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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 C C F F(-1) F F F(-1)
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 458 458 275 251 0 0 0 0 0
normalized size 1 1. 0.6 0.55 0. 0. 0. 0. 0.
time (sec) N/A 1.034 1.668 0.022 0. 0. 0. 0. 0.
Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F(-1) F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 218 218 719 247 0 0 0 0 0
normalized size 1 1. 3.3 1.13 0. 0. 0. 0. 0.
time (sec) N/A 0.604 2.008 0.039 0. 0. 0. 0. 0.
Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-1) F F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 65 65 685 327 0 0 0 0 0
normalized size 1 1. 10.54 5.03 0. 0. 0. 0. 0.
time (sec) N/A 0.226 2.566 0.236 0. 0. 0. 0. 0.
Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-1) F F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 63 63 1137 311 0 0 0 0 0
normalized size 1 1. 18.05 4.94 0. 0. 0. 0. 0.
time (sec) N/A 0.228 6.281 0.232 0. 0. 0. 0. 0.
Problem 5 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-1) A F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 72 72 623 336 0 0 0 0 0
normalized size 1 1. 8.65 4.67 0. 0. 0. 0. 0.
time (sec) N/A 0.197 2.403 0.225 0. 0. 11.305 0. 0.
Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-1) A F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 70 70 1198 337 0 0 0 0 0
normalized size 1 1. 17.11 4.81 0. 0. 0. 0. 0.
time (sec) N/A 0.198 6.222 0.217 0. 0. 11.224 0. 0.
Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F F(-1) F F(-1) F(-1)
verified N/A NO N/A TBD TBD TBD TBD TBD TBD
size 561 561 0 437 0 0 0 0 0
normalized size 1 1. 0. 0.78 0. 0. 0. 0. 0.
time (sec) N/A 1.4 0.836 0.034 0. 0. 0. 0. 0.
Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F F(-1) F F(-1) F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 527 527 0 439 0 0 0 0 0
normalized size 1 1. 0. 0.83 0. 0. 0. 0. 0.
time (sec) N/A 1.856 0.866 0.057 0. 0. 0. 0. 0.
Problem 9 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 247 247 183 260 0 1035 109 325 230
normalized size 1 1. 0.74 1.05 0. 4.19 0.44 1.32 0.93
time (sec) N/A 0.326 0.123 0.009 0. 0.326 1.914 0.307 61.89
Problem 10 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 247 247 184 260 0 1035 110 325 230
normalized size 1 1. 0.74 1.05 0. 4.19 0.45 1.32 0.93
time (sec) N/A 0.28 0.087 0.005 0. 0.317 2.743 0.293 62.351
Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 86 95 122 0 1019 110 347 76
normalized size 1 1. 1.1 1.42 0. 11.85 1.28 4.03 0.88
time (sec) N/A 0.101 0.047 0.006 0. 0.332 1.998 0.291 16.019
Problem 12 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 86 86 95 122 0 1019 110 347 76
normalized size 1 1. 1.1 1.42 0. 11.85 1.28 4.03 0.88
time (sec) N/A 0.089 0.035 0.003 0. 0.318 2.812 0.286 16.802
Problem 13 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 40 40 33 122 53 38 41 70 32
normalized size 1 1. 0.82 3.05 1.32 0.95 1.02 1.75 0.8
time (sec) N/A 0.042 0.019 0.009 0.848 0.288 0.236 0.274 5.347
Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 51 51 44 82 53 55 49 54 46
normalized size 1 1. 0.86 1.61 1.04 1.08 0.96 1.06 0.9
time (sec) N/A 0.048 0.021 0.003 0.836 0.285 0.194 0.276 12.344
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 16 16 32 13 34 42 32 39 15
normalized size 1 1. 2. 0.81 2.12 2.62 2. 2.44 0.94
time (sec) N/A 0.011 0.023 0.002 0.812 0.301 0.166 0.27 2.62
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 16 16 16 13 16 16 15 16 15
normalized size 1 1. 1. 0.81 1. 1. 0.94 1. 0.94
time (sec) N/A 0.009 0.008 0.004 0.862 0.28 0.178 0.268 2.582
Problem 17 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 75 75 60 254 0 1 138 0 73
normalized size 1 1. 0.8 3.39 0. 0.01 1.84 0. 0.97
time (sec) N/A 0.085 0.043 0.006 0. 0.313 1.928 0. 13.192
Problem 18 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 106 106 91 254 0 1 131 0 100
normalized size 1 1. 0.86 2.4 0. 0.01 1.24 0. 0.94
time (sec) N/A 0.088 0.042 0.006 0. 0.33 1.942 0. 37.836
Problem 19 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 75 75 60 290 0 1 87 300 73
normalized size 1 1. 0.8 3.87 0. 0.01 1.16 4. 0.97
time (sec) N/A 0.097 0.051 0.013 0. 0.289 0.464 0.278 12.574
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 90 90 75 290 0 1 80 300 83
normalized size 1 1. 0.83 3.22 0. 0.01 0.89 3.33 0.92
time (sec) N/A 0.085 0.036 0.004 0. 0.291 1.284 0.277 27.973
Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 13 13 25 18 23 23 22 26 14
normalized size 1 1. 1.92 1.38 1.77 1.77 1.69 2. 1.08
time (sec) N/A 0.018 0.009 0.007 0.861 0.278 0.418 0.269 4.45
Problem 22 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 16 16 27 100 0 0 70 0 15
normalized size 1 1. 1.69 6.25 0. 0. 4.38 0. 0.94
time (sec) N/A 0.059 0.047 0.017 0. 0. 3.62 0. 12.047
Problem 23 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 Yes TBD TBD TBD TBD TBD TBD
size 35 35 46 99 0 0 70 0 34
normalized size 1 1. 1.31 2.83 0. 0. 2. 0. 0.97
time (sec) N/A 0.112 0.05 0.008 0. 0. 4.038 0. 26.392
Problem 24 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 43 43 54 107 0 0 61 0 39
normalized size 1 1. 1.26 2.49 0. 0. 1.42 0. 0.91
time (sec) N/A 0.083 0.047 0.017 0. 0. 3.644 0. 18.211
Problem 25 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 73 108 0 0 60 0 82
normalized size 1 1. 0.82 1.21 0. 0. 0.67 0. 0.92
time (sec) N/A 0.151 0.05 0.008 0. 0. 3.942 0. 32.269
Problem 26 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 89 89 52 120 0 0 66 0 76
normalized size 1 1. 0.58 1.35 0. 0. 0.74 0. 0.85
time (sec) N/A 0.052 0.064 0.019 0. 0. 3.863 0. 7.226
Problem 27 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 152 152 51 120 0 0 66 0 134
normalized size 1 1. 0.34 0.79 0. 0. 0.43 0. 0.88
time (sec) N/A 0.1 0.051 0.006 0. 0. 3.397 0. 13.228
Problem 28 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 90 90 79 122 0 0 70 0 80
normalized size 1 1. 0.88 1.36 0. 0. 0.78 0. 0.89
time (sec) N/A 0.053 0.07 0.016 0. 0. 4.017 0. 8.116
Problem 29 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 156 156 78 122 0 0 71 0 139
normalized size 1 1. 0.5 0.78 0. 0. 0.46 0. 0.89
time (sec) N/A 0.104 0.056 0.005 0. 0. 3.598 0. 14.539
Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 10 15 0 0 0 0 8
normalized size 1 1. 1. 1.5 0. 0. 0. 0. 0.8
time (sec) N/A 0.034 0.037 0.035 0. 0. 0. 0. 9.08
Problem 31 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 10 10 31 118 0 0 71 0 8
normalized size 1 1. 3.1 11.8 0. 0. 7.1 0. 0.8
time (sec) N/A 0.056 0.049 0.019 0. 0. 3.698 0. 13.462
Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 24 28 0 0 0 0 20
normalized size 1 1. 1.04 1.22 0. 0. 0. 0. 0.87
time (sec) N/A 0.094 0.035 0.016 0. 0. 0. 0. 21.18
Problem 33 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 Yes TBD TBD TBD TBD TBD TBD
size 23 23 52 117 0 0 71 0 20
normalized size 1 1. 2.26 5.09 0. 0. 3.09 0. 0.87
time (sec) N/A 0.113 0.055 0.01 0. 0. 4.142 0. 27.207
Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 82 82 181 71 0 1 122 1 73
normalized size 1 1. 2.21 0.87 0. 0.01 1.49 0.01 0.89
time (sec) N/A 0.188 0.183 0.037 0. 0.287 1.32 0.454 17.748
Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 82 82 181 71 0 1 122 1 73
normalized size 1 1. 2.21 0.87 0. 0.01 1.49 0.01 0.89
time (sec) N/A 0.204 0.184 0.037 0. 0.283 1.37 0.453 17.776
Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 189 75 0 1 110 1 75
normalized size 1 1. 2.42 0.96 0. 0.01 1.41 0.01 0.96
time (sec) N/A 0.174 0.181 0.033 0. 0.293 1.487 0.439 18.13
Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 86 189 75 0 1 121 1 75
normalized size 1 1. 2.2 0.87 0. 0.01 1.41 0.01 0.87
time (sec) N/A 0.195 0.18 0.031 0. 0.283 1.354 0.439 18.198
Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 182 88 0 1 121 1 66
normalized size 1 1. 2.33 1.13 0. 0.01 1.55 0.01 0.85
time (sec) N/A 0.104 0.227 0.022 0. 0.29 2.15 0.453 31.47
Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 182 69 0 1 110 1 66
normalized size 1 1. 2.33 0.88 0. 0.01 1.41 0.01 0.85
time (sec) N/A 0.089 0.239 0.022 0. 0.29 2.275 0.454 31.567
Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 70 70 190 61 0 1 112 1 66
normalized size 1 1. 2.71 0.87 0. 0.01 1.6 0.01 0.94
time (sec) N/A 0.083 0.235 0.023 0. 0.278 2.234 0.44 32.386
Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 70 70 190 61 0 1 112 1 66
normalized size 1 1. 2.71 0.87 0. 0.01 1.6 0.01 0.94
time (sec) N/A 0.092 0.231 0.022 0. 0.291 2.205 0.441 32.234
Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 134 134 250 582 0 1 158 1 110
normalized size 1 1. 1.87 4.34 0. 0.01 1.18 0.01 0.82
time (sec) N/A 0.228 0.271 0.086 0. 0.276 2.82 0.703 46.312
Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 130 130 248 582 0 1 160 1 121
normalized size 1 1. 1.91 4.48 0. 0.01 1.23 0.01 0.93
time (sec) N/A 0.309 0.21 0.03 0. 0.292 2.791 0.703 32.108
Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 130 130 248 582 0 1 160 1 121
normalized size 1 1. 1.91 4.48 0. 0.01 1.23 0.01 0.93
time (sec) N/A 0.259 0.071 0.003 0. 0.286 2.841 0.706 39.126
Problem 45 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 26 34 34 26 34 26
normalized size 1 1. 1. 0.9 1.17 1.17 0.9 1.17 0.9
time (sec) N/A 0.051 0.03 0.01 0.733 0.28 1.874 0.278 24.184
Problem 46 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 60 60 138 52 0 1 117 69 58
normalized size 1 1. 2.3 0.87 0. 0.02 1.95 1.15 0.97
time (sec) N/A 0.129 0.347 0.012 0. 0.296 1.225 0.275 17.344
Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 62 62 126 277 0 1 95 1 49
normalized size 1 1. 2.03 4.47 0. 0.02 1.53 0.02 0.79
time (sec) N/A 0.108 0.098 0.051 0. 0.279 0.792 0.325 12.
Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 66 66 134 277 0 1 83 1 49
normalized size 1 1. 2.03 4.2 0. 0.02 1.26 0.02 0.74
time (sec) N/A 0.109 0.096 0.034 0. 0.294 0.834 0.318 12.583
Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 83 136 0 35 42 53 70
normalized size 1 1. 1.84 3.02 0. 0.78 0.93 1.18 1.56
time (sec) N/A 0.115 0.123 0.06 0. 0.282 0.257 0.276 9.451
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 15 15 17 12 15 26 22 15 10
normalized size 1 1. 1.13 0.8 1. 1.73 1.47 1. 0.67
time (sec) N/A 0.024 0.011 0.013 0.805 0.284 0.215 0.271 7.809
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 14 14 14 12 15 15 14 15 14
normalized size 1 1. 1. 0.86 1.07 1.07 1. 1.07 1.
time (sec) N/A 0.015 0.005 0.003 0.803 0.281 0.183 0.27 4.611
Problem 52 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 38 38 97 34 45 38 44 45 42
normalized size 1 1. 2.55 0.89 1.18 1. 1.16 1.18 1.11
time (sec) N/A 0.071 0.313 0.01 0.828 0.281 0.251 0.27 8.454
Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 48 48 99 40 0 32 42 0 49
normalized size 1 1. 2.06 0.83 0. 0.67 0.88 0. 1.02
time (sec) N/A 0.08 0.164 0.036 0. 0.28 0.245 0. 9.498
Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 97 40 0 38 44 0 49
normalized size 1 1. 2.11 0.87 0. 0.83 0.96 0. 1.07
time (sec) N/A 0.079 0.384 0.034 0. 0.271 0.248 0. 8.562
Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 17 18 23 20 14 62 15
normalized size 1 1. 0.81 0.86 1.1 0.95 0.67 2.95 0.71
time (sec) N/A 0.029 0.01 0.007 0.808 0.283 0.19 0.27 5.036
Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 101 40 0 35 42 0 49
normalized size 1 1. 2.2 0.87 0. 0.76 0.91 0. 1.07
time (sec) N/A 0.078 0.476 0.036 0. 0.272 0.251 0. 8.742
Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 99 40 0 28 29 0 46
normalized size 1 1. 2.25 0.91 0. 0.64 0.66 0. 1.05
time (sec) N/A 0.068 0.171 0.039 0. 0.29 0.232 0. 8.727
Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 14 20 0 20 12 0 19
normalized size 1 1. 0.61 0.87 0. 0.87 0.52 0. 0.83
time (sec) N/A 0.05 0.011 0.035 0. 0.303 0.212 0. 8.347
Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 12 11 16 16 8 16 8
normalized size 1 1. 1.09 1. 1.45 1.45 0.73 1.45 0.73
time (sec) N/A 0.01 0.008 0.009 0.732 0.292 0.157 0.27 6.049
Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 39 39 29 30 39 34 26 45 29
normalized size 1 1. 0.74 0.77 1. 0.87 0.67 1.15 0.74
time (sec) N/A 0.041 0.01 0.013 0.738 0.282 0.206 0.272 8.978
Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 42 82 0 65 46 104 48
normalized size 1 1. 0.95 1.86 0. 1.48 1.05 2.36 1.09
time (sec) N/A 0.072 0.021 0.048 0. 0.277 0.208 0.308 8.804
Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 66 66 127 279 0 1 94 1 53
normalized size 1 1. 1.92 4.23 0. 0.02 1.42 0.02 0.8
time (sec) N/A 0.063 0.123 0.022 0. 0.291 0.783 0.327 16.135
Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 84 136 0 34 39 53 68
normalized size 1 1. 1.83 2.96 0. 0.74 0.85 1.15 1.48
time (sec) N/A 0.074 0.122 0.019 0. 0.275 0.247 0.278 9.422
Problem 64 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 9 9 12 10 12 23 14 12 7
normalized size 1 1. 1.33 1.11 1.33 2.56 1.56 1.33 0.78
time (sec) N/A 0.023 0.011 0.009 0.841 0.315 0.215 0.269 7.907
Problem 65 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 11 11 15 15 7 15 8
normalized size 1 1. 1. 1. 1.36 1.36 0.64 1.36 0.73
time (sec) N/A 0.01 0.007 0.008 0.732 0.275 0.154 0.271 6.092
Problem 66 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 26 34 34 26 34 26
normalized size 1 1. 1. 0.9 1.17 1.17 0.9 1.17 0.9
time (sec) N/A 0.033 0.01 0.005 0.745 0.282 0.192 0.271 11.41
Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 42 39 0 62 46 0 46
normalized size 1 1. 0.84 0.78 0. 1.24 0.92 0. 0.92
time (sec) N/A 0.048 0.02 0.014 0. 0.28 0.2 0. 13.546
Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 42 39 0 59 46 0 46
normalized size 1 1. 0.84 0.78 0. 1.18 0.92 0. 0.92
time (sec) N/A 0.046 0.022 0.015 0. 0.278 0.201 0. 13.886
Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 31 28 36 36 22 46 26
normalized size 1 1. 1. 0.9 1.16 1.16 0.71 1.48 0.84
time (sec) N/A 0.029 0.007 0.005 0.741 0.28 0.192 0.275 9.239
Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 42 39 0 62 46 0 46
normalized size 1 1. 0.84 0.78 0. 1.24 0.92 0. 0.92
time (sec) N/A 0.048 0.024 0.015 0. 0.271 0.196 0. 13.831
Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 42 39 0 62 46 0 46
normalized size 1 1. 0.84 0.78 0. 1.24 0.92 0. 0.92
time (sec) N/A 0.051 0.031 0.015 0. 0.282 0.205 0. 15.012
Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 42 39 0 62 46 0 46
normalized size 1 1. 0.84 0.78 0. 1.24 0.92 0. 0.92
time (sec) N/A 0.05 0.026 0.015 0. 0.302 0.202 0. 13.878
Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 32 12 35 42 32 39 14
normalized size 1 1. 2.29 0.86 2.5 3. 2.29 2.79 1.
time (sec) N/A 0.014 0.011 0.003 0.826 0.28 0.169 0.272 4.577
Problem 74 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 31 30 39 36 29 45 29
normalized size 1 1. 0.79 0.77 1. 0.92 0.74 1.15 0.74
time (sec) N/A 0.04 0.01 0.011 0.747 0.281 0.2 0.271 9.088
Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 48 48 42 82 0 62 46 104 53
normalized size 1 1. 0.88 1.71 0. 1.29 0.96 2.17 1.1
time (sec) N/A 0.086 0.031 0.018 0. 0.276 0.207 0.309 8.778
Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 62 62 124 277 0 1 88 0 49
normalized size 1 1. 2. 4.47 0. 0.02 1.42 0. 0.79
time (sec) N/A 0.104 0.094 0.049 0. 0.29 0.735 0. 10.965
Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 83 136 0 35 41 35 87
normalized size 1 1. 1.69 2.78 0. 0.71 0.84 0.71 1.78
time (sec) N/A 0.155 0.231 0.058 0. 0.265 0.236 0.277 8.991
Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 81 110 0 35 41 35 66
normalized size 1 1. 1.88 2.56 0. 0.81 0.95 0.81 1.53
time (sec) N/A 0.089 0.109 0.048 0. 0.293 0.239 0.279 7.88
Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 83 104 0 35 41 35 87
normalized size 1 1. 1.69 2.12 0. 0.71 0.84 0.71 1.78
time (sec) N/A 0.123 0.165 0.042 0. 0.281 0.237 0.273 8.948
Problem 80 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 2 2 2 3 3 3 2 3 2
normalized size 1 1. 1. 1.5 1.5 1.5 1. 1.5 1.
time (sec) N/A 0.005 0.004 0.002 0.836 0.283 0.152 0.269 2.769
Problem 81 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 38 38 99 34 45 35 41 35 42
normalized size 1 1. 2.61 0.89 1.18 0.92 1.08 0.92 1.11
time (sec) N/A 0.06 0.321 0.007 0.835 0.286 0.226 0.273 7.142
Problem 82 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 35 35 30 88 53 32 39 53 32
normalized size 1 1. 0.86 2.51 1.51 0.91 1.11 1.51 0.91
time (sec) N/A 0.042 0.021 0.006 0.82 0.274 0.213 0.268 4.604
Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 12 20 0 9 7 41 19
normalized size 1 1. 0.52 0.87 0. 0.39 0.3 1.78 0.83
time (sec) N/A 0.036 0.011 0.018 0. 0.284 0.192 0.274 7.654
Problem 84 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 10 16 14 14 7 15 5
normalized size 1 1. 0.91 1.45 1.27 1.27 0.64 1.36 0.45
time (sec) N/A 0.007 0.006 0.008 0.737 0.26 0.145 0.268 5.049
Problem 85 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 29 22 28 28 19 58 53
normalized size 1 1. 0.45 0.34 0.43 0.43 0.29 0.89 0.82
time (sec) N/A 0.069 0.009 0.007 0.765 0.283 0.19 0.272 8.295
Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 40 70 0 53 39 53 44
normalized size 1 1. 0.93 1.63 0. 1.23 0.91 1.23 1.02
time (sec) N/A 0.064 0.019 0.043 0. 0.307 0.193 0.281 7.972
Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 40 82 0 57 39 53 51
normalized size 1 1. 0.87 1.78 0. 1.24 0.85 1.15 1.11
time (sec) N/A 0.076 0.019 0.045 0. 0.288 0.199 0.279 7.775
Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B F A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 62 62 125 279 0 1 87 0 46
normalized size 1 1. 2.02 4.5 0. 0.02 1.4 0. 0.74
time (sec) N/A 0.056 0.125 0.024 0. 0.293 0.736 0. 13.903
Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 87 136 0 38 42 35 88
normalized size 1 1. 1.74 2.72 0. 0.76 0.84 0.7 1.76
time (sec) N/A 0.129 0.217 0.017 0. 0.274 0.255 0.278 9.367
Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 82 111 0 38 42 35 68
normalized size 1 1. 1.86 2.52 0. 0.86 0.95 0.8 1.55
time (sec) N/A 0.066 0.126 0.017 0. 0.283 0.242 0.276 8.187
Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 39 39 10 104 0 18 10 35 88
normalized size 1 1. 0.26 2.67 0. 0.46 0.26 0.9 2.26
time (sec) N/A 0.092 0.01 0.017 0. 0.264 0.202 0.274 9.291
Problem 92 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 9 9 9 10 12 12 5 9 5
normalized size 1 1. 1. 1.11 1.33 1.33 0.56 1. 0.56
time (sec) N/A 0.007 0.007 0.008 0.737 0.294 0.156 0.27 5.425
Problem 93 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 25 22 28 28 19 47 19
normalized size 1 1. 1. 0.88 1.12 1.12 0.76 1.88 0.76
time (sec) N/A 0.026 0.008 0.005 0.751 0.275 0.188 0.272 9.755
Problem 94 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 46 46 40 62 46 50 39 46 39
normalized size 1 1. 0.87 1.35 1. 1.09 0.85 1. 0.85
time (sec) N/A 0.037 0.017 0.003 0.812 0.279 0.183 0.273 9.397
Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 40 35 0 57 39 53 39
normalized size 1 1. 0.87 0.76 0. 1.24 0.85 1.15 0.85
time (sec) N/A 0.04 0.02 0.014 0. 0.29 0.197 0.27 12.818
Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 2 2 19 3 18 18 12 20 2
normalized size 1 1. 9.5 1.5 9. 9. 6. 10. 1.
time (sec) N/A 0.006 0.003 0.001 0.735 0.28 0.166 0.27 3.885
Problem 97 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 40 34 74 57 39 53 46
normalized size 1 1. 1.05 0.89 1.95 1.5 1.03 1.39 1.21
time (sec) N/A 0.064 0.023 0.005 0.829 0.288 0.205 0.27 7.905
Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 47 47 40 70 0 57 39 53 49
normalized size 1 1. 0.85 1.49 0. 1.21 0.83 1.13 1.04
time (sec) N/A 0.079 0.031 0.016 0. 0.269 0.218 0.278 8.376
Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 40 82 0 57 39 53 53
normalized size 1 1. 0.87 1.78 0. 1.24 0.85 1.15 1.15
time (sec) N/A 0.075 0.024 0.018 0. 0.285 0.202 0.279 8.046
Problem 100 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 43 43 99 34 45 38 46 45 42
normalized size 1 1. 2.3 0.79 1.05 0.88 1.07 1.05 0.98
time (sec) N/A 0.069 0.167 0.01 0.841 0.281 0.267 0.27 8.384
Problem 101 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 43 43 99 34 45 38 46 45 44
normalized size 1 1. 2.3 0.79 1.05 0.88 1.07 1.05 1.02
time (sec) N/A 0.061 0.036 0.004 0.846 0.282 0.275 0.27 8.432
Problem 102 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 21 21 27 28 31 46 22 34 14
normalized size 1 1. 1.29 1.33 1.48 2.19 1.05 1.62 0.67
time (sec) N/A 0.016 0.017 0.013 0.754 0.283 0.194 0.268 5.502
Problem 103 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 28 28 53 26 51 78 53 59 24
normalized size 1 1. 1.89 0.93 1.82 2.79 1.89 2.11 0.86
time (sec) N/A 0.031 0.03 0.01 0.847 0.286 1.856 0.27 8.619
Problem 104 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 36 36 72 56 69 85 474 81 32
normalized size 1 1. 2. 1.56 1.92 2.36 13.17 2.25 0.89
time (sec) N/A 0.074 0.067 0.009 0.847 0.294 3.33 0.27 9.379
Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 73 104 0 196 46 55 90
normalized size 1 1. 0.99 1.41 0. 2.65 0.62 0.74 1.22
time (sec) N/A 0.132 0.159 0.03 0. 0.29 0.501 0.269 9.244
Problem 106 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 83 83 97 114 93 99 740 93 80
normalized size 1 1. 1.17 1.37 1.12 1.19 8.92 1.12 0.96
time (sec) N/A 0.125 0.209 0.007 0.861 0.295 2.957 0.271 19.396
Problem 107 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 119 119 147 168 142 261 876 147 109
normalized size 1 1. 1.24 1.41 1.19 2.19 7.36 1.24 0.92
time (sec) N/A 0.188 0.412 0.016 0.842 0.298 4.766 0.272 30.952
Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 234 234 111 710 0 7285 122 0 212
normalized size 1 1. 0.47 3.03 0. 31.13 0.52 0. 0.91
time (sec) N/A 0.477 0.195 0.103 0. 0.789 3.21 0. 33.067
Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 316 316 165 1506 0 8505 167 0 275
normalized size 1 1. 0.52 4.77 0. 26.91 0.53 0. 0.87
time (sec) N/A 0.764 0.354 0.316 0. 0.998 4.924 0. 49.467
Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F(-2) F(-2) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 160 160 53 199 0 0 0 0 240
normalized size 1 1. 0.33 1.24 0. 0. 0. 0. 1.5
time (sec) N/A 0.342 0.069 0.089 0. 0. 0. 0. 29.842
Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F A F(-2) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 172 172 53 199 0 595 0 0 240
normalized size 1 1. 0.31 1.16 0. 3.46 0. 0. 1.4
time (sec) N/A 0.34 0.055 0.083 0. 0.339 0. 0. 28.853
Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 160 160 137 285 0 0 332 1 134
normalized size 1 1. 0.86 1.78 0. 0. 2.08 0.01 0.84
time (sec) N/A 0.267 0.145 0.029 0. 0. 6.294 0.317 34.6
Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 160 160 136 283 0 0 330 1 134
normalized size 1 1. 0.85 1.77 0. 0. 2.06 0.01 0.84
time (sec) N/A 0.23 0.094 0.026 0. 0. 6.344 0.317 34.322
Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 114 114 115 92 0 926 27 0 128
normalized size 1 1. 1.01 0.81 0. 8.12 0.24 0. 1.12
time (sec) N/A 0.158 0.311 0.037 0. 0.315 1.35 0. 36.916
Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F A F(-2) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 122 122 115 96 0 350 0 0 134
normalized size 1 1. 0.94 0.79 0. 2.87 0. 0. 1.1
time (sec) N/A 0.165 0.303 0.05 0. 0.313 0. 0. 39.65
Problem 116 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 124 124 115 89 170 1 143 124 117
normalized size 1 1. 0.93 0.72 1.37 0.01 1.15 1. 0.94
time (sec) N/A 0.162 0.226 0.021 0.817 0.324 1.413 0.282 32.44
Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 136 136 130 190 0 9914 172 0 148
normalized size 1 1. 0.96 1.4 0. 72.9 1.26 0. 1.09
time (sec) N/A 0.23 0.265 0.026 0. 2.504 4.173 0. 41.742
Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F A F(-2) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 160 160 138 198 0 5455 0 0 168
normalized size 1 1. 0.86 1.24 0. 34.09 0. 0. 1.05
time (sec) N/A 0.248 0.242 0.041 0. 50.272 0. 0. 43.284
Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F(-1) F(-2) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 414 414 247 404 0 0 0 0 386
normalized size 1 1. 0.6 0.98 0. 0. 0. 0. 0.93
time (sec) N/A 0.892 0.317 0.074 0. 0. 0. 0. 106.045
Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F(-1) F(-2) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 234 234 163 320 0 0 0 0 240
normalized size 1 1. 0.7 1.37 0. 0. 0. 0. 1.03
time (sec) N/A 0.392 0.309 0.07 0. 0. 0. 0. 88.361
Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 96 96 103 200 0 0 0 0 114
normalized size 1 1. 1.07 2.08 0. 0. 0. 0. 1.19
time (sec) N/A 0.295 0.141 0.125 0. 0. 0. 0. 32.458
Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 25 25 19 113 0 0 0 0 27
normalized size 1 1. 0.76 4.52 0. 0. 0. 0. 1.08
time (sec) N/A 0.099 0.043 0.019 0. 0. 0. 0. 18.821
Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 96 96 103 204 0 0 0 0 114
normalized size 1 1. 1.07 2.12 0. 0. 0. 0. 1.19
time (sec) N/A 0.45 0.183 0.121 0. 0. 0. 0. 32.935
Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 92 92 107 204 0 0 0 0 109
normalized size 1 1. 1.16 2.22 0. 0. 0. 0. 1.18
time (sec) N/A 0.309 0.155 0.115 0. 0. 0. 0. 32.298
Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 35 95 0 0 0 0 27
normalized size 1 1. 1.3 3.52 0. 0. 0. 0. 1.
time (sec) N/A 0.132 0.055 0.013 0. 0. 0. 0. 22.694
Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 92 92 107 204 0 0 0 0 109
normalized size 1 1. 1.16 2.22 0. 0. 0. 0. 1.18
time (sec) N/A 0.451 0.197 0.117 0. 0. 0. 0. 33.633
Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 296 296 187 515 0 0 0 0 269
normalized size 1 1. 0.63 1.74 0. 0. 0. 0. 0.91
time (sec) N/A 0.27 0.367 0.062 0. 0. 0. 0. 35.838
Problem 128 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 106 106 106 97 127 1 110 127 0
normalized size 1 1. 1. 0.92 1.2 0.01 1.04 1.2 0.
time (sec) N/A 0.163 0.031 0.002 0.7 0.275 0.135 0.268 0.
Problem 129 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 79 79 79 72 96 1 78 96 0
normalized size 1 1. 1. 0.91 1.22 0.01 0.99 1.22 0.
time (sec) N/A 0.112 0.025 0.002 0.733 0.257 0.115 0.269 0.
Problem 130 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 56 56 56 49 65 1 56 68 0
normalized size 1 1. 1. 0.88 1.16 0.02 1. 1.21 0.
time (sec) N/A 0.069 0.017 0.002 0.745 0.265 0.101 0.269 0.
Problem 131 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 32 32 32 27 35 1 29 38 0
normalized size 1 1. 1. 0.84 1.09 0.03 0.91 1.19 0.
time (sec) N/A 0.033 0.003 0.001 0.727 0.261 0.075 0.269 0.
Problem 132 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 55 55 55 57 0 1 104 59 49
normalized size 1 1. 1. 1.04 0. 0.02 1.89 1.07 0.89
time (sec) N/A 0.076 0.057 0.008 0. 0.296 1.663 0.268 17.054
Problem 133 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 74 74 78 82 0 1 138 84 65
normalized size 1 1. 1.05 1.11 0. 0.01 1.86 1.14 0.88
time (sec) N/A 0.113 0.083 0.012 0. 0.291 2.291 0.27 23.838
Problem 134 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 93 93 92 99 0 1 219 104 85
normalized size 1 1. 0.99 1.06 0. 0.01 2.35 1.12 0.91
time (sec) N/A 0.143 0.099 0.012 0. 0.29 3.117 0.271 24.203
Problem 135 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 126 126 113 122 0 1 204 135 112
normalized size 1 1. 0.9 0.97 0. 0.01 1.62 1.07 0.89
time (sec) N/A 0.222 0.14 0.013 0. 0.288 4.033 0.271 28.812
Problem 136 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 133 133 133 130 174 1 144 173 0
normalized size 1 1. 1. 0.98 1.31 0.01 1.08 1.3 0.
time (sec) N/A 0.222 0.04 0.002 0.737 0.255 0.166 0.269 0.
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 97 97 97 90 120 1 104 123 0
normalized size 1 1. 1. 0.93 1.24 0.01 1.07 1.27 0.
time (sec) N/A 0.143 0.03 0.001 0.74 0.253 0.138 0.268 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 60 60 60 51 68 1 60 72 0
normalized size 1 1. 1. 0.85 1.13 0.02 1. 1.2 0.
time (sec) N/A 0.065 0.005 0.001 0.732 0.257 0.108 0.269 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 25 25 25 22 28 1 22 28 0
normalized size 1 1. 1. 0.88 1.12 0.04 0.88 1.12 0.
time (sec) N/A 0.019 0.001 0.001 0.749 0.259 0.078 0.27 0.
Problem 140 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 108 108 97 136 0 1 235 142 0
normalized size 1 1. 0.9 1.26 0. 0.01 2.18 1.31 0.
time (sec) N/A 0.148 0.127 0.005 0. 0.319 2.196 0.269 0.
Problem 141 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 131 131 134 170 0 1 314 173 146
normalized size 1 1. 1.02 1.3 0. 0.01 2.4 1.32 1.11
time (sec) N/A 0.3 0.19 0.013 0. 0.29 3.763 0.27 79.125
Problem 142 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 155 155 154 211 0 1 257 196 177
normalized size 1 1. 0.99 1.36 0. 0.01 1.66 1.26 1.14
time (sec) N/A 0.399 0.187 0.015 0. 0.286 6.493 0.274 85.923
Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 187 187 174 262 0 1 292 225 207
normalized size 1 1. 0.93 1.4 0. 0.01 1.56 1.2 1.11
time (sec) N/A 0.499 0.252 0.016 0. 0.297 10.523 0.271 82.609
Problem 144 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 226 226 200 231 0 1 335 267 255
normalized size 1 1. 0.88 1.02 0. 0. 1.48 1.18 1.13
time (sec) N/A 0.572 0.33 0.016 0. 0.282 17.519 0.276 92.556
Problem 145 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 437 437 444 741 0 3885 500 672 0
normalized size 1 1. 1.02 1.7 0. 8.89 1.14 1.54 0.
time (sec) N/A 0.876 0.729 0.014 0. 4.591 12.388 0.279 0.
Problem 146 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 370 370 360 572 0 2880 350 547 345
normalized size 1 1. 0.97 1.55 0. 7.78 0.95 1.48 0.93
time (sec) N/A 0.909 0.519 0.006 0. 1.22 7.947 0.28 88.348
Problem 147 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 297 297 269 412 0 1998 238 454 0
normalized size 1 1. 0.91 1.39 0. 6.73 0.8 1.53 0.
time (sec) N/A 0.531 0.486 0.005 0. 0.461 5.086 0.28 0.
Problem 148 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 247 247 183 260 0 1035 109 331 230
normalized size 1 1. 0.74 1.05 0. 4.19 0.44 1.34 0.93
time (sec) N/A 0.287 0.113 0.004 0. 0.285 1.91 0.279 59.68
Problem 149 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 185 185 134 128 0 142 20 242 172
normalized size 1 1. 0.72 0.69 0. 0.77 0.11 1.31 0.93
time (sec) N/A 0.194 0.034 0.003 0. 0.299 0.35 0.273 46.257
Problem 150 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 336 336 234 363 0 1 0 458 304
normalized size 1 1. 0.7 1.08 0. 0. 0. 1.36 0.9
time (sec) N/A 0.518 0.307 0.01 0. 0.916 0. 0.285 91.131
Problem 151 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 453 453 362 650 0 1 0 698 425
normalized size 1 1. 0.8 1.43 0. 0. 0. 1.54 0.94
time (sec) N/A 0.729 1.085 0.015 0. 19.115 0. 0.284 133.508
Problem 152 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 363 363 371 624 0 2857 352 574 321
normalized size 1 1. 1.02 1.72 0. 7.87 0.97 1.58 0.88
time (sec) N/A 0.733 0.488 0.014 0. 0.404 12.645 0.282 98.998
Problem 153 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 349 349 295 464 0 2155 275 497 318
normalized size 1 1. 0.85 1.33 0. 6.17 0.79 1.42 0.91
time (sec) N/A 0.584 0.291 0.012 0. 0.502 7.22 0.282 94.833
Problem 154 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 275 275 267 303 0 1179 136 369 255
normalized size 1 1. 0.97 1.1 0. 4.29 0.49 1.34 0.93
time (sec) N/A 0.389 0.606 0.007 0. 0.29 3.824 0.278 75.165
Problem 155 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 202 202 183 143 0 213 39 262 190
normalized size 1 1. 0.91 0.71 0. 1.05 0.19 1.3 0.94
time (sec) N/A 0.24 0.259 0.006 0. 0.293 1.875 0.271 57.185
Problem 156 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 689 689 429 873 0 1 0 814 636
normalized size 1 1. 0.62 1.27 0. 0. 0. 1.18 0.92
time (sec) N/A 1.146 0.535 0.021 0. 22.185 0. 0.288 174.876
Problem 157 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 864 864 540 1169 0 1 0 1 0
normalized size 1 1. 0.62 1.35 0. 0. 0. 0. 0.
time (sec) N/A 1.685 1.16 0.026 0. 174.494 0. 0.286 0.
Problem 158 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 326 326 235 388 0 0 173 0 299
normalized size 1 1. 0.72 1.19 0. 0. 0.53 0. 0.92
time (sec) N/A 0.545 0.557 0.017 0. 0. 7.89 0. 69.767
Problem 159 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 264 264 195 266 0 0 124 0 243
normalized size 1 1. 0.74 1.01 0. 0. 0.47 0. 0.92
time (sec) N/A 0.302 0.391 0.01 0. 0. 5.69 0. 40.981
Problem 160 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 226 226 131 169 0 0 78 0 204
normalized size 1 1. 0.58 0.75 0. 0. 0.35 0. 0.9
time (sec) N/A 0.175 0.111 0.006 0. 0. 3.69 0. 20.276
Problem 161 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 323 323 95 107 0 0 0 0 275
normalized size 1 1. 0.29 0.33 0. 0. 0. 0. 0.85
time (sec) N/A 0.409 0.083 0.041 0. 0. 0. 0. 21.588
Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-1) F F A
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 570 713 522 556 0 0 0 0 619
normalized size 1 1.25 0.92 0.98 0. 0. 0. 0. 1.09
time (sec) N/A 0.919 1.001 0.032 0. 0. 0. 0. 82.345
Problem 163 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 Yes TBD TBD TBD TBD TBD TBD
size 213 213 232 360 0 0 180 0 194
normalized size 1 1. 1.09 1.69 0. 0. 0.85 0. 0.91
time (sec) N/A 0.58 0.811 0.028 0. 0. 8.706 0. 81.845
Problem 164 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 162 162 192 246 0 0 129 0 150
normalized size 1 1. 1.19 1.52 0. 0. 0.8 0. 0.93
time (sec) N/A 0.339 0.439 0.01 0. 0. 6.256 0. 56.921
Problem 165 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 124 124 127 154 0 0 82 0 112
normalized size 1 1. 1.02 1.24 0. 0. 0.66 0. 0.9
time (sec) N/A 0.22 0.127 0.006 0. 0. 4.113 0. 36.283
Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 72 72 91 97 0 0 0 0 63
normalized size 1 1. 1.26 1.35 0. 0. 0. 0. 0.88
time (sec) N/A 0.121 0.087 0.028 0. 0. 0. 0. 15.386
Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F(-1) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 299 299 508 523 0 0 0 0 265
normalized size 1 1. 1.7 1.75 0. 0. 0. 0. 0.89
time (sec) N/A 0.518 1.561 0.033 0. 0. 0. 0. 69.386
Problem 168 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 126 126 128 160 0 0 73 0 112
normalized size 1 1. 1.02 1.27 0. 0. 0.58 0. 0.89
time (sec) N/A 0.214 0.131 0.011 0. 0. 4.143 0. 35.894
Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 92 99 0 0 0 0 63
normalized size 1 1. 1.26 1.36 0. 0. 0. 0. 0.86
time (sec) N/A 0.12 0.07 0.023 0. 0. 0. 0. 15.597
Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 78 158 0 0 70 0 48
normalized size 1 1. 1.44 2.93 0. 0. 1.3 0. 0.89
time (sec) N/A 0.136 0.098 0.067 0. 0. 4.29 0. 25.598
Problem 171 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 Yes TBD TBD TBD TBD TBD TBD
size 52 52 142 165 0 0 76 0 41
normalized size 1 1. 2.73 3.17 0. 0. 1.46 0. 0.79
time (sec) N/A 0.134 0.149 0.042 0. 0. 4.397 0. 18.476
Problem 172 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 236 236 134 175 0 0 83 0 209
normalized size 1 1. 0.57 0.74 0. 0. 0.35 0. 0.89
time (sec) N/A 0.176 0.129 0.014 0. 0. 4.015 0. 21.548
Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 336 336 98 110 0 0 0 0 284
normalized size 1 1. 0.29 0.33 0. 0. 0. 0. 0.85
time (sec) N/A 0.398 0.087 0.022 0. 0. 0. 0. 22.485
Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 43 79 0 0 0 0 42
normalized size 1 1. 1.08 1.98 0. 0. 0. 0. 1.05
time (sec) N/A 0.175 0.063 0.072 0. 0. 0. 0. 23.705
Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 284 284 50 86 0 0 0 0 253
normalized size 1 1. 0.18 0.3 0. 0. 0. 0. 0.89
time (sec) N/A 0.348 0.063 0.141 0. 0. 0. 0. 13.349
Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 59 78 0 0 0 0 41
normalized size 1 1. 1.48 1.95 0. 0. 0. 0. 1.02
time (sec) N/A 0.06 0.068 0.033 0. 0. 0. 0. 8.25
Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 287 287 65 86 0 0 0 0 253
normalized size 1 1. 0.23 0.3 0. 0. 0. 0. 0.88
time (sec) N/A 0.29 0.063 0.033 0. 0. 0. 0. 18.695
Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A F A F F F F F F
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 112 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.033 0.064 0.118 0. 0. 0. 0. 0.
Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.023 0.081 0.117 0. 0. 0. 0. 0.
Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 204 196 136 0 0 0 0 0 168
normalized size 1 0.96 0.67 0. 0. 0. 0. 0. 0.82
time (sec) N/A 0.406 0.093 0.073 0. 0. 0. 0. 33.991
Problem 181 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 150 142 106 0 0 0 0 0 124
normalized size 1 0.95 0.71 0. 0. 0. 0. 0. 0.83
time (sec) N/A 0.27 0.055 0.062 0. 0. 0. 0. 25.496
Problem 182 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 96 96 75 0 0 0 0 0 76
normalized size 1 1. 0.78 0. 0. 0. 0. 0. 0.79
time (sec) N/A 0.112 0.03 0.044 0. 0. 0. 0. 14.842
Problem 183 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 44 44 44 0 0 0 34 0 34
normalized size 1 1. 1. 0. 0. 0. 0.77 0. 0.77
time (sec) N/A 0.023 0.01 0.034 0. 0. 38.595 0. 3.987
Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 123 123 0 0 0 0 0 0 97
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.79
time (sec) N/A 0.281 0.045 0.066 0. 0. 0. 0. 57.12
Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 189 189 0 0 0 0 0 0 155
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.82
time (sec) N/A 0.462 0.063 0.081 0. 0. 0. 0. 110.37
Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 108 103 86 75 0 0 0 0 70
normalized size 1 0.95 0.8 0.69 0. 0. 0. 0. 0.65
time (sec) N/A 0.205 0.033 0.424 0. 0. 0. 0. 14.286
Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 79 65 56 0 0 0 0 53
normalized size 1 0.92 0.76 0.65 0. 0. 0. 0. 0.62
time (sec) N/A 0.148 0.021 0.069 0. 0. 0. 0. 12.351
Problem 188 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 Yes TBD TBD TBD TBD TBD TBD
size 42 42 42 37 0 0 61 0 32
normalized size 1 1. 1. 0.88 0. 0. 1.45 0. 0.76
time (sec) N/A 0.048 0.016 0.042 0. 0. 155.555 0. 6.668
Problem 189 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 Yes TBD TBD TBD TBD TBD TBD
size 18 18 18 17 0 0 29 0 14
normalized size 1 1. 1. 0.94 0. 0. 1.61 0. 0.78
time (sec) N/A 0.01 0.007 0.03 0. 0. 32.457 0. 1.277
Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 50 50 0 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.121 0.043 0.064 0. 0. 0. 0. 0.
Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 77 77 0 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.198 0.048 0.081 0. 0. 0. 0. 0.
Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 101 101 0 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.27 0.085 0.107 0. 0. 0. 0. 0.
Problem 193 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 51 51 51 42 0 1 75 194 49
normalized size 1 1. 1. 0.82 0. 0.02 1.47 3.8 0.96
time (sec) N/A 0.072 0.038 0.005 0. 0.298 1.739 0.281 16.606
Problem 194 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 38 38 38 31 0 1 58 166 36
normalized size 1 1. 1. 0.82 0. 0.03 1.53 4.37 0.95
time (sec) N/A 0.061 0.027 0.003 0. 0.272 1.517 0.28 15.406
Problem 195 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 29 29 29 22 0 1 34 159 26
normalized size 1 1. 1. 0.76 0. 0.03 1.17 5.48 0.9
time (sec) N/A 0.041 0.014 0.003 0. 0.278 1.315 0.281 11.722
Problem 196 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 24 24 24 16 0 1 46 157 22
normalized size 1 1. 1. 0.67 0. 0.04 1.92 6.54 0.92
time (sec) N/A 0.023 0.007 0.002 0. 0.271 0.336 0.279 5.608
Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 72 72 65 55 0 1 226 0 63
normalized size 1 1. 0.9 0.76 0. 0.01 3.14 0. 0.88
time (sec) N/A 0.141 0.059 0.014 0. 0.29 2.371 0. 35.094
Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 76 73 0 1 255 0 82
normalized size 1 1. 0.85 0.82 0. 0.01 2.87 0. 0.92
time (sec) N/A 0.212 0.1 0.015 0. 0.295 3.239 0. 58.147
Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 62 62 61 1442 0 1 0 0 56
normalized size 1 1. 0.98 23.26 0. 0.02 0. 0. 0.9
time (sec) N/A 0.121 0.042 0.066 0. 0.307 0. 0. 21.582
Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 38 38 38 986 0 1 0 177 36
normalized size 1 1. 1. 25.95 0. 0.03 0. 4.66 0.95
time (sec) N/A 0.076 0.025 0.034 0. 0.296 0. 0.327 14.474
Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 61 61 57 441 0 1 0 0 54
normalized size 1 1. 0.93 7.23 0. 0.02 0. 0. 0.89
time (sec) N/A 0.114 0.052 0.03 0. 0.293 0. 0. 21.391
Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 80 80 68 911 0 1 0 0 73
normalized size 1 1. 0.85 11.39 0. 0.01 0. 0. 0.91
time (sec) N/A 0.207 0.155 0.033 0. 0.328 0. 0. 42.707
Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 153 153 98 132 0 1 0 0 121
normalized size 1 1. 0.64 0.86 0. 0.01 0. 0. 0.79
time (sec) N/A 0.158 0.228 0.079 0. 0.306 0. 0. 28.015
Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 110 110 86 109 0 1 0 0 88
normalized size 1 1. 0.78 0.99 0. 0.01 0. 0. 0.8
time (sec) N/A 0.102 0.074 0.026 0. 0.302 0. 0. 15.963
Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 65 65 50 69 0 1 0 0 56
normalized size 1 1. 0.77 1.06 0. 0.02 0. 0. 0.86
time (sec) N/A 0.065 0.037 0.025 0. 0.279 0. 0. 9.677
Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 78 248 0 1 0 0 70
normalized size 1 1. 1. 3.18 0. 0.01 0. 0. 0.9
time (sec) N/A 0.103 0.05 0.058 0. 0.281 0. 0. 15.485
Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 125 125 111 504 0 1 0 0 104
normalized size 1 1. 0.89 4.03 0. 0.01 0. 0. 0.83
time (sec) N/A 0.147 0.095 0.089 0. 0.29 0. 0. 22.453
Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 168 168 123 729 0 1 0 0 136
normalized size 1 1. 0.73 4.34 0. 0.01 0. 0. 0.81
time (sec) N/A 0.247 0.124 0.072 0. 0.279 0. 0. 43.888
Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 152 152 123 105 0 1 0 0 121
normalized size 1 1. 0.81 0.69 0. 0.01 0. 0. 0.8
time (sec) N/A 0.151 0.298 0.022 0. 0.283 0. 0. 28.73
Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 109 109 110 85 0 1 0 0 88
normalized size 1 1. 1.01 0.78 0. 0.01 0. 0. 0.81
time (sec) N/A 0.102 0.153 0.017 0. 0.287 0. 0. 17.362
Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 64 64 67 54 0 1 0 0 56
normalized size 1 1. 1.05 0.84 0. 0.02 0. 0. 0.88
time (sec) N/A 0.069 0.028 0.015 0. 0.277 0. 0. 12.73
Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 77 266 0 1 0 0 70
normalized size 1 1. 1. 3.45 0. 0.01 0. 0. 0.91
time (sec) N/A 0.101 0.047 0.074 0. 0.28 0. 0. 21.525
Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 124 124 110 526 0 1 0 0 104
normalized size 1 1. 0.89 4.24 0. 0.01 0. 0. 0.84
time (sec) N/A 0.149 0.093 0.062 0. 0.282 0. 0. 29.13
Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 167 167 122 757 0 1 0 0 136
normalized size 1 1. 0.73 4.53 0. 0.01 0. 0. 0.81
time (sec) N/A 0.248 0.124 0.067 0. 0.285 0. 0. 52.73
Problem 215 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 30 30 38 25 3 99 0 0 27
normalized size 1 1. 1.27 0.83 0.1 3.3 0. 0. 0.9
time (sec) N/A 0.029 0.014 0.014 0.85 0.289 0. 0. 5.606
Problem 216 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 40 34 33 19 88 0 0 36
normalized size 1 1.67 1.42 1.38 0.79 3.67 0. 0. 1.5
time (sec) N/A 0.033 0.013 0.011 0.876 0.271 0. 0. 4.926
Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 72 71 59 26 185 0 0 0
normalized size 1 0.99 0.97 0.81 0.36 2.53 0. 0. 0.
time (sec) N/A 0.204 0.021 0.003 0.881 0.287 0. 0. 0.
Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 121 121 121 226 0 1 343 0 0
normalized size 1 1. 1. 1.87 0. 0.01 2.83 0. 0.
time (sec) N/A 0.276 0.123 0.014 0. 0.281 3.153 0. 0.
Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 86 84 142 0 1 275 0 0
normalized size 1 1. 0.98 1.65 0. 0.01 3.2 0. 0.
time (sec) N/A 0.183 0.073 0.004 0. 0.288 2.572 0. 0.
Problem 220 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 64 64 63 79 0 1 212 0 54
normalized size 1 1. 0.98 1.23 0. 0.02 3.31 0. 0.84
time (sec) N/A 0.122 0.093 0.003 0. 0.277 1.952 0. 27.18
Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 48 33 0 1 124 0 42
normalized size 1 1. 0.98 0.67 0. 0.02 2.53 0. 0.86
time (sec) N/A 0.052 0.02 0.001 0. 0.268 0.565 0. 15.381
Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 136 136 133 155 0 1 2664 0 117
normalized size 1 1. 0.98 1.14 0. 0.01 19.59 0. 0.86
time (sec) N/A 0.4 0.388 0.024 0. 0.42 60.368 0. 87.44
Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 187 187 177 319 0 1 0 0 170
normalized size 1 1. 0.95 1.71 0. 0.01 0. 0. 0.91
time (sec) N/A 0.61 0.778 0.017 0. 1.322 0. 0. 135.329
Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 139 139 134 7043 0 1 0 0 124
normalized size 1 1. 0.96 50.67 0. 0.01 0. 0. 0.89
time (sec) N/A 0.552 0.393 0.069 0. 0.783 0. 0. 102.221
Problem 225 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 108 108 103 4332 0 1 0 0 94
normalized size 1 1. 0.95 40.11 0. 0.01 0. 0. 0.87
time (sec) N/A 0.258 0.093 0.031 0. 0.385 0. 0. 66.529
Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 76 76 73 2264 0 1 0 0 66
normalized size 1 1. 0.96 29.79 0. 0.01 0. 0. 0.87
time (sec) N/A 0.159 0.062 0.031 0. 0.367 0. 0. 50.859
Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 106 106 106 775 0 1 0 0 90
normalized size 1 1. 1. 7.31 0. 0.01 0. 0. 0.85
time (sec) N/A 0.273 0.254 0.029 0. 0.431 0. 0. 63.211
Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 149 149 134 1647 0 1 0 0 131
normalized size 1 1. 0.9 11.05 0. 0.01 0. 0. 0.88
time (sec) N/A 0.604 0.553 0.032 0. 0.704 0. 0. 118.803
Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 183 183 169 263 0 0 0 0 172
normalized size 1 1. 0.92 1.44 0. 0. 0. 0. 0.94
time (sec) N/A 0.18 0.373 0.226 0. 0. 0. 0. 37.518
Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 164 164 162 248 0 0 0 0 156
normalized size 1 1. 0.99 1.51 0. 0. 0. 0. 0.95
time (sec) N/A 0.14 0.233 0.011 0. 0. 0. 0. 28.837
Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 145 145 168 233 0 0 0 0 138
normalized size 1 1. 1.16 1.61 0. 0. 0. 0. 0.95
time (sec) N/A 0.104 0.327 0.008 0. 0. 0. 0. 18.432
Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 137 118 293 0 0 0 0 320
normalized size 1 1. 0.86 2.14 0. 0. 0. 0. 2.34
time (sec) N/A 0.181 0.101 0.091 0. 0. 0. 0. 91.864
Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 164 224 0 0 0 0 541
normalized size 1 1. 3.35 4.57 0. 0. 0. 0. 11.04
time (sec) N/A 0.035 0.536 0.025 0. 0. 0. 0. 140.011
Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 93 93 176 333 0 0 0 0 0
normalized size 1 1. 1.89 3.58 0. 0. 0. 0. 0.
time (sec) N/A 0.748 0.349 0.033 0. 0. 0. 0. 0.
Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 166 166 240 438 0 0 0 0 0
normalized size 1 1. 1.45 2.64 0. 0. 0. 0. 0.
time (sec) N/A 0.934 0.472 0.034 0. 0. 0. 0. 0.
Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 159 159 157 233 0 0 0 0 150
normalized size 1 1. 0.99 1.47 0. 0. 0. 0. 0.94
time (sec) N/A 0.148 0.219 0.037 0. 0. 0. 0. 30.579
Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 137 143 218 0 0 0 0 128
normalized size 1 1. 1.04 1.59 0. 0. 0. 0. 0.93
time (sec) N/A 0.11 0.194 0.01 0. 0. 0. 0. 20.989
Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 94 205 0 0 0 0 105
normalized size 1 1. 0.82 1.78 0. 0. 0. 0. 0.91
time (sec) N/A 0.065 0.09 0.007 0. 0. 0. 0. 11.774
Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 69 69 73 104 0 0 0 0 236
normalized size 1 1. 1.06 1.51 0. 0. 0. 0. 3.42
time (sec) N/A 0.11 0.038 0.022 0. 0. 0. 0. 66.113
Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 118 118 226 397 0 0 0 0 328
normalized size 1 1. 1.92 3.36 0. 0. 0. 0. 2.78
time (sec) N/A 0.198 0.743 0.03 0. 0. 0. 0. 80.059
Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 142 142 235 418 0 0 0 0 0
normalized size 1 1. 1.65 2.94 0. 0. 0. 0. 0.
time (sec) N/A 0.433 0.413 0.031 0. 0. 0. 0. 0.
Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 144 144 136 268 0 0 0 0 133
normalized size 1 1. 0.94 1.86 0. 0. 0. 0. 0.92
time (sec) N/A 0.114 0.273 0.044 0. 0. 0. 0. 22.227
Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 98 98 158 268 0 0 0 0 90
normalized size 1 1. 1.61 2.73 0. 0. 0. 0. 0.92
time (sec) N/A 0.073 0.294 0.011 0. 0. 0. 0. 16.245
Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 96 96 160 247 0 0 0 0 85
normalized size 1 1. 1.67 2.57 0. 0. 0. 0. 0.89
time (sec) N/A 0.059 0.301 0.01 0. 0. 0. 0. 11.466
Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 166 166 204 398 0 0 0 0 348
normalized size 1 1. 1.23 2.4 0. 0. 0. 0. 2.1
time (sec) N/A 0.223 0.292 0.026 0. 0. 0. 0. 130.828
Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 111 111 168 419 0 0 0 0 0
normalized size 1 1. 1.51 3.77 0. 0. 0. 0. 0.
time (sec) N/A 0.435 0.575 0.034 0. 0. 0. 0. 0.
Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 190 190 192 439 0 0 0 0 0
normalized size 1 1. 1.01 2.31 0. 0. 0. 0. 0.
time (sec) N/A 0.912 0.38 0.035 0. 0. 0. 0. 0.
Problem 248 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 135 135 135 136 182 1 156 192 0
normalized size 1 1. 1. 1.01 1.35 0.01 1.16 1.42 0.
time (sec) N/A 0.255 0.071 0.002 0.739 0.249 0.154 0.267 0.
Problem 249 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 103 103 104 103 138 1 112 146 0
normalized size 1 1. 1.01 1. 1.34 0.01 1.09 1.42 0.
time (sec) N/A 0.197 0.049 0.001 0.762 0.244 0.142 0.266 0.
Problem 250 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 73 73 73 70 93 1 78 103 0
normalized size 1 1. 1. 0.96 1.27 0.01 1.07 1.41 0.
time (sec) N/A 0.129 0.036 0.002 0.744 0.257 0.154 0.269 0.
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 42 42 42 37 49 1 39 58 0
normalized size 1 1. 1. 0.88 1.17 0.02 0.93 1.38 0.
time (sec) N/A 0.057 0.014 0.001 0.737 0.273 0.117 0.266 0.
Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 66 66 65 84 0 1 117 76 58
normalized size 1 1. 0.98 1.27 0. 0.02 1.77 1.15 0.88
time (sec) N/A 0.096 0.105 0.003 0. 0.286 2.165 0.268 19.989
Problem 253 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 83 83 88 118 0 1 153 101 78
normalized size 1 1. 1.06 1.42 0. 0.01 1.84 1.22 0.94
time (sec) N/A 0.158 0.098 0.011 0. 0.274 3.763 0.271 33.067
Problem 254 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 115 115 110 131 0 1 196 136 110
normalized size 1 1. 0.96 1.14 0. 0.01 1.7 1.18 0.96
time (sec) N/A 0.205 0.183 0.012 0. 0.277 6.592 0.273 34.014
Problem 255 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 150 150 142 158 0 1 241 181 144
normalized size 1 1. 0.95 1.05 0. 0.01 1.61 1.21 0.96
time (sec) N/A 0.308 0.25 0.013 0. 0.281 11.494 0.27 38.86
Problem 256 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 223 223 223 219 294 1 272 344 0
normalized size 1 1. 1. 0.98 1.32 0. 1.22 1.54 0.
time (sec) N/A 0.424 0.177 0.002 0.715 0.245 0.238 0.269 0.
Problem 257 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 155 155 156 155 198 1 192 244 0
normalized size 1 1. 1.01 1. 1.28 0.01 1.24 1.57 0.
time (sec) N/A 0.281 0.1 0.001 0.737 0.242 0.191 0.267 0.
Problem 258 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 96 91 122 1 107 143 0
normalized size 1 1. 1. 0.95 1.27 0.01 1.11 1.49 0.
time (sec) N/A 0.137 0.043 0.001 0.743 0.238 0.152 0.269 0.
Problem 259 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 49 49 49 42 61 1 48 58 0
normalized size 1 1. 1. 0.86 1.24 0.02 0.98 1.18 0.
time (sec) N/A 0.048 0.009 0.001 0.73 0.238 0.123 0.269 0.
Problem 260 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 143 143 144 267 0 1 366 250 0
normalized size 1 1. 1.01 1.87 0. 0.01 2.56 1.75 0.
time (sec) N/A 0.297 0.126 0.005 0. 0.275 4.837 0.267 0.
Problem 261 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 166 166 183 320 0 1 479 279 212
normalized size 1 1. 1.1 1.93 0. 0.01 2.89 1.68 1.28
time (sec) N/A 0.535 0.186 0.015 0. 0.285 12.483 0.265 155.121
Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 201 201 217 402 0 1 396 329 279
normalized size 1 1. 1.08 2. 0. 0. 1.97 1.64 1.39
time (sec) N/A 0.827 0.213 0.016 0. 0.296 53.154 0.268 170.48
Problem 263 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 250 250 267 506 0 1 0 400 332
normalized size 1 1. 1.07 2.02 0. 0. 0. 1.6 1.33
time (sec) N/A 0.951 0.281 0.018 0. 0.299 0. 0.266 162.457
Problem 264 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 317 317 345 412 0 1 0 491 415
normalized size 1 1. 1.09 1.3 0. 0. 0. 1.55 1.31
time (sec) N/A 1.239 0.441 0.016 0. 0.281 0. 0.268 173.066
Problem 265 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 83 83 88 118 0 1 153 101 78
normalized size 1 1. 1.06 1.42 0. 0.01 1.84 1.22 0.94
time (sec) N/A 0.154 0.102 0. 0. 0.276 3.695 0.266 31.155
Problem 266 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 83 83 88 118 0 1 153 101 78
normalized size 1 1. 1.06 1.42 0. 0.01 1.84 1.22 0.94
time (sec) N/A 0.121 0.029 0.007 0. 0.266 3.715 0.264 35.492
Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F F(-1) F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 459 459 570 1888 0 0 0 1 0
normalized size 1 1. 1.24 4.11 0. 0. 0. 0. 0.
time (sec) N/A 4.615 1.671 0.061 0. 0. 0. 2.237 0.
Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 316 316 402 1211 0 12938 0 1 0
normalized size 1 1. 1.27 3.83 0. 40.94 0. 0. 0.
time (sec) N/A 2.274 1.188 0.046 0. 20.587 0. 1.742 0.
Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 238 238 269 695 0 6332 920 1 0
normalized size 1 1. 1.13 2.92 0. 26.61 3.87 0. 0.
time (sec) N/A 1.238 0.632 0.034 0. 1.923 123.774 1.244 0.
Problem 270 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 174 174 172 328 0 2059 314 1 185
normalized size 1 1. 0.99 1.89 0. 11.83 1.8 0.01 1.06
time (sec) N/A 0.425 0.269 0.024 0. 0.311 16.168 0.809 32.053
Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 150 150 129 116 0 828 87 1 138
normalized size 1 1. 0.86 0.77 0. 5.52 0.58 0.01 0.92
time (sec) N/A 0.209 0.161 0.002 0. 0.266 3.037 0.369 19.613
Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) F(-1) F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 254 254 274 480 0 0 0 0 255
normalized size 1 1. 1.08 1.89 0. 0. 0. 0. 1.
time (sec) N/A 1.192 0.517 0.027 0. 0. 0. 0. 93.174
Problem 273 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 429 429 354 1141 0 0 0 1 0
normalized size 1 1. 0.83 2.66 0. 0. 0. 0. 0.
time (sec) N/A 2.813 1.658 0.037 0. 0. 0. 17.026 0.
Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F(-1) F(-2) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 563 563 540 8504 0 16358 0 0 0
normalized size 1 1. 0.96 15.1 0. 29.06 0. 0. 0.
time (sec) N/A 7.333 3.571 0.204 0. 44.489 0. 0. 0.
Problem 275 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 386 386 415 5421 0 9906 0 0 415
normalized size 1 1. 1.08 14.04 0. 25.66 0. 0. 1.08
time (sec) N/A 4.469 2.547 0.18 0. 5.846 0. 0. 151.364
Problem 276 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 293 293 310 1761 0 6174 1180 0 279
normalized size 1 1. 1.06 6.01 0. 21.07 4.03 0. 0.95
time (sec) N/A 1.444 1.508 0.1 0. 0.995 143.205 0. 168.52
Problem 277 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 252 252 243 733 0 3117 394 0 230
normalized size 1 1. 0.96 2.91 0. 12.37 1.56 0. 0.91
time (sec) N/A 0.897 0.818 0.003 0. 0.321 15.299 0. 61.76
Problem 278 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) F(-1) F(-1) F(-2) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 660 660 708 10749 0 0 0 0 0
normalized size 1 1. 1.07 16.29 0. 0. 0. 0. 0.
time (sec) N/A 6.516 6.283 0.153 0. 0. 0. 0. 0.
Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) F(-1) F(-1) F(-2) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 1087 1088 1235 14860 0 0 0 0 0
normalized size 1 1. 1.14 13.67 0. 0. 0. 0. 0.
time (sec) N/A 24.445 8.01 0.193 0. 0. 0. 0. 0.
Problem 280 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 215 215 177 283 0 1 505 243 211
normalized size 1 1. 0.82 1.32 0. 0. 2.35 1.13 0.98
time (sec) N/A 0.303 0.383 0.014 0. 0.494 166.516 0.287 27.214
Problem 281 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 175 175 146 229 0 1 413 196 170
normalized size 1 1. 0.83 1.31 0. 0.01 2.36 1.12 0.97
time (sec) N/A 0.245 0.197 0.014 0. 0.365 85.921 0.269 23.384
Problem 282 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 132 132 112 175 0 1 272 143 124
normalized size 1 1. 0.85 1.33 0. 0.01 2.06 1.08 0.94
time (sec) N/A 0.211 0.127 0.012 0. 0.328 33.455 0.266 19.855
Problem 283 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 97 97 85 122 0 1 230 107 90
normalized size 1 1. 0.88 1.26 0. 0.01 2.37 1.1 0.93
time (sec) N/A 0.132 0.093 0.011 0. 0.295 19.5 0.269 16.893
Problem 284 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 89 89 87 112 0 1 134 108 85
normalized size 1 1. 0.98 1.26 0. 0.01 1.51 1.21 0.96
time (sec) N/A 0.152 0.153 0.011 0. 0.299 22.174 0.27 19.591
Problem 285 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 101 101 91 124 0 1 450 119 97
normalized size 1 1. 0.9 1.23 0. 0.01 4.46 1.18 0.96
time (sec) N/A 0.149 0.244 0.011 0. 0.306 55.07 0.272 28.782
Problem 286 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 86 67 66 234 126 639 101 119
normalized size 1 1. 0.78 0.77 2.72 1.47 7.43 1.17 1.38
time (sec) N/A 0.193 0.085 0.006 0.764 0.308 160.57 0.271 28.717
Problem 287 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 126 126 101 100 306 184 0 153 155
normalized size 1 1. 0.8 0.79 2.43 1.46 0. 1.21 1.23
time (sec) N/A 0.268 0.11 0.007 0.757 0.403 0. 0.27 31.585
Problem 288 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 165 164 132 136 379 239 0 200 192
normalized size 1 0.99 0.8 0.82 2.3 1.45 0. 1.21 1.16
time (sec) N/A 0.39 0.149 0.008 0.747 0.556 0. 0.271 35.196
Problem 289 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 210 210 167 172 452 302 0 255 240
normalized size 1 1. 0.8 0.82 2.15 1.44 0. 1.21 1.14
time (sec) N/A 0.438 0.157 0.009 0.739 0.845 0. 0.271 39.315
Problem 290 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 193 193 119 172 0 0 0 0 182
normalized size 1 1. 0.62 0.89 0. 0. 0. 0. 0.94
time (sec) N/A 0.208 0.094 0.029 0. 0. 0. 0. 36.092
Problem 291 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 168 168 114 155 0 0 0 0 162
normalized size 1 1. 0.68 0.92 0. 0. 0. 0. 0.96
time (sec) N/A 0.162 0.076 0.011 0. 0. 0. 0. 26.832
Problem 292 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 149 149 109 137 0 0 0 0 139
normalized size 1 1. 0.73 0.92 0. 0. 0. 0. 0.93
time (sec) N/A 0.115 0.067 0.009 0. 0. 0. 0. 17.932
Problem 293 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 141 141 102 121 0 0 0 0 128
normalized size 1 1. 0.72 0.86 0. 0. 0. 0. 0.91
time (sec) N/A 0.099 0.06 0.005 0. 0. 0. 0. 15.321
Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 178 232 90 138 0 0 0 0 0
normalized size 1 1.3 0.51 0.78 0. 0. 0. 0. 0.
time (sec) N/A 0.332 0.088 0.036 0. 0. 0. 0. 0.
Problem 295 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 209 209 208 162 0 0 0 0 173
normalized size 1 1. 1. 0.78 0. 0. 0. 0. 0.83
time (sec) N/A 0.336 0.21 0.027 0. 0. 0. 0. 52.747
Problem 296 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 237 237 174 186 0 0 0 0 0
normalized size 1 1. 0.73 0.78 0. 0. 0. 0. 0.
time (sec) N/A 1.158 0.3 0.029 0. 0. 0. 0. 0.
Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 219 219 129 206 0 0 0 0 209
normalized size 1 1. 0.59 0.94 0. 0. 0. 0. 0.95
time (sec) N/A 0.242 0.087 0.026 0. 0. 0. 0. 42.27
Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 198 198 124 189 0 0 0 0 189
normalized size 1 1. 0.63 0.95 0. 0. 0. 0. 0.95
time (sec) N/A 0.196 0.083 0.011 0. 0. 0. 0. 33.077
Problem 299 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 179 179 119 172 0 0 0 0 163
normalized size 1 1. 0.66 0.96 0. 0. 0. 0. 0.91
time (sec) N/A 0.151 0.075 0.008 0. 0. 0. 0. 23.305
Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 172 172 114 155 0 0 0 0 156
normalized size 1 1. 0.66 0.9 0. 0. 0. 0. 0.91
time (sec) N/A 0.135 0.067 0.005 0. 0. 0. 0. 21.119
Problem 301 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 207 207 148 170 0 0 0 0 214
normalized size 1 1. 0.71 0.82 0. 0. 0. 0. 1.03
time (sec) N/A 0.489 0.133 0.021 0. 0. 0. 0. 63.717
Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 222 333 213 177 0 0 0 0 258
normalized size 1 1.5 0.96 0.8 0. 0. 0. 0. 1.16
time (sec) N/A 0.868 0.214 0.028 0. 0. 0. 0. 131.853
Problem 303 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 231 288 174 186 0 0 0 0 0
normalized size 1 1.25 0.75 0.81 0. 0. 0. 0. 0.
time (sec) N/A 1.267 0.32 0.029 0. 0. 0. 0. 0.
Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 157 157 106 138 0 0 0 0 151
normalized size 1 1. 0.68 0.88 0. 0. 0. 0. 0.96
time (sec) N/A 0.17 0.105 0.025 0. 0. 0. 0. 31.075
Problem 305 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 142 142 104 121 0 0 0 0 131
normalized size 1 1. 0.73 0.85 0. 0. 0. 0. 0.92
time (sec) N/A 0.129 0.091 0.01 0. 0. 0. 0. 21.396
Problem 306 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 121 121 69 106 0 0 0 0 116
normalized size 1 1. 0.57 0.88 0. 0. 0. 0. 0.96
time (sec) N/A 0.08 0.06 0.007 0. 0. 0. 0. 12.291
Problem 307 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 48 48 50 46 0 0 0 0 42
normalized size 1 1. 1.04 0.96 0. 0. 0. 0. 0.88
time (sec) N/A 0.017 0.025 0.004 0. 0. 0. 0. 2.695
Problem 308 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 106 106 55 47 0 0 0 0 0
normalized size 1 1. 0.52 0.44 0. 0. 0. 0. 0.
time (sec) N/A 0.211 0.037 0.018 0. 0. 0. 0. 0.
Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 209 209 208 162 0 0 0 0 0
normalized size 1 1. 1. 0.78 0. 0. 0. 0. 0.
time (sec) N/A 0.334 0.218 0.026 0. 0. 0. 0. 0.
Problem 310 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 237 237 186 186 0 0 0 0 0
normalized size 1 1. 0.78 0.78 0. 0. 0. 0. 0.
time (sec) N/A 0.527 0.317 0.028 0. 0. 0. 0. 0.
Problem 311 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 189 189 109 274 0 0 0 0 177
normalized size 1 1. 0.58 1.45 0. 0. 0. 0. 0.94
time (sec) N/A 0.216 0.098 0.048 0. 0. 0. 0. 23.565
Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 170 170 104 234 0 0 0 0 158
normalized size 1 1. 0.61 1.38 0. 0. 0. 0. 0.93
time (sec) N/A 0.174 0.088 0.014 0. 0. 0. 0. 16.669
Problem 313 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 149 149 99 196 0 0 0 0 139
normalized size 1 1. 0.66 1.32 0. 0. 0. 0. 0.93
time (sec) N/A 0.132 0.105 0.011 0. 0. 0. 0. 11.242
Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 149 149 99 173 0 0 0 0 139
normalized size 1 1. 0.66 1.16 0. 0. 0. 0. 0.93
time (sec) N/A 0.13 0.081 0.01 0. 0. 0. 0. 11.23
Problem 315 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 145 145 97 150 0 0 0 0 133
normalized size 1 1. 0.67 1.03 0. 0. 0. 0. 0.92
time (sec) N/A 0.107 0.071 0.008 0. 0. 0. 0. 10.256
Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 149 149 99 129 0 0 0 0 138
normalized size 1 1. 0.66 0.87 0. 0. 0. 0. 0.93
time (sec) N/A 0.101 0.061 0.006 0. 0. 0. 0. 15.647
Problem 317 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 173 207 138 161 0 0 0 0 0
normalized size 1 1.2 0.8 0.93 0. 0. 0. 0. 0.
time (sec) N/A 0.367 0.131 0.022 0. 0. 0. 0. 0.
Problem 318 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 235 235 208 185 0 0 0 0 330
normalized size 1 1. 0.89 0.79 0. 0. 0. 0. 1.4
time (sec) N/A 0.806 0.225 0.03 0. 0. 0. 0. 129.892
Problem 319 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 263 263 159 209 0 0 0 0 0
normalized size 1 1. 0.6 0.79 0. 0. 0. 0. 0.
time (sec) N/A 1.459 0.553 0.031 0. 0. 0. 0. 0.
Problem 320 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 116 116 112 193 0 0 0 0 112
normalized size 1 1. 0.97 1.66 0. 0. 0. 0. 0.97
time (sec) N/A 0.263 0.125 0.035 0. 0. 0. 0. 54.171
Problem 321 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 107 176 0 0 0 0 94
normalized size 1 1. 1.13 1.85 0. 0. 0. 0. 0.99
time (sec) N/A 0.224 0.104 0.011 0. 0. 0. 0. 42.098
Problem 322 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 102 159 0 0 0 0 75
normalized size 1 1. 1.38 2.15 0. 0. 0. 0. 1.01
time (sec) N/A 0.19 0.101 0.011 0. 0. 0. 0. 33.03
Problem 323 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 94 141 0 0 0 0 51
normalized size 1 1. 2.04 3.07 0. 0. 0. 0. 1.11
time (sec) N/A 0.153 0.103 0.008 0. 0. 0. 0. 24.257
Problem 324 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 90 125 0 0 0 0 42
normalized size 1 1. 2.05 2.84 0. 0. 0. 0. 0.95
time (sec) N/A 0.131 0.086 0.004 0. 0. 0. 0. 19.953
Problem 325 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 51 141 0 0 0 0 51
normalized size 1 1. 1.11 3.07 0. 0. 0. 0. 1.11
time (sec) N/A 0.265 0.085 0.02 0. 0. 0. 0. 39.126
Problem 326 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 196 165 0 0 0 0 178
normalized size 1 1. 2.65 2.23 0. 0. 0. 0. 2.41
time (sec) N/A 0.268 0.267 0.027 0. 0. 0. 0. 37.347
Problem 327 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 102 102 244 189 0 0 0 0 0
normalized size 1 1. 2.39 1.85 0. 0. 0. 0. 0.
time (sec) N/A 0.891 0.468 0.029 0. 0. 0. 0. 0.
Problem 328 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 142 142 122 227 0 0 0 0 138
normalized size 1 1. 0.86 1.6 0. 0. 0. 0. 0.97
time (sec) N/A 0.289 0.118 0.032 0. 0. 0. 0. 60.592
Problem 329 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 121 121 117 210 0 0 0 0 119
normalized size 1 1. 0.97 1.74 0. 0. 0. 0. 0.98
time (sec) N/A 0.253 0.114 0.011 0. 0. 0. 0. 48.281
Problem 330 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 100 100 112 193 0 0 0 0 99
normalized size 1 1. 1.12 1.93 0. 0. 0. 0. 0.99
time (sec) N/A 0.22 0.112 0.011 0. 0. 0. 0. 38.98
Problem 331 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 81 81 107 176 0 0 0 0 76
normalized size 1 1. 1.32 2.17 0. 0. 0. 0. 0.94
time (sec) N/A 0.178 0.101 0.008 0. 0. 0. 0. 29.261
Problem 332 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 102 159 0 0 0 0 70
normalized size 1 1. 1.38 2.15 0. 0. 0. 0. 0.95
time (sec) N/A 0.161 0.089 0.005 0. 0. 0. 0. 25.794
Problem 333 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 72 72 130 173 0 0 0 0 172
normalized size 1 1. 1.81 2.4 0. 0. 0. 0. 2.39
time (sec) N/A 0.441 0.178 0.021 0. 0. 0. 0. 82.179
Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 93 93 201 180 0 0 0 0 241
normalized size 1 1. 2.16 1.94 0. 0. 0. 0. 2.59
time (sec) N/A 0.722 0.292 0.028 0. 0. 0. 0. 114.061
Problem 335 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 102 102 244 189 0 0 0 0 0
normalized size 1 1. 2.39 1.85 0. 0. 0. 0. 0.
time (sec) N/A 1.106 0.355 0.03 0. 0. 0. 0. 0.
Problem 336 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 65 65 97 142 0 0 0 0 65
normalized size 1 1. 1.49 2.18 0. 0. 0. 0. 1.
time (sec) N/A 0.198 0.124 0.024 0. 0. 0. 0. 39.036
Problem 337 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 92 125 0 0 0 0 48
normalized size 1 1. 2. 2.72 0. 0. 0. 0. 1.04
time (sec) N/A 0.165 0.109 0.01 0. 0. 0. 0. 29.01
Problem 338 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 34 110 0 0 0 0 29
normalized size 1 1. 1.36 4.4 0. 0. 0. 0. 1.16
time (sec) N/A 0.128 0.058 0.007 0. 0. 0. 0. 19.73
Problem 339 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 19 47 0 0 0 0 12
normalized size 1 1. 1.9 4.7 0. 0. 0. 0. 1.2
time (sec) N/A 0.031 0.028 0.005 0. 0. 0. 0. 6.491
Problem 340 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 24 48 0 0 0 0 17
normalized size 1 1. 1.41 2.82 0. 0. 0. 0. 1.
time (sec) N/A 0.109 0.044 0.018 0. 0. 0. 0. 17.747
Problem 341 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 196 165 0 0 0 0 73
normalized size 1 1. 2.65 2.23 0. 0. 0. 0. 0.99
time (sec) N/A 0.263 0.317 0.026 0. 0. 0. 0. 38.583
Problem 342 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 102 102 108 189 0 0 0 0 0
normalized size 1 1. 1.06 1.85 0. 0. 0. 0. 0.
time (sec) N/A 0.437 0.426 0.028 0. 0. 0. 0. 0.
Problem 343 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 93 93 97 280 0 0 0 0 88
normalized size 1 1. 1.04 3.01 0. 0. 0. 0. 0.95
time (sec) N/A 0.232 0.126 0.048 0. 0. 0. 0. 53.086
Problem 344 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 92 240 0 0 0 0 71
normalized size 1 1. 1.24 3.24 0. 0. 0. 0. 0.96
time (sec) N/A 0.203 0.116 0.012 0. 0. 0. 0. 39.636
Problem 345 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 55 55 79 202 0 0 0 0 54
normalized size 1 1. 1.44 3.67 0. 0. 0. 0. 0.98
time (sec) N/A 0.168 0.126 0.01 0. 0. 0. 0. 29.598
Problem 346 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 55 55 79 179 0 0 0 0 54
normalized size 1 1. 1.44 3.25 0. 0. 0. 0. 0.98
time (sec) N/A 0.169 0.124 0.01 0. 0. 0. 0. 29.549
Problem 347 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 55 55 79 156 0 0 0 0 54
normalized size 1 1. 1.44 2.84 0. 0. 0. 0. 0.98
time (sec) N/A 0.155 0.116 0.008 0. 0. 0. 0. 24.093
Problem 348 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 55 55 79 133 0 0 0 0 49
normalized size 1 1. 1.44 2.42 0. 0. 0. 0. 0.89
time (sec) N/A 0.137 0.108 0.006 0. 0. 0. 0. 21.014
Problem 349 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 72 72 101 164 0 0 0 0 73
normalized size 1 1. 1.4 2.28 0. 0. 0. 0. 1.01
time (sec) N/A 0.297 0.213 0.023 0. 0. 0. 0. 81.754
Problem 350 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 100 100 196 188 0 0 0 0 299
normalized size 1 1. 1.96 1.88 0. 0. 0. 0. 2.99
time (sec) N/A 0.662 0.293 0.03 0. 0. 0. 0. 144.434
Problem 351 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 128 128 244 212 0 0 0 0 0
normalized size 1 1. 1.91 1.66 0. 0. 0. 0. 0.
time (sec) N/A 1.271 0.38 0.033 0. 0. 0. 0. 0.
Problem 352 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 242 242 354 292 0 0 0 0 241
normalized size 1 1. 1.46 1.21 0. 0. 0. 0. 1.
time (sec) N/A 0.28 0.989 0.208 0. 0. 0. 0. 56.684
Problem 353 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 221 221 349 275 0 0 0 0 219
normalized size 1 1. 1.58 1.24 0. 0. 0. 0. 0.99
time (sec) N/A 0.233 0.91 0.013 0. 0. 0. 0. 44.381
Problem 354 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 198 198 343 258 0 0 0 0 199
normalized size 1 1. 1.73 1.3 0. 0. 0. 0. 1.01
time (sec) N/A 0.186 1.037 0.011 0. 0. 0. 0. 35.309
Problem 355 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 177 177 338 240 0 0 0 0 177
normalized size 1 1. 1.91 1.36 0. 0. 0. 0. 1.
time (sec) N/A 0.132 0.776 0.008 0. 0. 0. 0. 26.613
Problem 356 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 169 169 331 224 0 0 0 0 168
normalized size 1 1. 1.96 1.33 0. 0. 0. 0. 0.99
time (sec) N/A 0.117 0.717 0.005 0. 0. 0. 0. 30.96
Problem 357 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 322 322 283 386 0 0 0 0 253
normalized size 1 1. 0.88 1.2 0. 0. 0. 0. 0.79
time (sec) N/A 0.234 0.328 0.08 0. 0. 0. 0. 33.496
Problem 358 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 284 284 481 410 0 0 0 0 0
normalized size 1 1. 1.69 1.44 0. 0. 0. 0. 0.
time (sec) N/A 0.23 1.242 0.032 0. 0. 0. 0. 0.
Problem 359 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 312 312 308 434 0 0 0 0 0
normalized size 1 1. 0.99 1.39 0. 0. 0. 0. 0.
time (sec) N/A 0.85 0.884 0.034 0. 0. 0. 0. 0.
Problem 360 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 268 268 364 326 0 0 0 0 269
normalized size 1 1. 1.36 1.22 0. 0. 0. 0. 1.
time (sec) N/A 0.32 1.191 0.049 0. 0. 0. 0. 63.075
Problem 361 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 247 247 358 309 0 0 0 0 248
normalized size 1 1. 1.45 1.25 0. 0. 0. 0. 1.
time (sec) N/A 0.273 0.993 0.01 0. 0. 0. 0. 50.961
Problem 362 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 226 226 354 292 0 0 0 0 226
normalized size 1 1. 1.57 1.29 0. 0. 0. 0. 1.
time (sec) N/A 0.223 0.912 0.013 0. 0. 0. 0. 41.674
Problem 363 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 207 207 349 275 0 0 0 0 202
normalized size 1 1. 1.69 1.33 0. 0. 0. 0. 0.98
time (sec) N/A 0.17 1.04 0.01 0. 0. 0. 0. 31.782
Problem 364 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 198 198 343 258 0 0 0 0 194
normalized size 1 1. 1.73 1.3 0. 0. 0. 0. 0.98
time (sec) N/A 0.158 0.922 0.005 0. 0. 0. 0. 36.53
Problem 365 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 284 284 477 418 0 0 0 0 301
normalized size 1 1. 1.68 1.47 0. 0. 0. 0. 1.06
time (sec) N/A 0.403 1.77 0.026 0. 0. 0. 0. 88.183
Problem 366 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 305 372 309 425 0 0 0 0 0
normalized size 1 1.22 1.01 1.39 0. 0. 0. 0. 0.
time (sec) N/A 0.711 0.727 0.034 0. 0. 0. 0. 0.
Problem 367 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 440 440 309 434 0 0 0 0 0
normalized size 1 1. 0.7 0.99 0. 0. 0. 0. 0.
time (sec) N/A 1.059 0.885 0.034 0. 0. 0. 0. 0.
Problem 368 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 187 187 337 241 0 0 0 0 189
normalized size 1 1. 1.8 1.29 0. 0. 0. 0. 1.01
time (sec) N/A 0.189 0.844 0.038 0. 0. 0. 0. 39.207
Problem 369 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 170 170 331 224 0 0 0 0 172
normalized size 1 1. 1.95 1.32 0. 0. 0. 0. 1.01
time (sec) N/A 0.147 0.757 0.01 0. 0. 0. 0. 29.766
Problem 370 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 151 151 214 209 0 0 0 0 153
normalized size 1 1. 1.42 1.38 0. 0. 0. 0. 1.01
time (sec) N/A 0.096 0.264 0.007 0. 0. 0. 0. 20.671
Problem 371 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 64 64 142 85 0 0 0 0 63
normalized size 1 1. 2.22 1.33 0. 0. 0. 0. 0.98
time (sec) N/A 0.021 0.096 0.004 0. 0. 0. 0. 9.965
Problem 372 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 168 168 159 107 0 0 0 0 165
normalized size 1 1. 0.95 0.64 0. 0. 0. 0. 0.98
time (sec) N/A 0.085 0.112 0.023 0. 0. 0. 0. 17.027
Problem 373 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 286 286 481 410 0 0 0 0 280
normalized size 1 1. 1.68 1.43 0. 0. 0. 0. 0.98
time (sec) N/A 0.233 1.224 0.031 0. 0. 0. 0. 32.984
Problem 374 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 314 314 308 434 0 0 0 0 0
normalized size 1 1. 0.98 1.38 0. 0. 0. 0. 0.
time (sec) N/A 0.438 1.307 0.031 0. 0. 0. 0. 0.
Problem 375 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 219 219 339 379 0 0 0 0 216
normalized size 1 1. 1.55 1.73 0. 0. 0. 0. 0.99
time (sec) N/A 0.239 0.903 0.067 0. 0. 0. 0. 55.224
Problem 376 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 200 200 333 339 0 0 0 0 197
normalized size 1 1. 1.66 1.7 0. 0. 0. 0. 0.98
time (sec) N/A 0.193 0.798 0.014 0. 0. 0. 0. 41.721
Problem 377 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 181 181 328 301 0 0 0 0 178
normalized size 1 1. 1.81 1.66 0. 0. 0. 0. 0.98
time (sec) N/A 0.149 0.691 0.01 0. 0. 0. 0. 31.376
Problem 378 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 181 181 329 278 0 0 0 0 178
normalized size 1 1. 1.82 1.54 0. 0. 0. 0. 0.98
time (sec) N/A 0.146 0.704 0.01 0. 0. 0. 0. 31.684
Problem 379 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 181 181 329 255 0 0 0 0 178
normalized size 1 1. 1.82 1.41 0. 0. 0. 0. 0.98
time (sec) N/A 0.135 0.8 0.008 0. 0. 0. 0. 26.078
Problem 380 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 181 181 328 232 0 0 0 0 177
normalized size 1 1. 1.81 1.28 0. 0. 0. 0. 0.98
time (sec) N/A 0.12 0.67 0.006 0. 0. 0. 0. 30.652
Problem 381 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 284 284 483 409 0 0 0 0 279
normalized size 1 1. 1.7 1.44 0. 0. 0. 0. 0.98
time (sec) N/A 0.272 0.956 0.028 0. 0. 0. 0. 78.02
Problem 382 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 312 312 311 433 0 0 0 0 0
normalized size 1 1. 1. 1.39 0. 0. 0. 0. 0.
time (sec) N/A 0.625 0.782 0.035 0. 0. 0. 0. 0.
Problem 383 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 340 340 320 457 0 0 0 0 0
normalized size 1 1. 0.94 1.34 0. 0. 0. 0. 0.
time (sec) N/A 1.214 1.015 0.037 0. 0. 0. 0. 0.
Problem 384 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F F F A
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 467 467 584 1186 0 0 0 0 444
normalized size 1 1. 1.25 2.54 0. 0. 0. 0. 0.95
time (sec) N/A 0.851 5.24 0.023 0. 0. 0. 0. 105.783
Problem 385 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F F F A
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 356 356 488 756 0 0 0 0 328
normalized size 1 1. 1.37 2.12 0. 0. 0. 0. 0.92
time (sec) N/A 0.461 2.989 0.012 0. 0. 0. 0. 54.248
Problem 386 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 283 283 302 362 0 0 0 0 257
normalized size 1 1. 1.07 1.28 0. 0. 0. 0. 0.91
time (sec) N/A 0.23 0.431 0.006 0. 0. 0. 0. 30.159
Problem 387 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F(-1) F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 386 386 214 200 0 0 0 0 332
normalized size 1 1. 0.55 0.52 0. 0. 0. 0. 0.86
time (sec) N/A 0.5 0.228 0.038 0. 0. 0. 0. 29.312
Problem 388 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F(-1) F F A
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 703 889 1069 1279 0 0 0 0 784
normalized size 1 1.26 1.52 1.82 0. 0. 0. 0. 1.12
time (sec) N/A 1.455 3.092 0.039 0. 0. 0. 0. 143.104
Problem 389 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 553 553 596 1195 0 0 0 0 0
normalized size 1 1. 1.08 2.16 0. 0. 0. 0. 0.
time (sec) N/A 2.619 4.444 0.022 0. 0. 0. 0. 0.
Problem 390 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 454 454 503 761 0 0 0 0 405
normalized size 1 1. 1.11 1.68 0. 0. 0. 0. 0.89
time (sec) N/A 1.812 2.443 0.012 0. 0. 0. 0. 142.436
Problem 391 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 385 385 293 364 0 0 0 0 340
normalized size 1 1. 0.76 0.95 0. 0. 0. 0. 0.88
time (sec) N/A 0.96 0.447 0.007 0. 0. 0. 0. 103.691
Problem 392 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F(-1) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 197 197 205 201 0 0 0 0 173
normalized size 1 1. 1.04 1.02 0. 0. 0. 0. 0.88
time (sec) N/A 0.523 0.222 0.038 0. 0. 0. 0. 61.454
Problem 393 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F(-1) F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 718 718 1341 1293 0 0 0 0 0
normalized size 1 1. 1.87 1.8 0. 0. 0. 0. 0.
time (sec) N/A 1.812 6.492 0.039 0. 0. 0. 0. 0.
Problem 394 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 479 479 304 355 0 0 0 0 420
normalized size 1 1. 0.63 0.74 0. 0. 0. 0. 0.88
time (sec) N/A 1.379 0.477 0.013 0. 0. 0. 0. 142.476
Problem 395 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F(-1) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 204 204 216 198 0 0 0 0 411
normalized size 1 1. 1.06 0.97 0. 0. 0. 0. 2.01
time (sec) N/A 0.579 0.226 0.036 0. 0. 0. 0. 153.612
Problem 396 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 293 293 295 357 0 0 0 0 260
normalized size 1 1. 1.01 1.22 0. 0. 0. 0. 0.89
time (sec) N/A 0.235 0.449 0.037 0. 0. 0. 0. 33.864
Problem 397 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F(-1) F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 399 399 207 199 0 0 0 0 338
normalized size 1 1. 0.52 0.5 0. 0. 0. 0. 0.85
time (sec) N/A 0.486 0.218 0.035 0. 0. 0. 0. 31.717
Problem 398 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 229 229 154 380 0 0 0 0 211
normalized size 1 1. 0.67 1.66 0. 0. 0. 0. 0.92
time (sec) N/A 0.294 0.304 0.014 0. 0. 0. 0. 54.623
Problem 399 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 168 168 127 235 0 0 0 0 148
normalized size 1 1. 0.76 1.4 0. 0. 0. 0. 0.88
time (sec) N/A 0.174 0.201 0.014 0. 0. 0. 0. 27.162
Problem 400 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 122 122 73 108 0 0 0 0 116
normalized size 1 1. 0.6 0.89 0. 0. 0. 0. 0.95
time (sec) N/A 0.083 0.082 0.008 0. 0. 0. 0. 13.87
Problem 401 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F(-2) F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 124 124 59 55 0 0 0 0 102
normalized size 1 1. 0.48 0.44 0. 0. 0. 0. 0.82
time (sec) N/A 0.254 0.059 0.024 0. 0. 0. 0. 35.01
Problem 402 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 316 399 175 443 0 0 0 0 332
normalized size 1 1.26 0.55 1.4 0. 0. 0. 0. 1.05
time (sec) N/A 0.492 0.76 0.037 0. 0. 0. 0. 77.532
Problem 403 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 27 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.029 0.114 0.109 0. 0. 0. 0. 0.
Problem 404 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 498 498 1871 0 0 0 0 0 0
normalized size 1 1. 3.76 0. 0. 0. 0. 0. 0.
time (sec) N/A 1.599 18.326 0.077 0. 0. 0. 0. 0.
Problem 405 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 358 345 1410 0 0 0 0 0 0
normalized size 1 0.96 3.94 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.77 6.058 0.059 0. 0. 0. 0. 0.
Problem 406 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 274 274 706 0 0 0 0 0 233
normalized size 1 1. 2.58 0. 0. 0. 0. 0. 0.85
time (sec) N/A 0.512 1.259 0.034 0. 0. 0. 0. 67.942
Problem 407 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 133 133 487 0 0 0 0 0 112
normalized size 1 1. 3.66 0. 0. 0. 0. 0. 0.84
time (sec) N/A 0.138 0.782 0.02 0. 0. 0. 0. 30.396
Problem 408 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A F(-1) A F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 27 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.031 0.059 0.057 0. 0. 0. 0. 0.
Problem 409 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A F(-1) A F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 27 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.028 0.089 0.077 0. 0. 0. 0. 0.

2.2 Detailed conclusion table specific for Rubi results

The following table is specific to Rubi. It gives additional statistics for each integral. the column steps is the number of steps used by Rubi to obtain the antiderivative. The rules column is the number of unique rules used. The integrand size column is the leaf size of the integrand. Finally the ratio \(\frac{\text{number of rules}}{\text{integrand size}}\) is given. The larger this ratio is, the harder the integral was to solve. In this test, problem number [155] had the largest ratio of [ 0.7778 ]

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 7 7 1. 24 0.292
2 A 9 9 1. 26 0.346
3 A 2 2 1. 40 0.05
4 A 2 2 1. 40 0.05
5 A 2 2 1. 46 0.043
6 A 2 2 1. 46 0.043
7 A 7 7 1. 29 0.241
8 A 9 9 1. 31 0.29
9 A 9 6 1. 17 0.353
10 A 9 6 1. 18 0.333
11 A 3 3 1. 18 0.167
12 A 3 3 1. 19 0.158
13 A 5 3 1. 17 0.176
14 A 3 2 1. 17 0.118
15 A 2 2 1. 17 0.118
16 A 2 2 1. 17 0.118
17 A 5 3 1. 27 0.111
18 A 3 2 1. 28 0.071
19 A 5 3 1. 21 0.143
20 A 3 2 1. 22 0.091
21 A 3 3 1. 15 0.2
22 A 2 2 1. 22 0.091
23 A 5 5 1. 23 0.217
24 A 3 3 1. 21 0.143
25 A 6 6 1. 22 0.273
26 A 1 1 1. 22 0.045
27 A 3 3 1. 21 0.143
28 A 1 1 1. 23 0.043
29 A 3 3 1. 22 0.136
30 A 1 1 1. 28 0.036
31 A 2 2 1. 24 0.083
32 A 4 4 1. 28 0.143
33 A 5 5 1. 25 0.2
34 A 5 3 1. 26 0.115
35 A 5 3 1. 26 0.115
36 A 5 3 1. 27 0.111
37 A 5 3 1. 27 0.111
38 A 3 2 1. 27 0.074
39 A 3 2 1. 27 0.074
40 A 3 2 1. 28 0.071
41 A 3 2 1. 28 0.071
42 A 3 2 1. 30 0.067
43 A 5 3 1. 29 0.103
44 A 6 4 1. 29 0.138
45 A 3 2 1. 32 0.062
46 A 5 3 1. 31 0.097
47 A 5 3 1. 22 0.136
48 A 5 3 1. 23 0.13
49 A 3 2 1. 22 0.091
50 A 3 2 1. 22 0.091
51 A 3 3 1. 22 0.136
52 A 5 3 1. 22 0.136
53 A 5 3 1. 22 0.136
54 A 5 3 1. 20 0.15
55 A 5 3 1. 17 0.176
56 A 5 3 1. 22 0.136
57 A 5 3 1. 22 0.136
58 A 5 3 1. 22 0.136
59 A 2 2 1. 22 0.091
60 A 7 3 1. 22 0.136
61 A 5 3 1. 22 0.136
62 A 3 2 1. 22 0.091
63 A 3 2 1. 22 0.091
64 A 3 2 1. 22 0.091
65 A 2 2 1. 22 0.091
66 A 3 2 1. 22 0.091
67 A 3 2 1. 22 0.091
68 A 3 2 1. 20 0.1
69 A 3 2 1. 17 0.118
70 A 3 2 1. 22 0.091
71 A 3 2 1. 22 0.091
72 A 3 2 1. 22 0.091
73 A 3 3 1. 22 0.136
74 A 7 3 1. 22 0.136
75 A 5 3 1. 22 0.136
76 A 5 3 1. 18 0.167
77 A 3 2 1. 18 0.111
78 A 3 2 1. 18 0.111
79 A 3 2 1. 18 0.111
80 A 2 2 1. 18 0.111
81 A 5 3 1. 16 0.188
82 A 5 3 1. 13 0.231
83 A 5 3 1. 18 0.167
84 A 2 2 1. 18 0.111
85 A 7 3 1. 18 0.167
86 A 5 3 1. 18 0.167
87 A 5 3 1. 18 0.167
88 A 3 2 1. 20 0.1
89 A 3 2 1. 20 0.1
90 A 3 2 1. 20 0.1
91 A 3 2 1. 20 0.1
92 A 2 2 1. 20 0.1
93 A 3 2 1. 18 0.111
94 A 3 2 1. 15 0.133
95 A 3 2 1. 20 0.1
96 A 3 3 1. 20 0.15
97 A 5 3 1. 20 0.15
98 A 5 3 1. 20 0.15
99 A 5 3 1. 20 0.15
100 A 5 3 1. 23 0.13
101 A 5 3 1. 22 0.136
102 A 3 3 1. 20 0.15
103 A 3 2 1. 22 0.091
104 A 3 2 1. 22 0.091
105 A 3 2 1. 18 0.111
106 A 9 5 1. 18 0.278
107 A 10 6 1. 18 0.333
108 A 9 5 1. 18 0.278
109 A 10 6 1. 18 0.333
110 A 9 5 1. 29 0.172
111 A 9 5 1. 26 0.192
112 A 9 5 1. 24 0.208
113 A 9 5 1. 22 0.227
114 A 9 5 1. 25 0.2
115 A 9 5 1. 31 0.161
116 A 9 5 1. 32 0.156
117 A 9 5 1. 23 0.217
118 A 9 5 1. 25 0.2
119 A 9 5 1. 29 0.172
120 A 9 5 1. 32 0.156
121 A 4 4 1. 22 0.182
122 A 5 5 1. 24 0.208
123 A 4 4 1. 24 0.167
124 A 4 4 1. 24 0.167
125 A 4 4 1. 24 0.167
126 A 4 4 1. 24 0.167
127 A 3 3 1. 39 0.077
128 A 2 1 1. 17 0.059
129 A 2 1 1. 17 0.059
130 A 2 1 1. 17 0.059
131 A 2 1 1. 15 0.067
132 A 3 2 1. 17 0.118
133 A 3 3 1. 17 0.176
134 A 3 3 1. 17 0.176
135 A 4 4 1. 17 0.235
136 A 2 1 1. 19 0.053
137 A 2 1 1. 19 0.053
138 A 2 1 1. 17 0.059
139 A 2 1 1. 9 0.111
140 A 3 2 1. 19 0.105
141 A 4 3 1. 19 0.158
142 A 5 3 1. 19 0.158
143 A 5 3 1. 19 0.158
144 A 5 3 1. 19 0.158
145 A 11 7 1. 19 0.368
146 A 11 7 1. 19 0.368
147 A 11 7 1. 19 0.368
148 A 9 6 1. 17 0.353
149 A 9 6 1. 9 0.667
150 A 12 8 1. 19 0.421
151 A 14 9 1. 19 0.474
152 A 11 8 1. 19 0.421
153 A 11 8 1. 19 0.421
154 A 10 7 1. 17 0.412
155 A 10 7 1. 9 0.778
156 A 22 9 1. 19 0.474
157 A 24 10 1. 19 0.526
158 A 5 5 1. 21 0.238
159 A 4 4 1. 21 0.19
160 A 3 3 1. 19 0.158
161 A 2 2 1. 21 0.095
162 A 6 5 1.25 21 0.238
163 A 8 8 1. 22 0.364
164 A 7 7 1. 22 0.318
165 A 6 6 1. 20 0.3
166 A 2 2 1. 22 0.091
167 A 9 9 1. 22 0.409
168 A 6 6 1. 21 0.286
169 A 2 2 1. 23 0.087
170 A 3 3 1. 29 0.103
171 A 3 3 1. 29 0.103
172 A 3 3 1. 22 0.136
173 A 2 2 1. 24 0.083
174 A 2 2 1. 21 0.095
175 A 2 2 1. 21 0.095
176 A 1 1 1. 22 0.045
177 A 2 2 1. 21 0.095
178 F 0 0 N/A 0 N/A
179 A 0 0 0. 0 0.
180 A 9 6 0.96 19 0.316
181 A 7 6 0.95 19 0.316
182 A 6 5 1. 17 0.294
183 A 2 2 1. 9 0.222
184 A 6 5 1. 19 0.263
185 A 8 5 1. 19 0.263
186 A 6 4 0.95 19 0.21
187 A 5 4 0.92 19 0.21
188 A 4 3 1. 17 0.176
189 A 1 1 1. 9 0.111
190 A 4 3 1. 19 0.158
191 A 5 3 1. 19 0.158
192 A 6 3 1. 19 0.158
193 A 4 3 1. 24 0.125
194 A 4 3 1. 24 0.125
195 A 3 3 1. 24 0.125
196 A 2 2 1. 22 0.091
197 A 5 5 1. 24 0.208
198 A 6 6 1. 24 0.25
199 A 6 6 1. 26 0.231
200 A 3 3 1. 26 0.115
201 A 4 4 1. 26 0.154
202 A 6 6 1. 26 0.231
203 A 5 5 1. 28 0.179
204 A 4 4 1. 28 0.143
205 A 3 3 1. 28 0.107
206 A 3 3 1. 28 0.107
207 A 4 4 1. 28 0.143
208 A 6 6 1. 28 0.214
209 A 5 5 1. 29 0.172
210 A 4 4 1. 29 0.138
211 A 3 3 1. 29 0.103
212 A 3 3 1. 29 0.103
213 A 4 4 1. 29 0.138
214 A 6 6 1. 29 0.207
215 A 2 2 1. 19 0.105
216 A 3 3 1.67 19 0.158
217 A 7 5 0.99 31 0.161
218 A 4 3 1. 39 0.077
219 A 4 3 1. 39 0.077
220 A 3 3 1. 39 0.077
221 A 2 2 1. 37 0.054
222 A 5 5 1. 39 0.128
223 A 6 6 1. 39 0.154
224 A 7 7 1. 41 0.171
225 A 6 6 1. 41 0.146
226 A 3 3 1. 41 0.073
227 A 4 4 1. 41 0.098
228 A 6 6 1. 41 0.146
229 A 6 6 1. 20 0.3
230 A 5 5 1. 20 0.25
231 A 4 4 1. 18 0.222
232 A 8 7 1. 20 0.35
233 A 1 1 1. 20 0.05
234 A 25 12 1. 20 0.6
235 A 28 13 1. 20 0.65
236 A 5 5 1. 20 0.25
237 A 4 4 1. 20 0.2
238 A 3 3 1. 18 0.167
239 A 4 4 1. 20 0.2
240 A 8 7 1. 20 0.35
241 A 11 10 1. 20 0.5
242 A 4 4 1. 20 0.2
243 A 2 2 1. 20 0.1
244 A 2 2 1. 18 0.111
245 A 9 8 1. 20 0.4
246 A 16 9 1. 20 0.45
247 A 25 13 1. 20 0.65
248 A 2 1 1. 22 0.045
249 A 2 1 1. 22 0.045
250 A 2 1 1. 22 0.045
251 A 2 1 1. 20 0.05
252 A 3 2 1. 22 0.091
253 A 3 3 1. 22 0.136
254 A 3 3 1. 22 0.136
255 A 4 4 1. 22 0.182
256 A 2 1 1. 24 0.042
257 A 2 1 1. 24 0.042
258 A 2 1 1. 22 0.045
259 A 2 1 1. 14 0.071
260 A 3 2 1. 24 0.083
261 A 4 3 1. 24 0.125
262 A 5 3 1. 24 0.125
263 A 5 3 1. 24 0.125
264 A 5 3 1. 24 0.125
265 A 3 3 1. 22 0.136
266 A 3 3 1. 23 0.13
267 A 5 3 1. 24 0.125
268 A 5 3 1. 24 0.125
269 A 5 3 1. 24 0.125
270 A 3 2 1. 22 0.091
271 A 3 2 1. 14 0.143
272 A 6 3 1. 24 0.125
273 A 8 4 1. 24 0.167
274 A 4 3 1. 24 0.125
275 A 4 3 1. 24 0.125
276 A 4 3 1. 22 0.136
277 A 4 3 1. 14 0.214
278 A 10 4 1. 24 0.167
279 A 12 5 1. 24 0.208
280 A 7 5 1. 24 0.208
281 A 6 5 1. 24 0.208
282 A 5 5 1. 24 0.208
283 A 4 4 1. 24 0.167
284 A 4 4 1. 24 0.167
285 A 4 4 1. 24 0.167
286 A 4 4 1. 24 0.167
287 A 5 5 1. 24 0.208
288 A 6 5 0.99 24 0.208
289 A 7 5 1. 24 0.208
290 A 6 6 1. 24 0.25
291 A 5 5 1. 24 0.208
292 A 4 4 1. 22 0.182
293 A 4 4 1. 14 0.286
294 A 8 7 1.3 24 0.292
295 A 8 7 1. 24 0.292
296 A 24 11 1. 24 0.458
297 A 7 6 1. 24 0.25
298 A 6 5 1. 24 0.208
299 A 5 4 1. 22 0.182
300 A 5 5 1. 14 0.357
301 A 13 8 1. 24 0.333
302 A 20 9 1.5 24 0.375
303 A 26 11 1.25 24 0.458
304 A 5 5 1. 24 0.208
305 A 4 4 1. 24 0.167
306 A 3 3 1. 22 0.136
307 A 1 1 1. 14 0.071
308 A 4 4 1. 24 0.167
309 A 8 7 1. 24 0.292
310 A 10 9 1. 24 0.375
311 A 6 5 1. 24 0.208
312 A 5 5 1. 24 0.208
313 A 4 4 1. 24 0.167
314 A 4 4 1. 24 0.167
315 A 4 4 1. 22 0.182
316 A 4 4 1. 14 0.286
317 A 9 8 1.2 24 0.333
318 A 18 9 1. 24 0.375
319 A 28 12 1. 24 0.5
320 A 8 7 1. 24 0.292
321 A 7 7 1. 24 0.292
322 A 6 6 1. 24 0.25
323 A 5 5 1. 22 0.227
324 A 5 5 1. 14 0.357
325 A 7 7 1. 24 0.292
326 A 7 7 1. 24 0.292
327 A 20 11 1. 24 0.458
328 A 9 7 1. 24 0.292
329 A 8 7 1. 24 0.292
330 A 7 6 1. 24 0.25
331 A 6 5 1. 22 0.227
332 A 6 6 1. 14 0.429
333 A 13 8 1. 24 0.333
334 A 20 12 1. 24 0.5
335 A 26 14 1. 24 0.583
336 A 6 6 1. 24 0.25
337 A 5 5 1. 24 0.208
338 A 4 4 1. 22 0.182
339 A 2 2 1. 14 0.143
340 A 2 2 1. 24 0.083
341 A 7 7 1. 24 0.292
342 A 9 9 1. 24 0.375
343 A 7 6 1. 24 0.25
344 A 6 6 1. 24 0.25
345 A 5 5 1. 24 0.208
346 A 5 5 1. 24 0.208
347 A 5 5 1. 22 0.227
348 A 5 5 1. 14 0.357
349 A 8 8 1. 24 0.333
350 A 16 9 1. 24 0.375
351 A 25 12 1. 24 0.5
352 A 7 6 1. 24 0.25
353 A 6 6 1. 24 0.25
354 A 5 5 1. 24 0.208
355 A 4 4 1. 22 0.182
356 A 4 4 1. 14 0.286
357 A 6 5 1. 24 0.208
358 A 6 5 1. 24 0.208
359 A 18 9 1. 24 0.375
360 A 8 6 1. 24 0.25
361 A 7 6 1. 24 0.25
362 A 6 5 1. 24 0.208
363 A 5 4 1. 22 0.182
364 A 5 5 1. 14 0.357
365 A 11 6 1. 24 0.25
366 A 18 8 1.22 24 0.333
367 A 22 10 1. 24 0.417
368 A 5 5 1. 24 0.208
369 A 4 4 1. 24 0.167
370 A 3 3 1. 22 0.136
371 A 1 1 1. 14 0.071
372 A 2 2 1. 24 0.083
373 A 6 5 1. 24 0.208
374 A 8 7 1. 24 0.292
375 A 6 5 1. 24 0.208
376 A 5 5 1. 24 0.208
377 A 4 4 1. 24 0.167
378 A 4 4 1. 24 0.167
379 A 4 4 1. 22 0.182
380 A 4 4 1. 14 0.286
381 A 7 6 1. 24 0.25
382 A 14 7 1. 24 0.292
383 A 22 10 1. 24 0.417
384 A 5 5 1. 26 0.192
385 A 4 4 1. 26 0.154
386 A 3 3 1. 24 0.125
387 A 2 2 1. 26 0.077
388 A 6 5 1.26 26 0.192
389 A 6 6 1. 27 0.222
390 A 5 5 1. 27 0.185
391 A 4 4 1. 25 0.16
392 A 2 2 1. 27 0.074
393 A 7 7 1. 27 0.259
394 A 5 5 1. 26 0.192
395 A 2 2 1. 28 0.071
396 A 3 3 1. 27 0.111
397 A 2 2 1. 29 0.069
398 A 5 5 1. 24 0.208
399 A 4 4 1. 24 0.167
400 A 3 3 1. 22 0.136
401 A 4 4 1. 24 0.167
402 A 8 7 1.26 24 0.292
403 A 0 0 0. 0 0.
404 A 8 7 1. 24 0.292
405 A 7 6 0.96 24 0.25
406 A 6 5 1. 22 0.227
407 A 2 2 1. 14 0.143
408 A 0 0 0. 0 0.
409 A 0 0 0. 0 0.

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