Detailed conclusion table per each integral is given by 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 just an F.
In this table,the column N.S. in the table below, which stands for normalized size is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To help make the table fit, Mathematica was abbreviated to MMA.
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 247 | 247 | 168 | 898 | 0 | 289 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.68 | 3.64 | 0.00 | 1.17 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.259 | 1.017 | 0.362 | 0.000 | 0.521 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 209 | 209 | 146 | 880 | 0 | 264 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.70 | 4.21 | 0.00 | 1.26 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.252 | 1.430 | 0.296 | 0.000 | 0.859 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 208 | 208 | 130 | 777 | 0 | 242 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.62 | 3.74 | 0.00 | 1.16 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.244 | 0.733 | 0.194 | 0.000 | 0.495 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 207 | 207 | 138 | 432 | 0 | 215 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.67 | 2.09 | 0.00 | 1.04 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.257 | 0.395 | 0.163 | 0.000 | 0.992 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 211 | 211 | 142 | 476 | 0 | 234 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.67 | 2.26 | 0.00 | 1.11 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.252 | 0.553 | 0.138 | 0.000 | 0.905 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | F | C | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 245 | 245 | 168 | 529 | 0 | 257 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.69 | 2.16 | 0.00 | 1.05 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.270 | 0.991 | 0.136 | 0.000 | 0.829 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | F | C | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 289 | 289 | 199 | 586 | 0 | 286 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.69 | 2.03 | 0.00 | 0.99 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.304 | 1.228 | 0.145 | 0.000 | 0.903 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | F | F(-1) | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 188 | 188 | 165 | 423 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.88 | 2.25 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.346 | 31.894 | 0.250 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | F(-1) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 117 | 117 | 83 | 353 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.71 | 3.02 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.114 | 33.053 | 0.135 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | F(-1) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 49 | 49 | 63 | 150 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.29 | 3.06 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
| time (sec) |
N/A | 0.060 | 10.226 | 0.099 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | F | F(-1) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 93 | 93 | 47 | 187 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.51 | 2.01 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.105 | 10.172 | 0.117 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | F | F(-1) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 135 | 135 | 176 | 226 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.30 | 1.67 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.147 | 24.008 | 0.156 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | F(-1) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 172 | 172 | 194 | 552 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.13 | 3.21 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.244 | 34.192 | 0.154 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-1) | F(-1) | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 342 | 342 | 294 | 975 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.86 | 2.85 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.633 | 35.036 | 0.421 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-1) | F(-1) | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 279 | 279 | 351 | 841 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.26 | 3.01 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.437 | 33.785 | 0.276 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | B | F | F(-1) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 214 | 214 | 582 | 608 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.72 | 2.84 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.268 | 36.463 | 0.165 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-1) | F(-1) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 208 | 208 | 289 | 707 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.39 | 3.40 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.240 | 35.597 | 0.218 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | F(-1) | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 227 | 227 | 251 | 788 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.11 | 3.47 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.258 | 32.839 | 0.254 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | F(-1) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 244 | 244 | 319 | 809 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.31 | 3.32 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.324 | 34.417 | 0.259 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | F(-1) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 304 | 304 | 279 | 1064 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.92 | 3.50 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.453 | 34.746 | 0.280 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-1) | F(-1) | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 388 | 388 | 532 | 1987 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.37 | 5.12 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.654 | 36.395 | 0.506 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-1) | F(-1) | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 315 | 315 | 335 | 1203 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.06 | 3.82 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.475 | 35.133 | 0.253 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-1) | F(-1) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 313 | 313 | 428 | 1760 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.37 | 5.62 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.451 | 35.439 | 0.395 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-1) | F(-1) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 306 | 306 | 429 | 1858 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.40 | 6.07 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.410 | 35.196 | 0.403 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-1) | F(-1) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 323 | 323 | 286 | 1936 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.89 | 5.99 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.424 | 34.431 | 0.448 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | B | F(-1) | F(-1) | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 342 | 342 | 707 | 1957 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.07 | 5.72 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.520 | 36.566 | 0.474 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-2) | F | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 406 | 406 | 731 | 2216 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.80 | 5.46 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.682 | 36.618 | 0.513 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | F | F(-1) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 237 | 237 | 321 | 789 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.35 | 3.33 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.434 | 13.634 | 1.164 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F | F(-1) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 138 | 138 | 96 | 265 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.70 | 1.92 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.237 | 2.188 | 0.190 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 67 | 67 | 67 | 925 | 0 | 355 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.00 | 13.81 | 0.00 | 5.30 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.065 | 0.075 | 0.320 | 0.000 | 1.022 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 192 | 192 | 156 | 1021 | 0 | 415 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.81 | 5.32 | 0.00 | 2.16 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.251 | 0.411 | 0.270 | 0.000 | 0.826 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 244 | 244 | 203 | 1736 | 0 | 461 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.83 | 7.11 | 0.00 | 1.89 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.406 | 0.590 | 0.247 | 0.000 | 1.134 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 305 | 305 | 237 | 2050 | 0 | 501 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.78 | 6.72 | 0.00 | 1.64 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.559 | 0.825 | 0.262 | 0.000 | 0.879 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | F | F(-1) | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 299 | 299 | 411 | 1744 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.37 | 5.83 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.656 | 14.178 | 0.211 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | F | F(-1) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 249 | 249 | 394 | 1207 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.58 | 4.85 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.482 | 14.254 | 0.225 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F | F | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 209 | 209 | 129 | 1367 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.62 | 6.54 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.349 | 2.333 | 0.214 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 187 | 187 | 156 | 1219 | 0 | 415 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.83 | 6.52 | 0.00 | 2.22 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.290 | 0.461 | 0.251 | 0.000 | 0.937 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 240 | 240 | 197 | 1707 | 0 | 463 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.82 | 7.11 | 0.00 | 1.93 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.425 | 0.737 | 0.223 | 0.000 | 1.329 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 303 | 303 | 237 | 2050 | 0 | 501 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.78 | 6.77 | 0.00 | 1.65 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.590 | 1.146 | 0.243 | 0.000 | 0.909 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | F | F(-1) | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 369 | 369 | 602 | 2295 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.63 | 6.22 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.898 | 16.409 | 0.519 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | F | F(-1) | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 314 | 314 | 560 | 1982 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.78 | 6.31 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.710 | 16.317 | 0.194 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | F | F | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 263 | 263 | 421 | 1949 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.60 | 7.41 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.518 | 15.262 | 0.206 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | F | F | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 262 | 262 | 409 | 1661 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.56 | 6.34 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.524 | 13.757 | 0.193 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 239 | 239 | 200 | 1931 | 0 | 462 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.84 | 8.08 | 0.00 | 1.93 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.456 | 1.001 | 0.217 | 0.000 | 0.945 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 303 | 303 | 237 | 2050 | 0 | 501 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.78 | 6.77 | 0.00 | 1.65 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.627 | 1.514 | 0.243 | 0.000 | 0.584 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 363 | 363 | 286 | 2788 | 0 | 541 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.79 | 7.68 | 0.00 | 1.49 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.844 | 1.728 | 0.316 | 0.000 | 1.089 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | F | F(-1) | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 312 | 312 | 397 | 1755 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.27 | 5.62 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.591 | 14.052 | 0.204 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | F | F(-1) | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 246 | 246 | 329 | 995 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.34 | 4.04 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.435 | 15.491 | 0.223 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F | F(-1) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 68 | 68 | 68 | 232 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.00 | 3.41 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.126 | 0.077 | 0.187 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 67 | 67 | 67 | 153 | 0 | 146 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.00 | 2.28 | 0.00 | 2.18 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.070 | 0.053 | 0.203 | 0.000 | 1.542 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 142 | 142 | 96 | 736 | 0 | 355 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.68 | 5.18 | 0.00 | 2.50 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.188 | 1.751 | 0.226 | 0.000 | 1.401 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 195 | 195 | 147 | 1024 | 0 | 415 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.75 | 5.25 | 0.00 | 2.13 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.269 | 0.416 | 0.240 | 0.000 | 1.338 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 249 | 249 | 193 | 1736 | 0 | 464 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.78 | 6.97 | 0.00 | 1.86 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.403 | 0.516 | 0.219 | 0.000 | 1.769 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | F | F(-1) | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 345 | 345 | 478 | 1501 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.39 | 4.35 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.688 | 12.831 | 0.452 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | F | F(-1) | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 206 | 206 | 434 | 1144 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.11 | 5.55 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.358 | 14.205 | 0.200 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 126 | 126 | 103 | 501 | 0 | 488 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.82 | 3.98 | 0.00 | 3.87 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.120 | 0.194 | 0.191 | 0.000 | 0.962 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 200 | 200 | 156 | 506 | 0 | 525 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.78 | 2.53 | 0.00 | 2.62 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.277 | 0.412 | 0.190 | 0.000 | 1.547 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 214 | 214 | 165 | 999 | 0 | 565 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.77 | 4.67 | 0.00 | 2.64 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.313 | 0.455 | 0.232 | 0.000 | 1.398 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 289 | 289 | 203 | 1317 | 0 | 632 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.70 | 4.56 | 0.00 | 2.19 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.465 | 0.628 | 0.253 | 0.000 | 1.201 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 360 | 360 | 250 | 1861 | 0 | 692 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.69 | 5.17 | 0.00 | 1.92 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.668 | 0.913 | 0.219 | 0.000 | 1.759 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | F | F(-1) | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 458 | 458 | 561 | 4591 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.22 | 10.02 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.972 | 14.817 | 0.261 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | F | F(-1) | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 370 | 370 | 487 | 3854 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.32 | 10.42 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.746 | 13.480 | 0.211 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 277 | 277 | 169 | 1343 | 0 | 688 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.61 | 4.85 | 0.00 | 2.48 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.453 | 0.711 | 0.238 | 0.000 | 0.574 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 281 | 281 | 178 | 1822 | 0 | 759 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.63 | 6.48 | 0.00 | 2.70 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.421 | 0.722 | 0.197 | 0.000 | 1.139 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 302 | 302 | 196 | 2070 | 0 | 811 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.65 | 6.85 | 0.00 | 2.69 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.442 | 0.837 | 0.201 | 0.000 | 1.862 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 317 | 317 | 208 | 3103 | 0 | 863 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.66 | 9.79 | 0.00 | 2.72 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.492 | 0.877 | 0.230 | 0.000 | 1.039 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 391 | 391 | 257 | 3614 | 0 | 949 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.66 | 9.24 | 0.00 | 2.43 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.687 | 1.130 | 0.242 | 0.000 | 0.775 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 474 | 474 | 292 | 4586 | 0 | 1036 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.62 | 9.68 | 0.00 | 2.19 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.910 | 1.360 | 0.314 | 0.000 | 0.787 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 122 | 122 | 78 | 405 | 0 | 95 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.64 | 3.32 | 0.00 | 0.78 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.120 | 0.096 | 1.633 | 0.000 | 0.762 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 109 | 109 | 68 | 374 | 0 | 92 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.62 | 3.43 | 0.00 | 0.84 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.120 | 0.084 | 1.137 | 0.000 | 0.548 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 108 | 108 | 68 | 405 | 0 | 95 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.63 | 3.75 | 0.00 | 0.88 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.139 | 0.056 | 0.621 | 0.000 | 0.759 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 123 | 123 | 78 | 390 | 0 | 87 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.63 | 3.17 | 0.00 | 0.71 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.145 | 0.066 | 0.431 | 0.000 | 0.811 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 127 | 127 | 81 | 409 | 0 | 108 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.64 | 3.22 | 0.00 | 0.85 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.123 | 0.097 | 1.099 | 0.000 | 0.647 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 113 | 113 | 72 | 381 | 0 | 108 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.64 | 3.37 | 0.00 | 0.96 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.123 | 0.083 | 1.115 | 0.000 | 0.832 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 129 | 129 | 72 | 370 | 0 | 108 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.56 | 2.87 | 0.00 | 0.84 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.123 | 0.056 | 0.410 | 0.000 | 0.931 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 115 | 115 | 81 | 394 | 0 | 108 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.70 | 3.43 | 0.00 | 0.94 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.126 | 0.070 | 0.309 | 0.000 | 0.530 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 61 | 61 | 61 | 142 | 0 | 47 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.00 | 2.33 | 0.00 | 0.77 | 0.00 | 0.00 | -0.02 |
| time (sec) |
N/A | 0.042 | 0.039 | 0.201 | 0.000 | 0.486 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 54 | 54 | 54 | 137 | 0 | 44 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.00 | 2.54 | 0.00 | 0.81 | 0.00 | 0.00 | -0.02 |
| time (sec) |
N/A | 0.039 | 0.038 | 0.265 | 0.000 | 0.690 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 54 | 54 | 54 | 144 | 0 | 47 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.00 | 2.67 | 0.00 | 0.87 | 0.00 | 0.00 | -0.02 |
| time (sec) |
N/A | 0.049 | 0.028 | 0.284 | 0.000 | 0.820 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 61 | 61 | 61 | 139 | 0 | 44 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.00 | 2.28 | 0.00 | 0.72 | 0.00 | 0.00 | -0.02 |
| time (sec) |
N/A | 0.052 | 0.032 | 0.217 | 0.000 | 0.576 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 61 | 61 | 61 | 145 | 0 | 54 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.00 | 2.38 | 0.00 | 0.89 | 0.00 | 0.00 | -0.02 |
| time (sec) |
N/A | 0.040 | 0.039 | 0.267 | 0.000 | 1.298 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 54 | 54 | 54 | 138 | 0 | 54 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.00 | 2.56 | 0.00 | 1.00 | 0.00 | 0.00 | -0.02 |
| time (sec) |
N/A | 0.039 | 0.039 | 0.198 | 0.000 | 0.775 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 62 | 62 | 54 | 136 | 0 | 52 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.87 | 2.19 | 0.00 | 0.84 | 0.00 | 0.00 | -0.02 |
| time (sec) |
N/A | 0.040 | 0.032 | 0.190 | 0.000 | 1.206 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 55 | 55 | 61 | 142 | 0 | 52 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.11 | 2.58 | 0.00 | 0.95 | 0.00 | 0.00 | -0.02 |
| time (sec) |
N/A | 0.043 | 0.031 | 0.198 | 0.000 | 0.554 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | F | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 105 | 105 | 7160 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 68.19 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.070 | 42.729 | 0.073 | 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 | F(-1) | A | A | A |
| verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 17 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
| time (sec) |
N/A | 0.009 | 2.792 | 0.059 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | F | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 362 | 362 | 8052 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 22.24 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.476 | 38.007 | 0.084 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | F | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 305 | 305 | 7783 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 25.52 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.336 | 37.791 | 0.075 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | F | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 260 | 260 | 2505 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 9.63 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.227 | 48.320 | 0.066 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | F | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 105 | 105 | 7142 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 68.02 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.059 | 36.396 | 0.057 | 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 | F(-1) | A | A | A |
| verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 17 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
| time (sec) |
N/A | 0.009 | 3.965 | 0.066 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | F | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 108 | 108 | 7313 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 67.71 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.063 | 42.928 | 0.065 | 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 | F(-1) | A | A | A |
| verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 17 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
| time (sec) |
N/A | 0.009 | 37.654 | 0.067 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | F | F(-2) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 412 | 412 | 28057 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 68.10 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.594 | 38.673 | 0.083 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | F | F(-2) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 356 | 356 | 8065 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 22.65 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.456 | 38.038 | 0.076 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | F | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 299 | 299 | 7809 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 26.12 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.319 | 37.777 | 0.064 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | F | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 108 | 108 | 7321 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 67.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.063 | 36.831 | 0.058 | 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 | F(-1) | A | A | A |
| verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 17 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
| time (sec) |
N/A | 0.010 | 35.628 | 0.062 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | F | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 313 | 313 | 7796 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 24.91 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.357 | 37.859 | 0.091 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | F | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 265 | 265 | 7195 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 27.15 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.247 | 36.429 | 0.080 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |