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 | C | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 229 | 229 | 461 | 779 | 0 | 339 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 2.01 | 3.40 | 0.00 | 1.48 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.285 | 7.741 | 22.640 | 0.000 | 0.106 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 192 | 192 | 372 | 466 | 0 | 308 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.94 | 2.43 | 0.00 | 1.60 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.264 | 4.038 | 17.627 | 0.000 | 0.116 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 153 | 153 | 420 | 318 | 0 | 248 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 2.75 | 2.08 | 0.00 | 1.62 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.227 | 4.730 | 9.110 | 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 | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 123 | 123 | 200 | 243 | 0 | 237 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.63 | 1.98 | 0.00 | 1.93 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.189 | 2.462 | 6.627 | 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 | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 128 | 128 | 445 | 244 | 0 | 241 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 3.48 | 1.91 | 0.00 | 1.88 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.177 | 3.520 | 7.536 | 0.000 | 0.104 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 164 | 164 | 232 | 262 | 0 | 260 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.41 | 1.60 | 0.00 | 1.59 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.232 | 3.525 | 8.510 | 0.000 | 0.110 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 197 | 197 | 540 | 282 | 0 | 278 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 2.74 | 1.43 | 0.00 | 1.41 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.269 | 4.431 | 8.974 | 0.000 | 0.113 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 230 | 230 | 568 | 300 | 0 | 297 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 2.47 | 1.30 | 0.00 | 1.29 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.346 | 4.848 | 9.123 | 0.000 | 0.121 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F(-1) | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 237 | 237 | 480 | 723 | 0 | 426 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 2.03 | 3.05 | 0.00 | 1.80 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.594 | 7.610 | 27.426 | 0.000 | 0.136 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F(-1) | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 204 | 204 | 455 | 492 | 0 | 365 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 2.23 | 2.41 | 0.00 | 1.79 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.517 | 6.076 | 19.215 | 0.000 | 0.105 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F(-1) | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 161 | 161 | 256 | 350 | 0 | 325 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.59 | 2.17 | 0.00 | 2.02 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.401 | 3.359 | 7.803 | 0.000 | 0.103 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 168 | 168 | 256 | 350 | 0 | 324 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.52 | 2.08 | 0.00 | 1.93 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.369 | 3.788 | 8.826 | 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 | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 177 | 177 | 507 | 421 | 0 | 364 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 2.86 | 2.38 | 0.00 | 2.06 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.395 | 7.259 | 10.503 | 0.000 | 0.112 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 211 | 211 | 899 | 435 | 0 | 377 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 4.26 | 2.06 | 0.00 | 1.79 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.419 | 8.653 | 9.873 | 0.000 | 0.119 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 244 | 244 | 946 | 465 | 0 | 395 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 3.88 | 1.91 | 0.00 | 1.62 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.454 | 9.127 | 10.496 | 0.000 | 0.113 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F(-1) | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 292 | 292 | 499 | 876 | 0 | 536 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.71 | 3.00 | 0.00 | 1.84 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.671 | 8.325 | 46.955 | 0.000 | 0.119 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F(-1) | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 261 | 261 | 924 | 685 | 0 | 481 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 3.54 | 2.62 | 0.00 | 1.84 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.622 | 8.411 | 42.252 | 0.000 | 0.108 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F(-1) | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 220 | 220 | 919 | 451 | 0 | 474 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 4.18 | 2.05 | 0.00 | 2.15 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.548 | 8.456 | 41.075 | 0.000 | 0.113 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F(-1) | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 216 | 216 | 918 | 451 | 0 | 472 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 4.25 | 2.09 | 0.00 | 2.19 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.711 | 8.292 | 9.329 | 0.000 | 0.115 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F(-1) | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 222 | 222 | 919 | 451 | 0 | 474 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 4.14 | 2.03 | 0.00 | 2.14 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.720 | 8.655 | 11.090 | 0.000 | 0.112 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F(-1) | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 228 | 228 | 364 | 451 | 0 | 478 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.60 | 1.98 | 0.00 | 2.10 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.632 | 6.599 | 11.358 | 0.000 | 0.123 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F(-2) | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 261 | 261 | 377 | 465 | 0 | 489 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.44 | 1.78 | 0.00 | 1.87 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.623 | 7.460 | 11.118 | 0.000 | 0.127 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F(-1) | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 294 | 294 | 1032 | 493 | 0 | 506 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 3.51 | 1.68 | 0.00 | 1.72 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.644 | 10.272 | 11.170 | 0.000 | 0.151 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 176 | 176 | 156 | 406 | 3342 | 448 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.89 | 2.31 | 18.99 | 2.55 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.335 | 0.620 | 7.098 | 0.679 | 0.351 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 131 | 131 | 121 | 344 | 1927 | 402 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.92 | 2.63 | 14.71 | 3.07 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.287 | 0.537 | 6.778 | 0.594 | 0.411 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 78 | 78 | 93 | 276 | 905 | 322 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.19 | 3.54 | 11.60 | 4.13 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.204 | 0.298 | 6.234 | 0.552 | 0.347 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 76 | 76 | 83 | 162 | 262 | 307 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.09 | 2.13 | 3.45 | 4.04 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.186 | 0.295 | 6.519 | 0.486 | 0.341 | 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 | 82 | 82 | 56 | 57 | 134 | 74 | 0 | 0 | 81 |
| N.S. |
1 | 1.00 | 0.68 | 0.70 | 1.63 | 0.90 | 0.00 | 0.00 | 0.99 |
| time (sec) |
N/A | 0.204 | 0.167 | 4.278 | 0.455 | 0.321 | 0.000 | 0.000 | 14.617 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | B | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 130 | 130 | 71 | 78 | 317 | 92 | 0 | 0 | 106 |
| N.S. |
1 | 1.00 | 0.55 | 0.60 | 2.44 | 0.71 | 0.00 | 0.00 | 0.82 |
| time (sec) |
N/A | 0.295 | 0.236 | 4.418 | 0.495 | 0.262 | 0.000 | 0.000 | 15.049 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | B | A | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 175 | 175 | 91 | 100 | 498 | 110 | 0 | 0 | 130 |
| N.S. |
1 | 1.00 | 0.52 | 0.57 | 2.85 | 0.63 | 0.00 | 0.00 | 0.74 |
| time (sec) |
N/A | 0.382 | 0.249 | 4.327 | 0.526 | 0.284 | 0.000 | 0.000 | 16.130 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 227 | 227 | 191 | 479 | 5879 | 494 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.84 | 2.11 | 25.90 | 2.18 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.617 | 1.140 | 8.435 | 0.951 | 0.399 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 180 | 180 | 157 | 417 | 4606 | 458 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.87 | 2.32 | 25.59 | 2.54 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.583 | 0.734 | 8.207 | 0.687 | 0.339 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 133 | 133 | 150 | 355 | 3389 | 410 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.13 | 2.67 | 25.48 | 3.08 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.545 | 0.568 | 8.101 | 0.641 | 0.367 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 124 | 124 | 107 | 335 | 1417 | 364 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.86 | 2.70 | 11.43 | 2.94 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.364 | 1.180 | 8.019 | 0.579 | 0.348 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | B | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 125 | 125 | 109 | 213 | 314 | 368 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.87 | 1.70 | 2.51 | 2.94 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.374 | 0.481 | 8.015 | 0.517 | 0.310 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | B | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 131 | 131 | 73 | 77 | 250 | 94 | 0 | 0 | 107 |
| N.S. |
1 | 1.00 | 0.56 | 0.59 | 1.91 | 0.72 | 0.00 | 0.00 | 0.82 |
| time (sec) |
N/A | 0.302 | 0.361 | 5.249 | 0.505 | 0.276 | 0.000 | 0.000 | 15.631 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | B | A | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 181 | 181 | 92 | 101 | 514 | 113 | 0 | 0 | 131 |
| N.S. |
1 | 1.00 | 0.51 | 0.56 | 2.84 | 0.62 | 0.00 | 0.00 | 0.72 |
| time (sec) |
N/A | 0.504 | 0.319 | 5.145 | 0.538 | 0.292 | 0.000 | 0.000 | 16.244 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | B | A | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 228 | 228 | 110 | 123 | 700 | 132 | 0 | 0 | 155 |
| N.S. |
1 | 1.00 | 0.48 | 0.54 | 3.07 | 0.58 | 0.00 | 0.00 | 0.68 |
| time (sec) |
N/A | 0.632 | 0.517 | 5.104 | 0.536 | 0.299 | 0.000 | 0.000 | 17.375 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | B | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 274 | 274 | 567 | 507 | 9242 | 558 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 2.07 | 1.85 | 33.73 | 2.04 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.870 | 6.168 | 2.472 | 1.444 | 0.397 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 227 | 227 | 190 | 445 | 7331 | 518 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.84 | 1.96 | 32.30 | 2.28 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.756 | 1.014 | 8.487 | 1.073 | 0.379 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 180 | 180 | 204 | 379 | 6297 | 478 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.13 | 2.11 | 34.98 | 2.66 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.594 | 0.652 | 8.237 | 3.638 | 0.330 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 180 | 180 | 137 | 500 | 14322 | 454 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.76 | 2.78 | 79.57 | 2.52 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.787 | 1.373 | 8.691 | 3.551 | 0.343 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 177 | 177 | 133 | 578 | 12088 | 424 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.75 | 3.27 | 68.29 | 2.40 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.580 | 0.626 | 8.329 | 0.750 | 0.362 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 172 | 172 | 127 | 361 | 655 | 424 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.74 | 2.10 | 3.81 | 2.47 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.603 | 1.297 | 8.609 | 0.543 | 0.301 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | B | A | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 178 | 178 | 91 | 103 | 385 | 120 | 0 | 0 | 133 |
| N.S. |
1 | 1.00 | 0.51 | 0.58 | 2.16 | 0.67 | 0.00 | 0.00 | 0.75 |
| time (sec) |
N/A | 0.418 | 0.399 | 5.741 | 0.530 | 0.270 | 0.000 | 0.000 | 16.258 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | B | A | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 228 | 228 | 108 | 125 | 746 | 141 | 0 | 0 | 157 |
| N.S. |
1 | 1.00 | 0.47 | 0.55 | 3.27 | 0.62 | 0.00 | 0.00 | 0.69 |
| time (sec) |
N/A | 0.739 | 0.640 | 5.430 | 0.558 | 0.285 | 0.000 | 0.000 | 17.290 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | B | A | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 275 | 275 | 127 | 147 | 945 | 162 | 0 | 0 | 392 |
| N.S. |
1 | 1.00 | 0.46 | 0.53 | 3.44 | 0.59 | 0.00 | 0.00 | 1.43 |
| time (sec) |
N/A | 0.874 | 2.775 | 5.078 | 0.577 | 0.280 | 0.000 | 0.000 | 20.658 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 190 | 190 | 234 | 457 | 2524 | 617 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.23 | 2.41 | 13.28 | 3.25 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.730 | 0.540 | 6.979 | 0.616 | 0.373 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 141 | 141 | 173 | 394 | 1353 | 531 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.23 | 2.79 | 9.60 | 3.77 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.471 | 0.318 | 7.144 | 0.639 | 0.367 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 100 | 100 | 95 | 232 | 567 | 366 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.95 | 2.32 | 5.67 | 3.66 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.275 | 0.130 | 7.112 | 0.570 | 0.294 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | B | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 99 | 99 | 114 | 159 | 195 | 306 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.15 | 1.61 | 1.97 | 3.09 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.291 | 0.198 | 4.126 | 0.521 | 0.276 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 142 | 142 | 132 | 274 | 387 | 354 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.93 | 1.93 | 2.73 | 2.49 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.541 | 0.287 | 4.259 | 0.576 | 0.281 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 187 | 187 | 133 | 349 | 640 | 388 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.71 | 1.87 | 3.42 | 2.07 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.864 | 0.798 | 3.954 | 0.609 | 0.286 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 230 | 230 | 152 | 387 | 805 | 422 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.66 | 1.68 | 3.50 | 1.83 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.859 | 1.058 | 3.813 | 0.586 | 0.278 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | B | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 247 | 247 | 497 | 833 | 13364 | 761 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 2.01 | 3.37 | 54.11 | 3.08 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.944 | 3.035 | 7.368 | 1.480 | 0.389 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | B | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 197 | 197 | 429 | 771 | 7057 | 669 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 2.18 | 3.91 | 35.82 | 3.40 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.708 | 1.307 | 7.406 | 0.747 | 0.395 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | B | B | B | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 145 | 145 | 394 | 454 | 17843 | 601 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 2.72 | 3.13 | 123.06 | 4.14 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.468 | 1.203 | 7.142 | 1.046 | 0.322 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | B | B | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 107 | 107 | 354 | 319 | 16752 | 376 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 3.31 | 2.98 | 156.56 | 3.51 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.247 | 0.906 | 4.236 | 1.040 | 0.285 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 156 | 156 | 174 | 316 | 8208 | 430 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.12 | 2.03 | 52.62 | 2.76 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.516 | 1.283 | 4.183 | 0.536 | 0.292 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 203 | 203 | 173 | 450 | 41138 | 464 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.85 | 2.22 | 202.65 | 2.29 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.899 | 1.285 | 4.555 | 0.983 | 0.286 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-2) | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 250 | 250 | 171 | 485 | 0 | 500 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.68 | 1.94 | 0.00 | 2.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.092 | 1.044 | 4.123 | 0.000 | 0.309 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | B | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 246 | 246 | 603 | 1081 | 14037 | 803 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 2.45 | 4.39 | 57.06 | 3.26 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.970 | 5.104 | 8.366 | 2.899 | 0.419 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | B | B | B | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 194 | 194 | 570 | 554 | 89320 | 749 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 2.94 | 2.86 | 460.41 | 3.86 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.681 | 3.941 | 8.242 | 15.023 | 0.349 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | B | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 156 | 156 | 570 | 446 | 87207 | 498 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 3.65 | 2.86 | 559.02 | 3.19 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.329 | 3.892 | 5.314 | 15.029 | 0.282 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | B | B | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 156 | 203 | 443 | 419 | 5924 | 502 | 0 | 0 | 0 |
| N.S. |
1 | 1.30 | 2.84 | 2.69 | 37.97 | 3.22 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.718 | 6.105 | 5.006 | 0.906 | 0.290 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 203 | 203 | 206 | 364 | 261506 | 524 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.01 | 1.79 | 1288.21 | 2.58 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.935 | 1.598 | 4.912 | 3.256 | 0.289 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 250 | 250 | 193 | 586 | 407281 | 564 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.77 | 2.34 | 1629.12 | 2.26 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.195 | 1.259 | 4.878 | 5.464 | 0.283 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 297 | 297 | 196 | 641 | 387118 | 592 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.66 | 2.16 | 1303.43 | 1.99 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.122 | 1.577 | 5.457 | 6.835 | 0.300 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 406 | 406 | 4445 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 10.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.737 | 17.410 | 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 | B | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 354 | 354 | 2709 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 7.65 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.488 | 16.773 | 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 | B | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 415 | 415 | 2901 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 6.99 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.514 | 16.689 | 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 | B | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 787 | 787 | 4110 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 5.22 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.168 | 18.982 | 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 | B | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 739 | 739 | 5094 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 6.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.883 | 18.283 | 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 | B | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 764 | 764 | 4066 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 5.32 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.896 | 18.797 | 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 | B | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 197 | 197 | 4897 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 24.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.391 | 21.494 | 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 | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 164 | 164 | 111 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.68 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.269 | 0.837 | 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 | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 114 | 114 | 85 | 119 | 163 | 136 | 0 | 304 | 194 |
| N.S. |
1 | 1.00 | 0.75 | 1.04 | 1.43 | 1.19 | 0.00 | 2.67 | 1.70 |
| time (sec) |
N/A | 0.156 | 0.474 | 3.732 | 0.243 | 0.281 | 0.000 | 0.331 | 18.201 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 93 | 93 | 67 | 81 | 127 | 115 | 0 | 210 | 145 |
| N.S. |
1 | 1.00 | 0.72 | 0.87 | 1.37 | 1.24 | 0.00 | 2.26 | 1.56 |
| time (sec) |
N/A | 0.142 | 0.213 | 3.814 | 0.235 | 0.290 | 0.000 | 0.311 | 16.995 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 61 | 61 | 75 | 75 | 88 | 96 | 0 | 153 | 104 |
| N.S. |
1 | 1.00 | 1.23 | 1.23 | 1.44 | 1.57 | 0.00 | 2.51 | 1.70 |
| time (sec) |
N/A | 0.081 | 0.013 | 2.546 | 0.190 | 0.277 | 0.000 | 0.307 | 15.900 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | B | B | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 35 | 35 | 43 | 43 | 56 | 85 | 71 | 84 | 114 |
| N.S. |
1 | 1.00 | 1.23 | 1.23 | 1.60 | 2.43 | 2.03 | 2.40 | 3.26 |
| time (sec) |
N/A | 0.036 | 0.007 | 1.856 | 0.184 | 0.282 | 4.191 | 0.296 | 14.586 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 35 | 35 | 46 | 48 | 58 | 54 | 0 | 79 | 100 |
| N.S. |
1 | 1.00 | 1.31 | 1.37 | 1.66 | 1.54 | 0.00 | 2.26 | 2.86 |
| time (sec) |
N/A | 0.056 | 0.019 | 0.666 | 0.203 | 0.281 | 0.000 | 0.291 | 14.324 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 52 | 52 | 51 | 47 | 55 | 42 | 0 | 121 | 50 |
| N.S. |
1 | 1.00 | 0.98 | 0.90 | 1.06 | 0.81 | 0.00 | 2.33 | 0.96 |
| time (sec) |
N/A | 0.103 | 0.065 | 0.821 | 0.191 | 0.278 | 0.000 | 0.299 | 14.753 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 84 | 84 | 75 | 65 | 79 | 60 | 0 | 180 | 84 |
| N.S. |
1 | 1.00 | 0.89 | 0.77 | 0.94 | 0.71 | 0.00 | 2.14 | 1.00 |
| time (sec) |
N/A | 0.132 | 0.113 | 1.744 | 0.185 | 0.275 | 0.000 | 0.294 | 14.814 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 105 | 105 | 91 | 86 | 101 | 81 | 0 | 272 | 117 |
| N.S. |
1 | 1.00 | 0.87 | 0.82 | 0.96 | 0.77 | 0.00 | 2.59 | 1.11 |
| time (sec) |
N/A | 0.149 | 0.158 | 2.516 | 0.189 | 0.293 | 0.000 | 0.330 | 14.584 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 198 | 198 | 150 | 171 | 276 | 208 | 0 | 528 | 359 |
| N.S. |
1 | 1.00 | 0.76 | 0.86 | 1.39 | 1.05 | 0.00 | 2.67 | 1.81 |
| time (sec) |
N/A | 0.311 | 1.037 | 5.446 | 0.195 | 0.296 | 0.000 | 0.349 | 18.355 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 179 | 179 | 120 | 148 | 228 | 180 | 0 | 478 | 317 |
| N.S. |
1 | 1.00 | 0.67 | 0.83 | 1.27 | 1.01 | 0.00 | 2.67 | 1.77 |
| time (sec) |
N/A | 0.373 | 0.545 | 4.734 | 0.198 | 0.288 | 0.000 | 0.339 | 18.244 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 116 | 116 | 92 | 118 | 165 | 150 | 0 | 294 | 227 |
| N.S. |
1 | 1.00 | 0.79 | 1.02 | 1.42 | 1.29 | 0.00 | 2.53 | 1.96 |
| time (sec) |
N/A | 0.209 | 0.362 | 4.088 | 0.196 | 0.276 | 0.000 | 0.336 | 17.773 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 86 | 86 | 67 | 97 | 126 | 136 | 0 | 192 | 176 |
| N.S. |
1 | 1.00 | 0.78 | 1.13 | 1.47 | 1.58 | 0.00 | 2.23 | 2.05 |
| time (sec) |
N/A | 0.087 | 0.200 | 2.508 | 0.224 | 0.283 | 0.000 | 0.332 | 15.134 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 60 | 60 | 71 | 86 | 103 | 117 | 0 | 154 | 163 |
| N.S. |
1 | 1.00 | 1.18 | 1.43 | 1.72 | 1.95 | 0.00 | 2.57 | 2.72 |
| time (sec) |
N/A | 0.111 | 0.554 | 2.000 | 0.221 | 0.323 | 0.000 | 0.330 | 15.248 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 80 | 80 | 120 | 94 | 99 | 87 | 0 | 178 | 169 |
| N.S. |
1 | 1.00 | 1.50 | 1.18 | 1.24 | 1.09 | 0.00 | 2.22 | 2.11 |
| time (sec) |
N/A | 0.206 | 1.017 | 0.803 | 0.226 | 0.292 | 0.000 | 0.328 | 15.233 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 107 | 107 | 90 | 88 | 108 | 85 | 0 | 254 | 115 |
| N.S. |
1 | 1.00 | 0.84 | 0.82 | 1.01 | 0.79 | 0.00 | 2.37 | 1.07 |
| time (sec) |
N/A | 0.256 | 0.672 | 1.832 | 0.212 | 0.282 | 0.000 | 0.323 | 14.659 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 136 | 136 | 118 | 118 | 142 | 114 | 0 | 437 | 169 |
| N.S. |
1 | 1.00 | 0.87 | 0.87 | 1.04 | 0.84 | 0.00 | 3.21 | 1.24 |
| time (sec) |
N/A | 0.298 | 1.852 | 2.511 | 0.228 | 0.270 | 0.000 | 0.328 | 14.673 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-1) | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 180 | 180 | 146 | 147 | 176 | 142 | 0 | 487 | 307 |
| N.S. |
1 | 1.00 | 0.81 | 0.82 | 0.98 | 0.79 | 0.00 | 2.71 | 1.71 |
| time (sec) |
N/A | 0.304 | 1.171 | 3.575 | 0.238 | 0.281 | 0.000 | 0.343 | 17.857 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 252 | 252 | 181 | 200 | 341 | 249 | 0 | 722 | 470 |
| N.S. |
1 | 1.00 | 0.72 | 0.79 | 1.35 | 0.99 | 0.00 | 2.87 | 1.87 |
| time (sec) |
N/A | 0.537 | 2.739 | 6.414 | 0.226 | 0.287 | 0.000 | 0.370 | 18.007 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 180 | 180 | 140 | 185 | 266 | 211 | 0 | 586 | 395 |
| N.S. |
1 | 1.00 | 0.78 | 1.03 | 1.48 | 1.17 | 0.00 | 3.26 | 2.19 |
| time (sec) |
N/A | 0.374 | 0.677 | 4.845 | 0.223 | 0.277 | 0.000 | 0.354 | 18.072 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 137 | 137 | 108 | 139 | 202 | 189 | 0 | 336 | 526 |
| N.S. |
1 | 1.00 | 0.79 | 1.01 | 1.47 | 1.38 | 0.00 | 2.45 | 3.84 |
| time (sec) |
N/A | 0.210 | 0.450 | 3.971 | 0.232 | 0.309 | 0.000 | 0.354 | 16.433 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 119 | 131 | 105 | 141 | 169 | 167 | 0 | 241 | 249 |
| N.S. |
1 | 1.10 | 0.88 | 1.18 | 1.42 | 1.40 | 0.00 | 2.03 | 2.09 |
| time (sec) |
N/A | 0.253 | 0.915 | 2.872 | 0.223 | 0.278 | 0.000 | 0.353 | 15.642 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 124 | 124 | 217 | 132 | 144 | 152 | 0 | 234 | 236 |
| N.S. |
1 | 1.00 | 1.75 | 1.06 | 1.16 | 1.23 | 0.00 | 1.89 | 1.90 |
| time (sec) |
N/A | 0.348 | 2.117 | 1.807 | 0.223 | 0.273 | 0.000 | 0.349 | 15.551 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 145 | 145 | 159 | 137 | 152 | 131 | 0 | 314 | 1924 |
| N.S. |
1 | 1.00 | 1.10 | 0.94 | 1.05 | 0.90 | 0.00 | 2.17 | 13.27 |
| time (sec) |
N/A | 0.366 | 1.636 | 1.896 | 0.221 | 0.286 | 0.000 | 0.351 | 15.864 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-1) | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 179 | 179 | 140 | 139 | 171 | 136 | 0 | 536 | 202 |
| N.S. |
1 | 1.00 | 0.78 | 0.78 | 0.96 | 0.76 | 0.00 | 2.99 | 1.13 |
| time (sec) |
N/A | 0.465 | 1.411 | 2.454 | 0.225 | 0.282 | 0.000 | 0.336 | 14.928 |