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 | B | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 73 | 73 | 2951 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 40.42 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.263 | 6.181 | 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 | 73 | 73 | 3003 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 41.14 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.275 | 6.200 | 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 | 117 | 117 | 85 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.73 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.445 | 0.498 | 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 | 64 | 64 | 67 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.05 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.247 | 0.066 | 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 | 73 | 73 | 2951 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 40.42 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.256 | 6.177 | 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 | 73 | 73 | 3003 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 41.14 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.271 | 6.182 | 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(-1) | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 177 | 173 | 400 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.98 | 2.26 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.776 | 3.583 | 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 | 108 | 108 | 86 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.80 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.469 | 0.445 | 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 | 48 | 48 | 51 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.06 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.263 | 0.105 | 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 | 61 | 61 | 2964 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 48.59 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.393 | 6.213 | 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 | 67 | 67 | 2992 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 44.66 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.405 | 6.245 | 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 | 130 | 130 | 88 | 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 | 0.514 | 0.505 | 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 | 70 | 70 | 71 | 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 | 0.275 | 0.146 | 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 | 75 | 75 | 2977 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 39.69 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.384 | 6.234 | 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 | 78 | 78 | 3005 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 38.53 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.389 | 6.250 | 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 | 130 | 130 | 88 | 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 | 0.525 | 0.477 | 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 | 70 | 70 | 71 | 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 | 0.272 | 0.142 | 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 | 75 | 75 | 2977 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 39.69 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.374 | 6.229 | 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 | 78 | 78 | 3005 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 38.53 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.389 | 6.254 | 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(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 178 | 174 | 419 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.98 | 2.35 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.781 | 8.956 | 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 | 108 | 108 | 316 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 2.93 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.491 | 3.323 | 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 | 47 | 47 | 50 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.06 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.273 | 0.250 | 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 | F | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 58 | 58 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.423 | 0.000 | 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 | F | F | F | F | F | F(-2) | F(-1) |
| verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 64 | 64 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.444 | 0.000 | 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 | 130 | 130 | 302 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 2.32 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.519 | 2.734 | 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 | 69 | 69 | 68 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.99 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.272 | 0.351 | 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 | 130 | 130 | 316 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 2.43 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.528 | 1.464 | 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 | 69 | 69 | 70 | 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 | 0.279 | 0.316 | 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 | 72 | 72 | 2246 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 31.19 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.264 | 14.550 | 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 | 89 | 89 | 255 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 2.87 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.268 | 3.222 | 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 | 88 | 88 | 2248 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 25.55 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.354 | 6.296 | 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 | F | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 90 | 90 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.383 | 0.000 | 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 | 85 | 85 | 2248 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 26.45 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.252 | 6.242 | 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 | 70 | 70 | 257 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 3.67 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.254 | 0.335 | 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 | 87 | 87 | 2250 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 25.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.371 | 6.308 | 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 | F | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 87 | 87 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.368 | 0.000 | 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 | 79 | 79 | 2248 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 28.46 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.261 | 6.241 | 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 | 79 | 79 | 257 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 3.25 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.257 | 0.326 | 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 | 95 | 95 | 2250 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 23.68 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.370 | 6.316 | 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 | F | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 96 | 96 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.360 | 0.000 | 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 | 211 | 209 | 154 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.99 | 0.73 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.026 | 1.486 | 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 | 155 | 157 | 123 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.01 | 0.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.694 | 0.683 | 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 | 107 | 107 | 95 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.463 | 0.227 | 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 | 73 | 73 | 73 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.321 | 0.118 | 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 | 83 | 83 | 711 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 8.57 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.306 | 7.360 | 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 | 84 | 84 | 3781 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 45.01 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.346 | 17.472 | 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(-1) | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 98 | 98 | 2529 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 25.81 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.404 | 17.668 | 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 | 96 | 96 | 2225 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 23.18 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.370 | 16.985 | 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 | 96 | 96 | 2424 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 25.25 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.399 | 19.209 | 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 | 98 | 98 | 3349 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 34.17 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.421 | 22.329 | 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 | A | F | C | F(-1) | F | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 111 | 117 | 490 | 270 | 0 | 148 | 0 | 0 | 87 |
| N.S. |
1 | 1.05 | 4.41 | 2.43 | 0.00 | 1.33 | 0.00 | 0.00 | 0.78 |
| time (sec) |
N/A | 0.559 | 6.093 | 9.436 | 0.000 | 0.103 | 0.000 | 0.000 | 13.779 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F(-1) | F | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 87 | 89 | 232 | 219 | 0 | 137 | 0 | 0 | 80 |
| N.S. |
1 | 1.02 | 2.67 | 2.52 | 0.00 | 1.57 | 0.00 | 0.00 | 0.92 |
| time (sec) |
N/A | 0.456 | 5.654 | 6.557 | 0.000 | 0.098 | 0.000 | 0.000 | 13.511 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F(-1) | F | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 61 | 62 | 222 | 225 | 0 | 125 | 0 | 0 | 53 |
| N.S. |
1 | 1.02 | 3.64 | 3.69 | 0.00 | 2.05 | 0.00 | 0.00 | 0.87 |
| time (sec) |
N/A | 0.419 | 4.887 | 6.245 | 0.000 | 0.094 | 0.000 | 0.000 | 13.745 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 35 | 35 | 155 | 150 | 0 | 107 | 0 | 0 | 27 |
| N.S. |
1 | 1.00 | 4.43 | 4.29 | 0.00 | 3.06 | 0.00 | 0.00 | 0.77 |
| time (sec) |
N/A | 0.343 | 1.902 | 4.407 | 0.000 | 0.092 | 0.000 | 0.000 | 0.205 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F | F | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 57 | 58 | 209 | 148 | 0 | 156 | 0 | 0 | 60 |
| N.S. |
1 | 1.02 | 3.67 | 2.60 | 0.00 | 2.74 | 0.00 | 0.00 | 1.05 |
| time (sec) |
N/A | 0.412 | 4.980 | 5.284 | 0.000 | 0.089 | 0.000 | 0.000 | 13.268 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 83 | 85 | 444 | 368 | 0 | 175 | 0 | 0 | 87 |
| N.S. |
1 | 1.02 | 5.35 | 4.43 | 0.00 | 2.11 | 0.00 | 0.00 | 1.05 |
| time (sec) |
N/A | 0.451 | 6.128 | 8.099 | 0.000 | 0.097 | 0.000 | 0.000 | 14.233 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F(-1) | F | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 111 | 113 | 477 | 384 | 0 | 188 | 0 | 0 | 87 |
| N.S. |
1 | 1.02 | 4.30 | 3.46 | 0.00 | 1.69 | 0.00 | 0.00 | 0.78 |
| time (sec) |
N/A | 0.548 | 6.178 | 10.769 | 0.000 | 0.106 | 0.000 | 0.000 | 13.992 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F(-1) | F | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 135 | 141 | 294 | 437 | 0 | 199 | 0 | 0 | 87 |
| N.S. |
1 | 1.04 | 2.18 | 3.24 | 0.00 | 1.47 | 0.00 | 0.00 | 0.64 |
| time (sec) |
N/A | 0.581 | 5.210 | 12.171 | 0.000 | 0.108 | 0.000 | 0.000 | 14.083 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F(-1) | F | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 147 | 212 | 548 | 260 | 0 | 175 | 0 | 0 | 136 |
| N.S. |
1 | 1.44 | 3.73 | 1.77 | 0.00 | 1.19 | 0.00 | 0.00 | 0.93 |
| time (sec) |
N/A | 1.291 | 7.192 | 12.285 | 0.000 | 0.102 | 0.000 | 0.000 | 14.277 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F(-1) | F | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 121 | 184 | 516 | 272 | 0 | 162 | 0 | 0 | 129 |
| N.S. |
1 | 1.52 | 4.26 | 2.25 | 0.00 | 1.34 | 0.00 | 0.00 | 1.07 |
| time (sec) |
N/A | 1.140 | 6.938 | 10.937 | 0.000 | 0.099 | 0.000 | 0.000 | 13.612 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F(-1) | F | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 95 | 156 | 235 | 250 | 0 | 149 | 0 | 0 | 104 |
| N.S. |
1 | 1.64 | 2.47 | 2.63 | 0.00 | 1.57 | 0.00 | 0.00 | 1.09 |
| time (sec) |
N/A | 0.978 | 6.733 | 8.385 | 0.000 | 0.101 | 0.000 | 0.000 | 13.473 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F(-1) | F | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 67 | 128 | 224 | 228 | 0 | 134 | 0 | 0 | 59 |
| N.S. |
1 | 1.91 | 3.34 | 3.40 | 0.00 | 2.00 | 0.00 | 0.00 | 0.88 |
| time (sec) |
N/A | 0.784 | 6.231 | 4.191 | 0.000 | 0.104 | 0.000 | 0.000 | 13.529 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 44 | 85 | 112 | 185 | 0 | 97 | 0 | 0 | 82 |
| N.S. |
1 | 1.93 | 2.55 | 4.20 | 0.00 | 2.20 | 0.00 | 0.00 | 1.86 |
| time (sec) |
N/A | 0.589 | 0.422 | 5.456 | 0.000 | 0.098 | 0.000 | 0.000 | 14.285 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 91 | 152 | 111 | 371 | 0 | 187 | 0 | 0 | 109 |
| N.S. |
1 | 1.67 | 1.22 | 4.08 | 0.00 | 2.05 | 0.00 | 0.00 | 1.20 |
| time (sec) |
N/A | 0.905 | 0.366 | 8.503 | 0.000 | 0.100 | 0.000 | 0.000 | 14.353 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 121 | 180 | 114 | 386 | 0 | 202 | 0 | 0 | 114 |
| N.S. |
1 | 1.49 | 0.94 | 3.19 | 0.00 | 1.67 | 0.00 | 0.00 | 0.94 |
| time (sec) |
N/A | 1.029 | 0.484 | 9.692 | 0.000 | 0.107 | 0.000 | 0.000 | 14.150 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 147 | 208 | 114 | 439 | 0 | 215 | 0 | 0 | 114 |
| N.S. |
1 | 1.41 | 0.78 | 2.99 | 0.00 | 1.46 | 0.00 | 0.00 | 0.78 |
| time (sec) |
N/A | 1.251 | 0.636 | 12.845 | 0.000 | 0.097 | 0.000 | 0.000 | 14.355 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 147 | 208 | 548 | 260 | 0 | 175 | 0 | 0 | 206 |
| N.S. |
1 | 1.41 | 3.73 | 1.77 | 0.00 | 1.19 | 0.00 | 0.00 | 1.40 |
| time (sec) |
N/A | 0.556 | 7.341 | 22.336 | 0.000 | 0.107 | 0.000 | 0.000 | 14.624 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F(-1) | F | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 121 | 182 | 245 | 272 | 0 | 162 | 0 | 0 | 143 |
| N.S. |
1 | 1.50 | 2.02 | 2.25 | 0.00 | 1.34 | 0.00 | 0.00 | 1.18 |
| time (sec) |
N/A | 0.519 | 5.785 | 22.638 | 0.000 | 0.100 | 0.000 | 0.000 | 14.805 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F(-1) | F | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 91 | 152 | 233 | 250 | 0 | 148 | 0 | 0 | 104 |
| N.S. |
1 | 1.67 | 2.56 | 2.75 | 0.00 | 1.63 | 0.00 | 0.00 | 1.14 |
| time (sec) |
N/A | 0.467 | 5.353 | 19.897 | 0.000 | 0.112 | 0.000 | 0.000 | 14.266 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 91 | 152 | 146 | 172 | 0 | 180 | 0 | 0 | 104 |
| N.S. |
1 | 1.67 | 1.60 | 1.89 | 0.00 | 1.98 | 0.00 | 0.00 | 1.14 |
| time (sec) |
N/A | 0.470 | 0.391 | 6.937 | 0.000 | 0.098 | 0.000 | 0.000 | 13.785 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 91 | 152 | 139 | 371 | 0 | 187 | 0 | 0 | 126 |
| N.S. |
1 | 1.67 | 1.53 | 4.08 | 0.00 | 2.05 | 0.00 | 0.00 | 1.38 |
| time (sec) |
N/A | 0.464 | 0.347 | 8.384 | 0.000 | 0.101 | 0.000 | 0.000 | 14.240 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 117 | 178 | 138 | 386 | 0 | 200 | 0 | 0 | 154 |
| N.S. |
1 | 1.52 | 1.18 | 3.30 | 0.00 | 1.71 | 0.00 | 0.00 | 1.32 |
| time (sec) |
N/A | 0.485 | 0.475 | 10.600 | 0.000 | 0.096 | 0.000 | 0.000 | 14.126 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 147 | 208 | 140 | 439 | 0 | 215 | 0 | 0 | 145 |
| N.S. |
1 | 1.41 | 0.95 | 2.99 | 0.00 | 1.46 | 0.00 | 0.00 | 0.99 |
| time (sec) |
N/A | 0.523 | 0.672 | 12.785 | 0.000 | 0.104 | 0.000 | 0.000 | 14.242 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 128 | 193 | 314 | 229 | 0 | 208 | 0 | 0 | 0 |
| N.S. |
1 | 1.51 | 2.45 | 1.79 | 0.00 | 1.62 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.868 | 2.100 | 8.207 | 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 | 100 | 165 | 292 | 215 | 0 | 198 | 0 | 0 | 0 |
| N.S. |
1 | 1.65 | 2.92 | 2.15 | 0.00 | 1.98 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.822 | 2.053 | 6.873 | 0.000 | 0.120 | 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 | 72 | 137 | 270 | 199 | 0 | 186 | 0 | 0 | 0 |
| N.S. |
1 | 1.90 | 3.75 | 2.76 | 0.00 | 2.58 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.716 | 1.732 | 5.078 | 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 | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 70 | 136 | 262 | 198 | 0 | 184 | 0 | 0 | 0 |
| N.S. |
1 | 1.94 | 3.74 | 2.83 | 0.00 | 2.63 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.692 | 1.120 | 4.900 | 0.000 | 0.102 | 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 | 70 | 137 | 263 | 200 | 0 | 184 | 0 | 0 | 0 |
| N.S. |
1 | 1.96 | 3.76 | 2.86 | 0.00 | 2.63 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.701 | 1.277 | 3.939 | 0.000 | 0.090 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 96 | 161 | 303 | 253 | 0 | 236 | 0 | 0 | 0 |
| N.S. |
1 | 1.68 | 3.16 | 2.64 | 0.00 | 2.46 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.818 | 1.696 | 6.283 | 0.000 | 0.098 | 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 | 124 | 189 | 338 | 413 | 0 | 258 | 0 | 0 | 0 |
| N.S. |
1 | 1.52 | 2.73 | 3.33 | 0.00 | 2.08 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.881 | 3.095 | 9.173 | 0.000 | 0.098 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 160 | 235 | 148 | 283 | 0 | 288 | 0 | 0 | 0 |
| N.S. |
1 | 1.47 | 0.92 | 1.77 | 0.00 | 1.80 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.205 | 1.015 | 10.159 | 0.000 | 0.129 | 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 | 138 | 208 | 136 | 270 | 0 | 278 | 0 | 0 | 0 |
| N.S. |
1 | 1.51 | 0.99 | 1.96 | 0.00 | 2.01 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.134 | 0.665 | 8.592 | 0.000 | 0.107 | 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 | 112 | 179 | 128 | 257 | 0 | 268 | 0 | 0 | 0 |
| N.S. |
1 | 1.60 | 1.14 | 2.29 | 0.00 | 2.39 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.959 | 0.529 | 7.609 | 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 | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 109 | 180 | 114 | 257 | 0 | 268 | 0 | 0 | 0 |
| N.S. |
1 | 1.65 | 1.05 | 2.36 | 0.00 | 2.46 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.975 | 0.392 | 6.329 | 0.000 | 0.104 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 57 | 98 | 71 | 188 | 0 | 150 | 0 | 0 | 0 |
| N.S. |
1 | 1.72 | 1.25 | 3.30 | 0.00 | 2.63 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.493 | 0.306 | 5.425 | 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 | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 109 | 180 | 312 | 257 | 0 | 268 | 0 | 0 | 0 |
| N.S. |
1 | 1.65 | 2.86 | 2.36 | 0.00 | 2.46 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.965 | 4.431 | 5.575 | 0.000 | 0.095 | 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 | 136 | 203 | 342 | 405 | 0 | 318 | 0 | 0 | 0 |
| N.S. |
1 | 1.49 | 2.51 | 2.98 | 0.00 | 2.34 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.122 | 6.487 | 7.252 | 0.000 | 0.100 | 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 | 162 | 232 | 372 | 413 | 0 | 338 | 0 | 0 | 0 |
| N.S. |
1 | 1.43 | 2.30 | 2.55 | 0.00 | 2.09 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.200 | 2.458 | 11.266 | 0.000 | 0.099 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 207 | 287 | 175 | 296 | 0 | 364 | 0 | 0 | 0 |
| N.S. |
1 | 1.39 | 0.85 | 1.43 | 0.00 | 1.76 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.519 | 2.219 | 15.879 | 0.000 | 0.118 | 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 | 181 | 259 | 166 | 283 | 0 | 354 | 0 | 0 | 0 |
| N.S. |
1 | 1.43 | 0.92 | 1.56 | 0.00 | 1.96 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.492 | 1.439 | 8.740 | 0.000 | 0.117 | 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 | 155 | 231 | 157 | 270 | 0 | 344 | 0 | 0 | 0 |
| N.S. |
1 | 1.49 | 1.01 | 1.74 | 0.00 | 2.22 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.264 | 1.414 | 9.358 | 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 | 155 | 231 | 146 | 270 | 0 | 344 | 0 | 0 | 0 |
| N.S. |
1 | 1.49 | 0.94 | 1.74 | 0.00 | 2.22 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.301 | 1.109 | 8.440 | 0.000 | 0.099 | 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 | 155 | 231 | 146 | 270 | 0 | 344 | 0 | 0 | 0 |
| N.S. |
1 | 1.49 | 0.94 | 1.74 | 0.00 | 2.22 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.248 | 1.116 | 7.218 | 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(-1) | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 155 | 231 | 139 | 270 | 0 | 344 | 0 | 0 | 0 |
| N.S. |
1 | 1.49 | 0.90 | 1.74 | 0.00 | 2.22 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.270 | 2.395 | 7.969 | 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(-1) | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 155 | 231 | 603 | 268 | 0 | 344 | 0 | 0 | 0 |
| N.S. |
1 | 1.49 | 3.89 | 1.73 | 0.00 | 2.22 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.272 | 7.229 | 5.795 | 0.000 | 0.104 | 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 | 181 | 255 | 372 | 555 | 0 | 394 | 0 | 0 | 0 |
| N.S. |
1 | 1.41 | 2.06 | 3.07 | 0.00 | 2.18 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.531 | 2.501 | 9.622 | 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(-1) | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 207 | 283 | 402 | 453 | 0 | 414 | 0 | 0 | 0 |
| N.S. |
1 | 1.37 | 1.94 | 2.19 | 0.00 | 2.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.541 | 2.918 | 13.145 | 0.000 | 0.114 | 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 | 153 | 184 | 80 | 70 | 293 | 79 | 0 | 0 | 0 |
| N.S. |
1 | 1.20 | 0.52 | 0.46 | 1.92 | 0.52 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.813 | 0.154 | 1.768 | 0.394 | 0.261 | 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 | 115 | 141 | 61 | 60 | 203 | 69 | 0 | 0 | 0 |
| N.S. |
1 | 1.23 | 0.53 | 0.52 | 1.77 | 0.60 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.652 | 0.128 | 1.807 | 0.397 | 0.255 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 77 | 98 | 49 | 48 | 113 | 57 | 0 | 0 | 0 |
| N.S. |
1 | 1.27 | 0.64 | 0.62 | 1.47 | 0.74 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.493 | 0.086 | 1.790 | 0.391 | 0.271 | 0.000 | 0.000 | 0.000 |