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 | B | F | A | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 79 | 79 | 99 | 92 | 0 | 442 | 0 | 107 | 0 |
| N.S. |
1 | 1.00 | 1.25 | 1.16 | 0.00 | 5.59 | 0.00 | 1.35 | 0.00 |
| time (sec) |
N/A | 0.203 | 0.239 | 2.389 | 0.000 | 0.324 | 0.000 | 0.281 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | B | F | B | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 100 | 100 | 122 | 88 | 0 | 459 | 0 | 225 | 0 |
| N.S. |
1 | 1.00 | 1.22 | 0.88 | 0.00 | 4.59 | 0.00 | 2.25 | 0.00 |
| time (sec) |
N/A | 0.217 | 0.287 | 2.395 | 0.000 | 0.350 | 0.000 | 0.283 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | B | F | B | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 149 | 148 | 151 | 121 | 0 | 698 | 0 | 487 | 0 |
| N.S. |
1 | 0.99 | 1.01 | 0.81 | 0.00 | 4.68 | 0.00 | 3.27 | 0.00 |
| time (sec) |
N/A | 0.239 | 0.742 | 2.527 | 0.000 | 0.380 | 0.000 | 1.657 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | B | F(-1) | B | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 199 | 185 | 179 | 179 | 0 | 972 | 0 | 919 | 0 |
| N.S. |
1 | 0.93 | 0.90 | 0.90 | 0.00 | 4.88 | 0.00 | 4.62 | 0.00 |
| time (sec) |
N/A | 0.284 | 15.182 | 2.482 | 0.000 | 0.483 | 0.000 | 1.263 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | A | F | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 20 | 20 | 20 | 19 | 0 | 27 | 0 | 18 | 18 |
| N.S. |
1 | 1.00 | 1.00 | 0.95 | 0.00 | 1.35 | 0.00 | 0.90 | 0.90 |
| time (sec) |
N/A | 0.146 | 0.034 | 2.306 | 0.000 | 0.265 | 0.000 | 0.297 | 4.812 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 25 | 25 | 25 | 24 | 0 | 23 | 0 | 51 | 79 |
| N.S. |
1 | 1.00 | 1.00 | 0.96 | 0.00 | 0.92 | 0.00 | 2.04 | 3.16 |
| time (sec) |
N/A | 0.147 | 0.054 | 2.347 | 0.000 | 0.267 | 0.000 | 0.283 | 0.380 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | B | F | A | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 49 | 49 | 70 | 41 | 0 | 241 | 0 | 70 | 0 |
| N.S. |
1 | 1.00 | 1.43 | 0.84 | 0.00 | 4.92 | 0.00 | 1.43 | 0.00 |
| time (sec) |
N/A | 0.163 | 0.099 | 2.351 | 0.000 | 0.307 | 0.000 | 0.276 | 0.000 |
| 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 | 15 | 15 | 29 | 14 | 13 | 44 | 31 | 25 | 27 |
| N.S. |
1 | 1.00 | 1.93 | 0.93 | 0.87 | 2.93 | 2.07 | 1.67 | 1.80 |
| time (sec) |
N/A | 0.137 | 0.041 | 2.381 | 0.289 | 0.271 | 2.076 | 0.276 | 0.041 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | F | F | F | A | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 648 | 703 | 99 | 0 | 0 | 0 | 136 | 0 | 0 |
| N.S. |
1 | 1.08 | 0.15 | 0.00 | 0.00 | 0.00 | 0.21 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.577 | 11.106 | 0.000 | 0.000 | 0.000 | 1.863 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | F | F | F | A | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 617 | 669 | 176 | 0 | 0 | 0 | 99 | 0 | 0 |
| N.S. |
1 | 1.08 | 0.29 | 0.00 | 0.00 | 0.00 | 0.16 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.531 | 8.213 | 0.000 | 0.000 | 0.000 | 1.441 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | F | F | F | A | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 588 | 637 | 62 | 0 | 0 | 0 | 63 | 0 | 0 |
| N.S. |
1 | 1.08 | 0.11 | 0.00 | 0.00 | 0.00 | 0.11 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.485 | 5.662 | 0.000 | 0.000 | 0.000 | 1.089 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 740 | 803 | 162 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.09 | 0.22 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.648 | 6.139 | 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 | C | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 584 | 630 | 86 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.08 | 0.15 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.496 | 10.049 | 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 | C | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 818 | 878 | 252 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.07 | 0.31 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.713 | 10.239 | 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 | C | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 849 | 917 | 265 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.08 | 0.31 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.724 | 10.145 | 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 | C | F | F | F | A | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 668 | 726 | 110 | 0 | 0 | 0 | 139 | 0 | 0 |
| N.S. |
1 | 1.09 | 0.16 | 0.00 | 0.00 | 0.00 | 0.21 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.559 | 12.767 | 0.000 | 0.000 | 0.000 | 2.317 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | F | F | F | A | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 637 | 692 | 173 | 0 | 0 | 0 | 131 | 0 | 0 |
| N.S. |
1 | 1.09 | 0.27 | 0.00 | 0.00 | 0.00 | 0.21 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.532 | 9.542 | 0.000 | 0.000 | 0.000 | 2.097 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | F | F | F | A | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 608 | 660 | 68 | 0 | 0 | 0 | 100 | 0 | 0 |
| N.S. |
1 | 1.09 | 0.11 | 0.00 | 0.00 | 0.00 | 0.16 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.489 | 6.866 | 0.000 | 0.000 | 0.000 | 1.699 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 765 | 824 | 231 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.08 | 0.30 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.649 | 7.215 | 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 | C | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 775 | 836 | 235 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.08 | 0.30 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.642 | 10.159 | 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 | C | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 815 | 882 | 252 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.08 | 0.31 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.677 | 10.168 | 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 | C | F | F | F | A | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 659 | 714 | 98 | 0 | 0 | 0 | 165 | 0 | 0 |
| N.S. |
1 | 1.08 | 0.15 | 0.00 | 0.00 | 0.00 | 0.25 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.568 | 15.045 | 0.000 | 0.000 | 0.000 | 2.360 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | F | F | F | A | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 628 | 680 | 88 | 0 | 0 | 0 | 129 | 0 | 0 |
| N.S. |
1 | 1.08 | 0.14 | 0.00 | 0.00 | 0.00 | 0.21 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.527 | 15.038 | 0.000 | 0.000 | 0.000 | 1.856 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | F | F | F | A | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 597 | 646 | 158 | 0 | 0 | 0 | 94 | 0 | 0 |
| N.S. |
1 | 1.08 | 0.26 | 0.00 | 0.00 | 0.00 | 0.16 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.500 | 12.964 | 0.000 | 0.000 | 0.000 | 1.446 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | F | F | F | A | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 568 | 614 | 62 | 0 | 0 | 0 | 60 | 0 | 0 |
| N.S. |
1 | 1.08 | 0.11 | 0.00 | 0.00 | 0.00 | 0.11 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.458 | 10.021 | 0.000 | 0.000 | 0.000 | 0.952 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 204 | 204 | 162 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.230 | 5.261 | 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 | C | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 787 | 842 | 234 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.07 | 0.30 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.659 | 10.131 | 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 | C | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 818 | 881 | 255 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.08 | 0.31 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.697 | 10.135 | 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 | C | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 623 | 675 | 76 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.08 | 0.12 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.518 | 15.055 | 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 | C | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 592 | 641 | 168 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.08 | 0.28 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.506 | 14.230 | 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 | C | F | F | F | A | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 561 | 611 | 53 | 0 | 0 | 0 | 60 | 0 | 0 |
| N.S. |
1 | 1.09 | 0.09 | 0.00 | 0.00 | 0.00 | 0.11 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.472 | 10.018 | 0.000 | 0.000 | 0.000 | 2.503 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 776 | 831 | 226 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.07 | 0.29 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.663 | 6.107 | 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 | C | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 807 | 863 | 236 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.07 | 0.29 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.689 | 10.143 | 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 | C | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 849 | 920 | 256 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.08 | 0.30 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.728 | 10.182 | 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 | C | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 653 | 706 | 96 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.08 | 0.15 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.548 | 15.063 | 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 | C | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 596 | 647 | 83 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.09 | 0.14 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.531 | 15.061 | 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 | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 44 | 44 | 24 | 24 | 33 | 42 | 0 | 0 | 27 |
| N.S. |
1 | 1.00 | 0.55 | 0.55 | 0.75 | 0.95 | 0.00 | 0.00 | 0.61 |
| time (sec) |
N/A | 0.159 | 15.021 | 2.400 | 0.245 | 0.263 | 0.000 | 0.000 | 4.878 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | F | F | F | A | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 590 | 641 | 74 | 0 | 0 | 0 | 60 | 0 | 0 |
| N.S. |
1 | 1.09 | 0.13 | 0.00 | 0.00 | 0.00 | 0.10 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.496 | 10.027 | 0.000 | 0.000 | 0.000 | 4.637 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 796 | 859 | 248 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.08 | 0.31 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.690 | 7.317 | 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 | C | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 827 | 898 | 259 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.09 | 0.31 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.713 | 10.174 | 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 | C | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 252 | 252 | 163 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.65 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.264 | 5.409 | 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 | C | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 202 | 202 | 166 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.82 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.225 | 5.136 | 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 | C | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 204 | 204 | 153 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.75 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.239 | 4.944 | 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 | C | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 204 | 204 | 162 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.222 | 0.027 | 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 | C | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 204 | 204 | 156 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.76 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.218 | 5.065 | 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 | C | C | F | C | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 113 | 113 | 118 | 704 | 0 | 1232 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.04 | 6.23 | 0.00 | 10.90 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.182 | 0.031 | 64.534 | 0.000 | 0.689 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | F | F | B | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 109 | 109 | 124 | 0 | 0 | 1103 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.14 | 0.00 | 0.00 | 10.12 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.177 | 0.022 | 0.000 | 0.000 | 0.701 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 96 | 96 | 155 | 1033 | 0 | 285 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.61 | 10.76 | 0.00 | 2.97 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.195 | 0.242 | 8.234 | 0.000 | 3.208 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 95 | 95 | 151 | 1552 | 0 | 315 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.59 | 16.34 | 0.00 | 3.32 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.179 | 0.182 | 8.109 | 0.000 | 3.181 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 151 | 151 | 169 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.12 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.197 | 5.641 | 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 | C | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 153 | 153 | 167 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.09 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.198 | 5.771 | 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 | C | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 151 | 151 | 168 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.11 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.193 | 5.857 | 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 | C | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 153 | 153 | 172 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.12 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.196 | 5.803 | 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 | C | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 151 | 151 | 148 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.98 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.208 | 5.404 | 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 | C | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 147 | 147 | 148 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.01 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.194 | 4.655 | 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 | C | C | F | B | F | F | F(-1) |
| verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
| size | 123 | 123 | 136 | 1066 | 0 | 1843 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.11 | 8.67 | 0.00 | 14.98 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.183 | 4.505 | 76.625 | 0.000 | 192.780 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | B | F | F | F(-1) |
| verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
| size | 123 | 123 | 136 | 547 | 0 | 1867 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.11 | 4.45 | 0.00 | 15.18 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.183 | 4.148 | 81.705 | 0.000 | 193.663 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | B | F | F | F(-1) |
| verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
| size | 119 | 119 | 136 | 1063 | 0 | 1771 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.14 | 8.93 | 0.00 | 14.88 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.179 | 4.501 | 74.917 | 0.000 | 190.797 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | B | F | F | F(-1) |
| verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
| size | 119 | 119 | 136 | 1061 | 0 | 1939 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.14 | 8.92 | 0.00 | 16.29 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.179 | 4.572 | 73.391 | 0.000 | 191.298 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | C | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 70 | 70 | 124 | 623 | 0 | 1059 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.77 | 8.90 | 0.00 | 15.13 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.159 | 4.122 | 6.474 | 0.000 | 1.169 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 104 | 104 | 137 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.32 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.170 | 4.786 | 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 | C | C | F | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 74 | 74 | 125 | 539 | 0 | 269 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.69 | 7.28 | 0.00 | 3.64 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.164 | 8.550 | 2.627 | 0.000 | 0.542 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 79 | 58 | 57 | 94 | 70 | 315 | 0 | 0 | 0 |
| N.S. |
1 | 0.73 | 0.72 | 1.19 | 0.89 | 3.99 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.176 | 0.102 | 2.436 | 0.232 | 0.287 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 74 | 58 | 54 | 94 | 0 | 303 | 0 | 0 | 0 |
| N.S. |
1 | 0.78 | 0.73 | 1.27 | 0.00 | 4.09 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.169 | 0.072 | 2.362 | 0.000 | 0.281 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 76 | 58 | 57 | 94 | 0 | 314 | 0 | 0 | 0 |
| N.S. |
1 | 0.76 | 0.75 | 1.24 | 0.00 | 4.13 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.167 | 0.091 | 2.355 | 0.000 | 0.297 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 328 | 312 | 243 | 412 | 0 | 232 | 0 | 0 | 0 |
| N.S. |
1 | 0.95 | 0.74 | 1.26 | 0.00 | 0.71 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.445 | 2.246 | 4.065 | 0.000 | 0.097 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 249 | 242 | 198 | 279 | 0 | 153 | 0 | 0 | 0 |
| N.S. |
1 | 0.97 | 0.80 | 1.12 | 0.00 | 0.61 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.335 | 1.058 | 3.732 | 0.000 | 0.088 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 204 | 206 | 86 | 101 | 0 | 114 | 0 | 0 | 0 |
| N.S. |
1 | 1.01 | 0.42 | 0.50 | 0.00 | 0.56 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.285 | 0.795 | 2.365 | 0.000 | 0.082 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 84 | 84 | 133 | 181 | 0 | 122 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.58 | 2.15 | 0.00 | 1.45 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.179 | 1.897 | 2.367 | 0.000 | 0.092 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 237 | 240 | 243 | 418 | 0 | 333 | 0 | 0 | 0 |
| N.S. |
1 | 1.01 | 1.03 | 1.76 | 0.00 | 1.41 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.300 | 2.675 | 2.373 | 0.000 | 0.091 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 309 | 330 | 285 | 570 | 0 | 689 | 0 | 0 | 0 |
| N.S. |
1 | 1.07 | 0.92 | 1.84 | 0.00 | 2.23 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.403 | 2.871 | 2.394 | 0.000 | 0.106 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 410 | 392 | 302 | 566 | 0 | 316 | 0 | 0 | 0 |
| N.S. |
1 | 0.96 | 0.74 | 1.38 | 0.00 | 0.77 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.571 | 4.175 | 4.935 | 0.000 | 0.096 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 336 | 314 | 246 | 411 | 0 | 233 | 0 | 0 | 0 |
| N.S. |
1 | 0.93 | 0.73 | 1.22 | 0.00 | 0.69 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.441 | 2.236 | 4.045 | 0.000 | 0.097 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 273 | 264 | 199 | 310 | 0 | 166 | 0 | 0 | 0 |
| N.S. |
1 | 0.97 | 0.73 | 1.14 | 0.00 | 0.61 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.354 | 1.935 | 4.418 | 0.000 | 0.101 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 267 | 258 | 191 | 332 | 0 | 226 | 0 | 0 | 0 |
| N.S. |
1 | 0.97 | 0.72 | 1.24 | 0.00 | 0.85 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.357 | 3.634 | 3.344 | 0.000 | 0.095 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 229 | 233 | 232 | 421 | 0 | 294 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 1.01 | 1.84 | 0.00 | 1.28 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.317 | 4.380 | 3.422 | 0.000 | 0.089 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 315 | 323 | 285 | 552 | 0 | 635 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 0.90 | 1.75 | 0.00 | 2.02 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.429 | 4.594 | 3.411 | 0.000 | 0.100 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 235 | 230 | 127 | 252 | 0 | 149 | 0 | 0 | 0 |
| N.S. |
1 | 0.98 | 0.54 | 1.07 | 0.00 | 0.63 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.322 | 0.876 | 3.396 | 0.000 | 0.082 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 38 | 38 | 22 | 75 | 0 | 41 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.58 | 1.97 | 0.00 | 1.08 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.158 | 0.118 | 2.753 | 0.000 | 0.075 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | B | A | A | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 20 | 19 | 15 | 38 | 0 | 38 | 17 | 17 | 0 |
| N.S. |
1 | 0.95 | 0.75 | 1.90 | 0.00 | 1.90 | 0.85 | 0.85 | 0.00 |
| time (sec) |
N/A | 0.156 | 0.002 | 2.357 | 0.000 | 0.252 | 1.252 | 0.290 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 182 | 191 | 37 | 37 | 0 | 124 | 0 | 0 | 0 |
| N.S. |
1 | 1.05 | 0.20 | 0.20 | 0.00 | 0.68 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.275 | 0.631 | 2.366 | 0.000 | 0.082 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 91 | 91 | 60 | 78 | 0 | 67 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.66 | 0.86 | 0.00 | 0.74 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.226 | 0.579 | 2.401 | 0.000 | 0.076 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 150 | 150 | 60 | 53 | 0 | 111 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.40 | 0.35 | 0.00 | 0.74 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.256 | 0.588 | 2.383 | 0.000 | 0.082 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | B | A | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 20 | 20 | 20 | 23 | 0 | 36 | 34 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.00 | 1.15 | 0.00 | 1.80 | 1.70 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.136 | 0.261 | 2.408 | 0.000 | 0.079 | 1.489 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | B | A | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 21 | 21 | 21 | 18 | 0 | 53 | 36 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.00 | 0.86 | 0.00 | 2.52 | 1.71 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.138 | 0.264 | 2.404 | 0.000 | 0.080 | 1.539 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | B | A | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 20 | 20 | 20 | 29 | 0 | 66 | 34 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.00 | 1.45 | 0.00 | 3.30 | 1.70 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.138 | 0.274 | 2.414 | 0.000 | 0.088 | 1.543 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | B | B | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 4 | 4 | 4 | 5 | 0 | 41 | 10 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.00 | 1.25 | 0.00 | 10.25 | 2.50 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.136 | 0.254 | 2.382 | 0.000 | 0.083 | 1.370 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | B | A | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 20 | 20 | 20 | 19 | 0 | 76 | 36 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.00 | 0.95 | 0.00 | 3.80 | 1.80 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.137 | 0.253 | 2.410 | 0.000 | 0.083 | 1.657 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | B | A | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 21 | 21 | 21 | 19 | 0 | 76 | 37 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.00 | 0.90 | 0.00 | 3.62 | 1.76 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.138 | 0.265 | 2.414 | 0.000 | 0.088 | 1.755 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | B | A | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 20 | 20 | 20 | 19 | 0 | 78 | 36 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.00 | 0.95 | 0.00 | 3.90 | 1.80 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.138 | 0.267 | 2.416 | 0.000 | 0.077 | 1.744 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 13 | 13 | 12 | 14 | 0 | 31 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.92 | 1.08 | 0.00 | 2.38 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.159 | 0.250 | 2.384 | 0.000 | 0.079 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 31 | 31 | 27 | 27 | 0 | 36 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.87 | 0.87 | 0.00 | 1.16 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.159 | 0.248 | 2.408 | 0.000 | 0.081 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 35 | 35 | 27 | 31 | 0 | 53 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.77 | 0.89 | 0.00 | 1.51 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.161 | 0.264 | 2.396 | 0.000 | 0.075 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 35 | 35 | 27 | 31 | 0 | 53 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.77 | 0.89 | 0.00 | 1.51 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.159 | 0.270 | 2.421 | 0.000 | 0.078 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 131 | 131 | 27 | 30 | 0 | 64 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.21 | 0.23 | 0.00 | 0.49 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.227 | 0.243 | 2.378 | 0.000 | 0.079 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 136 | 136 | 27 | 26 | 0 | 64 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.20 | 0.19 | 0.00 | 0.47 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.226 | 0.255 | 2.388 | 0.000 | 0.081 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 148 | 151 | 27 | 20 | 0 | 54 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 0.18 | 0.14 | 0.00 | 0.36 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.247 | 0.250 | 2.394 | 0.000 | 0.088 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 40 | 40 | 35 | 32 | 0 | 36 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.88 | 0.80 | 0.00 | 0.90 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.164 | 0.260 | 2.485 | 0.000 | 0.083 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 423 | 415 | 321 | 626 | 0 | 364 | 0 | 0 | 0 |
| N.S. |
1 | 0.98 | 0.76 | 1.48 | 0.00 | 0.86 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.583 | 3.650 | 7.294 | 0.000 | 0.091 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 344 | 335 | 260 | 435 | 0 | 271 | 0 | 0 | 0 |
| N.S. |
1 | 0.97 | 0.76 | 1.26 | 0.00 | 0.79 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.469 | 2.692 | 6.428 | 0.000 | 0.087 | 0.000 | 0.000 | 0.000 |