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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 72 72 53 53 104 72 223 117 68
normalized size 1 1. 0.74 0.74 1.44 1. 3.1 1.62 0.94
time (sec) N/A 0.085 0.056 0.006 1.423 0.22 3.728 0.207 13.833
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 161 161 155 194 320 259 644 381 160
normalized size 1 1. 0.96 1.2 1.99 1.61 4. 2.37 0.99
time (sec) N/A 0.223 0.159 0.01 1.424 0.216 20.86 0.213 37.17
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 274 274 355 495 709 617 1406 860 279
normalized size 1 1. 1.3 1.81 2.59 2.25 5.13 3.14 1.02
time (sec) N/A 0.396 0.473 0.01 1.395 0.22 52.281 0.216 69.759
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 114 114 82 91 173 122 354 203 110
normalized size 1 1. 0.72 0.8 1.52 1.07 3.11 1.78 0.96
time (sec) N/A 0.143 0.1 0.006 1.378 0.216 6.343 0.211 26.126
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 320 320 320 447 675 563 1365 846 348
normalized size 1 1. 1. 1.4 2.11 1.76 4.27 2.64 1.09
time (sec) N/A 0.511 0.565 0.013 1.421 0.218 52.495 0.219 120.574
Problem 6 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 708 708 913 1417 1836 1648 3691 1 0
normalized size 1 1. 1.29 2. 2.59 2.33 5.21 0. 0.
time (sec) N/A 1.498 4.768 0.015 1.436 0.228 174.121 0.232 0.
Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 161 161 124 186 0 0 76 216 150
normalized size 1 1. 0.77 1.16 0. 0. 0.47 1.34 0.93
time (sec) N/A 0.243 0.11 0.005 0. 0. 1.029 0.214 31.419
Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 189 189 180 238 0 0 105 252 172
normalized size 1 1. 0.95 1.26 0. 0. 0.56 1.33 0.91
time (sec) N/A 0.266 0.332 0.004 0. 0. 1.873 0.215 41.773
Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 215 215 205 272 0 0 146 279 201
normalized size 1 1. 0.95 1.27 0. 0. 0.68 1.3 0.93
time (sec) N/A 0.356 0.326 0.007 0. 0. 2.451 0.218 51.912
Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 240 240 229 306 0 0 185 312 228
normalized size 1 1. 0.95 1.27 0. 0. 0.77 1.3 0.95
time (sec) N/A 0.423 0.44 0.007 0. 0. 3.935 0.214 64.529
Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 161 161 125 186 0 0 76 197 150
normalized size 1 1. 0.78 1.16 0. 0. 0.47 1.22 0.93
time (sec) N/A 0.254 0.105 0.007 0. 0. 1.042 0.213 31.535
Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 161 161 125 188 0 0 78 155 150
normalized size 1 1. 0.78 1.17 0. 0. 0.48 0.96 0.93
time (sec) N/A 0.216 0.088 0.007 0. 0. 1.063 0.213 31.727
Problem 13 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 19 19 19 17 22 22 26 22 22
normalized size 1 1. 1. 0.89 1.16 1.16 1.37 1.16 1.16
time (sec) N/A 0.029 0.009 0.002 1.559 0.211 0.102 0.209 2.586
Problem 14 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 19 19 19 17 22 22 26 22 22
normalized size 1 1. 1. 0.89 1.16 1.16 1.37 1.16 1.16
time (sec) N/A 0.029 0.008 0.003 1.603 0.211 0.101 0.207 4.681
Problem 15 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 22 22 22 17 22 22 17 23 17
normalized size 1 1. 1. 0.77 1. 1. 0.77 1.05 0.77
time (sec) N/A 0.023 0.008 0.007 1.518 0.208 0.095 0.209 6.725
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 22 22 22 19 24 24 17 26 17
normalized size 1 1. 1. 0.86 1.09 1.09 0.77 1.18 0.77
time (sec) N/A 0.023 0.007 0.007 1.51 0.21 0.088 0.211 6.929
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 41 41 41 33 43 53 44 45 41
normalized size 1 1. 1. 0.8 1.05 1.29 1.07 1.1 1.
time (sec) N/A 0.057 0.014 0.007 1.522 0.22 0.155 0.209 9.735
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 29 29 31 35 46 38 54 38 31
normalized size 1 1. 1.07 1.21 1.59 1.31 1.86 1.31 1.07
time (sec) N/A 0.047 0.019 0.009 1.525 0.217 0.2 0.211 5.161
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 29 29 29 34 45 35 53 35 29
normalized size 1 1. 1. 1.17 1.55 1.21 1.83 1.21 1.
time (sec) N/A 0.042 0.015 0.006 1.579 0.218 0.198 0.211 9.357
Problem 20 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 39 39 35 195 0 1 88 65 44
normalized size 1 1. 0.9 5. 0. 0.03 2.26 1.67 1.13
time (sec) N/A 0.061 0.037 0.005 0. 0.248 0.821 0.225 12.148
Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 129 228 0 1 105 78 44
normalized size 1 1. 3.15 5.56 0. 0.02 2.56 1.9 1.07
time (sec) N/A 0.101 0.097 0.016 0. 0.243 0.929 0.226 13.653
Problem 22 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 118 118 90 94 0 138 26 155 114
normalized size 1 1. 0.76 0.8 0. 1.17 0.22 1.31 0.97
time (sec) N/A 0.231 0.024 0.006 0. 0.22 0.171 0.216 35.274
Problem 23 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 118 118 90 94 0 124 22 155 114
normalized size 1 1. 0.76 0.8 0. 1.05 0.19 1.31 0.97
time (sec) N/A 0.198 0.021 0.004 0. 0.222 0.187 0.213 34.478
Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 161 161 124 186 0 0 76 224 150
normalized size 1 1. 0.77 1.16 0. 0. 0.47 1.39 0.93
time (sec) N/A 0.306 0.073 0.006 0. 0. 1.122 0.219 42.037
Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 134 134 122 108 0 0 75 162 128
normalized size 1 1. 0.91 0.81 0. 0. 0.56 1.21 0.96
time (sec) N/A 0.22 0.068 0.005 0. 0. 0.429 0.213 34.871
Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 134 134 123 111 0 0 70 128 128
normalized size 1 1. 0.92 0.83 0. 0. 0.52 0.96 0.96
time (sec) N/A 0.181 0.061 0.004 0. 0. 0.643 0.212 31.278
Problem 27 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 37 37 72 43 57 51 60 50 36
normalized size 1 1. 1.95 1.16 1.54 1.38 1.62 1.35 0.97
time (sec) N/A 0.1 0.036 0.011 1.529 0.219 0.819 0.211 15.795
Problem 28 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 39 39 71 45 59 51 60 51 36
normalized size 1 1. 1.82 1.15 1.51 1.31 1.54 1.31 0.92
time (sec) N/A 0.079 0.035 0.013 1.515 0.225 0.787 0.213 16.782
Problem 29 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 48 48 76 117 0 1 58 0 49
normalized size 1 1. 1.58 2.44 0. 0.02 1.21 0. 1.02
time (sec) N/A 0.07 0.036 0.01 0. 0.248 0.881 0. 11.161
Problem 30 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 47 47 72 84 0 61 85 147 44
normalized size 1 1. 1.53 1.79 0. 1.3 1.81 3.13 0.94
time (sec) N/A 0.065 0.046 0.009 0. 0.233 0.808 0.243 9.776
Problem 31 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 57 57 99 122 0 1 58 0 56
normalized size 1 1. 1.74 2.14 0. 0.02 1.02 0. 0.98
time (sec) N/A 0.113 0.049 0.009 0. 0.245 0.977 0. 13.266
Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 47 47 106 110 0 68 95 130 44
normalized size 1 1. 2.26 2.34 0. 1.45 2.02 2.77 0.94
time (sec) N/A 0.101 0.069 0.011 0. 0.231 0.848 0.243 10.829
Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 146 87 0 77 100 211 46
normalized size 1 1. 2.92 1.74 0. 1.54 2. 4.22 0.92
time (sec) N/A 0.119 0.106 0.007 0. 0.233 0.95 0.241 11.551
Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 53 53 150 135 0 81 110 204 49
normalized size 1 1. 2.83 2.55 0. 1.53 2.08 3.85 0.92
time (sec) N/A 0.13 0.105 0.009 0. 0.234 0.989 0.241 13.092
Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 149 132 0 80 109 123 49
normalized size 1 1. 2.76 2.44 0. 1.48 2.02 2.28 0.91
time (sec) N/A 0.098 0.085 0.006 0. 0.236 0.985 0.218 12.613
Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 53 53 147 90 0 78 102 115 46
normalized size 1 1. 2.77 1.7 0. 1.47 1.92 2.17 0.87
time (sec) N/A 0.097 0.078 0.007 0. 0.236 1.047 0.217 13.439
Problem 37 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 61 61 95 117 0 1 70 0 63
normalized size 1 1. 1.56 1.92 0. 0.02 1.15 0. 1.03
time (sec) N/A 0.083 0.042 0.005 0. 0.245 0.964 0. 13.152
Problem 38 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 70 70 116 122 0 1 73 0 70
normalized size 1 1. 1.66 1.74 0. 0.01 1.04 0. 1.
time (sec) N/A 0.127 0.058 0.009 0. 0.25 1.065 0. 19.865
Problem 39 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 50 32 42 42 42 43 39
normalized size 1 1. 1.25 0.8 1.05 1.05 1.05 1.08 0.98
time (sec) N/A 0.064 0.02 0.007 1.522 0.222 0.153 0.24 9.787
Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) F(-1) F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 70 70 122 310 0 0 0 0 70
normalized size 1 1. 1.74 4.43 0. 0. 0. 0. 1.
time (sec) N/A 0.116 0.099 0.009 0. 0. 0. 0. 20.793
Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B F(-2) F(-1) F(-2) F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 88 88 238 345 0 0 0 0 78
normalized size 1 1. 2.7 3.92 0. 0. 0. 0. 0.89
time (sec) N/A 0.185 1.239 0.01 0. 0. 0. 0. 27.39
Problem 42 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 11 11 12 12 16 16 7 18 7
normalized size 1 1. 1.09 1.09 1.45 1.45 0.64 1.64 0.64
time (sec) N/A 0.02 0.003 0.003 1.365 0.23 0.063 0.234 6.538
Problem 43 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 21 21 21 218 0 23 20 22 19
normalized size 1 1. 1. 10.38 0. 1.1 0.95 1.05 0.9
time (sec) N/A 0.033 0.005 0.007 0. 0.257 0.623 0.223 16.068
Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A F(-2) F(-1) F(-2) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 71 71 247 121 0 0 0 351 54
normalized size 1 1. 3.48 1.7 0. 0. 0. 4.94 0.76
time (sec) N/A 0.158 0.635 0.007 0. 0. 0. 0.248 17.376
Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B F(-2) F(-1) F(-2) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 76 76 288 345 0 0 0 344 60
normalized size 1 1. 3.79 4.54 0. 0. 0. 4.53 0.79
time (sec) N/A 0.169 0.447 0.01 0. 0. 0. 0.248 18.592
Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B F(-2) F(-1) F(-2) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 253 340 0 0 0 180 60
normalized size 1 1. 3.24 4.36 0. 0. 0. 2.31 0.77
time (sec) N/A 0.176 0.515 0.007 0. 0. 0. 0.223 19.466
Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A F(-2) F(-1) F(-2) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 75 75 244 124 0 0 0 169 54
normalized size 1 1. 3.25 1.65 0. 0. 0. 2.25 0.72
time (sec) N/A 0.174 0.608 0.008 0. 0. 0. 0.223 20.804
Problem 48 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 31 36 35 35 24 36 27
normalized size 1 1. 0.97 1.12 1.09 1.09 0.75 1.12 0.84
time (sec) N/A 0.06 0.023 0.009 1.579 0.219 0.496 0.22 11.826
Problem 49 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 55 55 62 87 63 73 323 70 58
normalized size 1 1. 1.13 1.58 1.15 1.33 5.87 1.27 1.05
time (sec) N/A 0.113 0.062 0.007 1.554 0.252 1.265 0.219 16.716
Problem 50 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 8 8 8 7 8 8 5 9 5
normalized size 1 1. 1. 0.88 1. 1. 0.62 1.12 0.62
time (sec) N/A 0.012 0.002 0.002 1.365 0.22 0.046 0.217 3.088
Problem 51 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 30 30 30 33 43 51 5 45 34
normalized size 1 1. 1. 1.1 1.43 1.7 0.17 1.5 1.13
time (sec) N/A 0.057 0.015 0.006 1.52 0.227 0.146 0.217 12.42
Problem 52 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 18 18 18 17 22 22 15 23 15
normalized size 1 1. 1. 0.94 1.22 1.22 0.83 1.28 0.83
time (sec) N/A 0.033 0.01 0.007 1.572 0.227 0.106 0.219 10.008
Problem 53 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 113 113 113 98 131 1 117 131 0
normalized size 1 1. 1. 0.87 1.16 0.01 1.04 1.16 0.
time (sec) N/A 0.175 0.008 0.003 1.424 0.207 0.082 0.215 0.
Problem 54 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 88 88 88 75 100 1 90 100 0
normalized size 1 1. 1. 0.85 1.14 0.01 1.02 1.14 0.
time (sec) N/A 0.113 0.005 0. 1.382 0.193 0.068 0.215 0.
Problem 55 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 60 60 60 51 68 1 58 68 0
normalized size 1 1. 1. 0.85 1.13 0.02 0.97 1.13 0.
time (sec) N/A 0.071 0.004 0.003 1.448 0.192 0.056 0.213 0.
Problem 56 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 12 12 12 11 14 14 8 14 0
normalized size 1 1. 1. 0.92 1.17 1.17 0.67 1.17 0.
time (sec) N/A 0.017 0.001 0.002 1.41 0.216 0.059 0.216 0.
Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 161 161 124 186 0 0 76 216 150
normalized size 1 1. 0.77 1.16 0. 0. 0.47 1.34 0.93
time (sec) N/A 0.232 0.104 0.002 0. 0. 1.064 0.222 38.019
Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 189 189 180 238 0 0 105 252 172
normalized size 1 1. 0.95 1.26 0. 0. 0.56 1.33 0.91
time (sec) N/A 0.259 0.329 0.004 0. 0. 1.882 0.225 50.31
Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 585 630 349 1618 0 0 265 0 592
normalized size 1 1.08 0.6 2.77 0. 0. 0.45 0. 1.01
time (sec) N/A 1.125 1.325 0.007 0. 0. 6.506 0. 155.638
Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 556 583 329 1546 0 0 170 0 534
normalized size 1 1.05 0.59 2.78 0. 0. 0.31 0. 0.96
time (sec) N/A 0.861 1.814 0.007 0. 0. 3.935 0. 122.034
Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 525 535 313 1480 0 0 163 0 478
normalized size 1 1.02 0.6 2.82 0. 0. 0.31 0. 0.91
time (sec) N/A 0.659 1.269 0.007 0. 0. 3.74 0. 89.22
Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 490 490 221 1536 0 0 78 0 430
normalized size 1 1. 0.45 3.13 0. 0. 0.16 0. 0.88
time (sec) N/A 0.521 0.338 0.006 0. 0. 3.119 0. 60.691
Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 522 522 305 1662 0 0 163 0 466
normalized size 1 1. 0.58 3.18 0. 0. 0.31 0. 0.89
time (sec) N/A 0.671 1.37 0.007 0. 0. 20.116 0. 81.867
Problem 64 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 NO TBD TBD TBD TBD TBD TBD
size 554 554 267 1782 0 0 0 0 498
normalized size 1 1. 0.48 3.22 0. 0. 0. 0. 0.9
time (sec) N/A 0.847 0.769 0.108 0. 0. 0. 0. 103.388
Problem 65 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 NO TBD TBD TBD TBD TBD TBD
size 581 581 287 1902 0 0 0 0 536
normalized size 1 1. 0.49 3.27 0. 0. 0. 0. 0.92
time (sec) N/A 0.961 0.944 0.095 0. 0. 0. 0. 124.251
Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 590 590 357 1491 0 0 187 0 527
normalized size 1 1. 0.61 2.53 0. 0. 0.32 0. 0.89
time (sec) N/A 1. 2.107 0.01 0. 0. 4.324 0. 136.716
Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 594 594 354 1547 0 0 189 0 524
normalized size 1 1. 0.6 2.6 0. 0. 0.32 0. 0.88
time (sec) N/A 0.871 2.032 0.009 0. 0. 42.047 0. 98.265
Problem 68 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 NO TBD TBD TBD TBD TBD TBD
size 628 628 329 1673 0 0 0 0 564
normalized size 1 1. 0.52 2.66 0. 0. 0. 0. 0.9
time (sec) N/A 1.029 1.414 0.009 0. 0. 0. 0. 107.722
Problem 69 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 NO TBD TBD TBD TBD TBD TBD
size 676 676 366 1793 0 0 0 0 612
normalized size 1 1. 0.54 2.65 0. 0. 0. 0. 0.91
time (sec) N/A 1.292 1.482 0.008 0. 0. 0. 0. 135.762
Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 186 186 200 211 0 0 156 262 175
normalized size 1 1. 1.08 1.13 0. 0. 0.84 1.41 0.94
time (sec) N/A 0.332 0.165 0.004 0. 0. 1.987 0.216 42.178
Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 222 222 214 325 0 0 245 327 0
normalized size 1 1. 0.96 1.46 0. 0. 1.1 1.47 0.
time (sec) N/A 0.575 0.332 0.006 0. 0. 4.74 0.216 0.
Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 282 280 277 446 0 0 325 427 0
normalized size 1 0.99 0.98 1.58 0. 0. 1.15 1.51 0.
time (sec) N/A 0.797 0.492 0.006 0. 0. 8.685 0.215 0.
Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) F(-2) A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 272 270 269 444 0 0 546 383 0
normalized size 1 0.99 0.99 1.63 0. 0. 2.01 1.41 0.
time (sec) N/A 0.889 0.8 0.007 0. 0. 15.623 0.218 0.
Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) F(-2) A A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 416 416 439 837 0 0 1314 648 0
normalized size 1 1. 1.06 2.01 0. 0. 3.16 1.56 0.
time (sec) N/A 1.311 0.867 0.008 0. 0. 124.454 0.225 0.
Problem 75 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 645 643 678 1339 0 0 0 1 0
normalized size 1 1. 1.05 2.08 0. 0. 0. 0. 0.
time (sec) N/A 2.204 0.753 0.01 0. 0. 0. 0.222 0.
Problem 76 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 43 43 54 38 50 65 44 51 0
normalized size 1 1. 1.26 0.88 1.16 1.51 1.02 1.19 0.
time (sec) N/A 0.125 0.024 0.007 1.524 0.225 0.153 0.213 0.
Problem 77 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 46 46 54 38 50 62 46 51 0
normalized size 1 1. 1.17 0.83 1.09 1.35 1. 1.11 0.
time (sec) N/A 0.126 0.023 0.008 1.515 0.245 0.153 0.212 0.
Problem 78 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 44 44 44 38 50 63 48 51 44
normalized size 1 1. 1. 0.86 1.14 1.43 1.09 1.16 1.
time (sec) N/A 0.075 0.015 0.008 1.524 0.233 0.151 0.213 15.513
Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 230 230 127 407 0 0 92 0 206
normalized size 1 1. 0.55 1.77 0. 0. 0.4 0. 0.9
time (sec) N/A 0.126 0.187 0.02 0. 0. 1.983 0. 11.661
Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 257 257 112 368 0 0 97 0 206
normalized size 1 1. 0.44 1.43 0. 0. 0.38 0. 0.8
time (sec) N/A 0.15 0.124 0.028 0. 0. 2.474 0. 14.666
Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 144 144 110 407 0 0 82 0 109
normalized size 1 1. 0.76 2.83 0. 0. 0.57 0. 0.76
time (sec) N/A 0.078 0.114 0.015 0. 0. 2.4 0. 6.762
Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 135 135 147 370 0 0 99 0 114
normalized size 1 1. 1.09 2.74 0. 0. 0.73 0. 0.84
time (sec) N/A 0.075 0.2 0.015 0. 0. 2.026 0. 6.531
Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 468 468 225 1003 0 0 122 0 410
normalized size 1 1. 0.48 2.14 0. 0. 0.26 0. 0.88
time (sec) N/A 0.286 0.502 0.119 0. 0. 3.636 0. 25.042
Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 481 481 182 949 0 0 128 0 413
normalized size 1 1. 0.38 1.97 0. 0. 0.27 0. 0.86
time (sec) N/A 0.309 0.313 0.135 0. 0. 4.035 0. 28.02
Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 271 271 257 952 0 0 112 0 224
normalized size 1 1. 0.95 3.51 0. 0. 0.41 0. 0.83
time (sec) N/A 0.16 0.599 0.06 0. 0. 4.044 0. 13.768
Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 266 266 227 1012 0 0 129 0 224
normalized size 1 1. 0.85 3.8 0. 0. 0.48 0. 0.84
time (sec) N/A 0.148 0.518 0.046 0. 0. 3.953 0. 13.138
Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 520 520 243 1004 0 0 0 0 450
normalized size 1 1. 0.47 1.93 0. 0. 0. 0. 0.87
time (sec) N/A 0.452 0.462 0.056 0. 0. 1.326 0. 32.363
Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 533 533 232 950 0 0 0 0 450
normalized size 1 1. 0.44 1.78 0. 0. 0. 0. 0.84
time (sec) N/A 0.398 0.39 0.056 0. 0. 1.694 0. 35.861
Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 256 256 267 953 0 0 0 0 449
normalized size 1 1. 1.04 3.72 0. 0. 0. 0. 1.75
time (sec) N/A 0.18 0.56 0.029 0. 0. 1.72 0. 35.647
Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 251 251 245 1013 0 0 0 0 449
normalized size 1 1. 0.98 4.04 0. 0. 0. 0. 1.79
time (sec) N/A 0.149 0.511 0.019 0. 0. 1.452 0. 33.989
Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 127 127 127 407 0 0 92 0 110
normalized size 1 1. 1. 3.2 0. 0. 0.72 0. 0.87
time (sec) N/A 0.054 0.202 0.021 0. 0. 1.99 0. 6.459
Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 142 142 112 368 0 0 97 0 110
normalized size 1 1. 0.79 2.59 0. 0. 0.68 0. 0.77
time (sec) N/A 0.068 0.125 0.019 0. 0. 2.502 0. 8.305
Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 264 264 110 407 0 0 82 0 202
normalized size 1 1. 0.42 1.54 0. 0. 0.31 0. 0.77
time (sec) N/A 0.126 0.099 0.014 0. 0. 2.503 0. 13.081
Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 247 247 147 370 0 0 97 0 211
normalized size 1 1. 0.6 1.5 0. 0. 0.39 0. 0.85
time (sec) N/A 0.129 0.209 0.016 0. 0. 2.098 0. 13.131
Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 126 126 129 407 0 0 92 0 110
normalized size 1 1. 1.02 3.23 0. 0. 0.73 0. 0.87
time (sec) N/A 0.063 0.223 0.018 0. 0. 2.349 0. 6.269
Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 143 143 112 368 0 0 97 0 110
normalized size 1 1. 0.78 2.57 0. 0. 0.68 0. 0.77
time (sec) N/A 0.067 0.122 0.013 0. 0. 2.09 0. 7.017
Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 263 263 110 407 0 0 82 0 202
normalized size 1 1. 0.42 1.55 0. 0. 0.31 0. 0.77
time (sec) N/A 0.131 0.105 0.014 0. 0. 2.114 0. 12.246
Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 248 248 146 370 0 0 97 0 211
normalized size 1 1. 0.59 1.49 0. 0. 0.39 0. 0.85
time (sec) N/A 0.128 0.2 0.015 0. 0. 2.444 0. 13.076
Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 256 256 225 1003 0 0 122 0 221
normalized size 1 1. 0.88 3.92 0. 0. 0.48 0. 0.86
time (sec) N/A 0.126 0.474 0.059 0. 0. 3.757 0. 12.068
Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 263 263 182 949 0 0 128 0 226
normalized size 1 1. 0.69 3.61 0. 0. 0.49 0. 0.86
time (sec) N/A 0.116 0.327 0.062 0. 0. 4.118 0. 13.55
Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 497 497 257 952 0 0 112 0 413
normalized size 1 1. 0.52 1.92 0. 0. 0.23 0. 0.83
time (sec) N/A 0.311 0.663 0.02 0. 0. 4.324 0. 28.947
Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 488 488 227 1012 0 0 128 0 415
normalized size 1 1. 0.47 2.07 0. 0. 0.26 0. 0.85
time (sec) N/A 0.293 0.518 0.027 0. 0. 4.067 0. 27.67
Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 241 241 243 1004 0 0 0 0 444
normalized size 1 1. 1.01 4.17 0. 0. 0. 0. 1.84
time (sec) N/A 0.155 0.469 0.048 0. 0. 1.388 0. 32.738
Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 248 248 232 950 0 0 0 0 444
normalized size 1 1. 0.94 3.83 0. 0. 0. 0. 1.79
time (sec) N/A 0.153 0.397 0.05 0. 0. 1.756 0. 35.7
Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 549 549 267 953 0 0 0 0 454
normalized size 1 1. 0.49 1.74 0. 0. 0. 0. 0.83
time (sec) N/A 0.496 0.57 0.02 0. 0. 1.738 0. 37.389
Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F A
verified N/A NO NO TBD TBD TBD TBD TBD TBD
size 540 540 245 1013 0 0 0 0 456
normalized size 1 1. 0.45 1.88 0. 0. 0. 0. 0.84
time (sec) N/A 0.389 0.484 0.028 0. 0. 1.508 0. 35.492
Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 490 490 221 720 0 0 78 0 430
normalized size 1 1. 0.45 1.47 0. 0. 0.16 0. 0.88
time (sec) N/A 0.384 0.33 0.006 0. 0. 2.169 0. 28.495
Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 503 503 208 681 0 0 82 0 430
normalized size 1 1. 0.41 1.35 0. 0. 0.16 0. 0.85
time (sec) N/A 0.438 0.25 0.006 0. 0. 2.255 0. 30.417
Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 515 515 236 683 0 0 73 0 434
normalized size 1 1. 0.46 1.33 0. 0. 0.14 0. 0.84
time (sec) N/A 0.452 0.417 0.007 0. 0. 2.345 0. 31.174
Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 508 508 223 726 0 0 83 0 435
normalized size 1 1. 0.44 1.43 0. 0. 0.16 0. 0.86
time (sec) N/A 0.417 0.384 0.006 0. 0. 2.247 0. 30.472
Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 246 246 136 291 0 0 61 0 221
normalized size 1 1. 0.55 1.18 0. 0. 0.25 0. 0.9
time (sec) N/A 0.208 0.177 0.007 0. 0. 1.731 0. 12.465
Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 271 271 121 267 0 0 65 0 221
normalized size 1 1. 0.45 0.99 0. 0. 0.24 0. 0.82
time (sec) N/A 0.221 0.156 0.006 0. 0. 1.795 0. 14.913
Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 275 275 119 291 0 0 56 0 218
normalized size 1 1. 0.43 1.06 0. 0. 0.2 0. 0.79
time (sec) N/A 0.208 0.134 0.006 0. 0. 1.818 0. 13.105
Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 261 261 152 269 0 0 66 0 226
normalized size 1 1. 0.58 1.03 0. 0. 0.25 0. 0.87
time (sec) N/A 0.2 0.181 0.007 0. 0. 1.758 0. 12.933
Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 87 87 134 101 0 0 126 304 82
normalized size 1 1. 1.54 1.16 0. 0. 1.45 3.49 0.94
time (sec) N/A 0.151 0.063 0.008 0. 0. 1.365 0.217 21.593
Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 219 219 184 151 0 0 124 288 207
normalized size 1 1. 0.84 0.69 0. 0. 0.57 1.32 0.95
time (sec) N/A 0.398 0.14 0.009 0. 0. 1.354 0.216 58.573
Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 110 110 168 142 0 0 155 343 102
normalized size 1 1. 1.53 1.29 0. 0. 1.41 3.12 0.93
time (sec) N/A 0.189 0.343 0.007 0. 0. 2.413 0.222 32.959
Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 241 241 224 188 0 0 155 321 231
normalized size 1 1. 0.93 0.78 0. 0. 0.64 1.33 0.96
time (sec) N/A 0.44 0.396 0.007 0. 0. 2.412 0.218 74.773
Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 136 136 193 180 0 0 194 367 128
normalized size 1 1. 1.42 1.32 0. 0. 1.43 2.7 0.94
time (sec) N/A 0.234 0.339 0.01 0. 0. 4.34 0.222 42.288
Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 266 266 249 222 0 0 192 346 257
normalized size 1 1. 0.94 0.83 0. 0. 0.72 1.3 0.97
time (sec) N/A 0.507 0.41 0.008 0. 0. 4.266 0.222 86.427
Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 162 162 217 184 0 0 231 400 151
normalized size 1 1. 1.34 1.14 0. 0. 1.43 2.47 0.93
time (sec) N/A 0.292 0.432 0.022 0. 0. 16.203 0.224 52.323
Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 291 291 274 224 0 0 231 378 280
normalized size 1 1. 0.94 0.77 0. 0. 0.79 1.3 0.96
time (sec) N/A 0.581 0.511 0.024 0. 0. 16.195 0.219 98.427
Problem 123 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 24 24 42 44 47 47 313 50 20
normalized size 1 1. 1.75 1.83 1.96 1.96 13.04 2.08 0.83
time (sec) N/A 0.045 0.026 0.007 1.52 0.228 0.772 0.209 7.258
Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 98 98 99 68 116 0 83 116 88
normalized size 1 1. 1.01 0.69 1.18 0. 0.85 1.18 0.9
time (sec) N/A 0.151 0.119 0.005 1.523 0. 0.745 0.213 19.05
Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 116 116 187 161 0 0 471 396 105
normalized size 1 1. 1.61 1.39 0. 0. 4.06 3.41 0.91
time (sec) N/A 0.211 0.113 0.003 0. 0. 10.556 0.222 26.758
Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 277 277 229 280 0 0 466 371 258
normalized size 1 1. 0.83 1.01 0. 0. 1.68 1.34 0.93
time (sec) N/A 0.441 0.279 0.005 0. 0. 10.449 0.22 70.434
Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 146 146 211 228 0 0 507 440 131
normalized size 1 1. 1.45 1.56 0. 0. 3.47 3.01 0.9
time (sec) N/A 0.271 0.542 0.007 0. 0. 13.667 0.221 41.703
Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 308 308 305 344 0 0 505 413 287
normalized size 1 1. 0.99 1.12 0. 0. 1.64 1.34 0.93
time (sec) N/A 0.568 0.814 0.006 0. 0. 13.705 0.221 88.05
Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 179 179 244 286 0 0 563 481 167
normalized size 1 1. 1.36 1.6 0. 0. 3.15 2.69 0.93
time (sec) N/A 0.354 0.662 0.007 0. 0. 18.722 0.225 53.563
Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 341 341 337 396 0 0 558 454 326
normalized size 1 1. 0.99 1.16 0. 0. 1.64 1.33 0.96
time (sec) N/A 0.693 0.631 0.007 0. 0. 18.332 0.225 103.555
Problem 131 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 211 211 276 281 0 0 612 531 197
normalized size 1 1. 1.31 1.33 0. 0. 2.9 2.52 0.93
time (sec) N/A 0.442 0.532 0.019 0. 0. 34.237 0.222 69.456
Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 372 372 369 393 0 0 610 504 357
normalized size 1 1. 0.99 1.06 0. 0. 1.64 1.35 0.96
time (sec) N/A 0.804 0.963 0.022 0. 0. 34.119 0.224 122.227
Problem 133 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 28 28 27 24 34 1 27 34 0
normalized size 1 1. 0.96 0.86 1.21 0.04 0.96 1.21 0.
time (sec) N/A 0.033 0.003 0.002 1.361 0.198 0.043 0.209 0.
Problem 134 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 33 33 32 27 36 1 29 36 0
normalized size 1 1. 0.97 0.82 1.09 0.03 0.88 1.09 0.
time (sec) N/A 0.043 0.002 0.001 7.477 0.196 0.048 0.207 0.
Problem 135 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 60 60 60 51 68 1 58 68 0
normalized size 1 1. 1. 0.85 1.13 0.02 0.97 1.13 0.
time (sec) N/A 0.121 0.003 0.001 6.077 0.194 0.058 0.208 0.
Problem 136 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 33 27 36 1 31 36 31
normalized size 1 1. 1. 0.82 1.09 0.03 0.94 1.09 0.94
time (sec) N/A 0.045 0.002 0. 1.377 0.197 0.05 0.211 6.007
Problem 137 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 60 60 60 51 68 1 60 68 0
normalized size 1 1. 1. 0.85 1.13 0.02 1. 1.13 0.
time (sec) N/A 0.074 0.004 0.001 1.365 0.197 0.059 0.21 0.
Problem 138 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 65 65 65 54 72 1 61 72 0
normalized size 1 1. 1. 0.83 1.11 0.02 0.94 1.11 0.
time (sec) N/A 0.163 0.004 0.001 1.371 0.195 0.06 0.21 0.
Problem 139 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 92 92 92 77 103 1 90 103 0
normalized size 1 1. 1. 0.84 1.12 0.01 0.98 1.12 0.
time (sec) N/A 0.105 0.006 0. 1.408 0.207 0.064 0.21 0.
Problem 140 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 17 17 33 27 20 1 29 22 12
normalized size 1 1. 1.94 1.59 1.18 0.06 1.71 1.29 0.71
time (sec) N/A 0.018 0.001 0.001 1.41 0.204 0.049 0.21 2.565
Problem 141 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 45 45 60 51 68 1 58 68 0
normalized size 1 1. 1.33 1.13 1.51 0.02 1.29 1.51 0.
time (sec) N/A 0.062 0.004 0.001 1.442 0.204 0.059 0.209 0.
Problem 142 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 65 54 72 1 60 72 0
normalized size 1 1. 1.3 1.08 1.44 0.02 1.2 1.44 0.
time (sec) N/A 0.142 0.005 0.001 1.392 0.202 0.06 0.209 0.
Problem 143 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 77 77 92 77 103 1 88 103 0
normalized size 1 1. 1.19 1. 1.34 0.01 1.14 1.34 0.
time (sec) N/A 0.144 0.006 0.001 1.369 0.204 0.066 0.208 0.
Problem 144 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 65 54 72 1 61 72 44
normalized size 1 1. 1. 0.83 1.11 0.02 0.94 1.11 0.68
time (sec) N/A 0.193 0.005 0.002 1.384 0.201 0.06 0.21 14.356
Problem 145 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 77 77 92 77 103 1 90 103 0
normalized size 1 1. 1.19 1. 1.34 0.01 1.17 1.34 0.
time (sec) N/A 0.117 0.006 0.001 1.374 0.202 0.066 0.208 0.
Problem 146 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 97 97 97 80 107 1 92 107 0
normalized size 1 1. 1. 0.82 1.1 0.01 0.95 1.1 0.
time (sec) N/A 0.166 0.007 0.001 6.911 0.203 0.067 0.209 0.
Problem 147 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 109 109 124 103 138 1 121 142 0
normalized size 1 1. 1.14 0.94 1.27 0.01 1.11 1.3 0.
time (sec) N/A 0.163 0.012 0.001 5.935 0.198 0.075 0.215 0.
Problem 148 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 151 151 180 151 203 1 180 208 0
normalized size 1 1. 1.19 1. 1.34 0.01 1.19 1.38 0.
time (sec) N/A 0.224 0.009 0.001 1.369 0.198 0.087 0.209 0.
Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 155 155 220 248 0 0 518 452 138
normalized size 1 1. 1.42 1.6 0. 0. 3.34 2.92 0.89
time (sec) N/A 0.299 0.288 0.007 0. 0. 30.846 0.223 44.39
Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 188 188 253 326 0 0 583 505 173
normalized size 1 1. 1.35 1.73 0. 0. 3.1 2.69 0.92
time (sec) N/A 0.359 0.518 0.008 0. 0. 126.867 0.225 56.985
Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 220 220 286 287 0 0 0 555 204
normalized size 1 1. 1.3 1.3 0. 0. 0. 2.52 0.93
time (sec) N/A 0.437 0.628 0.02 0. 0. 0. 0.223 72.586
Problem 152 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 119 101 78 114 166 366 88 131 90
normalized size 1 0.85 0.66 0.96 1.39 3.08 0.74 1.1 0.76
time (sec) N/A 0.208 0.056 0.004 1.527 0.237 0.784 0.217 18.4
Problem 153 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 22 22 22 16 20 20 19 20 19
normalized size 1 1. 1. 0.73 0.91 0.91 0.86 0.91 0.86
time (sec) N/A 0.036 0.018 0.002 1.515 0.22 0.103 0.213 2.874
Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 141 123 107 129 198 0 88 155 110
normalized size 1 0.87 0.76 0.91 1.4 0. 0.62 1.1 0.78
time (sec) N/A 0.227 0.11 0.004 1.53 0. 0.796 0.222 23.508
Problem 155 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 119 101 78 114 166 385 88 131 90
normalized size 1 0.85 0.66 0.96 1.39 3.24 0.74 1.1 0.76
time (sec) N/A 0.173 0.03 0.004 1.555 0.236 0.762 0.225 19.346
Problem 156 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 141 141 113 226 225 4479 68 177 124
normalized size 1 1. 0.8 1.6 1.6 31.77 0.48 1.26 0.88
time (sec) N/A 0.234 0.092 0.003 1.532 0.41 0.611 0.225 21.986
Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 141 123 99 129 198 0 85 154 110
normalized size 1 0.87 0.7 0.91 1.4 0. 0.6 1.09 0.78
time (sec) N/A 0.24 0.092 0.004 1.536 0. 0.805 0.223 27.042
Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 163 163 129 241 252 0 292 193 144
normalized size 1 1. 0.79 1.48 1.55 0. 1.79 1.18 0.88
time (sec) N/A 0.285 0.165 0.003 1.536 0. 6.004 0.228 30.059
Problem 159 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 13 13 13 12 15 15 10 15 10
normalized size 1 1. 1. 0.92 1.15 1.15 0.77 1.15 0.77
time (sec) N/A 0.011 0.005 0.002 1.396 0.217 0.083 0.217 2.178
Problem 160 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 132 114 108 125 201 389 51 147 102
normalized size 1 0.86 0.82 0.95 1.52 2.95 0.39 1.11 0.77
time (sec) N/A 0.209 0.061 0.004 1.545 0.246 0.504 0.224 23.796
Problem 161 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 36 36 65 28 153 42 53 126 31
normalized size 1 1. 1.81 0.78 4.25 1.17 1.47 3.5 0.86
time (sec) N/A 0.074 0.057 0.004 1.525 0.228 0.497 0.221 9.553
Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 154 136 128 140 231 0 199 169 122
normalized size 1 0.88 0.83 0.91 1.5 0. 1.29 1.1 0.79
time (sec) N/A 0.262 0.13 0.003 1.552 0. 2.269 0.226 31.156
Problem 163 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 132 114 108 125 205 440 70 147 102
normalized size 1 0.86 0.82 0.95 1.55 3.33 0.53 1.11 0.77
time (sec) N/A 0.24 0.049 0.003 1.536 0.24 0.428 0.223 28.371
Problem 164 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 154 154 148 237 263 4869 148 185 136
normalized size 1 1. 0.96 1.54 1.71 31.62 0.96 1.2 0.88
time (sec) N/A 0.284 0.276 0.003 1.552 0.412 2.012 0.226 30.249
Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 154 136 125 140 235 0 189 167 122
normalized size 1 0.88 0.81 0.91 1.53 0. 1.23 1.08 0.79
time (sec) N/A 0.324 0.127 0.005 1.617 0. 2.248 0.225 36.817
Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 176 176 164 252 279 0 580 201 156
normalized size 1 1. 0.93 1.43 1.59 0. 3.3 1.14 0.89
time (sec) N/A 0.339 0.259 0.004 1.561 0. 12.961 0.23 38.979
Problem 167 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 8 8 8 7 8 8 5 9 5
normalized size 1 1. 1. 0.88 1. 1. 0.62 1.12 0.62
time (sec) N/A 0.014 0.002 0.002 1.378 0.214 0.046 0.21 3.659
Problem 168 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 53 53 50 102 103 217 73 95 48
normalized size 1 1. 0.94 1.92 1.94 4.09 1.38 1.79 0.91
time (sec) N/A 0.112 0.064 0.004 1.519 0.242 0.676 0.212 16.612
Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 124 124 203 171 0 0 187 392 109
normalized size 1 1. 1.64 1.38 0. 0. 1.51 3.16 0.88
time (sec) N/A 0.242 0.092 0.005 0. 0. 1.955 0.218 30.322
Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 277 277 283 286 0 0 187 365 255
normalized size 1 1. 1.02 1.03 0. 0. 0.68 1.32 0.92
time (sec) N/A 0.475 0.449 0.004 0. 0. 1.906 0.22 73.588
Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) F(-2) F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 148 148 249 244 0 0 0 539 0
normalized size 1 1. 1.68 1.65 0. 0. 0. 3.64 0.
time (sec) N/A 0.436 0.167 0.006 0. 0. 0. 0.223 0.
Problem 172 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 172 172 221 305 0 0 0 528 158
normalized size 1 1. 1.28 1.77 0. 0. 0. 3.07 0.92
time (sec) N/A 0.343 1.026 0.013 0. 0. 0. 0.223 63.325
Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 221 221 263 344 0 0 0 595 212
normalized size 1 1. 1.19 1.56 0. 0. 0. 2.69 0.96
time (sec) N/A 0.541 0.992 0.02 0. 0. 0. 0.226 96.444
Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 266 266 313 384 0 0 0 662 255
normalized size 1 1. 1.18 1.44 0. 0. 0. 2.49 0.96
time (sec) N/A 0.649 0.629 0.021 0. 0. 0. 0.221 119.523
Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 319 319 311 429 0 0 0 459 0
normalized size 1 1. 0.97 1.34 0. 0. 0. 1.44 0.
time (sec) N/A 0.778 0.768 0.007 0. 0. 0. 0.222 0.
Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 341 341 319 484 0 0 0 493 325
normalized size 1 1. 0.94 1.42 0. 0. 0. 1.45 0.95
time (sec) N/A 0.667 0.375 0.013 0. 0. 0. 0.222 115.932
Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 394 394 366 521 0 0 0 562 386
normalized size 1 1. 0.93 1.32 0. 0. 0. 1.43 0.98
time (sec) N/A 0.93 0.596 0.018 0. 0. 0. 0.226 149.134
Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 437 437 411 562 0 0 0 629 428
normalized size 1 1. 0.94 1.29 0. 0. 0. 1.44 0.98
time (sec) N/A 1.092 0.695 0.021 0. 0. 0. 0.222 177.693
Problem 179 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 11 11 9 8 20 20 15 20 7
normalized size 1 1. 0.82 0.73 1.82 1.82 1.36 1.82 0.64
time (sec) N/A 0.013 0.003 0.001 1.423 0.207 0.073 0.211 4.08
Problem 180 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 11 11 14 8 16 16 8 16 7
normalized size 1 1. 1.27 0.73 1.45 1.45 0.73 1.45 0.64
time (sec) N/A 0.014 0.001 0.002 1.371 0.214 0.065 0.209 4.064
Problem 181 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 9 9 9 8 9 9 5 9 0
normalized size 1 1. 1. 0.89 1. 1. 0.56 1. 0.
time (sec) N/A 0.012 0.001 0.003 1.388 0.21 0.043 0.21 0.
Problem 182 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 8 8 8 7 8 8 5 9 5
normalized size 1 1. 1. 0.88 1. 1. 0.62 1.12 0.62
time (sec) N/A 0.013 0.002 0. 1.368 0.213 0.045 0.21 3.648
Problem 183 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 7 7 7 8 9 9 5 9 3
normalized size 1 1. 1. 1.14 1.29 1.29 0.71 1.29 0.43
time (sec) N/A 0.013 0.002 0.002 6.695 0.214 0.085 0.21 4.167
Problem 184 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 11 11 9 8 16 16 10 9 7
normalized size 1 1. 0.82 0.73 1.45 1.45 0.91 0.82 0.64
time (sec) N/A 0.016 0.003 0.003 5.949 0.221 0.111 0.211 4.297
Problem 185 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 11 11 9 8 23 23 17 9 7
normalized size 1 1. 0.82 0.73 2.09 2.09 1.55 0.82 0.64
time (sec) N/A 0.015 0.002 0.002 1.398 0.21 0.123 0.21 4.3
Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) F(-2) F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 165 165 256 296 0 0 0 539 0
normalized size 1 1. 1.55 1.79 0. 0. 0. 3.27 0.
time (sec) N/A 0.526 0.551 0.009 0. 0. 0. 0.226 0.
Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) F(-1) F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 188 188 301 367 0 0 0 807 0
normalized size 1 1. 1.6 1.95 0. 0. 0. 4.29 0.
time (sec) N/A 0.65 0.8 0.009 0. 0. 0. 0.23 0.
Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) F(-1) F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 205 205 318 393 0 0 0 828 0
normalized size 1 1. 1.55 1.92 0. 0. 0. 4.04 0.
time (sec) N/A 0.658 1.031 0.009 0. 0. 0. 0.23 0.
Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 337 337 342 462 0 0 0 506 0
normalized size 1 1. 1.01 1.37 0. 0. 0. 1.5 0.
time (sec) N/A 0.874 0.743 0.007 0. 0. 0. 0.223 0.
Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) F(-1) F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 384 384 427 603 0 0 0 759 0
normalized size 1 1. 1.11 1.57 0. 0. 0. 1.98 0.
time (sec) N/A 1.235 0.587 0.007 0. 0. 0. 0.228 0.
Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) F(-1) F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 402 402 445 627 0 0 0 780 0
normalized size 1 1. 1.11 1.56 0. 0. 0. 1.94 0.
time (sec) N/A 1.248 0.627 0.007 0. 0. 0. 0.227 0.
Problem 192 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 184 184 257 372 0 0 0 574 167
normalized size 1 1. 1.4 2.02 0. 0. 0. 3.12 0.91
time (sec) N/A 0.462 0.303 0.013 0. 0. 0. 0.225 79.126
Problem 193 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 203 203 302 441 0 0 0 848 194
normalized size 1 1. 1.49 2.17 0. 0. 0. 4.18 0.96
time (sec) N/A 0.593 0.447 0.013 0. 0. 0. 0.23 86.02
Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) F(-1) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 225 225 338 466 0 0 0 884 212
normalized size 1 1. 1.5 2.07 0. 0. 0. 3.93 0.94
time (sec) N/A 0.744 0.459 0.015 0. 0. 0. 0.23 131.579
Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 353 353 359 519 0 0 0 537 333
normalized size 1 1. 1.02 1.47 0. 0. 0. 1.52 0.94
time (sec) N/A 0.779 0.472 0.013 0. 0. 0. 0.224 131.176
Problem 196 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 395 395 415 658 0 0 0 795 364
normalized size 1 1. 1.05 1.67 0. 0. 0. 2.01 0.92
time (sec) N/A 1.164 0.715 0.016 0. 0. 0. 0.232 139.125
Problem 197 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 417 417 460 682 0 0 0 833 0
normalized size 1 1. 1.1 1.64 0. 0. 0. 2. 0.
time (sec) N/A 1.278 0.708 0.016 0. 0. 0. 0.229 0.
Problem 198 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 241 241 309 418 0 0 0 656 226
normalized size 1 1. 1.28 1.73 0. 0. 0. 2.72 0.94
time (sec) N/A 0.71 0.555 0.017 0. 0. 0. 0.229 117.367
Problem 199 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 268 268 359 501 0 0 0 942 252
normalized size 1 1. 1.34 1.87 0. 0. 0. 3.51 0.94
time (sec) N/A 0.959 0.674 0.017 0. 0. 0. 0.236 127.972
Problem 200 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 285 285 380 517 0 0 0 986 267
normalized size 1 1. 1.33 1.81 0. 0. 0. 3.46 0.94
time (sec) N/A 0.924 0.543 0.017 0. 0. 0. 0.232 141.004
Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 413 413 411 562 0 0 0 620 400
normalized size 1 1. 1. 1.36 0. 0. 0. 1.5 0.97
time (sec) N/A 1.122 0.674 0.019 0. 0. 0. 0.225 170.297
Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 463 463 473 717 0 0 0 892 0
normalized size 1 1. 1.02 1.55 0. 0. 0. 1.93 0.
time (sec) N/A 1.566 1.126 0.019 0. 0. 0. 0.23 0.
Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 480 480 500 732 0 0 0 936 0
normalized size 1 1. 1.04 1.52 0. 0. 0. 1.95 0.
time (sec) N/A 1.559 0.973 0.016 0. 0. 0. 0.234 0.
Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 293 293 360 463 0 0 0 738 274
normalized size 1 1. 1.23 1.58 0. 0. 0. 2.52 0.94
time (sec) N/A 0.9 0.764 0.021 0. 0. 0. 0.224 145.162
Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 331 331 422 551 0 0 0 1 304
normalized size 1 1. 1.27 1.66 0. 0. 0. 0. 0.92
time (sec) N/A 1.278 0.742 0.02 0. 0. 0. 0.225 155.188
Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 349 349 439 567 0 0 0 1 321
normalized size 1 1. 1.26 1.62 0. 0. 0. 0. 0.92
time (sec) N/A 1.247 0.744 0.02 0. 0. 0. 0.226 168.366
Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 462 462 461 608 0 0 0 703 0
normalized size 1 1. 1. 1.32 0. 0. 0. 1.52 0.
time (sec) N/A 1.327 0.867 0.02 0. 0. 0. 0.225 0.
Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 516 516 530 768 0 0 0 992 0
normalized size 1 1. 1.03 1.49 0. 0. 0. 1.92 0.
time (sec) N/A 1.909 1.383 0.023 0. 0. 0. 0.23 0.
Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 534 534 555 784 0 0 0 1035 0
normalized size 1 1. 1.04 1.47 0. 0. 0. 1.94 0.
time (sec) N/A 1.861 1.124 0.02 0. 0. 0. 0.228 0.
Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 121 121 107 96 0 0 61 0 109
normalized size 1 1. 0.88 0.79 0. 0. 0.5 0. 0.9
time (sec) N/A 0.154 0.266 0.006 0. 0. 2.812 0. 13.384
Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 87 87 106 90 0 0 95 0 78
normalized size 1 1. 1.22 1.03 0. 0. 1.09 0. 0.9
time (sec) N/A 0.137 0.269 0.006 0. 0. 2.995 0. 14.944
Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 108 95 0 0 90 0 78
normalized size 1 1. 1.21 1.07 0. 0. 1.01 0. 0.88
time (sec) N/A 0.138 0.246 0.023 0. 0. 3.013 0. 15.576
Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 127 127 113 101 0 0 66 0 112
normalized size 1 1. 0.89 0.8 0. 0. 0.52 0. 0.88
time (sec) N/A 0.156 0.269 0.023 0. 0. 2.921 0. 14.866
Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 257 257 201 193 0 0 102 0 233
normalized size 1 1. 0.78 0.75 0. 0. 0.4 0. 0.91
time (sec) N/A 0.312 0.349 0.006 0. 0. 3.364 0. 30.6
Problem 215 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 14 14 14 13 16 16 80 16 12
normalized size 1 1. 1. 0.93 1.14 1.14 5.71 1.14 0.86
time (sec) N/A 0.012 0.025 0.006 1.555 0.216 13.529 0.215 6.023
Problem 216 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 29 29 29 24 34 46 104 43 22
normalized size 1 1. 1. 0.83 1.17 1.59 3.59 1.48 0.76
time (sec) N/A 0.05 0.041 0.007 1.453 0.217 19.287 0.215 12.11
Problem 217 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 25 25 27 24 31 45 109 30 22
normalized size 1 1. 1.08 0.96 1.24 1.8 4.36 1.2 0.88
time (sec) N/A 0.054 0.044 0.005 1.46 0.218 20.008 0.217 14.008
Problem 218 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 38 38 38 35 59 59 133 42 37
normalized size 1 1. 1. 0.92 1.55 1.55 3.5 1.11 0.97
time (sec) N/A 0.061 0.055 0.005 7.141 0.223 26.051 0.219 16.536
Problem 219 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 12 12 12 11 14 14 58 14 10
normalized size 1 1. 1. 0.92 1.17 1.17 4.83 1.17 0.83
time (sec) N/A 0.009 0.014 0.007 5.83 0.215 3.786 0.211 2.95
Problem 220 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 385 385 275 516 0 0 260 0 335
normalized size 1 1. 0.71 1.34 0. 0. 0.68 0. 0.87
time (sec) N/A 0.946 1.039 0.01 0. 0. 8.943 0. 125.926
Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A F C B F F(-2) A A F
verified N/A N/A Yes TBD TBD TBD TBD TBD TBD
size 109 0 51 173 0 0 36 136 0
normalized size 1 0. 0.47 1.59 0. 0. 0.33 1.25 0.
time (sec) N/A 0.049 0.017 0.033 0. 0. 0.799 0.22 0.
Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A F C B F F(-2) A A F
verified N/A N/A Yes TBD TBD TBD TBD TBD TBD
size 109 0 47 169 0 0 36 136 0
normalized size 1 0. 0.43 1.55 0. 0. 0.33 1.25 0.
time (sec) N/A 0.053 0.017 0.024 0. 0. 0.789 0.221 0.
Problem 223 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 208 208 187 266 282 284 192 332 0
normalized size 1 1. 0.9 1.28 1.36 1.37 0.92 1.6 0.
time (sec) N/A 0.609 0.164 0.007 1.401 0.232 2.422 0.213 0.
Problem 224 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 170 170 154 218 228 230 155 266 0
normalized size 1 1. 0.91 1.28 1.34 1.35 0.91 1.56 0.
time (sec) N/A 0.473 0.138 0.006 1.456 0.228 2.322 0.214 0.
Problem 225 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 132 132 119 170 174 176 117 200 0
normalized size 1 1. 0.9 1.29 1.32 1.33 0.89 1.52 0.
time (sec) N/A 0.347 0.101 0.005 1.416 0.226 2.234 0.214 0.
Problem 226 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 96 96 88 124 123 124 83 136 0
normalized size 1 1. 0.92 1.29 1.28 1.29 0.86 1.42 0.
time (sec) N/A 0.279 0.076 0.004 1.399 0.213 2.055 0.214 0.
Problem 227 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 80 80 75 97 104 108 68 107 0
normalized size 1 1. 0.94 1.21 1.3 1.35 0.85 1.34 0.
time (sec) N/A 0.221 0.055 0.009 7.327 0.247 9.66 0.21 0.
Problem 228 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 77 94 104 115 70 128 0
normalized size 1 1. 0.95 1.16 1.28 1.42 0.86 1.58 0.
time (sec) N/A 0.211 0.075 0.013 1.422 0.239 23.063 0.214 0.
Problem 229 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 95 95 88 116 126 136 85 170 87
normalized size 1 1. 0.93 1.22 1.33 1.43 0.89 1.79 0.92
time (sec) N/A 0.243 0.139 0.011 1.385 0.248 92.422 0.216 44.451
Problem 230 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 128 128 128 161 169 171 0 248 117
normalized size 1 1. 1. 1.26 1.32 1.34 0. 1.94 0.91
time (sec) N/A 0.307 0.13 0.012 1.434 0.237 0. 0.214 50.163
Problem 231 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 164 164 164 210 224 227 0 317 153
normalized size 1 1. 1. 1.28 1.37 1.38 0. 1.93 0.93
time (sec) N/A 0.358 0.132 0.014 1.486 0.261 0. 0.214 56.396
Problem 232 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 205 205 194 260 281 284 0 387 190
normalized size 1 1. 0.95 1.27 1.37 1.39 0. 1.89 0.93
time (sec) N/A 0.444 0.407 0.013 1.442 0.284 0. 0.215 67.121
Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 348 348 351 592 0 481 450 613 0
normalized size 1 1. 1.01 1.7 0. 1.38 1.29 1.76 0.
time (sec) N/A 0.774 0.145 0.008 0. 0.223 3.698 0.218 0.
Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 316 316 311 554 0 462 496 595 0
normalized size 1 1. 0.98 1.75 0. 1.46 1.57 1.88 0.
time (sec) N/A 0.697 0.183 0.006 0. 0.221 2.937 0.22 0.
Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 312 312 306 544 0 429 411 541 0
normalized size 1 1. 0.98 1.74 0. 1.38 1.32 1.73 0.
time (sec) N/A 0.664 0.171 0.007 0. 0.219 3.671 0.215 0.
Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 279 279 266 502 0 410 459 521 0
normalized size 1 1. 0.95 1.8 0. 1.47 1.65 1.87 0.
time (sec) N/A 0.615 0.165 0.006 0. 0.221 2.842 0.219 0.
Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 274 274 264 492 0 355 371 467 0
normalized size 1 1. 0.96 1.8 0. 1.3 1.35 1.7 0.
time (sec) N/A 0.593 0.17 0.005 0. 0.223 3.449 0.219 0.
Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 245 245 231 450 0 313 422 466 0
normalized size 1 1. 0.94 1.84 0. 1.28 1.72 1.9 0.
time (sec) N/A 0.48 0.296 0.005 0. 0.222 2.894 0.219 0.
Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 240 240 229 442 0 312 340 414 0
normalized size 1 1. 0.95 1.84 0. 1.3 1.42 1.72 0.
time (sec) N/A 0.342 0.297 0.004 0. 0.219 3.601 0.217 0.
Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 227 227 224 419 0 312 406 428 0
normalized size 1 1. 0.99 1.85 0. 1.37 1.79 1.89 0.
time (sec) N/A 0.413 0.264 0.009 0. 0.242 5.126 0.219 0.
Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 224 224 218 414 0 304 326 378 0
normalized size 1 1. 0.97 1.85 0. 1.36 1.46 1.69 0.
time (sec) N/A 0.379 0.204 0.007 0. 0.245 6.096 0.217 0.
Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 227 227 220 412 0 312 411 417 0
normalized size 1 1. 0.97 1.81 0. 1.37 1.81 1.84 0.
time (sec) N/A 0.429 0.198 0.01 0. 0.246 16.625 0.219 0.
Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 225 225 220 410 0 313 328 370 0
normalized size 1 1. 0.98 1.82 0. 1.39 1.46 1.64 0.
time (sec) N/A 0.381 0.154 0.012 0. 0.239 20.54 0.218 0.
Problem 244 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 242 242 231 440 0 333 432 444 224
normalized size 1 1. 0.95 1.82 0. 1.38 1.79 1.83 0.93
time (sec) N/A 0.427 0.207 0.01 0. 0.239 62.55 0.221 63.913
Problem 245 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 244 244 231 441 0 319 348 401 228
normalized size 1 1. 0.95 1.81 0. 1.31 1.43 1.64 0.93
time (sec) N/A 0.41 0.208 0.01 0. 0.222 106.427 0.217 65.842
Problem 246 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 277 277 266 491 0 389 0 508 257
normalized size 1 1. 0.96 1.77 0. 1.4 0. 1.83 0.93
time (sec) N/A 0.502 0.205 0.013 0. 0.226 0. 0.221 78.67
Problem 247 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 280 280 266 493 0 427 0 456 260
normalized size 1 1. 0.95 1.76 0. 1.52 0. 1.63 0.93
time (sec) N/A 0.472 0.215 0.011 0. 0.224 0. 0.218 84.07
Problem 248 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 313 313 308 546 0 464 0 566 291
normalized size 1 1. 0.98 1.74 0. 1.48 0. 1.81 0.93
time (sec) N/A 0.56 0.183 0.012 0. 0.219 0. 0.221 101.679
Problem 249 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 315 315 311 548 0 481 0 531 294
normalized size 1 1. 0.99 1.74 0. 1.53 0. 1.69 0.93
time (sec) N/A 0.515 0.189 0.012 0. 0.224 0. 0.217 113.806
Problem 250 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 351 351 346 600 0 514 0 640 326
normalized size 1 1. 0.99 1.71 0. 1.46 0. 1.82 0.93
time (sec) N/A 0.599 0.203 0.014 0. 0.219 0. 0.219 155.236
Problem 251 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 220 220 205 288 300 409 224 405 0
normalized size 1 1. 0.93 1.31 1.36 1.86 1.02 1.84 0.
time (sec) N/A 0.698 0.362 0.018 1.385 0.204 19.494 0.215 0.
Problem 252 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 180 180 167 240 243 347 180 335 0
normalized size 1 1. 0.93 1.33 1.35 1.93 1. 1.86 0.
time (sec) N/A 0.532 0.236 0.019 1.409 0.205 19.188 0.215 0.
Problem 253 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 140 140 129 192 186 273 138 293 0
normalized size 1 1. 0.92 1.37 1.33 1.95 0.99 2.09 0.
time (sec) N/A 0.37 0.181 0.016 1.375 0.233 18.429 0.217 0.
Problem 254 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 103 103 93 142 132 193 97 278 0
normalized size 1 1. 0.9 1.38 1.28 1.87 0.94 2.7 0.
time (sec) N/A 0.299 0.107 0.016 9.605 0.216 16.574 0.216 0.
Problem 255 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 100 100 95 125 135 196 95 169 0
normalized size 1 1. 0.95 1.25 1.35 1.96 0.95 1.69 0.
time (sec) N/A 0.249 0.229 0.023 1.387 0.243 54.843 0.214 0.
Problem 256 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 109 109 97 132 157 232 0 177 102
normalized size 1 1. 0.89 1.21 1.44 2.13 0. 1.62 0.94
time (sec) N/A 0.278 0.137 0.021 1.381 0.233 0. 0.216 48.479
Problem 257 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 130 130 118 167 186 281 0 271 124
normalized size 1 1. 0.91 1.28 1.43 2.16 0. 2.08 0.95
time (sec) N/A 0.316 0.219 0.023 1.375 0.229 0. 0.215 51.091
Problem 258 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 175 175 160 229 244 352 0 371 170
normalized size 1 1. 0.91 1.31 1.39 2.01 0. 2.12 0.97
time (sec) N/A 0.426 0.197 0.034 1.387 0.243 0. 0.216 61.851
Problem 259 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 214 214 198 282 305 419 0 447 216
normalized size 1 1. 0.93 1.32 1.43 1.96 0. 2.09 1.01
time (sec) N/A 0.53 0.462 0.029 1.395 0.278 0. 0.22 72.915
Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 369 369 364 622 0 678 490 609 0
normalized size 1 1. 0.99 1.69 0. 1.84 1.33 1.65 0.
time (sec) N/A 0.974 0.88 0.015 0. 0.225 18.41 0.216 0.
Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 335 335 319 584 0 645 530 597 0
normalized size 1 1. 0.95 1.74 0. 1.93 1.58 1.78 0.
time (sec) N/A 1.42 0.325 0.017 0. 0.264 54.349 0.22 0.
Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 328 328 315 567 0 590 440 532 0
normalized size 1 1. 0.96 1.73 0. 1.8 1.34 1.62 0.
time (sec) N/A 0.803 0.517 0.016 0. 0.241 18.548 0.216 0.
Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 298 298 282 529 0 541 484 537 0
normalized size 1 1. 0.95 1.78 0. 1.82 1.62 1.8 0.
time (sec) N/A 0.969 0.303 0.015 0. 0.239 51.18 0.219 0.
Problem 264 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 288 288 277 514 0 531 398 471 284
normalized size 1 1. 0.96 1.78 0. 1.84 1.38 1.64 0.99
time (sec) N/A 0.679 0.299 0.015 0. 0.236 17.627 0.219 141.744
Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 271 271 255 495 0 513 461 494 0
normalized size 1 1. 0.94 1.83 0. 1.89 1.7 1.82 0.
time (sec) N/A 0.618 0.275 0.014 0. 0.236 28.368 0.219 0.
Problem 266 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 264 264 251 482 0 494 376 433 258
normalized size 1 1. 0.95 1.83 0. 1.87 1.42 1.64 0.98
time (sec) N/A 0.597 0.282 0.013 0. 0.236 11.754 0.217 105.473
Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 265 265 255 474 0 510 457 477 0
normalized size 1 1. 0.96 1.79 0. 1.92 1.72 1.8 0.
time (sec) N/A 0.595 0.29 0.018 0. 0.238 49.411 0.219 0.
Problem 268 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 260 260 250 463 0 522 381 417 250
normalized size 1 1. 0.96 1.78 0. 2.01 1.47 1.6 0.96
time (sec) N/A 0.573 0.283 0.016 0. 0.239 107.283 0.217 132.498
Problem 269 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 269 269 255 486 0 532 0 483 270
normalized size 1 1. 0.95 1.81 0. 1.98 0. 1.8 1.
time (sec) N/A 0.656 0.301 0.022 0. 0.237 0. 0.22 139.282
Problem 270 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 270 270 253 477 0 518 0 429 274
normalized size 1 1. 0.94 1.77 0. 1.92 0. 1.59 1.01
time (sec) N/A 0.646 0.293 0.019 0. 0.246 0. 0.22 141.426
Problem 271 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 297 297 281 529 0 570 0 522 299
normalized size 1 1. 0.95 1.78 0. 1.92 0. 1.76 1.01
time (sec) N/A 0.785 0.341 0.021 0. 0.248 0. 0.219 147.304
Problem 272 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 297 297 280 520 0 555 0 468 303
normalized size 1 1. 0.94 1.75 0. 1.87 0. 1.58 1.02
time (sec) N/A 0.759 0.335 0.02 0. 0.252 0. 0.217 153.905
Problem 273 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 334 334 319 575 0 632 0 590 326
normalized size 1 1. 0.96 1.72 0. 1.89 0. 1.77 0.98
time (sec) N/A 0.949 0.343 0.025 0. 0.247 0. 0.218 162.534
Problem 274 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 335 335 317 566 0 670 0 528 330
normalized size 1 1. 0.95 1.69 0. 2. 0. 1.58 0.99
time (sec) N/A 0.966 0.345 0.023 0. 0.233 0. 0.218 172.126
Problem 275 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 375 375 370 631 0 721 0 651 0
normalized size 1 1. 0.99 1.68 0. 1.92 0. 1.74 0.
time (sec) N/A 1.134 0.794 0.024 0. 0.229 0. 0.218 0.
Problem 276 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 266 266 246 361 371 535 0 471 0
normalized size 1 1. 0.92 1.36 1.39 2.01 0. 1.77 0.
time (sec) N/A 0.867 0.272 0.021 1.379 0.205 0. 0.219 0.
Problem 277 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 226 226 208 313 315 477 0 402 0
normalized size 1 1. 0.92 1.38 1.39 2.11 0. 1.78 0.
time (sec) N/A 0.699 0.231 0.022 1.444 0.206 0. 0.216 0.
Problem 278 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 186 186 170 266 258 398 0 319 0
normalized size 1 1. 0.91 1.43 1.39 2.14 0. 1.72 0.
time (sec) N/A 0.549 0.189 0.02 1.446 0.207 0. 0.218 0.
Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 146 146 145 213 198 304 0 197 0
normalized size 1 1. 0.99 1.46 1.36 2.08 0. 1.35 0.
time (sec) N/A 0.388 0.135 0.017 1.382 0.207 0. 0.215 0.
Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 109 109 105 156 147 213 0 135 0
normalized size 1 1. 0.96 1.43 1.35 1.95 0. 1.24 0.
time (sec) N/A 0.304 0.102 0.016 1.382 0.203 0. 0.216 0.
Problem 281 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 114 114 104 147 174 252 0 173 105
normalized size 1 1. 0.91 1.29 1.53 2.21 0. 1.52 0.92
time (sec) N/A 0.298 0.199 0.02 1.389 0.223 0. 0.215 54.648
Problem 282 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 134 134 121 163 194 338 0 234 124
normalized size 1 1. 0.9 1.22 1.45 2.52 0. 1.75 0.93
time (sec) N/A 0.344 0.172 0.025 1.39 0.273 0. 0.216 57.161
Problem 283 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 163 163 149 213 246 427 0 255 156
normalized size 1 1. 0.91 1.31 1.51 2.62 0. 1.56 0.96
time (sec) N/A 0.402 0.212 0.025 1.384 0.28 0. 0.216 61.975
Problem 284 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 218 218 200 293 313 535 0 437 212
normalized size 1 1. 0.92 1.34 1.44 2.45 0. 2. 0.97
time (sec) N/A 0.543 0.28 0.03 1.431 0.31 0. 0.218 79.393
Problem 285 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 258 258 238 349 378 605 0 513 262
normalized size 1 1. 0.92 1.35 1.47 2.34 0. 1.99 1.02
time (sec) N/A 0.671 0.416 0.03 1.393 0.299 0. 0.217 91.934
Problem 286 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 416 416 411 706 0 919 0 675 0
normalized size 1 1. 0.99 1.7 0. 2.21 0. 1.62 0.
time (sec) N/A 1.461 0.973 0.021 0. 0.246 0. 0.217 0.
Problem 287 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 384 384 380 668 0 887 0 663 0
normalized size 1 1. 0.99 1.74 0. 2.31 0. 1.73 0.
time (sec) N/A 2.052 0.978 0.021 0. 0.241 0. 0.224 0.
Problem 288 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 375 375 362 651 0 832 0 598 0
normalized size 1 1. 0.97 1.74 0. 2.22 0. 1.59 0.
time (sec) N/A 1.253 0.96 0.02 0. 0.242 0. 0.217 0.
Problem 289 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 345 345 329 611 0 780 0 601 0
normalized size 1 1. 0.95 1.77 0. 2.26 0. 1.74 0.
time (sec) N/A 1.528 0.416 0.019 0. 0.238 0. 0.221 0.
Problem 290 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 336 336 323 596 0 779 0 539 0
normalized size 1 1. 0.96 1.77 0. 2.32 0. 1.6 0.
time (sec) N/A 1.038 0.756 0.019 0. 0.234 0. 0.218 0.
Problem 291 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 316 316 300 574 0 747 0 558 0
normalized size 1 1. 0.95 1.82 0. 2.36 0. 1.77 0.
time (sec) N/A 1.018 0.394 0.017 0. 0.237 0. 0.222 0.
Problem 292 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 307 307 294 561 0 728 0 495 0
normalized size 1 1. 0.96 1.83 0. 2.37 0. 1.61 0.
time (sec) N/A 0.88 0.373 0.017 0. 0.23 0. 0.219 0.
Problem 293 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 301 301 284 550 0 711 0 522 291
normalized size 1 1. 0.94 1.83 0. 2.36 0. 1.73 0.97
time (sec) N/A 0.805 0.38 0.017 0. 0.222 0. 0.221 128.405
Problem 294 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 292 292 279 539 0 710 0 463 289
normalized size 1 1. 0.96 1.85 0. 2.43 0. 1.59 0.99
time (sec) N/A 0.685 0.356 0.017 0. 0.219 0. 0.219 116.6
Problem 295 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 303 303 286 547 0 741 0 525 286
normalized size 1 1. 0.94 1.81 0. 2.45 0. 1.73 0.94
time (sec) N/A 0.805 0.417 0.02 0. 0.222 0. 0.222 145.367
Problem 296 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 301 301 283 539 0 737 0 486 287
normalized size 1 1. 0.94 1.79 0. 2.45 0. 1.61 0.95
time (sec) N/A 0.786 0.409 0.02 0. 0.266 0. 0.218 148.259
Problem 297 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 317 317 303 574 0 765 0 547 0
normalized size 1 1. 0.96 1.81 0. 2.41 0. 1.73 0.
time (sec) N/A 0.899 0.432 0.023 0. 0.24 0. 0.221 0.
Problem 298 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 316 316 299 566 0 752 0 491 0
normalized size 1 1. 0.95 1.79 0. 2.38 0. 1.55 0.
time (sec) N/A 0.88 0.427 0.023 0. 0.227 0. 0.218 0.
Problem 299 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 343 343 328 611 0 809 0 586 0
normalized size 1 1. 0.96 1.78 0. 2.36 0. 1.71 0.
time (sec) N/A 1.148 0.461 0.024 0. 0.223 0. 0.221 0.
Problem 300 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 341 341 324 603 0 794 0 532 0
normalized size 1 1. 0.95 1.77 0. 2.33 0. 1.56 0.
time (sec) N/A 1.12 0.481 0.025 0. 0.224 0. 0.22 0.
Problem 301 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 381 381 366 659 0 873 0 656 0
normalized size 1 1. 0.96 1.73 0. 2.29 0. 1.72 0.
time (sec) N/A 1.406 0.85 0.025 0. 0.231 0. 0.22 0.
Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 380 380 376 651 0 911 0 594 0
normalized size 1 1. 0.99 1.71 0. 2.4 0. 1.56 0.
time (sec) N/A 1.395 0.869 0.026 0. 0.222 0. 0.218 0.
Problem 303 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 424 424 419 716 0 963 0 717 0
normalized size 1 1. 0.99 1.69 0. 2.27 0. 1.69 0.
time (sec) N/A 1.702 1.088 0.03 0. 0.244 0. 0.222 0.
Problem 304 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 54 54 59 45 59 77 53 61 0
normalized size 1 1. 1.09 0.83 1.09 1.43 0.98 1.13 0.
time (sec) N/A 0.136 0.026 0.009 1.522 0.216 0.159 0.212 0.
Problem 305 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 30 30 30 25 32 32 24 34 0
normalized size 1 1. 1. 0.83 1.07 1.07 0.8 1.13 0.
time (sec) N/A 0.069 0.007 0.007 1.525 0.208 0.094 0.211 0.
Problem 306 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 44 44 53 38 50 65 44 51 41
normalized size 1 1. 1.2 0.86 1.14 1.48 1. 1.16 0.93
time (sec) N/A 0.112 0.015 0.008 1.534 0.213 0.172 0.21 17.797
Problem 307 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 50 35 46 55 42 47 39
normalized size 1 1. 1.22 0.85 1.12 1.34 1.02 1.15 0.95
time (sec) N/A 0.083 0.013 0.007 1.52 0.214 0.167 0.212 12.45
Problem 308 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 42 42 53 37 49 65 46 51 42
normalized size 1 1. 1.26 0.88 1.17 1.55 1.1 1.21 1.
time (sec) N/A 0.1 0.014 0.01 1.518 0.215 0.27 0.212 14.542
Problem 309 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 49 49 60 44 58 81 49 61 46
normalized size 1 1. 1.22 0.9 1.18 1.65 1. 1.24 0.94
time (sec) N/A 0.102 0.028 0.011 1.526 0.217 0.279 0.211 14.789
Problem 310 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 32 27 38 45 27 39 27
normalized size 1 1. 1. 0.84 1.19 1.41 0.84 1.22 0.84
time (sec) N/A 0.062 0.008 0.011 1.526 0.223 0.132 0.211 12.334
Problem 311 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 47 35 46 57 42 47 39
normalized size 1 1. 1.15 0.85 1.12 1.39 1.02 1.15 0.95
time (sec) N/A 0.081 0.014 0.007 1.582 0.235 0.167 0.211 11.52
Problem 312 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 39 39 53 33 43 53 41 45 37
normalized size 1 1. 1.36 0.85 1.1 1.36 1.05 1.15 0.95
time (sec) N/A 0.083 0.021 0.008 1.523 0.239 0.156 0.211 11.117
Problem 313 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 50 41 54 1 46 57 0
normalized size 1 1. 1. 0.82 1.08 0.02 0.92 1.14 0.
time (sec) N/A 0.059 0.006 0.002 1.377 0.204 0.047 0.207 0.
Problem 314 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 55 55 55 44 58 1 49 61 0
normalized size 1 1. 1. 0.8 1.05 0.02 0.89 1.11 0.
time (sec) N/A 0.077 0.004 0.001 1.398 0.2 0.049 0.208 0.
Problem 315 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 55 55 55 44 58 1 49 61 49
normalized size 1 1. 1. 0.8 1.05 0.02 0.89 1.11 0.89
time (sec) N/A 0.101 0.004 0.002 1.422 0.192 0.05 0.211 13.18
Problem 316 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 77 92 92 77 103 1 88 107 0
normalized size 1 1.19 1.19 1. 1.34 0.01 1.14 1.39 0.
time (sec) N/A 0.114 0.005 0.002 1.42 0.192 0.066 0.208 0.
Problem 317 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 97 97 97 80 107 1 94 111 0
normalized size 1 1. 1. 0.82 1.1 0.01 0.97 1.14 0.
time (sec) N/A 0.145 0.006 0.001 1.377 0.189 0.069 0.209 0.
Problem 318 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 97 80 107 1 92 111 75
normalized size 1 1. 1. 0.82 1.1 0.01 0.95 1.14 0.77
time (sec) N/A 0.161 0.006 0. 1.376 0.183 0.066 0.209 35.103
Problem 319 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 134 134 134 113 151 1 134 157 0
normalized size 1 1. 1. 0.84 1.13 0.01 1. 1.17 0.
time (sec) N/A 0.184 0.006 0.002 1.404 0.186 0.076 0.209 0.
Problem 320 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 139 139 139 116 155 1 138 161 0
normalized size 1 1. 1. 0.83 1.12 0.01 0.99 1.16 0.
time (sec) N/A 0.213 0.006 0.001 1.413 0.186 0.078 0.21 0.
Problem 321 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 139 139 139 116 155 1 138 161 107
normalized size 1 1. 1. 0.83 1.12 0.01 0.99 1.16 0.77
time (sec) N/A 0.251 0.008 0.001 1.371 0.185 0.079 0.209 34.641
Problem 322 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 173 173 173 148 198 1 178 205 0
normalized size 1 1. 1. 0.86 1.14 0.01 1.03 1.18 0.
time (sec) N/A 0.26 0.008 0.002 1.415 0.185 0.089 0.21 0.
Problem 323 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 181 181 181 152 204 1 185 211 0
normalized size 1 1. 1. 0.84 1.13 0.01 1.02 1.17 0.
time (sec) N/A 0.306 0.008 0.001 1.425 0.182 0.089 0.21 0.
Problem 324 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 181 181 181 152 204 1 184 211 136
normalized size 1 1. 1. 0.84 1.13 0.01 1.02 1.17 0.75
time (sec) N/A 0.333 0.008 0.002 1.377 0.185 0.089 0.209 42.262
Problem 325 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 205 205 191 231 0 0 178 302 0
normalized size 1 1. 0.93 1.13 0. 0. 0.87 1.47 0.
time (sec) N/A 0.529 0.227 0.005 0. 0. 2.889 0.216 0.
Problem 326 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 193 193 184 221 0 0 150 285 0
normalized size 1 1. 0.95 1.15 0. 0. 0.78 1.48 0.
time (sec) N/A 0.497 0.166 0.006 0. 0. 2.82 0.215 0.
Problem 327 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 183 183 200 209 0 0 160 257 0
normalized size 1 1. 1.09 1.14 0. 0. 0.87 1.4 0.
time (sec) N/A 0.469 0.126 0.004 0. 0. 2.959 0.216 0.
Problem 328 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 177 177 176 200 0 0 160 246 163
normalized size 1 1. 0.99 1.13 0. 0. 0.9 1.39 0.92
time (sec) N/A 0.291 0.189 0.003 0. 0. 2.25 0.217 43.474
Problem 329 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 184 184 176 207 0 0 0 267 170
normalized size 1 1. 0.96 1.12 0. 0. 0. 1.45 0.92
time (sec) N/A 0.433 0.187 0.008 0. 0. 0. 0.216 72.579
Problem 330 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 192 192 184 216 0 0 0 279 175
normalized size 1 1. 0.96 1.12 0. 0. 0. 1.45 0.91
time (sec) N/A 0.46 0.501 0.01 0. 0. 0. 0.217 77.108
Problem 331 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 203 203 192 225 0 0 0 285 184
normalized size 1 1. 0.95 1.11 0. 0. 0. 1.4 0.91
time (sec) N/A 0.427 0.374 0.01 0. 0. 0. 0.217 67.291
Problem 332 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 190 190 174 219 0 0 109 258 175
normalized size 1 1. 0.92 1.15 0. 0. 0.57 1.36 0.92
time (sec) N/A 0.364 0.275 0.012 0. 0. 4.315 0.217 49.22
Problem 333 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 200 200 186 228 0 0 124 273 178
normalized size 1 1. 0.93 1.14 0. 0. 0.62 1.36 0.89
time (sec) N/A 0.366 0.455 0.01 0. 0. 3.505 0.215 54.
Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 199 199 189 253 0 0 116 266 178
normalized size 1 1. 0.95 1.27 0. 0. 0.58 1.34 0.89
time (sec) N/A 0.315 0.383 0.006 0. 0. 2.611 0.217 46.514
Problem 335 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 222 222 199 274 0 0 0 311 175
normalized size 1 1. 0.9 1.23 0. 0. 0. 1.4 0.79
time (sec) N/A 0.617 0.329 0.017 0. 0. 0. 0.218 58.777
Problem 336 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 231 231 213 275 0 0 0 328 139
normalized size 1 1. 0.92 1.19 0. 0. 0. 1.42 0.6
time (sec) N/A 0.68 0.522 0.021 0. 0. 0. 0.217 49.63
Problem 337 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 242 242 221 276 0 0 0 344 24
normalized size 1 1. 0.91 1.14 0. 0. 0. 1.42 0.1
time (sec) N/A 0.687 0.329 0.019 0. 0. 0. 0.217 13.58
Problem 338 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 262 262 225 289 0 0 0 373 26
normalized size 1 1. 0.86 1.1 0. 0. 0. 1.42 0.1
time (sec) N/A 0.793 0.352 0.02 0. 0. 0. 0.216 13.796
Problem 339 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 215 215 198 255 0 0 148 288 192
normalized size 1 1. 0.92 1.19 0. 0. 0.69 1.34 0.89
time (sec) N/A 0.442 0.444 0.013 0. 0. 10.673 0.218 61.871
Problem 340 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 239 239 214 256 0 0 170 306 216
normalized size 1 1. 0.9 1.07 0. 0. 0.71 1.28 0.9
time (sec) N/A 0.46 0.557 0.014 0. 0. 7.141 0.218 73.794
Problem 341 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 225 225 213 308 0 0 163 301 207
normalized size 1 1. 0.95 1.37 0. 0. 0.72 1.34 0.92
time (sec) N/A 0.415 0.562 0.006 0. 0. 4.378 0.22 59.817
Problem 342 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 257 257 229 331 0 0 0 359 204
normalized size 1 1. 0.89 1.29 0. 0. 0. 1.4 0.79
time (sec) N/A 0.816 0.357 0.019 0. 0. 0. 0.218 73.925
Problem 343 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 267 267 248 334 0 0 0 377 160
normalized size 1 1. 0.93 1.25 0. 0. 0. 1.41 0.6
time (sec) N/A 0.909 0.437 0.023 0. 0. 0. 0.22 57.43
Problem 344 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 276 276 253 337 0 0 0 390 26
normalized size 1 1. 0.92 1.22 0. 0. 0. 1.41 0.09
time (sec) N/A 0.976 0.413 0.025 0. 0. 0. 0.218 14.184
Problem 345 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 298 298 255 351 0 0 0 421 27
normalized size 1 1. 0.86 1.18 0. 0. 0. 1.41 0.09
time (sec) N/A 1.112 0.698 0.025 0. 0. 0. 0.222 14.122
Problem 346 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 248 248 230 275 0 0 201 333 228
normalized size 1 1. 0.93 1.11 0. 0. 0.81 1.34 0.92
time (sec) N/A 0.534 0.478 0.017 0. 0. 27.395 0.218 75.874
Problem 347 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 270 270 241 278 0 0 214 346 250
normalized size 1 1. 0.89 1.03 0. 0. 0.79 1.28 0.93
time (sec) N/A 0.548 0.713 0.016 0. 0. 15.017 0.218 91.282
Problem 348 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 250 250 239 360 0 0 202 333 235
normalized size 1 1. 0.96 1.44 0. 0. 0.81 1.33 0.94
time (sec) N/A 0.499 0.446 0.007 0. 0. 8.36 0.218 71.005
Problem 349 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 291 291 259 394 0 0 0 409 231
normalized size 1 1. 0.89 1.35 0. 0. 0. 1.41 0.79
time (sec) N/A 1.005 0.45 0.023 0. 0. 0. 0.22 86.48
Problem 350 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 301 301 279 397 0 0 0 427 178
normalized size 1 1. 0.93 1.32 0. 0. 0. 1.42 0.59
time (sec) N/A 1.142 0.554 0.027 0. 0. 0. 0.22 63.224
Problem 351 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 310 310 284 400 0 0 0 441 26
normalized size 1 1. 0.92 1.29 0. 0. 0. 1.42 0.08
time (sec) N/A 1.231 0.608 0.028 0. 0. 0. 0.218 13.948
Problem 352 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 340 340 284 415 0 0 0 459 27
normalized size 1 1. 0.84 1.22 0. 0. 0. 1.35 0.08
time (sec) N/A 1.4 0.99 0.028 0. 0. 0. 0.218 14.19
Problem 353 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 29 29 57 29 35 41 54 36 31
normalized size 1 1. 1.97 1. 1.21 1.41 1.86 1.24 1.07
time (sec) N/A 0.101 0.024 0.01 1.532 0.255 0.589 0.212 11.071
Problem 354 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 29 29 57 29 35 41 54 36 31
normalized size 1 1. 1.97 1. 1.21 1.41 1.86 1.24 1.07
time (sec) N/A 0.069 0.01 0.005 1.519 0.249 0.593 0.212 9.621
Problem 355 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 31 31 58 29 38 43 54 39 31
normalized size 1 1. 1.87 0.94 1.23 1.39 1.74 1.26 1.
time (sec) N/A 0.098 0.026 0.012 1.54 0.259 0.599 0.211 11.638
Problem 356 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 31 31 58 29 38 43 54 39 31
normalized size 1 1. 1.87 0.94 1.23 1.39 1.74 1.26 1.
time (sec) N/A 0.073 0.011 0.007 1.569 0.246 0.59 0.214 10.752
Problem 357 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 146 87 0 77 100 220 46
normalized size 1 1. 2.92 1.74 0. 1.54 2. 4.4 0.92
time (sec) N/A 0.16 0.092 0.008 0. 0.294 0.848 0.24 13.702
Problem 358 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 53 53 149 135 0 81 110 209 51
normalized size 1 1. 2.81 2.55 0. 1.53 2.08 3.94 0.96
time (sec) N/A 0.172 0.134 0.007 0. 0.291 0.882 0.242 14.025
Problem 359 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 148 132 0 80 109 131 49
normalized size 1 1. 2.74 2.44 0. 1.48 2.02 2.43 0.91
time (sec) N/A 0.141 0.088 0.005 0. 0.279 0.841 0.216 14.151
Problem 360 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 53 53 147 90 0 78 102 122 48
normalized size 1 1. 2.77 1.7 0. 1.47 1.92 2.3 0.91
time (sec) N/A 0.144 0.099 0.008 0. 0.275 0.862 0.217 15.122
Problem 361 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 97 80 107 1 90 117 90
normalized size 1 1. 1. 0.82 1.1 0.01 0.93 1.21 0.93
time (sec) N/A 0.231 0.051 0.002 1.379 0.23 0.071 0.21 28.039
Problem 362 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 97 80 107 1 90 117 90
normalized size 1 1. 1. 0.82 1.1 0.01 0.93 1.21 0.93
time (sec) N/A 0.208 0.051 0.001 1.381 0.214 0.068 0.209 31.598
Problem 363 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 97 80 107 1 90 117 90
normalized size 1 1. 1. 0.82 1.1 0.01 0.93 1.21 0.93
time (sec) N/A 0.21 0.055 0.001 1.384 0.229 0.068 0.209 28.004
Problem 364 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 97 97 97 80 107 1 90 117 0
normalized size 1 1. 1. 0.82 1.1 0.01 0.93 1.21 0.
time (sec) N/A 0.192 0.038 0.002 1.422 0.207 0.067 0.208 0.
Problem 365 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 92 92 92 77 103 1 87 113 0
normalized size 1 1. 1. 0.84 1.12 0.01 0.95 1.23 0.
time (sec) N/A 0.17 0.039 0.001 1.376 0.207 0.065 0.207 0.
Problem 366 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 88 88 88 81 100 100 85 112 0
normalized size 1 1. 1. 0.92 1.14 1.14 0.97 1.27 0.
time (sec) N/A 0.122 0.058 0.004 1.378 0.245 0.699 0.21 0.
Problem 367 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 86 86 86 81 100 109 82 112 0
normalized size 1 1. 1. 0.94 1.16 1.27 0.95 1.3 0.
time (sec) N/A 0.149 0.077 0.009 1.394 0.24 0.734 0.209 0.
Problem 368 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 86 86 78 78 100 109 82 108 0
normalized size 1 1. 0.91 0.91 1.16 1.27 0.95 1.26 0.
time (sec) N/A 0.155 0.141 0.009 4.444 0.234 0.86 0.211 0.
Problem 369 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 86 86 76 76 101 109 82 107 0
normalized size 1 1. 0.88 0.88 1.17 1.27 0.95 1.24 0.
time (sec) N/A 0.155 0.148 0.01 1.372 0.241 1.517 0.211 0.
Problem 370 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 86 86 77 76 101 109 82 104 0
normalized size 1 1. 0.9 0.88 1.17 1.27 0.95 1.21 0.
time (sec) N/A 0.161 0.118 0.01 1.39 0.24 5.308 0.213 0.
Problem 371 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 163 163 163 152 204 1 167 216 151
normalized size 1 1. 1. 0.93 1.25 0.01 1.02 1.33 0.93
time (sec) N/A 0.422 0.082 0.002 1.375 0.223 0.1 0.21 44.964
Problem 372 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 163 163 163 152 204 1 167 216 151
normalized size 1 1. 1. 0.93 1.25 0.01 1.02 1.33 0.93
time (sec) N/A 0.389 0.074 0.001 1.415 0.213 0.095 0.209 48.591
Problem 373 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 158 158 150 152 204 1 167 216 146
normalized size 1 1. 0.95 0.96 1.29 0.01 1.06 1.37 0.92
time (sec) N/A 0.476 0.191 0.002 1.435 0.214 0.094 0.209 64.079
Problem 374 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 158 158 163 152 204 1 167 216 0
normalized size 1 1. 1.03 0.96 1.29 0.01 1.06 1.37 0.
time (sec) N/A 0.4 0.067 0.001 1.42 0.216 0.094 0.209 0.
Problem 375 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 153 153 125 149 200 1 163 212 0
normalized size 1 1. 0.82 0.97 1.31 0.01 1.07 1.39 0.
time (sec) N/A 0.35 0.173 0. 1.379 0.217 0.092 0.208 0.
Problem 376 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 149 149 154 153 197 197 162 211 0
normalized size 1 1. 1.03 1.03 1.32 1.32 1.09 1.42 0.
time (sec) N/A 0.243 0.113 0.004 1.381 0.244 0.941 0.209 0.
Problem 377 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 147 147 152 152 197 207 156 209 0
normalized size 1 1. 1.03 1.03 1.34 1.41 1.06 1.42 0.
time (sec) N/A 0.332 0.159 0.009 1.38 0.246 0.983 0.209 0.
Problem 378 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 147 147 127 150 197 207 156 207 0
normalized size 1 1. 0.86 1.02 1.34 1.41 1.06 1.41 0.
time (sec) N/A 0.338 0.185 0.01 1.384 0.251 1.112 0.212 0.
Problem 379 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 152 152 123 149 198 207 156 207 0
normalized size 1 1. 0.81 0.98 1.3 1.36 1.03 1.36 0.
time (sec) N/A 0.308 0.183 0.011 7.458 0.249 1.868 0.22 0.
Problem 380 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 152 152 125 149 198 207 155 205 0
normalized size 1 1. 0.82 0.98 1.3 1.36 1.02 1.35 0.
time (sec) N/A 0.305 0.176 0.011 5.934 0.247 6.239 0.219 0.
Problem 381 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 223 223 223 224 293 1 246 315 211
normalized size 1 1. 1. 1. 1.31 0. 1.1 1.41 0.95
time (sec) N/A 0.591 0.112 0.003 1.437 0.224 0.122 0.214 58.572
Problem 382 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 223 223 223 224 293 1 246 315 211
normalized size 1 1. 1. 1. 1.31 0. 1.1 1.41 0.95
time (sec) N/A 0.585 0.105 0. 1.416 0.222 0.117 0.216 61.647
Problem 383 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 212 212 223 224 293 1 246 315 199
normalized size 1 1. 1.05 1.06 1.38 0. 1.16 1.49 0.94
time (sec) N/A 0.613 0.121 0.001 1.428 0.218 0.115 0.214 79.94
Problem 384 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 212 212 223 224 293 1 246 315 0
normalized size 1 1. 1.05 1.06 1.38 0. 1.16 1.49 0.
time (sec) N/A 0.57 0.091 0.002 1.375 0.222 0.114 0.216 0.
Problem 385 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 207 207 170 221 289 1 243 311 0
normalized size 1 1. 0.82 1.07 1.4 0. 1.17 1.5 0.
time (sec) N/A 0.478 0.221 0.002 1.374 0.22 0.111 0.216 0.
Problem 386 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 200 200 214 224 286 286 240 308 0
normalized size 1 1. 1.07 1.12 1.43 1.43 1.2 1.54 0.
time (sec) N/A 0.316 0.196 0.007 1.395 0.243 1.252 0.22 0.
Problem 387 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 198 198 172 224 286 296 236 308 0
normalized size 1 1. 0.87 1.13 1.44 1.49 1.19 1.56 0.
time (sec) N/A 0.464 0.347 0.01 1.384 0.233 1.326 0.218 0.
Problem 388 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 198 198 174 222 286 296 236 305 0
normalized size 1 1. 0.88 1.12 1.44 1.49 1.19 1.54 0.
time (sec) N/A 0.465 0.5 0.011 1.383 0.234 1.426 0.218 0.
Problem 389 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 209 209 172 220 286 296 235 304 0
normalized size 1 1. 0.82 1.05 1.37 1.42 1.12 1.45 0.
time (sec) N/A 0.485 0.238 0.01 1.384 0.246 2.194 0.218 0.
Problem 390 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 209 209 170 220 286 296 233 302 0
normalized size 1 1. 0.81 1.05 1.37 1.42 1.11 1.44 0.
time (sec) N/A 0.479 0.328 0.011 1.384 0.247 6.369 0.221 0.
Problem 391 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) F(-2) A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 331 331 334 533 0 0 874 513 0
normalized size 1 1. 1.01 1.61 0. 0. 2.64 1.55 0.
time (sec) N/A 2.026 1.24 0.009 0. 0. 50.485 0.226 0.
Problem 392 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) F(-2) A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 313 313 299 505 0 0 842 477 0
normalized size 1 1. 0.96 1.61 0. 0. 2.69 1.52 0.
time (sec) N/A 1.97 0.515 0.007 0. 0. 47.21 0.224 0.
Problem 393 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) F(-2) A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 294 294 290 483 0 0 789 450 0
normalized size 1 1. 0.99 1.64 0. 0. 2.68 1.53 0.
time (sec) N/A 1.852 0.443 0.007 0. 0. 95.203 0.224 0.
Problem 394 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) F(-2) A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 275 275 272 455 0 0 811 428 0
normalized size 1 1. 0.99 1.65 0. 0. 2.95 1.56 0.
time (sec) N/A 1.82 1.263 0.006 0. 0. 56.423 0.227 0.
Problem 395 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) F(-2) A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 259 257 254 429 0 0 804 397 0
normalized size 1 0.99 0.98 1.66 0. 0. 3.1 1.53 0.
time (sec) N/A 0.801 0.74 0.006 0. 0. 49.168 0.224 0.
Problem 396 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) F(-2) F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 258 256 258 426 0 0 0 409 0
normalized size 1 0.99 1. 1.65 0. 0. 0. 1.59 0.
time (sec) N/A 0.968 0.444 0.01 0. 0. 0. 0.225 0.
Problem 397 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) F(-2) F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 253 253 257 423 0 0 0 404 0
normalized size 1 1. 1.02 1.67 0. 0. 0. 1.6 0.
time (sec) N/A 0.986 0.588 0.009 0. 0. 0. 0.226 0.
Problem 398 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 260 258 257 423 0 0 0 393 228
normalized size 1 0.99 0.99 1.63 0. 0. 0. 1.51 0.88
time (sec) N/A 0.814 0.782 0.008 0. 0. 0. 0.226 106.028
Problem 399 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 276 274 264 442 0 0 0 423 243
normalized size 1 0.99 0.96 1.6 0. 0. 0. 1.53 0.88
time (sec) N/A 0.959 1.084 0.01 0. 0. 0. 0.227 121.797
Problem 400 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 337 337 334 562 0 0 0 512 0
normalized size 1 1. 0.99 1.67 0. 0. 0. 1.52 0.
time (sec) N/A 1.476 1.279 0.015 0. 0. 0. 0.23 0.
Problem 401 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 311 311 294 533 0 0 0 475 0
normalized size 1 1. 0.95 1.71 0. 0. 0. 1.53 0.
time (sec) N/A 1.29 0.397 0.015 0. 0. 0. 0.227 0.
Problem 402 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) F(-2) F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 290 288 280 506 0 0 0 444 0
normalized size 1 0.99 0.97 1.74 0. 0. 0. 1.53 0.
time (sec) N/A 0.995 0.368 0.014 0. 0. 0. 0.227 0.
Problem 403 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 289 289 285 504 0 0 0 451 265
normalized size 1 1. 0.99 1.74 0. 0. 0. 1.56 0.92
time (sec) N/A 1.048 0.386 0.014 0. 0. 0. 0.227 160.671
Problem 404 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 276 276 268 465 0 0 0 429 252
normalized size 1 1. 0.97 1.68 0. 0. 0. 1.55 0.91
time (sec) N/A 0.807 0.34 0.013 0. 0. 0. 0.225 118.282
Problem 405 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 289 287 269 509 0 0 0 452 262
normalized size 1 0.99 0.93 1.76 0. 0. 0. 1.56 0.91
time (sec) N/A 1.103 0.373 0.019 0. 0. 0. 0.227 149.517
Problem 406 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 301 301 285 519 0 0 0 473 250
normalized size 1 1. 0.95 1.72 0. 0. 0. 1.57 0.83
time (sec) N/A 1.182 0.558 0.019 0. 0. 0. 0.226 138.149
Problem 407 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 306 304 292 527 0 0 0 483 241
normalized size 1 0.99 0.95 1.72 0. 0. 0. 1.58 0.79
time (sec) N/A 1.144 1.084 0.021 0. 0. 0. 0.226 110.265
Problem 408 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 338 336 303 561 0 0 0 520 255
normalized size 1 0.99 0.9 1.66 0. 0. 0. 1.54 0.75
time (sec) N/A 1.453 1.146 0.022 0. 0. 0. 0.227 128.198
Problem 409 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 345 345 342 621 0 0 0 541 0
normalized size 1 1. 0.99 1.8 0. 0. 0. 1.57 0.
time (sec) N/A 1.717 0.594 0.019 0. 0. 0. 0.229 0.
Problem 410 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 325 325 315 520 0 0 0 512 0
normalized size 1 1. 0.97 1.6 0. 0. 0. 1.58 0.
time (sec) N/A 1.322 0.539 0.017 0. 0. 0. 0.226 0.
Problem 411 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 297 297 287 490 0 0 0 454 279
normalized size 1 1. 0.97 1.65 0. 0. 0. 1.53 0.94
time (sec) N/A 0.901 0.461 0.016 0. 0. 0. 0.227 114.252
Problem 412 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 323 323 297 498 0 0 0 481 299
normalized size 1 1. 0.92 1.54 0. 0. 0. 1.49 0.93
time (sec) N/A 1.018 0.577 0.015 0. 0. 0. 0.228 144.401
Problem 413 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 313 313 295 506 0 0 0 467 287
normalized size 1 1. 0.94 1.62 0. 0. 0. 1.49 0.92
time (sec) N/A 0.916 0.458 0.014 0. 0. 0. 0.226 120.495
Problem 414 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 347 345 311 620 0 0 0 529 284
normalized size 1 0.99 0.9 1.79 0. 0. 0. 1.52 0.82
time (sec) N/A 1.409 0.51 0.029 0. 0. 0. 0.232 136.863
Problem 415 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 362 362 336 624 0 0 0 556 219
normalized size 1 1. 0.93 1.72 0. 0. 0. 1.54 0.6
time (sec) N/A 1.631 1.158 0.025 0. 0. 0. 0.23 96.027
Problem 416 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 360 357 337 626 0 0 0 568 83
normalized size 1 0.99 0.94 1.74 0. 0. 0. 1.58 0.23
time (sec) N/A 1.562 1.3 0.027 0. 0. 0. 0.229 51.389
Problem 417 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 395 392 352 680 0 0 0 612 88
normalized size 1 0.99 0.89 1.72 0. 0. 0. 1.55 0.22
time (sec) N/A 1.976 1.88 0.028 0. 0. 0. 0.229 49.522
Problem 418 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 583 583 329 793 0 0 129 0 522
normalized size 1 1. 0.56 1.36 0. 0. 0.22 0. 0.9
time (sec) N/A 1.337 2.899 0.027 0. 0. 4.152 0. 163.345
Problem 419 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 560 560 319 773 0 0 107 0 498
normalized size 1 1. 0.57 1.38 0. 0. 0.19 0. 0.89
time (sec) N/A 0.964 1.42 0.01 0. 0. 3.308 0. 117.422
Problem 420 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 537 537 314 753 0 0 107 0 474
normalized size 1 1. 0.58 1.4 0. 0. 0.2 0. 0.88
time (sec) N/A 0.668 2.758 0.01 0. 0. 3.087 0. 70.836
Problem 421 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 509 509 305 735 0 0 105 0 447
normalized size 1 1. 0.6 1.44 0. 0. 0.21 0. 0.88
time (sec) N/A 0.43 1.615 0.006 0. 0. 2.62 0. 39.099
Problem 422 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 518 518 493 740 0 0 105 0 457
normalized size 1 1. 0.95 1.43 0. 0. 0.2 0. 0.88
time (sec) N/A 0.494 1.698 0.01 0. 0. 3.522 0. 45.7
Problem 423 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 547 547 513 759 0 0 107 0 479
normalized size 1 1. 0.94 1.39 0. 0. 0.2 0. 0.88
time (sec) N/A 0.728 1.903 0.011 0. 0. 3.721 0. 78.042
Problem 424 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 569 569 525 778 0 0 112 0 495
normalized size 1 1. 0.92 1.37 0. 0. 0.2 0. 0.87
time (sec) N/A 0.95 3.49 0.012 0. 0. 4.033 0. 111.172
Problem 425 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F A F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 594 594 334 836 0 0 129 0 0
normalized size 1 1. 0.56 1.41 0. 0. 0.22 0. 0.
time (sec) N/A 1.236 1.792 0.031 0. 0. 60.099 0. 0.
Problem 426 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 574 574 330 817 0 0 129 0 517
normalized size 1 1. 0.57 1.42 0. 0. 0.22 0. 0.9
time (sec) N/A 0.969 2.382 0.012 0. 0. 39.837 0. 134.209
Problem 427 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 542 542 319 800 0 0 129 0 483
normalized size 1 1. 0.59 1.48 0. 0. 0.24 0. 0.89
time (sec) N/A 0.73 1.274 0.011 0. 0. 30.574 0. 76.853
Problem 428 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 522 522 305 779 0 0 109 0 466
normalized size 1 1. 0.58 1.49 0. 0. 0.21 0. 0.89
time (sec) N/A 0.6 2.275 0.01 0. 0. 25.472 0. 50.42
Problem 429 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 561 561 317 782 0 0 109 0 495
normalized size 1 1. 0.57 1.39 0. 0. 0.19 0. 0.88
time (sec) N/A 0.704 1.591 0.008 0. 0. 25.366 0. 71.48
Problem 430 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 532 532 314 785 0 0 107 0 468
normalized size 1 1. 0.59 1.48 0. 0. 0.2 0. 0.88
time (sec) N/A 0.589 1.57 0.006 0. 0. 24.972 0. 48.263
Problem 431 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 579 579 518 810 0 0 265 0 462
normalized size 1 1. 0.89 1.4 0. 0. 0.46 0. 0.8
time (sec) N/A 0.839 3.502 0.009 0. 0. 40.682 0. 57.643
Problem 432 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 607 607 542 825 0 0 267 0 214
normalized size 1 1. 0.89 1.36 0. 0. 0.44 0. 0.35
time (sec) N/A 1.093 4.751 0.012 0. 0. 56.884 0. 31.669
Problem 433 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 733 733 433 1674 0 0 238 0 0
normalized size 1 1. 0.59 2.28 0. 0. 0.32 0. 0.
time (sec) N/A 3.319 2.789 0.028 0. 0. 5.988 0. 0.
Problem 434 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 681 681 399 1197 0 0 223 0 0
normalized size 1 1. 0.59 1.76 0. 0. 0.33 0. 0.
time (sec) N/A 2.492 2.087 0.012 0. 0. 5.413 0. 0.
Problem 435 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 667 667 390 1311 0 0 223 0 0
normalized size 1 1. 0.58 1.97 0. 0. 0.33 0. 0.
time (sec) N/A 1.926 2.231 0.01 0. 0. 4.898 0. 0.
Problem 436 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 639 639 393 1557 0 0 194 0 0
normalized size 1 1. 0.62 2.44 0. 0. 0.3 0. 0.
time (sec) N/A 1.441 2.358 0.009 0. 0. 4.506 0. 0.
Problem 437 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 620 620 714 1118 0 0 235 0 568
normalized size 1 1. 1.15 1.8 0. 0. 0.38 0. 0.92
time (sec) N/A 1.114 3.467 0.01 0. 0. 6.667 0. 142.471
Problem 438 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 638 638 810 1248 0 0 236 0 580
normalized size 1 1. 1.27 1.96 0. 0. 0.37 0. 0.91
time (sec) N/A 1.294 2.708 0.014 0. 0. 6.687 0. 168.208
Problem 439 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 640 640 962 1529 0 0 255 0 0
normalized size 1 1. 1.5 2.39 0. 0. 0.4 0. 0.
time (sec) N/A 1.472 3.092 0.014 0. 0. 7.294 0. 0.
Problem 440 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 637 637 769 1114 0 0 265 0 0
normalized size 1 1. 1.21 1.75 0. 0. 0.42 0. 0.
time (sec) N/A 1.597 2.648 0.015 0. 0. 9.147 0. 0.
Problem 441 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 694 694 855 1286 0 0 274 0 0
normalized size 1 1. 1.23 1.85 0. 0. 0.39 0. 0.
time (sec) N/A 2.06 3.704 0.014 0. 0. 9.382 0. 0.
Problem 442 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 652 652 934 1571 0 0 240 0 0
normalized size 1 1. 1.43 2.41 0. 0. 0.37 0. 0.
time (sec) N/A 1.558 3.921 0.014 0. 0. 8.933 0. 0.
Problem 443 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F(-2) F A F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 659 659 800 1180 0 0 304 0 0
normalized size 1 1. 1.21 1.79 0. 0. 0.46 0. 0.
time (sec) N/A 1.865 4.472 0.014 0. 0. 13.916 0. 0.
Problem 444 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 711 711 892 1376 0 0 308 0 0
normalized size 1 1. 1.25 1.94 0. 0. 0.43 0. 0.
time (sec) N/A 2.149 4.208 0.013 0. 0. 14.755 0. 0.
Problem 445 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 743 743 979 1679 0 0 304 0 0
normalized size 1 1. 1.32 2.26 0. 0. 0.41 0. 0.
time (sec) N/A 2.47 4.149 0.016 0. 0. 14.307 0. 0.
Problem 446 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 791 791 466 1764 0 0 512 0 0
normalized size 1 1. 0.59 2.23 0. 0. 0.65 0. 0.
time (sec) N/A 3.646 2.473 0.029 0. 0. 14.618 0. 0.
Problem 447 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 742 742 436 1269 0 0 525 0 0
normalized size 1 1. 0.59 1.71 0. 0. 0.71 0. 0.
time (sec) N/A 2.773 2.092 0.011 0. 0. 12.897 0. 0.
Problem 448 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 723 723 429 1383 0 0 525 0 0
normalized size 1 1. 0.59 1.91 0. 0. 0.73 0. 0.
time (sec) N/A 2.352 2.179 0.01 0. 0. 11.371 0. 0.
Problem 449 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 694 694 429 1629 0 0 444 0 0
normalized size 1 1. 0.62 2.35 0. 0. 0.64 0. 0.
time (sec) N/A 1.757 2.487 0.008 0. 0. 9.166 0. 0.
Problem 450 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 676 676 753 1188 0 0 473 0 0
normalized size 1 1. 1.11 1.76 0. 0. 0.7 0. 0.
time (sec) N/A 1.334 3.426 0.013 0. 0. 14.686 0. 0.
Problem 451 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 692 692 817 1317 0 0 474 0 0
normalized size 1 1. 1.18 1.9 0. 0. 0.68 0. 0.
time (sec) N/A 1.522 3.727 0.015 0. 0. 14.317 0. 0.
Problem 452 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 694 694 952 1613 0 0 462 0 0
normalized size 1 1. 1.37 2.32 0. 0. 0.67 0. 0.
time (sec) N/A 1.686 4.095 0.012 0. 0. 14.479 0. 0.
Problem 453 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 692 692 813 1193 0 0 484 0 0
normalized size 1 1. 1.17 1.72 0. 0. 0.7 0. 0.
time (sec) N/A 1.805 3.866 0.014 0. 0. 17.153 0. 0.
Problem 454 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 741 741 878 1342 0 0 495 0 0
normalized size 1 1. 1.18 1.81 0. 0. 0.67 0. 0.
time (sec) N/A 2.278 3.241 0.014 0. 0. 17.543 0. 0.
Problem 455 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 689 689 949 1606 0 0 476 0 0
normalized size 1 1. 1.38 2.33 0. 0. 0.69 0. 0.
time (sec) N/A 1.765 4.654 0.015 0. 0. 17.375 0. 0.
Problem 456 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F(-2) F A F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 692 692 805 1196 0 0 524 0 0
normalized size 1 1. 1.16 1.73 0. 0. 0.76 0. 0.
time (sec) N/A 1.903 4.587 0.014 0. 0. 24.127 0. 0.
Problem 457 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 746 746 897 1375 0 0 536 0 0
normalized size 1 1. 1.2 1.84 0. 0. 0.72 0. 0.
time (sec) N/A 2.373 4.166 0.015 0. 0. 25.241 0. 0.
Problem 458 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 705 705 978 1663 0 0 527 0 0
normalized size 1 1. 1.39 2.36 0. 0. 0.75 0. 0.
time (sec) N/A 1.855 4.476 0.015 0. 0. 24.442 0. 0.
Problem 459 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F(-2) F A F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 714 714 844 1273 0 0 573 0 0
normalized size 1 1. 1.18 1.78 0. 0. 0.8 0. 0.
time (sec) N/A 2.031 5.326 0.041 0. 0. 38.868 0. 0.
Problem 460 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 764 764 930 1470 0 0 576 0 0
normalized size 1 1. 1.22 1.92 0. 0. 0.75 0. 0.
time (sec) N/A 2.484 4.589 0.015 0. 0. 41.519 0. 0.
Problem 461 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 796 796 1017 1773 0 0 541 0 0
normalized size 1 1. 1.28 2.23 0. 0. 0.68 0. 0.
time (sec) N/A 2.835 4.694 0.046 0. 0. 38.622 0. 0.
Problem 462 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 102 120 129 0 0 0 0 0 95
normalized size 1 1.18 1.26 0. 0. 0. 0. 0. 0.93
time (sec) N/A 0.161 0.156 0.053 0. 0. 0. 0. 23.066
Problem 463 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 107 125 131 0 0 0 0 0 99
normalized size 1 1.17 1.22 0. 0. 0. 0. 0. 0.93
time (sec) N/A 0.192 0.124 0.057 0. 0. 0. 0. 23.897
Problem 464 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 107 125 131 0 0 0 0 0 99
normalized size 1 1.17 1.22 0. 0. 0. 0. 0. 0.93
time (sec) N/A 0.225 0.149 0.065 0. 0. 0. 0. 26.816
Problem 465 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 68 68 68 55 73 1 63 76 0
normalized size 1 1. 1. 0.81 1.07 0.01 0.93 1.12 0.
time (sec) N/A 0.088 0.008 0.001 1.389 0.187 0.053 0.215 0.
Problem 466 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 73 58 77 1 66 80 66
normalized size 1 1. 1. 0.79 1.05 0.01 0.9 1.1 0.9
time (sec) N/A 0.126 0.005 0.001 1.374 0.192 0.059 0.223 17.99
Problem 467 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 109 109 124 103 138 1 121 142 0
normalized size 1 1. 1.14 0.94 1.27 0.01 1.11 1.3 0.
time (sec) N/A 0.145 0.006 0. 1.37 0.187 0.079 0.229 0.
Problem 468 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 114 114 129 106 142 1 124 146 107
normalized size 1 1. 1.13 0.93 1.25 0.01 1.09 1.28 0.94
time (sec) N/A 0.319 0.009 0.001 1.379 0.19 0.081 0.223 42.356
Problem 469 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 151 151 180 151 203 1 180 208 0
normalized size 1 1. 1.19 1. 1.34 0.01 1.19 1.38 0.
time (sec) N/A 0.219 0.007 0. 7.007 0.189 0.096 0.223 0.
Problem 470 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 156 156 185 154 207 1 184 212 151
normalized size 1 1. 1.19 0.99 1.33 0.01 1.18 1.36 0.97
time (sec) N/A 0.407 0.009 0.002 1.37 0.192 0.101 0.228 51.008
Problem 471 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 193 193 236 199 267 1 241 274 0
normalized size 1 1. 1.22 1.03 1.38 0.01 1.25 1.42 0.
time (sec) N/A 0.299 0.009 0.002 1.373 0.185 0.116 0.228 0.
Problem 472 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 198 198 241 202 271 1 245 278 201
normalized size 1 1. 1.22 1.02 1.37 0.01 1.24 1.4 1.02
time (sec) N/A 0.496 0.01 0.003 1.378 0.188 0.114 0.226 64.736
Problem 473 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 133 133 214 177 0 0 952 419 119
normalized size 1 1. 1.61 1.33 0. 0. 7.16 3.15 0.89
time (sec) N/A 0.282 0.111 0.006 0. 0. 25.638 0.242 38.705
Problem 474 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 162 162 221 208 0 0 887 443 0
normalized size 1 1. 1.36 1.28 0. 0. 5.48 2.73 0.
time (sec) N/A 0.484 0.15 0.006 0. 0. 24.244 0.242 0.
Problem 475 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 293 293 296 294 0 0 950 392 272
normalized size 1 1. 1.01 1. 0. 0. 3.24 1.34 0.93
time (sec) N/A 0.52 0.571 0.005 0. 0. 24.979 0.231 82.734
Problem 476 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 321 321 311 325 0 0 886 416 0
normalized size 1 1. 0.97 1.01 0. 0. 2.76 1.3 0.
time (sec) N/A 0.78 0.309 0.009 0. 0. 24.143 0.231 0.
Problem 477 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 318 318 315 362 0 0 517 427 294
normalized size 1 1. 0.99 1.14 0. 0. 1.63 1.34 0.92
time (sec) N/A 0.583 0.635 0.011 0. 0. 32.189 0.23 94.134
Problem 478 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 310 310 294 333 0 0 508 409 291
normalized size 1 1. 0.95 1.07 0. 0. 1.64 1.32 0.94
time (sec) N/A 0.581 0.531 0.021 0. 0. 64.074 0.232 100.513
Problem 479 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 351 351 347 432 0 0 578 478 333
normalized size 1 1. 0.99 1.23 0. 0. 1.65 1.36 0.95
time (sec) N/A 0.688 0.587 0.01 0. 0. 130.201 0.232 112.38
Problem 480 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 340 340 329 371 0 0 0 456 320
normalized size 1 1. 0.97 1.09 0. 0. 0. 1.34 0.94
time (sec) N/A 0.689 0.8 0.018 0. 0. 0. 0.233 116.304
Problem 481 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 382 382 379 399 0 0 0 528 364
normalized size 1 1. 0.99 1.04 0. 0. 0. 1.38 0.95
time (sec) N/A 0.823 0.93 0.022 0. 0. 0. 0.238 137.466
Problem 482 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 380 380 366 401 0 0 0 513 359
normalized size 1 1. 0.96 1.06 0. 0. 0. 1.35 0.94
time (sec) N/A 0.845 0.789 0.022 0. 0. 0. 0.232 137.143
Problem 483 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 418 418 296 390 0 0 252 0 386
normalized size 1 1. 0.71 0.93 0. 0. 0.6 0. 0.92
time (sec) N/A 1.079 0.86 0.041 0. 0. 10.266 0. 102.131
Problem 484 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 394 394 275 380 0 0 212 0 362
normalized size 1 1. 0.7 0.96 0. 0. 0.54 0. 0.92
time (sec) N/A 0.978 0.833 0.013 0. 0. 8.801 0. 94.692
Problem 485 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 369 369 280 361 0 0 212 0 338
normalized size 1 1. 0.76 0.98 0. 0. 0.57 0. 0.92
time (sec) N/A 0.82 0.725 0.015 0. 0. 8.43 0. 75.307
Problem 486 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F(-2) F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 354 354 266 337 0 0 158 0 325
normalized size 1 1. 0.75 0.95 0. 0. 0.45 0. 0.92
time (sec) N/A 0.736 0.719 0.013 0. 0. 5.443 0. 69.572
Problem 487 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 331 331 257 313 0 0 156 0 303
normalized size 1 1. 0.78 0.95 0. 0. 0.47 0. 0.92
time (sec) N/A 0.518 0.763 0.011 0. 0. 5.158 0. 50.837
Problem 488 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 345 345 280 339 0 0 204 0 316
normalized size 1 1. 0.81 0.98 0. 0. 0.59 0. 0.92
time (sec) N/A 0.687 2.358 0.019 0. 0. 7.372 0. 69.077
Problem 489 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 341 341 355 339 0 0 206 0 308
normalized size 1 1. 1.04 0.99 0. 0. 0.6 0. 0.9
time (sec) N/A 0.719 6.18 0.02 0. 0. 7.46 0. 73.262
Problem 490 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 342 342 296 360 0 0 230 0 308
normalized size 1 1. 0.87 1.05 0. 0. 0.67 0. 0.9
time (sec) N/A 0.724 1.095 0.02 0. 0. 6.757 0. 71.901
Problem 491 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 357 357 295 362 0 0 235 0 325
normalized size 1 1. 0.83 1.01 0. 0. 0.66 0. 0.91
time (sec) N/A 0.824 0.891 0.023 0. 0. 7.05 0. 81.207
Problem 492 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F(-2) F A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 329 329 267 385 0 0 211 0 0
normalized size 1 1. 0.81 1.17 0. 0. 0.64 0. 0.
time (sec) N/A 0.596 3.396 0.02 0. 0. 8.312 0. 0.
Problem 493 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 360 360 314 404 0 0 216 0 0
normalized size 1 1. 0.87 1.12 0. 0. 0.6 0. 0.
time (sec) N/A 0.818 1.164 0.027 0. 0. 8.722 0. 0.
Problem 494 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 352 352 277 361 0 0 189 0 0
normalized size 1 1. 0.79 1.03 0. 0. 0.54 0. 0.
time (sec) N/A 0.802 0.848 0.022 0. 0. 7.982 0. 0.
Problem 495 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 375 375 283 385 0 0 192 0 0
normalized size 1 1. 0.75 1.03 0. 0. 0.51 0. 0.
time (sec) N/A 0.932 0.81 0.027 0. 0. 8.687 0. 0.
Problem 496 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F(-2) F A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 400 400 293 408 0 0 246 0 0
normalized size 1 1. 0.73 1.02 0. 0. 0.62 0. 0.
time (sec) N/A 1.029 0.938 0.023 0. 0. 12.525 0. 0.
Problem 497 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 425 425 305 429 0 0 246 0 0
normalized size 1 1. 0.72 1.01 0. 0. 0.58 0. 0.
time (sec) N/A 1.185 0.873 0.028 0. 0. 14.027 0. 0.
Problem 498 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 476 476 327 462 0 0 462 0 442
normalized size 1 1. 0.69 0.97 0. 0. 0.97 0. 0.93
time (sec) N/A 1.311 1.096 0.047 0. 0. 28.921 0. 116.903
Problem 499 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 452 452 431 434 0 0 398 0 418
normalized size 1 1. 0.95 0.96 0. 0. 0.88 0. 0.92
time (sec) N/A 1.19 6.132 0.013 0. 0. 23.888 0. 108.96
Problem 500 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 427 427 325 413 0 0 398 0 394
normalized size 1 1. 0.76 0.97 0. 0. 0.93 0. 0.92
time (sec) N/A 1.024 0.807 0.017 0. 0. 22.199 0. 91.517
Problem 501 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F(-2) F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 409 409 302 392 0 0 396 0 382
normalized size 1 1. 0.74 0.96 0. 0. 0.97 0. 0.93
time (sec) N/A 0.91 0.836 0.019 0. 0. 14.897 0. 85.49
Problem 502 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 382 382 294 368 0 0 394 0 357
normalized size 1 1. 0.77 0.96 0. 0. 1.03 0. 0.93
time (sec) N/A 0.639 0.797 0.011 0. 0. 13.824 0. 61.301
Problem 503 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 403 403 319 411 0 0 405 0 376
normalized size 1 1. 0.79 1.02 0. 0. 1. 0. 0.93
time (sec) N/A 0.911 0.895 0.025 0. 0. 17.093 0. 90.477
Problem 504 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 404 404 328 411 0 0 406 0 376
normalized size 1 1. 0.81 1.02 0. 0. 1. 0. 0.93
time (sec) N/A 0.838 0.973 0.02 0. 0. 16.869 0. 96.596
Problem 505 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 406 406 326 409 0 0 377 0 377
normalized size 1 1. 0.8 1.01 0. 0. 0.93 0. 0.93
time (sec) N/A 0.826 1.153 0.027 0. 0. 13.385 0. 93.471
Problem 506 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 408 408 327 408 0 0 381 0 381
normalized size 1 1. 0.8 1. 0. 0. 0.93 0. 0.93
time (sec) N/A 0.848 1.07 0.022 0. 0. 13.299 0. 91.759
Problem 507 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F(-2) F A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 386 386 329 409 0 0 379 0 0
normalized size 1 1. 0.85 1.06 0. 0. 0.98 0. 0.
time (sec) N/A 0.776 1.513 0.028 0. 0. 15.644 0. 0.
Problem 508 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 387 387 331 409 0 0 386 0 0
normalized size 1 1. 0.86 1.06 0. 0. 1. 0. 0.
time (sec) N/A 0.81 1.515 0.024 0. 0. 16.048 0. 0.
Problem 509 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F(-2) F A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 392 392 331 408 0 0 406 0 0
normalized size 1 1. 0.84 1.04 0. 0. 1.04 0. 0.
time (sec) N/A 0.784 1.617 0.027 0. 0. 15.213 0. 0.
Problem 510 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 412 412 330 411 0 0 415 0 0
normalized size 1 1. 0.8 1. 0. 0. 1.01 0. 0.
time (sec) N/A 0.914 1.126 0.026 0. 0. 16.307 0. 0.
Problem 511 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F(-2) F A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 377 377 309 416 0 0 444 0 0
normalized size 1 1. 0.82 1.1 0. 0. 1.18 0. 0.
time (sec) N/A 0.679 4.975 0.027 0. 0. 21.266 0. 0.
Problem 512 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 405 405 351 437 0 0 449 0 0
normalized size 1 1. 0.87 1.08 0. 0. 1.11 0. 0.
time (sec) N/A 0.874 1.337 0.03 0. 0. 23.087 0. 0.
Problem 513 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 399 399 314 417 0 0 398 0 0
normalized size 1 1. 0.79 1.05 0. 0. 1. 0. 0.
time (sec) N/A 0.865 1.062 0.026 0. 0. 24.639 0. 0.
Problem 514 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 424 424 317 441 0 0 401 0 0
normalized size 1 1. 0.75 1.04 0. 0. 0.95 0. 0.
time (sec) N/A 0.984 0.995 0.031 0. 0. 27.676 0. 0.
Problem 515 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F(-2) F A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 449 449 328 462 0 0 403 0 0
normalized size 1 1. 0.73 1.03 0. 0. 0.9 0. 0.
time (sec) N/A 1.068 1.174 0.03 0. 0. 37.674 0. 0.
Problem 516 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 474 474 339 483 0 0 403 0 0
normalized size 1 1. 0.72 1.02 0. 0. 0.85 0. 0.
time (sec) N/A 1.208 1.099 0.034 0. 0. 42.455 0. 0.
Problem 517 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 361 361 259 335 0 0 177 0 330
normalized size 1 1. 0.72 0.93 0. 0. 0.49 0. 0.91
time (sec) N/A 0.81 1.017 0.022 0. 0. 8.133 0. 85.718
Problem 518 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 336 336 241 325 0 0 156 0 304
normalized size 1 1. 0.72 0.97 0. 0. 0.46 0. 0.9
time (sec) N/A 0.708 0.877 0.01 0. 0. 6.909 0. 79.002
Problem 519 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 308 308 245 248 0 0 156 0 275
normalized size 1 1. 0.8 0.81 0. 0. 0.51 0. 0.89
time (sec) N/A 0.582 0.659 0.01 0. 0. 6.532 0. 61.082
Problem 520 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F(-2) F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 299 299 235 229 0 0 129 0 267
normalized size 1 1. 0.79 0.77 0. 0. 0.43 0. 0.89
time (sec) N/A 0.496 0.513 0.008 0. 0. 4.431 0. 56.105
Problem 521 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 276 276 225 208 0 0 128 0 248
normalized size 1 1. 0.82 0.75 0. 0. 0.46 0. 0.9
time (sec) N/A 0.353 0.415 0.007 0. 0. 3.683 0. 41.245
Problem 522 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 285 285 235 222 0 0 126 0 258
normalized size 1 1. 0.82 0.78 0. 0. 0.44 0. 0.91
time (sec) N/A 0.376 0.919 0.01 0. 0. 4.566 0. 50.601
Problem 523 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 309 309 250 299 0 0 128 0 275
normalized size 1 1. 0.81 0.97 0. 0. 0.41 0. 0.89
time (sec) N/A 0.564 3.775 0.012 0. 0. 4.663 0. 62.906
Problem 524 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 300 300 242 293 0 0 126 0 265
normalized size 1 1. 0.81 0.98 0. 0. 0.42 0. 0.88
time (sec) N/A 0.547 0.761 0.021 0. 0. 4.409 0. 60.438
Problem 525 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 323 323 249 316 0 0 131 0 286
normalized size 1 1. 0.77 0.98 0. 0. 0.41 0. 0.89
time (sec) N/A 0.655 0.653 0.014 0. 0. 4.871 0. 74.643
Problem 526 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F(-2) F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 346 346 259 335 0 0 158 0 306
normalized size 1 1. 0.75 0.97 0. 0. 0.46 0. 0.88
time (sec) N/A 0.75 0.893 0.015 0. 0. 7.135 0. 81.234
Problem 527 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 377 377 268 354 0 0 163 0 342
normalized size 1 1. 0.71 0.94 0. 0. 0.43 0. 0.91
time (sec) N/A 0.865 0.905 0.015 0. 0. 7.779 0. 98.68
Problem 528 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 365 365 267 378 0 0 202 0 0
normalized size 1 1. 0.73 1.04 0. 0. 0.55 0. 0.
time (sec) N/A 0.879 0.901 0.019 0. 0. 72.375 0. 0.
Problem 529 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F(-2) F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 343 343 255 358 0 0 172 0 316
normalized size 1 1. 0.74 1.04 0. 0. 0.5 0. 0.92
time (sec) N/A 0.714 0.649 0.011 0. 0. 50.538 0. 140.344
Problem 530 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 314 314 243 340 0 0 172 0 287
normalized size 1 1. 0.77 1.08 0. 0. 0.55 0. 0.91
time (sec) N/A 0.577 0.584 0.011 0. 0. 38.204 0. 92.624
Problem 531 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 297 297 224 331 0 0 156 0 270
normalized size 1 1. 0.75 1.11 0. 0. 0.53 0. 0.91
time (sec) N/A 0.421 0.541 0.011 0. 0. 31.075 0. 51.655
Problem 532 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 333 333 242 331 0 0 156 0 294
normalized size 1 1. 0.73 0.99 0. 0. 0.47 0. 0.88
time (sec) N/A 0.561 0.91 0.012 0. 0. 28.343 0. 90.412
Problem 533 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 303 303 197 250 0 0 133 0 265
normalized size 1 1. 0.65 0.83 0. 0. 0.44 0. 0.87
time (sec) N/A 0.403 0.434 0.014 0. 0. 26.559 0. 56.388
Problem 534 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 275 275 195 250 0 0 131 0 241
normalized size 1 1. 0.71 0.91 0. 0. 0.48 0. 0.88
time (sec) N/A 0.273 0.393 0.007 0. 0. 27.356 0. 35.616
Problem 535 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 323 323 225 336 0 0 289 0 238
normalized size 1 1. 0.7 1.04 0. 0. 0.89 0. 0.74
time (sec) N/A 0.559 5.225 0.011 0. 0. 39.947 0. 44.148
Problem 536 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 344 344 245 355 0 0 291 0 109
normalized size 1 1. 0.71 1.03 0. 0. 0.85 0. 0.32
time (sec) N/A 0.696 0.734 0.015 0. 0. 69.358 0. 23.936
Problem 537 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 367 367 259 363 0 0 316 0 110
normalized size 1 1. 0.71 0.99 0. 0. 0.86 0. 0.3
time (sec) N/A 0.838 0.71 0.024 0. 0. 84.43 0. 23.931
Problem 538 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 387 387 267 383 0 0 321 0 32
normalized size 1 1. 0.69 0.99 0. 0. 0.83 0. 0.08
time (sec) N/A 1.045 0.719 0.014 0. 0. 114.883 0. 15.818
Problem 539 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 269 269 174 0 0 0 0 0 218
normalized size 1 1. 0.65 0. 0. 0. 0. 0. 0.81
time (sec) N/A 0.521 0.346 0.099 0. 0. 0. 0. 58.2
Problem 540 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 143 170 184 0 0 0 141 0 136
normalized size 1 1.19 1.29 0. 0. 0. 0.99 0. 0.95
time (sec) N/A 0.275 0.163 0.056 0. 0. 142.287 0. 36.259
Problem 541 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 175 175 160 0 0 0 0 0 139
normalized size 1 1. 0.91 0. 0. 0. 0. 0. 0.79
time (sec) N/A 0.403 0.239 0.077 0. 0. 0. 0. 46.973
Problem 542 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 8 8 8 7 8 8 5 9 5
normalized size 1 1. 1. 0.88 1. 1. 0.62 1.12 0.62
time (sec) N/A 0.013 0.001 0.002 1.429 0.201 0.046 0.218 4.346
Problem 543 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 10 10 10 9 11 11 7 12 7
normalized size 1 1. 1. 0.9 1.1 1.1 0.7 1.2 0.7
time (sec) N/A 0.016 0.002 0.002 1.421 0.201 0.059 0.216 8.256
Problem 544 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 10 10 10 9 11 11 8 12 8
normalized size 1 1. 1. 0.9 1.1 1.1 0.8 1.2 0.8
time (sec) N/A 0.016 0.002 0.001 1.408 0.201 0.063 0.217 7.471
Problem 545 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 21 18 23 23 15 20 7
normalized size 1 1. 2.1 1.8 2.3 2.3 1.5 2. 0.7
time (sec) N/A 0.012 0.004 0.008 1.365 0.206 0.1 0.219 3.89
Problem 546 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 24 24 24 17 22 22 24 22 22
normalized size 1 1. 1. 0.71 0.92 0.92 1. 0.92 0.92
time (sec) N/A 0.035 0.011 0.006 1.545 0.204 0.129 0.216 6.388
Problem 547 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 50 39 51 61 46 53 0
normalized size 1 1. 1. 0.78 1.02 1.22 0.92 1.06 0.
time (sec) N/A 0.083 0.028 0.014 1.564 0.211 0.25 0.221 0.
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 50 50 46 39 51 61 46 53 0
normalized size 1 1. 0.92 0.78 1.02 1.22 0.92 1.06 0.
time (sec) N/A 0.085 0.028 0.01 1.551 0.211 0.265 0.218 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 60 60 56 47 62 74 56 65 0
normalized size 1 1. 0.93 0.78 1.03 1.23 0.93 1.08 0.
time (sec) N/A 0.088 0.02 0.01 1.522 0.212 0.284 0.221 0.
Problem 550 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 60 60 52 47 62 74 56 65 0
normalized size 1 1. 0.87 0.78 1.03 1.23 0.93 1.08 0.
time (sec) N/A 0.088 0.019 0.01 1.513 0.211 0.282 0.219 0.
Problem 551 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 50 50 50 39 51 61 48 47 42
normalized size 1 1. 1. 0.78 1.02 1.22 0.96 0.94 0.84
time (sec) N/A 0.052 0.009 0.008 1.516 0.21 0.205 0.22 7.667
Problem 552 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 50 50 50 39 51 61 48 53 44
normalized size 1 1. 1. 0.78 1.02 1.22 0.96 1.06 0.88
time (sec) N/A 0.073 0.017 0.008 1.529 0.21 0.207 0.218 20.417
Problem 553 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 110 110 100 85 113 169 105 116 0
normalized size 1 1. 0.91 0.77 1.03 1.54 0.95 1.05 0.
time (sec) N/A 0.218 0.173 0.016 1.512 0.214 0.595 0.219 0.
Problem 554 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 110 110 97 85 113 169 105 116 0
normalized size 1 1. 0.88 0.77 1.03 1.54 0.95 1.05 0.
time (sec) N/A 0.207 0.136 0.015 1.501 0.215 0.593 0.219 0.
Problem 555 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A A A A A A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 81 81 122 68 82 131 70 85 65
normalized size 1 1. 1.51 0.84 1.01 1.62 0.86 1.05 0.8
time (sec) N/A 0.127 0.771 0.017 1.507 0.205 0.272 0.22 21.96
Problem 556 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 92 92 84 73 100 190 82 103 0
normalized size 1 1. 0.91 0.79 1.09 2.07 0.89 1.12 0.
time (sec) N/A 0.207 0.059 0.019 1.581 0.213 0.463 0.22 0.
Problem 557 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 148 148 119 115 142 362 124 150 0
normalized size 1 1. 0.8 0.78 0.96 2.45 0.84 1.01 0.
time (sec) N/A 0.319 0.097 0.027 1.646 0.214 0.878 0.222 0.
Problem 558 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 146 146 121 115 142 363 124 150 0
normalized size 1 1. 0.83 0.79 0.97 2.49 0.85 1.03 0.
time (sec) N/A 0.314 0.137 0.023 1.728 0.214 0.865 0.223 0.
Problem 559 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 142 142 111 111 128 269 116 143 117
normalized size 1 1. 0.78 0.78 0.9 1.89 0.82 1.01 0.82
time (sec) N/A 0.268 0.118 0.022 1.556 0.214 0.833 0.22 48.127
Problem 560 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 142 142 111 111 128 269 116 143 117
normalized size 1 1. 0.78 0.78 0.9 1.89 0.82 1.01 0.82
time (sec) N/A 0.262 0.105 0.021 1.519 0.215 0.834 0.221 55.487
Problem 561 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 113 113 103 102 117 193 110 120 100
normalized size 1 1. 0.91 0.9 1.04 1.71 0.97 1.06 0.88
time (sec) N/A 0.167 0.093 0.019 1.521 0.212 0.679 0.22 25.849
Problem 562 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 131 131 111 102 128 269 119 134 0
normalized size 1 1. 0.85 0.78 0.98 2.05 0.91 1.02 0.
time (sec) N/A 0.264 0.11 0.019 1.543 0.214 0.824 0.22 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 99 99 91 76 101 116 102 93 92
normalized size 1 1. 0.92 0.77 1.02 1.17 1.03 0.94 0.93
time (sec) N/A 0.136 0.032 0.013 1.524 0.213 0.574 0.22 19.244
Problem 564 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 162 162 150 0 0 0 0 0 190
normalized size 1 1. 0.93 0. 0. 0. 0. 0. 1.17
time (sec) N/A 0.312 0.492 0.083 0. 0. 0. 0. 53.302
Problem 565 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 84 84 162 130 0 412 1251 572 0
normalized size 1 1. 1.93 1.55 0. 4.9 14.89 6.81 0.
time (sec) N/A 0.111 0.186 0.029 0. 0.228 10.984 0.227 0.
Problem 566 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 61 61 99 87 0 216 552 289 0
normalized size 1 1. 1.62 1.43 0. 3.54 9.05 4.74 0.
time (sec) N/A 0.082 0.109 0.024 0. 0.227 5.457 0.224 0.
Problem 567 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 42 45 0 76 163 99 0
normalized size 1 1. 1.02 1.1 0. 1.85 3.98 2.41 0.
time (sec) N/A 0.046 0.092 0.021 0. 0.224 2.412 0.22 0.
Problem 568 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 13 0 23 15 16 0
normalized size 1 1. 1. 1.08 0. 1.92 1.25 1.33 0.
time (sec) N/A 0.01 0.003 0.002 0. 0.227 0.037 0.213 0.
Problem 569 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-2) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 42 42 48 0 0 0 0 0 32
normalized size 1 1. 1.14 0. 0. 0. 0. 0. 0.76
time (sec) N/A 0.063 0.07 0.086 0. 0. 0. 0. 14.76
Problem 570 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-2) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 56 0 0 0 0 0 32
normalized size 1 1. 1.27 0. 0. 0. 0. 0. 0.73
time (sec) N/A 0.06 0.088 0.081 0. 0. 0. 0. 8.996
Problem 571 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 Yes TBD TBD TBD TBD TBD TBD
size 46 46 108 0 0 0 0 0 36
normalized size 1 1. 2.35 0. 0. 0. 0. 0. 0.78
time (sec) N/A 0.06 0.137 0.096 0. 0. 0. 0. 9.021
Problem 572 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F(-2) F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 305 305 399 0 0 0 0 0 292
normalized size 1 1. 1.31 0. 0. 0. 0. 0. 0.96
time (sec) N/A 0.494 2.76 0.26 0. 0. 0. 0. 57.742
Problem 573 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F(-1) F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 45 0 0 89 0 0 0
normalized size 1 1. 1. 0. 0. 1.98 0. 0. 0.
time (sec) N/A 0.655 0.14 0.125 0. 0.233 0. 0. 0.
Problem 574 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 273 273 178 0 0 0 0 0 214
normalized size 1 1. 0.65 0. 0. 0. 0. 0. 0.78
time (sec) N/A 0.377 0.338 0.108 0. 0. 0. 0. 52.157
Problem 575 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 297 297 204 0 0 0 0 0 272
normalized size 1 1. 0.69 0. 0. 0. 0. 0. 0.92
time (sec) N/A 0.413 1.555 0.114 0. 0. 0. 0. 55.442
Problem 576 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 162 162 151 0 0 0 0 0 122
normalized size 1 1. 0.93 0. 0. 0. 0. 0. 0.75
time (sec) N/A 0.264 0.322 0.139 0. 0. 0. 0. 39.191
Problem 577 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 24 24 24 21 27 27 0 0 20
normalized size 1 1. 1. 0.88 1.12 1.12 0. 0. 0.83
time (sec) N/A 0.023 0.076 0.013 1.542 0.218 0. 0. 31.219
Problem 578 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C F F F(-1) F F F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 103 103 166 0 0 0 0 0 0
normalized size 1 1. 1.61 0. 0. 0. 0. 0. 0.
time (sec) N/A 1.411 0.317 0.068 0. 0. 0. 0. 0.
Problem 579 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 28 28 28 0 41 82 0 354 20
normalized size 1 1. 1. 0. 1.46 2.93 0. 12.64 0.71
time (sec) N/A 0.15 0.202 0.393 2.751 0.241 0. 0.257 18.305
Problem 580 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 45 45 46 138 104 161 0 323 36
normalized size 1 1. 1.02 3.07 2.31 3.58 0. 7.18 0.8
time (sec) N/A 0.242 0.266 0.677 2.205 0.246 0. 0.257 38.047
Problem 581 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 31 31 31 52 80 73 0 196 26
normalized size 1 1. 1. 1.68 2.58 2.35 0. 6.32 0.84
time (sec) N/A 0.314 0.292 0.185 1.939 0.249 0. 0.265 75.372
Problem 582 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C A A F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 41 136 124 119 0 244 0
normalized size 1 1. 0.91 3.02 2.76 2.64 0. 5.42 0.
time (sec) N/A 0.84 0.423 0.605 2.112 0.254 0. 0.274 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 [578] had the largest ratio of [ 0.7917 ]

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 2 1 1. 20 0.05
2 A 2 1 1. 22 0.045
3 A 2 1 1. 22 0.045
4 A 2 1 1. 25 0.04
5 A 2 1 1. 27 0.037
6 A 2 1 1. 27 0.037
7 A 6 6 1. 15 0.4
8 A 7 7 1. 15 0.467
9 A 8 7 1. 15 0.467
10 A 9 7 1. 15 0.467
11 A 6 6 1. 15 0.4
12 A 6 6 1. 16 0.375
13 A 3 3 1. 11 0.273
14 A 3 3 1. 15 0.2
15 A 3 3 1. 13 0.231
16 A 3 3 1. 13 0.231
17 A 6 6 1. 15 0.4
18 A 3 3 1. 19 0.158
19 A 3 3 1. 21 0.143
20 A 4 4 1. 31 0.129
21 A 3 3 1. 36 0.083
22 A 12 9 1. 35 0.257
23 A 11 8 1. 33 0.242
24 A 10 7 1. 36 0.194
25 A 10 9 1. 19 0.474
26 A 9 8 1. 18 0.444
27 A 4 4 1. 27 0.148
28 A 4 4 1. 28 0.143
29 A 4 4 1. 24 0.167
30 A 4 4 1. 24 0.167
31 A 4 4 1. 26 0.154
32 A 4 4 1. 26 0.154
33 A 4 4 1. 28 0.143
34 A 4 4 1. 30 0.133
35 A 4 4 1. 29 0.138
36 A 4 4 1. 29 0.138
37 A 4 4 1. 29 0.138
38 A 4 4 1. 32 0.125
39 A 6 6 1. 13 0.462
40 A 4 4 1. 49 0.082
41 A 4 4 1. 57 0.07
42 A 2 2 1. 31 0.065
43 A 3 3 1. 42 0.071
44 A 4 4 1. 42 0.095
45 A 4 4 1. 45 0.089
46 A 4 4 1. 45 0.089
47 A 4 4 1. 44 0.091
48 A 3 3 1. 20 0.15
49 A 6 6 1. 20 0.3
50 A 2 2 1. 16 0.125
51 A 5 5 1. 20 0.25
52 A 3 3 1. 18 0.167
53 A 2 1 1. 30 0.033
54 A 2 1 1. 30 0.033
55 A 2 1 1. 28 0.036
56 A 2 1 1. 30 0.033
57 A 7 7 1. 30 0.233
58 A 8 8 1. 30 0.267
59 A 7 5 1.08 32 0.156
60 A 6 5 1.05 32 0.156
61 A 5 4 1.02 32 0.125
62 A 4 4 1. 32 0.125
63 A 5 5 1. 32 0.156
64 A 6 5 1. 32 0.156
65 A 7 5 1. 32 0.156
66 A 7 6 1. 32 0.188
67 A 6 6 1. 32 0.188
68 A 5 5 1. 32 0.156
69 A 6 6 1. 32 0.188
70 A 8 7 1. 17 0.412
71 A 10 8 1. 17 0.471
72 A 10 8 0.99 17 0.471
73 A 10 8 0.99 22 0.364
74 A 10 8 1. 22 0.364
75 A 10 8 1. 22 0.364
76 A 9 8 1. 17 0.471
77 A 9 8 1. 19 0.421
78 A 8 7 1. 18 0.389
79 A 3 3 1. 18 0.167
80 A 3 3 1. 22 0.136
81 A 1 1 1. 20 0.05
82 A 1 1 1. 20 0.05
83 A 3 3 1. 33 0.091
84 A 3 3 1. 35 0.086
85 A 1 1 1. 36 0.028
86 A 1 1 1. 36 0.028
87 A 3 3 1. 30 0.1
88 A 3 3 1. 32 0.094
89 A 1 1 1. 33 0.03
90 A 1 1 1. 33 0.03
91 A 1 1 1. 20 0.05
92 A 1 1 1. 24 0.042
93 A 3 3 1. 22 0.136
94 A 3 3 1. 22 0.136
95 A 1 1 1. 20 0.05
96 A 1 1 1. 20 0.05
97 A 3 3 1. 18 0.167
98 A 3 3 1. 22 0.136
99 A 1 1 1. 35 0.029
100 A 1 1 1. 37 0.027
101 A 3 3 1. 38 0.079
102 A 3 3 1. 38 0.079
103 A 1 1 1. 32 0.031
104 A 1 1 1. 34 0.029
105 A 3 3 1. 35 0.086
106 A 3 3 1. 35 0.086
107 A 3 3 1. 17 0.176
108 A 3 3 1. 18 0.167
109 A 3 3 1. 19 0.158
110 A 3 3 1. 20 0.15
111 A 3 3 1. 15 0.2
112 A 3 3 1. 17 0.176
113 A 3 3 1. 15 0.2
114 A 3 3 1. 17 0.176
115 A 7 5 1. 16 0.312
116 A 13 9 1. 15 0.6
117 A 8 6 1. 16 0.375
118 A 14 10 1. 15 0.667
119 A 9 6 1. 16 0.375
120 A 15 10 1. 15 0.667
121 A 10 6 1. 16 0.375
122 A 16 10 1. 15 0.667
123 A 7 5 1. 15 0.333
124 A 13 9 1. 13 0.692
125 A 7 5 1. 21 0.238
126 A 13 9 1. 20 0.45
127 A 8 6 1. 21 0.286
128 A 14 10 1. 20 0.5
129 A 9 6 1. 21 0.286
130 A 15 10 1. 20 0.5
131 A 10 6 1. 21 0.286
132 A 16 10 1. 20 0.5
133 A 3 2 1. 11 0.182
134 A 3 2 1. 12 0.167
135 A 2 1 1. 15 0.067
136 A 3 2 1. 14 0.143
137 A 2 1 1. 17 0.059
138 A 3 2 1. 19 0.105
139 A 2 1 1. 20 0.05
140 A 2 2 1. 14 0.143
141 A 4 3 1. 17 0.176
142 A 5 4 1. 19 0.21
143 A 3 2 1. 20 0.1
144 A 3 2 1. 21 0.095
145 A 3 2 1. 22 0.091
146 A 3 2 1. 24 0.083
147 A 3 2 1. 25 0.08
148 A 3 2 1. 25 0.08
149 A 8 6 1. 26 0.231
150 A 9 7 1. 26 0.269
151 A 10 7 1. 26 0.269
152 A 10 7 0.85 11 0.636
153 A 3 3 1. 12 0.25
154 A 13 9 0.87 15 0.6
155 A 10 7 0.85 14 0.5
156 A 9 6 1. 17 0.353
157 A 14 10 0.87 19 0.526
158 A 13 9 1. 20 0.45
159 A 2 2 1. 14 0.143
160 A 12 7 0.86 17 0.412
161 A 5 5 1. 19 0.263
162 A 15 10 0.88 20 0.5
163 A 13 8 0.86 21 0.381
164 A 12 7 1. 22 0.318
165 A 16 11 0.88 24 0.458
166 A 15 10 1. 25 0.4
167 A 2 2 1. 19 0.105
168 A 11 8 1. 17 0.471
169 A 9 7 1. 20 0.35
170 A 15 10 1. 19 0.526
171 A 11 8 1. 31 0.258
172 A 8 6 1. 31 0.194
173 A 9 7 1. 31 0.226
174 A 10 8 1. 31 0.258
175 A 17 11 1. 30 0.367
176 A 14 10 1. 30 0.333
177 A 15 11 1. 30 0.367
178 A 16 12 1. 30 0.4
179 A 2 2 1. 21 0.095
180 A 2 2 1. 21 0.095
181 A 2 1 1. 19 0.053
182 A 2 2 1. 19 0.105
183 A 2 2 1. 21 0.095
184 A 2 2 1. 21 0.095
185 A 2 2 1. 21 0.095
186 A 13 9 1. 36 0.25
187 A 13 9 1. 41 0.22
188 A 13 9 1. 46 0.196
189 A 19 12 1. 35 0.343
190 A 19 12 1. 40 0.3
191 A 19 12 1. 45 0.267
192 A 8 6 1. 36 0.167
193 A 8 6 1. 41 0.146
194 A 10 8 1. 46 0.174
195 A 14 10 1. 35 0.286
196 A 14 10 1. 40 0.25
197 A 16 11 1. 45 0.244
198 A 9 7 1. 36 0.194
199 A 9 7 1. 41 0.171
200 A 9 7 1. 46 0.152
201 A 15 11 1. 35 0.314
202 A 15 11 1. 40 0.275
203 A 15 11 1. 45 0.244
204 A 10 8 1. 36 0.222
205 A 10 8 1. 41 0.195
206 A 10 8 1. 46 0.174
207 A 16 12 1. 35 0.343
208 A 16 12 1. 40 0.3
209 A 16 12 1. 45 0.267
210 A 6 5 1. 17 0.294
211 A 7 6 1. 18 0.333
212 A 7 6 1. 19 0.316
213 A 6 5 1. 20 0.25
214 A 8 7 1. 22 0.318
215 A 1 1 1. 23 0.043
216 A 1 1 1. 26 0.038
217 A 1 1 1. 28 0.036
218 A 1 1 1. 31 0.032
219 A 1 1 1. 15 0.067
220 A 12 10 1. 42 0.238
221 F 0 0 N/A 0 N/A
222 F 0 0 N/A 0 N/A
223 A 3 2 1. 30 0.067
224 A 3 2 1. 30 0.067
225 A 3 2 1. 30 0.067
226 A 3 2 1. 30 0.067
227 A 3 2 1. 30 0.067
228 A 3 2 1. 30 0.067
229 A 3 2 1. 30 0.067
230 A 3 2 1. 30 0.067
231 A 3 2 1. 30 0.067
232 A 3 2 1. 30 0.067
233 A 9 8 1. 30 0.267
234 A 9 8 1. 30 0.267
235 A 9 8 1. 30 0.267
236 A 9 8 1. 30 0.267
237 A 9 8 1. 30 0.267
238 A 9 8 1. 28 0.286
239 A 8 7 1. 27 0.259
240 A 8 7 1. 30 0.233
241 A 8 7 1. 30 0.233
242 A 8 7 1. 30 0.233
243 A 8 7 1. 30 0.233
244 A 8 7 1. 30 0.233
245 A 8 7 1. 30 0.233
246 A 8 7 1. 30 0.233
247 A 8 7 1. 30 0.233
248 A 8 7 1. 30 0.233
249 A 8 7 1. 30 0.233
250 A 8 7 1. 30 0.233
251 A 3 2 1. 30 0.067
252 A 3 2 1. 30 0.067
253 A 3 2 1. 30 0.067
254 A 3 2 1. 30 0.067
255 A 3 2 1. 30 0.067
256 A 3 2 1. 30 0.067
257 A 3 2 1. 30 0.067
258 A 3 2 1. 30 0.067
259 A 3 2 1. 30 0.067
260 A 9 8 1. 30 0.267
261 A 12 10 1. 30 0.333
262 A 9 8 1. 30 0.267
263 A 11 10 1. 30 0.333
264 A 9 8 1. 30 0.267
265 A 10 9 1. 28 0.321
266 A 9 9 1. 27 0.333
267 A 9 8 1. 30 0.267
268 A 9 8 1. 30 0.267
269 A 9 8 1. 30 0.267
270 A 9 8 1. 30 0.267
271 A 9 8 1. 30 0.267
272 A 9 8 1. 30 0.267
273 A 9 8 1. 30 0.267
274 A 9 8 1. 30 0.267
275 A 9 8 1. 30 0.267
276 A 3 2 1. 30 0.067
277 A 3 2 1. 30 0.067
278 A 3 2 1. 30 0.067
279 A 3 2 1. 30 0.067
280 A 3 2 1. 30 0.067
281 A 3 2 1. 30 0.067
282 A 3 2 1. 30 0.067
283 A 3 2 1. 30 0.067
284 A 3 2 1. 30 0.067
285 A 3 2 1. 30 0.067
286 A 10 9 1. 30 0.3
287 A 14 10 1. 30 0.333
288 A 10 9 1. 30 0.3
289 A 13 10 1. 30 0.333
290 A 10 9 1. 30 0.3
291 A 12 10 1. 30 0.333
292 A 10 10 1. 30 0.333
293 A 10 10 1. 28 0.357
294 A 9 9 1. 27 0.333
295 A 9 9 1. 30 0.3
296 A 9 9 1. 30 0.3
297 A 10 9 1. 30 0.3
298 A 10 9 1. 30 0.3
299 A 10 8 1. 30 0.267
300 A 10 8 1. 30 0.267
301 A 10 8 1. 30 0.267
302 A 10 8 1. 30 0.267
303 A 10 8 1. 30 0.267
304 A 8 7 1. 16 0.438
305 A 5 4 1. 16 0.25
306 A 8 7 1. 16 0.438
307 A 6 6 1. 14 0.429
308 A 6 5 1. 16 0.312
309 A 6 5 1. 16 0.312
310 A 3 2 1. 16 0.125
311 A 6 6 1. 14 0.429
312 A 6 6 1. 16 0.375
313 A 2 1 1. 18 0.056
314 A 2 1 1. 19 0.053
315 A 2 1 1. 21 0.048
316 A 2 1 1.19 20 0.05
317 A 2 1 1. 21 0.048
318 A 2 1 1. 23 0.043
319 A 2 1 1. 20 0.05
320 A 2 1 1. 21 0.048
321 A 2 1 1. 23 0.043
322 A 2 1 1. 20 0.05
323 A 2 1 1. 21 0.048
324 A 2 1 1. 23 0.043
325 A 10 8 1. 23 0.348
326 A 10 8 1. 23 0.348
327 A 10 8 1. 21 0.381
328 A 8 7 1. 20 0.35
329 A 10 8 1. 23 0.348
330 A 10 8 1. 23 0.348
331 A 10 8 1. 23 0.348
332 A 7 7 1. 23 0.304
333 A 7 7 1. 21 0.333
334 A 7 7 1. 20 0.35
335 A 11 9 1. 23 0.391
336 A 11 9 1. 23 0.391
337 A 11 9 1. 23 0.391
338 A 11 9 1. 23 0.391
339 A 8 8 1. 23 0.348
340 A 8 8 1. 21 0.381
341 A 8 8 1. 20 0.4
342 A 12 9 1. 23 0.391
343 A 12 9 1. 23 0.391
344 A 12 9 1. 23 0.391
345 A 12 9 1. 23 0.391
346 A 9 8 1. 23 0.348
347 A 9 9 1. 21 0.429
348 A 9 8 1. 20 0.4
349 A 13 9 1. 23 0.391
350 A 13 9 1. 23 0.391
351 A 13 9 1. 23 0.391
352 A 13 9 1. 23 0.391
353 A 5 5 1. 20 0.25
354 A 4 4 1. 18 0.222
355 A 5 5 1. 20 0.25
356 A 4 4 1. 18 0.222
357 A 4 4 1. 27 0.148
358 A 4 4 1. 29 0.138
359 A 4 4 1. 28 0.143
360 A 4 4 1. 28 0.143
361 A 2 1 1. 36 0.028
362 A 2 1 1. 36 0.028
363 A 2 1 1. 36 0.028
364 A 2 1 1. 34 0.029
365 A 2 1 1. 33 0.03
366 A 2 1 1. 36 0.028
367 A 2 1 1. 36 0.028
368 A 2 1 1. 36 0.028
369 A 2 1 1. 36 0.028
370 A 2 1 1. 36 0.028
371 A 2 1 1. 38 0.026
372 A 2 1 1. 38 0.026
373 A 3 2 1. 38 0.053
374 A 3 2 1. 36 0.056
375 A 3 2 1. 35 0.057
376 A 3 2 1. 38 0.053
377 A 3 2 1. 38 0.053
378 A 3 2 1. 38 0.053
379 A 2 1 1. 38 0.026
380 A 2 1 1. 38 0.026
381 A 2 1 1. 38 0.026
382 A 2 1 1. 38 0.026
383 A 3 2 1. 38 0.053
384 A 3 2 1. 36 0.056
385 A 3 2 1. 35 0.057
386 A 3 2 1. 38 0.053
387 A 3 2 1. 38 0.053
388 A 3 2 1. 38 0.053
389 A 2 1 1. 38 0.026
390 A 2 1 1. 38 0.026
391 A 13 9 1. 38 0.237
392 A 13 9 1. 38 0.237
393 A 13 9 1. 38 0.237
394 A 13 9 1. 36 0.25
395 A 10 8 0.99 35 0.229
396 A 10 8 0.99 38 0.21
397 A 10 8 1. 38 0.21
398 A 10 8 0.99 38 0.21
399 A 10 8 0.99 38 0.21
400 A 11 9 1. 38 0.237
401 A 11 9 1. 38 0.237
402 A 11 9 0.99 38 0.237
403 A 11 9 1. 36 0.25
404 A 9 8 1. 35 0.229
405 A 11 9 0.99 38 0.237
406 A 11 9 1. 38 0.237
407 A 11 9 0.99 38 0.237
408 A 11 9 0.99 38 0.237
409 A 12 10 1. 38 0.263
410 A 10 9 1. 38 0.237
411 A 8 8 1. 38 0.21
412 A 8 8 1. 36 0.222
413 A 8 8 1. 35 0.229
414 A 12 9 0.99 38 0.237
415 A 12 9 1. 38 0.237
416 A 12 9 0.99 38 0.237
417 A 12 9 0.99 38 0.237
418 A 10 7 1. 25 0.28
419 A 8 7 1. 25 0.28
420 A 6 6 1. 23 0.261
421 A 5 5 1. 22 0.227
422 A 7 7 1. 25 0.28
423 A 8 8 1. 25 0.32
424 A 9 8 1. 25 0.32
425 A 8 7 1. 25 0.28
426 A 7 7 1. 25 0.28
427 A 6 6 1. 25 0.24
428 A 4 4 1. 25 0.16
429 A 6 6 1. 23 0.261
430 A 4 4 1. 22 0.182
431 A 10 10 1. 25 0.4
432 A 11 11 1. 25 0.44
433 A 13 9 1. 35 0.257
434 A 11 9 1. 35 0.257
435 A 9 8 1. 33 0.242
436 A 8 7 1. 32 0.219
437 A 11 11 1. 35 0.314
438 A 11 11 1. 35 0.314
439 A 10 9 1. 35 0.257
440 A 11 9 1. 35 0.257
441 A 12 9 1. 35 0.257
442 A 10 10 1. 35 0.286
443 A 11 10 1. 35 0.286
444 A 12 10 1. 35 0.286
445 A 13 10 1. 35 0.286
446 A 14 9 1. 35 0.257
447 A 12 9 1. 35 0.257
448 A 10 8 1. 33 0.242
449 A 9 7 1. 32 0.219
450 A 12 11 1. 35 0.314
451 A 12 11 1. 35 0.314
452 A 11 9 1. 35 0.257
453 A 12 9 1. 35 0.257
454 A 13 9 1. 35 0.257
455 A 11 11 1. 35 0.314
456 A 12 11 1. 35 0.314
457 A 13 11 1. 35 0.314
458 A 11 10 1. 35 0.286
459 A 12 10 1. 35 0.286
460 A 13 10 1. 35 0.286
461 A 14 10 1. 35 0.286
462 A 8 7 1.18 20 0.35
463 A 7 4 1.17 21 0.19
464 A 7 4 1.17 23 0.174
465 A 2 1 1. 23 0.043
466 A 2 1 1. 26 0.038
467 A 3 2 1. 25 0.08
468 A 4 3 1. 28 0.107
469 A 3 2 1. 25 0.08
470 A 4 3 1. 28 0.107
471 A 3 2 1. 25 0.08
472 A 4 3 1. 28 0.107
473 A 9 7 1. 26 0.269
474 A 12 9 1. 29 0.31
475 A 15 10 1. 25 0.4
476 A 18 12 1. 28 0.429
477 A 14 10 1. 25 0.4
478 A 14 10 1. 28 0.357
479 A 15 11 1. 25 0.44
480 A 15 11 1. 28 0.393
481 A 16 11 1. 25 0.44
482 A 16 11 1. 28 0.393
483 A 14 12 1. 30 0.4
484 A 13 11 1. 30 0.367
485 A 12 11 1. 30 0.367
486 A 12 11 1. 28 0.393
487 A 11 10 1. 27 0.37
488 A 14 13 1. 30 0.433
489 A 14 13 1. 30 0.433
490 A 14 13 1. 30 0.433
491 A 15 14 1. 30 0.467
492 A 13 13 1. 30 0.433
493 A 14 14 1. 30 0.467
494 A 12 12 1. 30 0.4
495 A 13 12 1. 30 0.4
496 A 14 13 1. 30 0.433
497 A 15 13 1. 30 0.433
498 A 16 12 1. 30 0.4
499 A 15 11 1. 30 0.367
500 A 14 11 1. 30 0.367
501 A 14 11 1. 28 0.393
502 A 13 10 1. 27 0.37
503 A 16 13 1. 30 0.433
504 A 16 14 1. 30 0.467
505 A 16 15 1. 30 0.5
506 A 16 14 1. 30 0.467
507 A 15 15 1. 30 0.5
508 A 15 15 1. 30 0.5
509 A 15 15 1. 30 0.5
510 A 16 16 1. 30 0.533
511 A 14 13 1. 30 0.433
512 A 15 14 1. 30 0.467
513 A 13 12 1. 30 0.4
514 A 14 12 1. 30 0.4
515 A 15 13 1. 30 0.433
516 A 16 13 1. 30 0.433
517 A 12 10 1. 30 0.333
518 A 11 9 1. 30 0.3
519 A 10 9 1. 30 0.3
520 A 10 9 1. 28 0.321
521 A 9 8 1. 27 0.296
522 A 12 11 1. 30 0.367
523 A 13 12 1. 30 0.4
524 A 11 10 1. 30 0.333
525 A 12 10 1. 30 0.333
526 A 13 11 1. 30 0.367
527 A 14 11 1. 30 0.367
528 A 12 11 1. 30 0.367
529 A 11 10 1. 30 0.333
530 A 10 9 1. 30 0.3
531 A 9 8 1. 30 0.267
532 A 10 9 1. 30 0.3
533 A 7 6 1. 28 0.214
534 A 4 4 1. 27 0.148
535 A 11 10 1. 30 0.333
536 A 13 12 1. 30 0.4
537 A 15 12 1. 30 0.4
538 A 17 13 1. 30 0.433
539 A 14 4 1. 30 0.133
540 A 12 8 1.19 25 0.32
541 A 13 7 1. 28 0.25
542 A 2 2 1. 22 0.091
543 A 2 2 1. 35 0.057
544 A 2 2 1. 35 0.057
545 A 2 2 1. 22 0.091
546 A 3 3 1. 25 0.12
547 A 6 5 1. 15 0.333
548 A 6 5 1. 15 0.333
549 A 7 6 1. 20 0.3
550 A 7 6 1. 20 0.3
551 A 7 7 1. 17 0.412
552 A 7 6 1. 25 0.24
553 A 11 6 1. 35 0.171
554 A 11 6 1. 35 0.171
555 A 8 5 1. 22 0.227
556 A 11 7 1. 25 0.28
557 A 17 7 1. 15 0.467
558 A 17 7 1. 15 0.467
559 A 14 7 1. 20 0.35
560 A 14 7 1. 20 0.35
561 A 15 9 1. 17 0.529
562 A 14 7 1. 25 0.28
563 A 13 7 1. 18 0.389
564 A 7 4 1. 36 0.111
565 A 4 3 1. 19 0.158
566 A 4 3 1. 19 0.158
567 A 4 2 1. 17 0.118
568 A 1 0 1. 9 0.
569 A 3 3 1. 19 0.158
570 A 3 3 1. 19 0.158
571 A 3 3 1. 19 0.158
572 A 13 4 1. 38 0.105
573 A 2 2 1. 58 0.034
574 A 10 3 1. 30 0.1
575 A 13 4 1. 36 0.111
576 A 4 4 1. 35 0.114
577 A 1 1 1. 46 0.022
578 A 46 19 1. 24 0.792
579 A 1 1 1. 48 0.021
580 A 1 1 1. 45 0.022
581 A 1 1 1. 69 0.014
582 A 1 1 1. 86 0.012

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