Detailed conclusion table per each integral is given by the table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given as F.
In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 171 | 178 | 99 | 564 | 0 | 213 | 0 | 0 | 0 |
| N.S. |
1 | 1.04 | 0.58 | 3.30 | 0.00 | 1.25 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.697 | 0.759 | 30.594 | 0.000 | 0.120 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 136 | 144 | 87 | 538 | 0 | 186 | 0 | 0 | 0 |
| N.S. |
1 | 1.06 | 0.64 | 3.96 | 0.00 | 1.37 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.550 | 0.476 | 23.262 | 0.000 | 0.110 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 104 | 111 | 73 | 470 | 0 | 140 | 0 | 0 | 0 |
| N.S. |
1 | 1.07 | 0.70 | 4.52 | 0.00 | 1.35 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.511 | 0.342 | 20.630 | 0.000 | 0.105 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 82 | 82 | 54 | 408 | 0 | 122 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.66 | 4.98 | 0.00 | 1.49 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.396 | 0.324 | 17.616 | 0.000 | 0.092 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 116 | 117 | 86 | 595 | 0 | 150 | 0 | 0 | 0 |
| N.S. |
1 | 1.01 | 0.74 | 5.13 | 0.00 | 1.29 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.521 | 0.403 | 12.002 | 0.000 | 0.100 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 147 | 152 | 88 | 568 | 0 | 164 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 0.60 | 3.86 | 0.00 | 1.12 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.568 | 0.684 | 16.662 | 0.000 | 0.102 | 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 | 119 | 118 | 90 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.99 | 0.76 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.514 | 0.216 | 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 | 116 | 118 | 91 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 0.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.467 | 0.098 | 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 | 112 | 112 | 88 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.408 | 0.076 | 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(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 115 | 114 | 88 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.99 | 0.77 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.458 | 0.080 | 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(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 119 | 118 | 88 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.99 | 0.74 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.488 | 0.122 | 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 | 119 | 118 | 90 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.99 | 0.76 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.527 | 0.236 | 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 | 116 | 118 | 91 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 0.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.478 | 0.126 | 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 | 112 | 112 | 88 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.417 | 0.095 | 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(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 115 | 114 | 87 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.99 | 0.76 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.466 | 0.097 | 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(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 119 | 118 | 88 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.99 | 0.74 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.478 | 0.083 | 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 | 116 | 90 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.99 | 0.77 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.453 | 0.199 | 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 | 114 | 116 | 90 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 0.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.424 | 0.085 | 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 | 114 | 114 | 87 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.76 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.396 | 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 | A | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 114 | 116 | 90 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 0.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.418 | 0.002 | 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 | 116 | 90 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.99 | 0.77 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.427 | 0.008 | 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 | 116 | 91 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.99 | 0.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.430 | 0.191 | 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 | 114 | 116 | 91 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 0.80 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.446 | 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 | A | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 114 | 114 | 87 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.76 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.393 | 0.122 | 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 | 114 | 116 | 91 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 0.80 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.410 | 0.003 | 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 | 116 | 91 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.99 | 0.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.428 | 0.001 | 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(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 167 | 171 | 140 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 0.84 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.544 | 0.311 | 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 | 165 | 170 | 140 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 0.85 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.560 | 0.182 | 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 | A | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 165 | 170 | 140 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 0.85 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.548 | 0.215 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 165 | 170 | 140 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 0.85 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.546 | 0.200 | 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 | 165 | 170 | 140 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 0.85 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.522 | 0.191 | 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 | 173 | 173 | 140 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.81 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.543 | 0.255 | 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 | 172 | 176 | 126 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 0.73 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.538 | 0.174 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 143 | 142 | 119 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.99 | 0.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.524 | 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 | A | A | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 136 | 138 | 119 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.01 | 0.88 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.482 | 0.186 | 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 | 137 | 137 | 107 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.440 | 0.125 | 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 | 151 | 150 | 107 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.99 | 0.71 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.507 | 0.131 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 153 | 152 | 114 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.99 | 0.75 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.527 | 0.228 | 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(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 163 | 168 | 140 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 0.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.569 | 0.236 | 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 | 163 | 168 | 140 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 0.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.518 | 0.184 | 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 | 163 | 168 | 135 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 0.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.531 | 0.270 | 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 | 163 | 168 | 140 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 0.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.547 | 0.249 | 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 | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 134 | 129 | 87 | 117 | 200 | 137 | 0 | 214 | 198 |
| N.S. |
1 | 0.96 | 0.65 | 0.87 | 1.49 | 1.02 | 0.00 | 1.60 | 1.48 |
| time (sec) |
N/A | 0.720 | 0.570 | 3.818 | 0.216 | 0.296 | 0.000 | 0.307 | 16.305 |
| 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 | 106 | 102 | 77 | 119 | 163 | 127 | 0 | 188 | 166 |
| N.S. |
1 | 0.96 | 0.73 | 1.12 | 1.54 | 1.20 | 0.00 | 1.77 | 1.57 |
| time (sec) |
N/A | 0.598 | 0.305 | 3.107 | 0.220 | 0.278 | 0.000 | 0.315 | 16.217 |
| 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 | 86 | 87 | 56 | 81 | 127 | 105 | 0 | 154 | 126 |
| N.S. |
1 | 1.01 | 0.65 | 0.94 | 1.48 | 1.22 | 0.00 | 1.79 | 1.47 |
| time (sec) |
N/A | 0.565 | 0.255 | 3.419 | 0.213 | 0.283 | 0.000 | 0.296 | 15.443 |
| 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 | 56 | 59 | 75 | 75 | 88 | 89 | 0 | 124 | 94 |
| N.S. |
1 | 1.05 | 1.34 | 1.34 | 1.57 | 1.59 | 0.00 | 2.21 | 1.68 |
| time (sec) |
N/A | 0.437 | 0.013 | 2.236 | 0.215 | 0.281 | 0.000 | 0.291 | 14.325 |
| 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 | 32 | 32 | 43 | 43 | 56 | 79 | 71 | 84 | 100 |
| N.S. |
1 | 1.00 | 1.34 | 1.34 | 1.75 | 2.47 | 2.22 | 2.62 | 3.12 |
| time (sec) |
N/A | 0.298 | 0.010 | 1.953 | 0.223 | 0.299 | 4.055 | 0.287 | 14.147 |
| 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 | 32 | 32 | 46 | 48 | 58 | 51 | 0 | 79 | 100 |
| N.S. |
1 | 1.00 | 1.44 | 1.50 | 1.81 | 1.59 | 0.00 | 2.47 | 3.12 |
| time (sec) |
N/A | 0.251 | 0.017 | 0.666 | 0.208 | 0.284 | 0.000 | 0.282 | 13.695 |
| 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 | 47 | 50 | 44 | 42 | 55 | 38 | 0 | 93 | 50 |
| N.S. |
1 | 1.06 | 0.94 | 0.89 | 1.17 | 0.81 | 0.00 | 1.98 | 1.06 |
| time (sec) |
N/A | 0.392 | 0.066 | 0.708 | 0.214 | 0.275 | 0.000 | 0.272 | 13.518 |
| 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 | 77 | 78 | 65 | 54 | 79 | 56 | 0 | 124 | 84 |
| N.S. |
1 | 1.01 | 0.84 | 0.70 | 1.03 | 0.73 | 0.00 | 1.61 | 1.09 |
| time (sec) |
N/A | 0.460 | 0.125 | 1.521 | 0.211 | 0.291 | 0.000 | 0.285 | 13.619 |
| 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 | 97 | 93 | 75 | 67 | 101 | 74 | 0 | 156 | 184 |
| N.S. |
1 | 0.96 | 0.77 | 0.69 | 1.04 | 0.76 | 0.00 | 1.61 | 1.90 |
| time (sec) |
N/A | 0.495 | 0.167 | 2.439 | 0.214 | 0.289 | 0.000 | 0.298 | 16.217 |
| 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 | 125 | 120 | 77 | 87 | 124 | 88 | 0 | 184 | 212 |
| N.S. |
1 | 0.96 | 0.62 | 0.70 | 0.99 | 0.70 | 0.00 | 1.47 | 1.70 |
| time (sec) |
N/A | 0.597 | 0.326 | 3.297 | 0.226 | 0.300 | 0.000 | 0.290 | 16.308 |
| 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 | 169 | 160 | 101 | 173 | 278 | 165 | 0 | 246 | 224 |
| N.S. |
1 | 0.95 | 0.60 | 1.02 | 1.64 | 0.98 | 0.00 | 1.46 | 1.33 |
| time (sec) |
N/A | 0.918 | 1.739 | 4.282 | 0.219 | 0.298 | 0.000 | 0.309 | 16.342 |
| 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 | 138 | 137 | 85 | 150 | 230 | 145 | 0 | 212 | 183 |
| N.S. |
1 | 0.99 | 0.62 | 1.09 | 1.67 | 1.05 | 0.00 | 1.54 | 1.33 |
| time (sec) |
N/A | 0.851 | 0.842 | 3.883 | 0.232 | 0.282 | 0.000 | 0.314 | 16.072 |
| 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 | 103 | 92 | 63 | 120 | 167 | 125 | 0 | 178 | 145 |
| N.S. |
1 | 0.89 | 0.61 | 1.17 | 1.62 | 1.21 | 0.00 | 1.73 | 1.41 |
| time (sec) |
N/A | 0.589 | 0.692 | 3.504 | 0.230 | 0.282 | 0.000 | 0.319 | 15.486 |
| 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 | 82 | 82 | 53 | 99 | 128 | 119 | 0 | 154 | 162 |
| N.S. |
1 | 1.00 | 0.65 | 1.21 | 1.56 | 1.45 | 0.00 | 1.88 | 1.98 |
| time (sec) |
N/A | 0.477 | 0.497 | 2.197 | 0.221 | 0.280 | 0.000 | 0.294 | 13.833 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | A | A | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 73 | 73 | 258 | 88 | 105 | 108 | 0 | 157 | 161 |
| N.S. |
1 | 1.00 | 3.53 | 1.21 | 1.44 | 1.48 | 0.00 | 2.15 | 2.21 |
| time (sec) |
N/A | 0.421 | 2.475 | 1.523 | 0.225 | 0.283 | 0.000 | 0.308 | 13.614 |
| 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 | 88 | 88 | 96 | 73 | 101 | 79 | 0 | 145 | 141 |
| N.S. |
1 | 1.00 | 1.09 | 0.83 | 1.15 | 0.90 | 0.00 | 1.65 | 1.60 |
| time (sec) |
N/A | 0.443 | 0.483 | 0.699 | 0.232 | 0.285 | 0.000 | 0.305 | 13.852 |
| 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 | 102 | 91 | 84 | 60 | 110 | 70 | 0 | 142 | 98 |
| N.S. |
1 | 0.89 | 0.82 | 0.59 | 1.08 | 0.69 | 0.00 | 1.39 | 0.96 |
| time (sec) |
N/A | 0.550 | 0.342 | 1.728 | 0.226 | 0.285 | 0.000 | 0.297 | 13.509 |
| 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 | 135 | 136 | 86 | 75 | 144 | 90 | 0 | 176 | 134 |
| N.S. |
1 | 1.01 | 0.64 | 0.56 | 1.07 | 0.67 | 0.00 | 1.30 | 0.99 |
| time (sec) |
N/A | 0.748 | 0.233 | 2.297 | 0.208 | 0.278 | 0.000 | 0.295 | 13.799 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-1) | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 160 | 151 | 108 | 94 | 178 | 110 | 0 | 210 | 247 |
| N.S. |
1 | 0.94 | 0.68 | 0.59 | 1.11 | 0.69 | 0.00 | 1.31 | 1.54 |
| time (sec) |
N/A | 0.785 | 0.491 | 3.337 | 0.220 | 0.286 | 0.000 | 0.317 | 16.275 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | B | A | F | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 210 | 206 | 115 | 227 | 405 | 185 | 0 | 280 | 262 |
| N.S. |
1 | 0.98 | 0.55 | 1.08 | 1.93 | 0.88 | 0.00 | 1.33 | 1.25 |
| time (sec) |
N/A | 1.256 | 3.652 | 5.321 | 0.223 | 0.299 | 0.000 | 0.353 | 16.416 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | B | A | F | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 163 | 155 | 102 | 196 | 337 | 165 | 0 | 246 | 224 |
| N.S. |
1 | 0.95 | 0.63 | 1.20 | 2.07 | 1.01 | 0.00 | 1.51 | 1.37 |
| time (sec) |
N/A | 0.643 | 2.122 | 5.024 | 0.223 | 0.294 | 0.000 | 0.333 | 16.112 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | B | A | F | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 125 | 110 | 173 | 175 | 262 | 145 | 0 | 212 | 185 |
| N.S. |
1 | 0.88 | 1.38 | 1.40 | 2.10 | 1.16 | 0.00 | 1.70 | 1.48 |
| time (sec) |
N/A | 0.427 | 1.050 | 4.388 | 0.228 | 0.297 | 0.000 | 0.331 | 15.923 |
| 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 | 111 | 117 | 70 | 135 | 198 | 141 | 0 | 189 | 209 |
| N.S. |
1 | 1.05 | 0.63 | 1.22 | 1.78 | 1.27 | 0.00 | 1.70 | 1.88 |
| time (sec) |
N/A | 0.684 | 1.065 | 3.644 | 0.231 | 0.303 | 0.000 | 0.320 | 13.774 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | A | A | A | F | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 108 | 110 | 335 | 137 | 165 | 137 | 0 | 192 | 207 |
| N.S. |
1 | 1.02 | 3.10 | 1.27 | 1.53 | 1.27 | 0.00 | 1.78 | 1.92 |
| time (sec) |
N/A | 0.645 | 3.528 | 2.393 | 0.224 | 0.284 | 0.000 | 0.328 | 13.691 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | A | A | A | F | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 117 | 116 | 302 | 122 | 140 | 127 | 0 | 192 | 197 |
| N.S. |
1 | 0.99 | 2.58 | 1.04 | 1.20 | 1.09 | 0.00 | 1.64 | 1.68 |
| time (sec) |
N/A | 0.675 | 4.788 | 1.964 | 0.215 | 0.307 | 0.000 | 0.321 | 13.708 |
| 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 | 125 | 131 | 113 | 91 | 148 | 102 | 0 | 180 | 178 |
| N.S. |
1 | 1.05 | 0.90 | 0.73 | 1.18 | 0.82 | 0.00 | 1.44 | 1.42 |
| time (sec) |
N/A | 0.704 | 0.640 | 1.816 | 0.230 | 0.265 | 0.000 | 0.315 | 13.925 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-1) | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 124 | 109 | 102 | 78 | 167 | 90 | 0 | 176 | 134 |
| N.S. |
1 | 0.88 | 0.82 | 0.63 | 1.35 | 0.73 | 0.00 | 1.42 | 1.08 |
| time (sec) |
N/A | 0.451 | 0.426 | 2.222 | 0.209 | 0.273 | 0.000 | 0.312 | 13.817 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-1) | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 176 | 182 | 108 | 93 | 213 | 110 | 0 | 210 | 247 |
| N.S. |
1 | 1.03 | 0.61 | 0.53 | 1.21 | 0.62 | 0.00 | 1.19 | 1.40 |
| time (sec) |
N/A | 1.048 | 0.446 | 3.213 | 0.214 | 0.257 | 0.000 | 0.335 | 16.071 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-1) | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 201 | 197 | 134 | 112 | 262 | 130 | 0 | 244 | 285 |
| N.S. |
1 | 0.98 | 0.67 | 0.56 | 1.30 | 0.65 | 0.00 | 1.21 | 1.42 |
| time (sec) |
N/A | 1.108 | 0.560 | 3.738 | 0.217 | 0.301 | 0.000 | 0.328 | 16.335 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | B | A | F | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 194 | 179 | 119 | 227 | 464 | 185 | 0 | 280 | 262 |
| N.S. |
1 | 0.92 | 0.61 | 1.17 | 2.39 | 0.95 | 0.00 | 1.44 | 1.35 |
| time (sec) |
N/A | 0.668 | 6.129 | 6.174 | 0.220 | 0.285 | 0.000 | 0.357 | 16.340 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | B | A | F | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 159 | 134 | 217 | 201 | 369 | 165 | 0 | 246 | 224 |
| N.S. |
1 | 0.84 | 1.36 | 1.26 | 2.32 | 1.04 | 0.00 | 1.55 | 1.41 |
| time (sec) |
N/A | 0.455 | 5.022 | 5.375 | 0.216 | 0.287 | 0.000 | 0.362 | 16.082 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | B | A | F | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 151 | 162 | 178 | 196 | 293 | 157 | 0 | 223 | 255 |
| N.S. |
1 | 1.07 | 1.18 | 1.30 | 1.94 | 1.04 | 0.00 | 1.48 | 1.69 |
| time (sec) |
N/A | 0.920 | 4.731 | 4.378 | 0.219 | 0.282 | 0.000 | 0.344 | 13.794 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | A | A | A | F | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 151 | 159 | 1202 | 193 | 235 | 159 | 0 | 227 | 254 |
| N.S. |
1 | 1.05 | 7.96 | 1.28 | 1.56 | 1.05 | 0.00 | 1.50 | 1.68 |
| time (sec) |
N/A | 0.925 | 12.287 | 3.153 | 0.210 | 0.288 | 0.000 | 0.345 | 13.536 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | A | A | A | F | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 160 | 152 | 373 | 166 | 199 | 156 | 0 | 230 | 243 |
| N.S. |
1 | 0.95 | 2.33 | 1.04 | 1.24 | 0.98 | 0.00 | 1.44 | 1.52 |
| time (sec) |
N/A | 0.915 | 8.925 | 2.552 | 0.224 | 0.292 | 0.000 | 0.354 | 13.553 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | A | A | A | F(-1) | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 165 | 172 | 342 | 139 | 187 | 150 | 0 | 226 | 242 |
| N.S. |
1 | 1.04 | 2.07 | 0.84 | 1.13 | 0.91 | 0.00 | 1.37 | 1.47 |
| time (sec) |
N/A | 1.002 | 4.949 | 2.854 | 0.212 | 0.294 | 0.000 | 0.347 | 13.584 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-1) | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 173 | 184 | 138 | 109 | 205 | 118 | 0 | 214 | 188 |
| N.S. |
1 | 1.06 | 0.80 | 0.63 | 1.18 | 0.68 | 0.00 | 1.24 | 1.09 |
| time (sec) |
N/A | 0.978 | 1.242 | 2.600 | 0.218 | 0.283 | 0.000 | 0.343 | 13.910 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-1) | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 158 | 133 | 119 | 94 | 236 | 110 | 0 | 210 | 248 |
| N.S. |
1 | 0.84 | 0.75 | 0.59 | 1.49 | 0.70 | 0.00 | 1.33 | 1.57 |
| time (sec) |
N/A | 0.487 | 0.666 | 3.157 | 0.221 | 0.275 | 0.000 | 0.340 | 16.230 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-1) | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 220 | 231 | 134 | 113 | 297 | 130 | 0 | 244 | 286 |
| N.S. |
1 | 1.05 | 0.61 | 0.51 | 1.35 | 0.59 | 0.00 | 1.11 | 1.30 |
| time (sec) |
N/A | 1.419 | 0.364 | 3.977 | 0.222 | 0.285 | 0.000 | 0.340 | 16.135 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-1) | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 241 | 242 | 156 | 128 | 356 | 150 | 0 | 278 | 323 |
| N.S. |
1 | 1.00 | 0.65 | 0.53 | 1.48 | 0.62 | 0.00 | 1.15 | 1.34 |
| time (sec) |
N/A | 1.463 | 0.458 | 4.610 | 0.216 | 0.289 | 0.000 | 0.345 | 15.668 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | B | A | F | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 131 | 116 | 111 | 167 | 368 | 170 | 0 | 182 | 152 |
| N.S. |
1 | 0.89 | 0.85 | 1.27 | 2.81 | 1.30 | 0.00 | 1.39 | 1.16 |
| time (sec) |
N/A | 0.699 | 1.345 | 0.867 | 0.223 | 0.280 | 0.000 | 0.290 | 13.846 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | B | A | F | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 108 | 102 | 84 | 122 | 282 | 156 | 0 | 156 | 119 |
| N.S. |
1 | 0.94 | 0.78 | 1.13 | 2.61 | 1.44 | 0.00 | 1.44 | 1.10 |
| time (sec) |
N/A | 0.648 | 0.562 | 0.846 | 0.223 | 0.289 | 0.000 | 0.312 | 13.578 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | B | B | F | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 62 | 63 | 47 | 93 | 196 | 127 | 0 | 109 | 79 |
| N.S. |
1 | 1.02 | 0.76 | 1.50 | 3.16 | 2.05 | 0.00 | 1.76 | 1.27 |
| time (sec) |
N/A | 0.494 | 0.521 | 0.821 | 0.219 | 0.281 | 0.000 | 0.299 | 13.665 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | A | B | A | F | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 43 | 43 | 109 | 53 | 99 | 74 | 0 | 70 | 41 |
| N.S. |
1 | 1.00 | 2.53 | 1.23 | 2.30 | 1.72 | 0.00 | 1.63 | 0.95 |
| time (sec) |
N/A | 0.367 | 0.794 | 0.712 | 0.218 | 0.286 | 0.000 | 0.289 | 13.692 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | A | B | A | F | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 35 | 35 | 72 | 28 | 73 | 44 | 0 | 44 | 32 |
| N.S. |
1 | 1.00 | 2.06 | 0.80 | 2.09 | 1.26 | 0.00 | 1.26 | 0.91 |
| time (sec) |
N/A | 0.295 | 0.381 | 0.652 | 0.298 | 0.274 | 0.000 | 0.278 | 13.613 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | B | A | F | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 60 | 61 | 76 | 43 | 143 | 63 | 0 | 79 | 65 |
| N.S. |
1 | 1.02 | 1.27 | 0.72 | 2.38 | 1.05 | 0.00 | 1.32 | 1.08 |
| time (sec) |
N/A | 0.431 | 0.734 | 0.902 | 0.298 | 0.282 | 0.000 | 0.288 | 13.659 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | A | B | A | F | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 98 | 91 | 197 | 61 | 225 | 81 | 0 | 123 | 107 |
| N.S. |
1 | 0.93 | 2.01 | 0.62 | 2.30 | 0.83 | 0.00 | 1.26 | 1.09 |
| time (sec) |
N/A | 0.520 | 1.525 | 0.886 | 0.300 | 0.271 | 0.000 | 0.282 | 13.861 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | A | B | A | F | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 122 | 109 | 249 | 78 | 310 | 97 | 0 | 151 | 138 |
| N.S. |
1 | 0.89 | 2.04 | 0.64 | 2.54 | 0.80 | 0.00 | 1.24 | 1.13 |
| time (sec) |
N/A | 0.556 | 1.857 | 1.077 | 0.309 | 0.278 | 0.000 | 0.285 | 14.823 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | B | A | F | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 179 | 169 | 155 | 196 | 425 | 245 | 0 | 226 | 202 |
| N.S. |
1 | 0.94 | 0.87 | 1.09 | 2.37 | 1.37 | 0.00 | 1.26 | 1.13 |
| time (sec) |
N/A | 1.046 | 1.098 | 0.929 | 0.229 | 0.279 | 0.000 | 0.310 | 13.569 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | B | A | F | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 156 | 154 | 130 | 160 | 336 | 228 | 0 | 198 | 166 |
| N.S. |
1 | 0.99 | 0.83 | 1.03 | 2.15 | 1.46 | 0.00 | 1.27 | 1.06 |
| time (sec) |
N/A | 0.984 | 1.499 | 0.931 | 0.223 | 0.279 | 0.000 | 0.323 | 13.599 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | B | A | F | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 108 | 117 | 119 | 126 | 244 | 195 | 0 | 151 | 120 |
| N.S. |
1 | 1.08 | 1.10 | 1.17 | 2.26 | 1.81 | 0.00 | 1.40 | 1.11 |
| time (sec) |
N/A | 0.802 | 0.904 | 0.768 | 0.248 | 0.287 | 0.000 | 0.301 | 13.483 |
| 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 | 79 | 82 | 57 | 74 | 145 | 129 | 0 | 112 | 74 |
| N.S. |
1 | 1.04 | 0.72 | 0.94 | 1.84 | 1.63 | 0.00 | 1.42 | 0.94 |
| time (sec) |
N/A | 0.593 | 0.307 | 0.645 | 0.246 | 0.281 | 0.000 | 0.300 | 13.672 |
| 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 | 65 | 64 | 76 | 42 | 93 | 58 | 0 | 60 | 45 |
| N.S. |
1 | 0.98 | 1.17 | 0.65 | 1.43 | 0.89 | 0.00 | 0.92 | 0.69 |
| time (sec) |
N/A | 0.345 | 0.778 | 0.608 | 0.209 | 0.265 | 0.000 | 0.299 | 13.579 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | A | A | A | F | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 70 | 74 | 153 | 49 | 120 | 94 | 0 | 85 | 65 |
| N.S. |
1 | 1.06 | 2.19 | 0.70 | 1.71 | 1.34 | 0.00 | 1.21 | 0.93 |
| time (sec) |
N/A | 0.461 | 0.597 | 0.671 | 0.292 | 0.280 | 0.000 | 0.275 | 13.573 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | B | A | F | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 98 | 106 | 103 | 73 | 191 | 123 | 0 | 121 | 109 |
| N.S. |
1 | 1.08 | 1.05 | 0.74 | 1.95 | 1.26 | 0.00 | 1.23 | 1.11 |
| time (sec) |
N/A | 0.685 | 1.158 | 0.970 | 0.310 | 0.261 | 0.000 | 0.290 | 13.584 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | A | B | A | F | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 143 | 142 | 315 | 88 | 283 | 138 | 0 | 164 | 154 |
| N.S. |
1 | 0.99 | 2.20 | 0.62 | 1.98 | 0.97 | 0.00 | 1.15 | 1.08 |
| time (sec) |
N/A | 0.825 | 1.960 | 1.040 | 0.349 | 0.283 | 0.000 | 0.285 | 13.653 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | A | B | A | F | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 170 | 162 | 369 | 106 | 372 | 157 | 0 | 192 | 187 |
| N.S. |
1 | 0.95 | 2.17 | 0.62 | 2.19 | 0.92 | 0.00 | 1.13 | 1.10 |
| time (sec) |
N/A | 0.875 | 2.031 | 1.012 | 0.299 | 0.280 | 0.000 | 0.286 | 13.860 |
| 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 | 202 | 209 | 153 | 175 | 377 | 295 | 0 | 233 | 216 |
| N.S. |
1 | 1.03 | 0.76 | 0.87 | 1.87 | 1.46 | 0.00 | 1.15 | 1.07 |
| time (sec) |
N/A | 1.374 | 2.787 | 0.992 | 0.223 | 0.275 | 0.000 | 0.344 | 13.647 |
| 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 | 156 | 173 | 143 | 145 | 286 | 256 | 0 | 186 | 168 |
| N.S. |
1 | 1.11 | 0.92 | 0.93 | 1.83 | 1.64 | 0.00 | 1.19 | 1.08 |
| time (sec) |
N/A | 1.148 | 1.345 | 0.972 | 0.216 | 0.285 | 0.000 | 0.329 | 13.738 |