Detailed conclusion table per each integral is given by the 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 as F.
In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 54 | 58 | 67 | 51 | 60 | 82 | 134 | 52 | 54 |
N.S. |
1 | 1.07 | 1.24 | 0.94 | 1.11 | 1.52 | 2.48 | 0.96 | 1.00 |
time (sec) |
N/A | 0.211 | 0.053 | 3.718 | 0.247 | 0.277 | 0.206 | 0.259 | 0.049 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 33 | 33 | 29 | 30 | 29 | 50 | 80 | 30 | 29 |
N.S. |
1 | 1.00 | 0.88 | 0.91 | 0.88 | 1.52 | 2.42 | 0.91 | 0.88 |
time (sec) |
N/A | 0.185 | 0.031 | 3.577 | 0.237 | 0.258 | 0.196 | 0.275 | 5.889 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 38 | 43 | 37 | 35 | 34 | 67 | 151 | 36 | 32 |
N.S. |
1 | 1.13 | 0.97 | 0.92 | 0.89 | 1.76 | 3.97 | 0.95 | 0.84 |
time (sec) |
N/A | 0.191 | 0.060 | 3.588 | 0.249 | 0.265 | 0.299 | 0.271 | 0.053 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 67 | 74 | 64 | 62 | 63 | 105 | 238 | 67 | 57 |
N.S. |
1 | 1.10 | 0.96 | 0.93 | 0.94 | 1.57 | 3.55 | 1.00 | 0.85 |
time (sec) |
N/A | 0.220 | 0.120 | 3.558 | 0.244 | 0.276 | 0.420 | 0.274 | 5.690 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 102 | 91 | 84 | 88 | 133 | 333 | 90 | 81 |
N.S. |
1 | 1.07 | 0.96 | 0.88 | 0.93 | 1.40 | 3.51 | 0.95 | 0.85 |
time (sec) |
N/A | 0.250 | 0.129 | 6.030 | 0.210 | 0.256 | 0.639 | 0.271 | 5.811 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 123 | 130 | 115 | 106 | 110 | 155 | 400 | 112 | 103 |
N.S. |
1 | 1.06 | 0.93 | 0.86 | 0.89 | 1.26 | 3.25 | 0.91 | 0.84 |
time (sec) |
N/A | 0.275 | 0.149 | 5.980 | 0.203 | 0.265 | 0.900 | 0.275 | 0.091 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 114 | 119 | 119 | 100 | 128 | 157 | 413 | 101 | 108 |
N.S. |
1 | 1.04 | 1.04 | 0.88 | 1.12 | 1.38 | 3.62 | 0.89 | 0.95 |
time (sec) |
N/A | 0.275 | 0.095 | 3.712 | 0.192 | 0.268 | 0.503 | 0.270 | 5.623 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 95 | 95 | 78 | 94 | 135 | 333 | 79 | 86 |
N.S. |
1 | 1.08 | 1.08 | 0.89 | 1.07 | 1.53 | 3.78 | 0.90 | 0.98 |
time (sec) |
N/A | 0.237 | 0.078 | 3.552 | 0.196 | 0.420 | 0.398 | 0.273 | 0.038 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 64 | 68 | 66 | 57 | 60 | 101 | 233 | 53 | 66 |
N.S. |
1 | 1.06 | 1.03 | 0.89 | 0.94 | 1.58 | 3.64 | 0.83 | 1.03 |
time (sec) |
N/A | 0.208 | 0.085 | 10.457 | 0.187 | 0.258 | 0.310 | 0.279 | 5.642 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 27 | 30 | 29 | 47 | 63 | 22 | 34 |
N.S. |
1 | 1.00 | 1.69 | 1.88 | 1.81 | 2.94 | 3.94 | 1.38 | 2.12 |
time (sec) |
N/A | 0.142 | 0.030 | 12.591 | 0.207 | 0.258 | 0.294 | 0.286 | 5.834 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 53 | 61 | 44 | 48 | 54 | 115 | 364 | 48 | 52 |
N.S. |
1 | 1.15 | 0.83 | 0.91 | 1.02 | 2.17 | 6.87 | 0.91 | 0.98 |
time (sec) |
N/A | 0.202 | 0.081 | 3.602 | 0.195 | 0.249 | 0.524 | 0.297 | 5.818 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 85 | 96 | 77 | 78 | 85 | 155 | 481 | 74 | 79 |
N.S. |
1 | 1.13 | 0.91 | 0.92 | 1.00 | 1.82 | 5.66 | 0.87 | 0.93 |
time (sec) |
N/A | 0.237 | 0.135 | 10.290 | 0.194 | 0.257 | 0.843 | 0.278 | 5.853 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 111 | 119 | 104 | 100 | 110 | 182 | 612 | 101 | 102 |
N.S. |
1 | 1.07 | 0.94 | 0.90 | 0.99 | 1.64 | 5.51 | 0.91 | 0.92 |
time (sec) |
N/A | 0.267 | 0.159 | 5.837 | 0.194 | 0.256 | 1.375 | 0.281 | 0.111 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 139 | 152 | 128 | 122 | 132 | 207 | 707 | 123 | 125 |
N.S. |
1 | 1.09 | 0.92 | 0.88 | 0.95 | 1.49 | 5.09 | 0.88 | 0.90 |
time (sec) |
N/A | 0.298 | 0.186 | 3.617 | 0.194 | 0.268 | 2.289 | 0.278 | 5.810 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 155 | 159 | 143 | 135 | 163 | 245 | 966 | 121 | 148 |
N.S. |
1 | 1.03 | 0.92 | 0.87 | 1.05 | 1.58 | 6.23 | 0.78 | 0.95 |
time (sec) |
N/A | 0.327 | 0.101 | 3.733 | 0.203 | 0.288 | 1.065 | 0.300 | 0.060 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 137 | 119 | 113 | 129 | 223 | 835 | 99 | 126 |
N.S. |
1 | 1.05 | 0.91 | 0.86 | 0.98 | 1.70 | 6.37 | 0.76 | 0.96 |
time (sec) |
N/A | 0.282 | 0.094 | 3.668 | 0.210 | 0.276 | 0.743 | 0.287 | 5.788 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 108 | 93 | 92 | 95 | 191 | 704 | 73 | 106 |
N.S. |
1 | 1.01 | 0.87 | 0.86 | 0.89 | 1.79 | 6.58 | 0.68 | 0.99 |
time (sec) |
N/A | 0.243 | 0.097 | 3.571 | 0.195 | 0.288 | 0.635 | 0.311 | 5.742 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 52 | 65 | 64 | 108 | 270 | 42 | 77 |
N.S. |
1 | 1.00 | 2.48 | 3.10 | 3.05 | 5.14 | 12.86 | 2.00 | 3.67 |
time (sec) |
N/A | 0.150 | 0.049 | 5.970 | 0.189 | 0.258 | 0.631 | 0.293 | 0.134 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 38 | 40 | 30 | 31 | 30 | 96 | 136 | 22 | 57 |
N.S. |
1 | 1.05 | 0.79 | 0.82 | 0.79 | 2.53 | 3.58 | 0.58 | 1.50 |
time (sec) |
N/A | 0.183 | 0.032 | 3.637 | 0.188 | 0.260 | 0.651 | 0.302 | 5.756 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 97 | 71 | 76 | 97 | 227 | 1059 | 69 | 94 |
N.S. |
1 | 1.09 | 0.80 | 0.85 | 1.09 | 2.55 | 11.90 | 0.78 | 1.06 |
time (sec) |
N/A | 0.228 | 0.114 | 3.577 | 0.202 | 0.277 | 1.088 | 0.291 | 0.081 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 126 | 133 | 104 | 113 | 130 | 267 | 1241 | 101 | 123 |
N.S. |
1 | 1.06 | 0.83 | 0.90 | 1.03 | 2.12 | 9.85 | 0.80 | 0.98 |
time (sec) |
N/A | 0.275 | 0.169 | 5.941 | 0.197 | 0.280 | 1.895 | 0.299 | 0.122 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 156 | 166 | 128 | 135 | 154 | 295 | 1391 | 119 | 147 |
N.S. |
1 | 1.06 | 0.82 | 0.87 | 0.99 | 1.89 | 8.92 | 0.76 | 0.94 |
time (sec) |
N/A | 0.309 | 0.164 | 3.588 | 0.193 | 0.273 | 3.095 | 0.299 | 5.783 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 203 | 205 | 167 | 175 | 197 | 370 | 2048 | 143 | 202 |
N.S. |
1 | 1.01 | 0.82 | 0.86 | 0.97 | 1.82 | 10.09 | 0.70 | 1.00 |
time (sec) |
N/A | 0.396 | 0.128 | 3.662 | 0.193 | 0.369 | 2.387 | 0.289 | 5.825 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 172 | 179 | 143 | 153 | 162 | 348 | 1839 | 119 | 179 |
N.S. |
1 | 1.04 | 0.83 | 0.89 | 0.94 | 2.02 | 10.69 | 0.69 | 1.04 |
time (sec) |
N/A | 0.335 | 0.121 | 3.583 | 0.198 | 0.326 | 1.624 | 0.304 | 0.102 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 157 | 160 | 104 | 132 | 131 | 315 | 1629 | 95 | 159 |
N.S. |
1 | 1.02 | 0.66 | 0.84 | 0.83 | 2.01 | 10.38 | 0.61 | 1.01 |
time (sec) |
N/A | 0.299 | 0.101 | 5.992 | 0.192 | 0.299 | 1.611 | 0.359 | 5.979 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 45 | 76 | 99 | 98 | 188 | 619 | 64 | 130 |
N.S. |
1 | 1.05 | 1.77 | 2.30 | 2.28 | 4.37 | 14.40 | 1.49 | 3.02 |
time (sec) |
N/A | 0.165 | 0.067 | 3.440 | 0.192 | 0.275 | 1.565 | 0.306 | 6.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 82 | 52 | 65 | 64 | 177 | 410 | 42 | 110 |
N.S. |
1 | 1.05 | 0.67 | 0.83 | 0.82 | 2.27 | 5.26 | 0.54 | 1.41 |
time (sec) |
N/A | 0.216 | 0.050 | 3.469 | 0.195 | 0.291 | 1.555 | 0.289 | 5.819 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 38 | 40 | 30 | 31 | 30 | 164 | 199 | 22 | 90 |
N.S. |
1 | 1.05 | 0.79 | 0.82 | 0.79 | 4.32 | 5.24 | 0.58 | 2.37 |
time (sec) |
N/A | 0.179 | 0.032 | 3.619 | 0.191 | 0.284 | 1.536 | 0.284 | 5.880 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 143 | 151 | 106 | 118 | 163 | 398 | 2581 | 102 | 160 |
N.S. |
1 | 1.06 | 0.74 | 0.83 | 1.14 | 2.78 | 18.05 | 0.71 | 1.12 |
time (sec) |
N/A | 0.276 | 0.171 | 3.640 | 0.201 | 0.313 | 2.474 | 0.276 | 5.629 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 184 | 199 | 139 | 163 | 196 | 435 | 2854 | 134 | 189 |
N.S. |
1 | 1.08 | 0.76 | 0.89 | 1.07 | 2.36 | 15.51 | 0.73 | 1.03 |
time (sec) |
N/A | 0.354 | 0.203 | 5.881 | 0.221 | 0.379 | 4.476 | 0.282 | 5.713 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 217 | 223 | 163 | 186 | 220 | 463 | 3077 | 156 | 213 |
N.S. |
1 | 1.03 | 0.75 | 0.86 | 1.01 | 2.13 | 14.18 | 0.72 | 0.98 |
time (sec) |
N/A | 0.393 | 0.226 | 5.983 | 0.228 | 0.384 | 6.951 | 0.281 | 6.282 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 27 | 19 | 16 | 15 | 15 | 19 | 17 | 10 |
N.S. |
1 | 1.42 | 1.00 | 0.84 | 0.79 | 0.79 | 1.00 | 0.89 | 0.53 |
time (sec) |
N/A | 0.155 | 0.020 | 3.650 | 0.195 | 0.257 | 0.119 | 0.280 | 0.054 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 132 | 134 | 78 | 85 | 98 | 77 | 8588 | 191 | 98 |
N.S. |
1 | 1.02 | 0.59 | 0.64 | 0.74 | 0.58 | 65.06 | 1.45 | 0.74 |
time (sec) |
N/A | 0.243 | 0.071 | 3.674 | 0.185 | 0.267 | 8.724 | 0.287 | 6.599 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 90 | 65 | 58 | 64 | 55 | 1987 | 134 | 64 |
N.S. |
1 | 1.02 | 0.74 | 0.66 | 0.73 | 0.62 | 22.58 | 1.52 | 0.73 |
time (sec) |
N/A | 0.209 | 0.049 | 3.566 | 0.199 | 0.266 | 1.474 | 0.287 | 5.804 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 42 | 44 | 40 | 30 | 30 | 32 | 272 | 76 | 37 |
N.S. |
1 | 1.05 | 0.95 | 0.71 | 0.71 | 0.76 | 6.48 | 1.81 | 0.88 |
time (sec) |
N/A | 0.173 | 0.035 | 12.684 | 0.184 | 0.262 | 0.678 | 0.278 | 5.834 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 45 | 43 | 32 | 49 | 88 | 75 | 41 | 31 |
N.S. |
1 | 1.05 | 1.00 | 0.74 | 1.14 | 2.05 | 1.74 | 0.95 | 0.72 |
time (sec) |
N/A | 0.177 | 0.049 | 3.643 | 0.267 | 0.276 | 0.844 | 0.273 | 6.726 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 79 | 68 | 60 | 100 | 133 | 105 | 72 | 54 |
N.S. |
1 | 1.03 | 0.88 | 0.78 | 1.30 | 1.73 | 1.36 | 0.94 | 0.70 |
time (sec) |
N/A | 0.184 | 0.137 | 12.804 | 0.286 | 0.269 | 2.069 | 0.295 | 6.215 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 133 | 145 | 90 | 88 | 166 | 184 | 170 | 109 | 91 |
N.S. |
1 | 1.09 | 0.68 | 0.66 | 1.25 | 1.38 | 1.28 | 0.82 | 0.68 |
time (sec) |
N/A | 0.214 | 0.201 | 3.566 | 0.274 | 0.275 | 18.580 | 0.277 | 6.016 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 130 | 132 | 78 | 86 | 98 | 67 | 8356 | 85 | 98 |
N.S. |
1 | 1.02 | 0.60 | 0.66 | 0.75 | 0.52 | 64.28 | 0.65 | 0.75 |
time (sec) |
N/A | 0.228 | 0.064 | 3.709 | 0.203 | 0.253 | 5.367 | 0.291 | 5.914 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 84 | 86 | 54 | 57 | 64 | 45 | 1872 | 57 | 64 |
N.S. |
1 | 1.02 | 0.64 | 0.68 | 0.76 | 0.54 | 22.29 | 0.68 | 0.76 |
time (sec) |
N/A | 0.201 | 0.042 | 5.921 | 0.195 | 0.267 | 1.448 | 0.287 | 5.635 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 40 | 42 | 31 | 30 | 30 | 23 | 219 | 27 | 37 |
N.S. |
1 | 1.05 | 0.78 | 0.75 | 0.75 | 0.58 | 5.48 | 0.68 | 0.92 |
time (sec) |
N/A | 0.168 | 0.030 | 3.562 | 0.232 | 0.267 | 0.643 | 0.277 | 5.547 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 27 | 20 | 37 | 67 | 24 | 23 | 19 |
N.S. |
1 | 1.00 | 1.00 | 0.74 | 1.37 | 2.48 | 0.89 | 0.85 | 0.70 |
time (sec) |
N/A | 0.153 | 0.035 | 12.730 | 0.278 | 0.275 | 0.603 | 0.286 | 5.901 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 80 | 85 | 68 | 72 | 104 | 137 | 110 | 75 | 57 |
N.S. |
1 | 1.06 | 0.85 | 0.90 | 1.30 | 1.71 | 1.38 | 0.94 | 0.71 |
time (sec) |
N/A | 0.181 | 0.124 | 3.693 | 0.281 | 0.272 | 2.553 | 0.306 | 5.962 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 136 | 151 | 90 | 124 | 166 | 184 | 173 | 109 | 94 |
N.S. |
1 | 1.11 | 0.66 | 0.91 | 1.22 | 1.35 | 1.27 | 0.80 | 0.69 |
time (sec) |
N/A | 0.215 | 0.159 | 3.617 | 0.282 | 0.272 | 34.209 | 0.284 | 5.862 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | B | B | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 64 | 0 | 71 | 98 | 2628 | 231 | 0 |
N.S. |
1 | 1.00 | 0.86 | 0.00 | 0.96 | 1.32 | 35.51 | 3.12 | 0.00 |
time (sec) |
N/A | 0.206 | 0.148 | 0.000 | 0.224 | 0.283 | 1.814 | 0.306 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 23 | 22 | 21 | 25 | 182 | 21 | 21 |
N.S. |
1 | 1.00 | 1.00 | 0.96 | 0.91 | 1.09 | 7.91 | 0.91 | 0.91 |
time (sec) |
N/A | 0.148 | 0.049 | 3.418 | 0.216 | 0.277 | 0.323 | 0.281 | 5.748 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 9 | 9 | 9 | 8 | 7 | 7 | 7 | 7 | 7 |
N.S. |
1 | 1.00 | 1.00 | 0.89 | 0.78 | 0.78 | 0.78 | 0.78 | 0.78 |
time (sec) |
N/A | 0.142 | 0.002 | 0.020 | 0.195 | 0.263 | 0.057 | 0.292 | 0.023 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 20 | 10 | 9 | 12 | 17 | 14 | 13 |
N.S. |
1 | 1.00 | 1.54 | 0.77 | 0.69 | 0.92 | 1.31 | 1.08 | 1.00 |
time (sec) |
N/A | 0.138 | 0.003 | 12.728 | 0.195 | 0.264 | 0.058 | 0.296 | 0.036 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 26 | 10 | 9 | 17 | 20 | 19 | 19 |
N.S. |
1 | 1.00 | 2.00 | 0.77 | 0.69 | 1.31 | 1.54 | 1.46 | 1.46 |
time (sec) |
N/A | 0.136 | 0.016 | 5.904 | 0.184 | 0.264 | 0.069 | 0.291 | 0.090 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 23 | 19 | 16 | 22 | 15 | 17 | 15 | 15 |
N.S. |
1 | 1.21 | 1.00 | 0.84 | 1.16 | 0.79 | 0.89 | 0.79 | 0.79 |
time (sec) |
N/A | 0.157 | 0.019 | 5.879 | 0.195 | 0.292 | 0.054 | 0.276 | 0.055 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 10 | 9 | 8 | 8 | 8 | 8 | 8 |
N.S. |
1 | 1.00 | 1.00 | 0.90 | 0.80 | 0.80 | 0.80 | 0.80 | 0.80 |
time (sec) |
N/A | 0.139 | 0.012 | 3.697 | 0.189 | 0.259 | 0.062 | 0.289 | 0.051 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 11 | 10 | 9 | 12 | 8 | 9 | 9 |
N.S. |
1 | 1.00 | 1.00 | 0.91 | 0.82 | 1.09 | 0.73 | 0.82 | 0.82 |
time (sec) |
N/A | 0.141 | 0.013 | 5.899 | 0.198 | 0.259 | 0.152 | 0.298 | 0.030 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 11 | 10 | 9 | 20 | 12 | 9 | 9 |
N.S. |
1 | 1.00 | 1.00 | 0.91 | 0.82 | 1.82 | 1.09 | 0.82 | 0.82 |
time (sec) |
N/A | 0.142 | 0.014 | 10.373 | 0.208 | 0.292 | 0.174 | 0.287 | 0.032 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 48 | 34 | 29 | 28 | 23 | 398 | 28 | 0 |
N.S. |
1 | 1.04 | 0.74 | 0.63 | 0.61 | 0.50 | 8.65 | 0.61 | 0.00 |
time (sec) |
N/A | 0.172 | 0.028 | 5.952 | 0.192 | 0.268 | 0.788 | 0.283 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 10 | 9 | 9 | 31 | 9 | 9 |
N.S. |
1 | 1.00 | 1.00 | 0.67 | 0.60 | 0.60 | 2.07 | 0.60 | 0.60 |
time (sec) |
N/A | 0.141 | 0.019 | 6.011 | 0.193 | 0.260 | 0.085 | 0.285 | 6.154 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 58 | 67 | 65 | 49 | 48 | 50 | 138 | 48 | 78 |
N.S. |
1 | 1.16 | 1.12 | 0.84 | 0.83 | 0.86 | 2.38 | 0.83 | 1.34 |
time (sec) |
N/A | 0.197 | 0.072 | 3.679 | 0.292 | 0.258 | 0.677 | 0.273 | 5.578 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | B | A | A | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 78 | 0 | 83 | 260 | 150 | 106 | 292 |
N.S. |
1 | 1.00 | 0.90 | 0.00 | 0.95 | 2.99 | 1.72 | 1.22 | 3.36 |
time (sec) |
N/A | 0.235 | 0.181 | 0.000 | 0.200 | 0.258 | 1.187 | 0.278 | 6.049 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | B | A | A | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 70 | 70 | 63 | 0 | 66 | 167 | 121 | 84 | 184 |
N.S. |
1 | 1.00 | 0.90 | 0.00 | 0.94 | 2.39 | 1.73 | 1.20 | 2.63 |
time (sec) |
N/A | 0.211 | 0.141 | 0.000 | 0.194 | 0.274 | 0.966 | 0.296 | 5.954 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | A | A | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 42 | 0 | 45 | 89 | 78 | 58 | 103 |
N.S. |
1 | 1.00 | 0.89 | 0.00 | 0.96 | 1.89 | 1.66 | 1.23 | 2.19 |
time (sec) |
N/A | 0.190 | 0.132 | 0.000 | 0.207 | 0.277 | 0.816 | 0.280 | 5.745 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | A | A | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 30 | 0 | 28 | 37 | 49 | 36 | 39 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.93 | 1.23 | 1.63 | 1.20 | 1.30 |
time (sec) |
N/A | 0.169 | 0.088 | 0.000 | 0.197 | 0.266 | 0.617 | 0.276 | 5.665 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 36 | 0 | 0 | 0 | 82 | 0 | 0 |
N.S. |
1 | 1.00 | 0.97 | 0.00 | 0.00 | 0.00 | 2.22 | 0.00 | 0.00 |
time (sec) |
N/A | 0.171 | 0.097 | 0.000 | 0.000 | 0.000 | 0.532 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 39 | 0 | 0 | 0 | 478 | 0 | 0 |
N.S. |
1 | 1.00 | 1.05 | 0.00 | 0.00 | 0.00 | 12.92 | 0.00 | 0.00 |
time (sec) |
N/A | 0.163 | 0.104 | 0.000 | 0.000 | 0.000 | 1.038 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-2) | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 52 | 63 | 65 | 0 | 0 | 0 | 46 | 0 | 0 |
N.S. |
1 | 1.21 | 1.25 | 0.00 | 0.00 | 0.00 | 0.88 | 0.00 | 0.00 |
time (sec) |
N/A | 0.182 | 0.093 | 0.000 | 0.000 | 0.000 | 15.948 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 204 | 205 | 168 | 0 | 286 | 458 | 0 | 1642 | 590 |
N.S. |
1 | 1.00 | 0.82 | 0.00 | 1.40 | 2.25 | 0.00 | 8.05 | 2.89 |
time (sec) |
N/A | 0.330 | 0.263 | 0.000 | 0.221 | 0.315 | 0.000 | 0.295 | 6.464 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 152 | 153 | 126 | 0 | 185 | 281 | 0 | 922 | 355 |
N.S. |
1 | 1.01 | 0.83 | 0.00 | 1.22 | 1.85 | 0.00 | 6.07 | 2.34 |
time (sec) |
N/A | 0.271 | 0.191 | 0.000 | 0.210 | 0.307 | 0.000 | 0.281 | 6.279 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | B | B | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 100 | 101 | 95 | 0 | 104 | 148 | 14683 | 410 | 180 |
N.S. |
1 | 1.01 | 0.95 | 0.00 | 1.04 | 1.48 | 146.83 | 4.10 | 1.80 |
time (sec) |
N/A | 0.232 | 0.133 | 0.000 | 0.207 | 0.289 | 29.338 | 0.282 | 6.178 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | B | B | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 48 | 49 | 42 | 0 | 45 | 56 | 445 | 94 | 41 |
N.S. |
1 | 1.02 | 0.88 | 0.00 | 0.94 | 1.17 | 9.27 | 1.96 | 0.85 |
time (sec) |
N/A | 0.188 | 0.104 | 0.000 | 0.197 | 0.337 | 0.874 | 0.286 | 5.696 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 43 | 0 | 0 | 0 | 41 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.95 | 0.00 | 0.00 |
time (sec) |
N/A | 0.166 | 0.093 | 0.000 | 0.000 | 0.000 | 0.911 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 46 | 0 | 0 | 0 | 42 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.91 | 0.00 | 0.00 |
time (sec) |
N/A | 0.167 | 0.097 | 0.000 | 0.000 | 0.000 | 3.019 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 28 | 9 | 8 | 8 | 24 | 20 | 8 |
N.S. |
1 | 1.00 | 2.33 | 0.75 | 0.67 | 0.67 | 2.00 | 1.67 | 0.67 |
time (sec) |
N/A | 0.140 | 0.023 | 3.687 | 0.199 | 0.263 | 0.077 | 0.284 | 5.621 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | F(-1) | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 139 | 150 | 194 | 0 | 184 | 0 | 41 | 0 | 0 |
N.S. |
1 | 1.08 | 1.40 | 0.00 | 1.32 | 0.00 | 0.29 | 0.00 | 0.00 |
time (sec) |
N/A | 0.245 | 0.561 | 0.000 | 0.292 | 0.000 | 1.839 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | F(-1) | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 82 | 86 | 138 | 0 | 100 | 0 | 39 | 0 | 37 |
N.S. |
1 | 1.05 | 1.68 | 0.00 | 1.22 | 0.00 | 0.48 | 0.00 | 0.45 |
time (sec) |
N/A | 0.184 | 0.307 | 0.000 | 0.314 | 0.000 | 0.560 | 0.000 | 5.733 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 50 | 50 | 35 | 0 | 35 | 27 | 76 | 0 | 0 |
N.S. |
1 | 1.00 | 0.70 | 0.00 | 0.70 | 0.54 | 1.52 | 0.00 | 0.00 |
time (sec) |
N/A | 0.172 | 0.215 | 0.000 | 0.207 | 0.546 | 1.257 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 104 | 116 | 59 | 0 | 69 | 53 | 736 | 0 | 0 |
N.S. |
1 | 1.12 | 0.57 | 0.00 | 0.66 | 0.51 | 7.08 | 0.00 | 0.00 |
time (sec) |
N/A | 0.235 | 0.291 | 0.000 | 0.204 | 0.528 | 6.878 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 158 | 182 | 83 | 0 | 103 | 75 | 1554 | 0 | 0 |
N.S. |
1 | 1.15 | 0.53 | 0.00 | 0.65 | 0.47 | 9.84 | 0.00 | 0.00 |
time (sec) |
N/A | 0.277 | 0.423 | 0.000 | 0.199 | 0.538 | 32.843 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | A | A | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 130 | 134 | 80 | 0 | 98 | 72 | 155 | 89 | 98 |
N.S. |
1 | 1.03 | 0.62 | 0.00 | 0.75 | 0.55 | 1.19 | 0.68 | 0.75 |
time (sec) |
N/A | 0.242 | 0.094 | 0.000 | 0.196 | 0.496 | 12.776 | 0.296 | 5.822 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | A | A | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 86 | 90 | 56 | 0 | 64 | 50 | 102 | 61 | 64 |
N.S. |
1 | 1.05 | 0.65 | 0.00 | 0.74 | 0.58 | 1.19 | 0.71 | 0.74 |
time (sec) |
N/A | 0.210 | 0.077 | 0.000 | 0.197 | 0.485 | 2.395 | 0.316 | 5.853 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 40 | 44 | 31 | 30 | 30 | 23 | 49 | 30 | 29 |
N.S. |
1 | 1.10 | 0.78 | 0.75 | 0.75 | 0.58 | 1.22 | 0.75 | 0.72 |
time (sec) |
N/A | 0.185 | 0.062 | 3.406 | 0.195 | 0.457 | 0.335 | 0.308 | 5.873 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | F(-1) | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 85 | 92 | 109 | 85 | 86 | 0 | 41 | 87 | 102 |
N.S. |
1 | 1.08 | 1.28 | 1.00 | 1.01 | 0.00 | 0.48 | 1.02 | 1.20 |
time (sec) |
N/A | 0.216 | 0.216 | 5.745 | 0.285 | 0.000 | 0.672 | 1.602 | 6.009 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | F(-1) | C | A | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 148 | 156 | 155 | 0 | 158 | 0 | 42 | 142 | 205 |
N.S. |
1 | 1.05 | 1.05 | 0.00 | 1.07 | 0.00 | 0.28 | 0.96 | 1.39 |
time (sec) |
N/A | 0.248 | 0.341 | 0.000 | 0.301 | 0.000 | 3.210 | 1.554 | 6.178 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 42 | 57 | 57 | 0 | 0 | 0 | 41 | 0 | 0 |
N.S. |
1 | 1.36 | 1.36 | 0.00 | 0.00 | 0.00 | 0.98 | 0.00 | 0.00 |
time (sec) |
N/A | 0.194 | 10.020 | 0.000 | 0.000 | 0.000 | 1.343 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 42 | 57 | 57 | 0 | 0 | 0 | 41 | 0 | 0 |
N.S. |
1 | 1.36 | 1.36 | 0.00 | 0.00 | 0.00 | 0.98 | 0.00 | 0.00 |
time (sec) |
N/A | 0.196 | 10.015 | 0.000 | 0.000 | 0.000 | 0.489 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 40 | 55 | 55 | 0 | 0 | 0 | 42 | 0 | 0 |
N.S. |
1 | 1.38 | 1.38 | 0.00 | 0.00 | 0.00 | 1.05 | 0.00 | 0.00 |
time (sec) |
N/A | 0.188 | 10.017 | 0.000 | 0.000 | 0.000 | 0.853 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 57 | 0 | 0 | 0 | 48 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.84 | 0.00 | 0.00 |
time (sec) |
N/A | 0.185 | 10.017 | 0.000 | 0.000 | 0.000 | 3.837 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 19 | 14 | 251 | 13 | 15 | 13 | 13 |
N.S. |
1 | 1.00 | 1.00 | 0.74 | 13.21 | 0.68 | 0.79 | 0.68 | 0.68 |
time (sec) |
N/A | 0.150 | 0.018 | 0.025 | 0.203 | 0.276 | 0.513 | 0.283 | 0.028 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 19 | 14 | 200 | 13 | 15 | 13 | 13 |
N.S. |
1 | 1.00 | 1.00 | 0.74 | 10.53 | 0.68 | 0.79 | 0.68 | 0.68 |
time (sec) |
N/A | 0.152 | 0.017 | 0.025 | 0.200 | 0.273 | 0.405 | 0.287 | 0.027 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 19 | 14 | 149 | 13 | 15 | 13 | 13 |
N.S. |
1 | 1.00 | 1.00 | 0.74 | 7.84 | 0.68 | 0.79 | 0.68 | 0.68 |
time (sec) |
N/A | 0.155 | 0.017 | 0.024 | 0.207 | 0.261 | 0.341 | 0.270 | 0.026 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 19 | 14 | 98 | 13 | 15 | 13 | 13 |
N.S. |
1 | 1.00 | 1.00 | 0.74 | 5.16 | 0.68 | 0.79 | 0.68 | 0.68 |
time (sec) |
N/A | 0.159 | 0.015 | 0.023 | 0.196 | 0.258 | 0.302 | 0.287 | 0.025 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 11 | 10 | 10 | 12 | 10 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.79 | 0.71 | 0.71 | 0.86 | 0.71 | 0.71 |
time (sec) |
N/A | 0.147 | 0.002 | 0.024 | 0.207 | 0.271 | 0.020 | 0.274 | 0.025 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 13 | 12 | 11 | 14 | 12 | 12 | 11 |
N.S. |
1 | 1.00 | 1.00 | 0.92 | 0.85 | 1.08 | 0.92 | 0.92 | 0.85 |
time (sec) |
N/A | 0.157 | 0.017 | 0.034 | 0.195 | 0.275 | 0.089 | 0.266 | 5.574 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 19 | 14 | 15 | 15 | 14 | 15 | 13 |
N.S. |
1 | 1.00 | 1.12 | 0.82 | 0.88 | 0.88 | 0.82 | 0.88 | 0.76 |
time (sec) |
N/A | 0.159 | 0.021 | 0.026 | 0.205 | 0.291 | 0.196 | 0.382 | 0.027 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 19 | 14 | 15 | 15 | 17 | 15 | 15 |
N.S. |
1 | 1.00 | 1.00 | 0.74 | 0.79 | 0.79 | 0.89 | 0.79 | 0.79 |
time (sec) |
N/A | 0.155 | 0.020 | 0.027 | 0.199 | 0.267 | 0.274 | 0.358 | 0.028 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 19 | 14 | 15 | 15 | 17 | 15 | 15 |
N.S. |
1 | 1.00 | 1.00 | 0.74 | 0.79 | 0.79 | 0.89 | 0.79 | 0.79 |
time (sec) |
N/A | 0.151 | 0.019 | 0.028 | 0.210 | 0.274 | 0.355 | 0.473 | 0.029 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 36 | 32 | 25 | 250 | 24 | 31 | 24 | 24 |
N.S. |
1 | 1.06 | 0.94 | 0.74 | 7.35 | 0.71 | 0.91 | 0.71 | 0.71 |
time (sec) |
N/A | 0.182 | 0.021 | 5.862 | 0.211 | 0.299 | 0.501 | 0.274 | 5.586 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 36 | 32 | 25 | 200 | 24 | 31 | 24 | 24 |
N.S. |
1 | 1.06 | 0.94 | 0.74 | 5.88 | 0.71 | 0.91 | 0.71 | 0.71 |
time (sec) |
N/A | 0.194 | 0.023 | 10.370 | 0.207 | 0.268 | 0.418 | 0.285 | 0.036 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 36 | 32 | 25 | 148 | 24 | 31 | 24 | 24 |
N.S. |
1 | 1.06 | 0.94 | 0.74 | 4.35 | 0.71 | 0.91 | 0.71 | 0.71 |
time (sec) |
N/A | 0.184 | 0.022 | 12.924 | 0.202 | 0.276 | 0.379 | 0.273 | 0.043 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 36 | 32 | 25 | 98 | 24 | 31 | 24 | 24 |
N.S. |
1 | 1.06 | 0.94 | 0.74 | 2.88 | 0.71 | 0.91 | 0.71 | 0.71 |
time (sec) |
N/A | 0.180 | 0.021 | 3.647 | 0.193 | 0.291 | 0.332 | 0.283 | 0.038 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 34 | 30 | 22 | 21 | 21 | 27 | 21 | 21 |
N.S. |
1 | 1.17 | 1.03 | 0.76 | 0.72 | 0.72 | 0.93 | 0.72 | 0.72 |
time (sec) |
N/A | 0.176 | 0.017 | 5.910 | 0.216 | 0.264 | 0.289 | 0.271 | 5.614 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 34 | 28 | 23 | 22 | 25 | 27 | 23 | 25 |
N.S. |
1 | 1.21 | 1.00 | 0.82 | 0.79 | 0.89 | 0.96 | 0.82 | 0.89 |
time (sec) |
N/A | 0.169 | 0.024 | 3.603 | 0.203 | 0.259 | 0.082 | 0.268 | 5.510 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 29 | 25 | 24 | 24 | 26 | 24 | 24 |
N.S. |
1 | 1.00 | 1.53 | 1.32 | 1.26 | 1.26 | 1.37 | 1.26 | 1.26 |
time (sec) |
N/A | 0.143 | 0.025 | 5.861 | 0.220 | 0.276 | 0.191 | 0.307 | 0.036 |