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 | Reduce | Mupad | |
| grade |
N/A | A | C | F | F | F(-1) | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 242 | 242 | 457 | 0 | 0 | 0 | 0 | 0 | 94 | 0 |
| N.S. |
1 | 1.00 | 1.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.39 | 0.00 |
| time (sec) |
N/A | 0.347 | 1.485 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.330 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | B | A | F | F | F | F | F | F | F(-1) |
| verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 109 | 430 | 64 | 0 | 0 | 0 | 0 | 0 | 95 | 0 |
| N.S. |
1 | 3.94 | 0.59 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.87 | 0.00 |
| time (sec) |
N/A | 0.535 | 10.036 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.356 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | B | A | F | F | F | F | F | F | F(-1) |
| verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 84 | 400 | 59 | 0 | 0 | 0 | 0 | 0 | 75 | 0 |
| N.S. |
1 | 4.76 | 0.70 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.89 | 0.00 |
| time (sec) |
N/A | 0.491 | 10.032 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.291 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | B | A | F | F | F | F | F | F | F(-1) |
| verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 59 | 395 | 54 | 0 | 0 | 0 | 0 | 0 | 55 | 0 |
| N.S. |
1 | 6.69 | 0.92 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.93 | 0.00 |
| time (sec) |
N/A | 0.476 | 10.020 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.312 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | B | A | F | F | F | F | F | F | F(-1) |
| verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 52 | 367 | 47 | 0 | 0 | 0 | 0 | 0 | 35 | 0 |
| N.S. |
1 | 7.06 | 0.90 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.67 | 0.00 |
| time (sec) |
N/A | 0.435 | 10.013 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.304 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | C | F | B | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 108 | 108 | 176 | 2201 | 0 | 208 | 0 | 0 | 34 | 0 |
| N.S. |
1 | 1.00 | 1.63 | 20.38 | 0.00 | 1.93 | 0.00 | 0.00 | 0.31 | 0.00 |
| time (sec) |
N/A | 0.206 | 0.298 | 17.137 | 0.000 | 1.776 | 0.000 | 0.000 | 0.279 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | B | C | F | F | F | F | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 168 | 491 | 243 | 0 | 0 | 0 | 0 | 0 | 51 | 0 |
| N.S. |
1 | 2.92 | 1.45 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.30 | 0.00 |
| time (sec) |
N/A | 0.577 | 11.702 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.306 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | B | C | F | F | F | F | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 193 | 519 | 233 | 0 | 0 | 0 | 0 | 0 | 68 | 0 |
| N.S. |
1 | 2.69 | 1.21 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.35 | 0.00 |
| time (sec) |
N/A | 0.655 | 18.234 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.315 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | B | A | F | F | F | F | F | F | F(-1) |
| verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 98 | 427 | 57 | 0 | 0 | 0 | 0 | 0 | 95 | 0 |
| N.S. |
1 | 4.36 | 0.58 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.97 | 0.00 |
| time (sec) |
N/A | 0.516 | 10.034 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.327 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | B | A | F | F | F | F | F | F | F(-1) |
| verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 73 | 397 | 53 | 0 | 0 | 0 | 0 | 0 | 75 | 0 |
| N.S. |
1 | 5.44 | 0.73 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.03 | 0.00 |
| time (sec) |
N/A | 0.470 | 10.030 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.290 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | B | A | F | F | F | F | F | F | F(-1) |
| verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 48 | 390 | 47 | 0 | 0 | 0 | 0 | 0 | 55 | 0 |
| N.S. |
1 | 8.12 | 0.98 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.15 | 0.00 |
| time (sec) |
N/A | 0.465 | 10.018 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.275 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | B | A | F | F | F | F | F | F | F(-1) |
| verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 41 | 362 | 41 | 0 | 0 | 0 | 0 | 0 | 35 | 0 |
| N.S. |
1 | 8.83 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.85 | 0.00 |
| time (sec) |
N/A | 0.428 | 10.014 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.252 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | F | F | B | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 103 | 103 | 171 | 0 | 0 | 208 | 0 | 0 | 34 | 0 |
| N.S. |
1 | 1.00 | 1.66 | 0.00 | 0.00 | 2.02 | 0.00 | 0.00 | 0.33 | 0.00 |
| time (sec) |
N/A | 0.207 | 0.278 | 0.000 | 0.000 | 1.859 | 0.000 | 0.000 | 0.252 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | B | C | F | F | F | F | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 152 | 481 | 240 | 0 | 0 | 0 | 0 | 0 | 51 | 0 |
| N.S. |
1 | 3.16 | 1.58 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.34 | 0.00 |
| time (sec) |
N/A | 0.586 | 11.670 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.258 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | B | C | F | F | F | F | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 177 | 506 | 233 | 0 | 0 | 0 | 0 | 0 | 68 | 0 |
| N.S. |
1 | 2.86 | 1.32 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.38 | 0.00 |
| time (sec) |
N/A | 0.633 | 17.517 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.248 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | F | F | A | F | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 102 | 75 | 132 | 0 | 0 | 115 | 0 | 0 | 18 | 0 |
| N.S. |
1 | 0.74 | 1.29 | 0.00 | 0.00 | 1.13 | 0.00 | 0.00 | 0.18 | 0.00 |
| time (sec) |
N/A | 0.200 | 20.093 | 0.000 | 0.000 | 0.200 | 0.000 | 0.000 | 0.253 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | F | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 45 | 45 | 143 | 0 | 0 | 0 | 0 | 0 | 18 | 0 |
| N.S. |
1 | 1.00 | 3.18 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.40 | 0.00 |
| time (sec) |
N/A | 0.170 | 10.079 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.268 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | F | F | A | F | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 109 | 80 | 132 | 0 | 0 | 115 | 0 | 0 | 18 | 0 |
| N.S. |
1 | 0.73 | 1.21 | 0.00 | 0.00 | 1.06 | 0.00 | 0.00 | 0.17 | 0.00 |
| time (sec) |
N/A | 0.189 | 10.060 | 0.000 | 0.000 | 0.213 | 0.000 | 0.000 | 0.258 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | F | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 45 | 45 | 145 | 0 | 0 | 0 | 0 | 0 | 18 | 0 |
| N.S. |
1 | 1.00 | 3.22 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.40 | 0.00 |
| time (sec) |
N/A | 0.173 | 10.091 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.255 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | F | F | A | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 196 | 146 | 241 | 0 | 0 | 523 | 0 | 0 | 32 | 0 |
| N.S. |
1 | 0.74 | 1.23 | 0.00 | 0.00 | 2.67 | 0.00 | 0.00 | 0.16 | 0.00 |
| time (sec) |
N/A | 0.248 | 11.154 | 0.000 | 0.000 | 30.061 | 0.000 | 0.000 | 0.281 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | B | F | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 71 | 71 | 258 | 0 | 0 | 0 | 0 | 0 | 32 | 0 |
| N.S. |
1 | 1.00 | 3.63 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.45 | 0.00 |
| time (sec) |
N/A | 0.216 | 10.191 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.284 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 296 | 401 | 235 | 0 | 0 | 0 | 0 | 0 | 725 | 0 |
| N.S. |
1 | 1.35 | 0.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 2.45 | 0.00 |
| time (sec) |
N/A | 0.526 | 9.892 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 1.483 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 213 | 355 | 191 | 0 | 0 | 0 | 0 | 0 | 425 | 0 |
| N.S. |
1 | 1.67 | 0.90 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 2.00 | 0.00 |
| time (sec) |
N/A | 0.441 | 9.501 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 1.318 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 163 | 290 | 140 | 0 | 0 | 0 | 0 | 0 | 190 | 0 |
| N.S. |
1 | 1.78 | 0.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.17 | 0.00 |
| time (sec) |
N/A | 0.362 | 9.134 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.683 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | B | A | F | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 123 | 251 | 100 | 0 | 0 | 0 | 0 | 0 | 77 | 0 |
| N.S. |
1 | 2.04 | 0.81 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.63 | 0.00 |
| time (sec) |
N/A | 0.324 | 10.185 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.455 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | F | F | F(-1) | F | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 803 | 1002 | 613 | 0 | 0 | 0 | 0 | 0 | 22 | 0 |
| N.S. |
1 | 1.25 | 0.76 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.03 | 0.00 |
| time (sec) |
N/A | 1.879 | 10.844 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 200.043 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | F | F | F(-1) | F | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 863 | 994 | 641 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.15 | 0.74 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.551 | 11.298 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 10.367 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | B | C | F | F | F | F | F | F | F(-1) |
| verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 292 | 727 | 234 | 0 | 0 | 0 | 0 | 0 | 725 | 0 |
| N.S. |
1 | 2.49 | 0.80 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 2.48 | 0.00 |
| time (sec) |
N/A | 0.758 | 10.527 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 2.866 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | B | C | F | F | F | F | F | F | F(-1) |
| verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 209 | 681 | 196 | 0 | 0 | 0 | 0 | 0 | 425 | 0 |
| N.S. |
1 | 3.26 | 0.94 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 2.03 | 0.00 |
| time (sec) |
N/A | 0.622 | 10.278 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 2.451 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | B | C | F | F | F | F | F | F | F(-1) |
| verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 159 | 616 | 141 | 0 | 0 | 0 | 0 | 0 | 190 | 0 |
| N.S. |
1 | 3.87 | 0.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.19 | 0.00 |
| time (sec) |
N/A | 0.530 | 10.187 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 1.258 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | B | C | F | F | F | F | F | F | F(-1) |
| verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 119 | 577 | 119 | 0 | 0 | 0 | 0 | 0 | 78 | 0 |
| N.S. |
1 | 4.85 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.66 | 0.00 |
| time (sec) |
N/A | 0.493 | 10.079 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.699 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | F | F | F(-1) | F | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 855 | 1323 | 180 | 0 | 0 | 0 | 0 | 0 | 22 | 0 |
| N.S. |
1 | 1.55 | 0.21 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.03 | 0.00 |
| time (sec) |
N/A | 1.987 | 11.930 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 200.047 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | F | F | F(-1) | F | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 880 | 1313 | 185 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.49 | 0.21 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.922 | 11.818 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 10.235 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 370 | 444 | 286 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.20 | 0.77 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.534 | 10.848 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 2.388 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 275 | 398 | 233 | 0 | 0 | 0 | 0 | 0 | 895 | 0 |
| N.S. |
1 | 1.45 | 0.85 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 3.25 | 0.00 |
| time (sec) |
N/A | 0.475 | 10.479 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 2.044 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 207 | 333 | 175 | 0 | 0 | 0 | 0 | 0 | 453 | 0 |
| N.S. |
1 | 1.61 | 0.85 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 2.19 | 0.00 |
| time (sec) |
N/A | 0.394 | 10.277 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 1.164 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 158 | 294 | 125 | 0 | 0 | 0 | 0 | 0 | 191 | 0 |
| N.S. |
1 | 1.86 | 0.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.21 | 0.00 |
| time (sec) |
N/A | 0.350 | 10.295 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.840 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | F | F | F(-1) | F | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 936 | 1116 | 699 | 0 | 0 | 0 | 0 | 0 | 22 | 0 |
| N.S. |
1 | 1.19 | 0.75 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.02 | 0.00 |
| time (sec) |
N/A | 2.156 | 14.379 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 200.036 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | F | F | F(-1) | F | F(-2) | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 897 | 1082 | 658 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.21 | 0.73 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.821 | 12.929 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 21.393 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | B | C | F | F | F | F | F | F | F(-1) |
| verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 226 | 684 | 211 | 0 | 0 | 0 | 0 | 0 | 87 | 0 |
| N.S. |
1 | 3.03 | 0.93 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.38 | 0.00 |
| time (sec) |
N/A | 0.698 | 10.282 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.529 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | B | C | F | F | F | F | F | F | F(-1) |
| verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 155 | 636 | 165 | 0 | 0 | 0 | 0 | 0 | 61 | 0 |
| N.S. |
1 | 4.10 | 1.06 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.39 | 0.00 |
| time (sec) |
N/A | 0.570 | 10.233 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.426 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | B | C | F | F | F | F | F | F | F(-1) |
| verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 120 | 571 | 112 | 0 | 0 | 0 | 0 | 0 | 35 | 0 |
| N.S. |
1 | 4.76 | 0.93 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.29 | 0.00 |
| time (sec) |
N/A | 0.501 | 10.170 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.330 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | B | C | F | F | F | F | F | F | F(-1) |
| verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 88 | 536 | 84 | 0 | 0 | 0 | 0 | 0 | 14 | 0 |
| N.S. |
1 | 6.09 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.16 | 0.00 |
| time (sec) |
N/A | 0.461 | 10.048 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.264 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | F | F | F(-1) | F | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 733 | 725 | 178 | 0 | 0 | 0 | 0 | 0 | 34 | 0 |
| N.S. |
1 | 0.99 | 0.24 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.05 | 0.00 |
| time (sec) |
N/A | 1.265 | 11.207 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 7.321 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | F | F | F(-1) | F | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 910 | 1337 | 187 | 0 | 0 | 0 | 0 | 0 | 57 | 0 |
| N.S. |
1 | 1.47 | 0.21 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.06 | 0.00 |
| time (sec) |
N/A | 1.998 | 11.214 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.451 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | F | F | F(-1) | F | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 1075 | 1443 | 187 | 0 | 0 | 0 | 0 | 0 | 80 | 0 |
| N.S. |
1 | 1.34 | 0.17 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.07 | 0.00 |
| time (sec) |
N/A | 2.248 | 12.654 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.253 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 229 | 362 | 193 | 0 | 0 | 0 | 0 | 0 | 87 | 0 |
| N.S. |
1 | 1.58 | 0.84 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.38 | 0.00 |
| time (sec) |
N/A | 0.446 | 10.286 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.519 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 162 | 315 | 150 | 0 | 0 | 0 | 0 | 0 | 61 | 0 |
| N.S. |
1 | 1.94 | 0.93 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.38 | 0.00 |
| time (sec) |
N/A | 0.411 | 10.213 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.398 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | B | A | F | F | F | F | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 122 | 250 | 111 | 0 | 0 | 0 | 0 | 0 | 35 | 0 |
| N.S. |
1 | 2.05 | 0.91 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.29 | 0.00 |
| time (sec) |
N/A | 0.307 | 10.145 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.299 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | B | A | F | F | F | F | F | F | F(-1) |
| verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 93 | 220 | 88 | 0 | 0 | 0 | 0 | 0 | 14 | 0 |
| N.S. |
1 | 2.37 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.15 | 0.00 |
| time (sec) |
N/A | 0.273 | 10.048 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.221 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | F | F | F(-1) | F | F | F | F(-1) |
| verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 709 | 723 | 529 | 0 | 0 | 0 | 0 | 0 | 34 | 0 |
| N.S. |
1 | 1.02 | 0.75 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.05 | 0.00 |
| time (sec) |
N/A | 1.408 | 11.195 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 3.533 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | F | F | F(-1) | F | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 889 | 1019 | 652 | 0 | 0 | 0 | 0 | 0 | 57 | 0 |
| N.S. |
1 | 1.15 | 0.73 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.06 | 0.00 |
| time (sec) |
N/A | 1.689 | 12.523 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.609 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | F | F | F(-1) | F | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 1053 | 1125 | 771 | 0 | 0 | 0 | 0 | 0 | 80 | 0 |
| N.S. |
1 | 1.07 | 0.73 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.08 | 0.00 |
| time (sec) |
N/A | 1.923 | 16.221 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.309 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | B | C | F | F | F | F | F | F | F(-1) |
| verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 255 | 708 | 247 | 0 | 0 | 0 | 0 | 0 | 235 | 0 |
| N.S. |
1 | 2.78 | 0.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.92 | 0.00 |
| time (sec) |
N/A | 0.712 | 10.830 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 2.933 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | B | C | F | F | F | F | F | F | F(-1) |
| verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 207 | 661 | 177 | 0 | 0 | 0 | 0 | 0 | 172 | 0 |
| N.S. |
1 | 3.19 | 0.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.83 | 0.00 |
| time (sec) |
N/A | 0.631 | 10.291 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 1.950 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | B | C | F | F | F | F | F | F | F(-1) |
| verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 144 | 601 | 167 | 0 | 0 | 0 | 0 | 0 | 109 | 0 |
| N.S. |
1 | 4.17 | 1.16 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.76 | 0.00 |
| time (sec) |
N/A | 0.510 | 11.240 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 1.200 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | B | C | F | F | F | F | F | F | F(-1) |
| verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 119 | 580 | 100 | 0 | 0 | 0 | 0 | 0 | 51 | 0 |
| N.S. |
1 | 4.87 | 0.84 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.43 | 0.00 |
| time (sec) |
N/A | 0.492 | 10.070 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.488 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | F | F | F(-1) | F | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 914 | 1385 | 180 | 0 | 0 | 0 | 0 | 0 | 106 | 0 |
| N.S. |
1 | 1.52 | 0.20 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.12 | 0.00 |
| time (sec) |
N/A | 2.215 | 12.268 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 55.503 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | F | F | F(-1) | F | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 1055 | 1518 | 187 | 0 | 0 | 0 | 0 | 0 | 178 | 0 |
| N.S. |
1 | 1.44 | 0.18 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.17 | 0.00 |
| time (sec) |
N/A | 2.473 | 13.001 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.713 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 239 | 239 | 231 | 0 | 0 | 0 | 0 | 0 | 22 | 0 |
| N.S. |
1 | 1.00 | 0.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.09 | 0.00 |
| time (sec) |
N/A | 0.385 | 10.363 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 200.035 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | B | B | B | B | B | B | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 485 | 485 | 1197 | 7696 | 2342 | 6186 | 116059 | 13146 | 9169 | 5907 |
| N.S. |
1 | 1.00 | 2.47 | 15.87 | 4.83 | 12.75 | 239.30 | 27.11 | 18.91 | 12.18 |
| time (sec) |
N/A | 0.777 | 3.425 | 1.372 | 0.103 | 0.169 | 28.102 | 0.213 | 0.218 | 11.360 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | B | B | B | B | B | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 305 | 305 | 476 | 2338 | 1132 | 2550 | 40049 | 5388 | 3657 | 2542 |
| N.S. |
1 | 1.00 | 1.56 | 7.67 | 3.71 | 8.36 | 131.31 | 17.67 | 11.99 | 8.33 |
| time (sec) |
N/A | 0.521 | 1.314 | 1.064 | 0.075 | 0.129 | 7.740 | 0.629 | 0.196 | 7.311 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | B | B | B | B | B | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 178 | 178 | 178 | 799 | 455 | 869 | 10171 | 1716 | 1111 | 895 |
| N.S. |
1 | 1.00 | 1.00 | 4.49 | 2.56 | 4.88 | 57.14 | 9.64 | 6.24 | 5.03 |
| time (sec) |
N/A | 0.362 | 0.355 | 1.052 | 0.049 | 0.105 | 2.268 | 0.118 | 0.180 | 6.726 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | A | A | B | B | B | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 82 | 82 | 83 | 135 | 132 | 201 | 1416 | 350 | 206 | 201 |
| N.S. |
1 | 1.00 | 1.01 | 1.65 | 1.61 | 2.45 | 17.27 | 4.27 | 2.51 | 2.45 |
| time (sec) |
N/A | 0.233 | 0.110 | 0.575 | 0.039 | 0.079 | 0.634 | 0.115 | 0.189 | 6.815 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 191 | 191 | 163 | 0 | 0 | 0 | 0 | 0 | 22 | 0 |
| N.S. |
1 | 1.00 | 0.85 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.12 | 0.00 |
| time (sec) |
N/A | 0.516 | 0.438 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.189 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | F | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 432 | 396 | 339 | 0 | 0 | 0 | 0 | 0 | 49 | 0 |
| N.S. |
1 | 0.92 | 0.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.11 | 0.00 |
| time (sec) |
N/A | 0.813 | 1.126 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.219 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | F | F | F | F | F(-2) | F | F | F(-1) |
| verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 189 | 189 | 0 | 0 | 0 | 0 | 0 | 0 | 22 | 0 |
| N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.12 | 0.00 |
| time (sec) |
N/A | 0.347 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 200.031 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | F | F | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 189 | 189 | 0 | 0 | 0 | 0 | 0 | 0 | 22 | 0 |
| N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.12 | 0.00 |
| time (sec) |
N/A | 0.292 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 200.037 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 189 | 189 | 207 | 0 | 0 | 0 | 0 | 0 | 21 | 0 |
| N.S. |
1 | 1.00 | 1.10 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.11 | 0.00 |
| time (sec) |
N/A | 0.287 | 0.775 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 14.564 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 189 | 189 | 207 | 0 | 0 | 0 | 0 | 0 | 23 | 0 |
| N.S. |
1 | 1.00 | 1.10 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.12 | 0.00 |
| time (sec) |
N/A | 0.306 | 0.926 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.751 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 189 | 189 | 267 | 0 | 0 | 0 | 0 | 0 | 56 | 0 |
| N.S. |
1 | 1.00 | 1.41 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.30 | 0.00 |
| time (sec) |
N/A | 0.291 | 1.565 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 23.139 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 189 | 189 | 225 | 0 | 0 | 0 | 0 | 0 | 22 | 0 |
| N.S. |
1 | 1.00 | 1.19 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.12 | 0.00 |
| time (sec) |
N/A | 0.291 | 2.982 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 200.034 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | F | F | F | F | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 287 | 336 | 558 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.17 | 1.94 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.508 | 1.555 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.256 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | F | F | F | F | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 187 | 246 | 414 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.32 | 2.21 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.388 | 1.232 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.248 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | F | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 122 | 160 | 268 | 0 | 0 | 0 | 0 | 0 | 803 | 0 |
| N.S. |
1 | 1.31 | 2.20 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 6.58 | 0.00 |
| time (sec) |
N/A | 0.260 | 0.544 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.243 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 85 | 122 | 126 | 0 | 0 | 0 | 0 | 0 | 243 | 0 |
| N.S. |
1 | 1.44 | 1.48 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 2.86 | 0.00 |
| time (sec) |
N/A | 0.203 | 0.057 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.389 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 184 | 184 | 182 | 0 | 0 | 0 | 0 | 0 | 855 | 0 |
| N.S. |
1 | 1.00 | 0.99 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 4.65 | 0.00 |
| time (sec) |
N/A | 0.379 | 0.293 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.302 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | F | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 196 | 194 | 191 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.99 | 0.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.305 | 0.343 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.368 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | F | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 200 | 198 | 193 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.99 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.315 | 0.483 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.403 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | F | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 185 | 185 | 239 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.29 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.346 | 1.654 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 8.245 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 185 | 185 | 211 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.14 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.295 | 0.672 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 2.708 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 183 | 183 | 208 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.14 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.292 | 0.637 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 1.005 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | F | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 183 | 183 | 209 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.14 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.298 | 0.731 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 2.139 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | F | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 137 | 137 | 160 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.17 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.341 | 0.268 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.302 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | F | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 187 | 187 | 205 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.10 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.307 | 0.315 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 6.506 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | F | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 195 | 195 | 214 | 0 | 0 | 0 | 0 | 0 | 26 | 0 |
| N.S. |
1 | 1.00 | 1.10 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.13 | 0.00 |
| time (sec) |
N/A | 0.307 | 0.300 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.261 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | F | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 190 | 190 | 208 | 0 | 0 | 0 | 0 | 0 | 41 | 0 |
| N.S. |
1 | 1.00 | 1.09 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.22 | 0.00 |
| time (sec) |
N/A | 0.309 | 0.350 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.252 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | F | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 248 | 248 | 248 | 0 | 0 | 0 | 0 | 0 | 61 | 0 |
| N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.25 | 0.00 |
| time (sec) |
N/A | 0.378 | 0.536 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.228 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | F | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 332 | 332 | 294 | 0 | 0 | 0 | 0 | 0 | 81 | 0 |
| N.S. |
1 | 1.00 | 0.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.24 | 0.00 |
| time (sec) |
N/A | 0.398 | 0.379 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.209 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | F | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 442 | 456 | 399 | 0 | 0 | 0 | 0 | 0 | 101 | 0 |
| N.S. |
1 | 1.03 | 0.90 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.23 | 0.00 |
| time (sec) |
N/A | 0.585 | 0.923 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.213 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | F | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 577 | 609 | 731 | 0 | 0 | 0 | 0 | 0 | 121 | 0 |
| N.S. |
1 | 1.06 | 1.27 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.21 | 0.00 |
| time (sec) |
N/A | 0.941 | 2.955 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.220 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | F | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 809 | 842 | 1577 | 0 | 0 | 0 | 0 | 0 | 141 | 0 |
| N.S. |
1 | 1.04 | 1.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.17 | 0.00 |
| time (sec) |
N/A | 1.470 | 6.563 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.232 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | A | F | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 440 | 456 | 379 | 0 | 0 | 0 | 0 | 0 | 134 | 0 |
| N.S. |
1 | 1.04 | 0.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.30 | 0.00 |
| time (sec) |
N/A | 0.632 | 4.530 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.268 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | F | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 41 | 41 | 132 | 0 | 0 | 0 | 0 | 0 | 102 | 0 |
| N.S. |
1 | 1.00 | 3.22 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 2.49 | 0.00 |
| time (sec) |
N/A | 0.169 | 0.097 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.204 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | F | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 41 | 41 | 133 | 0 | 0 | 0 | 0 | 0 | 102 | 0 |
| N.S. |
1 | 1.00 | 3.24 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 2.49 | 0.00 |
| time (sec) |
N/A | 0.172 | 0.103 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.200 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | A | C | F | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 67 | 67 | 243 | 0 | 0 | 0 | 0 | 0 | 173 | 0 |
| N.S. |
1 | 1.00 | 3.63 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 2.58 | 0.00 |
| time (sec) |
N/A | 0.219 | 0.333 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.218 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | C | B | F | F | F | F | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 144 | 255 | 463 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.77 | 3.22 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.579 | 11.775 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 9.043 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
| grade |
N/A | C | C | F | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 140 | 255 | 372 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.82 | 2.66 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.461 | 0.985 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.387 | 0.000 |