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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 12 12 12 10 12 12 8 12 8
normalized size 1 1. 1. 0.83 1. 1. 0.67 1. 0.67
time (sec) N/A 0.033 0.003 0.003 0.759 0.254 0.13 0.226 6.918
Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 12 15 15 8 16 8
normalized size 1 1. 1. 1. 1.25 1.25 0.67 1.33 0.67
time (sec) N/A 0.034 0.003 0.003 0.795 0.296 0.201 0.235 6.938
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 24 24 24 23 30 30 19 31 17
normalized size 1 1. 1. 0.96 1.25 1.25 0.79 1.29 0.71
time (sec) N/A 0.112 0.007 0.004 0.783 0.247 0.33 0.222 8.98
Problem 4 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 19 24 24 14 26 14
normalized size 1 1. 1. 1. 1.26 1.26 0.74 1.37 0.74
time (sec) N/A 0.059 0.003 0.003 0.809 0.262 0.253 0.23 9.043
Problem 5 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 20 20 19 20 0 30 56 26 14
normalized size 1 1. 0.95 1. 0. 1.5 2.8 1.3 0.7
time (sec) N/A 0.037 0.022 0.002 0. 0.248 2.768 0.234 6.265
Problem 6 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 32 32 31 31 0 49 114 41 22
normalized size 1 1. 0.97 0.97 0. 1.53 3.56 1.28 0.69
time (sec) N/A 0.114 0.044 0.006 0. 0.254 164.253 0.228 8.515
Problem 7 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 27 27 26 27 0 45 0 35 19
normalized size 1 1. 0.96 1. 0. 1.67 0. 1.3 0.7
time (sec) N/A 0.062 0.03 0.003 0. 0.247 0. 0.227 8.323
Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 16 17 22 22 12 23 12
normalized size 1 1. 1. 1.06 1.38 1.38 0.75 1.44 0.75
time (sec) N/A 0.036 0.005 0.003 0.869 0.268 0.243 0.233 11.105
Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 28 28 28 33 38 38 24 41 20
normalized size 1 1. 1. 1.18 1.36 1.36 0.86 1.46 0.71
time (sec) N/A 0.113 0.008 0.016 0.966 0.282 1.332 0.227 13.347
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 23 23 23 24 31 31 17 32 17
normalized size 1 1. 1. 1.04 1.35 1.35 0.74 1.39 0.74
time (sec) N/A 0.059 0.004 0.001 0.894 0.264 0.287 0.222 13.265
Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 24 25 0 38 82 32 17
normalized size 1 1. 1. 1.04 0. 1.58 3.42 1.33 0.71
time (sec) N/A 0.041 0.028 0.003 0. 0.314 3.751 0.228 7.525
Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 36 36 35 81 0 68 0 0 26
normalized size 1 1. 0.97 2.25 0. 1.89 0. 0. 0.72
time (sec) N/A 0.122 0.056 0.034 0. 0.265 0. 0. 9.566
Problem 13 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 31 31 30 32 0 53 0 42 22
normalized size 1 1. 0.97 1.03 0. 1.71 0. 1.35 0.71
time (sec) N/A 0.063 0.039 0.003 0. 0.249 0. 0.228 9.231
Problem 14 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 25 25 24 25 0 39 80 32 0
normalized size 1 1. 0.96 1. 0. 1.56 3.2 1.28 0.
time (sec) N/A 0.065 0.064 0.004 0. 0.317 7.358 0.227 0.
Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 36 52 0 39 0 32 0
normalized size 1 1. 0.97 1.41 0. 1.05 0. 0.86 0.
time (sec) N/A 0.096 0.049 0.022 0. 0.261 0. 0.231 0.
Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F(-1) A F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 41 41 0 42 0 72 0 58 0
normalized size 1 1. 0. 1.02 0. 1.76 0. 1.41 0.
time (sec) N/A 0.115 0.305 0.013 0. 0.252 0. 0.245 0.
Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F(-1) F F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 80 80 0 0 0 119 0 0 0
normalized size 1 1. 0. 0. 0. 1.49 0. 0. 0.
time (sec) N/A 0.232 0.28 1.185 0. 0.305 0. 0. 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 22 22 22 21 27 26 20 28 0
normalized size 1 1. 1. 0.95 1.23 1.18 0.91 1.27 0.
time (sec) N/A 0.054 0.011 0.006 0.766 0.245 0.259 0.23 0.
Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 24 26 38 42 24 35 22
normalized size 1 1. 0.89 0.96 1.41 1.56 0.89 1.3 0.81
time (sec) N/A 0.06 0.023 0.01 0.778 0.258 0.274 0.255 10.058
Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 24 29 82 47 37 27 15
normalized size 1 1. 1.14 1.38 3.9 2.24 1.76 1.29 0.71
time (sec) N/A 0.041 0.016 0.01 0.766 0.265 0.249 0.323 6.899
Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 24 29 115 63 51 27 29
normalized size 1 1. 0.71 0.85 3.38 1.85 1.5 0.79 0.85
time (sec) N/A 0.063 0.016 0.009 0.813 0.254 0.309 0.322 10.22
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 31 31 28 26 34 32 29 35 0
normalized size 1 1. 0.9 0.84 1.1 1.03 0.94 1.13 0.
time (sec) N/A 0.061 0.015 0.006 0.777 0.25 0.284 0.248 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 37 37 31 32 46 51 32 43 29
normalized size 1 1. 0.84 0.86 1.24 1.38 0.86 1.16 0.78
time (sec) N/A 0.066 0.026 0.009 0.813 0.264 0.279 0.244 10.596
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 23 23 28 33 90 53 41 32 17
normalized size 1 1. 1.22 1.43 3.91 2.3 1.78 1.39 0.74
time (sec) N/A 0.047 0.016 0.009 0.783 0.242 0.26 0.264 7.453
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 38 38 28 33 123 69 54 32 32
normalized size 1 1. 0.74 0.87 3.24 1.82 1.42 0.84 0.84
time (sec) N/A 0.069 0.017 0.007 0.781 0.25 0.314 0.251 11.186
Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 42 42 31 27 43 34 0 39 37
normalized size 1 1. 0.74 0.64 1.02 0.81 0. 0.93 0.88
time (sec) N/A 0.079 0.029 0.026 0.771 0.268 0. 0.289 10.716
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 16 16 16 24 20 28 15 20 17
normalized size 1 1. 1. 1.5 1.25 1.75 0.94 1.25 1.06
time (sec) N/A 0.035 0.01 0.013 0.78 0.278 0.186 0.244 6.067
Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 32 39 41 46 39 41 0
normalized size 1 1. 1. 1.22 1.28 1.44 1.22 1.28 0.
time (sec) N/A 0.065 0.021 0.01 0.798 0.238 0.299 0.236 0.
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 52 52 48 57 63 65 73 63 0
normalized size 1 1. 0.92 1.1 1.21 1.25 1.4 1.21 0.
time (sec) N/A 0.081 0.026 0.01 0.806 0.245 0.376 0.224 0.
Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 34 47 43 53 49 51 39
normalized size 1 1. 0.85 1.18 1.08 1.32 1.22 1.27 0.98
time (sec) N/A 0.081 0.02 0.015 0.768 0.278 0.368 0.246 14.795
Problem 31 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 61 61 47 67 77 113 78 80 60
normalized size 1 1. 0.77 1.1 1.26 1.85 1.28 1.31 0.98
time (sec) N/A 0.103 0.055 0.019 0.779 0.263 0.45 0.245 16.736
Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 83 83 66 86 115 189 114 103 80
normalized size 1 1. 0.8 1.04 1.39 2.28 1.37 1.24 0.96
time (sec) N/A 0.128 0.136 0.018 0.806 0.263 0.554 0.27 20.444
Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 50 91 100 1 51 0 46
normalized size 1 1. 1. 1.82 2. 0.02 1.02 0. 0.92
time (sec) N/A 0.13 0.03 0.076 0.93 0.244 2.944 0. 19.064
Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 34 47 43 43 42 50 26
normalized size 1 1. 1. 1.38 1.26 1.26 1.24 1.47 0.76
time (sec) N/A 0.131 0.012 0.017 0.975 0.245 2.301 0.24 15.657
Problem 35 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 88 88 67 171 171 1 253 104 66
normalized size 1 1. 0.76 1.94 1.94 0.01 2.88 1.18 0.75
time (sec) N/A 0.128 0.074 0.108 0.959 0.264 3.675 0.24 23.415
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 61 61 48 76 112 72 218 89 0
normalized size 1 1. 0.79 1.25 1.84 1.18 3.57 1.46 0.
time (sec) N/A 0.107 0.035 0.024 0.794 0.258 2.854 0.243 0.
Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 127 127 86 212 211 1 366 165 0
normalized size 1 1. 0.68 1.67 1.66 0.01 2.88 1.3 0.
time (sec) N/A 0.156 0.097 0.096 0.879 0.257 4.251 0.237 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 4 4 4 4 4 4 15 4 3
normalized size 1 1. 1. 1. 1. 1. 3.75 1. 0.75
time (sec) N/A 0.028 0.026 0.005 0.962 0.234 0.188 0.235 5.366
Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 4 4 23 4 20 20 15 22 3
normalized size 1 1. 5.75 1. 5. 5. 3.75 5.5 0.75
time (sec) N/A 0.031 0.006 0.003 0.781 0.236 0.182 0.249 7.605
Problem 40 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 27 27 38 34 42 42 0 0 20
normalized size 1 1. 1.41 1.26 1.56 1.56 0. 0. 0.74
time (sec) N/A 0.088 0.023 0.012 0.833 0.252 0. 0. 17.61
Problem 41 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 40 40 60 51 65 65 0 0 34
normalized size 1 1. 1.5 1.27 1.62 1.62 0. 0. 0.85
time (sec) N/A 0.152 0.025 0.01 0.802 0.256 0. 0. 22.204
Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 69 69 84 74 96 96 0 0 66
normalized size 1 1. 1.22 1.07 1.39 1.39 0. 0. 0.96
time (sec) N/A 0.19 0.027 0.01 0.817 0.26 0. 0. 25.315
Problem 43 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 30 30 30 53 0 1 24 28 27
normalized size 1 1. 1. 1.77 0. 0.03 0.8 0.93 0.9
time (sec) N/A 0.066 0.012 0.04 0. 0.258 0.416 0.243 13.063
Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 110 110 108 134 0 240 0 0 102
normalized size 1 1. 0.98 1.22 0. 2.18 0. 0. 0.93
time (sec) N/A 0.188 0.061 0.038 0. 0.263 0. 0. 39.039
Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 184 184 168 0 0 338 0 0 173
normalized size 1 1. 0.91 0. 0. 1.84 0. 0. 0.94
time (sec) N/A 0.308 0.045 0.031 0. 0.274 0. 0. 87.866
Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 268 268 224 0 0 433 0 0 264
normalized size 1 1. 0.84 0. 0. 1.62 0. 0. 0.99
time (sec) N/A 0.404 0.048 0.033 0. 0.26 0. 0. 102.86
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 59 59 53 82 0 1 53 66 48
normalized size 1 1. 0.9 1.39 0. 0.02 0.9 1.12 0.81
time (sec) N/A 0.074 0.078 0.046 0. 0.267 0.536 0.239 10.519
Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 172 172 271 195 0 509 0 0 156
normalized size 1 1. 1.58 1.13 0. 2.96 0. 0. 0.91
time (sec) N/A 0.272 0.154 0.052 0. 0.267 0. 0. 47.164
Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 333 333 477 0 0 624 0 0 0
normalized size 1 1. 1.43 0. 0. 1.87 0. 0. 0.
time (sec) N/A 0.637 0.165 0.101 0. 0.268 0. 0. 0.
Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 501 501 434 0 0 852 0 0 0
normalized size 1 1. 0.87 0. 0. 1.7 0. 0. 0.
time (sec) N/A 0.909 0.42 0.105 0. 0.261 0. 0. 0.
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 84 84 68 94 0 1 85 82 73
normalized size 1 1. 0.81 1.12 0. 0.01 1.01 0.98 0.87
time (sec) N/A 0.098 0.085 0.061 0. 0.272 0.689 0.235 13.397
Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 223 223 184 223 0 756 0 0 209
normalized size 1 1. 0.83 1. 0. 3.39 0. 0. 0.94
time (sec) N/A 0.38 0.434 0.058 0. 0.263 0. 0. 65.153
Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 420 420 353 0 0 1161 0 0 0
normalized size 1 1. 0.84 0. 0. 2.76 0. 0. 0.
time (sec) N/A 0.994 0.75 0.115 0. 0.268 0. 0. 0.
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 30 30 30 22 0 1 26 28 29
normalized size 1 1. 1. 0.73 0. 0.03 0.87 0.93 0.97
time (sec) N/A 0.042 0.012 0.004 0. 0.238 0.402 0.237 15.384
Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 110 110 108 134 0 240 0 0 102
normalized size 1 1. 0.98 1.22 0. 2.18 0. 0. 0.93
time (sec) N/A 0.159 0.061 0.037 0. 0.25 0. 0. 35.722
Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 184 184 168 0 0 338 0 0 173
normalized size 1 1. 0.91 0. 0. 1.84 0. 0. 0.94
time (sec) N/A 0.298 0.044 0.027 0. 0.252 0. 0. 84.399
Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 268 268 224 0 0 433 0 0 264
normalized size 1 1. 0.84 0. 0. 1.62 0. 0. 0.99
time (sec) N/A 0.398 0.052 0.03 0. 0.256 0. 0. 102.562
Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 23 21 31 28 22 27 15
normalized size 1 1. 1.05 0.95 1.41 1.27 1. 1.23 0.68
time (sec) N/A 0.035 0.021 0.004 0.753 0.252 0.227 0.236 8.543
Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 48 56 73 82 54 0 54
normalized size 1 1. 0.76 0.89 1.16 1.3 0.86 0. 0.86
time (sec) N/A 0.132 0.051 0.025 0.75 0.288 0.425 0. 18.898
Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 98 98 90 91 117 304 0 0 63
normalized size 1 1. 0.92 0.93 1.19 3.1 0. 0. 0.64
time (sec) N/A 0.268 0.074 0.04 0.787 0.293 0. 0. 27.763
Problem 61 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 128 128 124 119 149 425 0 0 94
normalized size 1 1. 0.97 0.93 1.16 3.32 0. 0. 0.73
time (sec) N/A 0.356 0.099 0.049 0.793 0.256 0. 0. 35.5
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 87 87 70 78 0 1 87 89 73
normalized size 1 1. 0.8 0.9 0. 0.01 1. 1.02 0.84
time (sec) N/A 0.096 0.084 0.014 0. 0.261 0.653 0.257 17.162
Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F(-2) A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 196 196 209 209 0 564 0 0 0
normalized size 1 1. 1.07 1.07 0. 2.88 0. 0. 0.
time (sec) N/A 0.836 0.295 0.053 0. 0.348 0. 0. 0.
Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 316 316 254 0 0 1010 0 0 0
normalized size 1 1. 0.8 0. 0. 3.2 0. 0. 0.
time (sec) N/A 1.919 0.747 0.116 0. 0.316 0. 0. 0.
Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F A A F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 93 0 122 167 0 177 0
normalized size 1 1. 0.98 0. 1.28 1.76 0. 1.86 0.
time (sec) N/A 0.297 0.079 0.04 0.784 0.27 0. 0.289 0.
Problem 66 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 106 106 106 0 0 0 0 0 75
normalized size 1 1. 1. 0. 0. 0. 0. 0. 0.71
time (sec) N/A 0.178 0.164 0.127 0. 0. 0. 0. 8.967
Problem 67 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 75 75 75 0 0 0 0 0 60
normalized size 1 1. 1. 0. 0. 0. 0. 0. 0.8
time (sec) N/A 0.214 0.088 0.033 0. 0. 0. 0. 35.77
Problem 68 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 85 85 84 0 0 0 0 0 66
normalized size 1 1. 0.99 0. 0. 0. 0. 0. 0.78
time (sec) N/A 0.225 0.089 0.045 0. 0. 0. 0. 38.813
Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 46 140 51 54 0 0 46
normalized size 1 1. 1. 3.04 1.11 1.17 0. 0. 1.
time (sec) N/A 0.042 0.026 0.046 0.845 0.257 0. 0. 3.316
Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 77 76 124 101 95 107 26
normalized size 1 1. 3.21 3.17 5.17 4.21 3.96 4.46 1.08
time (sec) N/A 0.043 0.021 0.016 0.759 0.319 0.323 0.241 3.575
Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 65 64 104 85 82 90 24
normalized size 1 1. 2.71 2.67 4.33 3.54 3.42 3.75 1.
time (sec) N/A 0.042 0.018 0.012 0.832 0.263 0.3 0.254 3.682
Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 86 53 52 84 69 68 74 82
normalized size 1 1. 0.62 0.6 0.98 0.8 0.79 0.86 0.95
time (sec) N/A 0.152 0.016 0.012 0.817 0.237 0.267 0.29 15.167
Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 62 62 41 40 63 53 54 58 54
normalized size 1 1. 0.66 0.65 1.02 0.85 0.87 0.94 0.87
time (sec) N/A 0.104 0.014 0.01 0.775 0.244 0.239 0.248 9.926
Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 29 28 43 36 41 932 36
normalized size 1 1. 0.66 0.64 0.98 0.82 0.93 21.18 0.82
time (sec) N/A 0.063 0.011 0.006 0.785 0.252 0.211 0.255 5.741
Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 20 19 24 24 24 24 14
normalized size 1 1. 1. 0.95 1.2 1.2 1.2 1.2 0.7
time (sec) N/A 0.024 0.004 0.003 0.762 0.236 0.18 0.229 2.551
Problem 76 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 15 15 15 16 18 18 0 0 14
normalized size 1 1. 1. 1.07 1.2 1.2 0. 0. 0.93
time (sec) N/A 0.036 0.004 0.014 0.833 0.236 0. 0. 3.028
Problem 77 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 35 35 32 35 24 47 0 0 32
normalized size 1 1. 0.91 1. 0.69 1.34 0. 0. 0.91
time (sec) N/A 0.071 0.016 0.026 0.836 0.249 0. 0. 5.294
Problem 78 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 58 58 48 57 30 65 0 0 54
normalized size 1 1. 0.83 0.98 0.52 1.12 0. 0. 0.93
time (sec) N/A 0.11 0.031 0.032 0.907 0.237 0. 0. 8.425
Problem 79 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 81 81 59 79 30 80 0 0 76
normalized size 1 1. 0.73 0.98 0.37 0.99 0. 0. 0.94
time (sec) N/A 0.147 0.039 0.039 0.952 0.27 0. 0. 12.099
Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 71 101 30 96 0 0 27
normalized size 1 1. 2.96 4.21 1.25 4. 0. 0. 1.12
time (sec) N/A 0.038 0.048 0.048 0.825 0.256 0. 0. 3.609
Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 83 123 30 112 0 0 26
normalized size 1 1. 3.46 5.12 1.25 4.67 0. 0. 1.08
time (sec) N/A 0.039 0.054 0.053 0.858 0.254 0. 0. 3.606
Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 119 164 171 153 0 159 36
normalized size 1 1. 3.5 4.82 5.03 4.5 0. 4.68 1.06
time (sec) N/A 0.04 0.082 0.118 0.795 0.256 0. 0.253 3.147
Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 107 142 151 136 0 143 36
normalized size 1 1. 3.15 4.18 4.44 4. 0. 4.21 1.06
time (sec) N/A 0.039 0.071 0.044 0.78 0.25 0. 0.247 3.151
Problem 84 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 128 128 95 120 131 120 0 127 126
normalized size 1 1. 0.74 0.94 1.02 0.94 0. 0.99 0.98
time (sec) N/A 0.239 0.058 0.038 0.81 0.255 0. 0.23 23.115
Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 105 105 83 98 111 104 0 111 102
normalized size 1 1. 0.79 0.93 1.06 0.99 0. 1.06 0.97
time (sec) N/A 0.153 0.05 0.033 0.814 0.251 0. 0.232 16.376
Problem 86 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 82 82 71 76 90 88 0 95 78
normalized size 1 1. 0.87 0.93 1.1 1.07 0. 1.16 0.95
time (sec) N/A 0.105 0.043 0.03 0.781 0.282 0. 0.251 10.607
Problem 87 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 59 59 59 54 72 73 0 80 53
normalized size 1 1. 1. 0.92 1.22 1.24 0. 1.36 0.9
time (sec) N/A 0.06 0.034 0.026 0.767 0.277 0. 0.23 5.888
Problem 88 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 26 34 34 0 38 36
normalized size 1 1. 1. 0.7 0.92 0.92 0. 1.03 0.97
time (sec) N/A 0.018 0.006 0.019 0.779 0.251 0. 0.249 2.031
Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 49 44 38 69 0 0 44
normalized size 1 1. 1. 0.9 0.78 1.41 0. 0. 0.9
time (sec) N/A 0.057 0.023 0.026 0.822 0.258 0. 0. 5.259
Problem 90 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 73 73 62 67 38 93 0 0 70
normalized size 1 1. 0.85 0.92 0.52 1.27 0. 0. 0.96
time (sec) N/A 0.096 0.066 0.035 0.82 0.263 0. 0. 8.601
Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 96 96 77 89 38 109 0 0 94
normalized size 1 1. 0.8 0.93 0.4 1.14 0. 0. 0.98
time (sec) N/A 0.141 0.054 0.039 0.849 0.258 0. 0. 12.684
Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 119 119 89 111 38 126 0 0 117
normalized size 1 1. 0.75 0.93 0.32 1.06 0. 0. 0.98
time (sec) N/A 0.184 0.064 0.047 0.823 0.269 0. 0. 17.615
Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 101 133 38 142 0 0 37
normalized size 1 1. 2.97 3.91 1.12 4.18 0. 0. 1.09
time (sec) N/A 0.037 0.076 0.054 0.829 0.252 0. 0. 3.306
Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 113 155 38 158 0 0 37
normalized size 1 1. 3.32 4.56 1.12 4.65 0. 0. 1.09
time (sec) N/A 0.037 0.086 0.063 0.916 0.261 0. 0. 3.302
Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 46 140 51 54 0 0 46
normalized size 1 1. 1. 3.04 1.11 1.17 0. 0. 1.
time (sec) N/A 0.04 0.026 0.048 0.884 0.26 0. 0. 3.516
Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 77 76 124 101 95 0 26
normalized size 1 1. 3.21 3.17 5.17 4.21 3.96 0. 1.08
time (sec) N/A 0.039 0.021 0.019 0.799 0.269 0.337 0. 3.798
Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 65 64 104 85 82 162 24
normalized size 1 1. 2.71 2.67 4.33 3.54 3.42 6.75 1.
time (sec) N/A 0.039 0.018 0.016 0.801 0.253 0.31 0.239 3.781
Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 84 84 53 52 84 69 68 128 78
normalized size 1 1. 0.63 0.62 1. 0.82 0.81 1.52 0.93
time (sec) N/A 0.154 0.016 0.014 0.973 0.271 0.285 0.232 16.003
Problem 99 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 41 40 63 53 54 95 61
normalized size 1 1. 0.61 0.6 0.94 0.79 0.81 1.42 0.91
time (sec) N/A 0.113 0.014 0.011 0.79 0.28 0.254 0.229 11.29
Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 29 28 43 36 41 932 36
normalized size 1 1. 0.66 0.64 0.98 0.82 0.93 21.18 0.82
time (sec) N/A 0.074 0.011 0.007 0.83 0.318 0.22 0.26 6.545
Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 20 19 24 24 24 24 14
normalized size 1 1. 1. 0.95 1.2 1.2 1.2 1.2 0.7
time (sec) N/A 0.036 0.005 0.004 0.814 0.308 0.19 0.224 3.462
Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 41 18 18 0 0 14
normalized size 1 1. 1. 2.73 1.2 1.2 0. 0. 0.93
time (sec) N/A 0.034 0.005 0.022 0.958 0.27 0. 0. 3.06
Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 32 97 24 47 0 0 32
normalized size 1 1. 0.91 2.77 0.69 1.34 0. 0. 0.91
time (sec) N/A 0.068 0.016 0.033 0.845 0.256 0. 0. 5.539
Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 58 58 48 141 30 65 0 0 54
normalized size 1 1. 0.83 2.43 0.52 1.12 0. 0. 0.93
time (sec) N/A 0.104 0.031 0.046 0.883 0.26 0. 0. 8.479
Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 81 81 59 177 30 80 0 0 76
normalized size 1 1. 0.73 2.19 0.37 0.99 0. 0. 0.94
time (sec) N/A 0.144 0.039 0.056 0.851 0.255 0. 0. 12.029
Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 71 213 30 96 0 0 27
normalized size 1 1. 2.96 8.88 1.25 4. 0. 0. 1.12
time (sec) N/A 0.038 0.047 0.073 0.831 0.266 0. 0. 3.653
Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 83 249 30 112 0 0 26
normalized size 1 1. 3.46 10.38 1.25 4.67 0. 0. 1.08
time (sec) N/A 0.037 0.055 0.099 0.93 0.278 0. 0. 3.641
Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 58 106 78 72 0 0 36
normalized size 1 1. 1.71 3.12 2.29 2.12 0. 0. 1.06
time (sec) N/A 0.038 0.036 0.033 0.842 0.329 0. 0. 3.179
Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 56 109 73 68 0 0 36
normalized size 1 1. 1.65 3.21 2.15 2. 0. 0. 1.06
time (sec) N/A 0.038 0.031 0.033 0.869 0.27 0. 0. 3.119
Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 34 75 38 30 0 0 36
normalized size 1 1. 1. 2.21 1.12 0.88 0. 0. 1.06
time (sec) N/A 0.025 0.01 0.023 0.884 0.265 0. 0. 2.332
Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 32 78 35 30 0 0 34
normalized size 1 1. 1. 2.44 1.09 0.94 0. 0. 1.06
time (sec) N/A 0.011 0.007 0.018 0.834 0.267 0. 0. 1.177
Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 42 100 38 65 0 0 36
normalized size 1 1. 1.24 2.94 1.12 1.91 0. 0. 1.06
time (sec) N/A 0.037 0.034 0.029 0.835 0.272 0. 0. 3.109
Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 44 102 38 68 0 0 37
normalized size 1 1. 1.29 3. 1.12 2. 0. 0. 1.09
time (sec) N/A 0.036 0.033 0.033 0.839 0.267 0. 0. 3.144
Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 11 9 11 11 7 11 7
normalized size 1 1. 1. 0.82 1. 1. 0.64 1. 0.64
time (sec) N/A 0.024 0.003 0.005 0.793 0.258 0.127 0.237 3.003
Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 35 136 47 0 0 0 32
normalized size 1 1. 1. 3.89 1.34 0. 0. 0. 0.91
time (sec) N/A 0.035 0.024 0.053 0.85 0. 0. 0. 3.467
Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 77 126 123 108 0 0 24
normalized size 1 1. 3.5 5.73 5.59 4.91 0. 0. 1.09
time (sec) N/A 0.035 0.047 0.039 0.819 0.261 0. 0. 3.656
Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 65 103 103 92 0 0 22
normalized size 1 1. 3.1 4.9 4.9 4.38 0. 0. 1.05
time (sec) N/A 0.035 0.037 0.029 0.834 0.258 0. 0. 3.651
Problem 118 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 79 79 53 80 82 76 0 0 68
normalized size 1 1. 0.67 1.01 1.04 0.96 0. 0. 0.86
time (sec) N/A 0.101 0.031 0.026 0.824 0.241 0. 0. 9.709
Problem 119 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 56 56 40 57 62 58 0 0 48
normalized size 1 1. 0.71 1.02 1.11 1.04 0. 0. 0.86
time (sec) N/A 0.061 0.023 0.023 0.824 0.256 0. 0. 6.055
Problem 120 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 28 28 28 32 39 41 0 0 24
normalized size 1 1. 1. 1.14 1.39 1.46 0. 0. 0.86
time (sec) N/A 0.038 0.007 0.02 0.803 0.273 0. 0. 3.7
Problem 121 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 13 13 13 15 18 18 0 0 12
normalized size 1 1. 1. 1.15 1.38 1.38 0. 0. 0.92
time (sec) N/A 0.03 0.004 0.019 0.841 0.261 0. 0. 3.129
Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 18 18 18 19 24 27 20 24 12
normalized size 1 1. 1. 1.06 1.33 1.5 1.11 1.33 0.67
time (sec) N/A 0.03 0.005 0.003 0.923 0.267 0.229 0.245 3.43
Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 39 39 27 49 28 42 22 0 27
normalized size 1 1. 0.69 1.26 0.72 1.08 0.56 0. 0.69
time (sec) N/A 0.063 0.011 0.014 0.822 0.261 0.248 0. 6.654
Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 61 61 41 73 30 58 39 0 49
normalized size 1 1. 0.67 1.2 0.49 0.95 0.64 0. 0.8
time (sec) N/A 0.097 0.015 0.019 0.823 0.269 0.296 0. 11.067
Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 82 82 53 96 28 74 53 0 70
normalized size 1 1. 0.65 1.17 0.34 0.9 0.65 0. 0.85
time (sec) N/A 0.132 0.016 0.019 0.838 0.253 0.315 0. 16.221
Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 65 119 30 90 66 0 22
normalized size 1 1. 2.95 5.41 1.36 4.09 3. 0. 1.
time (sec) N/A 0.033 0.019 0.022 0.813 0.253 0.403 0. 3.611
Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 77 142 28 107 80 0 20
normalized size 1 1. 3.67 6.76 1.33 5.1 3.81 0. 0.95
time (sec) N/A 0.033 0.021 0.023 0.819 0.258 0.379 0. 3.644
Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 46 169 51 0 0 0 44
normalized size 1 1. 1. 3.67 1.11 0. 0. 0. 0.96
time (sec) N/A 0.039 0.026 0.052 0.874 0. 0. 0. 3.38
Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 81 123 126 113 0 0 27
normalized size 1 1. 3.38 5.12 5.25 4.71 0. 0. 1.12
time (sec) N/A 0.039 0.044 0.039 0.803 0.264 0. 0. 3.628
Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 69 101 105 97 0 0 26
normalized size 1 1. 2.88 4.21 4.38 4.04 0. 0. 1.08
time (sec) N/A 0.041 0.036 0.033 0.818 0.263 0. 0. 3.598
Problem 131 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 81 81 57 79 85 81 0 0 76
normalized size 1 1. 0.7 0.98 1.05 1. 0. 0. 0.94
time (sec) N/A 0.141 0.03 0.028 0.858 0.255 0. 0. 11.507
Problem 132 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 58 58 44 57 65 63 0 0 54
normalized size 1 1. 0.76 0.98 1.12 1.09 0. 0. 0.93
time (sec) N/A 0.098 0.024 0.026 0.83 0.252 0. 0. 7.84
Problem 133 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 35 35 32 35 43 47 0 0 32
normalized size 1 1. 0.91 1. 1.23 1.34 0. 0. 0.91
time (sec) N/A 0.058 0.009 0.02 0.843 0.238 0. 0. 4.648
Problem 134 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 15 15 15 16 18 18 0 0 15
normalized size 1 1. 1. 1.07 1.2 1.2 0. 0. 1.
time (sec) N/A 0.035 0.004 0.019 0.933 0.244 0. 0. 3.047
Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 20 19 24 30 29 24 15
normalized size 1 1. 1. 0.95 1.2 1.5 1.45 1.2 0.75
time (sec) N/A 0.036 0.007 0.003 0.784 0.235 0.215 0.234 3.431
Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 32 52 30 46 29 0 36
normalized size 1 1. 0.73 1.18 0.68 1.05 0.66 0. 0.82
time (sec) N/A 0.073 0.013 0.017 0.864 0.242 0.25 0. 6.787
Problem 137 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 62 62 45 74 30 63 44 0 54
normalized size 1 1. 0.73 1.19 0.48 1.02 0.71 0. 0.87
time (sec) N/A 0.111 0.014 0.022 0.872 0.367 0.293 0. 11.57
Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 86 58 98 30 81 58 0 82
normalized size 1 1. 0.67 1.14 0.35 0.94 0.67 0. 0.95
time (sec) N/A 0.153 0.017 0.026 0.878 0.26 0.318 0. 16.842
Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 69 121 30 96 71 0 26
normalized size 1 1. 2.88 5.04 1.25 4. 2.96 0. 1.08
time (sec) N/A 0.038 0.019 0.029 0.84 0.337 0.366 0. 3.652
Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 82 144 30 113 85 0 24
normalized size 1 1. 3.42 6. 1.25 4.71 3.54 0. 1.
time (sec) N/A 0.038 0.023 0.036 0.978 0.32 0.386 0. 3.671
Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 110 155 174 161 0 0 36
normalized size 1 1. 3.24 4.56 5.12 4.74 0. 0. 1.06
time (sec) N/A 0.039 0.078 0.072 0.987 0.299 0. 0. 3.19
Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 98 133 154 144 0 0 36
normalized size 1 1. 2.88 3.91 4.53 4.24 0. 0. 1.06
time (sec) N/A 0.039 0.064 0.041 0.969 0.285 0. 0. 3.239
Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 119 119 86 111 134 128 0 0 117
normalized size 1 1. 0.72 0.93 1.13 1.08 0. 0. 0.98
time (sec) N/A 0.194 0.051 0.036 0.832 0.265 0. 0. 17.91
Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 96 96 74 89 113 112 0 0 94
normalized size 1 1. 0.77 0.93 1.18 1.17 0. 0. 0.98
time (sec) N/A 0.146 0.044 0.032 0.928 0.32 0. 0. 12.903
Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 60 67 92 93 0 0 70
normalized size 1 1. 0.82 0.92 1.26 1.27 0. 0. 0.96
time (sec) N/A 0.105 0.034 0.029 0.88 0.318 0. 0. 8.839
Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 49 44 68 74 0 0 44
normalized size 1 1. 1. 0.9 1.39 1.51 0. 0. 0.9
time (sec) N/A 0.061 0.013 0.021 0.912 0.269 0. 0. 5.379
Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 39 39 39 28 46 36 0 0 37
normalized size 1 1. 1. 0.72 1.18 0.92 0. 0. 0.95
time (sec) N/A 0.049 0.008 0.025 0.913 0.259 0. 0. 4.102
Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 63 58 38 84 0 0 53
normalized size 1 1. 1. 0.92 0.6 1.33 0. 0. 0.84
time (sec) N/A 0.089 0.028 0.035 0.879 0.244 0. 0. 7.735
Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 86 74 80 38 103 0 0 78
normalized size 1 1. 0.86 0.93 0.44 1.2 0. 0. 0.91
time (sec) N/A 0.132 0.08 0.043 0.902 0.265 0. 0. 12.678
Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 109 109 86 102 38 119 0 0 102
normalized size 1 1. 0.79 0.94 0.35 1.09 0. 0. 0.94
time (sec) N/A 0.176 0.084 0.053 0.834 0.271 0. 0. 18.512
Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 132 132 100 124 38 135 0 0 126
normalized size 1 1. 0.76 0.94 0.29 1.02 0. 0. 0.95
time (sec) N/A 0.225 0.133 0.063 0.846 0.256 0. 0. 25.292
Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 112 146 38 151 0 0 34
normalized size 1 1. 3.29 4.29 1.12 4.44 0. 0. 1.
time (sec) N/A 0.038 0.1 0.073 0.912 0.269 0. 0. 3.189
Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 124 168 38 167 0 0 34
normalized size 1 1. 3.65 4.94 1.12 4.91 0. 0. 1.
time (sec) N/A 0.038 0.177 0.085 0.837 0.252 0. 0. 3.244
Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 46 169 51 0 0 0 44
normalized size 1 1. 1. 3.67 1.11 0. 0. 0. 0.96
time (sec) N/A 0.039 0.026 0.054 0.908 0. 0. 0. 3.428
Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 81 249 126 113 0 0 27
normalized size 1 1. 3.38 10.38 5.25 4.71 0. 0. 1.12
time (sec) N/A 0.039 0.047 0.065 0.958 0.262 0. 0. 3.593
Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 69 213 105 97 0 0 26
normalized size 1 1. 2.88 8.88 4.38 4.04 0. 0. 1.08
time (sec) N/A 0.04 0.043 0.054 0.842 0.278 0. 0. 3.617
Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 81 81 57 177 85 81 0 0 76
normalized size 1 1. 0.7 2.19 1.05 1. 0. 0. 0.94
time (sec) N/A 0.153 0.031 0.046 0.84 0.237 0. 0. 12.329
Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 58 58 44 141 65 63 0 0 54
normalized size 1 1. 0.76 2.43 1.12 1.09 0. 0. 0.93
time (sec) N/A 0.11 0.023 0.039 0.912 0.242 0. 0. 8.534
Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 32 97 43 47 0 0 32
normalized size 1 1. 0.91 2.77 1.23 1.34 0. 0. 0.91
time (sec) N/A 0.07 0.009 0.03 0.831 0.253 0. 0. 5.353
Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 41 18 18 0 0 15
normalized size 1 1. 1. 2.73 1.2 1.2 0. 0. 1.
time (sec) N/A 0.035 0.005 0.023 0.803 0.271 0. 0. 3.065
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 20 20 20 19 24 30 29 24 15
normalized size 1 1. 1. 0.95 1.2 1.5 1.45 1.2 0.75
time (sec) N/A 0.036 0.006 0.002 0.766 0.245 0.215 0.245 3.401
Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 32 52 30 46 29 0 36
normalized size 1 1. 0.73 1.18 0.68 1.05 0.66 0. 0.82
time (sec) N/A 0.074 0.012 0.022 0.811 0.251 0.25 0. 6.569
Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 67 67 45 75 30 63 44 0 61
normalized size 1 1. 0.67 1.12 0.45 0.94 0.66 0. 0.91
time (sec) N/A 0.113 0.015 0.028 0.819 0.257 0.291 0. 11.328
Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 83 83 58 97 30 81 58 0 78
normalized size 1 1. 0.7 1.17 0.36 0.98 0.7 0. 0.94
time (sec) N/A 0.154 0.018 0.035 0.817 0.236 0.33 0. 17.163
Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 69 121 30 96 71 0 26
normalized size 1 1. 2.88 5.04 1.25 4. 2.96 0. 1.08
time (sec) N/A 0.038 0.02 0.045 0.847 0.239 0.364 0. 3.631
Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 82 84 30 113 85 0 24
normalized size 1 1. 3.42 3.5 1.25 4.71 3.54 0. 1.
time (sec) N/A 0.038 0.023 0.045 0.803 0.241 0.384 0. 3.656
Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 59 120 88 90 0 0 36
normalized size 1 1. 1.74 3.53 2.59 2.65 0. 0. 1.06
time (sec) N/A 0.039 0.082 0.037 0.811 0.279 0. 0. 3.211
Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 55 115 84 85 0 0 36
normalized size 1 1. 1.62 3.38 2.47 2.5 0. 0. 1.06
time (sec) N/A 0.039 0.078 0.034 0.837 0.272 0. 0. 3.154
Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 44 105 63 69 0 0 36
normalized size 1 1. 1.29 3.09 1.85 2.03 0. 0. 1.06
time (sec) N/A 0.025 0.027 0.026 0.8 0.255 0. 0. 2.428
Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 39 98 58 65 0 0 34
normalized size 1 1. 1.22 3.06 1.81 2.03 0. 0. 1.06
time (sec) N/A 0.011 0.03 0.023 0.806 0.264 0. 0. 1.181
Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 34 82 38 30 0 0 32
normalized size 1 1. 1. 2.41 1.12 0.88 0. 0. 0.94
time (sec) N/A 0.037 0.012 0.025 0.827 0.245 0. 0. 3.207
Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 34 78 38 30 0 0 34
normalized size 1 1. 1. 2.29 1.12 0.88 0. 0. 1.
time (sec) N/A 0.038 0.014 0.026 0.803 0.254 0. 0. 3.302
Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 56 112 38 77 0 0 34
normalized size 1 1. 1.65 3.29 1.12 2.26 0. 0. 1.
time (sec) N/A 0.037 0.033 0.036 0.815 0.269 0. 0. 3.424
Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F A F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 46 0 63 0 0 0 41
normalized size 1 1. 1. 0. 1.37 0. 0. 0. 0.89
time (sec) N/A 0.043 0.037 0.099 1.011 0. 0. 0. 3.986
Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F A F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 39 39 39 0 55 0 0 0 36
normalized size 1 1. 1. 0. 1.41 0. 0. 0. 0.92
time (sec) N/A 0.043 0.016 0.035 0.91 0. 0. 0. 4.01
Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F A F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 39 39 39 0 55 0 0 0 36
normalized size 1 1. 1. 0. 1.41 0. 0. 0. 0.92
time (sec) N/A 0.043 0.016 0.058 0.937 0. 0. 0. 3.9
Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F A F F(-2) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 39 39 39 0 55 0 0 0 36
normalized size 1 1. 1. 0. 1.41 0. 0. 0. 0.92
time (sec) N/A 0.028 0.015 0.046 0.921 0. 0. 0. 2.798
Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F A F F(-2) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 35 0 47 0 0 0 34
normalized size 1 1. 1. 0. 1.34 0. 0. 0. 0.97
time (sec) N/A 0.013 0.011 0.033 0.907 0. 0. 0. 1.559
Problem 179 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 15 15 15 19 20 20 0 0 14
normalized size 1 1. 1. 1.27 1.33 1.33 0. 0. 0.93
time (sec) N/A 0.037 0.006 0.036 0.841 0.253 0. 0. 3.344
Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F A F F(-2) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 37 0 50 0 0 0 36
normalized size 1 1. 1. 0. 1.35 0. 0. 0. 0.97
time (sec) N/A 0.041 0.015 0.056 0.943 0. 0. 0. 3.783
Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F A F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 39 39 39 0 53 0 0 0 37
normalized size 1 1. 1. 0. 1.36 0. 0. 0. 0.95
time (sec) N/A 0.041 0.018 0.029 0.936 0. 0. 0. 3.55
Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F A F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 39 39 39 0 53 0 0 0 37
normalized size 1 1. 1. 0. 1.36 0. 0. 0. 0.95
time (sec) N/A 0.041 0.018 0.029 0.95 0. 0. 0. 3.628
Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 71 71 43 44 69 63 0 0 63
normalized size 1 1. 0.61 0.62 0.97 0.89 0. 0. 0.89
time (sec) N/A 0.131 0.022 0.03 0.84 0.257 0. 0. 12.715
Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 29 56 46 45 0 0 36
normalized size 1 1. 0.64 1.24 1.02 1. 0. 0. 0.8
time (sec) N/A 0.081 0.016 0.05 0.814 0.256 0. 0. 7.28
Problem 185 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 20 20 20 25 27 32 0 27 14
normalized size 1 1. 1. 1.25 1.35 1.6 0. 1.35 0.7
time (sec) N/A 0.038 0.005 0.033 0.794 0.265 0. 0.225 3.595
Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 19 20 20 0 0 14
normalized size 1 1. 1. 1.27 1.33 1.33 0. 0. 0.93
time (sec) N/A 0.037 0.005 0. 0.872 0.272 0. 0. 3.255
Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 38 38 38 42 27 58 0 0 32
normalized size 1 1. 1. 1.11 0.71 1.53 0. 0. 0.84
time (sec) N/A 0.077 0.02 0.05 1.073 0.257 0. 0. 5.799
Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 71 71 55 68 34 82 0 0 61
normalized size 1 1. 0.77 0.96 0.48 1.15 0. 0. 0.86
time (sec) N/A 0.124 0.044 0.069 1.246 0.266 0. 0. 9.701
Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 104 104 107 96 45 111 0 0 92
normalized size 1 1. 1.03 0.92 0.43 1.07 0. 0. 0.88
time (sec) N/A 0.18 0.111 0.072 1.077 0.261 0. 0. 16.033
Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 76 67 45 92 0 0 61
normalized size 1 1. 1.03 0.91 0.61 1.24 0. 0. 0.82
time (sec) N/A 0.112 0.064 0.049 1.055 0.293 0. 0. 10.223
Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 46 32 51 46 0 0 39
normalized size 1 1. 1.07 0.74 1.19 1.07 0. 0. 0.91
time (sec) N/A 0.064 0.033 0.068 1.048 0.281 0. 0. 5.512
Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 66 66 59 59 47 127 0 0 58
normalized size 1 1. 0.89 0.89 0.71 1.92 0. 0. 0.88
time (sec) N/A 0.108 0.118 0.063 1.075 0.252 0. 0. 9.394
Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 96 96 71 88 47 157 0 0 87
normalized size 1 1. 0.74 0.92 0.49 1.64 0. 0. 0.91
time (sec) N/A 0.154 0.23 0.053 1.092 0.264 0. 0. 14.227
Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A F(-2) A A A
verified N/A NO NO TBD TBD TBD TBD TBD TBD
size 16 16 11 10 12 0 10 14 15
normalized size 1 1. 0.69 0.62 0.75 0. 0.62 0.88 0.94
time (sec) N/A 0.015 0.002 0.016 0.936 0. 0.141 0.235 2.325
Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 203 203 96 193 428 173 0 184 0
normalized size 1 1. 0.47 0.95 2.11 0.85 0. 0.91 0.
time (sec) N/A 0.33 0.152 0.084 0.976 0.264 0. 0.262 0.
Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 140 140 83 140 350 136 0 144 0
normalized size 1 1. 0.59 1. 2.5 0.97 0. 1.03 0.
time (sec) N/A 0.207 0.099 0.037 1.022 0.266 0. 0.239 0.
Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 68 68 63 66 211 116 0 104 0
normalized size 1 1. 0.93 0.97 3.1 1.71 0. 1.53 0.
time (sec) N/A 0.092 0.036 0.031 0.858 0.259 0. 0.254 0.
Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 41 41 54 47 0 45 0
normalized size 1 1. 1. 1. 1.32 1.15 0. 1.1 0.
time (sec) N/A 0.021 0.006 0.028 0.834 0.272 0. 0.253 0.
Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 18 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.027 0.152 0.042 0. 0. 0. 0. 0.
Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 78 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.084 0.36 0.025 0. 0. 0. 0. 0.
Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 137 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.158 0.504 0.032 0. 0. 0. 0. 0.
Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 120 120 0 0 0 232 0 0 116
normalized size 1 1. 0. 0. 0. 1.93 0. 0. 0.97
time (sec) N/A 0.156 0.252 0.032 0. 0.277 0. 0. 17.602
Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 92 92 0 0 0 144 0 0 90
normalized size 1 1. 0. 0. 0. 1.57 0. 0. 0.98
time (sec) N/A 0.093 0.555 0.02 0. 0.269 0. 0. 8.627
Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 44 0 0 68 0 0 42
normalized size 1 1. 1. 0. 0. 1.55 0. 0. 0.95
time (sec) N/A 0.016 0.003 0.019 0. 0.26 0. 0. 1.701
Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 18 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.026 0.433 0.017 0. 0. 0. 0. 0.
Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 133 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.483 1.579 0.027 0. 0. 0. 0. 0.
Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A A A F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 263 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.772 2.034 0.035 0. 0. 0. 0. 0.
Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 183 183 0 0 0 220 0 0 168
normalized size 1 1. 0. 0. 0. 1.2 0. 0. 0.92
time (sec) N/A 0.308 0.353 0.039 0. 0.253 0. 0. 31.024
Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 138 138 0 0 0 197 0 0 122
normalized size 1 1. 0. 0. 0. 1.43 0. 0. 0.88
time (sec) N/A 0.257 0.274 0.027 0. 0.261 0. 0. 23.78
Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 99 99 0 0 0 178 0 0 88
normalized size 1 1. 0. 0. 0. 1.8 0. 0. 0.89
time (sec) N/A 0.192 0.194 0.026 0. 0.259 0. 0. 17.305
Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 80 80 0 0 0 120 0 0 70
normalized size 1 1. 0. 0. 0. 1.5 0. 0. 0.88
time (sec) N/A 0.117 0.41 0.021 0. 0.262 0. 0. 9.486
Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 38 38 38 0 0 55 0 0 32
normalized size 1 1. 1. 0. 0. 1.45 0. 0. 0.84
time (sec) N/A 0.019 0.003 0.019 0. 0.278 0. 0. 1.962
Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 36 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.141 0.327 0.021 0. 0. 0. 0. 0.
Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 36 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.142 0.252 0.042 0. 0. 0. 0. 0.
Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 26 29 26 26 34 28 34
normalized size 1 1. 0.65 0.72 0.65 0.65 0.85 0.7 0.85
time (sec) N/A 0.024 0.006 0.004 0.767 0.253 0.464 0.278 2.34
Problem 216 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 291 291 241 517 0 328 0 0 287
normalized size 1 1. 0.83 1.78 0. 1.13 0. 0. 0.99
time (sec) N/A 0.517 0.226 0.054 0. 0.261 0. 0. 59.967
Problem 217 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 269 269 179 359 0 231 0 0 258
normalized size 1 1. 0.67 1.33 0. 0.86 0. 0. 0.96
time (sec) N/A 0.45 0.177 0.04 0. 0.279 0. 0. 48.734
Problem 218 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 229 229 128 227 0 154 0 0 211
normalized size 1 1. 0.56 0.99 0. 0.67 0. 0. 0.92
time (sec) N/A 0.374 0.123 0.034 0. 0.255 0. 0. 34.145
Problem 219 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 120 120 82 126 0 96 0 0 109
normalized size 1 1. 0.68 1.05 0. 0.8 0. 0. 0.91
time (sec) N/A 0.191 0.076 0.03 0. 0.27 0. 0. 15.992
Problem 220 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 41 41 41 52 0 54 0 0 32
normalized size 1 1. 1. 1.27 0. 1.32 0. 0. 0.78
time (sec) N/A 0.051 0.015 0.021 0. 0.258 0. 0. 5.455
Problem 221 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 41 41 41 47 0 55 0 0 34
normalized size 1 1. 1. 1.15 0. 1.34 0. 0. 0.83
time (sec) N/A 0.204 0.019 0.027 0. 0.262 0. 0. 18.546
Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 68 68 68 80 0 81 0 0 0
normalized size 1 1. 1. 1.18 0. 1.19 0. 0. 0.
time (sec) N/A 0.636 0.09 0.033 0. 0.254 0. 0. 0.
Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 166 166 115 226 0 149 0 0 0
normalized size 1 1. 0.69 1.36 0. 0.9 0. 0. 0.
time (sec) N/A 1.212 0.167 0.042 0. 0.273 0. 0. 0.
Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 415 415 195 343 0 306 0 0 415
normalized size 1 1. 0.47 0.83 0. 0.74 0. 0. 1.
time (sec) N/A 0.791 0.242 0.097 0. 0.275 0. 0. 68.017
Problem 225 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 291 291 148 228 0 242 0 0 287
normalized size 1 1. 0.51 0.78 0. 0.83 0. 0. 0.99
time (sec) N/A 0.528 0.165 0.043 0. 0.273 0. 0. 50.272
Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 206 206 131 175 0 205 0 0 201
normalized size 1 1. 0.64 0.85 0. 1. 0. 0. 0.98
time (sec) N/A 0.373 0.122 0.039 0. 0.252 0. 0. 35.205
Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 111 111 89 93 0 167 0 0 105
normalized size 1 1. 0.8 0.84 0. 1.5 0. 0. 0.95
time (sec) N/A 0.199 0.049 0.031 0. 0.327 0. 0. 21.634
Problem 228 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 62 62 62 65 0 116 0 0 53
normalized size 1 1. 1. 1.05 0. 1.87 0. 0. 0.85
time (sec) N/A 0.075 0.023 0.029 0. 0.31 0. 0. 8.508
Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 18 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.028 0.05 0.029 0. 0. 0. 0. 0.
Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 18 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.068 0.174 0.043 0. 0. 0. 0. 0.
Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 18 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.06 0.443 0.053 0. 0. 0. 0. 0.
Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 239 239 228 0 0 375 0 0 252
normalized size 1 1. 0.95 0. 0. 1.57 0. 0. 1.05
time (sec) N/A 0.345 0.649 0.054 0. 0.281 0. 0. 36.
Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 184 184 201 0 0 336 0 0 190
normalized size 1 1. 1.09 0. 0. 1.83 0. 0. 1.03
time (sec) N/A 0.268 0.553 0.043 0. 0.288 0. 0. 28.484
Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 142 142 178 0 0 292 0 0 144
normalized size 1 1. 1.25 0. 0. 2.06 0. 0. 1.01
time (sec) N/A 0.208 1.883 0.036 0. 0.267 0. 0. 20.528
Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 92 92 139 0 0 228 0 0 94
normalized size 1 1. 1.51 0. 0. 2.48 0. 0. 1.02
time (sec) N/A 0.098 0.351 0.033 0. 0.276 0. 0. 8.512
Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 67 0 0 149 0 0 42
normalized size 1 1. 1.52 0. 0. 3.39 0. 0. 0.95
time (sec) N/A 0.016 0.006 0.026 0. 0.269 0. 0. 1.74
Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 18 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.029 0.04 0.026 0. 0. 0. 0. 0.
Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 18 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.07 0.24 0.039 0. 0. 0. 0. 0.
Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 18 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.061 0.04 0.056 0. 0. 0. 0. 0.
Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 18 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.078 0.378 0.048 0. 0. 0. 0. 0.
Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 29 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.083 0.196 0.041 0. 0. 0. 0. 0.
Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 36 117 49 53 0 0 39
normalized size 1 1. 0.88 2.85 1.2 1.29 0. 0. 0.95
time (sec) N/A 0.041 0.02 0.049 0.865 0.266 0. 0. 4.009
Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 18 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.064 0.044 0.059 0. 0. 0. 0. 0.
Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 18 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.065 0.075 0.064 0. 0. 0. 0. 0.
Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 18 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.067 0.077 0.07 0. 0. 0. 0. 0.
Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 18 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.082 0.052 0.044 0. 0. 0. 0. 0.
Problem 247 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 207 207 0 0 0 0 0 0 192
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.93
time (sec) N/A 0.279 4.201 0.023 0. 0. 0. 0. 28.28
Problem 248 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 154 154 0 0 0 0 0 0 141
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.92
time (sec) N/A 0.194 3.866 0.056 0. 0. 0. 0. 19.5
Problem 249 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 99 99 91 0 0 0 0 0 90
normalized size 1 1. 0.92 0. 0. 0. 0. 0. 0.91
time (sec) N/A 0.103 0.243 0.043 0. 0. 0. 0. 10.229
Problem 250 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 47 47 47 0 0 0 0 0 42
normalized size 1 1. 1. 0. 0. 0. 0. 0. 0.89
time (sec) N/A 0.017 0.011 0.028 0. 0. 0. 0. 2.034
Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 18 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.033 0.035 0.021 0. 0. 0. 0. 0.
Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 18 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.07 0.033 0.061 0. 0. 0. 0. 0.
Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 18 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.069 0.037 0.02 0. 0. 0. 0. 0.
Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 61 61 61 0 0 80 0 0 58
normalized size 1 1. 1. 0. 0. 1.31 0. 0. 0.95
time (sec) N/A 0.105 0.063 0.069 0. 0.262 0. 0. 5.485
Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 104 579 8798 632 796 196 31
normalized size 1 1. 3.35 18.68 283.81 20.39 25.68 6.32 1.
time (sec) N/A 0.111 0.089 0.03 1.708 0.277 1.258 0.249 6.016
Problem 256 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 88 396 6249 437 558 167 29
normalized size 1 1. 2.84 12.77 201.58 14.1 18. 5.39 0.94
time (sec) N/A 0.11 0.064 0.022 1.481 0.252 0.998 0.227 5.873
Problem 257 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 126 126 72 249 4126 281 366 139 112
normalized size 1 1. 0.57 1.98 32.75 2.23 2.9 1.1 0.89
time (sec) N/A 0.406 0.048 0.016 1.53 0.291 0.788 0.23 24.681
Problem 258 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 91 91 56 138 2430 162 214 111 76
normalized size 1 1. 0.62 1.52 26.7 1.78 2.35 1.22 0.84
time (sec) N/A 0.278 0.049 0.01 1.37 0.246 0.603 0.251 15.989
Problem 259 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 62 62 40 63 1160 81 100 82 49
normalized size 1 1. 0.65 1.02 18.71 1.31 1.61 1.32 0.79
time (sec) N/A 0.164 0.031 0.01 1.04 0.261 0.456 0.255 9.046
Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 27 36 34 47 36 34 19
normalized size 1 1. 1. 1.33 1.26 1.74 1.33 1.26 0.7
time (sec) N/A 0.057 0.01 0.003 0.766 0.252 0.306 0.229 3.721
Problem 261 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 22 22 22 23 0 43 0 0 19
normalized size 1 1. 1. 1.05 0. 1.95 0. 0. 0.86
time (sec) N/A 0.102 0.01 0.026 0. 0.244 0. 0. 4.62
Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 53 53 47 62 0 135 0 0 46
normalized size 1 1. 0.89 1.17 0. 2.55 0. 0. 0.87
time (sec) N/A 0.205 0.06 0.042 0. 0.262 0. 0. 8.856
Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 87 87 64 104 0 247 0 0 76
normalized size 1 1. 0.74 1.2 0. 2.84 0. 0. 0.87
time (sec) N/A 0.305 0.098 0.056 0. 0.268 0. 0. 14.018
Problem 264 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 121 121 79 146 0 394 0 0 107
normalized size 1 1. 0.65 1.21 0. 3.26 0. 0. 0.88
time (sec) N/A 0.413 0.106 0.079 0. 0.257 0. 0. 20.524
Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 95 188 0 581 0 0 32
normalized size 1 1. 3.06 6.06 0. 18.74 0. 0. 1.03
time (sec) N/A 0.1 0.101 0.105 0. 0.261 0. 0. 5.547
Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 111 230 0 805 0 0 31
normalized size 1 1. 3.58 7.42 0. 25.97 0. 0. 1.
time (sec) N/A 0.099 0.123 0.139 0. 0.252 0. 0. 5.555
Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 155 1686 10247 803 0 266 48
normalized size 1 1. 3.16 34.41 209.12 16.39 0. 5.43 0.98
time (sec) N/A 0.106 0.217 0.374 1.774 0.253 0. 0.267 5.8
Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 139 1209 7484 590 0 238 48
normalized size 1 1. 2.84 24.67 152.73 12.04 0. 4.86 0.98
time (sec) N/A 0.105 0.221 0.164 1.632 0.261 0. 0.252 5.722
Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 179 179 123 814 5148 414 0 209 165
normalized size 1 1. 0.69 4.55 28.76 2.31 0. 1.17 0.92
time (sec) N/A 0.533 0.248 0.105 1.525 0.271 0. 0.317 38.
Problem 270 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 145 145 107 501 3239 277 0 181 133
normalized size 1 1. 0.74 3.46 22.34 1.91 0. 1.25 0.92
time (sec) N/A 0.375 0.166 0.071 1.26 0.261 0. 0.323 26.952
Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 111 111 88 270 1755 177 0 153 100
normalized size 1 1. 0.79 2.43 15.81 1.59 0. 1.38 0.9
time (sec) N/A 0.249 0.137 0.053 1.157 0.27 0. 0.265 17.363
Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 77 121 699 123 0 126 66
normalized size 1 1. 1. 1.57 9.08 1.6 0. 1.64 0.86
time (sec) N/A 0.138 0.069 0.042 1.035 0.283 0. 0.232 9.234
Problem 273 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 44 44 78 51 0 51 41
normalized size 1 1. 1. 1. 1.77 1.16 0. 1.16 0.93
time (sec) N/A 0.026 0.008 0.027 0.926 0.262 0. 0.237 2.618
Problem 274 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 67 67 63 71 0 132 0 0 58
normalized size 1 1. 0.94 1.06 0. 1.97 0. 0. 0.87
time (sec) N/A 0.131 0.07 0.059 0. 0.276 0. 0. 8.223
Problem 275 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 102 102 81 114 0 246 0 0 92
normalized size 1 1. 0.79 1.12 0. 2.41 0. 0. 0.9
time (sec) N/A 0.234 0.138 0.059 0. 0.254 0. 0. 14.298
Problem 276 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 136 136 97 156 0 394 0 0 124
normalized size 1 1. 0.71 1.15 0. 2.9 0. 0. 0.91
time (sec) N/A 0.344 0.116 0.078 0. 0.268 0. 0. 21.767
Problem 277 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 170 170 113 198 0 581 0 0 156
normalized size 1 1. 0.66 1.16 0. 3.42 0. 0. 0.92
time (sec) N/A 0.46 0.158 0.102 0. 0.253 0. 0. 31.428
Problem 278 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 129 240 0 805 0 0 49
normalized size 1 1. 2.63 4.9 0. 16.43 0. 0. 1.
time (sec) N/A 0.101 0.159 0.135 0. 0.257 0. 0. 5.378
Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 152 282 0 1067 0 0 49
normalized size 1 1. 3.1 5.76 0. 21.78 0. 0. 1.
time (sec) N/A 0.103 0.157 0.171 0. 0.287 0. 0. 5.384
Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 61 61 61 0 0 96 0 0 58
normalized size 1 1. 1. 0. 0. 1.57 0. 0. 0.95
time (sec) N/A 0.104 0.071 0.073 0. 0.257 0. 0. 6.142
Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 104 857 1712 929 1171 0 31
normalized size 1 1. 3.35 27.65 55.23 29.97 37.77 0. 1.
time (sec) N/A 0.105 0.117 0.033 1.134 0.265 1.813 0. 7.108
Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 88 584 1180 640 823 0 29
normalized size 1 1. 2.84 18.84 38.06 20.65 26.55 0. 0.94
time (sec) N/A 0.107 0.086 0.028 1.187 0.268 1.383 0. 6.885
Problem 283 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 124 124 72 365 749 408 537 1 109
normalized size 1 1. 0.58 2.94 6.04 3.29 4.33 0.01 0.88
time (sec) N/A 0.436 0.06 0.02 1.182 0.255 1.068 0.255 28.381
Problem 284 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 96 96 56 200 416 232 306 952 83
normalized size 1 1. 0.58 2.08 4.33 2.42 3.19 9.92 0.86
time (sec) N/A 0.322 0.053 0.013 1.183 0.262 0.795 0.248 18.994
Problem 285 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 62 62 40 89 180 113 144 1203 49
normalized size 1 1. 0.65 1.44 2.9 1.82 2.32 19.4 0.79
time (sec) N/A 0.209 0.041 0.013 1.225 0.295 0.565 0.25 11.24
Problem 286 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 27 48 34 63 46 34 19
normalized size 1 1. 1. 1.78 1.26 2.33 1.7 1.26 0.7
time (sec) N/A 0.102 0.013 0.006 0.886 0.287 0.392 0.244 5.495
Problem 287 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 22 0 0 59 0 0 19
normalized size 1 1. 1. 0. 0. 2.68 0. 0. 0.86
time (sec) N/A 0.103 0.011 0.04 0. 0.278 0. 0. 4.894
Problem 288 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 53 53 47 0 0 198 0 0 46
normalized size 1 1. 0.89 0. 0. 3.74 0. 0. 0.87
time (sec) N/A 0.202 0.049 0.06 0. 0.26 0. 0. 9.226
Problem 289 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 87 87 64 0 0 363 0 0 76
normalized size 1 1. 0.74 0. 0. 4.17 0. 0. 0.87
time (sec) N/A 0.305 0.074 0.095 0. 0.306 0. 0. 14.921
Problem 290 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 121 121 79 0 0 582 0 0 107
normalized size 1 1. 0.65 0. 0. 4.81 0. 0. 0.88
time (sec) N/A 0.411 0.1 0.13 0. 0.26 0. 0. 21.981
Problem 291 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 95 0 0 859 0 0 32
normalized size 1 1. 3.06 0. 0. 27.71 0. 0. 1.03
time (sec) N/A 0.098 0.108 0.188 0. 0.292 0. 0. 5.931
Problem 292 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 111 0 0 1192 0 0 31
normalized size 1 1. 3.58 0. 0. 38.45 0. 0. 1.
time (sec) N/A 0.099 0.13 0.287 0. 0.283 0. 0. 6.035
Problem 293 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 79 0 0 159 0 0 48
normalized size 1 1. 1.61 0. 0. 3.24 0. 0. 0.98
time (sec) N/A 0.105 0.108 0.05 0. 0.296 0. 0. 5.498
Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 49 0 0 73 0 0 48
normalized size 1 1. 1. 0. 0. 1.49 0. 0. 0.98
time (sec) N/A 0.061 0.038 0.026 0. 0.306 0. 0. 3.878
Problem 295 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 47 47 47 0 0 72 0 0 46
normalized size 1 1. 1. 0. 0. 1.53 0. 0. 0.98
time (sec) N/A 0.019 0.022 0.018 0. 0.26 0. 0. 1.793
Problem 296 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 61 0 0 171 0 0 48
normalized size 1 1. 1.24 0. 0. 3.49 0. 0. 0.98
time (sec) N/A 0.101 0.1 0.049 0. 0.267 0. 0. 5.275
Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 63 0 0 200 0 0 49
normalized size 1 1. 1.29 0. 0. 4.08 0. 0. 1.
time (sec) N/A 0.1 0.114 0.053 0. 0.251 0. 0. 5.298
Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 93 0 0 333 0 0 49
normalized size 1 1. 1.9 0. 0. 6.8 0. 0. 1.
time (sec) N/A 0.1 0.248 0.071 0. 0.278 0. 0. 5.313
Problem 299 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 64 64 42 0 58 57 76 1 54
normalized size 1 1. 0.66 0. 0.91 0.89 1.19 0.02 0.84
time (sec) N/A 0.067 0.033 0.006 0.782 0.247 1.199 0.664 6.718
Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 100 100 60 0 84 78 0 1 88
normalized size 1 1. 0.6 0. 0.84 0.78 0. 0.01 0.88
time (sec) N/A 0.115 0.044 0.005 0.953 0.253 0. 0.305 12.247
Problem 301 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 50 50 50 0 0 0 0 0 44
normalized size 1 1. 1. 0. 0. 0. 0. 0. 0.88
time (sec) N/A 0.073 0.042 0.087 0. 0. 0. 0. 5.864
Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 108 634 0 329 0 0 29
normalized size 1 1. 3.72 21.86 0. 11.34 0. 0. 1.
time (sec) N/A 0.073 0.124 0.049 0. 0.279 0. 0. 5.907
Problem 303 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 28 28 92 438 0 236 0 0 27
normalized size 1 1. 3.29 15.64 0. 8.43 0. 0. 0.96
time (sec) N/A 0.074 0.103 0.041 0. 0.268 0. 0. 5.877
Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 119 119 76 279 0 162 0 0 99
normalized size 1 1. 0.64 2.34 0. 1.36 0. 0. 0.83
time (sec) N/A 0.219 0.087 0.037 0. 0.248 0. 0. 17.879
Problem 305 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 85 85 58 158 0 104 0 0 70
normalized size 1 1. 0.68 1.86 0. 1.22 0. 0. 0.82
time (sec) N/A 0.137 0.058 0.03 0. 0.25 0. 0. 10.665
Problem 306 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 46 46 42 71 0 69 0 0 37
normalized size 1 1. 0.91 1.54 0. 1.5 0. 0. 0.8
time (sec) N/A 0.086 0.026 0.023 0. 0.252 0. 0. 6.167
Problem 307 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 20 20 20 22 0 27 0 0 17
normalized size 1 1. 1. 1.1 0. 1.35 0. 0. 0.85
time (sec) N/A 0.071 0.01 0.026 0. 0.28 0. 0. 4.761
Problem 308 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 26 34 42 34 34 17
normalized size 1 1. 1. 1.04 1.36 1.68 1.36 1.36 0.68
time (sec) N/A 0.066 0.011 0.003 0.776 0.26 0.713 0.255 5.359
Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 57 57 41 106 0 69 44 0 41
normalized size 1 1. 0.72 1.86 0. 1.21 0.77 0. 0.72
time (sec) N/A 0.139 0.027 0.03 0. 0.251 0.271 0. 10.931
Problem 310 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 90 90 60 169 0 128 102 0 71
normalized size 1 1. 0.67 1.88 0. 1.42 1.13 0. 0.79
time (sec) N/A 0.218 0.037 0.042 0. 0.251 0.343 0. 18.386
Problem 311 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 122 122 76 243 0 203 177 0 100
normalized size 1 1. 0.62 1.99 0. 1.66 1.45 0. 0.82
time (sec) N/A 0.297 0.059 0.053 0. 0.255 0.412 0. 27.571
Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 92 329 0 296 272 0 27
normalized size 1 1. 3.17 11.34 0. 10.21 9.38 0. 0.93
time (sec) N/A 0.07 0.068 0.069 0. 0.25 0.478 0. 5.806
Problem 313 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 28 28 102 427 0 408 388 0 26
normalized size 1 1. 3.64 15.25 0. 14.57 13.86 0. 0.93
time (sec) N/A 0.07 0.068 0.083 0. 0.259 0.547 0. 5.798
Problem 314 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 61 61 61 0 0 0 0 0 56
normalized size 1 1. 1. 0. 0. 0. 0. 0. 0.92
time (sec) N/A 0.075 0.062 0.098 0. 0. 0. 0. 6.065
Problem 315 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 112 961 0 628 0 0 32
normalized size 1 1. 3.61 31. 0. 20.26 0. 0. 1.03
time (sec) N/A 0.075 0.124 0.09 0. 0.26 0. 0. 6.359
Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 96 646 0 447 0 0 31
normalized size 1 1. 3.1 20.84 0. 14.42 0. 0. 1.
time (sec) N/A 0.074 0.148 0.066 0. 0.264 0. 0. 6.248
Problem 317 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 121 121 80 395 0 304 0 0 107
normalized size 1 1. 0.66 3.26 0. 2.51 0. 0. 0.88
time (sec) N/A 0.281 0.127 0.055 0. 0.259 0. 0. 22.056
Problem 318 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 87 87 63 208 0 196 0 0 76
normalized size 1 1. 0.72 2.39 0. 2.25 0. 0. 0.87
time (sec) N/A 0.195 0.087 0.042 0. 0.259 0. 0. 14.107
Problem 319 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 53 53 47 86 0 130 0 0 46
normalized size 1 1. 0.89 1.62 0. 2.45 0. 0. 0.87
time (sec) N/A 0.115 0.045 0.033 0. 0.252 0. 0. 7.934
Problem 320 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 22 22 22 23 0 42 0 0 20
normalized size 1 1. 1. 1.05 0. 1.91 0. 0. 0.91
time (sec) N/A 0.071 0.009 0.029 0. 0.265 0. 0. 4.865
Problem 321 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 27 26 34 73 54 34 20
normalized size 1 1. 1. 0.96 1.26 2.7 2. 1.26 0.74
time (sec) N/A 0.067 0.015 0.003 0.78 0.245 0.83 0.246 5.588
Problem 322 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 62 62 47 185 136 135 82 0 49
normalized size 1 1. 0.76 2.98 2.19 2.18 1.32 0. 0.79
time (sec) N/A 0.142 0.043 0.054 0.825 0.239 0.397 0. 11.278
Problem 323 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 91 91 64 301 281 243 189 1 76
normalized size 1 1. 0.7 3.31 3.09 2.67 2.08 0.01 0.84
time (sec) N/A 0.217 0.05 0.087 1.074 0.3 0.53 0.27 19.034
Problem 324 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 126 126 73 444 471 387 333 0 112
normalized size 1 1. 0.58 3.52 3.74 3.07 2.64 0. 0.89
time (sec) N/A 0.301 0.063 0.128 0.783 0.276 0.66 0. 28.824
Problem 325 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 89 609 710 567 518 0 31
normalized size 1 1. 2.87 19.65 22.9 18.29 16.71 0. 1.
time (sec) N/A 0.072 0.07 0.184 0.844 0.277 0.827 0. 5.936
Problem 326 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 105 797 999 787 745 0 29
normalized size 1 1. 3.39 25.71 32.23 25.39 24.03 0. 0.94
time (sec) N/A 0.071 0.089 0.25 0.792 0.294 1.164 0. 5.912
Problem 327 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 145 1173 0 795 0 0 48
normalized size 1 1. 2.96 23.94 0. 16.22 0. 0. 0.98
time (sec) N/A 0.076 0.151 0.124 0. 0.274 0. 0. 5.892
Problem 328 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 129 826 0 591 0 0 48
normalized size 1 1. 2.63 16.86 0. 12.06 0. 0. 0.98
time (sec) N/A 0.079 0.226 0.079 0. 0.264 0. 0. 5.721
Problem 329 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 170 170 113 543 0 425 0 0 156
normalized size 1 1. 0.66 3.19 0. 2.5 0. 0. 0.92
time (sec) N/A 0.384 0.172 0.064 0. 0.27 0. 0. 34.128
Problem 330 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 136 136 97 324 0 297 0 0 124
normalized size 1 1. 0.71 2.38 0. 2.18 0. 0. 0.91
time (sec) N/A 0.282 0.131 0.051 0. 0.256 0. 0. 24.607
Problem 331 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 102 102 79 169 0 204 0 0 92
normalized size 1 1. 0.77 1.66 0. 2. 0. 0. 0.9
time (sec) N/A 0.192 0.105 0.041 0. 0.279 0. 0. 16.663
Problem 332 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 67 67 63 74 0 147 0 0 58
normalized size 1 1. 0.94 1.1 0. 2.19 0. 0. 0.87
time (sec) N/A 0.109 0.041 0.029 0. 0.27 0. 0. 9.753
Problem 333 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 46 35 0 55 0 0 42
normalized size 1 1. 1. 0.76 0. 1.2 0. 0. 0.91
time (sec) N/A 0.092 0.013 0.037 0. 0.258 0. 0. 7.391
Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 81 81 81 76 0 161 0 0 66
normalized size 1 1. 1. 0.94 0. 1.99 0. 0. 0.81
time (sec) N/A 0.17 0.069 0.065 0. 0.273 0. 0. 13.748
Problem 335 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 93 109 0 271 0 0 100
normalized size 1 1. 0.81 0.95 0. 2.36 0. 0. 0.87
time (sec) N/A 0.254 0.216 0.101 0. 0.286 0. 0. 22.11
Problem 336 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 149 149 111 142 0 410 0 0 133
normalized size 1 1. 0.74 0.95 0. 2.75 0. 0. 0.89
time (sec) N/A 0.347 0.139 0.144 0. 0.304 0. 0. 32.09
Problem 337 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 183 183 127 175 0 587 0 0 165
normalized size 1 1. 0.69 0.96 0. 3.21 0. 0. 0.9
time (sec) N/A 0.438 0.186 0.197 0. 0.286 0. 0. 44.221
Problem 338 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 143 208 0 802 0 0 46
normalized size 1 1. 2.92 4.24 0. 16.37 0. 0. 0.94
time (sec) N/A 0.073 0.262 0.273 0. 0.329 0. 0. 5.881
Problem 339 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 159 241 0 1054 0 0 46
normalized size 1 1. 3.24 4.92 0. 21.51 0. 0. 0.94
time (sec) N/A 0.075 0.327 0.347 0. 0.34 0. 0. 5.928
Problem 340 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 61 61 61 0 0 0 0 0 56
normalized size 1 1. 1. 0. 0. 0. 0. 0. 0.92
time (sec) N/A 0.076 0.07 0.108 0. 0. 0. 0. 7.097
Problem 341 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 112 0 0 926 0 0 32
normalized size 1 1. 3.61 0. 0. 29.87 0. 0. 1.03
time (sec) N/A 0.077 0.18 0.138 0. 0.263 0. 0. 7.535
Problem 342 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 96 0 0 657 0 0 31
normalized size 1 1. 3.1 0. 0. 21.19 0. 0. 1.
time (sec) N/A 0.078 0.119 0.106 0. 0.279 0. 0. 7.754
Problem 343 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 121 121 80 0 0 446 0 0 107
normalized size 1 1. 0.66 0. 0. 3.69 0. 0. 0.88
time (sec) N/A 0.313 0.103 0.081 0. 0.284 0. 0. 26.785
Problem 344 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 87 87 63 0 0 288 0 0 76
normalized size 1 1. 0.72 0. 0. 3.31 0. 0. 0.87
time (sec) N/A 0.227 0.134 0.063 0. 0.274 0. 0. 17.78
Problem 345 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 53 53 47 0 0 190 0 0 46
normalized size 1 1. 0.89 0. 0. 3.58 0. 0. 0.87
time (sec) N/A 0.149 0.059 0.044 0. 0.281 0. 0. 10.525
Problem 346 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 22 0 0 57 0 0 20
normalized size 1 1. 1. 0. 0. 2.59 0. 0. 0.91
time (sec) N/A 0.073 0.011 0.043 0. 0.282 0. 0. 5.426
Problem 347 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 27 26 34 104 66 34 20
normalized size 1 1. 1. 0.96 1.26 3.85 2.44 1.26 0.74
time (sec) N/A 0.069 0.018 0.003 0.863 0.259 0.977 0.227 6.386
Problem 348 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 62 62 47 261 194 200 114 0 49
normalized size 1 1. 0.76 4.21 3.13 3.23 1.84 0. 0.79
time (sec) N/A 0.142 0.054 0.088 0.793 0.253 0.514 0. 13.514
Problem 349 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 96 96 64 434 405 358 270 0 83
normalized size 1 1. 0.67 4.52 4.22 3.73 2.81 0. 0.86
time (sec) N/A 0.227 0.066 0.159 0.793 0.262 0.709 0. 22.31
Problem 350 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 123 123 73 641 684 571 484 0 109
normalized size 1 1. 0.59 5.21 5.56 4.64 3.93 0. 0.89
time (sec) N/A 0.308 0.066 0.248 0.84 0.295 0.961 0. 32.708
Problem 351 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 89 889 1040 838 760 0 31
normalized size 1 1. 2.87 28.68 33.55 27.03 24.52 0. 1.
time (sec) N/A 0.072 0.089 0.382 0.829 0.322 1.593 0. 6.611
Problem 352 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 105 733 1465 1165 1096 0 29
normalized size 1 1. 3.39 23.65 47.26 37.58 35.35 0. 0.94
time (sec) N/A 0.072 0.117 0.063 0.827 0.399 4.791 0. 6.668
Problem 353 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 78 0 0 271 0 0 48
normalized size 1 1. 1.59 0. 0. 5.53 0. 0. 0.98
time (sec) N/A 0.075 0.265 0.049 0. 0.258 0. 0. 6.065
Problem 354 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 73 0 0 209 0 0 48
normalized size 1 1. 1.49 0. 0. 4.27 0. 0. 0.98
time (sec) N/A 0.046 0.085 0.032 0. 0.26 0. 0. 4.265
Problem 355 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 47 47 72 0 0 196 0 0 46
normalized size 1 1. 1.53 0. 0. 4.17 0. 0. 0.98
time (sec) N/A 0.018 0.073 0.026 0. 0.269 0. 0. 1.865
Problem 356 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 49 0 0 73 0 0 44
normalized size 1 1. 1. 0. 0. 1.49 0. 0. 0.9
time (sec) N/A 0.078 0.037 0.051 0. 0.266 0. 0. 5.902
Problem 357 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 49 0 0 73 0 0 46
normalized size 1 1. 1. 0. 0. 1.49 0. 0. 0.94
time (sec) N/A 0.077 0.044 0.059 0. 0.276 0. 0. 5.995
Problem 358 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 79 0 0 209 0 0 46
normalized size 1 1. 1.61 0. 0. 4.27 0. 0. 0.94
time (sec) N/A 0.076 0.116 0.089 0. 0.278 0. 0. 5.979
Problem 359 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 61 61 0 0 0 0 0 0 53
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.87
time (sec) N/A 0.064 0.079 0.086 0. 0. 0. 0. 7.102
Problem 360 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 54 0 0 0 0 0 48
normalized size 1 1. 1. 0. 0. 0. 0. 0. 0.89
time (sec) N/A 0.064 0.033 0.055 0. 0. 0. 0. 6.618
Problem 361 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 54 0 0 0 0 0 48
normalized size 1 1. 1. 0. 0. 0. 0. 0. 0.89
time (sec) N/A 0.063 0.03 0.079 0. 0. 0. 0. 6.016
Problem 362 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 54 54 0 0 0 0 0 0 48
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.89
time (sec) N/A 0.04 0.064 0.062 0. 0. 0. 0. 4.541
Problem 363 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-2) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 50 0 0 0 0 0 46
normalized size 1 1. 1. 0. 0. 0. 0. 0. 0.92
time (sec) N/A 0.02 0.025 0.029 0. 0. 0. 0. 2.271
Problem 364 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 22 22 22 26 30 30 0 0 19
normalized size 1 1. 1. 1.18 1.36 1.36 0. 0. 0.86
time (sec) N/A 0.057 0.01 0.056 0.876 0.28 0. 0. 4.984
Problem 365 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 52 52 52 0 0 0 0 0 48
normalized size 1 1. 1. 0. 0. 0. 0. 0. 0.92
time (sec) N/A 0.06 0.03 0.084 0. 0. 0. 0. 5.87
Problem 366 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 54 0 0 0 0 0 49
normalized size 1 1. 1. 0. 0. 0. 0. 0. 0.91
time (sec) N/A 0.06 0.029 0.036 0. 0. 0. 0. 6.19
Problem 367 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 54 0 0 0 0 0 49
normalized size 1 1. 1. 0. 0. 0. 0. 0. 0.91
time (sec) N/A 0.06 0.029 0.034 0. 0. 0. 0. 6.153
Problem 368 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 112 113 174 157 0 0 31
normalized size 1 1. 3.5 3.53 5.44 4.91 0. 0. 0.97
time (sec) N/A 0.064 0.055 0.033 0.807 0.277 0. 0. 6.495
Problem 369 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 94 95 146 132 0 0 29
normalized size 1 1. 3.03 3.06 4.71 4.26 0. 0. 0.94
time (sec) N/A 0.064 0.048 0.033 0.8 0.261 0. 0. 6.322
Problem 370 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 137 76 77 117 108 0 0 119
normalized size 1 1. 0.55 0.56 0.85 0.79 0. 0. 0.87
time (sec) N/A 0.275 0.042 0.032 0.794 0.272 0. 0. 31.312
Problem 371 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 100 100 58 59 89 84 0 0 85
normalized size 1 1. 0.58 0.59 0.89 0.84 0. 0. 0.85
time (sec) N/A 0.193 0.037 0.03 0.828 0.259 0. 0. 21.131
Problem 372 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 40 74 61 59 0 0 49
normalized size 1 1. 0.63 1.17 0.97 0.94 0. 0. 0.78
time (sec) N/A 0.124 0.032 0.083 0.822 0.248 0. 0. 12.176
Problem 373 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 27 27 27 32 36 42 0 36 19
normalized size 1 1. 1. 1.19 1.33 1.56 0. 1.33 0.7
time (sec) N/A 0.057 0.01 0.051 0.777 0.258 0. 0.23 5.718
Problem 374 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 22 22 22 26 30 30 0 0 19
normalized size 1 1. 1. 1.18 1.36 1.36 0. 0. 0.86
time (sec) N/A 0.056 0.009 0. 0.855 0.262 0. 0. 5.228
Problem 375 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 56 56 50 60 0 84 0 0 46
normalized size 1 1. 0.89 1.07 0. 1.5 0. 0. 0.82
time (sec) N/A 0.119 0.064 0.069 0. 0.254 0. 0. 10.211
Problem 376 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 100 100 78 97 0 113 0 0 83
normalized size 1 1. 0.78 0.97 0. 1.13 0. 0. 0.83
time (sec) N/A 0.188 0.072 0.1 0. 0.262 0. 0. 16.296
Problem 377 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 139 139 95 134 0 136 0 0 117
normalized size 1 1. 0.68 0.96 0. 0.98 0. 0. 0.84
time (sec) N/A 0.268 0.089 0.037 0. 0.266 0. 0. 24.544
Problem 378 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 113 171 0 161 0 0 32
normalized size 1 1. 3.53 5.34 0. 5.03 0. 0. 1.
time (sec) N/A 0.066 0.104 0.041 0. 0.264 0. 0. 6.27
Problem 379 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 131 208 0 185 0 0 31
normalized size 1 1. 4.23 6.71 0. 5.97 0. 0. 1.
time (sec) N/A 0.066 0.118 0.043 0. 0.256 0. 0. 6.214
Problem 380 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 47 47 0 36 0 57 0 0 41
normalized size 1 1. 0. 0.77 0. 1.21 0. 0. 0.87
time (sec) N/A 0.078 0.057 0.111 0. 0.262 0. 0. 7.316
Problem 381 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 47 47 0 34 0 54 0 0 41
normalized size 1 1. 0. 0.72 0. 1.15 0. 0. 0.87
time (sec) N/A 0.08 0.054 0.099 0. 0.276 0. 0. 7.674
Problem 382 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 518 518 318 1547 2430 749 0 1 493
normalized size 1 1. 0.61 2.99 4.69 1.45 0. 0. 0.95
time (sec) N/A 1.549 0.792 0.077 1.096 0.283 0. 0.246 131.775
Problem 383 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 389 389 220 998 1755 460 0 872 372
normalized size 1 1. 0.57 2.57 4.51 1.18 0. 2.24 0.96
time (sec) N/A 1.07 0.63 0.065 1.057 0.257 0. 0.248 95.445
Problem 384 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 258 258 148 582 1160 315 0 578 241
normalized size 1 1. 0.57 2.26 4.5 1.22 0. 2.24 0.93
time (sec) N/A 0.713 0.304 0.053 0.965 0.289 0. 0.249 60.953
Problem 385 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 170 170 105 309 699 189 0 351 158
normalized size 1 1. 0.62 1.82 4.11 1.11 0. 2.06 0.93
time (sec) N/A 0.445 0.209 0.043 0.891 0.267 0. 0.249 36.812
Problem 386 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 81 81 74 127 317 135 0 174 73
normalized size 1 1. 0.91 1.57 3.91 1.67 0. 2.15 0.9
time (sec) N/A 0.197 0.097 0.034 0.823 0.26 0. 0.255 15.003
Problem 387 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 44 44 44 44 78 51 0 51 41
normalized size 1 1. 1. 1. 1.77 1.16 0. 1.16 0.93
time (sec) N/A 0.024 0.008 0.002 0.781 0.27 0. 0.259 2.685
Problem 388 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.098 0.337 0.049 0. 0. 0. 0. 0.
Problem 389 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 109 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.249 0.939 0.051 0. 0. 0. 0. 0.
Problem 390 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 200 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.51 1.289 0.057 0. 0. 0. 0. 0.
Problem 391 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 177 177 0 0 0 327 0 0 160
normalized size 1 1. 0. 0. 0. 1.85 0. 0. 0.9
time (sec) N/A 0.273 0.732 0.053 0. 0.256 0. 0. 35.859
Problem 392 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 126 126 0 0 0 254 0 0 114
normalized size 1 1. 0. 0. 0. 2.02 0. 0. 0.9
time (sec) N/A 0.186 0.458 0.04 0. 0.245 0. 0. 24.3
Problem 393 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 92 92 0 0 0 144 0 0 85
normalized size 1 1. 0. 0. 0. 1.57 0. 0. 0.92
time (sec) N/A 0.11 0.583 0.027 0. 0.256 0. 0. 11.222
Problem 394 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 40 0 0 62 0 0 36
normalized size 1 1. 1. 0. 0. 1.55 0. 0. 0.9
time (sec) N/A 0.015 0.003 0.019 0. 0.234 0. 0. 1.696
Problem 395 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.035 0.583 0.052 0. 0. 0. 0. 0.
Problem 396 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A F(-1) A F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 153 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.548 3.098 0.053 0. 0. 0. 0. 0.
Problem 397 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 71 71 66 106 0 120 0 0 65
normalized size 1 1. 0.93 1.49 0. 1.69 0. 0. 0.92
time (sec) N/A 0.621 0.086 0.043 0. 0.283 0. 0. 27.42
Problem 398 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F(-1) F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 116 116 116 196 0 242 0 0 0
normalized size 1 1. 1. 1.69 0. 2.09 0. 0. 0.
time (sec) N/A 1.562 0.318 0.044 0. 0.279 0. 0. 0.
Problem 399 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F(-1) F F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 267 267 0 521 0 749 0 0 0
normalized size 1 1. 0. 1.95 0. 2.81 0. 0. 0.
time (sec) N/A 3.075 0.553 0.069 0. 0.292 0. 0. 0.
Problem 400 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F(-1) F F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 460 460 0 952 0 1858 0 0 0
normalized size 1 1. 0. 2.07 0. 4.04 0. 0. 0.
time (sec) N/A 6.212 0.312 0.115 0. 0.284 0. 0. 0.
Problem 401 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 346 346 468 1146 0 861 0 0 311
normalized size 1 1. 1.35 3.31 0. 2.49 0. 0. 0.9
time (sec) N/A 0.613 0.632 0.016 0. 0.255 0. 0. 81.988
Problem 402 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 320 320 292 682 0 509 0 0 282
normalized size 1 1. 0.91 2.13 0. 1.59 0. 0. 0.88
time (sec) N/A 0.545 0.377 0.013 0. 0.268 0. 0. 64.407
Problem 403 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 255 255 170 356 0 266 0 0 219
normalized size 1 1. 0.67 1.4 0. 1.04 0. 0. 0.86
time (sec) N/A 0.441 0.221 0.012 0. 0.266 0. 0. 44.845
Problem 404 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 125 125 91 150 0 112 0 0 105
normalized size 1 1. 0.73 1.2 0. 0.9 0. 0. 0.84
time (sec) N/A 0.221 0.111 0.007 0. 0.273 0. 0. 19.811
Problem 405 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 37 37 37 42 0 47 0 0 26
normalized size 1 1. 1. 1.14 0. 1.27 0. 0. 0.7
time (sec) N/A 0.052 0.012 0.006 0. 0.254 0. 0. 5.853
Problem 406 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 62 62 56 79 0 96 0 0 44
normalized size 1 1. 0.9 1.27 0. 1.55 0. 0. 0.71
time (sec) N/A 0.311 0.05 0.016 0. 0.255 0. 0. 25.195
Problem 407 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 107 107 105 97 0 208 0 0 0
normalized size 1 1. 0.98 0.91 0. 1.94 0. 0. 0.
time (sec) N/A 0.855 0.134 0.013 0. 0.256 0. 0. 0.
Problem 408 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F F F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 240 240 0 240 0 698 0 0 0
normalized size 1 1. 0. 1. 0. 2.91 0. 0. 0.
time (sec) N/A 1.714 0.337 0.013 0. 0.257 0. 0. 0.
Problem 409 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 322 322 243 560 0 450 0 0 298
normalized size 1 1. 0.75 1.74 0. 1.4 0. 0. 0.93
time (sec) N/A 0.602 0.356 0.023 0. 0.284 0. 0. 66.527
Problem 410 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 215 215 176 313 0 292 0 0 197
normalized size 1 1. 0.82 1.46 0. 1.36 0. 0. 0.92
time (sec) N/A 0.398 0.223 0.015 0. 0.256 0. 0. 43.965
Problem 411 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 111 111 85 140 0 182 0 0 99
normalized size 1 1. 0.77 1.26 0. 1.64 0. 0. 0.89
time (sec) N/A 0.216 0.128 0.01 0. 0.251 0. 0. 23.266
Problem 412 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 50 50 50 48 0 104 0 0 39
normalized size 1 1. 1. 0.96 0. 2.08 0. 0. 0.78
time (sec) N/A 0.063 0.017 0.007 0. 0.257 0. 0. 7.349
Problem 413 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.037 0.034 0.072 0. 0. 0. 0. 0.
Problem 414 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.09 0.175 0.091 0. 0. 0. 0. 0.
Problem 415 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.084 0.103 0.119 0. 0. 0. 0. 0.
Problem 416 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 206 206 279 0 0 505 0 0 196
normalized size 1 1. 1.35 0. 0. 2.45 0. 0. 0.95
time (sec) N/A 0.324 1.055 0.065 0. 0.271 0. 0. 42.635
Problem 417 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 151 151 184 0 0 370 0 0 143
normalized size 1 1. 1.22 0. 0. 2.45 0. 0. 0.95
time (sec) N/A 0.235 1.443 0.053 0. 0.261 0. 0. 29.995
Problem 418 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 92 92 111 0 0 240 0 0 87
normalized size 1 1. 1.21 0. 0. 2.61 0. 0. 0.95
time (sec) N/A 0.11 0.421 0.038 0. 0.249 0. 0. 11.46
Problem 419 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 61 0 0 136 0 0 36
normalized size 1 1. 1.52 0. 0. 3.4 0. 0. 0.9
time (sec) N/A 0.015 0.005 0.023 0. 0.256 0. 0. 1.791
Problem 420 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.037 0.023 0.07 0. 0. 0. 0. 0.
Problem 421 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.09 0.275 0.084 0. 0. 0. 0. 0.
Problem 422 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 104 104 103 432 0 182 0 0 90
normalized size 1 1. 0.99 4.15 0. 1.75 0. 0. 0.87
time (sec) N/A 1.602 0.224 0.055 0. 0.307 0. 0. 39.345
Problem 423 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F(-1) F F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 159 159 0 560 0 297 0 0 0
normalized size 1 1. 0. 3.52 0. 1.87 0. 0. 0.
time (sec) N/A 3.633 0.576 0.05 0. 0.264 0. 0. 0.
Problem 424 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F(-1) F F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 366 366 0 1934 0 1019 0 0 0
normalized size 1 1. 0. 5.28 0. 2.78 0. 0. 0.
time (sec) N/A 7.404 0.316 0.095 0. 0.337 0. 0. 0.
Problem 425 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F(-1) F F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 634 634 0 4471 0 3038 0 0 0
normalized size 1 1. 0. 7.05 0. 4.79 0. 0. 0.
time (sec) N/A 14.46 0.607 0.162 0. 0.282 0. 0. 0.
Problem 426 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 217 217 122 214 344 159 0 185 0
normalized size 1 1. 0.56 0.99 1.59 0.73 0. 0.85 0.
time (sec) N/A 0.364 0.239 0.103 0.881 0.249 0. 0.3 0.
Problem 427 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 164 164 104 165 285 130 0 146 0
normalized size 1 1. 0.63 1.01 1.74 0.79 0. 0.89 0.
time (sec) N/A 0.167 0.152 0.039 0.908 0.274 0. 0.248 0.
Problem 428 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 81 81 81 80 182 109 0 108 0
normalized size 1 1. 1. 0.99 2.25 1.35 0. 1.33 0.
time (sec) N/A 0.068 0.071 0.033 0.812 0.258 0. 0.26 0.
Problem 429 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 56 56 56 54 68 65 0 68 0
normalized size 1 1. 1. 0.96 1.21 1.16 0. 1.21 0.
time (sec) N/A 0.031 0.012 0.029 0.808 0.263 0. 0.255 0.
Problem 430 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 19 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.039 0.132 0.016 0. 0. 0. 0. 0.
Problem 431 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 94 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.119 0.42 0.025 0. 0. 0. 0. 0.
Problem 432 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 181 181 91 194 244 112 0 140 0
normalized size 1 1. 0.5 1.07 1.35 0.62 0. 0.77 0.
time (sec) N/A 0.288 0.306 0.01 0.814 0.271 0. 0.228 0.
Problem 433 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 134 134 79 111 204 92 0 108 0
normalized size 1 1. 0.59 0.83 1.52 0.69 0. 0.81 0.
time (sec) N/A 0.14 0.172 0.009 0.861 0.254 0. 0.258 0.
Problem 434 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 66 66 68 53 132 76 0 78 0
normalized size 1 1. 1.03 0.8 2. 1.15 0. 1.18 0.
time (sec) N/A 0.057 0.052 0.004 0.819 0.381 0. 0.257 0.
Problem 435 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 46 34 43 49 0 51 0
normalized size 1 1. 1.05 0.77 0.98 1.11 0. 1.16 0.
time (sec) N/A 0.023 0.008 0.004 0.78 0.285 0. 0.248 0.
Problem 436 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 20 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.042 0.156 0.02 0. 0. 0. 0. 0.
Problem 437 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 82 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.112 0.26 0.024 0. 0. 0. 0. 0.
Problem 438 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 297 297 191 368 360 278 0 338 0
normalized size 1 1. 0.64 1.24 1.21 0.94 0. 1.14 0.
time (sec) N/A 1.012 0.565 0.014 0.858 0.259 0. 0.252 0.
Problem 439 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 216 216 144 212 298 194 0 205 0
normalized size 1 1. 0.67 0.98 1.38 0.9 0. 0.95 0.
time (sec) N/A 0.461 0.278 0.008 0.862 0.237 0. 0.246 0.
Problem 440 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 107 107 116 102 193 150 0 140 0
normalized size 1 1. 1.08 0.95 1.8 1.4 0. 1.31 0.
time (sec) N/A 0.187 0.125 0.004 0.828 0.296 0. 0.235 0.
Problem 441 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 68 68 68 60 78 92 0 92 0
normalized size 1 1. 1. 0.88 1.15 1.35 0. 1.35 0.
time (sec) N/A 0.05 0.022 0.004 0.758 0.289 0. 0.272 0.
Problem 442 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 28 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.2 0.683 0.023 0. 0. 0. 0. 0.
Problem 443 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 128 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.423 0.754 0.026 0. 0. 0. 0. 0.
Problem 444 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 266 266 169 553 899 284 0 541 0
normalized size 1 1. 0.64 2.08 3.38 1.07 0. 2.03 0.
time (sec) N/A 0.599 0.328 0.059 1.069 0.266 0. 0.255 0.
Problem 445 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 189 189 123 314 547 177 0 340 0
normalized size 1 1. 0.65 1.66 2.89 0.94 0. 1.8 0.
time (sec) N/A 0.235 0.195 0.044 0.929 0.307 0. 0.269 0.
Problem 446 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 90 90 96 136 254 122 0 184 0
normalized size 1 1. 1.07 1.51 2.82 1.36 0. 2.04 0.
time (sec) N/A 0.097 0.097 0.034 0.855 0.255 0. 0.225 0.
Problem 447 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 23 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.048 0.271 0.04 0. 0. 0. 0. 0.
Problem 448 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 120 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.186 1.096 0.049 0. 0. 0. 0. 0.
Problem 449 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 207 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.376 1.006 0.073 0. 0. 0. 0. 0.
Problem 450 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 31 45 899 55 85 59 42
normalized size 1 1. 0.69 1. 19.98 1.22 1.89 1.31 0.93
time (sec) N/A 0.089 0.041 0.01 0.914 0.244 0.178 0.241 8.303
Problem 451 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 86 97 547 109 0 119 0
normalized size 1 1. 1.1 1.24 7.01 1.4 0. 1.53 0.
time (sec) N/A 0.099 0.068 0.039 0.87 0.268 0. 0.351 0.
Problem 452 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 18 23 23 24 23 14
normalized size 1 1. 1. 1.06 1.35 1.35 1.41 1.35 0.82
time (sec) N/A 0.029 0.009 0.003 0.751 0.249 0.12 0.312 3.548
Problem 453 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 39 39 39 40 0 63 0 0 29
normalized size 1 1. 1. 1.03 0. 1.62 0. 0. 0.74
time (sec) N/A 0.06 0.02 0.026 0. 0.265 0. 0. 5.741
Problem 454 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 84 84 96 81 0 123 0 0 0
normalized size 1 1. 1.14 0.96 0. 1.46 0. 0. 0.
time (sec) N/A 0.095 0.065 0.075 0. 0.272 0. 0. 0.
Problem 455 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 69 69 79 68 0 143 0 0 58
normalized size 1 1. 1.14 0.99 0. 2.07 0. 0. 0.84
time (sec) N/A 0.114 0.052 0.039 0. 0.265 0. 0. 10.862
Problem 456 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 29 44 883 54 83 54 39
normalized size 1 1. 0.67 1.02 20.53 1.26 1.93 1.26 0.91
time (sec) N/A 0.071 0.027 0.006 0.886 0.266 0.178 0.23 8.129
Problem 457 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 75 75 84 84 535 101 0 103 0
normalized size 1 1. 1.12 1.12 7.13 1.35 0. 1.37 0.
time (sec) N/A 0.101 0.038 0.043 0.895 0.266 0. 0.235 0.
Problem 458 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 17 22 22 22 22 12
normalized size 1 1. 1. 1.06 1.38 1.38 1.38 1.38 0.75
time (sec) N/A 0.025 0.006 0.003 0.787 0.276 0.118 0.242 3.49
Problem 459 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 37 37 37 33 0 57 0 0 27
normalized size 1 1. 1. 0.89 0. 1.54 0. 0. 0.73
time (sec) N/A 0.049 0.014 0.023 0. 0.252 0. 0. 5.425
Problem 460 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 81 81 94 71 0 115 0 0 0
normalized size 1 1. 1.16 0.88 0. 1.42 0. 0. 0.
time (sec) N/A 0.085 0.027 0.043 0. 0.285 0. 0. 0.
Problem 461 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 66 66 77 58 0 135 0 0 54
normalized size 1 1. 1.17 0.88 0. 2.05 0. 0. 0.82
time (sec) N/A 0.097 0.03 0.035 0. 0.262 0. 0. 10.282
Problem 462 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 145 145 133 142 0 165 0 0 126
normalized size 1 1. 0.92 0.98 0. 1.14 0. 0. 0.87
time (sec) N/A 0.576 0.232 0.037 0. 0.265 0. 0. 54.354
Problem 463 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 111 111 93 112 0 108 0 0 94
normalized size 1 1. 0.84 1.01 0. 0.97 0. 0. 0.85
time (sec) N/A 0.399 0.094 0.026 0. 0.268 0. 0. 43.15
Problem 464 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 118 118 94 102 0 116 0 0 104
normalized size 1 1. 0.8 0.86 0. 0.98 0. 0. 0.88
time (sec) N/A 0.216 0.032 0.017 0. 0.346 0. 0. 29.965
Problem 465 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 100 100 83 323 0 97 0 0 83
normalized size 1 1. 0.83 3.23 0. 0.97 0. 0. 0.83
time (sec) N/A 0.216 0.035 0.016 0. 0.274 0. 0. 25.997
Problem 466 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 132 132 120 660 0 155 0 0 114
normalized size 1 1. 0.91 5. 0. 1.17 0. 0. 0.86
time (sec) N/A 0.415 0.118 0.021 0. 0.336 0. 0. 49.549
Problem 467 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 212 212 232 561 0 382 0 0 216
normalized size 1 1. 1.09 2.65 0. 1.8 0. 0. 1.02
time (sec) N/A 1.038 1.363 0.039 0. 0.274 0. 0. 74.701
Problem 468 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 169 169 163 369 0 324 0 0 170
normalized size 1 1. 0.96 2.18 0. 1.92 0. 0. 1.01
time (sec) N/A 0.706 0.643 0.027 0. 0.261 0. 0. 58.194
Problem 469 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 138 138 127 169 0 223 0 0 126
normalized size 1 1. 0.92 1.22 0. 1.62 0. 0. 0.91
time (sec) N/A 0.314 0.139 0.018 0. 0.248 0. 0. 34.254
Problem 470 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 158 158 153 685 0 285 0 0 160
normalized size 1 1. 0.97 4.34 0. 1.8 0. 0. 1.01
time (sec) N/A 0.371 0.208 0.019 0. 0.239 0. 0. 33.592
Problem 471 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 186 186 217 1730 0 358 0 0 190
normalized size 1 1. 1.17 9.3 0. 1.92 0. 0. 1.02
time (sec) N/A 0.736 0.556 0.024 0. 0.255 0. 0. 64.547
Problem 472 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 232 232 268 3532 0 413 0 0 231
normalized size 1 1. 1.16 15.22 0. 1.78 0. 0. 1.
time (sec) N/A 0.89 0.609 0.031 0. 0.266 0. 0. 70.803
Problem 473 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 30 30 28 35 41 34 31 0 0
normalized size 1 1. 0.93 1.17 1.37 1.13 1.03 0. 0.
time (sec) N/A 0.064 0.03 0.023 0.855 0.251 0.169 0. 0.
Problem 474 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 30 30 28 35 41 34 31 42 0
normalized size 1 1. 0.93 1.17 1.37 1.13 1.03 1.4 0.
time (sec) N/A 0.058 0.008 0.012 0.852 0.259 0.17 0.24 0.
Problem 475 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 29 37 45 36 34 0 0
normalized size 1 1. 0.91 1.16 1.41 1.12 1.06 0. 0.
time (sec) N/A 0.064 0.033 0.022 0.842 0.255 0.187 0. 0.
Problem 476 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 29 37 45 36 34 46 0
normalized size 1 1. 0.91 1.16 1.41 1.12 1.06 1.44 0.
time (sec) N/A 0.061 0.009 0.015 0.875 0.268 0.188 0.25 0.
Problem 477 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 58 58 39 54 80 53 92 0 58
normalized size 1 1. 0.67 0.93 1.38 0.91 1.59 0. 1.
time (sec) N/A 0.104 0.047 0.023 0.843 0.247 0.684 0. 13.208
Problem 478 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 58 58 39 54 80 53 92 65 58
normalized size 1 1. 0.67 0.93 1.38 0.91 1.59 1.12 1.
time (sec) N/A 0.091 0.01 0.016 0.756 0.266 0.267 0.232 13.138
Problem 479 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 58 58 40 55 78 55 92 0 58
normalized size 1 1. 0.69 0.95 1.34 0.95 1.59 0. 1.
time (sec) N/A 0.096 0.046 0.016 0.873 0.255 0.7 0. 13.582
Problem 480 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 58 58 40 55 78 55 92 68 58
normalized size 1 1. 0.69 0.95 1.34 0.95 1.59 1.17 1.
time (sec) N/A 0.094 0.011 0.014 0.756 0.254 0.273 0.229 13.554
Problem 481 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 30 30 30 53 0 1 24 0 27
normalized size 1 1. 1. 1.77 0. 0.03 0.8 0. 0.9
time (sec) N/A 0.055 0.012 0.041 0. 0.278 0.201 0. 7.453
Problem 482 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 30 30 30 53 0 1 24 28 27
normalized size 1 1. 1. 1.77 0. 0.03 0.8 0.93 0.9
time (sec) N/A 0.048 0.007 0.039 0. 0.257 0.203 0.228 7.982
Problem 483 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 30 30 30 49 0 1 24 0 27
normalized size 1 1. 1. 1.63 0. 0.03 0.8 0. 0.9
time (sec) N/A 0.05 0.01 0.039 0. 0.271 0.22 0. 8.06
Problem 484 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 30 30 30 49 0 1 24 32 27
normalized size 1 1. 1. 1.63 0. 0.03 0.8 1.07 0.9
time (sec) N/A 0.051 0.008 0.032 0. 0.276 0.223 0.247 8.545
Problem 485 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F(-2) A A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 43 43 36 74 0 1 39 0 36
normalized size 1 1. 0.84 1.72 0. 0.02 0.91 0. 0.84
time (sec) N/A 0.076 0.034 0.045 0. 0.265 0.25 0. 11.41
Problem 486 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F(-2) A A A A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 43 43 36 74 0 1 44 51 36
normalized size 1 1. 0.84 1.72 0. 0.02 1.02 1.19 0.84
time (sec) N/A 0.073 0.017 0.034 0. 0.261 0.279 0.244 11.7
Problem 487 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F(-2) A A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 43 43 36 70 0 1 39 0 36
normalized size 1 1. 0.84 1.63 0. 0.02 0.91 0. 0.84
time (sec) N/A 0.077 0.033 0.042 0. 0.272 0.26 0. 12.504
Problem 488 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C A F(-2) A A A A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 43 43 36 70 0 1 44 53 36
normalized size 1 1. 0.84 1.63 0. 0.02 1.02 1.23 0.84
time (sec) N/A 0.078 0.013 0.036 0. 0.299 0.297 0.223 12.814
Problem 489 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 36 0 0 1 85 0 29
normalized size 1 1. 1.16 0. 0. 0.03 2.74 0. 0.94
time (sec) N/A 0.063 0.052 0.032 0. 0.276 1.153 0. 6.971
Problem 490 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 36 0 0 1 85 42 29
normalized size 1 1. 1.16 0. 0. 0.03 2.74 1.35 0.94
time (sec) N/A 0.061 0.021 0.021 0. 0.265 1.158 0.247 7.409
Problem 491 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 34 0 0 1 87 0 29
normalized size 1 1. 1.06 0. 0. 0.03 2.72 0. 0.91
time (sec) N/A 0.063 0.043 0.029 0. 0.291 1.172 0. 7.21
Problem 492 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 34 0 0 1 87 49 29
normalized size 1 1. 1.06 0. 0. 0.03 2.72 1.53 0.91
time (sec) N/A 0.065 0.025 0.022 0. 0.301 1.182 0.24 7.617
Problem 493 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 35 40 32 41 0 0 19
normalized size 1 1. 1.46 1.67 1.33 1.71 0. 0. 0.79
time (sec) N/A 0.076 0.048 0.043 0.851 0.275 0. 0. 5.846
Problem 494 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 24 24 35 40 32 41 0 39 19
normalized size 1 1. 1.46 1.67 1.33 1.71 0. 1.62 0.79
time (sec) N/A 0.074 0.008 0.03 0.789 0.266 0. 0.22 6.146
Problem 495 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 38 44 34 43 0 0 19
normalized size 1 1. 1.52 1.76 1.36 1.72 0. 0. 0.76
time (sec) N/A 0.078 0.048 0.033 0.85 0.277 0. 0. 6.212
Problem 496 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 38 44 34 43 0 45 19
normalized size 1 1. 1.52 1.76 1.36 1.72 0. 1.8 0.76
time (sec) N/A 0.078 0.008 0.026 0.742 0.262 0. 0.259 6.44
Problem 497 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 56 29 92 36 56 0 39
normalized size 1 1. 1.27 0.66 2.09 0.82 1.27 0. 0.89
time (sec) N/A 0.074 0.099 0.023 0.913 0.269 1.63 0. 9.339
Problem 498 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 56 29 51 36 58 42 39
normalized size 1 1. 1.27 0.66 1.16 0.82 1.32 0.95 0.89
time (sec) N/A 0.077 0.021 0.016 0.813 0.259 1.637 0.234 9.346
Problem 499 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 57 29 96 38 58 0 39
normalized size 1 1. 1.24 0.63 2.09 0.83 1.26 0. 0.85
time (sec) N/A 0.079 0.101 0.024 0.903 0.243 1.627 0. 10.061
Problem 500 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 57 29 54 38 60 45 39
normalized size 1 1. 1.24 0.63 1.17 0.83 1.3 0.98 0.85
time (sec) N/A 0.083 0.02 0.018 0.772 0.255 1.628 0.244 10.111
Problem 501 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 93 93 114 0 0 1 0 0 78
normalized size 1 1. 1.23 0. 0. 0.01 0. 0. 0.84
time (sec) N/A 0.152 0.134 0.036 0. 0.263 0. 0. 12.538
Problem 502 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 93 93 114 0 0 1 0 127 78
normalized size 1 1. 1.23 0. 0. 0.01 0. 1.37 0.84
time (sec) N/A 0.15 0.032 0.023 0. 0.251 0. 0.298 12.527
Problem 503 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 96 96 118 0 0 1 0 0 78
normalized size 1 1. 1.23 0. 0. 0.01 0. 0. 0.81
time (sec) N/A 0.155 0.119 0.032 0. 0.267 0. 0. 13.454
Problem 504 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 96 96 118 0 0 1 0 135 78
normalized size 1 1. 1.23 0. 0. 0.01 0. 1.41 0.81
time (sec) N/A 0.161 0.051 0.022 0. 0.268 0. 0.298 13.371
Problem 505 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 18 20 34 14 20 17
normalized size 1 1. 1. 1.06 1.18 2. 0.82 1.18 1.
time (sec) N/A 0.029 0.017 0.013 0.781 0.247 0.065 0.238 7.384
Problem 506 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 24 24 24 21 24 24 17 24 0
normalized size 1 1. 1. 0.88 1. 1. 0.71 1. 0.
time (sec) N/A 0.041 0.009 0.012 0.812 0.269 0.106 0.274 0.
Problem 507 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 56 56 44 35 58 88 22 62 65
normalized size 1 1. 0.79 0.62 1.04 1.57 0.39 1.11 1.16
time (sec) N/A 0.068 0.072 0.009 0.85 0.274 0.129 0.256 8.971
Problem 508 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 44 37 46 57 24 46 42
normalized size 1 1. 1. 0.84 1.05 1.3 0.55 1.05 0.95
time (sec) N/A 0.071 0.052 0.009 0.856 0.293 0.128 0.251 10.48
Problem 509 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 67 67 66 66 0 1 63 85 61
normalized size 1 1. 0.99 0.99 0. 0.01 0.94 1.27 0.91
time (sec) N/A 0.116 0.192 0.014 0. 0.289 0.596 0.354 21.992
Problem 510 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 38 38 50 66 0 0 0
normalized size 1 1. 0.86 0.86 1.14 1.5 0. 0. 0.
time (sec) N/A 0.191 0.071 0.016 0.79 0.264 0. 0. 0.
Problem 511 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 54 41 51 51 0 0 39
normalized size 1 1. 1. 0.76 0.94 0.94 0. 0. 0.72
time (sec) N/A 0.182 0.017 0.01 0.846 0.25 0. 0. 17.346
Problem 512 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 180 180 119 183 0 162 0 0 129
normalized size 1 1. 0.66 1.02 0. 0.9 0. 0. 0.72
time (sec) N/A 0.297 0.287 0.018 0. 0.257 0. 0. 18.737
Problem 513 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 204 204 146 235 0 208 0 0 122
normalized size 1 1. 0.72 1.15 0. 1.02 0. 0. 0.6
time (sec) N/A 0.311 0.167 0.016 0. 0.267 0. 0. 26.759
Problem 514 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 276 276 205 378 0 456 0 0 199
normalized size 1 1. 0.74 1.37 0. 1.65 0. 0. 0.72
time (sec) N/A 0.708 0.323 0.022 0. 0.26 0. 0. 34.043
Problem 515 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 72 72 57 65 84 103 0 0 0
normalized size 1 1. 0.79 0.9 1.17 1.43 0. 0. 0.
time (sec) N/A 0.342 0.138 0.044 0.845 0.254 0. 0. 0.
Problem 516 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 77 62 80 80 0 0 65
normalized size 1 1. 1. 0.81 1.04 1.04 0. 0. 0.84
time (sec) N/A 0.31 0.019 0.01 0.847 0.258 0. 0. 25.826
Problem 517 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 259 259 252 0 0 238 0 0 199
normalized size 1 1. 0.97 0. 0. 0.92 0. 0. 0.77
time (sec) N/A 0.456 0.2 0.036 0. 0.304 0. 0. 33.79
Problem 518 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 293 293 304 0 0 300 0 0 189
normalized size 1 1. 1.04 0. 0. 1.02 0. 0. 0.65
time (sec) N/A 0.47 0.136 0.036 0. 0.3 0. 0. 45.713
Problem 519 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 391 391 407 0 0 632 0 0 304
normalized size 1 1. 1.04 0. 0. 1.62 0. 0. 0.78
time (sec) N/A 0.992 0.255 0.04 0. 0.293 0. 0. 66.489
Problem 520 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 40 68 74 80 34 0 0
normalized size 1 1. 1. 1.7 1.85 2. 0.85 0. 0.
time (sec) N/A 0.048 0.075 0.024 0.753 0.281 0.121 0. 0.
Problem 521 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 94 94 93 547 0 1 104 0 138
normalized size 1 1. 0.99 5.82 0. 0.01 1.11 0. 1.47
time (sec) N/A 0.162 0.218 0.322 0. 0.312 0.649 0. 31.74
Problem 522 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 94 94 93 546 0 1 112 0 138
normalized size 1 1. 0.99 5.81 0. 0.01 1.19 0. 1.47
time (sec) N/A 0.151 0.215 0.108 0. 0.365 0.608 0. 31.588
Problem 523 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 96 96 88 134 154 193 0 0 0
normalized size 1 1. 0.92 1.4 1.6 2.01 0. 0. 0.
time (sec) N/A 0.37 0.25 0.044 0.803 0.268 0. 0. 0.
Problem 524 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A F C F(-2) A F F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 338 338 0 836 0 752 0 0 246
normalized size 1 1. 0. 2.47 0. 2.22 0. 0. 0.73
time (sec) N/A 1.039 179.997 0.037 0. 0.287 0. 0. 54.595
Problem 525 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 145 145 123 221 211 284 0 0 0
normalized size 1 1. 0.85 1.52 1.46 1.96 0. 0. 0.
time (sec) N/A 0.647 0.348 0.039 0.789 0.307 0. 0. 0.
Problem 526 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 484 484 0 0 0 1018 0 0 379
normalized size 1 1. 0. 0. 0. 2.1 0. 0. 0.78
time (sec) N/A 1.403 19.388 0.059 0. 0.302 0. 0. 98.92
Problem 527 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 102 993 0 1 148 0 148
normalized size 1 1. 0.99 9.64 0. 0.01 1.44 0. 1.44
time (sec) N/A 0.285 0.283 0.215 0. 0.42 1.309 0. 57.195
Problem 528 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 102 993 0 1 148 0 148
normalized size 1 1. 0.99 9.64 0. 0.01 1.44 0. 1.44
time (sec) N/A 0.262 0.034 0. 0. 0.394 1.335 0. 57.228
Problem 529 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 9 9 9 9 11 11 7 11 20
normalized size 1 1. 1. 1. 1.22 1.22 0.78 1.22 2.22
time (sec) N/A 0.018 0.005 0.007 0.816 0.23 0.051 0.235 4.218
Problem 530 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 20 20 20 19 24 31 14 38 0
normalized size 1 1. 1. 0.95 1.2 1.55 0.7 1.9 0.
time (sec) N/A 0.204 0.018 0.012 0.76 0.245 0.076 0.246 0.
Problem 531 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 33 32 41 51 0 0 0
normalized size 1 1. 0.97 0.94 1.21 1.5 0. 0. 0.
time (sec) N/A 0.378 0.057 0.031 0.815 0.258 0. 0. 0.
Problem 532 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 20 25 30 27 19 0 53
normalized size 1 1. 1. 1.25 1.5 1.35 0.95 0. 2.65
time (sec) N/A 0.034 0.018 0.021 0.783 0.263 0.099 0. 7.264
Problem 533 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 44 64 77 82 42 0 0
normalized size 1 1. 0.88 1.28 1.54 1.64 0.84 0. 0.
time (sec) N/A 0.437 0.054 0.023 0.795 0.255 0.153 0. 0.
Problem 534 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 75 75 63 129 109 154 0 0 0
normalized size 1 1. 0.84 1.72 1.45 2.05 0. 0. 0.
time (sec) N/A 0.755 0.146 0.043 0.888 0.254 0. 0. 0.
Problem 535 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 13 13 13 14 19 18 10 18 24
normalized size 1 1. 1. 1.08 1.46 1.38 0.77 1.38 1.85
time (sec) N/A 0.021 0.009 0.006 0.815 0.245 0.075 0.264 4.349
Problem 536 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 21 18 26 23 17 24 17
normalized size 1 1. 0.91 0.78 1.13 1. 0.74 1.04 0.74
time (sec) N/A 0.032 0.014 0.009 0.785 0.251 0.116 0.252 5.723
Problem 537 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 36 36 40 36 0 1 36 47 36
normalized size 1 1. 1.11 1. 0. 0.03 1. 1.31 1.
time (sec) N/A 0.109 0.035 0.007 0. 0.254 0.317 0.23 9.868
Problem 538 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 159 159 123 180 0 369 0 0 144
normalized size 1 1. 0.77 1.13 0. 2.32 0. 0. 0.91
time (sec) N/A 0.485 0.144 0.017 0. 0.261 0. 0. 49.208
Problem 539 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 244 244 185 0 0 500 0 0 230
normalized size 1 1. 0.76 0. 0. 2.05 0. 0. 0.94
time (sec) N/A 0.797 0.076 0.026 0. 0.267 0. 0. 82.792
Problem 540 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 47 47 51 135 0 1 66 0 60
normalized size 1 1. 1.09 2.87 0. 0.02 1.4 0. 1.28
time (sec) N/A 0.123 0.073 0.044 0. 0.279 0.487 0. 14.255
Problem 541 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F(-2) A F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 203 203 0 426 0 558 0 0 185
normalized size 1 1. 0. 2.1 0. 2.75 0. 0. 0.91
time (sec) N/A 0.634 10.368 0.048 0. 0.305 0. 0. 71.122
Problem 542 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F(-2) A F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 310 310 0 0 0 741 0 0 294
normalized size 1 1. 0. 0. 0. 2.39 0. 0. 0.95
time (sec) N/A 1.077 2.082 0.053 0. 0.277 0. 0. 112.9
Problem 543 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A F(-2) F(-1) A F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 53 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.227 0.254 0.087 0. 0. 0. 0. 0.
Problem 544 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F(-1) F F F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 154 154 0 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.413 1.126 0.068 0. 0. 0. 0. 0.
Problem 545 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 N/A TBD TBD TBD TBD TBD TBD
size 112 112 0 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.369 0.632 0.068 0. 0. 0. 0. 0.
Problem 546 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 N/A TBD TBD TBD TBD TBD TBD
size 70 70 0 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.202 0.366 0.067 0. 0. 0. 0. 0.
Problem 547 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 36 36 26 37 49 35 128 0 31
normalized size 1 1. 0.72 1.03 1.36 0.97 3.56 0. 0.86
time (sec) N/A 0.029 0.015 0.01 0.808 0.265 0.467 0. 5.351
Problem 548 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A F(-1) A F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 53 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.239 0.174 0.069 0. 0. 0. 0. 0.
Problem 549 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A F(-2) F(-1) A F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 53 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.227 1.521 0.069 0. 0. 0. 0. 0.
Problem 550 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A F(-2) F(-1) A F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 50 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.355 0.223 0.043 0. 0. 0. 0. 0.
Problem 551 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 N/A TBD TBD TBD TBD TBD TBD
size 152 152 0 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.515 0.876 0.024 0. 0. 0. 0. 0.
Problem 552 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 N/A TBD TBD TBD TBD TBD TBD
size 110 110 0 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.483 0.599 0.026 0. 0. 0. 0. 0.
Problem 553 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 N/A TBD TBD TBD TBD TBD TBD
size 68 68 0 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.286 0.275 0.023 0. 0. 0. 0. 0.
Problem 554 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 14 14 14 32 42 34 20 51 8
normalized size 1 1. 1. 2.29 3. 2.43 1.43 3.64 0.57
time (sec) N/A 0.017 0.004 0.007 0.785 0.249 0.15 0.229 6.519
Problem 555 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A A A F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 50 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.357 0.195 0.024 0. 0. 0. 0. 0.
Problem 556 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A F(-2) F(-2) F(-1) A F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 50 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.34 1.646 0.024 0. 0. 0. 0. 0.
Problem 557 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 77 0 0 34 0 0 66
normalized size 1 1. 1. 0. 0. 0.44 0. 0. 0.86
time (sec) N/A 0.394 0.156 0.075 0. 0.462 0. 0. 18.833
Problem 558 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 29 0 0 34 0 0 26
normalized size 1 1. 1. 0. 0. 1.17 0. 0. 0.9
time (sec) N/A 0.174 0.1 0.036 0. 0.432 0. 0. 11.978
Problem 559 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 29 0 0 34 0 0 26
normalized size 1 1. 1. 0. 0. 1.17 0. 0. 0.9
time (sec) N/A 0.175 0.096 0.019 0. 0.467 0. 0. 12.065
Problem 560 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 28 28 28 0 0 32 0 0 24
normalized size 1 1. 1. 0. 0. 1.14 0. 0. 0.86
time (sec) N/A 0.157 0.085 0.019 0. 0.369 0. 0. 11.308
Problem 561 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 29 29 29 0 0 0 0 0 26
normalized size 1 1. 1. 0. 0. 0. 0. 0. 0.9
time (sec) N/A 0.173 0.095 0.019 0. 0. 0. 0. 12.101
Problem 562 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 29 0 0 0 0 0 27
normalized size 1 1. 1. 0. 0. 0. 0. 0. 0.93
time (sec) N/A 0.174 0.095 0.017 0. 0. 0. 0. 11.864
Problem 563 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 35 69 90 96 279 1 61
normalized size 1 1. 0.71 1.41 1.84 1.96 5.69 0.02 1.24
time (sec) N/A 0.098 0.023 0.012 0.865 0.247 3.574 0.263 13.239
Problem 564 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 26 25 50 46 97 1 36
normalized size 1 1. 0.84 0.81 1.61 1.48 3.13 0.03 1.16
time (sec) N/A 0.047 0.01 0.009 0.768 0.249 1.804 0.238 7.276
Problem 565 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 14 14 14 15 0 19 24 327 15
normalized size 1 1. 1. 1.07 0. 1.36 1.71 23.36 1.07
time (sec) N/A 0.021 0.004 0.003 0. 0.244 0.954 0.243 3.521
Problem 566 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C A A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 8 8 10 56 11 14 0 0 8
normalized size 1 1. 1.25 7. 1.38 1.75 0. 0. 1.
time (sec) N/A 0.062 0.004 0.046 0.833 0.244 0. 0. 8.759
Problem 567 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C A A F F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 26 26 0 160 22 46 0 0 27
normalized size 1 1. 0. 6.15 0.85 1.77 0. 0. 1.04
time (sec) N/A 0.095 0.045 0.046 0.818 0.247 0. 0. 10.94
Problem 568 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C A A F F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 51 51 0 225 26 82 0 0 56
normalized size 1 1. 0. 4.41 0.51 1.61 0. 0. 1.1
time (sec) N/A 0.13 0.043 0.056 0.799 0.261 0. 0. 14.05
Problem 569 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 19 19 19 20 0 26 41 429 22
normalized size 1 1. 1. 1.05 0. 1.37 2.16 22.58 1.16
time (sec) N/A 0.063 0.008 0.007 0. 0.248 3.827 0.255 9.477
Problem 570 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 18 18 18 19 0 24 17 312 15
normalized size 1 1. 1. 1.06 0. 1.33 0.94 17.33 0.83
time (sec) N/A 0.033 0.006 0.007 0. 0.249 0.968 0.241 3.714
Problem 571 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 61 61 43 73 97 101 333 1 61
normalized size 1 1. 0.7 1.2 1.59 1.66 5.46 0.02 1.
time (sec) N/A 0.105 0.025 0.01 0.778 0.244 2.378 0.261 14.312
Problem 572 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F(-2) A F(-1) F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 770 770 2441 0 0 2531 0 0 0
normalized size 1 1. 3.17 0. 0. 3.29 0. 0. 0.
time (sec) N/A 2.458 6.473 0.17 0. 0.38 0. 0. 0.
Problem 573 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F(-2) A F(-1) F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 599 599 1412 0 0 1650 0 0 0
normalized size 1 1. 2.36 0. 0. 2.75 0. 0. 0.
time (sec) N/A 1.813 3.889 0.112 0. 0.303 0. 0. 0.
Problem 574 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F(-2) A F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 428 428 574 1261 0 936 0 0 314
normalized size 1 1. 1.34 2.95 0. 2.19 0. 0. 0.73
time (sec) N/A 0.98 4.187 0.055 0. 0.284 0. 0. 84.719
Problem 575 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 95 95 94 183 0 1 116 161 138
normalized size 1 1. 0.99 1.93 0. 0.01 1.22 1.69 1.45
time (sec) N/A 0.288 0.267 0.005 0. 0.282 1.146 0.237 57.289
Problem 576 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A F(-1) A F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 84 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 1.586 0.533 0.115 0. 0. 0. 0. 0.
Problem 577 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A F(-1) A F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 84 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 1.378 5.347 0.142 0. 0. 0. 0. 0.
Problem 578 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 150 150 176 285 0 393 0 0 121
normalized size 1 1. 1.17 1.9 0. 2.62 0. 0. 0.81
time (sec) N/A 0.986 0.391 0.054 0. 0.325 0. 0. 68.313
Problem 579 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 65 65 0 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.096 0.415 0.065 0. 0. 0. 0. 0.
Problem 580 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 65 65 0 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.067 0.24 0.058 0. 0. 0. 0. 0.
Problem 581 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 56 56 0 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.04 0.033 0.098 0. 0. 0. 0. 0.
Problem 582 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 57 57 50 0 0 0 0 0 0
normalized size 1 1. 0.88 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.11 0.089 0.068 0. 0. 0. 0. 0.
Problem 583 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 66 66 0 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.087 0.245 0.062 0. 0. 0. 0. 0.
Problem 584 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 68 68 0 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.087 0.241 0.06 0. 0. 0. 0. 0.
Problem 585 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 77 77 0 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.107 0.286 0.108 0. 0. 0. 0. 0.
Problem 586 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F A A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 89 0 115 130 0 0 0
normalized size 1 1. 1. 0. 1.29 1.46 0. 0. 0.
time (sec) N/A 0.152 0.124 0.303 0.911 0.42 0. 0. 0.
Problem 587 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 83 83 83 0 112 123 199 0 0
normalized size 1 1. 1. 0. 1.35 1.48 2.4 0. 0.
time (sec) N/A 0.122 0.107 0.155 0.844 0.247 83.007 0. 0.
Problem 588 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 87 87 87 0 115 130 190 113 0
normalized size 1 1. 1. 0. 1.32 1.49 2.18 1.3 0.
time (sec) N/A 0.108 0.085 0.059 0.858 0.265 10.011 0.241 0.
Problem 589 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 45 0 84 59 0 0 0
normalized size 1 1. 1. 0. 1.87 1.31 0. 0. 0.
time (sec) N/A 0.072 0.009 180. 0.849 0.264 0. 0. 0.
Problem 590 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 87 87 87 0 115 130 192 0 0
normalized size 1 1. 1. 0. 1.32 1.49 2.21 0. 0.
time (sec) N/A 0.1 0.111 0.184 0.89 0.252 88.459 0. 0.
Problem 591 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F A A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 84 84 83 0 112 123 0 0 0
normalized size 1 1. 0.99 0. 1.33 1.46 0. 0. 0.
time (sec) N/A 0.1 0.113 0.221 0.897 0.277 0. 0. 0.
Problem 592 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 105 105 110 0 122 162 0 0 0
normalized size 1 1. 1.05 0. 1.16 1.54 0. 0. 0.
time (sec) N/A 0.254 0.157 112.617 0.844 0.255 0. 0. 0.
Problem 593 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F A A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 99 99 96 0 155 147 0 0 0
normalized size 1 1. 0.97 0. 1.57 1.48 0. 0. 0.
time (sec) N/A 0.312 0.268 0.272 0.855 0.278 0. 0. 0.
Problem 594 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F A A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 90 90 90 0 153 142 0 0 0
normalized size 1 1. 1. 0. 1.7 1.58 0. 0. 0.
time (sec) N/A 0.268 0.237 0.153 0.857 0.253 0. 0. 0.
Problem 595 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 93 0 155 147 0 130 0
normalized size 1 1. 0.98 0. 1.63 1.55 0. 1.37 0.
time (sec) N/A 0.22 0.147 0.066 0.89 0.268 0. 0.381 0.
Problem 596 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 39 95 139 70 0 0 0
normalized size 1 1. 0.87 2.11 3.09 1.56 0. 0. 0.
time (sec) N/A 0.177 0.01 0.46 0.938 0.271 0. 0. 0.
Problem 597 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F A A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 93 0 155 147 0 0 0
normalized size 1 1. 0.98 0. 1.63 1.55 0. 0. 0.
time (sec) N/A 0.284 0.212 0.191 0.92 0.268 0. 0. 0.
Problem 598 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F A A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 92 92 89 0 153 140 0 0 0
normalized size 1 1. 0.97 0. 1.66 1.52 0. 0. 0.
time (sec) N/A 0.292 0.236 0.227 0.895 0.261 0. 0. 0.
Problem 599 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F A A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 111 0 162 193 0 0 0
normalized size 1 1. 0.97 0. 1.41 1.68 0. 0. 0.
time (sec) N/A 0.516 0.292 180. 0.88 0.256 0. 0. 0.
Problem 600 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 18 23 23 24 23 14
normalized size 1 1. 1. 1.06 1.35 1.35 1.41 1.35 0.82
time (sec) N/A 0.08 0.013 0.006 0.765 0.274 0.125 0.463 8.638
Problem 601 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 19 21 27 27 32 27 17
normalized size 1 1. 0.95 1.05 1.35 1.35 1.6 1.35 0.85
time (sec) N/A 0.255 0.018 0.004 0.762 0.257 1.246 0.234 36.251
Problem 602 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 49 49 0 0 0 31 0 0 39
normalized size 1 1. 0. 0. 0. 0.63 0. 0. 0.8
time (sec) N/A 0.305 1.377 0.29 0. 0.266 0. 0. 76.612
Problem 603 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 90 90 49 145 3214 147 160 360 85
normalized size 1 1. 0.54 1.61 35.71 1.63 1.78 4. 0.94
time (sec) N/A 0.289 0.029 0.008 1.24 0.233 0.321 0.259 80.532
Problem 604 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 64 64 36 64 1651 74 68 161 60
normalized size 1 1. 0.56 1. 25.8 1.16 1.06 2.52 0.94
time (sec) N/A 0.245 0.017 0.007 1.079 0.265 0.22 0.291 78.549
Problem 605 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 38 38 23 24 676 31 22 59 32
normalized size 1 1. 0.61 0.63 17.79 0.82 0.58 1.55 0.84
time (sec) N/A 0.148 0.021 0.005 0.928 0.245 0.146 0.295 32.276
Problem 606 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 12 15 15 10 15 10
normalized size 1 1. 1. 1. 1.25 1.25 0.83 1.25 0.83
time (sec) N/A 0.028 0.007 0.003 0.787 0.253 0.094 0.242 3.414
Problem 607 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 10 19 0 15 0 0 10
normalized size 1 1. 0.91 1.73 0. 1.36 0. 0. 0.91
time (sec) N/A 0.266 0.009 0.008 0. 0.233 0. 0. 79.42
Problem 608 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 38 38 35 45 0 66 0 0 32
normalized size 1 1. 0.92 1.18 0. 1.74 0. 0. 0.84
time (sec) N/A 0.293 0.031 0.006 0. 0.247 0. 0. 82.282
Problem 609 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 72 72 50 70 0 150 0 0 65
normalized size 1 1. 0.69 0.97 0. 2.08 0. 0. 0.9
time (sec) N/A 0.372 0.052 0.006 0. 0.251 0. 0. 86.162
Problem 610 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 142 142 91 119 0 0 0 0 134
normalized size 1 1. 0.64 0.84 0. 0. 0. 0. 0.94
time (sec) N/A 1.014 0.178 0.011 0. 0. 0. 0. 86.122
Problem 611 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 112 112 78 94 0 0 0 0 105
normalized size 1 1. 0.7 0.84 0. 0. 0. 0. 0.94
time (sec) N/A 0.723 0.166 0.01 0. 0. 0. 0. 82.096
Problem 612 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 82 82 67 69 0 0 0 0 76
normalized size 1 1. 0.82 0.84 0. 0. 0. 0. 0.93
time (sec) N/A 0.556 0.122 0.01 0. 0. 0. 0. 78.848
Problem 613 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F F F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 52 52 49 44 0 0 0 63 46
normalized size 1 1. 0.94 0.85 0. 0. 0. 1.21 0.88
time (sec) N/A 0.346 0.039 0.01 0. 0. 0. 0.244 76.886
Problem 614 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 20 18 0 0 0 0 19
normalized size 1 1. 0.95 0.86 0. 0. 0. 0. 0.9
time (sec) N/A 0.401 0.026 0.016 0. 0. 0. 0. 77.256
Problem 615 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 51 51 48 45 0 0 0 0 48
normalized size 1 1. 0.94 0.88 0. 0. 0. 0. 0.94
time (sec) N/A 0.577 0.08 0.009 0. 0. 0. 0. 82.47
Problem 616 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 85 85 67 70 0 0 0 0 80
normalized size 1 1. 0.79 0.82 0. 0. 0. 0. 0.94
time (sec) N/A 0.775 0.158 0.01 0. 0. 0. 0. 88.91
Problem 617 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 106 95 0 0 0 0 109
normalized size 1 1. 0.92 0.83 0. 0. 0. 0. 0.95
time (sec) N/A 0.878 0.251 0.01 0. 0. 0. 0. 99.329
Problem 618 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F F F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 145 145 90 120 0 0 0 0 138
normalized size 1 1. 0.62 0.83 0. 0. 0. 0. 0.95
time (sec) N/A 0.934 0.342 0.01 0. 0. 0. 0. 116.711
Problem 619 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 8 8 42 37 19 24 7 19 7
normalized size 1 1. 5.25 4.62 2.38 3. 0.88 2.38 0.88
time (sec) N/A 0.044 0.029 0.053 0.913 0.244 0.655 0.246 6.427
Problem 620 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 8 9 9 15 9 7
normalized size 1 1. 1. 0.67 0.75 0.75 1.25 0.75 0.58
time (sec) N/A 0.031 0.006 0.004 0.855 0.256 0.101 0.228 5.649
Problem 621 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 4 4 23 4 20 20 15 22 3
normalized size 1 1. 5.75 1. 5. 5. 3.75 5.5 0.75
time (sec) N/A 0.032 0.006 0.001 0.746 0.241 0.09 0.222 7.233
Problem 622 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 36 14 35 49 15 41 19
normalized size 1 1. 1.8 0.7 1.75 2.45 0.75 2.05 0.95
time (sec) N/A 0.039 0.023 0.006 0.913 0.244 0.11 0.225 7.193
Problem 623 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 36 36 36 26 34 46 42 34 32
normalized size 1 1. 1. 0.72 0.94 1.28 1.17 0.94 0.89
time (sec) N/A 0.049 0.027 0.01 0.872 0.273 1.743 0.238 6.129
Problem 624 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 14 12 15 15 10 15 15
normalized size 1 1. 0.64 0.55 0.68 0.68 0.45 0.68 0.68
time (sec) N/A 0.032 0.003 0.004 0.785 0.234 0.059 0.223 3.782
Problem 625 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 26 21 27 124 24 27 20
normalized size 1 1. 0.9 0.72 0.93 4.28 0.83 0.93 0.69
time (sec) N/A 0.045 0.021 0.006 0.855 0.247 1.541 0.232 6.051
Problem 626 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 14 14 14 11 16 28 0 28 22
normalized size 1 1. 1. 0.79 1.14 2. 0. 2. 1.57
time (sec) N/A 0.06 0.018 0.015 0.871 0.255 0. 0.231 12.085
Problem 627 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 12 12 23 16 20 20 15 22 8
normalized size 1 1. 1.92 1.33 1.67 1.67 1.25 1.83 0.67
time (sec) N/A 0.031 0.005 0.009 0.777 0.25 0.091 0.235 5.619
Problem 628 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 13 13 13 11 14 14 8 14 8
normalized size 1 1. 1. 0.85 1.08 1.08 0.62 1.08 0.62
time (sec) N/A 0.017 0.003 0.003 0.815 0.243 0.061 0.233 2.174
Problem 629 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 16 16 16 16 0 27 10 20 10
normalized size 1 1. 1. 1. 0. 1.69 0.62 1.25 0.62
time (sec) N/A 0.011 0.008 0.003 0. 0.258 0.058 0.22 1.219
Problem 630 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 18 18 18 18 18 18 14 18 22
normalized size 1 1. 1. 1. 1. 1. 0.78 1. 1.22
time (sec) N/A 0.049 0.005 0.008 0.804 0.287 0.063 0.23 10.503
Problem 631 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 4 4 4 4 4 27 3 4 3
normalized size 1 1. 1. 1. 1. 6.75 0.75 1. 0.75
time (sec) N/A 0.036 0.012 0.01 0.886 0.389 0.532 0.238 5.802
Problem 632 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 10 8 9 9 17 9 7
normalized size 1 1. 1. 0.8 0.9 0.9 1.7 0.9 0.7
time (sec) N/A 0.034 0.006 0.004 0.857 0.261 0.1 0.224 5.889
Problem 633 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 22 20 23 28 17 24 0
normalized size 1 1. 0.81 0.74 0.85 1.04 0.63 0.89 0.
time (sec) N/A 0.036 0.014 0.013 0.778 0.247 0.089 0.235 0.
Problem 634 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 11 14 14 10 14 20
normalized size 1 1. 1. 0.92 1.17 1.17 0.83 1.17 1.67
time (sec) N/A 0.058 0.007 0.004 0.829 0.26 0.073 0.231 20.907
Problem 635 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 6 6 23 6 20 20 15 22 5
normalized size 1 1. 3.83 1. 3.33 3.33 2.5 3.67 0.83
time (sec) N/A 0.03 0.004 0.005 0.777 0.249 0.088 0.446 5.57
Problem 636 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 4 4 4 4 4 4 15 4 3
normalized size 1 1. 1. 1. 1. 1. 3.75 1. 0.75
time (sec) N/A 0.029 0.005 0. 0.842 0.242 0.097 0.246 5.534
Problem 637 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 14 14 17 14 15 8 16 15
normalized size 1 1.17 1.17 1.42 1.17 1.25 0.67 1.33 1.25
time (sec) N/A 0.082 0.005 0.014 0.781 0.239 0.078 0.238 44.366
Problem 638 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 12 12 14 11 15 8 15 15
normalized size 1 1.2 1.2 1.4 1.1 1.5 0.8 1.5 1.5
time (sec) N/A 0.073 0.005 0.011 0.758 0.45 0.076 0.229 42.022
Problem 639 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 18 18 18 30 19 18 10 19 0
normalized size 1 1. 1. 1.67 1.06 1. 0.56 1.06 0.
time (sec) N/A 0.086 0.005 0.019 0.772 0.275 0.083 0.235 0.
Problem 640 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 4 4 4 4 4 22 3 22 3
normalized size 1 1. 1. 1. 1. 5.5 0.75 5.5 0.75
time (sec) N/A 0.032 0.012 0.013 0.862 0.251 0.509 0.228 5.193
Problem 641 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 11 9 11 11 8 11 8
normalized size 1 1. 1. 0.82 1. 1. 0.73 1. 0.73
time (sec) N/A 0.038 0.005 0.004 0.821 0.241 0.224 0.219 3.535
Problem 642 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 18 18 18 14 18 18 0 18 14
normalized size 1 1. 1. 0.78 1. 1. 0. 1. 0.78
time (sec) N/A 0.095 0.014 0.016 0.882 0.25 0. 0.323 6.83
Problem 643 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 31 31 31 21 27 126 0 39 24
normalized size 1 1. 1. 0.68 0.87 4.06 0. 1.26 0.77
time (sec) N/A 0.038 0.019 0.009 0.835 0.238 0. 0.239 5.418
Problem 644 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 24 19 24 122 0 39 20
normalized size 1 1. 0.89 0.7 0.89 4.52 0. 1.44 0.74
time (sec) N/A 0.038 0.015 0.004 0.847 0.254 0. 0.234 5.426
Problem 645 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 10 8 9 9 17 9 7
normalized size 1 1. 1. 0.8 0.9 0.9 1.7 0.9 0.7
time (sec) N/A 0.187 0.008 0.005 0.882 0.241 0.121 0.223 16.83
Problem 646 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 28 28 18 17 15 15 24 18 24
normalized size 1 1. 0.64 0.61 0.54 0.54 0.86 0.64 0.86
time (sec) N/A 0.063 0.005 0.001 0.776 0.245 4.785 0.238 6.508
Problem 647 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 16 13 22 22 10 22 14
normalized size 1 1. 1. 0.81 1.38 1.38 0.62 1.38 0.88
time (sec) N/A 0.039 0.013 0.013 0.807 0.235 0.513 0.228 5.493
Problem 648 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 12 12 23 16 20 20 15 22 7
normalized size 1 1. 1.92 1.33 1.67 1.67 1.25 1.83 0.58
time (sec) N/A 0.034 0.006 0.01 0.818 0.231 0.095 0.238 7.295
Problem 649 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 10 8 9 9 17 9 7
normalized size 1 1. 1. 0.8 0.9 0.9 1.7 0.9 0.7
time (sec) N/A 0.033 0.006 0.006 0.869 0.247 0.102 0.236 5.895
Problem 650 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 14 0 12 24 8 24 8
normalized size 1 1. 1. 0. 0.86 1.71 0.57 1.71 0.57
time (sec) N/A 0.038 0.014 0.042 0.891 0.256 0.61 0.225 5.765
Problem 651 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 28 53 39 39 32 34 32
normalized size 1 1. 0.8 1.51 1.11 1.11 0.91 0.97 0.91
time (sec) N/A 0.292 0.029 0.037 0.815 0.272 2.546 0.248 12.5
Problem 652 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 11 9 11 11 7 11 7
normalized size 1 1. 1. 0.82 1. 1. 0.64 1. 0.64
time (sec) N/A 0.015 0.003 0.001 0.795 0.348 0.056 0.296 2.085
Problem 653 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 11 9 11 11 7 11 7
normalized size 1 1. 1. 0.82 1. 1. 0.64 1. 0.64
time (sec) N/A 0.024 0.003 0.003 0.832 0.263 0.061 0.227 2.851
Problem 654 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 9 9 9 7 8 8 7 8 7
normalized size 1 1. 1. 0.78 0.89 0.89 0.78 0.89 0.78
time (sec) N/A 0.017 0.003 0.004 0.77 0.241 0.214 0.223 2.762
Problem 655 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 9 9 9 7 8 8 7 8 7
normalized size 1 1. 1. 0.78 0.89 0.89 0.78 0.89 0.78
time (sec) N/A 0.018 0.003 0.001 0.768 0.25 0.502 0.298 2.769
Problem 656 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 34 32 80 42 31 42 63
normalized size 1 1. 0.5 0.47 1.18 0.62 0.46 0.62 0.93
time (sec) N/A 0.164 0.008 0.009 0.785 0.223 0.084 0.26 13.051
Problem 657 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 26 22 26 26 20 26 0
normalized size 1 1. 0.93 0.79 0.93 0.93 0.71 0.93 0.
time (sec) N/A 0.038 0.009 0.004 0.753 0.259 0.075 0.234 0.
Problem 658 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 23 20 26 24 22 24 0
normalized size 1 1. 0.88 0.77 1. 0.92 0.85 0.92 0.
time (sec) N/A 0.037 0.008 0.005 0.827 0.246 0.09 0.241 0.
Problem 659 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 9 9 9 9 11 11 7 11 20
normalized size 1 1. 1. 1. 1.22 1.22 0.78 1.22 2.22
time (sec) N/A 0.039 0.005 0.009 0.785 0.23 0.056 0.267 15.553
Problem 660 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 20 22 23 28 20 23 20
normalized size 1 1. 0.74 0.81 0.85 1.04 0.74 0.85 0.74
time (sec) N/A 0.02 0.019 0.013 0.761 0.246 0.748 0.224 2.806
Problem 661 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 16 20 20 14 20 0
normalized size 1 1. 1. 0.94 1.18 1.18 0.82 1.18 0.
time (sec) N/A 0.055 0.01 0.011 0.777 0.242 0.115 0.265 0.
Problem 662 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 11 14 14 8 14 8
normalized size 1 1. 1. 0.92 1.17 1.17 0.67 1.17 0.67
time (sec) N/A 0.037 0.004 0.003 0.792 0.243 0.071 0.242 6.519
Problem 663 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 22 22 26 28 26 26 26
normalized size 1 1. 0.81 0.81 0.96 1.04 0.96 0.96 0.96
time (sec) N/A 0.021 0.018 0.01 0.764 0.244 0.325 0.244 2.684
Problem 664 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 5 5 11 5 5 22 0 8 0
normalized size 1 1. 2.2 1. 1. 4.4 0. 1.6 0.
time (sec) N/A 0.017 0.022 0.03 0.768 0.242 0. 0.281 0.
Problem 665 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 18 22 22 32 17 26 20
normalized size 1 1. 0.86 1.05 1.05 1.52 0.81 1.24 0.95
time (sec) N/A 0.046 0.011 0.01 0.778 0.244 0.083 0.305 8.805
Problem 666 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 22 22 26 28 24 26 24
normalized size 1 1. 0.81 0.81 0.96 1.04 0.89 0.96 0.89
time (sec) N/A 0.019 0.026 0.007 0.773 0.241 0.32 0.44 2.522
Problem 667 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 79 28 53 70 0 55 26
normalized size 1 1. 2.32 0.82 1.56 2.06 0. 1.62 0.76
time (sec) N/A 0.049 0.32 0.076 0.796 0.272 0. 0.342 7.96
Problem 668 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 20 23 22 24 14 22 0
normalized size 1 1. 0.77 0.88 0.85 0.92 0.54 0.85 0.
time (sec) N/A 0.031 0.011 0.003 0.769 0.248 0.079 0.317 0.
Problem 669 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 14 18 18 12 18 0
normalized size 1 1. 1. 0.93 1.2 1.2 0.8 1.2 0.
time (sec) N/A 0.047 0.007 0.009 0.772 0.255 0.102 0.297 0.
Problem 670 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 21 18 23 19 22 23 22
normalized size 1 1. 0.78 0.67 0.85 0.7 0.81 0.85 0.81
time (sec) N/A 0.043 0.015 0.003 0.753 0.241 1.191 0.298 10.244
Problem 671 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 21 18 23 19 22 23 22
normalized size 1 1. 0.78 0.67 0.85 0.7 0.81 0.85 0.81
time (sec) N/A 0.044 0.014 0.003 0.804 0.247 2.35 0.237 8.617
Problem 672 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 62 62 57 50 65 92 0 66 0
normalized size 1 1. 0.92 0.81 1.05 1.48 0. 1.06 0.
time (sec) N/A 0.096 0.075 0.025 0.857 0.253 0. 0.26 0.
Problem 673 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 12 12 26 15 10 15 17
normalized size 1 1. 0.63 0.63 1.37 0.79 0.53 0.79 0.89
time (sec) N/A 0.062 0.004 0.004 0.772 0.229 0.067 0.258 6.887
Problem 674 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 19 17 38 22 15 22 27
normalized size 1 1. 0.59 0.53 1.19 0.69 0.47 0.69 0.84
time (sec) N/A 0.075 0.005 0.003 0.773 0.242 0.071 0.241 7.069
Problem 675 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A F A B A A A F F
verified N/A N/A Yes TBD TBD TBD TBD TBD TBD
size 11 0 11 22 14 14 8 0 0
normalized size 1 0. 1. 2. 1.27 1.27 0.73 0. 0.
time (sec) N/A 0.212 0.011 0.027 0.915 0.248 0.822 0. 0.
Problem 676 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 9 9 9 7 8 8 5 8 0
normalized size 1 1. 1. 0.78 0.89 0.89 0.56 0.89 0.
time (sec) N/A 0.04 0.002 0.007 0.758 0.233 0.103 0.392 0.
Problem 677 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A F A A A A A F F
verified N/A N/A Yes TBD TBD TBD TBD TBD TBD
size 9 0 9 18 12 24 12 0 0
normalized size 1 0. 1. 2. 1.33 2.67 1.33 0. 0.
time (sec) N/A 0.103 0.012 0.025 0.863 0.237 0.56 0. 0.
Problem 678 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 24 28 28 22 28 0
normalized size 1 1. 1. 0.96 1.12 1.12 0.88 1.12 0.
time (sec) N/A 0.029 0.009 0.001 0.756 0.242 0.106 0.24 0.
Problem 679 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 40 36 45 45 37 45 0
normalized size 1 1. 1. 0.9 1.12 1.12 0.92 1.12 0.
time (sec) N/A 0.039 0.01 0.001 0.746 0.258 0.135 0.221 0.
Problem 680 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 53 53 53 48 61 61 51 61 0
normalized size 1 1. 1. 0.91 1.15 1.15 0.96 1.15 0.
time (sec) N/A 0.051 0.012 0.003 0.763 0.241 0.167 0.302 0.
Problem 681 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 32 26 0 1 0 39 44
normalized size 1 1. 1. 0.81 0. 0.03 0. 1.22 1.38
time (sec) N/A 0.054 0.029 0.012 0. 0.241 0. 0.227 6.366
Problem 682 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 34 34 34 28 0 1 0 36 42
normalized size 1 1. 1. 0.82 0. 0.03 0. 1.06 1.24
time (sec) N/A 0.054 0.034 0.011 0. 0.24 0. 0.228 6.776
Problem 683 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 53 53 50 42 0 1 0 59 75
normalized size 1 1. 0.94 0.79 0. 0.02 0. 1.11 1.42
time (sec) N/A 0.072 0.034 0.006 0. 0.246 0. 0.381 9.179
Problem 684 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 54 48 0 1 0 61 75
normalized size 1 1. 0.95 0.84 0. 0.02 0. 1.07 1.32
time (sec) N/A 0.076 0.039 0.006 0. 0.26 0. 0.317 9.896
Problem 685 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 20 22 23 28 24 23 24
normalized size 1 1. 0.74 0.81 0.85 1.04 0.89 0.85 0.89
time (sec) N/A 0.02 0.015 0.007 0.76 0.262 0.325 0.237 2.633
Problem 686 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 10 9 11 11 19 11 7
normalized size 1 1. 1. 0.9 1.1 1.1 1.9 1.1 0.7
time (sec) N/A 0.04 0.006 0.005 0.856 0.298 0.11 0.243 7.637
Problem 687 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 26 18 23 23 19 24 7
normalized size 1 1. 2.6 1.8 2.3 2.3 1.9 2.4 0.7
time (sec) N/A 0.039 0.01 0.006 0.761 0.271 0.104 0.222 7.763
Problem 688 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 18 18 18 15 19 14 0 28 14
normalized size 1 1. 1. 0.83 1.06 0.78 0. 1.56 0.78
time (sec) N/A 0.042 0.015 0.009 0.764 0.237 0. 0.234 5.569
Problem 689 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 36 18 35 63 17 45 22
normalized size 1 1. 1.8 0.9 1.75 3.15 0.85 2.25 1.1
time (sec) N/A 0.066 0.029 0.005 0.885 0.243 0.124 0.321 15.98
Problem 690 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 24 22 28 28 20 28 39
normalized size 1 1. 0.55 0.5 0.64 0.64 0.45 0.64 0.89
time (sec) N/A 0.052 0.004 0.003 0.778 0.224 0.067 0.262 5.64
Problem 691 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 52 52 26 24 41 31 24 31 48
normalized size 1 1. 0.5 0.46 0.79 0.6 0.46 0.6 0.92
time (sec) N/A 0.064 0.006 0.005 0.783 0.226 0.069 0.233 6.243
Problem 692 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 23 30 124 29 30 24
normalized size 1 1. 1. 0.7 0.91 3.76 0.88 0.91 0.73
time (sec) N/A 0.044 0.022 0.01 0.859 0.239 1.583 0.242 5.976
Problem 693 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 40 46 50 43 41 72 36
normalized size 1 1. 0.8 0.92 1. 0.86 0.82 1.44 0.72
time (sec) N/A 0.067 0.017 0.007 0.771 0.243 4.263 0.235 8.514
Problem 694 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 81 81 48 62 82 59 0 101 61
normalized size 1 1. 0.59 0.77 1.01 0.73 0. 1.25 0.75
time (sec) N/A 0.082 0.044 0.014 0.787 0.235 0. 0.232 11.12
Problem 695 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 47 59 59 49 59 0
normalized size 1 1. 1. 0.85 1.07 1.07 0.89 1.07 0.
time (sec) N/A 0.135 0.016 0.009 0.79 0.257 0.146 0.243 0.
Problem 696 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 35 35 32 27 35 154 0 35 26
normalized size 1 1. 0.91 0.77 1. 4.4 0. 1. 0.74
time (sec) N/A 0.25 0.027 0.006 0.871 0.275 0. 0.232 18.295
Problem 697 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 29 24 31 31 24 31 24
normalized size 1 1. 0.91 0.75 0.97 0.97 0.75 0.97 0.75
time (sec) N/A 0.313 0.012 0.006 0.746 0.245 0.149 0.235 24.298
Problem 698 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 5 5 5 4 4 4 3 4 3
normalized size 1 1. 1. 0.8 0.8 0.8 0.6 0.8 0.6
time (sec) N/A 0.009 0.003 0.003 0.769 0.264 0.569 0.228 3.826
Problem 699 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 7 7 7 5 5 5 5 0 5
normalized size 1 1. 1. 0.71 0.71 0.71 0.71 0. 0.71
time (sec) N/A 0.024 0.007 0.003 0.817 0.236 1.002 0. 4.94
Problem 700 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 20 17 22 26 17 32 20
normalized size 1 1. 0.91 0.77 1. 1.18 0.77 1.45 0.91
time (sec) N/A 0.037 0.014 0.004 0.772 0.254 0.092 0.228 5.885
Problem 701 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 4 4 4 4 9 4 15 4 7
normalized size 1 1. 1. 1. 2.25 1. 3.75 1. 1.75
time (sec) N/A 0.017 0.005 0.004 0.851 0.241 0.093 0.24 6.337
Problem 702 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 13 13 13 11 14 14 10 14 8
normalized size 1 1. 1. 0.85 1.08 1.08 0.77 1.08 0.62
time (sec) N/A 0.021 0.006 0.004 0.781 0.244 0.05 0.235 6.348
Problem 703 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 6 6 23 6 26 20 15 22 7
normalized size 1 1. 3.83 1. 4.33 3.33 2.5 3.67 1.17
time (sec) N/A 0.018 0.005 0.003 0.836 0.254 0.091 0.236 8.563
Problem 704 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 11 11 14 14 10 14 10
normalized size 1 1. 0.73 0.73 0.93 0.93 0.67 0.93 0.67
time (sec) N/A 0.026 0.01 0.002 0.79 0.258 0.053 0.234 7.2
Problem 705 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 22 18 28 24 15 23 15
normalized size 1 1. 1. 0.82 1.27 1.09 0.68 1.05 0.68
time (sec) N/A 0.046 0.009 0.006 0.775 0.236 0.11 0.224 14.552
Problem 706 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 27 25 32 34 26 41 0
normalized size 1 1. 0.87 0.81 1.03 1.1 0.84 1.32 0.
time (sec) N/A 0.065 0.013 0.01 0.815 0.265 0.137 0.235 0.
Problem 707 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 22 27 30 28 19 0 26
normalized size 1 1. 1. 1.23 1.36 1.27 0.86 0. 1.18
time (sec) N/A 0.055 0.01 0.017 0.83 0.275 0.107 0. 9.902
Problem 708 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 23 40 54 34 39 0 0
normalized size 1 1. 0.68 1.18 1.59 1. 1.15 0. 0.
time (sec) N/A 0.055 0.016 0.017 0.884 0.237 0.589 0. 0.
Problem 709 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 23 0 0 38 0 0 0
normalized size 1 1. 1. 0. 0. 1.65 0. 0. 0.
time (sec) N/A 0.073 0.028 0.091 0. 0.244 0. 0. 0.
Problem 710 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 66 66 41 51 100 47 0 47 54
normalized size 1 1. 0.62 0.77 1.52 0.71 0. 0.71 0.82
time (sec) N/A 0.269 0.029 0.013 0.782 0.248 0. 0.235 20.082
Problem 711 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 32 20 26 34 20 27 10
normalized size 1 1. 2.67 1.67 2.17 2.83 1.67 2.25 0.83
time (sec) N/A 0.025 0.021 0.013 0.782 0.267 0.105 0.231 10.791
Problem 712 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 13 12 0 15 8 0 10
normalized size 1 1. 0.81 0.75 0. 0.94 0.5 0. 0.62
time (sec) N/A 0.111 0.01 0.005 0. 0.229 0.088 0. 12.415
Problem 713 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 14 18 18 10 18 10
normalized size 1 1. 1. 0.88 1.12 1.12 0.62 1.12 0.62
time (sec) N/A 0.082 0.01 0.008 0.772 0.216 0.075 0.227 9.879
Problem 714 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 33 33 33 23 100 138 0 45 27
normalized size 1 1. 1. 0.7 3.03 4.18 0. 1.36 0.82
time (sec) N/A 0.057 0.025 0.016 0.792 0.26 0. 0.223 8.219
Problem 715 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A F(-2) A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 11 9 11 0 8 11 0
normalized size 1 1. 1. 0.82 1. 0. 0.73 1. 0.
time (sec) N/A 0.042 0.009 0.007 0.746 0. 0.173 0.228 0.
Problem 716 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 6 6 6 6 7 7 5 7 0
normalized size 1 1. 1. 1. 1.17 1.17 0.83 1.17 0.
time (sec) N/A 0.033 0.002 0.003 0.777 0.384 0.08 0.225 0.
Problem 717 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 19 17 26 24 14 0 14
normalized size 1 1. 1. 0.89 1.37 1.26 0.74 0. 0.74
time (sec) N/A 0.027 0.008 0.004 0.808 0.283 1.081 0. 2.914
Problem 718 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 19 19 15 16 49 20 12 27 0
normalized size 1 1. 0.79 0.84 2.58 1.05 0.63 1.42 0.
time (sec) N/A 0.154 0.008 0.007 0.839 0.246 0.071 0.22 0.
Problem 719 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 56 56 41 60 85 0 94 1 54
normalized size 1 1. 0.73 1.07 1.52 0. 1.68 0.02 0.96
time (sec) N/A 0.067 0.024 0.012 0.801 0. 0.165 0.249 7.926
Problem 720 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 12 14 18 18 10 18 10
normalized size 1 1. 0.8 0.93 1.2 1.2 0.67 1.2 0.67
time (sec) N/A 0.017 0.003 0.012 0.753 0.305 0.079 0.228 2.034
Problem 721 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 14 12 16 15 10 15 10
normalized size 1 1. 1. 0.86 1.14 1.07 0.71 1.07 0.71
time (sec) N/A 0.019 0.005 0.004 0.78 0.277 0.149 0.224 2.697
Problem 722 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 11 12 15 15 8 15 8
normalized size 1 1. 1. 1.09 1.36 1.36 0.73 1.36 0.73
time (sec) N/A 0.018 0.002 0.003 0.792 0.256 0.087 0.225 2.74
Problem 723 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 20 21 27 23 17 27 14
normalized size 1 1. 1. 1.05 1.35 1.15 0.85 1.35 0.7
time (sec) N/A 0.013 0.006 0.002 0.811 0.255 0.104 0.229 1.003
Problem 724 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 19 19 46 22 15 22 27
normalized size 1 1. 0.59 0.59 1.44 0.69 0.47 0.69 0.84
time (sec) N/A 0.069 0.007 0.003 0.807 0.259 0.075 0.226 7.692
Problem 725 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 46 36 36 24
normalized size 1 1. 1. 0.85 1.09 1.39 1.09 1.09 0.73
time (sec) N/A 0.019 0.023 0.003 0.774 0.317 0.086 0.225 1.573
Problem 726 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 21 12 15 15 10 15 10
normalized size 1 1. 1. 0.57 0.71 0.71 0.48 0.71 0.48
time (sec) N/A 0.02 0.008 0.004 0.79 0.398 0.152 0.229 2.701
Problem 727 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A F(-2) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 11 9 11 0 0 0 8
normalized size 1 1. 1. 0.82 1. 0. 0. 0. 0.73
time (sec) N/A 0.065 0.007 0.032 0.849 0. 0. 0. 11.833
Problem 728 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 10 22 0 0 0 0
normalized size 1 1. 1. 0.83 1.83 0. 0. 0. 0.
time (sec) N/A 0.395 0.025 0.046 0.827 0. 0. 0. 0.
Problem 729 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A F(-2) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 10 12 0 0 0 10
normalized size 1 1. 1. 0.83 1. 0. 0. 0. 0.83
time (sec) N/A 0.194 0.018 0.026 0.825 0. 0. 0. 24.248
Problem 730 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 27 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.283 0.188 0.01 0. 0. 0. 0. 0.
Problem 731 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 27 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.179 0.092 0.011 0. 0. 0. 0. 0.
Problem 732 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 52 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.124 0.119 0.014 0. 0. 0. 0. 0.
Problem 733 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A F(-2) F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 20 16 31 0 0 0 0
normalized size 1 1. 1. 0.8 1.55 0. 0. 0. 0.
time (sec) N/A 0.944 0.046 0.05 0.921 0. 0. 0. 0.
Problem 734 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 67 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.26 0.207 0.029 0. 0. 0. 0. 0.
Problem 735 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A F(-2) A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 13 13 13 9 11 0 12 11 0
normalized size 1 1. 1. 0.69 0.85 0. 0.92 0.85 0.
time (sec) N/A 0.041 0.009 0.015 0.748 0. 0.265 0.231 0.
Problem 736 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A F(-2) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 13 13 13 9 11 0 0 0 12
normalized size 1 1. 1. 0.69 0.85 0. 0. 0. 0.92
time (sec) N/A 0.097 0.005 0.033 0.925 0. 0. 0. 16.913
Problem 737 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 38 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.062 0.062 0.003 0. 0. 0. 0. 0.
Problem 738 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 10 22 0 0 0 0
normalized size 1 1. 1. 0.83 1.83 0. 0. 0. 0.
time (sec) N/A 0.503 0.025 0.014 0.828 0. 0. 0. 0.
Problem 739 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A F(-2) F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 10 22 0 0 0 10
normalized size 1 1. 1. 0.83 1.83 0. 0. 0. 0.83
time (sec) N/A 0.204 0.02 0.035 0.822 0. 0. 0. 22.646
Problem 740 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 31 23 32 36 22 38 0
normalized size 1 1. 1. 0.74 1.03 1.16 0.71 1.23 0.
time (sec) N/A 0.078 0.013 0.004 0.845 0.3 0.121 0.227 0.
Problem 741 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 12 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.045 2.856 0.015 0. 0. 0. 0. 0.
Problem 742 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 16 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.09 0.058 0.014 0. 0. 0. 0. 0.
Problem 743 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 14 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.052 0.019 0.016 0. 0. 0. 0. 0.
Problem 744 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 16 0 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.062 0.032 0.02 0. 0. 0. 0. 0.
Problem 745 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 15 0 0 0 0 4 0 0 0
normalized size 1 0. 0. 0. 0. 0.27 0. 0. 0.
time (sec) N/A 0.069 0.038 0.005 0. 0.215 0. 0. 0.
Problem 746 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 19 0 0 0 0 5 0 0 0
normalized size 1 0. 0. 0. 0. 0.26 0. 0. 0.
time (sec) N/A 0.106 0.043 0.006 0. 0.218 0. 0. 0.
Problem 747 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 23 0 0 0 0 5 0 0 0
normalized size 1 0. 0. 0. 0. 0.22 0. 0. 0.
time (sec) N/A 0.086 0.019 0.004 0. 0.219 0. 0. 0.
Problem 748 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 29 0 0 0 0 32 0 0 0
normalized size 1 0. 0. 0. 0. 1.1 0. 0. 0.
time (sec) N/A 0.126 0.021 0.004 0. 0.227 0. 0. 0.
Problem 749 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 36 36 36 37 88 62 100 63 73
normalized size 1 1. 1. 1.03 2.44 1.72 2.78 1.75 2.03
time (sec) N/A 0.154 0.065 0.009 0.81 0.267 104.7 1.74 16.599
Problem 750 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C A F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 37 37 0 241 49 0 0 0 0
normalized size 1 1. 0. 6.51 1.32 0. 0. 0. 0.
time (sec) N/A 0.063 0.021 0.05 1.069 0. 0. 0. 0.
Problem 751 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F A F F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 50 50 0 0 68 0 0 0 53
normalized size 1 1. 0. 0. 1.36 0. 0. 0. 1.06
time (sec) N/A 0.077 0.055 0.117 1.019 0. 0. 0. 4.372
Problem 752 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F A F F(-2) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 37 0 51 0 0 0 27
normalized size 1 1. 1. 0. 1.38 0. 0. 0. 0.73
time (sec) N/A 0.03 0.024 0.05 0.954 0. 0. 0. 3.614
Problem 753 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F A F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 41 0 57 0 0 0 34
normalized size 1 1. 1. 0. 1.39 0. 0. 0. 0.83
time (sec) N/A 0.029 0.026 0.066 0.987 0. 0. 0. 3.707
Problem 754 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 52 52 0 0 0 0 0 0 39
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.75
time (sec) N/A 0.047 0.049 0.059 0. 0. 0. 0. 6.175
Problem 755 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 56 56 0 0 0 0 0 0 46
normalized size 1 1. 0. 0. 0. 0. 0. 0. 0.82
time (sec) N/A 0.047 0.056 0.082 0. 0. 0. 0. 6.282
Problem 756 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F A F(-1) F A
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 80 80 0 0 0 120 0 0 70
normalized size 1 1. 0. 0. 0. 1.5 0. 0. 0.88
time (sec) N/A 0.08 0.26 0.018 0. 0.256 0. 0. 8.101
Problem 757 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F A F(-2) F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 0 28 0 0 0 0
normalized size 1 1. 1. 0. 1.65 0. 0. 0. 0.
time (sec) N/A 0.983 0.086 0.007 0.848 0. 0. 0. 0.

2.2 Detailed conclusion table specific for Rubi results

The following table is specific to Rubi. It gives additional statistics for each integral. the column steps is the number of steps used by Rubi to obtain the antiderivative. The rules column is the number of unique rules used. The integrand size column is the leaf size of the integrand. Finally the ratio \(\frac{\text{number of rules}}{\text{integrand size}}\) is given. The larger this ratio is, the harder the integral was to solve. In this test, problem number [64] had the largest ratio of [ 0.7368 ]

Table 1: Rubi specific breakdown of results for each integral
# grade
number of
steps
used
number of
unique
rules
normalized
antiderivative
leaf size
integrand
leaf size
\(\frac{\text{number of rules}}{\text{integrand leaf size}}\)
1 A 2 2 1. 13 0.154
2 A 2 2 1. 13 0.154
3 A 3 3 1. 19 0.158
4 A 2 2 1. 21 0.095
5 A 2 2 1. 13 0.154
6 A 3 3 1. 19 0.158
7 A 2 2 1. 21 0.095
8 A 2 2 1. 13 0.154
9 A 3 3 1. 19 0.158
10 A 2 2 1. 21 0.095
11 A 2 2 1. 13 0.154
12 A 3 3 1. 19 0.158
13 A 2 2 1. 21 0.095
14 A 2 2 1. 17 0.118
15 A 3 3 1. 17 0.176
16 A 2 2 1. 29 0.069
17 A 3 3 1. 44 0.068
18 A 3 2 1. 15 0.133
19 A 3 2 1. 15 0.133
20 A 2 2 1. 15 0.133
21 A 3 2 1. 15 0.133
22 A 3 2 1. 17 0.118
23 A 3 2 1. 17 0.118
24 A 2 2 1. 17 0.118
25 A 3 2 1. 17 0.118
26 A 3 2 1. 19 0.105
27 A 3 2 1. 16 0.125
28 A 3 2 1. 18 0.111
29 A 3 2 1. 18 0.111
30 A 3 2 1. 18 0.111
31 A 3 2 1. 18 0.111
32 A 3 2 1. 18 0.111
33 A 2 2 1. 22 0.091
34 A 3 3 1. 23 0.13
35 A 3 3 1. 23 0.13
36 A 3 2 1. 23 0.087
37 A 4 3 1. 23 0.13
38 A 2 2 1. 13 0.154
39 A 2 2 1. 15 0.133
40 A 3 5 1. 16 0.312
41 A 8 7 1. 18 0.389
42 A 10 8 1. 18 0.444
43 A 2 2 1. 15 0.133
44 A 6 7 1. 16 0.438
45 A 9 8 1. 18 0.444
46 A 11 9 1. 18 0.5
47 A 3 3 1. 15 0.2
48 A 8 7 1. 16 0.438
49 A 16 12 1. 18 0.667
50 A 21 11 1. 18 0.611
51 A 4 3 1. 15 0.2
52 A 11 7 1. 16 0.438
53 A 24 12 1. 18 0.667
54 A 2 2 1. 15 0.133
55 A 6 6 1. 17 0.353
56 A 9 7 1. 19 0.368
57 A 11 8 1. 19 0.421
58 A 2 2 1. 15 0.133
59 A 6 6 1. 17 0.353
60 A 6 6 1. 19 0.316
61 A 7 7 1. 19 0.368
62 A 4 4 1. 15 0.267
63 A 22 9 1. 17 0.529
64 A 43 14 1. 19 0.737
65 A 3 3 1. 25 0.12
66 A 2 2 1. 25 0.08
67 A 2 2 1. 34 0.059
68 A 2 2 1. 34 0.059
69 A 1 1 1. 13 0.077
70 A 1 1 1. 13 0.077
71 A 1 1 1. 13 0.077
72 A 4 2 1. 13 0.154
73 A 3 2 1. 13 0.154
74 A 2 2 1. 13 0.154
75 A 1 1 1. 11 0.091
76 A 1 1 1. 13 0.077
77 A 2 2 1. 13 0.154
78 A 3 2 1. 13 0.154
79 A 4 2 1. 13 0.154
80 A 1 1 1. 13 0.077
81 A 1 1 1. 13 0.077
82 A 1 1 1. 13 0.077
83 A 1 1 1. 13 0.077
84 A 5 2 1. 13 0.154
85 A 4 2 1. 13 0.154
86 A 3 2 1. 13 0.154
87 A 2 2 1. 13 0.154
88 A 1 1 1. 9 0.111
89 A 2 2 1. 13 0.154
90 A 3 2 1. 13 0.154
91 A 4 2 1. 13 0.154
92 A 5 2 1. 13 0.154
93 A 1 1 1. 13 0.077
94 A 1 1 1. 13 0.077
95 A 1 1 1. 13 0.077
96 A 1 1 1. 13 0.077
97 A 1 1 1. 13 0.077
98 A 4 2 1. 13 0.154
99 A 3 2 1. 13 0.154
100 A 2 2 1. 13 0.154
101 A 1 1 1. 13 0.077
102 A 1 1 1. 13 0.077
103 A 2 2 1. 13 0.154
104 A 3 2 1. 13 0.154
105 A 4 2 1. 13 0.154
106 A 1 1 1. 13 0.077
107 A 1 1 1. 13 0.077
108 A 1 1 1. 13 0.077
109 A 1 1 1. 13 0.077
110 A 1 1 1. 11 0.091
111 A 1 1 1. 9 0.111
112 A 1 1 1. 13 0.077
113 A 1 1 1. 13 0.077
114 A 1 1 1. 11 0.091
115 A 1 1 1. 13 0.077
116 A 1 1 1. 13 0.077
117 A 1 1 1. 13 0.077
118 A 4 3 1. 13 0.231
119 A 3 3 1. 11 0.273
120 A 2 2 1. 9 0.222
121 A 1 1 1. 13 0.077
122 A 1 1 1. 13 0.077
123 A 2 2 1. 13 0.154
124 A 3 2 1. 13 0.154
125 A 4 2 1. 13 0.154
126 A 1 1 1. 13 0.077
127 A 1 1 1. 13 0.077
128 A 1 1 1. 13 0.077
129 A 1 1 1. 13 0.077
130 A 1 1 1. 13 0.077
131 A 4 2 1. 13 0.154
132 A 3 2 1. 13 0.154
133 A 2 2 1. 11 0.182
134 A 1 1 1. 13 0.077
135 A 1 1 1. 13 0.077
136 A 2 2 1. 13 0.154
137 A 3 2 1. 13 0.154
138 A 4 2 1. 13 0.154
139 A 1 1 1. 13 0.077
140 A 1 1 1. 13 0.077
141 A 1 1 1. 13 0.077
142 A 1 1 1. 13 0.077
143 A 6 4 1. 13 0.308
144 A 5 4 1. 13 0.308
145 A 4 4 1. 13 0.308
146 A 3 3 1. 9 0.333
147 A 2 2 1. 13 0.154
148 A 3 3 1. 13 0.231
149 A 4 3 1. 13 0.231
150 A 5 3 1. 13 0.231
151 A 6 3 1. 13 0.231
152 A 1 1 1. 13 0.077
153 A 1 1 1. 13 0.077
154 A 1 1 1. 13 0.077
155 A 1 1 1. 13 0.077
156 A 1 1 1. 13 0.077
157 A 4 2 1. 13 0.154
158 A 3 2 1. 13 0.154
159 A 2 2 1. 13 0.154
160 A 1 1 1. 13 0.077
161 A 1 1 1. 13 0.077
162 A 2 2 1. 13 0.154
163 A 3 2 1. 13 0.154
164 A 4 2 1. 13 0.154
165 A 1 1 1. 13 0.077
166 A 1 1 1. 13 0.077
167 A 1 1 1. 13 0.077
168 A 1 1 1. 13 0.077
169 A 1 1 1. 11 0.091
170 A 1 1 1. 9 0.111
171 A 1 1 1. 13 0.077
172 A 1 1 1. 13 0.077
173 A 1 1 1. 13 0.077
174 A 1 1 1. 13 0.077
175 A 1 1 1. 13 0.077
176 A 1 1 1. 13 0.077
177 A 1 1 1. 11 0.091
178 A 1 1 1. 9 0.111
179 A 1 1 1. 13 0.077
180 A 1 1 1. 13 0.077
181 A 1 1 1. 13 0.077
182 A 1 1 1. 13 0.077
183 A 3 2 1. 17 0.118
184 A 2 2 1. 17 0.118
185 A 1 1 1. 15 0.067
186 A 1 1 1. 13 0.077
187 A 2 2 1. 17 0.118
188 A 3 2 1. 17 0.118
189 A 4 3 1. 19 0.158
190 A 3 3 1. 19 0.158
191 A 2 2 1. 19 0.105
192 A 3 3 1. 19 0.158
193 A 4 3 1. 19 0.158
194 A 2 2 1. 7 0.286
195 A 8 4 1. 15 0.267
196 A 6 4 1. 15 0.267
197 A 4 3 1. 13 0.231
198 A 1 1 1. 11 0.091
199 A 0 0 0. 0 0.
200 A 0 0 0. 0 0.
201 A 0 0 0. 0 0.
202 A 5 4 1. 15 0.267
203 A 4 3 1. 13 0.231
204 A 1 1 1. 11 0.091
205 A 0 0 0. 0 0.
206 A 0 0 0. 0 0.
207 A 0 0 0. 0 0.
208 A 8 5 1. 33 0.152
209 A 7 5 1. 33 0.152
210 A 6 5 1. 33 0.152
211 A 5 4 1. 31 0.129
212 A 2 2 1. 29 0.069
213 A 0 0 0. 0 0.
214 A 0 0 0. 0 0.
215 A 3 3 1. 11 0.273
216 A 13 5 1. 15 0.333
217 A 12 5 1. 15 0.333
218 A 11 4 1. 15 0.267
219 A 7 4 1. 13 0.308
220 A 2 2 1. 11 0.182
221 A 4 4 1. 15 0.267
222 A 9 7 1. 15 0.467
223 A 18 7 1. 15 0.467
224 A 19 6 1. 15 0.4
225 A 14 6 1. 15 0.4
226 A 11 6 1. 15 0.4
227 A 7 6 1. 13 0.462
228 A 3 3 1. 11 0.273
229 A 0 0 0. 0 0.
230 A 0 0 0. 0 0.
231 A 0 0 0. 0 0.
232 A 8 5 1. 15 0.333
233 A 7 5 1. 15 0.333
234 A 6 5 1. 15 0.333
235 A 4 3 1. 13 0.231
236 A 1 1 1. 11 0.091
237 A 0 0 0. 0 0.
238 A 0 0 0. 0 0.
239 A 0 0 0. 0 0.
240 A 0 0 0. 0 0.
241 A 0 0 0. 0 0.
242 A 1 1 1. 13 0.077
243 A 0 0 0. 0 0.
244 A 0 0 0. 0 0.
245 A 0 0 0. 0 0.
246 A 0 0 0. 0 0.
247 A 6 3 1. 15 0.2
248 A 5 3 1. 15 0.2
249 A 4 3 1. 13 0.231
250 A 1 1 1. 11 0.091
251 A 0 0 0. 0 0.
252 A 0 0 0. 0 0.
253 A 0 0 0. 0 0.
254 A 1 1 1. 21 0.048
255 A 1 1 1. 21 0.048
256 A 1 1 1. 21 0.048
257 A 4 2 1. 21 0.095
258 A 3 2 1. 21 0.095
259 A 2 2 1. 21 0.095
260 A 1 1 1. 19 0.053
261 A 1 1 1. 21 0.048
262 A 2 2 1. 21 0.095
263 A 3 2 1. 21 0.095
264 A 4 2 1. 21 0.095
265 A 1 1 1. 21 0.048
266 A 1 1 1. 21 0.048
267 A 1 1 1. 21 0.048
268 A 1 1 1. 21 0.048
269 A 5 2 1. 21 0.095
270 A 4 2 1. 21 0.095
271 A 3 2 1. 21 0.095
272 A 2 2 1. 21 0.095
273 A 1 1 1. 13 0.077
274 A 2 2 1. 21 0.095
275 A 3 2 1. 21 0.095
276 A 4 2 1. 21 0.095
277 A 5 2 1. 21 0.095
278 A 1 1 1. 21 0.048
279 A 1 1 1. 21 0.048
280 A 1 1 1. 21 0.048
281 A 1 1 1. 21 0.048
282 A 1 1 1. 21 0.048
283 A 4 2 1. 21 0.095
284 A 3 2 1. 21 0.095
285 A 2 2 1. 21 0.095
286 A 1 1 1. 21 0.048
287 A 1 1 1. 21 0.048
288 A 2 2 1. 21 0.095
289 A 3 2 1. 21 0.095
290 A 4 2 1. 21 0.095
291 A 1 1 1. 21 0.048
292 A 1 1 1. 21 0.048
293 A 1 1 1. 21 0.048
294 A 1 1 1. 19 0.053
295 A 1 1 1. 13 0.077
296 A 1 1 1. 21 0.048
297 A 1 1 1. 21 0.048
298 A 1 1 1. 21 0.048
299 A 3 3 1. 15 0.2
300 A 4 3 1. 15 0.2
301 A 1 1 1. 21 0.048
302 A 1 1 1. 21 0.048
303 A 1 1 1. 21 0.048
304 A 4 3 1. 21 0.143
305 A 3 3 1. 19 0.158
306 A 2 2 1. 13 0.154
307 A 1 1 1. 21 0.048
308 A 1 1 1. 21 0.048
309 A 2 2 1. 21 0.095
310 A 3 2 1. 21 0.095
311 A 4 2 1. 21 0.095
312 A 1 1 1. 21 0.048
313 A 1 1 1. 21 0.048
314 A 1 1 1. 21 0.048
315 A 1 1 1. 21 0.048
316 A 1 1 1. 21 0.048
317 A 4 2 1. 21 0.095
318 A 3 2 1. 21 0.095
319 A 2 2 1. 19 0.105
320 A 1 1 1. 21 0.048
321 A 1 1 1. 21 0.048
322 A 2 2 1. 21 0.095
323 A 3 2 1. 21 0.095
324 A 4 2 1. 21 0.095
325 A 1 1 1. 21 0.048
326 A 1 1 1. 21 0.048
327 A 1 1 1. 21 0.048
328 A 1 1 1. 21 0.048
329 A 6 4 1. 21 0.19
330 A 5 4 1. 21 0.19
331 A 4 4 1. 21 0.19
332 A 3 3 1. 13 0.231
333 A 2 2 1. 21 0.095
334 A 3 3 1. 21 0.143
335 A 4 3 1. 21 0.143
336 A 5 3 1. 21 0.143
337 A 6 3 1. 21 0.143
338 A 1 1 1. 21 0.048
339 A 1 1 1. 21 0.048
340 A 1 1 1. 21 0.048
341 A 1 1 1. 21 0.048
342 A 1 1 1. 21 0.048
343 A 4 2 1. 21 0.095
344 A 3 2 1. 21 0.095
345 A 2 2 1. 21 0.095
346 A 1 1 1. 21 0.048
347 A 1 1 1. 21 0.048
348 A 2 2 1. 21 0.095
349 A 3 2 1. 21 0.095
350 A 4 2 1. 21 0.095
351 A 1 1 1. 21 0.048
352 A 1 1 1. 21 0.048
353 A 1 1 1. 21 0.048
354 A 1 1 1. 19 0.053
355 A 1 1 1. 13 0.077
356 A 1 1 1. 21 0.048
357 A 1 1 1. 21 0.048
358 A 1 1 1. 21 0.048
359 A 1 1 1. 21 0.048
360 A 1 1 1. 21 0.048
361 A 1 1 1. 21 0.048
362 A 1 1 1. 19 0.053
363 A 1 1 1. 13 0.077
364 A 1 1 1. 21 0.048
365 A 1 1 1. 21 0.048
366 A 1 1 1. 21 0.048
367 A 1 1 1. 21 0.048
368 A 1 1 1. 25 0.04
369 A 1 1 1. 25 0.04
370 A 4 2 1. 25 0.08
371 A 3 2 1. 25 0.08
372 A 2 2 1. 25 0.08
373 A 1 1 1. 23 0.043
374 A 1 1 1. 21 0.048
375 A 2 2 1. 25 0.08
376 A 3 2 1. 25 0.08
377 A 4 2 1. 25 0.08
378 A 1 1 1. 25 0.04
379 A 1 1 1. 25 0.04
380 A 2 2 1. 25 0.08
381 A 2 2 1. 26 0.077
382 A 14 4 1. 21 0.19
383 A 11 4 1. 21 0.19
384 A 8 4 1. 21 0.19
385 A 6 4 1. 21 0.19
386 A 4 3 1. 19 0.158
387 A 1 1 1. 13 0.077
388 A 0 0 0. 0 0.
389 A 0 0 0. 0 0.
390 A 0 0 0. 0 0.
391 A 6 4 1. 19 0.21
392 A 5 4 1. 19 0.21
393 A 4 3 1. 17 0.176
394 A 1 1 1. 11 0.091
395 A 0 0 0. 0 0.
396 A 0 0 0. 0 0.
397 A 4 4 1. 21 0.19
398 A 9 7 1. 21 0.333
399 A 18 7 1. 21 0.333
400 A 36 7 1. 21 0.333
401 A 13 5 1. 19 0.263
402 A 12 5 1. 19 0.263
403 A 11 4 1. 19 0.21
404 A 7 4 1. 17 0.235
405 A 2 2 1. 11 0.182
406 A 4 4 1. 19 0.21
407 A 9 7 1. 19 0.368
408 A 18 7 1. 19 0.368
409 A 14 6 1. 19 0.316
410 A 11 6 1. 19 0.316
411 A 7 6 1. 17 0.353
412 A 3 3 1. 11 0.273
413 A 0 0 0. 0 0.
414 A 0 0 0. 0 0.
415 A 0 0 0. 0 0.
416 A 7 5 1. 19 0.263
417 A 6 5 1. 19 0.263
418 A 4 3 1. 17 0.176
419 A 1 1 1. 11 0.091
420 A 0 0 0. 0 0.
421 A 0 0 0. 0 0.
422 A 5 5 1. 26 0.192
423 A 12 8 1. 26 0.308
424 A 24 8 1. 26 0.308
425 A 48 8 1. 26 0.308
426 A 10 4 1. 16 0.25
427 A 6 4 1. 16 0.25
428 A 3 3 1. 14 0.214
429 A 2 2 1. 12 0.167
430 A 0 0 0. 0 0.
431 A 0 0 0. 0 0.
432 A 10 4 1. 17 0.235
433 A 6 4 1. 17 0.235
434 A 3 3 1. 15 0.2
435 A 2 2 1. 13 0.154
436 A 0 0 0. 0 0.
437 A 0 0 0. 0 0.
438 A 11 5 1. 17 0.294
439 A 7 5 1. 17 0.294
440 A 4 4 1. 15 0.267
441 A 3 3 1. 13 0.231
442 A 0 0 0. 0 0.
443 A 0 0 0. 0 0.
444 A 10 4 1. 20 0.2
445 A 6 4 1. 20 0.2
446 A 3 3 1. 18 0.167
447 A 0 0 0. 0 0.
448 A 0 0 0. 0 0.
449 A 0 0 0. 0 0.
450 A 2 2 1. 21 0.095
451 A 3 3 1. 21 0.143
452 A 1 1 1. 19 0.053
453 A 1 1 1. 21 0.048
454 A 3 3 1. 21 0.143
455 A 2 2 1. 21 0.095
456 A 2 2 1. 20 0.1
457 A 3 3 1. 20 0.15
458 A 1 1 1. 18 0.056
459 A 1 1 1. 20 0.05
460 A 3 3 1. 20 0.15
461 A 2 2 1. 20 0.1
462 A 8 4 1. 20 0.2
463 A 7 2 1. 20 0.1
464 A 4 2 1. 17 0.118
465 A 4 2 1. 18 0.111
466 A 7 4 1. 20 0.2
467 A 9 3 1. 23 0.13
468 A 7 2 1. 23 0.087
469 A 4 2 1. 20 0.1
470 A 4 2 1. 21 0.095
471 A 7 3 1. 23 0.13
472 A 9 4 1. 23 0.174
473 A 3 2 1. 13 0.154
474 A 3 2 1. 15 0.133
475 A 3 2 1. 14 0.143
476 A 3 2 1. 16 0.125
477 A 3 2 1. 15 0.133
478 A 3 2 1. 17 0.118
479 A 3 2 1. 16 0.125
480 A 3 2 1. 18 0.111
481 A 2 2 1. 13 0.154
482 A 2 2 1. 15 0.133
483 A 2 2 1. 14 0.143
484 A 2 2 1. 16 0.125
485 A 4 4 1. 15 0.267
486 A 4 4 1. 15 0.267
487 A 4 4 1. 16 0.25
488 A 4 4 1. 16 0.25
489 A 3 3 1. 15 0.2
490 A 3 3 1. 17 0.176
491 A 3 3 1. 16 0.188
492 A 3 3 1. 18 0.167
493 A 2 2 1. 17 0.118
494 A 2 2 1. 17 0.118
495 A 2 2 1. 18 0.111
496 A 2 2 1. 18 0.111
497 A 3 2 1. 15 0.133
498 A 3 2 1. 17 0.118
499 A 3 2 1. 16 0.125
500 A 3 2 1. 18 0.111
501 A 5 4 1. 17 0.235
502 A 5 4 1. 19 0.21
503 A 5 4 1. 18 0.222
504 A 5 4 1. 20 0.2
505 A 3 2 1. 14 0.143
506 A 6 5 1. 14 0.357
507 A 6 5 1. 12 0.417
508 A 7 7 1. 14 0.5
509 A 7 7 1. 16 0.438
510 A 11 11 1. 16 0.688
511 A 9 5 1. 16 0.312
512 A 9 5 1. 14 0.357
513 A 9 5 1. 16 0.312
514 A 9 5 1. 18 0.278
515 A 12 10 1. 18 0.556
516 A 11 6 1. 18 0.333
517 A 11 6 1. 16 0.375
518 A 11 6 1. 18 0.333
519 A 11 6 1. 20 0.3
520 A 3 2 1. 23 0.087
521 A 7 7 1. 25 0.28
522 A 7 7 1. 24 0.292
523 A 11 11 1. 25 0.44
524 A 9 5 1. 27 0.185
525 A 12 10 1. 27 0.37
526 A 11 6 1. 29 0.207
527 A 7 6 1. 37 0.162
528 A 7 6 1. 36 0.167
529 A 2 2 1. 12 0.167
530 A 7 7 1. 14 0.5
531 A 7 7 1. 16 0.438
532 A 2 2 1. 21 0.095
533 A 7 7 1. 23 0.304
534 A 7 7 1. 25 0.28
535 A 2 2 1. 12 0.167
536 A 4 3 1. 16 0.188
537 A 4 4 1. 16 0.25
538 A 8 5 1. 18 0.278
539 A 10 6 1. 20 0.3
540 A 4 4 1. 25 0.16
541 A 8 5 1. 27 0.185
542 A 10 6 1. 29 0.207
543 A 0 0 0. 0 0.
544 A 6 3 1. 50 0.06
545 A 5 3 1. 50 0.06
546 A 4 3 1. 48 0.062
547 A 3 2 1. 21 0.095
548 A 0 0 0. 0 0.
549 A 0 0 0. 0 0.
550 A 0 0 0. 0 0.
551 A 6 3 1. 47 0.064
552 A 5 3 1. 47 0.064
553 A 4 3 1. 45 0.067
554 A 1 1 1. 14 0.071
555 A 0 0 0. 0 0.
556 A 0 0 0. 0 0.
557 A 3 3 1. 37 0.081
558 A 2 2 1. 36 0.056
559 A 2 2 1. 36 0.056
560 A 2 2 1. 35 0.057
561 A 2 2 1. 36 0.056
562 A 2 2 1. 36 0.056
563 A 4 3 1. 10 0.3
564 A 3 3 1. 8 0.375
565 A 2 2 1. 7 0.286
566 A 2 2 1. 10 0.2
567 A 3 3 1. 10 0.3
568 A 4 3 1. 10 0.3
569 A 3 2 1. 10 0.2
570 A 2 2 1. 9 0.222
571 A 4 3 1. 12 0.25
572 A 13 7 1. 44 0.159
573 A 11 6 1. 44 0.136
574 A 9 5 1. 42 0.119
575 A 7 6 1. 37 0.162
576 A 0 0 0. 0 0.
577 A 0 0 0. 0 0.
578 A 9 5 1. 47 0.106
579 A 4 4 1. 18 0.222
580 A 4 4 1. 16 0.25
581 A 4 4 1. 14 0.286
582 A 4 4 1. 18 0.222
583 A 4 4 1. 18 0.222
584 A 4 4 1. 18 0.222
585 A 4 4 1. 20 0.2
586 A 3 3 1. 18 0.167
587 A 3 3 1. 16 0.188
588 A 3 3 1. 14 0.214
589 A 2 2 1. 18 0.111
590 A 3 3 1. 18 0.167
591 A 3 3 1. 18 0.167
592 A 3 3 1. 20 0.15
593 A 6 6 1. 18 0.333
594 A 6 6 1. 16 0.375
595 A 6 6 1. 14 0.429
596 A 6 6 1. 18 0.333
597 A 6 6 1. 18 0.333
598 A 6 6 1. 18 0.333
599 A 7 7 1. 20 0.35
600 A 1 1 1. 21 0.048
601 A 1 1 1. 33 0.03
602 A 2 2 1. 31 0.065
603 A 5 3 1. 31 0.097
604 A 4 3 1. 31 0.097
605 A 3 3 1. 29 0.103
606 A 1 1 1. 19 0.053
607 A 2 2 1. 31 0.065
608 A 3 3 1. 31 0.097
609 A 4 3 1. 31 0.097
610 A 7 4 1. 33 0.121
611 A 6 4 1. 33 0.121
612 A 5 4 1. 33 0.121
613 A 4 4 1. 33 0.121
614 A 3 3 1. 33 0.091
615 A 4 4 1. 33 0.121
616 A 5 4 1. 33 0.121
617 A 6 4 1. 33 0.121
618 A 7 4 1. 33 0.121
619 A 2 2 1. 19 0.105
620 A 2 2 1. 13 0.154
621 A 2 2 1. 15 0.133
622 A 2 2 1. 15 0.133
623 A 3 3 1. 17 0.176
624 A 2 2 1. 9 0.222
625 A 3 3 1. 17 0.176
626 A 3 3 1. 18 0.167
627 A 2 2 1. 13 0.154
628 A 1 1 1. 11 0.091
629 A 2 1 1. 9 0.111
630 A 3 2 1. 17 0.118
631 A 2 2 1. 17 0.118
632 A 2 2 1. 15 0.133
633 A 3 2 1. 13 0.154
634 A 3 2 1. 16 0.125
635 A 2 2 1. 13 0.154
636 A 2 2 1. 13 0.154
637 A 4 3 1.17 23 0.13
638 A 4 3 1.2 23 0.13
639 A 4 3 1. 27 0.111
640 A 2 2 1. 15 0.133
641 A 1 1 1. 17 0.059
642 A 4 4 1. 15 0.267
643 A 3 3 1. 15 0.2
644 A 3 3 1. 15 0.2
645 A 3 3 1. 18 0.167
646 A 3 3 1. 11 0.273
647 A 3 3 1. 15 0.2
648 A 2 2 1. 15 0.133
649 A 2 2 1. 15 0.133
650 A 2 2 1. 17 0.118
651 A 2 2 1. 17 0.118
652 A 1 1 1. 9 0.111
653 A 1 1 1. 11 0.091
654 A 1 1 1. 13 0.077
655 A 1 1 1. 13 0.077
656 A 13 3 1. 16 0.188
657 A 5 3 1. 7 0.429
658 A 3 2 1. 20 0.1
659 A 2 2 1. 18 0.111
660 A 1 1 1. 10 0.1
661 A 4 3 1. 20 0.15
662 A 3 2 1. 13 0.154
663 A 1 1 1. 10 0.1
664 A 2 2 1. 8 0.25
665 A 3 2 1. 15 0.133
666 A 1 1 1. 10 0.1
667 A 3 3 1. 14 0.214
668 A 6 3 1. 11 0.273
669 A 4 3 1. 18 0.167
670 A 3 2 1. 15 0.133
671 A 3 2 1. 15 0.133
672 A 4 4 1. 32 0.125
673 A 8 4 1. 11 0.364
674 A 8 4 1. 13 0.308
675 F 0 0 N/A 0 N/A
676 A 2 2 1. 23 0.087
677 F 0 0 N/A 0 N/A
678 A 3 2 1. 9 0.222
679 A 3 2 1. 9 0.222
680 A 3 2 1. 9 0.222
681 A 3 3 1. 15 0.2
682 A 3 3 1. 17 0.176
683 A 4 4 1. 15 0.267
684 A 4 4 1. 17 0.235
685 A 1 1 1. 10 0.1
686 A 3 3 1. 15 0.2
687 A 3 3 1. 15 0.2
688 A 2 2 1. 17 0.118
689 A 3 3 1. 18 0.167
690 A 4 2 1. 9 0.222
691 A 4 2 1. 11 0.182
692 A 3 3 1. 17 0.176
693 A 3 2 1. 19 0.105
694 A 3 2 1. 17 0.118
695 A 4 3 1. 15 0.2
696 A 4 4 1. 22 0.182
697 A 4 3 1. 22 0.136
698 A 2 2 1. 7 0.286
699 A 3 2 1. 12 0.167
700 A 4 3 1. 11 0.273
701 A 2 2 1. 11 0.182
702 A 2 2 1. 11 0.182
703 A 2 2 1. 13 0.154
704 A 2 2 1. 13 0.154
705 A 3 2 1. 17 0.118
706 A 4 3 1. 17 0.176
707 A 3 2 1. 13 0.154
708 A 3 2 1. 15 0.133
709 A 3 2 1. 25 0.08
710 A 15 4 1. 18 0.222
711 A 3 3 1. 13 0.231
712 A 6 4 1. 15 0.267
713 A 1 1 1. 16 0.062
714 A 3 3 1. 19 0.158
715 A 1 1 1. 15 0.067
716 A 1 1 1. 13 0.077
717 A 2 2 1. 9 0.222
718 A 6 4 1. 16 0.25
719 A 3 2 1. 15 0.133
720 A 1 1 1. 9 0.111
721 A 1 1 1. 13 0.077
722 A 1 1 1. 9 0.111
723 A 3 1 1. 9 0.111
724 A 8 3 1. 14 0.214
725 A 2 1 1. 15 0.067
726 A 1 1 1. 13 0.077
727 A 2 1 1. 23 0.043
728 A 6 3 1. 28 0.107
729 A 4 2 1. 37 0.054
730 A 0 0 0. 0 0.
731 A 0 0 0. 0 0.
732 A 0 0 0. 0 0.
733 A 4 2 1. 50 0.04
734 A 0 0 0. 0 0.
735 A 1 1 1. 16 0.062
736 A 2 1 1. 34 0.029
737 A 0 0 0. 0 0.
738 A 8 4 1. 23 0.174
739 A 4 2 1. 39 0.051
740 A 3 2 1. 26 0.077
741 A 0 0 0. 0 0.
742 A 0 0 0. 0 0.
743 A 0 0 0. 0 0.
744 A 0 0 0. 0 0.
745 A 0 0 0. 0 0.
746 A 0 0 0. 0 0.
747 A 0 0 0. 0 0.
748 A 0 0 0. 0 0.
749 A 4 3 1. 23 0.13
750 A 2 2 1. 15 0.133
751 A 2 2 1. 19 0.105
752 A 1 1 1. 9 0.111
753 A 1 1 1. 9 0.111
754 A 1 1 1. 17 0.059
755 A 1 1 1. 17 0.059
756 A 4 3 1. 11 0.273
757 A 8 4 1. 43 0.093

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