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2 detailed summary tables of results

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

2.1 Detailed conclusion table per each integral for all CAS systems

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

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

Problem 1 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 149 149 149 126 169 1 151 177 0
normalized size 1 1. 1. 0.85 1.13 0.01 1.01 1.19 0.
time (sec) N/A 0.462 0.008 0.004 0.702 0.229 0.162 0.26 0.
Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 149 149 149 126 169 1 155 177 155
normalized size 1 1. 1. 0.85 1.13 0.01 1.04 1.19 1.04
time (sec) N/A 0.237 0.006 0.002 0.706 0.24 0.162 0.26 31.156
Problem 3 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 89 89 146 125 167 1 150 176 0
normalized size 1 1. 1.64 1.4 1.88 0.01 1.69 1.98 0.
time (sec) N/A 0.191 0.006 0.002 0.695 0.231 0.158 0.261 0.
Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 141 141 141 122 163 1 148 171 0
normalized size 1 1. 1. 0.87 1.16 0.01 1.05 1.21 0.
time (sec) N/A 0.169 0.006 0.002 0.702 0.259 0.159 0.263 0.
Problem 5 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 142 142 142 123 169 165 150 177 0
normalized size 1 1. 1. 0.87 1.19 1.16 1.06 1.25 0.
time (sec) N/A 0.217 0.014 0.005 0.71 0.27 1.514 0.264 0.
Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 139 139 139 122 163 171 143 171 0
normalized size 1 1. 1. 0.88 1.17 1.23 1.03 1.23 0.
time (sec) N/A 0.182 0.013 0.006 0.705 0.25 1.514 0.26 0.
Problem 7 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 142 142 142 123 169 174 150 192 0
normalized size 1 1. 1. 0.87 1.19 1.23 1.06 1.35 0.
time (sec) N/A 0.28 0.013 0.009 0.707 0.25 1.648 0.264 0.
Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 67 67 54 53 138 271 97 70 61
normalized size 1 1. 0.81 0.79 2.06 4.04 1.45 1.04 0.91
time (sec) N/A 0.145 0.035 0.028 0.78 0.262 13.433 0.265 11.376
Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 51 51 44 46 126 231 70 62 46
normalized size 1 1. 0.86 0.9 2.47 4.53 1.37 1.22 0.9
time (sec) N/A 0.093 0.034 0.009 0.784 0.271 10.598 0.263 8.58
Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 36 34 90 190 53 50 37
normalized size 1 1. 0.82 0.77 2.05 4.32 1.2 1.14 0.84
time (sec) N/A 0.059 0.023 0.013 0.786 0.278 6.571 0.265 7.072
Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 58 58 57 49 134 247 83 0 53
normalized size 1 1. 0.98 0.84 2.31 4.26 1.43 0. 0.91
time (sec) N/A 0.144 0.094 0.017 0.783 0.272 12.298 0. 13.827
Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 59 59 55 61 119 250 83 0 56
normalized size 1 1. 0.93 1.03 2.02 4.24 1.41 0. 0.95
time (sec) N/A 0.148 0.091 0.019 0.782 0.303 11.939 0. 14.02
Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 61 75 123 279 76 0 58
normalized size 1 1. 0.97 1.19 1.95 4.43 1.21 0. 0.92
time (sec) N/A 0.149 0.103 0.018 0.784 0.304 12.495 0. 13.405
Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 58 58 54 52 80 263 63 84 54
normalized size 1 1. 0.93 0.9 1.38 4.53 1.09 1.45 0.93
time (sec) N/A 0.121 0.055 0.018 0.776 0.266 11.988 0.27 11.474
Problem 15 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 208 208 105 192 0 0 78 0 206
normalized size 1 1. 0.5 0.92 0. 0. 0.38 0. 0.99
time (sec) N/A 0.29 0.212 0.072 0. 0. 4.553 0. 25.671
Problem 16 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 192 192 101 180 0 0 78 0 190
normalized size 1 1. 0.53 0.94 0. 0. 0.41 0. 0.99
time (sec) N/A 0.225 0.19 0.017 0. 0. 3.673 0. 19.934
Problem 17 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 176 176 96 168 0 0 76 0 175
normalized size 1 1. 0.55 0.95 0. 0. 0.43 0. 0.99
time (sec) N/A 0.134 0.199 0.015 0. 0. 3.215 0. 12.532
Problem 18 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 171 171 108 167 0 0 78 0 175
normalized size 1 1. 0.63 0.98 0. 0. 0.46 0. 1.02
time (sec) N/A 0.155 0.162 0.022 0. 0. 3.846 0. 14.477
Problem 19 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 192 192 98 170 0 0 83 0 189
normalized size 1 1. 0.51 0.89 0. 0. 0.43 0. 0.98
time (sec) N/A 0.203 0.224 0.023 0. 0. 4.209 0. 19.38
Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 83 83 59 73 171 352 131 88 76
normalized size 1 1. 0.71 0.88 2.06 4.24 1.58 1.06 0.92
time (sec) N/A 0.158 0.055 0.032 0.777 0.265 34.457 0.264 11.704
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 67 67 54 58 159 312 124 80 61
normalized size 1 1. 0.81 0.87 2.37 4.66 1.85 1.19 0.91
time (sec) N/A 0.105 0.048 0.011 0.781 0.267 27.135 0.266 9.052
Problem 22 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 56 46 128 271 109 70 54
normalized size 1 1. 0.93 0.77 2.13 4.52 1.82 1.17 0.9
time (sec) N/A 0.072 0.031 0.019 0.777 0.286 17.191 0.267 7.308
Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 68 75 186 354 114 0 71
normalized size 1 1. 0.87 0.96 2.38 4.54 1.46 0. 0.91
time (sec) N/A 0.197 0.1 0.021 0.785 0.289 22.755 0. 16.106
Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 81 81 66 75 165 370 114 0 76
normalized size 1 1. 0.81 0.93 2.04 4.57 1.41 0. 0.94
time (sec) N/A 0.19 0.123 0.023 0.789 0.299 18.937 0. 16.75
Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 86 70 73 166 370 133 0 82
normalized size 1 1. 0.81 0.85 1.93 4.3 1.55 0. 0.95
time (sec) N/A 0.198 0.112 0.023 0.786 0.299 23.105 0. 16.68
Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 82 82 69 73 151 356 148 0 76
normalized size 1 1. 0.84 0.89 1.84 4.34 1.8 0. 0.93
time (sec) N/A 0.196 0.118 0.024 0.78 0.294 22.712 0. 16.759
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 235 235 115 216 0 0 160 0 235
normalized size 1 1. 0.49 0.92 0. 0. 0.68 0. 1.
time (sec) N/A 0.338 0.23 0.025 0. 0. 10.959 0. 31.03
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 219 219 110 204 0 0 160 0 219
normalized size 1 1. 0.5 0.93 0. 0. 0.73 0. 1.
time (sec) N/A 0.297 0.231 0.017 0. 0. 8.016 0. 25.866
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 197 197 106 192 0 0 158 0 197
normalized size 1 1. 0.54 0.97 0. 0. 0.8 0. 1.
time (sec) N/A 0.168 0.222 0.015 0. 0. 5.963 0. 16.012
Problem 30 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 199 199 125 192 0 0 160 0 197
normalized size 1 1. 0.63 0.96 0. 0. 0.8 0. 0.99
time (sec) N/A 0.188 0.173 0.022 0. 0. 6.98 0. 17.597
Problem 31 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 201 201 124 192 0 0 163 0 199
normalized size 1 1. 0.62 0.96 0. 0. 0.81 0. 0.99
time (sec) N/A 0.208 0.17 0.025 0. 0. 7.085 0. 18.466
Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 67 67 44 51 140 224 85 62 60
normalized size 1 1. 0.66 0.76 2.09 3.34 1.27 0.93 0.9
time (sec) N/A 0.185 0.042 0.022 0.781 0.261 15.607 0.262 13.113
Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 51 51 36 39 103 190 66 50 44
normalized size 1 1. 0.71 0.76 2.02 3.73 1.29 0.98 0.86
time (sec) N/A 0.134 0.029 0.016 0.778 0.296 10.518 0.264 10.665
Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 34 32 88 142 53 45 31
normalized size 1 1. 0.97 0.91 2.51 4.06 1.51 1.29 0.89
time (sec) N/A 0.087 0.029 0.011 0.782 0.267 8.272 0.265 7.997
Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 24 20 57 88 22 35 22
normalized size 1 1. 1. 0.83 2.38 3.67 0.92 1.46 0.92
time (sec) N/A 0.053 0.015 0.014 0.78 0.28 2.082 0.265 6.58
Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 38 38 38 30 90 108 31 0 37
normalized size 1 1. 1. 0.79 2.37 2.84 0.82 0. 0.97
time (sec) N/A 0.106 0.079 0.013 0.782 0.271 6.223 0. 10.276
Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 42 42 42 31 63 140 31 65 39
normalized size 1 1. 1. 0.74 1.5 3.33 0.74 1.55 0.93
time (sec) N/A 0.107 0.045 0.017 0.784 0.259 6.668 0.275 10.009
Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 58 58 51 43 80 216 88 72 51
normalized size 1 1. 0.88 0.74 1.38 3.72 1.52 1.24 0.88
time (sec) N/A 0.148 0.05 0.018 0.782 0.314 7.181 0.277 12.361
Problem 39 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 185 185 96 168 0 0 75 0 185
normalized size 1 1. 0.52 0.91 0. 0. 0.41 0. 1.
time (sec) N/A 0.214 0.254 0.025 0. 0. 4.379 0. 18.908
Problem 40 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 166 166 71 155 0 0 75 0 167
normalized size 1 1. 0.43 0.93 0. 0. 0.45 0. 1.01
time (sec) N/A 0.16 0.164 0.018 0. 0. 3.903 0. 13.606
Problem 41 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 155 155 62 146 0 0 73 0 158
normalized size 1 1. 0.4 0.94 0. 0. 0.47 0. 1.02
time (sec) N/A 0.102 0.085 0.014 0. 0. 3.038 0. 8.428
Problem 42 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 173 173 81 158 0 0 75 0 175
normalized size 1 1. 0.47 0.91 0. 0. 0.43 0. 1.01
time (sec) N/A 0.152 0.248 0.021 0. 0. 3.444 0. 13.26
Problem 43 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 189 189 97 170 0 0 80 0 190
normalized size 1 1. 0.51 0.9 0. 0. 0.42 0. 1.01
time (sec) N/A 0.215 0.205 0.024 0. 0. 4.177 0. 17.989
Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 58 58 44 50 120 205 66 61 51
normalized size 1 1. 0.76 0.86 2.07 3.53 1.14 1.05 0.88
time (sec) N/A 0.146 0.059 0.026 0.774 0.297 30.356 0.269 11.231
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 45 45 36 37 85 151 48 53 41
normalized size 1 1. 0.8 0.82 1.89 3.36 1.07 1.18 0.91
time (sec) N/A 0.12 0.048 0.018 0.783 0.327 20.569 0.27 10.518
Problem 46 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 35 35 35 34 73 95 39 45 31
normalized size 1 1. 1. 0.97 2.09 2.71 1.11 1.29 0.89
time (sec) N/A 0.083 0.029 0.01 0.788 0.306 16.066 0.275 8.205
Problem 47 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 20 20 20 17 30 50 24 22 17
normalized size 1 1. 1. 0.85 1.5 2.5 1.2 1.1 0.85
time (sec) N/A 0.051 0.016 0.006 0.777 0.308 13.152 0.271 6.244
Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 46 40 76 170 212 72 39
normalized size 1 1. 1. 0.87 1.65 3.7 4.61 1.57 0.85
time (sec) N/A 0.115 0.054 0.023 0.787 0.336 18.742 0.274 10.592
Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 65 65 53 47 92 216 228 0 60
normalized size 1 1. 0.82 0.72 1.42 3.32 3.51 0. 0.92
time (sec) N/A 0.157 0.092 0.019 0.78 0.299 27.01 0. 12.817
Problem 50 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 196 196 85 168 0 0 75 0 194
normalized size 1 1. 0.43 0.86 0. 0. 0.38 0. 0.99
time (sec) N/A 0.229 0.198 0.028 0. 0. 13.094 0. 19.169
Problem 51 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 177 177 85 168 0 0 75 0 177
normalized size 1 1. 0.48 0.95 0. 0. 0.42 0. 1.
time (sec) N/A 0.166 0.183 0.019 0. 0. 11.176 0. 14.171
Problem 52 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 180 180 86 168 0 0 73 0 182
normalized size 1 1. 0.48 0.93 0. 0. 0.41 0. 1.01
time (sec) N/A 0.134 0.173 0.018 0. 0. 10.609 0. 11.72
Problem 53 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 196 196 108 180 0 0 75 0 194
normalized size 1 1. 0.55 0.92 0. 0. 0.38 0. 0.99
time (sec) N/A 0.212 0.204 0.027 0. 0. 17.792 0. 18.692
Problem 54 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 214 214 119 192 0 0 80 0 209
normalized size 1 1. 0.56 0.9 0. 0. 0.37 0. 0.98
time (sec) N/A 0.27 0.236 0.028 0. 0. 26.539 0. 23.426
Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 269 269 189 2295 0 2121 0 1 241
normalized size 1 1. 0.7 8.53 0. 7.88 0. 0. 0.9
time (sec) N/A 0.368 0.191 0.018 0. 0.309 0. 0.314 48.725
Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 153 130 174 1 134 193 51
normalized size 1 1. 2.43 2.06 2.76 0.02 2.13 3.06 0.81
time (sec) N/A 0.422 0.042 0.001 0.695 0.244 0.179 0.261 22.377
Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 153 153 153 130 174 1 141 194 141
normalized size 1 1. 1. 0.85 1.14 0.01 0.92 1.27 0.92
time (sec) N/A 0.277 0.04 0.002 0.699 0.23 0.178 0.262 25.836
Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 151 130 174 1 136 194 36
normalized size 1 1. 3.36 2.89 3.87 0.02 3.02 4.31 0.8
time (sec) N/A 0.334 0.038 0.001 0.702 0.239 0.174 0.263 19.205
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 153 153 153 130 174 1 139 194 139
normalized size 1 1. 1. 0.85 1.14 0.01 0.91 1.27 0.91
time (sec) N/A 0.274 0.039 0.002 0.699 0.251 0.174 0.261 27.911
Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 149 130 174 1 133 194 22
normalized size 1 1. 5.14 4.48 6. 0.03 4.59 6.69 0.76
time (sec) N/A 0.13 0.026 0.002 0.694 0.239 0.176 0.261 16.177
Problem 61 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 143 143 143 127 169 1 134 190 0
normalized size 1 1. 1. 0.89 1.18 0.01 0.94 1.33 0.
time (sec) N/A 0.205 0.038 0.001 0.704 0.235 0.183 0.272 0.
Problem 62 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 93 93 149 132 176 171 131 196 0
normalized size 1 1. 1.6 1.42 1.89 1.84 1.41 2.11 0.
time (sec) N/A 0.109 0.051 0.005 0.688 0.302 0.927 0.272 0.
Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 141 141 141 129 169 177 124 188 0
normalized size 1 1. 1. 0.91 1.2 1.26 0.88 1.33 0.
time (sec) N/A 0.225 0.057 0.007 0.688 0.25 1.688 0.269 0.
Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 147 147 147 131 176 180 131 211 0
normalized size 1 1. 1. 0.89 1.2 1.22 0.89 1.44 0.
time (sec) N/A 0.346 0.069 0.01 0.709 0.254 1.902 0.274 0.
Problem 65 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 203 203 123 1121 0 1025 0 1 177
normalized size 1 1. 0.61 5.52 0. 5.05 0. 0. 0.87
time (sec) N/A 0.17 0.057 0.015 0. 0.293 0. 0.296 35.597
Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 85 62 82 1 76 82 24
normalized size 1 1. 2.5 1.82 2.41 0.03 2.24 2.41 0.71
time (sec) N/A 0.094 0.004 0.002 0.699 0.258 0.108 0.269 10.466
Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 83 83 83 62 82 1 75 82 75
normalized size 1 1. 1. 0.75 0.99 0.01 0.9 0.99 0.9
time (sec) N/A 0.065 0.003 0.002 0.702 0.25 0.1 0.272 11.044
Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 83 62 82 1 75 82 15
normalized size 1 1. 3.61 2.7 3.57 0.04 3.26 3.57 0.65
time (sec) N/A 0.053 0.003 0.002 0.701 0.227 0.103 0.268 9.584
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 83 83 83 62 82 1 75 82 75
normalized size 1 1. 1. 0.75 0.99 0.01 0.9 0.99 0.9
time (sec) N/A 0.059 0.002 0.002 0.696 0.226 0.101 0.268 11.216
Problem 70 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 11 11 11 62 82 1 71 82 7
normalized size 1 1. 1. 5.64 7.45 0.09 6.45 7.45 0.64
time (sec) N/A 0.009 0.002 0.002 0.699 0.229 0.107 0.261 3.545
Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 73 58 77 1 68 77 68
normalized size 1 1. 1. 0.79 1.05 0.01 0.93 1.05 0.93
time (sec) N/A 0.045 0.001 0.002 0.699 0.256 0.11 0.261 9.602
Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 80 80 80 59 84 78 75 84 0
normalized size 1 1. 1. 0.74 1.05 0.98 0.94 1.05 0.
time (sec) N/A 0.061 0.005 0.004 0.699 0.25 0.205 0.262 0.
Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 73 60 80 84 66 80 66
normalized size 1 1. 1. 0.82 1.1 1.15 0.9 1.1 0.9
time (sec) N/A 0.052 0.005 0.005 0.697 0.242 0.189 0.264 11.209
Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 80 80 80 61 84 86 75 93 0
normalized size 1 1. 1. 0.76 1.05 1.08 0.94 1.16 0.
time (sec) N/A 0.08 0.004 0.008 0.697 0.25 0.228 0.263 0.
Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 145 145 80 90 0 1 90 136 0
normalized size 1 1. 0.55 0.62 0. 0.01 0.62 0.94 0.
time (sec) N/A 0.266 0.086 0.013 0. 0.26 1.76 0.265 0.
Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 83 83 51 55 92 39 27 57 76
normalized size 1 1. 0.61 0.66 1.11 0.47 0.33 0.69 0.92
time (sec) N/A 0.192 0.039 0.01 0.711 0.29 1.515 0.264 24.596
Problem 77 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 97 97 69 62 0 1 82 80 0
normalized size 1 1. 0.71 0.64 0. 0.01 0.85 0.82 0.
time (sec) N/A 0.122 0.051 0.009 0. 0.27 1.63 0.263 0.
Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 92 92 54 57 0 45 26 82 0
normalized size 1 1. 0.59 0.62 0. 0.49 0.28 0.89 0.
time (sec) N/A 0.211 0.037 0.014 0. 0.256 2.191 0.264 0.
Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 101 101 72 67 0 1 82 84 0
normalized size 1 1. 0.71 0.66 0. 0.01 0.81 0.83 0.
time (sec) N/A 0.194 0.058 0.013 0. 0.285 1.811 0.266 0.
Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 137 70 78 0 65 41 177 0
normalized size 1 1. 0.51 0.57 0. 0.47 0.3 1.29 0.
time (sec) N/A 0.263 0.056 0.017 0. 0.267 2.969 0.265 0.
Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 153 153 108 188 0 1 0 4 0
normalized size 1 1. 0.71 1.23 0. 0.01 0. 0.03 0.
time (sec) N/A 0.326 0.109 0.024 0. 0.267 0. 0.617 0.
Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 45 38 96 57 0 4 48
normalized size 1 1. 0.58 0.49 1.25 0.74 0. 0.05 0.62
time (sec) N/A 0.18 0.042 0.008 0.709 0.259 0. 0.63 18.014
Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 156 156 108 186 0 1 0 4 0
normalized size 1 1. 0.69 1.19 0. 0.01 0. 0.03 0.
time (sec) N/A 0.202 0.097 0.02 0. 0.273 0. 0.628 0.
Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 161 161 92 132 0 161 0 4 163
normalized size 1 1. 0.57 0.82 0. 1. 0. 0.02 1.01
time (sec) N/A 0.313 0.076 0.029 0. 0.266 0. 0.626 43.484
Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 190 190 124 206 0 1 0 4 0
normalized size 1 1. 0.65 1.08 0. 0.01 0. 0.02 0.
time (sec) N/A 0.472 0.139 0.027 0. 0.282 0. 0.637 0.
Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 223 223 130 249 0 277 0 4 223
normalized size 1 1. 0.58 1.12 0. 1.24 0. 0.02 1.
time (sec) N/A 0.429 0.13 0.033 0. 0.274 0. 0.604 59.012
Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 400 400 160 1099 663 1152 0 1 374
normalized size 1 1. 0.4 2.75 1.66 2.88 0. 0. 0.94
time (sec) N/A 0.587 0.303 0.014 0.736 0.287 0. 0.308 85.596
Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 276 276 112 495 328 514 0 1 255
normalized size 1 1. 0.41 1.79 1.19 1.86 0. 0. 0.92
time (sec) N/A 0.399 0.18 0.012 0.713 0.284 0. 0.285 61.77
Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 153 153 65 131 101 127 0 396 138
normalized size 1 1. 0.42 0.86 0.66 0.83 0. 2.59 0.9
time (sec) N/A 0.221 0.103 0.007 0.719 0.286 0. 0.27 34.64
Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 134 134 78 0 0 0 0 0 114
normalized size 1 1. 0.58 0. 0. 0. 0. 0. 0.85
time (sec) N/A 0.247 0.103 0.038 0. 0. 0. 0. 34.601
Problem 91 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 154 154 101 0 0 0 0 0 131
normalized size 1 1. 0.66 0. 0. 0. 0. 0. 0.85
time (sec) N/A 0.313 0.128 0.04 0. 0. 0. 0. 36.584
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 34 34 25 40 116 63 165 127 27
normalized size 1 1. 0.74 1.18 3.41 1.85 4.85 3.74 0.79
time (sec) N/A 0.022 0.015 0.003 0.718 0.286 37.524 0.271 7.221
Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-2) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 86 45 62 182 124 0 281 70
normalized size 1 1. 0.52 0.72 2.12 1.44 0. 3.27 0.81
time (sec) N/A 0.211 0.035 0.007 0.721 0.284 0. 0.271 27.941
Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-2) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 128 128 68 99 265 189 0 474 114
normalized size 1 1. 0.53 0.77 2.07 1.48 0. 3.7 0.89
time (sec) N/A 0.288 0.052 0.009 0.718 0.278 0. 0.27 43.169
Problem 95 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 166 166 166 226 224 1 202 261 0
normalized size 1 1. 1. 1.36 1.35 0.01 1.22 1.57 0.
time (sec) N/A 0.775 0.084 0.001 0.703 0.245 0.194 0.263 0.
Problem 96 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 166 166 166 226 224 1 204 261 178
normalized size 1 1. 1. 1.36 1.35 0.01 1.23 1.57 1.07
time (sec) N/A 0.367 0.094 0.002 0.696 0.233 0.201 0.263 51.437
Problem 97 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 166 166 154 226 224 1 199 261 0
normalized size 1 1. 0.93 1.36 1.35 0.01 1.2 1.57 0.
time (sec) N/A 0.65 0.136 0.001 0.696 0.228 0.187 0.263 0.
Problem 98 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 161 161 161 223 220 1 199 255 0
normalized size 1 1. 1. 1.39 1.37 0.01 1.24 1.58 0.
time (sec) N/A 0.303 0.09 0.001 0.713 0.24 0.187 0.262 0.
Problem 99 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 162 162 162 191 225 221 199 261 0
normalized size 1 1. 1. 1.18 1.39 1.36 1.23 1.61 0.
time (sec) N/A 0.44 0.123 0.004 0.703 0.255 1.732 0.265 0.
Problem 100 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 156 156 156 186 219 227 185 250 0
normalized size 1 1. 1. 1.19 1.4 1.46 1.19 1.6 0.
time (sec) N/A 0.278 0.161 0.006 0.7 0.241 1.738 0.262 0.
Problem 101 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 162 162 162 190 225 230 197 286 0
normalized size 1 1. 1. 1.17 1.39 1.42 1.22 1.77 0.
time (sec) N/A 0.508 0.178 0.01 0.705 0.246 2.099 0.268 0.
Problem 102 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 133 133 126 261 0 1 619 170 0
normalized size 1 1. 0.95 1.96 0. 0.01 4.65 1.28 0.
time (sec) N/A 0.432 0.102 0.008 0. 0.28 24.859 0.295 0.
Problem 103 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 97 97 93 175 0 1 434 123 0
normalized size 1 1. 0.96 1.8 0. 0.01 4.47 1.27 0.
time (sec) N/A 0.259 0.123 0.005 0. 0.273 15.728 0.292 0.
Problem 104 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 71 71 71 98 0 1 287 90 63
normalized size 1 1. 1. 1.38 0. 0.01 4.04 1.27 0.89
time (sec) N/A 0.16 0.08 0.004 0. 0.272 7.682 0.292 23.239
Problem 105 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 78 78 128 105 0 1 330 105 73
normalized size 1 1. 1.64 1.35 0. 0.01 4.23 1.35 0.94
time (sec) N/A 0.277 0.18 0.009 0. 0.318 133.358 0.289 35.578
Problem 106 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 112 112 186 191 0 1 0 167 105
normalized size 1 1. 1.66 1.71 0. 0.01 0. 1.49 0.94
time (sec) N/A 0.457 0.424 0.013 0. 0.472 0. 0.29 51.711
Problem 107 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 261 261 327 825 0 6939 709 1 267
normalized size 1 1. 1.25 3.16 0. 26.59 2.72 0. 1.02
time (sec) N/A 2.705 0.797 0.038 0. 1.37 81.888 1.302 119.699
Problem 108 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 208 208 251 560 0 3553 428 1 214
normalized size 1 1. 1.21 2.69 0. 17.08 2.06 0. 1.03
time (sec) N/A 1.095 0.31 0.03 0. 0.454 32.171 1.21 67.239
Problem 109 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 172 172 173 328 0 2118 314 1 185
normalized size 1 1. 1.01 1.91 0. 12.31 1.83 0.01 1.08
time (sec) N/A 0.416 0.168 0.024 0. 0.374 15.378 0.815 36.183
Problem 110 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 189 189 206 353 0 3934 490 1 194
normalized size 1 1. 1.09 1.87 0. 20.81 2.59 0.01 1.03
time (sec) N/A 0.761 0.521 0.028 0. 0.507 36.276 0.884 64.017
Problem 111 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 271 271 267 611 0 7347 774 1 236
normalized size 1 1. 0.99 2.25 0. 27.11 2.86 0. 0.87
time (sec) N/A 1.323 0.674 0.034 0. 1.404 90.055 1.259 111.36
Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 212 212 208 1058 0 1 1266 0 0
normalized size 1 1. 0.98 4.99 0. 0. 5.97 0. 0.
time (sec) N/A 0.762 0.526 0.026 0. 0.351 103.608 0. 0.
Problem 113 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 147 147 160 542 0 1 916 0 138
normalized size 1 1. 1.09 3.69 0. 0.01 6.23 0. 0.94
time (sec) N/A 0.372 0.337 0.022 0. 0.284 54.662 0. 49.55
Problem 114 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 107 107 111 158 0 1 394 0 78
normalized size 1 1. 1.04 1.48 0. 0.01 3.68 0. 0.73
time (sec) N/A 0.262 0.14 0.014 0. 0.286 20.585 0. 27.153
Problem 115 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 94 94 101 127 0 1 374 0 83
normalized size 1 1. 1.07 1.35 0. 0.01 3.98 0. 0.88
time (sec) N/A 0.184 0.144 0.008 0. 0.291 12.211 0. 22.594
Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 150 150 243 578 0 1 0 0 146
normalized size 1 1. 1.62 3.85 0. 0.01 0. 0. 0.97
time (sec) N/A 0.649 0.624 0.024 0. 0.764 0. 0. 71.319
Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 223 223 379 991 0 1 0 0 221
normalized size 1 1. 1.7 4.44 0. 0. 0. 0. 0.99
time (sec) N/A 0.857 1.066 0.031 0. 1.665 0. 0. 169.834
Problem 118 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 425 425 455 4263 0 9790 0 0 0
normalized size 1 1. 1.07 10.03 0. 23.04 0. 0. 0.
time (sec) N/A 7.939 2.379 0.087 0. 3.709 0. 0. 0.
Problem 119 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 336 336 362 4009 0 6288 1129 0 330
normalized size 1 1. 1.08 11.93 0. 18.71 3.36 0. 0.98
time (sec) N/A 3.343 1.688 0.082 0. 1.186 151.981 0. 127.181
Problem 120 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 276 276 298 2995 0 4680 923 0 264
normalized size 1 1. 1.08 10.85 0. 16.96 3.34 0. 0.96
time (sec) N/A 1.065 1.202 0.059 0. 0.671 79.67 0. 172.384
Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A A F(-2) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 294 294 304 1761 0 6595 1180 0 0
normalized size 1 1. 1.03 5.99 0. 22.43 4.01 0. 0.
time (sec) N/A 1.729 1.472 0.095 0. 1.599 142.926 0. 0.
Problem 122 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 389 389 382 3752 0 10237 0 0 0
normalized size 1 1. 0.98 9.65 0. 26.32 0. 0. 0.
time (sec) N/A 2.443 2.037 0.073 0. 4.258 0. 0. 0.
Problem 123 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 522 522 487 4401 0 13757 0 0 0
normalized size 1 1. 0.93 8.43 0. 26.35 0. 0. 0.
time (sec) N/A 2.927 2.403 0.083 0. 10.356 0. 0. 0.
Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 365 365 435 2916 0 1 0 807 0
normalized size 1 1. 1.19 7.99 0. 0. 0. 2.21 0.
time (sec) N/A 2.714 1.384 0.034 0. 0.605 0. 15.976 0.
Problem 125 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 254 254 354 1274 0 1 0 629 252
normalized size 1 1. 1.39 5.02 0. 0. 0. 2.48 0.99
time (sec) N/A 0.802 0.866 0.034 0. 0.433 0. 15.75 94.604
Problem 126 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 146 146 261 398 0 1 0 429 138
normalized size 1 1. 1.79 2.73 0. 0.01 0. 2.94 0.95
time (sec) N/A 0.309 0.475 0.022 0. 0.266 0. 15.977 38.493
Problem 127 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 185 185 233 411 0 1 833 362 153
normalized size 1 1. 1.26 2.22 0. 0.01 4.5 1.96 0.83
time (sec) N/A 0.543 0.429 0.022 0. 0.306 172.415 15.973 49.873
Problem 128 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 170 170 172 379 0 1 789 308 160
normalized size 1 1. 1.01 2.23 0. 0.01 4.64 1.81 0.94
time (sec) N/A 0.362 0.406 0.021 0. 0.298 85.159 15.728 46.902
Problem 129 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 139 139 142 262 0 1 661 281 131
normalized size 1 1. 1.02 1.88 0. 0.01 4.76 2.02 0.94
time (sec) N/A 0.244 0.235 0.012 0. 0.268 50.162 15.953 30.05
Problem 130 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 252 252 396 1645 0 1 0 568 257
normalized size 1 1. 1.57 6.53 0. 0. 0. 2.25 1.02
time (sec) N/A 1.061 1.161 0.033 0. 2.717 0. 15.965 137.877
Problem 131 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 363 363 642 2724 0 1 0 875 0
normalized size 1 1. 1.77 7.5 0. 0. 0. 2.41 0.
time (sec) N/A 1.519 2.979 0.045 0. 6.151 0. 15.732 0.
Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 554 554 644 10352 0 13009 0 1 0
normalized size 1 1. 1.16 18.69 0. 23.48 0. 0. 0.
time (sec) N/A 21.581 5.23 0.128 0. 9.199 0. 44.913 0.
Problem 133 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 461 461 543 9168 0 9531 0 0 0
normalized size 1 1. 1.18 19.89 0. 20.67 0. 0. 0.
time (sec) N/A 9.646 4.391 0.104 0. 3.004 0. 0. 0.
Problem 134 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 380 380 447 7611 0 7628 0 1 408
normalized size 1 1. 1.18 20.03 0. 20.07 0. 0. 1.07
time (sec) N/A 2.68 3.375 0.102 0. 2.092 0. 37.053 153.902
Problem 135 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 438 438 436 8433 0 9815 0 0 0
normalized size 1 1. 1. 19.25 0. 22.41 0. 0. 0.
time (sec) N/A 2.127 2.893 0.202 0. 3.937 0. 0. 0.
Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 461 461 516 11936 0 13377 0 1 0
normalized size 1 1. 1.12 25.89 0. 29.02 0. 0. 0.
time (sec) N/A 2.857 4.421 0.286 0. 10.218 0. 39.469 0.
Problem 137 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 18 23 23 17 26 17
normalized size 1 1. 1. 0.72 0.92 0.92 0.68 1.04 0.68
time (sec) N/A 0.051 0.01 0.009 0.702 0.253 0.232 0.29 11.855
Problem 138 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 18 34 23 17 26 17
normalized size 1 1. 1. 0.72 1.36 0.92 0.68 1.04 0.68
time (sec) N/A 0.052 0.008 0.008 0.697 0.251 0.218 0.272 13.583
Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 37 31 41 41 37 41 34
normalized size 1 1. 1. 0.84 1.11 1.11 1. 1.11 0.92
time (sec) N/A 0.073 0.016 0.004 0.785 0.254 0.249 0.273 11.276
Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 37 31 72 41 37 41 34
normalized size 1 1. 1. 0.84 1.95 1.11 1. 1.11 0.92
time (sec) N/A 0.07 0.009 0.003 0.796 0.25 0.225 0.272 11.905
Problem 141 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 45 45 45 41 51 70 44 51 41
normalized size 1 1. 1. 0.91 1.13 1.56 0.98 1.13 0.91
time (sec) N/A 0.091 0.047 0.011 0.825 0.281 0.377 0.271 13.923
Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 102 102 69 91 140 360 0 90 95
normalized size 1 1. 0.68 0.89 1.37 3.53 0. 0.88 0.93
time (sec) N/A 0.205 0.053 0.033 0.768 0.26 0. 0.28 19.887
Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 81 81 64 74 117 306 0 81 73
normalized size 1 1. 0.79 0.91 1.44 3.78 0. 1. 0.9
time (sec) N/A 0.141 0.038 0.021 0.734 0.276 0. 0.276 14.819
Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 61 57 95 252 0 72 65
normalized size 1 1. 0.82 0.77 1.28 3.41 0. 0.97 0.88
time (sec) N/A 0.102 0.038 0.016 0.731 0.262 0. 0.275 12.07
Problem 145 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 94 94 100 85 120 356 0 0 82
normalized size 1 1. 1.06 0.9 1.28 3.79 0. 0. 0.87
time (sec) N/A 0.2 0.127 0.018 0.859 0.266 0. 0. 21.185
Problem 146 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 97 97 96 104 120 419 0 0 88
normalized size 1 1. 0.99 1.07 1.24 4.32 0. 0. 0.91
time (sec) N/A 0.208 0.131 0.022 0.833 0.28 0. 0. 21.116
Problem 147 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 99 99 102 121 143 405 0 0 88
normalized size 1 1. 1.03 1.22 1.44 4.09 0. 0. 0.89
time (sec) N/A 0.207 0.157 0.022 0.819 0.27 0. 0. 20.953
Problem 148 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 90 90 79 118 134 362 0 0 80
normalized size 1 1. 0.88 1.31 1.49 4.02 0. 0. 0.89
time (sec) N/A 0.163 0.101 0.02 0.807 0.275 0. 0. 18.302
Problem 149 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 111 111 87 135 157 413 0 0 102
normalized size 1 1. 0.78 1.22 1.41 3.72 0. 0. 0.92
time (sec) N/A 0.216 0.086 0.023 0.835 0.274 0. 0. 22.835
Problem 150 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 132 132 89 152 180 470 0 0 121
normalized size 1 1. 0.67 1.15 1.36 3.56 0. 0. 0.92
time (sec) N/A 0.269 0.124 0.025 0.815 0.275 0. 0. 27.37
Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 322 322 237 260 0 0 0 0 301
normalized size 1 1. 0.74 0.81 0. 0. 0. 0. 0.93
time (sec) N/A 0.603 0.551 0.3 0. 0. 0. 0. 42.963
Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 305 305 234 243 0 0 0 0 280
normalized size 1 1. 0.77 0.8 0. 0. 0. 0. 0.92
time (sec) N/A 0.465 0.523 0.019 0. 0. 0. 0. 37.894
Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 279 279 229 226 0 0 0 0 258
normalized size 1 1. 0.82 0.81 0. 0. 0. 0. 0.92
time (sec) N/A 0.285 0.516 0.016 0. 0. 0. 0. 23.464
Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 284 284 231 225 0 0 0 0 260
normalized size 1 1. 0.81 0.79 0. 0. 0. 0. 0.92
time (sec) N/A 0.297 0.529 0.025 0. 0. 0. 0. 25.257
Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 305 305 237 228 0 0 0 0 280
normalized size 1 1. 0.78 0.75 0. 0. 0. 0. 0.92
time (sec) N/A 0.378 0.55 0.025 0. 0. 0. 0. 32.629
Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 127 127 79 138 182 468 0 109 119
normalized size 1 1. 0.62 1.09 1.43 3.69 0. 0.86 0.94
time (sec) N/A 0.23 0.067 0.047 0.74 0.262 0. 0.282 21.194
Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 106 106 74 121 159 414 0 100 97
normalized size 1 1. 0.7 1.14 1.5 3.91 0. 0.94 0.92
time (sec) N/A 0.167 0.062 0.023 0.743 0.254 0. 0.276 15.594
Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 99 99 69 104 136 360 0 90 90
normalized size 1 1. 0.7 1.05 1.37 3.64 0. 0.91 0.91
time (sec) N/A 0.127 0.046 0.019 0.723 0.283 0. 0.276 12.871
Problem 159 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 119 119 107 117 162 491 0 0 110
normalized size 1 1. 0.9 0.98 1.36 4.13 0. 0. 0.92
time (sec) N/A 0.256 0.139 0.022 0.819 0.266 0. 0. 27.012
Problem 160 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 122 122 107 117 162 524 0 0 110
normalized size 1 1. 0.88 0.96 1.33 4.3 0. 0. 0.9
time (sec) N/A 0.266 0.161 0.025 0.82 0.279 0. 0. 26.5
Problem 161 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 127 127 110 117 185 524 0 0 116
normalized size 1 1. 0.87 0.92 1.46 4.13 0. 0. 0.91
time (sec) N/A 0.267 0.231 0.027 0.819 0.273 0. 0. 26.616
Problem 162 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 127 127 112 117 208 554 0 0 114
normalized size 1 1. 0.88 0.92 1.64 4.36 0. 0. 0.9
time (sec) N/A 0.263 0.193 0.026 0.827 0.273 0. 0. 26.639
Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 356 356 249 294 0 0 0 0 326
normalized size 1 1. 0.7 0.83 0. 0. 0. 0. 0.92
time (sec) N/A 0.643 0.655 0.027 0. 0. 0. 0. 50.582
Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 331 331 244 277 0 0 0 0 306
normalized size 1 1. 0.74 0.84 0. 0. 0. 0. 0.92
time (sec) N/A 0.535 0.557 0.021 0. 0. 0. 0. 47.355
Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 308 308 239 260 0 0 0 0 284
normalized size 1 1. 0.78 0.84 0. 0. 0. 0. 0.92
time (sec) N/A 0.346 0.501 0.017 0. 0. 0. 0. 29.493
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 NO TBD TBD TBD TBD TBD TBD
size 312 312 235 260 0 0 0 0 284
normalized size 1 1. 0.75 0.83 0. 0. 0. 0. 0.91
time (sec) N/A 0.357 0.559 0.024 0. 0. 0. 0. 31.223
Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 314 314 247 260 0 0 0 0 286
normalized size 1 1. 0.79 0.83 0. 0. 0. 0. 0.91
time (sec) N/A 0.4 0.566 0.025 0. 0. 0. 0. 33.158
Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 331 331 244 259 0 0 0 0 306
normalized size 1 1. 0.74 0.78 0. 0. 0. 0. 0.92
time (sec) N/A 0.494 0.605 0.028 0. 0. 0. 0. 39.894
Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 153 153 137 286 0 1 0 203 153
normalized size 1 1. 0.9 1.87 0. 0.01 0. 1.33 1.
time (sec) N/A 0.507 0.163 0.015 0. 0.359 0. 0.306 35.478
Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 100 100 99 176 0 1 0 132 97
normalized size 1 1. 0.99 1.76 0. 0.01 0. 1.32 0.97
time (sec) N/A 0.253 0.106 0.012 0. 0.342 0. 0.296 21.57
Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 76 76 75 93 0 1 0 93 66
normalized size 1 1. 0.99 1.22 0. 0.01 0. 1.22 0.87
time (sec) N/A 0.161 0.064 0.009 0. 0.314 0. 0.296 17.407
Problem 172 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 90 90 96 76 0 1 0 0 80
normalized size 1 1. 1.07 0.84 0. 0.01 0. 0. 0.89
time (sec) N/A 0.248 0.3 0.009 0. 0.371 0. 0. 23.153
Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 80 80 87 104 0 1 0 0 70
normalized size 1 1. 1.09 1.3 0. 0.01 0. 0. 0.88
time (sec) N/A 0.232 0.222 0.013 0. 0.322 0. 0. 21.861
Problem 174 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 124 124 112 194 0 1 0 0 114
normalized size 1 1. 0.9 1.56 0. 0.01 0. 0. 0.92
time (sec) N/A 0.382 0.196 0.014 0. 0.347 0. 0. 34.623
Problem 175 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 177 177 146 311 0 1 0 0 172
normalized size 1 1. 0.82 1.76 0. 0.01 0. 0. 0.97
time (sec) N/A 0.6 0.266 0.016 0. 0.358 0. 0. 54.457
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 NO Yes TBD TBD TBD TBD TBD TBD
size 403 403 532 815 0 0 0 0 381
normalized size 1 1. 1.32 2.02 0. 0. 0. 0. 0.95
time (sec) N/A 0.671 3.772 0.012 0. 0. 0. 0. 78.283
Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 336 336 479 607 0 0 0 0 308
normalized size 1 1. 1.43 1.81 0. 0. 0. 0. 0.92
time (sec) N/A 0.393 2.405 0.01 0. 0. 0. 0. 51.819
Problem 178 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 0.225 0.395 0.007 0. 0. 0. 0. 33.415
Problem 179 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 312 312 448 386 0 0 0 0 279
normalized size 1 1. 1.44 1.24 0. 0. 0. 0. 0.89
time (sec) N/A 0.344 1.835 0.012 0. 0. 0. 0. 50.283
Problem 180 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 376 376 373 656 0 0 0 0 345
normalized size 1 1. 0.99 1.74 0. 0. 0. 0. 0.92
time (sec) N/A 0.564 1.164 0.013 0. 0. 0. 0. 74.28
Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 98 98 64 87 122 306 0 81 92
normalized size 1 1. 0.65 0.89 1.24 3.12 0. 0.83 0.94
time (sec) N/A 0.248 0.053 0.027 0.707 0.273 0. 0.282 26.061
Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 61 70 99 252 0 72 70
normalized size 1 1. 0.79 0.91 1.29 3.27 0. 0.94 0.91
time (sec) N/A 0.184 0.041 0.017 0.703 0.267 0. 0.283 19.491
Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 56 56 54 53 76 198 0 62 49
normalized size 1 1. 0.96 0.95 1.36 3.54 0. 1.11 0.88
time (sec) N/A 0.124 0.025 0.017 0.703 0.271 0. 0.277 14.491
Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 47 36 53 139 0 53 42
normalized size 1 1. 0.96 0.73 1.08 2.84 0. 1.08 0.86
time (sec) N/A 0.081 0.021 0.015 0.698 0.266 0. 0.277 12.229
Problem 185 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 69 69 78 52 78 151 0 0 61
normalized size 1 1. 1.13 0.75 1.13 2.19 0. 0. 0.88
time (sec) N/A 0.146 0.112 0.016 0.78 0.281 0. 0. 16.805
Problem 186 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 62 62 67 49 69 239 0 0 56
normalized size 1 1. 1.08 0.79 1.11 3.85 0. 0. 0.9
time (sec) N/A 0.135 0.067 0.021 0.771 0.268 0. 0. 16.268
Problem 187 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 83 83 72 66 92 290 0 0 71
normalized size 1 1. 0.87 0.8 1.11 3.49 0. 0. 0.86
time (sec) N/A 0.187 0.09 0.019 0.78 0.268 0. 0. 20.341
Problem 188 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 104 104 83 83 115 359 0 0 94
normalized size 1 1. 0.8 0.8 1.11 3.45 0. 0. 0.9
time (sec) N/A 0.238 0.094 0.019 0.783 0.264 0. 0. 24.956
Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 298 298 229 226 0 0 0 0 275
normalized size 1 1. 0.77 0.76 0. 0. 0. 0. 0.92
time (sec) N/A 0.484 0.528 0.026 0. 0. 0. 0. 34.415
Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 270 270 222 208 0 0 0 0 248
normalized size 1 1. 0.82 0.77 0. 0. 0. 0. 0.92
time (sec) N/A 0.333 0.494 0.019 0. 0. 0. 0. 26.412
Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 257 257 159 194 0 0 0 0 233
normalized size 1 1. 0.62 0.75 0. 0. 0. 0. 0.91
time (sec) N/A 0.211 0.181 0.016 0. 0. 0. 0. 16.691
Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 278 278 224 211 0 0 0 0 250
normalized size 1 1. 0.81 0.76 0. 0. 0. 0. 0.9
time (sec) N/A 0.302 0.535 0.024 0. 0. 0. 0. 24.146
Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 302 302 237 228 0 0 0 0 274
normalized size 1 1. 0.78 0.75 0. 0. 0. 0. 0.91
time (sec) N/A 0.404 0.549 0.027 0. 0. 0. 0. 32.129
Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 59 91 99 225 0 70 68
normalized size 1 1. 0.77 1.18 1.29 2.92 0. 0.91 0.88
time (sec) N/A 0.165 0.054 0.029 0.696 0.263 0. 0.288 18.58
Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 56 56 54 95 76 155 0 62 48
normalized size 1 1. 0.96 1.7 1.36 2.77 0. 1.11 0.86
time (sec) N/A 0.119 0.036 0.017 0.707 0.27 0. 0.283 14.386
Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 22 43 77 0 28 20
normalized size 1 1. 1. 0.88 1.72 3.08 0. 1.12 0.8
time (sec) N/A 0.064 0.022 0.007 0.706 0.282 0. 0.282 10.831
Problem 197 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 66 66 71 67 88 248 0 0 58
normalized size 1 1. 1.08 1.02 1.33 3.76 0. 0. 0.88
time (sec) N/A 0.149 0.128 0.027 0.774 0.269 0. 0. 17.702
Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 90 90 79 84 111 333 0 0 80
normalized size 1 1. 0.88 0.93 1.23 3.7 0. 0. 0.89
time (sec) N/A 0.202 0.091 0.023 0.781 0.283 0. 0. 20.911
Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 307 307 219 240 0 0 0 0 280
normalized size 1 1. 0.71 0.78 0. 0. 0. 0. 0.91
time (sec) N/A 0.419 0.495 0.033 0. 0. 0. 0. 34.783
Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 286 286 219 240 0 0 0 0 260
normalized size 1 1. 0.77 0.84 0. 0. 0. 0. 0.91
time (sec) N/A 0.318 0.495 0.022 0. 0. 0. 0. 27.73
Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 282 282 219 240 0 0 0 0 260
normalized size 1 1. 0.78 0.85 0. 0. 0. 0. 0.92
time (sec) N/A 0.266 0.492 0.021 0. 0. 0. 0. 23.357
Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 309 309 228 257 0 0 0 0 279
normalized size 1 1. 0.74 0.83 0. 0. 0. 0. 0.9
time (sec) N/A 0.401 0.538 0.029 0. 0. 0. 0. 33.101
Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 326 326 234 274 0 0 0 0 301
normalized size 1 1. 0.72 0.84 0. 0. 0. 0. 0.92
time (sec) N/A 0.507 0.552 0.031 0. 0. 0. 0. 40.213
Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 297 297 2835 0 0 0 0 0 269
normalized size 1 1. 9.55 0. 0. 0. 0. 0. 0.91
time (sec) N/A 1.123 7.466 0.073 0. 0. 0. 0. 80.841
Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 297 297 1717 0 0 0 0 0 269
normalized size 1 1. 5.78 0. 0. 0. 0. 0. 0.91
time (sec) N/A 0.999 4.835 0.062 0. 0. 0. 0. 79.755
Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 295 295 1717 0 0 0 0 0 267
normalized size 1 1. 5.82 0. 0. 0. 0. 0. 0.91
time (sec) N/A 0.995 4.939 0.059 0. 0. 0. 0. 79.883
Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 295 295 1383 0 0 0 0 0 269
normalized size 1 1. 4.69 0. 0. 0. 0. 0. 0.91
time (sec) N/A 0.999 2.74 0.064 0. 0. 0. 0. 80.816
Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F(-1) A A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 299 299 4499 0 0 0 0 1 272
normalized size 1 1. 15.05 0. 0. 0. 0. 0. 0.91
time (sec) N/A 1.005 6.168 0.058 0. 0. 0. 0.797 91.962
Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F A A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 299 299 3656 0 0 0 0 1 272
normalized size 1 1. 12.23 0. 0. 0. 0. 0. 0.91
time (sec) N/A 1.009 6.151 0.056 0. 0. 0. 0.755 91.888
Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F A A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 297 297 3656 0 0 0 0 1 270
normalized size 1 1. 12.31 0. 0. 0. 0. 0. 0.91
time (sec) N/A 1.014 6.143 0.059 0. 0. 0. 0.692 90.851
Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 297 297 2839 0 0 0 0 0 272
normalized size 1 1. 9.56 0. 0. 0. 0. 0. 0.92
time (sec) N/A 1.028 6.144 0.067 0. 0. 0. 0. 91.834
Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 297 297 1037 0 0 0 0 0 265
normalized size 1 1. 3.49 0. 0. 0. 0. 0. 0.89
time (sec) N/A 1.001 2.29 0.053 0. 0. 0. 0. 81.53
Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 297 297 642 0 0 0 0 0 265
normalized size 1 1. 2.16 0. 0. 0. 0. 0. 0.89
time (sec) N/A 1.014 0.797 0.029 0. 0. 0. 0. 82.859
Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 295 295 642 0 0 0 0 0 264
normalized size 1 1. 2.18 0. 0. 0. 0. 0. 0.89
time (sec) N/A 1.009 1.002 0.035 0. 0. 0. 0. 83.208
Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 295 295 1049 0 0 0 0 0 265
normalized size 1 1. 3.56 0. 0. 0. 0. 0. 0.9
time (sec) N/A 1.017 1.653 0.062 0. 0. 0. 0. 82.709
Problem 216 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 303 303 1404 0 0 0 0 0 269
normalized size 1 1. 4.63 0. 0. 0. 0. 0. 0.89
time (sec) N/A 1.029 3.769 0.037 0. 0. 0. 0. 102.03
Problem 217 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 303 303 1740 0 0 0 0 0 269
normalized size 1 1. 5.74 0. 0. 0. 0. 0. 0.89
time (sec) N/A 1.004 4.525 0.032 0. 0. 0. 0. 101.061
Problem 218 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 301 301 1740 0 0 0 0 0 267
normalized size 1 1. 5.78 0. 0. 0. 0. 0. 0.89
time (sec) N/A 1.006 3.966 0.051 0. 0. 0. 0. 99.151
Problem 219 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 301 301 2959 0 0 0 0 0 269
normalized size 1 1. 9.83 0. 0. 0. 0. 0. 0.89
time (sec) N/A 1.019 6.188 0.082 0. 0. 0. 0. 99.432
Problem 220 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 243 243 191 1935 0 1832 11538 1 238
normalized size 1 1. 0.79 7.96 0. 7.54 47.48 0. 0.98
time (sec) N/A 0.4 0.529 0.013 0. 0.315 39.984 0.293 72.137
Problem 221 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 155 155 117 783 0 774 4190 1 146
normalized size 1 1. 0.75 5.05 0. 4.99 27.03 0.01 0.94
time (sec) N/A 0.237 0.244 0.011 0. 0.313 16.854 0.277 43.503
Problem 222 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 83 83 59 221 0 231 1056 537 71
normalized size 1 1. 0.71 2.66 0. 2.78 12.72 6.47 0.86
time (sec) N/A 0.113 0.081 0.006 0. 0.268 5.424 0.276 21.12
Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 194 194 316 0 0 0 0 0 185
normalized size 1 1. 1.63 0. 0. 0. 0. 0. 0.95
time (sec) N/A 0.628 0.475 0.04 0. 0. 0. 0. 48.509
Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C F F F F(-1) F(-2) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 392 358 692 0 0 0 0 0 0
normalized size 1 0.91 1.77 0. 0. 0. 0. 0. 0.
time (sec) N/A 5.094 1.939 0.037 0. 0. 0. 0. 0.
Problem 225 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 319 319 2559 0 0 0 0 0 286
normalized size 1 1. 8.02 0. 0. 0. 0. 0. 0.9
time (sec) N/A 1.106 5.373 0.015 0. 0. 0. 0. 94.899
Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 317 317 755 0 0 0 0 0 282
normalized size 1 1. 2.38 0. 0. 0. 0. 0. 0.89
time (sec) N/A 1.064 0.563 0.015 0. 0. 0. 0. 82.534
Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 317 317 728 0 0 0 0 0 279
normalized size 1 1. 2.3 0. 0. 0. 0. 0. 0.88
time (sec) N/A 1.061 2.67 0.019 0. 0. 0. 0. 86.83
Problem 228 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 323 323 728 0 0 0 0 0 282
normalized size 1 1. 2.25 0. 0. 0. 0. 0. 0.87
time (sec) N/A 1.085 3.028 0.016 0. 0. 0. 0. 111.897
Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 134 134 134 122 0 1 0 163 0
normalized size 1 1. 1. 0.91 0. 0.01 0. 1.22 0.
time (sec) N/A 0.322 0.107 0.016 0. 5.198 0. 0.276 0.
Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 118 118 99 108 0 1 0 142 0
normalized size 1 1. 0.84 0.92 0. 0.01 0. 1.2 0.
time (sec) N/A 0.278 0.16 0.012 0. 1.836 0. 0.274 0.
Problem 231 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 105 105 77 92 0 1 0 122 88
normalized size 1 1. 0.73 0.88 0. 0.01 0. 1.16 0.84
time (sec) N/A 0.251 0.058 0.01 0. 1.082 0. 0.276 35.602
Problem 232 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 96 96 66 83 0 1 0 116 85
normalized size 1 1. 0.69 0.86 0. 0.01 0. 1.21 0.89
time (sec) N/A 0.198 0.066 0.009 0. 0.444 0. 0.275 27.189
Problem 233 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 96 96 67 83 0 1 0 115 85
normalized size 1 1. 0.7 0.86 0. 0.01 0. 1.2 0.89
time (sec) N/A 0.139 0.06 0.009 0. 0.555 0. 0.275 25.002
Problem 234 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 114 114 134 101 0 1 0 138 99
normalized size 1 1. 1.18 0.89 0. 0.01 0. 1.21 0.87
time (sec) N/A 0.263 0.118 0.014 0. 7.646 0. 0.274 43.954
Problem 235 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 129 129 169 119 0 1 0 178 114
normalized size 1 1. 1.31 0.92 0. 0.01 0. 1.38 0.88
time (sec) N/A 0.307 0.175 0.016 0. 39.863 0. 0.276 45.033
Problem 236 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 156 156 209 145 0 1 0 227 139
normalized size 1 1. 1.34 0.93 0. 0.01 0. 1.46 0.89
time (sec) N/A 0.374 0.161 0.017 0. 87.552 0. 0.277 54.421
Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 359 359 344 405 0 1 0 490 0
normalized size 1 1. 0.96 1.13 0. 0. 0. 1.36 0.
time (sec) N/A 0.654 0.865 0.014 0. 8.756 0. 0.283 0.
Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 345 345 373 387 0 1 0 450 0
normalized size 1 1. 1.08 1.12 0. 0. 0. 1.3 0.
time (sec) N/A 0.577 0.474 0.011 0. 1.458 0. 0.282 0.
Problem 239 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 336 336 233 363 0 1 0 441 304
normalized size 1 1. 0.69 1.08 0. 0. 0. 1.31 0.9
time (sec) N/A 0.535 0.364 0.01 0. 0.514 0. 0.281 100.285
Problem 240 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 337 337 232 351 0 1 0 454 304
normalized size 1 1. 0.69 1.04 0. 0. 0. 1.35 0.9
time (sec) N/A 0.519 0.266 0.01 0. 0.323 0. 0.282 91.733
Problem 241 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 0.495 0.316 0.003 0. 0.853 0. 0.282 95.347
Problem 242 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 348 348 389 390 0 1 0 470 311
normalized size 1 1. 1.12 1.12 0. 0. 0. 1.35 0.89
time (sec) N/A 0.58 0.458 0.013 0. 2.953 0. 0.281 109.165
Problem 243 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 360 360 367 406 0 1 0 491 323
normalized size 1 1. 1.02 1.13 0. 0. 0. 1.36 0.9
time (sec) N/A 0.602 0.997 0.017 0. 10.075 0. 0.282 119.6
Problem 244 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 169 169 135 309 0 1 0 339 192
normalized size 1 1. 0.8 1.83 0. 0.01 0. 2.01 1.14
time (sec) N/A 0.631 0.366 0.033 0. 15.344 0. 0.277 67.401
Problem 245 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 150 150 142 262 0 1 0 301 170
normalized size 1 1. 0.95 1.75 0. 0.01 0. 2.01 1.13
time (sec) N/A 0.485 0.191 0.023 0. 7.11 0. 0.274 70.393
Problem 246 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 153 153 120 252 0 1 0 297 165
normalized size 1 1. 0.78 1.65 0. 0.01 0. 1.94 1.08
time (sec) N/A 0.483 0.274 0.023 0. 2.842 0. 0.276 55.587
Problem 247 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 148 148 114 247 0 1 0 254 129
normalized size 1 1. 0.77 1.67 0. 0.01 0. 1.72 0.87
time (sec) N/A 0.388 0.259 0.021 0. 2.82 0. 0.276 67.431
Problem 248 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 151 151 117 257 0 1 0 269 133
normalized size 1 1. 0.77 1.7 0. 0.01 0. 1.78 0.88
time (sec) N/A 0.363 0.249 0.023 0. 7.248 0. 0.276 58.776
Problem 249 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 209 209 241 309 0 1 0 377 189
normalized size 1 1. 1.15 1.48 0. 0. 0. 1.8 0.9
time (sec) N/A 0.485 0.321 0.029 0. 130.493 0. 0.277 74.112
Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-1) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 236 236 248 332 0 0 0 464 221
normalized size 1 1. 1.05 1.41 0. 0. 0. 1.97 0.94
time (sec) N/A 0.534 1.305 0.032 0. 0. 0. 0.276 76.223
Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-1) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 265 265 278 363 0 0 0 473 246
normalized size 1 1. 1.05 1.37 0. 0. 0. 1.78 0.93
time (sec) N/A 0.664 0.803 0.035 0. 0. 0. 0.278 96.419
Problem 252 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 712 712 431 873 0 1 0 784 0
normalized size 1 1. 0.61 1.23 0. 0. 0. 1.1 0.
time (sec) N/A 1.38 0.535 0.021 0. 15.962 0. 0.288 0.
Problem 253 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 687 687 428 852 0 1 0 803 631
normalized size 1 1. 0.62 1.24 0. 0. 0. 1.17 0.92
time (sec) N/A 1.196 0.629 0.02 0. 11.363 0. 0.287 161.664
Problem 254 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 685 685 423 848 0 1 0 791 632
normalized size 1 1. 0.62 1.24 0. 0. 0. 1.15 0.92
time (sec) N/A 1.15 0.487 0.019 0. 9.199 0. 0.286 163.398
Problem 255 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 685 685 428 852 0 1 0 814 638
normalized size 1 1. 0.62 1.24 0. 0. 0. 1.19 0.93
time (sec) N/A 1.096 0.494 0.02 0. 10.812 0. 0.287 160.217
Problem 256 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 1.139 0.523 0.002 0. 21.088 0. 0.286 171.294
Problem 257 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 745 745 499 911 0 1 0 863 0
normalized size 1 1. 0.67 1.22 0. 0. 0. 1.16 0.
time (sec) N/A 1.46 0.692 0.025 0. 46.78 0. 0.289 0.
Problem 258 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 751 751 513 932 0 1 0 848 0
normalized size 1 1. 0.68 1.24 0. 0. 0. 1.13 0.
time (sec) N/A 1.324 0.714 0.03 0. 106.225 0. 0.286 0.
Problem 259 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 243 243 121 164 0 1 0 211 182
normalized size 1 1. 0.5 0.67 0. 0. 0. 0.87 0.75
time (sec) N/A 0.398 0.138 0.016 0. 0.295 0. 0.277 27.609
Problem 260 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 108 108 56 51 68 68 0 85 75
normalized size 1 1. 0.52 0.47 0.63 0.63 0. 0.79 0.69
time (sec) N/A 0.28 0.058 0.006 0.709 0.27 0. 0.272 18.133
Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 178 178 98 122 0 1 0 147 0
normalized size 1 1. 0.55 0.69 0. 0.01 0. 0.83 0.
time (sec) N/A 0.19 0.084 0.01 0. 0.286 0. 0.277 0.
Problem 262 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 152 152 96 79 0 1 0 113 105
normalized size 1 1. 0.63 0.52 0. 0.01 0. 0.74 0.69
time (sec) N/A 0.305 0.114 0.01 0. 0.279 0. 0.276 20.097
Problem 263 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 177 177 93 128 0 1 0 157 128
normalized size 1 1. 0.53 0.72 0. 0.01 0. 0.89 0.72
time (sec) N/A 0.288 0.08 0.013 0. 0.289 0. 0.282 17.751
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 177 177 109 139 0 1 0 135 124
normalized size 1 1. 0.62 0.79 0. 0.01 0. 0.76 0.7
time (sec) N/A 0.363 0.111 0.015 0. 0.287 0. 0.277 22.799
Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 72 73 97 1 76 107 0
normalized size 1 1. 0.92 0.94 1.24 0.01 0.97 1.37 0.
time (sec) N/A 0.323 0.04 0.002 0.702 0.233 0.128 0.269 0.
Problem 266 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 78 78 78 73 97 1 82 107 75
normalized size 1 1. 1. 0.94 1.24 0.01 1.05 1.37 0.96
time (sec) N/A 0.166 0.027 0.001 0.702 0.229 0.131 0.267 23.864
Problem 267 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 75 75 72 73 97 1 76 107 0
normalized size 1 1. 0.96 0.97 1.29 0.01 1.01 1.43 0.
time (sec) N/A 0.287 0.04 0.001 0.694 0.23 0.131 0.268 0.
Problem 268 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 0.116 0.028 0. 0.7 0.246 0.127 0.269 0.
Problem 269 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 74 74 74 77 99 95 73 107 0
normalized size 1 1. 1. 1.04 1.34 1.28 0.99 1.45 0.
time (sec) N/A 0.194 0.039 0.004 0.7 0.252 1.262 0.269 0.
Problem 270 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 71 71 71 75 93 100 73 100 0
normalized size 1 1. 1. 1.06 1.31 1.41 1.03 1.41 0.
time (sec) N/A 0.125 0.056 0.006 0.7 0.245 1.255 0.267 0.
Problem 271 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 74 74 71 76 99 103 71 131 0
normalized size 1 1. 0.96 1.03 1.34 1.39 0.96 1.77 0.
time (sec) N/A 0.23 0.083 0.011 0.691 0.259 1.593 0.271 0.
Problem 272 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 181 181 165 214 0 1 313 216 158
normalized size 1 1. 0.91 1.18 0. 0.01 1.73 1.19 0.87
time (sec) N/A 0.505 0.265 0.015 0. 0.266 5.518 0.27 86.314
Problem 273 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 151 151 133 176 0 1 184 169 131
normalized size 1 1. 0.88 1.17 0. 0.01 1.22 1.12 0.87
time (sec) N/A 0.43 0.132 0.014 0. 0.277 5.121 0.27 64.152
Problem 274 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 122 122 102 141 0 1 160 123 95
normalized size 1 1. 0.84 1.16 0. 0.01 1.31 1.01 0.78
time (sec) N/A 0.334 0.115 0.013 0. 0.271 4.512 0.27 51.79
Problem 275 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 0.146 0.089 0. 0. 0.274 3.778 0.271 32.929
Problem 276 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 86 86 89 121 0 1 155 112 80
normalized size 1 1. 1.03 1.41 0. 0.01 1.8 1.3 0.93
time (sec) N/A 0.203 0.109 0.016 0. 0.267 5.076 0.271 25.027
Problem 277 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 106 106 105 146 0 1 167 127 95
normalized size 1 1. 0.99 1.38 0. 0.01 1.58 1.2 0.9
time (sec) N/A 0.294 0.103 0.018 0. 0.281 6.89 0.271 38.966
Problem 278 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 136 136 135 183 0 1 284 177 126
normalized size 1 1. 0.99 1.35 0. 0.01 2.09 1.3 0.93
time (sec) N/A 0.423 0.154 0.021 0. 0.274 9.701 0.27 66.28
Problem 279 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 167 167 166 221 0 1 328 221 158
normalized size 1 1. 0.99 1.32 0. 0.01 1.96 1.32 0.95
time (sec) N/A 0.585 0.166 0.023 0. 0.267 13.021 0.27 88.32
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 187 187 170 239 0 1 233 216 165
normalized size 1 1. 0.91 1.28 0. 0.01 1.25 1.16 0.88
time (sec) N/A 0.6 0.19 0.018 0. 0.268 15.891 0.272 129.758
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 158 158 141 202 0 1 211 169 134
normalized size 1 1. 0.89 1.28 0. 0.01 1.34 1.07 0.85
time (sec) N/A 0.477 0.162 0.016 0. 0.28 14.455 0.273 97.309
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 124 124 122 179 0 1 201 144 114
normalized size 1 1. 0.98 1.44 0. 0.01 1.62 1.16 0.92
time (sec) N/A 0.367 0.185 0.015 0. 0.269 11.183 0.272 54.623
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 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 0.206 0.168 0. 0. 0.278 6.638 0.272 34.075
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 124 124 124 182 0 1 202 149 116
normalized size 1 1. 1. 1.47 0. 0.01 1.63 1.2 0.94
time (sec) N/A 0.35 0.256 0.018 0. 0.272 9.167 0.272 37.784
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 142 142 141 207 0 1 214 173 133
normalized size 1 1. 0.99 1.46 0. 0.01 1.51 1.22 0.94
time (sec) N/A 0.424 0.145 0.022 0. 0.278 12.595 0.272 62.88
Problem 286 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 171 171 173 245 0 1 330 221 0
normalized size 1 1. 1.01 1.43 0. 0.01 1.93 1.29 0.
time (sec) N/A 0.584 0.193 0.023 0. 0.273 18.27 0.272 0.
Problem 287 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 230 230 228 538 0 0 0 319 0
normalized size 1 1. 0.99 2.34 0. 0. 0. 1.39 0.
time (sec) N/A 0.926 0.41 0.019 0. 0. 0. 0.301 0.
Problem 288 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) F(-1) F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 189 189 186 408 0 0 0 262 0
normalized size 1 1. 0.98 2.16 0. 0. 0. 1.39 0.
time (sec) N/A 0.598 0.312 0.014 0. 0. 0. 0.302 0.
Problem 289 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 158 158 139 289 0 1 0 212 136
normalized size 1 1. 0.88 1.83 0. 0.01 0. 1.34 0.86
time (sec) N/A 0.468 0.179 0.012 0. 56.341 0. 0.302 66.387
Problem 290 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 132 132 114 176 0 1 0 180 124
normalized size 1 1. 0.86 1.33 0. 0.01 0. 1.36 0.94
time (sec) N/A 0.331 0.122 0.012 0. 18.297 0. 0.301 47.958
Problem 291 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 133 133 112 176 0 1 0 181 124
normalized size 1 1. 0.84 1.32 0. 0.01 0. 1.36 0.93
time (sec) N/A 0.251 0.115 0.011 0. 12.993 0. 0.302 47.282
Problem 292 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-1) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 167 167 242 298 0 0 0 232 148
normalized size 1 1. 1.45 1.78 0. 0. 0. 1.39 0.89
time (sec) N/A 0.571 0.592 0.016 0. 0. 0. 0.302 100.157
Problem 293 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) F(-1) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 205 205 331 430 0 0 0 320 194
normalized size 1 1. 1.61 2.1 0. 0. 0. 1.56 0.95
time (sec) N/A 0.787 0.574 0.021 0. 0. 0. 0.303 157.915
Problem 294 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 268 268 426 584 0 0 0 448 0
normalized size 1 1. 1.59 2.18 0. 0. 0. 1.67 0.
time (sec) N/A 1.069 0.795 0.028 0. 0. 0. 0.303 0.
Problem 295 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 387 387 463 1449 0 0 0 0 0
normalized size 1 1. 1.2 3.74 0. 0. 0. 0. 0.
time (sec) N/A 8.195 1.165 0.051 0. 0. 0. 0. 0.
Problem 296 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
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 323 323 385 1098 0 0 0 0 0
normalized size 1 1. 1.19 3.4 0. 0. 0. 0. 0.
time (sec) N/A 3.296 0.947 0.042 0. 0. 0. 0. 0.
Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 280 280 323 764 0 1 0 0 279
normalized size 1 1. 1.15 2.73 0. 0. 0. 0. 1.
time (sec) N/A 1.878 0.579 0.034 0. 3.772 0. 0. 113.205
Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 251 251 277 478 0 1 0 0 255
normalized size 1 1. 1.1 1.9 0. 0. 0. 0. 1.02
time (sec) N/A 0.871 0.993 0.028 0. 1.453 0. 0. 105.017
Problem 299 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 1.078 0.424 0.002 0. 0. 0. 0. 102.417
Problem 300 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 298 298 340 817 0 0 0 0 0
normalized size 1 1. 1.14 2.74 0. 0. 0. 0. 0.
time (sec) N/A 1.801 0.774 0.039 0. 0. 0. 0. 0.
Problem 301 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 348 348 410 1160 0 0 0 0 0
normalized size 1 1. 1.18 3.33 0. 0. 0. 0. 0.
time (sec) N/A 3.327 0.993 0.048 0. 0. 0. 0. 0.
Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F(-2) F(-1) F(-1) F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 866 866 267 336 0 0 0 0 0
normalized size 1 1. 0.31 0.39 0. 0. 0. 0. 0.
time (sec) N/A 4.775 0.514 0.103 0. 0. 0. 0. 0.
Problem 303 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) F(-1) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 272 272 301 1049 0 0 0 0 350
normalized size 1 1. 1.11 3.86 0. 0. 0. 0. 1.29
time (sec) N/A 1.167 1.021 0.03 0. 0. 0. 0. 104.923
Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 208 208 237 887 0 1 0 0 190
normalized size 1 1. 1.14 4.26 0. 0. 0. 0. 0.91
time (sec) N/A 0.713 0.558 0.015 0. 18.512 0. 0. 68.107
Problem 305 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 168 168 199 757 0 1 0 0 150
normalized size 1 1. 1.18 4.51 0. 0.01 0. 0. 0.89
time (sec) N/A 0.494 0.246 0.009 0. 1.262 0. 0. 61.506
Problem 306 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 186 186 214 851 0 1 0 0 162
normalized size 1 1. 1.15 4.58 0. 0.01 0. 0. 0.87
time (sec) N/A 0.614 0.793 0.016 0. 73.241 0. 0. 72.819
Problem 307 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 361 361 244 1009 0 1 0 0 326
normalized size 1 1. 0.68 2.8 0. 0. 0. 0. 0.9
time (sec) N/A 1.186 1.171 0.017 0. 0.478 0. 0. 125.688
Problem 308 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 424 632 209 528 0 0 0 0 571
normalized size 1 1.49 0.49 1.25 0. 0. 0. 0. 1.35
time (sec) N/A 0.996 0.215 0.093 0. 0. 0. 0. 80.407
Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 417 604 204 509 0 0 0 0 544
normalized size 1 1.45 0.49 1.22 0. 0. 0. 0. 1.3
time (sec) N/A 0.811 0.2 0.012 0. 0. 0. 0. 74.91
Problem 310 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 381 483 127 341 0 0 0 0 432
normalized size 1 1.27 0.33 0.9 0. 0. 0. 0. 1.13
time (sec) N/A 0.399 0.101 0.007 0. 0. 0. 0. 45.029
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 NO Yes TBD TBD TBD TBD TBD TBD
size 412 509 208 511 0 0 0 0 450
normalized size 1 1.24 0.5 1.24 0. 0. 0. 0. 1.09
time (sec) N/A 0.491 0.19 0.021 0. 0. 0. 0. 53.195
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 373 373 154 448 0 0 0 0 330
normalized size 1 1. 0.41 1.2 0. 0. 0. 0. 0.88
time (sec) N/A 0.392 0.165 0.024 0. 0. 0. 0. 37.133
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 NO Yes TBD TBD TBD TBD TBD TBD
size 647 647 224 549 0 0 0 0 581
normalized size 1 1. 0.35 0.85 0. 0. 0. 0. 0.9
time (sec) N/A 1.039 0.236 0.028 0. 0. 0. 0. 95.453
Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) F(-1) F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 482 482 492 2068 0 0 0 0 551
normalized size 1 1. 1.02 4.29 0. 0. 0. 0. 1.14
time (sec) N/A 2.16 1.107 0.045 0. 0. 0. 0. 178.164
Problem 315 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 360 360 376 1696 0 0 0 0 388
normalized size 1 1. 1.04 4.71 0. 0. 0. 0. 1.08
time (sec) N/A 1.493 0.474 0.017 0. 0. 0. 0. 127.517
Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) F(-1) F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 269 269 276 1411 0 0 0 0 253
normalized size 1 1. 1.03 5.25 0. 0. 0. 0. 0.94
time (sec) N/A 1.004 0.416 0.011 0. 0. 0. 0. 109.583
Problem 317 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F F(-1) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 350 350 292 1270 0 0 0 0 332
normalized size 1 1. 0.83 3.63 0. 0. 0. 0. 0.95
time (sec) N/A 1.27 2.257 0.017 0. 0. 0. 0. 130.837
Problem 318 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F F(-1) F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 562 562 284 1207 0 0 0 0 0
normalized size 1 1. 0.51 2.15 0. 0. 0. 0. 0.
time (sec) N/A 2.192 1.766 0.018 0. 0. 0. 0. 0.
Problem 319 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 463 888 214 547 0 0 0 0 796
normalized size 1 1.92 0.46 1.18 0. 0. 0. 0. 1.72
time (sec) N/A 1.192 0.213 0.032 0. 0. 0. 0. 134.069
Problem 320 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 428 615 209 377 0 0 0 0 663
normalized size 1 1.44 0.49 0.88 0. 0. 0. 0. 1.55
time (sec) N/A 0.654 0.198 0.009 0. 0. 0. 0. 97.272
Problem 321 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 735 735 213 528 0 0 0 0 544
normalized size 1 1. 0.29 0.72 0. 0. 0. 0. 0.74
time (sec) N/A 0.758 0.195 0.021 0. 0. 0. 0. 62.902
Problem 322 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 638 638 219 530 0 0 0 0 570
normalized size 1 1. 0.34 0.83 0. 0. 0. 0. 0.89
time (sec) N/A 0.799 0.206 0.024 0. 0. 0. 0. 67.298
Problem 323 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 665 665 224 549 0 0 0 0 597
normalized size 1 1. 0.34 0.83 0. 0. 0. 0. 0.9
time (sec) N/A 0.957 0.246 0.027 0. 0. 0. 0. 86.904
Problem 324 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 173 173 196 267 0 1 0 0 190
normalized size 1 1. 1.13 1.54 0. 0.01 0. 0. 1.1
time (sec) N/A 0.757 0.759 0.026 0. 21.367 0. 0. 62.115
Problem 325 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 137 161 204 0 1 0 0 121
normalized size 1 1. 1.18 1.49 0. 0.01 0. 0. 0.88
time (sec) N/A 0.445 0.284 0.014 0. 1.425 0. 0. 44.933
Problem 326 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 86 96 165 0 1 0 101 78
normalized size 1 1. 1.12 1.92 0. 0.01 0. 1.17 0.91
time (sec) N/A 0.244 0.091 0.008 0. 0.36 0. 0.288 30.993
Problem 327 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 138 138 174 207 0 1 0 0 121
normalized size 1 1. 1.26 1.5 0. 0.01 0. 0. 0.88
time (sec) N/A 0.52 0.942 0.017 0. 0.487 0. 0. 53.656
Problem 328 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 218 218 256 276 0 1 0 0 194
normalized size 1 1. 1.17 1.27 0. 0. 0. 0. 0.89
time (sec) N/A 0.701 1.852 0.019 0. 0.951 0. 0. 64.385
Problem 329 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 398 488 127 222 0 0 0 0 507
normalized size 1 1.23 0.32 0.56 0. 0. 0. 0. 1.27
time (sec) N/A 0.462 0.143 0.03 0. 0. 0. 0. 43.751
Problem 330 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 280 280 99 134 0 0 0 0 308
normalized size 1 1. 0.35 0.48 0. 0. 0. 0. 1.1
time (sec) N/A 0.396 0.095 0.011 0. 0. 0. 0. 29.152
Problem 331 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 256 256 80 70 0 0 0 0 226
normalized size 1 1. 0.31 0.27 0. 0. 0. 0. 0.88
time (sec) N/A 0.193 0.037 0.007 0. 0. 0. 0. 15.235
Problem 332 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 500 500 147 178 0 0 0 0 439
normalized size 1 1. 0.29 0.36 0. 0. 0. 0. 0.88
time (sec) N/A 0.622 0.266 0.022 0. 0. 0. 0. 47.349
Problem 333 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 622 622 219 260 0 0 0 0 556
normalized size 1 1. 0.35 0.42 0. 0. 0. 0. 0.89
time (sec) N/A 0.936 0.176 0.023 0. 0. 0. 0. 69.829
Problem 334 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 236 236 271 720 0 1 0 0 348
normalized size 1 1. 1.15 3.05 0. 0. 0. 0. 1.47
time (sec) N/A 1.113 0.634 0.08 0. 69.96 0. 0. 134.65
Problem 335 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 167 167 204 613 0 1 0 536 235
normalized size 1 1. 1.22 3.67 0. 0.01 0. 3.21 1.41
time (sec) N/A 0.634 0.736 0.019 0. 0.634 0. 0.352 105.888
Problem 336 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 159 159 225 506 0 1 0 595 143
normalized size 1 1. 1.42 3.18 0. 0.01 0. 3.74 0.9
time (sec) N/A 0.521 0.511 0.016 0. 0.621 0. 0.319 64.413
Problem 337 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 166 166 201 454 0 1 0 613 150
normalized size 1 1. 1.21 2.73 0. 0.01 0. 3.69 0.9
time (sec) N/A 0.437 0.618 0.011 0. 0.633 0. 0.32 61.421
Problem 338 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 266 266 378 612 0 1 0 0 238
normalized size 1 1. 1.42 2.3 0. 0. 0. 0. 0.89
time (sec) N/A 0.923 3.097 0.018 0. 3.514 0. 0. 111.14
Problem 339 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 419 419 349 863 0 1 0 0 384
normalized size 1 1. 0.83 2.06 0. 0. 0. 0. 0.92
time (sec) N/A 1.344 2.93 0.019 0. 8.485 0. 0. 148.256
Problem 340 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 449 636 199 603 0 0 0 0 643
normalized size 1 1.42 0.44 1.34 0. 0. 0. 0. 1.43
time (sec) N/A 0.992 0.203 0.052 0. 0. 0. 0. 84.541
Problem 341 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 423 536 199 586 0 0 0 0 541
normalized size 1 1.27 0.47 1.39 0. 0. 0. 0. 1.28
time (sec) N/A 0.825 0.183 0.015 0. 0. 0. 0. 65.212
Problem 342 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 422 514 199 561 0 0 0 0 459
normalized size 1 1.22 0.47 1.33 0. 0. 0. 0. 1.09
time (sec) N/A 0.581 0.217 0.013 0. 0. 0. 0. 47.45
Problem 343 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 423 516 199 536 0 0 0 0 456
normalized size 1 1.22 0.47 1.27 0. 0. 0. 0. 1.08
time (sec) N/A 0.564 0.182 0.013 0. 0. 0. 0. 50.597
Problem 344 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 422 514 199 366 0 0 0 0 530
normalized size 1 1.22 0.47 0.87 0. 0. 0. 0. 1.26
time (sec) N/A 0.509 0.162 0.009 0. 0. 0. 0. 96.282
Problem 345 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 468 657 211 553 0 0 0 0 658
normalized size 1 1.4 0.45 1.18 0. 0. 0. 0. 1.41
time (sec) N/A 1.079 0.237 0.024 0. 0. 0. 0. 133.09
Problem 346 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F F(-1) F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 406 406 476 496 0 0 0 0 0
normalized size 1 1. 1.17 1.22 0. 0. 0. 0. 0.
time (sec) N/A 17.863 1.52 0.084 0. 0. 0. 0. 0.
Problem 347 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F F(-1) F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 324 324 383 332 0 0 0 0 0
normalized size 1 1. 1.18 1.02 0. 0. 0. 0. 0.
time (sec) N/A 6.786 1.511 0.038 0. 0. 0. 0. 0.
Problem 348 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 292 292 310 275 0 3287 0 0 0
normalized size 1 1. 1.06 0.94 0. 11.26 0. 0. 0.
time (sec) N/A 8.745 0.537 0.031 0. 53.871 0. 0. 0.
Problem 349 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 202 202 179 177 0 1465 0 0 192
normalized size 1 1. 0.89 0.88 0. 7.25 0. 0. 0.95
time (sec) N/A 0.892 0.407 0.019 0. 11.617 0. 0. 75.734
Problem 350 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 281 281 269 294 0 1 0 0 0
normalized size 1 1. 0.96 1.05 0. 0. 0. 0. 0.
time (sec) N/A 2.877 1.195 0.034 0. 92.386 0. 0. 0.
Problem 351 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F F(-1) F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 382 370 351 401 0 0 0 0 0
normalized size 1 0.97 0.92 1.05 0. 0. 0. 0. 0.
time (sec) N/A 8.186 1.704 0.038 0. 0. 0. 0. 0.
Problem 352 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F F(-1) F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 552 552 468 655 0 0 0 0 0
normalized size 1 1. 0.85 1.19 0. 0. 0. 0. 0.
time (sec) N/A 9.29 2.958 0.047 0. 0. 0. 0. 0.
Problem 353 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F F(-1) F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 390 390 0 290 0 1 0 0 0
normalized size 1 1. 0. 0.74 0. 0. 0. 0. 0.
time (sec) N/A 6.529 0.809 0.048 0. 25.828 0. 0. 0.
Problem 354 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F F(-1) F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 324 324 0 224 0 1 0 0 0
normalized size 1 1. 0. 0.69 0. 0. 0. 0. 0.
time (sec) N/A 3.462 0.587 0.033 0. 3.863 0. 0. 0.
Problem 355 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F F(-1) A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 240 240 0 161 0 1330 0 0 219
normalized size 1 1. 0. 0.67 0. 5.54 0. 0. 0.91
time (sec) N/A 0.926 0.126 0.02 0. 1.045 0. 0. 103.247
Problem 356 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F F(-1) F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 291 291 0 272 0 3243 0 0 0
normalized size 1 1. 0. 0.93 0. 11.14 0. 0. 0.
time (sec) N/A 1.638 0.596 0.038 0. 2.273 0. 0. 0.
Problem 357 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F F(-1) F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 373 373 0 322 0 5528 0 0 0
normalized size 1 1. 0. 0.86 0. 14.82 0. 0. 0.
time (sec) N/A 5.635 0.782 0.042 0. 9.84 0. 0. 0.
Problem 358 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F(-1) F(-1) F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 512 512 0 503 0 7794 0 0 0
normalized size 1 1. 0. 0.98 0. 15.22 0. 0. 0.
time (sec) N/A 12.826 1.006 0.051 0. 12.149 0. 0. 0.
Problem 359 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F F(-1) F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 460 460 448 490 0 0 0 0 0
normalized size 1 1. 0.97 1.07 0. 0. 0. 0. 0.
time (sec) N/A 12.065 1.706 0.041 0. 0. 0. 0. 0.
Problem 360 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 327 327 326 279 0 5999 0 0 0
normalized size 1 1. 1. 0.85 0. 18.35 0. 0. 0.
time (sec) N/A 3.192 0.762 0.028 0. 129.552 0. 0. 0.
Problem 361 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F F(-1) F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 346 346 333 388 0 0 0 0 0
normalized size 1 1. 0.96 1.12 0. 0. 0. 0. 0.
time (sec) N/A 3.908 1.842 0.039 0. 0. 0. 0. 0.
Problem 362 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F F(-1) F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 417 416 382 555 0 0 0 0 0
normalized size 1 1. 0.92 1.33 0. 0. 0. 0. 0.
time (sec) N/A 7.542 2.017 0.046 0. 0. 0. 0. 0.
Problem 363 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F F(-1) F F(-1) F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 595 595 0 516 0 0 0 0 0
normalized size 1 1. 0. 0.87 0. 0. 0. 0. 0.
time (sec) N/A 7.253 1.247 0.048 0. 0. 0. 0. 0.
Problem 364 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F F(-1) F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 491 491 0 382 0 1 0 0 0
normalized size 1 1. 0. 0.78 0. 0. 0. 0. 0.
time (sec) N/A 3.996 0.954 0.042 0. 99.554 0. 0. 0.
Problem 365 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F F(-1) F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 487 487 0 217 0 1 0 0 0
normalized size 1 1. 0. 0.45 0. 0. 0. 0. 0.
time (sec) N/A 4.226 0.672 0.029 0. 27.132 0. 0. 0.
Problem 366 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F F(-1) F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 260 432 0 360 0 5480 0 0 0
normalized size 1 1.66 0. 1.38 0. 21.08 0. 0. 0.
time (sec) N/A 2.16 0.736 0.043 0. 12.386 0. 0. 0.
Problem 367 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F(-1) F(-1) F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 523 523 0 511 0 10571 0 0 0
normalized size 1 1. 0. 0.98 0. 20.21 0. 0. 0.
time (sec) N/A 5.569 0.912 0.047 0. 31.01 0. 0. 0.
Problem 368 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 281 281 354 2134 0 5154 0 0 0
normalized size 1 1. 1.26 7.59 0. 18.34 0. 0. 0.
time (sec) N/A 14.23 0.787 0.119 0. 5.482 0. 0. 0.
Problem 369 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 229 229 279 1223 0 2858 0 0 243
normalized size 1 1. 1.22 5.34 0. 12.48 0. 0. 1.06
time (sec) N/A 3.56 0.482 0.063 0. 2.027 0. 0. 152.828
Problem 370 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 182 182 169 1167 0 1176 0 0 168
normalized size 1 1. 0.93 6.41 0. 6.46 0. 0. 0.92
time (sec) N/A 0.619 0.26 0.052 0. 0.937 0. 0. 57.688
Problem 371 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 241 241 234 2099 0 1663 0 0 218
normalized size 1 1. 0.97 8.71 0. 6.9 0. 0. 0.9
time (sec) N/A 3.569 0.676 0.071 0. 3.948 0. 0. 143.468
Problem 372 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 290 290 298 2770 0 4031 0 0 0
normalized size 1 1. 1.03 9.55 0. 13.9 0. 0. 0.
time (sec) N/A 5.237 1.008 0.087 0. 11.349 0. 0. 0.
Problem 373 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F F(-1) F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 325 325 0 222 0 4086 0 0 0
normalized size 1 1. 0. 0.68 0. 12.57 0. 0. 0.
time (sec) N/A 11.687 0.658 0.045 0. 1.778 0. 0. 0.
Problem 374 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F F(-2) F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 263 263 0 175 0 1931 0 0 0
normalized size 1 1. 0. 0.67 0. 7.34 0. 0. 0.
time (sec) N/A 4.313 0.486 0.03 0. 0.78 0. 0. 0.
Problem 375 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F F(-1) A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 220 220 0 130 0 1025 0 0 196
normalized size 1 1. 0. 0.59 0. 4.66 0. 0. 0.89
time (sec) N/A 0.726 0.1 0.016 0. 0.378 0. 0. 78.493
Problem 376 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F(-1) F(-2) A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 265 265 0 217 0 2804 0 0 248
normalized size 1 1. 0. 0.82 0. 10.58 0. 0. 0.94
time (sec) N/A 1.848 0.493 0.035 0. 0.488 0. 0. 154.285
Problem 377 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 N/A TBD TBD TBD TBD TBD TBD
size 96 96 0 160 0 475 0 282 128
normalized size 1 1. 0. 1.67 0. 4.95 0. 2.94 1.33
time (sec) N/A 0.42 0.264 0.101 0. 0.299 0. 0.342 59.137
Problem 378 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F F(-1) F F(-1) F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 479 479 0 377 0 0 0 0 0
normalized size 1 1. 0. 0.79 0. 0. 0. 0. 0.
time (sec) N/A 3.981 0.897 0.04 0. 0. 0. 0. 0.
Problem 379 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F F(-1) A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 366 366 0 269 0 1 0 0 359
normalized size 1 1. 0. 0.73 0. 0. 0. 0. 0.98
time (sec) N/A 2.599 0.699 0.035 0. 89.9 0. 0. 179.501
Problem 380 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F F(-1) A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 298 298 0 200 0 1 0 0 292
normalized size 1 1. 0. 0.67 0. 0. 0. 0. 0.98
time (sec) N/A 1.758 0.517 0.028 0. 15.299 0. 0. 173.891
Problem 381 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F F(-1) A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 240 240 0 161 0 4583 0 0 219
normalized size 1 1. 0. 0.67 0. 19.1 0. 0. 0.91
time (sec) N/A 0.908 0.184 0.024 0. 4.082 0. 0. 78.566
Problem 382 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F F(-1) A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 243 243 0 151 0 6152 0 0 226
normalized size 1 1. 0. 0.62 0. 25.32 0. 0. 0.93
time (sec) N/A 0.46 0.1 0.021 0. 10.395 0. 0. 70.873
Problem 383 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F F(-1) A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 280 280 0 197 0 8682 0 0 269
normalized size 1 1. 0. 0.7 0. 31.01 0. 0. 0.96
time (sec) N/A 1.362 0.607 0.031 0. 6.184 0. 0. 152.541
Problem 384 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F(-1) F(-1) F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 341 341 0 248 0 11052 0 0 0
normalized size 1 1. 0. 0.73 0. 32.41 0. 0. 0.
time (sec) N/A 1.774 0.768 0.05 0. 58.107 0. 0. 0.
Problem 385 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F(-1) F(-1) F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 443 443 0 350 0 13497 0 0 0
normalized size 1 1. 0. 0.79 0. 30.47 0. 0. 0.
time (sec) N/A 3.271 0.943 0.042 0. 94.507 0. 0. 0.
Problem 386 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F F(-1) F F(-1) F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 350 507 0 480 0 0 0 0 0
normalized size 1 1.45 0. 1.37 0. 0. 0. 0. 0.
time (sec) N/A 10.553 1.085 0.051 0. 0. 0. 0. 0.
Problem 387 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F F(-1) F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 360 360 0 338 0 19524 0 0 0
normalized size 1 1. 0. 0.94 0. 54.23 0. 0. 0.
time (sec) N/A 3.237 0.808 0.042 0. 69.281 0. 0. 0.
Problem 388 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F F(-1) F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 333 333 0 252 0 19097 0 0 0
normalized size 1 1. 0. 0.76 0. 57.35 0. 0. 0.
time (sec) N/A 1.704 0.687 0.037 0. 89.878 0. 0. 0.
Problem 389 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F F(-1) F F(-1) F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 341 341 0 246 0 0 0 0 0
normalized size 1 1. 0. 0.72 0. 0. 0. 0. 0.
time (sec) N/A 2.024 0.735 0.03 0. 0. 0. 0. 0.
Problem 390 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F F(-1) F F(-1) F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 339 462 0 387 0 0 0 0 0
normalized size 1 1.36 0. 1.14 0. 0. 0. 0. 0.
time (sec) N/A 6.188 1.125 0.046 0. 0. 0. 0. 0.
Problem 391 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F F(-1) F(-1) F(-1) F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 419 647 0 541 0 0 0 0 0
normalized size 1 1.54 0. 1.29 0. 0. 0. 0. 0.
time (sec) N/A 12.814 1.361 0.052 0. 0. 0. 0. 0.
Problem 392 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 243 243 0 0 0 0 0 0 202
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.83
time (sec) N/A 1.489 0.106 0.092 0. 0. 0. 0. 114.954
Problem 393 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 312 312 367 0 0 0 0 0 289
normalized size 1 1. 1.18 0. 0. 0. 0. 0. 0.93
time (sec) N/A 1.801 1.351 0.096 0. 0. 0. 0. 96.978
Problem 394 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 255 255 362 0 0 0 0 0 241
normalized size 1 1. 1.42 0. 0. 0. 0. 0. 0.95
time (sec) N/A 1.16 1.891 0.083 0. 0. 0. 0. 93.411
Problem 395 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 209 209 303 0 0 0 0 0 206
normalized size 1 1. 1.45 0. 0. 0. 0. 0. 0.99
time (sec) N/A 0.721 0.715 0.086 0. 0. 0. 0. 66.313
Problem 396 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 197 197 261 0 0 0 0 0 175
normalized size 1 1. 1.32 0. 0. 0. 0. 0. 0.89
time (sec) N/A 0.82 0.485 0.068 0. 0. 0. 0. 71.855
Problem 397 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 261 261 0 0 0 0 0 0 243
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.93
time (sec) N/A 1.216 0.11 0.051 0. 0. 0. 0. 105.931
Problem 398 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 321 321 420 0 0 0 0 0 303
normalized size 1 1. 1.31 0. 0. 0. 0. 0. 0.94
time (sec) N/A 1.57 0.989 0.121 0. 0. 0. 0. 141.294
Problem 399 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 339 339 0 0 0 0 0 0 308
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.91
time (sec) N/A 1.416 0.314 0.082 0. 0. 0. 0. 163.142
Problem 400 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 273 273 0 0 0 0 0 0 240
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.88
time (sec) N/A 1.194 0.136 0.07 0. 0. 0. 0. 150.094
Problem 401 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 162 162 0 0 0 0 0 0 134
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.83
time (sec) N/A 0.73 0.105 0.078 0. 0. 0. 0. 69.108
Problem 402 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 190 190 0 0 0 0 0 0 163
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.86
time (sec) N/A 0.716 0.048 0.065 0. 0. 0. 0. 61.759
Problem 403 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 264 264 0 0 0 0 0 0 228
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.86
time (sec) N/A 1.167 0.103 0.091 0. 0. 0. 0. 138.045
Problem 404 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 328 328 0 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 1.313 0.295 0.065 0. 0. 0. 0. 0.
Problem 405 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 44 79 101 42 162 0 78 56
normalized size 1 1.1 1.98 2.52 1.05 4.05 0. 1.95 1.4
time (sec) N/A 0.275 0.077 0.083 0.763 0.292 0. 0.299 20.008

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 [252] had the largest ratio of [ 0.5 ]

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 3 2 1. 20 0.1
2 A 2 1 1. 20 0.05
3 A 4 3 1. 18 0.167
4 A 2 1 1. 17 0.059
5 A 3 2 1. 20 0.1
6 A 2 1 1. 20 0.05
7 A 3 2 1. 20 0.1
8 A 5 5 1. 20 0.25
9 A 4 4 1. 20 0.2
10 A 4 4 1. 18 0.222
11 A 7 7 1. 20 0.35
12 A 7 7 1. 20 0.35
13 A 7 7 1. 20 0.35
14 A 6 6 1. 20 0.3
15 A 6 5 1. 20 0.25
16 A 5 5 1. 20 0.25
17 A 4 4 1. 17 0.235
18 A 4 4 1. 20 0.2
19 A 5 5 1. 20 0.25
20 A 6 5 1. 20 0.25
21 A 5 4 1. 20 0.2
22 A 5 4 1. 18 0.222
23 A 8 7 1. 20 0.35
24 A 8 8 1. 20 0.4
25 A 8 7 1. 20 0.35
26 A 8 8 1. 20 0.4
27 A 7 5 1. 20 0.25
28 A 6 5 1. 20 0.25
29 A 5 4 1. 17 0.235
30 A 5 5 1. 20 0.25
31 A 5 4 1. 20 0.2
32 A 5 4 1. 20 0.2
33 A 4 4 1. 20 0.2
34 A 3 3 1. 20 0.15
35 A 3 3 1. 18 0.167
36 A 6 6 1. 20 0.3
37 A 5 5 1. 20 0.25
38 A 6 6 1. 20 0.3
39 A 5 4 1. 20 0.2
40 A 4 4 1. 20 0.2
41 A 3 3 1. 17 0.176
42 A 4 4 1. 20 0.2
43 A 5 4 1. 20 0.2
44 A 4 4 1. 20 0.2
45 A 4 4 1. 20 0.2
46 A 3 3 1. 20 0.15
47 A 2 2 1. 18 0.111
48 A 6 6 1. 20 0.3
49 A 6 6 1. 20 0.3
50 A 5 5 1. 20 0.25
51 A 4 4 1. 20 0.2
52 A 4 4 1. 17 0.235
53 A 5 5 1. 20 0.25
54 A 6 5 1. 20 0.25
55 A 3 2 1. 25 0.08
56 A 4 3 1. 23 0.13
57 A 3 2 1. 23 0.087
58 A 4 3 1. 23 0.13
59 A 3 2 1. 23 0.087
60 A 4 3 1. 21 0.143
61 A 3 2 1. 20 0.1
62 A 5 4 1. 23 0.174
63 A 3 2 1. 23 0.087
64 A 4 3 1. 23 0.13
65 A 3 2 1. 23 0.087
66 A 4 3 1. 21 0.143
67 A 3 2 1. 21 0.095
68 A 4 3 1. 21 0.143
69 A 3 2 1. 21 0.095
70 A 2 2 1. 19 0.105
71 A 3 2 1. 18 0.111
72 A 4 3 1. 21 0.143
73 A 3 2 1. 21 0.095
74 A 4 3 1. 21 0.143
75 A 4 4 1. 33 0.121
76 A 4 4 1. 31 0.129
77 A 3 3 1. 30 0.1
78 A 4 3 1. 33 0.091
79 A 3 3 1. 33 0.091
80 A 4 3 1. 33 0.091
81 A 4 4 1. 33 0.121
82 A 3 3 1. 31 0.097
83 A 4 4 1. 30 0.133
84 A 4 3 1. 33 0.091
85 A 5 4 1. 33 0.121
86 A 4 3 1. 33 0.091
87 A 3 2 1. 35 0.057
88 A 3 2 1. 35 0.057
89 A 3 2 1. 35 0.057
90 A 3 3 1. 35 0.086
91 A 3 3 1. 35 0.086
92 A 1 1 1. 29 0.034
93 A 5 4 1. 31 0.129
94 A 5 4 1. 31 0.129
95 A 3 2 1. 25 0.08
96 A 2 1 1. 25 0.04
97 A 3 2 1. 23 0.087
98 A 2 1 1. 22 0.045
99 A 3 2 1. 25 0.08
100 A 2 1 1. 25 0.04
101 A 3 2 1. 25 0.08
102 A 7 6 1. 25 0.24
103 A 6 6 1. 25 0.24
104 A 5 5 1. 23 0.217
105 A 7 6 1. 25 0.24
106 A 7 6 1. 25 0.24
107 A 5 3 1. 25 0.12
108 A 4 3 1. 25 0.12
109 A 3 2 1. 22 0.091
110 A 4 3 1. 25 0.12
111 A 5 3 1. 25 0.12
112 A 7 7 1. 25 0.28
113 A 6 6 1. 25 0.24
114 A 4 4 1. 25 0.16
115 A 4 4 1. 23 0.174
116 A 8 7 1. 25 0.28
117 A 8 7 1. 25 0.28
118 A 6 4 1. 25 0.16
119 A 5 4 1. 25 0.16
120 A 4 3 1. 25 0.12
121 A 4 3 1. 22 0.136
122 A 5 4 1. 25 0.16
123 A 6 4 1. 25 0.16
124 A 8 7 1. 25 0.28
125 A 7 6 1. 25 0.24
126 A 5 5 1. 25 0.2
127 A 5 5 1. 25 0.2
128 A 5 5 1. 25 0.2
129 A 5 5 1. 23 0.217
130 A 9 7 1. 25 0.28
131 A 9 7 1. 25 0.28
132 A 7 4 1. 25 0.16
133 A 6 4 1. 25 0.16
134 A 5 3 1. 25 0.12
135 A 5 4 1. 25 0.16
136 A 5 3 1. 22 0.136
137 A 4 3 1. 21 0.143
138 A 5 4 1. 22 0.182
139 A 5 5 1. 17 0.294
140 A 6 6 1. 18 0.333
141 A 5 5 1. 22 0.227
142 A 6 6 1. 25 0.24
143 A 5 5 1. 25 0.2
144 A 5 5 1. 23 0.217
145 A 7 6 1. 25 0.24
146 A 7 6 1. 25 0.24
147 A 7 6 1. 25 0.24
148 A 5 5 1. 25 0.2
149 A 6 6 1. 25 0.24
150 A 7 6 1. 25 0.24
151 A 6 5 1. 25 0.2
152 A 5 5 1. 25 0.2
153 A 4 4 1. 22 0.182
154 A 4 4 1. 25 0.16
155 A 5 5 1. 25 0.2
156 A 7 6 1. 25 0.24
157 A 6 5 1. 25 0.2
158 A 6 5 1. 23 0.217
159 A 8 6 1. 25 0.24
160 A 8 7 1. 25 0.28
161 A 8 6 1. 25 0.24
162 A 8 7 1. 25 0.28
163 A 7 5 1. 25 0.2
164 A 6 5 1. 25 0.2
165 A 5 4 1. 22 0.182
166 A 5 5 1. 25 0.2
167 A 5 4 1. 25 0.16
168 A 6 5 1. 25 0.2
169 A 5 5 1. 27 0.185
170 A 4 4 1. 27 0.148
171 A 4 4 1. 25 0.16
172 A 6 5 1. 27 0.185
173 A 4 4 1. 27 0.148
174 A 5 5 1. 27 0.185
175 A 6 5 1. 27 0.185
176 A 5 4 1. 27 0.148
177 A 4 4 1. 27 0.148
178 A 3 3 1. 24 0.125
179 A 4 4 1. 27 0.148
180 A 5 4 1. 27 0.148
181 A 6 5 1. 25 0.2
182 A 5 5 1. 25 0.2
183 A 4 4 1. 25 0.16
184 A 4 4 1. 23 0.174
185 A 6 5 1. 25 0.2
186 A 4 4 1. 25 0.16
187 A 5 5 1. 25 0.2
188 A 6 5 1. 25 0.2
189 A 5 4 1. 25 0.16
190 A 4 4 1. 25 0.16
191 A 3 3 1. 22 0.136
192 A 4 4 1. 25 0.16
193 A 5 4 1. 25 0.16
194 A 5 5 1. 25 0.2
195 A 4 4 1. 25 0.16
196 A 2 2 1. 23 0.087
197 A 5 5 1. 25 0.2
198 A 5 5 1. 25 0.2
199 A 5 5 1. 25 0.2
200 A 4 4 1. 25 0.16
201 A 4 4 1. 22 0.182
202 A 5 5 1. 25 0.2
203 A 6 5 1. 25 0.2
204 A 6 3 1. 31 0.097
205 A 6 3 1. 31 0.097
206 A 6 3 1. 31 0.097
207 A 6 3 1. 31 0.097
208 A 6 3 1. 31 0.097
209 A 6 3 1. 31 0.097
210 A 6 3 1. 31 0.097
211 A 6 3 1. 31 0.097
212 A 6 3 1. 31 0.097
213 A 6 3 1. 31 0.097
214 A 6 3 1. 31 0.097
215 A 6 3 1. 31 0.097
216 A 6 3 1. 31 0.097
217 A 6 3 1. 31 0.097
218 A 6 3 1. 31 0.097
219 A 6 3 1. 31 0.097
220 A 2 1 1. 27 0.037
221 A 2 1 1. 27 0.037
222 A 2 1 1. 25 0.04
223 A 3 2 1. 27 0.074
224 A 4 3 0.91 27 0.111
225 A 6 3 1. 29 0.103
226 A 6 3 1. 29 0.103
227 A 6 3 1. 29 0.103
228 A 6 3 1. 29 0.103
229 A 6 5 1. 22 0.227
230 A 6 5 1. 22 0.227
231 A 6 5 1. 22 0.227
232 A 6 5 1. 22 0.227
233 A 6 6 1. 20 0.3
234 A 6 5 1. 22 0.227
235 A 6 5 1. 22 0.227
236 A 6 5 1. 22 0.227
237 A 12 8 1. 22 0.364
238 A 12 8 1. 22 0.364
239 A 12 8 1. 22 0.364
240 A 12 8 1. 22 0.364
241 A 12 8 1. 19 0.421
242 A 12 8 1. 22 0.364
243 A 12 8 1. 22 0.364
244 A 7 6 1. 22 0.273
245 A 7 6 1. 22 0.273
246 A 7 6 1. 22 0.273
247 A 7 6 1. 22 0.273
248 A 7 6 1. 20 0.3
249 A 8 6 1. 22 0.273
250 A 8 6 1. 22 0.273
251 A 8 6 1. 22 0.273
252 A 24 11 1. 22 0.5
253 A 23 10 1. 22 0.454
254 A 23 10 1. 22 0.454
255 A 23 10 1. 22 0.454
256 A 22 9 1. 19 0.474
257 A 22 9 1. 22 0.409
258 A 22 9 1. 22 0.409
259 A 6 6 1. 37 0.162
260 A 4 3 1. 35 0.086
261 A 5 5 1. 34 0.147
262 A 6 6 1. 37 0.162
263 A 5 5 1. 37 0.135
264 A 6 6 1. 37 0.162
265 A 3 2 1. 25 0.08
266 A 2 1 1. 25 0.04
267 A 3 2 1. 23 0.087
268 A 2 1 1. 22 0.045
269 A 3 2 1. 25 0.08
270 A 2 1 1. 25 0.04
271 A 3 2 1. 25 0.08
272 A 6 5 1. 25 0.2
273 A 6 5 1. 25 0.2
274 A 5 5 1. 25 0.2
275 A 3 3 1. 22 0.136
276 A 3 3 1. 25 0.12
277 A 4 3 1. 25 0.12
278 A 4 3 1. 25 0.12
279 A 4 3 1. 25 0.12
280 A 6 5 1. 25 0.2
281 A 6 5 1. 25 0.2
282 A 5 5 1. 25 0.2
283 A 3 3 1. 22 0.136
284 A 4 4 1. 25 0.16
285 A 5 3 1. 25 0.12
286 A 5 3 1. 25 0.12
287 A 7 6 1. 27 0.222
288 A 7 6 1. 27 0.222
289 A 7 6 1. 27 0.222
290 A 7 6 1. 27 0.222
291 A 7 7 1. 25 0.28
292 A 7 6 1. 27 0.222
293 A 7 6 1. 27 0.222
294 A 7 6 1. 27 0.222
295 A 6 3 1. 27 0.111
296 A 6 3 1. 27 0.111
297 A 6 3 1. 27 0.111
298 A 6 3 1. 27 0.111
299 A 6 3 1. 24 0.125
300 A 6 3 1. 27 0.111
301 A 6 3 1. 27 0.111
302 A 19 12 1. 31 0.387
303 A 8 7 1. 29 0.241
304 A 7 6 1. 29 0.207
305 A 7 6 1. 27 0.222
306 A 9 6 1. 29 0.207
307 A 21 8 1. 29 0.276
308 A 16 8 1.49 29 0.276
309 A 12 7 1.45 29 0.241
310 A 6 5 1.27 26 0.192
311 A 7 6 1.24 29 0.207
312 A 6 5 1. 29 0.172
313 A 16 10 1. 29 0.345
314 A 9 7 1. 29 0.241
315 A 8 6 1. 29 0.207
316 A 8 7 1. 27 0.259
317 A 14 8 1. 29 0.276
318 A 24 9 1. 29 0.31
319 A 18 8 1.92 29 0.276
320 A 11 6 1.44 26 0.231
321 A 12 9 1. 29 0.31
322 A 12 8 1. 29 0.276
323 A 14 8 1. 29 0.276
324 A 7 6 1. 29 0.207
325 A 6 5 1. 29 0.172
326 A 3 3 1. 27 0.111
327 A 7 4 1. 29 0.138
328 A 10 5 1. 29 0.172
329 A 7 6 1.23 29 0.207
330 A 3 3 1. 29 0.103
331 A 2 2 1. 26 0.077
332 A 9 7 1. 29 0.241
333 A 14 9 1. 29 0.31
334 A 7 6 1. 29 0.207
335 A 5 5 1. 29 0.172
336 A 5 5 1. 29 0.172
337 A 5 5 1. 27 0.185
338 A 11 6 1. 29 0.207
339 A 15 7 1. 29 0.241
340 A 13 9 1.42 29 0.31
341 A 8 7 1.27 29 0.241
342 A 7 6 1.22 29 0.207
343 A 7 6 1.22 29 0.207
344 A 7 6 1.22 26 0.231
345 A 14 9 1.4 29 0.31
346 A 7 5 1. 29 0.172
347 A 7 5 1. 29 0.172
348 A 6 5 1. 29 0.172
349 A 5 4 1. 27 0.148
350 A 8 6 1. 29 0.207
351 A 10 7 0.97 29 0.241
352 A 13 7 1. 29 0.241
353 A 10 7 1. 29 0.241
354 A 9 6 1. 29 0.207
355 A 11 6 1. 26 0.231
356 A 8 5 1. 29 0.172
357 A 12 7 1. 29 0.241
358 A 15 7 1. 29 0.241
359 A 7 5 1. 29 0.172
360 A 6 5 1. 27 0.185
361 A 8 6 1. 29 0.207
362 A 10 7 1. 29 0.241
363 A 17 9 1. 29 0.31
364 A 16 8 1. 29 0.276
365 A 13 7 1. 26 0.269
366 A 16 8 1.66 29 0.276
367 A 19 10 1. 29 0.345
368 A 7 5 1. 29 0.172
369 A 6 5 1. 29 0.172
370 A 5 4 1. 27 0.148
371 A 8 6 1. 29 0.207
372 A 8 6 1. 29 0.207
373 A 9 6 1. 29 0.207
374 A 8 5 1. 29 0.172
375 A 9 5 1. 26 0.192
376 A 8 5 1. 29 0.172
377 A 8 6 1. 25 0.24
378 A 17 7 1. 29 0.241
379 A 13 7 1. 29 0.241
380 A 10 6 1. 29 0.207
381 A 6 3 1. 29 0.103
382 A 5 3 1. 26 0.115
383 A 9 5 1. 29 0.172
384 A 11 6 1. 29 0.207
385 A 14 6 1. 29 0.207
386 A 14 7 1.45 29 0.241
387 A 8 5 1. 29 0.172
388 A 8 5 1. 29 0.172
389 A 8 5 1. 26 0.192
390 A 12 8 1.36 29 0.276
391 A 15 8 1.54 29 0.276
392 A 6 3 1. 29 0.103
393 A 5 3 1. 27 0.111
394 A 5 3 1. 27 0.111
395 A 5 3 1. 27 0.111
396 A 5 3 1. 25 0.12
397 A 8 5 1. 27 0.185
398 A 9 6 1. 27 0.222
399 A 12 8 1. 27 0.296
400 A 10 6 1. 27 0.222
401 A 6 3 1. 27 0.111
402 A 5 3 1. 24 0.125
403 A 10 6 1. 27 0.222
404 A 12 6 1. 27 0.222
405 A 5 5 1.1 28 0.179

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