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2 detailed summary tables of results

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

2.1 Detailed conclusion table per each integral for all CAS systems

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

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

Problem 1 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 33 28 36 1 29 39 29
normalized size 1 1. 1. 0.85 1.09 0.03 0.88 1.18 0.88
time (sec) N/A 0.083 0.011 0.002 1.37 0.203 0.042 0.219 8.662
Problem 2 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 28 36 1 29 39 0
normalized size 1 1. 1. 0.85 1.09 0.03 0.88 1.18 0.
time (sec) N/A 0.121 0.012 0. 1.371 0.199 0.042 0.219 0.
Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 33 28 36 1 29 39 29
normalized size 1 1. 1. 0.85 1.09 0.03 0.88 1.18 0.88
time (sec) N/A 0.065 0.008 0.002 1.375 0.199 0.041 0.23 10.231
Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 33 28 36 36 29 39 0
normalized size 1 1. 1. 0.85 1.09 1.09 0.88 1.18 0.
time (sec) N/A 0.088 0.013 0.001 1.366 0.214 0.042 0.223 0.
Problem 5 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 28 28 28 25 32 32 26 35 0
normalized size 1 1. 1. 0.89 1.14 1.14 0.93 1.25 0.
time (sec) N/A 0.05 0.008 0.001 1.363 0.218 0.041 0.209 0.
Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 29 28 38 34 27 41 0
normalized size 1 1. 1. 0.97 1.31 1.17 0.93 1.41 0.
time (sec) N/A 0.07 0.015 0.005 1.376 0.224 0.527 0.208 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 26 26 26 24 32 38 20 31 0
normalized size 1 1. 1. 0.92 1.23 1.46 0.77 1.19 0.
time (sec) N/A 0.062 0.015 0.006 1.386 0.22 0.518 0.207 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 29 29 29 26 38 41 26 57 0
normalized size 1 1. 1. 0.9 1.31 1.41 0.9 1.97 0.
time (sec) N/A 0.082 0.018 0.009 1.367 0.224 0.656 0.209 0.
Problem 9 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 26 26 27 25 35 39 26 38 0
normalized size 1 1. 1.04 0.96 1.35 1.5 1. 1.46 0.
time (sec) N/A 0.062 0.024 0.007 1.377 0.219 0.705 0.206 0.
Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 31 28 41 42 27 53 31
normalized size 1 1. 1.07 0.97 1.41 1.45 0.93 1.83 1.07
time (sec) N/A 0.071 0.03 0.009 1.374 0.243 0.969 0.209 9.821
Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 33 28 39 39 32 42 27
normalized size 1 1. 1.06 0.9 1.26 1.26 1.03 1.35 0.87
time (sec) N/A 0.063 0.019 0.008 1.377 0.221 1.013 0.205 8.18
Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 55 55 55 52 69 1 56 72 49
normalized size 1 1. 1. 0.95 1.25 0.02 1.02 1.31 0.89
time (sec) N/A 0.119 0.018 0.001 1.363 0.207 0.06 0.205 14.786
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 55 55 55 52 69 69 53 72 0
normalized size 1 1. 1. 0.95 1.25 1.25 0.96 1.31 0.
time (sec) N/A 0.191 0.013 0.002 1.368 0.218 0.059 0.206 0.
Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 55 55 55 52 69 69 56 72 49
normalized size 1 1. 1. 0.95 1.25 1.25 1.02 1.31 0.89
time (sec) N/A 0.125 0.017 0.002 1.37 0.222 0.059 0.207 17.175
Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 42 42 51 52 69 69 53 72 34
normalized size 1 1. 1.21 1.24 1.64 1.64 1.26 1.71 0.81
time (sec) N/A 0.172 0.023 0.002 1.379 0.222 0.059 0.208 16.441
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 50 50 50 49 65 65 53 68 0
normalized size 1 1. 1. 0.98 1.3 1.3 1.06 1.36 0.
time (sec) N/A 0.085 0.014 0.001 1.365 0.216 0.059 0.207 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 43 43 51 51 70 66 49 72 0
normalized size 1 1. 1.19 1.19 1.63 1.53 1.14 1.67 0.
time (sec) N/A 0.101 0.028 0.003 1.372 0.225 0.583 0.208 0.
Problem 18 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 48 48 48 49 65 72 48 65 0
normalized size 1 1. 1. 1.02 1.35 1.5 1. 1.35 0.
time (sec) N/A 0.099 0.032 0.005 1.377 0.217 0.58 0.207 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 51 51 49 50 70 73 48 95 0
normalized size 1 1. 0.96 0.98 1.37 1.43 0.94 1.86 0.
time (sec) N/A 0.152 0.054 0.009 1.378 0.213 0.746 0.209 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 48 48 50 46 68 70 49 68 0
normalized size 1 1. 1.04 0.96 1.42 1.46 1.02 1.42 0.
time (sec) N/A 0.105 0.036 0.007 1.364 0.198 0.78 0.206 0.
Problem 21 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 51 51 50 51 73 74 49 97 0
normalized size 1 1. 0.98 1. 1.43 1.45 0.96 1.9 0.
time (sec) N/A 0.136 0.057 0.01 1.37 0.206 1.293 0.209 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 48 48 48 45 69 72 51 72 0
normalized size 1 1. 1. 0.94 1.44 1.5 1.06 1.5 0.
time (sec) N/A 0.098 0.039 0.008 1.373 0.197 1.458 0.205 0.
Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 51 51 53 52 74 74 53 89 51
normalized size 1 1. 1.04 1.02 1.45 1.45 1.04 1.75 1.
time (sec) N/A 0.113 0.05 0.009 1.385 0.214 2.218 0.209 16.276
Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 53 53 59 48 72 72 56 74 48
normalized size 1 1. 1.11 0.91 1.36 1.36 1.06 1.4 0.91
time (sec) N/A 0.104 0.032 0.008 1.377 0.201 2.309 0.205 13.783
Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 75 76 99 99 80 104 68
normalized size 1 1. 1. 1.01 1.32 1.32 1.07 1.39 0.91
time (sec) N/A 0.171 0.026 0.002 1.372 0.203 0.071 0.207 18.197
Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 68 68 69 76 99 99 82 104 58
normalized size 1 1. 1.01 1.12 1.46 1.46 1.21 1.53 0.85
time (sec) N/A 0.328 0.032 0. 1.378 0.203 0.07 0.206 23.266
Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 75 75 75 76 99 99 82 104 70
normalized size 1 1. 1. 1.01 1.32 1.32 1.09 1.39 0.93
time (sec) N/A 0.163 0.019 0.002 1.376 0.216 0.07 0.207 20.12
Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 42 42 69 76 99 99 80 104 34
normalized size 1 1. 1.64 1.81 2.36 2.36 1.9 2.48 0.81
time (sec) N/A 0.176 0.033 0.003 1.372 0.2 0.07 0.206 17.601
Problem 29 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 70 70 70 73 95 95 76 99 0
normalized size 1 1. 1. 1.04 1.36 1.36 1.09 1.41 0.
time (sec) N/A 0.112 0.018 0.001 1.371 0.204 0.07 0.208 0.
Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 71 76 100 96 80 105 0
normalized size 1 1. 1.18 1.27 1.67 1.6 1.33 1.75 0.
time (sec) N/A 0.12 0.036 0.004 1.377 0.206 0.64 0.209 0.
Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 65 65 65 71 93 101 68 95 0
normalized size 1 1. 1. 1.09 1.43 1.55 1.05 1.46 0.
time (sec) N/A 0.125 0.04 0.006 1.376 0.199 0.632 0.207 0.
Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 71 71 73 75 100 104 78 131 0
normalized size 1 1. 1.03 1.06 1.41 1.46 1.1 1.85 0.
time (sec) N/A 0.203 0.052 0.009 1.382 0.206 0.811 0.21 0.
Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 69 69 71 70 99 101 73 100 63
normalized size 1 1. 1.03 1.01 1.43 1.46 1.06 1.45 0.91
time (sec) N/A 0.13 0.045 0.008 1.38 0.198 0.852 0.209 19.863
Problem 34 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 72 72 73 76 103 103 73 132 0
normalized size 1 1. 1.01 1.06 1.43 1.43 1.01 1.83 0.
time (sec) N/A 0.19 0.055 0.01 1.371 0.205 1.415 0.213 0.
Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 68 68 68 64 99 101 75 101 0
normalized size 1 1. 1. 0.94 1.46 1.49 1.1 1.49 0.
time (sec) N/A 0.139 0.044 0.01 1.371 0.202 1.554 0.211 0.
Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 71 71 71 75 104 104 75 134 0
normalized size 1 1. 1. 1.06 1.46 1.46 1.06 1.89 0.
time (sec) N/A 0.17 0.067 0.01 1.366 0.204 2.685 0.211 0.
Problem 37 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 66 66 66 63 99 101 75 104 0
normalized size 1 1. 1. 0.95 1.5 1.53 1.14 1.58 0.
time (sec) N/A 0.127 0.049 0.009 1.38 0.198 2.96 0.211 0.
Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 77 76 104 104 76 122 65
normalized size 1 1. 1.22 1.21 1.65 1.65 1.21 1.94 1.03
time (sec) N/A 0.112 0.063 0.01 1.363 0.205 4.735 0.212 16.4
Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 73 66 101 101 80 107 68
normalized size 1 1. 1. 0.9 1.38 1.38 1.1 1.47 0.93
time (sec) N/A 0.129 0.049 0.008 1.381 0.205 4.896 0.21 17.769
Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 78 66 101 101 80 107 70
normalized size 1 1. 1.59 1.35 2.06 2.06 1.63 2.18 1.43
time (sec) N/A 0.127 0.035 0.007 1.371 0.206 7.527 0.211 20.786
Problem 41 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 119 119 119 140 0 1 194 180 0
normalized size 1 1. 1. 1.18 0. 0.01 1.63 1.51 0.
time (sec) N/A 0.195 0.144 0.007 0. 0.218 1.028 0.21 0.
Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 96 96 92 110 131 132 85 136 0
normalized size 1 1. 0.96 1.15 1.36 1.38 0.89 1.42 0.
time (sec) N/A 0.253 0.065 0.006 1.381 0.214 0.909 0.212 0.
Problem 43 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 98 98 98 116 0 1 173 146 0
normalized size 1 1. 1. 1.18 0. 0.01 1.77 1.49 0.
time (sec) N/A 0.166 0.109 0.005 0. 0.234 0.984 0.213 0.
Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 75 75 71 86 100 101 65 104 0
normalized size 1 1. 0.95 1.15 1.33 1.35 0.87 1.39 0.
time (sec) N/A 0.191 0.055 0.005 1.379 0.222 0.865 0.211 0.
Problem 45 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 77 77 77 92 0 1 150 115 0
normalized size 1 1. 1. 1.19 0. 0.01 1.95 1.49 0.
time (sec) N/A 0.142 0.095 0.005 0. 0.219 0.933 0.212 0.
Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 47 62 68 69 44 70 0
normalized size 1 1. 0.87 1.15 1.26 1.28 0.81 1.3 0.
time (sec) N/A 0.141 0.034 0.005 1.377 0.203 0.816 0.212 0.
Problem 47 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 58 58 57 68 0 1 90 77 49
normalized size 1 1. 0.98 1.17 0. 0.02 1.55 1.33 0.84
time (sec) N/A 0.114 0.065 0.005 0. 0.217 0.875 0.208 16.981
Problem 48 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 31 40 42 41 27 43 0
normalized size 1 1. 0.89 1.14 1.2 1.17 0.77 1.23 0.
time (sec) N/A 0.086 0.02 0.004 1.38 0.207 0.751 0.211 0.
Problem 49 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 40 40 40 45 0 1 82 46 34
normalized size 1 1. 1. 1.12 0. 0.02 2.05 1.15 0.85
time (sec) N/A 0.058 0.037 0.003 0. 0.222 0.794 0.209 9.727
Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 34 37 47 43 26 46 29
normalized size 1 1. 1. 1.09 1.38 1.26 0.76 1.35 0.85
time (sec) N/A 0.105 0.021 0.007 1.372 0.211 1.1 0.211 14.549
Problem 51 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 42 42 42 48 0 1 82 49 36
normalized size 1 1. 1. 1.14 0. 0.02 1.95 1.17 0.86
time (sec) N/A 0.068 0.043 0.007 0. 0.22 0.884 0.209 10.974
Problem 52 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 41 41 41 39 0 1 75 51 34
normalized size 1 1. 1. 0.95 0. 0.02 1.83 1.24 0.83
time (sec) N/A 0.074 0.042 0.009 0. 0.219 0.893 0.209 11.637
Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 49 56 65 63 41 96 44
normalized size 1 1. 1. 1.14 1.33 1.29 0.84 1.96 0.9
time (sec) N/A 0.129 0.036 0.01 1.38 0.217 1.497 0.212 16.952
Problem 54 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 61 61 60 72 0 1 129 77 49
normalized size 1 1. 0.98 1.18 0. 0.02 2.11 1.26 0.8
time (sec) N/A 0.119 0.086 0.009 0. 0.223 1.089 0.209 14.969
Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 70 70 70 81 95 99 61 135 63
normalized size 1 1. 1. 1.16 1.36 1.41 0.87 1.93 0.9
time (sec) N/A 0.16 0.051 0.01 1.378 0.218 1.825 0.21 20.111
Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 78 96 0 1 163 109 66
normalized size 1 1. 1. 1.23 0. 0.01 2.09 1.4 0.85
time (sec) N/A 0.147 0.092 0.009 0. 0.222 1.312 0.21 19.282
Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 92 92 96 107 130 132 88 170 83
normalized size 1 1. 1.04 1.16 1.41 1.43 0.96 1.85 0.9
time (sec) N/A 0.196 0.065 0.012 1.386 0.22 2.127 0.21 24.519
Problem 58 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 133 133 134 155 0 1 233 188 0
normalized size 1 1. 1.01 1.17 0. 0.01 1.75 1.41 0.
time (sec) N/A 0.308 0.185 0.014 0. 0.219 1.724 0.21 0.
Problem 59 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 105 105 93 122 144 200 102 182 0
normalized size 1 1. 0.89 1.16 1.37 1.9 0.97 1.73 0.
time (sec) N/A 0.293 0.125 0.016 1.379 0.209 1.636 0.212 0.
Problem 60 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 110 110 111 132 0 1 206 155 102
normalized size 1 1. 1.01 1.2 0. 0.01 1.87 1.41 0.93
time (sec) N/A 0.246 0.176 0.013 0. 0.224 1.623 0.21 49.537
Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 83 83 72 98 111 163 78 143 0
normalized size 1 1. 0.87 1.18 1.34 1.96 0.94 1.72 0.
time (sec) N/A 0.225 0.102 0.017 1.381 0.207 1.562 0.214 0.
Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 89 105 0 1 128 119 80
normalized size 1 1. 1. 1.18 0. 0.01 1.44 1.34 0.9
time (sec) N/A 0.199 0.124 0.013 0. 0.227 1.498 0.208 38.732
Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 61 61 50 74 81 109 56 95 0
normalized size 1 1. 0.82 1.21 1.33 1.79 0.92 1.56 0.
time (sec) N/A 0.168 0.066 0.015 1.379 0.212 1.372 0.211 0.
Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 68 68 68 82 0 1 114 80 60
normalized size 1 1. 1. 1.21 0. 0.01 1.68 1.18 0.88
time (sec) N/A 0.152 0.087 0.012 0. 0.221 1.277 0.21 22.969
Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 41 47 54 59 36 50 32
normalized size 1 1. 1. 1.15 1.32 1.44 0.88 1.22 0.78
time (sec) N/A 0.103 0.021 0.015 1.371 0.205 1.001 0.214 14.308
Problem 66 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 63 68 0 1 112 77 51
normalized size 1 1. 1. 1.08 0. 0.02 1.78 1.22 0.81
time (sec) N/A 0.083 0.082 0.013 0. 0.218 1.049 0.211 10.721
Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 51 51 46 53 69 95 46 70 44
normalized size 1 1. 0.9 1.04 1.35 1.86 0.9 1.37 0.86
time (sec) N/A 0.131 0.051 0.017 1.376 0.21 1.096 0.214 17.266
Problem 68 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 70 85 0 1 114 84 61
normalized size 1 1. 1. 1.21 0. 0.01 1.63 1.2 0.87
time (sec) N/A 0.174 0.058 0.016 0. 0.226 1.245 0.21 20.205
Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 64 86 103 158 70 108 68
normalized size 1 1. 0.88 1.18 1.41 2.16 0.96 1.48 0.93
time (sec) N/A 0.189 0.093 0.021 1.393 0.213 1.895 0.214 21.551
Problem 70 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 90 90 90 110 0 1 184 115 80
normalized size 1 1. 1. 1.22 0. 0.01 2.04 1.28 0.89
time (sec) N/A 0.258 0.118 0.019 0. 0.218 1.548 0.211 39.312
Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 85 114 143 208 100 203 94
normalized size 1 1. 0.88 1.18 1.47 2.14 1.03 2.09 0.97
time (sec) N/A 0.235 0.184 0.022 1.377 0.212 2.42 0.213 26.931
Problem 72 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 111 111 112 136 0 1 218 151 102
normalized size 1 1. 1.01 1.23 0. 0.01 1.96 1.36 0.92
time (sec) N/A 0.353 0.17 0.018 0. 0.221 1.968 0.217 61.76
Problem 73 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 140 140 133 174 0 1 250 186 133
normalized size 1 1. 0.95 1.24 0. 0.01 1.79 1.33 0.95
time (sec) N/A 0.418 0.191 0.017 0. 0.216 2.979 0.219 100.934
Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 111 111 94 134 157 242 116 178 0
normalized size 1 1. 0.85 1.21 1.41 2.18 1.05 1.6 0.
time (sec) N/A 0.309 0.112 0.018 1.38 0.226 3.028 0.217 0.
Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 118 118 113 147 0 1 212 150 110
normalized size 1 1. 0.96 1.25 0. 0.01 1.8 1.27 0.93
time (sec) N/A 0.319 0.146 0.015 0. 0.237 2.78 0.214 76.916
Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 92 109 127 192 94 126 0
normalized size 1 1. 1.03 1.22 1.43 2.16 1.06 1.42 0.
time (sec) N/A 0.231 0.062 0.016 1.375 0.21 2.716 0.217 0.
Problem 77 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 95 95 92 122 0 1 194 108 88
normalized size 1 1. 0.97 1.28 0. 0.01 2.04 1.14 0.93
time (sec) N/A 0.226 0.132 0.015 0. 0.22 2.305 0.216 41.58
Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 67 67 64 80 97 120 70 74 56
normalized size 1 1. 0.96 1.19 1.45 1.79 1.04 1.1 0.84
time (sec) N/A 0.164 0.042 0.015 1.369 0.204 2.056 0.218 21.405
Problem 79 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 90 90 83 89 0 1 153 105 78
normalized size 1 1. 0.92 0.99 0. 0.01 1.7 1.17 0.87
time (sec) N/A 0.181 0.137 0.013 0. 0.223 1.708 0.217 23.616
Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 30 39 57 57 42 38 26
normalized size 1 1. 0.94 1.22 1.78 1.78 1.31 1.19 0.81
time (sec) N/A 0.079 0.023 0.013 1.371 0.203 1.324 0.217 9.775
Problem 81 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 92 92 84 90 0 1 150 105 78
normalized size 1 1. 0.91 0.98 0. 0.01 1.63 1.14 0.85
time (sec) N/A 0.108 0.1 0.013 0. 0.221 1.386 0.215 13.927
Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 68 68 59 68 104 161 75 103 60
normalized size 1 1. 0.87 1. 1.53 2.37 1.1 1.51 0.88
time (sec) N/A 0.16 0.081 0.021 1.376 0.218 1.44 0.219 20.736
Problem 83 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 96 96 96 125 0 1 194 111 88
normalized size 1 1. 1. 1.3 0. 0.01 2.02 1.16 0.92
time (sec) N/A 0.28 0.108 0.016 0. 0.222 1.71 0.214 30.654
Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 86 118 147 266 107 142 90
normalized size 1 1. 0.89 1.22 1.52 2.74 1.1 1.46 0.93
time (sec) N/A 0.244 0.101 0.027 1.381 0.212 2.5 0.217 26.53
Problem 85 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 117 117 119 152 0 1 226 146 109
normalized size 1 1. 1.02 1.3 0. 0.01 1.93 1.25 0.93
time (sec) N/A 0.432 0.117 0.023 0. 0.223 2.318 0.214 61.489
Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 121 121 108 150 185 309 136 178 119
normalized size 1 1. 0.89 1.24 1.53 2.55 1.12 1.47 0.98
time (sec) N/A 0.298 0.146 0.025 1.399 0.212 3.497 0.216 34.041
Problem 87 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 140 140 140 177 0 1 260 182 146
normalized size 1 1. 1. 1.26 0. 0.01 1.86 1.3 1.04
time (sec) N/A 0.541 0.128 0.022 0. 0.235 3.465 0.212 140.086
Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 148 148 135 180 230 360 165 271 143
normalized size 1 1. 0.91 1.22 1.55 2.43 1.11 1.83 0.97
time (sec) N/A 0.37 0.238 0.024 1.398 0.219 5.077 0.214 42.801
Problem 89 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 218 218 188 295 0 1 0 333 211
normalized size 1 1. 0.86 1.35 0. 0. 0. 1.53 0.97
time (sec) N/A 0.724 0.428 0.046 0. 0.581 0. 0.223 42.998
Problem 90 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 181 181 169 253 0 1 0 288 168
normalized size 1 1. 0.93 1.4 0. 0.01 0. 1.59 0.93
time (sec) N/A 0.639 0.339 0.019 0. 0.378 0. 0.221 36.074
Problem 91 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 125 125 146 211 0 1 0 242 133
normalized size 1 1. 1.17 1.69 0. 0.01 0. 1.94 1.06
time (sec) N/A 0.366 0.236 0.016 0. 0.29 0. 0.221 29.766
Problem 92 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 107 107 124 169 0 1 0 192 95
normalized size 1 1. 1.16 1.58 0. 0.01 0. 1.79 0.89
time (sec) N/A 0.275 0.212 0.014 0. 0.251 0. 0.219 21.428
Problem 93 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 100 100 99 127 0 1 0 142 87
normalized size 1 1. 0.99 1.27 0. 0.01 0. 1.42 0.87
time (sec) N/A 0.382 0.165 0.01 0. 0.24 0. 0.22 23.443
Problem 94 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 97 97 90 130 0 1 0 124 80
normalized size 1 1. 0.93 1.34 0. 0.01 0. 1.28 0.82
time (sec) N/A 0.409 0.125 0.016 0. 0.232 0. 0.254 23.494
Problem 95 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 80 80 101 100 0 1 0 220 70
normalized size 1 1. 1.26 1.25 0. 0.01 0. 2.75 0.88
time (sec) N/A 0.369 0.117 0.017 0. 0.236 0. 0.319 21.71
Problem 96 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 61 61 44 48 0 80 0 338 54
normalized size 1 1. 0.72 0.79 0. 1.31 0. 5.54 0.89
time (sec) N/A 0.317 0.055 0.008 0. 0.236 0. 0.423 19.676
Problem 97 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 96 96 66 70 0 115 0 419 88
normalized size 1 1. 0.69 0.73 0. 1.2 0. 4.36 0.92
time (sec) N/A 0.409 0.081 0.01 0. 0.265 0. 0.563 23.828
Problem 98 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 133 133 88 94 0 147 0 500 128
normalized size 1 1. 0.66 0.71 0. 1.11 0. 3.76 0.96
time (sec) N/A 0.49 0.086 0.009 0. 0.343 0. 0.762 29.457
Problem 99 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 170 170 110 118 0 180 0 581 163
normalized size 1 1. 0.65 0.69 0. 1.06 0. 3.42 0.96
time (sec) N/A 0.601 0.121 0.01 0. 0.493 0. 1.102 35.03
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 131 131 82 91 143 143 0 180 122
normalized size 1 1. 0.63 0.69 1.09 1.09 0. 1.37 0.93
time (sec) N/A 0.374 0.095 0.009 1.404 0.228 0. 0.232 29.374
Problem 101 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 94 94 64 67 112 111 0 142 85
normalized size 1 1. 0.68 0.71 1.19 1.18 0. 1.51 0.9
time (sec) N/A 0.277 0.065 0.009 1.401 0.231 0. 0.215 23.864
Problem 102 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 61 61 41 45 69 77 0 99 51
normalized size 1 1. 0.67 0.74 1.13 1.26 0. 1.62 0.84
time (sec) N/A 0.061 0.047 0.006 1.398 0.22 0. 0.213 7.842
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 78 78 101 85 0 1 0 157 66
normalized size 1 1. 1.29 1.09 0. 0.01 0. 2.01 0.85
time (sec) N/A 0.241 0.138 0.013 0. 0.237 0. 0.216 18.874
Problem 104 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 100 100 113 141 0 1 0 103 85
normalized size 1 1. 1.13 1.41 0. 0.01 0. 1.03 0.85
time (sec) N/A 0.266 0.109 0.015 0. 0.243 0. 0.239 20.01
Problem 105 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 103 103 123 187 0 1 0 178 88
normalized size 1 1. 1.19 1.82 0. 0.01 0. 1.73 0.85
time (sec) N/A 0.267 0.201 0.018 0. 0.239 0. 0.247 20.58
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 223 223 210 333 0 1 0 381 209
normalized size 1 1. 0.94 1.49 0. 0. 0. 1.71 0.94
time (sec) N/A 0.731 0.384 0.05 0. 0.901 0. 0.225 42.916
Problem 107 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 167 167 192 291 0 1 0 335 173
normalized size 1 1. 1.15 1.74 0. 0.01 0. 2.01 1.04
time (sec) N/A 0.437 0.365 0.018 0. 0.579 0. 0.223 35.738
Problem 108 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 148 148 166 249 0 1 0 282 138
normalized size 1 1. 1.12 1.68 0. 0.01 0. 1.91 0.93
time (sec) N/A 0.333 0.343 0.016 0. 0.376 0. 0.221 26.425
Problem 109 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 144 144 150 207 0 1 0 243 131
normalized size 1 1. 1.04 1.44 0. 0.01 0. 1.69 0.91
time (sec) N/A 0.483 0.251 0.015 0. 0.302 0. 0.218 28.065
Problem 110 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 137 137 125 165 0 1 0 194 121
normalized size 1 1. 0.91 1.2 0. 0.01 0. 1.42 0.88
time (sec) N/A 0.525 0.221 0.011 0. 0.259 0. 0.219 28.495
Problem 111 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 128 128 109 174 0 1 0 170 117
normalized size 1 1. 0.85 1.36 0. 0.01 0. 1.33 0.91
time (sec) N/A 0.49 0.191 0.017 0. 0.248 0. 0.26 28.16
Problem 112 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 136 136 113 206 0 1 0 304 121
normalized size 1 1. 0.83 1.51 0. 0.01 0. 2.24 0.89
time (sec) N/A 0.504 0.136 0.016 0. 0.241 0. 0.341 28.511
Problem 113 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 104 104 112 142 0 1 0 343 92
normalized size 1 1. 1.08 1.37 0. 0.01 0. 3.3 0.88
time (sec) N/A 0.447 0.184 0.019 0. 0.242 0. 0.472 25.666
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 61 61 44 48 0 111 0 500 54
normalized size 1 1. 0.72 0.79 0. 1.82 0. 8.2 0.89
time (sec) N/A 0.319 0.078 0.006 0. 0.256 0. 0.712 20.187
Problem 115 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 96 96 66 70 0 147 0 581 88
normalized size 1 1. 0.69 0.73 0. 1.53 0. 6.05 0.92
time (sec) N/A 0.425 0.089 0.008 0. 0.331 0. 0.981 24.035
Problem 116 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 133 133 89 94 0 181 0 662 126
normalized size 1 1. 0.67 0.71 0. 1.36 0. 4.98 0.95
time (sec) N/A 0.52 0.107 0.009 0. 0.489 0. 1.251 29.593
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 170 170 110 118 0 212 0 743 163
normalized size 1 1. 0.65 0.69 0. 1.25 0. 4.37 0.96
time (sec) N/A 0.614 0.122 0.01 0. 0.757 0. 1.686 35.243
Problem 118 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 207 207 132 142 0 244 0 786 202
normalized size 1 1. 0.64 0.69 0. 1.18 0. 3.8 0.98
time (sec) N/A 0.691 0.139 0.01 0. 1.239 0. 2.061 42.708
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 168 168 113 115 203 208 0 440 160
normalized size 1 1. 0.67 0.68 1.21 1.24 0. 2.62 0.95
time (sec) N/A 0.487 0.105 0.01 1.4 0.226 0. 0.235 37.784
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 131 131 92 91 173 177 0 363 122
normalized size 1 1. 0.7 0.69 1.32 1.35 0. 2.77 0.93
time (sec) N/A 0.373 0.09 0.009 1.41 0.225 0. 0.219 31.565
Problem 121 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 96 96 71 67 142 143 0 288 87
normalized size 1 1. 0.74 0.7 1.48 1.49 0. 3. 0.91
time (sec) N/A 0.143 0.077 0.008 1.398 0.222 0. 0.217 14.653
Problem 122 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 61 61 48 45 108 108 0 203 53
normalized size 1 1. 0.79 0.74 1.77 1.77 0. 3.33 0.87
time (sec) N/A 0.244 0.053 0.006 1.403 0.227 0. 0.214 18.349
Problem 123 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 102 102 125 99 0 1 0 189 88
normalized size 1 1. 1.23 0.97 0. 0.01 0. 1.85 0.86
time (sec) N/A 0.324 0.224 0.014 0. 0.257 0. 0.217 25.822
Problem 124 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 133 133 132 172 0 1 0 155 116
normalized size 1 1. 0.99 1.29 0. 0.01 0. 1.17 0.87
time (sec) N/A 0.355 0.185 0.016 0. 0.25 0. 0.253 27.479
Problem 125 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 135 135 133 227 0 1 0 196 121
normalized size 1 1. 0.99 1.68 0. 0.01 0. 1.45 0.9
time (sec) N/A 0.355 0.186 0.017 0. 0.251 0. 0.25 27.602
Problem 126 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 140 140 151 273 0 1 0 236 121
normalized size 1 1. 1.08 1.95 0. 0.01 0. 1.69 0.86
time (sec) N/A 0.367 0.315 0.02 0. 0.274 0. 0.293 28.809
Problem 127 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 177 177 175 316 0 1 0 289 162
normalized size 1 1. 0.99 1.79 0. 0.01 0. 1.63 0.92
time (sec) N/A 0.456 0.291 0.029 0. 0.321 0. 0.334 37.696
Problem 128 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 214 214 195 358 0 1 0 316 192
normalized size 1 1. 0.91 1.67 0. 0. 0. 1.48 0.9
time (sec) N/A 0.571 0.653 0.052 0. 0.416 0. 0.381 46.564
Problem 129 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 251 251 219 400 0 1 0 397 233
normalized size 1 1. 0.87 1.59 0. 0. 0. 1.58 0.93
time (sec) N/A 0.654 0.357 0.101 0. 0.609 0. 0.464 56.402
Problem 130 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 176 176 148 213 0 1 0 0 168
normalized size 1 1. 0.84 1.21 0. 0.01 0. 0. 0.95
time (sec) N/A 0.641 0.163 0.022 0. 0.299 0. 0. 36.799
Problem 131 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 139 139 126 171 0 1 0 0 128
normalized size 1 1. 0.91 1.23 0. 0.01 0. 0. 0.92
time (sec) N/A 0.537 0.143 0.016 0. 0.257 0. 0. 30.778
Problem 132 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 83 83 100 129 0 1 0 123 92
normalized size 1 1. 1.2 1.55 0. 0.01 0. 1.48 1.11
time (sec) N/A 0.328 0.112 0.015 0. 0.245 0. 0.241 24.801
Problem 133 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 66 66 84 88 0 1 0 90 56
normalized size 1 1. 1.27 1.33 0. 0.02 0. 1.36 0.85
time (sec) N/A 0.224 0.085 0.009 0. 0.234 0. 0.243 17.637
Problem 134 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 57 57 77 67 0 1 0 54 49
normalized size 1 1. 1.35 1.18 0. 0.02 0. 0.95 0.86
time (sec) N/A 0.294 0.059 0.015 0. 0.231 0. 0.225 19.367
Problem 135 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 61 61 43 47 0 51 0 58 54
normalized size 1 1. 0.7 0.77 0. 0.84 0. 0.95 0.89
time (sec) N/A 0.327 0.061 0.008 0. 0.222 0. 0.222 20.196
Problem 136 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 96 96 64 70 0 84 0 99 88
normalized size 1 1. 0.67 0.73 0. 0.88 0. 1.03 0.92
time (sec) N/A 0.409 0.086 0.008 0. 0.233 0. 0.223 24.198
Problem 137 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 133 133 89 94 0 116 0 140 126
normalized size 1 1. 0.67 0.71 0. 0.87 0. 1.05 0.95
time (sec) N/A 0.503 0.094 0.009 0. 0.258 0. 0.225 29.325
Problem 138 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 170 170 110 118 0 149 0 182 163
normalized size 1 1. 0.65 0.69 0. 0.88 0. 1.07 0.96
time (sec) N/A 0.596 0.11 0.01 0. 0.337 0. 0.229 35.293
Problem 139 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 131 131 85 89 143 112 0 0 122
normalized size 1 1. 0.65 0.68 1.09 0.85 0. 0. 0.93
time (sec) N/A 0.384 0.086 0.01 1.406 0.226 0. 0. 33.827
Problem 140 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 63 65 112 80 0 0 85
normalized size 1 1. 0.67 0.69 1.19 0.85 0. 0. 0.9
time (sec) N/A 0.288 0.072 0.008 1.393 0.231 0. 0. 26.117
Problem 141 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 59 59 40 42 68 49 0 0 49
normalized size 1 1. 0.68 0.71 1.15 0.83 0. 0. 0.83
time (sec) N/A 0.204 0.037 0.006 1.394 0.227 0. 0. 21.591
Problem 142 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 55 55 91 72 0 1 0 81 46
normalized size 1 1. 1.65 1.31 0. 0.02 0. 1.47 0.84
time (sec) N/A 0.06 0.095 0.014 0. 0.235 0. 0.238 8.12
Problem 143 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 68 68 112 105 0 1 0 0 58
normalized size 1 1. 1.65 1.54 0. 0.01 0. 0. 0.85
time (sec) N/A 0.204 0.142 0.015 0. 0.232 0. 0. 14.54
Problem 144 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 103 103 133 148 0 1 0 0 94
normalized size 1 1. 1.29 1.44 0. 0.01 0. 0. 0.91
time (sec) N/A 0.288 0.173 0.021 0. 0.239 0. 0. 21.381
Problem 145 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 184 184 140 168 0 1 0 0 172
normalized size 1 1. 0.76 0.91 0. 0.01 0. 0. 0.93
time (sec) N/A 0.668 0.178 0.025 0. 0.276 0. 0. 39.832
Problem 146 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 147 147 115 142 0 1 0 0 134
normalized size 1 1. 0.78 0.97 0. 0.01 0. 0. 0.91
time (sec) N/A 0.553 0.141 0.015 0. 0.25 0. 0. 33.241
Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 112 112 91 117 0 1 0 0 94
normalized size 1 1. 0.81 1.04 0. 0.01 0. 0. 0.84
time (sec) N/A 0.454 0.106 0.015 0. 0.255 0. 0. 28.464
Problem 148 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 77 75 0 1 0 0 56
normalized size 1 1. 1.15 1.12 0. 0.01 0. 0. 0.84
time (sec) N/A 0.299 0.083 0.01 0. 0.235 0. 0. 21.397
Problem 149 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 37 37 37 47 88 66 0 49 37
normalized size 1 1. 1. 1.27 2.38 1.78 0. 1.32 1.
time (sec) N/A 0.197 0.058 0.007 1.399 0.228 0. 0.233 14.761
Problem 150 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 66 66 64 66 0 97 0 0 60
normalized size 1 1. 0.97 1. 0. 1.47 0. 0. 0.91
time (sec) N/A 0.311 0.082 0.009 0. 0.234 0. 0. 19.068
Problem 151 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 101 101 85 94 0 132 0 0 95
normalized size 1 1. 0.84 0.93 0. 1.31 0. 0. 0.94
time (sec) N/A 0.417 0.099 0.009 0. 0.246 0. 0. 23.869
Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 138 138 108 118 0 163 0 0 133
normalized size 1 1. 0.78 0.86 0. 1.18 0. 0. 0.96
time (sec) N/A 0.507 0.116 0.009 0. 0.304 0. 0. 29.15
Problem 153 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 139 139 82 91 111 126 0 0 126
normalized size 1 1. 0.59 0.65 0.8 0.91 0. 0. 0.91
time (sec) N/A 0.404 0.092 0.009 1.411 0.226 0. 0. 36.817
Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 104 104 60 66 80 92 0 0 90
normalized size 1 1. 0.58 0.63 0.77 0.88 0. 0. 0.87
time (sec) N/A 0.305 0.069 0.007 1.389 0.225 0. 0. 29.418
Problem 155 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 69 69 35 44 53 61 0 81 54
normalized size 1 1. 0.51 0.64 0.77 0.88 0. 1.17 0.78
time (sec) N/A 0.221 0.031 0.006 1.404 0.22 0. 0.233 22.137
Problem 156 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 64 64 92 79 0 1 0 0 53
normalized size 1 1. 1.44 1.23 0. 0.02 0. 0. 0.83
time (sec) N/A 0.222 0.113 0.015 0. 0.235 0. 0. 18.417
Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 142 142 123 131 0 1 0 4 122
normalized size 1 1. 0.87 0.92 0. 0.01 0. 0.03 0.86
time (sec) N/A 0.193 0.178 0.019 0. 0.243 0. 0.565 19.635
Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 137 147 159 0 1 0 0 128
normalized size 1 1. 1.07 1.16 0. 0.01 0. 0. 0.93
time (sec) N/A 0.326 0.204 0.021 0. 0.256 0. 0. 25.511
Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 39 39 33 32 36 43 46 39 41
normalized size 1 1. 0.85 0.82 0.92 1.1 1.18 1. 1.05
time (sec) N/A 0.064 0.02 0.005 1.362 0.218 35.753 0.207 7.496
Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 39 39 33 32 36 43 46 39 41
normalized size 1 1. 0.85 0.82 0.92 1.1 1.18 1. 1.05
time (sec) N/A 0.063 0.019 0.006 1.379 0.221 19.155 0.207 7.472
Problem 161 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 33 32 36 43 46 39 41
normalized size 1 1. 0.85 0.82 0.92 1.1 1.18 1. 1.05
time (sec) N/A 0.062 0.02 0.005 1.386 0.222 8.905 0.207 7.502
Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 33 32 36 43 37 39 41
normalized size 1 1. 0.85 0.82 0.92 1.1 0.95 1. 1.05
time (sec) N/A 0.061 0.017 0.005 1.369 0.219 2.473 0.208 7.506
Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 39 39 33 32 36 43 46 39 41
normalized size 1 1. 0.85 0.82 0.92 1.1 1.18 1. 1.05
time (sec) N/A 0.061 0.018 0.006 1.37 0.216 3.164 0.208 7.493
Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 33 32 36 41 46 39 41
normalized size 1 1. 0.85 0.82 0.92 1.05 1.18 1. 1.05
time (sec) N/A 0.06 0.018 0.006 1.375 0.231 3.596 0.206 7.653
Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 32 36 39 44 39 39
normalized size 1 1. 0.89 0.86 0.97 1.05 1.19 1.05 1.05
time (sec) N/A 0.06 0.018 0.005 1.372 0.223 4.51 0.207 7.523
Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 32 36 39 44 39 39
normalized size 1 1. 0.89 0.86 0.97 1.05 1.19 1.05 1.05
time (sec) N/A 0.063 0.018 0.006 1.371 0.242 6.616 0.209 7.537
Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 63 56 69 76 80 72 63
normalized size 1 1. 1. 0.89 1.1 1.21 1.27 1.14 1.
time (sec) N/A 0.113 0.033 0.008 1.377 0.225 95.081 0.208 13.205
Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 53 56 69 76 80 72 63
normalized size 1 1. 0.84 0.89 1.1 1.21 1.27 1.14 1.
time (sec) N/A 0.111 0.033 0.007 1.375 0.22 62.67 0.208 13.17
Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 63 56 69 76 80 72 63
normalized size 1 1. 1. 0.89 1.1 1.21 1.27 1.14 1.
time (sec) N/A 0.112 0.032 0.008 1.372 0.218 36.302 0.209 13.232
Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 53 56 69 76 66 72 63
normalized size 1 1. 0.84 0.89 1.1 1.21 1.05 1.14 1.
time (sec) N/A 0.108 0.034 0.009 1.366 0.213 8.774 0.207 13.261
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 63 63 53 56 69 76 80 72 63
normalized size 1 1. 0.84 0.89 1.1 1.21 1.27 1.14 1.
time (sec) N/A 0.107 0.034 0.008 1.372 0.214 15.544 0.206 13.211
Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 63 56 69 76 80 72 63
normalized size 1 1. 1. 0.89 1.1 1.21 1.27 1.14 1.
time (sec) N/A 0.108 0.031 0.008 1.378 0.215 17.373 0.208 13.155
Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 53 56 69 76 80 72 63
normalized size 1 1. 0.84 0.89 1.1 1.21 1.27 1.14 1.
time (sec) N/A 0.109 0.034 0.008 1.366 0.215 21.828 0.208 13.16
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 63 63 53 56 69 73 80 72 63
normalized size 1 1. 0.84 0.89 1.1 1.16 1.27 1.14 1.
time (sec) N/A 0.106 0.033 0.008 1.37 0.229 29.31 0.208 13.44
Problem 175 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 85 85 85 80 99 105 0 104 85
normalized size 1 1. 1. 0.94 1.16 1.24 0. 1.22 1.
time (sec) N/A 0.141 0.049 0.01 1.37 0.222 0. 0.207 16.523
Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 85 85 85 80 99 105 114 104 85
normalized size 1 1. 1. 0.94 1.16 1.24 1.34 1.22 1.
time (sec) N/A 0.138 0.048 0.009 1.367 0.226 148.499 0.208 16.441
Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 85 85 85 80 99 105 114 104 85
normalized size 1 1. 1. 0.94 1.16 1.24 1.34 1.22 1.
time (sec) N/A 0.137 0.046 0.008 1.384 0.219 95.768 0.209 16.434
Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 85 85 85 80 99 105 95 104 85
normalized size 1 1. 1. 0.94 1.16 1.24 1.12 1.22 1.
time (sec) N/A 0.135 0.041 0.009 1.373 0.213 26.872 0.209 16.481
Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 85 85 85 80 99 105 114 104 85
normalized size 1 1. 1. 0.94 1.16 1.24 1.34 1.22 1.
time (sec) N/A 0.134 0.039 0.009 1.37 0.217 55.285 0.208 16.472
Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 85 85 85 80 99 105 114 104 85
normalized size 1 1. 1. 0.94 1.16 1.24 1.34 1.22 1.
time (sec) N/A 0.137 0.038 0.009 1.37 0.218 62.741 0.21 16.429
Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 85 85 85 80 99 105 114 104 85
normalized size 1 1. 1. 0.94 1.16 1.24 1.34 1.22 1.
time (sec) N/A 0.136 0.04 0.01 1.371 0.213 70.152 0.208 16.414
Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 85 85 85 80 99 105 114 104 85
normalized size 1 1. 1. 0.94 1.16 1.24 1.34 1.22 1.
time (sec) N/A 0.137 0.038 0.009 1.369 0.214 80.283 0.209 16.382
Problem 183 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 278 278 264 336 0 1083 0 402 260
normalized size 1 1. 0.95 1.21 0. 3.9 0. 1.45 0.94
time (sec) N/A 0.549 0.393 0.023 0. 0.248 0. 0.225 80.404
Problem 184 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 276 276 264 330 0 805 0 402 258
normalized size 1 1. 0.96 1.2 0. 2.92 0. 1.46 0.93
time (sec) N/A 0.503 0.266 0.013 0. 0.245 0. 0.22 78.824
Problem 185 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 257 257 243 308 0 1054 0 356 240
normalized size 1 1. 0.95 1.2 0. 4.1 0. 1.39 0.93
time (sec) N/A 0.434 0.338 0.014 0. 0.257 0. 0.223 72.531
Problem 186 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 255 255 243 299 0 737 0 355 238
normalized size 1 1. 0.95 1.17 0. 2.89 0. 1.39 0.93
time (sec) N/A 0.428 0.233 0.012 0. 0.248 0. 0.217 71.182
Problem 187 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 237 237 213 280 0 977 0 339 221
normalized size 1 1. 0.9 1.18 0. 4.12 0. 1.43 0.93
time (sec) N/A 0.377 0.217 0.013 0. 0.259 0. 0.222 65.2
Problem 188 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 235 235 212 277 0 709 0 339 219
normalized size 1 1. 0.9 1.18 0. 3.02 0. 1.44 0.93
time (sec) N/A 0.374 0.206 0.012 0. 0.254 0. 0.22 63.989
Problem 189 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 235 235 221 277 0 996 374 339 219
normalized size 1 1. 0.94 1.18 0. 4.24 1.59 1.44 0.93
time (sec) N/A 0.396 0.363 0.016 0. 0.245 51.389 0.222 65.544
Problem 190 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 237 237 223 280 0 722 379 339 221
normalized size 1 1. 0.94 1.18 0. 3.05 1.6 1.43 0.93
time (sec) N/A 0.386 0.328 0.014 0. 0.244 86.117 0.219 64.407
Problem 191 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 255 255 243 299 0 1031 405 362 240
normalized size 1 1. 0.95 1.17 0. 4.04 1.59 1.42 0.94
time (sec) N/A 0.443 0.56 0.017 0. 0.272 176.4 0.226 72.764
Problem 192 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 257 257 243 308 0 787 0 347 241
normalized size 1 1. 0.95 1.2 0. 3.06 0. 1.35 0.94
time (sec) N/A 0.449 0.361 0.017 0. 0.271 0. 0.219 71.557
Problem 193 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 276 276 264 330 0 1089 0 393 260
normalized size 1 1. 0.96 1.2 0. 3.95 0. 1.42 0.94
time (sec) N/A 0.503 0.519 0.019 0. 0.253 0. 0.225 81.34
Problem 194 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 278 278 264 336 0 824 0 393 262
normalized size 1 1. 0.95 1.21 0. 2.96 0. 1.41 0.94
time (sec) N/A 0.5 0.619 0.018 0. 0.243 0. 0.221 79.293
Problem 195 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 332 332 301 372 0 921 0 452 311
normalized size 1 1. 0.91 1.12 0. 2.77 0. 1.36 0.94
time (sec) N/A 0.572 0.448 0.023 0. 0.24 0. 0.222 91.594
Problem 196 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 310 310 277 348 0 1170 0 404 289
normalized size 1 1. 0.89 1.12 0. 3.77 0. 1.3 0.93
time (sec) N/A 0.529 0.551 0.022 0. 0.242 0. 0.225 84.384
Problem 197 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 310 310 277 339 0 851 0 402 289
normalized size 1 1. 0.89 1.09 0. 2.75 0. 1.3 0.93
time (sec) N/A 0.525 0.418 0.021 0. 0.24 0. 0.22 82.91
Problem 198 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 289 289 256 317 0 1095 0 382 269
normalized size 1 1. 0.89 1.1 0. 3.79 0. 1.32 0.93
time (sec) N/A 0.471 0.43 0.022 0. 0.264 0. 0.224 75.987
Problem 199 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 289 289 255 323 0 817 0 382 260
normalized size 1 1. 0.88 1.12 0. 2.83 0. 1.32 0.9
time (sec) N/A 0.456 0.422 0.022 0. 0.265 0. 0.22 75.613
Problem 200 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 261 261 228 305 0 1072 0 369 240
normalized size 1 1. 0.87 1.17 0. 4.11 0. 1.41 0.92
time (sec) N/A 0.41 0.326 0.02 0. 0.248 0. 0.224 68.586
Problem 201 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 261 261 228 305 0 801 0 369 240
normalized size 1 1. 0.87 1.17 0. 3.07 0. 1.41 0.92
time (sec) N/A 0.394 0.333 0.02 0. 0.247 0. 0.222 66.532
Problem 202 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 284 284 252 323 0 1087 0 375 260
normalized size 1 1. 0.89 1.14 0. 3.83 0. 1.32 0.92
time (sec) N/A 0.469 0.481 0.024 0. 0.25 0. 0.226 76.396
Problem 203 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 289 289 256 317 0 838 0 382 269
normalized size 1 1. 0.89 1.1 0. 2.9 0. 1.32 0.93
time (sec) N/A 0.468 0.48 0.023 0. 0.247 0. 0.223 75.162
Problem 204 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 310 310 277 339 0 1164 0 409 289
normalized size 1 1. 0.89 1.09 0. 3.75 0. 1.32 0.93
time (sec) N/A 0.523 0.535 0.027 0. 0.252 0. 0.226 83.805
Problem 205 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 310 310 277 348 0 917 0 394 289
normalized size 1 1. 0.89 1.12 0. 2.96 0. 1.27 0.93
time (sec) N/A 0.525 0.487 0.025 0. 0.25 0. 0.221 82.64
Problem 206 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 332 332 301 372 0 1226 0 443 311
normalized size 1 1. 0.91 1.12 0. 3.69 0. 1.33 0.94
time (sec) N/A 0.61 1.058 0.03 0. 0.25 0. 0.227 92.839
Problem 207 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 343 343 310 381 0 944 0 433 330
normalized size 1 1. 0.9 1.11 0. 2.75 0. 1.26 0.96
time (sec) N/A 0.59 0.464 0.029 0. 0.246 0. 0.222 91.48
Problem 208 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 322 322 287 357 0 1187 0 410 308
normalized size 1 1. 0.89 1.11 0. 3.69 0. 1.27 0.96
time (sec) N/A 0.535 0.53 0.027 0. 0.251 0. 0.229 84.321
Problem 209 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 322 322 287 363 0 909 0 410 298
normalized size 1 1. 0.89 1.13 0. 2.82 0. 1.27 0.93
time (sec) N/A 0.529 0.473 0.026 0. 0.259 0. 0.222 83.154
Problem 210 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 293 293 272 325 0 1177 0 396 275
normalized size 1 1. 0.93 1.11 0. 4.02 0. 1.35 0.94
time (sec) N/A 0.488 0.677 0.025 0. 0.253 0. 0.227 76.219
Problem 211 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 298 298 274 334 0 921 0 402 277
normalized size 1 1. 0.92 1.12 0. 3.09 0. 1.35 0.93
time (sec) N/A 0.497 0.528 0.024 0. 0.256 0. 0.221 75.033
Problem 212 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 298 298 267 335 0 1189 0 402 277
normalized size 1 1. 0.9 1.12 0. 3.99 0. 1.35 0.93
time (sec) N/A 0.493 0.389 0.025 0. 0.254 0. 0.227 76.036
Problem 213 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 293 293 263 325 0 903 0 396 275
normalized size 1 1. 0.9 1.11 0. 3.08 0. 1.35 0.94
time (sec) N/A 0.474 0.396 0.025 0. 0.247 0. 0.224 74.963
Problem 214 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 316 316 284 363 0 1177 0 405 298
normalized size 1 1. 0.9 1.15 0. 3.72 0. 1.28 0.94
time (sec) N/A 0.555 0.499 0.029 0. 0.257 0. 0.227 84.362
Problem 215 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 322 322 286 357 0 929 0 410 306
normalized size 1 1. 0.89 1.11 0. 2.89 0. 1.27 0.95
time (sec) N/A 0.532 0.53 0.029 0. 0.247 0. 0.224 83.279
Problem 216 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 343 343 308 381 0 1257 0 440 326
normalized size 1 1. 0.9 1.11 0. 3.66 0. 1.28 0.95
time (sec) N/A 0.601 0.542 0.034 0. 0.251 0. 0.228 92.932
Problem 217 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 343 343 308 390 0 1010 0 425 326
normalized size 1 1. 0.9 1.14 0. 2.94 0. 1.24 0.95
time (sec) N/A 0.612 0.529 0.031 0. 0.254 0. 0.225 91.923
Problem 218 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 365 365 333 414 0 1319 0 474 350
normalized size 1 1. 0.91 1.13 0. 3.61 0. 1.3 0.96
time (sec) N/A 0.67 0.63 0.039 0. 0.258 0. 0.229 102.433
Problem 219 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 365 365 333 420 0 1050 0 474 350
normalized size 1 1. 0.91 1.15 0. 2.88 0. 1.3 0.96
time (sec) N/A 0.675 0.792 0.033 0. 0.255 0. 0.226 100.633
Problem 220 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 243 243 177 307 0 0 0 0 238
normalized size 1 1. 0.73 1.26 0. 0. 0. 0. 0.98
time (sec) N/A 0.655 0.68 0.082 0. 0. 0. 0. 53.518
Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 369 369 273 446 0 0 0 0 355
normalized size 1 1. 0.74 1.21 0. 0. 0. 0. 0.96
time (sec) N/A 0.845 0.839 0.052 0. 0. 0. 0. 71.229
Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 204 204 159 283 0 0 0 0 199
normalized size 1 1. 0.78 1.39 0. 0. 0. 0. 0.98
time (sec) N/A 0.526 0.72 0.038 0. 0. 0. 0. 44.388
Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 326 326 247 422 0 0 0 0 309
normalized size 1 1. 0.76 1.29 0. 0. 0. 0. 0.95
time (sec) N/A 0.697 0.786 0.039 0. 0. 0. 0. 60.115
Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 165 165 134 257 0 0 0 0 158
normalized size 1 1. 0.81 1.56 0. 0. 0. 0. 0.96
time (sec) N/A 0.457 0.489 0.039 0. 0. 0. 0. 36.161
Problem 225 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 323 323 218 399 0 0 0 0 306
normalized size 1 1. 0.67 1.24 0. 0. 0. 0. 0.95
time (sec) N/A 0.713 1.983 0.048 0. 0. 0. 0. 59.684
Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 163 163 119 239 0 0 0 0 155
normalized size 1 1. 0.73 1.47 0. 0. 0. 0. 0.95
time (sec) N/A 0.438 0.397 0.046 0. 0. 0. 0. 35.936
Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 328 328 219 422 0 0 0 0 309
normalized size 1 1. 0.67 1.29 0. 0. 0. 0. 0.94
time (sec) N/A 0.702 1.038 0.05 0. 0. 0. 0. 59.958
Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 167 167 138 255 0 0 0 0 158
normalized size 1 1. 0.83 1.53 0. 0. 0. 0. 0.95
time (sec) N/A 0.458 0.492 0.047 0. 0. 0. 0. 36.494
Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 369 369 241 452 0 0 0 0 347
normalized size 1 1. 0.65 1.22 0. 0. 0. 0. 0.94
time (sec) N/A 0.834 0.78 0.052 0. 0. 0. 0. 71.99
Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 204 204 158 283 0 0 0 0 199
normalized size 1 1. 0.77 1.39 0. 0. 0. 0. 0.98
time (sec) N/A 0.559 0.728 0.049 0. 0. 0. 0. 44.786
Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 486 486 332 518 0 0 0 0 471
normalized size 1 1. 0.68 1.07 0. 0. 0. 0. 0.97
time (sec) N/A 1.218 3.737 0.067 0. 0. 0. 0. 109.759
Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 321 321 219 355 0 0 0 0 314
normalized size 1 1. 0.68 1.11 0. 0. 0. 0. 0.98
time (sec) N/A 0.871 0.771 0.053 0. 0. 0. 0. 74.555
Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 447 447 313 494 0 0 0 0 432
normalized size 1 1. 0.7 1.11 0. 0. 0. 0. 0.97
time (sec) N/A 1.081 1.622 0.023 0. 0. 0. 0. 96.455
Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 282 282 198 331 0 0 0 0 275
normalized size 1 1. 0.7 1.17 0. 0. 0. 0. 0.98
time (sec) N/A 0.735 0.689 0.021 0. 0. 0. 0. 64.053
Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 408 408 303 470 0 0 0 0 393
normalized size 1 1. 0.74 1.15 0. 0. 0. 0. 0.96
time (sec) N/A 0.947 0.949 0.022 0. 0. 0. 0. 83.77
Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 239 239 174 307 0 0 0 0 230
normalized size 1 1. 0.73 1.28 0. 0. 0. 0. 0.96
time (sec) N/A 0.639 0.572 0.021 0. 0. 0. 0. 54.136
Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 369 369 281 446 0 0 0 0 354
normalized size 1 1. 0.76 1.21 0. 0. 0. 0. 0.96
time (sec) N/A 0.817 0.953 0.022 0. 0. 0. 0. 72.35
Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 201 201 153 283 0 0 0 0 192
normalized size 1 1. 0.76 1.41 0. 0. 0. 0. 0.96
time (sec) N/A 0.546 0.485 0.023 0. 0. 0. 0. 45.469
Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 356 356 249 429 0 0 0 0 340
normalized size 1 1. 0.7 1.21 0. 0. 0. 0. 0.96
time (sec) N/A 0.824 1.006 0.028 0. 0. 0. 0. 71.721
Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 200 200 138 260 0 0 0 0 194
normalized size 1 1. 0.69 1.3 0. 0. 0. 0. 0.97
time (sec) N/A 0.548 0.445 0.024 0. 0. 0. 0. 45.286
Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 354 354 232 427 0 0 0 0 332
normalized size 1 1. 0.66 1.21 0. 0. 0. 0. 0.94
time (sec) N/A 0.808 0.955 0.027 0. 0. 0. 0. 71.374
Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 204 204 139 254 0 0 0 0 197
normalized size 1 1. 0.68 1.25 0. 0. 0. 0. 0.97
time (sec) N/A 0.557 0.602 0.025 0. 0. 0. 0. 45.675
Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 364 364 236 452 0 0 0 0 343
normalized size 1 1. 0.65 1.24 0. 0. 0. 0. 0.94
time (sec) N/A 0.832 0.985 0.029 0. 0. 0. 0. 71.153
Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 243 243 196 298 0 0 0 0 238
normalized size 1 1. 0.81 1.23 0. 0. 0. 0. 0.98
time (sec) N/A 0.672 0.347 0.042 0. 0. 0. 0. 53.929
Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 369 369 264 437 0 0 0 0 357
normalized size 1 1. 0.72 1.18 0. 0. 0. 0. 0.97
time (sec) N/A 0.836 1.011 0.042 0. 0. 0. 0. 71.596
Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 204 204 176 274 0 0 0 0 201
normalized size 1 1. 0.86 1.34 0. 0. 0. 0. 0.99
time (sec) N/A 0.557 0.305 0.025 0. 0. 0. 0. 44.137
Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 330 330 237 413 0 0 0 0 316
normalized size 1 1. 0.72 1.25 0. 0. 0. 0. 0.96
time (sec) N/A 0.717 1.631 0.025 0. 0. 0. 0. 60.063
Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 167 167 151 248 0 0 0 0 162
normalized size 1 1. 0.9 1.49 0. 0. 0. 0. 0.97
time (sec) N/A 0.474 0.281 0.021 0. 0. 0. 0. 35.916
Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 293 293 209 378 0 0 0 0 279
normalized size 1 1. 0.71 1.29 0. 0. 0. 0. 0.95
time (sec) N/A 0.6 1.613 0.023 0. 0. 0. 0. 49.445
Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 130 130 134 216 0 0 0 0 124
normalized size 1 1. 1.03 1.66 0. 0. 0. 0. 0.95
time (sec) N/A 0.361 0.153 0.024 0. 0. 0. 0. 27.834
Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 281 281 191 377 0 0 0 0 264
normalized size 1 1. 0.68 1.34 0. 0. 0. 0. 0.94
time (sec) N/A 0.61 0.345 0.027 0. 0. 0. 0. 50.054
Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 131 131 119 219 0 0 0 0 126
normalized size 1 1. 0.91 1.67 0. 0. 0. 0. 0.96
time (sec) N/A 0.37 0.402 0.026 0. 0. 0. 0. 28.233
Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 332 332 222 413 0 0 0 0 318
normalized size 1 1. 0.67 1.24 0. 0. 0. 0. 0.96
time (sec) N/A 0.73 0.442 0.029 0. 0. 0. 0. 61.002
Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 167 167 156 247 0 0 0 0 162
normalized size 1 1. 0.93 1.48 0. 0. 0. 0. 0.97
time (sec) N/A 0.469 0.275 0.027 0. 0. 0. 0. 36.665
Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 369 369 242 443 0 0 0 0 355
normalized size 1 1. 0.66 1.2 0. 0. 0. 0. 0.96
time (sec) N/A 0.85 0.47 0.029 0. 0. 0. 0. 72.674
Problem 256 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 204 204 181 274 0 0 0 0 201
normalized size 1 1. 0.89 1.34 0. 0. 0. 0. 0.99
time (sec) N/A 0.572 0.351 0.026 0. 0. 0. 0. 44.641
Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 251 251 189 281 0 0 0 0 240
normalized size 1 1. 0.75 1.12 0. 0. 0. 0. 0.96
time (sec) N/A 0.691 0.349 0.059 0. 0. 0. 0. 57.772
Problem 258 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 377 377 263 420 0 0 0 0 357
normalized size 1 1. 0.7 1.11 0. 0. 0. 0. 0.95
time (sec) N/A 0.871 1.121 0.054 0. 0. 0. 0. 75.596
Problem 259 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 214 214 165 255 0 0 0 0 202
normalized size 1 1. 0.77 1.19 0. 0. 0. 0. 0.94
time (sec) N/A 0.585 0.261 0.03 0. 0. 0. 0. 47.922
Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 340 340 240 394 0 0 0 0 320
normalized size 1 1. 0.71 1.16 0. 0. 0. 0. 0.94
time (sec) N/A 0.742 0.972 0.029 0. 0. 0. 0. 63.882
Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 178 178 142 230 0 0 0 0 165
normalized size 1 1. 0.8 1.29 0. 0. 0. 0. 0.93
time (sec) N/A 0.486 0.222 0.028 0. 0. 0. 0. 39.125
Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 299 299 213 388 0 0 0 0 272
normalized size 1 1. 0.71 1.3 0. 0. 0. 0. 0.91
time (sec) N/A 0.63 0.751 0.027 0. 0. 0. 0. 53.291
Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 137 132 222 0 0 0 0 126
normalized size 1 1. 0.96 1.62 0. 0. 0. 0. 0.92
time (sec) N/A 0.382 0.184 0.03 0. 0. 0. 0. 30.457
Problem 264 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 318 318 203 392 0 0 0 0 299
normalized size 1 1. 0.64 1.23 0. 0. 0. 0. 0.94
time (sec) N/A 0.738 0.442 0.03 0. 0. 0. 0. 61.982
Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 167 167 147 235 0 0 0 0 162
normalized size 1 1. 0.88 1.41 0. 0. 0. 0. 0.97
time (sec) N/A 0.464 0.194 0.032 0. 0. 0. 0. 37.173
Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 368 368 236 420 0 0 0 0 354
normalized size 1 1. 0.64 1.14 0. 0. 0. 0. 0.96
time (sec) N/A 0.851 0.426 0.032 0. 0. 0. 0. 72.537
Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 203 203 170 254 0 0 0 0 197
normalized size 1 1. 0.84 1.25 0. 0. 0. 0. 0.97
time (sec) N/A 0.569 0.257 0.038 0. 0. 0. 0. 45.845
Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 405 405 259 450 0 0 0 0 391
normalized size 1 1. 0.64 1.11 0. 0. 0. 0. 0.97
time (sec) N/A 0.977 0.519 0.033 0. 0. 0. 0. 85.198
Problem 269 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 96 96 90 474 0 514 2077 922 87
normalized size 1 1. 0.94 4.94 0. 5.35 21.64 9.6 0.91
time (sec) N/A 0.182 0.119 0.01 0. 0.231 14.226 0.228 26.657
Problem 270 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 71 71 67 262 0 293 1051 524 63
normalized size 1 1. 0.94 3.69 0. 4.13 14.8 7.38 0.89
time (sec) N/A 0.141 0.072 0.009 0. 0.227 6.376 0.221 22.214
Problem 271 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 45 45 43 110 0 127 415 234 37
normalized size 1 1. 0.96 2.44 0. 2.82 9.22 5.2 0.82
time (sec) N/A 0.078 0.059 0.005 0. 0.229 2.37 0.214 13.663
Problem 272 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 71 71 60 0 0 0 0 0 51
normalized size 1 1. 0.85 0. 0. 0. 0. 0. 0.72
time (sec) N/A 0.119 0.095 0.062 0. 0. 0. 0. 92.699
Problem 273 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 98 92 131 0 0 0 0 0 0
normalized size 1 0.94 1.34 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.165 0.3 0.06 0. 0. 0. 0. 0.
Problem 274 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 140 126 135 0 0 0 0 0 131
normalized size 1 0.9 0.96 0. 0. 0. 0. 0. 0.94
time (sec) N/A 0.266 0.139 0.111 0. 0. 0. 0. 36.999
Problem 275 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 95 95 63 0 151 189 0 0 80
normalized size 1 1. 0.66 0. 1.59 1.99 0. 0. 0.84
time (sec) N/A 0.277 0.126 0.247 1.46 0.245 0. 0. 26.715
Problem 276 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 113 113 267 0 0 0 0 0 105
normalized size 1 1. 2.36 0. 0. 0. 0. 0. 0.93
time (sec) N/A 0.438 0.89 1.957 0. 0. 0. 0. 41.679
Problem 277 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 129 129 580 0 0 0 0 0 124
normalized size 1 1. 4.5 0. 0. 0. 0. 0. 0.96
time (sec) N/A 0.606 2.006 0.124 0. 0. 0. 0. 46.583
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 19 19 19 16 20 20 17 23 17
normalized size 1 1. 1. 0.84 1.05 1.05 0.89 1.21 0.89
time (sec) N/A 0.054 0.009 0.007 1.511 0.207 0.109 0.224 8.286
Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 36 47 15 10 22 14
normalized size 1 1. 1. 2.4 3.13 1. 0.67 1.47 0.93
time (sec) N/A 0.049 0.008 0.014 1.516 0.224 0.131 0.211 7.58
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 17 17 17 14 18 18 14 22 17
normalized size 1 1. 1. 0.82 1.06 1.06 0.82 1.29 1.
time (sec) N/A 0.055 0.009 0.007 1.509 0.215 0.173 0.213 8.726
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 16 16 16 15 19 24 10 22 10
normalized size 1 1. 1. 0.94 1.19 1.5 0.62 1.38 0.62
time (sec) N/A 0.028 0.006 0.009 1.355 0.221 0.096 0.211 4.26
Problem 282 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 54 54 0 0 0 0 0 0 36
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.67
time (sec) N/A 0.094 0.259 0.104 0. 0. 0. 0. 10.455
Problem 283 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 18 18 18 0 50 58 0 74 15
normalized size 1 1. 1. 0. 2.78 3.22 0. 4.11 0.83
time (sec) N/A 0.089 0.122 0.354 1.859 0.237 0. 0.221 11.382
Problem 284 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 64 64 0 0 0 0 0 0 53
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.83
time (sec) N/A 0.197 0.096 0.086 0. 0. 0. 0. 23.066
Problem 285 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 195 195 0 0 0 0 0 0 160
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.82
time (sec) N/A 0.599 0.115 0.068 0. 0. 0. 0. 123.623
Problem 286 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 131 131 0 0 0 0 0 0 95
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.73
time (sec) N/A 0.278 0.095 0.05 0. 0. 0. 0. 47.728
Problem 287 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 101 101 0 0 0 0 0 0 66
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.65
time (sec) N/A 0.144 0.037 0.049 0. 0. 0. 0. 20.912
Problem 288 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 54 54 0 0 0 0 0 0 36
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.67
time (sec) N/A 0.106 0.064 0.056 0. 0. 0. 0. 14.178
Problem 289 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 84 84 0 0 0 0 0 0 56
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.67
time (sec) N/A 0.154 0.078 0.064 0. 0. 0. 0. 19.725
Problem 290 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 115 115 0 0 0 0 0 0 85
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.74
time (sec) N/A 0.233 0.099 0.07 0. 0. 0. 0. 33.183
Problem 291 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 207 207 0 0 0 0 0 0 168
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.81
time (sec) N/A 0.368 1.099 0.083 0. 0. 0. 0. 56.577
Problem 292 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 73 73 0 0 0 0 0 0 60
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.82
time (sec) N/A 0.191 0.102 0.081 0. 0. 0. 0. 23.555
Problem 293 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 202 202 0 0 0 0 0 0 155
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.77
time (sec) N/A 0.622 0.137 0.06 0. 0. 0. 0. 85.615
Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 150 150 0 0 0 0 0 0 107
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.71
time (sec) N/A 0.322 0.112 0.064 0. 0. 0. 0. 50.72
Problem 295 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 56 56 0 0 0 0 0 0 41
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.73
time (sec) N/A 0.09 0.042 0.06 0. 0. 0. 0. 12.098
Problem 296 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 105 105 0 0 0 0 0 0 73
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.7
time (sec) N/A 0.182 0.088 0.072 0. 0. 0. 0. 22.928
Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 133 133 0 0 0 0 0 0 102
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.77
time (sec) N/A 0.327 0.104 0.082 0. 0. 0. 0. 37.201
Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 217 217 0 0 0 0 0 0 178
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.82
time (sec) N/A 0.619 0.438 0.09 0. 0. 0. 0. 53.099

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 [207] had the largest ratio of [ 0.4231 ]

Table 1: Rubi specific breakdown of results for each integral
# grade
number of
steps
used
number of
unique
rules
normalized
antiderivative
leaf size
integrand
leaf size
\(\frac{\text{number of rules}}{\text{integrand leaf size}}\)
1 A 3 2 1. 22 0.091
2 A 4 3 1. 20 0.15
3 A 3 2 1. 19 0.105
4 A 4 3 1. 22 0.136
5 A 3 2 1. 22 0.091
6 A 4 3 1. 22 0.136
7 A 3 2 1. 22 0.091
8 A 4 3 1. 22 0.136
9 A 3 2 1. 22 0.091
10 A 4 3 1. 22 0.136
11 A 3 2 1. 22 0.091
12 A 3 2 1. 21 0.095
13 A 4 3 1. 24 0.125
14 A 3 2 1. 24 0.083
15 A 4 3 1. 24 0.125
16 A 3 2 1. 24 0.083
17 A 5 4 1. 24 0.167
18 A 3 2 1. 24 0.083
19 A 4 3 1. 24 0.125
20 A 3 2 1. 24 0.083
21 A 4 3 1. 24 0.125
22 A 3 2 1. 24 0.083
23 A 4 3 1. 24 0.125
24 A 3 2 1. 24 0.083
25 A 3 2 1. 24 0.083
26 A 4 3 1. 24 0.125
27 A 3 2 1. 24 0.083
28 A 4 3 1. 24 0.125
29 A 3 2 1. 24 0.083
30 A 5 4 1. 24 0.167
31 A 3 2 1. 24 0.083
32 A 4 3 1. 24 0.125
33 A 3 2 1. 24 0.083
34 A 4 3 1. 24 0.125
35 A 3 2 1. 24 0.083
36 A 4 3 1. 24 0.125
37 A 3 2 1. 24 0.083
38 A 5 4 1. 24 0.167
39 A 3 2 1. 24 0.083
40 A 4 4 1. 24 0.167
41 A 5 4 1. 24 0.167
42 A 4 3 1. 24 0.125
43 A 5 4 1. 24 0.167
44 A 4 3 1. 24 0.125
45 A 5 4 1. 24 0.167
46 A 4 3 1. 24 0.125
47 A 4 4 1. 24 0.167
48 A 4 3 1. 24 0.125
49 A 3 3 1. 24 0.125
50 A 4 3 1. 22 0.136
51 A 3 3 1. 21 0.143
52 A 3 3 1. 22 0.136
53 A 4 3 1. 24 0.125
54 A 4 4 1. 24 0.167
55 A 4 3 1. 24 0.125
56 A 5 4 1. 24 0.167
57 A 4 3 1. 24 0.125
58 A 5 4 1. 24 0.167
59 A 4 3 1. 24 0.125
60 A 5 4 1. 24 0.167
61 A 4 3 1. 24 0.125
62 A 5 4 1. 24 0.167
63 A 4 3 1. 24 0.125
64 A 4 4 1. 24 0.167
65 A 4 3 1. 24 0.125
66 A 3 3 1. 24 0.125
67 A 4 3 1. 24 0.125
68 A 4 4 1. 24 0.167
69 A 4 3 1. 22 0.136
70 A 5 4 1. 21 0.19
71 A 4 3 1. 24 0.125
72 A 5 4 1. 24 0.167
73 A 6 5 1. 24 0.208
74 A 4 3 1. 24 0.125
75 A 6 5 1. 24 0.208
76 A 4 3 1. 24 0.125
77 A 5 5 1. 24 0.208
78 A 4 3 1. 24 0.125
79 A 4 4 1. 24 0.167
80 A 3 3 1. 24 0.125
81 A 4 4 1. 24 0.167
82 A 4 3 1. 24 0.125
83 A 5 4 1. 24 0.167
84 A 4 3 1. 24 0.125
85 A 6 5 1. 24 0.208
86 A 4 3 1. 22 0.136
87 A 6 5 1. 21 0.238
88 A 4 3 1. 24 0.125
89 A 8 7 1. 26 0.269
90 A 7 7 1. 26 0.269
91 A 5 5 1. 26 0.192
92 A 5 5 1. 24 0.208
93 A 5 5 1. 26 0.192
94 A 5 5 1. 26 0.192
95 A 5 5 1. 26 0.192
96 A 3 3 1. 26 0.115
97 A 4 4 1. 26 0.154
98 A 5 4 1. 26 0.154
99 A 6 4 1. 26 0.154
100 A 4 3 1. 26 0.115
101 A 3 3 1. 26 0.115
102 A 2 2 1. 23 0.087
103 A 4 4 1. 26 0.154
104 A 4 4 1. 26 0.154
105 A 4 4 1. 26 0.154
106 A 8 7 1. 26 0.269
107 A 6 5 1. 26 0.192
108 A 6 5 1. 24 0.208
109 A 6 6 1. 26 0.231
110 A 6 6 1. 26 0.231
111 A 6 5 1. 26 0.192
112 A 6 6 1. 26 0.231
113 A 6 5 1. 26 0.192
114 A 3 3 1. 26 0.115
115 A 4 4 1. 26 0.154
116 A 5 4 1. 26 0.154
117 A 6 4 1. 26 0.154
118 A 7 4 1. 26 0.154
119 A 5 4 1. 26 0.154
120 A 4 4 1. 26 0.154
121 A 3 3 1. 23 0.13
122 A 2 2 1. 26 0.077
123 A 5 4 1. 26 0.154
124 A 5 4 1. 26 0.154
125 A 5 5 1. 26 0.192
126 A 5 4 1. 26 0.154
127 A 6 5 1. 26 0.192
128 A 7 5 1. 26 0.192
129 A 8 5 1. 26 0.192
130 A 7 6 1. 26 0.231
131 A 6 6 1. 26 0.231
132 A 4 4 1. 26 0.154
133 A 4 4 1. 24 0.167
134 A 4 4 1. 26 0.154
135 A 3 3 1. 26 0.115
136 A 4 4 1. 26 0.154
137 A 5 4 1. 26 0.154
138 A 6 4 1. 26 0.154
139 A 4 3 1. 26 0.115
140 A 3 3 1. 26 0.115
141 A 2 2 1. 26 0.077
142 A 3 3 1. 23 0.13
143 A 3 3 1. 26 0.115
144 A 4 4 1. 26 0.154
145 A 7 6 1. 26 0.231
146 A 6 6 1. 26 0.231
147 A 5 5 1. 26 0.192
148 A 4 4 1. 26 0.154
149 A 2 2 1. 24 0.083
150 A 3 3 1. 26 0.115
151 A 4 4 1. 26 0.154
152 A 5 4 1. 26 0.154
153 A 4 3 1. 26 0.115
154 A 3 3 1. 26 0.115
155 A 2 2 1. 26 0.077
156 A 3 3 1. 26 0.115
157 A 5 5 1. 23 0.217
158 A 5 5 1. 26 0.192
159 A 3 2 1. 24 0.083
160 A 3 2 1. 24 0.083
161 A 3 2 1. 24 0.083
162 A 3 2 1. 24 0.083
163 A 3 2 1. 24 0.083
164 A 3 2 1. 24 0.083
165 A 3 2 1. 24 0.083
166 A 3 2 1. 24 0.083
167 A 3 2 1. 26 0.077
168 A 3 2 1. 26 0.077
169 A 3 2 1. 26 0.077
170 A 3 2 1. 26 0.077
171 A 3 2 1. 26 0.077
172 A 3 2 1. 26 0.077
173 A 3 2 1. 26 0.077
174 A 3 2 1. 26 0.077
175 A 3 2 1. 26 0.077
176 A 3 2 1. 26 0.077
177 A 3 2 1. 26 0.077
178 A 3 2 1. 26 0.077
179 A 3 2 1. 26 0.077
180 A 3 2 1. 26 0.077
181 A 3 2 1. 26 0.077
182 A 3 2 1. 26 0.077
183 A 14 10 1. 26 0.385
184 A 14 10 1. 26 0.385
185 A 13 10 1. 26 0.385
186 A 13 10 1. 26 0.385
187 A 12 9 1. 26 0.346
188 A 12 9 1. 26 0.346
189 A 12 9 1. 26 0.346
190 A 12 9 1. 26 0.346
191 A 13 10 1. 26 0.385
192 A 13 10 1. 26 0.385
193 A 14 10 1. 26 0.385
194 A 14 10 1. 26 0.385
195 A 15 10 1. 26 0.385
196 A 14 10 1. 26 0.385
197 A 14 10 1. 26 0.385
198 A 13 10 1. 26 0.385
199 A 13 10 1. 26 0.385
200 A 12 9 1. 26 0.346
201 A 12 9 1. 26 0.346
202 A 13 10 1. 26 0.385
203 A 13 10 1. 26 0.385
204 A 14 10 1. 26 0.385
205 A 14 10 1. 26 0.385
206 A 15 10 1. 26 0.385
207 A 15 11 1. 26 0.423
208 A 14 11 1. 26 0.423
209 A 14 11 1. 26 0.423
210 A 13 10 1. 26 0.385
211 A 13 10 1. 26 0.385
212 A 13 10 1. 26 0.385
213 A 13 10 1. 26 0.385
214 A 14 11 1. 26 0.423
215 A 14 11 1. 26 0.423
216 A 15 11 1. 26 0.423
217 A 15 11 1. 26 0.423
218 A 16 11 1. 26 0.423
219 A 16 11 1. 26 0.423
220 A 7 6 1. 28 0.214
221 A 8 8 1. 28 0.286
222 A 6 6 1. 28 0.214
223 A 7 7 1. 28 0.25
224 A 5 5 1. 28 0.179
225 A 7 7 1. 28 0.25
226 A 5 5 1. 28 0.179
227 A 7 7 1. 28 0.25
228 A 5 5 1. 28 0.179
229 A 8 8 1. 28 0.286
230 A 6 6 1. 28 0.214
231 A 11 8 1. 28 0.286
232 A 9 6 1. 28 0.214
233 A 10 8 1. 28 0.286
234 A 8 6 1. 28 0.214
235 A 9 8 1. 28 0.286
236 A 7 6 1. 28 0.214
237 A 8 7 1. 28 0.25
238 A 6 5 1. 28 0.179
239 A 8 7 1. 28 0.25
240 A 6 5 1. 28 0.179
241 A 8 8 1. 28 0.286
242 A 6 6 1. 28 0.214
243 A 8 7 1. 28 0.25
244 A 7 5 1. 28 0.179
245 A 8 7 1. 28 0.25
246 A 6 5 1. 28 0.179
247 A 7 7 1. 28 0.25
248 A 5 5 1. 28 0.179
249 A 6 6 1. 28 0.214
250 A 4 4 1. 28 0.143
251 A 6 6 1. 28 0.214
252 A 4 4 1. 28 0.143
253 A 7 7 1. 28 0.25
254 A 5 5 1. 28 0.179
255 A 8 7 1. 28 0.25
256 A 6 5 1. 28 0.179
257 A 7 5 1. 28 0.179
258 A 8 7 1. 28 0.25
259 A 6 5 1. 28 0.179
260 A 7 7 1. 28 0.25
261 A 5 5 1. 28 0.179
262 A 6 6 1. 28 0.214
263 A 4 4 1. 28 0.143
264 A 7 7 1. 28 0.25
265 A 5 5 1. 28 0.179
266 A 8 8 1. 28 0.286
267 A 6 6 1. 28 0.214
268 A 9 8 1. 28 0.286
269 A 3 2 1. 24 0.083
270 A 3 2 1. 24 0.083
271 A 3 2 1. 22 0.091
272 A 3 3 1. 24 0.125
273 A 3 3 0.94 24 0.125
274 A 4 4 0.9 24 0.167
275 A 2 2 1. 32 0.062
276 A 4 3 1. 30 0.1
277 A 4 3 1. 34 0.088
278 A 4 3 1. 19 0.158
279 A 4 3 1. 15 0.2
280 A 4 3 1. 19 0.158
281 A 3 2 1. 17 0.118
282 A 4 3 1. 25 0.12
283 A 2 2 1. 39 0.051
284 A 4 4 1. 20 0.2
285 A 7 7 1. 20 0.35
286 A 6 6 1. 18 0.333
287 A 5 5 1. 17 0.294
288 A 3 3 1. 20 0.15
289 A 4 4 1. 20 0.2
290 A 5 4 1. 20 0.2
291 A 5 4 1. 20 0.2
292 A 4 4 1. 20 0.2
293 A 7 7 1. 20 0.35
294 A 6 6 1. 18 0.333
295 A 3 3 1. 17 0.176
296 A 4 4 1. 20 0.2
297 A 5 5 1. 20 0.25
298 A 5 5 1. 20 0.25

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