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 | B | F | C | F(-1) | F | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 186 | 192 | 2421 | 679 | 0 | 292 | 0 | 0 | 260 |
| N.S. |
1 | 1.03 | 13.02 | 3.65 | 0.00 | 1.57 | 0.00 | 0.00 | 1.40 |
| time (sec) |
N/A | 1.213 | 19.108 | 432.110 | 0.000 | 0.127 | 0.000 | 0.000 | 19.180 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F(-1) | F | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 180 | 179 | 2307 | 1303 | 0 | 292 | 0 | 0 | 268 |
| N.S. |
1 | 0.99 | 12.82 | 7.24 | 0.00 | 1.62 | 0.00 | 0.00 | 1.49 |
| time (sec) |
N/A | 1.195 | 12.270 | 3.524 | 0.000 | 0.121 | 0.000 | 0.000 | 20.354 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F | F | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 201 | 205 | 2427 | 973 | 0 | 319 | 0 | 0 | 310 |
| N.S. |
1 | 1.02 | 12.07 | 4.84 | 0.00 | 1.59 | 0.00 | 0.00 | 1.54 |
| time (sec) |
N/A | 1.265 | 18.121 | 3.954 | 0.000 | 0.134 | 0.000 | 0.000 | 21.750 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 249 | 238 | 218 | 920 | 0 | 357 | 0 | 0 | 343 |
| N.S. |
1 | 0.96 | 0.88 | 3.69 | 0.00 | 1.43 | 0.00 | 0.00 | 1.38 |
| time (sec) |
N/A | 1.404 | 11.606 | 4.821 | 0.000 | 0.132 | 0.000 | 0.000 | 22.023 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F(-1) | F(-1) | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 361 | 343 | 286 | 0 | 0 | 429 | 0 | 0 | 514 |
| N.S. |
1 | 0.95 | 0.79 | 0.00 | 0.00 | 1.19 | 0.00 | 0.00 | 1.42 |
| time (sec) |
N/A | 2.041 | 4.427 | 180.000 | 0.000 | 0.163 | 0.000 | 0.000 | 20.678 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | F(-1) | F(-1) | C | F(-1) | F | B |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 296 | 308 | 3237 | 0 | 0 | 376 | 0 | 0 | 452 |
| N.S. |
1 | 1.04 | 10.94 | 0.00 | 0.00 | 1.27 | 0.00 | 0.00 | 1.53 |
| time (sec) |
N/A | 1.858 | 11.230 | 180.000 | 0.000 | 0.151 | 0.000 | 0.000 | 19.686 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | F(-1) | F(-1) | C | F(-1) | F | B |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 277 | 288 | 3207 | 0 | 0 | 378 | 0 | 0 | 398 |
| N.S. |
1 | 1.04 | 11.58 | 0.00 | 0.00 | 1.36 | 0.00 | 0.00 | 1.44 |
| time (sec) |
N/A | 1.815 | 27.859 | 180.000 | 0.000 | 0.146 | 0.000 | 0.000 | 20.861 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | F(-1) | F(-1) | C | F(-1) | F | B |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 267 | 271 | 3160 | 0 | 0 | 369 | 0 | 0 | 379 |
| N.S. |
1 | 1.01 | 11.84 | 0.00 | 0.00 | 1.38 | 0.00 | 0.00 | 1.42 |
| time (sec) |
N/A | 1.777 | 17.229 | 180.000 | 0.000 | 0.145 | 0.000 | 0.000 | 21.844 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F(-1) | C | F(-1) | F | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 274 | 276 | 3163 | 1392 | 0 | 382 | 0 | 0 | 414 |
| N.S. |
1 | 1.01 | 11.54 | 5.08 | 0.00 | 1.39 | 0.00 | 0.00 | 1.51 |
| time (sec) |
N/A | 1.797 | 17.003 | 4.239 | 0.000 | 0.153 | 0.000 | 0.000 | 22.471 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F(-1) | C | F(-1) | F | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 294 | 303 | 3225 | 1178 | 0 | 415 | 0 | 0 | 442 |
| N.S. |
1 | 1.03 | 10.97 | 4.01 | 0.00 | 1.41 | 0.00 | 0.00 | 1.50 |
| time (sec) |
N/A | 1.856 | 17.929 | 5.229 | 0.000 | 0.149 | 0.000 | 0.000 | 24.496 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F(-1) | C | F | F | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 357 | 332 | 3345 | 1265 | 0 | 467 | 0 | 0 | 463 |
| N.S. |
1 | 0.93 | 9.37 | 3.54 | 0.00 | 1.31 | 0.00 | 0.00 | 1.30 |
| time (sec) |
N/A | 2.066 | 16.683 | 6.074 | 0.000 | 0.161 | 0.000 | 0.000 | 25.528 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F(-1) | F(-1) | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 404 | 421 | 320 | 0 | 0 | 487 | 0 | 0 | 600 |
| N.S. |
1 | 1.04 | 0.79 | 0.00 | 0.00 | 1.21 | 0.00 | 0.00 | 1.49 |
| time (sec) |
N/A | 2.560 | 12.836 | 180.000 | 0.000 | 0.154 | 0.000 | 0.000 | 20.192 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | F(-1) | F(-1) | C | F(-1) | F | B |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 377 | 389 | 4114 | 0 | 0 | 474 | 0 | 0 | 547 |
| N.S. |
1 | 1.03 | 10.91 | 0.00 | 0.00 | 1.26 | 0.00 | 0.00 | 1.45 |
| time (sec) |
N/A | 2.481 | 15.152 | 180.000 | 0.000 | 0.171 | 0.000 | 0.000 | 20.451 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | F(-1) | F(-1) | C | F(-1) | F | B |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 371 | 378 | 3950 | 0 | 0 | 455 | 0 | 0 | 516 |
| N.S. |
1 | 1.02 | 10.65 | 0.00 | 0.00 | 1.23 | 0.00 | 0.00 | 1.39 |
| time (sec) |
N/A | 2.514 | 16.073 | 180.000 | 0.000 | 0.168 | 0.000 | 0.000 | 21.343 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | F(-1) | F(-1) | C | F(-1) | F | B |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 388 | 388 | 4016 | 0 | 0 | 455 | 0 | 0 | 524 |
| N.S. |
1 | 1.00 | 10.35 | 0.00 | 0.00 | 1.17 | 0.00 | 0.00 | 1.35 |
| time (sec) |
N/A | 2.632 | 17.471 | 180.000 | 0.000 | 0.158 | 0.000 | 0.000 | 24.833 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F(-1) | C | F(-1) | F | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 384 | 391 | 3965 | 1597 | 0 | 478 | 0 | 0 | 559 |
| N.S. |
1 | 1.02 | 10.33 | 4.16 | 0.00 | 1.24 | 0.00 | 0.00 | 1.46 |
| time (sec) |
N/A | 2.708 | 26.887 | 5.308 | 0.000 | 0.173 | 0.000 | 0.000 | 27.431 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F(-1) | C | F(-1) | F | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 401 | 411 | 4150 | 1523 | 0 | 525 | 0 | 0 | 866 |
| N.S. |
1 | 1.02 | 10.35 | 3.80 | 0.00 | 1.31 | 0.00 | 0.00 | 2.16 |
| time (sec) |
N/A | 2.651 | 16.458 | 6.320 | 0.000 | 0.177 | 0.000 | 0.000 | 30.441 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 209 | 227 | 271 | 801 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.09 | 1.30 | 3.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.788 | 10.542 | 22.713 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 147 | 158 | 215 | 981 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.07 | 1.46 | 6.67 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.222 | 6.942 | 3.326 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | F | A | F | F | F | F | F(-1) |
| verified |
N/A | Yes | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 97 | 102 | 0 | 323 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.05 | 0.00 | 3.33 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.853 | 0.000 | 3.064 | 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 | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 118 | 117 | 210 | 382 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.99 | 1.78 | 3.24 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.101 | 4.080 | 3.134 | 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 | F(-1) | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 158 | 168 | 266 | 445 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.06 | 1.68 | 2.82 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.607 | 3.309 | 3.532 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-1) | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 236 | 252 | 332 | 773 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.07 | 1.41 | 3.28 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.204 | 5.960 | 4.286 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 346 | 338 | 337 | 1123 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.98 | 0.97 | 3.25 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.283 | 4.770 | 4.435 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 257 | 253 | 299 | 856 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.98 | 1.16 | 3.33 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.605 | 4.177 | 3.571 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 239 | 231 | 298 | 809 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.97 | 1.25 | 3.38 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.617 | 5.029 | 3.975 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-1) | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 307 | 280 | 337 | 870 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.91 | 1.10 | 2.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.187 | 6.196 | 4.145 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-1) | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 387 | 367 | 472 | 1004 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.95 | 1.22 | 2.59 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 3.034 | 9.158 | 4.780 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-1) | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
| size | 538 | 541 | 602 | 2289 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.01 | 1.12 | 4.25 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 3.705 | 9.832 | 5.980 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-1) | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 426 | 432 | 437 | 2022 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.01 | 1.03 | 4.75 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.745 | 10.356 | 5.042 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-1) | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 423 | 420 | 424 | 1972 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.99 | 1.00 | 4.66 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.698 | 9.307 | 4.384 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-1) | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 409 | 407 | 533 | 1879 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.30 | 4.59 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.614 | 9.621 | 5.430 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-1) | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 496 | 480 | 592 | 2022 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.97 | 1.19 | 4.08 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 3.604 | 13.727 | 5.778 | 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 | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 457 | 499 | 3595 | 6248 | 0 | 714 | 0 | 0 | 0 |
| N.S. |
1 | 1.09 | 7.87 | 13.67 | 0.00 | 1.56 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 4.150 | 38.119 | 15.613 | 0.000 | 0.172 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 360 | 398 | 3071 | 4401 | 0 | 620 | 0 | 0 | 0 |
| N.S. |
1 | 1.11 | 8.53 | 12.22 | 0.00 | 1.72 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 3.135 | 36.174 | 11.471 | 0.000 | 0.174 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 273 | 303 | 404 | 3193 | 0 | 529 | 0 | 0 | 0 |
| N.S. |
1 | 1.11 | 1.48 | 11.70 | 0.00 | 1.94 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.346 | 36.140 | 6.384 | 0.000 | 0.143 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
| size | 277 | 297 | 106809 | 3005 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.07 | 385.59 | 10.85 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.943 | 38.470 | 6.087 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | F | F | F | F(-1) |
| verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
| size | 258 | 287 | 106639 | 2639 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.11 | 413.33 | 10.23 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.895 | 38.280 | 5.544 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 346 | 366 | 121325 | 4240 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.06 | 350.65 | 12.25 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 3.682 | 38.931 | 8.651 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | F | C | C | F | F(-1) | F | F | F(-1) |
| verified |
N/A | N/A | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 447 | 0 | 197409 | 4214 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.00 | 441.63 | 9.43 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.000 | 37.282 | 13.145 | 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 | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 455 | 494 | 3703 | 6248 | 0 | 716 | 0 | 0 | 0 |
| N.S. |
1 | 1.09 | 8.14 | 13.73 | 0.00 | 1.57 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 4.132 | 38.872 | 15.032 | 0.000 | 0.165 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 359 | 394 | 3261 | 4571 | 0 | 621 | 0 | 0 | 0 |
| N.S. |
1 | 1.10 | 9.08 | 12.73 | 0.00 | 1.73 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 3.227 | 36.719 | 12.584 | 0.000 | 0.140 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 356 | 383 | 198222 | 3712 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.08 | 556.80 | 10.43 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 4.020 | 44.241 | 11.486 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 340 | 366 | 152607 | 3217 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.08 | 448.84 | 9.46 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 3.771 | 40.572 | 10.282 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 353 | 375 | 167514 | 3647 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.06 | 474.54 | 10.33 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 3.787 | 40.280 | 11.003 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | F | C | C | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | N/A | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 446 | 0 | 198144 | 4562 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.00 | 444.27 | 10.23 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.000 | 42.651 | 15.278 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | F | C | C | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | N/A | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 551 | 0 | 259054 | 6423 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.00 | 470.15 | 11.66 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.000 | 47.592 | 20.892 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | F(-1) | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 565 | 609 | 4170 | 0 | 0 | 827 | 0 | 0 | 0 |
| N.S. |
1 | 1.08 | 7.38 | 0.00 | 0.00 | 1.46 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 5.128 | 40.456 | 180.000 | 0.000 | 0.192 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | F(-1) | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 452 | 488 | 3785 | 0 | 0 | 715 | 0 | 0 | 0 |
| N.S. |
1 | 1.08 | 8.37 | 0.00 | 0.00 | 1.58 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 4.165 | 37.698 | 180.000 | 0.000 | 0.169 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | F | C | F(-1) | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | N/A | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 441 | 0 | 244212 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.00 | 553.77 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.000 | 41.668 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | F | C | F(-1) | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | N/A | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 419 | 0 | 244012 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.00 | 582.37 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.000 | 46.771 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | F | C | C | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | N/A | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 427 | 0 | 213477 | 4786 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.00 | 499.95 | 11.21 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.000 | 40.695 | 12.990 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | F | C | C | F | F | F(-1) | F | F(-1) |
| verified |
N/A | N/A | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 453 | 0 | 243913 | 5340 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.00 | 538.44 | 11.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.000 | 37.577 | 18.692 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | F | C | C | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | N/A | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 550 | 0 | 259225 | 6597 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.00 | 471.32 | 11.99 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.000 | 43.383 | 21.061 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | F | C | C | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | N/A | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 674 | 0 | 335495 | 8402 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.00 | 497.77 | 12.47 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.000 | 43.300 | 31.783 | 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 | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 380 | 421 | 3195 | 4403 | 0 | 621 | 0 | 0 | 0 |
| N.S. |
1 | 1.11 | 8.41 | 11.59 | 0.00 | 1.63 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 3.302 | 33.747 | 14.435 | 0.000 | 0.138 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 291 | 324 | 2764 | 3030 | 0 | 534 | 0 | 0 | 0 |
| N.S. |
1 | 1.11 | 9.50 | 10.41 | 0.00 | 1.84 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.373 | 36.076 | 11.758 | 0.000 | 0.133 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
| size | 216 | 241 | 359 | 2738 | 0 | 460 | 0 | 0 | 0 |
| N.S. |
1 | 1.12 | 1.66 | 12.68 | 0.00 | 2.13 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.742 | 30.055 | 7.659 | 0.000 | 0.108 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
| size | 219 | 240 | 60749 | 1514 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.10 | 277.39 | 6.91 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.290 | 38.828 | 6.387 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 260 | 286 | 60622 | 1362 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.10 | 233.16 | 5.24 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.750 | 39.125 | 7.041 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 350 | 370 | 121146 | 2705 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.06 | 346.13 | 7.73 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 3.601 | 44.352 | 10.426 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
| size | 208 | 239 | 25325 | 1518 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.15 | 121.75 | 7.30 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.556 | 13.165 | 6.359 | 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 | F(-1) | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 461 | 487 | 3870 | 3735 | 0 | 1030 | 0 | 0 | 0 |
| N.S. |
1 | 1.06 | 8.39 | 8.10 | 0.00 | 2.23 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 3.807 | 38.667 | 14.167 | 0.000 | 0.189 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F(-1) | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 350 | 379 | 4889 | 2408 | 0 | 872 | 0 | 0 | 0 |
| N.S. |
1 | 1.08 | 13.97 | 6.88 | 0.00 | 2.49 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.803 | 40.897 | 11.075 | 0.000 | 0.173 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F(-1) | C | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 249 | 285 | 517 | 1597 | 0 | 738 | 0 | 0 | 0 |
| N.S. |
1 | 1.14 | 2.08 | 6.41 | 0.00 | 2.96 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.007 | 33.789 | 5.852 | 0.000 | 0.134 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F(-1) | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 311 | 350 | 152543 | 1685 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.13 | 490.49 | 5.42 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 3.401 | 39.472 | 5.899 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F(-1) | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 393 | 430 | 198202 | 2625 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.09 | 504.33 | 6.68 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 4.435 | 42.620 | 8.591 | 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 | F(-1) | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 663 | 691 | 4917 | 10155 | 0 | 1793 | 0 | 0 | 0 |
| N.S. |
1 | 1.04 | 7.42 | 15.32 | 0.00 | 2.70 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 5.518 | 37.215 | 20.931 | 0.000 | 0.339 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F(-1) | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 521 | 552 | 4327 | 7649 | 0 | 1553 | 0 | 0 | 0 |
| N.S. |
1 | 1.06 | 8.31 | 14.68 | 0.00 | 2.98 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 4.121 | 48.070 | 14.347 | 0.000 | 0.269 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F(-1) | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 401 | 439 | 3834 | 5879 | 0 | 1323 | 0 | 0 | 0 |
| N.S. |
1 | 1.09 | 9.56 | 14.66 | 0.00 | 3.30 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 3.087 | 43.755 | 12.032 | 0.000 | 0.211 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 378 | 415 | 673 | 4361 | 0 | 1202 | 0 | 0 | 0 |
| N.S. |
1 | 1.10 | 1.78 | 11.54 | 0.00 | 3.18 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.923 | 25.123 | 8.037 | 0.000 | 0.182 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F(-1) | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 447 | 487 | 244297 | 5906 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.09 | 546.53 | 13.21 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 4.892 | 46.264 | 10.856 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | F | C | C | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | N/A | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 563 | 0 | 290125 | 8475 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.00 | 515.32 | 15.05 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.000 | 42.280 | 13.981 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |