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 | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 141 | 158 | 116 | 148 | 0 | 253 | 0 | 0 | 0 |
N.S. |
1 | 1.12 | 0.82 | 1.05 | 0.00 | 1.79 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.289 | 0.418 | 0.584 | 0.000 | 0.306 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | C | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 141 | 0 | 141 | 175 | 0 | 411 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 1.24 | 0.00 | 2.91 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.722 | 14.010 | 0.000 | 6.228 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 141 | 0 | 135 | 173 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.96 | 1.23 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 8.231 | 0.556 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 141 | 163 | 131 | 189 | 0 | 646 | 0 | 177 | 0 |
N.S. |
1 | 1.16 | 0.93 | 1.34 | 0.00 | 4.58 | 0.00 | 1.26 | 0.00 |
time (sec) |
N/A | 0.413 | 0.472 | 8.063 | 0.000 | 20.392 | 0.000 | 0.338 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | F(-1) | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 141 | 657 | 142 | 91 | 53 | 0 | 0 | 52 | 49 |
N.S. |
1 | 4.66 | 1.01 | 0.65 | 0.38 | 0.00 | 0.00 | 0.37 | 0.35 |
time (sec) |
N/A | 1.807 | 1.402 | 0.398 | 0.278 | 0.000 | 0.000 | 2.335 | 6.494 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 141 | 180 | 117 | 0 | 0 | 129 | 0 | 0 | 0 |
N.S. |
1 | 1.28 | 0.83 | 0.00 | 0.00 | 0.91 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.603 | 0.170 | 0.000 | 0.000 | 0.263 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | A | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 142 | 165 | 208 | 140 | 0 | 263 | 0 | 90 | 0 |
N.S. |
1 | 1.16 | 1.46 | 0.99 | 0.00 | 1.85 | 0.00 | 0.63 | 0.00 |
time (sec) |
N/A | 0.453 | 1.622 | 15.699 | 0.000 | 1.218 | 0.000 | 0.403 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | F(-1) | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 142 | 112 | 142 | 155 | 133 | 0 | 114 | 0 | 66 |
N.S. |
1 | 0.79 | 1.00 | 1.09 | 0.94 | 0.00 | 0.80 | 0.00 | 0.46 |
time (sec) |
N/A | 0.225 | 0.255 | 0.715 | 0.281 | 0.000 | 1.591 | 0.000 | 6.728 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 142 | 539 | 114 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 3.80 | 0.80 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.100 | 0.371 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | F(-1) | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 142 | 0 | 136 | 159 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.96 | 1.12 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 7.049 | 0.633 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 142 | 0 | 142 | 123 | 0 | 344 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.87 | 0.00 | 2.42 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.353 | 9.309 | 0.000 | 32.325 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 142 | 0 | 142 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.336 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 143 | 127 | 143 | 140 | 0 | 281 | 0 | 0 | 0 |
N.S. |
1 | 0.89 | 1.00 | 0.98 | 0.00 | 1.97 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.273 | 0.331 | 14.702 | 0.000 | 1.743 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | F(-2) | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 143 | 0 | 143 | 179 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 1.25 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.299 | 201.348 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 143 | 0 | 127 | 118 | 0 | 174 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.89 | 0.83 | 0.00 | 1.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.543 | 1.020 | 0.000 | 0.261 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 143 | 0 | 117 | 129 | 0 | 404 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.82 | 0.90 | 0.00 | 2.83 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.258 | 94.495 | 0.000 | 69.243 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | A | F | C | F | B | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 143 | 141 | 132 | 152 | 0 | 623 | 0 | 241 | 0 |
N.S. |
1 | 0.99 | 0.92 | 1.06 | 0.00 | 4.36 | 0.00 | 1.69 | 0.00 |
time (sec) |
N/A | 0.598 | 5.818 | 0.609 | 0.000 | 85.925 | 0.000 | 0.298 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 143 | 272 | 143 | 119 | 0 | 276 | 0 | 0 | 0 |
N.S. |
1 | 1.90 | 1.00 | 0.83 | 0.00 | 1.93 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.553 | 0.349 | 13.595 | 0.000 | 1.741 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 143 | 483 | 143 | 119 | 0 | 271 | 0 | 0 | 0 |
N.S. |
1 | 3.38 | 1.00 | 0.83 | 0.00 | 1.90 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.226 | 0.345 | 14.365 | 0.000 | 1.747 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 143 | 589 | 144 | 97 | 39 | 0 | 41 | 39 | 39 |
N.S. |
1 | 4.12 | 1.01 | 0.68 | 0.27 | 0.00 | 0.29 | 0.27 | 0.27 |
time (sec) |
N/A | 0.986 | 0.733 | 0.398 | 0.252 | 0.000 | 10.628 | 2.330 | 6.100 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 143 | 589 | 144 | 97 | 39 | 0 | 41 | 39 | 39 |
N.S. |
1 | 4.12 | 1.01 | 0.68 | 0.27 | 0.00 | 0.29 | 0.27 | 0.27 |
time (sec) |
N/A | 0.742 | 0.002 | 0.498 | 0.248 | 0.000 | 11.568 | 2.334 | 0.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 143 | 0 | 106 | 0 | 0 | 64 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.74 | 0.00 | 0.00 | 0.45 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.256 | 0.000 | 0.000 | 1.893 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 144 | 134 | 140 | 139 | 0 | 267 | 0 | 0 | 0 |
N.S. |
1 | 0.93 | 0.97 | 0.97 | 0.00 | 1.85 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.732 | 0.354 | 13.998 | 0.000 | 4.608 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 144 | 222 | 122 | 111 | 0 | 168 | 0 | 159 | 0 |
N.S. |
1 | 1.54 | 0.85 | 0.77 | 0.00 | 1.17 | 0.00 | 1.10 | 0.00 |
time (sec) |
N/A | 0.462 | 0.295 | 0.766 | 0.000 | 0.637 | 0.000 | 0.330 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | A | F(-1) |
verified |
N/A | No | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 144 | 237 | 75 | 155 | 0 | 426 | 0 | 162 | 0 |
N.S. |
1 | 1.65 | 0.52 | 1.08 | 0.00 | 2.96 | 0.00 | 1.12 | 0.00 |
time (sec) |
N/A | 0.539 | 10.040 | 1.236 | 0.000 | 134.328 | 0.000 | 0.306 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 144 | 0 | 144 | 1486 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 10.32 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 9.443 | 46.129 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | C | F(-1) | C | B |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 144 | 0 | 116 | 110 | 71 | 172 | 0 | 152 | 202 |
N.S. |
1 | 0.00 | 0.81 | 0.76 | 0.49 | 1.19 | 0.00 | 1.06 | 1.40 |
time (sec) |
N/A | 0.000 | 0.755 | 0.424 | 0.264 | 0.254 | 0.000 | 0.338 | 6.175 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | A | C | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 144 | 0 | 103 | 31 | 0 | 282 | 46 | 0 | 0 |
N.S. |
1 | 0.00 | 0.72 | 0.22 | 0.00 | 1.96 | 0.32 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.249 | 0.033 | 0.000 | 25.649 | 0.748 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | A | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 145 | 224 | 136 | 167 | 175 | 120 | 48 | 175 | 64 |
N.S. |
1 | 1.54 | 0.94 | 1.15 | 1.21 | 0.83 | 0.33 | 1.21 | 0.44 |
time (sec) |
N/A | 0.389 | 0.199 | 0.458 | 0.279 | 0.247 | 0.738 | 0.258 | 6.120 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | A | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 145 | 211 | 136 | 159 | 178 | 152 | 48 | 175 | 64 |
N.S. |
1 | 1.46 | 0.94 | 1.10 | 1.23 | 1.05 | 0.33 | 1.21 | 0.44 |
time (sec) |
N/A | 0.369 | 0.148 | 0.290 | 0.265 | 0.256 | 0.836 | 0.274 | 6.061 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 145 | 0 | 141 | 125 | 0 | 433 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.97 | 0.86 | 0.00 | 2.99 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 2.571 | 78.217 | 0.000 | 84.115 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | A | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 145 | 211 | 136 | 159 | 178 | 152 | 46 | 175 | 64 |
N.S. |
1 | 1.46 | 0.94 | 1.10 | 1.23 | 1.05 | 0.32 | 1.21 | 0.44 |
time (sec) |
N/A | 0.369 | 0.148 | 0.345 | 0.289 | 0.261 | 0.855 | 0.280 | 6.082 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 145 | 0 | 66 | 94 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.46 | 0.65 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 10.421 | 1.743 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | A | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 145 | 211 | 136 | 159 | 178 | 152 | 48 | 175 | 64 |
N.S. |
1 | 1.46 | 0.94 | 1.10 | 1.23 | 1.05 | 0.33 | 1.21 | 0.44 |
time (sec) |
N/A | 0.378 | 0.156 | 0.329 | 0.275 | 0.250 | 0.792 | 0.285 | 6.041 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 145 | 132 | 141 | 139 | 0 | 277 | 0 | 0 | 0 |
N.S. |
1 | 0.91 | 0.97 | 0.96 | 0.00 | 1.91 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.539 | 0.329 | 13.802 | 0.000 | 2.061 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 145 | 0 | 136 | 121 | 0 | 478 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.94 | 0.83 | 0.00 | 3.30 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.374 | 24.708 | 0.000 | 27.357 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | A | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 145 | 211 | 136 | 160 | 178 | 152 | 48 | 175 | 64 |
N.S. |
1 | 1.46 | 0.94 | 1.10 | 1.23 | 1.05 | 0.33 | 1.21 | 0.44 |
time (sec) |
N/A | 0.371 | 0.167 | 0.333 | 0.291 | 0.279 | 0.978 | 0.271 | 6.142 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 145 | 271 | 228 | 68 | 0 | 128 | 0 | 133 | 0 |
N.S. |
1 | 1.87 | 1.57 | 0.47 | 0.00 | 0.88 | 0.00 | 0.92 | 0.00 |
time (sec) |
N/A | 0.429 | 8.120 | 1.163 | 0.000 | 90.853 | 0.000 | 0.292 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 145 | 0 | 191 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.32 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 18.079 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 146 | 137 | 156 | 114 | 0 | 377 | 0 | 100 | 0 |
N.S. |
1 | 0.94 | 1.07 | 0.78 | 0.00 | 2.58 | 0.00 | 0.68 | 0.00 |
time (sec) |
N/A | 0.255 | 0.309 | 0.750 | 0.000 | 0.301 | 0.000 | 0.316 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 146 | 0 | 146 | 149 | 0 | 204 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 1.02 | 0.00 | 1.40 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.179 | 6.645 | 0.000 | 1.988 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 146 | 0 | 142 | 125 | 0 | 410 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.97 | 0.86 | 0.00 | 2.81 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 2.634 | 104.217 | 0.000 | 70.794 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 146 | 0 | 198 | 203 | 0 | 198 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.36 | 1.39 | 0.00 | 1.36 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 3.271 | 12.062 | 0.000 | 1.801 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 146 | 0 | 132 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.90 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.570 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | B | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 146 | 0 | 194 | 0 | 0 | 594 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.33 | 0.00 | 0.00 | 4.07 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.402 | 0.000 | 0.000 | 17.030 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 147 | 137 | 156 | 115 | 0 | 185 | 0 | 99 | 0 |
N.S. |
1 | 0.93 | 1.06 | 0.78 | 0.00 | 1.26 | 0.00 | 0.67 | 0.00 |
time (sec) |
N/A | 0.318 | 0.318 | 0.326 | 0.000 | 0.265 | 0.000 | 0.306 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | N/A | N/A | C | N/A | F(-2) | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 147 | 417 | 173 | 130 | 28 | 484 | 26 | 0 | 28 |
N.S. |
1 | 2.84 | 1.18 | 0.88 | 0.19 | 3.29 | 0.18 | 0.00 | 0.19 |
time (sec) |
N/A | 0.859 | 0.285 | 19.635 | 0.214 | 0.277 | 2.648 | 0.000 | 5.623 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | N/A | N/A | C | N/A | F(-2) | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 147 | 417 | 173 | 130 | 28 | 484 | 26 | 0 | 28 |
N.S. |
1 | 2.84 | 1.18 | 0.88 | 0.19 | 3.29 | 0.18 | 0.00 | 0.19 |
time (sec) |
N/A | 0.703 | 0.002 | 24.589 | 0.228 | 0.270 | 2.583 | 0.000 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 147 | 460 | 147 | 197 | 0 | 1553 | 0 | 0 | 0 |
N.S. |
1 | 3.13 | 1.00 | 1.34 | 0.00 | 10.56 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.369 | 1.097 | 0.509 | 0.000 | 0.529 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 147 | 460 | 147 | 197 | 0 | 1557 | 0 | 0 | 0 |
N.S. |
1 | 3.13 | 1.00 | 1.34 | 0.00 | 10.59 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.292 | 1.093 | 0.528 | 0.000 | 0.572 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | N/A | N/A | C | N/A | C | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 147 | 526 | 159 | 116 | 27 | 485 | 20 | 383 | 27 |
N.S. |
1 | 3.58 | 1.08 | 0.79 | 0.18 | 3.30 | 0.14 | 2.61 | 0.18 |
time (sec) |
N/A | 1.428 | 0.323 | 7.821 | 0.224 | 0.274 | 1.209 | 0.322 | 5.661 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | N/A | N/A | C | N/A | C | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 147 | 526 | 159 | 116 | 27 | 485 | 20 | 383 | 27 |
N.S. |
1 | 3.58 | 1.08 | 0.79 | 0.18 | 3.30 | 0.14 | 2.61 | 0.18 |
time (sec) |
N/A | 1.403 | 0.001 | 31.794 | 0.218 | 0.271 | 1.273 | 0.320 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 147 | 0 | 147 | 130 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.88 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.993 | 0.885 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | C | F | A | F | F | F(-1) |
verified |
N/A | N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 147 | 0 | 0 | 485 | 0 | 103 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 3.30 | 0.00 | 0.70 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 6.574 | 0.000 | 2.035 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 147 | 459 | 146 | 84 | 34 | 0 | 27 | 34 | 36 |
N.S. |
1 | 3.12 | 0.99 | 0.57 | 0.23 | 0.00 | 0.18 | 0.23 | 0.24 |
time (sec) |
N/A | 1.082 | 1.829 | 0.379 | 0.245 | 0.000 | 27.952 | 0.307 | 5.975 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | N/A | N/A | C | N/A | C | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 147 | 222 | 157 | 217 | 29 | 417 | 27 | 208 | 29 |
N.S. |
1 | 1.51 | 1.07 | 1.48 | 0.20 | 2.84 | 0.18 | 1.41 | 0.20 |
time (sec) |
N/A | 1.001 | 0.242 | 0.227 | 0.233 | 4.261 | 15.798 | 0.759 | 6.266 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | N/A | N/A | C | N/A | C | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 147 | 222 | 157 | 217 | 29 | 417 | 27 | 208 | 29 |
N.S. |
1 | 1.51 | 1.07 | 1.48 | 0.20 | 2.84 | 0.18 | 1.41 | 0.20 |
time (sec) |
N/A | 0.818 | 0.003 | 0.181 | 0.247 | 4.213 | 15.733 | 0.780 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 147 | 212 | 111 | 0 | 0 | 133 | 0 | 0 | 0 |
N.S. |
1 | 1.44 | 0.76 | 0.00 | 0.00 | 0.90 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.363 | 0.214 | 0.000 | 0.000 | 0.286 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | C | F | F(-1) | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 147 | 0 | 0 | 0 | 0 | 260 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 1.77 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 0.000 | 0.000 | 0.278 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | N/A | N/A | C | N/A | C | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 148 | 203 | 161 | 122 | 25 | 502 | 26 | 362 | 25 |
N.S. |
1 | 1.37 | 1.09 | 0.82 | 0.17 | 3.39 | 0.18 | 2.45 | 0.17 |
time (sec) |
N/A | 9.022 | 0.338 | 8.762 | 0.311 | 0.289 | 1.978 | 0.384 | 6.040 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 148 | 239 | 168 | 159 | 0 | 331 | 0 | 296 | 111 |
N.S. |
1 | 1.61 | 1.14 | 1.07 | 0.00 | 2.24 | 0.00 | 2.00 | 0.75 |
time (sec) |
N/A | 0.481 | 0.659 | 0.436 | 0.000 | 0.277 | 0.000 | 0.314 | 6.701 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 149 | 131 | 145 | 157 | 0 | 303 | 0 | 0 | 0 |
N.S. |
1 | 0.88 | 0.97 | 1.05 | 0.00 | 2.03 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.267 | 0.386 | 14.117 | 0.000 | 2.124 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 149 | 130 | 149 | 140 | 0 | 279 | 0 | 0 | 0 |
N.S. |
1 | 0.87 | 1.00 | 0.94 | 0.00 | 1.87 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.268 | 0.337 | 13.796 | 0.000 | 1.867 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | A | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 149 | 0 | 149 | 2146 | 0 | 279 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 14.40 | 0.00 | 1.87 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 10.535 | 2.898 | 0.000 | 2.531 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 149 | 173 | 152 | 143 | 0 | 693 | 0 | 0 | 0 |
N.S. |
1 | 1.16 | 1.02 | 0.96 | 0.00 | 4.65 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.482 | 0.797 | 0.539 | 0.000 | 0.334 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 149 | 175 | 117 | 125 | 0 | 0 | 0 | 272 | 0 |
N.S. |
1 | 1.17 | 0.79 | 0.84 | 0.00 | 0.00 | 0.00 | 1.83 | 0.00 |
time (sec) |
N/A | 1.181 | 15.847 | 0.701 | 0.000 | 0.000 | 0.000 | 0.309 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | F(-1) | F | F | F(-1) |
verified |
N/A | N/A | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 149 | 0 | 149 | 2496 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 16.75 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.504 | 10.474 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 149 | 0 | 81 | 0 | 0 | 264 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.54 | 0.00 | 0.00 | 1.77 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.171 | 0.000 | 0.000 | 145.277 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 149 | 0 | 149 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.293 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | A | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 150 | 212 | 141 | 172 | 181 | 203 | 44 | 196 | 69 |
N.S. |
1 | 1.41 | 0.94 | 1.15 | 1.21 | 1.35 | 0.29 | 1.31 | 0.46 |
time (sec) |
N/A | 0.368 | 0.283 | 0.400 | 0.294 | 0.266 | 0.844 | 0.276 | 6.275 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 150 | 132 | 134 | 141 | 0 | 290 | 0 | 0 | 0 |
N.S. |
1 | 0.88 | 0.89 | 0.94 | 0.00 | 1.93 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.273 | 0.342 | 13.191 | 0.000 | 1.819 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 150 | 133 | 133 | 167 | 0 | 278 | 0 | 0 | 0 |
N.S. |
1 | 0.89 | 0.89 | 1.11 | 0.00 | 1.85 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.267 | 0.328 | 13.589 | 0.000 | 2.016 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | A | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 150 | 220 | 145 | 180 | 182 | 189 | 44 | 195 | 69 |
N.S. |
1 | 1.47 | 0.97 | 1.20 | 1.21 | 1.26 | 0.29 | 1.30 | 0.46 |
time (sec) |
N/A | 0.368 | 0.260 | 0.455 | 0.267 | 0.260 | 0.823 | 0.270 | 6.180 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | A | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 150 | 212 | 141 | 172 | 181 | 198 | 44 | 196 | 69 |
N.S. |
1 | 1.41 | 0.94 | 1.15 | 1.21 | 1.32 | 0.29 | 1.31 | 0.46 |
time (sec) |
N/A | 0.367 | 0.185 | 0.440 | 0.273 | 0.261 | 0.931 | 0.282 | 6.112 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | A | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 150 | 0 | 0 | 109 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.73 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 1.225 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | A | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 150 | 212 | 149 | 172 | 181 | 203 | 44 | 196 | 69 |
N.S. |
1 | 1.41 | 0.99 | 1.15 | 1.21 | 1.35 | 0.29 | 1.31 | 0.46 |
time (sec) |
N/A | 0.364 | 0.280 | 0.457 | 0.283 | 0.275 | 1.151 | 0.277 | 6.621 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | A | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 150 | 212 | 141 | 174 | 181 | 198 | 44 | 196 | 69 |
N.S. |
1 | 1.41 | 0.94 | 1.16 | 1.21 | 1.32 | 0.29 | 1.31 | 0.46 |
time (sec) |
N/A | 0.370 | 0.182 | 0.385 | 0.280 | 0.262 | 1.283 | 0.284 | 6.415 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 150 | 0 | 180 | 119 | 0 | 390 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.20 | 0.79 | 0.00 | 2.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 3.523 | 229.081 | 0.000 | 5.085 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | C | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 150 | 503 | 145 | 135 | 40 | 4684 | 36 | 40 | 42 |
N.S. |
1 | 3.35 | 0.97 | 0.90 | 0.27 | 31.23 | 0.24 | 0.27 | 0.28 |
time (sec) |
N/A | 1.280 | 1.041 | 0.378 | 0.225 | 0.666 | 118.193 | 0.942 | 6.638 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | C | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 150 | 501 | 145 | 134 | 41 | 5410 | 34 | 41 | 41 |
N.S. |
1 | 3.34 | 0.97 | 0.89 | 0.27 | 36.07 | 0.23 | 0.27 | 0.27 |
time (sec) |
N/A | 1.294 | 1.034 | 0.526 | 0.222 | 0.558 | 129.567 | 1.538 | 6.521 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | C | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 150 | 501 | 145 | 134 | 41 | 5410 | 34 | 41 | 41 |
N.S. |
1 | 3.34 | 0.97 | 0.89 | 0.27 | 36.07 | 0.23 | 0.27 | 0.27 |
time (sec) |
N/A | 1.037 | 0.001 | 0.294 | 0.214 | 0.568 | 132.576 | 1.543 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 150 | 400 | 152 | 181 | 0 | 651 | 0 | 0 | 0 |
N.S. |
1 | 2.67 | 1.01 | 1.21 | 0.00 | 4.34 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.920 | 0.620 | 0.559 | 0.000 | 1.149 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 150 | 400 | 152 | 181 | 0 | 651 | 0 | 0 | 0 |
N.S. |
1 | 2.67 | 1.01 | 1.21 | 0.00 | 4.34 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.892 | 0.662 | 2.945 | 0.000 | 1.152 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 150 | 0 | 179 | 0 | 0 | 138 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.19 | 0.00 | 0.00 | 0.92 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 3.337 | 0.000 | 0.000 | 0.254 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | A | A | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 151 | 232 | 144 | 158 | 195 | 168 | 80 | 189 | 78 |
N.S. |
1 | 1.54 | 0.95 | 1.05 | 1.29 | 1.11 | 0.53 | 1.25 | 0.52 |
time (sec) |
N/A | 0.396 | 0.211 | 0.298 | 0.266 | 0.275 | 10.279 | 0.278 | 6.687 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 151 | 0 | 151 | 140 | 0 | 420 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.93 | 0.00 | 2.78 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.383 | 16.006 | 0.000 | 8.451 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | A | F(-1) | A | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 151 | 0 | 155 | 76 | 0 | 338 | 0 | 235 | 0 |
N.S. |
1 | 0.00 | 1.03 | 0.50 | 0.00 | 2.24 | 0.00 | 1.56 | 0.00 |
time (sec) |
N/A | 0.000 | 0.625 | 0.301 | 0.000 | 0.254 | 0.000 | 0.329 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | C | F | B | F(-1) | F | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 151 | 1785 | 109 | 160 | 0 | 1197 | 0 | 0 | 0 |
N.S. |
1 | 11.82 | 0.72 | 1.06 | 0.00 | 7.93 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 4.394 | 13.497 | 0.964 | 0.000 | 0.323 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 151 | 100 | 181 | 37 | 0 | 1640 | 0 | 0 | 0 |
N.S. |
1 | 0.66 | 1.20 | 0.25 | 0.00 | 10.86 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.551 | 0.920 | 26.159 | 0.000 | 14.481 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 151 | 545 | 151 | 131 | 0 | 297 | 0 | 0 | 0 |
N.S. |
1 | 3.61 | 1.00 | 0.87 | 0.00 | 1.97 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.155 | 0.436 | 14.031 | 0.000 | 1.886 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 151 | 468 | 151 | 131 | 0 | 294 | 0 | 0 | 0 |
N.S. |
1 | 3.10 | 1.00 | 0.87 | 0.00 | 1.95 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.026 | 0.455 | 13.601 | 0.000 | 1.944 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 151 | 0 | 145 | 187 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.96 | 1.24 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 8.260 | 0.591 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-1) | F | B | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 151 | 139 | 130 | 0 | 0 | 0 | 0 | 288 | 0 |
N.S. |
1 | 0.92 | 0.86 | 0.00 | 0.00 | 0.00 | 0.00 | 1.91 | 0.00 |
time (sec) |
N/A | 0.568 | 0.298 | 0.000 | 0.000 | 0.000 | 0.000 | 0.303 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 151 | 0 | 128 | 0 | 0 | 236 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.85 | 0.00 | 0.00 | 1.56 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.765 | 0.000 | 0.000 | 1.492 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 151 | 0 | 128 | 0 | 0 | 236 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.85 | 0.00 | 0.00 | 1.56 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.647 | 0.000 | 0.000 | 1.439 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 152 | 229 | 143 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.51 | 0.94 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.631 | 0.237 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | C | C | F | A | F(-1) | A | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 152 | 0 | 108 | 70 | 0 | 156 | 0 | 1 | 0 |
N.S. |
1 | 0.00 | 0.71 | 0.46 | 0.00 | 1.03 | 0.00 | 0.01 | 0.00 |
time (sec) |
N/A | 0.000 | 0.538 | 0.322 | 0.000 | 0.262 | 0.000 | 0.325 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | F(-1) | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 152 | 0 | 146 | 193 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.96 | 1.27 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.130 | 0.473 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 152 | 22 | 139 | 165 | 0 | 603 | 0 | 0 | 0 |
N.S. |
1 | 0.14 | 0.91 | 1.09 | 0.00 | 3.97 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.145 | 0.476 | 24.621 | 0.000 | 10.116 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 152 | 282 | 142 | 33 | 0 | 1100 | 0 | 0 | 0 |
N.S. |
1 | 1.86 | 0.93 | 0.22 | 0.00 | 7.24 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.477 | 0.548 | 10.325 | 0.000 | 8.180 | 0.000 | 0.000 | 0.000 |