Detailed conclusion table per each integral is given by the table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given as F.
In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | A | B | F | F | B |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 237 | 215 | 119 | 198 | 191 | 366 | 0 | 0 | 214 |
| N.S. |
1 | 0.91 | 0.50 | 0.84 | 0.81 | 1.54 | 0.00 | 0.00 | 0.90 |
| time (sec) |
N/A | 0.784 | 0.596 | 0.549 | 0.300 | 0.250 | 0.000 | 0.000 | 0.199 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | A | B | F | F | B |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 213 | 172 | 88 | 168 | 173 | 346 | 0 | 0 | 217 |
| N.S. |
1 | 0.81 | 0.41 | 0.79 | 0.81 | 1.62 | 0.00 | 0.00 | 1.02 |
| time (sec) |
N/A | 0.550 | 0.379 | 0.624 | 0.290 | 0.255 | 0.000 | 0.000 | 0.778 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | A | B | F | F | B |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 205 | 170 | 63 | 176 | 171 | 360 | 0 | 0 | 193 |
| N.S. |
1 | 0.83 | 0.31 | 0.86 | 0.83 | 1.76 | 0.00 | 0.00 | 0.94 |
| time (sec) |
N/A | 0.501 | 0.341 | 0.632 | 0.282 | 0.252 | 0.000 | 0.000 | 4.467 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | A | B | F | F | B |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 213 | 170 | 50 | 177 | 164 | 346 | 0 | 0 | 217 |
| N.S. |
1 | 0.80 | 0.23 | 0.83 | 0.77 | 1.62 | 0.00 | 0.00 | 1.02 |
| time (sec) |
N/A | 0.459 | 0.172 | 0.541 | 0.287 | 0.244 | 0.000 | 0.000 | 5.901 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | A | B | F | F | B |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 313 | 348 | 188 | 286 | 265 | 633 | 0 | 0 | 822 |
| N.S. |
1 | 1.11 | 0.60 | 0.91 | 0.85 | 2.02 | 0.00 | 0.00 | 2.63 |
| time (sec) |
N/A | 1.743 | 1.882 | 0.835 | 0.310 | 0.258 | 0.000 | 0.000 | 4.564 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | B | F | F | B |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 354 | 325 | 307 | 315 | 310 | 792 | 0 | 0 | 893 |
| N.S. |
1 | 0.92 | 0.87 | 0.89 | 0.88 | 2.24 | 0.00 | 0.00 | 2.52 |
| time (sec) |
N/A | 1.438 | 3.392 | 0.815 | 0.304 | 0.270 | 0.000 | 0.000 | 7.439 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | A | B | F | F | B |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 213 | 170 | 50 | 177 | 164 | 336 | 0 | 0 | 233 |
| N.S. |
1 | 0.80 | 0.23 | 0.83 | 0.77 | 1.58 | 0.00 | 0.00 | 1.09 |
| time (sec) |
N/A | 0.464 | 0.237 | 0.604 | 0.297 | 0.250 | 0.000 | 0.000 | 4.520 |
| 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 | 43 | 43 | 43 | 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 | 0.253 | 0.258 | 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 | 43 | 43 | 44 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.02 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.243 | 0.074 | 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 | 189 | 195 | 112 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 0.59 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.096 | 1.020 | 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 | 127 | 130 | 75 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 0.59 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.669 | 0.720 | 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 | 75 | 75 | 50 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.67 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.375 | 0.776 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 43 | 43 | 43 | 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 | 0.234 | 0.204 | 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(-2) | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 158 | 157 | 123 | 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 | 0.523 | 0.914 | 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(-2) | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 209 | 209 | 221 | 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 | 0.863 | 3.105 | 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 | A | F | F(-2) | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 274 | 286 | 231 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.04 | 0.84 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.313 | 5.141 | 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(-2) | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 326 | 350 | 444 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.07 | 1.36 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.777 | 6.647 | 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 | 43 | 43 | 44 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.02 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.234 | 0.073 | 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(-2) | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 158 | 157 | 123 | 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 | 0.534 | 0.858 | 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 | 89 | 89 | 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 | 0.317 | 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 | F(-1) |
| verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 89 | 89 | 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 | 0.315 | 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 | F(-1) |
| verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 88 | 88 | 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 | 0.309 | 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(-2) | F | F | F | F(-1) |
| verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 91 | 91 | 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 | 0.321 | 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 | F(-1) |
| verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 88 | 88 | 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 | 0.293 | 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 | 205 | 217 | 136 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.06 | 0.66 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.015 | 1.238 | 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 | 144 | 150 | 104 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.04 | 0.72 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.645 | 0.787 | 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 | 82 | 86 | 73 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.05 | 0.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.319 | 0.448 | 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 | 74 | 49 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.06 | 0.70 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.293 | 0.168 | 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 | 49 | 53 | 49 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.08 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.201 | 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 | 89 | 93 | 68 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.04 | 0.76 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.468 | 0.213 | 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 | A | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 116 | 127 | 82 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.09 | 0.71 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.678 | 0.515 | 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 | No | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 81 | 103 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.27 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.314 | 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 | F(-1) |
| verified |
N/A | No | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 81 | 103 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.27 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.322 | 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 | F(-1) |
| verified |
N/A | No | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 79 | 97 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.23 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.308 | 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 | F(-1) |
| verified |
N/A | No | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 79 | 99 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.25 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.310 | 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 | B | A | A | F | F(-1) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 115 | 122 | 117 | 318 | 134 | 227 | 0 | 0 | 144 |
| N.S. |
1 | 1.06 | 1.02 | 2.77 | 1.17 | 1.97 | 0.00 | 0.00 | 1.25 |
| time (sec) |
N/A | 0.601 | 0.914 | 1.138 | 0.330 | 0.251 | 0.000 | 0.000 | 6.529 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | A | A | F | F(-1) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 93 | 100 | 105 | 303 | 118 | 184 | 0 | 0 | 98 |
| N.S. |
1 | 1.08 | 1.13 | 3.26 | 1.27 | 1.98 | 0.00 | 0.00 | 1.05 |
| time (sec) |
N/A | 0.447 | 0.448 | 0.998 | 0.299 | 0.250 | 0.000 | 0.000 | 5.648 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | A | A | F | F(-1) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 72 | 75 | 92 | 287 | 101 | 157 | 0 | 0 | 125 |
| N.S. |
1 | 1.04 | 1.28 | 3.99 | 1.40 | 2.18 | 0.00 | 0.00 | 1.74 |
| time (sec) |
N/A | 0.331 | 0.114 | 0.913 | 0.310 | 0.241 | 0.000 | 0.000 | 5.447 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | A | A | F | F(-1) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 50 | 54 | 74 | 272 | 78 | 125 | 0 | 0 | 65 |
| N.S. |
1 | 1.08 | 1.48 | 5.44 | 1.56 | 2.50 | 0.00 | 0.00 | 1.30 |
| time (sec) |
N/A | 0.226 | 0.093 | 1.058 | 0.331 | 0.260 | 0.000 | 0.000 | 5.244 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | A | A | F | F(-1) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 74 | 77 | 64 | 293 | 97 | 191 | 0 | 0 | 84 |
| N.S. |
1 | 1.04 | 0.86 | 3.96 | 1.31 | 2.58 | 0.00 | 0.00 | 1.14 |
| time (sec) |
N/A | 0.339 | 0.137 | 0.684 | 0.311 | 0.250 | 0.000 | 0.000 | 5.862 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | A | A | F | F(-1) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 98 | 107 | 68 | 308 | 117 | 220 | 0 | 0 | 103 |
| N.S. |
1 | 1.09 | 0.69 | 3.14 | 1.19 | 2.24 | 0.00 | 0.00 | 1.05 |
| time (sec) |
N/A | 0.514 | 0.157 | 0.936 | 0.768 | 0.250 | 0.000 | 0.000 | 6.348 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | A | A | F | F(-1) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 121 | 133 | 68 | 323 | 136 | 243 | 0 | 0 | 120 |
| N.S. |
1 | 1.10 | 0.56 | 2.67 | 1.12 | 2.01 | 0.00 | 0.00 | 0.99 |
| time (sec) |
N/A | 0.663 | 0.205 | 1.086 | 0.666 | 0.249 | 0.000 | 0.000 | 7.240 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | C | F | F(-1) | B |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 269 | 261 | 187 | 187 | 210 | 262 | 0 | 0 | 125 |
| N.S. |
1 | 0.97 | 0.70 | 0.70 | 0.78 | 0.97 | 0.00 | 0.00 | 0.46 |
| time (sec) |
N/A | 0.751 | 1.338 | 0.966 | 0.386 | 0.240 | 0.000 | 0.000 | 6.289 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | C | F | F(-1) | B |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 246 | 231 | 112 | 172 | 195 | 256 | 0 | 0 | 104 |
| N.S. |
1 | 0.94 | 0.46 | 0.70 | 0.79 | 1.04 | 0.00 | 0.00 | 0.42 |
| time (sec) |
N/A | 0.630 | 1.052 | 0.906 | 0.325 | 0.273 | 0.000 | 0.000 | 5.613 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | C | F | F(-1) | B |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 244 | 235 | 175 | 170 | 192 | 225 | 0 | 0 | 104 |
| N.S. |
1 | 0.96 | 0.72 | 0.70 | 0.79 | 0.92 | 0.00 | 0.00 | 0.43 |
| time (sec) |
N/A | 0.648 | 0.548 | 1.099 | 0.333 | 0.268 | 0.000 | 0.000 | 5.222 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | C | F | F(-1) | B |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 222 | 200 | 253 | 155 | 176 | 237 | 0 | 0 | 86 |
| N.S. |
1 | 0.90 | 1.14 | 0.70 | 0.79 | 1.07 | 0.00 | 0.00 | 0.39 |
| time (sec) |
N/A | 0.546 | 6.093 | 0.839 | 0.379 | 0.260 | 0.000 | 0.000 | 5.087 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | C | F | F(-1) | B |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 222 | 206 | 184 | 159 | 175 | 269 | 0 | 0 | 86 |
| N.S. |
1 | 0.93 | 0.83 | 0.72 | 0.79 | 1.21 | 0.00 | 0.00 | 0.39 |
| time (sec) |
N/A | 0.527 | 0.457 | 0.911 | 0.341 | 0.267 | 0.000 | 0.000 | 4.981 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | C | F | F(-1) | B |
| verified |
N/A | No | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 247 | 231 | 399 | 174 | 197 | 299 | 0 | 0 | 100 |
| N.S. |
1 | 0.94 | 1.62 | 0.70 | 0.80 | 1.21 | 0.00 | 0.00 | 0.40 |
| time (sec) |
N/A | 0.626 | 5.549 | 0.926 | 0.327 | 0.266 | 0.000 | 0.000 | 5.619 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | B | A | A | F | F(-1) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 210 | 229 | 909 | 369 | 199 | 338 | 0 | 0 | 185 |
| N.S. |
1 | 1.09 | 4.33 | 1.76 | 0.95 | 1.61 | 0.00 | 0.00 | 0.88 |
| time (sec) |
N/A | 1.271 | 6.181 | 1.295 | 0.598 | 0.258 | 0.000 | 0.000 | 8.376 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | B | A | A | F | F(-1) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 186 | 203 | 847 | 354 | 180 | 303 | 0 | 0 | 176 |
| N.S. |
1 | 1.09 | 4.55 | 1.90 | 0.97 | 1.63 | 0.00 | 0.00 | 0.95 |
| time (sec) |
N/A | 1.041 | 6.147 | 0.981 | 0.620 | 0.267 | 0.000 | 0.000 | 7.824 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | B | A | A | F | F(-1) | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 160 | 179 | 380 | 339 | 163 | 257 | 0 | 0 | 143 |
| N.S. |
1 | 1.12 | 2.38 | 2.12 | 1.02 | 1.61 | 0.00 | 0.00 | 0.89 |
| time (sec) |
N/A | 0.842 | 5.499 | 0.923 | 0.472 | 0.270 | 0.000 | 0.000 | 5.860 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | B | A | A | F | F(-1) | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 138 | 153 | 360 | 323 | 144 | 217 | 0 | 0 | 137 |
| N.S. |
1 | 1.11 | 2.61 | 2.34 | 1.04 | 1.57 | 0.00 | 0.00 | 0.99 |
| time (sec) |
N/A | 0.661 | 3.561 | 0.798 | 0.318 | 0.252 | 0.000 | 0.000 | 6.098 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | B | A | A | F | F(-1) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 117 | 127 | 342 | 309 | 124 | 198 | 0 | 0 | 100 |
| N.S. |
1 | 1.09 | 2.92 | 2.64 | 1.06 | 1.69 | 0.00 | 0.00 | 0.85 |
| time (sec) |
N/A | 0.515 | 1.735 | 0.880 | 0.316 | 0.273 | 0.000 | 0.000 | 4.735 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | B | A | A | F | F(-1) | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 114 | 129 | 357 | 305 | 118 | 223 | 0 | 0 | 118 |
| N.S. |
1 | 1.13 | 3.13 | 2.68 | 1.04 | 1.96 | 0.00 | 0.00 | 1.04 |
| time (sec) |
N/A | 0.531 | 3.092 | 0.929 | 0.337 | 0.258 | 0.000 | 0.000 | 5.289 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | B | A | A | F | F(-1) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 117 | 132 | 691 | 303 | 123 | 228 | 0 | 0 | 102 |
| N.S. |
1 | 1.13 | 5.91 | 2.59 | 1.05 | 1.95 | 0.00 | 0.00 | 0.87 |
| time (sec) |
N/A | 0.582 | 6.198 | 0.959 | 0.313 | 0.267 | 0.000 | 0.000 | 5.446 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | B | A | A | F | F(-1) | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 141 | 161 | 415 | 323 | 142 | 257 | 0 | 0 | 128 |
| N.S. |
1 | 1.14 | 2.94 | 2.29 | 1.01 | 1.82 | 0.00 | 0.00 | 0.91 |
| time (sec) |
N/A | 0.764 | 5.644 | 1.097 | 0.482 | 0.266 | 0.000 | 0.000 | 6.120 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | B | A | A | F | F(-1) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 165 | 193 | 625 | 338 | 160 | 284 | 0 | 0 | 130 |
| N.S. |
1 | 1.17 | 3.79 | 2.05 | 0.97 | 1.72 | 0.00 | 0.00 | 0.79 |
| time (sec) |
N/A | 0.899 | 6.299 | 0.916 | 0.622 | 0.271 | 0.000 | 0.000 | 6.988 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | A | A | F | F(-1) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 111 | 122 | 130 | 312 | 130 | 247 | 0 | 0 | 124 |
| N.S. |
1 | 1.10 | 1.17 | 2.81 | 1.17 | 2.23 | 0.00 | 0.00 | 1.12 |
| time (sec) |
N/A | 0.841 | 0.475 | 0.852 | 0.546 | 0.270 | 0.000 | 0.000 | 4.368 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | B | A | A | F | F(-1) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 87 | 94 | 280 | 298 | 112 | 211 | 0 | 0 | 78 |
| N.S. |
1 | 1.08 | 3.22 | 3.43 | 1.29 | 2.43 | 0.00 | 0.00 | 0.90 |
| time (sec) |
N/A | 0.594 | 0.648 | 0.681 | 0.319 | 0.267 | 0.000 | 0.000 | 3.478 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | B | A | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 89 | 92 | 283 | 304 | 112 | 211 | 0 | 0 | 103 |
| N.S. |
1 | 1.03 | 3.18 | 3.42 | 1.26 | 2.37 | 0.00 | 0.00 | 1.16 |
| time (sec) |
N/A | 0.561 | 0.374 | 0.936 | 0.346 | 0.269 | 0.000 | 0.000 | 2.893 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | B | A | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 81 | 86 | 283 | 304 | 110 | 209 | 0 | 0 | 78 |
| N.S. |
1 | 1.06 | 3.49 | 3.75 | 1.36 | 2.58 | 0.00 | 0.00 | 0.96 |
| time (sec) |
N/A | 0.549 | 0.491 | 0.756 | 0.311 | 0.272 | 0.000 | 0.000 | 5.057 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | A | A | F | F(-1) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 111 | 125 | 154 | 319 | 124 | 271 | 0 | 0 | 124 |
| N.S. |
1 | 1.13 | 1.39 | 2.87 | 1.12 | 2.44 | 0.00 | 0.00 | 1.12 |
| time (sec) |
N/A | 0.846 | 0.431 | 0.654 | 0.317 | 0.278 | 0.000 | 0.000 | 5.323 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | B | A | A | F | F(-2) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 135 | 153 | 325 | 333 | 144 | 304 | 0 | 0 | 130 |
| N.S. |
1 | 1.13 | 2.41 | 2.47 | 1.07 | 2.25 | 0.00 | 0.00 | 0.96 |
| time (sec) |
N/A | 1.070 | 2.548 | 0.679 | 0.340 | 0.264 | 0.000 | 0.000 | 5.549 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | C | F | F(-1) | B |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 281 | 260 | 350 | 191 | 217 | 707 | 0 | 0 | 376 |
| N.S. |
1 | 0.93 | 1.25 | 0.68 | 0.77 | 2.52 | 0.00 | 0.00 | 1.34 |
| time (sec) |
N/A | 1.103 | 6.642 | 0.945 | 0.344 | 0.278 | 0.000 | 0.000 | 5.926 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | C | F | F(-1) | B |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 279 | 250 | 183 | 197 | 220 | 712 | 0 | 0 | 375 |
| N.S. |
1 | 0.90 | 0.66 | 0.71 | 0.79 | 2.55 | 0.00 | 0.00 | 1.34 |
| time (sec) |
N/A | 1.162 | 1.075 | 0.674 | 0.339 | 0.276 | 0.000 | 0.000 | 5.251 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | C | F | F | B |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 278 | 255 | 254 | 200 | 218 | 658 | 0 | 0 | 367 |
| N.S. |
1 | 0.92 | 0.91 | 0.72 | 0.78 | 2.37 | 0.00 | 0.00 | 1.32 |
| time (sec) |
N/A | 1.132 | 2.895 | 0.733 | 0.348 | 0.280 | 0.000 | 0.000 | 5.729 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | C | F | F(-1) | B |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 281 | 255 | 123 | 197 | 217 | 719 | 0 | 0 | 365 |
| N.S. |
1 | 0.91 | 0.44 | 0.70 | 0.77 | 2.56 | 0.00 | 0.00 | 1.30 |
| time (sec) |
N/A | 1.166 | 1.328 | 0.931 | 0.347 | 0.285 | 0.000 | 0.000 | 4.898 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | C | F | F(-1) | B |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 306 | 294 | 301 | 212 | 230 | 855 | 0 | 0 | 415 |
| N.S. |
1 | 0.96 | 0.98 | 0.69 | 0.75 | 2.79 | 0.00 | 0.00 | 1.36 |
| time (sec) |
N/A | 1.566 | 6.492 | 1.046 | 0.333 | 0.291 | 0.000 | 0.000 | 6.090 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | C | F | F(-1) | B |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 331 | 322 | 152 | 227 | 254 | 921 | 0 | 0 | 424 |
| N.S. |
1 | 0.97 | 0.46 | 0.69 | 0.77 | 2.78 | 0.00 | 0.00 | 1.28 |
| time (sec) |
N/A | 1.962 | 4.522 | 0.884 | 0.337 | 0.285 | 0.000 | 0.000 | 5.268 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | A | A | F | F(-2) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 189 | 211 | 331 | 355 | 201 | 472 | 0 | 0 | 176 |
| N.S. |
1 | 1.12 | 1.75 | 1.88 | 1.06 | 2.50 | 0.00 | 0.00 | 0.93 |
| time (sec) |
N/A | 1.629 | 2.178 | 1.105 | 0.338 | 0.272 | 0.000 | 0.000 | 6.078 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | A | A | F | F(-1) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 165 | 183 | 256 | 338 | 184 | 447 | 0 | 0 | 178 |
| N.S. |
1 | 1.11 | 1.55 | 2.05 | 1.12 | 2.71 | 0.00 | 0.00 | 1.08 |
| time (sec) |
N/A | 1.242 | 1.780 | 1.131 | 0.332 | 0.267 | 0.000 | 0.000 | 5.163 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | A | A | F | F(-1) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 164 | 185 | 240 | 349 | 184 | 442 | 0 | 0 | 153 |
| N.S. |
1 | 1.13 | 1.46 | 2.13 | 1.12 | 2.70 | 0.00 | 0.00 | 0.93 |
| time (sec) |
N/A | 1.203 | 6.464 | 0.966 | 0.338 | 0.271 | 0.000 | 0.000 | 5.666 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | A | A | F | F(-1) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 164 | 183 | 191 | 349 | 184 | 412 | 0 | 0 | 177 |
| N.S. |
1 | 1.12 | 1.16 | 2.13 | 1.12 | 2.51 | 0.00 | 0.00 | 1.08 |
| time (sec) |
N/A | 1.219 | 5.315 | 0.892 | 0.358 | 0.275 | 0.000 | 0.000 | 5.505 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | A | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 161 | 181 | 186 | 349 | 184 | 392 | 0 | 0 | 152 |
| N.S. |
1 | 1.12 | 1.16 | 2.17 | 1.14 | 2.43 | 0.00 | 0.00 | 0.94 |
| time (sec) |
N/A | 1.180 | 1.677 | 0.924 | 0.334 | 0.265 | 0.000 | 0.000 | 5.644 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | A | A | F | F(-1) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 165 | 186 | 164 | 349 | 180 | 379 | 0 | 0 | 172 |
| N.S. |
1 | 1.13 | 0.99 | 2.12 | 1.09 | 2.30 | 0.00 | 0.00 | 1.04 |
| time (sec) |
N/A | 1.228 | 1.273 | 1.182 | 0.341 | 0.265 | 0.000 | 0.000 | 5.166 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | A | A | F | F(-1) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 189 | 215 | 181 | 364 | 190 | 457 | 0 | 0 | 176 |
| N.S. |
1 | 1.14 | 0.96 | 1.93 | 1.01 | 2.42 | 0.00 | 0.00 | 0.93 |
| time (sec) |
N/A | 1.555 | 3.697 | 0.900 | 0.353 | 0.271 | 0.000 | 0.000 | 6.267 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | A | A | F | F(-1) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 215 | 250 | 246 | 379 | 210 | 486 | 0 | 0 | 192 |
| N.S. |
1 | 1.16 | 1.14 | 1.76 | 0.98 | 2.26 | 0.00 | 0.00 | 0.89 |
| time (sec) |
N/A | 1.921 | 6.747 | 0.904 | 0.355 | 0.279 | 0.000 | 0.000 | 5.575 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | A | F | F(-1) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 264 | 300 | 150 | 243 | 0 | 284 | 0 | 0 | 135 |
| N.S. |
1 | 1.14 | 0.57 | 0.92 | 0.00 | 1.08 | 0.00 | 0.00 | 0.51 |
| time (sec) |
N/A | 1.338 | 2.543 | 1.245 | 0.000 | 0.258 | 0.000 | 0.000 | 7.316 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 208 | 236 | 100 | 230 | 0 | 262 | 0 | 0 | 120 |
| N.S. |
1 | 1.13 | 0.48 | 1.11 | 0.00 | 1.26 | 0.00 | 0.00 | 0.58 |
| time (sec) |
N/A | 0.783 | 0.389 | 0.646 | 0.000 | 0.253 | 0.000 | 0.000 | 5.878 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 166 | 184 | 78 | 206 | 0 | 242 | 0 | 0 | 90 |
| N.S. |
1 | 1.11 | 0.47 | 1.24 | 0.00 | 1.46 | 0.00 | 0.00 | 0.54 |
| time (sec) |
N/A | 0.526 | 0.077 | 0.681 | 0.000 | 0.254 | 0.000 | 0.000 | 4.850 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | B | F | F | B |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 165 | 183 | 78 | 2129 | 0 | 260 | 0 | 0 | 90 |
| N.S. |
1 | 1.11 | 0.47 | 12.90 | 0.00 | 1.58 | 0.00 | 0.00 | 0.55 |
| time (sec) |
N/A | 0.822 | 0.086 | 97.513 | 0.000 | 0.255 | 0.000 | 0.000 | 0.259 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | A | F | F | B |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 221 | 246 | 124 | 3819 | 0 | 338 | 0 | 0 | 149 |
| N.S. |
1 | 1.11 | 0.56 | 17.28 | 0.00 | 1.53 | 0.00 | 0.00 | 0.67 |
| time (sec) |
N/A | 1.270 | 0.522 | 163.276 | 0.000 | 0.260 | 0.000 | 0.000 | 0.285 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | A | F | F | B |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 273 | 310 | 169 | 4799 | 0 | 360 | 0 | 0 | 198 |
| N.S. |
1 | 1.14 | 0.62 | 17.58 | 0.00 | 1.32 | 0.00 | 0.00 | 0.73 |
| time (sec) |
N/A | 1.757 | 0.938 | 100.750 | 0.000 | 0.269 | 0.000 | 0.000 | 0.329 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 318 | 327 | 118 | 318 | 0 | 308 | 0 | 0 | 107 |
| N.S. |
1 | 1.03 | 0.37 | 1.00 | 0.00 | 0.97 | 0.00 | 0.00 | 0.34 |
| time (sec) |
N/A | 0.879 | 1.193 | 0.697 | 0.000 | 0.266 | 0.000 | 0.000 | 6.614 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 266 | 267 | 86 | 305 | 0 | 280 | 0 | 0 | 88 |
| N.S. |
1 | 1.00 | 0.32 | 1.15 | 0.00 | 1.05 | 0.00 | 0.00 | 0.33 |
| time (sec) |
N/A | 0.545 | 0.195 | 0.556 | 0.000 | 0.253 | 0.000 | 0.000 | 4.801 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F(-2) | A | F | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 247 | 247 | 67 | 288 | 0 | 259 | 0 | 260 | 73 |
| N.S. |
1 | 1.00 | 0.27 | 1.17 | 0.00 | 1.05 | 0.00 | 1.05 | 0.30 |
| time (sec) |
N/A | 0.444 | 0.031 | 0.991 | 0.000 | 0.247 | 0.000 | 0.743 | 0.284 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | A | F | A | B |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 288 | 294 | 102 | 2379 | 0 | 351 | 0 | 320 | 121 |
| N.S. |
1 | 1.02 | 0.35 | 8.26 | 0.00 | 1.22 | 0.00 | 1.11 | 0.42 |
| time (sec) |
N/A | 0.966 | 0.282 | 110.353 | 0.000 | 0.253 | 0.000 | 1.299 | 5.478 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | A | F | A | B |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 346 | 358 | 151 | 4598 | 0 | 386 | 0 | 347 | 175 |
| N.S. |
1 | 1.03 | 0.44 | 13.29 | 0.00 | 1.12 | 0.00 | 1.00 | 0.51 |
| time (sec) |
N/A | 1.448 | 0.491 | 119.966 | 0.000 | 0.266 | 0.000 | 1.249 | 0.214 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F(-1) | A | F | F(-1) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 369 | 410 | 132 | 371 | 0 | 378 | 0 | 0 | 144 |
| N.S. |
1 | 1.11 | 0.36 | 1.01 | 0.00 | 1.02 | 0.00 | 0.00 | 0.39 |
| time (sec) |
N/A | 1.445 | 1.198 | 0.521 | 0.000 | 0.256 | 0.000 | 0.000 | 8.528 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | A | F | F(-1) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 315 | 348 | 112 | 354 | 0 | 358 | 0 | 0 | 129 |
| N.S. |
1 | 1.10 | 0.36 | 1.12 | 0.00 | 1.14 | 0.00 | 0.00 | 0.41 |
| time (sec) |
N/A | 0.901 | 0.661 | 0.491 | 0.000 | 0.260 | 0.000 | 0.000 | 5.900 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 271 | 296 | 90 | 326 | 0 | 336 | 0 | 0 | 99 |
| N.S. |
1 | 1.09 | 0.33 | 1.20 | 0.00 | 1.24 | 0.00 | 0.00 | 0.37 |
| time (sec) |
N/A | 0.610 | 0.259 | 0.496 | 0.000 | 0.253 | 0.000 | 0.000 | 5.867 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | A | F | F | B |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 253 | 278 | 78 | 2129 | 0 | 344 | 0 | 0 | 85 |
| N.S. |
1 | 1.10 | 0.31 | 8.42 | 0.00 | 1.36 | 0.00 | 0.00 | 0.34 |
| time (sec) |
N/A | 0.759 | 0.087 | 93.265 | 0.000 | 0.256 | 0.000 | 0.000 | 0.171 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | A | F | F(-1) | B |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 307 | 338 | 125 | 3819 | 0 | 424 | 0 | 0 | 142 |
| N.S. |
1 | 1.10 | 0.41 | 12.44 | 0.00 | 1.38 | 0.00 | 0.00 | 0.46 |
| time (sec) |
N/A | 1.155 | 0.707 | 137.905 | 0.000 | 0.268 | 0.000 | 0.000 | 4.434 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F(-1) | A | F | F(-1) | B |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 361 | 400 | 169 | 4799 | 0 | 444 | 0 | 0 | 193 |
| N.S. |
1 | 1.11 | 0.47 | 13.29 | 0.00 | 1.23 | 0.00 | 0.00 | 0.53 |
| time (sec) |
N/A | 1.645 | 1.635 | 88.366 | 0.000 | 0.268 | 0.000 | 0.000 | 4.962 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | B | F | F(-1) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 227 | 267 | 155 | 245 | 0 | 368 | 0 | 0 | 118 |
| N.S. |
1 | 1.18 | 0.68 | 1.08 | 0.00 | 1.62 | 0.00 | 0.00 | 0.52 |
| time (sec) |
N/A | 1.041 | 2.149 | 0.797 | 0.000 | 0.256 | 0.000 | 0.000 | 7.181 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | B | F | F(-1) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 173 | 204 | 100 | 233 | 0 | 346 | 0 | 0 | 103 |
| N.S. |
1 | 1.18 | 0.58 | 1.35 | 0.00 | 2.00 | 0.00 | 0.00 | 0.60 |
| time (sec) |
N/A | 0.614 | 0.415 | 0.687 | 0.000 | 0.245 | 0.000 | 0.000 | 0.987 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F(-2) | B | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 156 | 185 | 79 | 221 | 0 | 326 | 0 | 0 | 82 |
| N.S. |
1 | 1.19 | 0.51 | 1.42 | 0.00 | 2.09 | 0.00 | 0.00 | 0.53 |
| time (sec) |
N/A | 0.498 | 0.072 | 0.569 | 0.000 | 0.256 | 0.000 | 0.000 | 5.425 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | B | F | F | B |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 178 | 214 | 100 | 2380 | 0 | 400 | 0 | 0 | 119 |
| N.S. |
1 | 1.20 | 0.56 | 13.37 | 0.00 | 2.25 | 0.00 | 0.00 | 0.67 |
| time (sec) |
N/A | 0.974 | 0.228 | 118.267 | 0.000 | 0.276 | 0.000 | 0.000 | 0.259 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | B | F | F(-1) | B |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 238 | 278 | 147 | 4598 | 0 | 434 | 0 | 0 | 173 |
| N.S. |
1 | 1.17 | 0.62 | 19.32 | 0.00 | 1.82 | 0.00 | 0.00 | 0.73 |
| time (sec) |
N/A | 1.439 | 1.131 | 61.115 | 0.000 | 0.268 | 0.000 | 0.000 | 0.320 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | A | F | F(-1) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 241 | 279 | 110 | 245 | 0 | 350 | 0 | 0 | 118 |
| N.S. |
1 | 1.16 | 0.46 | 1.02 | 0.00 | 1.45 | 0.00 | 0.00 | 0.49 |
| time (sec) |
N/A | 1.064 | 3.278 | 0.543 | 0.000 | 0.266 | 0.000 | 0.000 | 5.111 |