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2 detailed summary tables of results

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

2.1 Detailed conclusion table per each integral for all CAS systems

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

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

Problem 1 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 14 18 1 12 18 12
normalized size 1 1. 1. 0.82 1.06 0.06 0.71 1.06 0.71
time (sec) N/A 0.015 0.002 0.001 1.416 0.184 0.036 0.216 3.854
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 17 17 17 14 18 1 12 18 12
normalized size 1 1. 1. 0.82 1.06 0.06 0.71 1.06 0.71
time (sec) N/A 0.012 0.002 0.001 1.448 0.184 0.035 0.215 3.95
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 17 17 17 14 18 1 12 18 0
normalized size 1 1. 1. 0.82 1.06 0.06 0.71 1.06 0.
time (sec) N/A 0.009 0. 0.001 1.415 0.182 0.033 0.217 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 12 12 12 11 14 14 8 14 0
normalized size 1 1. 1. 0.92 1.17 1.17 0.67 1.17 0.
time (sec) N/A 0.01 0.001 0.002 1.37 0.197 0.04 0.215 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 13 13 13 12 15 15 10 19 0
normalized size 1 1. 1. 0.92 1.15 1.15 0.77 1.46 0.
time (sec) N/A 0.012 0.002 0.002 2.711 0.202 0.08 0.221 0.
Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 30 30 30 25 32 1 26 32 26
normalized size 1 1. 1. 0.83 1.07 0.03 0.87 1.07 0.87
time (sec) N/A 0.039 0.001 0.002 1.377 0.186 0.063 0.218 6.802
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 30 30 30 25 32 1 24 32 0
normalized size 1 1. 1. 0.83 1.07 0.03 0.8 1.07 0.
time (sec) N/A 0.054 0.002 0. 1.381 0.182 0.048 0.216 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 30 30 30 25 32 1 26 32 26
normalized size 1 1. 1. 0.83 1.07 0.03 0.87 1.07 0.87
time (sec) N/A 0.031 0.002 0.001 6.901 0.181 0.047 0.217 3.181
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 16 16 16 25 32 32 24 32 10
normalized size 1 1. 1. 1.56 2. 2. 1.5 2. 0.62
time (sec) N/A 0.013 0.003 0.003 1.365 0.196 0.047 0.217 3.305
Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 22 28 28 22 28 0
normalized size 1 1. 1. 0.88 1.12 1.12 0.88 1.12 0.
time (sec) N/A 0.023 0.002 0.002 1.374 0.195 0.048 0.216 0.
Problem 11 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 37 49 1 42 49 42
normalized size 1 1. 1. 0.8 1.07 0.02 0.91 1.07 0.91
time (sec) N/A 0.041 0.003 0.003 1.373 0.179 0.101 0.216 3.035
Problem 12 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 27 27 27 24 31 30 20 32 0
normalized size 1 1. 1. 0.89 1.15 1.11 0.74 1.19 0.
time (sec) N/A 0.05 0.006 0.004 1.367 0.203 1.199 0.218 0.
Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 31 27 0 1 56 35 26
normalized size 1 1. 1. 0.87 0. 0.03 1.81 1.13 0.84
time (sec) N/A 0.039 0.015 0.005 0. 0.21 1.213 0.216 7.48
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 15 15 15 14 18 18 10 19 10
normalized size 1 1. 1. 0.93 1.2 1.2 0.67 1.27 0.67
time (sec) N/A 0.015 0.003 0.002 1.406 0.201 0.245 0.215 3.311
Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 24 16 0 1 53 20 22
normalized size 1 1. 1. 0.67 0. 0.04 2.21 0.83 0.92
time (sec) N/A 0.019 0.007 0.002 0. 0.211 0.305 0.215 3.505
Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 22 21 27 24 15 32 19
normalized size 1 1. 1. 0.95 1.23 1.09 0.68 1.45 0.86
time (sec) N/A 0.032 0.007 0.005 1.374 0.206 0.499 0.218 158.157
Problem 17 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 34 34 34 30 0 1 65 39 29
normalized size 1 1. 1. 0.88 0. 0.03 1.91 1.15 0.85
time (sec) N/A 0.036 0.021 0.005 0. 0.211 1.34 0.217 7.295
Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 35 32 42 45 31 58 34
normalized size 1 1. 1. 0.91 1.2 1.29 0.89 1.66 0.97
time (sec) N/A 0.057 0.01 0.009 1.377 0.207 1.642 0.219 9.658
Problem 19 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 43 43 43 39 0 1 87 54 37
normalized size 1 1. 1. 0.91 0. 0.02 2.02 1.26 0.86
time (sec) N/A 0.052 0.034 0.007 0. 0.214 1.522 0.218 10.766
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 49 49 49 44 59 61 42 77 48
normalized size 1 1. 1. 0.9 1.2 1.24 0.86 1.57 0.98
time (sec) N/A 0.07 0.011 0.009 1.365 0.207 1.833 0.218 12.36
Problem 21 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 45 45 45 36 0 1 78 47 36
normalized size 1 1. 1. 0.8 0. 0.02 1.73 1.04 0.8
time (sec) N/A 0.033 0.042 0.006 0. 0.211 1.431 0.218 4.944
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 38 38 33 35 46 63 34 63 34
normalized size 1 1. 0.87 0.92 1.21 1.66 0.89 1.66 0.89
time (sec) N/A 0.062 0.022 0.011 1.442 0.208 1.673 0.219 9.832
Problem 23 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 57 57 54 46 0 1 90 63 0
normalized size 1 1. 0.95 0.81 0. 0.02 1.58 1.11 0.
time (sec) N/A 0.048 0.059 0.012 0. 0.217 1.725 0.216 0.
Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 41 46 68 99 49 69 46
normalized size 1 1. 0.84 0.94 1.39 2.02 1. 1.41 0.94
time (sec) N/A 0.082 0.059 0.014 1.395 0.207 2.046 0.218 12.633
Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 68 68 67 59 0 1 114 80 61
normalized size 1 1. 0.99 0.87 0. 0.01 1.68 1.18 0.9
time (sec) N/A 0.07 0.07 0.016 0. 0.216 2.122 0.219 14.536
Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 13 13 29 22 28 28 19 31 8
normalized size 1 1. 2.23 1.69 2.15 2.15 1.46 2.38 0.62
time (sec) N/A 0.023 0.007 0.002 1.369 0.204 0.17 0.219 4.682
Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 18 19 24 19 14 20 14
normalized size 1 1. 0.9 0.95 1.2 0.95 0.7 1. 0.7
time (sec) N/A 0.032 0.005 0.002 1.366 0.202 0.143 0.22 5.861
Problem 28 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 6 6 22 17 22 22 14 24 3
normalized size 1 1. 3.67 2.83 3.67 3.67 2.33 4. 0.5
time (sec) N/A 0.017 0.005 0.003 1.381 0.203 0.178 0.218 4.433
Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 14 18 11 8 20 10
normalized size 1 1. 1. 1.17 1.5 0.92 0.67 1.67 0.83
time (sec) N/A 0.011 0.003 0.002 1.371 0.201 0.141 0.218 2.887
Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 2 2 19 3 18 18 12 20 2
normalized size 1 1. 9.5 1.5 9. 9. 6. 10. 1.
time (sec) N/A 0.007 0.004 0.001 1.364 0.203 0.177 0.219 1.077
Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 16 20 15 10 22 0
normalized size 1 1. 1. 1.07 1.33 1. 0.67 1.47 0.
time (sec) N/A 0.021 0.004 0.009 1.363 0.202 0.175 0.221 0.
Problem 32 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 8 8 24 19 24 27 15 27 5
normalized size 1 1. 3. 2.38 3. 3.38 1.88 3.38 0.62
time (sec) N/A 0.016 0.005 0.01 1.391 0.205 0.213 0.216 4.246
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 22 22 22 21 27 32 17 35 20
normalized size 1 1. 1. 0.95 1.23 1.45 0.77 1.59 0.91
time (sec) N/A 0.033 0.006 0.012 1.433 0.202 0.234 0.217 5.828
Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 31 24 34 41 24 36 12
normalized size 1 1. 2.07 1.6 2.27 2.73 1.6 2.4 0.8
time (sec) N/A 0.025 0.006 0.01 1.411 0.204 0.255 0.217 5.811
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 29 29 29 26 36 41 22 45 27
normalized size 1 1. 1. 0.9 1.24 1.41 0.76 1.55 0.93
time (sec) N/A 0.035 0.006 0.013 1.388 0.202 0.277 0.221 6.108
Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 14 18 18 12 24 15
normalized size 1 1. 1. 0.93 1.2 1.2 0.8 1.6 1.
time (sec) N/A 0.025 0.006 0.006 1.372 0.201 0.288 0.217 25.026
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 18 18 18 16 20 20 12 24 15
normalized size 1 1. 1. 0.89 1.11 1.11 0.67 1.33 0.83
time (sec) N/A 0.028 0.006 0.006 1.364 0.204 0.311 0.217 26.332
Problem 38 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 163 163 148 168 0 0 0 0 156
normalized size 1 1. 0.91 1.03 0. 0. 0. 0. 0.96
time (sec) N/A 0.344 0.242 0.03 0. 0. 0. 0. 31.954
Problem 39 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 281 281 184 197 0 0 0 0 264
normalized size 1 1. 0.65 0.7 0. 0. 0. 0. 0.94
time (sec) N/A 0.528 0.264 0.023 0. 0. 0. 0. 50.654
Problem 40 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 137 137 137 146 0 0 0 0 131
normalized size 1 1. 1. 1.07 0. 0. 0. 0. 0.96
time (sec) N/A 0.243 0.183 0.024 0. 0. 0. 0. 22.568
Problem 41 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 255 255 170 175 0 0 0 0 240
normalized size 1 1. 0.67 0.69 0. 0. 0. 0. 0.94
time (sec) N/A 0.382 0.237 0.022 0. 0. 0. 0. 35.791
Problem 42 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 113 113 101 124 0 0 0 0 109
normalized size 1 1. 0.89 1.1 0. 0. 0. 0. 0.96
time (sec) N/A 0.182 0.227 0.023 0. 0. 0. 0. 16.219
Problem 43 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 248 248 168 177 0 0 0 0 231
normalized size 1 1. 0.68 0.71 0. 0. 0. 0. 0.93
time (sec) N/A 0.419 0.269 0.026 0. 0. 0. 0. 40.385
Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 116 116 104 123 0 0 0 0 112
normalized size 1 1. 0.9 1.06 0. 0. 0. 0. 0.97
time (sec) N/A 0.185 0.315 0.006 0. 0. 0. 0. 16.322
Problem 45 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 283 283 192 201 0 0 0 0 262
normalized size 1 1. 0.68 0.71 0. 0. 0. 0. 0.93
time (sec) N/A 0.509 0.348 0.005 0. 0. 0. 0. 50.756
Problem 46 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 186 186 159 188 0 0 0 0 178
normalized size 1 1. 0.85 1.01 0. 0. 0. 0. 0.96
time (sec) N/A 0.424 0.26 0.024 0. 0. 0. 0. 40.208
Problem 47 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 304 304 195 217 0 0 0 0 286
normalized size 1 1. 0.64 0.71 0. 0. 0. 0. 0.94
time (sec) N/A 0.595 0.493 0.025 0. 0. 0. 0. 60.234
Problem 48 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 158 158 148 166 0 0 0 0 151
normalized size 1 1. 0.94 1.05 0. 0. 0. 0. 0.96
time (sec) N/A 0.273 0.218 0.023 0. 0. 0. 0. 25.389
Problem 49 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 275 275 184 195 0 0 0 0 258
normalized size 1 1. 0.67 0.71 0. 0. 0. 0. 0.94
time (sec) N/A 0.467 0.268 0.024 0. 0. 0. 0. 45.638
Problem 50 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 134 134 113 144 0 0 0 0 128
normalized size 1 1. 0.84 1.07 0. 0. 0. 0. 0.96
time (sec) N/A 0.249 0.303 0.023 0. 0. 0. 0. 23.018
Problem 51 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 274 274 183 194 0 0 0 0 260
normalized size 1 1. 0.67 0.71 0. 0. 0. 0. 0.95
time (sec) N/A 0.458 0.333 0.023 0. 0. 0. 0. 45.104
Problem 52 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 134 134 107 139 0 0 0 0 129
normalized size 1 1. 0.8 1.04 0. 0. 0. 0. 0.96
time (sec) N/A 0.25 0.286 0.027 0. 0. 0. 0. 23.101
Problem 53 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 277 277 189 196 0 0 0 0 260
normalized size 1 1. 0.68 0.71 0. 0. 0. 0. 0.94
time (sec) N/A 0.499 0.317 0.028 0. 0. 0. 0. 49.603
Problem 54 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 137 137 116 142 0 0 0 0 133
normalized size 1 1. 0.85 1.04 0. 0. 0. 0. 0.97
time (sec) N/A 0.251 0.408 0.032 0. 0. 0. 0. 23.276
Problem 55 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 306 306 205 223 0 0 0 0 284
normalized size 1 1. 0.67 0.73 0. 0. 0. 0. 0.93
time (sec) N/A 0.613 0.414 0.032 0. 0. 0. 0. 60.929
Problem 56 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 163 163 150 169 0 0 0 0 158
normalized size 1 1. 0.92 1.04 0. 0. 0. 0. 0.97
time (sec) N/A 0.338 0.297 0.031 0. 0. 0. 0. 31.369
Problem 57 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 140 140 138 149 0 0 0 0 134
normalized size 1 1. 0.99 1.06 0. 0. 0. 0. 0.96
time (sec) N/A 0.271 0.134 0.025 0. 0. 0. 0. 23.676
Problem 58 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 258 258 170 178 0 0 0 0 241
normalized size 1 1. 0.66 0.69 0. 0. 0. 0. 0.93
time (sec) N/A 0.433 0.204 0.023 0. 0. 0. 0. 40.86
Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 116 116 101 127 0 0 0 0 109
normalized size 1 1. 0.87 1.09 0. 0. 0. 0. 0.94
time (sec) N/A 0.193 0.234 0.023 0. 0. 0. 0. 16.702
Problem 60 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 229 229 108 158 0 0 0 0 214
normalized size 1 1. 0.47 0.69 0. 0. 0. 0. 0.93
time (sec) N/A 0.341 0.076 0.023 0. 0. 0. 0. 31.567
Problem 61 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 92 92 85 108 0 0 0 0 90
normalized size 1 1. 0.92 1.17 0. 0. 0. 0. 0.98
time (sec) N/A 0.115 0.037 0.02 0. 0. 0. 0. 9.203
Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 253 253 170 182 0 0 0 0 233
normalized size 1 1. 0.67 0.72 0. 0. 0. 0. 0.92
time (sec) N/A 0.427 0.164 0.025 0. 0. 0. 0. 40.952
Problem 63 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 119 119 106 129 0 0 0 0 114
normalized size 1 1. 0.89 1.08 0. 0. 0. 0. 0.96
time (sec) N/A 0.191 0.233 0.027 0. 0. 0. 0. 16.51
Problem 64 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 286 286 195 204 0 0 0 0 267
normalized size 1 1. 0.68 0.71 0. 0. 0. 0. 0.93
time (sec) N/A 0.531 0.218 0.03 0. 0. 0. 0. 50.709
Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F(-2) F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 161 161 137 172 0 0 0 0 153
normalized size 1 1. 0.85 1.07 0. 0. 0. 0. 0.95
time (sec) N/A 0.36 0.14 0.032 0. 0. 0. 0. 32.273
Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F(-2) F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 279 279 173 200 0 0 0 0 260
normalized size 1 1. 0.62 0.72 0. 0. 0. 0. 0.93
time (sec) N/A 0.534 0.178 0.028 0. 0. 0. 0. 51.415
Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F(-2) F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 137 124 147 0 0 0 0 129
normalized size 1 1. 0.91 1.07 0. 0. 0. 0. 0.94
time (sec) N/A 0.268 0.117 0.028 0. 0. 0. 0. 24.984
Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F(-2) F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 253 253 161 182 0 0 0 0 235
normalized size 1 1. 0.64 0.72 0. 0. 0. 0. 0.93
time (sec) N/A 0.436 0.135 0.028 0. 0. 0. 0. 41.554
Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F(-2) F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 111 130 0 0 0 0 107
normalized size 1 1. 0.97 1.13 0. 0. 0. 0. 0.93
time (sec) N/A 0.196 0.085 0.026 0. 0. 0. 0. 16.955
Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F(-2) F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 254 254 162 184 0 0 0 0 231
normalized size 1 1. 0.64 0.72 0. 0. 0. 0. 0.91
time (sec) N/A 0.441 0.127 0.026 0. 0. 0. 0. 41.798
Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F(-2) F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 114 114 110 132 0 0 0 0 107
normalized size 1 1. 0.96 1.16 0. 0. 0. 0. 0.94
time (sec) N/A 0.173 0.072 0.026 0. 0. 0. 0. 15.841
Problem 72 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 273 273 174 206 0 0 0 0 255
normalized size 1 1. 0.64 0.75 0. 0. 0. 0. 0.93
time (sec) N/A 0.473 0.179 0.029 0. 0. 0. 0. 49.676
Problem 73 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 139 139 106 150 0 0 0 0 133
normalized size 1 1. 0.76 1.08 0. 0. 0. 0. 0.96
time (sec) N/A 0.267 0.239 0.032 0. 0. 0. 0. 26.035
Problem 74 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 306 306 194 228 0 0 0 0 287
normalized size 1 1. 0.63 0.75 0. 0. 0. 0. 0.94
time (sec) N/A 0.617 0.187 0.035 0. 0. 0. 0. 65.28
Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 159 159 123 212 0 1 0 123 146
normalized size 1 1. 0.77 1.33 0. 0.01 0. 0.77 0.92
time (sec) N/A 0.417 0.141 0.017 0. 0.227 0. 0.264 41.757
Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 126 126 77 70 96 131 0 108 114
normalized size 1 1. 0.61 0.56 0.76 1.04 0. 0.86 0.9
time (sec) N/A 0.319 0.047 0.009 1.483 0.211 0. 0.231 32.261
Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 130 130 112 198 0 1 0 105 112
normalized size 1 1. 0.86 1.52 0. 0.01 0. 0.81 0.86
time (sec) N/A 0.328 0.135 0.019 0. 0.225 0. 0.259 34.84
Problem 78 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 101 101 66 59 74 116 0 86 92
normalized size 1 1. 0.65 0.58 0.73 1.15 0. 0.85 0.91
time (sec) N/A 0.25 0.046 0.009 1.526 0.214 0. 0.23 25.124
Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 34 27 0 82 0 23 19
normalized size 1 1. 1.36 1.08 0. 3.28 0. 0.92 0.76
time (sec) N/A 0.06 0.043 0.008 0. 0.212 0. 0.241 6.586
Problem 80 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 76 76 55 48 55 101 0 68 68
normalized size 1 1. 0.72 0.63 0.72 1.33 0. 0.89 0.89
time (sec) N/A 0.182 0.042 0.008 1.493 0.211 0. 0.23 18.583
Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 51 51 44 37 0 103 0 39 42
normalized size 1 1. 0.86 0.73 0. 2.02 0. 0.76 0.82
time (sec) N/A 0.121 0.046 0.008 0. 0.211 0. 0.235 12.247
Problem 82 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 51 51 44 37 32 86 0 45 44
normalized size 1 1. 0.86 0.73 0.63 1.69 0. 0.88 0.86
time (sec) N/A 0.121 0.034 0.007 1.5 0.21 0. 0.23 12.41
Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 76 76 55 48 0 117 0 58 66
normalized size 1 1. 0.72 0.63 0. 1.54 0. 0.76 0.87
time (sec) N/A 0.184 0.048 0.009 0. 0.211 0. 0.237 18.571
Problem 84 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 25 25 25 27 19 69 0 31 20
normalized size 1 1. 1. 1.08 0.76 2.76 0. 1.24 0.8
time (sec) N/A 0.062 0.028 0.006 1.453 0.211 0. 0.224 6.625
Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 101 101 66 59 0 128 0 74 90
normalized size 1 1. 0.65 0.58 0. 1.27 0. 0.73 0.89
time (sec) N/A 0.248 0.046 0.007 0. 0.212 0. 0.237 26.713
Problem 86 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 130 130 123 217 0 1 0 154 112
normalized size 1 1. 0.95 1.67 0. 0.01 0. 1.18 0.86
time (sec) N/A 0.328 0.201 0.017 0. 0.225 0. 0.231 34.434
Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 126 126 77 70 124 149 0 96 114
normalized size 1 1. 0.61 0.56 0.98 1.18 0. 0.76 0.9
time (sec) N/A 0.306 0.073 0.009 1.466 0.261 0. 0.26 32.629
Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 159 159 143 234 0 1 0 142 146
normalized size 1 1. 0.9 1.47 0. 0.01 0. 0.89 0.92
time (sec) N/A 0.393 0.209 0.018 0. 0.227 0. 1.629 41.644
Problem 89 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 152 152 88 81 142 163 0 116 139
normalized size 1 1. 0.58 0.53 0.93 1.07 0. 0.76 0.91
time (sec) N/A 0.384 0.068 0.009 1.517 0.304 0. 0.287 43.113
Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 189 189 157 247 0 1 0 165 177
normalized size 1 1. 0.83 1.31 0. 0.01 0. 0.87 0.94
time (sec) N/A 0.478 0.235 0.024 0. 0.227 0. 1.998 54.845
Problem 91 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 180 180 99 92 157 178 0 136 168
normalized size 1 1. 0.55 0.51 0.87 0.99 0. 0.76 0.93
time (sec) N/A 0.455 0.085 0.01 1.451 0.354 0. 0.284 52.087
Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 55 55 81 997 0 1 0 61 46
normalized size 1 1. 1.47 18.13 0. 0.02 0. 1.11 0.84
time (sec) N/A 0.123 0.069 0.048 0. 0.332 0. 0.241 12.868
Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 61 979 0 1 0 31 29
normalized size 1 1. 1.91 30.59 0. 0.03 0. 0.97 0.91
time (sec) N/A 0.056 0.03 0.028 0. 0.326 0. 0.225 6.762
Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 23 27 35 26 0 19 20
normalized size 1 1. 1. 1.17 1.52 1.13 0. 0.83 0.87
time (sec) N/A 0.059 0.026 0.006 1.407 0.213 0. 0.22 7.043
Problem 95 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 48 48 31 35 51 39 0 36 42
normalized size 1 1. 0.65 0.73 1.06 0.81 0. 0.75 0.88
time (sec) N/A 0.118 0.035 0.007 1.411 0.216 0. 0.223 12.271
Problem 96 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 44 48 68 54 0 58 68
normalized size 1 1. 0.59 0.65 0.92 0.73 0. 0.78 0.92
time (sec) N/A 0.182 0.044 0.008 1.417 0.214 0. 0.222 18.467
Problem 97 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 NO TBD TBD TBD TBD TBD TBD
size 224 224 174 688 0 0 0 0 199
normalized size 1 1. 0.78 3.07 0. 0. 0. 0. 0.89
time (sec) N/A 0.416 0.356 0.029 0. 0. 0. 0. 21.82
Problem 98 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 NO TBD TBD TBD TBD TBD TBD
size 197 197 147 671 0 0 0 0 182
normalized size 1 1. 0.75 3.41 0. 0. 0. 0. 0.92
time (sec) N/A 0.26 0.19 0.028 0. 0. 0. 0. 12.432
Problem 99 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 NO TBD TBD TBD TBD TBD TBD
size 225 225 172 696 0 0 0 0 207
normalized size 1 1. 0.76 3.09 0. 0. 0. 0. 0.92
time (sec) N/A 0.365 0.526 0.035 0. 0. 0. 0. 21.641
Problem 100 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 NO TBD TBD TBD TBD TBD TBD
size 503 503 355 1079 0 0 0 0 454
normalized size 1 1. 0.71 2.15 0. 0. 0. 0. 0.9
time (sec) N/A 0.972 1.486 0.028 0. 0. 0. 0. 59.806
Problem 101 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 NO TBD TBD TBD TBD TBD TBD
size 474 474 333 1054 0 0 0 0 423
normalized size 1 1. 0.7 2.22 0. 0. 0. 0. 0.89
time (sec) N/A 0.784 1.334 0.027 0. 0. 0. 0. 45.279
Problem 102 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 NO TBD TBD TBD TBD TBD TBD
size 497 497 334 1083 0 0 0 0 445
normalized size 1 1. 0.67 2.18 0. 0. 0. 0. 0.9
time (sec) N/A 0.936 1.273 0.031 0. 0. 0. 0. 55.926
Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-1) F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 174 174 115 227 0 0 0 150 163
normalized size 1 1. 0.66 1.3 0. 0. 0. 0.86 0.94
time (sec) N/A 0.334 0.164 0.023 0. 0. 0. 0.279 33.241
Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) F(-1) F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 116 116 89 185 0 0 0 112 107
normalized size 1 1. 0.77 1.59 0. 0. 0. 0.97 0.92
time (sec) N/A 0.199 0.105 0.01 0. 0. 0. 0.278 19.562
Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-1) F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 56 56 62 83 0 0 0 73 49
normalized size 1 1. 1.11 1.48 0. 0. 0. 1.3 0.88
time (sec) N/A 0.107 0.047 0.005 0. 0. 0. 0.274 9.472
Problem 106 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 25 25 25 153 23 26 0 34 22
normalized size 1 1. 1. 6.12 0.92 1.04 0. 1.36 0.88
time (sec) N/A 0.068 0.026 0.016 1.454 0.268 0. 0.224 6.643
Problem 107 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 84 84 48 210 70 57 0 113 75
normalized size 1 1. 0.57 2.5 0.83 0.68 0. 1.35 0.89
time (sec) N/A 0.2 0.035 0.015 6.681 0.266 0. 0.226 17.838
Problem 108 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 142 142 72 254 116 86 0 197 131
normalized size 1 1. 0.51 1.79 0.82 0.61 0. 1.39 0.92
time (sec) N/A 0.349 0.044 0.016 5.317 0.269 0. 0.227 32.024
Problem 109 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 200 200 96 298 162 116 0 281 187
normalized size 1 1. 0.48 1.49 0.81 0.58 0. 1.4 0.94
time (sec) N/A 0.518 0.054 0.02 1.453 0.276 0. 0.228 49.35
Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F F(-1) F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 197 197 137 553 0 0 0 0 185
normalized size 1 1. 0.7 2.81 0. 0. 0. 0. 0.94
time (sec) N/A 0.392 0.22 0.016 0. 0. 0. 0. 40.772
Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F F(-1) F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 139 139 113 507 0 0 0 0 129
normalized size 1 1. 0.81 3.65 0. 0. 0. 0. 0.93
time (sec) N/A 0.269 0.159 0.013 0. 0. 0. 0. 26.905
Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F F(-1) F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 84 242 0 0 0 0 70
normalized size 1 1. 1.09 3.14 0. 0. 0. 0. 0.91
time (sec) N/A 0.146 0.11 0.011 0. 0. 0. 0. 14.653
Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 31 405 0 49 0 46 20
normalized size 1 1. 1.24 16.2 0. 1.96 0. 1.84 0.8
time (sec) N/A 0.014 0.021 0.014 0. 0.252 0. 0.222 1.362
Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 79 79 57 516 49 85 0 0 70
normalized size 1 1. 0.72 6.53 0.62 1.08 0. 0. 0.89
time (sec) N/A 0.199 0.043 0.018 1.491 0.255 0. 0. 18.315
Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 137 81 562 78 117 0 0 126
normalized size 1 1. 0.59 4.1 0.57 0.85 0. 0. 0.92
time (sec) N/A 0.344 0.049 0.017 1.461 0.263 0. 0. 33.153
Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 195 195 105 606 108 147 0 0 182
normalized size 1 1. 0.54 3.11 0.55 0.75 0. 0. 0.93
time (sec) N/A 0.523 0.063 0.02 1.467 0.263 0. 0. 49.577
Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-1) F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 204 204 128 249 0 0 0 169 190
normalized size 1 1. 0.63 1.22 0. 0. 0. 0.83 0.93
time (sec) N/A 0.388 0.173 0.013 0. 0. 0. 0.279 40.806
Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-1) F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 146 146 102 207 0 0 0 131 134
normalized size 1 1. 0.7 1.42 0. 0. 0. 0.9 0.92
time (sec) N/A 0.272 0.135 0.009 0. 0. 0. 0.281 26.873
Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) F(-1) F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 87 87 80 163 0 0 0 93 78
normalized size 1 1. 0.92 1.87 0. 0. 0. 1.07 0.9
time (sec) N/A 0.162 0.084 0.009 0. 0. 0. 0.277 16.291
Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) F(-1) F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 40 136 0 0 0 50 31
normalized size 1 1. 1.18 4. 0. 0. 0. 1.47 0.91
time (sec) N/A 0.087 0.033 0.012 0. 0. 0. 0.272 8.365
Problem 121 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 54 54 37 186 47 39 0 72 46
normalized size 1 1. 0.69 3.44 0.87 0.72 0. 1.33 0.85
time (sec) N/A 0.132 0.029 0.014 1.437 0.262 0. 0.231 11.893
Problem 122 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 112 112 59 232 93 68 0 155 102
normalized size 1 1. 0.53 2.07 0.83 0.61 0. 1.38 0.91
time (sec) N/A 0.268 0.038 0.015 1.462 0.263 0. 0.226 24.654
Problem 123 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 170 170 83 276 139 97 0 239 158
normalized size 1 1. 0.49 1.62 0.82 0.57 0. 1.41 0.93
time (sec) N/A 0.422 0.049 0.016 1.505 0.266 0. 0.227 40.59
Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F F(-1) F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 171 171 124 531 0 0 0 0 160
normalized size 1 1. 0.73 3.11 0. 0. 0. 0. 0.94
time (sec) N/A 0.32 0.19 0.014 0. 0. 0. 0. 33.56
Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F F(-1) F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 113 113 100 444 0 0 0 0 104
normalized size 1 1. 0.88 3.93 0. 0. 0. 0. 0.92
time (sec) N/A 0.228 0.143 0.014 0. 0. 0. 0. 21.295
Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F F(-1) F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 72 238 0 0 0 0 53
normalized size 1 1. 1.2 3.97 0. 0. 0. 0. 0.88
time (sec) N/A 0.14 0.073 0.006 0. 0. 0. 0. 12.255
Problem 127 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 30 30 45 112 34 73 0 35 29
normalized size 1 1. 1.5 3.73 1.13 2.43 0. 1.17 0.97
time (sec) N/A 0.081 0.04 0.015 1.497 0.27 0. 0.22 7.463
Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 107 107 70 540 61 107 0 0 95
normalized size 1 1. 0.65 5.05 0.57 1. 0. 0. 0.89
time (sec) N/A 0.268 0.051 0.017 1.517 0.255 0. 0. 25.007
Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 165 165 96 584 93 136 0 0 153
normalized size 1 1. 0.58 3.54 0.56 0.82 0. 0. 0.93
time (sec) N/A 0.426 0.063 0.017 1.478 0.258 0. 0. 41.169
Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 223 223 120 628 123 166 0 0 209
normalized size 1 1. 0.54 2.82 0.55 0.74 0. 0. 0.94
time (sec) N/A 0.587 0.072 0.02 1.536 0.262 0. 0. 59.131
Problem 131 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 301 301 155 264 0 0 0 0 289
normalized size 1 1. 0.51 0.88 0. 0. 0. 0. 0.96
time (sec) N/A 0.896 0.128 0.05 0. 0. 0. 0. 80.998
Problem 132 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 411 411 131 273 0 0 0 0 382
normalized size 1 1. 0.32 0.66 0. 0. 0. 0. 0.93
time (sec) N/A 1.066 0.085 0.025 0. 0. 0. 0. 96.912
Problem 133 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 213 213 118 198 0 0 0 0 204
normalized size 1 1. 0.55 0.93 0. 0. 0. 0. 0.96
time (sec) N/A 0.553 0.084 0.023 0. 0. 0. 0. 47.433
Problem 134 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 323 323 94 207 0 0 0 0 298
normalized size 1 1. 0.29 0.64 0. 0. 0. 0. 0.92
time (sec) N/A 0.654 0.069 0.023 0. 0. 0. 0. 55.384
Problem 135 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 123 123 71 132 0 0 0 0 119
normalized size 1 1. 0.58 1.07 0. 0. 0. 0. 0.97
time (sec) N/A 0.287 0.06 0.021 0. 0. 0. 0. 24.529
Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 325 325 97 213 0 0 0 0 296
normalized size 1 1. 0.3 0.66 0. 0. 0. 0. 0.91
time (sec) N/A 0.694 0.068 0.033 0. 0. 0. 0. 62.845
Problem 137 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 188 188 108 179 0 0 0 0 180
normalized size 1 1. 0.57 0.95 0. 0. 0. 0. 0.96
time (sec) N/A 0.47 0.079 0.034 0. 0. 0. 0. 40.006
Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 413 413 136 281 0 0 0 0 382
normalized size 1 1. 0.33 0.68 0. 0. 0. 0. 0.92
time (sec) N/A 1.038 0.087 0.033 0. 0. 0. 0. 103.393
Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 276 276 145 245 0 0 0 0 265
normalized size 1 1. 0.53 0.89 0. 0. 0. 0. 0.96
time (sec) N/A 0.763 0.099 0.037 0. 0. 0. 0. 74.636
Problem 140 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 Yes TBD TBD TBD TBD TBD TBD
size 298 298 155 196 0 0 0 0 286
normalized size 1 1. 0.52 0.66 0. 0. 0. 0. 0.96
time (sec) N/A 0.88 0.112 0.042 0. 0. 0. 0. 87.122
Problem 141 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 408 408 131 261 0 0 0 0 379
normalized size 1 1. 0.32 0.64 0. 0. 0. 0. 0.93
time (sec) N/A 1.024 0.096 0.03 0. 0. 0. 0. 94.504
Problem 142 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 208 208 118 163 0 0 0 0 199
normalized size 1 1. 0.57 0.78 0. 0. 0. 0. 0.96
time (sec) N/A 0.498 0.098 0.029 0. 0. 0. 0. 43.466
Problem 143 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 319 319 91 228 0 0 0 0 294
normalized size 1 1. 0.29 0.71 0. 0. 0. 0. 0.92
time (sec) N/A 0.634 0.073 0.028 0. 0. 0. 0. 54.863
Problem 144 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 144 144 82 130 0 0 0 0 138
normalized size 1 1. 0.57 0.9 0. 0. 0. 0. 0.96
time (sec) N/A 0.368 0.068 0.033 0. 0. 0. 0. 30.554
Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 350 350 108 339 0 0 0 0 320
normalized size 1 1. 0.31 0.97 0. 0. 0. 0. 0.91
time (sec) N/A 0.796 0.087 0.038 0. 0. 0. 0. 72.951
Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 213 213 123 168 0 0 0 0 204
normalized size 1 1. 0.58 0.79 0. 0. 0. 0. 0.96
time (sec) N/A 0.55 0.085 0.04 0. 0. 0. 0. 48.713
Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 438 438 145 411 0 0 0 0 406
normalized size 1 1. 0.33 0.94 0. 0. 0. 0. 0.93
time (sec) N/A 1.152 0.098 0.043 0. 0. 0. 0. 109.694
Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 301 301 160 201 0 0 0 0 289
normalized size 1 1. 0.53 0.67 0. 0. 0. 0. 0.96
time (sec) N/A 0.855 0.113 0.044 0. 0. 0. 0. 79.405
Problem 149 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 Yes TBD TBD TBD TBD TBD TBD
size 304 304 155 196 0 0 0 0 292
normalized size 1 1. 0.51 0.64 0. 0. 0. 0. 0.96
time (sec) N/A 0.9 0.119 0.054 0. 0. 0. 0. 81.796
Problem 150 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 414 414 131 261 0 0 0 0 386
normalized size 1 1. 0.32 0.63 0. 0. 0. 0. 0.93
time (sec) N/A 1.075 0.095 0.042 0. 0. 0. 0. 97.585
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 Yes TBD TBD TBD TBD TBD TBD
size 216 216 118 163 0 0 0 0 207
normalized size 1 1. 0.55 0.75 0. 0. 0. 0. 0.96
time (sec) N/A 0.587 0.086 0.011 0. 0. 0. 0. 49.245
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 Yes TBD TBD TBD TBD TBD TBD
size 326 326 94 228 0 0 0 0 301
normalized size 1 1. 0.29 0.7 0. 0. 0. 0. 0.92
time (sec) N/A 0.684 0.074 0.013 0. 0. 0. 0. 59.446
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 Yes TBD TBD TBD TBD TBD TBD
size 126 126 73 127 0 0 0 0 119
normalized size 1 1. 0.58 1.01 0. 0. 0. 0. 0.94
time (sec) N/A 0.242 0.063 0.006 0. 0. 0. 0. 18.296
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 Yes TBD TBD TBD TBD TBD TBD
size 294 294 74 254 0 0 0 0 269
normalized size 1 1. 0.25 0.86 0. 0. 0. 0. 0.91
time (sec) N/A 0.595 0.066 0.03 0. 0. 0. 0. 50.305
Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 163 163 97 142 0 0 0 0 156
normalized size 1 1. 0.6 0.87 0. 0. 0. 0. 0.96
time (sec) N/A 0.39 0.078 0.035 0. 0. 0. 0. 30.983
Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 388 388 121 363 0 0 0 0 359
normalized size 1 1. 0.31 0.94 0. 0. 0. 0. 0.93
time (sec) N/A 0.932 0.093 0.042 0. 0. 0. 0. 82.647
Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 251 251 134 179 0 0 0 0 241
normalized size 1 1. 0.53 0.71 0. 0. 0. 0. 0.96
time (sec) N/A 0.677 0.102 0.041 0. 0. 0. 0. 57.689
Problem 158 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 Yes TBD TBD TBD TBD TBD TBD
size 437 437 131 384 0 0 0 0 408
normalized size 1 1. 0.3 0.88 0. 0. 0. 0. 0.93
time (sec) N/A 1.203 0.109 0.044 0. 0. 0. 0. 110.803
Problem 159 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 239 239 118 260 0 0 0 0 230
normalized size 1 1. 0.49 1.09 0. 0. 0. 0. 0.96
time (sec) N/A 0.684 0.09 0.039 0. 0. 0. 0. 59.235
Problem 160 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 349 349 94 312 0 0 0 0 323
normalized size 1 1. 0.27 0.89 0. 0. 0. 0. 0.93
time (sec) N/A 0.842 0.078 0.017 0. 0. 0. 0. 72.219
Problem 161 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 149 149 76 184 0 0 0 0 143
normalized size 1 1. 0.51 1.23 0. 0. 0. 0. 0.96
time (sec) N/A 0.376 0.072 0.012 0. 0. 0. 0. 30.591
Problem 162 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 296 296 65 243 0 0 0 0 270
normalized size 1 1. 0.22 0.82 0. 0. 0. 0. 0.91
time (sec) N/A 0.533 0.055 0.007 0. 0. 0. 0. 46.212
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 Yes TBD TBD TBD TBD TBD TBD
size 158 158 81 180 0 0 0 0 151
normalized size 1 1. 0.51 1.14 0. 0. 0. 0. 0.96
time (sec) N/A 0.393 0.078 0.017 0. 0. 0. 0. 31.608
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 Yes TBD TBD TBD TBD TBD TBD
size 383 383 108 339 0 0 0 0 354
normalized size 1 1. 0.28 0.89 0. 0. 0. 0. 0.92
time (sec) N/A 0.927 0.089 0.02 0. 0. 0. 0. 83.599
Problem 165 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 Yes TBD TBD TBD TBD TBD TBD
size 246 246 123 261 0 0 0 0 236
normalized size 1 1. 0.5 1.06 0. 0. 0. 0. 0.96
time (sec) N/A 0.672 0.1 0.019 0. 0. 0. 0. 58.709
Problem 166 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 Yes TBD TBD TBD TBD TBD TBD
size 471 471 145 411 0 0 0 0 439
normalized size 1 1. 0.31 0.87 0. 0. 0. 0. 0.93
time (sec) N/A 1.296 0.119 0.021 0. 0. 0. 0. 126.07
Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A F(-1) F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 371 371 185 156 293 0 0 323 352
normalized size 1 1. 0.5 0.42 0.79 0. 0. 0.87 0.95
time (sec) N/A 1.089 0.089 0.016 1.449 0. 0. 0.233 113.452
Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A F(-1) F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 283 283 148 123 224 0 0 254 267
normalized size 1 1. 0.52 0.43 0.79 0. 0. 0.9 0.94
time (sec) N/A 0.757 0.063 0.006 1.454 0. 0. 0.228 75.039
Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A F(-1) F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 195 195 111 90 155 0 0 185 182
normalized size 1 1. 0.57 0.46 0.79 0. 0. 0.95 0.93
time (sec) N/A 0.47 0.059 0.007 1.471 0. 0. 0.228 43.798
Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A F(-1) F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 109 109 74 57 86 0 0 116 99
normalized size 1 1. 0.68 0.52 0.79 0. 0. 1.06 0.91
time (sec) N/A 0.237 0.037 0.004 1.441 0. 0. 0.226 20.749
Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A F(-1) F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 29 27 19 0 0 42 17
normalized size 1 1. 1.26 1.17 0.83 0. 0. 1.83 0.74
time (sec) N/A 0.07 0.028 0.005 1.409 0. 0. 0.222 6.713
Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-1) F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 90 90 76 79 0 0 0 103 80
normalized size 1 1. 0.84 0.88 0. 0. 0. 1.14 0.89
time (sec) N/A 0.241 0.127 0.005 0. 0. 0. 0.245 20.052
Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-1) F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 178 178 112 125 0 0 0 176 165
normalized size 1 1. 0.63 0.7 0. 0. 0. 0.99 0.93
time (sec) N/A 0.507 0.177 0.018 0. 0. 0. 0.285 43.374
Problem 174 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 266 266 149 167 0 0 0 244 250
normalized size 1 1. 0.56 0.63 0. 0. 0. 0.92 0.94
time (sec) N/A 0.804 0.251 0.023 0. 0. 0. 0.348 73.662
Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-1) F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 354 354 190 209 0 0 0 313 0
normalized size 1 1. 0.54 0.59 0. 0. 0. 0.88 0.
time (sec) N/A 1.134 0.356 0.024 0. 0. 0. 0.51 0.
Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A F(-1) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 343 343 172 145 228 0 0 630 325
normalized size 1 1. 0.5 0.42 0.66 0. 0. 1.84 0.95
time (sec) N/A 0.953 0.115 0.007 1.536 0. 0. 0.249 100.082
Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A F(-1) F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 255 255 135 112 171 0 0 493 240
normalized size 1 1. 0.53 0.44 0.67 0. 0. 1.93 0.94
time (sec) N/A 0.651 0.089 0.007 1.514 0. 0. 0.235 64.344
Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A F(-1) F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 169 169 98 79 115 0 0 355 156
normalized size 1 1. 0.58 0.47 0.68 0. 0. 2.1 0.92
time (sec) N/A 0.4 0.07 0.006 1.512 0. 0. 0.233 36.2
Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A F(-1) F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 84 84 63 48 63 0 0 200 75
normalized size 1 1. 0.75 0.57 0.75 0. 0. 2.38 0.89
time (sec) N/A 0.217 0.049 0.007 1.439 0. 0. 0.235 17.786
Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-1) F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 63 69 0 0 0 134 70
normalized size 1 1. 0.81 0.88 0. 0. 0. 1.72 0.9
time (sec) N/A 0.229 0.118 0.006 0. 0. 0. 0.228 19.447
Problem 181 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 113 113 92 93 0 0 0 146 100
normalized size 1 1. 0.81 0.82 0. 0. 0. 1.29 0.88
time (sec) N/A 0.318 0.135 0.005 0. 0. 0. 0.255 26.327
Problem 182 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 203 203 127 139 0 0 0 231 187
normalized size 1 1. 0.63 0.68 0. 0. 0. 1.14 0.92
time (sec) N/A 0.583 0.238 0.019 0. 0. 0. 0.315 50.829
Problem 183 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 291 291 164 181 0 0 0 316 269
normalized size 1 1. 0.56 0.62 0. 0. 0. 1.09 0.92
time (sec) N/A 0.882 0.298 0.022 0. 0. 0. 0.422 83.006
Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-1) F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 379 379 201 223 0 0 0 401 0
normalized size 1 1. 0.53 0.59 0. 0. 0. 1.06 0.
time (sec) N/A 1.225 0.476 0.028 0. 0. 0. 0.542 0.
Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A F(-1) F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 401 401 185 167 316 0 0 348 0
normalized size 1 1. 0.46 0.42 0.79 0. 0. 0.87 0.
time (sec) N/A 1.25 0.098 0.007 1.487 0. 0. 0.24 0.
Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A F(-1) F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 313 313 148 134 247 0 0 279 298
normalized size 1 1. 0.47 0.43 0.79 0. 0. 0.89 0.95
time (sec) N/A 0.9 0.073 0.007 1.45 0. 0. 0.227 87.221
Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A F(-1) F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 225 225 111 101 178 0 0 211 212
normalized size 1 1. 0.49 0.45 0.79 0. 0. 0.94 0.94
time (sec) N/A 0.583 0.058 0.007 1.449 0. 0. 0.229 52.95
Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A F(-1) F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 137 74 68 109 0 0 142 128
normalized size 1 1. 0.54 0.5 0.8 0. 0. 1.04 0.93
time (sec) N/A 0.307 0.042 0.007 1.463 0. 0. 0.224 26.466
Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A F(-1) F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 47 47 37 36 41 0 0 62 41
normalized size 1 1. 0.79 0.77 0.87 0. 0. 1.32 0.87
time (sec) N/A 0.09 0.022 0.005 1.487 0. 0. 0.222 7.711
Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-1) F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 61 61 61 61 0 0 0 77 54
normalized size 1 1. 1. 1. 0. 0. 0. 1.26 0.89
time (sec) N/A 0.164 0.08 0.006 0. 0. 0. 0.241 13.019
Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-1) F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 153 153 101 126 0 0 0 155 141
normalized size 1 1. 0.66 0.82 0. 0. 0. 1.01 0.92
time (sec) N/A 0.411 0.164 0.011 0. 0. 0. 0.279 34.009
Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-1) F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 241 241 138 188 0 0 0 224 226
normalized size 1 1. 0.57 0.78 0. 0. 0. 0.93 0.94
time (sec) N/A 0.681 0.264 0.01 0. 0. 0. 0.34 61.854
Problem 193 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 329 329 175 248 0 0 0 293 311
normalized size 1 1. 0.53 0.75 0. 0. 0. 0.89 0.95
time (sec) N/A 1.013 0.335 0.011 0. 0. 0. 0.473 96.844
Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A F(-1) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 336 336 172 143 270 0 0 311 320
normalized size 1 1. 0.51 0.43 0.8 0. 0. 0.93 0.95
time (sec) N/A 1.007 0.093 0.01 1.49 0. 0. 0.24 99.297
Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A F(-1) F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 248 248 135 110 201 0 0 242 235
normalized size 1 1. 0.54 0.44 0.81 0. 0. 0.98 0.95
time (sec) N/A 0.684 0.069 0.01 1.459 0. 0. 0.232 63.539
Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A F(-1) F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 160 160 98 77 132 0 0 173 150
normalized size 1 1. 0.61 0.48 0.82 0. 0. 1.08 0.94
time (sec) N/A 0.398 0.056 0.01 1.437 0. 0. 0.23 34.945
Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A F(-1) F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 68 68 45 45 63 0 0 103 61
normalized size 1 1. 0.66 0.66 0.93 0. 0. 1.51 0.9
time (sec) N/A 0.143 0.055 0.01 1.432 0. 0. 0.224 12.823
Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-1) F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 71 55 0 0 0 117 53
normalized size 1 1. 1.18 0.92 0. 0. 0. 1.95 0.88
time (sec) N/A 0.103 0.108 0.005 0. 0. 0. 0.226 8.959
Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-1) F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 146 146 112 88 0 0 0 166 134
normalized size 1 1. 0.77 0.6 0. 0. 0. 1.14 0.92
time (sec) N/A 0.399 0.221 0.005 0. 0. 0. 0.293 35.483
Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-1) F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 236 236 149 126 0 0 0 235 221
normalized size 1 1. 0.63 0.53 0. 0. 0. 1. 0.94
time (sec) N/A 0.688 0.302 0.026 0. 0. 0. 0.369 62.493
Problem 201 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 324 324 186 159 0 0 0 304 306
normalized size 1 1. 0.57 0.49 0. 0. 0. 0.94 0.94
time (sec) N/A 0.977 0.383 0.03 0. 0. 0. 0.518 97.431
Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-1) F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 412 412 224 192 0 0 0 373 0
normalized size 1 1. 0.54 0.47 0. 0. 0. 0.91 0.
time (sec) N/A 1.345 0.718 0.037 0. 0. 0. 0.771 0.
Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 14 18 1 12 18 12
normalized size 1 1. 1. 0.82 1.06 0.06 0.71 1.06 0.71
time (sec) N/A 0.014 0.002 0.001 1.38 0.221 0.066 0.215 3.666
Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 14 18 1 12 18 12
normalized size 1 1. 1. 0.82 1.06 0.06 0.71 1.06 0.71
time (sec) N/A 0.016 0.002 0.001 1.375 0.211 0.064 0.215 3.56
Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 14 18 1 12 18 12
normalized size 1 1. 1. 0.82 1.06 0.06 0.71 1.06 0.71
time (sec) N/A 0.013 0. 0.002 1.381 0.189 0.06 0.215 1.61
Problem 206 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 17 17 17 14 18 18 12 18 0
normalized size 1 1. 1. 0.82 1.06 1.06 0.71 1.06 0.
time (sec) N/A 0.016 0.001 0.002 1.375 0.207 0.06 0.216 0.
Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 11 14 14 8 14 0
normalized size 1 1. 1. 0.92 1.17 1.17 0.67 1.17 0.
time (sec) N/A 0.012 0.001 0.002 1.392 0.211 0.066 0.217 0.
Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 30 30 30 25 32 1 24 32 24
normalized size 1 1. 1. 0.83 1.07 0.03 0.8 1.07 0.8
time (sec) N/A 0.056 0.003 0.001 1.379 0.195 0.094 0.217 8.061
Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 30 30 30 25 32 1 26 32 26
normalized size 1 1. 1. 0.83 1.07 0.03 0.87 1.07 0.87
time (sec) N/A 0.047 0.003 0. 1.427 0.194 0.092 0.217 7.522
Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 30 30 30 25 32 1 24 32 24
normalized size 1 1. 1. 0.83 1.07 0.03 0.8 1.07 0.8
time (sec) N/A 0.041 0.002 0.001 1.468 0.188 0.088 0.218 3.282
Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 30 30 30 25 32 32 26 32 26
normalized size 1 1. 1. 0.83 1.07 1.07 0.87 1.07 0.87
time (sec) N/A 0.04 0.002 0.002 1.405 0.198 0.087 0.217 6.932
Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 30 30 30 25 32 32 24 32 24
normalized size 1 1. 1. 0.83 1.07 1.07 0.8 1.07 0.8
time (sec) N/A 0.036 0.002 0.002 1.419 0.202 0.088 0.217 6.536
Problem 213 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 57 57 57 52 70 70 49 72 0
normalized size 1 1. 1. 0.91 1.23 1.23 0.86 1.26 0.
time (sec) N/A 0.071 0.007 0.005 1.375 0.204 1.142 0.219 0.
Problem 214 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 44 44 44 41 57 55 37 58 0
normalized size 1 1. 1. 0.93 1.3 1.25 0.84 1.32 0.
time (sec) N/A 0.054 0.006 0.005 1.379 0.207 1.135 0.217 0.
Problem 215 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 31 31 31 30 39 39 26 41 0
normalized size 1 1. 1. 0.97 1.26 1.26 0.84 1.32 0.
time (sec) N/A 0.043 0.005 0.003 1.379 0.207 1.096 0.217 0.
Problem 216 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 18 18 18 19 24 23 14 26 0
normalized size 1 1. 1. 1.06 1.33 1.28 0.78 1.44 0.
time (sec) N/A 0.032 0.004 0.003 1.375 0.212 1.048 0.218 0.
Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 10 11 14 14 7 15 7
normalized size 1 1. 1. 1.1 1.4 1.4 0.7 1.5 0.7
time (sec) N/A 0.021 0.002 0.001 1.397 0.204 0.092 0.219 2.806
Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 18 18 18 19 24 22 10 27 12
normalized size 1 1. 1. 1.06 1.33 1.22 0.56 1.5 0.67
time (sec) N/A 0.022 0.006 0.008 1.381 0.213 0.335 0.219 4.521
Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 28 28 28 29 38 35 19 41 24
normalized size 1 1. 1. 1.04 1.36 1.25 0.68 1.46 0.86
time (sec) N/A 0.035 0.007 0.016 1.38 0.222 1.271 0.219 14.127
Problem 220 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 41 54 55 31 61 37
normalized size 1 1. 1. 0.98 1.29 1.31 0.74 1.45 0.88
time (sec) N/A 0.049 0.007 0.011 1.377 0.222 1.396 0.222 9.153
Problem 221 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 56 56 56 53 69 73 44 76 49
normalized size 1 1. 1. 0.95 1.23 1.3 0.79 1.36 0.88
time (sec) N/A 0.058 0.008 0.011 1.394 0.231 1.516 0.217 10.865
Problem 222 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 58 58 54 57 80 99 54 84 0
normalized size 1 1. 0.93 0.98 1.38 1.71 0.93 1.45 0.
time (sec) N/A 0.082 0.033 0.01 1.375 0.209 1.414 0.219 0.
Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 43 45 63 84 44 65 0
normalized size 1 1. 0.93 0.98 1.37 1.83 0.96 1.41 0.
time (sec) N/A 0.071 0.022 0.011 1.382 0.217 1.346 0.219 0.
Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 29 34 49 63 31 46 0
normalized size 1 1. 0.88 1.03 1.48 1.91 0.94 1.39 0.
time (sec) N/A 0.053 0.021 0.01 1.416 0.215 1.288 0.219 0.
Problem 225 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 23 23 20 24 35 38 20 32 19
normalized size 1 1. 0.87 1.04 1.52 1.65 0.87 1.39 0.83
time (sec) N/A 0.04 0.01 0.01 1.452 0.206 1.186 0.217 6.835
Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 12 13 18 18 10 16 8
normalized size 1 1. 0.57 0.62 0.86 0.86 0.48 0.76 0.38
time (sec) N/A 0.012 0.005 0.002 1.407 0.2 1.124 0.218 2.783
Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 24 30 38 53 22 42 24
normalized size 1 1. 0.83 1.03 1.31 1.83 0.76 1.45 0.83
time (sec) N/A 0.042 0.016 0.011 1.406 0.213 1.376 0.22 7.65
Problem 228 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 35 43 61 85 36 61 39
normalized size 1 1. 0.83 1.02 1.45 2.02 0.86 1.45 0.93
time (sec) N/A 0.058 0.07 0.017 7.047 0.216 1.578 0.219 10.157
Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 58 58 53 57 86 116 54 86 56
normalized size 1 1. 0.91 0.98 1.48 2. 0.93 1.48 0.97
time (sec) N/A 0.072 0.094 0.016 5.912 0.216 1.703 0.22 12.9
Problem 230 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 69 69 66 68 99 128 66 99 66
normalized size 1 1. 0.96 0.99 1.43 1.86 0.96 1.43 0.96
time (sec) N/A 0.085 0.091 0.014 1.392 0.219 1.842 0.218 27.177
Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 84 84 79 79 116 146 80 116 83
normalized size 1 1. 0.94 0.94 1.38 1.74 0.95 1.38 0.99
time (sec) N/A 0.104 0.076 0.017 1.435 0.216 2. 0.219 17.599
Problem 232 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 105 105 64 57 72 84 0 100 95
normalized size 1 1. 0.61 0.54 0.69 0.8 0. 0.95 0.9
time (sec) N/A 0.212 0.028 0.008 1.438 0.217 0. 0.221 21.633
Problem 233 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 80 80 53 46 57 69 0 80 71
normalized size 1 1. 0.66 0.57 0.71 0.86 0. 1. 0.89
time (sec) N/A 0.131 0.021 0.007 1.394 0.227 0. 0.22 13.931
Problem 234 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 52 52 41 35 41 53 0 51 46
normalized size 1 1. 0.79 0.67 0.79 1.02 0. 0.98 0.88
time (sec) N/A 0.08 0.015 0.005 1.405 0.216 0. 0.217 8.542
Problem 235 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 23 27 16 35 0 34 20
normalized size 1 1. 0.92 1.08 0.64 1.4 0. 1.36 0.8
time (sec) N/A 0.065 0.017 0.003 1.416 0.225 0. 0.218 7.5
Problem 236 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 51 51 53 52 0 1 0 88 44
normalized size 1 1. 1.04 1.02 0. 0.02 0. 1.73 0.86
time (sec) N/A 0.09 0.051 0.007 0. 0.227 0. 0.224 9.264
Problem 237 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 52 52 64 56 0 1 0 58 46
normalized size 1 1. 1.23 1.08 0. 0.02 0. 1.12 0.88
time (sec) N/A 0.093 0.044 0.01 0. 0.229 0. 0.239 9.357
Problem 238 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 84 84 81 73 0 1 0 92 71
normalized size 1 1. 0.96 0.87 0. 0.01 0. 1.1 0.85
time (sec) N/A 0.168 0.061 0.008 0. 0.238 0. 0.243 17.04
Problem 239 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 112 112 93 89 0 1 0 116 97
normalized size 1 1. 0.83 0.79 0. 0.01 0. 1.04 0.87
time (sec) N/A 0.245 0.075 0.008 0. 0.24 0. 0.262 24.558
Problem 240 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 161 161 80 79 116 128 0 294 150
normalized size 1 1. 0.5 0.49 0.72 0.8 0. 1.83 0.93
time (sec) N/A 0.357 0.047 0.009 1.411 0.216 0. 0.228 38.57
Problem 241 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 136 136 69 68 101 113 0 255 126
normalized size 1 1. 0.51 0.5 0.74 0.83 0. 1.88 0.93
time (sec) N/A 0.278 0.039 0.008 1.402 0.227 0. 0.224 28.936
Problem 242 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 108 108 58 57 86 99 0 213 100
normalized size 1 1. 0.54 0.53 0.8 0.92 0. 1.97 0.93
time (sec) N/A 0.227 0.034 0.007 1.405 0.22 0. 0.227 22.278
Problem 243 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 80 80 47 46 72 84 0 173 73
normalized size 1 1. 0.59 0.57 0.9 1.05 0. 2.16 0.91
time (sec) N/A 0.205 0.034 0.007 1.403 0.215 0. 0.223 19.58
Problem 244 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 52 52 36 35 55 68 0 124 46
normalized size 1 1. 0.69 0.67 1.06 1.31 0. 2.38 0.88
time (sec) N/A 0.134 0.032 0.004 1.394 0.234 0. 0.225 12.895
Problem 245 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 23 27 38 50 0 70 20
normalized size 1 1. 0.92 1.08 1.52 2. 0. 2.8 0.8
time (sec) N/A 0.067 0.022 0.003 1.518 0.228 0. 0.221 7.458
Problem 246 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 74 74 68 61 0 1 0 115 66
normalized size 1 1. 0.92 0.82 0. 0.01 0. 1.55 0.89
time (sec) N/A 0.163 0.082 0.006 0. 0.227 0. 0.226 15.907
Problem 247 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 73 73 66 72 0 1 0 84 65
normalized size 1 1. 0.9 0.99 0. 0.01 0. 1.15 0.89
time (sec) N/A 0.159 0.075 0.016 0. 0.241 0. 0.243 15.951
Problem 248 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 81 81 82 74 0 1 0 95 75
normalized size 1 1. 1.01 0.91 0. 0.01 0. 1.17 0.93
time (sec) N/A 0.16 0.07 0.017 0. 0.255 0. 0.248 16.309
Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 109 109 94 87 0 1 0 124 94
normalized size 1 1. 0.86 0.8 0. 0.01 0. 1.14 0.86
time (sec) N/A 0.235 0.087 0.019 0. 0.241 0. 0.267 24.603
Problem 250 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 137 137 104 101 0 1 0 147 122
normalized size 1 1. 0.76 0.74 0. 0.01 0. 1.07 0.89
time (sec) N/A 0.319 0.093 0.018 0. 0.236 0. 0.262 32.645
Problem 251 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 165 165 116 113 0 1 0 170 150
normalized size 1 1. 0.7 0.68 0. 0.01 0. 1.03 0.91
time (sec) N/A 0.404 0.12 0.02 0. 0.232 0. 0.285 41.656
Problem 252 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 103 103 53 55 72 69 0 0 94
normalized size 1 1. 0.51 0.53 0.7 0.67 0. 0. 0.91
time (sec) N/A 0.242 0.033 0.006 1.398 0.212 0. 0. 26.673
Problem 253 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 75 75 42 44 57 54 0 0 66
normalized size 1 1. 0.56 0.59 0.76 0.72 0. 0. 0.88
time (sec) N/A 0.161 0.026 0.009 1.398 0.218 0. 0. 19.039
Problem 254 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 49 49 30 33 41 38 0 0 41
normalized size 1 1. 0.61 0.67 0.84 0.78 0. 0. 0.84
time (sec) N/A 0.085 0.021 0.005 1.404 0.217 0. 0. 12.17
Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 21 25 16 28 0 35 17
normalized size 1 1. 0.91 1.09 0.7 1.22 0. 1.52 0.74
time (sec) N/A 0.013 0.012 0.004 1.405 0.214 0. 0.226 6.198
Problem 256 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 30 30 46 39 0 1 0 61 29
normalized size 1 1. 1.53 1.3 0. 0.03 0. 2.03 0.97
time (sec) N/A 0.026 0.022 0.007 0. 0.221 0. 0.223 2.353
Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 60 55 0 1 0 0 46
normalized size 1 1. 1.11 1.02 0. 0.02 0. 0. 0.85
time (sec) N/A 0.098 0.045 0.013 0. 0.229 0. 0. 9.848
Problem 258 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 87 87 83 77 0 1 0 0 78
normalized size 1 1. 0.95 0.89 0. 0.01 0. 0. 0.9
time (sec) N/A 0.164 0.059 0.008 0. 0.233 0. 0. 16.72
Problem 259 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 115 115 96 95 0 1 0 0 105
normalized size 1 1. 0.83 0.83 0. 0.01 0. 0. 0.91
time (sec) N/A 0.237 0.062 0.013 0. 0.24 0. 0. 24.367
Problem 260 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 98 98 50 56 55 81 0 0 88
normalized size 1 1. 0.51 0.57 0.56 0.83 0. 0. 0.9
time (sec) N/A 0.236 0.031 0.008 1.605 0.226 0. 0. 27.33
Problem 261 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 72 72 39 46 41 66 0 0 63
normalized size 1 1. 0.54 0.64 0.57 0.92 0. 0. 0.88
time (sec) N/A 0.159 0.025 0.007 1.421 0.221 0. 0. 19.261
Problem 262 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 47 47 26 34 26 51 0 38 39
normalized size 1 1. 0.55 0.72 0.55 1.09 0. 0.81 0.83
time (sec) N/A 0.09 0.02 0.005 1.438 0.215 0. 0.229 12.677
Problem 263 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 21 21 19 27 16 39 0 50 19
normalized size 1 1. 0.9 1.29 0.76 1.86 0. 2.38 0.9
time (sec) N/A 0.014 0.009 0.004 1.457 0.212 0. 0.233 7.624
Problem 264 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 52 52 54 54 0 1 0 0 46
normalized size 1 1. 1.04 1.04 0. 0.02 0. 0. 0.88
time (sec) N/A 0.099 0.031 0.007 0. 0.231 0. 0. 9.862
Problem 265 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 75 75 62 62 0 1 0 0 68
normalized size 1 1. 0.83 0.83 0. 0.01 0. 0. 0.91
time (sec) N/A 0.146 0.049 0.02 0. 0.231 0. 0. 15.694
Problem 266 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 110 110 84 76 0 1 0 4 100
normalized size 1 1. 0.76 0.69 0. 0.01 0. 0.04 0.91
time (sec) N/A 0.191 0.059 0.021 0. 0.231 0. 0.556 18.937
Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 138 138 96 86 0 1 0 0 129
normalized size 1 1. 0.7 0.62 0. 0.01 0. 0. 0.93
time (sec) N/A 0.323 0.068 0.023 0. 0.231 0. 0. 31.865
Problem 268 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 166 166 106 100 0 1 0 0 156
normalized size 1 1. 0.64 0.6 0. 0.01 0. 0. 0.94
time (sec) N/A 0.405 0.077 0.025 0. 0.232 0. 0. 40.599
Problem 269 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 125 125 103 103 0 1 0 86 114
normalized size 1 1. 0.82 0.82 0. 0.01 0. 0.69 0.91
time (sec) N/A 0.294 0.071 0.012 0. 0.231 0. 0.227 27.998
Problem 270 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 95 95 92 92 0 1 0 70 85
normalized size 1 1. 0.97 0.97 0. 0.01 0. 0.74 0.89
time (sec) N/A 0.22 0.051 0.009 0. 0.229 0. 0.226 20.736
Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 73 78 0 1 0 51 51
normalized size 1 1. 1.22 1.3 0. 0.02 0. 0.85 0.85
time (sec) N/A 0.145 0.045 0.007 0. 0.227 0. 0.226 14.069
Problem 272 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 34 34 54 58 0 1 0 31 31
normalized size 1 1. 1.59 1.71 0. 0.03 0. 0.91 0.91
time (sec) N/A 0.077 0.022 0.008 0. 0.225 0. 0.224 8.404
Problem 273 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 23 27 20 28 0 41 22
normalized size 1 1. 0.92 1.08 0.8 1.12 0. 1.64 0.88
time (sec) N/A 0.066 0.022 0.006 1.429 0.228 0. 0.22 7.31
Problem 274 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 31 33 42 39 0 74 49
normalized size 1 1. 0.55 0.59 0.75 0.7 0. 1.32 0.88
time (sec) N/A 0.133 0.032 0.007 1.429 0.219 0. 0.226 12.782
Problem 275 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 86 44 46 62 54 0 104 78
normalized size 1 1. 0.51 0.53 0.72 0.63 0. 1.21 0.91
time (sec) N/A 0.201 0.035 0.007 1.419 0.215 0. 0.224 19.133
Problem 276 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 116 116 55 57 82 69 0 139 107
normalized size 1 1. 0.47 0.49 0.71 0.59 0. 1.2 0.92
time (sec) N/A 0.276 0.04 0.007 1.426 0.215 0. 0.227 26.199
Problem 277 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 61 61 58 0 0 0 0 0 46
normalized size 1 1. 0.95 0. 0. 0. 0. 0. 0.75
time (sec) N/A 0.084 0.043 0.12 0. 0. 0. 0. 13.914
Problem 278 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 48 61 58 0 0 0 0 0 46
normalized size 1 1.27 1.21 0. 0. 0. 0. 0. 0.96
time (sec) N/A 0.081 0.031 0.093 0. 0. 0. 0. 13.495
Problem 279 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 54 54 52 0 0 0 0 0 41
normalized size 1 1. 0.96 0. 0. 0. 0. 0. 0.76
time (sec) N/A 0.081 0.03 0.081 0. 0. 0. 0. 13.248
Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 30 36 0 51 0 0 27
normalized size 1 1. 0.94 1.12 0. 1.59 0. 0. 0.84
time (sec) N/A 0.048 0.041 0.005 0. 0.246 0. 0. 8.284
Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 70 70 58 50 0 95 0 0 60
normalized size 1 1. 0.83 0.71 0. 1.36 0. 0. 0.86
time (sec) N/A 0.108 0.044 0.006 0. 0.238 0. 0. 16.905
Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 116 116 72 84 0 150 0 0 102
normalized size 1 1. 0.62 0.72 0. 1.29 0. 0. 0.88
time (sec) N/A 0.187 0.079 0.008 0. 0.24 0. 0. 29.587
Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 24 31 49 49 36 30 14
normalized size 1 1. 1.26 1.63 2.58 2.58 1.89 1.58 0.74
time (sec) N/A 0.023 0.014 0.006 1.391 0.204 2.265 0.221 4.172
Problem 284 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 80 80 46 48 62 57 0 0 71
normalized size 1 1. 0.57 0.6 0.78 0.71 0. 0. 0.89
time (sec) N/A 0.171 0.037 0.008 1.411 0.216 0. 0. 18.747
Problem 285 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 52 52 34 37 46 41 0 0 44
normalized size 1 1. 0.65 0.71 0.88 0.79 0. 0. 0.85
time (sec) N/A 0.094 0.027 0.007 1.462 0.214 0. 0. 12.422
Problem 286 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 25 25 25 27 19 28 0 0 19
normalized size 1 1. 1. 1.08 0.76 1.12 0. 0. 0.76
time (sec) N/A 0.015 0.015 0.008 1.394 0.215 0. 0. 7.052
Problem 287 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 32 32 54 43 0 1 0 63 31
normalized size 1 1. 1.69 1.34 0. 0.03 0. 1.97 0.97
time (sec) N/A 0.027 0.061 0.008 0. 0.223 0. 0.222 2.329
Problem 288 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 59 59 63 66 0 1 0 77 49
normalized size 1 1. 1.07 1.12 0. 0.02 0. 1.31 0.83
time (sec) N/A 0.1 0.205 0.008 0. 0.231 0. 0.234 9.055
Problem 289 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 238 238 165 248 0 0 0 0 216
normalized size 1 1. 0.69 1.04 0. 0. 0. 0. 0.91
time (sec) N/A 0.274 0.509 0.055 0. 0. 0. 0. 21.195
Problem 290 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 212 212 141 231 0 0 0 0 196
normalized size 1 1. 0.67 1.09 0. 0. 0. 0. 0.92
time (sec) N/A 0.144 0.16 0.007 0. 0. 0. 0. 12.793
Problem 291 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 243 243 171 248 0 0 0 0 218
normalized size 1 1. 0.7 1.02 0. 0. 0. 0. 0.9
time (sec) N/A 0.259 0.333 0.01 0. 0. 0. 0. 21.186
Problem 292 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 514 514 228 676 0 0 0 0 462
normalized size 1 1. 0.44 1.32 0. 0. 0. 0. 0.9
time (sec) N/A 0.6 3.293 0.011 0. 0. 0. 0. 52.504
Problem 293 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 484 484 202 394 0 0 0 0 435
normalized size 1 1. 0.42 0.81 0. 0. 0. 0. 0.9
time (sec) N/A 0.425 0.219 0.007 0. 0. 0. 0. 38.709
Problem 294 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 510 510 225 673 0 0 0 0 454
normalized size 1 1. 0.44 1.32 0. 0. 0. 0. 0.89
time (sec) N/A 0.573 1.146 0.009 0. 0. 0. 0. 52.725
Problem 295 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 265 265 194 2017 0 0 0 0 243
normalized size 1 1. 0.73 7.61 0. 0. 0. 0. 0.92
time (sec) N/A 0.561 0.443 0.087 0. 0. 0. 0. 34.077
Problem 296 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 525 525 362 2586 0 0 0 0 478
normalized size 1 1. 0.69 4.93 0. 0. 0. 0. 0.91
time (sec) N/A 0.975 1.505 0.065 0. 0. 0. 0. 56.225
Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 65 65 81 3347 0 1 0 59 54
normalized size 1 1. 1.25 51.49 0. 0.02 0. 0.91 0.83
time (sec) N/A 0.155 0.081 0.064 0. 0.35 0. 0.248 13.541
Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 237 237 178 1793 0 0 0 0 212
normalized size 1 1. 0.75 7.57 0. 0. 0. 0. 0.89
time (sec) N/A 0.437 0.434 0.034 0. 0. 0. 0. 25.164
Problem 299 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 492 492 340 2374 0 0 0 0 444
normalized size 1 1. 0.69 4.83 0. 0. 0. 0. 0.9
time (sec) N/A 0.799 1.347 0.036 0. 0. 0. 0. 44.067
Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 36 36 59 480 0 1 0 55 32
normalized size 1 1. 1.64 13.33 0. 0.03 0. 1.53 0.89
time (sec) N/A 0.083 0.038 0.036 0. 0.337 0. 0.229 8.019
Problem 301 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 203 203 151 437 0 0 0 0 189
normalized size 1 1. 0.74 2.15 0. 0. 0. 0. 0.93
time (sec) N/A 0.313 0.201 0.062 0. 0. 0. 0. 17.226
Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 519 519 341 2860 0 0 0 0 471
normalized size 1 1. 0.66 5.51 0. 0. 0. 0. 0.91
time (sec) N/A 0.944 1.293 0.042 0. 0. 0. 0. 56.665
Problem 303 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 27 27 27 29 35 28 0 31 24
normalized size 1 1. 1. 1.07 1.3 1.04 0. 1.15 0.89
time (sec) N/A 0.07 0.032 0.006 1.401 0.221 0. 0.223 7.069
Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 235 235 176 1795 0 0 0 0 218
normalized size 1 1. 0.75 7.64 0. 0. 0. 0. 0.93
time (sec) N/A 0.42 0.637 0.041 0. 0. 0. 0. 25.223
Problem 305 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 555 555 369 3048 0 0 0 0 508
normalized size 1 1. 0.66 5.49 0. 0. 0. 0. 0.92
time (sec) N/A 1.114 1.741 0.046 0. 0. 0. 0. 69.592
Problem 306 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 56 56 35 37 51 42 0 49 49
normalized size 1 1. 0.62 0.66 0.91 0.75 0. 0.88 0.88
time (sec) N/A 0.141 0.044 0.007 1.397 0.226 0. 0.225 12.27
Problem 307 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 265 265 190 2009 0 0 0 0 245
normalized size 1 1. 0.72 7.58 0. 0. 0. 0. 0.92
time (sec) N/A 0.521 0.504 0.042 0. 0. 0. 0. 33.666
Problem 308 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 28 28 28 29 38 35 19 41 24
normalized size 1 1. 1. 1.04 1.36 1.25 0.68 1.46 0.86
time (sec) N/A 0.04 0.007 0.008 1.384 0.227 1.262 0.22 7.094
Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 42 42 42 41 54 55 31 61 37
normalized size 1 1. 1. 0.98 1.29 1.31 0.74 1.45 0.88
time (sec) N/A 0.046 0.007 0.008 1.426 0.226 1.357 0.219 8.173
Problem 310 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 112 112 105 120 0 1 0 0 100
normalized size 1 1. 0.94 1.07 0. 0.01 0. 0. 0.89
time (sec) N/A 0.31 0.073 0.01 0. 0.238 0. 0. 25.801
Problem 311 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 86 86 94 98 0 1 0 0 75
normalized size 1 1. 1.09 1.14 0. 0.01 0. 0. 0.87
time (sec) N/A 0.219 0.05 0.01 0. 0.236 0. 0. 18.651
Problem 312 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 56 56 75 78 0 1 0 55 46
normalized size 1 1. 1.34 1.39 0. 0.02 0. 0.98 0.82
time (sec) N/A 0.138 0.042 0.008 0. 0.237 0. 0.237 12.109
Problem 313 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 32 32 58 56 0 1 0 31 29
normalized size 1 1. 1.81 1.75 0. 0.03 0. 0.97 0.91
time (sec) N/A 0.064 0.022 0.006 0. 0.229 0. 0.235 6.627
Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 21 25 20 28 0 36 20
normalized size 1 1. 0.91 1.09 0.87 1.22 0. 1.57 0.87
time (sec) N/A 0.015 0.018 0.005 1.423 0.218 0. 0.233 1.407
Problem 315 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 52 52 29 30 42 39 0 46 46
normalized size 1 1. 0.56 0.58 0.81 0.75 0. 0.88 0.88
time (sec) N/A 0.086 0.027 0.006 1.429 0.222 0. 0.235 7.972
Problem 316 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 80 80 42 46 62 54 0 70 73
normalized size 1 1. 0.52 0.57 0.78 0.68 0. 0.88 0.91
time (sec) N/A 0.156 0.031 0.006 1.439 0.233 0. 0.237 14.066
Problem 317 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 108 108 53 57 82 69 0 93 100
normalized size 1 1. 0.49 0.53 0.76 0.64 0. 0.86 0.93
time (sec) N/A 0.237 0.042 0.006 1.429 0.227 0. 0.235 20.522
Problem 318 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 136 136 64 68 103 84 0 116 128
normalized size 1 1. 0.47 0.5 0.76 0.62 0. 0.85 0.94
time (sec) N/A 0.317 0.044 0.007 1.419 0.221 0. 0.235 27.912
Problem 319 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 26 26 26 23 30 38 22 43 26
normalized size 1 1. 1. 0.88 1.15 1.46 0.85 1.65 1.
time (sec) N/A 0.043 0.008 0.01 1.377 0.22 1.31 0.219 6.33
Problem 320 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 27 23 30 38 22 43 26
normalized size 1 1. 1. 0.85 1.11 1.41 0.81 1.59 0.96
time (sec) N/A 0.045 0.008 0.009 1.376 0.212 0.517 0.219 6.521
Problem 321 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 8 8 14 9 19 11 5 20 5
normalized size 1 1. 1.75 1.12 2.38 1.38 0.62 2.5 0.62
time (sec) N/A 0.01 0.004 0.001 1.379 0.212 0.09 0.217 2.162
Problem 322 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 10 11 22 24 15 22 8
normalized size 1 1. 1. 1.1 2.2 2.4 1.5 2.2 0.8
time (sec) N/A 0.01 0.004 0.002 1.374 0.205 0.114 0.218 2.267
Problem 323 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 11 22 35 27 22 12
normalized size 1 1. 1. 0.92 1.83 2.92 2.25 1.83 1.
time (sec) N/A 0.01 0.005 0.001 1.383 0.204 0.127 0.219 2.311
Problem 324 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 10 11 14 14 7 14 7
normalized size 1 1. 1. 1.1 1.4 1.4 0.7 1.4 0.7
time (sec) N/A 0.007 0.001 0.001 1.396 0.201 0.096 0.217 2.296
Problem 325 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 20 20 20 19 28 30 32 0 10
normalized size 1 1. 1. 0.95 1.4 1.5 1.6 0. 0.5
time (sec) N/A 0.019 0.006 0.003 1.538 0.238 1.94 0. 3.409
Problem 326 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 20 20 20 21 51 49 82 0 15
normalized size 1 1. 1. 1.05 2.55 2.45 4.1 0. 0.75
time (sec) N/A 0.022 0.005 0.003 1.466 0.236 2.675 0. 3.693
Problem 327 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 20 20 20 21 69 70 119 0 15
normalized size 1 1. 1. 1.05 3.45 3.5 5.95 0. 0.75
time (sec) N/A 0.027 0.005 0.002 1.382 0.24 3.468 0. 3.764
Problem 328 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 16 16 160 135 181 1 160 181 10
normalized size 1 1. 10. 8.44 11.31 0.06 10. 11.31 0.62
time (sec) N/A 0.015 0.007 0.003 1.404 0.202 0.243 0.217 2.541
Problem 329 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 21 21 160 135 181 1 160 181 10
normalized size 1 1. 7.62 6.43 8.62 0.05 7.62 8.62 0.48
time (sec) N/A 0.016 0.012 0.001 1.412 0.204 0.273 0.218 3.289
Problem 330 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 21 21 160 135 181 1 160 181 10
normalized size 1 1. 7.62 6.43 8.62 0.05 7.62 8.62 0.48
time (sec) N/A 0.017 0.013 0.003 1.409 0.193 0.284 0.22 3.292
Problem 331 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 24 339 0 312 0 0 248
normalized size 1 1. 0.89 12.56 0. 11.56 0. 0. 9.19
time (sec) N/A 0.034 0.03 0.107 0. 0.24 0. 0. 82.683
Problem 332 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 16 16 160 135 181 1 160 181 10
normalized size 1 1. 10. 8.44 11.31 0.06 10. 11.31 0.62
time (sec) N/A 0.011 0.006 0. 1.4 0.207 0.247 0.218 2.515
Problem 333 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 16 16 160 135 181 1 160 181 10
normalized size 1 1. 10. 8.44 11.31 0.06 10. 11.31 0.62
time (sec) N/A 0.014 0.008 0.004 1.387 0.195 0.254 0.217 2.592
Problem 334 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 16 16 160 135 181 1 160 181 10
normalized size 1 1. 10. 8.44 11.31 0.06 10. 11.31 0.62
time (sec) N/A 0.015 0.01 0.003 1.375 0.196 0.264 0.217 2.617
Problem 335 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 193 287 0 277 0 294 19
normalized size 1 1. 7.15 10.63 0. 10.26 0. 10.89 0.7
time (sec) N/A 0.024 0.116 0.063 0. 0.245 0. 0.245 3.573
Problem 336 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 88 126 0 126 0 134 19
normalized size 1 1. 3.26 4.67 0. 4.67 0. 4.96 0.7
time (sec) N/A 0.026 0.073 0.035 0. 0.237 0. 0.225 3.566
Problem 337 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 27 27 27 39 89 111 0 0 22
normalized size 1 1. 1. 1.44 3.3 4.11 0. 0. 0.81
time (sec) N/A 0.036 0.056 0.037 1.387 0.231 0. 0. 3.691
Problem 338 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 14 18 18 10 19 10
normalized size 1 1. 1. 0.93 1.2 1.2 0.67 1.27 0.67
time (sec) N/A 0.01 0.004 0.001 1.383 0.214 0.236 0.216 2.486
Problem 339 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 14 18 18 10 19 10
normalized size 1 1. 1. 0.93 1.2 1.2 0.67 1.27 0.67
time (sec) N/A 0.011 0.006 0.001 1.385 0.208 0.305 0.219 2.532
Problem 340 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 14 18 18 10 19 10
normalized size 1 1. 1. 0.93 1.2 1.2 0.67 1.27 0.67
time (sec) N/A 0.009 0.007 0.001 1.379 0.209 0.365 0.218 2.54
Problem 341 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 24 31 49 49 36 30 14
normalized size 1 1. 1.26 1.63 2.58 2.58 1.89 1.58 0.74
time (sec) N/A 0.017 0.015 0.007 1.375 0.206 1.642 0.22 3.529
Problem 342 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 24 31 49 49 36 30 14
normalized size 1 1. 1.26 1.63 2.58 2.58 1.89 1.58 0.74
time (sec) N/A 0.019 0.014 0.007 1.378 0.21 18.984 0.216 3.298
Problem 343 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 19 19 24 31 49 49 0 30 14
normalized size 1 1. 1.26 1.63 2.58 2.58 0. 1.58 0.74
time (sec) N/A 0.017 0.017 0.013 1.371 0.206 0. 0.215 3.29
Problem 344 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 23 30 34 19 30 19
normalized size 1 1. 1. 0.96 1.25 1.42 0.79 1.25 0.79
time (sec) N/A 0.029 0.002 0.003 1.368 0.213 1.014 0.219 5.744
Problem 345 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 40 40 40 35 46 51 37 62 0
normalized size 1 1. 1. 0.88 1.15 1.27 0.92 1.55 0.
time (sec) N/A 0.059 0.011 0.009 1.394 0.221 1.172 0.22 0.
Problem 346 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 50 45 59 65 48 61 46
normalized size 1 1. 1. 0.9 1.18 1.3 0.96 1.22 0.92
time (sec) N/A 0.055 0.009 0.008 1.373 0.211 1.229 0.215 9.344
Problem 347 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A F(-2) A A F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 185 185 144 156 166 0 36 151 0
normalized size 1 1. 0.78 0.84 0.9 0. 0.19 0.82 0.
time (sec) N/A 0.652 0.237 0.029 1.581 0. 4.132 0.225 0.
Problem 348 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 232 363 0 401 0 400 22
normalized size 1 1. 8. 12.52 0. 13.83 0. 13.79 0.76
time (sec) N/A 0.038 0.327 0.257 0. 0.252 0. 0.922 4.732
Problem 349 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 16 16 160 135 19 1 160 19 10
normalized size 1 1. 10. 8.44 1.19 0.06 10. 1.19 0.62
time (sec) N/A 0.011 0.008 0.002 1.379 0.194 0.219 0.218 2.121
Problem 350 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 21 21 160 135 181 1 160 181 10
normalized size 1 1. 7.62 6.43 8.62 0.05 7.62 8.62 0.48
time (sec) N/A 0.013 0.011 0. 1.375 0.192 0.272 0.22 3.302
Problem 351 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 23 160 135 181 1 160 181 10
normalized size 1 1. 6.96 5.87 7.87 0.04 6.96 7.87 0.43
time (sec) N/A 0.019 0.013 0.004 1.379 0.199 0.287 0.218 3.504
Problem 352 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 16 16 160 135 19 1 160 19 10
normalized size 1 1. 10. 8.44 1.19 0.06 10. 1.19 0.62
time (sec) N/A 0.011 0.007 0.003 1.381 0.199 0.224 0.218 2.122
Problem 353 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 21 21 160 135 181 1 160 181 10
normalized size 1 1. 7.62 6.43 8.62 0.05 7.62 8.62 0.48
time (sec) N/A 0.012 0.01 0. 1.375 0.199 0.288 0.221 3.29
Problem 354 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 16 16 160 135 19 1 160 19 10
normalized size 1 1. 10. 8.44 1.19 0.06 10. 1.19 0.62
time (sec) N/A 0.014 0.009 0.001 1.375 0.195 0.241 0.218 2.121
Problem 355 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 23 23 26 36 50 36 48 0 14
normalized size 1 1. 1.13 1.57 2.17 1.57 2.09 0. 0.61
time (sec) N/A 0.03 0.026 0.016 1.378 0.241 2.042 0. 3.409
Problem 356 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 23 23 22 39 36 38 41 0 19
normalized size 1 1. 0.96 1.7 1.57 1.65 1.78 0. 0.83
time (sec) N/A 0.035 0.015 0.019 1.377 0.24 5.432 0. 7.074
Problem 357 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 41 26 38 39 0 10
normalized size 1 1. 1. 2.73 1.73 2.53 2.6 0. 0.67
time (sec) N/A 0.02 0.007 0.018 1.387 0.237 5.523 0. 2.997
Problem 358 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 22 22 22 32 22 35 20 0 19
normalized size 1 1. 1. 1.45 1. 1.59 0.91 0. 0.86
time (sec) N/A 0.026 0.012 0.019 1.376 0.236 4.991 0. 5.136
Problem 359 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 34 15 35 22 0 10
normalized size 1 1. 1. 2.27 1. 2.33 1.47 0. 0.67
time (sec) N/A 0.015 0.005 0.016 1.379 0.234 5.03 0. 2.723
Problem 360 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 12 12 12 12 11 11 0 12 8
normalized size 1 1. 1. 1. 0.92 0.92 0. 1. 0.67
time (sec) N/A 0.01 0.007 0.006 1.378 0.222 0. 0.221 1.944
Problem 361 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 14 14 14 116 23 11 0 24 10
normalized size 1 1. 1. 8.29 1.64 0.79 0. 1.71 0.71
time (sec) N/A 0.012 0.007 0.072 1.366 0.22 0. 0.238 1.968
Problem 362 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 9 11 11 10 43 10
normalized size 1 1. 1. 0.75 0.92 0.92 0.83 3.58 0.83
time (sec) N/A 0.01 0.006 0.003 1.535 0.224 1.123 0.22 1.881
Problem 363 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 24 24 29 39 42 34 71 0 34
normalized size 1 1. 1.21 1.62 1.75 1.42 2.96 0. 1.42
time (sec) N/A 0.041 0.044 0.04 1.536 0.246 1.764 0. 4.171
Problem 364 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F(-2) F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 75 75 104 0 0 0 0 0 58
normalized size 1 1. 1.39 0. 0. 0. 0. 0. 0.77
time (sec) N/A 0.193 0.257 0.191 0. 0. 0. 0. 17.382
Problem 365 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F(-2) F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 99 99 109 0 0 0 0 0 75
normalized size 1 1. 1.1 0. 0. 0. 0. 0. 0.76
time (sec) N/A 0.264 0.098 0.412 0. 0. 0. 0. 26.227
Problem 366 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F(-2) F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 91 91 103 0 0 0 0 0 76
normalized size 1 1. 1.13 0. 0. 0. 0. 0. 0.84
time (sec) N/A 0.259 0.278 0.076 0. 0. 0. 0. 24.164
Problem 367 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F(-2) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 71 71 99 0 0 0 0 0 58
normalized size 1 1. 1.39 0. 0. 0. 0. 0. 0.82
time (sec) N/A 0.136 0.18 0.088 0. 0. 0. 0. 13.778
Problem 368 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F(-2) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 87 87 100 0 0 0 0 0 73
normalized size 1 1. 1.15 0. 0. 0. 0. 0. 0.84
time (sec) N/A 0.235 0.251 0.07 0. 0. 0. 0. 23.629
Problem 369 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F(-2) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 51 51 45 39 0 1 0 0 41
normalized size 1 1. 0.88 0.76 0. 0.02 0. 0. 0.8
time (sec) N/A 0.076 0.035 0.001 0. 0.242 0. 0. 9.405
Problem 370 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F(-2) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 84 84 102 0 0 0 0 0 71
normalized size 1 1. 1.21 0. 0. 0. 0. 0. 0.85
time (sec) N/A 0.285 0.16 0.084 0. 0. 0. 0. 23.676
Problem 371 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F(-2) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 61 61 95 0 0 0 0 0 51
normalized size 1 1. 1.56 0. 0. 0. 0. 0. 0.84
time (sec) N/A 0.146 0.148 0.067 0. 0. 0. 0. 10.651
Problem 372 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F(-2) F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 85 85 102 0 0 0 0 0 73
normalized size 1 1. 1.2 0. 0. 0. 0. 0. 0.86
time (sec) N/A 0.328 0.153 0.08 0. 0. 0. 0. 23.659
Problem 373 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F(-2) F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 141 141 131 0 0 0 0 0 116
normalized size 1 1. 0.93 0. 0. 0. 0. 0. 0.82
time (sec) N/A 0.382 0.303 0.451 0. 0. 0. 0. 35.524
Problem 374 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F(-2) F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 128 128 126 0 0 0 0 0 109
normalized size 1 1. 0.98 0. 0. 0. 0. 0. 0.85
time (sec) N/A 0.336 0.366 0.056 0. 0. 0. 0. 33.216
Problem 375 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F(-2) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 104 104 117 0 0 0 0 0 87
normalized size 1 1. 1.12 0. 0. 0. 0. 0. 0.84
time (sec) N/A 0.225 0.189 0.066 0. 0. 0. 0. 22.503
Problem 376 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F(-2) F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 122 122 120 0 0 0 0 0 104
normalized size 1 1. 0.98 0. 0. 0. 0. 0. 0.85
time (sec) N/A 0.303 0.326 0.054 0. 0. 0. 0. 32.631
Problem 377 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F(-2) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 58 51 0 1 0 0 60
normalized size 1 1. 0.79 0.7 0. 0.01 0. 0. 0.82
time (sec) N/A 0.1 0.067 0.002 0. 0.241 0. 0. 12.202
Problem 378 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F(-2) F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 117 117 0 0 0 0 0 0 97
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.83
time (sec) N/A 0.357 0.407 0.056 0. 0. 0. 0. 31.947
Problem 379 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F(-2) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 98 98 113 0 0 0 0 0 87
normalized size 1 1. 1.15 0. 0. 0. 0. 0. 0.89
time (sec) N/A 0.268 0.225 0.052 0. 0. 0. 0. 21.755
Problem 380 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F(-2) F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 122 122 0 0 0 0 0 0 109
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.89
time (sec) N/A 0.429 0.432 0.058 0. 0. 0. 0. 33.124
Problem 381 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F(-2) F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 100 100 115 0 0 0 0 0 90
normalized size 1 1. 1.15 0. 0. 0. 0. 0. 0.9
time (sec) N/A 0.326 0.231 0.069 0. 0. 0. 0. 26.065
Problem 382 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 51 51 58 47 0 1 0 88 41
normalized size 1 1. 1.14 0.92 0. 0.02 0. 1.73 0.8
time (sec) N/A 0.126 0.046 0.01 0. 0.233 0. 0.222 8.515
Problem 383 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 42 42 71 61 0 1 0 92 34
normalized size 1 1. 1.69 1.45 0. 0.02 0. 2.19 0.81
time (sec) N/A 0.062 0.047 0.01 0. 0.251 0. 0.223 4.933
Problem 384 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 51 51 66 55 0 1 0 93 0
normalized size 1 1. 1.29 1.08 0. 0.02 0. 1.82 0.
time (sec) N/A 0.112 0.083 0.011 0. 0.238 0. 0.222 0.
Problem 385 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 61 61 69 74 0 1 0 0 0
normalized size 1 1. 1.13 1.21 0. 0.02 0. 0. 0.
time (sec) N/A 0.138 0.059 0.055 0. 0.245 0. 0. 0.
Problem 386 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 53 53 66 56 0 1 0 82 0
normalized size 1 1. 1.25 1.06 0. 0.02 0. 1.55 0.
time (sec) N/A 0.137 0.051 0.016 0. 0.239 0. 0.22 0.
Problem 387 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 43 43 67 81 0 1 0 86 34
normalized size 1 1. 1.56 1.88 0. 0.02 0. 2. 0.79
time (sec) N/A 0.063 0.068 0.011 0. 0.244 0. 0.221 5.093
Problem 388 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 53 53 70 73 0 1 0 88 0
normalized size 1 1. 1.32 1.38 0. 0.02 0. 1.66 0.
time (sec) N/A 0.12 0.093 0.034 0. 0.23 0. 0.223 0.
Problem 389 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 77 105 0 1 0 0 0
normalized size 1 1. 1.22 1.67 0. 0.02 0. 0. 0.
time (sec) N/A 0.142 0.065 0.067 0. 0.246 0. 0. 0.
Problem 390 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F(-2) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 62 62 98 0 0 0 0 0 48
normalized size 1 1. 1.58 0. 0. 0. 0. 0. 0.77
time (sec) N/A 0.187 0.158 0.114 0. 0. 0. 0. 16.854
Problem 391 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F(-2) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 53 53 89 0 0 0 0 0 46
normalized size 1 1. 1.68 0. 0. 0. 0. 0. 0.87
time (sec) N/A 0.17 0.162 0.064 0. 0. 0. 0. 15.302
Problem 392 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F(-2) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 78 0 0 0 0 0 31
normalized size 1 1. 2.11 0. 0. 0. 0. 0. 0.84
time (sec) N/A 0.034 0.102 0.044 0. 0. 0. 0. 3.165
Problem 393 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F(-2) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 51 51 87 0 0 0 0 0 46
normalized size 1 1. 1.71 0. 0. 0. 0. 0. 0.9
time (sec) N/A 0.148 0.139 0.061 0. 0. 0. 0. 15.68
Problem 394 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F(-2) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 31 26 0 1 0 0 27
normalized size 1 1. 1. 0.84 0. 0.03 0. 0. 0.87
time (sec) N/A 0.054 0.029 0.002 0. 0.251 0. 0. 6.768
Problem 395 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F(-2) F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 83 0 0 0 0 0 49
normalized size 1 1. 1.54 0. 0. 0. 0. 0. 0.91
time (sec) N/A 0.186 0.15 0.06 0. 0. 0. 0. 15.734
Problem 396 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F(-2) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 81 0 0 0 0 0 36
normalized size 1 1. 2.02 0. 0. 0. 0. 0. 0.9
time (sec) N/A 0.128 0.145 0.052 0. 0. 0. 0. 10.859
Problem 397 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F(-2) F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 83 0 0 0 0 0 51
normalized size 1 1. 1.54 0. 0. 0. 0. 0. 0.94
time (sec) N/A 0.21 0.177 0.061 0. 0. 0. 0. 15.945
Problem 398 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F(-2) F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 107 107 117 0 0 0 0 0 85
normalized size 1 1. 1.09 0. 0. 0. 0. 0. 0.79
time (sec) N/A 0.296 0.203 0.111 0. 0. 0. 0. 26.858
Problem 399 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F(-2) F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 94 94 109 0 0 0 0 0 80
normalized size 1 1. 1.16 0. 0. 0. 0. 0. 0.85
time (sec) N/A 0.267 0.185 0.052 0. 0. 0. 0. 24.955
Problem 400 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F(-2) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 72 72 91 0 0 0 0 0 60
normalized size 1 1. 1.26 0. 0. 0. 0. 0. 0.83
time (sec) N/A 0.157 0.19 0.048 0. 0. 0. 0. 15.153
Problem 401 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F(-2) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 85 85 104 0 0 0 0 0 70
normalized size 1 1. 1.22 0. 0. 0. 0. 0. 0.82
time (sec) N/A 0.235 0.202 0.05 0. 0. 0. 0. 23.6
Problem 402 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F(-2) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 52 42 0 1 0 0 42
normalized size 1 1. 0.96 0.78 0. 0.02 0. 0. 0.78
time (sec) N/A 0.087 0.074 0. 0. 0.256 0. 0. 10.216
Problem 403 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F(-2) F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 90 90 104 0 0 0 0 0 76
normalized size 1 1. 1.16 0. 0. 0. 0. 0. 0.84
time (sec) N/A 0.289 0.197 0.057 0. 0. 0. 0. 24.732
Problem 404 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F(-2) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 72 72 100 0 0 0 0 0 60
normalized size 1 1. 1.39 0. 0. 0. 0. 0. 0.83
time (sec) N/A 0.248 0.182 0.053 0. 0. 0. 0. 19.625
Problem 405 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F(-2) F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 90 90 104 0 0 0 0 0 80
normalized size 1 1. 1.16 0. 0. 0. 0. 0. 0.89
time (sec) N/A 0.33 0.22 0.059 0. 0. 0. 0. 25.174
Problem 406 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F(-2) F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 72 72 100 0 0 0 0 0 63
normalized size 1 1. 1.39 0. 0. 0. 0. 0. 0.88
time (sec) N/A 0.254 0.192 0.054 0. 0. 0. 0. 19.71
Problem 407 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F(-2) A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 63 477 0 1 0 0 27
normalized size 1 1. 1.97 14.91 0. 0.03 0. 0. 0.84
time (sec) N/A 0.032 0.05 0.022 0. 0.345 0. 0. 2.492
Problem 408 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 59 49 0 1 0 0 27
normalized size 1 1. 1.84 1.53 0. 0.03 0. 0. 0.84
time (sec) N/A 0.031 0.037 0.012 0. 0.239 0. 0. 2.509
Problem 409 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F(-1) F(-2) A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 32 32 0 0 0 1 0 0 29
normalized size 1 1. 0. 0. 0. 0.03 0. 0. 0.91
time (sec) N/A 0.034 0.038 0.04 0. 0.701 0. 0. 2.512
Problem 410 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F(-2) A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 76 0 0 1 0 0 0
normalized size 1 1. 2.05 0. 0. 0.03 0. 0. 0.
time (sec) N/A 0.048 0.102 0.077 0. 0.239 0. 0. 0.
Problem 411 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F(-2) A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 66 471 0 1 0 0 27
normalized size 1 1. 2. 14.27 0. 0.03 0. 0. 0.82
time (sec) N/A 0.032 0.074 0.285 0. 0.347 0. 0. 2.343
Problem 412 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 62 53 0 1 0 0 27
normalized size 1 1. 1.88 1.61 0. 0.03 0. 0. 0.82
time (sec) N/A 0.035 0.039 0.007 0. 0.238 0. 0. 2.348
Problem 413 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F(-1) F(-2) A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 33 33 0 0 0 1 0 0 29
normalized size 1 1. 0. 0. 0. 0.03 0. 0. 0.88
time (sec) N/A 0.035 0.039 0.052 0. 0.729 0. 0. 2.357
Problem 414 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 38 38 76 0 0 1 0 0 0
normalized size 1 1. 2. 0. 0. 0.03 0. 0. 0.
time (sec) N/A 0.043 0.12 0.112 0. 0.252 0. 0. 0.
Problem 415 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F(-2) F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 78 0 0 0 0 0 31
normalized size 1 1. 2.11 0. 0. 0. 0. 0. 0.84
time (sec) N/A 0.045 0.107 0.073 0. 0. 0. 0. 3.414
Problem 416 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 78 0 0 1 0 0 31
normalized size 1 1. 2.11 0. 0. 0.03 0. 0. 0.84
time (sec) N/A 0.041 0.026 0.086 0. 0.248 0. 0. 3.456
Problem 417 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F(-2) F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 78 0 0 0 0 0 31
normalized size 1 1. 2.11 0. 0. 0. 0. 0. 0.84
time (sec) N/A 0.04 0.026 0.067 0. 0. 0. 0. 3.462
Problem 418 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F(-2) F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 38 38 80 0 0 0 0 0 31
normalized size 1 1. 2.11 0. 0. 0. 0. 0. 0.82
time (sec) N/A 0.041 0.128 0.078 0. 0. 0. 0. 3.254
Problem 419 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 38 38 80 0 0 1 0 0 31
normalized size 1 1. 2.11 0. 0. 0.03 0. 0. 0.82
time (sec) N/A 0.04 0.028 0.088 0. 0.247 0. 0. 3.3
Problem 420 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F(-2) F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 38 38 80 0 0 0 0 0 31
normalized size 1 1. 2.11 0. 0. 0. 0. 0. 0.82
time (sec) N/A 0.039 0.028 0.066 0. 0. 0. 0. 3.292
Problem 421 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F(-2) F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 107 107 218 0 0 0 0 0 97
normalized size 1 1. 2.04 0. 0. 0. 0. 0. 0.91
time (sec) N/A 0.202 0.49 0.428 0. 0. 0. 0. 24.158
Problem 422 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F(-2) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 100 100 156 0 0 0 0 0 90
normalized size 1 1. 1.56 0. 0. 0. 0. 0. 0.9
time (sec) N/A 0.203 0.279 0.321 0. 0. 0. 0. 23.699
Problem 423 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F(-2) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 102 102 106 0 0 0 0 0 92
normalized size 1 1. 1.04 0. 0. 0. 0. 0. 0.9
time (sec) N/A 0.201 0.1 0.109 0. 0. 0. 0. 24.993
Problem 424 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F(-2) F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 111 111 116 0 0 0 0 0 99
normalized size 1 1. 1.05 0. 0. 0. 0. 0. 0.89
time (sec) N/A 0.212 0.164 0.09 0. 0. 0. 0. 25.601
Problem 425 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F(-2) F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 111 111 166 0 0 0 0 0 99
normalized size 1 1. 1.5 0. 0. 0. 0. 0. 0.89
time (sec) N/A 0.215 0.554 0.094 0. 0. 0. 0. 25.42
Problem 426 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F(-2) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 177 0 0 0 0 0 80
normalized size 1 1. 1.82 0. 0. 0. 0. 0. 0.82
time (sec) N/A 0.136 0.317 0.118 0. 0. 0. 0. 12.446
Problem 427 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F(-2) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 87 87 134 0 0 0 0 0 75
normalized size 1 1. 1.54 0. 0. 0. 0. 0. 0.86
time (sec) N/A 0.136 0.236 0.09 0. 0. 0. 0. 12.018
Problem 428 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F(-2) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 93 93 88 0 0 0 0 0 78
normalized size 1 1. 0.95 0. 0. 0. 0. 0. 0.84
time (sec) N/A 0.129 0.075 0.068 0. 0. 0. 0. 13.173
Problem 429 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F(-2) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 101 101 104 0 0 0 0 0 82
normalized size 1 1. 1.03 0. 0. 0. 0. 0. 0.81
time (sec) N/A 0.142 0.139 0.058 0. 0. 0. 0. 13.676
Problem 430 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F(-2) F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 101 101 185 0 0 0 0 0 82
normalized size 1 1. 1.83 0. 0. 0. 0. 0. 0.81
time (sec) N/A 0.142 0.404 0.059 0. 0. 0. 0. 13.637
Problem 431 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 18 18 18 16 14 22 0 68 20
normalized size 1 1. 1. 0.89 0.78 1.22 0. 3.78 1.11
time (sec) N/A 0.016 0.012 0.006 1.415 0.227 0. 0.229 1.185
Problem 432 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 29 18 0 26 0 15 17
normalized size 1 1. 1.45 0.9 0. 1.3 0. 0.75 0.85
time (sec) N/A 0.01 0.019 0.013 0. 0.254 0. 0.219 1.021
Problem 433 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 8 8 8 7 8 8 7 8 7
normalized size 1 1. 1. 0.88 1. 1. 0.88 1. 0.88
time (sec) N/A 0.01 0.005 0.005 1.533 0.235 0.522 0.217 2.133
Problem 434 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 25 25 25 29 19 38 0 36 20
normalized size 1 1. 1. 1.16 0.76 1.52 0. 1.44 0.8
time (sec) N/A 0.014 0.023 0.008 1.393 0.228 0. 0.224 6.721
Problem 435 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 29 19 38 0 36 20
normalized size 1 1. 1. 1.16 0.76 1.52 0. 1.44 0.8
time (sec) N/A 0.013 0.008 0.007 1.388 0.219 0. 0.225 5.679
Problem 436 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 25 25 25 29 19 38 0 19 20
normalized size 1 1. 1. 1.16 0.76 1.52 0. 0.76 0.8
time (sec) N/A 0.02 0.021 0.007 1.398 0.226 0. 0.223 1.601
Problem 437 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C F F F(-1) F F A
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 988 988 99 0 0 0 0 0 799
normalized size 1 1. 0.1 0. 0. 0. 0. 0. 0.81
time (sec) N/A 3.902 0.083 0.025 0. 0. 0. 0. 110.057
Problem 438 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C F F F(-1) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 487 487 98 0 0 0 0 0 376
normalized size 1 1. 0.2 0. 0. 0. 0. 0. 0.77
time (sec) N/A 1.701 0.064 0.026 0. 0. 0. 0. 50.499
Problem 439 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 89 92 92 0 0 0 0 0 82
normalized size 1 1.03 1.03 0. 0. 0. 0. 0. 0.92
time (sec) N/A 0.14 0.112 0.339 0. 0. 0. 0. 29.477
Problem 440 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 69 69 73 0 0 0 0 0 63
normalized size 1 1. 1.06 0. 0. 0. 0. 0. 0.91
time (sec) N/A 0.132 0.111 0.347 0. 0. 0. 0. 16.27
Problem 441 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 66 74 74 0 0 0 0 0 65
normalized size 1 1.12 1.12 0. 0. 0. 0. 0. 0.98
time (sec) N/A 0.136 0.089 0.342 0. 0. 0. 0. 17.81
Problem 442 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 69 69 82 0 0 0 0 0 92
normalized size 1 1. 1.19 0. 0. 0. 0. 0. 1.33
time (sec) N/A 0.151 0.141 0.343 0. 0. 0. 0. 22.2
Problem 443 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 84 84 83 0 0 0 0 0 54
normalized size 1 1. 0.99 0. 0. 0. 0. 0. 0.64
time (sec) N/A 0.169 0.099 0.343 0. 0. 0. 0. 20.669
Problem 444 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 43 0 0 86 0 0 34
normalized size 1 1. 0.98 0. 0. 1.95 0. 0. 0.77
time (sec) N/A 0.037 0.089 0.127 0. 0.256 0. 0. 3.141
Problem 445 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 43 0 0 82 0 0 0
normalized size 1 1. 0.98 0. 0. 1.86 0. 0. 0.
time (sec) N/A 0.037 0.028 0.104 0. 0.255 0. 0. 0.
Problem 446 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 45 0 0 103 0 0 0
normalized size 1 1. 0.98 0. 0. 2.24 0. 0. 0.
time (sec) N/A 0.12 0.11 0.241 0. 0.261 0. 0. 0.
Problem 447 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 45 0 0 107 0 0 37
normalized size 1 1. 0.98 0. 0. 2.33 0. 0. 0.8
time (sec) N/A 0.085 0.037 0.345 0. 0.256 0. 0. 11.019
Problem 448 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 36 40 23 59 0 0 0
normalized size 1 1. 0.82 0.91 0.52 1.34 0. 0. 0.
time (sec) N/A 0.039 0.061 0.051 1.403 0.241 0. 0. 0.
Problem 449 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 36 40 23 59 0 0 0
normalized size 1 1. 0.82 0.91 0.52 1.34 0. 0. 0.
time (sec) N/A 0.038 0.054 0.037 1.404 0.243 0. 0. 0.
Problem 450 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 36 40 23 59 0 0 0
normalized size 1 1. 0.82 0.91 0.52 1.34 0. 0. 0.
time (sec) N/A 0.039 0.055 0.037 1.409 0.245 0. 0. 0.
Problem 451 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F A A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 57 57 46 0 45 63 0 0 0
normalized size 1 1. 0.81 0. 0.79 1.11 0. 0. 0.
time (sec) N/A 0.062 0.055 0.108 1.517 0.265 0. 0. 0.
Problem 452 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F A A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 61 61 45 0 38 73 0 0 0
normalized size 1 1. 0.74 0. 0.62 1.2 0. 0. 0.
time (sec) N/A 0.055 0.066 0.105 1.541 0.26 0. 0. 0.
Problem 453 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 39 39 100 0 0 103 0 0 27
normalized size 1 1. 2.56 0. 0. 2.64 0. 0. 0.69
time (sec) N/A 0.093 0.214 0.351 0. 0.268 0. 0. 10.092
Problem 454 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 38 0 0 86 0 0 0
normalized size 1 1. 0.95 0. 0. 2.15 0. 0. 0.
time (sec) N/A 0.121 0.118 0.25 0. 0.262 0. 0. 0.

2.2 Detailed conclusion table specific for Rubi results

The following table is specific to Rubi. It gives additional statistics for each integral. the column steps is the number of steps used by Rubi to obtain the antiderivative. The rules column is the number of unique rules used. The integrand size column is the leaf size of the integrand. Finally the ratio \(\frac{\text{number of rules}}{\text{integrand size}}\) is given. The larger this ratio is, the harder the integral was to solve. In this test, problem number [347] had the largest ratio of [ 0.7778 ]

Table 1: Rubi specific breakdown of results for each integral
# grade
number of
steps
used
number of
unique
rules
normalized
antiderivative
leaf size
integrand
leaf size
\(\frac{\text{number of rules}}{\text{integrand leaf size}}\)
1 A 2 1 1. 13 0.077
2 A 2 1 1. 11 0.091
3 A 1 0 1. 9 0.
4 A 2 1 1. 13 0.077
5 A 2 1 1. 13 0.077
6 A 3 2 1. 15 0.133
7 A 4 3 1. 13 0.231
8 A 3 2 1. 11 0.182
9 A 2 2 1. 15 0.133
10 A 3 2 1. 15 0.133
11 A 3 2 1. 11 0.182
12 A 4 3 1. 15 0.2
13 A 3 3 1. 15 0.2
14 A 2 2 1. 15 0.133
15 A 2 2 1. 13 0.154
16 A 5 5 1. 11 0.454
17 A 3 3 1. 15 0.2
18 A 4 3 1. 15 0.2
19 A 4 3 1. 15 0.2
20 A 4 3 1. 15 0.2
21 A 3 3 1. 15 0.2
22 A 4 3 1. 13 0.231
23 A 4 4 1. 11 0.364
24 A 4 3 1. 15 0.2
25 A 5 4 1. 15 0.267
26 A 4 3 1. 13 0.231
27 A 4 3 1. 13 0.231
28 A 3 3 1. 13 0.231
29 A 2 2 1. 13 0.154
30 A 2 2 1. 11 0.182
31 A 5 5 1. 9 0.556
32 A 3 3 1. 13 0.231
33 A 4 3 1. 13 0.231
34 A 4 3 1. 13 0.231
35 A 4 3 1. 13 0.231
36 A 5 5 1. 9 0.556
37 A 5 5 1. 11 0.454
38 A 6 5 1. 17 0.294
39 A 7 7 1. 17 0.412
40 A 5 5 1. 15 0.333
41 A 6 6 1. 13 0.462
42 A 4 4 1. 17 0.235
43 A 6 6 1. 17 0.353
44 A 4 4 1. 17 0.235
45 A 7 7 1. 17 0.412
46 A 7 5 1. 17 0.294
47 A 8 7 1. 15 0.467
48 A 6 6 1. 13 0.462
49 A 7 7 1. 17 0.412
50 A 5 4 1. 17 0.235
51 A 7 7 1. 17 0.412
52 A 5 5 1. 17 0.294
53 A 7 6 1. 17 0.353
54 A 5 4 1. 17 0.235
55 A 8 7 1. 17 0.412
56 A 6 5 1. 17 0.294
57 A 5 4 1. 17 0.235
58 A 6 6 1. 17 0.353
59 A 4 4 1. 17 0.235
60 A 5 5 1. 15 0.333
61 A 3 3 1. 13 0.231
62 A 6 6 1. 17 0.353
63 A 4 4 1. 17 0.235
64 A 7 6 1. 17 0.353
65 A 6 5 1. 17 0.294
66 A 7 7 1. 17 0.412
67 A 5 5 1. 17 0.294
68 A 6 6 1. 17 0.353
69 A 4 4 1. 17 0.235
70 A 6 6 1. 17 0.353
71 A 4 4 1. 15 0.267
72 A 7 7 1. 13 0.538
73 A 5 5 1. 17 0.294
74 A 8 7 1. 17 0.412
75 A 7 4 1. 19 0.21
76 A 5 2 1. 19 0.105
77 A 6 3 1. 19 0.158
78 A 4 2 1. 19 0.105
79 A 1 1 1. 19 0.053
80 A 3 2 1. 19 0.105
81 A 2 2 1. 19 0.105
82 A 2 2 1. 19 0.105
83 A 3 2 1. 19 0.105
84 A 1 1 1. 19 0.053
85 A 4 2 1. 19 0.105
86 A 6 3 1. 19 0.158
87 A 5 2 1. 19 0.105
88 A 7 4 1. 19 0.21
89 A 6 3 1. 19 0.158
90 A 8 4 1. 19 0.21
91 A 7 3 1. 19 0.158
92 A 3 3 1. 17 0.176
93 A 2 2 1. 15 0.133
94 A 1 1 1. 17 0.059
95 A 2 2 1. 17 0.118
96 A 3 2 1. 17 0.118
97 A 4 4 1. 17 0.235
98 A 3 3 1. 13 0.231
99 A 4 4 1. 17 0.235
100 A 6 6 1. 17 0.353
101 A 5 5 1. 17 0.294
102 A 6 6 1. 17 0.353
103 A 8 5 1. 19 0.263
104 A 6 5 1. 17 0.294
105 A 4 4 1. 15 0.267
106 A 1 1 1. 19 0.053
107 A 3 2 1. 19 0.105
108 A 5 2 1. 19 0.105
109 A 7 2 1. 19 0.105
110 A 9 6 1. 19 0.316
111 A 7 6 1. 19 0.316
112 A 5 5 1. 17 0.294
113 A 1 1 1. 15 0.067
114 A 3 3 1. 19 0.158
115 A 5 3 1. 19 0.158
116 A 7 3 1. 19 0.158
117 A 9 5 1. 21 0.238
118 A 7 5 1. 21 0.238
119 A 5 5 1. 21 0.238
120 A 3 3 1. 21 0.143
121 A 2 2 1. 21 0.095
122 A 4 2 1. 21 0.095
123 A 6 2 1. 21 0.095
124 A 8 6 1. 21 0.286
125 A 6 6 1. 21 0.286
126 A 4 4 1. 21 0.19
127 A 2 2 1. 21 0.095
128 A 4 3 1. 21 0.143
129 A 6 3 1. 21 0.143
130 A 8 3 1. 21 0.143
131 A 11 6 1. 19 0.316
132 A 11 8 1. 19 0.421
133 A 8 6 1. 17 0.353
134 A 8 8 1. 15 0.533
135 A 5 5 1. 19 0.263
136 A 8 8 1. 19 0.421
137 A 7 6 1. 19 0.316
138 A 11 8 1. 19 0.421
139 A 10 6 1. 19 0.316
140 A 11 6 1. 19 0.316
141 A 11 8 1. 17 0.471
142 A 8 7 1. 15 0.467
143 A 8 8 1. 19 0.421
144 A 6 6 1. 19 0.316
145 A 9 8 1. 19 0.421
146 A 8 6 1. 19 0.316
147 A 12 8 1. 19 0.421
148 A 11 6 1. 19 0.316
149 A 11 5 1. 19 0.263
150 A 11 7 1. 19 0.368
151 A 8 5 1. 19 0.263
152 A 8 7 1. 17 0.412
153 A 5 5 1. 15 0.333
154 A 7 7 1. 19 0.368
155 A 6 5 1. 19 0.263
156 A 10 7 1. 19 0.368
157 A 9 5 1. 19 0.263
158 A 12 8 1. 19 0.421
159 A 9 6 1. 19 0.316
160 A 9 8 1. 19 0.421
161 A 6 6 1. 17 0.353
162 A 7 7 1. 15 0.467
163 A 6 6 1. 19 0.316
164 A 10 8 1. 19 0.421
165 A 9 6 1. 19 0.316
166 A 13 8 1. 19 0.421
167 A 13 3 1. 19 0.158
168 A 10 3 1. 19 0.158
169 A 7 3 1. 17 0.176
170 A 4 3 1. 15 0.2
171 A 1 1 1. 19 0.053
172 A 4 4 1. 19 0.21
173 A 7 4 1. 19 0.21
174 A 10 4 1. 19 0.21
175 A 13 4 1. 19 0.21
176 A 12 3 1. 19 0.158
177 A 9 3 1. 17 0.176
178 A 6 3 1. 15 0.2
179 A 3 2 1. 19 0.105
180 A 4 3 1. 19 0.158
181 A 5 4 1. 19 0.21
182 A 8 4 1. 19 0.21
183 A 11 4 1. 19 0.21
184 A 14 4 1. 19 0.21
185 A 14 3 1. 19 0.158
186 A 11 3 1. 19 0.158
187 A 8 3 1. 19 0.158
188 A 5 3 1. 17 0.176
189 A 2 2 1. 15 0.133
190 A 3 3 1. 19 0.158
191 A 6 3 1. 19 0.158
192 A 9 3 1. 19 0.158
193 A 12 3 1. 19 0.158
194 A 12 4 1. 19 0.21
195 A 9 4 1. 19 0.21
196 A 6 4 1. 19 0.21
197 A 3 3 1. 17 0.176
198 A 3 3 1. 15 0.2
199 A 6 4 1. 19 0.21
200 A 9 4 1. 19 0.21
201 A 12 4 1. 19 0.21
202 A 15 4 1. 19 0.21
203 A 2 1 1. 15 0.067
204 A 2 1 1. 13 0.077
205 A 1 0 1. 11 0.
206 A 2 1 1. 15 0.067
207 A 2 1 1. 15 0.067
208 A 3 2 1. 17 0.118
209 A 3 2 1. 15 0.133
210 A 3 2 1. 13 0.154
211 A 3 2 1. 17 0.118
212 A 3 2 1. 17 0.118
213 A 3 2 1. 17 0.118
214 A 3 2 1. 17 0.118
215 A 3 2 1. 17 0.118
216 A 3 2 1. 17 0.118
217 A 2 2 1. 17 0.118
218 A 4 4 1. 15 0.267
219 A 3 2 1. 13 0.154
220 A 3 2 1. 17 0.118
221 A 3 2 1. 17 0.118
222 A 3 2 1. 17 0.118
223 A 3 2 1. 17 0.118
224 A 3 2 1. 17 0.118
225 A 3 2 1. 17 0.118
226 A 1 1 1. 17 0.059
227 A 3 2 1. 17 0.118
228 A 3 2 1. 17 0.118
229 A 3 2 1. 15 0.133
230 A 3 2 1. 13 0.154
231 A 3 2 1. 17 0.118
232 A 4 3 1. 19 0.158
233 A 3 3 1. 17 0.176
234 A 2 2 1. 15 0.133
235 A 1 1 1. 19 0.053
236 A 3 3 1. 19 0.158
237 A 3 3 1. 19 0.158
238 A 4 4 1. 19 0.21
239 A 5 4 1. 19 0.21
240 A 6 3 1. 19 0.158
241 A 5 3 1. 17 0.176
242 A 4 3 1. 15 0.2
243 A 3 2 1. 19 0.105
244 A 2 2 1. 19 0.105
245 A 1 1 1. 19 0.053
246 A 4 3 1. 19 0.158
247 A 4 4 1. 19 0.21
248 A 4 3 1. 19 0.158
249 A 5 4 1. 19 0.21
250 A 6 4 1. 19 0.21
251 A 7 4 1. 19 0.21
252 A 4 2 1. 19 0.105
253 A 3 2 1. 19 0.105
254 A 2 2 1. 19 0.105
255 A 1 1 1. 17 0.059
256 A 2 2 1. 15 0.133
257 A 3 3 1. 19 0.158
258 A 4 3 1. 19 0.158
259 A 5 3 1. 19 0.158
260 A 4 3 1. 19 0.158
261 A 3 3 1. 19 0.158
262 A 2 2 1. 19 0.105
263 A 1 1 1. 19 0.053
264 A 3 3 1. 19 0.158
265 A 4 4 1. 17 0.235
266 A 5 4 1. 15 0.267
267 A 6 4 1. 19 0.21
268 A 7 4 1. 19 0.21
269 A 5 3 1. 21 0.143
270 A 4 3 1. 21 0.143
271 A 3 3 1. 21 0.143
272 A 2 2 1. 21 0.095
273 A 1 1 1. 21 0.048
274 A 2 2 1. 21 0.095
275 A 3 2 1. 21 0.095
276 A 4 2 1. 21 0.095
277 A 3 3 1. 21 0.143
278 A 3 3 1.27 19 0.158
279 A 3 3 1. 21 0.143
280 A 1 1 1. 21 0.048
281 A 2 2 1. 21 0.095
282 A 3 2 1. 21 0.095
283 A 2 2 1. 17 0.118
284 A 3 2 1. 19 0.105
285 A 2 2 1. 19 0.105
286 A 1 1 1. 19 0.053
287 A 2 2 1. 15 0.133
288 A 3 3 1. 19 0.158
289 A 3 3 1. 19 0.158
290 A 2 2 1. 17 0.118
291 A 3 3 1. 19 0.158
292 A 5 5 1. 19 0.263
293 A 4 4 1. 19 0.21
294 A 5 5 1. 19 0.263
295 A 5 4 1. 21 0.19
296 A 6 6 1. 21 0.286
297 A 3 3 1. 21 0.143
298 A 4 4 1. 21 0.19
299 A 5 5 1. 21 0.238
300 A 2 2 1. 21 0.095
301 A 3 3 1. 21 0.143
302 A 6 6 1. 21 0.286
303 A 1 1 1. 21 0.048
304 A 4 4 1. 21 0.19
305 A 7 6 1. 21 0.286
306 A 2 2 1. 21 0.095
307 A 5 4 1. 21 0.19
308 A 3 2 1. 15 0.133
309 A 3 2 1. 13 0.154
310 A 5 3 1. 19 0.158
311 A 4 3 1. 19 0.158
312 A 3 3 1. 19 0.158
313 A 2 2 1. 17 0.118
314 A 1 1 1. 15 0.067
315 A 2 2 1. 19 0.105
316 A 3 2 1. 19 0.105
317 A 4 2 1. 19 0.105
318 A 5 2 1. 19 0.105
319 A 4 3 1. 11 0.273
320 A 4 3 1. 13 0.231
321 A 3 3 1. 9 0.333
322 A 3 3 1. 9 0.333
323 A 3 3 1. 9 0.333
324 A 3 3 1. 13 0.231
325 A 3 3 1. 13 0.231
326 A 3 3 1. 13 0.231
327 A 3 3 1. 13 0.231
328 A 2 2 1. 11 0.182
329 A 1 1 1. 15 0.067
330 A 1 1 1. 15 0.067
331 A 2 2 1. 23 0.087
332 A 2 2 1. 11 0.182
333 A 2 2 1. 13 0.154
334 A 2 2 1. 13 0.154
335 A 2 2 1. 17 0.118
336 A 2 2 1. 17 0.118
337 A 2 2 1. 17 0.118
338 A 2 2 1. 11 0.182
339 A 2 2 1. 11 0.182
340 A 2 2 1. 11 0.182
341 A 2 2 1. 11 0.182
342 A 2 2 1. 13 0.154
343 A 2 2 1. 13 0.154
344 A 3 2 1. 11 0.182
345 A 4 3 1. 11 0.273
346 A 3 2 1. 11 0.182
347 A 7 7 1. 9 0.778
348 A 2 2 1. 22 0.091
349 A 1 1 1. 13 0.077
350 A 1 1 1. 15 0.067
351 A 1 1 1. 17 0.059
352 A 1 1 1. 13 0.077
353 A 1 1 1. 15 0.067
354 A 1 1 1. 13 0.077
355 A 2 2 1. 11 0.182
356 A 5 5 1. 13 0.385
357 A 2 2 1. 15 0.133
358 A 5 5 1. 13 0.385
359 A 2 2 1. 15 0.133
360 A 2 2 1. 11 0.182
361 A 2 2 1. 11 0.182
362 A 2 2 1. 9 0.222
363 A 5 5 1. 11 0.454
364 A 3 3 1. 25 0.12
365 A 4 4 1. 27 0.148
366 A 4 4 1. 23 0.174
367 A 4 4 1. 22 0.182
368 A 4 4 1. 21 0.19
369 A 5 5 1. 18 0.278
370 A 4 4 1. 23 0.174
371 A 3 3 1. 15 0.2
372 A 4 4 1. 23 0.174
373 A 5 4 1. 27 0.148
374 A 5 4 1. 23 0.174
375 A 5 4 1. 22 0.182
376 A 5 4 1. 21 0.19
377 A 6 5 1. 18 0.278
378 A 5 4 1. 23 0.174
379 A 5 5 1. 22 0.227
380 A 5 4 1. 23 0.174
381 A 5 4 1. 22 0.182
382 A 5 5 1. 13 0.385
383 A 5 5 1. 15 0.333
384 A 4 4 1. 15 0.267
385 A 4 4 1. 15 0.267
386 A 5 5 1. 15 0.333
387 A 5 5 1. 17 0.294
388 A 4 4 1. 17 0.235
389 A 4 4 1. 17 0.235
390 A 3 3 1. 27 0.111
391 A 3 3 1. 23 0.13
392 A 2 2 1. 15 0.133
393 A 3 3 1. 21 0.143
394 A 4 4 1. 18 0.222
395 A 3 3 1. 23 0.13
396 A 3 3 1. 22 0.136
397 A 3 3 1. 23 0.13
398 A 4 4 1. 27 0.148
399 A 4 4 1. 23 0.174
400 A 4 4 1. 22 0.182
401 A 4 4 1. 21 0.19
402 A 5 5 1. 18 0.278
403 A 4 4 1. 23 0.174
404 A 4 4 1. 22 0.182
405 A 4 4 1. 23 0.174
406 A 4 4 1. 22 0.182
407 A 3 3 1. 15 0.2
408 A 3 3 1. 15 0.2
409 A 3 3 1. 15 0.2
410 A 3 3 1. 19 0.158
411 A 3 3 1. 16 0.188
412 A 3 3 1. 16 0.188
413 A 3 3 1. 16 0.188
414 A 3 3 1. 20 0.15
415 A 3 3 1. 19 0.158
416 A 3 3 1. 17 0.176
417 A 3 3 1. 17 0.176
418 A 3 3 1. 20 0.15
419 A 3 3 1. 19 0.158
420 A 3 3 1. 18 0.167
421 A 3 3 1. 21 0.143
422 A 3 3 1. 21 0.143
423 A 3 3 1. 21 0.143
424 A 3 3 1. 21 0.143
425 A 3 3 1. 21 0.143
426 A 3 3 1. 15 0.2
427 A 3 3 1. 15 0.2
428 A 3 3 1. 15 0.2
429 A 3 3 1. 15 0.2
430 A 3 3 1. 15 0.2
431 A 2 2 1. 11 0.182
432 A 1 1 1. 11 0.091
433 A 3 3 1. 13 0.231
434 A 1 1 1. 17 0.059
435 A 1 1 1. 17 0.059
436 A 2 2 1. 15 0.133
437 A 11 10 1. 19 0.526
438 A 9 8 1. 19 0.421
439 A 3 3 1.03 17 0.176
440 A 3 3 1. 22 0.136
441 A 3 3 1.12 22 0.136
442 A 3 3 1. 27 0.111
443 A 3 3 1. 27 0.111
444 A 1 1 1. 18 0.056
445 A 2 2 1. 17 0.118
446 A 2 2 1. 22 0.091
447 A 1 1 1. 23 0.043
448 A 2 2 1. 19 0.105
449 A 2 2 1. 19 0.105
450 A 2 2 1. 19 0.105
451 A 2 2 1. 19 0.105
452 A 2 2 1. 19 0.105
453 A 1 1 1. 25 0.04
454 A 2 2 1. 28 0.071

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