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 | C | A | B | F | F | F | F | F(-1) |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 186 | 138 | 237 | 476 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.74 | 1.27 | 2.56 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.739 | 0.909 | 1.152 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 430 | 254 | 5036 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.59 | 11.71 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.405 | 63.656 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | C | A | B | F | F | F | F | F(-1) |
| verified |
N/A | No | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 328 | 263 | 370 | 1521 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.80 | 1.13 | 4.64 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.455 | 0.991 | 1.208 | 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 | F | F | F(-2) | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 556 | 535 | 392 | 781 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.96 | 0.71 | 1.40 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 3.094 | 2.995 | 1.456 | 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 | F | F | F(-2) | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 440 | 412 | 343 | 756 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.94 | 0.78 | 1.72 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.469 | 1.693 | 1.458 | 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 | F | F | F(-2) | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 413 | 287 | 319 | 648 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.69 | 0.77 | 1.57 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.737 | 1.424 | 1.201 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | C | A | B | F | F | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 257 | 199 | 270 | 738 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.77 | 1.05 | 2.87 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.269 | 2.119 | 1.086 | 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 | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 196 | 125 | 219 | 341 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.64 | 1.12 | 1.74 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.743 | 1.426 | 0.987 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | C | A | B | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 198 | 140 | 126 | 578 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.71 | 0.64 | 2.92 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.656 | 0.317 | 0.975 | 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 | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 471 | 260 | 613 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.55 | 1.30 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.330 | 3.077 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | C | A | B | F | F | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 341 | 279 | 127 | 1271 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.82 | 0.37 | 3.73 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.465 | 0.516 | 1.475 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 650 | 433 | 5362 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.67 | 8.25 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 4.981 | 63.672 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | C | A | B | F | F | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 496 | 472 | 529 | 2163 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.95 | 1.07 | 4.36 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 4.181 | 1.968 | 1.402 | 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 | F | F(-1) | F(-2) | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 568 | 569 | 490 | 922 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.86 | 1.62 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 3.474 | 4.390 | 1.457 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | C | A | B | F | F | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 482 | 461 | 382 | 2901 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.96 | 0.79 | 6.02 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.708 | 1.962 | 1.354 | 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 | F | F | F(-2) | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 336 | 330 | 356 | 635 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.98 | 1.06 | 1.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.666 | 3.675 | 1.003 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | C | A | B | F | F | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 389 | 249 | 264 | 2657 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.64 | 0.68 | 6.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.294 | 1.836 | 1.295 | 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 | F | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 298 | 189 | 388 | 582 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.63 | 1.30 | 1.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.940 | 2.495 | 1.191 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | C | A | B | F | F | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 331 | 278 | 289 | 2435 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.84 | 0.87 | 7.36 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.709 | 1.643 | 1.161 | 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 | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 597 | 448 | 818 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.75 | 1.37 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 4.986 | 9.527 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | C | A | B | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 476 | 469 | 457 | 2857 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.99 | 0.96 | 6.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 4.142 | 2.851 | 1.500 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | F | B | F | F | F | F(-1) | F | F(-1) |
| verified |
N/A | N/A | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 796 | 0 | 5532 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.00 | 6.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.000 | 65.919 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | C | A | B | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 562 | 750 | 534 | 3745 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.33 | 0.95 | 6.66 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 6.305 | 2.796 | 1.387 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | C | A | B | F | F | F(-1) | F(-2) | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 429 | 407 | 220 | 794 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.95 | 0.51 | 1.85 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.371 | 1.073 | 1.227 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-2) | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 243 | 295 | 116 | 488 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.21 | 0.48 | 2.01 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.128 | 0.358 | 0.832 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | C | A | F | F(-2) | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 177 | 215 | 123 | 343 | 105 | 150 | 0 | 0 | 0 |
| N.S. |
1 | 1.21 | 0.69 | 1.94 | 0.59 | 0.85 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.755 | 0.108 | 1.120 | 0.301 | 0.274 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F(-2) | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 151 | 140 | 87 | 239 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.93 | 0.58 | 1.58 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.536 | 0.166 | 0.624 | 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 | C | A | F | C | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 79 | 80 | 54 | 139 | 50 | 114 | 0 | 76 | 0 |
| N.S. |
1 | 1.01 | 0.68 | 1.76 | 0.63 | 1.44 | 0.00 | 0.96 | 0.00 |
| time (sec) |
N/A | 0.317 | 0.078 | 0.520 | 0.226 | 0.272 | 0.000 | 0.306 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 32 | 32 | 45 | 51 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.41 | 1.59 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.211 | 0.018 | 0.530 | 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 | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 183 | 106 | 151 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.58 | 0.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.537 | 0.171 | 0.000 | 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 | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 124 | 103 | 111 | 241 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.83 | 0.90 | 1.94 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.574 | 0.371 | 0.898 | 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 | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 296 | 194 | 233 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.66 | 0.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.024 | 0.776 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | F(-2) | N/A |
| verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 31 | 31 | 33 | 29 | 31 | 136 | 0 | 0 | 31 |
| N.S. |
1 | 1.00 | 1.06 | 0.94 | 1.00 | 4.39 | 0.00 | 0.00 | 1.00 |
| time (sec) |
N/A | 5.211 | 2.228 | 2.790 | 0.423 | 0.265 | 0.000 | 0.000 | 3.222 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | F(-2) | N/A |
| verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 31 | 31 | 33 | 29 | 31 | 87 | 0 | 0 | 31 |
| N.S. |
1 | 1.00 | 1.06 | 0.94 | 1.00 | 2.81 | 0.00 | 0.00 | 1.00 |
| time (sec) |
N/A | 2.412 | 1.100 | 2.766 | 0.385 | 0.290 | 0.000 | 0.000 | 3.442 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | F(-2) | N/A |
| verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 31 | 31 | 33 | 29 | 31 | 43 | 32 | 0 | 31 |
| N.S. |
1 | 1.00 | 1.06 | 0.94 | 1.00 | 1.39 | 1.03 | 0.00 | 1.00 |
| time (sec) |
N/A | 1.013 | 0.765 | 3.006 | 0.347 | 0.274 | 72.012 | 0.000 | 3.053 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
| verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 31 | 31 | 33 | 29 | 31 | 58 | 32 | 31 | 31 |
| N.S. |
1 | 1.00 | 1.06 | 0.94 | 1.00 | 1.87 | 1.03 | 1.00 | 1.00 |
| time (sec) |
N/A | 0.334 | 3.776 | 1.649 | 0.364 | 0.270 | 22.635 | 0.359 | 3.155 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
| verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 31 | 31 | 33 | 29 | 31 | 70 | 32 | 31 | 31 |
| N.S. |
1 | 1.00 | 1.06 | 0.94 | 1.00 | 2.26 | 1.03 | 1.00 | 1.00 |
| time (sec) |
N/A | 0.340 | 4.457 | 3.079 | 0.435 | 0.259 | 26.558 | 0.365 | 3.383 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A |
| verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 31 | 31 | 33 | 29 | 31 | 84 | 0 | 31 | 31 |
| N.S. |
1 | 1.00 | 1.06 | 0.94 | 1.00 | 2.71 | 0.00 | 1.00 | 1.00 |
| time (sec) |
N/A | 0.341 | 4.765 | 3.251 | 0.425 | 0.261 | 0.000 | 0.375 | 3.440 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
| verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 26 | 26 | 28 | 24 | 26 | 38 | 27 | 26 | 26 |
| N.S. |
1 | 1.00 | 1.08 | 0.92 | 1.00 | 1.46 | 1.04 | 1.00 | 1.00 |
| time (sec) |
N/A | 0.271 | 0.736 | 1.497 | 0.327 | 0.262 | 11.446 | 0.358 | 3.240 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | F(-2) | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 505 | 665 | 179 | 294 | 276 | 248 | 0 | 0 | 0 |
| N.S. |
1 | 1.32 | 0.35 | 0.58 | 0.55 | 0.49 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 4.798 | 0.355 | 0.549 | 0.207 | 0.263 | 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(-2) | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 388 | 431 | 147 | 218 | 210 | 204 | 0 | 0 | 0 |
| N.S. |
1 | 1.11 | 0.38 | 0.56 | 0.54 | 0.53 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.577 | 0.128 | 0.503 | 0.219 | 0.258 | 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(-2) | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 175 | 223 | 109 | 140 | 124 | 140 | 0 | 0 | 0 |
| N.S. |
1 | 1.27 | 0.62 | 0.80 | 0.71 | 0.80 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.262 | 0.151 | 0.146 | 0.195 | 0.256 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | C | A | A | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 144 | 128 | 129 | 253 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.89 | 0.90 | 1.76 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.602 | 0.055 | 0.612 | 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 | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 260 | 244 | 276 | 416 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.94 | 1.06 | 1.60 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.556 | 1.406 | 0.542 | 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 | F | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 387 | 414 | 455 | 527 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.07 | 1.18 | 1.36 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 4.784 | 6.826 | 0.549 | 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(-2) | F | F(-1) | F(-2) | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 605 | 651 | 189 | 887 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.08 | 0.31 | 1.47 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 6.940 | 0.920 | 1.311 | 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(-2) | F | F | F(-2) | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 402 | 390 | 148 | 536 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.97 | 0.37 | 1.33 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 3.881 | 0.408 | 1.088 | 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(-2) | F | F | F(-2) | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 231 | 182 | 98 | 256 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.79 | 0.42 | 1.11 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.278 | 0.207 | 0.727 | 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 | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 46 | 46 | 46 | 55 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.00 | 1.20 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.226 | 0.023 | 0.562 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | C | A | B | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 241 | 143 | 162 | 548 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.59 | 0.67 | 2.27 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.770 | 0.225 | 1.143 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | C | C | B | F | F | F | F(-2) | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 413 | 292 | 270 | 955 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.71 | 0.65 | 2.31 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.119 | 0.900 | 1.320 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | C | C | B | F | F | F(-1) | F(-2) | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 607 | 498 | 375 | 1319 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.82 | 0.62 | 2.17 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 4.001 | 1.638 | 1.339 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-2) | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 315 | 345 | 136 | 520 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.10 | 0.43 | 1.65 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 3.173 | 0.567 | 0.888 | 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 | C | A | F | F(-2) | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 243 | 259 | 140 | 375 | 131 | 205 | 0 | 0 | 0 |
| N.S. |
1 | 1.07 | 0.58 | 1.54 | 0.54 | 0.84 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.023 | 0.134 | 1.377 | 0.301 | 0.255 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F(-2) | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 188 | 158 | 98 | 255 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.84 | 0.52 | 1.36 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.151 | 0.216 | 0.696 | 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 | C | A | F | C | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 110 | 95 | 101 | 155 | 65 | 159 | 0 | 103 | 0 |
| N.S. |
1 | 0.86 | 0.92 | 1.41 | 0.59 | 1.45 | 0.00 | 0.94 | 0.00 |
| time (sec) |
N/A | 0.501 | 0.082 | 0.597 | 0.219 | 0.257 | 0.000 | 0.345 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 32 | 32 | 45 | 51 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.41 | 1.59 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.213 | 0.020 | 0.522 | 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 | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 265 | 154 | 488 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.58 | 1.84 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.681 | 0.508 | 0.000 | 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 | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 166 | 125 | 137 | 313 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.75 | 0.83 | 1.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.705 | 0.436 | 1.050 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 460 | 273 | 1051 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.59 | 2.28 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.496 | 4.225 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
| verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 30 | 30 | 32 | 28 | 30 | 68 | 31 | 30 | 30 |
| N.S. |
1 | 1.00 | 1.07 | 0.93 | 1.00 | 2.27 | 1.03 | 1.00 | 1.00 |
| time (sec) |
N/A | 0.313 | 3.943 | 1.145 | 0.373 | 0.260 | 70.004 | 0.366 | 3.170 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | C | A | A | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 67 | 61 | 45 | 44 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.91 | 0.67 | 0.66 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.364 | 0.374 | 0.540 | 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 | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 50 | 48 | 34 | 33 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.96 | 0.68 | 0.66 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.327 | 0.151 | 0.488 | 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 | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 29 | 33 | 25 | 24 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.14 | 0.86 | 0.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.299 | 0.094 | 0.100 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
| verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 20 | 20 | 22 | 20 | 25 | 24 | 22 | 24 | 22 |
| N.S. |
1 | 1.00 | 1.10 | 1.00 | 1.25 | 1.20 | 1.10 | 1.20 | 1.10 |
| time (sec) |
N/A | 0.208 | 1.582 | 0.569 | 0.281 | 0.236 | 1.310 | 0.286 | 2.772 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
| verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 20 | 20 | 22 | 20 | 23 | 36 | 36 | 23 | 22 |
| N.S. |
1 | 1.00 | 1.10 | 1.00 | 1.15 | 1.80 | 1.80 | 1.15 | 1.10 |
| time (sec) |
N/A | 0.210 | 5.058 | 0.282 | 0.286 | 0.247 | 4.231 | 0.286 | 3.043 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | F | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 339 | 190 | 188 | 297 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.56 | 0.55 | 0.88 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.664 | 0.382 | 0.925 | 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 | F | F | F(-2) | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 297 | 173 | 171 | 250 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.58 | 0.58 | 0.84 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.642 | 0.344 | 0.882 | 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 | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 139 | 90 | 103 | 165 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.65 | 0.74 | 1.19 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.492 | 0.307 | 0.604 | 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 | F | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 197 | 123 | 127 | 186 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.62 | 0.64 | 0.94 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.501 | 0.293 | 0.513 | 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 | F | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 139 | 90 | 105 | 165 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.65 | 0.76 | 1.19 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.402 | 0.312 | 0.664 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | F(-2) | N/A |
| verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 28 | 28 | 30 | 26 | 28 | 28 | 26 | 0 | 28 |
| N.S. |
1 | 1.00 | 1.07 | 0.93 | 1.00 | 1.00 | 0.93 | 0.00 | 1.00 |
| time (sec) |
N/A | 0.628 | 1.534 | 0.971 | 0.306 | 0.256 | 1.205 | 0.000 | 3.052 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
| verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 28 | 28 | 30 | 26 | 28 | 32 | 27 | 28 | 28 |
| N.S. |
1 | 1.00 | 1.07 | 0.93 | 1.00 | 1.14 | 0.96 | 1.00 | 1.00 |
| time (sec) |
N/A | 0.502 | 1.796 | 0.917 | 0.289 | 0.243 | 1.657 | 0.310 | 2.699 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | F(-2) | N/A |
| verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 28 | 28 | 30 | 26 | 28 | 32 | 27 | 0 | 28 |
| N.S. |
1 | 1.00 | 1.07 | 0.93 | 1.00 | 1.14 | 0.96 | 0.00 | 1.00 |
| time (sec) |
N/A | 0.299 | 7.707 | 1.078 | 0.286 | 0.236 | 3.077 | 0.000 | 3.050 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
| verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 28 | 28 | 30 | 26 | 28 | 32 | 27 | 28 | 28 |
| N.S. |
1 | 1.00 | 1.07 | 0.93 | 1.00 | 1.14 | 0.96 | 1.00 | 1.00 |
| time (sec) |
N/A | 0.300 | 1.248 | 1.109 | 0.277 | 0.253 | 8.026 | 0.303 | 2.906 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | F | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 397 | 224 | 215 | 318 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.56 | 0.54 | 0.80 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.710 | 0.712 | 0.530 | 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 | F | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 339 | 191 | 188 | 297 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.56 | 0.55 | 0.88 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.616 | 0.624 | 0.711 | 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 | F | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 297 | 174 | 172 | 252 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.59 | 0.58 | 0.85 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.579 | 0.600 | 0.602 | 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 | F | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 239 | 141 | 147 | 231 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.59 | 0.62 | 0.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.475 | 0.549 | 0.859 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | F(-2) | N/A |
| verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 28 | 28 | 30 | 26 | 28 | 28 | 26 | 0 | 28 |
| N.S. |
1 | 1.00 | 1.07 | 0.93 | 1.00 | 1.00 | 0.93 | 0.00 | 1.00 |
| time (sec) |
N/A | 0.982 | 1.628 | 1.149 | 0.286 | 0.254 | 10.390 | 0.000 | 2.908 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
| verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 28 | 28 | 30 | 26 | 28 | 32 | 27 | 28 | 28 |
| N.S. |
1 | 1.00 | 1.07 | 0.93 | 1.00 | 1.14 | 0.96 | 1.00 | 1.00 |
| time (sec) |
N/A | 0.812 | 2.406 | 0.905 | 0.282 | 0.249 | 11.347 | 0.316 | 3.082 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | F(-2) | N/A |
| verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 28 | 28 | 30 | 26 | 28 | 32 | 27 | 0 | 28 |
| N.S. |
1 | 1.00 | 1.07 | 0.93 | 1.00 | 1.14 | 0.96 | 0.00 | 1.00 |
| time (sec) |
N/A | 0.324 | 8.156 | 1.054 | 0.272 | 0.249 | 27.240 | 0.000 | 3.146 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
| verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 28 | 28 | 30 | 26 | 28 | 32 | 27 | 28 | 28 |
| N.S. |
1 | 1.00 | 1.07 | 0.93 | 1.00 | 1.14 | 0.96 | 1.00 | 1.00 |
| time (sec) |
N/A | 0.316 | 1.336 | 1.253 | 0.279 | 0.248 | 71.907 | 0.311 | 2.964 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 397 | 223 | 216 | 320 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.56 | 0.54 | 0.81 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.731 | 1.054 | 0.596 | 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 | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 439 | 240 | 233 | 365 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.55 | 0.53 | 0.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.748 | 1.040 | 0.802 | 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 | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 397 | 223 | 216 | 318 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.56 | 0.54 | 0.80 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.638 | 0.978 | 0.513 | 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 | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 339 | 190 | 191 | 297 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.56 | 0.56 | 0.88 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.570 | 0.756 | 0.949 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | F(-2) | N/A |
| verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 28 | 28 | 30 | 26 | 28 | 45 | 0 | 0 | 28 |
| N.S. |
1 | 1.00 | 1.07 | 0.93 | 1.00 | 1.61 | 0.00 | 0.00 | 1.00 |
| time (sec) |
N/A | 1.381 | 1.536 | 1.017 | 0.306 | 0.246 | 0.000 | 0.000 | 2.724 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A |
| verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 28 | 28 | 30 | 26 | 28 | 49 | 0 | 28 | 28 |
| N.S. |
1 | 1.00 | 1.07 | 0.93 | 1.00 | 1.75 | 0.00 | 1.00 | 1.00 |
| time (sec) |
N/A | 1.200 | 2.591 | 0.980 | 0.309 | 0.250 | 0.000 | 0.307 | 2.761 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | F(-2) | N/A |
| verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 28 | 28 | 30 | 26 | 28 | 49 | 0 | 0 | 28 |
| N.S. |
1 | 1.00 | 1.07 | 0.93 | 1.00 | 1.75 | 0.00 | 0.00 | 1.00 |
| time (sec) |
N/A | 0.315 | 7.868 | 1.283 | 0.318 | 0.255 | 0.000 | 0.000 | 2.707 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A |
| verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 28 | 28 | 30 | 26 | 28 | 49 | 0 | 28 | 28 |
| N.S. |
1 | 1.00 | 1.07 | 0.93 | 1.00 | 1.75 | 0.00 | 1.00 | 1.00 |
| time (sec) |
N/A | 0.321 | 1.528 | 1.304 | 0.314 | 0.261 | 0.000 | 0.318 | 2.709 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 98 | 55 | 69 | 91 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.56 | 0.70 | 0.93 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.418 | 0.097 | 0.802 | 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 | F | F | F(-2) | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 65 | 44 | 60 | 78 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.68 | 0.92 | 1.20 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.403 | 0.079 | 1.030 | 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 | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 65 | 44 | 60 | 67 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.68 | 0.92 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.431 | 0.086 | 0.586 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 28 | 28 | 50 | 58 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.79 | 2.07 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.317 | 0.071 | 0.778 | 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 | 28 | 28 | 47 | 48 | 0 | 55 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.68 | 1.71 | 0.00 | 1.96 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.232 | 0.055 | 0.664 | 0.000 | 0.249 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
| verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 24 | 24 | 26 | 22 | 24 | 35 | 24 | 24 | 24 |
| N.S. |
1 | 1.00 | 1.08 | 0.92 | 1.00 | 1.46 | 1.00 | 1.00 | 1.00 |
| time (sec) |
N/A | 0.262 | 0.687 | 1.542 | 0.281 | 0.240 | 1.372 | 0.308 | 2.736 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
| verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 24 | 24 | 26 | 22 | 24 | 37 | 26 | 24 | 24 |
| N.S. |
1 | 1.00 | 1.08 | 0.92 | 1.00 | 1.54 | 1.08 | 1.00 | 1.00 |
| time (sec) |
N/A | 0.277 | 0.891 | 2.220 | 0.279 | 0.245 | 4.129 | 0.292 | 2.718 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | F | F | F(-2) | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 197 | 123 | 130 | 182 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.62 | 0.66 | 0.92 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.553 | 0.468 | 1.236 | 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 | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 139 | 90 | 99 | 161 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.65 | 0.71 | 1.16 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.481 | 0.383 | 0.764 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |