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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 C F A A A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 143 43 0 105 60 73 0
normalized size 1 1. 1.86 0.56 0. 1.36 0.78 0.95 0.
time (sec) N/A 0.131 0.07 0.009 0. 0.287 1.755 0.28 0.
Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-2) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 30 30 23 46 34 58 0 104 80
normalized size 1 1. 0.77 1.53 1.13 1.93 0. 3.47 2.67
time (sec) N/A 0.036 0.019 0.002 0.784 0.301 0. 0.264 19.648
Problem 3 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 98 292 1 107 131 8
normalized size 1 1. 1. 7. 20.86 0.07 7.64 9.36 0.57
time (sec) N/A 0.017 0.002 0.002 0.788 0.252 0.15 0.26 15.695
Problem 4 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 65 134 1 66 86 8
normalized size 1 1. 1. 4.64 9.57 0.07 4.71 6.14 0.57
time (sec) N/A 0.017 0.002 0.001 0.776 0.249 0.126 0.262 15.622
Problem 5 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 35 32 42 1 32 42 0
normalized size 1 1. 1. 0.91 1.2 0.03 0.91 1.2 0.
time (sec) N/A 0.018 0. 0.001 0.758 0.238 0.085 0.26 0.
Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 14 13 32 32 26 16 12
normalized size 1 1. 1. 0.93 2.29 2.29 1.86 1.14 0.86
time (sec) N/A 0.019 0.005 0.006 0.76 0.273 1.253 0.26 15.719
Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 13 77 77 61 16 12
normalized size 1 1. 1. 0.93 5.5 5.5 4.36 1.14 0.86
time (sec) N/A 0.018 0.007 0.004 0.779 0.274 1.866 0.26 15.686
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 14 14 14 13 122 122 97 16 12
normalized size 1 1. 1. 0.93 8.71 8.71 6.93 1.14 0.86
time (sec) N/A 0.018 0.005 0.004 0.788 0.269 2.701 0.259 15.688
Problem 9 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 84 84 159 295 275 1 175 224 83
normalized size 1 1. 1.89 3.51 3.27 0.01 2.08 2.67 0.99
time (sec) N/A 0.248 0.035 0.001 0.794 0.253 0.195 0.258 34.021
Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 56 56 82 84 126 1 87 112 0
normalized size 1 1. 1.46 1.5 2.25 0.02 1.55 2. 0.
time (sec) N/A 0.139 0.016 0.001 0.767 0.265 0.127 0.26 0.
Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 32 29 38 1 31 38 0
normalized size 1 1. 1. 0.91 1.19 0.03 0.97 1.19 0.
time (sec) N/A 0.017 0. 0.001 0.771 0.279 0.091 0.259 0.
Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 188 188 63 57 0 351 53 0 184
normalized size 1 1. 0.34 0.3 0. 1.87 0.28 0. 0.98
time (sec) N/A 0.652 0.026 0.004 0. 0.276 1.178 0. 74.946
Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 245 245 112 136 0 610 192 0 228
normalized size 1 1. 0.46 0.56 0. 2.49 0.78 0. 0.93
time (sec) N/A 0.612 0.095 0.013 0. 0.29 5.623 0. 92.298
Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 305 305 149 276 0 1160 474 0 280
normalized size 1 1. 0.49 0.9 0. 3.8 1.55 0. 0.92
time (sec) N/A 0.76 0.142 0.023 0. 0.288 23.604 0. 112.989
Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A A A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 361 361 653 861 622 1 1018 1 0
normalized size 1 1. 1.81 2.39 1.72 0. 2.82 0. 0.
time (sec) N/A 1.798 0.47 0.002 0.779 0.257 0.657 0.258 0.
Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 193 193 241 188 243 1 345 467 0
normalized size 1 1. 1.25 0.97 1.26 0.01 1.79 2.42 0.
time (sec) N/A 0.606 0.146 0.001 0.776 0.268 0.31 0.263 0.
Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 56 56 76 51 68 1 63 73 0
normalized size 1 1. 1.36 0.91 1.21 0.02 1.12 1.3 0.
time (sec) N/A 0.046 0. 0.001 0.768 0.278 0.11 0.263 0.
Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 86 80 87 151 151 0 0 0
normalized size 1 1. 0.93 1.01 1.76 1.76 0. 0. 0.
time (sec) N/A 0.147 0.088 0.012 0.784 5.575 0. 0. 0.
Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A F(-1) F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 234 234 232 398 2830 0 0 1 0
normalized size 1 1. 0.99 1.7 12.09 0. 0. 0. 0.
time (sec) N/A 0.888 1.33 0.066 0.865 0. 0. 0.28 0.
Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A F(-1) F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 495 495 490 1076 14857 0 0 1 0
normalized size 1 1. 0.99 2.17 30.01 0. 0. 0. 0.
time (sec) N/A 3.587 2.831 0.047 1.389 0. 0. 0.38 0.
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 25 25 25 20 26 26 19 27 31
normalized size 1 1. 1. 0.8 1.04 1.04 0.76 1.08 1.24
time (sec) N/A 0.033 0.009 0.006 0.855 0.32 0.255 0.262 128.344
Problem 22 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 31 26 34 34 24 35 34
normalized size 1 1. 1. 0.84 1.1 1.1 0.77 1.13 1.1
time (sec) N/A 0.043 0.01 0.01 0.859 0.321 0.291 0.261 32.079
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 10 10 10 9 11 11 8 11 8
normalized size 1 1. 1. 0.9 1.1 1.1 0.8 1.1 0.8
time (sec) N/A 0.005 0.001 0.001 0.77 0.298 0.072 0.261 1.55
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 28 28 28 29 38 35 19 41 24
normalized size 1 1. 1. 1.04 1.36 1.25 0.68 1.46 0.86
time (sec) N/A 0.033 0.008 0.014 0.765 0.317 1.274 0.26 14.178
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 22 22 22 21 27 24 15 32 19
normalized size 1 1. 1. 0.95 1.23 1.09 0.68 1.45 0.86
time (sec) N/A 0.03 0.007 0.007 0.778 0.31 0.493 0.26 156.994
Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 62 62 61 62 0 1 564 84 54
normalized size 1 1. 0.98 1. 0. 0.02 9.1 1.35 0.87
time (sec) N/A 0.112 0.132 0.013 0. 0.305 6.673 0.264 20.222
Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 89 91 0 120 20 151 109
normalized size 1 1. 0.77 0.79 0. 1.04 0.17 1.31 0.95
time (sec) N/A 0.133 0.046 0.007 0. 0.328 0.357 0.263 25.01
Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-2) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 16 17 23 22 0 24 22
normalized size 1 1. 1. 1.06 1.44 1.38 0. 1.5 1.38
time (sec) N/A 0.011 0.004 0.003 0.8 0.336 0. 0.261 1.904
Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 55 55 53 0 0 0 0 0 53
normalized size 1 1. 0.96 0. 0. 0. 0. 0. 0.96
time (sec) N/A 0.052 0.044 0.053 0. 0. 0. 0. 8.255
Problem 30 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 53 59 61 0 0 0 0 0 53
normalized size 1 1.11 1.15 0. 0. 0. 0. 0. 1.
time (sec) N/A 0.058 0.047 0.053 0. 0. 0. 0. 9.851
Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B F F F F(-1) F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 132 132 438 0 0 0 0 0 117
normalized size 1 1. 3.32 0. 0. 0. 0. 0. 0.89
time (sec) N/A 0.392 4.46 0.03 0. 0. 0. 0. 29.702
Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C F F F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 35 44 196 0 0 0 34 0 34
normalized size 1 1.26 5.6 0. 0. 0. 0.97 0. 0.97
time (sec) N/A 0.024 0.304 0.048 0. 0. 68.839 0. 3.717
Problem 33 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 270 270 285 392 502 1 299 374 0
normalized size 1 1. 1.06 1.45 1.86 0. 1.11 1.39 0.
time (sec) N/A 1.049 0.064 0.002 0.789 0.243 0.257 0.262 0.
Problem 34 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 171 171 171 231 277 1 180 224 0
normalized size 1 1. 1. 1.35 1.62 0.01 1.05 1.31 0.
time (sec) N/A 0.193 0.032 0.001 0.782 0.23 0.187 0.259 0.
Problem 35 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 92 92 92 84 127 1 95 112 0
normalized size 1 1. 1. 0.91 1.38 0.01 1.03 1.22 0.
time (sec) N/A 0.089 0.014 0.001 0.768 0.246 0.133 0.263 0.
Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 32 29 38 1 31 38 31
normalized size 1 1. 1. 0.91 1.19 0.03 0.97 1.19 0.97
time (sec) N/A 0.017 0. 0.001 0.766 0.228 0.081 0.262 3.246
Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 529 529 71 64 0 1222 88 0 0
normalized size 1 1. 0.13 0.12 0. 2.31 0.17 0. 0.
time (sec) N/A 1.998 0.045 0.056 0. 0.3 3.144 0. 0.
Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 746 746 182 232 0 4350 427 0 0
normalized size 1 1. 0.24 0.31 0. 5.83 0.57 0. 0.
time (sec) N/A 4.064 0.173 0.045 0. 0.347 20.224 0. 0.
Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 295 295 345 500 517 1 366 436 262
normalized size 1 1. 1.17 1.69 1.75 0. 1.24 1.48 0.89
time (sec) N/A 1.027 0.092 0.003 0.786 0.255 0.288 0.26 111.56
Problem 40 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 203 203 207 288 289 1 218 252 0
normalized size 1 1. 1.02 1.42 1.42 0. 1.07 1.24 0.
time (sec) N/A 0.254 0.046 0.002 0.788 0.231 0.208 0.261 0.
Problem 41 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 107 107 109 100 136 1 112 122 0
normalized size 1 1. 1.02 0.93 1.27 0.01 1.05 1.14 0.
time (sec) N/A 0.108 0.021 0.001 0.767 0.236 0.143 0.26 0.
Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 37 34 45 1 36 41 0
normalized size 1 1. 1. 0.92 1.22 0.03 0.97 1.11 0.
time (sec) N/A 0.021 0. 0.001 0.797 0.229 0.095 0.261 0.
Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 153 153 71 67 0 1505 122 0 148
normalized size 1 1. 0.46 0.44 0. 9.84 0.8 0. 0.97
time (sec) N/A 0.578 0.038 0.093 0. 0.282 5.017 0. 78.714
Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 342 342 234 288 0 5785 580 0 0
normalized size 1 1. 0.68 0.84 0. 16.92 1.7 0. 0.
time (sec) N/A 1.437 0.282 0.051 0. 0.417 44.809 0. 0.
Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 96 96 96 85 113 1 94 113 94
normalized size 1 1. 1. 0.89 1.18 0.01 0.98 1.18 0.98
time (sec) N/A 0.063 0.002 0.003 0.774 0.256 0.111 0.263 47.027
Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 74 65 86 1 71 86 71
normalized size 1 1. 1. 0.88 1.16 0.01 0.96 1.16 0.96
time (sec) N/A 0.047 0.002 0.002 0.773 0.289 0.095 0.257 34.932
Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 54 45 59 1 49 59 49
normalized size 1 1. 1. 0.83 1.09 0.02 0.91 1.09 0.91
time (sec) N/A 0.033 0.002 0.001 0.762 0.239 0.079 0.26 23.629
Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 23 20 26 1 19 26 0
normalized size 1 1. 1. 0.87 1.13 0.04 0.83 1.13 0.
time (sec) N/A 0.01 0. 0.001 0.777 0.256 0.059 0.263 0.
Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 268 268 45 41 0 0 41 0 382
normalized size 1 1. 0.17 0.15 0. 0. 0.15 0. 1.43
time (sec) N/A 0.868 0.014 0.007 0. 0. 3.041 0. 65.258
Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 357 357 113 83 0 0 71 0 439
normalized size 1 1. 0.32 0.23 0. 0. 0.2 0. 1.23
time (sec) N/A 1.016 0.027 0.012 0. 0. 3.391 0. 80.7
Problem 51 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 97 78 104 1 94 104 94
normalized size 1 1. 1. 0.8 1.07 0.01 0.97 1.07 0.97
time (sec) N/A 0.059 0.002 0.002 0.803 0.227 0.105 0.259 41.489
Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 69 69 69 58 77 1 66 77 66
normalized size 1 1. 1. 0.84 1.12 0.01 0.96 1.12 0.96
time (sec) N/A 0.042 0.001 0.002 0.789 0.228 0.093 0.26 31.77
Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 45 38 50 1 42 50 42
normalized size 1 1. 1. 0.84 1.11 0.02 0.93 1.11 0.93
time (sec) N/A 0.03 0.002 0.001 0.785 0.223 0.077 0.26 24.129
Problem 54 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 21 21 21 18 23 1 19 23 0
normalized size 1 1. 1. 0.86 1.1 0.05 0.9 1.1 0.
time (sec) N/A 0.009 0. 0.001 0.809 0.237 0.059 0.26 0.
Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 234 234 47 41 0 0 36 0 345
normalized size 1 1. 0.2 0.18 0. 0. 0.15 0. 1.47
time (sec) N/A 0.704 0.024 0.007 0. 0. 2.769 0. 62.878
Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 317 317 108 79 0 0 71 0 393
normalized size 1 1. 0.34 0.25 0. 0. 0.22 0. 1.24
time (sec) N/A 0.871 0.04 0.013 0. 0. 3.39 0. 77.583
Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 104 104 104 85 113 1 100 113 100
normalized size 1 1. 1. 0.82 1.09 0.01 0.96 1.09 0.96
time (sec) N/A 0.067 0.003 0.002 0.808 0.224 0.134 0.262 74.742
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 76 76 76 65 86 1 73 86 73
normalized size 1 1. 1. 0.86 1.13 0.01 0.96 1.13 0.96
time (sec) N/A 0.05 0.002 0.002 0.806 0.237 0.111 0.262 61.257
Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 52 52 52 45 59 1 49 59 49
normalized size 1 1. 1. 0.87 1.13 0.02 0.94 1.13 0.94
time (sec) N/A 0.035 0.002 0.002 0.8 0.224 0.086 0.26 50.015
Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 30 30 30 25 32 1 27 32 0
normalized size 1 1. 1. 0.83 1.07 0.03 0.9 1.07 0.
time (sec) N/A 0.012 0. 0. 0.8 0.233 0.063 0.261 0.
Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 263 263 55 49 0 0 41 0 372
normalized size 1 1. 0.21 0.19 0. 0. 0.16 0. 1.41
time (sec) N/A 1.147 0.016 0.007 0. 0. 3.046 0. 89.264
Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 366 366 128 96 0 0 76 0 428
normalized size 1 1. 0.35 0.26 0. 0. 0.21 0. 1.17
time (sec) N/A 1.414 0.031 0.012 0. 0. 3.841 0. 103.641
Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A A A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 14 164 799 1 185 220 0
normalized size 1 1. 1. 11.71 57.07 0.07 13.21 15.71 0.
time (sec) N/A 0.035 0.003 0.002 0.814 0.239 0.233 0.26 0.
Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A A A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 14 109 308 1 114 146 0
normalized size 1 1. 1. 7.79 22. 0.07 8.14 10.43 0.
time (sec) N/A 0.032 0.002 0.002 0.812 0.228 0.172 0.261 0.
Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A B B B A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 61 61 54 72 1 60 72 0
normalized size 1 4.36 4.36 3.86 5.14 0.07 4.29 5.14 0.
time (sec) N/A 0.034 0. 0.001 0.795 0.237 0.105 0.259 0.
Problem 66 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 14 14 14 13 62 62 49 16 0
normalized size 1 1. 1. 0.93 4.43 4.43 3.5 1.14 0.
time (sec) N/A 0.035 0.006 0.006 0.832 0.271 1.684 0.259 0.
Problem 67 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 14 14 14 13 136 136 109 16 0
normalized size 1 1. 1. 0.93 9.71 9.71 7.79 1.14 0.
time (sec) N/A 0.033 0.005 0.004 0.824 0.247 3.076 0.258 0.
Problem 68 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 14 14 14 13 211 211 168 16 0
normalized size 1 1. 1. 0.93 15.07 15.07 12. 1.14 0.
time (sec) N/A 0.033 0.006 0.004 0.82 0.271 5.72 0.261 0.
Problem 69 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 38 38 38 31 41 41 29 42 0
normalized size 1 1. 1. 0.82 1.08 1.08 0.76 1.11 0.
time (sec) N/A 0.049 0.011 0.01 0.909 0.257 0.319 0.263 0.
Problem 70 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 84 84 84 65 86 1 80 86 0
normalized size 1 1. 1. 0.77 1.02 0.01 0.95 1.02 0.
time (sec) N/A 0.331 0.002 0.003 0.816 0.241 0.12 0.26 0.
Problem 71 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 63 63 63 50 66 1 60 66 0
normalized size 1 1. 1. 0.79 1.05 0.02 0.95 1.05 0.
time (sec) N/A 0.293 0.003 0.002 0.811 0.256 0.101 0.261 0.
Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 44 35 46 1 41 46 0
normalized size 1 1. 1. 0.8 1.05 0.02 0.93 1.05 0.
time (sec) N/A 0.233 0.001 0.002 0.819 0.23 0.085 0.26 0.
Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 20 26 1 22 26 22
normalized size 1 1. 1. 0.8 1.04 0.04 0.88 1.04 0.88
time (sec) N/A 0.01 0. 0.001 0.824 0.23 0.065 0.261 1.918
Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 62 42 73 88 63 84 0
normalized size 1 1. 2. 1.35 2.35 2.84 2.03 2.71 0.
time (sec) N/A 0.049 0.024 0.015 0.885 0.254 0.322 0.262 0.
Problem 75 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 89 89 103 84 120 266 104 131 0
normalized size 1 1. 1.16 0.94 1.35 2.99 1.17 1.47 0.
time (sec) N/A 0.123 0.088 0.031 0.895 0.26 3.853 0.263 0.
Problem 76 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 161 161 137 126 161 408 134 151 0
normalized size 1 1. 0.85 0.78 1. 2.53 0.83 0.94 0.
time (sec) N/A 0.244 0.155 0.035 0.917 0.274 4.311 0.262 0.
Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A B A A A A A A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 91 205 132 116 162 324 296 181 0
normalized size 1 2.25 1.45 1.27 1.78 3.56 3.25 1.99 0.
time (sec) N/A 0.265 0.146 0.028 0.888 0.291 4.001 0.269 0.
Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 73 127 0 1 209 104 0
normalized size 1 1. 0.94 1.63 0. 0.01 2.68 1.33 0.
time (sec) N/A 0.14 0.085 0.011 0. 0.258 2.843 0.263 0.
Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 54 89 0 1 153 73 49
normalized size 1 1. 1.08 1.78 0. 0.02 3.06 1.46 0.98
time (sec) N/A 0.092 0.046 0.004 0. 0.28 2.182 0.263 13.093
Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 38 54 0 1 124 58 36
normalized size 1 1. 0.93 1.32 0. 0.02 3.02 1.41 0.88
time (sec) N/A 0.053 0.022 0.004 0. 0.257 0.645 0.267 7.569
Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 21 28 0 1 54 23 17
normalized size 1 1. 1. 1.33 0. 0.05 2.57 1.1 0.81
time (sec) N/A 0.02 0.006 0.002 0. 0.274 0.444 0.26 2.476
Problem 82 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 48 72 0 1 738 84 53
normalized size 1 1. 0.81 1.22 0. 0.02 12.51 1.42 0.9
time (sec) N/A 0.082 0.057 0.008 0. 0.274 5.978 0.261 10.961
Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 79 79 81 123 0 1 1620 158 76
normalized size 1 1. 1.03 1.56 0. 0.01 20.51 2. 0.96
time (sec) N/A 0.191 0.075 0.011 0. 0.278 15.447 0.266 24.022
Problem 84 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 121 121 106 198 0 1 3284 263 112
normalized size 1 1. 0.88 1.64 0. 0.01 27.14 2.17 0.93
time (sec) N/A 0.277 0.225 0.012 0. 0.295 24.795 0.265 37.117
Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 31 34 0 1 61 32 27
normalized size 1 1. 1. 1.1 0. 0.03 1.97 1.03 0.87
time (sec) N/A 0.037 0.015 0.008 0. 0.259 0.632 0.262 4.631
Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 60 86 0 1 117 88 49
normalized size 1 1. 0.95 1.37 0. 0.02 1.86 1.4 0.78
time (sec) N/A 0.065 0.042 0.005 0. 0.275 2.956 0.263 6.905
Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 91 91 75 147 0 1 257 139 78
normalized size 1 1. 0.82 1.62 0. 0.01 2.82 1.53 0.86
time (sec) N/A 0.094 0.111 0.007 0. 0.297 6.45 0.26 9.713
Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 35 42 89 1 92 41 31
normalized size 1 1. 1. 1.2 2.54 0.03 2.63 1.17 0.89
time (sec) N/A 0.067 0.024 0.012 0.888 0.285 0.552 0.261 10.251
Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 10 11 24 14 24 14 7
normalized size 1 1. 1. 1.1 2.4 1.4 2.4 1.4 0.7
time (sec) N/A 0.009 0.006 0.005 0.903 0.252 0.385 0.26 1.627
Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 59 69 74 56 55 26
normalized size 1 1. 0.84 1.59 1.86 2. 1.51 1.49 0.7
time (sec) N/A 0.024 0.019 0.008 0.907 0.254 2.312 0.263 2.461
Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 52 94 155 207 146 99 49
normalized size 1 1. 0.87 1.57 2.58 3.45 2.43 1.65 0.82
time (sec) N/A 0.037 0.025 0.005 0.902 0.258 4.928 0.261 3.207
Problem 92 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 32 26 34 30 22 36 7
normalized size 1 1. 3.2 2.6 3.4 3. 2.2 3.6 0.7
time (sec) N/A 0.009 0.008 0.01 0.816 0.272 0.4 0.262 1.686
Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 39 39 45 52 76 115 53 76 26
normalized size 1 1. 1.15 1.33 1.95 2.95 1.36 1.95 0.67
time (sec) N/A 0.029 0.033 0.014 0.804 0.258 2.279 0.265 2.6
Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 65 78 165 297 141 119 49
normalized size 1 1. 1.02 1.22 2.58 4.64 2.2 1.86 0.77
time (sec) N/A 0.049 0.045 0.015 0.826 0.269 4.881 0.263 3.413
Problem 95 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 4 4 15 12 15 15 10 18 3
normalized size 1 1. 3.75 3. 3.75 3.75 2.5 4.5 0.75
time (sec) N/A 0.006 0.004 0.007 0.805 0.257 0.178 0.262 0.343
Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 26 24 34 53 22 36 17
normalized size 1 1. 0.96 0.89 1.26 1.96 0.81 1.33 0.63
time (sec) N/A 0.017 0.03 0.013 0.797 0.274 0.237 0.262 1.379
Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 37 36 59 96 44 53 34
normalized size 1 1. 0.82 0.8 1.31 2.13 0.98 1.18 0.76
time (sec) N/A 0.03 0.029 0.013 0.807 0.266 0.339 0.262 1.661
Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 59 59 64 64 73 73 58 84 0
normalized size 1 1. 1.08 1.08 1.24 1.24 0.98 1.42 0.
time (sec) N/A 0.115 0.037 0.002 0.797 0.272 1.272 0.262 0.
Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 11 12 15 15 10 15 10
normalized size 1 1. 1.1 1.2 1.5 1.5 1. 1.5 1.
time (sec) N/A 0.029 0.011 0.003 0.802 0.289 0.148 0.265 5.572
Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 51 35 49 47 0 31 34
normalized size 1 1. 1.16 0.8 1.11 1.07 0. 0.7 0.77
time (sec) N/A 0.066 0.033 0.006 0.89 0.28 0. 0.266 8.278
Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 67 67 55 152 0 100 0 74 54
normalized size 1 1. 0.82 2.27 0. 1.49 0. 1.1 0.81
time (sec) N/A 0.121 0.075 0.022 0. 0.276 0. 0.281 14.127
Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A F A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 51 146 0 369 0 95 54
normalized size 1 1. 0.81 2.32 0. 5.86 0. 1.51 0.86
time (sec) N/A 0.101 0.066 0.013 0. 0.269 0. 0.274 11.261
Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 234 234 132 108 0 0 238 0 0
normalized size 1 1. 0.56 0.46 0. 0. 1.02 0. 0.
time (sec) N/A 0.699 0.076 0.007 0. 0. 8.967 0. 0.
Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 210 210 81 74 0 0 158 0 204
normalized size 1 1. 0.39 0.35 0. 0. 0.75 0. 0.97
time (sec) N/A 0.473 0.045 0.006 0. 0. 3.167 0. 52.289
Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 180 180 79 72 0 0 83 0 175
normalized size 1 1. 0.44 0.4 0. 0. 0.46 0. 0.97
time (sec) N/A 0.332 0.037 0.004 0. 0. 2.214 0. 39.679
Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 140 140 116 71 0 161 26 0 134
normalized size 1 1. 0.83 0.51 0. 1.15 0.19 0. 0.96
time (sec) N/A 0.225 0.054 0.003 0. 0.268 0.695 0. 30.099
Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 224 238 119 105 0 0 559 0 219
normalized size 1 1.06 0.53 0.47 0. 0. 2.5 0. 0.98
time (sec) N/A 0.609 0.077 0.009 0. 0. 52.142 0. 74.278
Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 314 312 173 144 0 0 0 0 314
normalized size 1 0.99 0.55 0.46 0. 0. 0. 0. 1.
time (sec) N/A 1.091 0.141 0.014 0. 0. 0. 0. 133.834
Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) F(-1) F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 393 393 244 217 0 0 0 0 0
normalized size 1 1. 0.62 0.55 0. 0. 0. 0. 0.
time (sec) N/A 1.211 0.23 0.017 0. 0. 0. 0. 0.
Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 356 356 106 97 0 0 374 0 338
normalized size 1 1. 0.3 0.27 0. 0. 1.05 0. 0.95
time (sec) N/A 0.83 0.067 0.019 0. 0. 11.154 0. 91.503
Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 318 318 106 97 0 0 274 0 301
normalized size 1 1. 0.33 0.31 0. 0. 0.86 0. 0.95
time (sec) N/A 0.654 0.053 0.005 0. 0. 8.282 0. 80.479
Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 261 261 104 95 0 0 131 0 250
normalized size 1 1. 0.4 0.36 0. 0. 0.5 0. 0.96
time (sec) N/A 0.543 0.043 0.006 0. 0. 2.924 0. 67.394
Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 221 221 161 94 0 215 26 0 202
normalized size 1 1. 0.73 0.43 0. 0.97 0.12 0. 0.91
time (sec) N/A 0.373 0.136 0.004 0. 0.264 0.838 0. 52.5
Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 393 393 163 139 0 0 0 0 360
normalized size 1 1. 0.41 0.35 0. 0. 0. 0. 0.92
time (sec) N/A 0.985 0.106 0.011 0. 0. 0. 0. 115.583
Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) F(-1) F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 496 496 238 188 0 0 0 0 0
normalized size 1 1. 0.48 0.38 0. 0. 0. 0. 0.
time (sec) N/A 1.923 0.195 0.017 0. 0. 0. 0. 0.
Problem 116 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 123 123 195 264 259 1 199 296 0
normalized size 1 1. 1.59 2.15 2.11 0.01 1.62 2.41 0.
time (sec) N/A 0.424 0.047 0.002 0.82 0.226 0.23 0.26 0.
Problem 117 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 120 120 114 138 161 1 114 173 0
normalized size 1 1. 0.95 1.15 1.34 0.01 0.95 1.44 0.
time (sec) N/A 0.119 0.026 0.002 0.799 0.239 0.164 0.259 0.
Problem 118 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 72 72 66 63 88 1 65 88 0
normalized size 1 1. 0.92 0.88 1.22 0.01 0.9 1.22 0.
time (sec) N/A 0.06 0.014 0.001 0.803 0.26 0.107 0.263 0.
Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 26 26 26 23 30 1 22 30 0
normalized size 1 1. 1. 0.88 1.15 0.04 0.85 1.15 0.
time (sec) N/A 0.012 0. 0.001 0.803 0.248 0.067 0.262 0.
Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 57 49 0 617 66 0 73
normalized size 1 1. 0.64 0.55 0. 6.93 0.74 0. 0.82
time (sec) N/A 0.175 0.023 0.023 0. 0.271 2.28 0. 31.268
Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 169 169 150 158 0 2630 292 0 143
normalized size 1 1. 0.89 0.93 0. 15.56 1.73 0. 0.85
time (sec) N/A 0.627 0.08 0.029 0. 0.287 14.985 0. 58.933
Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 252 252 254 398 0 5361 0 0 226
normalized size 1 1. 1.01 1.58 0. 21.27 0. 0. 0.9
time (sec) N/A 1.414 0.188 0.045 0. 0.286 0. 0. 120.835
Problem 123 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 210 210 204 267 246 1 212 300 0
normalized size 1 1. 0.97 1.27 1.17 0. 1.01 1.43 0.
time (sec) N/A 0.483 0.048 0.002 0.815 0.226 0.249 0.26 0.
Problem 124 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 134 134 130 143 153 1 128 180 0
normalized size 1 1. 0.97 1.07 1.14 0.01 0.96 1.34 0.
time (sec) N/A 0.295 0.032 0.002 0.802 0.232 0.177 0.259 0.
Problem 125 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 79 79 75 66 80 1 70 92 0
normalized size 1 1. 0.95 0.84 1.01 0.01 0.89 1.16 0.
time (sec) N/A 0.164 0.015 0.002 0.805 0.226 0.114 0.259 0.
Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 35 28 36 1 29 36 0
normalized size 1 1. 1. 0.8 1.03 0.03 0.83 1.03 0.
time (sec) N/A 0.027 0.002 0.001 0.809 0.239 0.065 0.261 0.
Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 116 116 59 50 0 0 155 0 99
normalized size 1 1. 0.51 0.43 0. 0. 1.34 0. 0.85
time (sec) N/A 0.241 0.028 0.004 0. 0. 8.243 0. 43.048
Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 231 231 166 162 0 0 539 0 184
normalized size 1 1. 0.72 0.7 0. 0. 2.33 0. 0.8
time (sec) N/A 0.74 0.099 0.025 0. 0. 45.002 0. 82.061
Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 349 349 284 405 0 0 0 0 292
normalized size 1 1. 0.81 1.16 0. 0. 0. 0. 0.84
time (sec) N/A 1.513 0.208 0.036 0. 0. 0. 0. 161.775
Problem 130 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 210 210 204 267 246 1 219 300 0
normalized size 1 1. 0.97 1.27 1.17 0. 1.04 1.43 0.
time (sec) N/A 0.505 0.051 0.002 0.788 0.23 0.257 0.26 0.
Problem 131 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 138 138 132 143 153 1 134 180 0
normalized size 1 1. 0.96 1.04 1.11 0.01 0.97 1.3 0.
time (sec) N/A 0.324 0.03 0.002 0.803 0.237 0.177 0.262 0.
Problem 132 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 79 79 73 66 80 1 73 92 0
normalized size 1 1. 0.92 0.84 1.01 0.01 0.92 1.16 0.
time (sec) N/A 0.19 0.019 0.001 0.803 0.228 0.116 0.26 0.
Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 35 28 36 1 29 36 0
normalized size 1 1. 1. 0.8 1.03 0.03 0.83 1.03 0.
time (sec) N/A 0.026 0.002 0.001 0.782 0.236 0.072 0.259 0.
Problem 134 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 99 99 61 52 0 0 172 0 85
normalized size 1 1. 0.62 0.53 0. 0. 1.74 0. 0.86
time (sec) N/A 0.22 0.029 0.004 0. 0. 11.916 0. 54.805
Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 225 225 182 160 0 0 559 0 180
normalized size 1 1. 0.81 0.71 0. 0. 2.48 0. 0.8
time (sec) N/A 0.536 0.102 0.015 0. 0. 49.138 0. 78.192
Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) F(-1) F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 545 545 99 93 0 0 0 0 0
normalized size 1 1. 0.18 0.17 0. 0. 0. 0. 0.
time (sec) N/A 4.493 0.095 0.014 0. 0. 0. 0. 0.
Problem 137 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) F(-1) F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 487 487 99 93 0 0 0 0 0
normalized size 1 1. 0.2 0.19 0. 0. 0. 0. 0.
time (sec) N/A 3.088 0.078 0.005 0. 0. 0. 0. 0.
Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 334 334 97 93 0 0 167 0 0
normalized size 1 1. 0.29 0.28 0. 0. 0.5 0. 0.
time (sec) N/A 2.268 0.067 0.006 0. 0. 81.725 0. 0.
Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) F(-1) F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 469 469 95 91 0 0 0 0 0
normalized size 1 1. 0.2 0.19 0. 0. 0. 0. 0.
time (sec) N/A 2.964 0.068 0.005 0. 0. 0. 0. 0.
Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) F(-1) F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 522 522 99 90 0 0 0 0 0
normalized size 1 1. 0.19 0.17 0. 0. 0. 0. 0.
time (sec) N/A 3.523 0.09 0.005 0. 0. 0. 0. 0.
Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) F(-1) F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 563 563 157 134 0 0 0 0 0
normalized size 1 1. 0.28 0.24 0. 0. 0. 0. 0.
time (sec) N/A 3.91 0.147 0.013 0. 0. 0. 0. 0.
Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-1) F(-1) F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 645 640 163 133 0 0 0 0 0
normalized size 1 0.99 0.25 0.21 0. 0. 0. 0. 0.
time (sec) N/A 5.037 0.195 0.011 0. 0. 0. 0. 0.
Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 395 395 61 56 0 0 70 0 0
normalized size 1 1. 0.15 0.14 0. 0. 0.18 0. 0.
time (sec) N/A 3.49 0.024 0.009 0. 0. 0.607 0. 0.
Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 377 377 61 56 0 0 65 0 0
normalized size 1 1. 0.16 0.15 0. 0. 0.17 0. 0.
time (sec) N/A 2.742 0.02 0.007 0. 0. 0.711 0. 0.
Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 361 361 61 56 0 0 61 0 0
normalized size 1 1. 0.17 0.16 0. 0. 0.17 0. 0.
time (sec) N/A 1.905 0.02 0.007 0. 0. 0.673 0. 0.
Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 248 248 59 56 0 0 48 0 0
normalized size 1 1. 0.24 0.23 0. 0. 0.19 0. 0.
time (sec) N/A 1.323 0.019 0.008 0. 0. 0.485 0. 0.
Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 361 361 57 54 0 0 61 0 0
normalized size 1 1. 0.16 0.15 0. 0. 0.17 0. 0.
time (sec) N/A 2.005 0.019 0.007 0. 0. 0.692 0. 0.
Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 377 377 62 53 0 0 65 0 0
normalized size 1 1. 0.16 0.14 0. 0. 0.17 0. 0.
time (sec) N/A 2.734 0.018 0.007 0. 0. 0.689 0. 0.
Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 415 415 103 75 0 0 82 0 0
normalized size 1 1. 0.25 0.18 0. 0. 0.2 0. 0.
time (sec) N/A 3.066 0.029 0.013 0. 0. 1.063 0. 0.
Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 448 448 109 74 0 0 70 0 0
normalized size 1 1. 0.24 0.17 0. 0. 0.16 0. 0.
time (sec) N/A 3.689 0.029 0.012 0. 0. 0.81 0. 0.
Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 1064 1064 167 122 0 0 112 0 0
normalized size 1 1. 0.16 0.11 0. 0. 0.11 0. 0.
time (sec) N/A 8.291 0.058 0.016 0. 0. 1.189 0. 0.
Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 1005 1005 167 122 0 0 112 0 0
normalized size 1 1. 0.17 0.12 0. 0. 0.11 0. 0.
time (sec) N/A 8.294 0.04 0.016 0. 0. 1.201 0. 0.
Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 675 675 167 122 0 0 112 0 0
normalized size 1 1. 0.25 0.18 0. 0. 0.17 0. 0.
time (sec) N/A 5.068 0.055 0.016 0. 0. 1.173 0. 0.
Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F F(-1)
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 682 682 167 122 0 0 104 0 0
normalized size 1 1. 0.24 0.18 0. 0. 0.15 0. 0.
time (sec) N/A 4.233 0.043 0.015 0. 0. 0.872 0. 0.
Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F F(-1)
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 850 850 167 122 0 0 112 0 0
normalized size 1 1. 0.2 0.14 0. 0. 0.13 0. 0.
time (sec) N/A 5.221 0.054 0.015 0. 0. 1.182 0. 0.
Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F F(-1)
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 873 873 167 122 0 0 112 0 0
normalized size 1 1. 0.19 0.14 0. 0. 0.13 0. 0.
time (sec) N/A 6.346 0.042 0.014 0. 0. 1.207 0. 0.
Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F F(-1)
verified N/A NO Yes TBD TBD TBD TBD TBD TBD
size 986 986 167 122 0 0 112 0 0
normalized size 1 1. 0.17 0.12 0. 0. 0.11 0. 0.
time (sec) N/A 7.463 0.054 0.015 0. 0. 1.192 0. 0.
Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 22 28 28 22 28 0
normalized size 1 1. 1. 0.88 1.12 1.12 0.88 1.12 0.
time (sec) N/A 0.034 0.003 0.001 0.808 0.242 0.141 0.26 0.
Problem 159 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 94 94 79 114 142 142 90 493 0
normalized size 1 1. 0.84 1.21 1.51 1.51 0.96 5.24 0.
time (sec) N/A 0.234 0.062 0.005 0.82 0.248 1.683 0.264 0.
Problem 160 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 15 15 172 155 18 1 175 208 10
normalized size 1 1. 11.47 10.33 1.2 0.07 11.67 13.87 0.67
time (sec) N/A 0.015 0.01 0. 0.807 0.232 0.273 0.261 3.164
Problem 161 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 18 18 182 157 211 1 182 211 12
normalized size 1 1. 10.11 8.72 11.72 0.06 10.11 11.72 0.67
time (sec) N/A 0.024 0.009 0.003 0.804 0.236 0.274 0.26 12.872
Problem 162 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 18 18 186 157 211 1 185 211 12
normalized size 1 1. 10.33 8.72 11.72 0.06 10.28 11.72 0.67
time (sec) N/A 0.025 0.01 0.003 0.814 0.229 0.288 0.262 12.339
Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) A F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 21 230 0 354 0 275 0
normalized size 1 1. 1. 10.95 0. 16.86 0. 13.1 0.
time (sec) N/A 0.07 0.059 0.062 0. 0.286 0. 0.39 0.
Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 9 9 14 14 8 15 8
normalized size 1 1. 0.9 0.9 1.4 1.4 0.8 1.5 0.8
time (sec) N/A 0.01 0.006 0.001 0.805 0.25 1.074 0.26 3.224
Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 14 18 18 12 24 15
normalized size 1 1. 1. 0.93 1.2 1.2 0.8 1.6 1.
time (sec) N/A 0.065 0.009 0.007 0.791 0.25 1.216 0.262 11.159
Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 14 18 18 12 20 15
normalized size 1 1. 1. 0.93 1.2 1.2 0.8 1.33 1.
time (sec) N/A 0.063 0.011 0.006 0.81 0.247 1.278 0.261 10.284
Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 18 63 31 29 0 15
normalized size 1 1. 1. 1.2 4.2 2.07 1.93 0. 1.
time (sec) N/A 0.062 0.017 0.022 0.817 0.267 4.519 0. 11.065
Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 14 177 18 109 87 18 14
normalized size 1 1. 0.93 11.8 1.2 7.27 5.8 1.2 0.93
time (sec) N/A 0.01 0.034 0. 0.808 0.263 17.678 0.263 3.153
Problem 169 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 18 18 16 197 109 109 0 20 15
normalized size 1 1. 0.89 10.94 6.06 6.06 0. 1.11 0.83
time (sec) N/A 0.015 0.048 0.021 0.833 0.258 0. 0.264 12.589
Problem 170 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 18 18 16 197 109 109 0 20 15
normalized size 1 1. 0.89 10.94 6.06 6.06 0. 1.11 0.83
time (sec) N/A 0.014 0.06 0.019 0.814 0.278 0. 0.267 12.802
Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B A A F(-1) F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 127 203 826 193 0 0 0
normalized size 1 1. 6.05 9.67 39.33 9.19 0. 0. 0.
time (sec) N/A 0.069 0.08 0.09 0.859 0.462 0. 0. 0.
Problem 172 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 17 24 0 35 46 55 14
normalized size 1 1. 0.89 1.26 0. 1.84 2.42 2.89 0.74
time (sec) N/A 0.015 0.033 0. 0. 0.267 1.675 0.266 3.504
Problem 173 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 31 47 43 0 73 20
normalized size 1 1. 1. 1.15 1.74 1.59 0. 2.7 0.74
time (sec) N/A 0.019 0.051 0.006 0.93 0.275 0. 0.269 11.5
Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A C A C A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 116 27 142 47 45 0 0 102
normalized size 1 4.3 1. 5.26 1.74 1.67 0. 0. 3.78
time (sec) N/A 0.222 0.029 0.173 0.921 0.274 0. 0. 32.265
Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 29 33 47 46 0 78 22
normalized size 1 1. 1. 1.14 1.62 1.59 0. 2.69 0.76
time (sec) N/A 0.02 0.053 0.006 0.925 0.282 0. 0.274 11.231
Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A F A A F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 36 36 31 0 53 57 0 0 26
normalized size 1 1. 0.86 0. 1.47 1.58 0. 0. 0.72
time (sec) N/A 0.145 0.109 0.113 1.132 0.274 0. 0. 12.878
Problem 177 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 27 35 35 29 35 0
normalized size 1 1. 1. 0.84 1.09 1.09 0.91 1.09 0.
time (sec) N/A 0.037 0.003 0.002 0.794 0.245 0.149 0.26 0.
Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 11 14 14 8 14 0
normalized size 1 1. 1. 0.92 1.17 1.17 0.67 1.17 0.
time (sec) N/A 0.035 0.001 0.001 0.816 0.244 0.158 0.263 0.
Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 42 42 42 32 0 1 124 42 37
normalized size 1 1. 1. 0.76 0. 0.02 2.95 1. 0.88
time (sec) N/A 0.068 0.025 0.006 0. 0.256 0.813 0.266 34.432
Problem 180 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 25 25 23 26 0 51 0 132 20
normalized size 1 1. 0.92 1.04 0. 2.04 0. 5.28 0.8
time (sec) N/A 0.018 0.049 0.006 0. 0.297 0. 0.289 7.834
Problem 181 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 24 24 21 34 0 49 0 100 19
normalized size 1 1. 0.88 1.42 0. 2.04 0. 4.17 0.79
time (sec) N/A 0.016 0.052 0.006 0. 0.27 0. 0.27 7.362
Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 24 26 53 47 0 104 20
normalized size 1 1. 0.96 1.04 2.12 1.88 0. 4.16 0.8
time (sec) N/A 0.019 0.051 0.005 0.917 0.286 0. 0.27 12.587
Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 20 21 0 38 0 80 15
normalized size 1 1. 1. 1.05 0. 1.9 0. 4. 0.75
time (sec) N/A 0.014 0.03 0.005 0. 0.274 0. 0.266 4.493
Problem 184 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 26 0 35 73 55 14
normalized size 1 1. 1. 1.37 0. 1.84 3.84 2.89 0.74
time (sec) N/A 0.013 0.039 0.005 0. 0.271 42.401 0.272 4.023
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 22 22 22 23 42 36 0 63 17
normalized size 1 1. 1. 1.05 1.91 1.64 0. 2.86 0.77
time (sec) N/A 0.016 0.035 0.004 0.913 0.281 0. 0.275 6.37
Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 21 23 0 43 0 90 17
normalized size 1 1. 0.95 1.05 0. 1.95 0. 4.09 0.77
time (sec) N/A 0.015 0.035 0.004 0. 0.271 0. 0.275 7.303
Problem 187 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 21 21 19 28 0 41 53 63 15
normalized size 1 1. 0.9 1.33 0. 1.95 2.52 3. 0.71
time (sec) N/A 0.015 0.038 0.005 0. 0.279 2.426 0.277 6.416
Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 22 28 43 42 56 63 124
normalized size 1 1. 0.92 1.17 1.79 1.75 2.33 2.62 5.17
time (sec) N/A 0.018 0.041 0.004 0.912 0.271 18.302 0.275 40.988
Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 23 43 39 53 63 31
normalized size 1 1. 1. 1.05 1.95 1.77 2.41 2.86 1.41
time (sec) N/A 0.017 0.036 0.004 0.895 0.281 17.763 0.266 17.106
Problem 190 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 22 22 21 23 43 43 0 90 17
normalized size 1 1. 0.95 1.05 1.95 1.95 0. 4.09 0.77
time (sec) N/A 0.015 0.021 0.004 0.865 0.268 0. 0.272 4.937
Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 19 28 43 41 53 63 15
normalized size 1 1. 0.9 1.33 2.05 1.95 2.52 3. 0.71
time (sec) N/A 0.015 0.03 0.004 0.907 0.276 2.405 0.267 4.429
Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 143 25686 26 1 1771 1 17
normalized size 1 1. 6.81 1223.14 1.24 0.05 84.33 0.05 0.81
time (sec) N/A 0.043 0.243 0.006 0.789 0.236 1.172 0.268 14.439
Problem 193 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 20 20 18 5596 24 1 469 670 15
normalized size 1 1. 0.9 279.8 1.2 0.05 23.45 33.5 0.75
time (sec) N/A 0.023 0.047 0.004 0.814 0.239 0.447 0.267 19.124
Problem 194 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 19 19 18 5596 595 1 469 670 15
normalized size 1 1. 0.95 294.53 31.32 0.05 24.68 35.26 0.79
time (sec) N/A 0.026 0.02 0.002 0.821 0.235 0.408 0.26 15.275
Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 127 2185 19 1 483 656 12
normalized size 1 1. 7.94 136.56 1.19 0.06 30.19 41. 0.75
time (sec) N/A 0.02 0.106 0.004 0.81 0.234 0.411 0.26 5.268
Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 98 89 119 1 97 119 12
normalized size 1 1. 6.12 5.56 7.44 0.06 6.06 7.44 0.75
time (sec) N/A 0.014 0.006 0.002 0.819 0.23 0.162 0.261 10.471
Problem 197 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 15 15 98 89 18 1 97 119 12
normalized size 1 1. 6.53 5.93 1.2 0.07 6.47 7.93 0.8
time (sec) N/A 0.014 0.004 0.002 0.839 0.236 0.182 0.261 12.06
Problem 198 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 18 18 115 2205 22 1 484 659 14
normalized size 1 1. 6.39 122.5 1.22 0.06 26.89 36.61 0.78
time (sec) N/A 0.021 0.111 0.004 0.803 0.231 0.432 0.262 7.85
Problem 199 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 17 17 98 89 20 1 97 119 10
normalized size 1 1. 5.76 5.24 1.18 0.06 5.71 7. 0.59
time (sec) N/A 0.015 0.006 0.003 0.791 0.256 0.19 0.258 8.
Problem 200 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 18 18 98 89 119 1 97 119 10
normalized size 1 1. 5.44 4.94 6.61 0.06 5.39 6.61 0.56
time (sec) N/A 0.016 0.005 0.003 0.793 0.229 0.188 0.26 8.207
Problem 201 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 14 14 98 89 119 1 97 119 10
normalized size 1 1. 7. 6.36 8.5 0.07 6.93 8.5 0.71
time (sec) N/A 0.014 0.004 0.003 0.793 0.226 0.188 0.259 6.15
Problem 202 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 18 18 115 2205 618 1 484 659 14
normalized size 1 1. 6.39 122.5 34.33 0.06 26.89 36.61 0.78
time (sec) N/A 0.033 0.024 0.003 0.802 0.242 0.398 0.261 4.597
Problem 203 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 17 17 98 89 119 1 97 119 10
normalized size 1 1. 5.76 5.24 7. 0.06 5.71 7. 0.59
time (sec) N/A 0.018 0.004 0.002 0.791 0.23 0.182 0.261 6.208
Problem 204 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 18 18 98 89 119 1 97 119 10
normalized size 1 1. 5.44 4.94 6.61 0.06 5.39 6.61 0.56
time (sec) N/A 0.02 0.004 0.002 0.792 0.24 0.183 0.258 6.175
Problem 205 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 14 14 98 89 119 1 97 119 10
normalized size 1 1. 7. 6.36 8.5 0.07 6.93 8.5 0.71
time (sec) N/A 0.013 0.004 0.002 0.818 0.233 0.157 0.258 4.277
Problem 206 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 28 28 80 67 89 89 70 89 22
normalized size 1 1. 2.86 2.39 3.18 3.18 2.5 3.18 0.79
time (sec) N/A 0.026 0.008 0.001 0.816 0.256 0.16 0.259 2.463
Problem 207 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 31 108 325 252 252 194 281 26
normalized size 1 1. 3.48 10.48 8.13 8.13 6.26 9.06 0.84
time (sec) N/A 0.037 0.057 0.001 0.822 0.255 0.238 0.26 2.982
Problem 208 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 34 34 34 31 70 65 0 41 26
normalized size 1 1. 1. 0.91 2.06 1.91 0. 1.21 0.76
time (sec) N/A 0.019 0.03 0.002 0.991 0.291 0. 0.261 2.348
Problem 209 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 35 35 73 33 73 70 0 115 29
normalized size 1 1. 2.09 0.94 2.09 2. 0. 3.29 0.83
time (sec) N/A 0.02 0.066 0.003 0.968 0.273 0. 0.27 2.385
Problem 210 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 30 30 93 78 104 104 87 104 22
normalized size 1 1. 3.1 2.6 3.47 3.47 2.9 3.47 0.73
time (sec) N/A 0.03 0.009 0.005 0.804 0.257 0.174 0.259 4.072
Problem 211 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 31 140 618 378 378 314 393 26
normalized size 1 1. 4.52 19.94 12.19 12.19 10.13 12.68 0.84
time (sec) N/A 0.049 0.075 0.004 0.814 0.268 0.309 0.259 6.824
Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 98 81 108 108 90 108 29
normalized size 1 1. 2.88 2.38 3.18 3.18 2.65 3.18 0.85
time (sec) N/A 0.031 0.012 0.003 0.791 0.248 0.18 0.261 4.682
Problem 213 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 41 41 146 646 390 390 321 402 32
normalized size 1 1. 3.56 15.76 9.51 9.51 7.83 9.8 0.78
time (sec) N/A 0.052 0.087 0.003 0.809 0.248 0.328 0.262 6.777
Problem 214 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 46 46 244 1523 390 390 323 417 36
normalized size 1 1. 5.3 33.11 8.48 8.48 7.02 9.07 0.78
time (sec) N/A 0.05 0.136 0.004 0.81 0.251 0.347 0.261 9.874
Problem 215 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 47 47 248 4284 1044 1044 930 1253 39
normalized size 1 1. 5.28 91.15 22.21 22.21 19.79 26.66 0.83
time (sec) N/A 0.101 0.221 0.004 0.818 0.256 0.676 0.265 21.764
Problem 216 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 34 34 36 31 73 65 0 41 26
normalized size 1 1. 1.06 0.91 2.15 1.91 0. 1.21 0.76
time (sec) N/A 0.02 0.034 0.003 0.999 0.29 0. 0.259 2.505
Problem 217 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 44 44 42 37 96 77 0 49 32
normalized size 1 1. 0.95 0.84 2.18 1.75 0. 1.11 0.73
time (sec) N/A 0.021 0.037 0.004 0.993 0.28 0. 0.26 3.324
Problem 218 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 50 50 49 43 112 97 0 57 39
normalized size 1 1. 0.98 0.86 2.24 1.94 0. 1.14 0.78
time (sec) N/A 0.021 0.058 0.003 1.018 0.275 0. 0.26 3.157
Problem 219 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 33 30 23 1 29 39 0
normalized size 1 1. 1.74 1.58 1.21 0.05 1.53 2.05 0.
time (sec) N/A 0.012 0.002 0.001 0.785 0.231 0.073 0.26 0.
Problem 220 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 16 16 21 18 19 1 17 23 0
normalized size 1 1. 1.31 1.12 1.19 0.06 1.06 1.44 0.
time (sec) N/A 0.01 0.002 0.001 0.841 0.237 0.064 0.258 0.
Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A B B B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 96 96 87 116 1 94 116 94
normalized size 1 2.91 2.91 2.64 3.52 0.03 2.85 3.52 2.85
time (sec) N/A 0.318 0.009 0.002 0.831 0.233 0.133 0.257 27.512
Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A B B B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 96 96 87 116 1 94 116 94
normalized size 1 2.91 2.91 2.64 3.52 0.03 2.85 3.52 2.85
time (sec) N/A 0.266 0.008 0.002 0.897 0.231 0.158 0.259 27.909
Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 13 16 77 56 16 12
normalized size 1 1. 1. 0.93 1.14 5.5 4. 1.14 0.86
time (sec) N/A 0.009 0.008 0.002 0.811 0.245 0.667 0.26 2.939
Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 14 18 18 12 19 12
normalized size 1 1. 1. 0.93 1.2 1.2 0.8 1.27 0.8
time (sec) N/A 0.01 0.007 0.002 0.849 0.251 0.158 0.261 3.952
Problem 225 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 20 14 20 20 14 24 12
normalized size 1 1. 1.18 0.82 1.18 1.18 0.82 1.41 0.71
time (sec) N/A 0.01 0.009 0.002 0.823 0.247 0.202 0.263 14.967
Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 23 28 31 31 19 32 34
normalized size 1 1. 0.57 0.7 0.78 0.78 0.48 0.8 0.85
time (sec) N/A 0.143 0.101 0.014 0.842 0.254 111.918 0.263 64.648
Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F F(-1) F(-1) F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 605 605 98 2105 0 0 0 0 0
normalized size 1 1. 0.16 3.48 0. 0. 0. 0. 0.
time (sec) N/A 10.699 0.118 0.071 0. 0. 0. 0. 0.
Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 55 82 0 112 58 78 53
normalized size 1 1. 0.87 1.3 0. 1.78 0.92 1.24 0.84
time (sec) N/A 0.132 0.04 0.036 0. 0.264 0.255 0.275 37.282
Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 14 13 30 51 20 18 12
normalized size 1 1. 1. 0.93 2.14 3.64 1.43 1.29 0.86
time (sec) N/A 0.061 0.011 0.009 0.837 0.266 0.195 0.259 34.368
Problem 230 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 24 27 43 62 29 31 0
normalized size 1 1. 0.86 0.96 1.54 2.21 1.04 1.11 0.
time (sec) N/A 0.051 0.02 0.01 0.831 0.265 0.232 0.26 0.
Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 59 59 28 30 51 51 34 38 53
normalized size 1 1. 0.47 0.51 0.86 0.86 0.58 0.64 0.9
time (sec) N/A 0.131 0.019 0.01 0.855 0.258 0.548 0.263 35.486
Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 11 41 15 15 8 15 8
normalized size 1 1. 1. 3.73 1.36 1.36 0.73 1.36 0.73
time (sec) N/A 0.008 0.011 0.013 0.857 0.259 0.332 0.259 6.795
Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A B A A A A A A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 91 205 132 116 162 324 272 181 0
normalized size 1 2.25 1.45 1.27 1.78 3.56 2.99 1.99 0.
time (sec) N/A 0.345 0.153 0.026 0.894 0.275 3.891 0.266 0.
Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 23 26 59 54 0 155 0
normalized size 1 1. 0.92 1.04 2.36 2.16 0. 6.2 0.
time (sec) N/A 0.03 0.138 0.011 0.994 0.506 0. 0.415 0.
Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 21 24 53 53 0 131 0
normalized size 1 1. 0.91 1.04 2.3 2.3 0. 5.7 0.
time (sec) N/A 0.023 0.064 0.011 0.939 0.294 0. 0.469 0.
Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 21 24 53 53 0 131 0
normalized size 1 1. 0.91 1.04 2.3 2.3 0. 5.7 0.
time (sec) N/A 0.021 0.059 0.009 0.901 0.291 0. 0.328 0.
Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 19 22 50 50 0 128 0
normalized size 1 1. 0.9 1.05 2.38 2.38 0. 6.1 0.
time (sec) N/A 0.016 0.053 0.009 0.891 0.291 0. 0.321 0.
Problem 238 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 19 19 17 20 45 45 0 0 17
normalized size 1 1. 0.89 1.05 2.37 2.37 0. 0. 0.89
time (sec) N/A 0.022 0.04 0.007 0.923 0.29 0. 0. 17.551
Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 21 24 49 49 0 0 0
normalized size 1 1. 0.91 1.04 2.13 2.13 0. 0. 0.
time (sec) N/A 0.021 0.072 0.009 0.901 0.32 0. 0. 0.
Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 21 24 49 49 0 0 0
normalized size 1 1. 0.91 1.04 2.13 2.13 0. 0. 0.
time (sec) N/A 0.021 0.078 0.008 0.907 0.357 0. 0. 0.
Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A F(-1) F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 21 24 49 49 0 0 0
normalized size 1 1. 0.91 1.04 2.13 2.13 0. 0. 0.
time (sec) N/A 0.021 0.096 0.009 0.942 0.353 0. 0. 0.
Problem 242 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 97 97 83 74 99 122 97 99 0
normalized size 1 1. 0.86 0.76 1.02 1.26 1. 1.02 0.
time (sec) N/A 0.265 0.057 0.012 0.904 0.274 0.723 0.264 0.
Problem 243 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 90 90 78 69 92 115 92 92 0
normalized size 1 1. 0.87 0.77 1.02 1.28 1.02 1.02 0.
time (sec) N/A 0.236 0.041 0.009 0.914 0.274 0.684 0.262 0.
Problem 244 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 77 77 72 62 82 105 78 82 0
normalized size 1 1. 0.94 0.81 1.06 1.36 1.01 1.06 0.
time (sec) N/A 0.237 0.049 0.008 0.915 0.276 0.807 0.261 0.
Problem 245 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 72 72 69 57 76 96 75 76 0
normalized size 1 1. 0.96 0.79 1.06 1.33 1.04 1.06 0.
time (sec) N/A 0.187 0.037 0.005 0.914 0.272 0.731 0.263 0.
Problem 246 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 71 71 65 56 74 89 75 74 0
normalized size 1 1. 0.92 0.79 1.04 1.25 1.06 1.04 0.
time (sec) N/A 0.166 0.028 0.006 0.896 0.276 0.663 0.263 0.
Problem 247 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 75 75 69 60 80 99 78 81 0
normalized size 1 1. 0.92 0.8 1.07 1.32 1.04 1.08 0.
time (sec) N/A 0.292 0.032 0.01 0.919 0.274 0.901 0.263 0.
Problem 248 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 84 84 78 65 86 116 87 88 0
normalized size 1 1. 0.93 0.77 1.02 1.38 1.04 1.05 0.
time (sec) N/A 0.32 0.057 0.012 0.893 0.276 0.943 0.262 0.
Problem 249 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 91 91 82 70 93 136 94 95 0
normalized size 1 1. 0.9 0.77 1.02 1.49 1.03 1.04 0.
time (sec) N/A 0.331 0.102 0.012 0.918 0.276 1.016 0.264 0.
Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 307 307 109 74 0 0 61 0 0
normalized size 1 1. 0.36 0.24 0. 0. 0.2 0. 0.
time (sec) N/A 1.303 0.033 0.01 0. 0. 3.407 0. 0.
Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 269 269 101 67 0 0 53 0 0
normalized size 1 1. 0.38 0.25 0. 0. 0.2 0. 0.
time (sec) N/A 1.046 0.027 0.009 0. 0. 2.979 0. 0.
Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 230 230 94 62 0 0 48 0 0
normalized size 1 1. 0.41 0.27 0. 0. 0.21 0. 0.
time (sec) N/A 0.95 0.025 0.009 0. 0. 2.838 0. 0.
Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 198 198 90 58 0 0 46 0 216
normalized size 1 1. 0.45 0.29 0. 0. 0.23 0. 1.09
time (sec) N/A 0.56 0.022 0.007 0. 0. 2.851 0. 84.751
Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 245 245 101 67 0 0 60 0 253
normalized size 1 1. 0.41 0.27 0. 0. 0.24 0. 1.03
time (sec) N/A 1.194 0.028 0.012 0. 0. 30.542 0. 115.025
Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 281 281 109 72 0 0 65 0 284
normalized size 1 1. 0.39 0.26 0. 0. 0.23 0. 1.01
time (sec) N/A 1.303 0.029 0.012 0. 0. 9.647 0. 133.822
Problem 256 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 317 317 116 77 0 0 70 0 318
normalized size 1 1. 0.37 0.24 0. 0. 0.22 0. 1.
time (sec) N/A 1.467 0.03 0.015 0. 0. 6.68 0. 137.984
Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 87 75 0 112 44 0 14
normalized size 1 1. 4.58 3.95 0. 5.89 2.32 0. 0.74
time (sec) N/A 0.175 0.072 0.428 0. 0.264 4.119 0. 53.019
Problem 258 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 43 43 57 34 45 63 36 46 0
normalized size 1 1. 1.33 0.79 1.05 1.47 0.84 1.07 0.
time (sec) N/A 0.115 0.037 0.013 0.903 0.275 0.421 0.262 0.
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 17 17 17 16 20 20 14 24 14
normalized size 1 1. 1. 0.94 1.18 1.18 0.82 1.41 0.82
time (sec) N/A 0.053 0.009 0.011 0.997 0.258 0.271 0.263 9.158
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 25 25 25 22 28 28 20 32 20
normalized size 1 1. 1. 0.88 1.12 1.12 0.8 1.28 0.8
time (sec) N/A 0.052 0.009 0.01 0.824 0.259 0.277 0.26 12.61
Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 19 24 32 14 38 14
normalized size 1 1. 0.91 0.86 1.09 1.45 0.64 1.73 0.64
time (sec) N/A 0.042 0.013 0.011 0.944 0.245 0.225 0.26 4.404
Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 38 22 28 28 26 30 26
normalized size 1 1. 1.41 0.81 1.04 1.04 0.96 1.11 0.96
time (sec) N/A 0.074 0.017 0.008 0.982 0.257 0.313 0.265 8.094
Problem 263 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 21 21 21 18 23 23 15 23 0
normalized size 1 1. 1. 0.86 1.1 1.1 0.71 1.1 0.
time (sec) N/A 0.025 0.007 0.004 0.898 0.257 0.136 0.26 0.
Problem 264 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 24 31 31 22 31 22
normalized size 1 1. 1. 0.89 1.15 1.15 0.81 1.15 0.81
time (sec) N/A 0.049 0.012 0.006 0.865 0.273 0.203 0.26 36.65
Problem 265 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 39 39 39 26 34 34 26 39 0
normalized size 1 1. 1. 0.67 0.87 0.87 0.67 1. 0.
time (sec) N/A 0.045 0.01 0.012 0.8 0.263 0.655 0.266 0.
Problem 266 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 23 19 24 24 17 26 0
normalized size 1 1. 1.05 0.86 1.09 1.09 0.77 1.18 0.
time (sec) N/A 0.032 0.006 0.003 0.814 0.262 0.114 0.259 0.
Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 14 18 18 14 18 0
normalized size 1 1. 1. 0.93 1.2 1.2 0.93 1.2 0.
time (sec) N/A 0.04 0.007 0.004 0.905 0.253 0.17 0.258 0.
Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 24 21 27 35 17 30 7
normalized size 1 1. 2. 1.75 2.25 2.92 1.42 2.5 0.58
time (sec) N/A 0.04 0.016 0.011 0.79 0.248 0.187 0.265 15.438
Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 22 28 30 19 31 0
normalized size 1 1. 1. 0.88 1.12 1.2 0.76 1.24 0.
time (sec) N/A 0.044 0.01 0.011 0.825 0.252 0.201 0.261 0.
Problem 270 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 12 15 15 10 15 10
normalized size 1 1. 1. 0.92 1.15 1.15 0.77 1.15 0.77
time (sec) N/A 0.041 0.011 0.007 0.865 0.248 0.243 0.261 17.337
Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 35 31 47 84 36 41 46
normalized size 1 1. 1. 0.89 1.34 2.4 1.03 1.17 1.31
time (sec) N/A 0.057 0.026 0.008 0.886 0.249 0.364 0.262 23.983
Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 23 18 23 23 17 27 17
normalized size 1 1. 1. 0.78 1. 1. 0.74 1.17 0.74
time (sec) N/A 0.055 0.009 0.011 0.806 0.254 0.302 0.262 11.425
Problem 273 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 23 20 26 26 19 27 19
normalized size 1 1. 1. 0.87 1.13 1.13 0.83 1.17 0.83
time (sec) N/A 0.064 0.013 0.007 0.801 0.248 0.212 0.261 30.173
Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 25 24 31 43 20 31 20
normalized size 1 1. 0.86 0.83 1.07 1.48 0.69 1.07 0.69
time (sec) N/A 0.033 0.015 0.007 0.899 0.245 0.264 0.261 7.915
Problem 275 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 44 42 55 93 49 58 46
normalized size 1 1. 1. 0.95 1.25 2.11 1.11 1.32 1.05
time (sec) N/A 0.422 0.038 0.013 0.889 0.254 0.606 0.263 148.204
Problem 276 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 46 41 51 62 51 51 48
normalized size 1 1. 1. 0.89 1.11 1.35 1.11 1.11 1.04
time (sec) N/A 0.257 0.035 0.009 0.876 0.261 0.588 0.261 47.228
Problem 277 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 33 33 33 34 59 97 39 59 0
normalized size 1 1. 1. 1.03 1.79 2.94 1.18 1.79 0.
time (sec) N/A 0.303 0.032 0.015 0.794 0.265 0.515 0.263 0.
Problem 278 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 12 15 15 10 15 10
normalized size 1 1. 1. 0.71 0.88 0.88 0.59 0.88 0.59
time (sec) N/A 0.023 0.01 0.01 0.898 0.263 0.401 0.262 5.121
Problem 279 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 22 21 27 27 34 27 0
normalized size 1 1. 0.92 0.88 1.12 1.12 1.42 1.12 0.
time (sec) N/A 0.042 0.015 0.003 0.879 0.258 1.295 0.26 0.
Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 23 18 23 23 17 27 10
normalized size 1 1. 1.53 1.2 1.53 1.53 1.13 1.8 0.67
time (sec) N/A 0.085 0.009 0.012 0.88 0.276 0.291 0.262 34.099
Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 20 18 23 23 19 23 19
normalized size 1 1. 1. 0.9 1.15 1.15 0.95 1.15 0.95
time (sec) N/A 0.041 0.015 0.009 0.889 0.261 0.405 0.262 8.126
Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 33 28 36 59 29 81 29
normalized size 1 1. 0.89 0.76 0.97 1.59 0.78 2.19 0.78
time (sec) N/A 0.078 0.039 0.011 0.888 0.256 0.382 0.263 34.322
Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 26 26 26 22 28 35 26 28 26
normalized size 1 1. 1. 0.85 1.08 1.35 1. 1.08 1.
time (sec) N/A 0.031 0.015 0.003 0.892 0.263 0.171 0.259 7.057
Problem 284 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 11 14 22 10 15 10
normalized size 1 1. 1. 0.92 1.17 1.83 0.83 1.25 0.83
time (sec) N/A 0.036 0.007 0.007 0.787 0.246 0.19 0.262 8.435
Problem 285 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 21 21 21 18 23 23 15 27 0
normalized size 1 1. 1. 0.86 1.1 1.1 0.71 1.29 0.
time (sec) N/A 0.055 0.011 0.011 0.796 0.25 0.285 0.262 0.
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 22 22 22 21 27 46 17 27 17
normalized size 1 1. 1. 0.95 1.23 2.09 0.77 1.23 0.77
time (sec) N/A 0.033 0.014 0.007 0.873 0.249 0.235 0.261 9.507
Problem 287 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 24 21 27 43 19 27 20
normalized size 1 1. 1. 0.88 1.12 1.79 0.79 1.12 0.83
time (sec) N/A 0.035 0.017 0.007 0.881 0.247 0.241 0.261 12.894
Problem 288 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 36 36 36 34 45 59 39 45 39
normalized size 1 1. 1. 0.94 1.25 1.64 1.08 1.25 1.08
time (sec) N/A 0.085 0.025 0.005 0.867 0.252 0.515 0.261 17.354
Problem 289 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 37 28 36 36 29 36 29
normalized size 1 1. 1. 0.76 0.97 0.97 0.78 0.97 0.78
time (sec) N/A 0.08 0.012 0.005 0.894 0.252 0.481 0.262 17.107
Problem 290 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 29 22 28 28 22 31 0
normalized size 1 1. 1. 0.76 0.97 0.97 0.76 1.07 0.
time (sec) N/A 0.039 0.009 0.009 0.803 0.25 0.214 0.265 0.
Problem 291 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 19 16 20 20 14 22 0
normalized size 1 1. 1. 0.84 1.05 1.05 0.74 1.16 0.
time (sec) N/A 0.036 0.006 0.003 0.801 0.245 0.13 0.261 0.
Problem 292 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 41 35 46 57 46 46 42
normalized size 1 1. 1. 0.85 1.12 1.39 1.12 1.12 1.02
time (sec) N/A 0.063 0.025 0.004 0.881 0.249 0.231 0.262 22.93
Problem 293 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 41 41 39 32 42 42 34 42 0
normalized size 1 1. 0.95 0.78 1.02 1.02 0.83 1.02 0.
time (sec) N/A 0.058 0.011 0.006 0.874 0.255 0.237 0.261 0.
Problem 294 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 30 30 24 21 27 27 24 31 0
normalized size 1 1. 0.8 0.7 0.9 0.9 0.8 1.03 0.
time (sec) N/A 0.102 0.018 0.011 0.801 0.253 0.328 0.262 0.
Problem 295 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 35 35 35 28 36 36 31 41 0
normalized size 1 1. 1. 0.8 1.03 1.03 0.89 1.17 0.
time (sec) N/A 0.074 0.013 0.013 0.797 0.255 0.324 0.262 0.
Problem 296 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 34 34 32 25 32 46 27 46 0
normalized size 1 1. 0.94 0.74 0.94 1.35 0.79 1.35 0.
time (sec) N/A 0.089 0.025 0.013 0.804 0.254 0.336 0.262 0.
Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 42 42 42 35 45 68 36 45 39
normalized size 1 1. 1. 0.83 1.07 1.62 0.86 1.07 0.93
time (sec) N/A 0.045 0.031 0.007 0.871 0.253 0.292 0.263 8.942
Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 49 38 50 50 46 50 46
normalized size 1 1. 1. 0.78 1.02 1.02 0.94 1.02 0.94
time (sec) N/A 0.29 0.023 0.009 0.887 0.255 0.627 0.262 82.318
Problem 299 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 29 29 29 20 26 26 24 30 0
normalized size 1 1. 1. 0.69 0.9 0.9 0.83 1.03 0.
time (sec) N/A 0.094 0.012 0.011 0.815 0.257 0.309 0.258 0.
Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 43 34 45 45 41 46 0
normalized size 1 1. 0.93 0.74 0.98 0.98 0.89 1. 0.
time (sec) N/A 0.083 0.026 0.008 0.89 0.255 0.315 0.262 0.
Problem 301 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 16 16 14 15 19 23 10 20 0
normalized size 1 1. 0.88 0.94 1.19 1.44 0.62 1.25 0.
time (sec) N/A 0.05 0.012 0.008 0.787 0.252 0.186 0.263 0.
Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 14 16 23 23 15 16 17
normalized size 1 1. 0.67 0.76 1.1 1.1 0.71 0.76 0.81
time (sec) N/A 0.04 0.004 0.007 0.807 0.239 0.166 0.259 13.196
Problem 303 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 16 31 31 19 41 0
normalized size 1 1. 1. 1.07 2.07 2.07 1.27 2.73 0.
time (sec) N/A 0.037 0.019 0.008 0.797 0.242 0.274 0.263 0.
Problem 304 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 31 31 31 29 38 51 3 39 0
normalized size 1 1. 1. 0.94 1.23 1.65 0.1 1.26 0.
time (sec) N/A 0.089 0.022 0.008 0.883 0.259 0.27 0.262 0.
Problem 305 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 20 26 26 19 30 19
normalized size 1 1. 1. 0.8 1.04 1.04 0.76 1.2 0.76
time (sec) N/A 0.062 0.01 0.01 0.815 0.275 0.297 0.26 13.789
Problem 306 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 30 30 29 25 32 49 20 35 0
normalized size 1 1. 0.97 0.83 1.07 1.63 0.67 1.17 0.
time (sec) N/A 0.061 0.026 0.01 0.798 0.253 0.194 0.26 0.
Problem 307 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 23 18 23 23 17 24 17
normalized size 1 1. 1. 0.78 1. 1. 0.74 1.04 0.74
time (sec) N/A 0.059 0.009 0.007 0.871 0.256 0.303 0.262 8.875
Problem 308 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 103 103 93 73 104 211 88 100 0
normalized size 1 1. 0.9 0.71 1.01 2.05 0.85 0.97 0.
time (sec) N/A 0.942 0.072 0.017 0.887 0.264 1.663 0.264 0.
Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 30 28 34 49 24 34 27
normalized size 1 1. 0.91 0.85 1.03 1.48 0.73 1.03 0.82
time (sec) N/A 0.037 0.018 0.007 0.884 0.256 0.281 0.261 11.737
Problem 310 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 39 59 27 41 29
normalized size 1 1. 1. 0.85 1.18 1.79 0.82 1.24 0.88
time (sec) N/A 0.083 0.037 0.011 0.885 0.254 0.359 0.261 16.797
Problem 311 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 31 26 17 35 0
normalized size 1 1. 1. 0.96 1.24 1.04 0.68 1.4 0.
time (sec) N/A 0.054 0.009 0.01 0.801 0.252 0.178 0.26 0.
Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 32 42 42 36 42 36
normalized size 1 1. 1. 0.89 1.17 1.17 1. 1.17 1.
time (sec) N/A 0.217 0.026 0.005 0.897 0.253 0.547 0.265 35.115
Problem 313 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 29 22 28 45 22 28 22
normalized size 1 1. 1. 0.76 0.97 1.55 0.76 0.97 0.76
time (sec) N/A 0.193 0.027 0.013 0.884 0.252 0.51 0.261 30.839
Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 46 36 47 66 46 49 42
normalized size 1 1. 1. 0.78 1.02 1.43 1. 1.07 0.91
time (sec) N/A 0.1 0.046 0.01 0.903 0.255 0.379 0.262 21.526
Problem 315 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 26 26 19 24 24 17 27 0
normalized size 1 1.18 1.18 0.86 1.09 1.09 0.77 1.23 0.
time (sec) N/A 0.03 0.008 0.008 0.792 0.251 0.173 0.261 0.
Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 16 20 20 15 24 15
normalized size 1 1. 1. 0.94 1.18 1.18 0.88 1.41 0.88
time (sec) N/A 0.056 0.01 0.01 0.799 0.252 0.287 0.259 13.59
Problem 317 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 15 19 24 14 22 14
normalized size 1 1. 1. 1.07 1.36 1.71 1. 1.57 1.
time (sec) N/A 0.048 0.006 0.01 0.792 0.247 0.237 0.26 7.065
Problem 318 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 19 19 25 18 23 23 17 27 0
normalized size 1 1. 1.32 0.95 1.21 1.21 0.89 1.42 0.
time (sec) N/A 0.054 0.011 0.011 0.789 0.255 0.274 0.262 0.
Problem 319 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 23 18 23 23 19 23 19
normalized size 1 1. 1. 0.78 1. 1. 0.83 1. 0.83
time (sec) N/A 0.056 0.014 0.006 0.892 0.255 0.494 0.262 22.507
Problem 320 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 63 63 57 51 68 86 68 72 0
normalized size 1 1. 0.9 0.81 1.08 1.37 1.08 1.14 0.
time (sec) N/A 0.167 0.041 0.016 0.893 0.26 1.085 0.262 0.
Problem 321 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 69 86 67 54 80 155 63 80 0
normalized size 1 1.25 0.97 0.78 1.16 2.25 0.91 1.16 0.
time (sec) N/A 0.199 0.075 0.02 0.875 0.266 0.566 0.262 0.
Problem 322 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 14 18 26 12 18 12
normalized size 1 1. 1. 0.82 1.06 1.53 0.71 1.06 0.71
time (sec) N/A 0.042 0.009 0.009 0.884 0.253 0.209 0.26 6.983
Problem 323 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 19 18 23 23 15 23 15
normalized size 1 1. 1. 0.95 1.21 1.21 0.79 1.21 0.79
time (sec) N/A 0.042 0.008 0.003 0.923 0.246 0.184 0.26 9.739
Problem 324 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 9 9 9 8 9 9 7 38 7
normalized size 1 1. 1. 0.89 1. 1. 0.78 4.22 0.78
time (sec) N/A 0.104 0.01 0.006 0.901 0.256 0.37 0.264 34.798
Problem 325 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 13 16 16 12 16 12
normalized size 1 1. 1. 1.08 1.33 1.33 1. 1.33 1.
time (sec) N/A 0.024 0.009 0.003 0.81 0.247 0.148 0.264 21.666
Problem 326 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 65 65 58 41 69 104 99 74 75
normalized size 1 1. 0.89 0.63 1.06 1.6 1.52 1.14 1.15
time (sec) N/A 0.123 0.059 0.01 0.892 0.256 2.003 0.26 24.109
Problem 327 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 28 28 28 29 38 62 24 38 32
normalized size 1 1. 1. 1.04 1.36 2.21 0.86 1.36 1.14
time (sec) N/A 0.046 0.016 0.009 0.9 0.253 0.301 0.26 18.268
Problem 328 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 32 27 35 35 29 35 29
normalized size 1 1. 1. 0.84 1.09 1.09 0.91 1.09 0.91
time (sec) N/A 0.063 0.037 0.004 0.902 0.283 0.18 0.259 5.004
Problem 329 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 41 39 24 31 31 26 36 32
normalized size 1 1.32 1.26 0.77 1. 1. 0.84 1.16 1.03
time (sec) N/A 0.088 0.011 0.013 0.817 0.258 0.543 0.261 21.913
Problem 330 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 24 23 30 35 19 31 19
normalized size 1 1. 1. 0.96 1.25 1.46 0.79 1.29 0.79
time (sec) N/A 0.315 0.014 0.01 0.893 0.275 0.355 0.261 85.723
Problem 331 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 23 19 32 47 20 26 22
normalized size 1 1. 1. 0.83 1.39 2.04 0.87 1.13 0.96
time (sec) N/A 0.041 0.019 0.007 0.894 0.253 0.322 0.261 15.598
Problem 332 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 23 23 23 19 32 47 20 26 0
normalized size 1 1. 1. 0.83 1.39 2.04 0.87 1.13 0.
time (sec) N/A 0.072 0.009 0.004 0.903 0.246 0.306 0.258 0.
Problem 333 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 18 20 10 18 10
normalized size 1 1. 1. 1.08 1.38 1.54 0.77 1.38 0.77
time (sec) N/A 0.055 0.01 0.006 0.798 0.247 0.209 0.258 22.148
Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 206 206 193 236 0 0 138 302 0
normalized size 1 1. 0.94 1.15 0. 0. 0.67 1.47 0.
time (sec) N/A 0.56 0.186 0.009 0. 0. 4.954 0.267 0.
Problem 335 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 45 41 51 72 44 51 41
normalized size 1 1. 1. 0.91 1.13 1.6 0.98 1.13 0.91
time (sec) N/A 0.111 0.042 0.013 0.924 0.267 0.398 0.262 23.412
Problem 336 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 59 59 44 41 70 101 46 57 48
normalized size 1 1. 0.75 0.69 1.19 1.71 0.78 0.97 0.81
time (sec) N/A 0.111 0.035 0.019 0.879 0.261 0.559 0.259 16.458
Problem 337 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 209 209 234 616 0 0 0 1 221
normalized size 1 1. 1.12 2.95 0. 0. 0. 0. 1.06
time (sec) N/A 0.87 0.425 0.073 0. 0. 0. 1.025 60.401
Problem 338 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 224 224 245 633 0 0 0 1 235
normalized size 1 1. 1.09 2.83 0. 0. 0. 0. 1.05
time (sec) N/A 0.668 0.454 0.039 0. 0. 0. 1.041 61.612
Problem 339 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 56 56 56 57 81 88 190 0 0
normalized size 1 1. 1. 1.02 1.45 1.57 3.39 0. 0.
time (sec) N/A 0.11 0.043 0.009 0.818 0.296 4.043 0. 0.
Problem 340 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 96 96 73 87 0 1 1355 115 82
normalized size 1 1. 0.76 0.91 0. 0.01 14.11 1.2 0.85
time (sec) N/A 0.203 0.056 0.009 0. 0.292 22.451 0.264 23.694
Problem 341 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 264 264 228 336 0 0 0 432 231
normalized size 1 1. 0.86 1.27 0. 0. 0. 1.64 0.88
time (sec) N/A 0.961 0.17 0.008 0. 0. 0. 0.271 113.591
Problem 342 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 417 417 370 422 0 0 0 575 381
normalized size 1 1. 0.89 1.01 0. 0. 0. 1.38 0.91
time (sec) N/A 1.177 0.486 0.019 0. 0. 0. 0.294 148.362
Problem 343 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 24 21 27 35 19 28 10
normalized size 1 1. 1.5 1.31 1.69 2.19 1.19 1.75 0.62
time (sec) N/A 0.029 0.014 0.01 0.831 0.243 0.224 0.259 4.714
Problem 344 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 27 24 31 46 20 41 12
normalized size 1 1. 1.42 1.26 1.63 2.42 1.05 2.16 0.63
time (sec) N/A 0.044 0.018 0.014 0.804 0.255 0.28 0.261 8.291
Problem 345 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 85 90 101 159 92 104 85
normalized size 1 1. 0.88 0.93 1.04 1.64 0.95 1.07 0.88
time (sec) N/A 0.184 0.083 0.019 0.906 0.261 1.158 0.264 25.717
Problem 346 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 14 18 18 12 18 12
normalized size 1 1. 1. 0.93 1.2 1.2 0.8 1.2 0.8
time (sec) N/A 0.19 0.012 0.006 0.902 0.263 0.264 0.264 32.741
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 13 13 13 12 15 15 10 15 10
normalized size 1 1. 1. 0.92 1.15 1.15 0.77 1.15 0.77
time (sec) N/A 0.167 0.01 0.005 0.89 0.255 0.274 0.261 28.978
Problem 348 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 29 25 32 32 29 32 29
normalized size 1 1. 1. 0.86 1.1 1.1 1. 1.1 1.
time (sec) N/A 0.217 0.025 0.006 0.884 0.256 0.526 0.261 40.59
Problem 349 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 15 19 23 10 19 10
normalized size 1 1. 1. 1.07 1.36 1.64 0.71 1.36 0.71
time (sec) N/A 0.03 0.013 0.007 0.884 0.248 0.304 0.259 9.025
Problem 350 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 11 14 16 7 15 7
normalized size 1 1. 1. 0.92 1.17 1.33 0.58 1.25 0.58
time (sec) N/A 0.034 0.005 0.008 0.813 0.25 0.175 0.261 4.454
Problem 351 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 11 10 12 12 8 14 8
normalized size 1 1. 1. 0.91 1.09 1.09 0.73 1.27 0.73
time (sec) N/A 0.048 0.007 0.007 0.877 0.29 0.391 0.263 7.836
Problem 352 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 11 14 18 8 15 8
normalized size 1 1. 1. 0.92 1.17 1.5 0.67 1.25 0.67
time (sec) N/A 0.043 0.006 0.007 0.813 0.25 0.169 0.262 7.
Problem 353 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 13 16 16 12 19 12
normalized size 1 1. 1. 1.08 1.33 1.33 1. 1.58 1.
time (sec) N/A 0.038 0.005 0.008 0.817 0.251 0.199 0.259 6.113
Problem 354 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 16 20 20 15 22 15
normalized size 1 1. 1. 0.94 1.18 1.18 0.88 1.29 0.88
time (sec) N/A 0.056 0.007 0.007 0.891 0.254 0.295 0.259 8.409
Problem 355 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 18 18 10 19 10
normalized size 1 1. 1. 1.08 1.38 1.38 0.77 1.46 0.77
time (sec) N/A 0.057 0.013 0.008 0.902 0.255 0.366 0.263 8.377
Problem 356 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 22 21 27 35 20 30 20
normalized size 1 1. 0.79 0.75 0.96 1.25 0.71 1.07 0.71
time (sec) N/A 0.036 0.021 0.011 0.802 0.253 0.236 0.26 6.785
Problem 357 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 32 27 35 50 26 58 26
normalized size 1 1. 1. 0.84 1.09 1.56 0.81 1.81 0.81
time (sec) N/A 0.064 0.025 0.011 0.812 0.249 0.317 0.262 8.42
Problem 358 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 20 26 26 19 27 19
normalized size 1 1. 1.22 0.87 1.13 1.13 0.83 1.17 0.83
time (sec) N/A 0.064 0.012 0.007 0.885 0.254 0.31 0.264 9.049
Problem 359 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 22 21 27 49 20 63 20
normalized size 1 1. 0.92 0.88 1.12 2.04 0.83 2.62 0.83
time (sec) N/A 0.061 0.022 0.009 0.907 0.259 0.336 0.263 9.071
Problem 360 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 49 40 53 50 44 53 46
normalized size 1 1. 1. 0.82 1.08 1.02 0.9 1.08 0.94
time (sec) N/A 0.258 0.023 0.01 0.883 0.277 0.635 0.26 54.723
Problem 361 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 19 20 26 26 19 30 19
normalized size 1 1. 0.76 0.8 1.04 1.04 0.76 1.2 0.76
time (sec) N/A 0.096 0.013 0.01 0.805 0.262 0.309 0.262 10.398
Problem 362 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 54 48 63 99 63 81 60
normalized size 1 1. 0.9 0.8 1.05 1.65 1.05 1.35 1.
time (sec) N/A 0.457 0.09 0.014 0.901 0.295 0.762 0.264 164.427
Problem 363 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 11 11 11 10 12 12 5 12 0
normalized size 1 1. 1. 0.91 1.09 1.09 0.45 1.09 0.
time (sec) N/A 0.012 0.001 0.001 0.832 0.247 0.072 0.26 0.
Problem 364 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 29 22 28 28 22 31 0
normalized size 1 1. 1. 0.76 0.97 0.97 0.76 1.07 0.
time (sec) N/A 0.036 0.009 0.008 0.825 0.253 0.213 0.261 0.
Problem 365 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 45 37 50 70 37 50 34
normalized size 1 1. 1. 0.82 1.11 1.56 0.82 1.11 0.76
time (sec) N/A 0.053 0.02 0.009 0.89 0.258 0.325 0.26 13.982
Problem 366 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 32 32 32 29 38 70 29 39 0
normalized size 1 1. 1. 0.91 1.19 2.19 0.91 1.22 0.
time (sec) N/A 0.464 0.029 0.013 0.898 0.327 0.784 0.264 0.
Problem 367 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 148 148 159 110 178 257 146 165 136
normalized size 1 1. 1.07 0.74 1.2 1.74 0.99 1.11 0.92
time (sec) N/A 0.272 0.102 0.017 0.875 0.296 1.795 0.273 40.943
Problem 368 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 112 112 101 79 134 0 61 124 0
normalized size 1 1. 0.9 0.71 1.2 0. 0.54 1.11 0.
time (sec) N/A 0.233 0.078 0.01 0.878 0. 3.129 0.262 0.
Problem 369 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 13 16 16 10 19 10
normalized size 1 1. 1. 0.93 1.14 1.14 0.71 1.36 0.71
time (sec) N/A 0.038 0.005 0.007 0.796 0.27 0.188 0.259 4.67
Problem 370 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 11 14 14 8 16 8
normalized size 1 1. 1. 0.92 1.17 1.17 0.67 1.33 0.67
time (sec) N/A 0.046 0.007 0.008 0.805 0.259 0.186 0.26 7.054
Problem 371 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 16 20 28 14 23 14
normalized size 1 1. 1. 0.94 1.18 1.65 0.82 1.35 0.82
time (sec) N/A 0.036 0.006 0.01 0.825 0.27 0.214 0.259 7.941
Problem 372 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 16 20 20 14 23 14
normalized size 1 1. 1. 0.94 1.18 1.18 0.82 1.35 0.82
time (sec) N/A 0.045 0.007 0.008 0.791 0.262 0.185 0.259 12.582
Problem 373 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 17 22 34 15 31 19
normalized size 1 1. 1. 0.94 1.22 1.89 0.83 1.72 1.06
time (sec) N/A 0.072 0.007 0.009 0.888 0.258 0.23 0.26 9.387
Problem 374 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 10 10 10 11 14 19 7 15 7
normalized size 1 1. 1. 1.1 1.4 1.9 0.7 1.5 0.7
time (sec) N/A 0.038 0.008 0.008 0.801 0.287 0.165 0.26 7.471
Problem 375 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 42 42 42 31 41 41 36 45 0
normalized size 1 1. 1. 0.74 0.98 0.98 0.86 1.07 0.
time (sec) N/A 0.061 0.01 0.011 0.816 0.256 0.339 0.26 0.
Problem 376 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 46 41 51 62 51 51 48
normalized size 1 1. 1. 0.89 1.11 1.35 1.11 1.11 1.04
time (sec) N/A 0.246 0.034 0.001 0.883 0.259 0.608 0.26 47.856
Problem 377 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 19 16 20 20 14 23 14
normalized size 1 1. 1. 0.84 1.05 1.05 0.74 1.21 0.74
time (sec) N/A 0.11 0.005 0.008 0.804 0.276 0.21 0.262 14.709
Problem 378 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 40 31 41 41 34 43 0
normalized size 1 1. 1. 0.78 1.02 1.02 0.85 1.08 0.
time (sec) N/A 0.062 0.009 0.009 0.8 0.267 0.262 0.261 0.
Problem 379 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 33 26 34 34 27 36 0
normalized size 1 1. 1. 0.79 1.03 1.03 0.82 1.09 0.
time (sec) N/A 0.058 0.007 0.008 0.83 0.267 0.241 0.262 0.
Problem 380 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 26 26 26 21 27 27 20 30 20
normalized size 1 1. 1. 0.81 1.04 1.04 0.77 1.15 0.77
time (sec) N/A 0.044 0.007 0.008 0.815 0.263 0.231 0.263 10.956
Problem 381 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 21 18 23 23 17 26 17
normalized size 1 1. 1. 0.86 1.1 1.1 0.81 1.24 0.81
time (sec) N/A 0.023 0.005 0.007 0.816 0.263 0.212 0.26 4.018
Problem 382 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 21 18 23 23 15 26 15
normalized size 1 1. 1. 0.86 1.1 1.1 0.71 1.24 0.71
time (sec) N/A 0.029 0.004 0.007 0.805 0.281 0.202 0.26 6.877
Problem 383 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 27 22 28 28 24 32 24
normalized size 1 1. 1. 0.81 1.04 1.04 0.89 1.19 0.89
time (sec) N/A 0.046 0.007 0.009 0.82 0.271 0.311 0.264 12.101
Problem 384 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 34 27 35 41 31 39 31
normalized size 1 1. 1. 0.79 1.03 1.21 0.91 1.15 0.91
time (sec) N/A 0.078 0.006 0.012 0.813 0.274 0.355 0.264 16.261
Problem 385 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 41 32 42 53 36 46 37
normalized size 1 1. 1. 0.78 1.02 1.29 0.88 1.12 0.9
time (sec) N/A 0.085 0.007 0.013 0.808 0.259 0.399 0.262 16.934
Problem 386 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 48 48 48 37 49 59 41 53 44
normalized size 1 1. 1. 0.77 1.02 1.23 0.85 1.1 0.92
time (sec) N/A 0.099 0.008 0.013 0.789 0.272 0.441 0.263 17.492
Problem 387 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 157 157 61 54 0 0 41 0 158
normalized size 1 1. 0.39 0.34 0. 0. 0.26 0. 1.01
time (sec) N/A 0.344 0.026 0.013 0. 0. 0.666 0. 38.692
Problem 388 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 157 157 61 56 0 0 41 0 163
normalized size 1 1. 0.39 0.36 0. 0. 0.26 0. 1.04
time (sec) N/A 0.267 0.025 0.013 0. 0. 0.666 0. 39.029
Problem 389 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 188 188 61 54 0 0 39 0 236
normalized size 1 1. 0.32 0.29 0. 0. 0.21 0. 1.26
time (sec) N/A 0.575 0.019 0.009 0. 0. 0.592 0. 83.554
Problem 390 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 188 188 61 56 0 0 39 0 236
normalized size 1 1. 0.32 0.3 0. 0. 0.21 0. 1.26
time (sec) N/A 0.379 0.019 0.009 0. 0. 0.601 0. 86.226
Problem 391 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 663 663 63 69 0 0 133 0 0
normalized size 1 1. 0.1 0.1 0. 0. 0.2 0. 0.
time (sec) N/A 3.075 0.053 0.095 0. 0. 11.21 0. 0.
Problem 392 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C C F F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 663 663 63 69 0 0 133 0 216
normalized size 1 1. 0.1 0.1 0. 0. 0.2 0. 0.33
time (sec) N/A 2.694 0.043 0.002 0. 0. 11.29 0. 117.049
Problem 393 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A F C C F F(-2) A F F(-1)
verified N/A N/A Yes TBD TBD TBD TBD TBD TBD
size 168 0 95 67 0 0 42 0 0
normalized size 1 0. 0.57 0.4 0. 0. 0.25 0. 0.
time (sec) N/A 0.676 0.096 0.235 0. 0. 6.133 0. 0.
Problem 394 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 320 320 322 314 0 0 384 420 306
normalized size 1 1. 1.01 0.98 0. 0. 1.2 1.31 0.96
time (sec) N/A 0.583 0.541 0.011 0. 0. 13.53 0.274 85.503
Problem 395 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 291 291 243 292 0 0 277 385 272
normalized size 1 1. 0.84 1. 0. 0. 0.95 1.32 0.93
time (sec) N/A 0.467 0.199 0.005 0. 0. 10.086 0.271 79.4
Problem 396 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 219 219 184 151 0 0 124 290 207
normalized size 1 1. 0.84 0.69 0. 0. 0.57 1.32 0.95
time (sec) N/A 0.36 0.101 0.005 0. 0. 2.915 0.269 60.161
Problem 397 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 185 185 134 128 0 142 20 242 172
normalized size 1 1. 0.72 0.69 0. 0.77 0.11 1.31 0.93
time (sec) N/A 0.226 0.033 0.002 0. 0.26 0.385 0.264 47.674
Problem 398 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 416 416 404 433 0 0 0 520 379
normalized size 1 1. 0.97 1.04 0. 0. 0. 1.25 0.91
time (sec) N/A 0.946 0.286 0.012 0. 0. 0. 0.292 133.876
Problem 399 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-1) F(-1) F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 552 552 524 866 0 0 0 0 0
normalized size 1 1. 0.95 1.57 0. 0. 0. 0. 0.
time (sec) N/A 1.822 1.377 0.016 0. 0. 0. 0. 0.
Problem 400 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A B F(-2) F(-1) F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 680 680 738 1201 0 0 0 1 0
normalized size 1 1. 1.09 1.77 0. 0. 0. 0. 0.
time (sec) N/A 2.133 1.967 0.019 0. 0. 0. 0.365 0.
Problem 401 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 349 349 347 390 0 0 350 462 333
normalized size 1 1. 0.99 1.12 0. 0. 1. 1.32 0.95
time (sec) N/A 0.713 0.726 0.008 0. 0. 22.832 0.27 145.379
Problem 402 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 322 322 321 362 0 0 318 436 299
normalized size 1 1. 1. 1.12 0. 0. 0.99 1.35 0.93
time (sec) N/A 0.58 0.654 0.007 0. 0. 13.061 0.271 98.979
Problem 403 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 241 241 224 188 0 0 155 325 231
normalized size 1 1. 0.93 0.78 0. 0. 0.64 1.35 0.96
time (sec) N/A 0.424 0.352 0.006 0. 0. 4.999 0.27 82.947
Problem 404 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 202 202 183 143 0 213 39 262 190
normalized size 1 1. 0.91 0.71 0. 1.05 0.19 1.3 0.94
time (sec) N/A 0.255 0.242 0.002 0. 0.282 2.018 0.262 55.095
Problem 405 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-1) F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 855 855 558 1126 0 0 0 1038 0
normalized size 1 1. 0.65 1.32 0. 0. 0. 1.21 0.
time (sec) N/A 1.992 0.722 0.038 0. 0. 0. 0.322 0.
Problem 406 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-1) F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 1141 1141 807 1644 0 0 0 1 0
normalized size 1 1. 0.71 1.44 0. 0. 0. 0. 0.
time (sec) N/A 3.953 1.733 0.032 0. 0. 0. 0.362 0.
Problem 407 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-1) F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 1384 1384 996 2133 0 0 0 1 0
normalized size 1 1. 0.72 1.54 0. 0. 0. 0. 0.
time (sec) N/A 4.67 2.436 0.037 0. 0. 0. 0.43 0.
Problem 408 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 394 394 388 470 0 0 413 525 386
normalized size 1 1. 0.98 1.19 0. 0. 1.05 1.33 0.98
time (sec) N/A 0.781 0.835 0.01 0. 0. 30.204 0.276 121.822
Problem 409 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 360 360 358 419 0 0 374 481 343
normalized size 1 1. 0.99 1.16 0. 0. 1.04 1.34 0.95
time (sec) N/A 0.697 0.601 0.007 0. 0. 16.814 0.274 119.628
Problem 410 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 266 266 249 222 0 0 192 351 257
normalized size 1 1. 0.94 0.83 0. 0. 0.72 1.32 0.97
time (sec) N/A 0.521 0.353 0.007 0. 0. 8.866 0.272 90.524
Problem 411 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 219 219 200 158 0 293 63 275 207
normalized size 1 1. 0.91 0.72 0. 1.34 0.29 1.26 0.95
time (sec) N/A 0.314 0.181 0.006 0. 0.301 5.048 0.267 59.989
Problem 412 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-1) F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 1352 1352 835 2106 0 0 0 1 0
normalized size 1 1. 0.62 1.56 0. 0. 0. 0. 0.
time (sec) N/A 3.21 1.522 0.035 0. 0. 0. 0.389 0.
Problem 413 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-1) F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 1830 1830 1115 2781 0 0 0 1 0
normalized size 1 1. 0.61 1.52 0. 0. 0. 0. 0.
time (sec) N/A 6.584 3.036 0.042 0. 0. 0. 0.41 0.
Problem 414 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) F(-1) F(-1) A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 2204 2204 1338 3352 0 0 0 1 0
normalized size 1 1. 0.61 1.52 0. 0. 0. 0. 0.
time (sec) N/A 7.568 5.713 0.048 0. 0. 0. 0.531 0.
Problem 415 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 33 29 38 43 34 38 31
normalized size 1 1. 1.03 0.91 1.19 1.34 1.06 1.19 0.97
time (sec) N/A 0.046 0.016 0.002 0.889 0.273 0.209 0.259 5.621
Problem 416 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 33 29 38 43 34 38 31
normalized size 1 1. 1.03 0.91 1.19 1.34 1.06 1.19 0.97
time (sec) N/A 0.045 0.008 0.002 0.882 0.269 0.226 0.261 6.696
Problem 417 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 31 29 35 42 36 35 32
normalized size 1 1. 0.97 0.91 1.09 1.31 1.12 1.09 1.
time (sec) N/A 0.041 0.015 0.007 0.874 0.275 0.22 0.261 5.835
Problem 418 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 31 29 35 42 36 35 32
normalized size 1 1. 0.97 0.91 1.09 1.31 1.12 1.09 1.
time (sec) N/A 0.044 0.007 0.002 0.911 0.27 0.235 0.262 7.997
Problem 419 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 42 29 51 65 39 59 46
normalized size 1 1. 0.93 0.64 1.13 1.44 0.87 1.31 1.02
time (sec) N/A 0.045 0.035 0.003 0.896 0.272 0.206 0.262 4.656
Problem 420 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 42 29 51 65 39 59 46
normalized size 1 1. 0.93 0.64 1.13 1.44 0.87 1.31 1.02
time (sec) N/A 0.033 0.008 0.003 0.918 0.276 0.228 0.26 6.59
Problem 421 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A B B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 6 6 23 18 23 23 15 20 5
normalized size 1 1. 3.83 3. 3.83 3.83 2.5 3.33 0.83
time (sec) N/A 0.008 0.005 0.008 0.79 0.267 0.16 0.258 2.062
Problem 422 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 23 18 23 23 15 26 15
normalized size 1 1. 1.1 0.86 1.1 1.1 0.71 1.24 0.71
time (sec) N/A 0.013 0.004 0.002 0.841 0.269 0.177 0.264 1.93
Problem 423 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 13 13 11 10 12 32 22 12 8
normalized size 1 1. 0.85 0.77 0.92 2.46 1.69 0.92 0.62
time (sec) N/A 0.008 0.004 0.001 0.783 0.263 0.321 0.259 1.921
Problem 424 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A B A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 13 81 11 58 77 32 22 77 63
normalized size 1 6.23 0.85 4.46 5.92 2.46 1.69 5.92 4.85
time (sec) N/A 0.031 0.002 0.004 0.797 0.266 0.834 0.259 5.528
Problem 425 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 69 69 78 67 89 109 85 92 71
normalized size 1 1. 1.13 0.97 1.29 1.58 1.23 1.33 1.03
time (sec) N/A 0.233 0.024 0.015 0.861 0.286 0.721 0.263 45.504
Problem 426 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 69 69 78 67 89 109 85 92 71
normalized size 1 1. 1.13 0.97 1.29 1.58 1.23 1.33 1.03
time (sec) N/A 0.243 0.008 0.003 0.861 0.285 0.736 0.261 47.45
Problem 427 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 31 21 27 27 20 28 0
normalized size 1 1. 1.29 0.88 1.12 1.12 0.83 1.17 0.
time (sec) N/A 0.041 0.009 0.004 0.796 0.273 0.124 0.261 0.
Problem 428 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 25 21 27 27 19 28 0
normalized size 1 1. 0.96 0.81 1.04 1.04 0.73 1.08 0.
time (sec) N/A 0.035 0.007 0.003 0.793 0.269 0.116 0.26 0.
Problem 429 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 22 16 20 1 15 20 0
normalized size 1 1. 1.29 0.94 1.18 0.06 0.88 1.18 0.
time (sec) N/A 0.019 0. 0.001 0.783 0.248 0.069 0.258 0.
Problem 430 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 22 20 27 1 15 27 0
normalized size 1 1. 0.92 0.83 1.12 0.04 0.62 1.12 0.
time (sec) N/A 0.017 0.002 0.001 0.791 0.249 0.075 0.257 0.
Problem 431 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 24 23 30 34 20 31 20
normalized size 1 1. 1.09 1.05 1.36 1.55 0.91 1.41 0.91
time (sec) N/A 0.055 0.008 0.01 0.859 0.281 0.281 0.261 7.06
Problem 432 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 27 16 20 20 15 24 15
normalized size 1 1. 1.59 0.94 1.18 1.18 0.88 1.41 0.88
time (sec) N/A 0.041 0.01 0.01 0.797 0.28 0.265 0.259 5.614
Problem 433 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 19 14 18 18 12 22 14
normalized size 1 1. 1. 0.74 0.95 0.95 0.63 1.16 0.74
time (sec) N/A 0.05 0.006 0.007 0.788 0.259 0.178 0.259 8.205
Problem 434 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 17 11 14 14 8 20 14
normalized size 1 1. 1.42 0.92 1.17 1.17 0.67 1.67 1.17
time (sec) N/A 0.009 0.005 0.002 0.801 0.266 0.159 0.261 8.121
Problem 435 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 11 11 14 14 8 22 14
normalized size 1 1. 1.1 1.1 1.4 1.4 0.8 2.2 1.4
time (sec) N/A 0.01 0.009 0.002 0.789 0.26 1.112 0.261 12.469
Problem 436 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 16 20 20 15 24 15
normalized size 1 1. 1. 0.94 1.18 1.18 0.88 1.41 0.88
time (sec) N/A 0.044 0.009 0.01 0.795 0.264 0.252 0.26 6.573
Problem 437 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 18 23 23 17 24 17
normalized size 1 1. 1. 0.78 1. 1. 0.74 1.04 0.74
time (sec) N/A 0.048 0.007 0.007 0.872 0.263 0.272 0.261 6.974
Problem 438 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 14 18 18 10 18 10
normalized size 1 1. 1. 0.93 1.2 1.2 0.67 1.2 0.67
time (sec) N/A 0.01 0.008 0.002 0.8 0.267 0.194 0.261 5.06
Problem 439 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 21 18 23 23 20 27 20
normalized size 1 1. 1. 0.86 1.1 1.1 0.95 1.29 0.95
time (sec) N/A 0.048 0.009 0.01 0.785 0.271 0.276 0.26 12.617
Problem 440 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 9 14 12 12 7 12 7
normalized size 1 1. 0.9 1.4 1.2 1.2 0.7 1.2 0.7
time (sec) N/A 0.016 0.009 0.007 0.791 0.251 0.162 0.259 6.909
Problem 441 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 18 23 23 20 27 20
normalized size 1 1. 1. 0.72 0.92 0.92 0.8 1.08 0.8
time (sec) N/A 0.047 0.008 0.01 0.793 0.258 0.299 0.264 9.823
Problem 442 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 14 15 19 19 12 19 12
normalized size 1 1. 1. 1.07 1.36 1.36 0.86 1.36 0.86
time (sec) N/A 0.044 0.006 0.003 0.871 0.265 0.197 0.261 7.141
Problem 443 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 13 13 14 30 15 22 17 15 14
normalized size 1 1. 1.08 2.31 1.15 1.69 1.31 1.15 1.08
time (sec) N/A 0.008 0.01 0.017 0.788 0.245 0.368 0.26 8.477
Problem 444 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 25 32 35 34 20 36 0
normalized size 1 1. 0.96 1.23 1.35 1.31 0.77 1.38 0.
time (sec) N/A 0.07 0.011 0.004 0.789 0.272 1.241 0.263 0.
Problem 445 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 6 6 4 5 5 5 3 7 3
normalized size 1 1. 0.67 0.83 0.83 0.83 0.5 1.17 0.5
time (sec) N/A 0.025 0.001 0.001 0.782 0.252 0.084 0.261 6.117
Problem 446 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 20 19 27 34 19 36 20
normalized size 1 1. 1. 0.95 1.35 1.7 0.95 1.8 1.
time (sec) N/A 0.052 0.007 0.009 0.782 0.254 0.23 0.259 8.09
Problem 447 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 38 38 40 28 36 36 31 38 31
normalized size 1 1. 1.05 0.74 0.95 0.95 0.82 1. 0.82
time (sec) N/A 0.07 0.017 0.008 0.881 0.253 0.307 0.266 6.351
Problem 448 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 18 16 20 20 14 22 0
normalized size 1 1. 1.06 0.94 1.18 1.18 0.82 1.29 0.
time (sec) N/A 0.024 0.005 0.003 0.784 0.251 0.118 0.258 0.
Problem 449 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 36 22 28 28 22 30 22
normalized size 1 1. 1.16 0.71 0.9 0.9 0.71 0.97 0.71
time (sec) N/A 0.036 0.008 0.007 0.871 0.253 0.318 0.261 5.006
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 19 19 19 16 23 20 17 23 17
normalized size 1 1. 1. 0.84 1.21 1.05 0.89 1.21 0.89
time (sec) N/A 0.053 0.008 0.008 0.789 0.254 0.258 0.266 8.065
Problem 451 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 9 9 12 12 8 15 8
normalized size 1 1. 0.82 0.82 1.09 1.09 0.73 1.36 0.73
time (sec) N/A 0.022 0.005 0.002 0.801 0.249 0.165 0.261 3.474
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 18 18 18 13 16 16 14 16 14
normalized size 1 1. 1. 0.72 0.89 0.89 0.78 0.89 0.78
time (sec) N/A 0.04 0.011 0.009 0.865 0.258 0.427 0.259 15.173
Problem 453 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 44 39 62 112 46 70 41
normalized size 1 1. 0.96 0.85 1.35 2.43 1. 1.52 0.89
time (sec) N/A 0.06 0.027 0.016 0.78 0.275 0.508 0.261 7.235
Problem 454 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 10 14 11 11 7 12 7
normalized size 1 1. 0.83 1.17 0.92 0.92 0.58 1. 0.58
time (sec) N/A 0.007 0.002 0.003 0.775 0.259 0.122 0.26 1.7
Problem 455 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 27 28 31 46 20 34 12
normalized size 1 1. 1.29 1.33 1.48 2.19 0.95 1.62 0.57
time (sec) N/A 0.011 0.012 0.013 0.805 0.265 0.219 0.26 1.184
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 19 19 19 16 20 28 12 20 12
normalized size 1 1. 1. 0.84 1.05 1.47 0.63 1.05 0.63
time (sec) N/A 0.016 0.012 0.009 0.869 0.26 0.204 0.26 3.287
Problem 457 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 7 12 7
normalized size 1 1. 1. 0.9 1.1 1.1 0.7 1.2 0.7
time (sec) N/A 0.006 0.001 0.001 0.782 0.268 0.062 0.263 1.08
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 10 10 10 11 14 14 20 14 5
normalized size 1 1. 1. 1.1 1.4 1.4 2. 1.4 0.5
time (sec) N/A 0.009 0.003 0.005 0.871 0.266 0.244 0.26 1.548
Problem 459 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A F(-2) A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 24 16 0 1 53 20 22
normalized size 1 1. 1. 0.67 0. 0.04 2.21 0.83 0.92
time (sec) N/A 0.019 0.007 0.001 0. 0.259 0.3 0.259 2.476
Problem 460 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 19 17 22 22 26 22 22
normalized size 1 1. 1. 0.89 1.16 1.16 1.37 1.16 1.16
time (sec) N/A 0.032 0.009 0.004 0.872 0.271 0.212 0.259 1.405
Problem 461 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 17 22 1 17 22 17
normalized size 1 1. 1. 0.77 1. 0.05 0.77 1. 0.77
time (sec) N/A 0.024 0.001 0.001 0.817 0.236 0.067 0.259 4.292
Problem 462 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 17 22 1 15 22 0
normalized size 1 1. 1. 0.77 1. 0.05 0.68 1. 0.
time (sec) N/A 0.02 0.001 0.001 0.81 0.23 0.065 0.258 0.
Problem 463 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 16 16 16 15 19 20 10 19 0
normalized size 1 1. 1. 0.94 1.19 1.25 0.62 1.19 0.
time (sec) N/A 0.014 0.002 0.005 0.82 0.253 0.108 0.261 0.
Problem 464 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 37 31 41 46 39 41 34
normalized size 1 1. 1. 0.84 1.11 1.24 1.05 1.11 0.92
time (sec) N/A 0.05 0.019 0.006 0.888 0.253 0.233 0.26 6.371
Problem 465 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 13 16 1 10 16 10
normalized size 1 1. 1. 0.93 1.14 0.07 0.71 1.14 0.71
time (sec) N/A 0.012 0.001 0.001 0.806 0.224 0.06 0.257 1.566
Problem 466 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 11 11 11 10 12 12 7 12 0
normalized size 1 1. 1. 0.91 1.09 1.09 0.64 1.09 0.
time (sec) N/A 0.011 0.001 0.001 0.807 0.254 0.063 0.261 0.
Problem 467 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 20 26 26 20 27 20
normalized size 1 1. 1. 0.8 1.04 1.04 0.8 1.08 0.8
time (sec) N/A 0.032 0.009 0.008 0.889 0.261 0.287 0.262 4.815
Problem 468 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 20 26 26 19 27 19
normalized size 1 1. 1. 0.8 1.04 1.04 0.76 1.08 0.76
time (sec) N/A 0.031 0.008 0.006 0.884 0.267 0.261 0.26 5.124
Problem 469 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 20 26 26 19 27 19
normalized size 1 1. 1. 0.8 1.04 1.04 0.76 1.08 0.76
time (sec) N/A 0.053 0.009 0.007 0.881 0.282 0.265 0.261 5.401
Problem 470 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 7 8 9 16 5 11 5
normalized size 1 1. 0.78 0.89 1. 1.78 0.56 1.22 0.56
time (sec) N/A 0.007 0.005 0.005 0.776 0.255 0.124 0.259 3.01
Problem 471 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 17 22 30 20 22 20
normalized size 1 1. 1. 0.77 1. 1.36 0.91 1. 0.91
time (sec) N/A 0.032 0.02 0.01 0.858 0.265 0.411 0.26 8.636
Problem 472 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 37 31 41 47 44 41 37
normalized size 1 1. 1. 0.84 1.11 1.27 1.19 1.11 1.
time (sec) N/A 0.053 0.021 0.006 0.855 0.265 0.253 0.262 6.567
Problem 473 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 15 15 15 14 20 26 14 22 0
normalized size 1 1. 1. 0.93 1.33 1.73 0.93 1.47 0.
time (sec) N/A 0.013 0.003 0.008 0.781 0.263 0.169 0.261 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 15 15 15 14 18 20 10 19 0
normalized size 1 1. 1. 0.93 1.2 1.33 0.67 1.27 0.
time (sec) N/A 0.011 0.001 0.005 0.803 0.265 0.125 0.26 0.
Problem 475 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 18 15 8 18 12
normalized size 1 1. 1. 1.09 1.64 1.36 0.73 1.64 1.09
time (sec) N/A 0.041 0.005 0.006 0.793 0.257 0.189 0.261 6.694
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 22 22 19 18 23 1 17 23 0
normalized size 1 1. 0.86 0.82 1.05 0.05 0.77 1.05 0.
time (sec) N/A 0.018 0.002 0.001 0.782 0.246 0.059 0.261 0.
Problem 477 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 11 10 26 1 19 12 7
normalized size 1 1. 1. 0.91 2.36 0.09 1.73 1.09 0.64
time (sec) N/A 0.007 0.002 0.001 0.778 0.224 0.066 0.258 1.056
Problem 478 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 13 13 16 14 18 18 12 19 0
normalized size 1 1. 1.23 1.08 1.38 1.38 0.92 1.46 0.
time (sec) N/A 0.026 0.006 0.003 0.782 0.261 0.123 0.261 0.
Problem 479 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 16 15 19 24 14 22 14
normalized size 1 1. 1. 0.94 1.19 1.5 0.88 1.38 0.88
time (sec) N/A 0.025 0.004 0.009 0.772 0.26 0.194 0.263 3.269
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 25 31 26 24 34 53 22 36 22
normalized size 1 1.24 1.04 0.96 1.36 2.12 0.88 1.44 0.88
time (sec) N/A 0.027 0.031 0.013 0.781 0.276 0.236 0.26 15.594
Problem 481 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 18 16 20 20 12 22 0
normalized size 1 1. 1.06 0.94 1.18 1.18 0.71 1.29 0.
time (sec) N/A 0.024 0.005 0.003 0.781 0.253 0.108 0.26 0.
Problem 482 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 18 18 18 17 22 27 15 23 0
normalized size 1 1. 1. 0.94 1.22 1.5 0.83 1.28 0.
time (sec) N/A 0.016 0.002 0.008 0.781 0.25 0.13 0.26 0.
Problem 483 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 18 18 18 28 19 0 14 19 0
normalized size 1 1. 1. 1.56 1.06 0. 0.78 1.06 0.
time (sec) N/A 0.031 0.001 0.001 0.869 0. 0.066 0.258 0.
Problem 484 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 22 46 62 31 34 19
normalized size 1 1. 1. 0.96 2. 2.7 1.35 1.48 0.83
time (sec) N/A 0.037 0.018 0.009 0.794 0.249 0.249 0.261 7.274
Problem 485 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 12 13 16 20 10 43 10
normalized size 1 1. 0.75 0.81 1. 1.25 0.62 2.69 0.62
time (sec) N/A 0.037 0.011 0.006 0.876 0.249 0.243 0.265 4.705
Problem 486 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 30 26 34 34 24 35 0
normalized size 1 1. 1.03 0.9 1.17 1.17 0.83 1.21 0.
time (sec) N/A 0.043 0.013 0.003 0.795 0.25 0.139 0.26 0.
Problem 487 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 16 16 16 13 16 16 10 16 0
normalized size 1 1. 1. 0.81 1. 1. 0.62 1. 0.
time (sec) N/A 0.012 0.001 0.001 0.785 0.245 0.073 0.259 0.
Problem 488 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi 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 16 23 34 14 16 14
normalized size 1 1. 1. 0.94 1.35 2. 0.82 0.94 0.82
time (sec) N/A 0.045 0.019 0.009 0.855 0.263 0.308 0.261 5.937
Problem 489 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 47 47 47 43 0 1 151 65 54
normalized size 1 1. 1. 0.91 0. 0.02 3.21 1.38 1.15
time (sec) N/A 0.128 0.04 0.009 0. 0.283 0.83 0.261 8.438
Problem 490 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 57 57 61 61 0 1 294 81 68
normalized size 1 1. 1.07 1.07 0. 0.02 5.16 1.42 1.19
time (sec) N/A 0.159 0.048 0.009 0. 0.276 1.046 0.26 11.858
Problem 491 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A C B F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 188 188 39 308 0 630 24 0 185
normalized size 1 1. 0.21 1.64 0. 3.35 0.13 0. 0.98
time (sec) N/A 0.397 0.046 0.047 0. 0.289 1.766 0. 36.341
Problem 492 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 27 28 88 88 61 41 60
normalized size 1 1. 0.45 0.47 1.47 1.47 1.02 0.68 1.
time (sec) N/A 0.232 0.023 0.012 0.799 0.256 0.823 0.26 57.896
Problem 493 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A F A C A A A F F(-1)
verified N/A N/A Yes TBD TBD TBD TBD TBD TBD
size 27 0 27 250 88 88 61 0 0
normalized size 1 0. 1. 9.26 3.26 3.26 2.26 0. 0.
time (sec) N/A 0.549 0.014 0.04 0.813 0.258 1.067 0. 0.
Problem 494 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Rubi in Sympy
grade A F A B A A A A F(-1)
verified N/A N/A Yes TBD TBD TBD TBD TBD TBD
size 27 0 27 112 88 88 61 150 0
normalized size 1 0. 1. 4.15 3.26 3.26 2.26 5.56 0.
time (sec) N/A 0.787 0.014 0.024 0.811 0.277 0.952 0.262 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 [412] had the largest ratio of [ 0.8235 ]

Table 1: Rubi specific breakdown of results for each integral
# grade
number of
steps
used
number of
unique
rules
normalized
antiderivative
leaf size
integrand
leaf size
\(\frac{\text{number of rules}}{\text{integrand leaf size}}\)
1 A 3 2 1. 24 0.083
2 A 3 3 1. 29 0.103
3 A 2 2 1. 29 0.069
4 A 2 2 1. 29 0.069
5 A 1 0 1. 27 0.
6 A 2 2 1. 29 0.069
7 A 2 2 1. 29 0.069
8 A 2 2 1. 29 0.069
9 A 3 2 1. 27 0.074
10 A 3 2 1. 27 0.074
11 A 1 0 1. 25 0.
12 A 7 7 1. 27 0.259
13 A 8 8 1. 27 0.296
14 A 9 8 1. 27 0.296
15 A 3 2 1. 46 0.043
16 A 3 2 1. 46 0.043
17 A 1 0 1. 44 0.
18 A 2 1 1. 46 0.022
19 A 2 1 1. 46 0.022
20 A 2 1 1. 46 0.022
21 A 5 4 1. 11 0.364
22 A 5 4 1. 17 0.235
23 A 2 2 1. 7 0.286
24 A 3 2 1. 13 0.154
25 A 5 5 1. 11 0.454
26 A 7 7 1. 16 0.438
27 A 6 6 1. 9 0.667
28 A 2 2 1. 7 0.286
29 A 3 3 1. 13 0.231
30 A 3 3 1.11 11 0.273
31 A 3 3 1. 16 0.188
32 A 2 2 1.26 9 0.222
33 A 3 2 1. 29 0.069
34 A 2 1 1. 29 0.034
35 A 2 1 1. 29 0.034
36 A 1 0 1. 27 0.
37 A 10 6 1. 29 0.207
38 A 11 7 1. 29 0.241
39 A 3 2 1. 32 0.062
40 A 2 1 1. 32 0.031
41 A 2 1 1. 32 0.031
42 A 1 0 1. 30 0.
43 A 4 3 1. 32 0.094
44 A 5 4 1. 32 0.125
45 A 2 1 1. 17 0.059
46 A 2 1 1. 17 0.059
47 A 2 1 1. 17 0.059
48 A 1 0 1. 15 0.
49 A 16 9 1. 17 0.529
50 A 18 11 1. 17 0.647
51 A 2 1 1. 17 0.059
52 A 2 1 1. 17 0.059
53 A 2 1 1. 17 0.059
54 A 1 0 1. 15 0.
55 A 15 9 1. 17 0.529
56 A 17 11 1. 17 0.647
57 A 2 1 1. 22 0.045
58 A 2 1 1. 22 0.045
59 A 2 1 1. 22 0.045
60 A 1 0 1. 20 0.
61 A 16 9 1. 22 0.409
62 A 18 11 1. 22 0.5
63 A 2 2 1. 51 0.039
64 A 2 2 1. 51 0.039
65 B 1 0 4.36 49 0.
66 A 2 2 1. 51 0.039
67 A 2 2 1. 51 0.039
68 A 2 2 1. 51 0.039
69 A 6 4 1. 13 0.308
70 A 3 2 1. 19 0.105
71 A 3 2 1. 19 0.105
72 A 3 2 1. 19 0.105
73 A 1 0 1. 17 0.
74 A 5 2 1. 19 0.105
75 A 7 3 1. 19 0.158
76 A 10 3 1. 19 0.158
77 B 15 7 2.25 17 0.412
78 A 6 5 1. 15 0.333
79 A 6 5 1. 15 0.333
80 A 4 4 1. 13 0.308
81 A 2 2 1. 11 0.182
82 A 6 6 1. 15 0.4
83 A 7 6 1. 15 0.4
84 A 7 6 1. 15 0.4
85 A 2 2 1. 13 0.154
86 A 3 3 1. 13 0.231
87 A 4 3 1. 13 0.231
88 A 2 2 1. 19 0.105
89 A 2 2 1. 11 0.182
90 A 3 3 1. 11 0.273
91 A 4 3 1. 11 0.273
92 A 2 2 1. 13 0.154
93 A 3 3 1. 13 0.231
94 A 4 3 1. 13 0.231
95 A 2 2 1. 11 0.182
96 A 3 3 1. 11 0.273
97 A 4 3 1. 11 0.273
98 A 3 2 1. 15 0.133
99 A 4 3 1. 13 0.231
100 A 4 4 1. 17 0.235
101 A 4 4 1. 19 0.21
102 A 4 4 1. 17 0.235
103 A 11 9 1. 17 0.529
104 A 9 8 1. 17 0.471
105 A 7 7 1. 15 0.467
106 A 7 7 1. 13 0.538
107 A 11 9 1.06 17 0.529
108 A 11 9 0.99 17 0.529
109 A 11 9 1. 17 0.529
110 A 16 11 1. 17 0.647
111 A 14 10 1. 17 0.588
112 A 14 10 1. 15 0.667
113 A 10 7 1. 13 0.538
114 A 18 12 1. 17 0.706
115 A 18 12 1. 17 0.706
116 A 3 2 1. 22 0.091
117 A 2 1 1. 22 0.045
118 A 2 1 1. 22 0.045
119 A 1 0 1. 20 0.
120 A 4 3 1. 22 0.136
121 A 5 4 1. 22 0.182
122 A 6 5 1. 22 0.227
123 A 2 1 1. 24 0.042
124 A 2 1 1. 24 0.042
125 A 2 1 1. 24 0.042
126 A 2 1 1. 22 0.045
127 A 8 7 1. 24 0.292
128 A 10 9 1. 24 0.375
129 A 12 10 1. 24 0.417
130 A 2 1 1. 26 0.038
131 A 2 1 1. 26 0.038
132 A 2 1 1. 26 0.038
133 A 2 1 1. 24 0.042
134 A 9 8 1. 26 0.308
135 A 11 10 1. 26 0.385
136 A 14 5 1. 46 0.109
137 A 14 5 1. 46 0.109
138 A 8 3 1. 46 0.065
139 A 14 5 1. 44 0.114
140 A 14 5 1. 42 0.119
141 A 14 5 1. 46 0.109
142 A 14 5 0.99 46 0.109
143 A 14 6 1. 26 0.231
144 A 14 6 1. 26 0.231
145 A 14 6 1. 26 0.231
146 A 8 4 1. 26 0.154
147 A 14 6 1. 24 0.25
148 A 14 6 1. 22 0.273
149 A 14 6 1. 26 0.231
150 A 14 6 1. 26 0.231
151 A 23 7 1. 26 0.269
152 A 23 7 1. 26 0.269
153 A 14 6 1. 26 0.231
154 A 17 5 1. 26 0.192
155 A 23 7 1. 26 0.269
156 A 23 7 1. 26 0.269
157 A 23 7 1. 26 0.269
158 A 2 1 1. 52 0.019
159 A 4 3 1. 52 0.058
160 A 1 1 1. 18 0.056
161 A 1 1 1. 23 0.043
162 A 1 1 1. 23 0.043
163 A 3 3 1. 29 0.103
164 A 1 1 1. 18 0.056
165 A 4 3 1. 20 0.15
166 A 4 3 1. 20 0.15
167 A 4 3 1. 22 0.136
168 A 1 1 1. 18 0.056
169 A 1 1 1. 23 0.043
170 A 1 1 1. 23 0.043
171 A 3 3 1. 29 0.103
172 A 1 1 1. 18 0.056
173 A 1 1 1. 25 0.04
174 C 7 3 4.3 38 0.079
175 A 1 1 1. 27 0.037
176 A 1 1 1. 31 0.032
177 A 2 1 1. 54 0.019
178 A 3 1 1. 54 0.019
179 A 5 4 1. 54 0.074
180 A 1 1 1. 30 0.033
181 A 1 1 1. 29 0.034
182 A 1 1 1. 28 0.036
183 A 1 1 1. 21 0.048
184 A 1 1 1. 20 0.05
185 A 1 1 1. 21 0.048
186 A 1 1 1. 26 0.038
187 A 1 1 1. 25 0.04
188 A 1 1 1. 26 0.038
189 A 1 1 1. 24 0.042
190 A 1 1 1. 24 0.042
191 A 1 1 1. 23 0.043
192 A 1 1 1. 30 0.033
193 A 1 1 1. 29 0.034
194 A 1 1 1. 28 0.036
195 A 1 1 1. 21 0.048
196 A 1 1 1. 21 0.048
197 A 1 1 1. 20 0.05
198 A 1 1 1. 26 0.038
199 A 1 1 1. 25 0.04
200 A 1 1 1. 26 0.038
201 A 1 1 1. 22 0.045
202 A 1 1 1. 24 0.042
203 A 1 1 1. 23 0.043
204 A 1 1 1. 23 0.043
205 A 1 1 1. 19 0.053
206 A 2 1 1. 22 0.045
207 A 2 1 1. 23 0.043
208 A 2 1 1. 22 0.045
209 A 2 1 1. 23 0.043
210 A 2 1 1. 24 0.042
211 A 2 1 1. 25 0.04
212 A 2 1 1. 31 0.032
213 A 2 1 1. 32 0.031
214 A 2 1 1. 35 0.029
215 A 2 1 1. 36 0.028
216 A 2 1 1. 24 0.042
217 A 2 1 1. 31 0.032
218 A 2 1 1. 35 0.029
219 A 1 1 1. 22 0.045
220 A 1 1 1. 18 0.056
221 B 3 2 2.91 26 0.077
222 B 2 1 2.91 28 0.036
223 A 1 1 1. 18 0.056
224 A 1 1 1. 20 0.05
225 A 1 1 1. 21 0.048
226 A 3 3 1. 52 0.058
227 A 9 5 1. 38 0.132
228 A 3 2 1. 32 0.062
229 A 4 3 1. 33 0.091
230 A 3 2 1. 34 0.059
231 A 6 6 1. 43 0.14
232 A 1 1 1. 16 0.062
233 B 15 7 2.25 25 0.28
234 A 1 1 1. 56 0.018
235 A 1 1 1. 51 0.02
236 A 1 1 1. 49 0.02
237 A 1 1 1. 46 0.022
238 A 1 1 1. 48 0.021
239 A 1 1 1. 49 0.02
240 A 1 1 1. 48 0.021
241 A 1 1 1. 48 0.021
242 A 10 5 1. 35 0.143
243 A 10 5 1. 35 0.143
244 A 10 5 1. 35 0.143
245 A 10 5 1. 33 0.152
246 A 10 5 1. 32 0.156
247 A 13 6 1. 35 0.171
248 A 13 6 1. 35 0.171
249 A 13 6 1. 35 0.171
250 A 13 6 1. 35 0.171
251 A 13 6 1. 35 0.171
252 A 11 6 1. 33 0.182
253 A 9 5 1. 32 0.156
254 A 13 6 1. 35 0.171
255 A 13 6 1. 35 0.171
256 A 13 6 1. 35 0.171
257 A 2 2 1. 40 0.05
258 A 6 5 1. 20 0.25
259 A 3 2 1. 20 0.1
260 A 3 2 1. 20 0.1
261 A 2 1 1. 16 0.062
262 A 5 4 1. 22 0.182
263 A 3 2 1. 21 0.095
264 A 6 5 1. 26 0.192
265 A 2 1 1. 20 0.05
266 A 2 1 1. 11 0.091
267 A 4 3 1. 22 0.136
268 A 3 2 1. 21 0.095
269 A 3 2 1. 25 0.08
270 A 5 4 1. 22 0.182
271 A 5 5 1. 31 0.161
272 A 3 2 1. 21 0.095
273 A 4 3 1. 33 0.091
274 A 4 4 1. 14 0.286
275 A 7 6 1. 33 0.182
276 A 7 6 1. 29 0.207
277 A 6 3 1. 44 0.068
278 A 3 2 1. 15 0.133
279 A 5 4 1. 15 0.267
280 A 4 3 1. 18 0.167
281 A 3 2 1. 20 0.1
282 A 5 4 1. 26 0.154
283 A 3 2 1. 13 0.154
284 A 3 2 1. 18 0.111
285 A 2 1 1. 26 0.038
286 A 5 5 1. 19 0.263
287 A 5 5 1. 24 0.208
288 A 8 6 1. 20 0.3
289 A 8 6 1. 18 0.333
290 A 5 3 1. 19 0.158
291 A 3 2 1. 13 0.154
292 A 6 5 1. 22 0.227
293 A 6 5 1. 24 0.208
294 A 2 1 1. 29 0.034
295 A 2 1 1. 30 0.033
296 A 2 1 1. 19 0.053
297 A 4 4 1. 16 0.25
298 A 10 5 1. 36 0.139
299 A 2 1 1. 21 0.048
300 A 5 4 1. 16 0.25
301 A 2 1 1. 24 0.042
302 A 2 1 1. 21 0.048
303 A 2 1 1. 24 0.042
304 A 6 5 1. 26 0.192
305 A 3 2 1. 25 0.08
306 A 2 1 1. 29 0.034
307 A 6 5 1. 20 0.25
308 A 14 9 1. 32 0.281
309 A 4 4 1. 23 0.174
310 A 6 5 1. 26 0.192
311 A 4 3 1. 26 0.115
312 A 8 4 1. 25 0.16
313 A 6 3 1. 23 0.13
314 A 7 6 1. 23 0.261
315 A 5 3 1.18 20 0.15
316 A 3 2 1. 25 0.08
317 A 3 2 1. 22 0.091
318 A 2 1 1. 24 0.042
319 A 6 5 1. 24 0.208
320 A 6 5 1. 43 0.116
321 A 7 5 1.25 50 0.1
322 A 3 2 1. 16 0.125
323 A 6 5 1. 15 0.333
324 A 6 4 1. 20 0.2
325 A 3 2 1. 24 0.083
326 A 5 3 1. 27 0.111
327 A 5 5 1. 26 0.192
328 A 3 2 1. 16 0.125
329 A 11 8 1.32 22 0.364
330 A 5 4 1. 24 0.167
331 A 4 3 1. 26 0.115
332 A 5 3 1. 36 0.083
333 A 4 3 1. 26 0.115
334 A 10 8 1. 20 0.4
335 A 6 6 1. 27 0.222
336 A 7 7 1. 20 0.35
337 A 8 7 1. 25 0.28
338 A 8 7 1. 22 0.318
339 A 2 1 1. 18 0.056
340 A 5 4 1. 20 0.2
341 A 10 8 1. 20 0.4
342 A 16 11 1. 20 0.55
343 A 3 2 1. 14 0.143
344 A 2 2 1. 20 0.1
345 A 14 8 1. 20 0.4
346 A 4 3 1. 26 0.115
347 A 4 3 1. 24 0.125
348 A 6 4 1. 30 0.133
349 A 4 4 1. 21 0.19
350 A 2 1 1. 15 0.067
351 A 4 3 1. 18 0.167
352 A 3 2 1. 22 0.091
353 A 3 2 1. 16 0.125
354 A 6 5 1. 16 0.312
355 A 3 2 1. 25 0.08
356 A 3 2 1. 19 0.105
357 A 2 1 1. 23 0.043
358 A 5 4 1. 23 0.174
359 A 5 4 1. 21 0.19
360 A 10 6 1. 28 0.214
361 A 2 1 1. 24 0.042
362 A 6 5 1. 26 0.192
363 A 2 1 1. 14 0.071
364 A 5 3 1. 16 0.188
365 A 5 5 1. 16 0.312
366 A 7 5 1. 43 0.116
367 A 17 12 1. 26 0.462
368 A 18 12 1. 16 0.75
369 A 3 2 1. 15 0.133
370 A 4 3 1. 15 0.2
371 A 3 2 1. 17 0.118
372 A 4 3 1. 15 0.2
373 A 4 3 1. 15 0.2
374 A 4 3 1. 18 0.167
375 A 3 2 1. 20 0.1
376 A 7 6 1. 29 0.207
377 A 4 3 1. 22 0.136
378 A 6 4 1. 16 0.25
379 A 6 4 1. 16 0.25
380 A 5 4 1. 14 0.286
381 A 4 3 1. 12 0.25
382 A 4 3 1. 16 0.188
383 A 6 5 1. 16 0.312
384 A 4 3 1. 16 0.188
385 A 4 3 1. 16 0.188
386 A 4 3 1. 16 0.188
387 A 8 5 1. 17 0.294
388 A 8 5 1. 19 0.263
389 A 8 5 1. 15 0.333
390 A 8 5 1. 17 0.294
391 A 16 10 1. 23 0.435
392 A 17 10 1. 21 0.476
393 F 0 0 N/A 0 N/A
394 A 15 10 1. 17 0.588
395 A 13 9 1. 17 0.529
396 A 13 9 1. 15 0.6
397 A 9 6 1. 9 0.667
398 A 17 11 1. 17 0.647
399 A 17 11 1. 17 0.647
400 A 17 11 1. 17 0.647
401 A 16 12 1. 17 0.706
402 A 14 10 1. 17 0.588
403 A 14 10 1. 15 0.667
404 A 10 7 1. 9 0.778
405 A 31 13 1. 17 0.765
406 A 31 13 1. 17 0.765
407 A 31 13 1. 17 0.765
408 A 15 11 1. 17 0.647
409 A 15 10 1. 17 0.588
410 A 15 10 1. 15 0.667
411 A 11 7 1. 9 0.778
412 A 46 14 1. 17 0.824
413 A 46 14 1. 17 0.824
414 A 46 14 1. 17 0.824
415 A 4 4 1. 14 0.286
416 A 5 5 1. 13 0.385
417 A 4 4 1. 16 0.25
418 A 5 5 1. 18 0.278
419 A 3 2 1. 14 0.143
420 A 4 3 1. 16 0.188
421 A 2 2 1. 11 0.182
422 A 1 0 1. 17 0.
423 A 1 1 1. 11 0.091
424 B 1 0 6.23 73 0.
425 A 11 7 1. 13 0.538
426 A 13 8 1. 19 0.421
427 A 3 2 1. 15 0.133
428 A 3 2 1. 11 0.182
429 A 1 0 1. 11 0.
430 A 1 0 1. 11 0.
431 A 5 4 1. 16 0.25
432 A 2 1 1. 16 0.062
433 A 4 3 1. 15 0.2
434 A 1 1 1. 15 0.067
435 A 1 1 1. 20 0.05
436 A 3 2 1. 15 0.133
437 A 6 5 1. 13 0.385
438 A 1 1 1. 22 0.045
439 A 3 2 1. 18 0.111
440 A 3 3 1. 20 0.15
441 A 3 2 1. 16 0.125
442 A 6 5 1. 17 0.294
443 A 1 1 1. 17 0.059
444 A 4 2 1. 25 0.08
445 A 4 4 1. 20 0.2
446 A 3 2 1. 18 0.111
447 A 6 5 1. 15 0.333
448 A 2 1 1. 11 0.091
449 A 5 5 1. 13 0.385
450 A 3 2 1. 20 0.1
451 A 2 1 1. 16 0.062
452 A 4 3 1. 16 0.188
453 A 2 1 1. 16 0.062
454 A 1 1 1. 9 0.111
455 A 2 2 1. 7 0.286
456 A 2 2 1. 11 0.182
457 A 1 1 1. 7 0.143
458 A 1 1 1. 9 0.111
459 A 1 1 1. 9 0.111
460 A 2 2 1. 10 0.2
461 A 2 1 1. 13 0.077
462 A 2 1 1. 11 0.091
463 A 2 1 1. 14 0.071
464 A 4 4 1. 16 0.25
465 A 2 1 1. 7 0.143
466 A 2 1 1. 11 0.091
467 A 5 5 1. 13 0.385
468 A 5 5 1. 13 0.385
469 A 5 4 1. 14 0.286
470 A 1 1 1. 13 0.077
471 A 3 2 1. 20 0.1
472 A 4 4 1. 18 0.222
473 A 2 1 1. 12 0.083
474 A 2 1 1. 10 0.1
475 A 3 2 1. 16 0.125
476 A 2 1 1. 11 0.091
477 A 1 1 1. 7 0.143
478 A 2 1 1. 15 0.067
479 A 2 1 1. 12 0.083
480 A 4 3 1.24 16 0.188
481 A 2 1 1. 11 0.091
482 A 2 1 1. 17 0.059
483 A 2 1 1. 29 0.034
484 A 2 1 1. 18 0.056
485 A 3 2 1. 14 0.143
486 A 2 1 1. 24 0.042
487 A 2 1 1. 11 0.091
488 A 3 2 1. 18 0.111
489 A 3 3 1. 15 0.2
490 A 3 3 1. 16 0.188
491 A 10 7 1. 15 0.467
492 A 5 2 1. 50 0.04
493 F 0 0 N/A 0 N/A
494 F 0 0 N/A 0 N/A

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