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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 F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 52 52 42 39 62 72 0 107 44
normalized size 1 1. 0.81 0.75 1.19 1.38 0. 2.06 0.85
time (sec) N/A 0.078 0.041 0.008 0.783 0.267 0. 0.279 7.881
Problem 2 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 19 19
normalized size 1 1. 1. 1.16 0.76 1.52 0. 0.76 0.76
time (sec) N/A 0.013 0.016 0.006 0.772 0.264 0. 0.286 1.38
Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 23 27 23 28 0 0 19
normalized size 1 1. 1. 1.17 1. 1.22 0. 0. 0.83
time (sec) N/A 0.013 0.022 0.006 0.768 0.274 0. 0. 1.385
Problem 4 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 77 77 46 46 51 73 0 0 70
normalized size 1 1. 0.6 0.6 0.66 0.95 0. 0. 0.91
time (sec) N/A 0.097 0.036 0.007 0.771 0.274 0. 0. 9.217
Problem 5 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 48 48 48 38 50 76 48 51 44
normalized size 1 1. 1. 0.79 1.04 1.58 1. 1.06 0.92
time (sec) N/A 0.052 0.026 0.01 0.847 0.27 0.357 0.292 7.486
Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 79 79 39 36 0 18 12 31 0
normalized size 1 1. 0.49 0.46 0. 0.23 0.15 0.39 0.
time (sec) N/A 0.069 0.023 0.006 0. 0.268 0.209 0.281 0.
Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 79 79 39 36 18 18 12 39 0
normalized size 1 1. 0.49 0.46 0.23 0.23 0.15 0.49 0.
time (sec) N/A 0.067 0.013 0.005 0.782 0.264 0.215 0.273 0.
Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 79 79 39 36 18 18 12 39 0
normalized size 1 1. 0.49 0.46 0.23 0.23 0.15 0.49 0.
time (sec) N/A 0.066 0.012 0.004 0.785 0.266 0.22 0.279 0.
Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 36 36 38 35 0 18 12 30 0
normalized size 1 1. 1.06 0.97 0. 0.5 0.33 0.83 0.
time (sec) N/A 0.068 0.012 0.004 0. 0.266 0.204 0.308 0.
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 79 79 39 36 18 18 12 39 0
normalized size 1 1. 0.49 0.46 0.23 0.23 0.15 0.49 0.
time (sec) N/A 0.054 0.013 0.004 0.817 0.266 0.207 0.277 0.
Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 36 33 14 14 8 27 0
normalized size 1 1. 0.49 0.45 0.19 0.19 0.11 0.36 0.
time (sec) N/A 0.034 0.015 0.003 0.815 0.265 0.195 0.268 0.
Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 75 75 37 34 0 15 10 38 0
normalized size 1 1. 0.49 0.45 0. 0.2 0.13 0.51 0.
time (sec) N/A 0.061 0.016 0.014 0. 0.274 0.277 0.269 0.
Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 38 36 19 19 8 39 0
normalized size 1 1. 0.49 0.47 0.25 0.25 0.1 0.51 0.
time (sec) N/A 0.062 0.019 0.004 0.766 0.264 1.108 0.281 0.
Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 37 34 20 20 8 35 0
normalized size 1 1. 0.5 0.46 0.27 0.27 0.11 0.47 0.
time (sec) N/A 0.062 0.013 0.004 0.756 0.247 1.213 0.257 0.
Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 75 75 39 38 0 23 10 58 0
normalized size 1 1. 0.52 0.51 0. 0.31 0.13 0.77 0.
time (sec) N/A 0.064 0.016 0.015 0. 0.282 1.197 0.297 0.
Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 37 34 18 18 14 41 0
normalized size 1 1. 0.48 0.44 0.23 0.23 0.18 0.53 0.
time (sec) N/A 0.065 0.013 0.004 0.765 0.25 1.323 0.271 0.
Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 79 79 39 36 20 20 15 42 0
normalized size 1 1. 0.49 0.46 0.25 0.25 0.19 0.53 0.
time (sec) N/A 0.064 0.014 0.004 0.785 0.253 1.255 0.265 0.
Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 79 79 37 34 0 18 14 41 0
normalized size 1 1. 0.47 0.43 0. 0.23 0.18 0.52 0.
time (sec) N/A 0.063 0.017 0.004 0. 0.249 1.272 0.285 0.
Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 79 79 39 36 20 20 15 42 0
normalized size 1 1. 0.49 0.46 0.25 0.25 0.19 0.53 0.
time (sec) N/A 0.063 0.016 0.004 0.784 0.257 1.319 0.274 0.
Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 79 79 39 36 20 20 15 42 0
normalized size 1 1. 0.49 0.46 0.25 0.25 0.19 0.53 0.
time (sec) N/A 0.063 0.013 0.005 0.791 0.272 1.373 0.287 0.
Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 79 79 39 36 0 20 15 42 0
normalized size 1 1. 0.49 0.46 0. 0.25 0.19 0.53 0.
time (sec) N/A 0.063 0.014 0.005 0. 0.259 1.404 0.269 0.
Problem 22 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 79 79 39 36 20 20 15 42 0
normalized size 1 1. 0.49 0.46 0.25 0.25 0.19 0.53 0.
time (sec) N/A 0.064 0.014 0.006 0.776 0.275 1.413 0.287 0.
Problem 23 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 167 167 61 58 47 47 0 90 136
normalized size 1 1. 0.37 0.35 0.28 0.28 0. 0.54 0.81
time (sec) N/A 0.124 0.033 0.011 0.781 0.255 0. 0.266 17.258
Problem 24 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 119 167 61 58 0 47 0 90 107
normalized size 1 1.4 0.51 0.49 0. 0.39 0. 0.76 0.9
time (sec) N/A 0.153 0.029 0.011 0. 0.254 0. 0.303 21.886
Problem 25 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 167 167 61 58 47 47 0 90 136
normalized size 1 1. 0.37 0.35 0.28 0.28 0. 0.54 0.81
time (sec) N/A 0.12 0.03 0.01 0.76 0.251 0. 0.269 17.323
Problem 26 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 167 167 61 58 47 47 0 90 136
normalized size 1 1. 0.37 0.35 0.28 0.28 0. 0.54 0.81
time (sec) N/A 0.121 0.032 0.01 0.762 0.256 0. 0.272 17.968
Problem 27 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 78 78 61 58 0 47 0 61 65
normalized size 1 1. 0.78 0.74 0. 0.6 0. 0.78 0.83
time (sec) N/A 0.128 0.031 0.01 0. 0.249 0. 0.299 14.732
Problem 28 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 167 167 61 58 47 47 0 90 136
normalized size 1 1. 0.37 0.35 0.28 0.28 0. 0.54 0.81
time (sec) N/A 0.122 0.027 0.01 0.77 0.252 0. 0.269 17.326
Problem 29 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 167 167 61 58 47 47 0 90 136
normalized size 1 1. 0.37 0.35 0.28 0.28 0. 0.54 0.81
time (sec) N/A 0.12 0.031 0.009 0.807 0.255 0. 0.302 17.912
Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 36 36 60 0 0 47 0 59 34
normalized size 1 1. 1.67 0. 0. 1.31 0. 1.64 0.94
time (sec) N/A 0.069 0.028 180. 0. 0.254 0. 0.309 9.141
Problem 31 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 167 167 61 58 47 47 0 90 136
normalized size 1 1. 0.37 0.35 0.28 0.28 0. 0.54 0.81
time (sec) N/A 0.105 0.029 0.007 0.798 0.25 0. 0.297 15.581
Problem 32 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 162 162 59 56 43 43 0 86 129
normalized size 1 1. 0.36 0.35 0.27 0.27 0. 0.53 0.8
time (sec) N/A 0.08 0.031 0.005 0.785 0.251 0. 0.26 5.605
Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 160 160 60 57 0 43 0 88 117
normalized size 1 1. 0.38 0.36 0. 0.27 0. 0.55 0.73
time (sec) N/A 0.121 0.037 0.012 0. 0.259 0. 0.291 16.882
Problem 34 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 165 165 61 58 50 50 0 90 128
normalized size 1 1. 0.37 0.35 0.3 0.3 0. 0.55 0.78
time (sec) N/A 0.114 0.029 0.01 0.8 0.27 0. 0.278 17.269
Problem 35 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 163 163 61 58 50 50 0 88 134
normalized size 1 1. 0.37 0.36 0.31 0.31 0. 0.54 0.82
time (sec) N/A 0.113 0.032 0.009 0.784 0.255 0. 0.295 16.866
Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 161 161 62 59 0 51 0 115 126
normalized size 1 1. 0.39 0.37 0. 0.32 0. 0.71 0.78
time (sec) N/A 0.129 0.039 0.019 0. 0.26 0. 0.274 16.755
Problem 37 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 165 165 61 58 50 50 0 93 139
normalized size 1 1. 0.37 0.35 0.3 0.3 0. 0.56 0.84
time (sec) N/A 0.114 0.034 0.009 0.803 0.266 0. 0.275 16.337
Problem 38 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 163 163 61 58 50 50 0 92 136
normalized size 1 1. 0.37 0.36 0.31 0.31 0. 0.56 0.83
time (sec) N/A 0.112 0.033 0.009 0.791 0.264 0. 0.292 11.524
Problem 39 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 162 162 61 60 0 53 0 116 128
normalized size 1 1. 0.38 0.37 0. 0.33 0. 0.72 0.79
time (sec) N/A 0.125 0.028 0.018 0. 0.291 0. 0.273 17.026
Problem 40 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 165 165 61 58 50 50 0 95 134
normalized size 1 1. 0.37 0.35 0.3 0.3 0. 0.58 0.81
time (sec) N/A 0.116 0.023 0.009 0.775 0.257 0. 0.277 17.031
Problem 41 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 162 162 61 58 50 50 0 90 138
normalized size 1 1. 0.38 0.36 0.31 0.31 0. 0.56 0.85
time (sec) N/A 0.11 0.024 0.009 0.778 0.255 0. 0.296 16.924
Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 161 161 63 60 0 53 0 115 138
normalized size 1 1. 0.39 0.37 0. 0.33 0. 0.71 0.86
time (sec) N/A 0.125 0.043 0.018 0. 0.257 0. 0.27 22.474
Problem 43 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 165 165 61 58 50 50 0 93 138
normalized size 1 1. 0.37 0.35 0.3 0.3 0. 0.56 0.84
time (sec) N/A 0.114 0.027 0.01 0.758 0.28 0. 0.277 16.998
Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 167 167 61 58 50 50 0 93 138
normalized size 1 1. 0.37 0.35 0.3 0.3 0. 0.56 0.83
time (sec) N/A 0.114 0.031 0.01 0.758 0.262 0. 0.26 17.05
Problem 45 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 41 41 59 56 0 47 0 92 39
normalized size 1 1. 1.44 1.37 0. 1.15 0. 2.24 0.95
time (sec) N/A 0.056 0.026 0.011 0. 0.265 0. 0.319 8.428
Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 167 167 61 58 50 50 0 93 138
normalized size 1 1. 0.37 0.35 0.3 0.3 0. 0.56 0.83
time (sec) N/A 0.115 0.024 0.01 0.81 0.267 0. 0.282 16.971
Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 167 167 61 58 50 50 0 93 138
normalized size 1 1. 0.37 0.35 0.3 0.3 0. 0.56 0.83
time (sec) N/A 0.115 0.034 0.011 0.834 0.264 0. 0.275 17.099
Problem 48 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 61 58 0 50 0 93 68
normalized size 1 1. 0.73 0.69 0. 0.6 0. 1.11 0.81
time (sec) N/A 0.108 0.026 0.011 0. 0.264 0. 0.266 8.707
Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 167 167 61 58 50 50 0 93 138
normalized size 1 1. 0.37 0.35 0.3 0.3 0. 0.56 0.83
time (sec) N/A 0.115 0.025 0.011 0.771 0.266 0. 0.287 16.992
Problem 50 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 255 255 83 80 77 77 0 142 207
normalized size 1 1. 0.33 0.31 0.3 0.3 0. 0.56 0.81
time (sec) N/A 0.172 0.044 0.012 0.777 0.262 0. 0.268 27.247
Problem 51 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 255 255 83 80 77 77 0 142 207
normalized size 1 1. 0.33 0.31 0.3 0.3 0. 0.56 0.81
time (sec) N/A 0.166 0.037 0.012 0.781 0.252 0. 0.286 27.142
Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 160 160 83 80 0 77 0 142 151
normalized size 1 1. 0.52 0.5 0. 0.48 0. 0.89 0.94
time (sec) N/A 0.264 0.04 0.01 0. 0.257 0. 0.27 29.952
Problem 53 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 255 255 83 80 77 77 0 142 207
normalized size 1 1. 0.33 0.31 0.3 0.3 0. 0.56 0.81
time (sec) N/A 0.171 0.037 0.012 0.776 0.267 0. 0.267 27.112
Problem 54 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 255 255 83 80 77 77 0 142 207
normalized size 1 1. 0.33 0.31 0.3 0.3 0. 0.56 0.81
time (sec) N/A 0.169 0.041 0.011 0.789 0.274 0. 0.287 27.242
Problem 55 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 119 119 83 80 0 77 0 142 107
normalized size 1 1. 0.7 0.67 0. 0.65 0. 1.19 0.9
time (sec) N/A 0.208 0.037 0.009 0. 0.25 0. 0.289 21.982
Problem 56 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 255 255 83 80 77 77 0 142 207
normalized size 1 1. 0.33 0.31 0.3 0.3 0. 0.56 0.81
time (sec) N/A 0.166 0.039 0.011 0.816 0.254 0. 0.27 27.213
Problem 57 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 255 255 83 80 77 77 0 142 207
normalized size 1 1. 0.33 0.31 0.3 0.3 0. 0.56 0.81
time (sec) N/A 0.166 0.036 0.011 0.802 0.251 0. 0.3 28.113
Problem 58 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 78 78 83 80 0 77 0 90 65
normalized size 1 1. 1.06 1.03 0. 0.99 0. 1.15 0.83
time (sec) N/A 0.14 0.036 0.009 0. 0.25 0. 0.267 14.741
Problem 59 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 255 255 83 80 77 77 0 142 207
normalized size 1 1. 0.33 0.31 0.3 0.3 0. 0.56 0.81
time (sec) N/A 0.164 0.037 0.01 0.822 0.254 0. 0.265 27.09
Problem 60 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 252 252 83 80 76 76 0 140 207
normalized size 1 1. 0.33 0.32 0.3 0.3 0. 0.56 0.82
time (sec) N/A 0.163 0.041 0.01 0.782 0.256 0. 0.289 28.149
Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 36 36 82 79 0 77 0 89 34
normalized size 1 1. 2.28 2.19 0. 2.14 0. 2.47 0.94
time (sec) N/A 0.069 0.036 0.01 0. 0.268 0. 0.27 9.212
Problem 62 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 252 252 83 80 76 76 0 140 207
normalized size 1 1. 0.33 0.32 0.3 0.3 0. 0.56 0.82
time (sec) N/A 0.148 0.035 0.008 0.807 0.264 0. 0.277 24.454
Problem 63 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 247 247 81 78 72 72 0 136 197
normalized size 1 1. 0.33 0.32 0.29 0.29 0. 0.55 0.8
time (sec) N/A 0.122 0.037 0.006 0.811 0.259 0. 0.272 9.86
Problem 64 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 251 251 82 79 0 74 0 140 178
normalized size 1 1. 0.33 0.31 0. 0.29 0. 0.56 0.71
time (sec) N/A 0.172 0.051 0.012 0. 0.272 0. 0.297 26.481
Problem 65 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 251 251 83 80 80 80 0 142 196
normalized size 1 1. 0.33 0.32 0.32 0.32 0. 0.57 0.78
time (sec) N/A 0.158 0.038 0.01 0.788 0.263 0. 0.28 26.71
Problem 66 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 251 251 83 80 80 80 0 139 206
normalized size 1 1. 0.33 0.32 0.32 0.32 0. 0.55 0.82
time (sec) N/A 0.157 0.036 0.01 0.82 0.271 0. 0.287 26.698
Problem 67 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 252 252 85 82 0 82 0 167 199
normalized size 1 1. 0.34 0.33 0. 0.33 0. 0.66 0.79
time (sec) N/A 0.186 0.052 0.019 0. 0.262 0. 0.283 26.165
Problem 68 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 249 249 83 80 80 80 0 144 216
normalized size 1 1. 0.33 0.32 0.32 0.32 0. 0.58 0.87
time (sec) N/A 0.159 0.05 0.009 0.764 0.27 0. 0.3 25.973
Problem 69 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 251 251 83 80 80 80 0 143 211
normalized size 1 1. 0.33 0.32 0.32 0.32 0. 0.57 0.84
time (sec) N/A 0.158 0.038 0.011 0.762 0.268 0. 0.27 16.208
Problem 70 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 252 252 85 82 0 82 0 170 201
normalized size 1 1. 0.34 0.33 0. 0.33 0. 0.67 0.8
time (sec) N/A 0.181 0.049 0.019 0. 0.259 0. 0.289 27.134
Problem 71 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 248 248 83 80 80 80 0 144 209
normalized size 1 1. 0.33 0.32 0.32 0.32 0. 0.58 0.84
time (sec) N/A 0.16 0.041 0.01 0.772 0.274 0. 0.263 27.25
Problem 72 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 247 247 83 80 80 80 0 142 214
normalized size 1 1. 0.34 0.32 0.32 0.32 0. 0.57 0.87
time (sec) N/A 0.158 0.037 0.01 0.794 0.262 0. 0.258 27.166
Problem 73 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 252 252 85 82 0 82 0 171 209
normalized size 1 1. 0.34 0.33 0. 0.33 0. 0.68 0.83
time (sec) N/A 0.181 0.046 0.019 0. 0.269 0. 0.3 27.082
Problem 74 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 253 253 83 80 80 80 0 146 212
normalized size 1 1. 0.33 0.32 0.32 0.32 0. 0.58 0.84
time (sec) N/A 0.161 0.033 0.01 0.817 0.253 0. 0.259 26.364
Problem 75 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 247 247 83 80 80 80 0 143 209
normalized size 1 1. 0.34 0.32 0.32 0.32 0. 0.58 0.85
time (sec) N/A 0.157 0.03 0.009 0.796 0.287 0. 0.297 21.39
Problem 76 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 252 252 85 82 0 82 0 169 206
normalized size 1 1. 0.34 0.33 0. 0.33 0. 0.67 0.82
time (sec) N/A 0.179 0.035 0.02 0. 0.258 0. 0.305 27.041
Problem 77 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 253 253 83 80 80 80 0 146 207
normalized size 1 1. 0.33 0.32 0.32 0.32 0. 0.58 0.82
time (sec) N/A 0.162 0.031 0.01 0.789 0.268 0. 0.279 26.948
Problem 78 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 248 248 83 80 80 80 0 142 211
normalized size 1 1. 0.33 0.32 0.32 0.32 0. 0.57 0.85
time (sec) N/A 0.157 0.033 0.009 0.803 0.256 0. 0.294 26.695
Problem 79 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 251 251 85 82 0 82 0 166 209
normalized size 1 1. 0.34 0.33 0. 0.33 0. 0.66 0.83
time (sec) N/A 0.175 0.048 0.019 0. 0.263 0. 0.283 32.273
Problem 80 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 251 251 83 80 80 80 0 144 211
normalized size 1 1. 0.33 0.32 0.32 0.32 0. 0.57 0.84
time (sec) N/A 0.158 0.038 0.011 0.803 0.269 0. 0.275 26.837
Problem 81 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 253 253 83 80 80 80 0 144 211
normalized size 1 1. 0.33 0.32 0.32 0.32 0. 0.57 0.83
time (sec) N/A 0.159 0.035 0.012 0.795 0.255 0. 0.275 26.81
Problem 82 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 41 41 81 78 0 77 0 143 39
normalized size 1 1. 1.98 1.9 0. 1.88 0. 3.49 0.95
time (sec) N/A 0.059 0.031 0.011 0. 0.259 0. 0.286 8.404
Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 253 253 83 80 80 80 0 144 211
normalized size 1 1. 0.33 0.32 0.32 0.32 0. 0.57 0.83
time (sec) N/A 0.163 0.035 0.011 0.79 0.27 0. 0.29 27.987
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 255 255 83 80 80 80 0 144 211
normalized size 1 1. 0.33 0.31 0.31 0.31 0. 0.56 0.83
time (sec) N/A 0.163 0.034 0.012 0.803 0.253 0. 0.279 26.891
Problem 85 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 84 84 83 80 0 80 0 144 68
normalized size 1 1. 0.99 0.95 0. 0.95 0. 1.71 0.81
time (sec) N/A 0.11 0.032 0.012 0. 0.254 0. 0.28 8.64
Problem 86 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 255 255 83 80 80 80 0 144 211
normalized size 1 1. 0.33 0.31 0.31 0.31 0. 0.56 0.83
time (sec) N/A 0.161 0.031 0.012 0.785 0.252 0. 0.28 26.814
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 255 255 83 80 80 80 0 144 211
normalized size 1 1. 0.33 0.31 0.31 0.31 0. 0.56 0.83
time (sec) N/A 0.161 0.037 0.012 0.783 0.254 0. 0.272 26.811
Problem 88 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 128 128 83 80 0 80 0 144 112
normalized size 1 1. 0.65 0.62 0. 0.62 0. 1.12 0.88
time (sec) N/A 0.145 0.035 0.015 0. 0.252 0. 0.261 15.649
Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 240 240 131 113 0 190 32 197 0
normalized size 1 1. 0.55 0.47 0. 0.79 0.13 0.82 0.
time (sec) N/A 0.278 0.106 0.016 0. 0.266 1.352 0.304 0.
Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 235 235 128 110 0 157 22 193 0
normalized size 1 1. 0.54 0.47 0. 0.67 0.09 0.82 0.
time (sec) N/A 0.264 0.058 0.01 0. 0.275 1.325 0.317 0.
Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 35 32 23 18 10 30 29
normalized size 1 1. 0.8 0.73 0.52 0.41 0.23 0.68 0.66
time (sec) N/A 0.083 0.015 0.009 0.782 0.258 0.421 0.296 2.175
Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 202 202 109 97 0 134 24 184 0
normalized size 1 1. 0.54 0.48 0. 0.66 0.12 0.91 0.
time (sec) N/A 0.191 0.048 0.008 0. 0.282 0.432 0.283 0.
Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 202 202 109 97 0 120 20 165 0
normalized size 1 1. 0.54 0.48 0. 0.59 0.1 0.82 0.
time (sec) N/A 0.254 0.04 0.006 0. 0.26 0.467 0.294 0.
Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 80 80 42 37 0 24 15 43 0
normalized size 1 1. 0.52 0.46 0. 0.3 0.19 0.54 0.
time (sec) N/A 0.096 0.024 0.013 0. 0.274 0.721 0.278 0.
Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 238 238 133 111 0 171 29 177 0
normalized size 1 1. 0.56 0.47 0. 0.72 0.12 0.74 0.
time (sec) N/A 0.247 0.065 0.013 0. 0.271 1.451 0.28 0.
Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 240 240 140 118 0 217 32 169 0
normalized size 1 1. 0.58 0.49 0. 0.9 0.13 0.7 0.
time (sec) N/A 0.242 0.068 0.013 0. 0.264 1.571 0.28 0.
Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 122 122 54 52 0 45 31 68 0
normalized size 1 1. 0.44 0.43 0. 0.37 0.25 0.56 0.
time (sec) N/A 0.125 0.028 0.018 0. 0.26 1.949 0.28 0.
Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 280 280 235 299 0 278 0 4 0
normalized size 1 1. 0.84 1.07 0. 0.99 0. 0.01 0.
time (sec) N/A 0.303 0.144 0.024 0. 0.278 0. 0.643 0.
Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 276 276 235 299 0 259 0 4 0
normalized size 1 1. 0.85 1.08 0. 0.94 0. 0.01 0.
time (sec) N/A 0.294 0.136 0.023 0. 0.271 0. 0.708 0.
Problem 100 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 38 38 27 24 24 35 0 4 36
normalized size 1 1. 0.71 0.63 0.63 0.92 0. 0.11 0.95
time (sec) N/A 0.072 0.02 0.01 0.807 0.261 0. 0.741 9.281
Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 277 277 237 301 0 277 0 4 0
normalized size 1 1. 0.86 1.09 0. 1. 0. 0.01 0.
time (sec) N/A 0.294 0.135 0.014 0. 0.272 0. 0.734 0.
Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 286 286 235 299 0 259 0 4 0
normalized size 1 1. 0.82 1.05 0. 0.91 0. 0.01 0.
time (sec) N/A 0.306 0.148 0.012 0. 0.273 0. 0.708 0.
Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 147 147 74 107 0 122 0 4 144
normalized size 1 1. 0.5 0.73 0. 0.83 0. 0.03 0.98
time (sec) N/A 0.184 0.051 0.02 0. 0.265 0. 0.721 28.117
Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 316 316 260 316 0 306 0 4 0
normalized size 1 1. 0.82 1. 0. 0.97 0. 0.01 0.
time (sec) N/A 0.353 0.177 0.027 0. 0.266 0. 0.707 0.
Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 316 316 266 322 0 355 0 4 0
normalized size 1 1. 0.84 1.02 0. 1.12 0. 0.01 0.
time (sec) N/A 0.357 0.197 0.027 0. 0.274 0. 0.732 0.
Problem 106 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 188 188 97 133 0 161 0 4 180
normalized size 1 1. 0.52 0.71 0. 0.86 0. 0.02 0.96
time (sec) N/A 0.215 0.061 0.023 0. 0.275 0. 0.697 35.764
Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A F A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 359 359 218 519 0 416 0 4 0
normalized size 1 1. 0.61 1.45 0. 1.16 0. 0.01 0.
time (sec) N/A 0.411 0.266 0.028 0. 0.274 0. 1.108 0.
Problem 108 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 78 78 39 32 65 78 0 4 66
normalized size 1 1. 0.5 0.41 0.83 1. 0. 0.05 0.85
time (sec) N/A 0.124 0.034 0.012 0.785 0.262 0. 0.734 14.879
Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A F A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 368 368 229 521 0 431 0 4 0
normalized size 1 1. 0.62 1.42 0. 1.17 0. 0.01 0.
time (sec) N/A 0.425 0.27 0.028 0. 0.28 0. 0.71 0.
Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A F A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 360 360 221 519 0 413 0 4 0
normalized size 1 1. 0.61 1.44 0. 1.15 0. 0.01 0.
time (sec) N/A 0.406 0.279 0.027 0. 0.275 0. 0.724 0.
Problem 111 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 38 38 27 24 24 65 0 4 36
normalized size 1 1. 0.71 0.63 0.63 1.71 0. 0.11 0.95
time (sec) N/A 0.072 0.022 0.011 0.791 0.265 0. 0.708 9.266
Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A F A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 359 359 219 521 0 425 0 4 0
normalized size 1 1. 0.61 1.45 0. 1.18 0. 0.01 0.
time (sec) N/A 0.398 0.236 0.015 0. 0.278 0. 0.722 0.
Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 364 364 211 519 0 408 0 4 0
normalized size 1 1. 0.58 1.43 0. 1.12 0. 0.01 0.
time (sec) N/A 0.406 0.231 0.013 0. 0.271 0. 0.66 0.
Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 223 223 96 193 0 240 0 4 211
normalized size 1 1. 0.43 0.87 0. 1.08 0. 0.02 0.95
time (sec) N/A 0.267 0.083 0.022 0. 0.28 0. 0.676 38.002
Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A F A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 398 398 242 536 0 455 0 4 0
normalized size 1 1. 0.61 1.35 0. 1.14 0. 0.01 0.
time (sec) N/A 0.477 0.276 0.033 0. 0.268 0. 0.657 0.
Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A F A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 398 398 234 542 0 504 0 4 0
normalized size 1 1. 0.59 1.36 0. 1.27 0. 0.01 0.
time (sec) N/A 0.487 0.279 0.033 0. 0.277 0. 0.699 0.
Problem 117 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 269 269 119 219 0 279 0 4 264
normalized size 1 1. 0.44 0.81 0. 1.04 0. 0.01 0.98
time (sec) N/A 0.311 0.096 0.026 0. 0.269 0. 0.659 46.066
Problem 118 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 313 313 111 453 328 498 0 1312 298
normalized size 1 1. 0.35 1.45 1.05 1.59 0. 4.19 0.95
time (sec) N/A 0.32 0.121 0.011 0.802 0.28 0. 0.318 66.403
Problem 119 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 205 205 79 199 161 215 0 562 182
normalized size 1 1. 0.39 0.97 0.79 1.05 0. 2.74 0.89
time (sec) N/A 0.199 0.07 0.009 0.8 0.267 0. 0.302 30.631
Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 47 56 47 47 0 123 80
normalized size 1 1. 0.48 0.58 0.48 0.48 0. 1.27 0.82
time (sec) N/A 0.093 0.044 0.005 0.795 0.276 0. 0.315 10.822
Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 62 0 0 0 0 0 61
normalized size 1 1. 0.85 0. 0. 0. 0. 0. 0.84
time (sec) N/A 0.088 0.049 0.04 0. 0. 0. 0. 16.506
Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 60 0 0 0 0 0 63
normalized size 1 1. 0.82 0. 0. 0. 0. 0. 0.86
time (sec) N/A 0.087 0.056 0.034 0. 0. 0. 0. 16.231
Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 60 0 0 0 0 0 63
normalized size 1 1. 0.82 0. 0. 0. 0. 0. 0.86
time (sec) N/A 0.085 0.064 0.051 0. 0. 0. 0. 16.174
Problem 124 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 77 77 66 0 0 0 0 0 66
normalized size 1 1. 0.86 0. 0. 0. 0. 0. 0.86
time (sec) N/A 0.063 0.064 0.134 0. 0. 0. 0. 19.466
Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-2) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 172 172 110 150 155 220 0 536 184
normalized size 1 1. 0.64 0.87 0.9 1.28 0. 3.12 1.07
time (sec) N/A 0.226 0.073 0.012 0.794 0.268 0. 0.296 45.869
Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-2) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 130 130 77 96 107 146 0 336 128
normalized size 1 1. 0.59 0.74 0.82 1.12 0. 2.58 0.98
time (sec) N/A 0.169 0.048 0.01 0.796 0.285 0. 0.27 29.11
Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-2) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 84 84 51 60 73 95 0 189 71
normalized size 1 1. 0.61 0.71 0.87 1.13 0. 2.25 0.85
time (sec) N/A 0.124 0.029 0.009 0.778 0.267 0. 0.281 17.161
Problem 128 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 60 60 51 0 0 0 0 0 53
normalized size 1 1. 0.85 0. 0. 0. 0. 0. 0.88
time (sec) N/A 0.055 0.029 0.07 0. 0. 0. 0. 17.47
Problem 129 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 60 60 51 0 0 0 0 0 53
normalized size 1 1. 0.85 0. 0. 0. 0. 0. 0.88
time (sec) N/A 0.055 0.021 0.056 0. 0. 0. 0. 18.287
Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-2) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 30 40 41 50 0 84 37
normalized size 1 1. 0.73 0.98 1. 1.22 0. 2.05 0.9
time (sec) N/A 0.061 0.018 0.008 0.772 0.268 0. 0.283 10.49
Problem 131 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 58 60 51 0 0 0 0 0 53
normalized size 1 1.03 0.88 0. 0. 0. 0. 0. 0.91
time (sec) N/A 0.043 0.018 0.041 0. 0. 0. 0. 15.677
Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 53 55 204 0 0 0 0 0 49
normalized size 1 1.04 3.85 0. 0. 0. 0. 0. 0.92
time (sec) N/A 0.038 0.315 0.02 0. 0. 0. 0. 7.031
Problem 133 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 63 63 53 0 0 0 0 0 76
normalized size 1 1. 0.84 0. 0. 0. 0. 0. 1.21
time (sec) N/A 0.08 0.036 0.03 0. 0. 0. 0. 18.152
Problem 134 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 58 58 49 0 0 0 0 0 53
normalized size 1 1. 0.84 0. 0. 0. 0. 0. 0.91
time (sec) N/A 0.05 0.029 0.05 0. 0. 0. 0. 17.219
Problem 135 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 60 60 51 0 0 0 0 0 56
normalized size 1 1. 0.85 0. 0. 0. 0. 0. 0.93
time (sec) N/A 0.049 0.024 0.057 0. 0. 0. 0. 17.187
Problem 136 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 64 64 62 0 0 0 0 0 75
normalized size 1 1. 0.97 0. 0. 0. 0. 0. 1.17
time (sec) N/A 0.085 0.028 0.059 0. 0. 0. 0. 18.104
Problem 137 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 60 60 51 0 0 0 0 0 58
normalized size 1 1. 0.85 0. 0. 0. 0. 0. 0.97
time (sec) N/A 0.049 0.031 0.07 0. 0. 0. 0. 17.218
Problem 138 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 81 81 78 111 0 1 316 101 73
normalized size 1 1. 0.96 1.37 0. 0.01 3.9 1.25 0.9
time (sec) N/A 0.165 0.094 0.006 0. 0.275 8.017 0.279 29.638
Problem 139 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 63 63 62 60 0 1 223 80 54
normalized size 1 1. 0.98 0.95 0. 0.02 3.54 1.27 0.86
time (sec) N/A 0.113 0.042 0.004 0. 0.275 4.177 0.31 19.092
Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 38 38 42 37 0 1 131 49 37
normalized size 1 1. 1.11 0.97 0. 0.03 3.45 1.29 0.97
time (sec) N/A 0.07 0.016 0.002 0. 0.271 1.934 0.297 10.927
Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 69 69 66 66 0 1 253 89 63
normalized size 1 1. 0.96 0.96 0. 0.01 3.67 1.29 0.91
time (sec) N/A 0.134 0.04 0.007 0. 0.282 12.134 0.263 26.878
Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 92 119 0 1 0 126 87
normalized size 1 1. 1.03 1.34 0. 0.01 0. 1.42 0.98
time (sec) N/A 0.259 0.053 0.007 0. 0.323 0. 0.263 42.901
Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 636 636 70 61 0 7657 279 0 0
normalized size 1 1. 0.11 0.1 0. 12.04 0.44 0. 0.
time (sec) N/A 2.612 0.053 0.119 0. 0.609 13.096 0. 0.
Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 631 631 70 59 0 6885 196 0 0
normalized size 1 1. 0.11 0.09 0. 10.91 0.31 0. 0.
time (sec) N/A 2.48 0.055 0.007 0. 0.419 8.912 0. 0.
Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 558 558 44 43 0 5165 175 0 529
normalized size 1 1. 0.08 0.08 0. 9.26 0.31 0. 0.95
time (sec) N/A 1.275 0.03 0.005 0. 0.329 5.784 0. 149.312
Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 558 558 42 43 0 3260 122 0 529
normalized size 1 1. 0.08 0.08 0. 5.84 0.22 0. 0.95
time (sec) N/A 1.294 0.027 0.004 0. 0.293 6.328 0. 139.29
Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 558 558 43 41 0 4020 158 0 529
normalized size 1 1. 0.08 0.07 0. 7.2 0.28 0. 0.95
time (sec) N/A 1.234 0.03 0.004 0. 0.304 4.724 0. 147.85
Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 558 558 45 40 0 5284 155 0 529
normalized size 1 1. 0.08 0.07 0. 9.47 0.28 0. 0.95
time (sec) N/A 1.262 0.03 0.004 0. 0.359 9.293 0. 133.387
Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 610 610 71 61 0 7272 252 0 0
normalized size 1 1. 0.12 0.1 0. 11.92 0.41 0. 0.
time (sec) N/A 1.703 0.054 0.008 0. 0.55 8.33 0. 0.
Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 612 612 75 62 0 7645 241 0 0
normalized size 1 1. 0.12 0.1 0. 12.49 0.39 0. 0.
time (sec) N/A 1.95 0.056 0.009 0. 0.494 18.548 0. 0.
Problem 151 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 35 35 35 28 36 36 29 39 0
normalized size 1 1. 1. 0.8 1.03 1.03 0.83 1.11 0.
time (sec) N/A 0.056 0.011 0.009 0.781 0.261 0.256 0.285 0.
Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 28 28 28 23 30 30 22 32 22
normalized size 1 1. 1. 0.82 1.07 1.07 0.79 1.14 0.79
time (sec) N/A 0.047 0.009 0.007 0.78 0.263 0.266 0.277 11.133
Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 21 18 23 23 15 26 15
normalized size 1 1. 1. 0.86 1.1 1.1 0.71 1.24 0.71
time (sec) N/A 0.036 0.007 0.007 0.795 0.258 0.236 0.301 7.919
Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A B B B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 21 21 18 23 23 15 26 15
normalized size 1 2.1 2.1 1.8 2.3 2.3 1.5 2.6 1.5
time (sec) N/A 0.03 0.006 0.007 0.782 0.254 0.216 0.262 5.733
Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 27 31 31 28 20 32 22
normalized size 1 1. 1. 1.15 1.15 1.04 0.74 1.19 0.81
time (sec) N/A 0.045 0.01 0.013 0.789 0.253 0.3 0.288 10.989
Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 34 36 38 47 29 49 31
normalized size 1 1. 1. 1.06 1.12 1.38 0.85 1.44 0.91
time (sec) N/A 0.076 0.01 0.013 0.762 0.253 0.422 0.284 16.495
Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 41 41 47 54 34 55 37
normalized size 1 1. 1. 1. 1.15 1.32 0.83 1.34 0.9
time (sec) N/A 0.085 0.009 0.013 0.773 0.249 0.532 0.303 15.142
Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 124 124 118 94 127 163 144 0 119
normalized size 1 1. 0.95 0.76 1.02 1.31 1.16 0. 0.96
time (sec) N/A 0.243 0.095 0.014 0.858 0.258 2.222 0. 34.979
Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 122 122 114 92 124 140 129 0 117
normalized size 1 1. 0.93 0.75 1.02 1.15 1.06 0. 0.96
time (sec) N/A 0.202 0.052 0.01 0.841 0.258 2.206 0. 36.238
Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 119 119 111 89 120 154 134 0 110
normalized size 1 1. 0.93 0.75 1.01 1.29 1.13 0. 0.92
time (sec) N/A 0.167 0.048 0.009 0.868 0.279 2.245 0. 27.703
Problem 161 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 113 113 111 85 115 142 126 0 105
normalized size 1 1. 0.98 0.75 1.02 1.26 1.12 0. 0.93
time (sec) N/A 0.146 0.051 0.009 0.852 0.266 2.218 0. 28.85
Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 112 112 107 84 113 163 134 0 104
normalized size 1 1. 0.96 0.75 1.01 1.46 1.2 0. 0.93
time (sec) N/A 0.136 0.046 0.009 0.846 0.267 2.19 0. 21.621
Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 112 112 106 84 113 139 110 0 104
normalized size 1 1. 0.95 0.75 1.01 1.24 0.98 0. 0.93
time (sec) N/A 0.133 0.046 0.009 0.844 0.267 2.193 0. 22.816
Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 112 112 108 84 113 126 119 0 104
normalized size 1 1. 0.96 0.75 1.01 1.12 1.06 0. 0.93
time (sec) N/A 0.129 0.045 0.008 0.876 0.274 4.497 0. 20.752
Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 112 112 107 84 113 178 124 0 104
normalized size 1 1. 0.96 0.75 1.01 1.59 1.11 0. 0.93
time (sec) N/A 0.118 0.05 0.009 0.867 0.263 4.676 0. 17.927
Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 119 119 118 89 120 181 139 0 109
normalized size 1 1. 0.99 0.75 1.01 1.52 1.17 0. 0.92
time (sec) N/A 0.166 0.086 0.011 0.871 0.259 4.462 0. 27.92
Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 119 119 113 89 120 182 128 0 110
normalized size 1 1. 0.95 0.75 1.01 1.53 1.08 0. 0.92
time (sec) N/A 0.146 0.105 0.011 0.856 0.279 4.458 0. 27.479
Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 126 126 118 94 130 171 141 0 116
normalized size 1 1. 0.94 0.75 1.03 1.36 1.12 0. 0.92
time (sec) N/A 0.211 0.1 0.014 0.867 0.264 4.618 0. 34.484
Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 126 126 118 94 130 230 136 0 117
normalized size 1 1. 0.94 0.75 1.03 1.83 1.08 0. 0.93
time (sec) N/A 0.203 0.11 0.014 0.883 0.27 4.365 0. 34.234
Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 412 412 59 44 0 884 26 861 354
normalized size 1 1. 0.14 0.11 0. 2.15 0.06 2.09 0.86
time (sec) N/A 0.934 0.023 0.009 0. 0.281 0.467 0.288 103.886
Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 39 39 39 33 43 49 37 43 34
normalized size 1 1. 1. 0.85 1.1 1.26 0.95 1.1 0.87
time (sec) N/A 0.074 0.019 0.004 0.866 0.254 0.27 0.278 9.676
Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 411 411 41 40 0 1436 26 1 335
normalized size 1 1. 0.1 0.1 0. 3.49 0.06 0. 0.82
time (sec) N/A 0.715 0.016 0.006 0. 0.272 0.474 0.276 99.801
Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 411 411 39 40 0 873 24 860 335
normalized size 1 1. 0.09 0.1 0. 2.12 0.06 2.09 0.82
time (sec) N/A 0.742 0.014 0.007 0. 0.272 0.479 0.286 98.813
Problem 174 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 23 19 24 24 27 24 24
normalized size 1 1. 1. 0.83 1.04 1.04 1.17 1.04 1.04
time (sec) N/A 0.049 0.01 0.004 0.843 0.25 0.244 0.261 6.25
Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 375 375 40 38 0 1436 26 1 335
normalized size 1 1. 0.11 0.1 0. 3.83 0.07 0. 0.89
time (sec) N/A 0.564 0.016 0.007 0. 0.269 0.464 0.326 95.351
Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A C C C F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 186 375 42 37 0 876 20 849 335
normalized size 1 2.02 0.23 0.2 0. 4.71 0.11 4.56 1.8
time (sec) N/A 0.573 0.014 0.006 0. 0.28 0.467 0.291 88.56
Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 55 35 51 58 41 47 41
normalized size 1 1. 1.34 0.85 1.24 1.41 1. 1.15 1.
time (sec) N/A 0.078 0.02 0.007 0.851 0.259 0.319 0.277 13.694
Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 416 416 61 50 0 1442 24 1 355
normalized size 1 1. 0.15 0.12 0. 3.47 0.06 0. 0.85
time (sec) N/A 0.662 0.023 0.011 0. 0.287 0.54 0.306 105.556
Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 418 418 65 50 0 927 31 867 359
normalized size 1 1. 0.16 0.12 0. 2.22 0.07 2.07 0.86
time (sec) N/A 0.755 0.021 0.012 0. 0.278 0.568 0.324 115.871
Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 48 48 51 40 58 81 48 61 48
normalized size 1 1. 1.06 0.83 1.21 1.69 1. 1.27 1.
time (sec) N/A 0.116 0.023 0.009 0.872 0.26 0.434 0.281 15.876
Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 423 423 54 51 0 1501 37 1 345
normalized size 1 1. 0.13 0.12 0. 3.55 0.09 0. 0.82
time (sec) N/A 0.827 0.025 0.012 0. 0.29 0.628 0.311 134.623
Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 381 381 38 33 0 1477 24 0 345
normalized size 1 1. 0.1 0.09 0. 3.88 0.06 0. 0.91
time (sec) N/A 0.888 0.015 0.008 0. 0.278 0.365 0. 96.776
Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 23 19 24 24 27 24 24
normalized size 1 1. 1. 0.83 1.04 1.04 1.17 1.04 1.04
time (sec) N/A 0.049 0.014 0.004 0.847 0.255 0.238 0.283 5.272
Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 399 399 37 36 0 1454 24 0 345
normalized size 1 1. 0.09 0.09 0. 3.64 0.06 0. 0.86
time (sec) N/A 0.743 0.015 0.007 0. 0.277 0.36 0. 108.427
Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 231 231 203 0 0 1 0 0 221
normalized size 1 1. 0.88 0. 0. 0. 0. 0. 0.96
time (sec) N/A 0.661 0.203 0.053 0. 0.294 0. 0. 51.703
Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 171 171 159 0 0 1 0 0 163
normalized size 1 1. 0.93 0. 0. 0.01 0. 0. 0.95
time (sec) N/A 0.341 0.12 0.031 0. 0.289 0. 0. 32.031
Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 153 153 134 0 0 1 0 0 141
normalized size 1 1. 0.88 0. 0. 0.01 0. 0. 0.92
time (sec) N/A 0.279 0.143 0.031 0. 0.283 0. 0. 29.916
Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 108 108 97 0 0 1 0 132 97
normalized size 1 1. 0.9 0. 0. 0.01 0. 1.22 0.9
time (sec) N/A 0.17 0.141 0.029 0. 0.282 0. 0.325 17.265
Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 83 83 83 0 0 1 0 103 73
normalized size 1 1. 1. 0. 0. 0.01 0. 1.24 0.88
time (sec) N/A 0.119 0.056 0.027 0. 0.27 0. 0.286 10.178
Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 109 109 109 0 0 1 0 0 95
normalized size 1 1. 1. 0. 0. 0.01 0. 0. 0.87
time (sec) N/A 0.252 0.273 0.022 0. 0.3 0. 0. 30.025
Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 112 112 112 0 0 1 0 0 99
normalized size 1 1. 1. 0. 0. 0.01 0. 0. 0.88
time (sec) N/A 0.252 0.211 0.053 0. 0.296 0. 0. 28.797
Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 88 88 93 0 0 1 0 0 76
normalized size 1 1. 1.06 0. 0. 0.01 0. 0. 0.86
time (sec) N/A 0.154 0.225 0.041 0. 0.279 0. 0. 18.823
Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 116 116 113 0 0 1 0 0 104
normalized size 1 1. 0.97 0. 0. 0.01 0. 0. 0.9
time (sec) N/A 0.21 0.377 0.047 0. 0.292 0. 0. 24.851
Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 161 161 141 0 0 1 0 0 148
normalized size 1 1. 0.88 0. 0. 0.01 0. 0. 0.92
time (sec) N/A 0.349 0.191 0.058 0. 0.288 0. 0. 37.702
Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 199 199 175 0 0 1 0 0 185
normalized size 1 1. 0.88 0. 0. 0.01 0. 0. 0.93
time (sec) N/A 0.528 0.301 0.069 0. 0.296 0. 0. 54.99
Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 140 140 1043 0 0 0 0 0 124
normalized size 1 1. 7.45 0. 0. 0. 0. 0. 0.89
time (sec) N/A 0.53 5.149 0.046 0. 0. 0. 0. 37.196
Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 140 140 701 0 0 0 0 0 124
normalized size 1 1. 5.01 0. 0. 0. 0. 0. 0.89
time (sec) N/A 0.355 3.827 0.041 0. 0. 0. 0. 28.739
Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 135 135 702 0 0 0 0 0 121
normalized size 1 1. 5.2 0. 0. 0. 0. 0. 0.9
time (sec) N/A 0.205 1.075 0.036 0. 0. 0. 0. 37.389
Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 138 138 702 0 0 0 0 0 124
normalized size 1 1. 5.09 0. 0. 0. 0. 0. 0.9
time (sec) N/A 0.422 1.082 0.046 0. 0. 0. 0. 35.066
Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 140 140 702 0 0 0 0 0 128
normalized size 1 1. 5.01 0. 0. 0. 0. 0. 0.91
time (sec) N/A 0.419 1.117 0.046 0. 0. 0. 0. 32.72
Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 293 293 289 0 0 1 0 0 284
normalized size 1 1. 0.99 0. 0. 0. 0. 0. 0.97
time (sec) N/A 0.8 0.313 0.036 0. 0.334 0. 0. 67.24
Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 223 223 222 0 0 1 0 0 214
normalized size 1 1. 1. 0. 0. 0. 0. 0. 0.96
time (sec) N/A 0.437 0.239 0.034 0. 0.311 0. 0. 41.359
Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 204 204 194 0 0 1 0 0 190
normalized size 1 1. 0.95 0. 0. 0. 0. 0. 0.93
time (sec) N/A 0.364 0.195 0.031 0. 0.311 0. 0. 39.281
Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 150 150 142 0 0 1 0 232 138
normalized size 1 1. 0.95 0. 0. 0.01 0. 1.55 0.92
time (sec) N/A 0.231 0.156 0.03 0. 0.306 0. 0.295 23.651
Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 124 124 111 0 0 1 0 182 112
normalized size 1 1. 0.9 0. 0. 0.01 0. 1.47 0.9
time (sec) N/A 0.175 0.107 0.028 0. 0.295 0. 0.29 15.166
Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 155 155 181 0 0 1 0 0 139
normalized size 1 1. 1.17 0. 0. 0.01 0. 0. 0.9
time (sec) N/A 0.428 0.474 0.022 0. 0.395 0. 0. 46.631
Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 150 150 173 0 0 1 0 0 134
normalized size 1 1. 1.15 0. 0. 0.01 0. 0. 0.89
time (sec) N/A 0.414 0.349 0.055 0. 0.349 0. 0. 44.57
Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 151 151 149 0 0 1 0 0 136
normalized size 1 1. 0.99 0. 0. 0.01 0. 0. 0.9
time (sec) N/A 0.402 0.696 0.056 0. 0.334 0. 0. 44.113
Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 163 163 174 0 0 1 0 0 146
normalized size 1 1. 1.07 0. 0. 0.01 0. 0. 0.9
time (sec) N/A 0.428 0.472 0.066 0. 0.361 0. 0. 45.878
Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 133 133 125 0 0 1 0 0 119
normalized size 1 1. 0.94 0. 0. 0.01 0. 0. 0.89
time (sec) N/A 0.235 0.234 0.057 0. 0.305 0. 0. 28.032
Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 162 162 163 0 0 1 0 0 148
normalized size 1 1. 1.01 0. 0. 0.01 0. 0. 0.91
time (sec) N/A 0.296 0.271 0.072 0. 0.304 0. 0. 34.394
Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 216 216 206 0 0 1 0 0 201
normalized size 1 1. 0.95 0. 0. 0. 0. 0. 0.93
time (sec) N/A 0.453 0.353 0.089 0. 0.338 0. 0. 48.431
Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 255 255 247 0 0 1 0 0 238
normalized size 1 1. 0.97 0. 0. 0. 0. 0. 0.93
time (sec) N/A 0.671 0.401 0.106 0. 0.372 0. 0. 70.726
Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 141 141 1746 0 0 0 0 0 126
normalized size 1 1. 12.38 0. 0. 0. 0. 0. 0.89
time (sec) N/A 0.504 5.159 0.048 0. 0. 0. 0. 39.423
Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 141 141 1391 0 0 0 0 0 126
normalized size 1 1. 9.87 0. 0. 0. 0. 0. 0.89
time (sec) N/A 0.355 3.567 0.045 0. 0. 0. 0. 27.506
Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 136 136 1389 0 0 0 0 0 122
normalized size 1 1. 10.21 0. 0. 0. 0. 0. 0.9
time (sec) N/A 0.2 3.412 0.041 0. 0. 0. 0. 35.564
Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 139 139 1058 0 0 0 0 0 126
normalized size 1 1. 7.61 0. 0. 0. 0. 0. 0.91
time (sec) N/A 0.421 1.853 0.049 0. 0. 0. 0. 36.849
Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 141 141 1054 0 0 0 0 0 129
normalized size 1 1. 7.48 0. 0. 0. 0. 0. 0.91
time (sec) N/A 0.417 1.867 0.045 0. 0. 0. 0. 36.471
Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 171 171 135 0 0 1 0 0 162
normalized size 1 1. 0.79 0. 0. 0.01 0. 0. 0.95
time (sec) N/A 0.497 0.185 0.036 0. 0.291 0. 0. 42.043
Problem 220 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 121 121 102 0 0 1 0 0 114
normalized size 1 1. 0.84 0. 0. 0.01 0. 0. 0.94
time (sec) N/A 0.253 0.1 0.034 0. 0.28 0. 0. 26.01
Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 104 104 86 0 0 1 0 0 92
normalized size 1 1. 0.83 0. 0. 0.01 0. 0. 0.88
time (sec) N/A 0.195 0.069 0.033 0. 0.277 0. 0. 24.318
Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 68 68 66 0 0 1 0 82 58
normalized size 1 1. 0.97 0. 0. 0.01 0. 1.21 0.85
time (sec) N/A 0.114 0.038 0.032 0. 0.291 0. 0.291 12.975
Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 41 0 0 1 0 54 37
normalized size 1 1. 0.95 0. 0. 0.02 0. 1.26 0.86
time (sec) N/A 0.073 0.025 0.015 0. 0.266 0. 0.293 7.523
Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 50 0 0 1 0 0 39
normalized size 1 1. 1.14 0. 0. 0.02 0. 0. 0.89
time (sec) N/A 0.089 0.122 0.015 0. 0.282 0. 0. 12.249
Problem 225 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 72 72 78 0 0 1 0 0 61
normalized size 1 1. 1.08 0. 0. 0.01 0. 0. 0.85
time (sec) N/A 0.135 0.133 0.035 0. 0.286 0. 0. 16.838
Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 108 108 97 0 0 1 0 0 95
normalized size 1 1. 0.9 0. 0. 0.01 0. 0. 0.88
time (sec) N/A 0.243 0.306 0.041 0. 0.281 0. 0. 27.351
Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 145 145 117 0 0 1 0 0 133
normalized size 1 1. 0.81 0. 0. 0.01 0. 0. 0.92
time (sec) N/A 0.394 0.489 0.043 0. 0.292 0. 0. 44.584
Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 192 192 146 0 0 1 0 0 180
normalized size 1 1. 0.76 0. 0. 0.01 0. 0. 0.94
time (sec) N/A 0.563 0.241 0.047 0. 0.299 0. 0. 63.064
Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 140 140 380 0 0 0 0 0 122
normalized size 1 1. 2.71 0. 0. 0. 0. 0. 0.87
time (sec) N/A 0.476 0.276 0.018 0. 0. 0. 0. 39.959
Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 140 140 380 0 0 0 0 0 122
normalized size 1 1. 2.71 0. 0. 0. 0. 0. 0.87
time (sec) N/A 0.356 0.278 0.016 0. 0. 0. 0. 27.572
Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 135 135 378 0 0 0 0 0 119
normalized size 1 1. 2.8 0. 0. 0. 0. 0. 0.88
time (sec) N/A 0.203 0.266 0.016 0. 0. 0. 0. 40.235
Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 138 138 705 0 0 0 0 0 122
normalized size 1 1. 5.11 0. 0. 0. 0. 0. 0.88
time (sec) N/A 0.432 1.163 0.044 0. 0. 0. 0. 32.749
Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 140 140 705 0 0 0 0 0 126
normalized size 1 1. 5.04 0. 0. 0. 0. 0. 0.9
time (sec) N/A 0.431 1.159 0.046 0. 0. 0. 0. 32.776
Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 195 195 147 0 0 1 0 0 182
normalized size 1 1. 0.75 0. 0. 0.01 0. 0. 0.93
time (sec) N/A 0.546 0.269 0.06 0. 0.352 0. 0. 47.499
Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 137 127 0 0 1 0 0 126
normalized size 1 1. 0.93 0. 0. 0.01 0. 0. 0.92
time (sec) N/A 0.257 0.199 0.053 0. 0.303 0. 0. 29.109
Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 120 120 95 0 0 1 0 0 107
normalized size 1 1. 0.79 0. 0. 0.01 0. 0. 0.89
time (sec) N/A 0.197 0.18 0.023 0. 0.292 0. 0. 27.602
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 39 39 41 38 0 92 0 61 34
normalized size 1 1. 1.05 0.97 0. 2.36 0. 1.56 0.87
time (sec) N/A 0.072 0.037 0.009 0. 0.277 0. 0.274 10.32
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 38 38 38 37 0 90 0 61 36
normalized size 1 1. 1. 0.97 0. 2.37 0. 1.61 0.95
time (sec) N/A 0.059 0.027 0.009 0. 0.277 0. 0.301 7.025
Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 92 92 96 0 0 1 0 0 83
normalized size 1 1. 1.04 0. 0. 0.01 0. 0. 0.9
time (sec) N/A 0.172 0.347 0.028 0. 0.294 0. 0. 22.423
Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 142 142 132 0 0 1 0 0 131
normalized size 1 1. 0.93 0. 0. 0.01 0. 0. 0.92
time (sec) N/A 0.306 0.22 0.062 0. 0.302 0. 0. 37.534
Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 198 198 159 0 0 1 0 0 184
normalized size 1 1. 0.8 0. 0. 0.01 0. 0. 0.93
time (sec) N/A 0.496 0.35 0.074 0. 0.332 0. 0. 57.032
Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 256 256 191 0 0 1 0 0 241
normalized size 1 1. 0.75 0. 0. 0. 0. 0. 0.94
time (sec) N/A 0.683 0.522 0.091 0. 0.388 0. 0. 94.452
Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 143 143 711 0 0 0 0 0 124
normalized size 1 1. 4.97 0. 0. 0. 0. 0. 0.87
time (sec) N/A 0.499 1.71 0.023 0. 0. 0. 0. 44.792
Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 143 143 1054 0 0 0 0 0 124
normalized size 1 1. 7.37 0. 0. 0. 0. 0. 0.87
time (sec) N/A 0.352 1.468 0.022 0. 0. 0. 0. 28.239
Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 138 138 1056 0 0 0 0 0 121
normalized size 1 1. 7.65 0. 0. 0. 0. 0. 0.88
time (sec) N/A 0.209 1.81 0.021 0. 0. 0. 0. 36.777
Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 141 141 1599 0 0 0 0 0 124
normalized size 1 1. 11.34 0. 0. 0. 0. 0. 0.88
time (sec) N/A 0.426 3.265 0.056 0. 0. 0. 0. 44.201
Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 143 143 1593 0 0 0 0 0 128
normalized size 1 1. 11.14 0. 0. 0. 0. 0. 0.9
time (sec) N/A 0.423 3.527 0.055 0. 0. 0. 0. 44.863
Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 101 101 70 301 0 325 1510 687 90
normalized size 1 1. 0.69 2.98 0. 3.22 14.95 6.8 0.89
time (sec) N/A 0.128 0.084 0.009 0. 0.302 18.522 0.292 26.39
Problem 249 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 52 52 35 78 0 96 314 185 42
normalized size 1 1. 0.67 1.5 0. 1.85 6.04 3.56 0.81
time (sec) N/A 0.047 0.032 0.005 0. 0.27 4.401 0.266 11.127
Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 173 173 84 0 0 0 0 0 148
normalized size 1 1. 0.49 0. 0. 0. 0. 0. 0.86
time (sec) N/A 0.483 0.094 0.044 0. 0. 0. 0. 31.779
Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 315 315 376 0 0 0 0 0 264
normalized size 1 1. 1.19 0. 0. 0. 0. 0. 0.84
time (sec) N/A 1.511 1.652 0.035 0. 0. 0. 0. 114.466
Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 158 158 1083 0 0 0 0 0 139
normalized size 1 1. 6.85 0. 0. 0. 0. 0. 0.88
time (sec) N/A 0.464 10.557 0.014 0. 0. 0. 0. 41.412
Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 157 157 424 0 0 0 0 0 138
normalized size 1 1. 2.7 0. 0. 0. 0. 0. 0.88
time (sec) N/A 0.449 0.289 0.015 0. 0. 0. 0. 35.343
Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 157 157 426 0 0 0 0 0 136
normalized size 1 1. 2.71 0. 0. 0. 0. 0. 0.87
time (sec) N/A 0.446 2.357 0.017 0. 0. 0. 0. 36.162
Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 160 160 426 0 0 0 0 0 138
normalized size 1 1. 2.66 0. 0. 0. 0. 0. 0.86
time (sec) N/A 0.446 2.888 0.015 0. 0. 0. 0. 45.774
Problem 256 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 155 155 501 0 0 0 0 0 129
normalized size 1 1. 3.23 0. 0. 0. 0. 0. 0.83
time (sec) N/A 0.278 4.333 0.085 0. 0. 0. 0. 33.88
Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 224 224 395 0 0 0 0 0 192
normalized size 1 1. 1.76 0. 0. 0. 0. 0. 0.86
time (sec) N/A 0.478 0.613 0.035 0. 0. 0. 0. 48.286
Problem 258 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 161 161 439 0 0 0 0 0 136
normalized size 1 1. 2.73 0. 0. 0. 0. 0. 0.84
time (sec) N/A 0.253 0.903 0.047 0. 0. 0. 0. 22.111
Problem 259 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 130 130 138 0 0 0 0 0 112
normalized size 1 1. 1.06 0. 0. 0. 0. 0. 0.86
time (sec) N/A 0.152 0.176 0.033 0. 0. 0. 0. 11.906
Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 138 138 411 0 0 0 0 0 116
normalized size 1 1. 2.98 0. 0. 0. 0. 0. 0.84
time (sec) N/A 0.302 3.206 0.041 0. 0. 0. 0. 30.877
Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 138 138 456 0 0 0 0 0 116
normalized size 1 1. 3.3 0. 0. 0. 0. 0. 0.84
time (sec) N/A 0.282 3.452 0.038 0. 0. 0. 0. 33.567
Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 138 138 454 0 0 0 0 0 116
normalized size 1 1. 3.29 0. 0. 0. 0. 0. 0.84
time (sec) N/A 0.231 3.198 0.033 0. 0. 0. 0. 26.724
Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 133 133 487 0 0 0 0 0 112
normalized size 1 1. 3.66 0. 0. 0. 0. 0. 0.84
time (sec) N/A 0.151 3.671 0.021 0. 0. 0. 0. 37.502
Problem 264 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 157 157 500 0 0 0 0 0 128
normalized size 1 1. 3.18 0. 0. 0. 0. 0. 0.82
time (sec) N/A 0.329 2.94 0.022 0. 0. 0. 0. 27.779
Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 136 136 408 0 0 0 0 0 116
normalized size 1 1. 3. 0. 0. 0. 0. 0. 0.85
time (sec) N/A 0.25 3.195 0.036 0. 0. 0. 0. 30.203
Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 138 138 474 0 0 0 0 0 119
normalized size 1 1. 3.43 0. 0. 0. 0. 0. 0.86
time (sec) N/A 0.245 3.643 0.038 0. 0. 0. 0. 30.495
Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 164 164 510 0 0 0 0 0 151
normalized size 1 1. 3.11 0. 0. 0. 0. 0. 0.92
time (sec) N/A 0.323 3.317 0.041 0. 0. 0. 0. 28.935
Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 138 138 455 0 0 0 0 0 121
normalized size 1 1. 3.3 0. 0. 0. 0. 0. 0.88
time (sec) N/A 0.262 3.426 0.049 0. 0. 0. 0. 30.623
Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 138 138 411 0 0 0 0 0 121
normalized size 1 1. 2.98 0. 0. 0. 0. 0. 0.88
time (sec) N/A 0.253 2.942 0.052 0. 0. 0. 0. 31.625
Problem 270 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 168 168 507 0 0 0 0 0 150
normalized size 1 1. 3.02 0. 0. 0. 0. 0. 0.89
time (sec) N/A 0.324 3.153 0.053 0. 0. 0. 0. 29.543
Problem 271 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 32 32 34 0 0 0 0 0 24
normalized size 1 1. 1.06 0. 0. 0. 0. 0. 0.75
time (sec) N/A 0.022 0.02 0.03 0. 0. 0. 0. 4.524
Problem 272 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 24 25 32 42 22 32 24
normalized size 1 1. 0.8 0.83 1.07 1.4 0.73 1.07 0.8
time (sec) N/A 0.036 0.022 0.009 0.841 0.25 0.296 0.285 8.048
Problem 273 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 18 19 24 31 15 24 15
normalized size 1 1. 0.82 0.86 1.09 1.41 0.68 1.09 0.68
time (sec) N/A 0.026 0.008 0.009 0.792 0.245 0.242 0.276 4.806
Problem 274 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 23 20 26 32 15 26 15
normalized size 1 1. 1. 0.87 1.13 1.39 0.65 1.13 0.65
time (sec) N/A 0.027 0.014 0.009 0.844 0.245 0.323 0.289 5.846
Problem 275 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 11 10 12 12 8 12 8
normalized size 1 1. 1. 0.91 1.09 1.09 0.73 1.09 0.73
time (sec) N/A 0.007 0.003 0.004 0.766 0.249 0.228 0.262 2.854
Problem 276 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 20 26 31 15 26 15
normalized size 1 1. 0.87 0.87 1.13 1.35 0.65 1.13 0.65
time (sec) N/A 0.019 0.008 0.005 0.856 0.246 0.282 0.261 3.635
Problem 277 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 21 32 43 19 39 22
normalized size 1 1. 1. 0.88 1.33 1.79 0.79 1.62 0.92
time (sec) N/A 0.028 0.013 0.019 0.764 0.254 0.302 0.303 5.37
Problem 278 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 34 42 26 34 26
normalized size 1 1. 1. 0.83 1.13 1.4 0.87 1.13 0.87
time (sec) N/A 0.033 0.018 0.015 0.851 0.251 0.394 0.299 7.587
Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 33 28 45 59 29 45 29
normalized size 1 1. 1. 0.85 1.36 1.79 0.88 1.36 0.88
time (sec) N/A 0.036 0.019 0.021 0.76 0.252 0.428 0.297 5.746
Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 33 28 41 49 29 42 32
normalized size 1 1. 0.89 0.76 1.11 1.32 0.78 1.14 0.86
time (sec) N/A 0.042 0.016 0.017 0.861 0.246 0.515 0.271 9.521
Problem 281 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 104 104 94 69 112 181 90 112 95
normalized size 1 1. 0.9 0.66 1.08 1.74 0.87 1.08 0.91
time (sec) N/A 0.111 0.14 0.012 0.849 0.266 0.514 0.301 18.151
Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 99 99 93 70 113 177 90 113 90
normalized size 1 1. 0.94 0.71 1.14 1.79 0.91 1.14 0.91
time (sec) N/A 0.106 0.099 0.01 0.848 0.279 0.525 0.267 17.599
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 97 97 90 68 111 173 82 111 82
normalized size 1 1. 0.93 0.7 1.14 1.78 0.85 1.14 0.85
time (sec) N/A 0.099 0.159 0.009 0.854 0.271 0.51 0.296 16.548
Problem 284 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 99 99 92 70 113 176 83 113 83
normalized size 1 1. 0.93 0.71 1.14 1.78 0.84 1.14 0.84
time (sec) N/A 0.105 0.103 0.006 0.845 0.261 0.533 0.278 17.399
Problem 285 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 91 68 111 174 88 111 88
normalized size 1 1. 0.94 0.7 1.14 1.79 0.91 1.14 0.91
time (sec) N/A 0.093 0.085 0.005 0.862 0.281 0.511 0.277 14.342
Problem 286 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 106 106 98 75 119 178 95 119 95
normalized size 1 1. 0.92 0.71 1.12 1.68 0.9 1.12 0.9
time (sec) N/A 0.109 0.125 0.012 0.847 0.272 0.607 0.293 18.7
Problem 287 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 106 106 96 73 122 192 97 117 99
normalized size 1 1. 0.91 0.69 1.15 1.81 0.92 1.1 0.93
time (sec) N/A 0.104 0.133 0.012 0.852 0.274 0.642 0.274 17.609
Problem 288 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 113 113 103 80 128 198 102 130 104
normalized size 1 1. 0.91 0.71 1.13 1.75 0.9 1.15 0.92
time (sec) N/A 0.115 0.133 0.015 0.874 0.276 0.738 0.263 20.403
Problem 289 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 113 113 101 78 128 198 102 127 105
normalized size 1 1. 0.89 0.69 1.13 1.75 0.9 1.12 0.93
time (sec) N/A 0.113 0.14 0.015 0.854 0.26 0.778 0.31 18.973
Problem 290 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 30 30 32 0 0 0 0 0 22
normalized size 1 1. 1.07 0. 0. 0. 0. 0. 0.73
time (sec) N/A 0.018 0.021 0.028 0. 0. 0. 0. 4.474
Problem 291 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 39 41 46 62 34 47 24
normalized size 1 1. 1.22 1.28 1.44 1.94 1.06 1.47 0.75
time (sec) N/A 0.038 0.044 0.015 0.77 0.249 0.28 0.28 8.159
Problem 292 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 22 19 24 31 15 26 15
normalized size 1 1. 0.85 0.73 0.92 1.19 0.58 1. 0.58
time (sec) N/A 0.032 0.01 0.009 0.766 0.249 0.243 0.262 4.825
Problem 293 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 33 36 39 54 26 41 15
normalized size 1 1. 1.32 1.44 1.56 2.16 1.04 1.64 0.6
time (sec) N/A 0.029 0.018 0.013 0.779 0.251 0.274 0.283 5.94
Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 13 13 11 10 12 12 8 12 7
normalized size 1 1. 0.85 0.77 0.92 0.92 0.62 0.92 0.54
time (sec) N/A 0.007 0.004 0.005 0.771 0.241 0.219 0.275 2.852
Problem 295 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 33 36 39 54 26 41 15
normalized size 1 1. 1.32 1.44 1.56 2.16 1.04 1.64 0.6
time (sec) N/A 0.021 0.013 0.013 0.779 0.253 0.277 0.263 3.72
Problem 296 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 26 47 32 43 19 41 22
normalized size 1 1. 0.93 1.68 1.14 1.54 0.68 1.46 0.79
time (sec) N/A 0.033 0.014 0.021 0.781 0.249 0.298 0.289 5.351
Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 41 50 50 73 36 51 26
normalized size 1 1. 1.28 1.56 1.56 2.28 1.12 1.59 0.81
time (sec) N/A 0.035 0.033 0.024 0.77 0.284 0.4 0.287 7.867
Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 35 54 47 68 29 49 29
normalized size 1 1. 0.95 1.46 1.27 1.84 0.78 1.32 0.78
time (sec) N/A 0.039 0.021 0.022 0.765 0.251 0.426 0.269 6.139
Problem 299 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 39 39 49 55 57 80 41 57 32
normalized size 1 1. 1.26 1.41 1.46 2.05 1.05 1.46 0.82
time (sec) N/A 0.043 0.026 0.022 0.759 0.275 0.543 0.305 9.804
Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 38 43 38 66 32 41 27
normalized size 1 1. 1.12 1.26 1.12 1.94 0.94 1.21 0.79
time (sec) N/A 0.026 0.025 0.02 0.846 0.264 0.455 0.305 6.271
Problem 301 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 35 42 39 62 32 42 22
normalized size 1 1. 1.21 1.45 1.34 2.14 1.1 1.45 0.76
time (sec) N/A 0.025 0.023 0.02 0.839 0.256 0.448 0.299 5.698
Problem 302 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 31 42 36 58 26 39 17
normalized size 1 1. 1.15 1.56 1.33 2.15 0.96 1.44 0.63
time (sec) N/A 0.02 0.021 0.018 0.86 0.283 0.436 0.282 4.343
Problem 303 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 33 42 39 61 27 42 19
normalized size 1 1. 1.14 1.45 1.34 2.1 0.93 1.45 0.66
time (sec) N/A 0.025 0.019 0.016 0.851 0.258 0.438 0.274 5.776
Problem 304 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 33 42 36 59 31 39 20
normalized size 1 1. 1.22 1.56 1.33 2.19 1.15 1.44 0.74
time (sec) N/A 0.014 0.015 0.019 0.856 0.258 0.456 0.284 2.002
Problem 305 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 36 36 40 47 47 74 37 50 27
normalized size 1 1. 1.11 1.31 1.31 2.06 1.03 1.39 0.75
time (sec) N/A 0.031 0.026 0.022 0.847 0.258 0.545 0.279 6.954
Problem 306 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 36 36 38 47 50 85 39 46 31
normalized size 1 1. 1.06 1.31 1.39 2.36 1.08 1.28 0.86
time (sec) N/A 0.026 0.031 0.021 0.861 0.269 0.584 0.288 6.304
Problem 307 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 51 52 57 92 44 58 36
normalized size 1 1. 1.19 1.21 1.33 2.14 1.02 1.35 0.84
time (sec) N/A 0.038 0.034 0.024 0.85 0.257 0.713 0.274 8.7
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 43 43 43 52 57 92 44 55 37
normalized size 1 1. 1. 1.21 1.33 2.14 1.02 1.28 0.86
time (sec) N/A 0.033 0.034 0.024 0.855 0.281 0.73 0.281 7.282
Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 163 163 82 0 0 0 0 0 141
normalized size 1 1. 0.5 0. 0. 0. 0. 0. 0.87
time (sec) N/A 0.325 0.084 0.023 0. 0. 0. 0. 32.074
Problem 310 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 81 81 78 111 0 1 316 101 73
normalized size 1 1. 0.96 1.37 0. 0.01 3.9 1.25 0.9
time (sec) N/A 0.174 0.085 0.006 0. 0.307 11.156 0.286 31.197
Problem 311 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 192 192 210 360 0 1446 134 1 196
normalized size 1 1. 1.09 1.88 0. 7.53 0.7 0.01 1.02
time (sec) N/A 0.709 0.222 0.029 0. 0.295 12.38 0.44 72.569
Problem 312 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 63 63 62 60 0 1 223 80 54
normalized size 1 1. 0.98 0.95 0. 0.02 3.54 1.27 0.86
time (sec) N/A 0.119 0.039 0.003 0. 0.277 6.109 0.277 19.568
Problem 313 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 159 159 171 216 0 765 76 1 144
normalized size 1 1. 1.08 1.36 0. 4.81 0.48 0.01 0.91
time (sec) N/A 0.274 0.149 0.021 0. 0.275 7.94 0.395 38.766
Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 38 38 42 37 0 1 131 49 36
normalized size 1 1. 1.11 0.97 0. 0.03 3.45 1.29 0.95
time (sec) N/A 0.072 0.015 0.002 0. 0.263 2.34 0.26 11.471
Problem 315 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 154 154 133 120 0 836 88 1 144
normalized size 1 1. 0.86 0.78 0. 5.43 0.57 0.01 0.94
time (sec) N/A 0.228 0.137 0.016 0. 0.28 8.742 0.41 29.942
Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 69 69 66 66 0 1 253 92 63
normalized size 1 1. 0.96 0.96 0. 0.01 3.67 1.33 0.91
time (sec) N/A 0.141 0.038 0.008 0. 0.342 18.493 0.308 27.741
Problem 317 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 184 184 75 240 0 1531 153 1 184
normalized size 1 1. 0.41 1.3 0. 8.32 0.83 0.01 1.
time (sec) N/A 0.472 0.049 0.024 0. 0.283 13.555 0.457 62.193
Problem 318 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 92 119 0 1 0 127 87
normalized size 1 1. 1.03 1.34 0. 0.01 0. 1.43 0.98
time (sec) N/A 0.265 0.048 0.011 0. 0.419 0. 0.291 44.035
Problem 319 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 381 381 70 63 0 8504 360 0 386
normalized size 1 1. 0.18 0.17 0. 22.32 0.94 0. 1.01
time (sec) N/A 1.363 0.058 0.003 0. 1.19 139.482 0. 149.894
Problem 320 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 376 376 70 59 0 5154 218 0 382
normalized size 1 1. 0.19 0.16 0. 13.71 0.58 0. 1.02
time (sec) N/A 1.288 0.053 0.002 0. 0.45 52.681 0. 142.909
Problem 321 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 325 325 44 43 0 5292 230 0 291
normalized size 1 1. 0.14 0.13 0. 16.28 0.71 0. 0.9
time (sec) N/A 0.7 0.035 0.002 0. 0.365 23.921 0. 92.289
Problem 322 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 325 325 42 43 0 2464 126 0 291
normalized size 1 1. 0.13 0.13 0. 7.58 0.39 0. 0.9
time (sec) N/A 0.596 0.03 0.002 0. 0.303 16.031 0. 89.758
Problem 323 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 315 315 43 43 0 3767 172 0 291
normalized size 1 1. 0.14 0.14 0. 11.96 0.55 0. 0.92
time (sec) N/A 0.6 0.032 0.001 0. 0.336 12.088 0. 90.859
Problem 324 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 315 315 45 40 0 4000 177 0 291
normalized size 1 1. 0.14 0.13 0. 12.7 0.56 0. 0.92
time (sec) N/A 0.626 0.035 0.002 0. 0.375 22.42 0. 83.996
Problem 325 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 363 363 71 63 0 6971 304 0 357
normalized size 1 1. 0.2 0.17 0. 19.2 0.84 0. 0.98
time (sec) N/A 0.896 0.053 0.002 0. 0.754 56.783 0. 129.01
Problem 326 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 365 365 75 62 0 6533 277 0 360
normalized size 1 1. 0.21 0.17 0. 17.9 0.76 0. 0.99
time (sec) N/A 0.841 0.058 0.002 0. 0.728 123.503 0. 123.403
Problem 327 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C F F F F F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 127 127 488 0 0 0 0 0 102
normalized size 1 1. 3.84 0. 0. 0. 0. 0. 0.8
time (sec) N/A 0.152 2.427 0.028 0. 0. 0. 0. 17.576
Problem 328 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 44 36 47 58 42 47 39
normalized size 1 1. 1. 0.82 1.07 1.32 0.95 1.07 0.89
time (sec) N/A 0.078 0.018 0.004 0.823 0.253 0.333 0.265 11.498
Problem 329 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A A A A A A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 54 54 98 43 57 55 51 57 51
normalized size 1 1. 1.81 0.8 1.06 1.02 0.94 1.06 0.94
time (sec) N/A 0.109 0.293 0.008 0.82 0.249 0.343 0.292 15.721
Problem 330 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 37 31 41 46 37 41 34
normalized size 1 1. 1. 0.84 1.11 1.24 1. 1.11 0.92
time (sec) N/A 0.062 0.017 0.004 0.822 0.25 0.313 0.27 8.278
Problem 331 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A A A A A A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 75 75 94 62 82 88 76 82 70
normalized size 1 1. 1.25 0.83 1.09 1.17 1.01 1.09 0.93
time (sec) N/A 0.142 0.21 0.005 0.818 0.262 0.598 0.316 25.247
Problem 332 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 23 19 24 24 26 24 22
normalized size 1 1. 1. 0.83 1.04 1.04 1.13 1.04 0.96
time (sec) N/A 0.044 0.01 0.002 0.826 0.25 0.287 0.283 5.264
Problem 333 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A A A A A A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 75 75 79 62 82 88 76 82 70
normalized size 1 1. 1.05 0.83 1.09 1.17 1.01 1.09 0.93
time (sec) N/A 0.114 0.093 0.005 0.821 0.259 0.605 0.291 14.964
Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 39 39 138 87 49 55 41 49 41
normalized size 1 1. 3.54 2.23 1.26 1.41 1.05 1.26 1.05
time (sec) N/A 0.066 0.158 0.013 0.823 0.25 0.37 0.289 11.555
Problem 335 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 100 57 57 59 53 57 53
normalized size 1 1. 1.85 1.06 1.06 1.09 0.98 1.06 0.98
time (sec) N/A 0.1 0.085 0.009 0.82 0.247 0.441 0.311 15.751
Problem 336 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 48 48 141 94 55 78 48 62 48
normalized size 1 1. 2.94 1.96 1.15 1.62 1. 1.29 1.
time (sec) N/A 0.1 0.253 0.012 0.822 0.254 0.522 0.309 14.362
Problem 337 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 142 95 99 126 88 99 83
normalized size 1 1. 1.6 1.07 1.11 1.42 0.99 1.11 0.93
time (sec) N/A 0.189 0.234 0.012 0.822 0.258 0.801 0.299 37.357
Problem 338 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F A A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 141 141 139 110 0 220 192 0 129
normalized size 1 1. 0.99 0.78 0. 1.56 1.36 0. 0.91
time (sec) N/A 0.183 0.447 0.03 0. 0.278 2.888 0. 33.481
Problem 339 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 88 88 68 67 0 93 82 97 83
normalized size 1 1. 0.77 0.76 0. 1.06 0.93 1.1 0.94
time (sec) N/A 0.112 0.038 0.018 0. 0.259 0.505 0.285 24.398
Problem 340 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F A A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 140 140 135 109 0 193 197 0 128
normalized size 1 1. 0.96 0.78 0. 1.38 1.41 0. 0.91
time (sec) N/A 0.205 0.305 0.017 0. 0.288 2.886 0. 48.708
Problem 341 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F A A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 140 140 135 109 0 212 214 0 128
normalized size 1 1. 0.96 0.78 0. 1.51 1.53 0. 0.91
time (sec) N/A 0.165 0.297 0.012 0. 0.271 2.89 0. 29.847
Problem 342 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 88 88 68 67 0 90 82 97 83
normalized size 1 1. 0.77 0.76 0. 1.02 0.93 1.1 0.94
time (sec) N/A 0.099 0.035 0.015 0. 0.269 0.515 0.301 21.16
Problem 343 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F A A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 145 145 140 114 0 235 218 0 131
normalized size 1 1. 0.97 0.79 0. 1.62 1.5 0. 0.9
time (sec) N/A 0.226 0.387 0.016 0. 0.281 2.961 0. 55.735
Problem 344 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F A A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 147 147 148 114 0 259 197 0 134
normalized size 1 1. 1.01 0.78 0. 1.76 1.34 0. 0.91
time (sec) N/A 0.188 0.555 0.009 0. 0.275 3.002 0. 34.914
Problem 345 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 98 98 95 75 0 128 94 113 94
normalized size 1 1. 0.97 0.77 0. 1.31 0.96 1.15 0.96
time (sec) N/A 0.166 0.064 0.011 0. 0.265 0.696 0.278 34.866
Problem 346 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F A A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 154 154 171 119 0 250 209 0 141
normalized size 1 1. 1.11 0.77 0. 1.62 1.36 0. 0.92
time (sec) N/A 0.285 0.693 0.012 0. 0.274 3.126 0. 62.757
Problem 347 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 127 127 79 0 0 0 0 0 100
normalized size 1 1. 0.62 0. 0. 0. 0. 0. 0.79
time (sec) N/A 0.115 0.077 0.027 0. 0. 0. 0. 18.287
Problem 348 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 38 50 59 42 50 39
normalized size 1 1. 1. 0.83 1.09 1.28 0.91 1.09 0.85
time (sec) N/A 0.078 0.019 0.006 0.823 0.266 0.326 0.279 12.499
Problem 349 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 57 57 55 44 0 74 48 348 48
normalized size 1 1. 0.96 0.77 0. 1.3 0.84 6.11 0.84
time (sec) N/A 0.087 0.025 0.01 0. 0.261 0.289 0.343 22.418
Problem 350 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 39 39 39 33 43 49 37 43 34
normalized size 1 1. 1. 0.85 1.1 1.26 0.95 1.1 0.87
time (sec) N/A 0.067 0.012 0.002 0.826 0.27 0.314 0.292 9.43
Problem 351 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F A A A A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 82 82 98 65 0 159 70 342 70
normalized size 1 1. 1.2 0.79 0. 1.94 0.85 4.17 0.85
time (sec) N/A 0.133 0.228 0.01 0. 0.276 0.593 0.335 29.147
Problem 352 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 23 19 24 24 26 24 22
normalized size 1 1. 1. 0.83 1.04 1.04 1.13 1.04 0.96
time (sec) N/A 0.046 0.011 0.001 0.825 0.256 0.292 0.275 5.982
Problem 353 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F A A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 82 82 83 65 0 159 70 0 70
normalized size 1 1. 1.01 0.79 0. 1.94 0.85 0. 0.85
time (sec) N/A 0.108 0.105 0.009 0. 0.265 0.618 0. 18.366
Problem 354 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 55 35 51 58 41 51 41
normalized size 1 1. 1.34 0.85 1.24 1.41 1. 1.24 1.
time (sec) N/A 0.072 0.021 0.011 0.828 0.257 0.383 0.275 13.469
Problem 355 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 57 57 55 44 0 77 49 348 49
normalized size 1 1. 0.96 0.77 0. 1.35 0.86 6.11 0.86
time (sec) N/A 0.08 0.029 0.008 0. 0.275 0.405 0.337 22.123
Problem 356 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 48 48 51 40 58 81 48 65 48
normalized size 1 1. 1.06 0.83 1.21 1.69 1. 1.35 1.
time (sec) N/A 0.107 0.022 0.01 0.826 0.252 0.54 0.276 15.745
Problem 357 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 96 96 56 75 0 198 82 358 83
normalized size 1 1. 0.58 0.78 0. 2.06 0.85 3.73 0.86
time (sec) N/A 0.185 0.027 0.009 0. 0.269 0.861 0.344 40.912
Problem 358 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 356 356 59 44 0 1284 26 343 496
normalized size 1 1. 0.17 0.12 0. 3.61 0.07 0.96 1.39
time (sec) N/A 0.693 0.021 0.012 0. 0.296 4.971 0.3 78.869
Problem 359 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 275 275 41 32 0 271 165 277 508
normalized size 1 1. 0.15 0.12 0. 0.99 0.6 1.01 1.85
time (sec) N/A 0.516 0.018 0.028 0. 0.267 0.633 0.303 73.759
Problem 360 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 347 347 39 40 0 1067 24 342 311
normalized size 1 1. 0.11 0.12 0. 3.07 0.07 0.99 0.9
time (sec) N/A 0.457 0.016 0.01 0. 0.286 4.859 0.288 64.081
Problem 361 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 355 355 40 40 0 1107 26 342 311
normalized size 1 1. 0.11 0.11 0. 3.12 0.07 0.96 0.88
time (sec) N/A 0.436 0.016 0.01 0. 0.285 4.89 0.288 43.02
Problem 362 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 275 275 42 30 0 257 165 277 529
normalized size 1 1. 0.15 0.11 0. 0.93 0.6 1.01 1.92
time (sec) N/A 0.596 0.016 0.007 0. 0.265 0.643 0.295 65.942
Problem 363 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 360 360 61 52 0 1311 29 348 484
normalized size 1 1. 0.17 0.14 0. 3.64 0.08 0.97 1.34
time (sec) N/A 0.694 0.022 0.015 0. 0.282 4.919 0.292 99.62
Problem 364 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 370 370 65 50 0 1354 31 348 549
normalized size 1 1. 0.18 0.14 0. 3.66 0.08 0.94 1.48
time (sec) N/A 0.543 0.019 0.014 0. 0.286 5.136 0.298 81.148
Problem 365 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 287 287 54 43 0 302 180 293 518
normalized size 1 1. 0.19 0.15 0. 1.05 0.63 1.02 1.8
time (sec) N/A 0.572 0.024 0.014 0. 0.271 0.866 0.286 86.354
Problem 366 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 377 377 54 51 0 1218 36 358 325
normalized size 1 1. 0.14 0.14 0. 3.23 0.1 0.95 0.86
time (sec) N/A 0.659 0.023 0.015 0. 0.292 5.168 0.306 76.811
Problem 367 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 117 117 79 0 0 0 0 0 104
normalized size 1 1. 0.68 0. 0. 0. 0. 0. 0.89
time (sec) N/A 0.153 0.073 0.026 0. 0. 0. 0. 13.605
Problem 368 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 62 62 57 38 68 96 60 68 68
normalized size 1 1. 0.92 0.61 1.1 1.55 0.97 1.1 1.1
time (sec) N/A 0.106 0.055 0.005 0.827 0.249 0.33 0.271 11.643
Problem 369 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 90 90 97 117 0 203 54 89 102
normalized size 1 1. 1.08 1.3 0. 2.26 0.6 0.99 1.13
time (sec) N/A 0.265 0.264 0.044 0. 0.266 0.618 0.282 20.182
Problem 370 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 55 55 53 33 61 81 53 61 60
normalized size 1 1. 0.96 0.6 1.11 1.47 0.96 1.11 1.09
time (sec) N/A 0.068 0.04 0.004 0.826 0.262 0.3 0.284 8.486
Problem 371 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 81 81 75 110 0 196 49 63 97
normalized size 1 1. 0.93 1.36 0. 2.42 0.6 0.78 1.2
time (sec) N/A 0.155 0.093 0.029 0. 0.271 0.609 0.268 13.717
Problem 372 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 38 19 42 59 42 42 24
normalized size 1 1. 1.65 0.83 1.83 2.57 1.83 1.83 1.04
time (sec) N/A 0.05 0.016 0.003 0.824 0.258 0.261 0.28 5.657
Problem 373 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 75 75 74 60 0 212 49 55 73
normalized size 1 1. 0.99 0.8 0. 2.83 0.65 0.73 0.97
time (sec) N/A 0.104 0.062 0.018 0. 0.281 0.593 0.284 7.372
Problem 374 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 57 57 55 35 69 90 58 69 66
normalized size 1 1. 0.96 0.61 1.21 1.58 1.02 1.21 1.16
time (sec) N/A 0.079 0.059 0.01 0.825 0.257 0.377 0.276 11.232
Problem 375 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 65 117 0 217 56 92 105
normalized size 1 1. 0.73 1.31 0. 2.44 0.63 1.03 1.18
time (sec) N/A 0.167 0.027 0.006 0. 0.288 0.724 0.28 18.056
Problem 376 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 66 66 60 42 76 117 65 85 78
normalized size 1 1. 0.91 0.64 1.15 1.77 0.98 1.29 1.18
time (sec) N/A 0.144 0.059 0.011 0.824 0.251 0.53 0.282 16.592
Problem 377 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 73 122 0 215 65 104 110
normalized size 1 1. 0.75 1.26 0. 2.22 0.67 1.07 1.13
time (sec) N/A 0.281 0.029 0.026 0. 0.283 0.87 0.279 25.167
Problem 378 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A F A
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 458 440 58 46 0 1837 29 0 605
normalized size 1 0.96 0.13 0.1 0. 4.01 0.06 0. 1.32
time (sec) N/A 0.873 0.022 0.011 0. 0.308 3.862 0. 91.068
Problem 379 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A F A
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 449 431 41 40 0 1864 26 0 542
normalized size 1 0.96 0.09 0.09 0. 4.15 0.06 0. 1.21
time (sec) N/A 0.705 0.017 0.009 0. 0.31 3.796 0. 86.547
Problem 380 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 469 451 39 40 0 1378 24 0 604
normalized size 1 0.96 0.08 0.09 0. 2.94 0.05 0. 1.29
time (sec) N/A 0.662 0.016 0.01 0. 0.31 3.821 0. 84.724
Problem 381 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 449 431 40 40 0 1640 26 0 488
normalized size 1 0.96 0.09 0.09 0. 3.65 0.06 0. 1.09
time (sec) N/A 0.518 0.015 0.009 0. 0.311 3.753 0. 86.542
Problem 382 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A F A
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 311 414 42 37 0 1805 26 0 549
normalized size 1 1.33 0.14 0.12 0. 5.8 0.08 0. 1.77
time (sec) N/A 0.593 0.014 0.009 0. 0.34 3.765 0. 80.713
Problem 383 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A F A
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 434 416 61 52 0 1902 32 0 546
normalized size 1 0.96 0.14 0.12 0. 4.38 0.07 0. 1.26
time (sec) N/A 0.74 0.023 0.014 0. 0.321 3.952 0. 95.785
Problem 384 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A F A
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 484 466 65 50 0 1897 34 0 610
normalized size 1 0.96 0.13 0.1 0. 3.92 0.07 0. 1.26
time (sec) N/A 0.808 0.024 0.014 0. 0.329 4.08 0. 93.59
Problem 385 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 117 117 575 0 0 0 0 0 105
normalized size 1 1. 4.91 0. 0. 0. 0. 0. 0.9
time (sec) N/A 0.128 1.022 0.027 0. 0. 0. 0. 14.954
Problem 386 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 62 62 56 38 68 96 58 72 68
normalized size 1 1. 0.9 0.61 1.1 1.55 0.94 1.16 1.1
time (sec) N/A 0.106 0.058 0.005 0.824 0.295 0.348 0.299 12.228
Problem 387 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 90 90 103 67 124 166 170 131 102
normalized size 1 1. 1.14 0.74 1.38 1.84 1.89 1.46 1.13
time (sec) N/A 0.246 0.088 0.008 0.82 0.271 1.754 0.315 21.808
Problem 388 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 55 55 53 33 61 84 53 65 60
normalized size 1 1. 0.96 0.6 1.11 1.53 0.96 1.18 1.09
time (sec) N/A 0.076 0.033 0.003 0.82 0.282 0.314 0.291 8.804
Problem 389 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 81 81 91 62 117 155 165 124 99
normalized size 1 1. 1.12 0.77 1.44 1.91 2.04 1.53 1.22
time (sec) N/A 0.147 0.05 0.005 0.826 0.313 1.74 0.295 15.415
Problem 390 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 38 19 42 59 42 45 24
normalized size 1 1. 1.65 0.83 1.83 2.57 1.83 1.96 1.04
time (sec) N/A 0.056 0.018 0.002 0.834 0.276 0.265 0.291 5.984
Problem 391 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 75 75 91 62 117 150 165 124 73
normalized size 1 1. 1.21 0.83 1.56 2. 2.2 1.65 0.97
time (sec) N/A 0.085 0.054 0.005 0.822 0.293 1.907 0.294 8.711
Problem 392 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 57 57 55 64 69 93 58 73 66
normalized size 1 1. 0.96 1.12 1.21 1.63 1.02 1.28 1.16
time (sec) N/A 0.07 0.048 0.015 0.821 0.275 0.37 0.293 11.605
Problem 393 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 103 67 124 177 172 131 104
normalized size 1 1. 1.16 0.75 1.39 1.99 1.93 1.47 1.17
time (sec) N/A 0.157 0.106 0.013 0.826 0.311 1.851 0.297 20.037
Problem 394 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 66 66 61 71 76 117 66 89 78
normalized size 1 1. 0.92 1.08 1.15 1.77 1. 1.35 1.18
time (sec) N/A 0.144 0.063 0.016 0.829 0.306 0.533 0.303 16.768
Problem 395 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 111 72 134 188 197 140 110
normalized size 1 1. 1.14 0.74 1.38 1.94 2.03 1.44 1.13
time (sec) N/A 0.261 0.121 0.016 0.821 0.275 2.028 0.303 26.771
Problem 396 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 170 170 160 205 0 383 58 200 238
normalized size 1 1. 0.94 1.21 0. 2.25 0.34 1.18 1.4
time (sec) N/A 0.326 0.515 0.082 0. 0.315 3.249 0.343 26.351
Problem 397 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 167 167 160 206 0 425 53 198 189
normalized size 1 1. 0.96 1.23 0. 2.54 0.32 1.19 1.13
time (sec) N/A 0.225 0.258 0.036 0. 0.303 3.208 0.35 23.368
Problem 398 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 173 173 132 206 0 374 49 198 238
normalized size 1 1. 0.76 1.19 0. 2.16 0.28 1.14 1.38
time (sec) N/A 0.231 0.361 0.046 0. 0.287 3.153 0.35 20.263
Problem 399 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 145 166 131 110 0 441 53 198 162
normalized size 1 1.14 0.9 0.76 0. 3.04 0.37 1.37 1.12
time (sec) N/A 0.141 0.069 0.037 0. 0.298 3.148 0.348 23.154
Problem 400 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 169 169 160 206 0 401 53 198 209
normalized size 1 1. 0.95 1.22 0. 2.37 0.31 1.17 1.24
time (sec) N/A 0.138 0.279 0.035 0. 0.334 3.22 0.337 15.41
Problem 401 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 172 172 174 211 0 386 63 205 192
normalized size 1 1. 1.01 1.23 0. 2.24 0.37 1.19 1.12
time (sec) N/A 0.234 0.59 0.037 0. 0.317 3.393 0.347 31.054
Problem 402 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 182 182 166 209 0 482 63 205 243
normalized size 1 1. 0.91 1.15 0. 2.65 0.35 1.13 1.34
time (sec) N/A 0.297 0.483 0.041 0. 0.29 3.444 0.344 26.524
Problem 403 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 173 173 189 216 0 478 71 215 199
normalized size 1 1. 1.09 1.25 0. 2.76 0.41 1.24 1.15
time (sec) N/A 0.372 0.519 0.051 0. 0.297 3.482 0.345 37.436
Problem 404 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 189 189 189 216 0 489 68 215 248
normalized size 1 1. 1. 1.14 0. 2.59 0.36 1.14 1.31
time (sec) N/A 0.403 0.528 0.057 0. 0.282 3.563 0.354 31.417
Problem 405 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 21 18 23 23 15 23 15
normalized size 1 1. 1. 0.86 1.1 1.1 0.71 1.1 0.71
time (sec) N/A 0.029 0.006 0.009 0.746 0.254 0.255 0.281 5.654
Problem 406 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 30 19 30 19
normalized size 1 1. 1. 0.88 1.15 1.15 0.73 1.15 0.73
time (sec) N/A 0.045 0.007 0.008 0.744 0.252 0.299 0.281 11.105
Problem 407 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 37 31 41 46 37 41 34
normalized size 1 1. 1. 0.84 1.11 1.24 1. 1.11 0.92
time (sec) N/A 0.069 0.019 0.004 0.822 0.298 0.351 0.271 8.267
Problem 408 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 23 19 24 24 27 24 24
normalized size 1 1. 1. 0.83 1.04 1.04 1.17 1.04 1.04
time (sec) N/A 0.045 0.009 0.003 0.821 0.26 0.324 0.295 5.2
Problem 409 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 39 39 197 66 49 55 41 45 41
normalized size 1 1. 5.05 1.69 1.26 1.41 1.05 1.15 1.05
time (sec) N/A 0.072 0.057 0.07 0.82 0.265 0.406 0.295 12.415
Problem 410 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 48 48 208 73 55 78 48 61 48
normalized size 1 1. 4.33 1.52 1.15 1.62 1. 1.27 1.
time (sec) N/A 0.103 0.066 0.034 0.826 0.267 0.61 0.282 15.337
Problem 411 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 39 39 197 66 0 55 41 45 41
normalized size 1 1. 5.05 1.69 0. 1.41 1.05 1.15 1.05
time (sec) N/A 0.067 0.027 0.017 0. 0.255 0.428 0.266 13.402
Problem 412 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 147 147 140 236 0 1 600 196 0
normalized size 1 1. 0.95 1.61 0. 0.01 4.08 1.33 0.
time (sec) N/A 0.276 0.215 0.009 0. 0.262 3.934 0.278 0.
Problem 413 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 118 118 112 190 0 1 496 153 0
normalized size 1 1. 0.95 1.61 0. 0.01 4.2 1.3 0.
time (sec) N/A 0.221 0.143 0.005 0. 0.28 3.489 0.297 0.
Problem 414 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 84 132 0 1 381 116 0
normalized size 1 1. 0.94 1.48 0. 0.01 4.28 1.3 0.
time (sec) N/A 0.171 0.184 0.004 0. 0.26 2.884 0.274 0.
Problem 415 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 70 70 73 101 0 1 306 90 65
normalized size 1 1. 1.04 1.44 0. 0.01 4.37 1.29 0.93
time (sec) N/A 0.105 0.103 0.004 0. 0.281 2.371 0.291 21.157
Problem 416 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 56 56 57 56 0 1 216 74 49
normalized size 1 1. 1.02 1. 0. 0.02 3.86 1.32 0.88
time (sec) N/A 0.078 0.055 0.003 0. 0.268 0.909 0.267 17.741
Problem 417 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 36 36 38 35 0 1 124 46 32
normalized size 1 1. 1.06 0.97 0. 0.03 3.44 1.28 0.89
time (sec) N/A 0.064 0.011 0.001 0. 0.269 0.548 0.287 11.2
Problem 418 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 62 62 61 62 0 1 564 84 54
normalized size 1 1. 0.98 1. 0. 0.02 9.1 1.35 0.87
time (sec) N/A 0.106 0.112 0.007 0. 0.283 6.623 0.306 24.9
Problem 419 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 81 81 77 112 0 1 862 107 75
normalized size 1 1. 0.95 1.38 0. 0.01 10.64 1.32 0.93
time (sec) N/A 0.222 0.142 0.01 0. 0.278 12.363 0.316 40.392
Problem 420 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 104 104 102 150 0 1 1525 142 97
normalized size 1 1. 0.98 1.44 0. 0.01 14.66 1.37 0.93
time (sec) N/A 0.326 0.251 0.012 0. 0.308 17.802 0.295 49.421
Problem 421 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 137 137 131 214 0 1 2105 184 129
normalized size 1 1. 0.96 1.56 0. 0.01 15.36 1.34 0.94
time (sec) N/A 0.398 0.173 0.013 0. 0.332 28.619 0.269 62.512
Problem 422 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 196 196 163 662 0 1 1012 254 0
normalized size 1 1. 0.83 3.38 0. 0.01 5.16 1.3 0.
time (sec) N/A 0.439 0.35 0.019 0. 0.27 7.779 0.292 0.
Problem 423 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 150 150 132 569 0 1 842 217 0
normalized size 1 1. 0.88 3.79 0. 0.01 5.61 1.45 0.
time (sec) N/A 0.307 0.299 0.012 0. 0.272 6.13 0.262 0.
Problem 424 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 114 114 109 330 0 1 729 169 0
normalized size 1 1. 0.96 2.89 0. 0.01 6.39 1.48 0.
time (sec) N/A 0.215 0.226 0.017 0. 0.261 4.532 0.269 0.
Problem 425 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 71 71 81 97 0 1 280 119 60
normalized size 1 1. 1.14 1.37 0. 0.01 3.94 1.68 0.85
time (sec) N/A 0.093 0.15 0.008 0. 0.274 2.832 0.284 11.796
Problem 426 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 66 66 69 70 0 1 252 103 60
normalized size 1 1. 1.05 1.06 0. 0.02 3.82 1.56 0.91
time (sec) N/A 0.076 0.105 0.004 0. 0.266 2.657 0.271 13.737
Problem 427 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 66 66 70 68 0 1 265 103 60
normalized size 1 1. 1.06 1.03 0. 0.02 4.02 1.56 0.91
time (sec) N/A 0.069 0.123 0.003 0. 0.277 2.711 0.277 11.336
Problem 428 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 108 108 107 389 0 1 2236 170 102
normalized size 1 1. 0.99 3.6 0. 0.01 20.7 1.57 0.94
time (sec) N/A 0.309 0.315 0.016 0. 0.342 25.511 0.275 45.787
Problem 429 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 148 148 131 545 0 1 2672 231 143
normalized size 1 1. 0.89 3.68 0. 0.01 18.05 1.56 0.97
time (sec) N/A 0.4 0.463 0.021 0. 0.421 38.659 0.287 74.922
Problem 430 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 202 202 175 646 0 1 4083 309 192
normalized size 1 1. 0.87 3.2 0. 0. 20.21 1.53 0.95
time (sec) N/A 0.507 0.772 0.023 0. 0.522 59.168 0.276 85.639
Problem 431 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 238 238 260 1524 0 1 1714 381 0
normalized size 1 1. 1.09 6.4 0. 0. 7.2 1.6 0.
time (sec) N/A 0.638 0.649 0.027 0. 0.27 16.245 0.268 0.
Problem 432 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 190 190 221 806 0 1 1510 331 0
normalized size 1 1. 1.16 4.24 0. 0.01 7.95 1.74 0.
time (sec) N/A 0.575 0.565 0.027 0. 0.274 10.652 0.288 0.
Problem 433 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 111 111 174 260 0 1 547 273 95
normalized size 1 1. 1.57 2.34 0. 0.01 4.93 2.46 0.86
time (sec) N/A 0.139 0.275 0.015 0. 0.27 6.665 0.295 17.395
Problem 434 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 107 107 126 223 0 1 510 220 102
normalized size 1 1. 1.18 2.08 0. 0.01 4.77 2.06 0.95
time (sec) N/A 0.113 0.348 0.013 0. 0.272 5.712 0.264 24.14
Problem 435 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 131 262 0 1 570 208 110
normalized size 1 1. 1.14 2.28 0. 0.01 4.96 1.81 0.96
time (sec) N/A 0.148 0.259 0.013 0. 0.273 5.515 0.274 29.026
Problem 436 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 103 103 102 130 0 1 479 182 97
normalized size 1 1. 0.99 1.26 0. 0.01 4.65 1.77 0.94
time (sec) N/A 0.099 0.17 0.005 0. 0.267 5.113 0.283 18.18
Problem 437 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 101 101 97 129 0 1 474 184 95
normalized size 1 1. 0.96 1.28 0. 0.01 4.69 1.82 0.94
time (sec) N/A 0.091 0.159 0.005 0. 0.262 5.194 0.314 16.696
Problem 438 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 185 185 178 1159 0 1 4862 323 180
normalized size 1 1. 0.96 6.26 0. 0.01 26.28 1.75 0.97
time (sec) N/A 0.482 0.595 0.024 0. 0.645 66.515 0.305 82.002
Problem 439 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 239 239 221 1438 0 1 5722 417 238
normalized size 1 1. 0.92 6.02 0. 0. 23.94 1.74 1.
time (sec) N/A 0.634 0.742 0.03 0. 0.86 153.597 0.299 141.342
Problem 440 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 31 41 41 34 43 0
normalized size 1 1. 1. 0.78 1.02 1.02 0.85 1.08 0.
time (sec) N/A 0.057 0.009 0.009 0.739 0.263 0.247 0.269 0.
Problem 441 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 33 26 34 34 27 36 0
normalized size 1 1. 1. 0.79 1.03 1.03 0.82 1.09 0.
time (sec) N/A 0.048 0.007 0.008 0.752 0.264 0.257 0.288 0.
Problem 442 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 21 27 27 20 30 20
normalized size 1 1. 1. 0.81 1.04 1.04 0.77 1.15 0.77
time (sec) N/A 0.035 0.006 0.008 0.743 0.259 0.24 0.26 7.456
Problem 443 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 21 18 23 23 17 26 17
normalized size 1 1. 1. 0.86 1.1 1.1 0.81 1.24 0.81
time (sec) N/A 0.031 0.005 0.008 0.743 0.286 0.218 0.297 9.102
Problem 444 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 21 18 23 23 15 26 15
normalized size 1 1. 0.91 0.78 1. 1. 0.65 1.13 0.65
time (sec) N/A 0.03 0.004 0.007 0.75 0.247 0.217 0.301 6.829
Problem 445 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 22 28 28 24 32 24
normalized size 1 1. 1. 0.81 1.04 1.04 0.89 1.19 0.89
time (sec) N/A 0.044 0.007 0.009 0.745 0.254 0.314 0.265 12.126
Problem 446 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 34 27 35 41 31 39 31
normalized size 1 1. 1. 0.79 1.03 1.21 0.91 1.15 0.91
time (sec) N/A 0.075 0.006 0.012 0.743 0.258 0.364 0.285 17.374
Problem 447 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 41 32 42 53 36 46 37
normalized size 1 1. 1. 0.78 1.02 1.29 0.88 1.12 0.9
time (sec) N/A 0.082 0.008 0.012 0.74 0.253 0.397 0.28 17.628
Problem 448 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 48 48 48 37 49 59 41 53 44
normalized size 1 1. 1. 0.77 1.02 1.23 0.85 1.1 0.92
time (sec) N/A 0.094 0.008 0.012 0.751 0.254 0.443 0.281 17.477
Problem 449 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 204 204 233 701 0 1 0 0 178
normalized size 1 1. 1.14 3.44 0. 0. 0. 0. 0.87
time (sec) N/A 0.607 1.021 0.02 0. 0.424 0. 0. 61.534
Problem 450 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A F F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 145 145 236 334 0 1 0 0 124
normalized size 1 1. 1.63 2.3 0. 0.01 0. 0. 0.86
time (sec) N/A 0.37 0.287 0.011 0. 0.345 0. 0. 37.652
Problem 451 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 105 105 138 121 0 1 0 0 85
normalized size 1 1. 1.31 1.15 0. 0.01 0. 0. 0.81
time (sec) N/A 0.216 0.154 0.01 0. 0.296 0. 0. 22.431
Problem 452 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 67 67 87 88 0 1 0 0 53
normalized size 1 1. 1.3 1.31 0. 0.01 0. 0. 0.79
time (sec) N/A 0.096 0.097 0.01 0. 0.276 0. 0. 11.689
Problem 453 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 133 133 136 197 0 1 0 0 117
normalized size 1 1. 1.02 1.48 0. 0.01 0. 0. 0.88
time (sec) N/A 0.25 0.193 0.013 0. 0.313 0. 0. 30.297
Problem 454 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 220 220 235 376 0 1 0 0 206
normalized size 1 1. 1.07 1.71 0. 0. 0. 0. 0.94
time (sec) N/A 0.473 0.527 0.016 0. 0.423 0. 0. 67.417
Problem 455 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 73 73 32 40 11 11 0 39 58
normalized size 1 1. 0.44 0.55 0.15 0.15 0. 0.53 0.79
time (sec) N/A 0.086 0.03 0.014 0.751 0.267 0. 0.294 5.41
Problem 456 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 179 179 202 343 0 1430 129 1 189
normalized size 1 1. 1.13 1.92 0. 7.99 0.72 0.01 1.06
time (sec) N/A 0.601 0.222 0.013 0. 0.274 5.948 0.83 53.151
Problem 457 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 631 631 70 59 0 6885 196 0 0
normalized size 1 1. 0.11 0.09 0. 10.91 0.31 0. 0.
time (sec) N/A 2.6 0.059 0.023 0. 0.418 9.067 0. 0.
Problem 458 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 376 376 70 59 0 5154 218 0 382
normalized size 1 1. 0.19 0.16 0. 13.71 0.58 0. 1.02
time (sec) N/A 1.364 0.062 0.037 0. 0.44 52.03 0. 137.529
Problem 459 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F F(-1) F F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 106 106 110 84 0 0 0 0 97
normalized size 1 1. 1.04 0.79 0. 0. 0. 0. 0.92
time (sec) N/A 0.235 0.124 0.034 0. 0. 0. 0. 28.403
Problem 460 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 60 52 73 72 58 66 34
normalized size 1 1. 1.5 1.3 1.82 1.8 1.45 1.65 0.85
time (sec) N/A 0.046 0.017 0.003 0.747 0.275 1.632 0.295 13.352
Problem 461 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 75 75 50 50 31 0 0 65 73
normalized size 1 1. 0.67 0.67 0.41 0. 0. 0.87 0.97
time (sec) N/A 0.085 0.038 0.033 0.761 0. 0. 0.299 9.53
Problem 462 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 137 137 115 109 0 113 0 189 126
normalized size 1 1. 0.84 0.8 0. 0.82 0. 1.38 0.92
time (sec) N/A 0.171 0.063 0.014 0. 0.274 0. 0.304 15.006
Problem 463 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 91 87 0 82 0 138 126
normalized size 1 1. 0.66 0.64 0. 0.6 0. 1.01 0.92
time (sec) N/A 0.157 0.042 0.004 0. 0.275 0. 0.284 14.949
Problem 464 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 65 65 0 43 0 86 122
normalized size 1 1. 0.47 0.47 0. 0.31 0. 0.63 0.89
time (sec) N/A 0.123 0.033 0.004 0. 0.273 0. 0.283 15.021
Problem 465 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 88 88 43 43 0 14 0 35 70
normalized size 1 1. 0.49 0.49 0. 0.16 0. 0.4 0.8
time (sec) N/A 0.091 0.016 0.004 0. 0.277 0. 0.271 9.328
Problem 466 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 147 147 65 103 62 45 0 82 131
normalized size 1 1. 0.44 0.7 0.42 0.31 0. 0.56 0.89
time (sec) N/A 0.153 0.041 0.044 0.744 0.277 0. 0.283 16.162
Problem 467 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 130 130 72 92 88 93 0 86 131
normalized size 1 1. 0.55 0.71 0.68 0.72 0. 0.66 1.01
time (sec) N/A 0.154 0.047 0.012 0.746 0.272 0. 0.285 11.943
Problem 468 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 135 135 58 54 85 90 0 0 75
normalized size 1 1. 0.43 0.4 0.63 0.67 0. 0. 0.56
time (sec) N/A 0.157 0.031 0.01 0.75 0.274 0. 0. 8.865
Problem 469 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 137 137 58 54 85 123 0 0 124
normalized size 1 1. 0.42 0.39 0.62 0.9 0. 0. 0.91
time (sec) N/A 0.16 0.041 0.01 0.745 0.275 0. 0. 10.941
Problem 470 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 137 137 58 54 85 151 0 0 128
normalized size 1 1. 0.42 0.39 0.62 1.1 0. 0. 0.93
time (sec) N/A 0.159 0.032 0.011 0.751 0.275 0. 0. 11.128
Problem 471 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 137 137 58 54 85 181 0 0 126
normalized size 1 1. 0.42 0.39 0.62 1.32 0. 0. 0.92
time (sec) N/A 0.156 0.039 0.011 0.768 0.277 0. 0. 11.374
Problem 472 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 77 77 68 0 0 0 0 0 75
normalized size 1 1. 0.88 0. 0. 0. 0. 0. 0.97
time (sec) N/A 0.084 0.096 0.121 0. 0. 0. 0. 26.542
Problem 473 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 468 468 367 0 489 782 0 1 614
normalized size 1 1. 0.78 0. 1.04 1.67 0. 0. 1.31
time (sec) N/A 0.45 0.337 0.012 0.795 0.447 0. 0.29 97.904
Problem 474 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 315 315 199 0 267 401 0 1065 410
normalized size 1 1. 0.63 0. 0.85 1.27 0. 3.38 1.3
time (sec) N/A 0.279 0.268 0.012 0.791 0.364 0. 0.285 65.384
Problem 475 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 142 142 83 0 104 149 0 328 144
normalized size 1 1. 0.58 0. 0.73 1.05 0. 2.31 1.01
time (sec) N/A 0.139 0.056 0.008 0.78 0.314 0. 0.278 24.417
Problem 476 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 59 0 0 0 0 0 85
normalized size 1 1. 0.86 0. 0. 0. 0. 0. 1.23
time (sec) N/A 0.068 0.038 0.012 0. 0. 0. 0. 17.81
Problem 477 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 75 75 66 0 0 0 0 0 87
normalized size 1 1. 0.88 0. 0. 0. 0. 0. 1.16
time (sec) N/A 0.079 0.038 0.011 0. 0. 0. 0. 18.905
Problem 478 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A C A F A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 146 162 64 0 85 111 0 0 185
normalized size 1 1.11 0.44 0. 0.58 0.76 0. 0. 1.27
time (sec) N/A 0.2 0.084 0.016 1.213 0.376 0. 0. 50.017
Problem 479 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 176 176 93 114 200 123 0 0 160
normalized size 1 1. 0.53 0.65 1.14 0.7 0. 0. 0.91
time (sec) N/A 0.198 0.073 0.021 0.78 0.266 0. 0. 17.88
Problem 480 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 268 268 121 174 161 212 0 0 250
normalized size 1 1. 0.45 0.65 0.6 0.79 0. 0. 0.93
time (sec) N/A 0.295 0.091 0.022 0.794 0.277 0. 0. 27.63
Problem 481 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 179 179 66 68 42 0 0 108 134
normalized size 1 1. 0.37 0.38 0.23 0. 0. 0.6 0.75
time (sec) N/A 0.201 0.052 0.036 0.786 0. 0. 0.292 22.706
Problem 482 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 391 391 125 115 107 116 0 234 313
normalized size 1 1. 0.32 0.29 0.27 0.3 0. 0.6 0.8
time (sec) N/A 0.398 0.087 0.031 0.755 0.274 0. 0.305 45.79
Problem 483 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 291 291 99 91 77 82 0 173 228
normalized size 1 1. 0.34 0.31 0.26 0.28 0. 0.59 0.78
time (sec) N/A 0.304 0.08 0.016 0.755 0.273 0. 0.298 32.739
Problem 484 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 189 189 77 69 41 45 0 107 163
normalized size 1 1. 0.41 0.37 0.22 0.24 0. 0.57 0.86
time (sec) N/A 0.209 0.049 0.008 0.75 0.277 0. 0.293 27.374
Problem 485 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 88 88 49 50 14 14 0 46 70
normalized size 1 1. 0.56 0.57 0.16 0.16 0. 0.52 0.8
time (sec) N/A 0.127 0.019 0.008 0.75 0.269 0. 0.275 9.808
Problem 486 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 190 190 86 78 59 58 0 104 235
normalized size 1 1. 0.45 0.41 0.31 0.31 0. 0.55 1.24
time (sec) N/A 0.261 0.039 0.009 0.753 0.272 0. 0.308 43.351
Problem 487 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 300 300 126 141 131 154 0 163 314
normalized size 1 1. 0.42 0.47 0.44 0.51 0. 0.54 1.05
time (sec) N/A 0.384 0.086 0.017 0.752 0.274 0. 0.317 53.815
Problem 488 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 410 410 152 199 188 238 0 190 396
normalized size 1 1. 0.37 0.49 0.46 0.58 0. 0.46 0.97
time (sec) N/A 0.521 0.129 0.018 0.751 0.276 0. 0.319 68.309
Problem 489 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 289 289 98 94 77 82 0 170 231
normalized size 1 1. 0.34 0.33 0.27 0.28 0. 0.59 0.8
time (sec) N/A 0.302 0.07 0.044 0.755 0.275 0. 0.307 32.521
Problem 490 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 291 291 103 91 70 74 0 169 246
normalized size 1 1. 0.35 0.31 0.24 0.25 0. 0.58 0.85
time (sec) N/A 0.289 0.074 0.025 0.76 0.276 0. 0.302 37.987
Problem 491 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 222 222 98 152 134 182 0 113 218
normalized size 1 1. 0.44 0.68 0.6 0.82 0. 0.51 0.98
time (sec) N/A 0.253 0.09 0.018 0.76 0.276 0. 0.288 20.884
Problem 492 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 391 391 124 116 107 112 0 232 313
normalized size 1 1. 0.32 0.3 0.27 0.29 0. 0.59 0.8
time (sec) N/A 0.392 0.086 0.035 0.757 0.274 0. 0.39 44.408
Problem 493 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 46 46 38 62 61 51 0 0 0
normalized size 1 1. 0.83 1.35 1.33 1.11 0. 0. 0.
time (sec) N/A 0.072 0.033 0.04 0.755 0.303 0. 0. 0.
Problem 494 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 28 28 24 33 43 32 0 0 0
normalized size 1 1. 0.86 1.18 1.54 1.14 0. 0. 0.
time (sec) N/A 0.048 0.018 0.032 0.745 0.298 0. 0. 0.
Problem 495 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 15 15 15 18 26 20 37 0 10
normalized size 1 1. 1. 1.2 1.73 1.33 2.47 0. 0.67
time (sec) N/A 0.023 0.004 0.029 0.747 0.287 58.471 0. 4.485
Problem 496 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 22 26 36 30 66 34 19
normalized size 1 1. 0.96 1.13 1.57 1.3 2.87 1.48 0.83
time (sec) N/A 0.036 0.014 0.029 0.749 0.296 95.702 0.271 7.815
Problem 497 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 57 57 46 69 76 80 0 0 51
normalized size 1 1. 0.81 1.21 1.33 1.4 0. 0. 0.89
time (sec) N/A 0.08 0.043 0.034 0.749 0.29 0. 0. 14.712
Problem 498 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 76 76 61 88 93 97 0 0 66
normalized size 1 1. 0.8 1.16 1.22 1.28 0. 0. 0.87
time (sec) N/A 0.093 0.039 0.041 0.755 0.291 0. 0. 17.295
Problem 499 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 93 93 74 105 111 115 0 0 82
normalized size 1 1. 0.8 1.13 1.19 1.24 0. 0. 0.88
time (sec) N/A 0.109 0.059 0.045 0.75 0.292 0. 0. 20.232
Problem 500 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F(-2) A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 236 236 60 54 0 335 0 0 206
normalized size 1 1. 0.25 0.23 0. 1.42 0. 0. 0.87
time (sec) N/A 0.386 0.044 0.322 0. 0.307 0. 0. 64.237
Problem 501 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F(-2) A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 160 160 60 54 0 293 0 0 138
normalized size 1 1. 0.38 0.34 0. 1.83 0. 0. 0.86
time (sec) N/A 0.245 0.044 0.091 0. 0.301 0. 0. 40.681
Problem 502 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 50 79 0 1 0 0 39
normalized size 1 1. 1. 1.58 0. 0.02 0. 0. 0.78
time (sec) N/A 0.068 0.041 0.093 0. 0.298 0. 0. 13.454
Problem 503 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 68 68 62 97 0 1 0 0 56
normalized size 1 1. 0.91 1.43 0. 0.01 0. 0. 0.82
time (sec) N/A 0.09 0.089 0.122 0. 0.301 0. 0. 17.867
Problem 504 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F(-2) A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 176 176 70 73 0 228 0 0 151
normalized size 1 1. 0.4 0.41 0. 1.3 0. 0. 0.86
time (sec) N/A 0.272 0.077 0.106 0. 0.302 0. 0. 48.843
Problem 505 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F(-2) A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 252 252 70 73 0 317 0 0 219
normalized size 1 1. 0.28 0.29 0. 1.26 0. 0. 0.87
time (sec) N/A 0.427 0.081 0.118 0. 0.312 0. 0. 73.783
Problem 506 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 38 0 58 80 0 0 27
normalized size 1 1. 1.03 0. 1.57 2.16 0. 0. 0.73
time (sec) N/A 0.067 0.049 0.109 0.813 0.291 0. 0. 9.398
Problem 507 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 38 38 43 0 0 80 0 0 31
normalized size 1 1. 1.13 0. 0. 2.11 0. 0. 0.82
time (sec) N/A 0.067 0.086 0.112 0. 0.292 0. 0. 9.562
Problem 508 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 112 112 96 208 100 100 0 0 71
normalized size 1 1. 0.86 1.86 0.89 0.89 0. 0. 0.63
time (sec) N/A 0.115 0.081 0.102 0.771 0.297 0. 0. 15.434
Problem 509 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 112 112 70 135 65 65 0 0 71
normalized size 1 1. 0.62 1.21 0.58 0.58 0. 0. 0.63
time (sec) N/A 0.109 0.051 0.038 0.765 0.29 0. 0. 15.129
Problem 510 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 99 99 44 64 30 30 0 0 80
normalized size 1 1. 0.44 0.65 0.3 0.3 0. 0. 0.81
time (sec) N/A 0.081 0.027 0.034 0.761 0.269 0. 0. 9.195
Problem 511 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 90 90 44 71 43 32 0 0 73
normalized size 1 1. 0.49 0.79 0.48 0.36 0. 0. 0.81
time (sec) N/A 0.114 0.048 0.048 0.76 0.272 0. 0. 16.774
Problem 512 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 48 48 40 37 55 55 0 0 42
normalized size 1 1. 0.83 0.77 1.15 1.15 0. 0. 0.88
time (sec) N/A 0.071 0.041 0.038 0.765 0.267 0. 0. 8.92
Problem 513 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 88 88 40 37 93 93 0 0 73
normalized size 1 1. 0.45 0.42 1.06 1.06 0. 0. 0.83
time (sec) N/A 0.124 0.042 0.044 0.758 0.273 0. 0. 15.365
Problem 514 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 88 88 40 37 131 131 0 0 73
normalized size 1 1. 0.45 0.42 1.49 1.49 0. 0. 0.83
time (sec) N/A 0.122 0.049 0.048 0.768 0.271 0. 0. 15.202
Problem 515 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 108 108 55 132 63 77 0 236 97
normalized size 1 1. 0.51 1.22 0.58 0.71 0. 2.19 0.9
time (sec) N/A 0.104 0.05 0.064 0.765 0.274 0. 0.286 11.412
Problem 516 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 93 93 46 61 34 38 0 74 80
normalized size 1 1. 0.49 0.66 0.37 0.41 0. 0.8 0.86
time (sec) N/A 0.079 0.028 0.021 0.754 0.283 0. 0.279 9.443
Problem 517 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 93 93 46 61 34 38 0 74 80
normalized size 1 1. 0.49 0.66 0.37 0.41 0. 0.8 0.86
time (sec) N/A 0.066 0.027 0.022 0.755 0.272 0. 0.279 8.611
Problem 518 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 88 88 39 56 26 27 0 34 76
normalized size 1 1. 0.44 0.64 0.3 0.31 0. 0.39 0.86
time (sec) N/A 0.047 0.02 0.02 0.75 0.279 0. 0.279 3.288
Problem 519 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 85 85 37 54 18 20 0 0 70
normalized size 1 1. 0.44 0.64 0.21 0.24 0. 0. 0.82
time (sec) N/A 0.074 0.021 0.026 0.759 0.275 0. 0. 8.768
Problem 520 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 94 94 42 61 30 31 0 0 76
normalized size 1 1. 0.45 0.65 0.32 0.33 0. 0. 0.81
time (sec) N/A 0.079 0.032 0.029 0.754 0.277 0. 0. 9.318
Problem 521 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 96 96 47 61 30 31 0 0 80
normalized size 1 1. 0.49 0.64 0.31 0.32 0. 0. 0.83
time (sec) N/A 0.078 0.035 0.028 0.759 0.273 0. 0. 9.378
Problem 522 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 238 238 90 532 373 527 0 1 248
normalized size 1 1. 0.38 2.24 1.57 2.21 0. 0. 1.04
time (sec) N/A 0.228 0.154 0.086 0.767 0.286 0. 0.38 42.771
Problem 523 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 212 212 123 146 146 194 0 410 197
normalized size 1 1. 0.58 0.69 0.69 0.92 0. 1.93 0.93
time (sec) N/A 0.16 0.107 0.025 0.755 0.271 0. 0.291 29.548
Problem 524 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 211 211 124 145 147 196 0 410 0
normalized size 1 1. 0.59 0.69 0.7 0.93 0. 1.94 0.
time (sec) N/A 0.139 0.107 0.025 0.755 0.284 0. 0.291 0.
Problem 525 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 206 206 122 138 136 176 0 371 194
normalized size 1 1. 0.59 0.67 0.66 0.85 0. 1.8 0.94
time (sec) N/A 0.12 0.098 0.024 0.756 0.276 0. 0.289 18.179
Problem 526 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 196 196 66 127 58 59 0 0 143
normalized size 1 1. 0.34 0.65 0.3 0.3 0. 0. 0.73
time (sec) N/A 0.139 0.064 0.031 0.753 0.272 0. 0. 18.013
Problem 527 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 212 212 124 147 136 177 0 0 194
normalized size 1 1. 0.58 0.69 0.64 0.83 0. 0. 0.92
time (sec) N/A 0.17 0.147 0.038 0.756 0.289 0. 0. 30.245
Problem 528 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 218 218 124 145 136 181 0 0 197
normalized size 1 1. 0.57 0.67 0.62 0.83 0. 0. 0.9
time (sec) N/A 0.169 0.143 0.039 0.752 0.273 0. 0. 29.873
Problem 529 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 76 76 62 0 0 0 0 0 66
normalized size 1 1. 0.82 0. 0. 0. 0. 0. 0.87
time (sec) N/A 0.099 0.048 0.109 0. 0. 0. 0. 16.828
Problem 530 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 64 64 53 0 0 0 0 0 56
normalized size 1 1. 0.83 0. 0. 0. 0. 0. 0.88
time (sec) N/A 0.078 0.036 0.03 0. 0. 0. 0. 15.392
Problem 531 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 64 64 53 0 0 0 0 0 56
normalized size 1 1. 0.83 0. 0. 0. 0. 0. 0.88
time (sec) N/A 0.06 0.032 0.03 0. 0. 0. 0. 13.887
Problem 532 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 55 55 44 0 0 0 0 0 53
normalized size 1 1. 0.8 0. 0. 0. 0. 0. 0.96
time (sec) N/A 0.038 0.02 0.03 0. 0. 0. 0. 4.947
Problem 533 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 85 85 42 66 36 30 0 0 90
normalized size 1 1. 0.49 0.78 0.42 0.35 0. 0. 1.06
time (sec) N/A 0.102 0.035 0.029 0.763 0.282 0. 0. 20.457
Problem 534 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 65 65 51 0 0 0 0 0 56
normalized size 1 1. 0.78 0. 0. 0. 0. 0. 0.86
time (sec) N/A 0.074 0.029 0.03 0. 0. 0. 0. 14.881
Problem 535 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 67 67 53 0 0 0 0 0 60
normalized size 1 1. 0.79 0. 0. 0. 0. 0. 0.9
time (sec) N/A 0.073 0.029 0.03 0. 0. 0. 0. 15.062
Problem 536 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 76 76 119 0 0 0 0 0 68
normalized size 1 1. 1.57 0. 0. 0. 0. 0. 0.89
time (sec) N/A 0.095 0.2 0.057 0. 0. 0. 0. 16.356
Problem 537 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 64 64 98 0 0 0 0 0 58
normalized size 1 1. 1.53 0. 0. 0. 0. 0. 0.91
time (sec) N/A 0.077 0.103 0.088 0. 0. 0. 0. 14.669
Problem 538 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 64 64 93 0 0 0 0 0 58
normalized size 1 1. 1.45 0. 0. 0. 0. 0. 0.91
time (sec) N/A 0.06 0.094 0.087 0. 0. 0. 0. 13.195
Problem 539 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 57 57 93 0 0 0 0 0 54
normalized size 1 1. 1.63 0. 0. 0. 0. 0. 0.95
time (sec) N/A 0.037 0.125 0.09 0. 0. 0. 0. 5.088
Problem 540 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 159 159 78 104 95 143 0 0 163
normalized size 1 1. 0.49 0.65 0.6 0.9 0. 0. 1.03
time (sec) N/A 0.185 0.104 0.031 0.756 0.289 0. 0. 31.241
Problem 541 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 65 65 98 0 0 0 0 0 58
normalized size 1 1. 1.51 0. 0. 0. 0. 0. 0.89
time (sec) N/A 0.074 0.127 0.091 0. 0. 0. 0. 13.967
Problem 542 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 67 67 94 0 0 0 0 0 61
normalized size 1 1. 1.4 0. 0. 0. 0. 0. 0.91
time (sec) N/A 0.074 0.11 0.084 0. 0. 0. 0. 14.204
Problem 543 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 52 52 121 0 0 107 0 0 49
normalized size 1 1. 2.33 0. 0. 2.06 0. 0. 0.94
time (sec) N/A 0.039 0.165 0.354 0. 0.294 0. 0. 2.598
Problem 544 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 43 43 32 51 0 61 0 0 41
normalized size 1 1. 0.74 1.19 0. 1.42 0. 0. 0.95
time (sec) N/A 0.029 0.095 0.053 0. 0.281 0. 0. 2.734
Problem 545 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 130 130 165 0 0 139 0 0 95
normalized size 1 1. 1.27 0. 0. 1.07 0. 0. 0.73
time (sec) N/A 0.11 0.308 0.391 0. 0.288 0. 0. 4.684
Problem 546 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C F F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 102 102 59 0 0 111 0 0 80
normalized size 1 1. 0.58 0. 0. 1.09 0. 0. 0.78
time (sec) N/A 0.087 0.073 0.145 0. 0.286 0. 0. 4.315
Problem 547 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C F F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 117 124 75 0 0 223 0 0 104
normalized size 1 1.06 0.64 0. 0. 1.91 0. 0. 0.89
time (sec) N/A 0.146 0.103 0.084 0. 0.277 0. 0. 13.515
Problem 548 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 103 103 54 148 80 105 0 0 78
normalized size 1 1. 0.52 1.44 0.78 1.02 0. 0. 0.76
time (sec) N/A 0.139 0.054 0.109 0.775 0.271 0. 0. 18.887
Problem 549 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 111 111 97 973 0 1 0 0 0
normalized size 1 1. 0.87 8.77 0. 0.01 0. 0. 0.
time (sec) N/A 0.239 0.26 0.269 0. 0.296 0. 0. 0.
Problem 550 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 87 87 82 664 0 1 0 0 76
normalized size 1 1. 0.94 7.63 0. 0.01 0. 0. 0.87
time (sec) N/A 0.152 0.152 0.148 0. 0.285 0. 0. 30.808
Problem 551 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 68 68 66 402 0 1 0 0 58
normalized size 1 1. 0.97 5.91 0. 0.01 0. 0. 0.85
time (sec) N/A 0.104 0.086 0.125 0. 0.276 0. 0. 19.815
Problem 552 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 39 39 43 113 0 1 0 53 37
normalized size 1 1. 1.1 2.9 0. 0.03 0. 1.36 0.95
time (sec) N/A 0.066 0.037 0.074 0. 0.285 0. 0.271 11.042
Problem 553 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 98 98 87 658 0 1 0 0 90
normalized size 1 1. 0.89 6.71 0. 0.01 0. 0. 0.92
time (sec) N/A 0.27 0.233 0.173 0. 0.284 0. 0. 44.347
Problem 554 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 126 126 105 958 0 1 0 0 116
normalized size 1 1. 0.83 7.6 0. 0.01 0. 0. 0.92
time (sec) N/A 0.379 0.339 0.204 0. 0.286 0. 0. 53.684
Problem 555 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 164 164 136 1300 0 1 0 0 151
normalized size 1 1. 0.83 7.93 0. 0.01 0. 0. 0.92
time (sec) N/A 0.474 0.527 0.256 0. 0.296 0. 0. 70.459
Problem 556 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 353 353 62 280 0 4443 0 0 311
normalized size 1 1. 0.18 0.79 0. 12.59 0. 0. 0.88
time (sec) N/A 1.127 0.071 0.391 0. 0.472 0. 0. 111.414
Problem 557 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 610 610 62 260 0 6064 0 0 559
normalized size 1 1. 0.1 0.43 0. 9.94 0. 0. 0.92
time (sec) N/A 2.166 0.068 0.348 0. 0.43 0. 0. 170.553
Problem 558 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 169 169 60 114 0 1081 0 0 151
normalized size 1 1. 0.36 0.67 0. 6.4 0. 0. 0.89
time (sec) N/A 0.368 0.056 0.179 0. 0.295 0. 0. 34.218
Problem 559 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 205 205 105 268 0 1659 0 0 202
normalized size 1 1. 0.51 1.31 0. 8.09 0. 0. 0.99
time (sec) N/A 0.795 0.098 0.307 0. 0.311 0. 0. 77.293
Problem 560 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A F(-1) F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 699 699 107 534 0 7922 0 0 0
normalized size 1 1. 0.15 0.76 0. 11.33 0. 0. 0.
time (sec) N/A 3.151 0.115 0.585 0. 0.56 0. 0. 0.
Problem 561 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 414 414 105 630 0 5652 0 0 403
normalized size 1 1. 0.25 1.52 0. 13.65 0. 0. 0.97
time (sec) N/A 1.563 0.109 0.841 0. 0.626 0. 0. 179.699
Problem 562 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 140 140 265 0 0 0 0 0 122
normalized size 1 1. 1.89 0. 0. 0. 0. 0. 0.87
time (sec) N/A 0.28 1.168 0.074 0. 0. 0. 0. 24.611
Problem 563 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 136 136 263 0 0 0 0 0 112
normalized size 1 1. 1.93 0. 0. 0. 0. 0. 0.82
time (sec) N/A 0.116 1.437 0.04 0. 0. 0. 0. 22.162
Problem 564 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 124 124 261 0 0 0 0 0 112
normalized size 1 1. 2.1 0. 0. 0. 0. 0. 0.9
time (sec) N/A 0.125 1.086 0.033 0. 0. 0. 0. 11.773
Problem 565 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 74 397 0 1 0 0 66
normalized size 1 1. 1. 5.36 0. 0.01 0. 0. 0.89
time (sec) N/A 0.152 0.177 0.112 0. 0.298 0. 0. 28.356
Problem 566 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 142 142 240 0 0 0 0 0 114
normalized size 1 1. 1.69 0. 0. 0. 0. 0. 0.8
time (sec) N/A 0.14 0.727 0.044 0. 0. 0. 0. 24.342
Problem 567 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 140 140 258 0 0 0 0 0 114
normalized size 1 1. 1.84 0. 0. 0. 0. 0. 0.81
time (sec) N/A 0.125 0.75 0.049 0. 0. 0. 0. 24.295
Problem 568 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 NO TBD TBD TBD TBD TBD TBD
size 148 148 820 0 0 0 0 0 128
normalized size 1 1. 5.54 0. 0. 0. 0. 0. 0.86
time (sec) N/A 0.507 7.548 0.142 0. 0. 0. 0. 34.124
Problem 569 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 NO TBD TBD TBD TBD TBD TBD
size 148 148 825 0 0 0 0 0 128
normalized size 1 1. 5.57 0. 0. 0. 0. 0. 0.86
time (sec) N/A 0.47 8.243 0.079 0. 0. 0. 0. 33.535
Problem 570 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 NO TBD TBD TBD TBD TBD TBD
size 148 148 816 0 0 0 0 0 128
normalized size 1 1. 5.51 0. 0. 0. 0. 0. 0.86
time (sec) N/A 0.351 8.443 0.078 0. 0. 0. 0. 28.421
Problem 571 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 NO TBD TBD TBD TBD TBD TBD
size 139 139 786 0 0 0 0 0 124
normalized size 1 1. 5.65 0. 0. 0. 0. 0. 0.89
time (sec) N/A 0.222 8.739 0.077 0. 0. 0. 0. 37.13
Problem 572 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 119 119 118 125 0 1 0 0 102
normalized size 1 1. 0.99 1.05 0. 0.01 0. 0. 0.86
time (sec) N/A 0.237 0.284 0.05 0. 0.326 0. 0. 31.04
Problem 573 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 NO TBD TBD TBD TBD TBD TBD
size 149 149 821 0 0 0 0 0 128
normalized size 1 1. 5.51 0. 0. 0. 0. 0. 0.86
time (sec) N/A 0.469 8.588 0.084 0. 0. 0. 0. 33.633
Problem 574 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 NO TBD TBD TBD TBD TBD TBD
size 151 151 816 0 0 0 0 0 131
normalized size 1 1. 5.4 0. 0. 0. 0. 0. 0.87
time (sec) N/A 0.452 8.921 0.084 0. 0. 0. 0. 33.812
Problem 575 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 NO TBD TBD TBD TBD TBD TBD
size 149 149 3165 0 0 0 0 0 129
normalized size 1 1. 21.24 0. 0. 0. 0. 0. 0.87
time (sec) N/A 0.469 6.333 0.074 0. 0. 0. 0. 38.329
Problem 576 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 NO TBD TBD TBD TBD TBD TBD
size 149 149 3165 0 0 0 0 0 129
normalized size 1 1. 21.24 0. 0. 0. 0. 0. 0.87
time (sec) N/A 0.475 6.416 0.072 0. 0. 0. 0. 38.642
Problem 577 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 NO TBD TBD TBD TBD TBD TBD
size 149 149 3165 0 0 0 0 0 129
normalized size 1 1. 21.24 0. 0. 0. 0. 0. 0.87
time (sec) N/A 0.352 6.384 0.074 0. 0. 0. 0. 30.011
Problem 578 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 NO TBD TBD TBD TBD TBD TBD
size 140 140 3058 0 0 0 0 0 126
normalized size 1 1. 21.84 0. 0. 0. 0. 0. 0.9
time (sec) N/A 0.225 6.327 0.071 0. 0. 0. 0. 37.09
Problem 579 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 173 173 161 209 0 1 0 0 151
normalized size 1 1. 0.93 1.21 0. 0.01 0. 0. 0.87
time (sec) N/A 0.398 0.721 0.051 0. 0.418 0. 0. 48.871
Problem 580 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 NO TBD TBD TBD TBD TBD TBD
size 150 150 3181 0 0 0 0 0 129
normalized size 1 1. 21.21 0. 0. 0. 0. 0. 0.86
time (sec) N/A 0.466 6.349 0.084 0. 0. 0. 0. 37.896
Problem 581 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 NO TBD TBD TBD TBD TBD TBD
size 152 152 3165 0 0 0 0 0 133
normalized size 1 1. 20.82 0. 0. 0. 0. 0. 0.88
time (sec) N/A 0.448 6.362 0.085 0. 0. 0. 0. 36.7
Problem 582 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 NO TBD TBD TBD TBD TBD TBD
size 148 148 415 0 0 0 0 0 126
normalized size 1 1. 2.8 0. 0. 0. 0. 0. 0.85
time (sec) N/A 0.479 0.497 0.029 0. 0. 0. 0. 33.23
Problem 583 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 NO TBD TBD TBD TBD TBD TBD
size 148 148 417 0 0 0 0 0 126
normalized size 1 1. 2.82 0. 0. 0. 0. 0. 0.85
time (sec) N/A 0.476 0.483 0.029 0. 0. 0. 0. 33.173
Problem 584 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 NO TBD TBD TBD TBD TBD TBD
size 148 148 415 0 0 0 0 0 126
normalized size 1 1. 2.8 0. 0. 0. 0. 0. 0.85
time (sec) N/A 0.35 0.49 0.03 0. 0. 0. 0. 28.203
Problem 585 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 NO TBD TBD TBD TBD TBD TBD
size 139 139 400 0 0 0 0 0 122
normalized size 1 1. 2.88 0. 0. 0. 0. 0. 0.88
time (sec) N/A 0.219 0.35 0.029 0. 0. 0. 0. 40.05
Problem 586 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 47 47 50 0 0 1 0 0 41
normalized size 1 1. 1.06 0. 0. 0.02 0. 0. 0.87
time (sec) N/A 0.086 0.113 0.036 0. 0.285 0. 0. 12.446
Problem 587 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 NO TBD TBD TBD TBD TBD TBD
size 149 149 415 0 0 0 0 0 126
normalized size 1 1. 2.79 0. 0. 0. 0. 0. 0.85
time (sec) N/A 0.463 0.424 0.031 0. 0. 0. 0. 33.261
Problem 588 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 NO TBD TBD TBD TBD TBD TBD
size 151 151 415 0 0 0 0 0 129
normalized size 1 1. 2.75 0. 0. 0. 0. 0. 0.85
time (sec) N/A 0.461 0.518 0.03 0. 0. 0. 0. 33.177
Problem 589 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 NO TBD TBD TBD TBD TBD TBD
size 151 151 1947 0 0 0 0 0 128
normalized size 1 1. 12.89 0. 0. 0. 0. 0. 0.85
time (sec) N/A 0.481 5.765 0.019 0. 0. 0. 0. 41.371
Problem 590 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 NO TBD TBD TBD TBD TBD TBD
size 151 151 2229 0 0 0 0 0 128
normalized size 1 1. 14.76 0. 0. 0. 0. 0. 0.85
time (sec) N/A 0.483 6.221 0.019 0. 0. 0. 0. 43.309
Problem 591 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 NO TBD TBD TBD TBD TBD TBD
size 151 151 1947 0 0 0 0 0 128
normalized size 1 1. 12.89 0. 0. 0. 0. 0. 0.85
time (sec) N/A 0.356 5.44 0.019 0. 0. 0. 0. 28.734
Problem 592 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 NO TBD TBD TBD TBD TBD TBD
size 142 142 2144 0 0 0 0 0 124
normalized size 1 1. 15.1 0. 0. 0. 0. 0. 0.87
time (sec) N/A 0.221 6.184 0.019 0. 0. 0. 0. 36.35
Problem 593 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 98 98 100 0 0 1 0 0 87
normalized size 1 1. 1.02 0. 0. 0.01 0. 0. 0.89
time (sec) N/A 0.166 0.884 0.02 0. 0.33 0. 0. 23.072
Problem 594 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 NO TBD TBD TBD TBD TBD TBD
size 152 152 2225 0 0 0 0 0 128
normalized size 1 1. 14.64 0. 0. 0. 0. 0. 0.84
time (sec) N/A 0.464 6.188 0.02 0. 0. 0. 0. 43.036
Problem 595 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 NO TBD TBD TBD TBD TBD TBD
size 154 154 2221 0 0 0 0 0 131
normalized size 1 1. 14.42 0. 0. 0. 0. 0. 0.85
time (sec) N/A 0.46 6.207 0.02 0. 0. 0. 0. 41.401
Problem 596 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 182 182 137 3798 0 3109 0 1 221
normalized size 1 1. 0.75 20.87 0. 17.08 0. 0.01 1.21
time (sec) N/A 0.301 0.391 0.154 0. 0.305 0. 0.333 49.422
Problem 597 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 117 117 86 1065 0 953 0 1 141
normalized size 1 1. 0.74 9.1 0. 8.15 0. 0.01 1.21
time (sec) N/A 0.147 0.139 0.101 0. 0.295 0. 0.283 27.872
Problem 598 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 58 58 41 205 0 192 0 765 63
normalized size 1 1. 0.71 3.53 0. 3.31 0. 13.19 1.09
time (sec) N/A 0.053 0.101 0.07 0. 0.277 0. 0.288 10.646
Problem 599 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 175 175 307 0 0 0 0 0 144
normalized size 1 1. 1.75 0. 0. 0. 0. 0. 0.82
time (sec) N/A 0.406 1.915 0.045 0. 0. 0. 0. 29.536
Problem 600 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F(-1) F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 328 328 3515 0 0 0 0 0 0
normalized size 1 1. 10.72 0. 0. 0. 0. 0. 0.
time (sec) N/A 1.882 6.452 0.058 0. 0. 0. 0. 0.
Problem 601 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F(-1) F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 615 637 12289 0 0 0 0 0 0
normalized size 1 1.04 19.98 0. 0. 0. 0. 0. 0.
time (sec) N/A 19.027 7.104 0.074 0. 0. 0. 0. 0.
Problem 602 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 NO TBD TBD TBD TBD TBD TBD
size 161 161 5259 0 0 0 0 0 139
normalized size 1 1. 32.66 0. 0. 0. 0. 0. 0.86
time (sec) N/A 0.485 11.538 0.29 0. 0. 0. 0. 39.935
Problem 603 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 NO TBD TBD TBD TBD TBD TBD
size 160 160 930 0 0 0 0 0 138
normalized size 1 1. 5.81 0. 0. 0. 0. 0. 0.86
time (sec) N/A 0.471 6.098 0.187 0. 0. 0. 0. 35.759
Problem 604 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 NO TBD TBD TBD TBD TBD TBD
size 160 160 440 0 0 0 0 0 136
normalized size 1 1. 2.75 0. 0. 0. 0. 0. 0.85
time (sec) N/A 0.469 0.503 0.047 0. 0. 0. 0. 36.631
Problem 605 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 NO TBD TBD TBD TBD TBD TBD
size 163 163 3743 0 0 0 0 0 138
normalized size 1 1. 22.96 0. 0. 0. 0. 0. 0.85
time (sec) N/A 0.488 6.269 0.032 0. 0. 0. 0. 45.251
Problem 606 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 158 158 534 0 0 0 0 0 129
normalized size 1 1. 3.38 0. 0. 0. 0. 0. 0.82
time (sec) N/A 0.321 5.63 0.081 0. 0. 0. 0. 35.015
Problem 607 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 150 298 192 1 178 224 0
normalized size 1 1. 3.26 6.48 4.17 0.02 3.87 4.87 0.
time (sec) N/A 0.11 0.065 0.002 0.753 0.257 0.202 0.266 0.
Problem 608 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 401 1314 544 1 559 730 0
normalized size 1 1. 4.51 14.76 6.11 0.01 6.28 8.2 0.
time (sec) N/A 0.396 0.215 0.002 0.753 0.267 0.47 0.269 0.
Problem 609 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 138 138 797 7550 1177 1 1314 1 0
normalized size 1 1. 5.78 54.71 8.53 0.01 9.52 0.01 0.
time (sec) N/A 0.755 0.635 0.003 0.754 0.279 0.946 0.27 0.
Problem 610 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 55 55 154 349 224 1 240 297 0
normalized size 1 1. 2.8 6.35 4.07 0.02 4.36 5.4 0.
time (sec) N/A 0.122 0.061 0.002 0.747 0.242 0.232 0.27 0.
Problem 611 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 104 104 405 1413 593 1 722 925 0
normalized size 1 1. 3.89 13.59 5.7 0.01 6.94 8.89 0.
time (sec) N/A 0.407 0.214 0.002 0.759 0.245 0.532 0.27 0.
Problem 612 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 159 159 801 7697 1242 1 1654 1 0
normalized size 1 1. 5.04 48.41 7.81 0.01 10.4 0.01 0.
time (sec) N/A 0.758 0.639 0.002 0.759 0.259 1.055 0.271 0.
Problem 613 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 193 193 219 158 0 1662 178 0 204
normalized size 1 1. 1.13 0.82 0. 8.61 0.92 0. 1.06
time (sec) N/A 0.874 0.257 0.095 0. 0.298 9.929 0. 85.418
Problem 614 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 81 81 77 151 0 1 280 0 68
normalized size 1 1. 0.95 1.86 0. 0.01 3.46 0. 0.84
time (sec) N/A 0.265 0.069 0.007 0. 0.273 6.713 0. 40.125
Problem 615 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 164 164 175 140 0 949 104 0 151
normalized size 1 1. 1.07 0.85 0. 5.79 0.63 0. 0.92
time (sec) N/A 0.391 0.163 0.006 0. 0.275 5.851 0. 50.958
Problem 616 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 46 129 0 1 168 0 39
normalized size 1 1. 1.07 3. 0. 0.02 3.91 0. 0.91
time (sec) N/A 0.124 0.023 0.008 0. 0.277 3.577 0. 27.095
Problem 617 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 94 94 128 184 0 1 320 0 82
normalized size 1 1. 1.36 1.96 0. 0.01 3.4 0. 0.87
time (sec) N/A 0.26 0.137 0.013 0. 0.278 16.228 0. 47.578
Problem 618 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 195 195 206 168 0 1808 211 1 192
normalized size 1 1. 1.06 0.86 0. 9.27 1.08 0.01 0.98
time (sec) N/A 0.616 0.638 0.012 0. 0.281 13.529 1. 73.632
Problem 619 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 121 121 154 213 0 1 464 138 110
normalized size 1 1. 1.27 1.76 0. 0.01 3.83 1.14 0.91
time (sec) N/A 0.402 0.25 0.018 0. 0.302 46.369 0.297 64.721
Problem 620 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 224 224 235 188 0 2759 347 0 228
normalized size 1 1. 1.05 0.84 0. 12.32 1.55 0. 1.02
time (sec) N/A 1.041 0.378 0.015 0. 0.296 47.041 0. 122.508
Problem 621 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 270 270 263 323 0 3313 0 0 243
normalized size 1 1. 0.97 1.2 0. 12.27 0. 0. 0.9
time (sec) N/A 1.108 0.888 0.058 0. 0.328 0. 0. 81.945
Problem 622 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 100 276 0 1 493 0 82
normalized size 1 1. 1.03 2.85 0. 0.01 5.08 0. 0.85
time (sec) N/A 0.269 0.228 0.031 0. 0.319 164.745 0. 29.006
Problem 623 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 254 254 247 319 0 3340 578 0 226
normalized size 1 1. 0.97 1.26 0. 13.15 2.28 0. 0.89
time (sec) N/A 0.87 1.749 0.028 0. 0.337 151.335 0. 68.046
Problem 624 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 96 96 98 270 0 1 495 0 83
normalized size 1 1. 1.02 2.81 0. 0.01 5.16 0. 0.86
time (sec) N/A 0.246 0.219 0.033 0. 0.296 114.037 0. 23.889
Problem 625 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 299 299 271 364 0 4358 740 0 255
normalized size 1 1. 0.91 1.22 0. 14.58 2.47 0. 0.85
time (sec) N/A 1.462 1.684 0.055 0. 0.346 95.609 0. 90.529
Problem 626 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 162 162 235 693 0 1 0 0 146
normalized size 1 1. 1.45 4.28 0. 0.01 0. 0. 0.9
time (sec) N/A 0.578 0.733 0.046 0. 0.489 0. 0. 66.26
Problem 627 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 348 348 339 1304 0 5846 0 0 313
normalized size 1 1. 0.97 3.75 0. 16.8 0. 0. 0.9
time (sec) N/A 3.192 2.99 0.041 0. 0.417 0. 0. 172.702
Problem 628 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 213 213 284 1014 0 1 0 302 192
normalized size 1 1. 1.33 4.76 0. 0. 0. 1.42 0.9
time (sec) N/A 0.725 0.873 0.054 0. 0.637 0. 0.288 100.686
Problem 629 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F(-1) F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 408 408 384 1518 0 7741 0 0 0
normalized size 1 1. 0.94 3.72 0. 18.97 0. 0. 0.
time (sec) N/A 6.612 5.511 0.048 0. 0.609 0. 0. 0.
Problem 630 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 341 341 347 704 0 8955 0 0 314
normalized size 1 1. 1.02 2.06 0. 26.26 0. 0. 0.92
time (sec) N/A 1.891 6.248 0.094 0. 0.511 0. 0. 124.697
Problem 631 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 150 150 146 544 0 1 0 0 134
normalized size 1 1. 0.97 3.63 0. 0.01 0. 0. 0.89
time (sec) N/A 0.373 0.348 0.064 0. 0.44 0. 0. 36.178
Problem 632 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 363 363 405 885 0 10396 0 0 332
normalized size 1 1. 1.12 2.44 0. 28.64 0. 0. 0.91
time (sec) N/A 2.013 6.272 0.094 0. 0.585 0. 0. 117.204
Problem 633 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 150 150 147 541 0 1 0 0 134
normalized size 1 1. 0.98 3.61 0. 0.01 0. 0. 0.89
time (sec) N/A 0.357 0.306 0.068 0. 0.431 0. 0. 32.401
Problem 634 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 437 437 463 1010 0 11548 0 1 0
normalized size 1 1. 1.06 2.31 0. 26.43 0. 0. 0.
time (sec) N/A 9.918 6.271 0.097 0. 0.756 0. 0.314 0.
Problem 635 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 255 255 421 4477 0 1 0 1 238
normalized size 1 1. 1.65 17.56 0. 0. 0. 0. 0.93
time (sec) N/A 0.939 6.235 0.103 0. 1.29 0. 0.348 106.21
Problem 636 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F(-1) F(-2) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 484 484 560 6821 0 13851 0 0 0
normalized size 1 1. 1.16 14.09 0. 28.62 0. 0. 0.
time (sec) N/A 2.607 6.355 0.093 0. 1.15 0. 0. 0.
Problem 637 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 325 325 491 5575 0 1 0 509 313
normalized size 1 1. 1.51 17.15 0. 0. 0. 1.57 0.96
time (sec) N/A 1.166 6.278 0.111 0. 2.393 0. 0.295 172.743
Problem 638 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 202 202 222 164 0 1817 219 0 214
normalized size 1 1. 1.1 0.81 0. 9. 1.08 0. 1.06
time (sec) N/A 0.938 0.253 0.004 0. 0.313 12.782 0. 77.226
Problem 639 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 87 87 80 154 0 1 332 0 75
normalized size 1 1. 0.92 1.77 0. 0.01 3.82 0. 0.86
time (sec) N/A 0.281 0.074 0.003 0. 0.283 8.324 0. 32.944
Problem 640 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 170 170 178 143 0 1079 124 0 158
normalized size 1 1. 1.05 0.84 0. 6.35 0.73 0. 0.93
time (sec) N/A 0.447 0.167 0.003 0. 0.325 6.985 0. 42.694
Problem 641 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 47 130 0 1 189 0 41
normalized size 1 1. 1.07 2.95 0. 0.02 4.3 0. 0.93
time (sec) N/A 0.135 0.027 0.002 0. 0.32 5.239 0. 18.757
Problem 642 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 131 190 0 1 348 0 87
normalized size 1 1. 1.27 1.84 0. 0.01 3.38 0. 0.84
time (sec) N/A 0.283 0.126 0.007 0. 0.295 20.461 0. 39.074
Problem 643 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 204 204 209 174 0 1994 258 1 202
normalized size 1 1. 1.02 0.85 0. 9.77 1.26 0. 0.99
time (sec) N/A 0.694 0.644 0.007 0. 0.289 16.99 1.019 64.948
Problem 644 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 133 133 157 222 0 1 532 0 124
normalized size 1 1. 1.18 1.67 0. 0.01 4. 0. 0.93
time (sec) N/A 0.432 0.246 0.007 0. 0.399 58.493 0. 56.659
Problem 645 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 236 236 238 197 0 2986 411 0 241
normalized size 1 1. 1.01 0.83 0. 12.65 1.74 0. 1.02
time (sec) N/A 1.2 0.373 0.007 0. 0.303 56.729 0. 115.569
Problem 646 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 279 279 266 695 0 3480 0 0 253
normalized size 1 1. 0.95 2.49 0. 12.47 0. 0. 0.91
time (sec) N/A 1.214 0.884 0.008 0. 0.33 0. 0. 82.47
Problem 647 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 103 500 0 1 554 0 88
normalized size 1 1. 1. 4.85 0. 0.01 5.38 0. 0.85
time (sec) N/A 0.288 0.226 0.008 0. 0.287 167.661 0. 29.355
Problem 648 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 263 263 250 693 0 3510 646 0 236
normalized size 1 1. 0.95 2.63 0. 13.35 2.46 0. 0.9
time (sec) N/A 0.967 1.728 0.008 0. 0.309 157.283 0. 72.592
Problem 649 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 98 98 99 484 0 1 525 0 87
normalized size 1 1. 1.01 4.94 0. 0.01 5.36 0. 0.89
time (sec) N/A 0.26 0.223 0.007 0. 0.288 115.044 0. 25.372
Problem 650 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 174 174 238 714 0 1 0 0 153
normalized size 1 1. 1.37 4.1 0. 0.01 0. 0. 0.88
time (sec) N/A 0.63 0.715 0.018 0. 0.64 0. 0. 73.249
Problem 651 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F(-1) F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 360 360 342 1346 0 6102 0 0 326
normalized size 1 1. 0.95 3.74 0. 16.95 0. 0. 0.91
time (sec) N/A 3.296 2.978 0.017 0. 0.394 0. 0. 178.924
Problem 652 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 228 228 287 1047 0 1 0 0 209
normalized size 1 1. 1.26 4.59 0. 0. 0. 0. 0.92
time (sec) N/A 0.761 0.858 0.015 0. 1.599 0. 0. 104.26
Problem 653 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F(-1) F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 423 423 387 1569 0 8038 0 0 0
normalized size 1 1. 0.91 3.71 0. 19. 0. 0. 0.
time (sec) N/A 6.708 5.639 0.015 0. 0.533 0. 0. 0.
Problem 654 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 353 353 351 3432 0 9140 0 0 328
normalized size 1 1. 0.99 9.72 0. 25.89 0. 0. 0.93
time (sec) N/A 1.895 6.22 0.015 0. 0.509 0. 0. 131.81
Problem 655 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 159 159 149 2181 0 1 0 0 144
normalized size 1 1. 0.94 13.72 0. 0.01 0. 0. 0.91
time (sec) N/A 0.402 0.355 0.016 0. 0.437 0. 0. 39.026
Problem 656 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 375 375 409 4751 0 10581 0 1 345
normalized size 1 1. 1.09 12.67 0. 28.22 0. 0. 0.92
time (sec) N/A 2.087 6.246 0.015 0. 0.583 0. 0.284 123.568
Problem 657 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 153 153 148 2132 0 1 0 0 139
normalized size 1 1. 0.97 13.93 0. 0.01 0. 0. 0.91
time (sec) N/A 0.383 0.318 0.014 0. 0.444 0. 0. 34.325
Problem 658 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 270 270 436 4606 0 1 0 1 246
normalized size 1 1. 1.61 17.06 0. 0. 0. 0. 0.91
time (sec) N/A 1.004 6.204 0.034 0. 2.104 0. 0.338 113.605
Problem 659 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F(-1) F(-2) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 499 499 575 7019 0 14199 0 0 0
normalized size 1 1. 1.15 14.07 0. 28.45 0. 0. 0.
time (sec) N/A 2.732 6.325 0.033 0. 1.159 0. 0. 0.
Problem 660 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 343 343 509 5737 0 1 0 1 333
normalized size 1 1. 1.48 16.73 0. 0. 0. 0. 0.97
time (sec) N/A 1.225 6.247 0.027 0. 6.1 0. 0.335 176.663
Problem 661 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 340 340 0 0 0 0 0 0 299
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.88
time (sec) N/A 1.51 20.617 0.037 0. 0. 0. 0. 85.53
Problem 662 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F F A
verified N/A NO N/A TBD TBD TBD TBD TBD TBD
size 398 398 0 0 0 0 0 0 354
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.89
time (sec) N/A 1.61 2.211 0.123 0. 0. 0. 0. 101.353
Problem 663 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 34 105 140 1 107 38 0
normalized size 1 1. 1. 3.09 4.12 0.03 3.15 1.12 0.
time (sec) N/A 0.08 0.014 0.003 0.783 0.245 0.177 0.273 0.
Problem 664 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 56 56 188 175 235 1 187 62 0
normalized size 1 1. 3.36 3.12 4.2 0.02 3.34 1.11 0.
time (sec) N/A 0.191 0.012 0.005 0.782 0.226 0.307 0.269 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 [411] had the largest ratio of [ 0.8 ]

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 2 1. 15 0.133
2 A 1 1 1. 15 0.067
3 A 1 1 1. 15 0.067
4 A 3 3 1. 15 0.2
5 A 8 8 1. 11 0.727
6 A 3 2 1. 26 0.077
7 A 3 2 1. 26 0.077
8 A 3 2 1. 26 0.077
9 A 2 2 1. 26 0.077
10 A 3 2 1. 24 0.083
11 A 2 1 1. 22 0.045
12 A 3 2 1. 26 0.077
13 A 3 2 1. 26 0.077
14 A 3 2 1. 26 0.077
15 A 3 2 1. 26 0.077
16 A 3 2 1. 26 0.077
17 A 3 2 1. 26 0.077
18 A 3 2 1. 26 0.077
19 A 3 2 1. 26 0.077
20 A 3 2 1. 26 0.077
21 A 3 2 1. 26 0.077
22 A 3 2 1. 26 0.077
23 A 3 2 1. 26 0.077
24 A 4 3 1.4 26 0.115
25 A 3 2 1. 26 0.077
26 A 3 2 1. 26 0.077
27 A 4 3 1. 26 0.115
28 A 3 2 1. 26 0.077
29 A 3 2 1. 26 0.077
30 A 2 2 1. 26 0.077
31 A 3 2 1. 24 0.083
32 A 3 2 1. 22 0.091
33 A 4 3 1. 26 0.115
34 A 3 2 1. 26 0.077
35 A 3 2 1. 26 0.077
36 A 4 3 1. 26 0.115
37 A 3 2 1. 26 0.077
38 A 3 2 1. 26 0.077
39 A 4 3 1. 26 0.115
40 A 3 2 1. 26 0.077
41 A 3 2 1. 26 0.077
42 A 4 3 1. 26 0.115
43 A 3 2 1. 26 0.077
44 A 3 2 1. 26 0.077
45 A 2 2 1. 26 0.077
46 A 3 2 1. 26 0.077
47 A 3 2 1. 26 0.077
48 A 4 4 1. 26 0.154
49 A 3 2 1. 26 0.077
50 A 3 2 1. 26 0.077
51 A 3 2 1. 26 0.077
52 A 4 3 1. 26 0.115
53 A 3 2 1. 26 0.077
54 A 3 2 1. 26 0.077
55 A 4 3 1. 26 0.115
56 A 3 2 1. 26 0.077
57 A 3 2 1. 26 0.077
58 A 4 3 1. 26 0.115
59 A 3 2 1. 26 0.077
60 A 3 2 1. 26 0.077
61 A 2 2 1. 26 0.077
62 A 3 2 1. 24 0.083
63 A 3 2 1. 22 0.091
64 A 4 3 1. 26 0.115
65 A 3 2 1. 26 0.077
66 A 3 2 1. 26 0.077
67 A 4 3 1. 26 0.115
68 A 3 2 1. 26 0.077
69 A 3 2 1. 26 0.077
70 A 4 3 1. 26 0.115
71 A 3 2 1. 26 0.077
72 A 3 2 1. 26 0.077
73 A 4 3 1. 26 0.115
74 A 3 2 1. 26 0.077
75 A 3 2 1. 26 0.077
76 A 4 3 1. 26 0.115
77 A 3 2 1. 26 0.077
78 A 3 2 1. 26 0.077
79 A 4 3 1. 26 0.115
80 A 3 2 1. 26 0.077
81 A 3 2 1. 26 0.077
82 A 2 2 1. 26 0.077
83 A 3 2 1. 26 0.077
84 A 3 2 1. 26 0.077
85 A 4 4 1. 26 0.154
86 A 3 2 1. 26 0.077
87 A 3 2 1. 26 0.077
88 A 5 4 1. 26 0.154
89 A 8 8 1. 26 0.308
90 A 8 8 1. 26 0.308
91 A 3 3 1. 26 0.115
92 A 7 7 1. 24 0.292
93 A 7 7 1. 22 0.318
94 A 5 5 1. 26 0.192
95 A 8 8 1. 26 0.308
96 A 8 8 1. 26 0.308
97 A 4 3 1. 26 0.115
98 A 9 9 1. 26 0.346
99 A 9 9 1. 26 0.346
100 A 2 2 1. 26 0.077
101 A 9 8 1. 24 0.333
102 A 9 8 1. 22 0.364
103 A 4 3 1. 26 0.115
104 A 10 9 1. 26 0.346
105 A 10 9 1. 26 0.346
106 A 4 3 1. 26 0.115
107 A 11 9 1. 26 0.346
108 A 4 3 1. 26 0.115
109 A 11 9 1. 26 0.346
110 A 11 9 1. 26 0.346
111 A 2 2 1. 26 0.077
112 A 11 8 1. 24 0.333
113 A 11 8 1. 22 0.364
114 A 4 3 1. 26 0.115
115 A 12 9 1. 26 0.346
116 A 12 9 1. 26 0.346
117 A 4 3 1. 26 0.115
118 A 3 2 1. 28 0.071
119 A 3 2 1. 28 0.071
120 A 3 2 1. 28 0.071
121 A 2 2 1. 28 0.071
122 A 2 2 1. 28 0.071
123 A 2 2 1. 28 0.071
124 A 2 2 1. 26 0.077
125 A 4 3 1. 24 0.125
126 A 4 3 1. 24 0.125
127 A 4 3 1. 24 0.125
128 A 2 2 1. 24 0.083
129 A 2 2 1. 24 0.083
130 A 2 2 1. 24 0.083
131 A 2 2 1.03 22 0.091
132 A 3 3 1.04 20 0.15
133 A 3 3 1. 24 0.125
134 A 2 2 1. 24 0.083
135 A 2 2 1. 24 0.083
136 A 3 3 1. 24 0.125
137 A 2 2 1. 24 0.083
138 A 6 6 1. 18 0.333
139 A 5 5 1. 18 0.278
140 A 3 3 1. 18 0.167
141 A 7 7 1. 18 0.389
142 A 8 7 1. 18 0.389
143 A 14 8 1. 18 0.444
144 A 14 8 1. 18 0.444
145 A 13 7 1. 18 0.389
146 A 13 7 1. 18 0.389
147 A 13 7 1. 16 0.438
148 A 13 7 1. 14 0.5
149 A 14 8 1. 18 0.444
150 A 14 8 1. 18 0.444
151 A 6 4 1. 16 0.25
152 A 5 4 1. 16 0.25
153 A 4 3 1. 16 0.188
154 B 4 3 2.1 16 0.188
155 A 6 5 1. 16 0.312
156 A 4 3 1. 16 0.188
157 A 4 3 1. 16 0.188
158 A 15 10 1. 16 0.625
159 A 15 10 1. 16 0.625
160 A 14 9 1. 16 0.562
161 A 14 9 1. 16 0.562
162 A 13 8 1. 16 0.5
163 A 13 8 1. 16 0.5
164 A 13 8 1. 14 0.571
165 A 13 8 1. 12 0.667
166 A 14 9 1. 16 0.562
167 A 14 9 1. 16 0.562
168 A 15 10 1. 16 0.625
169 A 15 10 1. 16 0.625
170 A 14 8 1. 16 0.5
171 A 5 5 1. 16 0.312
172 A 13 7 1. 16 0.438
173 A 13 7 1. 16 0.438
174 A 3 3 1. 16 0.188
175 A 13 7 1. 14 0.5
176 C 13 7 2.02 12 0.583
177 A 7 7 1. 16 0.438
178 A 14 8 1. 16 0.5
179 A 14 8 1. 16 0.5
180 A 8 7 1. 16 0.438
181 A 16 10 1. 16 0.625
182 A 13 7 1. 10 0.7
183 A 3 3 1. 14 0.214
184 A 13 7 1. 14 0.5
185 A 7 7 1. 20 0.35
186 A 6 6 1. 20 0.3
187 A 6 6 1. 20 0.3
188 A 5 5 1. 20 0.25
189 A 4 4 1. 20 0.2
190 A 7 6 1. 20 0.3
191 A 7 6 1. 20 0.3
192 A 4 4 1. 20 0.2
193 A 5 5 1. 20 0.25
194 A 6 6 1. 20 0.3
195 A 7 7 1. 20 0.35
196 A 2 2 1. 20 0.1
197 A 2 2 1. 18 0.111
198 A 2 2 1. 16 0.125
199 A 2 2 1. 20 0.1
200 A 2 2 1. 20 0.1
201 A 8 7 1. 20 0.35
202 A 7 6 1. 20 0.3
203 A 7 6 1. 20 0.3
204 A 6 5 1. 20 0.25
205 A 5 4 1. 20 0.2
206 A 8 7 1. 20 0.35
207 A 8 7 1. 20 0.35
208 A 8 7 1. 20 0.35
209 A 8 7 1. 20 0.35
210 A 5 4 1. 20 0.2
211 A 6 5 1. 20 0.25
212 A 7 6 1. 20 0.3
213 A 8 7 1. 20 0.35
214 A 2 2 1. 20 0.1
215 A 2 2 1. 18 0.111
216 A 2 2 1. 16 0.125
217 A 2 2 1. 20 0.1
218 A 2 2 1. 20 0.1
219 A 6 6 1. 20 0.3
220 A 5 5 1. 20 0.25
221 A 5 5 1. 20 0.25
222 A 4 4 1. 20 0.2
223 A 3 3 1. 20 0.15
224 A 3 3 1. 20 0.15
225 A 4 4 1. 20 0.2
226 A 5 5 1. 20 0.25
227 A 6 6 1. 20 0.3
228 A 7 6 1. 20 0.3
229 A 2 2 1. 20 0.1
230 A 2 2 1. 18 0.111
231 A 2 2 1. 16 0.125
232 A 2 2 1. 20 0.1
233 A 2 2 1. 20 0.1
234 A 6 6 1. 20 0.3
235 A 5 5 1. 20 0.25
236 A 5 5 1. 20 0.25
237 A 2 2 1. 20 0.1
238 A 2 2 1. 20 0.1
239 A 5 5 1. 20 0.25
240 A 5 5 1. 20 0.25
241 A 6 6 1. 20 0.3
242 A 7 6 1. 20 0.3
243 A 2 2 1. 20 0.1
244 A 2 2 1. 18 0.111
245 A 2 2 1. 16 0.125
246 A 2 2 1. 20 0.1
247 A 2 2 1. 20 0.1
248 A 2 1 1. 20 0.05
249 A 2 1 1. 18 0.056
250 A 3 2 1. 20 0.1
251 A 4 3 1. 20 0.15
252 A 2 2 1. 22 0.091
253 A 2 2 1. 22 0.091
254 A 2 2 1. 22 0.091
255 A 2 2 1. 22 0.091
256 A 2 2 1. 20 0.1
257 A 4 4 1. 18 0.222
258 A 3 3 1. 18 0.167
259 A 2 2 1. 18 0.111
260 A 2 2 1. 18 0.111
261 A 2 2 1. 18 0.111
262 A 2 2 1. 16 0.125
263 A 2 2 1. 14 0.143
264 A 3 3 1. 18 0.167
265 A 2 2 1. 18 0.111
266 A 2 2 1. 18 0.111
267 A 3 3 1. 18 0.167
268 A 2 2 1. 18 0.111
269 A 2 2 1. 18 0.111
270 A 3 3 1. 18 0.167
271 A 2 2 1. 16 0.125
272 A 5 5 1. 16 0.312
273 A 4 3 1. 16 0.188
274 A 4 4 1. 16 0.25
275 A 2 2 1. 16 0.125
276 A 4 4 1. 14 0.286
277 A 4 3 1. 16 0.188
278 A 5 5 1. 16 0.312
279 A 4 3 1. 16 0.188
280 A 6 5 1. 16 0.312
281 A 12 9 1. 16 0.562
282 A 11 8 1. 16 0.5
283 A 11 8 1. 16 0.5
284 A 11 8 1. 16 0.5
285 A 11 8 1. 12 0.667
286 A 12 9 1. 16 0.562
287 A 12 9 1. 16 0.562
288 A 13 9 1. 16 0.562
289 A 13 9 1. 16 0.562
290 A 2 2 1. 16 0.125
291 A 5 5 1. 16 0.312
292 A 4 3 1. 16 0.188
293 A 4 4 1. 16 0.25
294 A 2 2 1. 16 0.125
295 A 4 4 1. 14 0.286
296 A 4 3 1. 16 0.188
297 A 5 5 1. 16 0.312
298 A 4 3 1. 16 0.188
299 A 6 5 1. 16 0.312
300 A 6 6 1. 16 0.375
301 A 5 5 1. 16 0.312
302 A 5 5 1. 16 0.312
303 A 5 5 1. 16 0.312
304 A 5 5 1. 12 0.417
305 A 6 6 1. 16 0.375
306 A 6 6 1. 16 0.375
307 A 7 6 1. 16 0.375
308 A 7 6 1. 16 0.375
309 A 3 2 1. 18 0.111
310 A 6 6 1. 18 0.333
311 A 5 4 1. 18 0.222
312 A 5 5 1. 18 0.278
313 A 4 3 1. 18 0.167
314 A 3 3 1. 18 0.167
315 A 4 3 1. 16 0.188
316 A 7 7 1. 18 0.389
317 A 5 4 1. 18 0.222
318 A 8 7 1. 18 0.389
319 A 8 5 1. 18 0.278
320 A 8 5 1. 18 0.278
321 A 7 4 1. 18 0.222
322 A 7 4 1. 18 0.222
323 A 7 4 1. 18 0.222
324 A 7 4 1. 14 0.286
325 A 8 5 1. 18 0.278
326 A 8 5 1. 18 0.278
327 A 3 2 1. 14 0.143
328 A 6 6 1. 14 0.429
329 A 7 5 1. 14 0.357
330 A 5 5 1. 14 0.357
331 A 10 7 1. 14 0.5
332 A 3 3 1. 14 0.214
333 A 10 6 1. 12 0.5
334 A 7 7 1. 14 0.5
335 A 7 5 1. 14 0.357
336 A 8 7 1. 14 0.5
337 A 13 10 1. 14 0.714
338 A 20 7 1. 14 0.5
339 A 9 6 1. 14 0.429
340 A 19 7 1. 14 0.5
341 A 19 6 1. 14 0.429
342 A 9 6 1. 10 0.6
343 A 20 8 1. 14 0.571
344 A 20 7 1. 14 0.5
345 A 12 9 1. 14 0.643
346 A 22 10 1. 14 0.714
347 A 3 2 1. 16 0.125
348 A 6 6 1. 16 0.375
349 A 5 4 1. 16 0.25
350 A 5 5 1. 16 0.312
351 A 10 7 1. 16 0.438
352 A 3 3 1. 16 0.188
353 A 10 6 1. 14 0.429
354 A 7 7 1. 16 0.438
355 A 5 4 1. 16 0.25
356 A 8 7 1. 16 0.438
357 A 13 10 1. 16 0.625
358 A 20 7 1. 16 0.438
359 A 19 6 1. 16 0.375
360 A 19 7 1. 16 0.438
361 A 19 6 1. 16 0.375
362 A 19 6 1. 12 0.5
363 A 22 8 1. 16 0.5
364 A 20 7 1. 16 0.438
365 A 22 9 1. 16 0.562
366 A 22 10 1. 16 0.625
367 A 3 2 1. 16 0.125
368 A 5 4 1. 16 0.25
369 A 5 4 1. 16 0.25
370 A 4 3 1. 16 0.188
371 A 4 3 1. 16 0.188
372 A 3 3 1. 16 0.188
373 A 4 3 1. 14 0.214
374 A 6 5 1. 16 0.312
375 A 5 4 1. 16 0.25
376 A 7 5 1. 16 0.312
377 A 6 5 1. 16 0.312
378 A 20 8 0.96 16 0.5
379 A 19 7 0.96 16 0.438
380 A 19 7 0.96 16 0.438
381 A 19 7 0.96 16 0.438
382 A 19 7 1.33 12 0.583
383 A 20 8 0.96 16 0.5
384 A 20 8 0.96 16 0.5
385 A 3 2 1. 16 0.125
386 A 5 4 1. 16 0.25
387 A 5 4 1. 16 0.25
388 A 4 3 1. 16 0.188
389 A 4 3 1. 16 0.188
390 A 3 3 1. 16 0.188
391 A 4 3 1. 14 0.214
392 A 6 5 1. 16 0.312
393 A 5 4 1. 16 0.25
394 A 7 5 1. 16 0.312
395 A 6 5 1. 16 0.312
396 A 8 5 1. 16 0.312
397 A 7 4 1. 16 0.25
398 A 7 4 1. 16 0.25
399 A 7 4 1.14 16 0.25
400 A 7 4 1. 12 0.333
401 A 8 5 1. 16 0.312
402 A 8 5 1. 16 0.312
403 A 9 6 1. 16 0.375
404 A 9 6 1. 16 0.375
405 A 4 3 1. 16 0.188
406 A 5 4 1. 16 0.25
407 A 5 5 1. 14 0.357
408 A 3 3 1. 14 0.214
409 A 7 7 1. 14 0.5
410 A 8 7 1. 14 0.5
411 A 8 8 1. 10 0.8
412 A 7 6 1. 18 0.333
413 A 7 6 1. 18 0.333
414 A 7 6 1. 16 0.375
415 A 6 6 1. 14 0.429
416 A 5 5 1. 18 0.278
417 A 3 3 1. 18 0.167
418 A 7 7 1. 18 0.389
419 A 8 7 1. 18 0.389
420 A 8 7 1. 18 0.389
421 A 8 7 1. 18 0.389
422 A 8 7 1. 16 0.438
423 A 8 7 1. 14 0.5
424 A 7 7 1. 18 0.389
425 A 4 4 1. 18 0.222
426 A 4 4 1. 18 0.222
427 A 4 4 1. 18 0.222
428 A 8 7 1. 18 0.389
429 A 8 7 1. 18 0.389
430 A 8 7 1. 18 0.389
431 A 9 8 1. 14 0.571
432 A 8 8 1. 18 0.444
433 A 5 4 1. 18 0.222
434 A 5 5 1. 18 0.278
435 A 5 5 1. 18 0.278
436 A 5 5 1. 18 0.278
437 A 5 4 1. 18 0.222
438 A 9 8 1. 18 0.444
439 A 9 8 1. 18 0.444
440 A 6 4 1. 18 0.222
441 A 6 4 1. 16 0.25
442 A 5 4 1. 14 0.286
443 A 4 3 1. 18 0.167
444 A 4 3 1. 18 0.167
445 A 6 5 1. 18 0.278
446 A 4 3 1. 18 0.167
447 A 4 3 1. 18 0.167
448 A 4 3 1. 18 0.167
449 A 9 7 1. 16 0.438
450 A 8 7 1. 16 0.438
451 A 7 6 1. 16 0.375
452 A 4 4 1. 16 0.25
453 A 5 5 1. 16 0.312
454 A 6 6 1. 16 0.375
455 A 4 3 1. 22 0.136
456 A 5 4 1. 14 0.286
457 A 15 9 1. 14 0.643
458 A 9 6 1. 14 0.429
459 A 7 6 1. 20 0.3
460 A 4 3 1. 23 0.13
461 A 4 4 1. 22 0.182
462 A 4 3 1. 26 0.115
463 A 4 3 1. 26 0.115
464 A 3 2 1. 26 0.077
465 A 4 3 1. 26 0.115
466 A 4 3 1. 26 0.115
467 A 4 3 1. 26 0.115
468 A 4 3 1. 26 0.115
469 A 4 3 1. 26 0.115
470 A 4 3 1. 26 0.115
471 A 4 3 1. 26 0.115
472 A 4 4 1. 30 0.133
473 A 4 3 1. 28 0.107
474 A 4 3 1. 26 0.115
475 A 4 3 1. 24 0.125
476 A 3 3 1. 28 0.107
477 A 3 3 1. 28 0.107
478 C 7 4 1.11 77 0.052
479 A 4 3 1. 26 0.115
480 A 4 3 1. 26 0.115
481 A 5 4 1. 24 0.167
482 A 5 4 1. 26 0.154
483 A 5 4 1. 26 0.154
484 A 5 4 1. 26 0.154
485 A 4 3 1. 26 0.115
486 A 5 4 1. 26 0.154
487 A 5 4 1. 26 0.154
488 A 5 4 1. 26 0.154
489 A 5 4 1. 26 0.154
490 A 5 4 1. 26 0.154
491 A 4 3 1. 26 0.115
492 A 5 4 1. 26 0.154
493 A 4 3 1. 23 0.13
494 A 4 3 1. 23 0.13
495 A 2 2 1. 23 0.087
496 A 5 5 1. 21 0.238
497 A 4 3 1. 23 0.13
498 A 4 3 1. 23 0.13
499 A 4 3 1. 23 0.13
500 A 12 9 1. 25 0.36
501 A 9 9 1. 25 0.36
502 A 5 5 1. 25 0.2
503 A 6 6 1. 25 0.24
504 A 11 11 1. 25 0.44
505 A 14 11 1. 25 0.44
506 A 1 1 1. 26 0.038
507 A 1 1 1. 28 0.036
508 A 4 3 1. 32 0.094
509 A 4 3 1. 32 0.094
510 A 3 2 1. 32 0.062
511 A 4 3 1. 32 0.094
512 A 2 2 1. 32 0.062
513 A 4 3 1. 32 0.094
514 A 4 3 1. 32 0.094
515 A 5 4 1. 30 0.133
516 A 3 2 1. 28 0.071
517 A 3 2 1. 26 0.077
518 A 2 1 1. 24 0.042
519 A 3 2 1. 28 0.071
520 A 3 2 1. 28 0.071
521 A 3 2 1. 28 0.071
522 A 9 4 1. 30 0.133
523 A 3 2 1. 28 0.071
524 A 3 2 1. 26 0.077
525 A 3 2 1. 24 0.083
526 A 4 3 1. 28 0.107
527 A 3 2 1. 28 0.071
528 A 3 2 1. 28 0.071
529 A 2 2 1. 30 0.067
530 A 2 2 1. 28 0.071
531 A 2 2 1. 26 0.077
532 A 2 2 1. 24 0.083
533 A 5 5 1. 28 0.179
534 A 2 2 1. 28 0.071
535 A 2 2 1. 28 0.071
536 A 2 2 1. 30 0.067
537 A 2 2 1. 28 0.071
538 A 2 2 1. 26 0.077
539 A 2 2 1. 24 0.083
540 A 4 3 1. 28 0.107
541 A 2 2 1. 28 0.071
542 A 2 2 1. 28 0.071
543 A 2 2 1. 36 0.056
544 A 2 2 1. 31 0.065
545 A 3 3 1. 34 0.088
546 A 3 3 1. 33 0.091
547 A 3 3 1.06 35 0.086
548 A 4 3 1. 30 0.1
549 A 7 6 1. 24 0.25
550 A 6 6 1. 24 0.25
551 A 5 5 1. 24 0.208
552 A 3 3 1. 22 0.136
553 A 8 7 1. 24 0.292
554 A 8 7 1. 24 0.292
555 A 8 7 1. 24 0.292
556 A 8 5 1. 26 0.192
557 A 14 8 1. 26 0.308
558 A 4 3 1. 26 0.115
559 A 6 5 1. 26 0.192
560 A 16 10 1. 26 0.385
561 A 10 7 1. 26 0.269
562 A 3 2 1. 20 0.1
563 A 3 2 1. 18 0.111
564 A 3 2 1. 16 0.125
565 A 7 7 1. 20 0.35
566 A 3 2 1. 20 0.1
567 A 3 2 1. 20 0.1
568 A 2 2 1. 22 0.091
569 A 2 2 1. 22 0.091
570 A 2 2 1. 20 0.1
571 A 2 2 1. 18 0.111
572 A 7 6 1. 22 0.273
573 A 2 2 1. 22 0.091
574 A 2 2 1. 22 0.091
575 A 2 2 1. 22 0.091
576 A 2 2 1. 22 0.091
577 A 2 2 1. 20 0.1
578 A 2 2 1. 18 0.111
579 A 8 7 1. 22 0.318
580 A 2 2 1. 22 0.091
581 A 2 2 1. 22 0.091
582 A 2 2 1. 22 0.091
583 A 2 2 1. 22 0.091
584 A 2 2 1. 20 0.1
585 A 2 2 1. 18 0.111
586 A 3 3 1. 22 0.136
587 A 2 2 1. 22 0.091
588 A 2 2 1. 22 0.091
589 A 2 2 1. 22 0.091
590 A 2 2 1. 22 0.091
591 A 2 2 1. 20 0.1
592 A 2 2 1. 18 0.111
593 A 5 5 1. 22 0.227
594 A 2 2 1. 22 0.091
595 A 2 2 1. 22 0.091
596 A 14 3 1. 22 0.136
597 A 10 3 1. 22 0.136
598 A 6 3 1. 20 0.15
599 A 3 2 1. 22 0.091
600 A 5 3 1. 22 0.136
601 A 6 4 1.04 22 0.182
602 A 2 2 1. 24 0.083
603 A 2 2 1. 24 0.083
604 A 2 2 1. 24 0.083
605 A 2 2 1. 24 0.083
606 A 2 2 1. 22 0.091
607 A 3 2 1. 28 0.071
608 A 4 3 1. 30 0.1
609 A 4 3 1. 30 0.1
610 A 3 2 1. 31 0.065
611 A 4 3 1. 33 0.091
612 A 4 3 1. 33 0.091
613 A 5 4 1. 30 0.133
614 A 6 6 1. 30 0.2
615 A 4 3 1. 30 0.1
616 A 4 4 1. 28 0.143
617 A 8 8 1. 30 0.267
618 A 5 4 1. 30 0.133
619 A 9 8 1. 30 0.267
620 A 6 5 1. 30 0.167
621 A 5 4 1. 30 0.133
622 A 5 5 1. 30 0.167
623 A 5 4 1. 30 0.133
624 A 5 5 1. 28 0.179
625 A 5 4 1. 22 0.182
626 A 9 8 1. 30 0.267
627 A 6 5 1. 30 0.167
628 A 9 8 1. 30 0.267
629 A 7 5 1. 30 0.167
630 A 6 5 1. 30 0.167
631 A 6 6 1. 30 0.2
632 A 6 5 1. 30 0.167
633 A 6 5 1. 28 0.179
634 A 6 5 1. 22 0.227
635 A 10 9 1. 30 0.3
636 A 7 6 1. 30 0.2
637 A 10 9 1. 30 0.3
638 A 5 4 1. 33 0.121
639 A 6 6 1. 33 0.182
640 A 4 3 1. 33 0.091
641 A 4 4 1. 31 0.129
642 A 8 8 1. 33 0.242
643 A 5 4 1. 33 0.121
644 A 9 8 1. 33 0.242
645 A 6 5 1. 33 0.152
646 A 5 4 1. 33 0.121
647 A 5 5 1. 33 0.152
648 A 5 4 1. 33 0.121
649 A 5 5 1. 31 0.161
650 A 9 8 1. 33 0.242
651 A 6 5 1. 33 0.152
652 A 9 8 1. 33 0.242
653 A 7 5 1. 33 0.152
654 A 6 5 1. 33 0.152
655 A 6 6 1. 33 0.182
656 A 6 5 1. 33 0.152
657 A 6 5 1. 31 0.161
658 A 10 9 1. 33 0.273
659 A 7 6 1. 33 0.182
660 A 10 9 1. 33 0.273
661 A 7 6 1. 26 0.231
662 A 10 9 1. 28 0.321
663 A 3 2 1. 24 0.083
664 A 4 3 1. 26 0.115

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