2 detailed summary tables of results

 2.1 Detailed conclusion table per each integral for all CAS systems
 2.2 Detailed conclusion table specific for Rubi results

2.1 Detailed conclusion table per each integral for all CAS systems

Detailed conclusion table per each integral is given by table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given just an F.

In this table,the column normalized size is defined as \(\frac{\text{antiderivative leaf size}}{\text{optimal antiderivative leaf size}}\)











Problem 1 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 132 132 91 125 158 479 279 100 112
normalized size 1 1. 0.69 0.95 1.2 3.63 2.11 0.76 0.85
time (sec) N/A 0.2 0.086 0.057 0.817 0.279 14.634 0.334 31.879




















Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 201 201 136 198 257 806 830 158 178
normalized size 1 1. 0.68 0.99 1.28 4.01 4.13 0.79 0.89
time (sec) N/A 0.444 0.132 0.036 0.801 0.283 55.043 0.316 57.003




















Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 172 172 125 173 223 744 775 143 151
normalized size 1 1. 0.73 1.01 1.3 4.33 4.51 0.83 0.88
time (sec) N/A 0.317 0.115 0.022 0.814 0.282 52.306 0.322 43.081




















Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 159 159 114 148 189 657 653 130 136
normalized size 1 1. 0.72 0.93 1.19 4.13 4.11 0.82 0.86
time (sec) N/A 0.242 0.102 0.11 0.809 0.278 34.314 0.316 36.98




















Problem 5 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 116 116 103 123 155 598 580 113 114
normalized size 1 1. 0.89 1.06 1.34 5.16 5. 0.97 0.98
time (sec) N/A 0.103 0.092 0.018 0.82 0.283 32.332 0.321 21.708




















Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 116 116 103 123 155 598 580 113 114
normalized size 1 1. 0.89 1.06 1.34 5.16 5. 0.97 0.98
time (sec) N/A 0.098 0.023 0. 0.801 0.285 32.953 0.32 21.714




















Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 113 113 108 151 0 524 469 134 95
normalized size 1 1. 0.96 1.34 0. 4.64 4.15 1.19 0.84
time (sec) N/A 0.288 0.102 0.019 0. 0.288 25.965 0.298 43.786




















Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 117 117 114 182 0 532 386 212 99
normalized size 1 1. 0.97 1.56 0. 4.55 3.3 1.81 0.85
time (sec) N/A 0.293 0.161 0.033 0. 0.288 18.101 0.32 41.369




















Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 121 121 118 212 0 576 461 293 109
normalized size 1 1. 0.98 1.75 0. 4.76 3.81 2.42 0.9
time (sec) N/A 0.289 0.16 0.018 0. 0.291 22.857 0.307 41.85




















Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 120 120 115 235 0 572 457 352 104
normalized size 1 1. 0.96 1.96 0. 4.77 3.81 2.93 0.87
time (sec) N/A 0.29 0.174 0.023 0. 0.289 19.646 0.304 43.441




















Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 118 118 111 260 0 564 541 401 102
normalized size 1 1. 0.94 2.2 0. 4.78 4.58 3.4 0.86
time (sec) N/A 0.282 0.226 0.026 0. 0.303 27.81 0.317 43.09




















Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 108 108 106 158 0 531 774 497 88
normalized size 1 1. 0.98 1.46 0. 4.92 7.17 4.6 0.81
time (sec) N/A 0.171 0.1 0.03 0. 0.293 26.174 0.295 19.765




















Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 143 143 117 186 0 624 918 1 116
normalized size 1 1. 0.82 1.3 0. 4.36 6.42 0.01 0.81
time (sec) N/A 0.257 0.213 0.037 0. 0.349 40.625 0.295 31.996




















Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 172 172 128 211 0 711 1037 1 146
normalized size 1 1. 0.74 1.23 0. 4.13 6.03 0.01 0.85
time (sec) N/A 0.345 0.178 0.053 0. 0.372 43.526 0.294 45.4




















Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 201 201 139 236 0 799 1159 1 175
normalized size 1 1. 0.69 1.17 0. 3.98 5.77 0. 0.87
time (sec) N/A 0.443 0.206 0.075 0. 0.523 63.517 0.299 59.217




















Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 70 102 127 301 177 73 87
normalized size 1 1. 0.68 0.99 1.23 2.92 1.72 0.71 0.84
time (sec) N/A 0.159 0.069 0.02 0.805 0.277 11.376 0.291 27.506




















Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 63 99 123 243 163 89 63
normalized size 1 1. 0.86 1.36 1.68 3.33 2.23 1.22 0.86
time (sec) N/A 0.134 0.146 0.021 0.802 0.277 11.742 0.297 22.712




















Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 58 58 59 55 119 159 231 69 46
normalized size 1 1. 1.02 0.95 2.05 2.74 3.98 1.19 0.79
time (sec) N/A 0.095 0.053 0.013 0.72 0.271 12.803 0.298 10.796




















Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 161 161 128 227 439 965 2004 162 146
normalized size 1 1. 0.8 1.41 2.73 5.99 12.45 1.01 0.91
time (sec) N/A 0.423 0.194 0.102 0.804 0.313 56.171 0.298 47.408




















Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 147 147 115 195 393 841 1821 147 133
normalized size 1 1. 0.78 1.33 2.67 5.72 12.39 1. 0.9
time (sec) N/A 0.362 0.172 0.034 0.804 0.301 40.659 0.301 45.83




















Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 122 122 103 166 355 729 1739 131 109
normalized size 1 1. 0.84 1.36 2.91 5.98 14.25 1.07 0.89
time (sec) N/A 0.266 0.151 0.03 0.798 0.294 39.83 0.297 34.295




















Problem 22 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 84 84 82 77 215 336 418 86 70
normalized size 1 1. 0.98 0.92 2.56 4. 4.98 1.02 0.83
time (sec) N/A 0.164 0.062 0.012 0.721 0.283 24.287 0.294 17.997




















Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 90 90 82 77 181 369 337 78 80
normalized size 1 1. 0.91 0.86 2.01 4.1 3.74 0.87 0.89
time (sec) N/A 0.166 0.062 0.013 0.72 0.281 23.65 0.301 20.305




















Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 94 94 82 77 151 398 513 86 80
normalized size 1 1. 0.87 0.82 1.61 4.23 5.46 0.91 0.85
time (sec) N/A 0.171 0.058 0.012 0.726 0.283 24.242 0.296 16.97




















Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 83 83 82 77 117 429 432 77 68
normalized size 1 1. 0.99 0.93 1.41 5.17 5.2 0.93 0.82
time (sec) N/A 0.086 0.051 0.013 0.715 0.284 23.619 0.3 8.344




















Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 80 80 82 77 108 452 604 88 66
normalized size 1 1. 1.02 0.96 1.35 5.65 7.55 1.1 0.82
time (sec) N/A 0.053 0.046 0.012 0.714 0.286 24.096 0.299 7.794




















Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 117 117 106 163 0 718 2378 165 97
normalized size 1 1. 0.91 1.39 0. 6.14 20.32 1.41 0.83
time (sec) N/A 0.314 0.102 0.018 0. 0.294 36.523 0.292 44.755




















Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 153 153 123 195 0 875 2404 255 126
normalized size 1 1. 0.8 1.27 0. 5.72 15.71 1.67 0.82
time (sec) N/A 0.403 0.118 0.02 0. 0.296 43.266 0.3 52.798




















Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 184 184 138 227 0 1013 2691 351 162
normalized size 1 1. 0.75 1.23 0. 5.51 14.62 1.91 0.88
time (sec) N/A 0.5 0.133 0.023 0. 0.32 62.719 0.3 66.641




















Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 121 121 104 99 182 637 903 104 105
normalized size 1 1. 0.86 0.82 1.5 5.26 7.46 0.86 0.87
time (sec) N/A 0.188 0.086 0.015 0.711 0.331 48.956 0.291 20.17




















Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 148 148 126 121 213 875 1401 122 131
normalized size 1 1. 0.85 0.82 1.44 5.91 9.47 0.82 0.89
time (sec) N/A 0.206 0.106 0.015 0.708 0.45 160.059 0.295 23.556




















Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 37 85 101 197 102 95 44
normalized size 1 1. 0.69 1.57 1.87 3.65 1.89 1.76 0.81
time (sec) N/A 0.128 0.092 0.022 0.789 0.279 10.165 0.29 14.337




















Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 173 173 103 174 224 539 558 113 167
normalized size 1 1. 0.6 1.01 1.29 3.12 3.23 0.65 0.97
time (sec) N/A 0.573 0.115 0.036 0.787 0.28 37.018 0.291 56.541




















Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 144 144 92 149 190 479 357 99 136
normalized size 1 1. 0.64 1.03 1.32 3.33 2.48 0.69 0.94
time (sec) N/A 0.446 0.098 0.014 0.792 0.277 19.082 0.294 55.668




















Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 81 124 157 387 386 85 116
normalized size 1 1. 0.7 1.08 1.37 3.37 3.36 0.74 1.01
time (sec) N/A 0.319 0.087 0.013 0.786 0.277 22.608 0.288 41.051




















Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 83 83 70 98 122 313 218 66 95
normalized size 1 1. 0.84 1.18 1.47 3.77 2.63 0.8 1.14
time (sec) N/A 0.174 0.073 0.012 0.792 0.281 11.352 0.289 22.062




















Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 83 83 60 71 85 227 274 54 68
normalized size 1 1. 0.72 0.86 1.02 2.73 3.3 0.65 0.82
time (sec) N/A 0.077 0.052 0.011 0.792 0.274 9.962 0.292 16.601




















Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 66 66 68 91 0 171 189 88 53
normalized size 1 1. 1.03 1.38 0. 2.59 2.86 1.33 0.8
time (sec) N/A 0.236 0.05 0.012 0. 0.282 6.549 0.292 23.274




















Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 68 68 71 93 0 209 212 144 54
normalized size 1 1. 1.04 1.37 0. 3.07 3.12 2.12 0.79
time (sec) N/A 0.236 0.067 0.015 0. 0.282 7.555 0.291 24.262




















Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 80 80 71 86 0 255 214 230 65
normalized size 1 1. 0.89 1.08 0. 3.19 2.68 2.88 0.81
time (sec) N/A 0.229 0.086 0.015 0. 0.276 13.709 0.297 25.245




















Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 107 107 76 114 0 355 303 323 88
normalized size 1 1. 0.71 1.07 0. 3.32 2.83 3.02 0.82
time (sec) N/A 0.315 0.164 0.018 0. 0.274 13.721 0.295 28.177




















Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 140 140 95 139 0 443 449 412 122
normalized size 1 1. 0.68 0.99 0. 3.16 3.21 2.94 0.87
time (sec) N/A 0.403 0.133 0.019 0. 0.289 24.96 0.293 37.307




















Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 169 169 106 164 0 533 510 493 148
normalized size 1 1. 0.63 0.97 0. 3.15 3.02 2.92 0.88
time (sec) N/A 0.5 0.172 0.022 0. 0.295 22.097 0.299 42.136




















Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 143 143 118 193 390 635 0 143 144
normalized size 1 1. 0.83 1.35 2.73 4.44 0. 1. 1.01
time (sec) N/A 0.416 0.138 0.013 0.795 0.28 0. 0.3 75.275




















Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 121 121 106 236 420 548 0 128 121
normalized size 1 1. 0.88 1.95 3.47 4.53 0. 1.06 1.
time (sec) N/A 0.316 0.118 0.023 0.8 0.28 0. 0.292 58.075




















Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 70 65 209 247 0 85 97
normalized size 1 1. 0.72 0.67 2.15 2.55 0. 0.88 1.
time (sec) N/A 0.278 0.055 0.011 0.715 0.27 0. 0.296 44.034




















Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 87 87 70 66 177 277 0 82 75
normalized size 1 1. 0.8 0.76 2.03 3.18 0. 0.94 0.86
time (sec) N/A 0.222 0.057 0.011 0.722 0.274 0. 0.309 39.841




















Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 69 64 147 306 0 86 76
normalized size 1 1. 0.78 0.72 1.65 3.44 0. 0.97 0.85
time (sec) N/A 0.122 0.05 0.013 0.71 0.276 0. 0.294 12.292




















Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 70 65 105 333 0 82 66
normalized size 1 1. 0.91 0.84 1.36 4.32 0. 1.06 0.86
time (sec) N/A 0.056 0.048 0.011 0.717 0.271 0. 0.288 7.701




















Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 117 117 95 160 0 540 0 159 114
normalized size 1 1. 0.81 1.37 0. 4.62 0. 1.36 0.97
time (sec) N/A 0.339 0.091 0.013 0. 0.28 0. 0.297 41.597




















Problem 51 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 145 145 112 193 0 670 0 254 143
normalized size 1 1. 0.77 1.33 0. 4.62 0. 1.75 0.99
time (sec) N/A 0.429 0.109 0.016 0. 0.284 0. 0.296 52.551




















Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 182 182 127 224 0 832 0 351 199
normalized size 1 1. 0.7 1.23 0. 4.57 0. 1.93 1.09
time (sec) N/A 0.56 0.121 0.018 0. 0.281 0. 0.297 68.711




















Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 209 209 138 249 0 953 0 439 226
normalized size 1 1. 0.66 1.19 0. 4.56 0. 2.1 1.08
time (sec) N/A 0.722 0.127 0.025 0. 0.285 0. 0.303 84.274




















Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 81 81 77 71 95 239 73 46 61
normalized size 1 1. 0.95 0.88 1.17 2.95 0.9 0.57 0.75
time (sec) N/A 0.216 0.048 0.027 0.788 0.272 3.483 0.274 15.074




















Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 72 57 76 193 60 41 54
normalized size 1 1. 1.14 0.9 1.21 3.06 0.95 0.65 0.86
time (sec) N/A 0.161 0.043 0.008 0.782 0.27 1.985 0.284 14.289




















Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 26 41 54 159 37 28 39
normalized size 1 1. 0.63 1. 1.32 3.88 0.9 0.68 0.95
time (sec) N/A 0.09 0.024 0.007 0.783 0.27 1.006 0.276 7.117




















Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 60 29 38 123 27 26 31
normalized size 1 1. 1.5 0.72 0.95 3.08 0.68 0.65 0.78
time (sec) N/A 0.036 0.023 0.007 0.781 0.271 0.531 0.278 5.05




















Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 36 29 55 101 31 46 22
normalized size 1 1. 1.12 0.91 1.72 3.16 0.97 1.44 0.69
time (sec) N/A 0.118 0.025 0.009 0.78 0.279 6.235 0.277 7.611




















Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 39 30 57 132 51 74 24
normalized size 1 1. 1.18 0.91 1.73 4. 1.55 2.24 0.73
time (sec) N/A 0.12 0.032 0.011 0.786 0.279 9.281 0.284 8.457




















Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 51 51 46 42 73 144 116 123 39
normalized size 1 1. 0.9 0.82 1.43 2.82 2.27 2.41 0.76
time (sec) N/A 0.127 0.044 0.01 0.794 0.271 16.931 0.296 10.817




















Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 67 67 47 56 92 194 128 169 49
normalized size 1 1. 0.7 0.84 1.37 2.9 1.91 2.52 0.73
time (sec) N/A 0.167 0.05 0.012 0.793 0.273 18.227 0.295 12.548




















Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 58 70 111 231 223 220 71
normalized size 1 1. 0.65 0.79 1.25 2.6 2.51 2.47 0.8
time (sec) N/A 0.209 0.056 0.011 0.793 0.269 33.115 0.293 13.55




















Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 107 107 63 84 130 275 201 269 85
normalized size 1 1. 0.59 0.79 1.21 2.57 1.88 2.51 0.79
time (sec) N/A 0.252 0.062 0.013 0.792 0.271 34.984 0.292 15.419




















Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 134 134 102 212 0 541 544 398 129
normalized size 1 1. 0.76 1.58 0. 4.04 4.06 2.97 0.96
time (sec) N/A 0.41 0.169 0.03 0. 0.288 26.077 0.305 46.753




















Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 310 310 216 291 382 1251 0 230 0
normalized size 1 1. 0.7 0.94 1.23 4.04 0. 0.74 0.
time (sec) N/A 0.99 0.257 0.145 0.799 0.289 0. 0.289 0.




















Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 281 281 203 266 348 1162 0 216 0
normalized size 1 1. 0.72 0.95 1.24 4.14 0. 0.77 0.
time (sec) N/A 0.808 0.237 0.024 0.804 0.287 0. 0.288 0.




















Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 252 252 190 241 315 1103 1919 201 0
normalized size 1 1. 0.75 0.96 1.25 4.38 7.62 0.8 0.
time (sec) N/A 0.671 0.223 0.021 0.799 0.291 169.554 0.286 0.




















Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 223 223 177 216 281 1014 1681 188 0
normalized size 1 1. 0.79 0.97 1.26 4.55 7.54 0.84 0.
time (sec) N/A 0.536 0.197 0.017 0.798 0.288 115.11 0.289 0.




















Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 230 230 164 191 247 954 1554 173 204
normalized size 1 1. 0.71 0.83 1.07 4.15 6.76 0.75 0.89
time (sec) N/A 0.296 0.187 0.013 0.796 0.291 107.362 0.301 41.092




















Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 188 188 135 154 197 860 1284 158 163
normalized size 1 1. 0.72 0.82 1.05 4.57 6.83 0.84 0.87
time (sec) N/A 0.177 0.136 0.012 0.794 0.288 69.764 0.284 31.605




















Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 190 190 165 231 0 910 1263 193 218
normalized size 1 1. 0.87 1.22 0. 4.79 6.65 1.02 1.15
time (sec) N/A 0.62 0.142 0.016 0. 0.297 76.375 0.286 123.452




















Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 193 193 156 243 0 948 1057 269 223
normalized size 1 1. 0.81 1.26 0. 4.91 5.48 1.39 1.16
time (sec) N/A 0.627 0.304 0.019 0. 0.296 53.927 0.29 104.758




















Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 207 207 166 252 0 994 1059 354 238
normalized size 1 1. 0.8 1.22 0. 4.8 5.12 1.71 1.15
time (sec) N/A 0.625 0.297 0.021 0. 0.298 56.919 0.29 101.537




















Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 210 210 167 277 0 979 911 429 243
normalized size 1 1. 0.8 1.32 0. 4.66 4.34 2.04 1.16
time (sec) N/A 0.628 0.46 0.022 0. 0.299 41.279 0.292 89.774




















Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 209 209 164 302 0 994 1028 505 238
normalized size 1 1. 0.78 1.44 0. 4.76 4.92 2.42 1.14
time (sec) N/A 0.622 0.322 0.029 0. 0.301 50.926 0.295 83.786




















Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 216 216 167 327 0 994 1178 1 245
normalized size 1 1. 0.77 1.51 0. 4.6 5.45 0. 1.13
time (sec) N/A 0.619 0.487 0.035 0. 0.303 43.576 0.288 90.714




















Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 214 214 167 352 0 994 1397 1 248
normalized size 1 1. 0.78 1.64 0. 4.64 6.53 0. 1.16
time (sec) N/A 0.62 0.366 0.045 0. 0.301 61.438 0.296 91.814




















Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 206 206 161 377 0 988 1513 1 245
normalized size 1 1. 0.78 1.83 0. 4.8 7.34 0. 1.19
time (sec) N/A 0.621 0.273 0.062 0. 0.303 60.842 0.299 97.313




















Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 204 204 158 402 0 980 1719 1 248
normalized size 1 1. 0.77 1.97 0. 4.8 8.43 0. 1.22
time (sec) N/A 0.606 0.288 0.094 0. 0.553 89.102 0.306 109.416




















Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 187 187 150 250 0 887 1889 1 253
normalized size 1 1. 0.8 1.34 0. 4.74 10.1 0.01 1.35
time (sec) N/A 0.437 0.305 0.134 0. 0.579 90.895 0.3 122.167




















Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 225 225 161 278 0 980 2159 1 280
normalized size 1 1. 0.72 1.24 0. 4.36 9.6 0. 1.24
time (sec) N/A 0.536 0.266 0.209 0. 0.983 137.099 0.316 138.234




















Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 254 254 172 303 0 1068 2397 1 309
normalized size 1 1. 0.68 1.19 0. 4.2 9.44 0. 1.22
time (sec) N/A 0.638 0.252 0.327 0. 1.131 146.641 0.318 164.825




















Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 174 174 108 222 429 729 0 159 156
normalized size 1 1. 0.62 1.28 2.47 4.19 0. 0.91 0.9
time (sec) N/A 0.595 0.135 0.014 0.805 0.3 0. 0.304 68.435




















Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 142 142 86 262 455 603 0 144 128
normalized size 1 1. 0.61 1.85 3.2 4.25 0. 1.01 0.9
time (sec) N/A 0.481 0.139 0.013 0.795 0.297 0. 0.292 56.469




















Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 118 118 83 234 417 454 0 128 104
normalized size 1 1. 0.7 1.98 3.53 3.85 0. 1.08 0.88
time (sec) N/A 0.369 0.098 0.02 0.81 0.294 0. 0.293 53.724




















Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 93 93 53 55 208 212 0 97 80
normalized size 1 1. 0.57 0.59 2.24 2.28 0. 1.04 0.86
time (sec) N/A 0.274 0.046 0.01 0.726 0.282 0. 0.298 46.344




















Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 86 50 52 173 236 0 81 73
normalized size 1 1. 0.58 0.6 2.01 2.74 0. 0.94 0.85
time (sec) N/A 0.134 0.042 0.011 0.727 0.277 0. 0.296 13.186




















Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 53 55 136 271 0 95 80
normalized size 1 1. 0.51 0.53 1.32 2.63 0. 0.92 0.78
time (sec) N/A 0.136 0.036 0.01 0.726 0.279 0. 0.29 23.791




















Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 114 114 77 158 0 447 0 158 97
normalized size 1 1. 0.68 1.39 0. 3.92 0. 1.39 0.85
time (sec) N/A 0.347 0.146 0.017 0. 0.289 0. 0.293 46.677




















Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 145 145 94 190 0 620 0 250 124
normalized size 1 1. 0.65 1.31 0. 4.28 0. 1.72 0.86
time (sec) N/A 0.448 0.152 0.015 0. 0.295 0. 0.3 55.928




















Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 182 182 109 222 0 765 0 350 158
normalized size 1 1. 0.6 1.22 0. 4.2 0. 1.92 0.87
time (sec) N/A 0.563 0.182 0.018 0. 0.302 0. 0.31 65.807




















Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 147 147 91 208 0 450 0 104 129
normalized size 1 1. 0.62 1.41 0. 3.06 0. 0.71 0.88
time (sec) N/A 0.473 0.101 0.028 0. 0.292 0. 0.297 52.024




















Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 118 118 80 185 0 387 0 89 102
normalized size 1 1. 0.68 1.57 0. 3.28 0. 0.75 0.86
time (sec) N/A 0.352 0.079 0.015 0. 0.289 0. 0.294 40.469




















Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 86 69 160 0 301 0 73 87
normalized size 1 1. 0.8 1.86 0. 3.5 0. 0.85 1.01
time (sec) N/A 0.253 0.067 0.016 0. 0.284 0. 0.289 29.529




















Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 62 62 57 140 0 232 0 58 71
normalized size 1 1. 0.92 2.26 0. 3.74 0. 0.94 1.15
time (sec) N/A 0.136 0.053 0.011 0. 0.289 0. 0.293 16.88




















Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 43 77 0 111 0 42 36
normalized size 1 1. 0.93 1.67 0. 2.41 0. 0.91 0.78
time (sec) N/A 0.045 0.027 0.005 0. 0.283 0. 0.285 12.308




















Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 46 137 0 73 0 65 36
normalized size 1 1. 1. 2.98 0. 1.59 0. 1.41 0.78
time (sec) N/A 0.191 0.024 0.016 0. 0.29 0. 0.288 24.114




















Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 51 51 53 222 0 142 0 138 36
normalized size 1 1. 1.04 4.35 0. 2.78 0. 2.71 0.71
time (sec) N/A 0.186 0.044 0.02 0. 0.284 0. 0.3 16.363




















Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 82 82 70 254 0 259 0 0 65
normalized size 1 1. 0.85 3.1 0. 3.16 0. 0. 0.79
time (sec) N/A 0.265 0.081 0.016 0. 0.28 0. 0. 25.952




















Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 114 114 84 280 0 355 0 0 94
normalized size 1 1. 0.74 2.46 0. 3.11 0. 0. 0.82
time (sec) N/A 0.365 0.076 0.017 0. 0.285 0. 0. 38.338




















Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 143 143 95 304 0 428 0 0 122
normalized size 1 1. 0.66 2.13 0. 2.99 0. 0. 0.85
time (sec) N/A 0.455 0.095 0.018 0. 0.289 0. 0. 50.656




















Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 113 113 91 222 0 479 279 0 112
normalized size 1 1. 0.81 1.96 0. 4.24 2.47 0. 0.99
time (sec) N/A 0.27 0.085 0.018 0. 0.288 16.788 0. 33.436




















Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 201 201 135 330 0 806 830 0 178
normalized size 1 1. 0.67 1.64 0. 4.01 4.13 0. 0.89
time (sec) N/A 0.513 0.14 0.019 0. 0.293 62.595 0. 63.692




















Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 172 172 124 305 0 744 775 0 151
normalized size 1 1. 0.72 1.77 0. 4.33 4.51 0. 0.88
time (sec) N/A 0.388 0.122 0.016 0. 0.296 82.499 0. 47.258




















Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 140 140 113 282 0 657 653 0 136
normalized size 1 1. 0.81 2.01 0. 4.69 4.66 0. 0.97
time (sec) N/A 0.303 0.109 0.017 0. 0.287 40.521 0. 38.587




















Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 116 116 102 260 0 598 580 0 116
normalized size 1 1. 0.88 2.24 0. 5.16 5. 0. 1.
time (sec) N/A 0.173 0.095 0.013 0. 0.291 35.514 0. 22.063




















Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 100 100 91 147 147 504 435 0 83
normalized size 1 1. 0.91 1.47 1.47 5.04 4.35 0. 0.83
time (sec) N/A 0.074 0.092 0.009 0.79 0.291 21.917 0. 16.728




















Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 113 113 108 245 0 524 469 0 95
normalized size 1 1. 0.96 2.17 0. 4.64 4.15 0. 0.84
time (sec) N/A 0.358 0.102 0.015 0. 0.292 26.739 0. 49.932




















Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 114 380 0 532 386 0 99
normalized size 1 1. 0.99 3.3 0. 4.63 3.36 0. 0.86
time (sec) N/A 0.359 0.151 0.016 0. 0.298 21.063 0. 47.867




















Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 121 121 119 411 0 576 461 0 112
normalized size 1 1. 0.98 3.4 0. 4.76 3.81 0. 0.93
time (sec) N/A 0.369 0.2 0.018 0. 0.299 25.719 0. 50.646




















Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 120 120 116 439 0 572 457 0 104
normalized size 1 1. 0.97 3.66 0. 4.77 3.81 0. 0.87
time (sec) N/A 0.37 0.162 0.018 0. 0.297 22.567 0. 51.163




















Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 119 119 111 463 0 564 541 0 102
normalized size 1 1. 0.93 3.89 0. 4.74 4.55 0. 0.86
time (sec) N/A 0.363 0.223 0.019 0. 0.31 30.928 0. 51.723




















Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 108 108 106 493 0 531 774 1 88
normalized size 1 1. 0.98 4.56 0. 4.92 7.17 0.01 0.81
time (sec) N/A 0.264 0.109 0.021 0. 0.307 30.536 0.295 25.898




















Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 143 143 117 521 0 624 918 1 116
normalized size 1 1. 0.82 3.64 0. 4.36 6.42 0.01 0.81
time (sec) N/A 0.349 0.118 0.021 0. 0.353 79.674 0.315 37.897




















Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 172 172 128 546 0 711 1037 1 146
normalized size 1 1. 0.74 3.17 0. 4.13 6.03 0.01 0.85
time (sec) N/A 0.44 0.128 0.022 0. 0.382 49.101 0.314 53.765




















Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 201 201 139 571 0 799 1159 1 175
normalized size 1 1. 0.69 2.84 0. 3.98 5.77 0. 0.87
time (sec) N/A 0.534 0.146 0.024 0. 0.541 72.919 0.326 63.86




















Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 26 34 38 123 29 26 29
normalized size 1 1. 0.96 1.26 1.41 4.56 1.07 0.96 1.07
time (sec) N/A 0.068 0.026 0.009 0.785 0.286 5.62 0.283 5.266




















Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 51 51 54 238 111 242 170 169 41
normalized size 1 1. 1.06 4.67 2.18 4.75 3.33 3.31 0.8
time (sec) N/A 0.241 0.064 0.03 0.793 0.297 12.007 0.29 21.462




















Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 118 118 93 147 0 491 0 0 116
normalized size 1 1. 0.79 1.25 0. 4.16 0. 0. 0.98
time (sec) N/A 0.372 0.099 0.018 0. 0.288 0. 0. 44.152




















Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 91 91 70 120 0 370 0 0 92
normalized size 1 1. 0.77 1.32 0. 4.07 0. 0. 1.01
time (sec) N/A 0.248 0.116 0.015 0. 0.284 0. 0. 30.465




















Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 59 97 0 243 0 0 65
normalized size 1 1. 0.77 1.26 0. 3.16 0. 0. 0.84
time (sec) N/A 0.198 0.116 0.014 0. 0.293 0. 0. 22.186




















Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 52 52 49 74 0 119 0 0 42
normalized size 1 1. 0.94 1.42 0. 2.29 0. 0. 0.81
time (sec) N/A 0.082 0.054 0.013 0. 0.285 0. 0. 13.196




















Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 31 29 0 41 0 0 22
normalized size 1 1. 1. 0.94 0. 1.32 0. 0. 0.71
time (sec) N/A 0.034 0.024 0.009 0. 0.276 0. 0. 5.373




















Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 52 88 0 112 0 0 41
normalized size 1 1. 0.96 1.63 0. 2.07 0. 0. 0.76
time (sec) N/A 0.144 0.064 0.016 0. 0.283 0. 0. 15.783




















Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 81 81 65 108 0 271 0 0 65
normalized size 1 1. 0.8 1.33 0. 3.35 0. 0. 0.8
time (sec) N/A 0.215 0.105 0.016 0. 0.284 0. 0. 21.351




















Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 113 113 84 133 0 410 0 0 97
normalized size 1 1. 0.74 1.18 0. 3.63 0. 0. 0.86
time (sec) N/A 0.305 0.142 0.017 0. 0.287 0. 0. 33.853




















Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 128 128 106 208 0 605 0 0 163
normalized size 1 1. 0.83 1.62 0. 4.73 0. 0. 1.27
time (sec) N/A 0.368 0.117 0.026 0. 0.283 0. 0. 59.401




















Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 113 113 93 179 0 481 0 0 112
normalized size 1 1. 0.82 1.58 0. 4.26 0. 0. 0.99
time (sec) N/A 0.317 0.13 0.014 0. 0.292 0. 0. 44.367




















Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 80 153 0 369 0 0 88
normalized size 1 1. 0.9 1.72 0. 4.15 0. 0. 0.99
time (sec) N/A 0.239 0.133 0.014 0. 0.291 0. 0. 30.598




















Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 60 48 0 158 0 1 46
normalized size 1 1. 1. 0.8 0. 2.63 0. 0.02 0.77
time (sec) N/A 0.115 0.043 0.011 0. 0.28 0. 0.289 9.208




















Problem 131 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 58 58 56 44 0 186 0 0 46
normalized size 1 1. 0.97 0.76 0. 3.21 0. 0. 0.79
time (sec) N/A 0.082 0.038 0.011 0. 0.284 0. 0. 6.721




















Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 58 58 58 46 0 213 0 0 46
normalized size 1 1. 1. 0.79 0. 3.67 0. 0. 0.79
time (sec) N/A 0.047 0.04 0.009 0. 0.284 0. 0. 6.195




















Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 88 88 83 142 0 335 0 0 70
normalized size 1 1. 0.94 1.61 0. 3.81 0. 0. 0.8
time (sec) N/A 0.239 0.132 0.017 0. 0.289 0. 0. 27.868




















Problem 134 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 120 120 101 188 0 514 0 1 97
normalized size 1 1. 0.84 1.57 0. 4.28 0. 0.01 0.81
time (sec) N/A 0.327 0.144 0.021 0. 0.288 0. 0.293 35.517




















Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 152 152 115 216 0 653 0 0 131
normalized size 1 1. 0.76 1.42 0. 4.3 0. 0. 0.86
time (sec) N/A 0.412 0.107 0.021 0. 0.289 0. 0. 47.397




















Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 162 162 128 0 0 963 0 0 260
normalized size 1 1. 0.79 0. 0. 5.94 0. 0. 1.6
time (sec) N/A 0.511 0.15 180. 0. 0.327 0. 0. 98.34




















Problem 137 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 148 148 115 288 0 838 0 0 182
normalized size 1 1. 0.78 1.95 0. 5.66 0. 0. 1.23
time (sec) N/A 0.454 0.161 0.045 0. 0.307 0. 0. 77.206




















Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 122 122 103 259 0 726 0 0 160
normalized size 1 1. 0.84 2.12 0. 5.95 0. 0. 1.31
time (sec) N/A 0.351 0.117 0.015 0. 0.306 0. 0. 58.691




















Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 85 85 82 70 0 336 0 0 70
normalized size 1 1. 0.96 0.82 0. 3.95 0. 0. 0.82
time (sec) N/A 0.254 0.066 0.011 0. 0.292 0. 0. 21.061




















Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 91 91 82 70 0 367 0 0 80
normalized size 1 1. 0.9 0.77 0. 4.03 0. 0. 0.88
time (sec) N/A 0.25 0.058 0.011 0. 0.285 0. 0. 15.426




















Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 82 70 0 397 0 0 80
normalized size 1 1. 0.86 0.74 0. 4.18 0. 0. 0.84
time (sec) N/A 0.177 0.054 0.01 0. 0.289 0. 0. 13.887




















Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 85 85 82 70 0 427 0 0 70
normalized size 1 1. 0.96 0.82 0. 5.02 0. 0. 0.82
time (sec) N/A 0.097 0.054 0.011 0. 0.296 0. 0. 8.704




















Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 82 82 82 70 0 452 0 0 68
normalized size 1 1. 1. 0.85 0. 5.51 0. 0. 0.83
time (sec) N/A 0.059 0.052 0.011 0. 0.295 0. 0. 8.01




















Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 119 119 106 196 0 717 0 0 97
normalized size 1 1. 0.89 1.65 0. 6.03 0. 0. 0.82
time (sec) N/A 0.331 0.11 0.019 0. 0.307 0. 0. 40.386




















Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 154 154 122 268 0 871 0 0 126
normalized size 1 1. 0.79 1.74 0. 5.66 0. 0. 0.82
time (sec) N/A 0.431 0.149 0.02 0. 0.307 0. 0. 50.928




















Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 186 186 137 298 0 1010 0 0 162
normalized size 1 1. 0.74 1.6 0. 5.43 0. 0. 0.87
time (sec) N/A 0.524 0.151 0.023 0. 0.33 0. 0. 65.164




















Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 215 215 148 326 0 1125 0 0 189
normalized size 1 1. 0.69 1.52 0. 5.23 0. 0. 0.88
time (sec) N/A 0.641 0.181 0.025 0. 0.33 0. 0. 79.088




















Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 118 118 104 92 0 605 0 0 116
normalized size 1 1. 0.88 0.78 0. 5.13 0. 0. 0.98
time (sec) N/A 0.268 0.083 0.012 0. 0.341 0. 0. 26.151




















Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 123 123 104 92 0 636 0 0 105
normalized size 1 1. 0.85 0.75 0. 5.17 0. 0. 0.85
time (sec) N/A 0.201 0.07 0.012 0. 0.344 0. 0. 17.186




















Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 66 66 44 100 92 286 0 105 65
normalized size 1 1. 0.67 1.52 1.39 4.33 0. 1.59 0.98
time (sec) N/A 0.222 0.091 0.018 0.79 0.293 0. 0.284 17.931




















Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 55 55 37 84 70 197 0 95 44
normalized size 1 1. 0.67 1.53 1.27 3.58 0. 1.73 0.8
time (sec) N/A 0.182 0.081 0.011 0.789 0.293 0. 0.288 13.062




















Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 31 65 45 104 0 70 27
normalized size 1 1. 0.91 1.91 1.32 3.06 0. 2.06 0.79
time (sec) N/A 0.074 0.037 0.011 0.788 0.283 0. 0.312 7.218




















Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 26 26 23 22 31 32 0 46 19
normalized size 1 1. 0.88 0.85 1.19 1.23 0. 1.77 0.73
time (sec) N/A 0.032 0.017 0.007 0.782 0.267 0. 0.3 4.627




















Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 45 58 78 84 0 100 29
normalized size 1 1. 1.1 1.41 1.9 2.05 0. 2.44 0.71
time (sec) N/A 0.132 0.062 0.016 0.899 0.285 0. 0.301 11.071




















Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 64 64 54 73 0 211 0 203 48
normalized size 1 1. 0.84 1.14 0. 3.3 0. 3.17 0.75
time (sec) N/A 0.2 0.077 0.016 0. 0.285 0. 0.289 15.802




















Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 90 90 74 94 0 317 0 288 75
normalized size 1 1. 0.82 1.04 0. 3.52 0. 3.2 0.83
time (sec) N/A 0.275 0.143 0.017 0. 0.288 0. 0.287 22.958




















Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 229 229 135 375 0 806 0 0 212
normalized size 1 1. 0.59 1.64 0. 3.52 0. 0. 0.93
time (sec) N/A 0.815 0.135 0.027 0. 0.294 0. 0. 89.496




















Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 200 200 124 350 0 714 0 0 196
normalized size 1 1. 0.62 1.75 0. 3.57 0. 0. 0.98
time (sec) N/A 0.676 0.121 0.02 0. 0.294 0. 0. 75.302




















Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 171 171 113 327 0 657 0 0 162
normalized size 1 1. 0.66 1.91 0. 3.84 0. 0. 0.95
time (sec) N/A 0.532 0.106 0.02 0. 0.29 0. 0. 69.483




















Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 142 142 102 303 0 568 0 0 144
normalized size 1 1. 0.72 2.13 0. 4. 0. 0. 1.01
time (sec) N/A 0.412 0.099 0.017 0. 0.288 0. 0. 57.52




















Problem 161 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 136 136 91 198 225 509 321 0 116
normalized size 1 1. 0.67 1.46 1.65 3.74 2.36 0. 0.85
time (sec) N/A 0.151 0.086 0.015 0.792 0.295 21.002 0. 22.197




















Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 108 108 80 194 161 412 350 0 90
normalized size 1 1. 0.74 1.8 1.49 3.81 3.24 0. 0.83
time (sec) N/A 0.112 0.069 0.009 0.792 0.288 23.473 0. 24.351




















Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 96 96 96 290 0 392 267 1 92
normalized size 1 1. 1. 3.02 0. 4.08 2.78 0.01 0.96
time (sec) N/A 0.391 0.086 0.017 0. 0.301 19.063 4.916 34.922




















Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 105 105 100 425 0 429 347 0 105
normalized size 1 1. 0.95 4.05 0. 4.09 3.3 0. 1.
time (sec) N/A 0.383 0.115 0.019 0. 0.295 22.738 0. 36.702




















Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 110 110 102 456 0 470 347 0 107
normalized size 1 1. 0.93 4.15 0. 4.27 3.15 0. 0.97
time (sec) N/A 0.398 0.127 0.018 0. 0.294 23.305 0. 39.837




















Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 102 102 96 479 0 463 338 0 99
normalized size 1 1. 0.94 4.7 0. 4.54 3.31 0. 0.97
time (sec) N/A 0.39 0.165 0.02 0. 0.293 26.17 0. 37.372




















Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 108 108 95 513 0 425 0 0 94
normalized size 1 1. 0.88 4.75 0. 3.94 0. 0. 0.87
time (sec) N/A 0.328 0.122 0.02 0. 0.291 0. 0. 38.566




















Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 140 140 106 541 0 533 0 0 116
normalized size 1 1. 0.76 3.86 0. 3.81 0. 0. 0.83
time (sec) N/A 0.416 0.125 0.022 0. 0.305 0. 0. 40.298




















Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 169 169 117 566 0 624 0 0 150
normalized size 1 1. 0.69 3.35 0. 3.69 0. 0. 0.89
time (sec) N/A 0.499 0.168 0.025 0. 0.36 0. 0. 53.525




















Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 198 198 128 591 0 711 0 0 168
normalized size 1 1. 0.65 2.98 0. 3.59 0. 0. 0.85
time (sec) N/A 0.606 0.134 0.025 0. 0.389 0. 0. 54.169




















Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 123 123 106 198 0 547 0 4 121
normalized size 1 1. 0.86 1.61 0. 4.45 0. 0.03 0.98
time (sec) N/A 0.402 0.116 0.02 0. 0.293 0. 0.673 43.096




















Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 99 99 70 65 0 246 0 4 97
normalized size 1 1. 0.71 0.66 0. 2.48 0. 0.04 0.98
time (sec) N/A 0.375 0.052 0.011 0. 0.281 0. 0.665 30.928




















Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 70 65 0 278 0 4 75
normalized size 1 1. 0.79 0.73 0. 3.12 0. 0.04 0.84
time (sec) N/A 0.311 0.048 0.012 0. 0.283 0. 0.633 25.727




















Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 91 91 69 64 0 308 0 4 76
normalized size 1 1. 0.76 0.7 0. 3.38 0. 0.04 0.84
time (sec) N/A 0.122 0.046 0.011 0. 0.284 0. 0.647 11.099




















Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 91 91 70 66 0 332 0 4 75
normalized size 1 1. 0.77 0.73 0. 3.65 0. 0.04 0.82
time (sec) N/A 0.084 0.053 0.01 0. 0.282 0. 0.64 10.395




















Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 118 118 95 187 0 539 0 4 114
normalized size 1 1. 0.81 1.58 0. 4.57 0. 0.03 0.97
time (sec) N/A 0.425 0.09 0.017 0. 0.291 0. 0.679 33.434




















Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 146 146 112 234 0 670 0 4 143
normalized size 1 1. 0.77 1.6 0. 4.59 0. 0.03 0.98
time (sec) N/A 0.518 0.109 0.018 0. 0.287 0. 0.665 44.439




















Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 183 183 127 259 0 830 0 4 199
normalized size 1 1. 0.69 1.42 0. 4.54 0. 0.02 1.09
time (sec) N/A 0.638 0.115 0.021 0. 0.292 0. 0.654 61.46




















Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 177 177 98 212 0 730 0 0 156
normalized size 1 1. 0.55 1.2 0. 4.12 0. 0. 0.88
time (sec) N/A 0.724 0.149 0.025 0. 0.305 0. 0. 55.229




















Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 146 146 85 187 0 605 0 0 128
normalized size 1 1. 0.58 1.28 0. 4.14 0. 0. 0.88
time (sec) N/A 0.594 0.165 0.018 0. 0.287 0. 0. 45.03




















Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 120 120 73 163 0 456 0 0 104
normalized size 1 1. 0.61 1.36 0. 3.8 0. 0. 0.87
time (sec) N/A 0.483 0.11 0.016 0. 0.291 0. 0. 40.507




















Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 52 55 0 213 0 0 80
normalized size 1 1. 0.55 0.58 0. 2.24 0. 0. 0.84
time (sec) N/A 0.275 0.044 0.011 0. 0.283 0. 0. 30.167




















Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 49 52 0 238 0 0 78
normalized size 1 1. 0.51 0.54 0. 2.45 0. 0. 0.8
time (sec) N/A 0.145 0.039 0.011 0. 0.281 0. 0. 13.655




















Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 100 100 52 55 0 273 0 0 82
normalized size 1 1. 0.52 0.55 0. 2.73 0. 0. 0.82
time (sec) N/A 0.111 0.035 0.01 0. 0.281 0. 0. 13.122




















Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 76 179 0 450 0 0 97
normalized size 1 1. 0.66 1.56 0. 3.91 0. 0. 0.84
time (sec) N/A 0.426 0.136 0.017 0. 0.287 0. 0. 35.924




















Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 146 146 92 199 0 620 0 1 124
normalized size 1 1. 0.63 1.36 0. 4.25 0. 0.01 0.85
time (sec) N/A 0.531 0.217 0.018 0. 0.293 0. 0.31 44.3




















Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 183 183 107 222 0 767 0 1 158
normalized size 1 1. 0.58 1.21 0. 4.19 0. 0.01 0.86
time (sec) N/A 0.649 0.187 0.019 0. 0.3 0. 0.32 57.712




















Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 204 204 109 297 0 845 0 1 175
normalized size 1 1. 0.53 1.46 0. 4.14 0. 0. 0.86
time (sec) N/A 0.93 0.115 0.032 0. 0.312 0. 0.324 55.582




















Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 160 160 98 273 0 730 0 1 155
normalized size 1 1. 0.61 1.71 0. 4.56 0. 0.01 0.97
time (sec) N/A 0.714 0.183 0.018 0. 0.302 0. 0.323 48.679




















Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 148 148 85 212 0 605 0 1 124
normalized size 1 1. 0.57 1.43 0. 4.09 0. 0.01 0.84
time (sec) N/A 0.424 0.121 0.015 0. 0.297 0. 0.297 40.913




















Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 73 214 0 455 0 1 99
normalized size 1 1. 0.63 1.86 0. 3.96 0. 0.01 0.86
time (sec) N/A 0.279 0.135 0.016 0. 0.294 0. 0.296 31.405




















Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 64 64 50 42 0 242 0 1 53
normalized size 1 1. 0.78 0.66 0. 3.78 0. 0.02 0.83
time (sec) N/A 0.101 0.034 0.01 0. 0.285 0. 0.288 8.867




















Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 67 67 51 43 0 271 0 1 53
normalized size 1 1. 0.76 0.64 0. 4.04 0. 0.01 0.79
time (sec) N/A 0.067 0.031 0.007 0. 0.273 0. 0.29 8.532




















Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 110 110 76 196 0 448 0 1 95
normalized size 1 1. 0.69 1.78 0. 4.07 0. 0.01 0.86
time (sec) N/A 0.425 0.123 0.017 0. 0.288 0. 0.301 48.237




















Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 143 143 92 361 0 629 0 1 122
normalized size 1 1. 0.64 2.52 0. 4.4 0. 0.01 0.85
time (sec) N/A 0.527 0.215 0.018 0. 0.292 0. 0.293 60.206




















Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 183 183 107 389 0 767 0 1 156
normalized size 1 1. 0.58 2.13 0. 4.19 0. 0.01 0.85
time (sec) N/A 0.645 0.176 0.02 0. 0.302 0. 0.296 73.908




















Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 210 210 118 412 0 882 0 1 180
normalized size 1 1. 0.56 1.96 0. 4.2 0. 0. 0.86
time (sec) N/A 0.795 0.248 0.02 0. 0.311 0. 0.337 82.119




















Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 252 252 131 416 0 967 0 1 218
normalized size 1 1. 0.52 1.65 0. 3.84 0. 0. 0.87
time (sec) N/A 0.974 0.169 0.031 0. 0.303 0. 0.302 120.445




















Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 224 224 125 393 0 849 0 1 194
normalized size 1 1. 0.56 1.75 0. 3.79 0. 0. 0.87
time (sec) N/A 0.804 0.138 0.021 0. 0.301 0. 0.307 93.203




















Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 192 192 109 285 0 729 0 1 163
normalized size 1 1. 0.57 1.48 0. 3.8 0. 0.01 0.85
time (sec) N/A 0.666 0.134 0.019 0. 0.296 0. 0.335 88.979




















Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 182 182 103 288 0 612 0 1 143
normalized size 1 1. 0.57 1.58 0. 3.36 0. 0.01 0.79
time (sec) N/A 0.482 0.144 0.017 0. 0.292 0. 0.331 62.56




















Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 130 130 83 290 0 489 0 1 116
normalized size 1 1. 0.64 2.23 0. 3.76 0. 0.01 0.89
time (sec) N/A 0.166 0.132 0.016 0. 0.292 0. 0.31 25.263




















Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 113 113 75 284 0 366 0 1 95
normalized size 1 1. 0.66 2.51 0. 3.24 0. 0.01 0.84
time (sec) N/A 0.116 0.1 0.008 0. 0.289 0. 0.302 23.023




















Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 79 378 0 328 0 1 75
normalized size 1 1. 0.89 4.25 0. 3.69 0. 0.01 0.84
time (sec) N/A 0.393 0.118 0.017 0. 0.293 0. 0.306 31.794




















Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 94 94 84 515 0 367 0 1 76
normalized size 1 1. 0.89 5.48 0. 3.9 0. 0.01 0.81
time (sec) N/A 0.394 0.164 0.019 0. 0.293 0. 0.341 32.571




















Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 110 110 85 504 0 405 0 1 88
normalized size 1 1. 0.77 4.58 0. 3.68 0. 0.01 0.8
time (sec) N/A 0.413 0.2 0.021 0. 0.282 0. 0.338 33.363




















Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 137 94 575 0 528 0 1 117
normalized size 1 1. 0.69 4.2 0. 3.85 0. 0.01 0.85
time (sec) N/A 0.526 0.218 0.024 0. 0.276 0. 0.392 41.996




















Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 170 170 107 600 0 648 0 1 148
normalized size 1 1. 0.63 3.53 0. 3.81 0. 0.01 0.87
time (sec) N/A 0.648 0.193 0.023 0. 0.286 0. 0.353 54.624




















Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 196 196 118 628 0 765 0 1 172
normalized size 1 1. 0.6 3.2 0. 3.9 0. 0.01 0.88
time (sec) N/A 0.797 0.299 0.024 0. 0.285 0. 0.348 67.506




















Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 50 200 0 352 0 217 78
normalized size 1 1. 0.53 2.11 0. 3.71 0. 2.28 0.82
time (sec) N/A 0.25 0.085 0.025 0. 0.289 0. 0.276 24.474




















Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 88 88 50 44 207 251 0 274 73
normalized size 1 1. 0.57 0.5 2.35 2.85 0. 3.11 0.83
time (sec) N/A 0.252 0.038 0.009 0.722 0.281 0. 0.283 25.761




















Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 209 209 137 132 0 961 0 0 187
normalized size 1 1. 0.66 0.63 0. 4.6 0. 0. 0.89
time (sec) N/A 0.571 0.111 0.015 0. 0.521 0. 0. 73.401




















Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 209 209 137 132 0 992 0 0 187
normalized size 1 1. 0.66 0.63 0. 4.75 0. 0. 0.89
time (sec) N/A 0.416 0.097 0.015 0. 0.514 0. 0. 62.179




















Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 211 211 137 132 0 1021 0 0 185
normalized size 1 1. 0.65 0.63 0. 4.84 0. 0. 0.88
time (sec) N/A 0.261 0.101 0.014 0. 0.517 0. 0. 29.765




















Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 205 205 137 132 0 1045 0 0 177
normalized size 1 1. 0.67 0.64 0. 5.1 0. 0. 0.86
time (sec) N/A 0.218 0.099 0.014 0. 0.518 0. 0. 29.219




















Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 234 234 161 385 0 1608 0 0 257
normalized size 1 1. 0.69 1.65 0. 6.87 0. 0. 1.1
time (sec) N/A 0.855 0.178 0.034 0. 0.656 0. 0. 87.156




















Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 271 271 183 484 0 1769 0 0 296
normalized size 1 1. 0.68 1.79 0. 6.53 0. 0. 1.09
time (sec) N/A 1.037 0.181 0.021 0. 0.947 0. 0. 117.476




















Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 102 102 92 95 72 1 0 154 87
normalized size 1 1. 0.9 0.93 0.71 0.01 0. 1.51 0.85
time (sec) N/A 0.375 0.174 0.04 0.796 0.294 0. 0.303 22.908




















Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 39 39 47 58 38 1 0 69 36
normalized size 1 1. 1.21 1.49 0.97 0.03 0. 1.77 0.92
time (sec) N/A 0.135 0.032 0.017 0.769 0.291 0. 0.296 10.139




















Problem 220 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 35 62 0 1 83 0 29
normalized size 1 1. 1. 1.77 0. 0.03 2.37 0. 0.83
time (sec) N/A 0.033 0.027 0.026 0. 0.288 5.87 0. 5.926




















Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F(-2) A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 80 76 0 1 0 0 29
normalized size 1 1. 2.29 2.17 0. 0.03 0. 0. 0.83
time (sec) N/A 0.109 0.107 0.019 0. 0.312 0. 0. 9.753




















Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 34 57 0 1 29 0 29
normalized size 1 1. 1. 1.68 0. 0.03 0.85 0. 0.85
time (sec) N/A 0.028 0.022 0.008 0. 0.288 5.784 0. 5.088




















Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B F(-2) A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 100 86 0 1 0 0 29
normalized size 1 1. 2.94 2.53 0. 0.03 0. 0. 0.85
time (sec) N/A 0.112 0.142 0.017 0. 0.318 0. 0. 9.624




















Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 49 79 0 1 148 0 51
normalized size 1 1. 0.78 1.25 0. 0.02 2.35 0. 0.81
time (sec) N/A 0.049 0.041 0.007 0. 0.287 10.235 0. 8.209




















Problem 225 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F(-2) A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 94 92 0 1 0 0 49
normalized size 1 1. 1.49 1.46 0. 0.02 0. 0. 0.78
time (sec) N/A 0.12 0.141 0.016 0. 0.319 0. 0. 11.966




















Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 250 250 377 0 0 0 0 0 287
normalized size 1 1. 1.51 0. 0. 0. 0. 0. 1.15
time (sec) N/A 0.676 0.716 0.099 0. 0. 0. 0. 72.827




















Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 206 206 335 0 0 0 0 0 214
normalized size 1 1. 1.63 0. 0. 0. 0. 0. 1.04
time (sec) N/A 0.424 0.555 0.038 0. 0. 0. 0. 52.655




















Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 162 162 289 0 0 0 374 0 138
normalized size 1 1. 1.78 0. 0. 0. 2.31 0. 0.85
time (sec) N/A 0.225 0.396 0.03 0. 0. 176.499 0. 26.583




















Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 80 80 183 0 0 0 61 0 68
normalized size 1 1. 2.29 0. 0. 0. 0.76 0. 0.85
time (sec) N/A 0.072 0.166 0.028 0. 0. 134.14 0. 11.674




















Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 163 163 203 0 0 0 0 0 138
normalized size 1 1. 1.25 0. 0. 0. 0. 0. 0.85
time (sec) N/A 0.433 0.227 0.049 0. 0. 0. 0. 50.895




















Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 204 204 175 0 0 0 0 0 209
normalized size 1 1. 0.86 0. 0. 0. 0. 0. 1.02
time (sec) N/A 0.486 0.165 0.042 0. 0. 0. 0. 77.745




















Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 250 250 272 0 0 0 0 0 274
normalized size 1 1. 1.09 0. 0. 0. 0. 0. 1.1
time (sec) N/A 0.737 1.271 0.041 0. 0. 0. 0. 113.819




















Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 213 213 240 0 0 0 0 0 280
normalized size 1 1. 1.13 0. 0. 0. 0. 0. 1.31
time (sec) N/A 0.43 0.357 0.035 0. 0. 0. 0. 71.134




















Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 216 216 178 0 0 0 0 0 209
normalized size 1 1. 0.82 0. 0. 0. 0. 0. 0.97
time (sec) N/A 0.427 0.216 0.035 0. 0. 0. 0. 52.269




















Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 124 162 121 0 0 0 0 0 134
normalized size 1 1.31 0.98 0. 0. 0. 0. 0. 1.08
time (sec) N/A 0.238 0.145 0.031 0. 0. 0. 0. 26.533




















Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 80 80 76 0 0 0 60 0 66
normalized size 1 1. 0.95 0. 0. 0. 0.75 0. 0.82
time (sec) N/A 0.073 0.042 0.029 0. 0. 155.627 0. 11.578




















Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 163 163 161 0 0 0 0 0 134
normalized size 1 1. 0.99 0. 0. 0. 0. 0. 0.82
time (sec) N/A 0.443 1.009 0.041 0. 0. 0. 0. 51.397




















Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F F(-1) A A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 217 217 157 0 0 0 0 4 209
normalized size 1 1. 0.72 0. 0. 0. 0. 0.02 0.96
time (sec) N/A 0.505 1.052 0.041 0. 0. 0. 0.654 86.44




















Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 214 214 157 0 0 0 0 0 280
normalized size 1 1. 0.73 0. 0. 0. 0. 0. 1.31
time (sec) N/A 0.506 1.042 0.043 0. 0. 0. 0. 115.693




















Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 148 148 208 0 0 0 972 0 121
normalized size 1 1. 1.41 0. 0. 0. 6.57 0. 0.82
time (sec) N/A 0.226 0.245 0.127 0. 0. 19.067 0. 38.172




















Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 147 147 208 0 0 0 972 0 119
normalized size 1 1. 1.41 0. 0. 0. 6.61 0. 0.81
time (sec) N/A 0.214 0.21 0.073 0. 0. 16.924 0. 38.649




















Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 120 120 161 0 0 0 382 0 97
normalized size 1 1. 1.34 0. 0. 0. 3.18 0. 0.81
time (sec) N/A 0.171 0.15 0.066 0. 0. 12.05 0. 33.398




















Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 119 119 161 0 0 0 382 0 95
normalized size 1 1. 1.35 0. 0. 0. 3.21 0. 0.8
time (sec) N/A 0.17 0.12 0.057 0. 0. 10.801 0. 34.88




















Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F(-2) F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 121 0 0 0 85 0 71
normalized size 1 1. 1.36 0. 0. 0. 0.96 0. 0.8
time (sec) N/A 0.094 0.108 0.052 0. 0. 6.985 0. 17.814




















Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 83 83 116 0 0 0 82 0 66
normalized size 1 1. 1.4 0. 0. 0. 0.99 0. 0.8
time (sec) N/A 0.057 0.072 0.046 0. 0. 6.315 0. 25.107




















Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 104 104 104 0 0 0 78 0 82
normalized size 1 1. 1. 0. 0. 0. 0.75 0. 0.79
time (sec) N/A 0.126 0.076 0.038 0. 0. 9.956 0. 30.47




















Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 108 108 106 0 0 0 82 0 88
normalized size 1 1. 0.98 0. 0. 0. 0.76 0. 0.81
time (sec) N/A 0.139 0.07 0.046 0. 0. 10.062 0. 22.181




















Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 110 110 111 0 0 0 85 0 90
normalized size 1 1. 1.01 0. 0. 0. 0.77 0. 0.82
time (sec) N/A 0.146 0.103 0.054 0. 0. 12.138 0. 23.611




















Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 178 178 268 0 0 0 2924 0 150
normalized size 1 1. 1.51 0. 0. 0. 16.43 0. 0.84
time (sec) N/A 0.316 0.297 0.093 0. 0. 36.13 0. 82.62




















Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 185 185 252 0 0 0 1015 0 172
normalized size 1 1. 1.36 0. 0. 0. 5.49 0. 0.93
time (sec) N/A 0.329 0.394 0.086 0. 0. 22.542 0. 64.092




















Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 149 149 211 0 0 0 1328 0 124
normalized size 1 1. 1.42 0. 0. 0. 8.91 0. 0.83
time (sec) N/A 0.266 0.239 0.073 0. 0. 21.345 0. 64.773




















Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 155 155 202 0 0 0 425 0 146
normalized size 1 1. 1.3 0. 0. 0. 2.74 0. 0.94
time (sec) N/A 0.275 0.246 0.066 0. 0. 14.377 0. 50.103




















Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F(-2) F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 118 118 163 0 0 0 440 0 102
normalized size 1 1. 1.38 0. 0. 0. 3.73 0. 0.86
time (sec) N/A 0.182 0.157 0.058 0. 0. 11.705 0. 34.077




















Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 71 71 150 0 0 0 124 0 68
normalized size 1 1. 2.11 0. 0. 0. 1.75 0. 0.96
time (sec) N/A 0.078 0.183 0.053 0. 0. 8.68 0. 26.708




















Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 128 128 147 0 0 0 136 0 102
normalized size 1 1. 1.15 0. 0. 0. 1.06 0. 0.8
time (sec) N/A 0.186 0.419 0.041 0. 0. 10.287 0. 37.863




















Problem 256 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 128 128 148 0 0 0 116 0 133
normalized size 1 1. 1.16 0. 0. 0. 0.91 0. 1.04
time (sec) N/A 0.218 0.206 0.046 0. 0. 12.699 0. 44.874




















Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 139 139 152 0 0 0 139 0 136
normalized size 1 1. 1.09 0. 0. 0. 1. 0. 0.98
time (sec) N/A 0.249 0.233 0.057 0. 0. 15.252 0. 35.023




















Problem 258 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 222 222 320 0 0 0 2966 0 207
normalized size 1 1. 1.44 0. 0. 0. 13.36 0. 0.93
time (sec) N/A 0.411 0.473 0.083 0. 0. 44.325 0. 101.881




















Problem 259 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 218 218 323 0 0 0 2966 0 204
normalized size 1 1. 1.48 0. 0. 0. 13.61 0. 0.94
time (sec) N/A 0.4 0.447 0.092 0. 0. 39.709 0. 94.658




















Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 193 193 262 0 0 0 1370 0 182
normalized size 1 1. 1.36 0. 0. 0. 7.1 0. 0.94
time (sec) N/A 0.367 0.36 0.084 0. 0. 26.954 0. 82.278




















Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 189 189 269 0 0 0 1370 0 178
normalized size 1 1. 1.42 0. 0. 0. 7.25 0. 0.94
time (sec) N/A 0.362 0.344 0.076 0. 0. 23.915 0. 77.581




















Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F(-2) F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 116 116 207 0 0 0 479 0 104
normalized size 1 1. 1.78 0. 0. 0. 4.13 0. 0.9
time (sec) N/A 0.17 0.253 0.079 0. 0. 15.443 0. 33.336




















Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 271 0 0 0 476 0 68
normalized size 1 1. 3.71 0. 0. 0. 6.52 0. 0.93
time (sec) N/A 0.073 0.23 0.059 0. 0. 13.511 0. 26.102




















Problem 264 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 171 171 194 0 0 0 178 0 160
normalized size 1 1. 1.13 0. 0. 0. 1.04 0. 0.94
time (sec) N/A 0.257 0.733 0.041 0. 0. 13.926 0. 51.846




















Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 159 159 264 0 0 0 177 0 158
normalized size 1 1. 1.66 0. 0. 0. 1.11 0. 0.99
time (sec) N/A 0.323 0.363 0.047 0. 0. 14.068 0. 51.883




















Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 166 166 201 0 0 0 177 0 182
normalized size 1 1. 1.21 0. 0. 0. 1.07 0. 1.1
time (sec) N/A 0.367 0.29 0.058 0. 0. 18.313 0. 58.705




















Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 148 148 225 0 0 0 4442 0 116
normalized size 1 1. 1.52 0. 0. 0. 30.01 0. 0.78
time (sec) N/A 0.296 0.738 0.085 0. 0. 57.215 0. 56.836




















Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 121 121 245 0 0 0 5090 0 97
normalized size 1 1. 2.02 0. 0. 0. 42.07 0. 0.8
time (sec) N/A 0.241 0.464 0.074 0. 0. 36.686 0. 44.932




















Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 119 119 198 0 0 0 4124 0 92
normalized size 1 1. 1.66 0. 0. 0. 34.66 0. 0.77
time (sec) N/A 0.236 0.427 0.065 0. 0. 23.279 0. 44.708




















Problem 270 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 90 90 147 0 0 0 427 0 73
normalized size 1 1. 1.63 0. 0. 0. 4.74 0. 0.81
time (sec) N/A 0.166 0.145 0.059 0. 0. 15.096 0. 29.389




















Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 75 0 0 0 321 0 41
normalized size 1 1. 1.03 0. 0. 0. 4.4 0. 0.56
time (sec) N/A 0.081 0.046 0.063 0. 0. 13.389 0. 24.409




















Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 104 104 151 0 0 0 355 0 82
normalized size 1 1. 1.45 0. 0. 0. 3.41 0. 0.79
time (sec) N/A 0.186 0.146 0.065 0. 0. 14.841 0. 41.543




















Problem 273 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 106 106 167 0 0 0 450 0 82
normalized size 1 1. 1.58 0. 0. 0. 4.25 0. 0.77
time (sec) N/A 0.212 0.256 0.077 0. 0. 18.218 0. 33.471




















Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 108 108 219 0 0 0 498 0 87
normalized size 1 1. 2.03 0. 0. 0. 4.61 0. 0.81
time (sec) N/A 0.218 1.234 0.091 0. 0. 22.469 0. 35.484




















Problem 275 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 179 179 140 0 0 0 0 0 148
normalized size 1 1. 0.78 0. 0. 0. 0. 0. 0.83
time (sec) N/A 0.408 0.455 0.107 0. 0. 0. 0. 111.53




















Problem 276 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 184 184 140 0 0 0 0 0 172
normalized size 1 1. 0.76 0. 0. 0. 0. 0. 0.93
time (sec) N/A 0.431 0.425 0.116 0. 0. 0. 0. 87.252




















Problem 277 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 150 150 332 0 0 0 0 0 122
normalized size 1 1. 2.21 0. 0. 0. 0. 0. 0.81
time (sec) N/A 0.369 0.436 0.107 0. 0. 0. 0. 88.395




















Problem 278 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 156 156 177 0 0 0 0 0 146
normalized size 1 1. 1.13 0. 0. 0. 0. 0. 0.94
time (sec) N/A 0.383 0.196 0.079 0. 0. 0. 0. 73.442




















Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 102 0 0 0 0 0 75
normalized size 1 1. 0.89 0. 0. 0. 0. 0. 0.65
time (sec) N/A 0.154 0.088 0.088 0. 0. 0. 0. 48.432




















Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 75 0 0 0 0 0 66
normalized size 1 1. 1.03 0. 0. 0. 0. 0. 0.9
time (sec) N/A 0.082 0.053 0.075 0. 0. 0. 0. 26.723




















Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 128 128 201 0 0 0 0 0 102
normalized size 1 1. 1.57 0. 0. 0. 0. 0. 0.8
time (sec) N/A 0.275 0.223 0.095 0. 0. 0. 0. 60.831




















Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 137 137 195 0 0 0 0 0 134
normalized size 1 1. 1.42 0. 0. 0. 0. 0. 0.98
time (sec) N/A 0.34 0.476 0.08 0. 0. 0. 0. 68.737




















Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 143 143 283 0 0 0 0 0 133
normalized size 1 1. 1.98 0. 0. 0. 0. 0. 0.93
time (sec) N/A 0.356 1.185 0.089 0. 0. 0. 0. 58.894




















Problem 284 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 145 145 334 0 0 0 0 0 146
normalized size 1 1. 2.3 0. 0. 0. 0. 0. 1.01
time (sec) N/A 0.38 0.603 0.109 0. 0. 0. 0. 62.504




















Problem 285 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 145 145 389 0 0 0 0 0 138
normalized size 1 1. 2.68 0. 0. 0. 0. 0. 0.95
time (sec) N/A 0.366 1.004 0.125 0. 0. 0. 0. 64.33




















Problem 286 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 220 220 140 0 0 0 0 0 202
normalized size 1 1. 0.64 0. 0. 0. 0. 0. 0.92
time (sec) N/A 0.532 0.436 0.153 0. 0. 0. 0. 132.337




















Problem 287 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 194 194 140 0 0 0 0 0 182
normalized size 1 1. 0.72 0. 0. 0. 0. 0. 0.94
time (sec) N/A 0.492 0.445 0.118 0. 0. 0. 0. 109.922




















Problem 288 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 157 157 130 0 0 0 0 0 202
normalized size 1 1. 0.83 0. 0. 0. 0. 0. 1.29
time (sec) N/A 0.361 0.128 0.117 0. 0. 0. 0. 125.777




















Problem 289 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 118 118 102 0 0 0 0 0 114
normalized size 1 1. 0.86 0. 0. 0. 0. 0. 0.97
time (sec) N/A 0.151 0.092 0.111 0. 0. 0. 0. 60.684




















Problem 290 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 75 0 0 0 0 0 66
normalized size 1 1. 1.03 0. 0. 0. 0. 0. 0.9
time (sec) N/A 0.075 0.053 0.108 0. 0. 0. 0. 24.303




















Problem 291 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 175 175 196 0 0 0 0 0 163
normalized size 1 1. 1.12 0. 0. 0. 0. 0. 0.93
time (sec) N/A 0.359 0.474 0.072 0. 0. 0. 0. 75.934




















Problem 292 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 166 166 198 0 0 0 0 0 160
normalized size 1 1. 1.19 0. 0. 0. 0. 0. 0.96
time (sec) N/A 0.431 0.482 0.105 0. 0. 0. 0. 74.235




















Problem 293 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 173 173 341 0 0 0 0 0 185
normalized size 1 1. 1.97 0. 0. 0. 0. 0. 1.07
time (sec) N/A 0.486 1.588 0.128 0. 0. 0. 0. 82.997




















Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 179 179 393 0 0 0 0 0 196
normalized size 1 1. 2.2 0. 0. 0. 0. 0. 1.09
time (sec) N/A 0.517 0.75 0.137 0. 0. 0. 0. 72.26




















Problem 295 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 174 174 446 0 0 0 0 0 192
normalized size 1 1. 2.56 0. 0. 0. 0. 0. 1.1
time (sec) N/A 0.519 1.013 0.109 0. 0. 0. 0. 74.204




















Problem 296 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 265 265 140 0 0 0 0 0 257
normalized size 1 1. 0.53 0. 0. 0. 0. 0. 0.97
time (sec) N/A 0.743 0.47 0.184 0. 0. 0. 0. 143.648




















Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 211 211 140 0 0 0 0 0 206
normalized size 1 1. 0.66 0. 0. 0. 0. 0. 0.98
time (sec) N/A 0.678 0.458 0.163 0. 0. 0. 0. 141.427




















Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 163 163 130 0 0 0 0 0 202
normalized size 1 1. 0.8 0. 0. 0. 0. 0. 1.24
time (sec) N/A 0.397 0.129 0.151 0. 0. 0. 0. 102.308




















Problem 299 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 118 118 102 0 0 0 0 0 112
normalized size 1 1. 0.86 0. 0. 0. 0. 0. 0.95
time (sec) N/A 0.157 0.099 0.146 0. 0. 0. 0. 27.968




















Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 75 0 0 0 0 0 66
normalized size 1 1. 1.03 0. 0. 0. 0. 0. 0.9
time (sec) N/A 0.076 0.052 0.14 0. 0. 0. 0. 11.831




















Problem 301 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 204 204 199 0 0 0 0 0 187
normalized size 1 1. 0.98 0. 0. 0. 0. 0. 0.92
time (sec) N/A 0.463 0.499 0.071 0. 0. 0. 0. 48.252




















Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 207 207 195 0 0 0 0 0 216
normalized size 1 1. 0.94 0. 0. 0. 0. 0. 1.04
time (sec) N/A 0.528 0.534 0.108 0. 0. 0. 0. 73.686




















Problem 303 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 211 211 399 0 0 0 0 0 204
normalized size 1 1. 1.89 0. 0. 0. 0. 0. 0.97
time (sec) N/A 0.634 2.031 0.127 0. 0. 0. 0. 88.193




















Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 210 210 452 0 0 0 0 0 240
normalized size 1 1. 2.15 0. 0. 0. 0. 0. 1.14
time (sec) N/A 0.665 1.013 0.092 0. 0. 0. 0. 96.312




















Problem 305 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 216 216 505 0 0 0 0 0 238
normalized size 1 1. 2.34 0. 0. 0. 0. 0. 1.1
time (sec) N/A 0.696 1.422 0.104 0. 0. 0. 0. 87.492




















Problem 306 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 264 264 198 0 0 0 0 0 262
normalized size 1 1. 0.75 0. 0. 0. 0. 0. 0.99
time (sec) N/A 0.655 0.24 0.19 0. 0. 0. 0. 68.317




















Problem 307 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 206 206 173 0 0 0 192 0 194
normalized size 1 1. 0.84 0. 0. 0. 0.93 0. 0.94
time (sec) N/A 0.35 0.168 0.082 0. 0. 100.798 0. 50.277




















Problem 308 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 153 153 116 0 0 0 122 0 122
normalized size 1 1. 0.76 0. 0. 0. 0.8 0. 0.8
time (sec) N/A 0.167 0.109 0.083 0. 0. 52.719 0. 25.86




















Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 75 75 73 0 0 0 61 0 60
normalized size 1 1. 0.97 0. 0. 0. 0.81 0. 0.8
time (sec) N/A 0.053 0.041 0.099 0. 0. 15.295 0. 11.417




















Problem 310 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 163 163 168 0 0 0 337 0 126
normalized size 1 1. 1.03 0. 0. 0. 2.07 0. 0.77
time (sec) N/A 0.375 0.474 0.099 0. 0. 44.235 0. 43.5




















Problem 311 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 214 214 166 0 0 0 0 0 199
normalized size 1 1. 0.78 0. 0. 0. 0. 0. 0.93
time (sec) N/A 0.483 0.48 0.089 0. 0. 0. 0. 83.472




















Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 275 275 166 0 0 0 0 0 267
normalized size 1 1. 0.6 0. 0. 0. 0. 0. 0.97
time (sec) N/A 0.81 0.529 0.088 0. 0. 0. 0. 108.302




















Problem 313 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 89 89 145 0 0 0 308 0 63
normalized size 1 1. 1.63 0. 0. 0. 3.46 0. 0.71
time (sec) N/A 0.212 0.277 0.405 0. 0. 42.96 0. 21.66




















Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 96 96 175 0 0 0 0 0 78
normalized size 1 1. 1.82 0. 0. 0. 0. 0. 0.81
time (sec) N/A 0.218 0.577 0.224 0. 0. 0. 0. 36.067




















Problem 315 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 214 214 60 240 0 711 68 0 323
normalized size 1 1. 0.28 1.12 0. 3.32 0.32 0. 1.51
time (sec) N/A 0.527 0.03 0.121 0. 0.304 11.302 0. 51.191




















Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 255 255 250 560 0 1 0 340 287
normalized size 1 1. 0.98 2.2 0. 0. 0. 1.33 1.13
time (sec) N/A 1.102 0.414 0.034 0. 8.804 0. 0.299 65.151




















Problem 317 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 211 211 219 515 0 1 0 271 240
normalized size 1 1. 1.04 2.44 0. 0. 0. 1.28 1.14
time (sec) N/A 0.739 0.483 0.014 0. 6.771 0. 0.305 54.558




















Problem 318 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 153 153 179 448 0 1 0 212 167
normalized size 1 1. 1.17 2.93 0. 0.01 0. 1.39 1.09
time (sec) N/A 0.443 0.185 0.014 0. 0.571 0. 0.278 44.1




















Problem 319 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 127 127 158 423 0 1 0 182 114
normalized size 1 1. 1.24 3.33 0. 0.01 0. 1.43 0.9
time (sec) N/A 0.285 0.173 0.009 0. 0.535 0. 0.276 34.475




















Problem 320 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 124 381 0 1 0 147 90
normalized size 1 1. 1.2 3.7 0. 0.01 0. 1.43 0.87
time (sec) N/A 0.187 0.065 0.006 0. 0.366 0. 0.275 26.059




















Problem 321 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 116 116 150 420 0 1 0 0 99
normalized size 1 1. 1.29 3.62 0. 0.01 0. 0. 0.85
time (sec) N/A 0.285 0.085 0.015 0. 1.03 0. 0. 28.421




















Problem 322 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 105 105 139 486 0 1 0 196 90
normalized size 1 1. 1.32 4.63 0. 0.01 0. 1.87 0.86
time (sec) N/A 0.411 0.079 0.017 0. 0.328 0. 0.275 49.429




















Problem 323 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 160 160 170 567 0 1 0 311 141
normalized size 1 1. 1.06 3.54 0. 0.01 0. 1.94 0.88
time (sec) N/A 0.505 0.264 0.017 0. 0.342 0. 0.28 57.765




















Problem 324 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 191 191 216 600 0 1 0 417 170
normalized size 1 1. 1.13 3.14 0. 0.01 0. 2.18 0.89
time (sec) N/A 0.549 0.283 0.017 0. 0.342 0. 0.298 62.951




















Problem 325 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 274 274 248 703 0 1 0 805 243
normalized size 1 1. 0.91 2.57 0. 0. 0. 2.94 0.89
time (sec) N/A 0.702 0.645 0.02 0. 0.419 0. 0.288 73.7




















Problem 326 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 195 195 178 260 0 1 0 220 189
normalized size 1 1. 0.91 1.33 0. 0.01 0. 1.13 0.97
time (sec) N/A 0.833 0.798 0.021 0. 2.921 0. 0.278 38.403




















Problem 327 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 152 152 155 217 0 1 0 174 146
normalized size 1 1. 1.02 1.43 0. 0.01 0. 1.14 0.96
time (sec) N/A 0.503 0.403 0.013 0. 2.992 0. 0.282 28.27




















Problem 328 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 109 109 133 172 0 1 0 142 95
normalized size 1 1. 1.22 1.58 0. 0.01 0. 1.3 0.87
time (sec) N/A 0.269 0.158 0.013 0. 0.402 0. 0.276 21.915




















Problem 329 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 86 111 151 0 1 0 119 75
normalized size 1 1. 1.29 1.76 0. 0.01 0. 1.38 0.87
time (sec) N/A 0.126 0.101 0.009 0. 0.35 0. 0.277 15.974




















Problem 330 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 62 127 0 1 0 80 48
normalized size 1 1. 1.15 2.35 0. 0.02 0. 1.48 0.89
time (sec) N/A 0.045 0.038 0.007 0. 0.299 0. 0.271 8.779




















Problem 331 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 86 118 158 0 1 0 0 73
normalized size 1 1. 1.37 1.84 0. 0.01 0. 0. 0.85
time (sec) N/A 0.216 0.128 0.014 0. 0.314 0. 0. 21.133




















Problem 332 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 111 111 144 180 0 1 0 192 95
normalized size 1 1. 1.3 1.62 0. 0.01 0. 1.73 0.86
time (sec) N/A 0.26 0.171 0.017 0. 0.337 0. 0.28 25.392




















Problem 333 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 168 168 177 236 0 1 0 323 146
normalized size 1 1. 1.05 1.4 0. 0.01 0. 1.92 0.87
time (sec) N/A 0.356 0.405 0.021 0. 0.358 0. 0.286 32.529




















Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 146 146 173 396 0 1 0 404 209
normalized size 1 1. 1.18 2.71 0. 0.01 0. 2.77 1.43
time (sec) N/A 0.57 0.504 0.024 0. 5.067 0. 0.282 54.972




















Problem 335 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 123 123 157 354 0 1 0 296 167
normalized size 1 1. 1.28 2.88 0. 0.01 0. 2.41 1.36
time (sec) N/A 0.329 0.441 0.012 0. 4.938 0. 0.281 44.645




















Problem 336 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 121 311 0 1 0 235 121
normalized size 1 1. 1.27 3.27 0. 0.01 0. 2.47 1.27
time (sec) N/A 0.18 0.249 0.014 0. 0.336 0. 0.272 36.388




















Problem 337 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 88 88 113 283 0 1 0 219 75
normalized size 1 1. 1.28 3.22 0. 0.01 0. 2.49 0.85
time (sec) N/A 0.142 0.209 0.018 0. 0.341 0. 0.275 23.86




















Problem 338 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 94 94 119 260 0 1 0 232 80
normalized size 1 1. 1.27 2.77 0. 0.01 0. 2.47 0.85
time (sec) N/A 0.106 0.189 0.01 0. 0.335 0. 0.3 19.674




















Problem 339 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 147 147 167 318 0 1 0 0 124
normalized size 1 1. 1.14 2.16 0. 0.01 0. 0. 0.84
time (sec) N/A 0.325 0.461 0.016 0. 0.543 0. 0. 39.331




















Problem 340 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 194 194 188 363 0 1 0 0 172
normalized size 1 1. 0.97 1.87 0. 0.01 0. 0. 0.89
time (sec) N/A 0.401 0.59 0.017 0. 0.535 0. 0. 46.805




















Problem 341 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 275 275 226 439 0 1 0 0 250
normalized size 1 1. 0.82 1.6 0. 0. 0. 0. 0.91
time (sec) N/A 0.54 0.874 0.019 0. 0.887 0. 0. 57.685




















Problem 342 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 244 244 230 474 0 1 0 0 282
normalized size 1 1. 0.94 1.94 0. 0. 0. 0. 1.16
time (sec) N/A 1.486 0.774 0.025 0. 48.969 0. 0. 56.738




















Problem 343 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 204 204 208 435 0 1 0 0 243
normalized size 1 1. 1.02 2.13 0. 0. 0. 0. 1.19
time (sec) N/A 0.906 0.636 0.018 0. 66.849 0. 0. 44.761




















Problem 344 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 160 160 184 386 0 1 0 0 189
normalized size 1 1. 1.15 2.41 0. 0.01 0. 0. 1.18
time (sec) N/A 0.595 0.471 0.016 0. 6.605 0. 0. 38.546




















Problem 345 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 137 172 368 0 1 0 0 167
normalized size 1 1. 1.26 2.69 0. 0.01 0. 0. 1.22
time (sec) N/A 0.349 0.608 0.015 0. 7.647 0. 0. 33.805




















Problem 346 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 90 90 114 340 0 1 0 0 76
normalized size 1 1. 1.27 3.78 0. 0.01 0. 0. 0.84
time (sec) N/A 0.118 0.123 0.012 0. 0.322 0. 0. 14.339




















Problem 347 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 91 91 115 210 0 1 0 439 78
normalized size 1 1. 1.26 2.31 0. 0.01 0. 4.82 0.86
time (sec) N/A 0.089 0.113 0.007 0. 0.318 0. 1.44 13.804




















Problem 348 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 179 179 178 364 0 1 0 0 158
normalized size 1 1. 0.99 2.03 0. 0.01 0. 0. 0.88
time (sec) N/A 0.345 0.4 0.016 0. 0.622 0. 0. 33.46




















Problem 349 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 212 212 197 395 0 1 0 0 187
normalized size 1 1. 0.93 1.86 0. 0. 0. 0. 0.88
time (sec) N/A 0.412 0.563 0.016 0. 0.59 0. 0. 41.116




















Problem 350 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 268 268 229 452 0 1 0 0 243
normalized size 1 1. 0.85 1.69 0. 0. 0. 0. 0.91
time (sec) N/A 0.522 0.779 0.019 0. 1.105 0. 0. 49.438




















Problem 351 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 135 135 158 328 284 497 4078 926 122
normalized size 1 1. 1.17 2.43 2.1 3.68 30.21 6.86 0.9
time (sec) N/A 0.176 0.135 0.01 0.71 0.281 12.81 0.297 31.664




















Problem 352 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 102 102 109 195 197 338 2241 610 90
normalized size 1 1. 1.07 1.91 1.93 3.31 21.97 5.98 0.88
time (sec) N/A 0.118 0.114 0.008 0.713 0.279 7.682 0.28 23.191




















Problem 353 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 70 70 65 100 0 200 978 355 61
normalized size 1 1. 0.93 1.43 0. 2.86 13.97 5.07 0.87
time (sec) N/A 0.068 0.062 0.006 0. 0.279 4.313 0.265 16.149




















Problem 354 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 98 0 0 0 347 0 61
normalized size 1 1. 1.27 0. 0. 0. 4.51 0. 0.79
time (sec) N/A 0.121 0.292 0.058 0. 0. 9.021 0. 14.27




















Problem 355 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 232 232 378 1000 603 1386 14300 1 218
normalized size 1 1. 1.63 4.31 2.6 5.97 61.64 0. 0.94
time (sec) N/A 0.301 0.384 0.017 0.724 0.285 39.925 0.275 61.937




















Problem 356 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 185 185 279 677 452 1022 9083 1 170
normalized size 1 1. 1.51 3.66 2.44 5.52 49.1 0.01 0.92
time (sec) N/A 0.231 0.288 0.015 0.723 0.283 25.674 0.294 47.599




















Problem 357 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 140 140 184 420 0 701 5044 1260 128
normalized size 1 1. 1.31 3. 0. 5.01 36.03 9. 0.91
time (sec) N/A 0.15 0.16 0.013 0. 0.282 15.762 0.301 35.876




















Problem 358 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 148 148 259 0 0 0 1681 0 129
normalized size 1 1. 1.75 0. 0. 0. 11.36 0. 0.87
time (sec) N/A 0.179 0.539 0.051 0. 0. 15.558 0. 32.373




















Problem 359 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 343 343 746 2232 1073 2923 0 1 328
normalized size 1 1. 2.17 6.51 3.13 8.52 0. 0. 0.96
time (sec) N/A 0.431 1.199 0.024 0.726 0.294 0. 0.308 97.512




















Problem 360 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 282 282 578 1639 844 2261 0 1 265
normalized size 1 1. 2.05 5.81 2.99 8.02 0. 0. 0.94
time (sec) N/A 0.369 0.829 0.019 0.715 0.294 0. 0.28 77.004




















Problem 361 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 223 223 413 1140 0 1679 0 1 207
normalized size 1 1. 1.85 5.11 0. 7.53 0. 0. 0.93
time (sec) N/A 0.264 0.409 0.016 0. 0.286 0. 0.269 60.525




















Problem 362 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 246 246 546 0 0 0 5702 0 226
normalized size 1 1. 2.22 0. 0. 0. 23.18 0. 0.92
time (sec) N/A 0.287 0.906 0.044 0. 0. 33.966 0. 61.343




















Problem 363 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 250 250 354 0 0 0 0 0 204
normalized size 1 1. 1.42 0. 0. 0. 0. 0. 0.82
time (sec) N/A 0.696 0.916 0.091 0. 0. 0. 0. 89.963




















Problem 364 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 209 209 275 0 0 0 0 0 167
normalized size 1 1. 1.32 0. 0. 0. 0. 0. 0.8
time (sec) N/A 0.409 1.114 0.079 0. 0. 0. 0. 59.841




















Problem 365 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 194 194 233 0 0 0 0 0 150
normalized size 1 1. 1.2 0. 0. 0. 0. 0. 0.77
time (sec) N/A 0.47 0.443 0.073 0. 0. 0. 0. 77.38




















Problem 366 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 163 163 200 0 0 0 0 0 129
normalized size 1 1. 1.23 0. 0. 0. 0. 0. 0.79
time (sec) N/A 0.198 0.149 0.059 0. 0. 0. 0. 38.364




















Problem 367 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 167 167 210 0 0 0 0 0 131
normalized size 1 1. 1.26 0. 0. 0. 0. 0. 0.78
time (sec) N/A 0.237 0.123 0.06 0. 0. 0. 0. 42.593




















Problem 368 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 207 207 239 0 0 0 0 0 158
normalized size 1 1. 1.15 0. 0. 0. 0. 0. 0.76
time (sec) N/A 0.379 0.482 0.053 0. 0. 0. 0. 55.566




















Problem 369 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 207 207 263 0 0 0 0 0 165
normalized size 1 1. 1.27 0. 0. 0. 0. 0. 0.8
time (sec) N/A 0.468 0.585 0.081 0. 0. 0. 0. 72.926




















Problem 370 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 332 332 0 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.797 0.167 0.091 0. 0. 0. 0. 0.




















Problem 371 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 297 297 0 0 0 0 0 0 354
normalized size 1 1. 0. 0. 0. 0. 0. 0. 1.19
time (sec) N/A 0.77 0.141 0.087 0. 0. 0. 0. 165.105




















Problem 372 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 306 306 0 0 0 0 0 0 382
normalized size 1 1. 0. 0. 0. 0. 0. 0. 1.25
time (sec) N/A 1.059 0.128 0.082 0. 0. 0. 0. 161.51




















Problem 373 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 279 279 0 0 0 0 0 0 224
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.8
time (sec) N/A 0.664 0.097 0.08 0. 0. 0. 0. 104.559




















Problem 374 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 304 304 0 0 0 0 0 0 246
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.81
time (sec) N/A 0.838 0.049 0.078 0. 0. 0. 0. 91.36




















Problem 375 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 489 489 0 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 1.25 0.098 0.068 0. 0. 0. 0. 0.




















Problem 376 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 513 513 0 0 0 0 0 0 422
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.82
time (sec) N/A 1.503 0.121 0.106 0. 0. 0. 0. 175.627




















Problem 377 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 399 377 128 0 0 0 0 0 289
normalized size 1 0.94 0.32 0. 0. 0. 0. 0. 0.72
time (sec) N/A 1.452 0.231 0.111 0. 0. 0. 0. 88.001




















Problem 378 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 164 150 84 0 0 0 0 0 156
normalized size 1 0.91 0.51 0. 0. 0. 0. 0. 0.95
time (sec) N/A 0.303 0.099 0.072 0. 0. 0. 0. 41.398




















Problem 379 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 148 148 0 0 0 0 0 0 112
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.76
time (sec) N/A 0.412 0.085 0.078 0. 0. 0. 0. 61.068




















Problem 380 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 295 295 0 0 0 0 0 0 233
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.79
time (sec) N/A 0.962 0.109 0.084 0. 0. 0. 0. 152.239




















Problem 381 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 125 125 183 0 0 0 1012 0 104
normalized size 1 1. 1.46 0. 0. 0. 8.1 0. 0.83
time (sec) N/A 0.2 0.241 0.077 0. 0. 117.074 0. 28.917




















Problem 382 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 125 125 183 0 0 0 1012 0 104
normalized size 1 1. 1.46 0. 0. 0. 8.1 0. 0.83
time (sec) N/A 0.196 0.204 0.079 0. 0. 83.123 0. 28.769




















Problem 383 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 100 100 141 0 0 0 394 0 82
normalized size 1 1. 1.41 0. 0. 0. 3.94 0. 0.82
time (sec) N/A 0.152 0.149 0.06 0. 0. 62.189 0. 20.886




















Problem 384 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 100 100 141 0 0 0 394 0 82
normalized size 1 1. 1.41 0. 0. 0. 3.94 0. 0.82
time (sec) N/A 0.148 0.133 0.053 0. 0. 42.36 0. 21.473




















Problem 385 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F(-2) F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 75 75 102 0 0 0 65 0 58
normalized size 1 1. 1.36 0. 0. 0. 0.87 0. 0.77
time (sec) N/A 0.086 0.089 0.047 0. 0. 32.282 0. 12.234




















Problem 386 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 70 70 98 0 0 0 61 0 54
normalized size 1 1. 1.4 0. 0. 0. 0.87 0. 0.77
time (sec) N/A 0.049 0.075 0.046 0. 0. 20.749 0. 8.764




















Problem 387 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 88 88 91 0 0 0 65 0 68
normalized size 1 1. 1.03 0. 0. 0. 0.74 0. 0.77
time (sec) N/A 0.106 0.074 0.038 0. 0. 31.237 0. 13.219




















Problem 388 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 91 91 93 0 0 0 68 0 71
normalized size 1 1. 1.02 0. 0. 0. 0.75 0. 0.78
time (sec) N/A 0.121 0.068 0.044 0. 0. 42.522 0. 15.142




















Problem 389 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 92 92 98 0 0 0 71 0 73
normalized size 1 1. 1.07 0. 0. 0. 0.77 0. 0.79
time (sec) N/A 0.125 0.096 0.056 0. 0. 62.284 0. 15.593




















Problem 390 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 188 188 303 0 0 0 3046 0 212
normalized size 1 1. 1.61 0. 0. 0. 16.2 0. 1.13
time (sec) N/A 0.353 0.478 0.096 0. 0. 170.363 0. 62.96




















Problem 391 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 177 169 229 0 0 0 1047 0 151
normalized size 1 0.95 1.29 0. 0. 0. 5.92 0. 0.85
time (sec) N/A 0.324 0.291 0.085 0. 0. 151.911 0. 45.133




















Problem 392 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 149 149 241 0 0 0 1386 0 158
normalized size 1 1. 1.62 0. 0. 0. 9.3 0. 1.06
time (sec) N/A 0.288 0.301 0.075 0. 0. 93.305 0. 45.412




















Problem 393 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 152 144 182 0 0 0 430 0 126
normalized size 1 0.95 1.2 0. 0. 0. 2.83 0. 0.83
time (sec) N/A 0.279 0.261 0.067 0. 0. 81.628 0. 34.362




















Problem 394 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F(-2) F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 113 113 184 0 0 0 439 0 126
normalized size 1 1. 1.63 0. 0. 0. 3.88 0. 1.12
time (sec) N/A 0.19 0.274 0.06 0. 0. 45.521 0. 27.323




















Problem 395 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 133 125 133 0 0 0 97 0 107
normalized size 1 0.94 1. 0. 0. 0. 0.73 0. 0.8
time (sec) N/A 0.172 0.154 0.055 0. 0. 40.854 0. 28.055




















Problem 396 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 118 118 130 0 0 0 109 0 94
normalized size 1 1. 1.1 0. 0. 0. 0.92 0. 0.8
time (sec) N/A 0.181 0.563 0.059 0. 0. 37.749 0. 19.987




















Problem 397 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 127 127 131 0 0 0 95 0 110
normalized size 1 1. 1.03 0. 0. 0. 0.75 0. 0.87
time (sec) N/A 0.229 0.187 0.058 0. 0. 57.633 0. 24.922




















Problem 398 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 127 127 138 0 0 0 119 0 112
normalized size 1 1. 1.09 0. 0. 0. 0.94 0. 0.88
time (sec) N/A 0.239 0.275 0.142 0. 0. 74.213 0. 25.648




















Problem 399 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 247 241 356 0 0 0 0 0 267
normalized size 1 0.98 1.44 0. 0. 0. 0. 0. 1.08
time (sec) N/A 0.503 0.702 0.096 0. 0. 0. 0. 78.585




















Problem 400 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 249 241 357 0 0 0 0 0 267
normalized size 1 0.97 1.43 0. 0. 0. 0. 0. 1.07
time (sec) N/A 0.502 0.698 0.101 0. 0. 0. 0. 75.331




















Problem 401 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 207 201 289 0 0 0 1421 0 212
normalized size 1 0.97 1.4 0. 0. 0. 6.86 0. 1.02
time (sec) N/A 0.419 0.487 0.095 0. 0. 162.661 0. 58.335




















Problem 402 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 210 202 291 0 0 0 1421 0 209
normalized size 1 0.96 1.39 0. 0. 0. 6.77 0. 1.
time (sec) N/A 0.421 0.474 0.082 0. 0. 114.196 0. 55.472




















Problem 403 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F(-2) F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 167 159 228 0 0 0 471 0 212
normalized size 1 0.95 1.37 0. 0. 0. 2.82 0. 1.27
time (sec) N/A 0.325 0.368 0.074 0. 0. 85.644 0. 64.947




















Problem 404 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 176 169 223 0 0 0 468 0 160
normalized size 1 0.96 1.27 0. 0. 0. 2.66 0. 0.91
time (sec) N/A 0.331 0.353 0.064 0. 0. 55.654 0. 45.189




















Problem 405 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 171 165 175 0 0 0 144 0 141
normalized size 1 0.96 1.02 0. 0. 0. 0.84 0. 0.82
time (sec) N/A 0.271 0.838 0.055 0. 0. 63.791 0. 29.722




















Problem 406 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 159 159 174 0 0 0 143 0 139
normalized size 1 1. 1.09 0. 0. 0. 0.9 0. 0.87
time (sec) N/A 0.326 0.956 0.087 0. 0. 69.643 0. 29.524




















Problem 407 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 168 168 176 0 0 0 150 0 156
normalized size 1 1. 1.05 0. 0. 0. 0.89 0. 0.93
time (sec) N/A 0.382 0.663 0.063 0. 0. 94.446 0. 33.104




















Problem 408 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 199 199 0 0 0 0 0 0 277
normalized size 1 1. 0. 0. 0. 0. 0. 0. 1.39
time (sec) N/A 0.496 0.97 0.082 0. 0. 0. 0. 62.353




















Problem 409 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 163 163 260 0 0 0 0 0 230
normalized size 1 1. 1.6 0. 0. 0. 0. 0. 1.41
time (sec) N/A 0.371 0.532 0.095 0. 0. 0. 0. 46.638




















Problem 410 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 161 161 227 0 0 0 0 0 184
normalized size 1 1. 1.41 0. 0. 0. 0. 0. 1.14
time (sec) N/A 0.366 0.397 0.076 0. 0. 0. 0. 37.051




















Problem 411 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 173 173 172 0 0 0 0 0 160
normalized size 1 1. 0.99 0. 0. 0. 0. 0. 0.92
time (sec) N/A 0.318 0.35 0.131 0. 0. 0. 0. 28.529




















Problem 412 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 125 125 131 0 0 0 0 0 119
normalized size 1 1. 1.05 0. 0. 0. 0. 0. 0.95
time (sec) N/A 0.225 0.103 0.057 0. 0. 0. 0. 17.595




















Problem 413 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 176 176 170 0 0 0 0 0 153
normalized size 1 1. 0.97 0. 0. 0. 0. 0. 0.87
time (sec) N/A 0.346 0.378 0.06 0. 0. 0. 0. 32.932




















Problem 414 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 178 178 214 0 0 0 0 0 197
normalized size 1 1. 1.2 0. 0. 0. 0. 0. 1.11
time (sec) N/A 0.413 1.016 0.152 0. 0. 0. 0. 42.883




















Problem 415 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 213 213 256 0 0 0 0 0 240
normalized size 1 1. 1.2 0. 0. 0. 0. 0. 1.13
time (sec) N/A 0.583 0.52 0.092 0. 0. 0. 0. 51.658




















Problem 416 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 392 392 0 0 0 0 0 0 381
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.97
time (sec) N/A 1.544 1.059 0.1 0. 0. 0. 0. 75.046




















Problem 417 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 321 321 343 0 0 0 0 0 338
normalized size 1 1. 1.07 0. 0. 0. 0. 0. 1.05
time (sec) N/A 1. 1.477 0.088 0. 0. 0. 0. 64.721




















Problem 418 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 281 277 300 0 0 0 0 0 309
normalized size 1 0.99 1.07 0. 0. 0. 0. 0. 1.1
time (sec) N/A 0.656 0.542 0.086 0. 0. 0. 0. 59.098




















Problem 419 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 273 273 223 0 0 0 0 0 230
normalized size 1 1. 0.82 0. 0. 0. 0. 0. 0.84
time (sec) N/A 0.509 0.23 0.077 0. 0. 0. 0. 48.739




















Problem 420 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A NO NO TBD TBD TBD TBD TBD TBD
size 244 191 141 0 0 0 0 0 144
normalized size 1 0.78 0.58 0. 0. 0. 0. 0. 0.59
time (sec) N/A 0.412 0.131 0.069 0. 0. 0. 0. 18.23




















Problem 421 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 368 368 303 0 0 0 0 0 299
normalized size 1 1. 0.82 0. 0. 0. 0. 0. 0.81
time (sec) N/A 0.901 0.761 0.067 0. 0. 0. 0. 55.097




















Problem 422 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 421 421 0 0 0 0 0 0 343
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.81
time (sec) N/A 0.968 0.098 0.091 0. 0. 0. 0. 68.196




















Problem 423 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 449 449 0 0 0 0 0 0 488
normalized size 1 1. 0. 0. 0. 0. 0. 0. 1.09
time (sec) N/A 1.631 1.374 0.116 0. 0. 0. 0. 91.257




















Problem 424 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 416 416 0 0 0 0 0 0 464
normalized size 1 1. 0. 0. 0. 0. 0. 0. 1.12
time (sec) N/A 1.082 1.069 0.117 0. 0. 0. 0. 86.089




















Problem 425 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 396 396 290 0 0 0 0 0 420
normalized size 1 1. 0.73 0. 0. 0. 0. 0. 1.06
time (sec) N/A 1.1 0.392 0.106 0. 0. 0. 0. 73.939




















Problem 426 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 336 336 229 0 0 0 0 0 292
normalized size 1 1. 0.68 0. 0. 0. 0. 0. 0.87
time (sec) N/A 0.833 0.291 0.1 0. 0. 0. 0. 87.011




















Problem 427 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 322 322 142 0 0 0 0 0 144
normalized size 1 1. 0.44 0. 0. 0. 0. 0. 0.45
time (sec) N/A 0.724 0.181 0.087 0. 0. 0. 0. 18.418




















Problem 428 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 700 700 0 0 0 0 0 0 445
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.64
time (sec) N/A 1.759 0.069 0.084 0. 0. 0. 0. 77.761




















Problem 429 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 754 754 0 0 0 0 0 0 500
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.66
time (sec) N/A 1.827 0.156 0.14 0. 0. 0. 0. 96.075




















Problem 430 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 276 254 186 0 0 0 0 0 233
normalized size 1 0.92 0.67 0. 0. 0. 0. 0. 0.84
time (sec) N/A 0.851 0.253 0.086 0. 0. 0. 0. 65.769




















Problem 431 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 205 194 162 0 0 0 0 0 167
normalized size 1 0.95 0.79 0. 0. 0. 0. 0. 0.81
time (sec) N/A 0.401 0.168 0.079 0. 0. 0. 0. 35.394




















Problem 432 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 135 135 106 0 0 0 0 0 105
normalized size 1 1. 0.79 0. 0. 0. 0. 0. 0.78
time (sec) N/A 0.151 0.1 0.067 0. 0. 0. 0. 20.831




















Problem 433 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 66 66 64 0 0 0 54 0 51
normalized size 1 1. 0.97 0. 0. 0. 0.82 0. 0.77
time (sec) N/A 0.048 0.036 0.08 0. 0. 107.458 0. 8.981




















Problem 434 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 157 157 0 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.364 0.094 0.076 0. 0. 0. 0. 0.




















Problem 435 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 238 238 0 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.655 0.11 0.081 0. 0. 0. 0. 0.




















Problem 436 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 321 321 0 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.876 0.268 0.098 0. 0. 0. 0. 0.




















Problem 437 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 345 345 276 946 0 1 0 0 348
normalized size 1 1. 0.8 2.74 0. 0. 0. 0. 1.01
time (sec) N/A 1.352 0.498 0.031 0. 0.375 0. 0. 144.696




















Problem 438 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 251 251 207 713 0 1 0 0 245
normalized size 1 1. 0.82 2.84 0. 0. 0. 0. 0.98
time (sec) N/A 0.83 0.366 0.019 0. 0.333 0. 0. 85.915




















Problem 439 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 207 207 159 516 0 1 0 0 189
normalized size 1 1. 0.77 2.49 0. 0. 0. 0. 0.91
time (sec) N/A 0.485 0.382 0.013 0. 0.308 0. 0. 44.345




















Problem 440 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 131 131 133 205 0 1 0 0 122
normalized size 1 1. 1.02 1.56 0. 0.01 0. 0. 0.93
time (sec) N/A 0.165 0.25 0.008 0. 0.296 0. 0. 27.027




















Problem 441 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 168 168 185 439 0 1 0 4 162
normalized size 1 1. 1.1 2.61 0. 0.01 0. 0.02 0.96
time (sec) N/A 0.554 0.226 0.017 0. 0.499 0. 2.255 49.885




















Problem 442 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 137 187 594 0 1 0 0 124
normalized size 1 1. 1.36 4.34 0. 0.01 0. 0. 0.91
time (sec) N/A 0.516 0.302 0.018 0. 0.337 0. 0. 41.423




















Problem 443 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 202 202 238 882 0 1 0 1 185
normalized size 1 1. 1.18 4.37 0. 0. 0. 0. 0.92
time (sec) N/A 0.833 0.418 0.022 0. 0.403 0. 0.525 80.796




















Problem 444 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 286 286 299 1165 0 1 0 1 270
normalized size 1 1. 1.05 4.07 0. 0. 0. 0. 0.94
time (sec) N/A 1.183 0.574 0.024 0. 0.811 0. 1.178 147.703




















Problem 445 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 389 389 378 1494 0 1 0 1 0
normalized size 1 1. 0.97 3.84 0. 0. 0. 0. 0.
time (sec) N/A 1.643 0.826 0.033 0. 1.995 0. 3.42 0.




















Problem 446 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F(-2) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 449 449 422 1883 0 1 0 0 0
normalized size 1 1. 0.94 4.19 0. 0. 0. 0. 0.
time (sec) N/A 1.525 0.805 0.034 0. 0.39 0. 0. 0.




















Problem 447 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 352 352 320 1560 0 1 0 0 354
normalized size 1 1. 0.91 4.43 0. 0. 0. 0. 1.01
time (sec) N/A 0.959 0.589 0.022 0. 0.33 0. 0. 109.759




















Problem 448 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 295 295 240 1279 0 1 0 0 275
normalized size 1 1. 0.81 4.34 0. 0. 0. 0. 0.93
time (sec) N/A 0.656 0.462 0.016 0. 0.323 0. 0. 60.847




















Problem 449 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 201 201 178 566 0 1 0 0 187
normalized size 1 1. 0.89 2.82 0. 0. 0. 0. 0.93
time (sec) N/A 0.264 0.309 0.009 0. 0.303 0. 0. 39.137




















Problem 450 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 251 251 285 1130 0 1 0 4 245
normalized size 1 1. 1.14 4.5 0. 0. 0. 0.02 0.98
time (sec) N/A 0.86 0.681 0.02 0. 4.755 0. 0.711 104.539




















Problem 451 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 240 240 356 1310 0 1 0 0 228
normalized size 1 1. 1.48 5.46 0. 0. 0. 0. 0.95
time (sec) N/A 0.857 0.561 0.023 0. 1.704 0. 0. 83.914




















Problem 452 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 256 256 310 1604 0 1 0 0 246
normalized size 1 1. 1.21 6.27 0. 0. 0. 0. 0.96
time (sec) N/A 0.875 0.633 0.025 0. 2.001 0. 0. 105.661




















Problem 453 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 211 211 251 1945 0 1 0 1 194
normalized size 1 1. 1.19 9.22 0. 0. 0. 0. 0.92
time (sec) N/A 0.709 0.362 0.029 0. 1.261 0. 2.141 61.181




















Problem 454 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 295 295 323 2427 0 1 0 0 274
normalized size 1 1. 1.09 8.23 0. 0. 0. 0. 0.93
time (sec) N/A 1.074 0.469 0.036 0. 1.937 0. 0. 106.171




















Problem 455 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) F(-2) F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 395 395 407 2888 0 0 0 1 0
normalized size 1 1. 1.03 7.31 0. 0. 0. 0. 0.
time (sec) N/A 1.396 0.593 0.043 0. 0. 0. 17.961 0.




















Problem 456 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) F(-2) F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 498 498 506 3387 0 0 0 1 0
normalized size 1 1. 1.02 6.8 0. 0. 0. 0. 0.
time (sec) N/A 1.888 0.872 0.058 0. 0. 0. 50.919 0.




















Problem 457 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F(-2) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 574 574 579 3178 0 1 0 0 0
normalized size 1 1. 1.01 5.54 0. 0. 0. 0. 0.
time (sec) N/A 1.742 1.629 0.034 0. 0.426 0. 0. 0.




















Problem 458 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 452 452 478 2731 0 1 0 0 454
normalized size 1 1. 1.06 6.04 0. 0. 0. 0. 1.
time (sec) N/A 1.125 1.115 0.024 0. 0.386 0. 0. 139.745




















Problem 459 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 381 381 386 2411 0 1 0 0 360
normalized size 1 1. 1.01 6.33 0. 0. 0. 0. 0.94
time (sec) N/A 0.852 0.922 0.017 0. 0.356 0. 0. 86.287




















Problem 460 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 274 274 309 1123 0 1 0 0 262
normalized size 1 1. 1.13 4.1 0. 0. 0. 0. 0.96
time (sec) N/A 0.377 0.704 0.011 0. 0.321 0. 0. 59.811




















Problem 461 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 394 394 397 2180 0 1 0 4 0
normalized size 1 1. 1.01 5.53 0. 0. 0. 0.01 0.
time (sec) N/A 1.275 1.446 0.024 0. 48.265 0. 0.736 0.




















Problem 462 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 352 352 376 2364 0 1 0 0 345
normalized size 1 1. 1.07 6.72 0. 0. 0. 0. 0.98
time (sec) N/A 1.224 1.175 0.025 0. 18.817 0. 0. 144.324




















Problem 463 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 339 339 361 2688 0 1 0 0 338
normalized size 1 1. 1.06 7.93 0. 0. 0. 0. 1.
time (sec) N/A 1.15 0.97 0.029 0. 7.655 0. 0. 127.867




















Problem 464 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F(-2) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 371 371 399 3144 0 1 0 0 0
normalized size 1 1. 1.08 8.47 0. 0. 0. 0. 0.
time (sec) N/A 1.295 1.116 0.034 0. 9.086 0. 0. 0.




















Problem 465 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F(-2) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 404 404 454 3646 0 1 0 0 0
normalized size 1 1. 1.12 9.02 0. 0. 0. 0. 0.
time (sec) N/A 1.312 1.352 0.043 0. 18.422 0. 0. 0.




















Problem 466 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 289 289 354 3991 0 0 0 1 272
normalized size 1 1. 1.22 13.81 0. 0. 0. 0. 0.94
time (sec) N/A 0.914 0.787 0.057 0. 0. 0. 29.534 91.441




















Problem 467 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 386 386 450 4735 0 0 0 1 362
normalized size 1 1. 1.17 12.27 0. 0. 0. 0. 0.94
time (sec) N/A 1.316 0.898 0.081 0. 0. 0. 77.519 141.543




















Problem 468 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) F(-2) F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 500 500 557 5353 0 0 0 1 0
normalized size 1 1. 1.11 10.71 0. 0. 0. 0. 0.
time (sec) N/A 1.683 1.238 0.107 0. 0. 0. 176.329 0.




















Problem 469 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) F(-2) F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 628 628 676 6030 0 0 0 0 0
normalized size 1 1. 1.08 9.6 0. 0. 0. 0. 0.
time (sec) N/A 2.249 1.403 0.154 0. 0. 0. 0. 0.




















Problem 470 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 271 298 211 391 0 1 0 0 461
normalized size 1 1.1 0.78 1.44 0. 0. 0. 0. 1.7
time (sec) N/A 0.999 0.455 0.028 0. 0.604 0. 0. 118.094




















Problem 471 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 195 195 178 241 0 1 0 0 262
normalized size 1 1. 0.91 1.24 0. 0.01 0. 0. 1.34
time (sec) N/A 0.683 0.328 0.017 0. 0.433 0. 0. 67.371




















Problem 472 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 139 139 145 131 0 1 0 0 129
normalized size 1 1. 1.04 0.94 0. 0.01 0. 0. 0.93
time (sec) N/A 0.305 0.338 0.014 0. 0.384 0. 0. 23.267




















Problem 473 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 52 52 42 51 0 80 0 0 46
normalized size 1 1. 0.81 0.98 0. 1.54 0. 0. 0.88
time (sec) N/A 0.077 0.057 0.01 0. 0.307 0. 0. 18.411




















Problem 474 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 143 143 200 136 0 1 0 0 133
normalized size 1 1. 1.4 0.95 0. 0.01 0. 0. 0.93
time (sec) N/A 0.574 0.359 0.018 0. 0.372 0. 0. 55.199




















Problem 475 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 229 229 276 253 0 1 0 0 207
normalized size 1 1. 1.21 1.1 0. 0. 0. 0. 0.9
time (sec) N/A 0.895 0.741 0.02 0. 0.433 0. 0. 105.608




















Problem 476 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F(-1) F(-2) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 329 329 279 414 0 1 0 0 0
normalized size 1 1. 0.85 1.26 0. 0. 0. 0. 0.
time (sec) N/A 1.428 0.638 0.024 0. 0.629 0. 0. 0.




















Problem 477 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 515 515 296 1680 0 1 0 0 0
normalized size 1 1. 0.57 3.26 0. 0. 0. 0. 0.
time (sec) N/A 1.661 1.083 0.035 0. 3.472 0. 0. 0.




















Problem 478 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 438 438 261 1266 0 1 0 0 0
normalized size 1 1. 0.6 2.89 0. 0. 0. 0. 0.
time (sec) N/A 1.462 1.16 0.018 0. 1.622 0. 0. 0.




















Problem 479 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 297 297 219 977 0 1 0 0 471
normalized size 1 1. 0.74 3.29 0. 0. 0. 0. 1.59
time (sec) N/A 0.898 0.597 0.017 0. 0.894 0. 0. 127.145




















Problem 480 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 126 126 99 145 0 416 0 0 122
normalized size 1 1. 0.79 1.15 0. 3.3 0. 0. 0.97
time (sec) N/A 0.356 0.207 0.013 0. 0.58 0. 0. 38.583




















Problem 481 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 138 138 100 149 0 424 0 0 128
normalized size 1 1. 0.72 1.08 0. 3.07 0. 0. 0.93
time (sec) N/A 0.286 0.159 0.015 0. 0.586 0. 0. 21.611




















Problem 482 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 121 121 95 138 0 413 0 0 116
normalized size 1 1. 0.79 1.14 0. 3.41 0. 0. 0.96
time (sec) N/A 0.123 0.14 0.013 0. 0.585 0. 0. 23.403




















Problem 483 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 271 271 254 682 0 1 0 0 260
normalized size 1 1. 0.94 2.52 0. 0. 0. 0. 0.96
time (sec) N/A 1.003 0.81 0.02 0. 0.722 0. 0. 138.43




















Problem 484 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 394 394 312 912 0 1 0 0 0
normalized size 1 1. 0.79 2.31 0. 0. 0. 0. 0.
time (sec) N/A 1.502 1.502 0.022 0. 1.43 0. 0. 0.




















Problem 485 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F(-1) F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 522 522 362 1319 0 1 0 0 0
normalized size 1 1. 0.69 2.53 0. 0. 0. 0. 0.
time (sec) N/A 2.039 1.939 0.025 0. 3.661 0. 0. 0.




















Problem 486 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F F(-1) F(-1) F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 664 664 429 1705 0 0 0 0 0
normalized size 1 1. 0.65 2.57 0. 0. 0. 0. 0.
time (sec) N/A 2.799 2.536 0.03 0. 0. 0. 0. 0.




















Problem 487 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 259 259 210 366 0 1107 0 0 252
normalized size 1 1. 0.81 1.41 0. 4.27 0. 0. 0.97
time (sec) N/A 0.67 1.273 0.019 0. 5.85 0. 0. 76.052




















Problem 488 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) F(-1) F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 341 341 317 663 0 0 0 0 340
normalized size 1 1. 0.93 1.94 0. 0. 0. 0. 1.
time (sec) N/A 0.766 2.433 0.025 0. 0. 0. 0. 94.537




















Problem 489 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 170 170 221 257 0 0 0 0 151
normalized size 1 1. 1.3 1.51 0. 0. 0. 0. 0.89
time (sec) N/A 0.158 1.434 0.225 0. 0. 0. 0. 12.489




















Problem 490 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 23 18 30 30 0 36 24
normalized size 1 1. 1. 0.78 1.3 1.3 0. 1.57 1.04
time (sec) N/A 0.017 0.028 0.006 0.776 0.281 0. 0.269 7.239




















Problem 491 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 294 294 347 361 0 0 0 0 262
normalized size 1 1. 1.18 1.23 0. 0. 0. 0. 0.89
time (sec) N/A 0.2 0.843 0.033 0. 0. 0. 0. 17.191




















Problem 492 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 144 144 169 252 0 0 0 0 128
normalized size 1 1. 1.17 1.75 0. 0. 0. 0. 0.89
time (sec) N/A 0.082 0.84 0.031 0. 0. 0. 0. 7.173




















Problem 493 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 66 66 197 43 0 81 0 0 58
normalized size 1 1. 2.98 0.65 0. 1.23 0. 0. 0.88
time (sec) N/A 0.089 0.626 0.031 0. 0.287 0. 0. 9.789




















Problem 494 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 287 287 349 363 0 0 0 0 250
normalized size 1 1. 1.22 1.26 0. 0. 0. 0. 0.87
time (sec) N/A 0.21 0.684 0.036 0. 0. 0. 0. 18.385




















Problem 495 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 146 146 185 259 0 0 0 0 126
normalized size 1 1. 1.27 1.77 0. 0. 0. 0. 0.86
time (sec) N/A 0.125 0.675 0.036 0. 0. 0. 0. 10.034




















Problem 496 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 201 201 235 262 0 0 0 0 180
normalized size 1 1. 1.17 1.3 0. 0. 0. 0. 0.9
time (sec) N/A 0.176 1.425 0.035 0. 0. 0. 0. 14.824




















Problem 497 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 23 18 36 36 0 100 26
normalized size 1 1. 1. 0.78 1.57 1.57 0. 4.35 1.13
time (sec) N/A 0.017 0.036 0.006 0.779 0.282 0. 0.294 7.316




















Problem 498 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 325 325 244 366 0 0 0 0 291
normalized size 1 1. 0.75 1.13 0. 0. 0. 0. 0.9
time (sec) N/A 0.23 0.833 0.034 0. 0. 0. 0. 19.782




















Problem 499 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 173 173 176 257 0 0 0 0 155
normalized size 1 1. 1.02 1.49 0. 0. 0. 0. 0.9
time (sec) N/A 0.102 1.079 0.016 0. 0. 0. 0. 8.08




















Problem 500 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 94 94 201 57 0 88 0 0 83
normalized size 1 1. 2.14 0.61 0. 0.94 0. 0. 0.88
time (sec) N/A 0.105 0.467 0.012 0. 0.29 0. 0. 10.714




















Problem 501 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 323 323 244 368 0 0 0 0 286
normalized size 1 1. 0.76 1.14 0. 0. 0. 0. 0.89
time (sec) N/A 0.248 0.846 0.022 0. 0. 0. 0. 20.934




















Problem 502 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 175 175 192 264 0 0 0 0 155
normalized size 1 1. 1.1 1.51 0. 0. 0. 0. 0.89
time (sec) N/A 0.144 0.647 0.019 0. 0. 0. 0. 10.941




















Problem 503 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 142 142 169 248 0 0 0 0 128
normalized size 1 1. 1.19 1.75 0. 0. 0. 0. 0.9
time (sec) N/A 0.13 0.949 0.05 0. 0. 0. 0. 10.437




















Problem 504 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 23 18 30 23 0 24 19
normalized size 1 1. 1. 0.78 1.3 1. 0. 1.04 0.83
time (sec) N/A 0.019 0.029 0.006 0.774 0.287 0. 0.274 7.399




















Problem 505 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 253 253 375 275 0 0 0 0 231
normalized size 1 1. 1.48 1.09 0. 0. 0. 0. 0.91
time (sec) N/A 0.161 1.732 0.037 0. 0. 0. 0. 14.709




















Problem 506 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 110 110 148 137 0 0 0 0 105
normalized size 1 1. 1.35 1.25 0. 0. 0. 0. 0.95
time (sec) N/A 0.063 0.248 0.02 0. 0. 0. 0. 6.371




















Problem 507 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 42 42 68 33 0 58 0 0 39
normalized size 1 1. 1.62 0.79 0. 1.38 0. 0. 0.93
time (sec) N/A 0.085 0.405 0.033 0. 0.286 0. 0. 8.973




















Problem 508 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 282 282 400 363 0 0 0 0 248
normalized size 1 1. 1.42 1.29 0. 0. 0. 0. 0.88
time (sec) N/A 0.227 1.15 0.025 0. 0. 0. 0. 18.191




















Problem 509 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 144 144 171 259 0 0 0 0 128
normalized size 1 1. 1.19 1.8 0. 0. 0. 0. 0.89
time (sec) N/A 0.131 1.151 0.022 0. 0. 0. 0. 10.374




















Problem 510 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 137 161 245 0 0 0 0 133
normalized size 1 1. 1.18 1.79 0. 0. 0. 0. 0.97
time (sec) N/A 0.13 0.975 0.075 0. 0. 0. 0. 10.279




















Problem 511 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 23 18 23 23 0 0 26
normalized size 1 1. 1. 0.78 1. 1. 0. 0. 1.13
time (sec) N/A 0.019 0.034 0.006 0.772 0.28 0. 0. 7.291




















Problem 512 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 282 282 402 356 0 0 0 0 265
normalized size 1 1. 1.43 1.26 0. 0. 0. 0. 0.94
time (sec) N/A 0.195 1.456 0.058 0. 0. 0. 0. 17.256




















Problem 513 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 137 216 247 0 0 0 0 133
normalized size 1 1. 1.58 1.8 0. 0. 0. 0. 0.97
time (sec) N/A 0.083 0.628 0.042 0. 0. 0. 0. 7.205




















Problem 514 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 66 66 88 43 0 122 0 0 63
normalized size 1 1. 1.33 0.65 0. 1.85 0. 0. 0.95
time (sec) N/A 0.096 0.344 0.05 0. 0.287 0. 0. 9.794




















Problem 515 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 316 316 409 363 0 0 0 0 287
normalized size 1 1. 1.29 1.15 0. 0. 0. 0. 0.91
time (sec) N/A 0.252 1.447 0.046 0. 0. 0. 0. 20.817




















Problem 516 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 170 170 170 259 0 0 0 0 158
normalized size 1 1. 1. 1.52 0. 0. 0. 0. 0.93
time (sec) N/A 0.159 0.675 0.045 0. 0. 0. 0. 12.287




















Problem 517 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 168 168 178 467 0 0 0 0 162
normalized size 1 1. 1.06 2.78 0. 0. 0. 0. 0.96
time (sec) N/A 0.149 0.761 0.084 0. 0. 0. 0. 11.171




















Problem 518 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 23 18 32 32 0 0 27
normalized size 1 1. 1. 0.78 1.39 1.39 0. 0. 1.17
time (sec) N/A 0.019 0.044 0.006 0.771 0.272 0. 0. 7.21




















Problem 519 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 318 318 409 688 0 0 0 0 298
normalized size 1 1. 1.29 2.16 0. 0. 0. 0. 0.94
time (sec) N/A 0.234 1.361 0.066 0. 0. 0. 0. 19.913




















Problem 520 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 168 168 178 469 0 0 0 0 162
normalized size 1 1. 1.06 2.79 0. 0. 0. 0. 0.96
time (sec) N/A 0.102 0.755 0.061 0. 0. 0. 0. 8.158




















Problem 521 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 96 96 98 69 0 153 0 0 90
normalized size 1 1. 1.02 0.72 0. 1.59 0. 0. 0.94
time (sec) N/A 0.113 0.369 0.071 0. 0.278 0. 0. 10.854




















Problem 522 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 349 349 414 695 0 0 0 0 316
normalized size 1 1. 1.19 1.99 0. 0. 0. 0. 0.91
time (sec) N/A 0.295 1.697 0.067 0. 0. 0. 0. 23.858




















Problem 523 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 203 203 183 481 0 0 0 0 189
normalized size 1 1. 0.9 2.37 0. 0. 0. 0. 0.93
time (sec) N/A 0.184 1.082 0.063 0. 0. 0. 0. 14.448




















Problem 524 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 78 68 101 197 88 96 83
normalized size 1 1. 0.8 0.7 1.04 2.03 0.91 0.99 0.86
time (sec) N/A 0.152 0.07 0.017 0.774 0.272 0.606 0.267 21.373




















Problem 525 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 490 490 568 2218 0 7434 0 0 0
normalized size 1 1. 1.16 4.53 0. 15.17 0. 0. 0.
time (sec) N/A 21.707 1.241 0.114 0. 0.842 0. 0. 0.




















Problem 526 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 326 397 466 1764 0 5731 0 0 0
normalized size 1 1.22 1.43 5.41 0. 17.58 0. 0. 0.
time (sec) N/A 14.129 0.877 0.061 0. 0.535 0. 0. 0.




















Problem 527 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 316 316 375 1329 0 4004 0 0 0
normalized size 1 1. 1.19 4.21 0. 12.67 0. 0. 0.
time (sec) N/A 5.982 0.684 0.051 0. 0.375 0. 0. 0.




















Problem 528 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 287 287 301 926 0 2323 1435 0 0
normalized size 1 1. 1.05 3.23 0. 8.09 5. 0. 0.
time (sec) N/A 5.732 0.543 0.043 0. 0.314 138.83 0. 0.




















Problem 529 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 198 198 175 545 0 965 155 0 185
normalized size 1 1. 0.88 2.75 0. 4.87 0.78 0. 0.93
time (sec) N/A 0.677 0.751 0.032 0. 0.294 21.968 0. 82.62




















Problem 530 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 275 275 267 581 0 1 1352 0 0
normalized size 1 1. 0.97 2.11 0. 0. 4.92 0. 0.
time (sec) N/A 2.234 0.433 0.045 0. 0.647 125.775 0. 0.




















Problem 531 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 368 356 340 999 0 1 0 0 0
normalized size 1 0.97 0.92 2.71 0. 0. 0. 0. 0.
time (sec) N/A 6.814 0.694 0.052 0. 10.377 0. 0. 0.




















Problem 532 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 531 531 435 1486 0 1 0 0 0
normalized size 1 1. 0.82 2.8 0. 0. 0. 0. 0.
time (sec) N/A 7.129 1.395 0.057 0. 162.592 0. 0. 0.




















Problem 533 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 650 650 808 3685 0 19359 0 0 0
normalized size 1 1. 1.24 5.67 0. 29.78 0. 0. 0.
time (sec) N/A 8.429 2.829 0.091 0. 10.856 0. 0. 0.




















Problem 534 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 581 581 680 2988 0 15470 0 0 0
normalized size 1 1. 1.17 5.14 0. 26.63 0. 0. 0.
time (sec) N/A 27.446 1.811 0.076 0. 5.805 0. 0. 0.




















Problem 535 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 441 441 538 2358 0 11516 0 0 0
normalized size 1 1. 1.22 5.35 0. 26.11 0. 0. 0.
time (sec) N/A 7.097 1.224 0.063 0. 2.259 0. 0. 0.




















Problem 536 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 453 453 441 1714 0 7522 0 0 0
normalized size 1 1. 0.97 3.78 0. 16.6 0. 0. 0.
time (sec) N/A 8.746 0.892 0.053 0. 0.941 0. 0. 0.




















Problem 537 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 322 322 317 1138 0 3740 0 0 0
normalized size 1 1. 0.98 3.53 0. 11.61 0. 0. 0.
time (sec) N/A 2.471 0.729 0.041 0. 0.401 0. 0. 0.




















Problem 538 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 340 340 331 944 0 1 0 0 0
normalized size 1 1. 0.97 2.78 0. 0. 0. 0. 0.
time (sec) N/A 3.166 0.629 0.046 0. 8.622 0. 0. 0.




















Problem 539 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 403 402 369 1215 0 1 0 0 0
normalized size 1 1. 0.92 3.01 0. 0. 0. 0. 0.
time (sec) N/A 6.006 0.897 0.055 0. 39.07 0. 0. 0.




















Problem 540 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) F(-1) F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 607 607 499 1880 0 0 0 0 0
normalized size 1 1. 0.82 3.1 0. 0. 0. 0. 0.
time (sec) N/A 7.431 1.728 0.067 0. 0. 0. 0. 0.




















Problem 541 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 201 201 0 0 0 0 0 0 168
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.84
time (sec) N/A 0.786 0.104 0.223 0. 0. 0. 0. 70.77




















Problem 542 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 289 289 353 0 0 0 0 0 272
normalized size 1 1. 1.22 0. 0. 0. 0. 0. 0.94
time (sec) N/A 1.243 1.189 0.135 0. 0. 0. 0. 72.374




















Problem 543 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 236 236 346 0 0 0 0 0 228
normalized size 1 1. 1.47 0. 0. 0. 0. 0. 0.97
time (sec) N/A 0.708 1.906 0.136 0. 0. 0. 0. 66.577




















Problem 544 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 197 197 289 0 0 0 0 0 196
normalized size 1 1. 1.47 0. 0. 0. 0. 0. 0.99
time (sec) N/A 0.399 0.696 0.123 0. 0. 0. 0. 47.964




















Problem 545 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 190 190 245 0 0 0 0 0 172
normalized size 1 1. 1.29 0. 0. 0. 0. 0. 0.91
time (sec) N/A 0.478 0.647 0.154 0. 0. 0. 0. 58.557




















Problem 546 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 241 241 331 0 0 0 0 0 228
normalized size 1 1. 1.37 0. 0. 0. 0. 0. 0.95
time (sec) N/A 0.797 4.255 0.113 0. 0. 0. 0. 86.39




















Problem 547 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 295 295 431 0 0 0 0 0 282
normalized size 1 1. 1.46 0. 0. 0. 0. 0. 0.96
time (sec) N/A 1.004 3.736 0.143 0. 0. 0. 0. 116.988




















Problem 548 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 141 141 134 186 236 238 156 336 0
normalized size 1 1. 0.95 1.32 1.67 1.69 1.11 2.38 0.
time (sec) N/A 0.322 0.13 0.007 0.715 0.28 2.601 0.276 0.




















Problem 549 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 109 109 103 145 186 188 116 285 0
normalized size 1 1. 0.94 1.33 1.71 1.72 1.06 2.61 0.
time (sec) N/A 0.243 0.095 0.006 0.708 0.282 2.224 0.273 0.




















Problem 550 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 65 65 73 110 131 132 75 232 60
normalized size 1 1. 1.12 1.69 2.02 2.03 1.15 3.57 0.92
time (sec) N/A 0.111 0.066 0.005 0.692 0.278 1.916 0.271 18.784




















Problem 551 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 43 82 85 86 46 181 0
normalized size 1 1. 0.86 1.64 1.7 1.72 0.92 3.62 0.
time (sec) N/A 0.068 0.033 0.005 0.691 0.273 1.571 0.276 0.




















Problem 552 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 62 62 55 107 111 103 112 109 0
normalized size 1 1. 0.89 1.73 1.79 1.66 1.81 1.76 0.
time (sec) N/A 0.158 0.038 0.01 0.69 0.278 2.681 0.273 0.




















Problem 553 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 86 82 149 153 223 182 0 75
normalized size 1 1. 0.95 1.73 1.78 2.59 2.12 0. 0.87
time (sec) N/A 0.204 0.08 0.017 0.693 0.279 4.106 0. 31.999




















Problem 554 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 87 87 87 206 201 366 185 0 73
normalized size 1 1. 1. 2.37 2.31 4.21 2.13 0. 0.84
time (sec) N/A 0.218 0.128 0.015 0.692 0.281 4.061 0. 43.514




















Problem 555 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 113 113 122 259 278 540 248 0 97
normalized size 1 1. 1.08 2.29 2.46 4.78 2.19 0. 0.86
time (sec) N/A 0.257 0.095 0.016 0.696 0.283 5.234 0. 50.864




















Problem 556 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 139 139 142 312 319 690 282 1 121
normalized size 1 1. 1.02 2.24 2.29 4.96 2.03 0.01 0.87
time (sec) N/A 0.293 0.15 0.016 0.701 0.282 6.099 0.282 58.506




















Problem 557 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 218 218 226 286 348 443 255 1 0
normalized size 1 1. 1.04 1.31 1.6 2.03 1.17 0. 0.
time (sec) N/A 0.539 0.25 0.014 0.697 0.27 4.571 0.308 0.




















Problem 558 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 177 177 185 245 294 389 204 441 0
normalized size 1 1. 1.05 1.38 1.66 2.2 1.15 2.49 0.
time (sec) N/A 0.459 0.279 0.013 0.702 0.275 4.094 0.303 0.




















Problem 559 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 146 146 154 204 246 339 167 393 0
normalized size 1 1. 1.05 1.4 1.68 2.32 1.14 2.69 0.
time (sec) N/A 0.381 0.177 0.014 0.689 0.276 3.691 0.287 0.




















Problem 560 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 107 107 115 167 190 278 122 338 0
normalized size 1 1. 1.07 1.56 1.78 2.6 1.14 3.16 0.
time (sec) N/A 0.291 0.157 0.012 0.691 0.277 3.141 0.281 0.




















Problem 561 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 83 138 140 212 92 286 0
normalized size 1 1. 1.06 1.77 1.79 2.72 1.18 3.67 0.
time (sec) N/A 0.208 0.117 0.012 0.687 0.276 2.766 0.292 0.




















Problem 562 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 46 96 93 128 60 216 0
normalized size 1 1. 0.92 1.92 1.86 2.56 1.2 4.32 0.
time (sec) N/A 0.12 0.07 0.01 0.692 0.267 2.125 0.279 0.




















Problem 563 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 86 91 156 154 227 180 215 73
normalized size 1 1. 1.06 1.81 1.79 2.64 2.09 2.5 0.85
time (sec) N/A 0.175 0.08 0.016 0.688 0.279 4.133 0.277 29.927




















Problem 564 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 85 180 150 209 155 136 63
normalized size 1 1. 1.15 2.43 2.03 2.82 2.09 1.84 0.85
time (sec) N/A 0.074 0.063 0.017 0.692 0.278 2.963 0.301 13.473




















Problem 565 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 121 121 139 253 286 563 279 0 133
normalized size 1 1. 1.15 2.09 2.36 4.65 2.31 0. 1.1
time (sec) N/A 0.295 0.182 0.019 0.704 0.277 5.127 0. 47.862




















Problem 566 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 146 146 171 270 266 455 236 0 150
normalized size 1 1. 1.17 1.85 1.82 3.12 1.62 0. 1.03
time (sec) N/A 0.339 0.164 0.02 0.709 0.277 5.847 0. 53.241




















Problem 567 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 178 178 195 341 402 875 371 1 187
normalized size 1 1. 1.1 1.92 2.26 4.92 2.08 0.01 1.05
time (sec) N/A 0.43 0.247 0.022 0.706 0.28 7.463 0.272 64.384




















Problem 568 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 210 210 229 394 462 936 420 1 218
normalized size 1 1. 1.09 1.88 2.2 4.46 2. 0. 1.04
time (sec) N/A 0.522 0.348 0.026 0.719 0.284 8.986 0.283 75.957




















Problem 569 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 179 179 193 263 306 454 223 1 0
normalized size 1 1. 1.08 1.47 1.71 2.54 1.25 0.01 0.
time (sec) N/A 0.499 0.161 0.014 0.699 0.274 6.188 0.269 0.




















Problem 570 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 149 149 157 228 254 397 180 1 0
normalized size 1 1. 1.05 1.53 1.7 2.66 1.21 0.01 0.
time (sec) N/A 0.408 0.144 0.015 0.699 0.276 5.5 0.266 0.




















Problem 571 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 118 118 118 198 201 325 148 369 0
normalized size 1 1. 1. 1.68 1.7 2.75 1.25 3.13 0.
time (sec) N/A 0.317 0.16 0.013 0.698 0.281 4.954 0.275 0.




















Problem 572 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 81 81 93 151 142 215 99 306 0
normalized size 1 1. 1.15 1.86 1.75 2.65 1.22 3.78 0.
time (sec) N/A 0.219 0.066 0.012 0.703 0.275 3.941 0.27 0.




















Problem 573 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 61 61 49 105 109 135 80 263 51
normalized size 1 1. 0.8 1.72 1.79 2.21 1.31 4.31 0.84
time (sec) N/A 0.112 0.049 0.01 0.694 0.272 2.729 0.271 20.718




















Problem 574 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 88 88 90 218 203 366 185 266 73
normalized size 1 1. 1.02 2.48 2.31 4.16 2.1 3.02 0.83
time (sec) N/A 0.214 0.133 0.015 0.71 0.279 4.243 0.276 43.458




















Problem 575 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 122 122 140 257 285 563 277 258 133
normalized size 1 1. 1.15 2.11 2.34 4.61 2.27 2.11 1.09
time (sec) N/A 0.264 0.212 0.019 0.704 0.278 5.289 0.27 46.652




















Problem 576 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 127 127 110 298 205 340 143 171 110
normalized size 1 1. 0.87 2.35 1.61 2.68 1.13 1.35 0.87
time (sec) N/A 0.134 0.073 0.019 0.698 0.274 4.071 0.275 30.491




















Problem 577 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 188 188 197 348 416 894 320 0 206
normalized size 1 1. 1.05 1.85 2.21 4.76 1.7 0. 1.1
time (sec) N/A 0.458 0.291 0.021 0.718 0.285 7.61 0. 68.384




















Problem 578 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 235 235 244 421 485 1071 371 1 252
normalized size 1 1. 1.04 1.79 2.06 4.56 1.58 0. 1.07
time (sec) N/A 0.591 0.302 0.022 0.71 0.286 8.927 0.344 86.451




















Problem 579 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 269 269 193 1308 2167 2519 0 725 411
normalized size 1 1. 0.72 4.86 8.06 9.36 0. 2.7 1.53
time (sec) N/A 1.429 0.571 0.021 0.788 0.318 0. 0.296 117.876




















Problem 580 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 215 215 168 1030 1608 1616 0 555 282
normalized size 1 1. 0.78 4.79 7.48 7.52 0. 2.58 1.31
time (sec) N/A 0.982 0.34 0.017 0.784 0.31 0. 0.294 88.542




















Problem 581 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 183 183 145 713 1220 887 0 417 243
normalized size 1 1. 0.79 3.9 6.67 4.85 0. 2.28 1.33
time (sec) N/A 0.635 0.307 0.016 0.782 0.31 0. 0.295 77.108




















Problem 582 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 145 145 105 131 787 456 0 267 212
normalized size 1 1. 0.72 0.9 5.43 3.14 0. 1.84 1.46
time (sec) N/A 0.436 0.124 0.012 0.701 0.286 0. 0.29 59.149




















Problem 583 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 117 117 77 85 504 363 0 188 102
normalized size 1 1. 0.66 0.73 4.31 3.1 0. 1.61 0.87
time (sec) N/A 0.185 0.085 0.011 0.694 0.283 0. 0.294 15.656




















Problem 584 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 53 55 136 271 0 95 80
normalized size 1 1. 0.51 0.53 1.32 2.63 0. 0.92 0.78
time (sec) N/A 0.137 0.043 0. 0.694 0.281 0. 0.298 21.214




















Problem 585 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 242 242 219 3961 0 1 0 1 267
normalized size 1 1. 0.9 16.37 0. 0. 0. 0. 1.1
time (sec) N/A 1.19 0.356 0.048 0. 0.329 0. 0.307 82.672




















Problem 586 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F(-2) A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 311 311 308 6760 0 1 0 0 405
normalized size 1 1. 0.99 21.74 0. 0. 0. 0. 1.3
time (sec) N/A 2.419 1.01 0.038 0. 0.472 0. 0. 129.43




















Problem 587 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F(-2) A F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 398 398 387 9593 0 1 0 1 0
normalized size 1 1. 0.97 24.1 0. 0. 0. 0. 0.
time (sec) N/A 5.427 1.652 0.046 0. 0.906 0. 1.159 0.




















Problem 588 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 112 112 108 114 0 1 0 157 0
normalized size 1 1. 0.96 1.02 0. 0.01 0. 1.4 0.
time (sec) N/A 0.456 0.333 0.022 0. 0.291 0. 0.288 0.




















Problem 589 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 240 240 282 365 440 437 1040 612 0
normalized size 1 1. 1.18 1.52 1.83 1.82 4.33 2.55 0.
time (sec) N/A 0.684 0.486 0.01 0.7 0.277 76.102 0.271 0.




















Problem 590 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 175 175 177 215 266 266 673 389 0
normalized size 1 1. 1.01 1.23 1.52 1.52 3.85 2.22 0.
time (sec) N/A 0.491 0.186 0.01 0.705 0.272 44.974 0.27 0.




















Problem 591 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 113 113 94 101 140 135 374 209 112
normalized size 1 1. 0.83 0.89 1.24 1.19 3.31 1.85 0.99
time (sec) N/A 0.177 0.099 0.007 0.695 0.273 23.586 0.266 23.033




















Problem 592 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 61 61 44 41 72 54 150 84 58
normalized size 1 1. 0.72 0.67 1.18 0.89 2.46 1.38 0.95
time (sec) N/A 0.062 0.035 0.005 0.689 0.274 6.209 0.3 10.929




















Problem 593 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 104 104 92 132 0 1 245 144 95
normalized size 1 1. 0.88 1.27 0. 0.01 2.36 1.38 0.91
time (sec) N/A 0.263 0.228 0.02 0. 0.291 17.442 0.301 63.446




















Problem 594 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-2) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 122 122 115 237 0 1 0 200 124
normalized size 1 1. 0.94 1.94 0. 0.01 0. 1.64 1.02
time (sec) N/A 0.445 0.349 0.022 0. 0.29 0. 0.319 83.965




















Problem 595 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 178 178 166 384 0 1 0 375 194
normalized size 1 1. 0.93 2.16 0. 0.01 0. 2.11 1.09
time (sec) N/A 0.635 0.409 0.026 0. 0.297 0. 0.287 106.987




















Problem 596 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 238 238 278 365 451 436 0 612 0
normalized size 1 1. 1.17 1.53 1.89 1.83 0. 2.57 0.
time (sec) N/A 0.683 0.328 0.011 0.698 0.277 0. 0.286 0.




















Problem 597 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 173 173 177 215 277 265 0 371 173
normalized size 1 1. 1.02 1.24 1.6 1.53 0. 2.14 1.
time (sec) N/A 0.493 0.28 0.01 0.701 0.275 0. 0.282 79.74




















Problem 598 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 111 111 92 101 151 135 2139 193 110
normalized size 1 1. 0.83 0.91 1.36 1.22 19.27 1.74 0.99
time (sec) N/A 0.171 0.126 0.006 0.701 0.273 20.203 0.27 23.201




















Problem 599 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 59 59 43 41 73 53 549 76 58
normalized size 1 1. 0.73 0.69 1.24 0.9 9.31 1.29 0.98
time (sec) N/A 0.062 0.039 0.006 0.693 0.276 9.192 0.27 11.324




















Problem 600 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 112 112 108 165 0 1 0 136 0
normalized size 1 1. 0.96 1.47 0. 0.01 0. 1.21 0.
time (sec) N/A 0.371 0.341 0.017 0. 0.29 0. 0.278 0.




















Problem 601 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 144 144 135 269 0 1 0 304 141
normalized size 1 1. 0.94 1.87 0. 0.01 0. 2.11 0.98
time (sec) N/A 0.61 0.572 0.03 0. 0.296 0. 0.275 174.434




















Problem 602 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 214 214 190 546 0 1 0 487 0
normalized size 1 1. 0.89 2.55 0. 0. 0. 2.28 0.
time (sec) N/A 1.008 1.376 0.033 0. 0.312 0. 0.282 0.




















Problem 603 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 147 147 136 306 0 1 0 209 163
normalized size 1 1. 0.93 2.08 0. 0.01 0. 1.42 1.11
time (sec) N/A 0.324 0.165 0.044 0. 0.609 0. 0.288 30.3




















Problem 604 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 16 13 12 74 129 16 14
normalized size 1 1. 1. 0.81 0.75 4.62 8.06 1. 0.88
time (sec) N/A 0.011 0.024 0.005 0.685 0.277 26.293 0.267 5.632




















Problem 605 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F(-1) F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 411 411 1076 2497 0 0 0 4 0
normalized size 1 1. 2.62 6.08 0. 0. 0. 0.01 0.
time (sec) N/A 4.648 8.307 0.153 0. 0. 0. 3.551 0.




















Problem 606 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F(-1) F A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 342 342 524 1569 0 0 0 4 0
normalized size 1 1. 1.53 4.59 0. 0. 0. 0.01 0.
time (sec) N/A 3.869 3.726 0.036 0. 0. 0. 3.647 0.




















Problem 607 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 240 240 496 1383 0 2593 0 0 209
normalized size 1 1. 2.07 5.76 0. 10.8 0. 0. 0.87
time (sec) N/A 0.918 2.743 0.045 0. 9.807 0. 0. 77.383




















Problem 608 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F A F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 351 351 531 5383 0 7852 0 4 0
normalized size 1 1. 1.51 15.34 0. 22.37 0. 0.01 0.
time (sec) N/A 4.068 4.479 0.1 0. 54.561 0. 6.674 0.




















Problem 609 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F(-1) F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 613 613 600 14861 0 0 0 4 0
normalized size 1 1. 0.98 24.24 0. 0. 0. 0.01 0.
time (sec) N/A 6.538 5.725 0.108 0. 0. 0. 6.513 0.




















Problem 610 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F(-1) F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 337 337 527 2336 0 0 0 4 0
normalized size 1 1. 1.56 6.93 0. 0. 0. 0.01 0.
time (sec) N/A 4.707 3.309 0.05 0. 0. 0. 0.644 0.




















Problem 611 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 240 240 496 1383 0 2583 0 0 209
normalized size 1 1. 2.07 5.76 0. 10.76 0. 0. 0.87
time (sec) N/A 0.846 2.526 0.045 0. 10.48 0. 0. 80.022




















Problem 612 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 230 230 451 1415 0 5839 0 0 199
normalized size 1 1. 1.96 6.15 0. 25.39 0. 0. 0.87
time (sec) N/A 0.645 3.857 0.055 0. 24.556 0. 0. 77.067




















Problem 613 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 354 354 555 10977 0 15992 0 0 304
normalized size 1 1. 1.57 31.01 0. 45.18 0. 0. 0.86
time (sec) N/A 1.597 3.416 0.11 0. 84.327 0. 0. 143.349




















Problem 614 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F(-1) F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 625 625 558 8264 0 0 0 0 0
normalized size 1 1. 0.89 13.22 0. 0. 0. 0. 0.
time (sec) N/A 4.865 3.91 0.108 0. 0. 0. 0. 0.




















Problem 615 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F A F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 351 351 531 5383 0 7889 0 0 0
normalized size 1 1. 1.51 15.34 0. 22.48 0. 0. 0.
time (sec) N/A 3.756 4.344 0.07 0. 74.985 0. 0. 0.




















Problem 616 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 354 354 555 10977 0 16238 0 0 304
normalized size 1 1. 1.57 31.01 0. 45.87 0. 0. 0.86
time (sec) N/A 1.715 4.363 0.112 0. 147.838 0. 0. 142.261




















Problem 617 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F(-1) F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 549 543 1619 30648 0 0 0 4 0
normalized size 1 0.99 2.95 55.83 0. 0. 0. 0.01 0.
time (sec) N/A 3.447 9.174 0.231 0. 0. 0. 0.706 0.




















Problem 618 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 65 65 65 305 0 1146 0 0 121
normalized size 1 1. 1. 4.69 0. 17.63 0. 0. 1.86
time (sec) N/A 0.126 0.126 0.19 0. 0.321 0. 0. 19.299




















Problem 619 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 80 80 104 125 0 416 0 359 85
normalized size 1 1. 1.3 1.56 0. 5.2 0. 4.49 1.06
time (sec) N/A 0.273 0.157 0.022 0. 0.289 0. 0.296 21.777




















Problem 620 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 107 107 148 1178 0 1 0 281 92
normalized size 1 1. 1.38 11.01 0. 0.01 0. 2.63 0.86
time (sec) N/A 0.499 0.262 0.053 0. 0.416 0. 0.325 43.414




















Problem 621 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 107 107 148 524 0 1 0 177 92
normalized size 1 1. 1.38 4.9 0. 0.01 0. 1.65 0.86
time (sec) N/A 0.353 0.078 0.016 0. 0.419 0. 0.311 36.604




















Problem 622 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F(-2) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 851 851 6884 6457 0 0 0 0 0
normalized size 1 1. 8.09 7.59 0. 0. 0. 0. 0.
time (sec) N/A 4.75 13.726 0.166 0. 0. 0. 0. 0.




















Problem 623 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F(-2) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 635 635 910 4351 0 0 0 0 0
normalized size 1 1. 1.43 6.85 0. 0. 0. 0. 0.
time (sec) N/A 2.95 12.715 0.041 0. 0. 0. 0. 0.




















Problem 624 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 434 434 610 2549 0 0 0 0 437
normalized size 1 1. 1.41 5.87 0. 0. 0. 0. 1.01
time (sec) N/A 1.202 7.982 0.03 0. 0. 0. 0. 174.839




















Problem 625 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 362 362 536 1162 0 0 0 0 340
normalized size 1 1. 1.48 3.21 0. 0. 0. 0. 0.94
time (sec) N/A 0.85 4.601 0.025 0. 0. 0. 0. 144.348




















Problem 626 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 683 683 1216 2496 0 0 0 0 0
normalized size 1 1. 1.78 3.65 0. 0. 0. 0. 0.
time (sec) N/A 4.653 12.67 0.05 0. 0. 0. 0. 0.




















Problem 627 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F(-1) F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 650 650 7969 6044 0 0 0 0 0
normalized size 1 1. 12.26 9.3 0. 0. 0. 0. 0.
time (sec) N/A 4.104 13.539 0.064 0. 0. 0. 0. 0.




















Problem 628 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F(-1) F(-1) F(-2) F
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 1205 1205 12364 19181 0 0 0 0 0
normalized size 1 1. 10.26 15.92 0. 0. 0. 0. 0.
time (sec) N/A 9.715 14.932 0.099 0. 0. 0. 0. 0.




















Problem 629 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F(-2) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 666 666 5379 5079 0 0 0 0 0
normalized size 1 1. 8.08 7.63 0. 0. 0. 0. 0.
time (sec) N/A 3.012 13.558 0.063 0. 0. 0. 0. 0.




















Problem 630 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F(-2) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 508 503 712 3278 0 0 0 0 0
normalized size 1 0.99 1.4 6.45 0. 0. 0. 0. 0.
time (sec) N/A 1.98 9.455 0.039 0. 0. 0. 0. 0.




















Problem 631 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 364 364 545 1828 0 0 0 0 359
normalized size 1 1. 1.5 5.02 0. 0. 0. 0. 0.99
time (sec) N/A 0.947 7.751 0.03 0. 0. 0. 0. 131.463




















Problem 632 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 322 322 456 688 0 0 0 0 303
normalized size 1 1. 1.42 2.14 0. 0. 0. 0. 0.94
time (sec) N/A 0.635 3.727 0.024 0. 0. 0. 0. 112.412




















Problem 633 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 473 473 1096 1216 0 0 0 0 0
normalized size 1 1. 2.32 2.57 0. 0. 0. 0. 0.
time (sec) N/A 2.233 7.469 0.036 0. 0. 0. 0. 0.




















Problem 634 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F(-1) F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 694 694 1336 6034 0 0 0 0 0
normalized size 1 1. 1.93 8.69 0. 0. 0. 0. 0.
time (sec) N/A 4.181 10.359 0.046 0. 0. 0. 0. 0.




















Problem 635 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F(-1) F(-2) F(-2) F
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 1241 1241 12365 19187 0 0 0 0 0
normalized size 1 1. 9.96 15.46 0. 0. 0. 0. 0.
time (sec) N/A 9.705 14.815 0.079 0. 0. 0. 0. 0.




















Problem 636 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F(-2) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 531 527 747 3922 0 0 0 0 0
normalized size 1 0.99 1.41 7.39 0. 0. 0. 0. 0.
time (sec) N/A 2.19 10.99 0.059 0. 0. 0. 0. 0.




















Problem 637 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F(-2) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 410 410 596 2470 0 0 0 0 0
normalized size 1 1. 1.45 6.02 0. 0. 0. 0. 0.
time (sec) N/A 1.229 7.588 0.054 0. 0. 0. 0. 0.




















Problem 638 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 331 331 464 1286 0 0 0 0 309
normalized size 1 1. 1.4 3.89 0. 0. 0. 0. 0.93
time (sec) N/A 0.736 5.398 0.042 0. 0. 0. 0. 123.818




















Problem 639 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 136 136 294 396 0 0 0 0 129
normalized size 1 1. 2.16 2.91 0. 0. 0. 0. 0.95
time (sec) N/A 0.209 0.656 0.04 0. 0. 0. 0. 37.252




















Problem 640 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F(-1) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 319 319 300 439 0 0 0 0 330
normalized size 1 1. 0.94 1.38 0. 0. 0. 0. 1.03
time (sec) N/A 1.809 0.903 0.051 0. 0. 0. 0. 95.722




















Problem 641 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F(-1) F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 698 698 1330 5743 0 0 0 0 0
normalized size 1 1. 1.91 8.23 0. 0. 0. 0. 0.
time (sec) N/A 4.727 10.356 0.063 0. 0. 0. 0. 0.




















Problem 642 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F(-1) F(-1) F F
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 1246 1246 12363 20364 0 0 0 0 0
normalized size 1 1. 9.92 16.34 0. 0. 0. 0. 0.
time (sec) N/A 10.169 15.141 0.094 0. 0. 0. 0. 0.




















Problem 643 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F(-1) F(-1) F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 600 808 1440 3164 0 0 0 0 0
normalized size 1 1.35 2.4 5.27 0. 0. 0. 0. 0.
time (sec) N/A 2.9 13.776 0.057 0. 0. 0. 0. 0.




















Problem 644 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F(-1) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 469 469 927 959 0 0 0 0 478
normalized size 1 1. 1.98 2.04 0. 0. 0. 0. 1.02
time (sec) N/A 2.14 1.686 0.052 0. 0. 0. 0. 150.141




















Problem 645 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F(-2) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 457 457 625 2949 0 0 0 0 0
normalized size 1 1. 1.37 6.45 0. 0. 0. 0. 0.
time (sec) N/A 1.405 7.704 0.061 0. 0. 0. 0. 0.




















Problem 646 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 356 356 473 1769 0 0 0 0 602
normalized size 1 1. 1.33 4.97 0. 0. 0. 0. 1.69
time (sec) N/A 1.032 5.853 0.054 0. 0. 0. 0. 174.557




















Problem 647 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 288 288 439 520 0 0 0 0 270
normalized size 1 1. 1.52 1.81 0. 0. 0. 0. 0.94
time (sec) N/A 0.543 2.662 0.048 0. 0. 0. 0. 93.134




















Problem 648 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 136 136 186 200 0 0 0 0 129
normalized size 1 1. 1.37 1.47 0. 0. 0. 0. 0.95
time (sec) N/A 0.214 0.443 0.044 0. 0. 0. 0. 44.969




















Problem 649 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F(-1) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 167 167 311 235 0 0 0 0 201
normalized size 1 1. 1.86 1.41 0. 0. 0. 0. 1.2
time (sec) N/A 1.416 0.903 0.052 0. 0. 0. 0. 18.542




















Problem 650 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F(-1) F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 746 746 1491 5738 0 0 0 0 0
normalized size 1 1. 2. 7.69 0. 0. 0. 0. 0.
time (sec) N/A 5.036 11.102 0.072 0. 0. 0. 0. 0.




















Problem 651 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F(-1) F(-2) F F
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 1257 1257 15233 20365 0 0 0 0 0
normalized size 1 1. 12.12 16.2 0. 0. 0. 0. 0.
time (sec) N/A 10.234 15.733 0.128 0. 0. 0. 0. 0.




















Problem 652 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F(-1) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 387 387 468 2011 0 0 0 0 394
normalized size 1 1. 1.21 5.2 0. 0. 0. 0. 1.02
time (sec) N/A 2.034 6.358 0.093 0. 0. 0. 0. 115.104




















Problem 653 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F(-1) F F F(-1)
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 818 818 2069 9409 0 0 0 0 0
normalized size 1 1. 2.53 11.5 0. 0. 0. 0. 0.
time (sec) N/A 3.086 14.235 0.129 0. 0. 0. 0. 0.




















Problem 654 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F(-1) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 110 110 261 215 0 0 0 0 162
normalized size 1 1. 2.37 1.95 0. 0. 0. 0. 1.47
time (sec) N/A 1.021 0.804 0.128 0. 0. 0. 0. 14.279




















Problem 655 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 454 454 344 433 0 0 0 0 400
normalized size 1 1. 0.76 0.95 0. 0. 0. 0. 0.88
time (sec) N/A 1.216 1.951 0.221 0. 0. 0. 0. 170.923




















Problem 656 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 52 52 107 58 0 0 0 0 26
normalized size 1 1. 2.06 1.12 0. 0. 0. 0. 0.5
time (sec) N/A 0.135 0.239 0.151 0. 0. 0. 0. 15.29




















Problem 657 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 269 269 136 188 294 605 0 0 262
normalized size 1 1. 0.51 0.7 1.09 2.25 0. 0. 0.97
time (sec) N/A 1.18 0.194 0.012 0.78 0.291 0. 0. 95.108




















Problem 658 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 200 200 89 116 180 378 0 0 194
normalized size 1 1. 0.44 0.58 0.9 1.89 0. 0. 0.97
time (sec) N/A 0.707 0.126 0.011 0.764 0.288 0. 0. 61.815




















Problem 659 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 125 125 53 67 88 198 0 0 119
normalized size 1 1. 0.42 0.54 0.7 1.58 0. 0. 0.95
time (sec) N/A 0.335 0.06 0.008 0.762 0.293 0. 0. 35.652




















Problem 660 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 35 50 24 57 0 0 41
normalized size 1 1. 0.76 1.09 0.52 1.24 0. 0. 0.89
time (sec) N/A 0.072 0.029 0.007 0.752 0.288 0. 0. 17.18




















Problem 661 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 80 80 93 87 0 1 0 0 78
normalized size 1 1. 1.16 1.09 0. 0.01 0. 0. 0.98
time (sec) N/A 0.378 0.09 0.036 0. 0.3 0. 0. 32.82




















Problem 662 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 140 140 138 168 0 1 0 0 131
normalized size 1 1. 0.99 1.2 0. 0.01 0. 0. 0.94
time (sec) N/A 0.64 0.264 0.029 0. 0.304 0. 0. 56.404




















Problem 663 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 213 213 163 285 0 1 0 0 202
normalized size 1 1. 0.77 1.34 0. 0. 0. 0. 0.95
time (sec) N/A 1.015 0.368 0.03 0. 0.311 0. 0. 84.507




















Problem 664 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 280 280 188 450 0 1 0 0 269
normalized size 1 1. 0.67 1.61 0. 0. 0. 0. 0.96
time (sec) N/A 1.375 0.667 0.031 0. 0.321 0. 0. 116.729




















Problem 665 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 257 257 134 187 223 424 0 4 252
normalized size 1 1. 0.52 0.73 0.87 1.65 0. 0.02 0.98
time (sec) N/A 1.013 0.187 0.012 0.786 0.282 0. 0.739 90.559




















Problem 666 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 181 181 88 116 132 247 0 4 175
normalized size 1 1. 0.49 0.64 0.73 1.36 0. 0.02 0.97
time (sec) N/A 0.606 0.118 0.012 0.775 0.27 0. 0.715 61.106




















Problem 667 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 150 150 51 66 65 119 0 4 139
normalized size 1 1. 0.34 0.44 0.43 0.79 0. 0.03 0.93
time (sec) N/A 0.429 0.064 0.007 0.763 0.27 0. 0.654 46.142




















Problem 668 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 35 50 24 100 0 4 42
normalized size 1 1. 0.76 1.09 0.52 2.17 0. 0.09 0.91
time (sec) N/A 0.07 0.021 0.004 0.713 0.265 0. 0.682 17.114




















Problem 669 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 133 133 110 128 0 1 0 4 126
normalized size 1 1. 0.83 0.96 0. 0.01 0. 0.03 0.95
time (sec) N/A 0.605 0.172 0.03 0. 0.284 0. 0.781 57.608




















Problem 670 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 202 202 141 225 0 1 0 4 192
normalized size 1 1. 0.7 1.11 0. 0. 0. 0.02 0.95
time (sec) N/A 0.862 0.439 0.042 0. 0.29 0. 0.768 83.445




















Problem 671 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 274 274 185 379 0 1 0 4 265
normalized size 1 1. 0.68 1.38 0. 0. 0. 0.01 0.97
time (sec) N/A 1.25 0.491 0.043 0. 0.302 0. 0.908 116.395




















Problem 672 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 239 239 131 187 296 447 0 4 233
normalized size 1 1. 0.55 0.78 1.24 1.87 0. 0.02 0.97
time (sec) N/A 0.9 0.21 0.012 0.764 0.274 0. 0.908 91.85




















Problem 673 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 211 211 87 116 186 271 0 4 201
normalized size 1 1. 0.41 0.55 0.88 1.28 0. 0.02 0.95
time (sec) N/A 0.682 0.143 0.012 0.744 0.271 0. 0.832 76.615




















Problem 674 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 154 154 52 66 99 174 0 4 146
normalized size 1 1. 0.34 0.43 0.64 1.13 0. 0.03 0.95
time (sec) N/A 0.411 0.07 0.008 0.73 0.27 0. 0.835 46.166




















Problem 675 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 48 48 37 50 38 144 0 4 44
normalized size 1 1. 0.77 1.04 0.79 3. 0. 0.08 0.92
time (sec) N/A 0.07 0.047 0.004 0.716 0.268 0. 0.755 17.058




















Problem 676 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 188 188 128 219 0 1 0 4 180
normalized size 1 1. 0.68 1.16 0. 0.01 0. 0.02 0.96
time (sec) N/A 0.897 0.341 0.033 0. 0.289 0. 1.008 87.122




















Problem 677 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 268 268 180 424 0 1 0 4 255
normalized size 1 1. 0.67 1.58 0. 0. 0. 0.01 0.95
time (sec) N/A 1.184 0.534 0.042 0. 0.299 0. 1.169 115.781




















Problem 678 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 342 342 212 670 0 1 0 4 332
normalized size 1 1. 0.62 1.96 0. 0. 0. 0.01 0.97
time (sec) N/A 1.841 0.985 0.047 0. 0.312 0. 13.296 153.982




















Problem 679 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 336 336 195 283 432 1127 0 0 330
normalized size 1 1. 0.58 0.84 1.29 3.35 0. 0. 0.98
time (sec) N/A 1.633 0.255 0.012 0.76 0.275 0. 0. 132.075




















Problem 680 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 269 269 136 188 294 799 0 0 264
normalized size 1 1. 0.51 0.7 1.09 2.97 0. 0. 0.98
time (sec) N/A 1.109 0.214 0.012 0.748 0.276 0. 0. 95.065




















Problem 681 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 200 200 90 116 180 522 0 0 196
normalized size 1 1. 0.45 0.58 0.9 2.61 0. 0. 0.98
time (sec) N/A 0.683 0.135 0.012 0.734 0.271 0. 0. 61.623




















Problem 682 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 125 125 54 67 88 293 0 0 121
normalized size 1 1. 0.43 0.54 0.7 2.34 0. 0. 0.97
time (sec) N/A 0.316 0.069 0.008 0.72 0.27 0. 0. 35.572




















Problem 683 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 48 48 37 50 24 135 0 0 42
normalized size 1 1. 0.77 1.04 0.5 2.81 0. 0. 0.88
time (sec) N/A 0.07 0.037 0.003 0.715 0.266 0. 0. 17.418




















Problem 684 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 124 124 114 153 0 1 0 0 117
normalized size 1 1. 0.92 1.23 0. 0.01 0. 0. 0.94
time (sec) N/A 0.595 0.132 0.026 0. 0.282 0. 0. 56.444




















Problem 685 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 132 132 111 161 0 1 0 0 124
normalized size 1 1. 0.84 1.22 0. 0.01 0. 0. 0.94
time (sec) N/A 0.547 0.221 0.032 0. 0.285 0. 0. 56.226




















Problem 686 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 207 207 164 285 0 1 0 0 190
normalized size 1 1. 0.79 1.38 0. 0. 0. 0. 0.92
time (sec) N/A 0.938 0.387 0.035 0. 0.29 0. 0. 83.209




















Problem 687 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 277 277 168 453 0 1 0 0 257
normalized size 1 1. 0.61 1.64 0. 0. 0. 0. 0.93
time (sec) N/A 1.154 0.704 0.042 0. 0.303 0. 0. 116.688




















Problem 688 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 347 347 195 696 0 1 0 0 328
normalized size 1 1. 0.56 2.01 0. 0. 0. 0. 0.95
time (sec) N/A 1.609 1.047 0.041 0. 0.314 0. 0. 152.208




















Problem 689 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 336 336 195 283 558 1368 0 0 330
normalized size 1 1. 0.58 0.84 1.66 4.07 0. 0. 0.98
time (sec) N/A 1.612 0.335 0.013 0.767 0.275 0. 0. 129.65




















Problem 690 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 269 269 137 188 397 990 0 0 264
normalized size 1 1. 0.51 0.7 1.48 3.68 0. 0. 0.98
time (sec) N/A 1.109 0.243 0.012 0.744 0.276 0. 0. 93.757




















Problem 691 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 200 200 90 116 259 662 0 0 196
normalized size 1 1. 0.45 0.58 1.3 3.31 0. 0. 0.98
time (sec) N/A 0.71 0.19 0.011 0.73 0.271 0. 0. 60.388




















Problem 692 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 125 125 54 67 144 382 0 0 121
normalized size 1 1. 0.43 0.54 1.15 3.06 0. 0. 0.97
time (sec) N/A 0.327 0.099 0.007 0.723 0.268 0. 0. 34.955




















Problem 693 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 48 48 37 50 58 178 0 0 42
normalized size 1 1. 0.77 1.04 1.21 3.71 0. 0. 0.88
time (sec) N/A 0.071 0.046 0.006 0.714 0.269 0. 0. 16.909




















Problem 694 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 179 179 132 263 0 1 0 0 172
normalized size 1 1. 0.74 1.47 0. 0.01 0. 0. 0.96
time (sec) N/A 0.977 0.306 0.027 0. 0.283 0. 0. 82.996




















Problem 695 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 178 178 127 306 0 1 0 0 170
normalized size 1 1. 0.71 1.72 0. 0.01 0. 0. 0.96
time (sec) N/A 0.879 0.742 0.035 0. 0.308 0. 0. 82.046




















Problem 696 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 195 195 135 276 0 1 0 0 187
normalized size 1 1. 0.69 1.42 0. 0.01 0. 0. 0.96
time (sec) N/A 0.876 0.389 0.035 0. 0.29 0. 0. 82.338




















Problem 697 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 265 265 190 453 0 1 0 0 248
normalized size 1 1. 0.72 1.71 0. 0. 0. 0. 0.94
time (sec) N/A 1.226 0.715 0.037 0. 0.298 0. 0. 114.174




















Problem 698 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 335 335 201 665 0 1 0 0 320
normalized size 1 1. 0.6 1.99 0. 0. 0. 0. 0.96
time (sec) N/A 1.504 1.012 0.045 0. 0.307 0. 0. 150.577




















Problem 699 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 405 405 231 955 0 1 0 0 0
normalized size 1 1. 0.57 2.36 0. 0. 0. 0. 0.
time (sec) N/A 2.087 1.362 0.048 0. 0.324 0. 0. 0.




















Problem 700 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 336 336 205 283 672 1615 0 0 330
normalized size 1 1. 0.61 0.84 2. 4.81 0. 0. 0.98
time (sec) N/A 1.624 0.354 0.013 0.768 0.287 0. 0. 129.653




















Problem 701 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 269 269 147 188 489 1187 0 0 264
normalized size 1 1. 0.55 0.7 1.82 4.41 0. 0. 0.98
time (sec) N/A 1.145 0.28 0.012 0.746 0.275 0. 0. 94.204




















Problem 702 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 200 200 100 116 328 809 0 0 196
normalized size 1 1. 0.5 0.58 1.64 4.04 0. 0. 0.98
time (sec) N/A 0.709 0.209 0.011 0.736 0.279 0. 0. 60.569




















Problem 703 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 125 125 64 67 190 479 0 0 121
normalized size 1 1. 0.51 0.54 1.52 3.83 0. 0. 0.97
time (sec) N/A 0.33 0.114 0.007 0.718 0.27 0. 0. 35.143




















Problem 704 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 48 48 37 50 81 227 0 0 42
normalized size 1 1. 0.77 1.04 1.69 4.73 0. 0. 0.88
time (sec) N/A 0.072 0.065 0.007 0.711 0.269 0. 0. 17.404




















Problem 705 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 236 236 168 431 0 1 0 0 228
normalized size 1 1. 0.71 1.83 0. 0. 0. 0. 0.97
time (sec) N/A 1.397 0.446 0.029 0. 0.293 0. 0. 110.871




















Problem 706 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 235 235 161 523 0 1 0 0 228
normalized size 1 1. 0.69 2.23 0. 0. 0. 0. 0.97
time (sec) N/A 1.224 0.695 0.039 0. 0.316 0. 0. 109.327




















Problem 707 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 246 246 178 526 0 1 0 0 236
normalized size 1 1. 0.72 2.14 0. 0. 0. 0. 0.96
time (sec) N/A 1.141 0.738 0.04 0. 0.569 0. 0. 108.741




















Problem 708 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 253 253 181 441 0 1 0 0 245
normalized size 1 1. 0.72 1.74 0. 0. 0. 0. 0.97
time (sec) N/A 1.132 0.744 0.038 0. 0.297 0. 0. 107.933




















Problem 709 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 323 323 204 665 0 1 0 0 311
normalized size 1 1. 0.63 2.06 0. 0. 0. 0. 0.96
time (sec) N/A 1.629 1.043 0.041 0. 0.304 0. 0. 144.115




















Problem 710 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 393 393 231 924 0 1 0 0 0
normalized size 1 1. 0.59 2.35 0. 0. 0. 0. 0.
time (sec) N/A 1.837 1.428 0.049 0. 0.319 0. 0. 0.




















Problem 711 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 463 463 258 1261 0 1 0 0 0
normalized size 1 1. 0.56 2.72 0. 0. 0. 0. 0.
time (sec) N/A 2.416 1.795 0.049 0. 0.341 0. 0. 0.




















Problem 712 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 313 313 205 511 0 1 0 0 301
normalized size 1 1. 0.65 1.63 0. 0. 0. 0. 0.96
time (sec) N/A 1.467 0.387 0.052 0. 1.057 0. 0. 121.9




















Problem 713 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 244 244 168 328 0 1 0 0 233
normalized size 1 1. 0.69 1.34 0. 0. 0. 0. 0.95
time (sec) N/A 1.035 0.247 0.035 0. 0.951 0. 0. 89.139




















Problem 714 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 169 169 157 201 0 1 0 0 160
normalized size 1 1. 0.93 1.19 0. 0.01 0. 0. 0.95
time (sec) N/A 0.655 0.229 0.029 0. 0.92 0. 0. 60.783




















Problem 715 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 105 105 109 112 0 1 0 0 102
normalized size 1 1. 1.04 1.07 0. 0.01 0. 0. 0.97
time (sec) N/A 0.323 0.091 0.038 0. 0.895 0. 0. 38.173




















Problem 716 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 61 61 50 63 0 154 0 0 58
normalized size 1 1. 0.82 1.03 0. 2.52 0. 0. 0.95
time (sec) N/A 0.254 0.092 0.01 0. 0.282 0. 0. 22.125




















Problem 717 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 129 129 69 98 0 389 0 0 122
normalized size 1 1. 0.53 0.76 0. 3.02 0. 0. 0.95
time (sec) N/A 0.516 0.146 0.011 0. 0.285 0. 0. 43.697




















Problem 718 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 198 198 105 169 0 772 0 0 190
normalized size 1 1. 0.53 0.85 0. 3.9 0. 0. 0.96
time (sec) N/A 0.796 0.255 0.013 0. 0.29 0. 0. 70.024




















Problem 719 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 267 267 128 260 0 1287 0 0 258
normalized size 1 1. 0.48 0.97 0. 4.82 0. 0. 0.97
time (sec) N/A 1.1 0.367 0.017 0. 0.298 0. 0. 99.956




















Problem 720 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 301 301 199 648 0 1 0 4 292
normalized size 1 1. 0.66 2.15 0. 0. 0. 0.01 0.97
time (sec) N/A 1.322 0.447 0.048 0. 0.959 0. 0.756 120.841




















Problem 721 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 227 227 161 396 0 1 0 4 219
normalized size 1 1. 0.71 1.74 0. 0. 0. 0.02 0.96
time (sec) N/A 0.963 0.289 0.039 0. 0.936 0. 0.694 88.049




















Problem 722 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 161 161 131 210 0 1 0 4 153
normalized size 1 1. 0.81 1.3 0. 0.01 0. 0.02 0.95
time (sec) N/A 0.617 0.189 0.034 0. 0.898 0. 0.633 62.465




















Problem 723 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 61 61 50 63 0 169 0 0 56
normalized size 1 1. 0.82 1.03 0. 2.77 0. 0. 0.92
time (sec) N/A 0.252 0.078 0.01 0. 0.284 0. 0. 21.753




















Problem 724 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 124 124 64 97 0 439 0 0 117
normalized size 1 1. 0.52 0.78 0. 3.54 0. 0. 0.94
time (sec) N/A 0.522 0.143 0.009 0. 0.29 0. 0. 44.345




















Problem 725 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 192 192 105 168 0 876 0 0 185
normalized size 1 1. 0.55 0.88 0. 4.56 0. 0. 0.96
time (sec) N/A 0.793 0.232 0.014 0. 0.299 0. 0. 69.304




















Problem 726 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 262 262 150 259 0 1434 0 0 255
normalized size 1 1. 0.57 0.99 0. 5.47 0. 0. 0.97
time (sec) N/A 1.093 0.34 0.017 0. 0.318 0. 0. 98.606




















Problem 727 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 289 289 202 652 0 1 0 4 280
normalized size 1 1. 0.7 2.26 0. 0. 0. 0.01 0.97
time (sec) N/A 1.25 0.55 0.043 0. 0.964 0. 1.026 118.211




















Problem 728 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 219 219 150 343 0 1 0 4 211
normalized size 1 1. 0.68 1.57 0. 0. 0. 0.02 0.96
time (sec) N/A 0.887 0.363 0.042 0. 0.924 0. 0.856 89.258




















Problem 729 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 52 63 0 261 0 4 58
normalized size 1 1. 0.83 1. 0. 4.14 0. 0.06 0.92
time (sec) N/A 0.252 0.096 0.01 0. 0.289 0. 0.736 21.743




















Problem 730 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 128 128 68 99 0 429 0 0 121
normalized size 1 1. 0.53 0.77 0. 3.35 0. 0. 0.95
time (sec) N/A 0.532 0.144 0.011 0. 0.292 0. 0. 44.197




















Problem 731 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 194 194 103 169 0 900 0 0 185
normalized size 1 1. 0.53 0.87 0. 4.64 0. 0. 0.95
time (sec) N/A 0.794 0.233 0.013 0. 0.305 0. 0. 70.272




















Problem 732 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 260 260 152 258 0 1438 0 0 252
normalized size 1 1. 0.58 0.99 0. 5.53 0. 0. 0.97
time (sec) N/A 1.098 0.32 0.015 0. 0.322 0. 0. 99.327




















Problem 733 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 385 385 247 870 0 1 0 0 364
normalized size 1 1. 0.64 2.26 0. 0. 0. 0. 0.95
time (sec) N/A 1.904 0.41 0.032 0. 1.242 0. 0. 157.767




















Problem 734 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 313 313 200 602 0 1 0 0 291
normalized size 1 1. 0.64 1.92 0. 0. 0. 0. 0.93
time (sec) N/A 1.431 0.291 0.027 0. 1.049 0. 0. 120.556




















Problem 735 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 241 241 178 385 0 1 0 0 223
normalized size 1 1. 0.74 1.6 0. 0. 0. 0. 0.93
time (sec) N/A 1.006 0.271 0.023 0. 0.945 0. 0. 88.292




















Problem 736 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 167 167 163 198 0 1 0 0 158
normalized size 1 1. 0.98 1.19 0. 0.01 0. 0. 0.95
time (sec) N/A 0.642 0.194 0.027 0. 0.931 0. 0. 61.303




















Problem 737 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 158 158 147 197 0 1 0 0 151
normalized size 1 1. 0.93 1.25 0. 0.01 0. 0. 0.96
time (sec) N/A 0.61 0.189 0.037 0. 0.902 0. 0. 60.859




















Problem 738 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 52 63 0 228 0 0 60
normalized size 1 1. 0.83 1. 0. 3.62 0. 0. 0.95
time (sec) N/A 0.255 0.091 0.01 0. 0.286 0. 0. 21.854




















Problem 739 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 129 129 69 99 0 543 0 0 122
normalized size 1 1. 0.53 0.77 0. 4.21 0. 0. 0.95
time (sec) N/A 0.528 0.145 0.011 0. 0.289 0. 0. 43.631




















Problem 740 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 198 198 105 169 0 1010 0 0 190
normalized size 1 1. 0.53 0.85 0. 5.1 0. 0. 0.96
time (sec) N/A 0.816 0.212 0.013 0. 0.297 0. 0. 69.286




















Problem 741 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 267 267 152 260 0 1592 0 0 258
normalized size 1 1. 0.57 0.97 0. 5.96 0. 0. 0.97
time (sec) N/A 1.1 0.356 0.017 0. 0.305 0. 0. 99.016




















Problem 742 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 382 382 254 870 0 1 0 0 364
normalized size 1 1. 0.66 2.28 0. 0. 0. 0. 0.95
time (sec) N/A 1.873 0.65 0.028 0. 1.278 0. 0. 155.836




















Problem 743 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 310 310 210 602 0 1 0 0 291
normalized size 1 1. 0.68 1.94 0. 0. 0. 0. 0.94
time (sec) N/A 1.41 0.464 0.028 0. 1.05 0. 0. 120.398




















Problem 744 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 238 238 181 325 0 1 0 0 228
normalized size 1 1. 0.76 1.37 0. 0. 0. 0. 0.96
time (sec) N/A 1.011 0.415 0.033 0. 0.952 0. 0. 89.268




















Problem 745 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 222 222 164 383 0 1 0 0 216
normalized size 1 1. 0.74 1.73 0. 0. 0. 0. 0.97
time (sec) N/A 0.935 0.579 0.037 0. 0.941 0. 0. 87.702




















Problem 746 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 214 214 167 331 0 1 0 0 207
normalized size 1 1. 0.78 1.55 0. 0. 0. 0. 0.97
time (sec) N/A 0.881 0.588 0.042 0. 0.909 0. 0. 84.913




















Problem 747 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 52 63 308 313 0 0 60
normalized size 1 1. 0.83 1. 4.89 4.97 0. 0. 0.95
time (sec) N/A 0.255 0.17 0.01 1.067 0.289 0. 0. 21.662




















Problem 748 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 129 129 69 99 707 710 0 0 122
normalized size 1 1. 0.53 0.77 5.48 5.5 0. 0. 0.95
time (sec) N/A 0.526 0.206 0.012 1.205 0.296 0. 0. 43.176




















Problem 749 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 198 198 105 169 1245 1239 0 0 190
normalized size 1 1. 0.53 0.85 6.29 6.26 0. 0. 0.96
time (sec) N/A 0.814 0.284 0.014 1.402 0.307 0. 0. 68.861




















Problem 750 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 267 267 152 260 1928 1917 0 0 258
normalized size 1 1. 0.57 0.97 7.22 7.18 0. 0. 0.97
time (sec) N/A 1.113 0.387 0.017 1.689 0.318 0. 0. 98.057




















Problem 751 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F(-2) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 448 448 315 1191 0 1 0 0 0
normalized size 1 1. 0.7 2.66 0. 0. 0. 0. 0.
time (sec) N/A 2.335 1.113 0.035 0. 1.708 0. 0. 0.




















Problem 752 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 376 376 256 870 0 1 0 0 360
normalized size 1 1. 0.68 2.31 0. 0. 0. 0. 0.96
time (sec) N/A 1.841 0.686 0.03 0. 1.247 0. 0. 153.646




















Problem 753 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 304 304 205 508 0 1 0 0 292
normalized size 1 1. 0.67 1.67 0. 0. 0. 0. 0.96
time (sec) N/A 1.399 0.475 0.038 0. 1.057 0. 0. 118.3




















Problem 754 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 294 294 202 635 0 1 0 0 287
normalized size 1 1. 0.69 2.16 0. 0. 0. 0. 0.98
time (sec) N/A 1.305 0.596 0.042 0. 0.954 0. 0. 117.598




















Problem 755 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 284 284 204 638 0 1 0 0 277
normalized size 1 1. 0.72 2.25 0. 0. 0. 0. 0.98
time (sec) N/A 1.228 0.668 0.039 0. 0.941 0. 0. 112.763




















Problem 756 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 274 274 185 511 0 1 0 0 267
normalized size 1 1. 0.68 1.86 0. 0. 0. 0. 0.97
time (sec) N/A 1.181 0.695 0.046 0. 0.916 0. 0. 109.725




















Problem 757 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 62 63 0 404 0 0 60
normalized size 1 1. 0.98 1. 0. 6.41 0. 0. 0.95
time (sec) N/A 0.253 0.212 0.01 0. 0.295 0. 0. 21.825




















Problem 758 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 129 129 79 99 0 863 0 0 122
normalized size 1 1. 0.61 0.77 0. 6.69 0. 0. 0.95
time (sec) N/A 0.529 0.265 0.011 0. 0.303 0. 0. 43.164




















Problem 759 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 198 198 115 169 0 1486 0 0 190
normalized size 1 1. 0.58 0.85 0. 7.51 0. 0. 0.96
time (sec) N/A 0.81 0.338 0.013 0. 0.314 0. 0. 68.835




















Problem 760 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 267 267 162 260 0 2225 0 0 258
normalized size 1 1. 0.61 0.97 0. 8.33 0. 0. 0.97
time (sec) N/A 1.122 0.405 0.017 0. 0.338 0. 0. 98.549




















Problem 761 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 104 122 100 0 0 0 0 4 114
normalized size 1 1.17 0.96 0. 0. 0. 0. 0.04 1.1
time (sec) N/A 0.37 0.209 0.157 0. 0. 0. 0.806 61.664




















Problem 762 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 104 110 98 0 0 0 0 4 109
normalized size 1 1.06 0.94 0. 0. 0. 0. 0.04 1.05
time (sec) N/A 0.353 0.098 0.126 0. 0. 0. 1.064 61.517




















Problem 763 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 104 118 98 0 0 0 0 0 97
normalized size 1 1.13 0.94 0. 0. 0. 0. 0. 0.93
time (sec) N/A 0.345 0.095 0.11 0. 0. 0. 0. 61.876




















Problem 764 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 104 120 100 0 0 0 0 0 107
normalized size 1 1.15 0.96 0. 0. 0. 0. 0. 1.03
time (sec) N/A 0.339 0.125 0.112 0. 0. 0. 0. 62.032




















Problem 765 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 104 122 100 0 0 0 0 0 109
normalized size 1 1.17 0.96 0. 0. 0. 0. 0. 1.05
time (sec) N/A 0.342 0.201 0.172 0. 0. 0. 0. 61.446




















Problem 766 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 104 122 110 0 0 0 0 0 109
normalized size 1 1.17 1.06 0. 0. 0. 0. 0. 1.05
time (sec) N/A 0.348 0.152 0.107 0. 0. 0. 0. 61.519




















Problem 767 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 107 95 0 0 0 0 0 94
normalized size 1 1.04 0.92 0. 0. 0. 0. 0. 0.91
time (sec) N/A 0.2 0.196 0.24 0. 0. 0. 0. 47.769




















Problem 768 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 343 343 233 527 447 952 0 1 0
normalized size 1 1. 0.68 1.54 1.3 2.78 0. 0. 0.
time (sec) N/A 0.932 0.302 0.015 0.757 0.288 0. 0.277 0.




















Problem 769 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 246 246 131 235 261 473 0 1 223
normalized size 1 1. 0.53 0.96 1.06 1.92 0. 0. 0.91
time (sec) N/A 0.502 0.173 0.013 0.743 0.283 0. 0.275 111.687




















Problem 770 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 150 150 67 89 127 196 0 298 136
normalized size 1 1. 0.45 0.59 0.85 1.31 0. 1.99 0.91
time (sec) N/A 0.232 0.091 0.007 0.742 0.285 0. 0.278 59.749




















Problem 771 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 42 57 45 77 0 68 42
normalized size 1 1. 0.78 1.06 0.83 1.43 0. 1.26 0.78
time (sec) N/A 0.042 0.031 0.002 0.737 0.281 0. 0.276 18.313




















Problem 772 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 99 99 87 0 0 0 0 0 95
normalized size 1 1. 0.88 0. 0. 0. 0. 0. 0.96
time (sec) N/A 0.168 0.095 0.134 0. 0. 0. 0. 35.377




















Problem 773 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 101 101 0 0 0 0 0 0 99
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.98
time (sec) N/A 0.158 0.079 0.139 0. 0. 0. 0. 35.475




















Problem 774 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 105 105 0 0 0 0 0 0 104
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.99
time (sec) N/A 0.173 0.097 0.156 0. 0. 0. 0. 39.023




















Problem 775 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 105 105 234 0 0 0 0 0 94
normalized size 1 1. 2.23 0. 0. 0. 0. 0. 0.9
time (sec) N/A 0.214 0.621 0.112 0. 0. 0. 0. 46.422




















Problem 776 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 105 105 93 0 0 0 0 0 94
normalized size 1 1. 0.89 0. 0. 0. 0. 0. 0.9
time (sec) N/A 0.208 0.104 0.114 0. 0. 0. 0. 46.532




















Problem 777 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 91 0 0 0 0 0 92
normalized size 1 1. 0.88 0. 0. 0. 0. 0. 0.89
time (sec) N/A 0.204 0.092 0.115 0. 0. 0. 0. 47.076




















Problem 778 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 91 0 0 0 0 0 95
normalized size 1 1. 0.88 0. 0. 0. 0. 0. 0.92
time (sec) N/A 0.204 0.087 0.114 0. 0. 0. 0. 46.442




















Problem 779 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 105 105 93 0 0 0 0 0 99
normalized size 1 1. 0.89 0. 0. 0. 0. 0. 0.94
time (sec) N/A 0.207 0.105 0.115 0. 0. 0. 0. 46.551




















Problem 780 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 65 65 53 64 66 89 0 108 54
normalized size 1 1. 0.82 0.98 1.02 1.37 0. 1.66 0.83
time (sec) N/A 0.123 0.046 0.006 0.709 0.28 0. 0.278 40.436




















Problem 781 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 64 0 43 47 0 0 73
normalized size 1 1. 0.82 0. 0.55 0.6 0. 0. 0.94
time (sec) N/A 0.326 0.055 0.311 0.721 0.274 0. 0. 174.401




















Problem 782 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 213 222 157 0 0 0 0 0 202
normalized size 1 1.04 0.74 0. 0. 0. 0. 0. 0.95
time (sec) N/A 0.774 0.288 0.112 0. 0. 0. 0. 89.994




















Problem 783 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 501 501 380 641 936 1504 0 1 0
normalized size 1 1. 0.76 1.28 1.87 3. 0. 0. 0.
time (sec) N/A 2.277 0.588 0.014 0.773 0.285 0. 0.415 0.




















Problem 784 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 412 412 264 425 653 1061 0 1 418
normalized size 1 1. 0.64 1.03 1.58 2.58 0. 0. 1.01
time (sec) N/A 1.682 0.43 0.013 0.756 0.276 0. 0.391 139.16




















Problem 785 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 321 321 169 255 417 689 0 0 325
normalized size 1 1. 0.53 0.79 1.3 2.15 0. 0. 1.01
time (sec) N/A 1.2 0.271 0.013 0.737 0.271 0. 0. 95.142




















Problem 786 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 209 209 96 131 227 383 0 0 202
normalized size 1 1. 0.46 0.63 1.09 1.83 0. 0. 0.97
time (sec) N/A 0.544 0.13 0.006 0.725 0.269 0. 0. 54.741




















Problem 787 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 109 109 54 69 88 167 0 0 100
normalized size 1 1. 0.5 0.63 0.81 1.53 0. 0. 0.92
time (sec) N/A 0.174 0.056 0.005 0.721 0.264 0. 0. 32.362




















Problem 788 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 139 139 141 163 0 1 0 0 129
normalized size 1 1. 1.01 1.17 0. 0.01 0. 0. 0.93
time (sec) N/A 0.639 0.33 0.029 0. 0.285 0. 0. 58.189




















Problem 789 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 170 170 153 347 0 1 0 0 160
normalized size 1 1. 0.9 2.04 0. 0.01 0. 0. 0.94
time (sec) N/A 0.726 0.487 0.036 0. 0.29 0. 0. 65.465




















Problem 790 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 261 261 193 673 0 1 0 0 250
normalized size 1 1. 0.74 2.58 0. 0. 0. 0. 0.96
time (sec) N/A 1.071 0.979 0.05 0. 0.297 0. 0. 97.937




















Problem 791 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 351 351 245 1142 0 1 0 0 340
normalized size 1 1. 0.7 3.25 0. 0. 0. 0. 0.97
time (sec) N/A 1.652 1.7 0.051 0. 0.311 0. 0. 136.285




















Problem 792 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A C A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 324 324 229 602 554 1593 0 518 309
normalized size 1 1. 0.71 1.86 1.71 4.92 0. 1.6 0.95
time (sec) N/A 1.42 0.365 0.084 0.794 0.29 0. 0.318 169.637




















Problem 793 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A C A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 166 166 114 291 275 717 0 243 128
normalized size 1 1. 0.69 1.75 1.66 4.32 0. 1.46 0.77
time (sec) N/A 0.535 0.172 0.033 0.78 0.281 0. 0.292 44.772




















Problem 794 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A C A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 45 117 105 244 282 97 41
normalized size 1 1. 0.71 1.86 1.67 3.87 4.48 1.54 0.65
time (sec) N/A 0.132 0.061 0.023 0.768 0.273 55.151 0.286 16.306




















Problem 795 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A C F A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 282 282 455 1759 0 5823 0 0 284
normalized size 1 1. 1.61 6.24 0. 20.65 0. 0. 1.01
time (sec) N/A 0.993 1.156 0.14 0. 0.425 0. 0. 78.975




















Problem 796 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A C F F(-1) F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 571 571 800 41837 0 0 0 0 0
normalized size 1 1. 1.4 73.27 0. 0. 0. 0. 0.
time (sec) N/A 10.481 4.032 0.77 0. 0. 0. 0. 0.




















Problem 797 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A C A A F A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 276 276 226 755 549 1362 0 961 0
normalized size 1 1. 0.82 2.74 1.99 4.93 0. 3.48 0.
time (sec) N/A 1.022 0.977 0.053 0.775 0.301 0. 0.343 0.




















Problem 798 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A C A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 138 138 114 380 270 593 0 509 155
normalized size 1 1. 0.83 2.75 1.96 4.3 0. 3.69 1.12
time (sec) N/A 0.327 0.262 0.036 0.773 0.286 0. 0.304 97.21




















Problem 799 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A C A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 39 147 99 188 255 246 34
normalized size 1 1. 0.98 3.68 2.48 4.7 6.38 6.15 0.85
time (sec) N/A 0.101 0.123 0.026 0.776 0.282 91.982 0.293 15.844




















Problem 800 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A C F F(-1) F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 443 443 658 11142 0 0 0 0 0
normalized size 1 1. 1.49 25.15 0. 0. 0. 0. 0.
time (sec) N/A 3.214 1.605 0.13 0. 0. 0. 0. 0.




















Problem 801 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A C F F(-1) F(-1) F(-1) F(-1)
verified N/A NO NO TBD TBD TBD TBD TBD TBD
size 939 938 1656 108974 0 0 0 0 0
normalized size 1 1. 1.76 116.05 0. 0. 0. 0. 0.
time (sec) N/A 18.134 6.663 3.458 0. 0. 0. 0. 0.




















Problem 802 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 54 54 167 0 0 0 0 0 41
normalized size 1 1. 3.09 0. 0. 0. 0. 0. 0.76
time (sec) N/A 0.114 0.356 0.226 0. 0. 0. 0. 23.403




















Problem 803 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 89 89 0 0 0 0 0 0 71
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.8
time (sec) N/A 0.178 0.138 0.219 0. 0. 0. 0. 41.34




















Problem 804 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 92 92 0 0 0 0 0 0 75
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.82
time (sec) N/A 0.193 0.117 0.23 0. 0. 0. 0. 48.801




















Problem 805 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 275 275 577 2017 0 2743 0 1 274
normalized size 1 1. 2.1 7.33 0. 9.97 0. 0. 1.
time (sec) N/A 0.569 1.364 0.019 0. 0.313 0. 0.278 118.36




















Problem 806 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 208 208 348 1048 0 1515 11924 1 206
normalized size 1 1. 1.67 5.04 0. 7.28 57.33 0. 0.99
time (sec) N/A 0.408 0.563 0.015 0. 0.307 34.964 0.27 87.53




















Problem 807 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 146 146 190 449 0 741 4935 1 141
normalized size 1 1. 1.3 3.08 0. 5.08 33.8 0.01 0.97
time (sec) N/A 0.258 0.307 0.009 0. 0.301 14.981 0.267 54.519




















Problem 808 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 84 84 92 147 0 294 1530 558 78
normalized size 1 1. 1.1 1.75 0. 3.5 18.21 6.64 0.93
time (sec) N/A 0.121 0.115 0.007 0. 0.294 6.115 0.267 25.739




















Problem 809 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 114 114 125 0 0 0 0 0 90
normalized size 1 1. 1.1 0. 0. 0. 0. 0. 0.79
time (sec) N/A 0.302 0.558 0.065 0. 0. 0. 0. 35.314




















Problem 810 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 88 88 0 0 0 0 0 0 68
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.77
time (sec) N/A 0.195 0.18 0.076 0. 0. 0. 0. 29.123




















Problem 811 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 193 193 0 0 0 0 0 0 95
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.49
time (sec) N/A 0.468 0.233 0.109 0. 0. 0. 0. 37.296




















Problem 812 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 197 197 0 0 0 0 0 0 99
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.5
time (sec) N/A 0.514 0.283 0.161 0. 0. 0. 0. 38.834




















Problem 813 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 231 227 328 0 0 0 0 0 231
normalized size 1 0.98 1.42 0. 0. 0. 0. 0. 1.
time (sec) N/A 0.606 1.301 0.089 0. 0. 0. 0. 104.94




















Problem 814 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 83 83 85 142 117 134 420 0 0
normalized size 1 1. 1.02 1.71 1.41 1.61 5.06 0. 0.
time (sec) N/A 0.205 0.096 0.011 0.693 0.295 15.426 0. 0.




















Problem 815 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A A F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 184 184 177 444 344 423 989 0 0
normalized size 1 1. 0.96 2.41 1.87 2.3 5.38 0. 0.
time (sec) N/A 0.603 0.272 0.015 0.696 0.6 117.993 0. 0.




















Problem 816 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A F(-1) F(-2) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 531 531 476 1232 973 994 0 0 0
normalized size 1 1. 0.9 2.32 1.83 1.87 0. 0. 0.
time (sec) N/A 2.85 1.138 0.024 0.703 4.418 0. 0. 0.




















Problem 817 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) F(-1) F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 246 246 246 606 0 0 0 529 0
normalized size 1 1. 1. 2.46 0. 0. 0. 2.15 0.
time (sec) N/A 0.924 0.653 0.015 0. 0. 0. 0.268 0.




















Problem 818 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) F(-1) F(-1) F(-2) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 644 644 710 11490 0 0 0 0 0
normalized size 1 1. 1.1 17.84 0. 0. 0. 0. 0.
time (sec) N/A 5.938 5.479 0.082 0. 0. 0. 0. 0.




















Problem 819 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A A A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 287 287 412 540 579 579 1544 1 0
normalized size 1 1. 1.44 1.88 2.02 2.02 5.38 0. 0.
time (sec) N/A 1.021 1.041 0.011 0.699 0.293 110.025 0.268 0.




















Problem 820 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 212 212 256 315 352 351 1001 579 0
normalized size 1 1. 1.21 1.49 1.66 1.66 4.72 2.73 0.
time (sec) N/A 0.693 0.331 0.01 0.697 0.277 64.999 0.266 0.




















Problem 821 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 137 131 144 174 169 549 309 139
normalized size 1 1. 0.96 1.05 1.27 1.23 4.01 2.26 1.01
time (sec) N/A 0.25 0.192 0.006 0.691 0.271 32.741 0.263 38.118




















Problem 822 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 54 53 104 73 223 116 68
normalized size 1 1. 0.74 0.73 1.42 1. 3.05 1.59 0.93
time (sec) N/A 0.089 0.049 0.006 0.689 0.269 7.707 0.265 14.437




















Problem 823 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 116 116 104 189 0 1 257 173 107
normalized size 1 1. 0.9 1.63 0. 0.01 2.22 1.49 0.92
time (sec) N/A 0.338 0.158 0.014 0. 0.285 30.853 0.265 80.066




















Problem 824 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-2) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 140 140 133 371 0 1 0 236 144
normalized size 1 1. 0.95 2.65 0. 0.01 0. 1.69 1.03
time (sec) N/A 0.603 0.448 0.022 0. 0.294 0. 0.267 128.764




















Problem 825 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 206 206 191 538 0 1 0 504 0
normalized size 1 1. 0.93 2.61 0. 0. 0. 2.45 0.
time (sec) N/A 0.884 0.639 0.026 0. 0.294 0. 0.274 0.




















Problem 826 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B A A F A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 285 285 406 540 590 578 0 903 0
normalized size 1 1. 1.42 1.89 2.07 2.03 0. 3.17 0.
time (sec) N/A 1.008 0.752 0.01 0.697 0.272 0. 0.277 0.




















Problem 827 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 210 210 252 315 363 350 0 545 0
normalized size 1 1. 1.2 1.5 1.73 1.67 0. 2.6 0.
time (sec) N/A 0.709 0.342 0.011 0.699 0.272 0. 0.272 0.




















Problem 828 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 135 135 128 144 185 169 2720 275 138
normalized size 1 1. 0.95 1.07 1.37 1.25 20.15 2.04 1.02
time (sec) N/A 0.239 0.16 0.008 0.696 0.269 26.13 0.271 38.081




















Problem 829 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 71 71 54 53 89 72 590 100 70
normalized size 1 1. 0.76 0.75 1.25 1.01 8.31 1.41 0.99
time (sec) N/A 0.088 0.054 0.005 0.684 0.269 11.085 0.264 14.531




















Problem 830 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 122 122 118 237 0 1 0 151 0
normalized size 1 1. 0.97 1.94 0. 0.01 0. 1.24 0.
time (sec) N/A 0.482 0.406 0.019 0. 0.284 0. 0.269 0.




















Problem 831 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 165 165 155 418 0 1 0 381 0
normalized size 1 1. 0.94 2.53 0. 0.01 0. 2.31 0.
time (sec) N/A 0.773 0.877 0.03 0. 0.292 0. 0.277 0.




















Problem 832 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 247 247 223 847 0 1 0 624 0
normalized size 1 1. 0.9 3.43 0. 0. 0. 2.53 0.
time (sec) N/A 1.343 2.162 0.034 0. 0.301 0. 0.279 0.




















Problem 833 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A B A B F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 91 191 143 226 0 308 0 0 187
normalized size 1 2.1 1.57 2.48 0. 3.38 0. 0. 2.05
time (sec) N/A 0.298 0.776 0.094 0. 0.297 0. 0. 33.414




















Problem 834 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 164 164 154 425 0 1 0 242 199
normalized size 1 1. 0.94 2.59 0. 0.01 0. 1.48 1.21
time (sec) N/A 0.413 0.208 0.032 0. 1.474 0. 0.288 37.912




















Problem 835 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 333 333 306 1207 0 1 0 605 434
normalized size 1 1. 0.92 3.62 0. 0. 0. 1.82 1.3
time (sec) N/A 0.788 0.573 0.041 0. 1.805 0. 0.3 74.448




















Problem 836 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 246 246 212 763 0 1 0 393 318
normalized size 1 1. 0.86 3.1 0. 0. 0. 1.6 1.29
time (sec) N/A 0.585 0.297 0.03 0. 1.371 0. 0.291 51.914




















Problem 837 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 164 164 154 425 0 1 0 242 199
normalized size 1 1. 0.94 2.59 0. 0.01 0. 1.48 1.21
time (sec) N/A 0.377 0.174 0. 0. 1.497 0. 0.287 38.962




















Problem 838 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 129 129 136 697 0 1 0 4 182
normalized size 1 1. 1.05 5.4 0. 0.01 0. 0.03 1.41
time (sec) N/A 0.333 0.342 0.037 0. 1.633 0. 0.592 40.844




















Problem 839 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 160 160 157 773 0 1 0 4 207
normalized size 1 1. 0.98 4.83 0. 0.01 0. 0.02 1.29
time (sec) N/A 0.426 0.347 0.038 0. 1.621 0. 0.601 48.201




















Problem 840 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 198 198 178 238 0 477 0 1 275
normalized size 1 1. 0.9 1.2 0. 2.41 0. 0.01 1.39
time (sec) N/A 0.513 0.474 0.012 0. 1.591 0. 0.387 62.5




















Problem 841 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 281 281 230 468 0 865 0 1 389
normalized size 1 1. 0.82 1.67 0. 3.08 0. 0. 1.38
time (sec) N/A 0.7 1.697 0.014 0. 2.46 0. 0.482 88.082




















Problem 842 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 249 249 180 834 0 1 0 320 311
normalized size 1 1. 0.72 3.35 0. 0. 0. 1.29 1.25
time (sec) N/A 0.607 0.264 0.048 0. 0.715 0. 0.301 69.546




















Problem 843 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 240 240 202 571 0 1 0 1 396
normalized size 1 1. 0.84 2.38 0. 0. 0. 0. 1.65
time (sec) N/A 0.486 0.223 0.049 0. 0.344 0. 0.381 75.985




















Problem 844 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 176 176 159 392 0 1 0 602 287
normalized size 1 1. 0.9 2.23 0. 0.01 0. 3.42 1.63
time (sec) N/A 0.373 0.149 0.03 0. 0.314 0. 0.332 54.633




















Problem 845 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 122 122 115 247 0 1 0 196 184
normalized size 1 1. 0.94 2.02 0. 0.01 0. 1.61 1.51
time (sec) N/A 0.287 0.109 0.035 0. 0.318 0. 0.285 43.061




















Problem 846 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 108 108 112 438 0 1 0 261 139
normalized size 1 1. 1.04 4.06 0. 0.01 0. 2.42 1.29
time (sec) N/A 0.273 0.206 0.049 0. 0.391 0. 0.299 45.332




















Problem 847 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 116 116 111 601 0 1 0 294 150
normalized size 1 1. 0.96 5.18 0. 0.01 0. 2.53 1.29
time (sec) N/A 0.278 0.241 0.04 0. 0.451 0. 0.313 49.17




















Problem 848 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 133 133 110 150 0 396 0 455 207
normalized size 1 1. 0.83 1.13 0. 2.98 0. 3.42 1.56
time (sec) N/A 0.322 0.171 0.014 0. 0.408 0. 0.319 58.137




















Problem 849 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 189 189 148 248 0 657 0 707 308
normalized size 1 1. 0.78 1.31 0. 3.48 0. 3.74 1.63
time (sec) N/A 0.448 0.366 0.017 0. 0.782 0. 0.362 80.907




















Problem 850 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B F F(-1) F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 417 417 1319 11688 0 0 0 4 0
normalized size 1 1. 3.16 28.03 0. 0. 0. 0.01 0.
time (sec) N/A 5.753 6.212 0.174 0. 0. 0. 0.637 0.




















Problem 851 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B F A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 285 285 925 5484 0 6036 0 0 267
normalized size 1 1. 3.25 19.24 0. 21.18 0. 0. 0.94
time (sec) N/A 1.197 4.752 0.06 0. 40.961 0. 0. 178.437




















Problem 852 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B F F(-1) F F(-2) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 287 287 1000 5507 0 0 0 0 0
normalized size 1 1. 3.48 19.19 0. 0. 0. 0. 0.
time (sec) N/A 1.055 6.239 0.072 0. 0. 0. 0. 0.




















Problem 853 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B F F(-1) F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 429 429 1011 47349 0 0 0 0 0
normalized size 1 1. 2.36 110.37 0. 0. 0. 0. 0.
time (sec) N/A 3.354 2.845 0.266 0. 0. 0. 0. 0.




















Problem 854 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) F(-1) F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 532 532 553 3941 0 0 0 0 578
normalized size 1 1. 1.04 7.41 0. 0. 0. 0. 1.09
time (sec) N/A 3.341 1.923 0.048 0. 0. 0. 0. 153.488




















Problem 855 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) F(-1) F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 325 325 356 2602 0 0 0 0 366
normalized size 1 1. 1.1 8.01 0. 0. 0. 0. 1.13
time (sec) N/A 1.472 0.795 0.022 0. 0. 0. 0. 113.029




















Problem 856 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) F(-1) F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 219 219 253 1559 0 0 0 0 211
normalized size 1 1. 1.16 7.12 0. 0. 0. 0. 0.96
time (sec) N/A 0.712 0.85 0.012 0. 0. 0. 0. 101.168




















Problem 857 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 152 152 169 715 0 1 0 0 138
normalized size 1 1. 1.11 4.7 0. 0.01 0. 0. 0.91
time (sec) N/A 0.337 0.556 0.007 0. 1.345 0. 0. 54.487




















Problem 858 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) F(-1) F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 228 228 299 1529 0 0 0 0 199
normalized size 1 1. 1.31 6.71 0. 0. 0. 0. 0.87
time (sec) N/A 0.683 0.653 0.037 0. 0. 0. 0. 96.734




















Problem 859 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F F(-1) F(-1) F(-2) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 490 490 294 3162 0 0 0 0 0
normalized size 1 1. 0.6 6.45 0. 0. 0. 0. 0.
time (sec) N/A 1.51 0.553 0.029 0. 0. 0. 0. 0.




















Problem 860 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F F(-1) F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 673 673 523 6714 0 0 0 4 0
normalized size 1 1. 0.78 9.98 0. 0. 0. 0.01 0.
time (sec) N/A 2.082 2.994 0.032 0. 0. 0. 1.601 0.




















Problem 861 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F F(-2) F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 933 933 1421 11995 0 0 0 4 0
normalized size 1 1. 1.52 12.86 0. 0. 0. 0. 0.
time (sec) N/A 2.996 6.935 0.039 0. 0. 0. 14.254 0.




















Problem 862 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) F(-1) F(-1) F(-2) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 1098 1098 1968 10058 0 0 0 0 0
normalized size 1 1. 1.79 9.16 0. 0. 0. 0. 0.
time (sec) N/A 8.09 6.708 0.042 0. 0. 0. 0. 0.




















Problem 863 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) F(-1) F(-1) F(-2) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 662 662 740 6860 0 0 0 0 0
normalized size 1 1. 1.12 10.36 0. 0. 0. 0. 0.
time (sec) N/A 3.461 3.615 0.026 0. 0. 0. 0. 0.




















Problem 864 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) F(-1) F(-1) F(-2) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 441 441 449 4188 0 0 0 0 0
normalized size 1 1. 1.02 9.5 0. 0. 0. 0. 0.
time (sec) N/A 1.688 1.422 0.014 0. 0. 0. 0. 0.




















Problem 865 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) F(-1) F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 252 252 255 1946 0 0 0 0 240
normalized size 1 1. 1.01 7.72 0. 0. 0. 0. 0.95
time (sec) N/A 0.76 0.412 0.008 0. 0. 0. 0. 119.964




















Problem 866 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) F(-1) F F(-2) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 491 491 410 4226 0 0 0 0 0
normalized size 1 1. 0.84 8.61 0. 0. 0. 0. 0.
time (sec) N/A 1.76 0.85 0.025 0. 0. 0. 0. 0.




















Problem 867 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F F(-1) F(-1) F(-2) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 787 787 441 7959 0 0 0 0 0
normalized size 1 1. 0.56 10.11 0. 0. 0. 0. 0.
time (sec) N/A 3.085 1.76 0.032 0. 0. 0. 0. 0.




















Problem 868 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F F(-1) F(-1) F(-2) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 1066 1066 690 15927 0 0 0 0 0
normalized size 1 1. 0.65 14.94 0. 0. 0. 0. 0.
time (sec) N/A 4.02 2.116 0.04 0. 0. 0. 0. 0.




















Problem 869 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) F(-1) F(-1) F(-2) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 886 886 749 9052 0 0 0 0 0
normalized size 1 1. 0.85 10.22 0. 0. 0. 0. 0.
time (sec) N/A 3.888 3.081 0.034 0. 0. 0. 0. 0.




















Problem 870 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) F(-1) F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 431 431 402 1597 0 0 0 0 524
normalized size 1 1. 0.93 3.71 0. 0. 0. 0. 1.22
time (sec) N/A 2.304 1.619 0.035 0. 0. 0. 0. 135.431




















Problem 871 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) F(-1) F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 270 270 269 1007 0 0 0 0 332
normalized size 1 1. 1. 3.73 0. 0. 0. 0. 1.23
time (sec) N/A 1.239 0.633 0.022 0. 0. 0. 0. 94.193




















Problem 872 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) F(-1) F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 176 176 204 613 0 0 0 0 194
normalized size 1 1. 1.16 3.48 0. 0. 0. 0. 1.1
time (sec) N/A 0.591 0.349 0.019 0. 0. 0. 0. 59.664




















Problem 873 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 131 131 167 349 0 1 0 0 117
normalized size 1 1. 1.27 2.66 0. 0.01 0. 0. 0.89
time (sec) N/A 0.236 0.319 0.011 0. 28.557 0. 0. 36.423




















Problem 874 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 79 79 84 157 0 1 0 97 73
normalized size 1 1. 1.06 1.99 0. 0.01 0. 1.23 0.92
time (sec) N/A 0.09 0.076 0.007 0. 0.356 0. 0.275 17.316




















Problem 875 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F(-2) A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 182 182 222 327 0 1 0 0 162
normalized size 1 1. 1.22 1.8 0. 0.01 0. 0. 0.89
time (sec) N/A 0.493 0.868 0.022 0. 124.009 0. 0. 64.146




















Problem 876 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 340 340 343 788 0 1 0 0 304
normalized size 1 1. 1.01 2.32 0. 0. 0. 0. 0.89
time (sec) N/A 0.903 1.585 0.026 0. 9.735 0. 0. 101.24




















Problem 877 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F F(-1) F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 587 587 835 1817 0 0 0 4 0
normalized size 1 1. 1.42 3.1 0. 0. 0. 0.01 0.
time (sec) N/A 1.856 6.929 0.03 0. 0. 0. 1.475 0.




















Problem 878 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) F(-1) F(-1) F(-2) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 496 496 587 4453 0 0 0 0 0
normalized size 1 1. 1.18 8.98 0. 0. 0. 0. 0.
time (sec) N/A 2.328 5.971 0.035 0. 0. 0. 0. 0.




















Problem 879 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) F(-1) F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 357 357 373 3127 0 0 0 0 376
normalized size 1 1. 1.04 8.76 0. 0. 0. 0. 1.05
time (sec) N/A 1.179 1.586 0.022 0. 0. 0. 0. 143.946




















Problem 880 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 240 240 265 2123 0 1 0 1022 240
normalized size 1 1. 1.1 8.85 0. 0. 0. 4.26 1.
time (sec) N/A 0.655 0.987 0.021 0. 2.033 0. 0.283 103.567




















Problem 881 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 187 187 217 1261 0 1 0 767 180
normalized size 1 1. 1.16 6.74 0. 0.01 0. 4.1 0.96
time (sec) N/A 0.326 0.546 0.014 0. 2.01 0. 0.282 55.551




















Problem 882 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 155 155 207 603 0 1 0 603 146
normalized size 1 1. 1.34 3.89 0. 0.01 0. 3.89 0.94
time (sec) N/A 0.239 0.699 0.009 0. 0.663 0. 0.281 45.981




















Problem 883 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F F(-1) F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 352 352 393 1343 0 0 0 0 318
normalized size 1 1. 1.12 3.82 0. 0. 0. 0. 0.9
time (sec) N/A 1.011 2.755 0.026 0. 0. 0. 0. 152.818




















Problem 884 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F F(-2) F(-1) F(-2) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 642 642 575 2807 0 0 0 0 0
normalized size 1 1. 0.9 4.37 0. 0. 0. 0. 0.
time (sec) N/A 2.029 9.43 0.034 0. 0. 0. 0. 0.




















Problem 885 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F F(-1) F(-1) F(-2) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 1064 1064 1288 5459 0 0 0 0 0
normalized size 1 1. 1.21 5.13 0. 0. 0. 0. 0.
time (sec) N/A 5.066 14.466 0.054 0. 0. 0. 0. 0.




















Problem 886 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F(-1) F(-1)
verified N/A NO NO TBD TBD TBD TBD TBD TBD
size 1551 1551 32331 32647 0 0 0 0 0
normalized size 1 1. 20.85 21.05 0. 0. 0. 0. 0.
time (sec) N/A 17.555 22.323 0.239 0. 0. 0. 0. 0.




















Problem 887 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F(-1) F(-1)
verified N/A NO NO TBD TBD TBD TBD TBD TBD
size 1015 1015 15781 20224 0 0 0 0 0
normalized size 1 1. 15.55 19.93 0. 0. 0. 0. 0.
time (sec) N/A 8.277 18.219 0.078 0. 0. 0. 0. 0.




















Problem 888 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 652 652 8432 10711 0 0 0 0 0
normalized size 1 1. 12.93 16.43 0. 0. 0. 0. 0.
time (sec) N/A 2.476 15.324 0.051 0. 0. 0. 0. 0.




















Problem 889 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 513 513 3384 4356 0 0 0 0 0
normalized size 1 1. 6.6 8.49 0. 0. 0. 0. 0.
time (sec) N/A 1.337 13.303 0.035 0. 0. 0. 0. 0.




















Problem 890 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 764 969 35245 6812 0 0 0 0 0
normalized size 1 1.27 46.13 8.92 0. 0. 0. 0. 0.
time (sec) N/A 8.971 17.472 0.06 0. 0. 0. 0. 0.




















Problem 891 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F(-1) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 743 934 16573 16696 0 0 0 0 0
normalized size 1 1.26 22.31 22.47 0. 0. 0. 0. 0.
time (sec) N/A 7.751 15.388 0.08 0. 0. 0. 0. 0.




















Problem 892 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F(-1) F(-1) F(-1) F
verified N/A NO NO TBD TBD TBD TBD TBD TBD
size 1034 1705 33765 55360 0 0 0 0 0
normalized size 1 1.65 32.65 53.54 0. 0. 0. 0. 0.
time (sec) N/A 18.667 19.89 0.146 0. 0. 0. 0. 0.




















Problem 893 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F(-1) F(-1) F(-1)
verified N/A NO NO TBD TBD TBD TBD TBD TBD
size 1098 1098 17771 22215 0 0 0 0 0
normalized size 1 1. 16.18 20.23 0. 0. 0. 0. 0.
time (sec) N/A 10.509 18.618 0.102 0. 0. 0. 0. 0.




















Problem 894 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 755 755 10030 12923 0 0 0 0 0
normalized size 1 1. 13.28 17.12 0. 0. 0. 0. 0.
time (sec) N/A 3.974 15.982 0.063 0. 0. 0. 0. 0.




















Problem 895 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 519 519 4921 6207 0 0 0 0 0
normalized size 1 1. 9.48 11.96 0. 0. 0. 0. 0.
time (sec) N/A 1.348 13.973 0.045 0. 0. 0. 0. 0.




















Problem 896 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 444 444 591 1854 0 0 0 0 418
normalized size 1 1. 1.33 4.18 0. 0. 0. 0. 0.94
time (sec) N/A 0.963 11.859 0.032 0. 0. 0. 0. 157.082




















Problem 897 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 700 700 16471 3126 0 0 0 0 0
normalized size 1 1. 23.53 4.47 0. 0. 0. 0. 0.
time (sec) N/A 5.397 14.235 0.047 0. 0. 0. 0. 0.




















Problem 898 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F(-1) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 736 957 6911 13872 0 0 0 0 0
normalized size 1 1.3 9.39 18.85 0. 0. 0. 0. 0.
time (sec) N/A 7.707 14.2 0.062 0. 0. 0. 0. 0.




















Problem 899 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F(-1) F F(-1) F
verified N/A NO NO TBD TBD TBD TBD TBD TBD
size 1049 1747 36617 57835 0 0 0 0 0
normalized size 1 1.67 34.91 55.13 0. 0. 0. 0. 0.
time (sec) N/A 18.686 19.813 0.142 0. 0. 0. 0. 0.




















Problem 900 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 774 774 10649 14978 0 0 0 0 0
normalized size 1 1. 13.76 19.35 0. 0. 0. 0. 0.
time (sec) N/A 4.465 16.258 0.086 0. 0. 0. 0. 0.




















Problem 901 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 567 567 5536 8248 0 0 0 0 0
normalized size 1 1. 9.76 14.55 0. 0. 0. 0. 0.
time (sec) N/A 2.047 14.333 0.065 0. 0. 0. 0. 0.




















Problem 902 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 452 452 766 3805 0 0 0 0 0
normalized size 1 1. 1.69 8.42 0. 0. 0. 0. 0.
time (sec) N/A 1.106 10.584 0.051 0. 0. 0. 0. 0.




















Problem 903 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 188 188 365 747 0 0 0 0 177
normalized size 1 1. 1.94 3.97 0. 0. 0. 0. 0.94
time (sec) N/A 0.247 1.291 0.044 0. 0. 0. 0. 42.495




















Problem 904 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F(-1) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 467 467 379 834 0 0 0 0 440
normalized size 1 1. 0.81 1.79 0. 0. 0. 0. 0.94
time (sec) N/A 4.52 1.515 0.057 0. 0. 0. 0. 148.005




















Problem 905 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 994 994 18563 13017 0 0 0 0 0
normalized size 1 1. 18.68 13.1 0. 0. 0. 0. 0.
time (sec) N/A 8.64 14.944 0.074 0. 0. 0. 0. 0.




















Problem 906 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F(-1) F(-1) F F
verified N/A NO NO TBD TBD TBD TBD TBD TBD
size 1786 1786 36634 59522 0 0 0 0 0
normalized size 1 1. 20.51 33.33 0. 0. 0. 0. 0.
time (sec) N/A 19.5 20.658 0.193 0. 0. 0. 0. 0.




















Problem 907 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B F F(-1) F F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 675 675 2358 1879 0 0 0 0 0
normalized size 1 1. 3.49 2.78 0. 0. 0. 0. 0.
time (sec) N/A 4.725 6.364 0.057 0. 0. 0. 0. 0.




















Problem 908 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F(-1) F(-1) F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 1138 1138 37137 7464 0 0 0 0 0
normalized size 1 1. 32.63 6.56 0. 0. 0. 0. 0.
time (sec) N/A 6.032 18.56 0.068 0. 0. 0. 0. 0.




















Problem 909 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 631 631 12746 8755 0 0 0 0 0
normalized size 1 1. 20.2 13.87 0. 0. 0. 0. 0.
time (sec) N/A 2.35 14.664 0.079 0. 0. 0. 0. 0.




















Problem 910 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 479 479 6194 4295 0 0 0 0 0
normalized size 1 1. 12.93 8.97 0. 0. 0. 0. 0.
time (sec) N/A 1.543 13.558 0.064 0. 0. 0. 0. 0.




















Problem 911 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 393 393 814 1014 0 0 0 0 369
normalized size 1 1. 2.07 2.58 0. 0. 0. 0. 0.94
time (sec) N/A 0.791 10.247 0.054 0. 0. 0. 0. 116.989




















Problem 912 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 189 189 308 287 0 0 0 0 178
normalized size 1 1. 1.63 1.52 0. 0. 0. 0. 0.94
time (sec) N/A 0.279 1.392 0.048 0. 0. 0. 0. 50.613




















Problem 913 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F(-1) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 280 280 499 330 0 0 0 0 262
normalized size 1 1. 1.78 1.18 0. 0. 0. 0. 0.94
time (sec) N/A 4.031 2.282 0.057 0. 0. 0. 0. 32.887




















Problem 914 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F(-1) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 1037 1037 10881 14048 0 0 0 0 0
normalized size 1 1. 10.49 13.55 0. 0. 0. 0. 0.
time (sec) N/A 9.417 15.258 0.096 0. 0. 0. 0. 0.




















Problem 915 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F(-1) F(-1) F F
verified N/A NO NO TBD TBD TBD TBD TBD TBD
size 1114 1762 40396 64947 0 0 0 0 0
normalized size 1 1.58 36.26 58.3 0. 0. 0. 0. 0.
time (sec) N/A 19.821 21.904 0.314 0. 0. 0. 0. 0.




















Problem 916 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F(-1) F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 553 553 1061 4757 0 0 0 0 0
normalized size 1 1. 1.92 8.6 0. 0. 0. 0. 0.
time (sec) N/A 4.9 11.431 0.106 0. 0. 0. 0. 0.




















Problem 917 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C B F F(-1) F F F(-1)
verified N/A NO NO TBD TBD TBD TBD TBD TBD
size 1125 1125 14762 27601 0 0 0 0 0
normalized size 1 1. 13.12 24.53 0. 0. 0. 0. 0.
time (sec) N/A 7.123 18.266 0.202 0. 0. 0. 0. 0.




















Problem 918 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B A F F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 475 475 2493 645 0 0 0 0 0
normalized size 1 1. 5.25 1.36 0. 0. 0. 0. 0.
time (sec) N/A 0.883 13.57 0.192 0. 0. 0. 0. 0.




















Problem 919 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A A F F F F F(-1)
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 588 589 375 605 0 0 0 0 0
normalized size 1 1. 0.64 1.03 0. 0. 0. 0. 0.
time (sec) N/A 2.448 6.055 0.114 0. 0. 0. 0. 0.




















Problem 920 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 220 220 440 1347 0 1864 15734 1 230
normalized size 1 1. 2. 6.12 0. 8.47 71.52 0. 1.05
time (sec) N/A 0.509 0.886 0.017 0. 0.314 52.675 0.269 122.246




















Problem 921 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 144 144 190 503 0 828 5846 1 141
normalized size 1 1. 1.32 3.49 0. 5.75 40.6 0.01 0.98
time (sec) N/A 0.29 0.364 0.009 0. 0.312 16.98 0.266 57.313




















Problem 922 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 129 129 166 0 0 0 0 0 107
normalized size 1 1. 1.29 0. 0. 0. 0. 0. 0.83
time (sec) N/A 0.4 1.159 0.062 0. 0. 0. 0. 41.764




















Problem 923 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 157 157 0 0 0 0 0 0 126
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.8
time (sec) N/A 0.533 0.21 0.083 0. 0. 0. 0. 42.921




















Problem 924 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 245 243 0 0 0 0 0 0 155
normalized size 1 0.99 0. 0. 0. 0. 0. 0. 0.63
time (sec) N/A 0.847 0.287 0.11 0. 0. 0. 0. 51.278




















Problem 925 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B B F(-2) A F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 525 525 1263 5890 0 6408 0 1 0
normalized size 1 1. 2.41 11.22 0. 12.21 0. 0. 0.
time (sec) N/A 1.939 4.335 0.026 0. 0.349 0. 0.299 0.




















Problem 926 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A B F(-2) A F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 311 311 593 2563 0 3197 0 1 0
normalized size 1 1. 1.91 8.24 0. 10.28 0. 0. 0.
time (sec) N/A 0.984 1.701 0.019 0. 0.32 0. 0.28 0.




















Problem 927 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F F(-1) F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 287 287 733 0 0 0 0 0 0
normalized size 1 1. 2.55 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.926 6.934 0.125 0. 0. 0. 0. 0.




















Problem 928 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 298 298 0 0 0 0 0 0 277
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.93
time (sec) N/A 2.338 0.402 0.14 0. 0. 0. 0. 148.022




















Problem 929 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 461 461 0 0 0 0 0 0 265
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.57
time (sec) N/A 4.351 0.693 0.182 0. 0. 0. 0. 112.77




















Problem 930 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 183 183 568 0 0 0 0 0 144
normalized size 1 1. 3.1 0. 0. 0. 0. 0. 0.79
time (sec) N/A 0.434 1.438 0.269 0. 0. 0. 0. 26.481




















Problem 931 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A B F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 165 165 410 0 0 0 0 0 129
normalized size 1 1. 2.48 0. 0. 0. 0. 0. 0.78
time (sec) N/A 0.305 0.506 0.163 0. 0. 0. 0. 24.17




















Problem 932 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 147 147 188 0 0 0 0 0 114
normalized size 1 1. 1.28 0. 0. 0. 0. 0. 0.78
time (sec) N/A 0.296 0.834 0.15 0. 0. 0. 0. 22.476




















Problem 933 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 129 129 162 0 0 0 0 0 100
normalized size 1 1. 1.26 0. 0. 0. 0. 0. 0.78
time (sec) N/A 0.239 0.442 0.144 0. 0. 0. 0. 19.208




















Problem 934 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 117 117 144 0 0 0 0 0 95
normalized size 1 1. 1.23 0. 0. 0. 0. 0. 0.81
time (sec) N/A 0.245 0.237 0.144 0. 0. 0. 0. 16.844




















Problem 935 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 164 164 233 0 0 0 0 0 133
normalized size 1 1. 1.42 0. 0. 0. 0. 0. 0.81
time (sec) N/A 0.461 0.95 0.171 0. 0. 0. 0. 33.157




















Problem 936 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 199 199 284 0 0 0 0 0 163
normalized size 1 1. 1.43 0. 0. 0. 0. 0. 0.82
time (sec) N/A 0.489 3.969 0.171 0. 0. 0. 0. 35.517




















Problem 937 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 202 202 0 0 0 0 0 0 255
normalized size 1 1. 0. 0. 0. 0. 0. 0. 1.26
time (sec) N/A 0.554 0.209 0.17 0. 0. 0. 0. 58.545




















Problem 938 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 181 181 0 0 0 0 0 0 240
normalized size 1 1. 0. 0. 0. 0. 0. 0. 1.33
time (sec) N/A 0.553 0.174 0.176 0. 0. 0. 0. 56.655




















Problem 939 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 179 179 0 0 0 0 0 0 233
normalized size 1 1. 0. 0. 0. 0. 0. 0. 1.3
time (sec) N/A 0.508 0.16 0.165 0. 0. 0. 0. 53.805




















Problem 940 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 179 179 0 0 0 0 0 0 136
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.76
time (sec) N/A 0.468 0.095 0.157 0. 0. 0. 0. 34.595




















Problem 941 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 177 177 0 0 0 0 0 0 136
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.77
time (sec) N/A 0.413 0.037 0.155 0. 0. 0. 0. 31.833




















Problem 942 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 340 340 0 0 0 0 0 0 274
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.81
time (sec) N/A 1.01 0.14 0.177 0. 0. 0. 0. 62.158




















Problem 943 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 376 376 0 0 0 0 0 0 304
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.81
time (sec) N/A 1.079 0.143 0.18 0. 0. 0. 0. 64.426




















Problem 944 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 237 230 171 0 0 0 0 0 201
normalized size 1 0.97 0.72 0. 0. 0. 0. 0. 0.85
time (sec) N/A 0.838 0.283 0.048 0. 0. 0. 0. 70.895




















Problem 945 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F F(-1)
verified N/A NO N/A TBD TBD TBD TBD TBD TBD
size 509 506 0 0 0 0 0 0 0
normalized size 1 0.99 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 2.363 2.126 0.129 0. 0. 0. 0. 0.




















Problem 946 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A NO N/A TBD TBD TBD TBD TBD TBD
size 388 388 0 0 0 0 0 0 364
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.94
time (sec) N/A 1.403 1.578 0.099 0. 0. 0. 0. 93.153




















Problem 947 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 189 189 207 0 0 0 0 0 175
normalized size 1 1. 1.1 0. 0. 0. 0. 0. 0.93
time (sec) N/A 0.629 0.02 0.096 0. 0. 0. 0. 37.118




















Problem 948 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 32 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.12 0.09 0.113 0. 0. 0. 0. 0.




















Problem 949 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F F(-1)
verified N/A NO N/A TBD TBD TBD TBD TBD TBD
size 502 500 0 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 2.107 2.139 0.111 0. 0. 0. 0. 0.




















Problem 950 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A NO N/A TBD TBD TBD TBD TBD TBD
size 388 388 0 0 0 0 0 0 357
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.92
time (sec) N/A 1.416 1.388 0.101 0. 0. 0. 0. 95.757




















Problem 951 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 189 189 207 0 0 0 0 0 172
normalized size 1 1. 1.1 0. 0. 0. 0. 0. 0.91
time (sec) N/A 0.644 0.027 0.176 0. 0. 0. 0. 37.725




















Problem 952 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 32 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.126 0.102 0.125 0. 0. 0. 0. 0.




















Problem 953 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 265 263 327 0 0 0 0 0 230
normalized size 1 0.99 1.23 0. 0. 0. 0. 0. 0.87
time (sec) N/A 0.853 0.927 0.089 0. 0. 0. 0. 97.681




















Problem 954 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F F(-1)
verified N/A NO N/A TBD TBD TBD TBD TBD TBD
size 525 523 0 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 1.713 2.708 0.156 0. 0. 0. 0. 0.




















Problem 955 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A NO N/A TBD TBD TBD TBD TBD TBD
size 384 384 0 0 0 0 0 0 347
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.9
time (sec) N/A 0.884 1.993 0.135 0. 0. 0. 0. 99.026




















Problem 956 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A A F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 187 187 205 0 0 0 0 0 167
normalized size 1 1. 1.1 0. 0. 0. 0. 0. 0.89
time (sec) N/A 0.38 0.082 0.193 0. 0. 0. 0. 38.225




















Problem 957 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.071 0.164 0.148 0. 0. 0. 0. 0.




















Problem 958 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy










grade A A C A F F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 188 148 0 0 0 0 0
normalized size 1 1. 2.11 1.66 0. 0. 0. 0. 0.
time (sec) N/A 0.877 0.574 0.165 0. 0. 0. 0. 0.










2.2 Detailed conclusion table specific for Rubi results

The following table is specific to Rubi. It gives additional statistics for each integral. the column steps is the number of steps used by Rubi to obtain the antiderivative. The rules column is the number of unique rules used. The integrand size column is the leaf size of the integrand. Finally the ratio \(\frac{\text{number of rules}}{\text{integrand size}}\) is given. The larger this ratio is, the harder the integral was to solve. In this test, problem number [429] had the largest ratio of [ 0.75 ]

Table 1: Rubi specific breakdown of results for each integral














# grade
number of
steps
used
number of
unique
rules
normalized
antiderivative
leaf size
integrand
leaf size
\(\frac{\text{number of rules}}{\text{integrand leaf size}}\)







1 A 10 5 1. 25 0.2







2 A 8 5 1. 25 0.2







3 A 7 5 1. 25 0.2







4 A 12 5 1. 25 0.2







5 A 5 4 1. 23 0.174







6 A 5 4 1. 23 0.174







7 A 8 7 1. 25 0.28







8 A 8 8 1. 25 0.32







9 A 8 7 1. 25 0.28







10 A 8 8 1. 25 0.32







11 A 8 7 1. 25 0.28







12 A 6 5 1. 25 0.2







13 A 7 6 1. 25 0.24







14 A 8 6 1. 25 0.24







15 A 9 6 1. 25 0.24







16 A 8 5 1. 25 0.2







17 A 5 5 1. 25 0.2







18 A 3 3 1. 25 0.12







19 A 6 4 1. 25 0.16







20 A 6 4 1. 25 0.16







21 A 5 4 1. 25 0.16







22 A 4 3 1. 25 0.12







23 A 3 3 1. 25 0.12







24 A 3 3 1. 25 0.12







25 A 3 3 1. 23 0.13







26 A 3 3 1. 22 0.136







27 A 7 5 1. 25 0.2







28 A 7 5 1. 25 0.2







29 A 8 6 1. 25 0.24







30 A 4 4 1. 25 0.16







31 A 5 4 1. 25 0.16







32 A 4 4 1. 24 0.167







33 A 7 5 1. 27 0.185







34 A 6 5 1. 27 0.185







35 A 5 5 1. 27 0.185







36 A 4 4 1. 25 0.16







37 A 4 4 1. 24 0.167







38 A 7 7 1. 27 0.259







39 A 7 7 1. 27 0.259







40 A 5 5 1. 27 0.185







41 A 6 6 1. 27 0.222







42 A 7 6 1. 27 0.222







43 A 8 6 1. 27 0.222







44 A 6 5 1. 27 0.185







45 A 6 5 1. 27 0.185







46 A 3 2 1. 27 0.074







47 A 3 3 1. 27 0.111







48 A 3 3 1. 25 0.12







49 A 3 3 1. 24 0.125







50 A 7 6 1. 27 0.222







51 A 7 5 1. 27 0.185







52 A 8 6 1. 27 0.222







53 A 9 6 1. 27 0.222







54 A 5 4 1. 20 0.2







55 A 4 4 1. 20 0.2







56 A 3 3 1. 18 0.167







57 A 3 3 1. 17 0.176







58 A 6 6 1. 20 0.3







59 A 6 6 1. 20 0.3







60 A 5 5 1. 20 0.25







61 A 6 6 1. 20 0.3







62 A 7 6 1. 20 0.3







63 A 8 6 1. 20 0.3







64 A 9 8 1. 27 0.296







65 A 12 6 1. 27 0.222







66 A 11 6 1. 27 0.222







67 A 10 6 1. 27 0.222







68 A 9 6 1. 27 0.222







69 A 9 6 1. 25 0.24







70 A 8 5 1. 24 0.208







71 A 11 8 1. 27 0.296







72 A 11 9 1. 27 0.333







73 A 11 8 1. 27 0.296







74 A 11 9 1. 27 0.333







75 A 11 9 1. 27 0.333







76 A 11 8 1. 27 0.296







77 A 11 9 1. 27 0.333







78 A 11 9 1. 27 0.333







79 A 11 8 1. 27 0.296







80 A 9 6 1. 27 0.222







81 A 10 7 1. 27 0.259







82 A 11 7 1. 27 0.259







83 A 7 5 1. 27 0.185







84 A 6 4 1. 27 0.148







85 A 5 4 1. 27 0.148







86 A 3 3 1. 27 0.111







87 A 3 3 1. 25 0.12







88 A 4 3 1. 24 0.125







89 A 7 6 1. 27 0.222







90 A 7 5 1. 27 0.185







91 A 8 6 1. 27 0.222







92 A 7 5 1. 27 0.185







93 A 6 5 1. 27 0.185







94 A 6 6 1. 27 0.222







95 A 4 4 1. 25 0.16







96 A 3 3 1. 24 0.125







97 A 7 7 1. 27 0.259







98 A 5 5 1. 27 0.185







99 A 6 6 1. 27 0.222







100 A 7 6 1. 27 0.222







101 A 8 6 1. 27 0.222







102 A 7 7 1. 27 0.259







103 A 9 6 1. 27 0.222







104 A 8 6 1. 27 0.222







105 A 8 7 1. 27 0.259







106 A 6 5 1. 25 0.2







107 A 5 4 1. 24 0.167







108 A 9 8 1. 27 0.296







109 A 9 9 1. 27 0.333







110 A 9 8 1. 27 0.296







111 A 9 9 1. 27 0.333







112 A 9 8 1. 27 0.296







113 A 7 6 1. 27 0.222







114 A 8 7 1. 27 0.259







115 A 9 7 1. 27 0.259







116 A 10 7 1. 27 0.259







117 A 3 3 1. 18 0.167







118 A 7 7 1. 26 0.269







119 A 6 6 1. 27 0.222







120 A 5 5 1. 27 0.185







121 A 5 5 1. 27 0.185







122 A 3 3 1. 25 0.12







123 A 1 1 1. 24 0.042







124 A 5 5 1. 27 0.185







125 A 5 5 1. 27 0.185







126 A 6 6 1. 27 0.222







127 A 6 5 1. 27 0.185







128 A 6 5 1. 27 0.185







129 A 5 5 1. 27 0.185







130 A 3 3 1. 27 0.111







131 A 2 2 1. 25 0.08







132 A 2 2 1. 24 0.083







133 A 6 6 1. 27 0.222







134 A 6 6 1. 27 0.222







135 A 7 7 1. 27 0.259







136 A 7 5 1. 27 0.185







137 A 7 5 1. 27 0.185







138 A 6 5 1. 27 0.185







139 A 5 4 1. 27 0.148







140 A 4 4 1. 27 0.148







141 A 3 3 1. 27 0.111







142 A 3 3 1. 25 0.12







143 A 3 3 1. 24 0.125







144 A 7 6 1. 27 0.222







145 A 7 6 1. 27 0.222







146 A 8 7 1. 27 0.259







147 A 9 7 1. 27 0.259







148 A 5 5 1. 27 0.185







149 A 4 4 1. 27 0.148







150 A 4 4 1. 25 0.16







151 A 4 4 1. 25 0.16







152 A 2 2 1. 23 0.087







153 A 1 1 1. 22 0.045







154 A 5 5 1. 26 0.192







155 A 5 5 1. 26 0.192







156 A 6 6 1. 26 0.231







157 A 10 7 1. 27 0.259







158 A 9 7 1. 27 0.259







159 A 8 7 1. 27 0.259







160 A 7 7 1. 27 0.259







161 A 6 5 1. 25 0.2







162 A 6 6 1. 24 0.25







163 A 9 9 1. 27 0.333







164 A 9 9 1. 27 0.333







165 A 9 9 1. 27 0.333







166 A 9 9 1. 27 0.333







167 A 7 7 1. 27 0.259







168 A 8 8 1. 27 0.296







169 A 9 8 1. 27 0.296







170 A 10 8 1. 27 0.296







171 A 7 6 1. 27 0.222







172 A 4 3 1. 27 0.111







173 A 4 4 1. 27 0.148







174 A 3 3 1. 25 0.12







175 A 3 2 1. 24 0.083







176 A 8 7 1. 27 0.259







177 A 8 6 1. 27 0.222







178 A 9 7 1. 27 0.259







179 A 8 6 1. 27 0.222







180 A 7 5 1. 27 0.185







181 A 6 5 1. 27 0.185







182 A 4 4 1. 27 0.148







183 A 3 3 1. 25 0.12







184 A 3 2 1. 24 0.083







185 A 8 7 1. 27 0.259







186 A 8 6 1. 27 0.222







187 A 9 7 1. 27 0.259







188 A 9 6 1. 27 0.222







189 A 7 5 1. 27 0.185







190 A 9 7 1. 27 0.259







191 A 8 6 1. 27 0.222







192 A 2 2 1. 25 0.08







193 A 2 2 1. 24 0.083







194 A 8 7 1. 27 0.259







195 A 8 6 1. 27 0.222







196 A 9 7 1. 27 0.259







197 A 10 7 1. 27 0.259







198 A 11 6 1. 27 0.222







199 A 10 6 1. 27 0.222







200 A 9 6 1. 27 0.222







201 A 8 7 1. 27 0.259







202 A 6 6 1. 25 0.24







203 A 5 4 1. 24 0.167







204 A 9 9 1. 27 0.333







205 A 9 9 1. 27 0.333







206 A 7 7 1. 27 0.259







207 A 8 7 1. 27 0.259







208 A 9 7 1. 27 0.259







209 A 10 7 1. 27 0.259







210 A 7 5 1. 26 0.192







211 A 4 4 1. 26 0.154







212 A 9 5 1. 27 0.185







213 A 8 5 1. 27 0.185







214 A 7 4 1. 25 0.16







215 A 7 3 1. 24 0.125







216 A 12 7 1. 27 0.259







217 A 12 6 1. 27 0.222







218 A 4 4 1. 29 0.138







219 A 2 2 1. 29 0.069







220 A 3 3 1. 16 0.188







221 A 4 4 1. 29 0.138







222 A 3 3 1. 15 0.2







223 A 4 4 1. 30 0.133







224 A 4 3 1. 16 0.188







225 A 5 4 1. 29 0.138







226 A 7 4 1. 29 0.138







227 A 6 4 1. 29 0.138







228 A 5 3 1. 27 0.111







229 A 2 2 1. 22 0.091







230 A 8 5 1. 29 0.172







231 A 7 5 1. 29 0.172







232 A 8 5 1. 29 0.172







233 A 6 4 1. 29 0.138







234 A 6 4 1. 29 0.138







235 A 5 3 1.31 27 0.111







236 A 2 2 1. 22 0.091







237 A 8 5 1. 29 0.172







238 A 7 5 1. 29 0.172







239 A 7 5 1. 29 0.172







240 A 6 5 1. 23 0.217







241 A 6 5 1. 23 0.217







242 A 6 5 1. 23 0.217







243 A 6 5 1. 23 0.217







244 A 4 4 1. 21 0.19







245 A 3 3 1. 20 0.15







246 A 5 5 1. 23 0.217







247 A 5 5 1. 23 0.217







248 A 5 5 1. 23 0.217







249 A 7 6 1. 25 0.24







250 A 8 7 1. 25 0.28







251 A 7 6 1. 25 0.24







252 A 8 7 1. 25 0.28







253 A 7 6 1. 23 0.261







254 A 2 2 1. 22 0.091







255 A 7 7 1. 25 0.28







256 A 6 6 1. 25 0.24







257 A 6 6 1. 25 0.24







258 A 7 6 1. 25 0.24







259 A 7 6 1. 25 0.24







260 A 7 6 1. 25 0.24







261 A 7 6 1. 25 0.24







262 A 3 3 1. 23 0.13







263 A 2 2 1. 22 0.091







264 A 7 7 1. 25 0.28







265 A 8 8 1. 25 0.32







266 A 7 6 1. 25 0.24







267 A 7 6 1. 25 0.24







268 A 7 6 1. 25 0.24







269 A 7 6 1. 25 0.24







270 A 5 5 1. 23 0.217







271 A 2 2 1. 22 0.091







272 A 6 6 1. 25 0.24







273 A 6 6 1. 25 0.24







274 A 6 6 1. 25 0.24







275 A 8 7 1. 25 0.28







276 A 9 8 1. 25 0.32







277 A 8 7 1. 25 0.28







278 A 9 8 1. 25 0.32







279 A 3 3 1. 23 0.13







280 A 2 2 1. 22 0.091







281 A 8 8 1. 25 0.32







282 A 7 7 1. 25 0.28







283 A 7 7 1. 25 0.28







284 A 7 7 1. 25 0.28







285 A 7 7 1. 25 0.28







286 A 8 7 1. 25 0.28







287 A 8 7 1. 25 0.28







288 A 4 4 1. 25 0.16







289 A 3 3 1. 23 0.13







290 A 2 2 1. 22 0.091







291 A 8 8 1. 25 0.32







292 A 9 9 1. 25 0.36







293 A 8 7 1. 25 0.28







294 A 8 7 1. 25 0.28







295 A 8 7 1. 25 0.28







296 A 10 9 1. 25 0.36







297 A 5 4 1. 25 0.16







298 A 4 4 1. 25 0.16







299 A 3 3 1. 23 0.13







300 A 2 2 1. 22 0.091







301 A 9 9 1. 25 0.36







302 A 9 9 1. 25 0.36







303 A 10 9 1. 25 0.36







304 A 9 7 1. 25 0.28







305 A 9 7 1. 25 0.28







306 A 7 4 1. 27 0.148







307 A 6 4 1. 27 0.148







308 A 5 3 1. 25 0.12







309 A 2 2 1. 20 0.1







310 A 8 5 1. 27 0.185







311 A 7 5 1. 27 0.185







312 A 8 5 1. 27 0.185







313 A 6 4 1. 25 0.16







314 A 4 3 1. 27 0.111







315 A 11 7 1. 16 0.438







316 A 9 6 1. 22 0.273







317 A 8 6 1. 22 0.273







318 A 8 7 1. 22 0.318







319 A 6 5 1. 20 0.25







320 A 6 5 1. 19 0.263







321 A 9 8 1. 22 0.364







322 A 15 11 1. 22 0.5







323 A 19 12 1. 22 0.546







324 A 20 13 1. 22 0.591







325 A 25 14 1. 22 0.636







326 A 8 5 1. 22 0.227







327 A 7 5 1. 22 0.227







328 A 7 6 1. 22 0.273







329 A 5 4 1. 20 0.2







330 A 2 2 1. 19 0.105







331 A 7 6 1. 22 0.273







332 A 8 7 1. 22 0.318







333 A 12 8 1. 22 0.364







334 A 7 6 1. 22 0.273







335 A 6 5 1. 22 0.227







336 A 4 4 1. 22 0.182







337 A 4 4 1. 20 0.2







338 A 4 4 1. 19 0.21







339 A 10 9 1. 22 0.409







340 A 12 11 1. 22 0.5







341 A 17 12 1. 22 0.546







342 A 9 6 1. 22 0.273







343 A 8 6 1. 22 0.273







344 A 7 6 1. 22 0.273







345 A 6 5 1. 22 0.227







346 A 3 3 1. 20 0.15







347 A 3 3 1. 19 0.158







348 A 10 7 1. 22 0.318







349 A 11 8 1. 22 0.364







350 A 15 9 1. 22 0.409







351 A 2 1 1. 18 0.056







352 A 2 1 1. 16 0.062







353 A 2 1 1. 15 0.067







354 A 3 3 1. 18 0.167







355 A 2 1 1. 20 0.05







356 A 2 1 1. 18 0.056







357 A 2 1 1. 17 0.059







358 A 3 2 1. 20 0.1







359 A 2 1 1. 20 0.05







360 A 2 1 1. 18 0.056







361 A 2 1 1. 17 0.059







362 A 3 2 1. 20 0.1







363 A 6 3 1. 20 0.15







364 A 6 3 1. 20 0.15







365 A 6 3 1. 20 0.15







366 A 4 2 1. 18 0.111







367 A 4 2 1. 17 0.118







368 A 7 4 1. 20 0.2







369 A 7 4 1. 20 0.2







370 A 5 3 1. 20 0.15







371 A 5 3 1. 20 0.15







372 A 5 3 1. 20 0.15







373 A 5 3 1. 18 0.167







374 A 5 3 1. 17 0.176







375 A 12 5 1. 20 0.25







376 A 12 6 1. 20 0.3







377 A 6 5 0.94 22 0.227







378 A 4 4 0.91 20 0.2







379 A 6 3 1. 22 0.136







380 A 12 4 1. 22 0.182







381 A 6 5 1. 18 0.278







382 A 6 5 1. 18 0.278







383 A 6 5 1. 18 0.278







384 A 6 5 1. 18 0.278







385 A 4 4 1. 16 0.25







386 A 3 3 1. 15 0.2







387 A 5 5 1. 18 0.278







388 A 5 5 1. 18 0.278







389 A 5 5 1. 18 0.278







390 A 7 6 1. 20 0.3







391 A 8 7 0.95 20 0.35







392 A 7 6 1. 20 0.3







393 A 8 7 0.95 20 0.35







394 A 7 6 1. 18 0.333







395 A 4 4 0.94 17 0.235







396 A 7 7 1. 20 0.35







397 A 6 6 1. 20 0.3







398 A 6 6 1. 20 0.3







399 A 7 6 0.98 20 0.3







400 A 7 6 0.97 20 0.3







401 A 7 6 0.97 20 0.3







402 A 7 6 0.96 20 0.3







403 A 7 6 0.95 18 0.333







404 A 4 4 0.96 17 0.235







405 A 7 7 0.96 20 0.35







406 A 8 8 1. 20 0.4







407 A 7 6 1. 20 0.3







408 A 7 6 1. 20 0.3







409 A 6 6 1. 20 0.3







410 A 6 6 1. 20 0.3







411 A 9 8 1. 18 0.444







412 A 6 5 1. 17 0.294







413 A 7 7 1. 20 0.35







414 A 7 7 1. 20 0.35







415 A 8 8 1. 20 0.4







416 A 12 10 1. 20 0.5







417 A 11 10 1. 20 0.5







418 A 10 9 0.99 20 0.45







419 A 10 9 1. 18 0.5







420 A 8 7 0.78 17 0.412







421 A 18 11 1. 20 0.55







422 A 20 13 1. 20 0.65







423 A 12 10 1. 20 0.5







424 A 11 9 1. 20 0.45







425 A 11 10 1. 20 0.5







426 A 11 9 1. 18 0.5







427 A 11 9 1. 17 0.529







428 A 29 13 1. 20 0.65







429 A 31 15 1. 20 0.75







430 A 7 4 0.92 22 0.182







431 A 6 4 0.95 22 0.182







432 A 5 3 1. 20 0.15







433 A 2 2 1. 15 0.133







434 A 5 3 1. 22 0.136







435 A 8 3 1. 22 0.136







436 A 10 3 1. 22 0.136







437 A 6 5 1. 40 0.125







438 A 5 5 1. 40 0.125







439 A 4 4 1. 38 0.105







440 A 3 3 1. 37 0.081







441 A 6 5 1. 40 0.125







442 A 4 4 1. 40 0.1







443 A 5 5 1. 40 0.125







444 A 6 5 1. 40 0.125







445 A 7 5 1. 40 0.125







446 A 7 6 1. 40 0.15







447 A 6 6 1. 40 0.15







448 A 5 5 1. 38 0.132







449 A 4 4 1. 37 0.108







450 A 7 6 1. 40 0.15







451 A 7 6 1. 40 0.15







452 A 7 6 1. 40 0.15







453 A 5 5 1. 40 0.125







454 A 6 6 1. 40 0.15







455 A 7 6 1. 40 0.15







456 A 8 6 1. 40 0.15







457 A 8 6 1. 40 0.15







458 A 7 6 1. 40 0.15







459 A 6 5 1. 38 0.132







460 A 5 4 1. 37 0.108







461 A 8 6 1. 40 0.15







462 A 8 7 1. 40 0.175







463 A 8 6 1. 40 0.15







464 A 8 7 1. 40 0.175







465 A 8 6 1. 40 0.15







466 A 6 5 1. 40 0.125







467 A 7 6 1. 40 0.15







468 A 8 6 1. 40 0.15







469 A 9 6 1. 40 0.15







470 A 5 5 1.1 40 0.125







471 A 4 4 1. 40 0.1







472 A 3 3 1. 38 0.079







473 A 1 1 1. 37 0.027







474 A 5 5 1. 40 0.125







475 A 5 5 1. 40 0.125







476 A 6 6 1. 40 0.15







477 A 6 5 1. 40 0.125







478 A 6 5 1. 40 0.125







479 A 5 5 1. 40 0.125







480 A 3 3 1. 40 0.075







481 A 2 2 1. 38 0.053







482 A 2 2 1. 37 0.054







483 A 6 5 1. 40 0.125







484 A 6 5 1. 40 0.125







485 A 7 6 1. 40 0.15







486 A 8 6 1. 40 0.15







487 A 3 3 1. 40 0.075







488 A 4 4 1. 40 0.1







489 A 4 4 1. 23 0.174







490 A 1 1 1. 23 0.043







491 A 5 5 1. 21 0.238







492 A 3 3 1. 20 0.15







493 A 5 5 1. 23 0.217







494 A 5 5 1. 23 0.217







495 A 3 3 1. 23 0.13







496 A 5 4 1. 23 0.174







497 A 1 1 1. 23 0.043







498 A 6 5 1. 21 0.238







499 A 4 3 1. 20 0.15







500 A 6 5 1. 23 0.217







501 A 6 6 1. 23 0.261







502 A 4 4 1. 23 0.174







503 A 3 3 1. 23 0.13







504 A 1 1 1. 23 0.043







505 A 4 4 1. 21 0.19







506 A 2 2 1. 20 0.1







507 A 4 4 1. 23 0.174







508 A 5 5 1. 23 0.217







509 A 3 3 1. 23 0.13







510 A 3 3 1. 23 0.13







511 A 1 1 1. 23 0.043







512 A 5 5 1. 21 0.238







513 A 3 3 1. 20 0.15







514 A 5 5 1. 23 0.217







515 A 6 6 1. 23 0.261







516 A 4 4 1. 23 0.174







517 A 4 4 1. 23 0.174







518 A 1 1 1. 23 0.043







519 A 6 5 1. 21 0.238







520 A 4 3 1. 20 0.15







521 A 6 5 1. 23 0.217







522 A 7 6 1. 23 0.261







523 A 5 4 1. 23 0.174







524 A 7 6 1. 19 0.316







525 A 6 4 1. 25 0.16







526 A 6 4 1.22 25 0.16







527 A 6 4 1. 25 0.16







528 A 5 4 1. 23 0.174







529 A 4 3 1. 22 0.136







530 A 7 5 1. 25 0.2







531 A 9 6 0.97 25 0.24







532 A 12 6 1. 25 0.24







533 A 6 4 1. 25 0.16







534 A 6 4 1. 25 0.16







535 A 6 4 1. 25 0.16







536 A 6 4 1. 23 0.174







537 A 5 4 1. 22 0.182







538 A 7 5 1. 25 0.2







539 A 9 6 1. 25 0.24







540 A 12 6 1. 25 0.24







541 A 6 3 1. 23 0.13







542 A 4 2 1. 23 0.087







543 A 4 2 1. 23 0.087







544 A 4 2 1. 21 0.095







545 A 4 2 1. 20 0.1







546 A 7 4 1. 23 0.174







547 A 8 5 1. 23 0.217







548 A 3 2 1. 29 0.069







549 A 3 2 1. 29 0.069







550 A 3 2 1. 29 0.069







551 A 3 2 1. 27 0.074







552 A 5 3 1. 22 0.136







553 A 3 2 1. 29 0.069







554 A 4 3 1. 29 0.103







555 A 4 3 1. 29 0.103







556 A 4 3 1. 29 0.103







557 A 3 2 1. 29 0.069







558 A 3 2 1. 29 0.069







559 A 3 2 1. 29 0.069







560 A 3 2 1. 29 0.069







561 A 3 2 1. 29 0.069







562 A 3 2 1. 29 0.069







563 A 3 2 1. 27 0.074







564 A 2 2 1. 22 0.091







565 A 4 3 1. 29 0.103







566 A 4 3 1. 29 0.103







567 A 4 3 1. 29 0.103







568 A 4 3 1. 29 0.103







569 A 3 2 1. 29 0.069







570 A 3 2 1. 29 0.069







571 A 3 2 1. 29 0.069







572 A 3 2 1. 29 0.069







573 A 3 2 1. 29 0.069







574 A 4 3 1. 29 0.103







575 A 4 3 1. 27 0.111







576 A 3 3 1. 22 0.136







577 A 4 3 1. 29 0.103







578 A 4 3 1. 29 0.103







579 A 7 5 1. 31 0.161







580 A 6 4 1. 31 0.129







581 A 5 4 1. 31 0.129







582 A 3 3 1. 31 0.097







583 A 3 3 1. 29 0.103







584 A 4 3 1. 24 0.125







585 A 6 5 1. 31 0.161







586 A 6 4 1. 31 0.129







587 A 7 5 1. 31 0.161







588 A 4 3 1. 24 0.125







589 A 3 2 1. 24 0.083







590 A 3 2 1. 24 0.083







591 A 2 1 1. 22 0.045







592 A 2 1 1. 17 0.059







593 A 4 3 1. 24 0.125







594 A 4 4 1. 24 0.167







595 A 4 4 1. 24 0.167







596 A 3 2 1. 24 0.083







597 A 3 2 1. 24 0.083







598 A 2 1 1. 22 0.045







599 A 2 1 1. 17 0.059







600 A 4 3 1. 24 0.125







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602 A 5 5 1. 24 0.208







603 A 4 4 1. 26 0.154







604 A 1 1 1. 22 0.045







605 A 10 6 1. 28 0.214







606 A 9 5 1. 28 0.179







607 A 6 3 1. 28 0.107







608 A 8 5 1. 28 0.179







609 A 11 7 1. 28 0.25







610 A 10 5 1. 28 0.179







611 A 6 3 1. 28 0.107







612 A 6 3 1. 28 0.107







613 A 8 4 1. 28 0.143







614 A 16 7 1. 28 0.25







615 A 8 5 1. 28 0.179







616 A 8 4 1. 28 0.143







617 A 12 6 0.99 28 0.214







618 A 6 3 1. 20 0.15







619 A 5 5 1. 26 0.192







620 A 6 6 1. 30 0.2







621 A 5 5 1. 29 0.172







622 A 10 6 1. 28 0.214







623 A 9 6 1. 28 0.214







624 A 7 6 1. 26 0.231







625 A 7 6 1. 21 0.286







626 A 14 10 1. 28 0.357







627 A 14 10 1. 28 0.357







628 A 23 11 1. 28 0.393







629 A 9 6 1. 28 0.214







630 A 8 6 0.99 28 0.214







631 A 6 5 1. 26 0.192







632 A 6 5 1. 21 0.238







633 A 10 9 1. 28 0.321







634 A 14 10 1. 28 0.357







635 A 23 11 1. 28 0.393







636 A 8 6 0.99 28 0.214







637 A 7 6 1. 28 0.214







638 A 6 5 1. 26 0.192







639 A 2 2 1. 21 0.095







640 A 7 7 1. 28 0.25







641 A 14 10 1. 28 0.357







642 A 23 11 1. 28 0.393







643 A 16 10 1.35 28 0.357







644 A 10 8 1. 28 0.286







645 A 7 6 1. 28 0.214







646 A 7 6 1. 28 0.214







647 A 5 4 1. 26 0.154







648 A 2 2 1. 21 0.095







649 A 4 4 1. 28 0.143







650 A 14 10 1. 28 0.357







651 A 23 10 1. 28 0.357







652 A 10 9 1. 28 0.321







653 A 17 12 1. 28 0.429







654 A 4 4 1. 28 0.143







655 A 2 2 1. 30 0.067







656 A 4 3 1. 26 0.115







657 A 4 3 1. 46 0.065







658 A 3 3 1. 46 0.065







659 A 2 2 1. 44 0.045







660 A 1 1 1. 39 0.026







661 A 2 2 1. 46 0.043







662 A 3 3 1. 46 0.065







663 A 4 3 1. 46 0.065







664 A 5 3 1. 46 0.065







665 A 4 4 1. 46 0.087







666 A 3 3 1. 46 0.065







667 A 2 2 1. 44 0.045







668 A 1 1 1. 39 0.026







669 A 3 3 1. 46 0.065







670 A 4 4 1. 46 0.087







671 A 5 4 1. 46 0.087







672 A 4 3 1. 46 0.065







673 A 3 3 1. 46 0.065







674 A 2 2 1. 44 0.045







675 A 1 1 1. 39 0.026







676 A 4 3 1. 46 0.065







677 A 5 4 1. 46 0.087







678 A 6 4 1. 46 0.087







679 A 5 3 1. 46 0.065







680 A 4 3 1. 46 0.065







681 A 3 3 1. 46 0.065







682 A 2 2 1. 44 0.045







683 A 1 1 1. 39 0.026







684 A 3 3 1. 46 0.065







685 A 3 3 1. 46 0.065







686 A 4 4 1. 46 0.087







687 A 5 4 1. 46 0.087







688 A 6 4 1. 46 0.087







689 A 5 3 1. 46 0.065







690 A 4 3 1. 46 0.065







691 A 3 3 1. 46 0.065







692 A 2 2 1. 44 0.045







693 A 1 1 1. 39 0.026







694 A 4 3 1. 46 0.065







695 A 4 4 1. 46 0.087







696 A 4 3 1. 46 0.065







697 A 5 4 1. 46 0.087







698 A 6 4 1. 46 0.087







699 A 7 4 1. 46 0.087







700 A 5 3 1. 46 0.065







701 A 4 3 1. 46 0.065







702 A 3 3 1. 46 0.065







703 A 2 2 1. 44 0.045







704 A 1 1 1. 39 0.026







705 A 5 3 1. 46 0.065







706 A 5 4 1. 46 0.087







707 A 5 4 1. 46 0.087







708 A 5 3 1. 46 0.065







709 A 6 4 1. 46 0.087







710 A 7 4 1. 46 0.087







711 A 8 4 1. 46 0.087







712 A 6 4 1. 48 0.083







713 A 5 4 1. 48 0.083







714 A 4 4 1. 48 0.083







715 A 3 3 1. 48 0.062







716 A 1 1 1. 48 0.021







717 A 2 2 1. 48 0.042







718 A 3 2 1. 48 0.042







719 A 4 2 1. 48 0.042







720 A 6 5 1. 48 0.104







721 A 5 5 1. 48 0.104







722 A 4 4 1. 48 0.083







723 A 1 1 1. 48 0.021







724 A 2 2 1. 48 0.042







725 A 3 3 1. 48 0.062







726 A 4 3 1. 48 0.062







727 A 6 5 1. 48 0.104







728 A 5 4 1. 48 0.083







729 A 1 1 1. 48 0.021







730 A 2 2 1. 48 0.042







731 A 3 2 1. 48 0.042







732 A 4 3 1. 48 0.062







733 A 7 5 1. 48 0.104







734 A 6 5 1. 48 0.104







735 A 5 5 1. 48 0.104







736 A 4 4 1. 48 0.083







737 A 4 4 1. 48 0.083







738 A 1 1 1. 48 0.021







739 A 2 2 1. 48 0.042







740 A 3 2 1. 48 0.042







741 A 4 2 1. 48 0.042







742 A 7 5 1. 48 0.104







743 A 6 5 1. 48 0.104







744 A 5 4 1. 48 0.083







745 A 5 5 1. 48 0.104







746 A 5 4 1. 48 0.083







747 A 1 1 1. 48 0.021







748 A 2 2 1. 48 0.042







749 A 3 2 1. 48 0.042







750 A 4 2 1. 48 0.042







751 A 8 5 1. 48 0.104







752 A 7 5 1. 48 0.104







753 A 6 4 1. 48 0.083







754 A 6 5 1. 48 0.104







755 A 6 5 1. 48 0.104







756 A 6 4 1. 48 0.083







757 A 1 1 1. 48 0.021







758 A 2 2 1. 48 0.042







759 A 3 2 1. 48 0.042







760 A 4 2 1. 48 0.042







761 A 3 3 1.17 46 0.065







762 A 3 3 1.06 46 0.065







763 A 3 3 1.13 46 0.065







764 A 3 3 1.15 46 0.065







765 A 3 3 1.17 46 0.065







766 A 3 3 1.17 46 0.065







767 A 3 3 1.04 44 0.068







768 A 4 3 1. 44 0.068







769 A 3 3 1. 44 0.068







770 A 2 2 1. 42 0.048







771 A 1 1 1. 37 0.027







772 A 2 2 1. 44 0.045







773 A 2 2 1. 44 0.045







774 A 2 2 1. 44 0.045







775 A 3 3 1. 46 0.065







776 A 3 3 1. 46 0.065







777 A 3 3 1. 46 0.065







778 A 3 3 1. 46 0.065







779 A 3 3 1. 46 0.065







780 A 1 1 1. 47 0.021







781 A 3 3 1. 73 0.041







782 A 4 4 1.04 46 0.087







783 A 6 4 1. 46 0.087







784 A 5 4 1. 46 0.087







785 A 4 4 1. 46 0.087







786 A 3 3 1. 44 0.068







787 A 2 2 1. 39 0.051







788 A 3 3 1. 46 0.065







789 A 3 3 1. 46 0.065







790 A 4 4 1. 46 0.087







791 A 5 4 1. 46 0.087







792 A 8 4 1. 32 0.125







793 A 6 4 1. 32 0.125







794 A 4 4 1. 30 0.133







795 A 6 4 1. 32 0.125







796 A 7 5 1. 32 0.156







797 A 7 5 1. 32 0.156







798 A 5 5 1. 32 0.156







799 A 4 4 1. 30 0.133







800 A 7 5 1. 32 0.156







801 A 8 6 1. 32 0.188







802 A 3 3 1. 25 0.12







803 A 4 3 1. 25 0.12







804 A 4 3 1. 28 0.107







805 A 2 1 1. 28 0.036







806 A 2 1 1. 28 0.036







807 A 2 1 1. 26 0.038







808 A 2 1 1. 21 0.048







809 A 3 3 1. 28 0.107







810 A 3 2 1. 28 0.071







811 A 3 3 1. 28 0.107







812 A 3 3 1. 28 0.107







813 A 4 4 0.98 28 0.143







814 A 2 1 1. 25 0.04







815 A 2 1 1. 27 0.037







816 A 2 1 1. 27 0.037







817 A 6 5 1. 27 0.185







818 A 9 6 1. 27 0.222







819 A 3 2 1. 27 0.074







820 A 3 2 1. 27 0.074







821 A 2 1 1. 25 0.04







822 A 2 1 1. 20 0.05







823 A 4 3 1. 27 0.111







824 A 4 4 1. 27 0.148







825 A 4 4 1. 27 0.148







826 A 3 2 1. 27 0.074







827 A 3 2 1. 27 0.074







828 A 2 1 1. 25 0.04







829 A 2 1 1. 20 0.05







830 A 4 3 1. 27 0.111







831 A 4 4 1. 27 0.148







832 A 5 5 1. 27 0.185







833 B 9 7 2.1 25 0.28







834 A 4 4 1. 29 0.138







835 A 6 5 1. 29 0.172







836 A 5 5 1. 29 0.172







837 A 4 4 1. 29 0.138







838 A 4 4 1. 29 0.138







839 A 4 4 1. 29 0.138







840 A 3 3 1. 29 0.103







841 A 4 4 1. 29 0.138







842 A 5 5 1. 29 0.172







843 A 6 5 1. 38 0.132







844 A 5 5 1. 38 0.132







845 A 4 4 1. 38 0.105







846 A 4 4 1. 38 0.105







847 A 4 4 1. 38 0.105







848 A 3 3 1. 38 0.079







849 A 4 4 1. 38 0.105







850 A 10 5 1. 31 0.161







851 A 6 3 1. 31 0.097







852 A 6 3 1. 31 0.097







853 A 8 4 1. 31 0.129







854 A 8 6 1. 29 0.207







855 A 7 6 1. 29 0.207







856 A 6 5 1. 27 0.185







857 A 6 5 1. 22 0.227







858 A 8 5 1. 29 0.172







859 A 20 7 1. 29 0.241







860 A 23 8 1. 29 0.276







861 A 27 9 1. 29 0.31







862 A 9 6 1. 29 0.207







863 A 8 6 1. 29 0.207







864 A 7 5 1. 27 0.185







865 A 7 6 1. 22 0.273







866 A 13 7 1. 29 0.241







867 A 23 8 1. 29 0.276







868 A 30 9 1. 29 0.31







869 A 15 7 1. 29 0.241







870 A 8 5 1. 29 0.172







871 A 7 5 1. 29 0.172







872 A 6 5 1. 29 0.172







873 A 5 4 1. 27 0.148







874 A 2 2 1. 22 0.091







875 A 6 3 1. 29 0.103







876 A 9 4 1. 29 0.138







877 A 13 6 1. 29 0.207







878 A 7 6 1. 29 0.207







879 A 6 5 1. 29 0.172







880 A 4 4 1. 29 0.138







881 A 4 4 1. 27 0.148







882 A 4 4 1. 22 0.182







883 A 10 5 1. 29 0.172







884 A 14 6 1. 29 0.207







885 A 19 7 1. 29 0.241







886 A 10 6 1. 31 0.194







887 A 9 6 1. 31 0.194







888 A 7 6 1. 29 0.207







889 A 7 6 1. 24 0.25







890 A 15 10 1.27 31 0.323







891 A 15 10 1.26 31 0.323







892 A 25 11 1.65 31 0.355







893 A 9 6 1. 31 0.194







894 A 8 6 1. 31 0.194







895 A 6 5 1. 29 0.172







896 A 6 5 1. 24 0.208







897 A 11 9 1. 31 0.29







898 A 15 10 1.3 31 0.323







899 A 25 11 1.67 31 0.355







900 A 8 6 1. 31 0.194







901 A 7 6 1. 31 0.194







902 A 6 5 1. 29 0.172







903 A 2 2 1. 24 0.083







904 A 8 7 1. 31 0.226







905 A 15 10 1. 31 0.323







906 A 25 11 1. 31 0.355







907 A 11 8 1. 31 0.258







908 A 17 10 1. 31 0.323







909 A 7 6 1. 31 0.194







910 A 7 6 1. 31 0.194







911 A 5 4 1. 29 0.138







912 A 2 2 1. 24 0.083







913 A 5 4 1. 31 0.129







914 A 15 10 1. 31 0.323







915 A 25 10 1.58 31 0.323







916 A 11 9 1. 31 0.29







917 A 18 12 1. 31 0.387







918 A 1 1 1. 33 0.03







919 A 2 2 1. 33 0.061







920 A 2 1 1. 25 0.04







921 A 2 1 1. 23 0.043







922 A 3 3 1. 25 0.12







923 A 3 3 1. 25 0.12







924 A 3 3 0.99 25 0.12







925 A 2 1 1. 27 0.037







926 A 2 1 1. 25 0.04







927 A 3 2 1. 27 0.074







928 A 4 3 1. 27 0.111







929 A 5 4 1. 27 0.148







930 A 4 2 1. 27 0.074







931 A 4 2 1. 27 0.074







932 A 4 2 1. 27 0.074







933 A 4 2 1. 25 0.08







934 A 4 2 1. 20 0.1







935 A 7 3 1. 27 0.111







936 A 8 4 1. 27 0.148







937 A 5 3 1. 27 0.111







938 A 5 3 1. 27 0.111







939 A 5 3 1. 27 0.111







940 A 5 3 1. 25 0.12







941 A 5 3 1. 20 0.15







942 A 12 4 1. 27 0.148







943 A 13 5 1. 27 0.185







944 A 4 4 0.97 27 0.148







945 A 6 4 0.99 29 0.138







946 A 5 3 1. 27 0.111







947 A 2 2 1. 22 0.091







948 A 0 0 0. 0 0.







949 A 6 4 1. 29 0.138







950 A 5 3 1. 27 0.111







951 A 2 2 1. 22 0.091







952 A 0 0 0. 0 0.







953 A 4 4 0.99 25 0.16







954 A 6 4 1. 27 0.148







955 A 5 3 1. 25 0.12







956 A 2 2 1. 20 0.1







957 A 0 0 0. 0 0.







958 A 5 5 1. 27 0.185