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 | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 272 | 272 | 438 | 330 | 0 | 1343 | 0 | 384 | 2500 |
N.S. |
1 | 1.00 | 1.61 | 1.21 | 0.00 | 4.94 | 0.00 | 1.41 | 9.19 |
time (sec) |
N/A | 0.658 | 6.300 | 0.514 | 0.000 | 28.381 | 0.000 | 0.537 | 13.701 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 164 | 164 | 240 | 245 | 0 | 1114 | 0 | 404 | 2500 |
N.S. |
1 | 1.00 | 1.46 | 1.49 | 0.00 | 6.79 | 0.00 | 2.46 | 15.24 |
time (sec) |
N/A | 0.455 | 2.336 | 0.407 | 0.000 | 19.920 | 0.000 | 0.488 | 12.681 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 131 | 131 | 191 | 185 | 0 | 694 | 0 | 229 | 2500 |
N.S. |
1 | 1.00 | 1.46 | 1.41 | 0.00 | 5.30 | 0.00 | 1.75 | 19.08 |
time (sec) |
N/A | 0.227 | 0.748 | 0.310 | 0.000 | 9.018 | 0.000 | 0.498 | 11.898 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 100 | 100 | 97 | 132 | 0 | 389 | 0 | 174 | 106 |
N.S. |
1 | 1.00 | 0.97 | 1.32 | 0.00 | 3.89 | 0.00 | 1.74 | 1.06 |
time (sec) |
N/A | 0.094 | 0.396 | 0.146 | 0.000 | 2.547 | 0.000 | 0.478 | 4.059 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 124 | 124 | 119 | 168 | 0 | 561 | 0 | 201 | 2500 |
N.S. |
1 | 1.00 | 0.96 | 1.35 | 0.00 | 4.52 | 0.00 | 1.62 | 20.16 |
time (sec) |
N/A | 0.202 | 0.598 | 0.191 | 0.000 | 2.599 | 0.000 | 0.500 | 12.091 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 180 | 180 | 147 | 213 | 0 | 788 | 0 | 1107 | 2500 |
N.S. |
1 | 1.00 | 0.82 | 1.18 | 0.00 | 4.38 | 0.00 | 6.15 | 13.89 |
time (sec) |
N/A | 0.461 | 0.883 | 0.251 | 0.000 | 3.068 | 0.000 | 0.591 | 9.045 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 261 | 261 | 184 | 270 | 0 | 970 | 0 | 340 | 2500 |
N.S. |
1 | 1.00 | 0.70 | 1.03 | 0.00 | 3.72 | 0.00 | 1.30 | 9.58 |
time (sec) |
N/A | 0.675 | 1.135 | 0.292 | 0.000 | 4.192 | 0.000 | 0.517 | 13.928 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 289 | 289 | 418 | 380 | 0 | 2111 | 0 | 581 | 2500 |
N.S. |
1 | 1.00 | 1.45 | 1.31 | 0.00 | 7.30 | 0.00 | 2.01 | 8.65 |
time (sec) |
N/A | 1.032 | 6.518 | 0.777 | 0.000 | 78.245 | 0.000 | 0.574 | 17.503 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 220 | 220 | 270 | 305 | 0 | 1419 | 0 | 486 | 2500 |
N.S. |
1 | 1.00 | 1.23 | 1.39 | 0.00 | 6.45 | 0.00 | 2.21 | 11.36 |
time (sec) |
N/A | 0.545 | 1.816 | 0.576 | 0.000 | 29.097 | 0.000 | 0.562 | 14.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 180 | 180 | 157 | 238 | 0 | 750 | 0 | 400 | 251 |
N.S. |
1 | 1.00 | 0.87 | 1.32 | 0.00 | 4.17 | 0.00 | 2.22 | 1.39 |
time (sec) |
N/A | 0.272 | 0.751 | 0.269 | 0.000 | 3.034 | 0.000 | 0.547 | 7.394 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 164 | 164 | 172 | 236 | 0 | 752 | 0 | 399 | 251 |
N.S. |
1 | 1.00 | 1.05 | 1.44 | 0.00 | 4.59 | 0.00 | 2.43 | 1.53 |
time (sec) |
N/A | 0.198 | 0.960 | 0.233 | 0.000 | 3.224 | 0.000 | 0.519 | 7.264 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 205 | 205 | 203 | 287 | 0 | 1152 | 0 | 457 | 2500 |
N.S. |
1 | 1.00 | 0.99 | 1.40 | 0.00 | 5.62 | 0.00 | 2.23 | 12.20 |
time (sec) |
N/A | 0.433 | 1.493 | 0.310 | 0.000 | 3.663 | 0.000 | 0.581 | 15.432 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 290 | 290 | 232 | 347 | 0 | 1568 | 0 | 546 | 2500 |
N.S. |
1 | 1.00 | 0.80 | 1.20 | 0.00 | 5.41 | 0.00 | 1.88 | 8.62 |
time (sec) |
N/A | 1.090 | 2.144 | 0.404 | 0.000 | 3.926 | 0.000 | 0.553 | 12.587 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 485 | 485 | 3734 | 4395 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 7.70 | 9.06 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.015 | 25.916 | 0.805 | 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 | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 397 | 397 | 3330 | 3438 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 8.39 | 8.66 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.688 | 23.655 | 0.513 | 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 | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 314 | 314 | 434 | 2500 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.38 | 7.96 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.423 | 17.791 | 0.329 | 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 | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 256 | 256 | 358 | 1752 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.40 | 6.84 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.203 | 14.965 | 0.218 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 320 | 320 | 863 | 1372 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.70 | 4.29 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.270 | 17.734 | 0.183 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 344 | 344 | 1107 | 1386 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 3.22 | 4.03 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.321 | 17.829 | 0.227 | 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 | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 429 | 429 | 1149 | 2065 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.68 | 4.81 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.563 | 18.156 | 0.184 | 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 | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 573 | 573 | 4220 | 5368 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 7.36 | 9.37 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.382 | 26.641 | 1.273 | 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 | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 475 | 475 | 3766 | 4394 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 7.93 | 9.25 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.862 | 25.975 | 0.796 | 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 | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 387 | 387 | 3342 | 3424 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 8.64 | 8.85 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.575 | 23.899 | 0.507 | 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 | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 312 | 312 | 456 | 2683 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.46 | 8.60 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.326 | 18.450 | 0.333 | 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(-2) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 380 | 380 | 6017 | 2340 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 15.83 | 6.16 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.373 | 24.453 | 0.229 | 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(-2) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 361 | 361 | 971 | 2196 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.69 | 6.08 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.378 | 15.800 | 0.223 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 428 | 428 | 1580 | 2439 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 3.69 | 5.70 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.611 | 19.139 | 0.186 | 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 | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 520 | 520 | 1516 | 3142 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.92 | 6.04 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.905 | 19.015 | 0.234 | 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 | F(-2) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 565 | 565 | 4227 | 5368 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 7.48 | 9.50 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.262 | 26.766 | 1.273 | 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 | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 469 | 469 | 3781 | 4395 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 8.06 | 9.37 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.817 | 25.784 | 0.783 | 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 | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 384 | 384 | 2913 | 3637 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 7.59 | 9.47 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.481 | 22.810 | 0.507 | 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 | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 442 | 442 | 7094 | 3285 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 16.05 | 7.43 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.502 | 25.350 | 0.348 | 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 | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 433 | 433 | 7745 | 3215 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 17.89 | 7.42 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.542 | 25.522 | 0.322 | 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 | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 450 | 450 | 1326 | 3271 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.95 | 7.27 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.615 | 19.200 | 0.322 | 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 | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 518 | 518 | 1530 | 3511 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.95 | 6.78 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.893 | 19.408 | 0.249 | 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 | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 617 | 617 | 5172 | 4231 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 8.38 | 6.86 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.257 | 24.008 | 0.309 | 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 | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 411 | 411 | 3426 | 3439 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 8.34 | 8.37 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.718 | 24.065 | 0.536 | 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 | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 329 | 329 | 3000 | 2500 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 9.12 | 7.60 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.476 | 21.503 | 0.345 | 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 | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 261 | 261 | 372 | 1567 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.43 | 6.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.305 | 15.262 | 0.224 | 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 | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 210 | 210 | 312 | 829 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.49 | 3.95 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.121 | 13.870 | 0.188 | 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 | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 208 | 208 | 145 | 215 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.70 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.153 | 2.380 | 0.174 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 348 | 348 | 1027 | 1028 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.95 | 2.95 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.353 | 16.239 | 0.211 | 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 | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 471 | 471 | 3953 | 4320 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 8.39 | 9.17 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.872 | 26.232 | 0.588 | 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 | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 329 | 329 | 3460 | 3329 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 10.52 | 10.12 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.564 | 24.431 | 0.343 | 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 | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 275 | 275 | 466 | 2275 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.69 | 8.27 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.356 | 18.023 | 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 | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 254 | 254 | 426 | 1634 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.68 | 6.43 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.219 | 14.731 | 0.205 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 376 | 376 | 1445 | 2009 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 3.84 | 5.34 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.363 | 14.381 | 0.216 | 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 | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 427 | 427 | 1597 | 2871 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 3.74 | 6.72 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.559 | 19.220 | 0.188 | 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 | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 509 | 509 | 4342 | 8044 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 8.53 | 15.80 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.085 | 27.008 | 0.763 | 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 | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 417 | 417 | 3920 | 6455 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 9.40 | 15.48 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.688 | 26.013 | 0.375 | 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 | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 387 | 387 | 3514 | 5167 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 9.08 | 13.35 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.503 | 23.735 | 0.206 | 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 | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 353 | 353 | 3181 | 4213 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 9.01 | 11.93 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.368 | 21.873 | 0.188 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 495 | 495 | 2039 | 5712 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 4.12 | 11.54 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.597 | 16.808 | 0.207 | 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 | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 446 | 446 | 3729 | 7695 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 8.36 | 17.25 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.574 | 24.641 | 0.289 | 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 | 101 | 101 | 76 | 217 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.75 | 2.15 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.195 | 20.647 | 0.073 | 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 | 91 | 277 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.66 | 2.01 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.342 | 0.303 | 0.367 | 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 | 229 | 229 | 21744 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 94.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.207 | 41.020 | 0.068 | 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 | 229 | 229 | 21684 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 94.69 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.184 | 43.506 | 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 | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 226 | 226 | 12792 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 56.60 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.185 | 40.550 | 0.069 | 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 | 226 | 226 | 12774 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 56.52 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.181 | 46.023 | 0.067 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 165 | 165 | 124 | 210 | 266 | 182 | 0 | 473 | 301 |
N.S. | 1 | 1.00 | 0.75 | 1.27 | 1.61 | 1.10 | 0.00 | 2.87 | 1.82 |
time (sec) |
N/A | 0.166 | 1.261 | 0.102 | 0.288 | 2.167 | 0.000 | 0.517 | 7.671 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 137 | 137 | 100 | 174 | 218 | 158 | 0 | 428 | 260 |
N.S. | 1 | 1.00 | 0.73 | 1.27 | 1.59 | 1.15 | 0.00 | 3.12 | 1.90 |
time (sec) |
N/A | 0.150 | 0.751 | 0.086 | 0.272 | 2.766 | 0.000 | 0.517 | 7.720 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 75 | 131 | 155 | 128 | 0 | 261 | 190 |
N.S. | 1 | 1.00 | 0.74 | 1.30 | 1.53 | 1.27 | 0.00 | 2.58 | 1.88 |
time (sec) |
N/A | 0.102 | 0.439 | 0.066 | 0.283 | 2.929 | 0.000 | 0.479 | 7.656 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 92 | 100 | 116 | 118 | 0 | 170 | 164 |
N.S. | 1 | 1.00 | 1.33 | 1.45 | 1.68 | 1.71 | 0.00 | 2.46 | 2.38 |
time (sec) |
N/A | 0.054 | 0.037 | 0.056 | 0.287 | 3.697 | 0.000 | 0.507 | 4.588 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 52 | 52 | 71 | 74 | 92 | 101 | 0 | 134 | 153 |
N.S. | 1 | 1.00 | 1.37 | 1.42 | 1.77 | 1.94 | 0.00 | 2.58 | 2.94 |
time (sec) |
N/A | 0.088 | 0.034 | 0.075 | 0.293 | 3.102 | 0.000 | 0.492 | 4.260 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 68 | 82 | 89 | 73 | 0 | 159 | 156 |
N.S. | 1 | 1.00 | 0.99 | 1.19 | 1.29 | 1.06 | 0.00 | 2.30 | 2.26 |
time (sec) |
N/A | 0.115 | 0.149 | 0.086 | 0.277 | 3.590 | 0.000 | 0.486 | 4.106 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 85 | 102 | 98 | 70 | 0 | 227 | 100 |
N.S. | 1 | 1.00 | 0.92 | 1.11 | 1.07 | 0.76 | 0.00 | 2.47 | 1.09 |
time (sec) |
N/A | 0.132 | 0.218 | 0.094 | 0.274 | 2.105 | 0.000 | 0.508 | 4.040 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 116 | 116 | 117 | 141 | 132 | 97 | 0 | 392 | 150 |
N.S. |
1 | 1.00 | 1.01 | 1.22 | 1.14 | 0.84 | 0.00 | 3.38 | 1.29 |
time (sec) |
N/A | 0.159 | 0.375 | 0.110 | 0.301 | 3.392 | 0.000 | 0.465 | 3.899 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 156 | 156 | 147 | 173 | 166 | 121 | 0 | 437 | 258 |
N.S. |
1 | 1.00 | 0.94 | 1.11 | 1.06 | 0.78 | 0.00 | 2.80 | 1.65 |
time (sec) |
N/A | 0.170 | 0.419 | 0.122 | 0.307 | 3.106 | 0.000 | 0.497 | 7.629 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 233 | 281 | 371 | 292 | 357 | 243 | 0 | 766 | 455 |
N.S. | 1 | 1.21 | 1.59 | 1.25 | 1.53 | 1.04 | 0.00 | 3.29 | 1.95 |
time (sec) |
N/A | 0.417 | 2.255 | 0.118 | 0.294 | 4.579 | 0.000 | 0.527 | 7.477 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 200 | 200 | 300 | 251 | 306 | 209 | 0 | 630 | 389 |
N.S. | 1 | 1.00 | 1.50 | 1.26 | 1.53 | 1.04 | 0.00 | 3.15 | 1.94 |
time (sec) |
N/A | 0.255 | 1.673 | 0.100 | 0.289 | 3.211 | 0.000 | 0.514 | 8.190 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 134 | 134 | 322 | 183 | 207 | 179 | 0 | 364 | 512 |
N.S. | 1 | 1.00 | 2.40 | 1.37 | 1.54 | 1.34 | 0.00 | 2.72 | 3.82 |
time (sec) |
N/A | 0.132 | 1.773 | 0.080 | 0.305 | 3.530 | 0.000 | 0.523 | 5.910 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 126 | 126 | 453 | 152 | 189 | 165 | 0 | 241 | 257 |
N.S. | 1 | 1.00 | 3.60 | 1.21 | 1.50 | 1.31 | 0.00 | 1.91 | 2.04 |
time (sec) |
N/A | 0.150 | 1.306 | 0.105 | 0.288 | 3.008 | 0.000 | 0.476 | 6.155 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 153 | 134 | 148 | 147 | 0 | 229 | 274 |
N.S. | 1 | 1.00 | 1.30 | 1.14 | 1.25 | 1.25 | 0.00 | 1.94 | 2.32 |
time (sec) |
N/A | 0.228 | 1.204 | 0.106 | 0.282 | 3.053 | 0.000 | 0.505 | 4.640 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 141 | 141 | 157 | 154 | 157 | 127 | 0 | 346 | 263 |
N.S. | 1 | 1.00 | 1.11 | 1.09 | 1.11 | 0.90 | 0.00 | 2.45 | 1.87 |
time (sec) |
N/A | 0.262 | 0.526 | 0.109 | 0.319 | 3.471 | 0.000 | 0.522 | 4.554 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 175 | 175 | 134 | 200 | 187 | 134 | 0 | 577 | 214 |
N.S. |
1 | 1.00 | 0.77 | 1.14 | 1.07 | 0.77 | 0.00 | 3.30 | 1.22 |
time (sec) |
N/A | 0.316 | 0.755 | 0.122 | 0.305 | 2.736 | 0.000 | 0.520 | 4.130 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-2) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 215 | 215 | 169 | 244 | 233 | 171 | 0 | 720 | 256 |
N.S. |
1 | 1.00 | 0.79 | 1.13 | 1.08 | 0.80 | 0.00 | 3.35 | 1.19 |
time (sec) |
N/A | 0.361 | 0.808 | 0.144 | 0.289 | 2.843 | 0.000 | 0.520 | 4.550 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 381 | 381 | 384 | 444 | 565 | 342 | 0 | 1370 | 769 |
N.S. | 1 | 1.00 | 1.01 | 1.17 | 1.48 | 0.90 | 0.00 | 3.60 | 2.02 |
time (sec) |
N/A | 0.608 | 3.187 | 0.161 | 0.289 | 3.699 | 0.000 | 0.558 | 6.247 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 286 | 286 | 451 | 369 | 445 | 292 | 0 | 989 | 601 |
N.S. | 1 | 1.00 | 1.58 | 1.29 | 1.56 | 1.02 | 0.00 | 3.46 | 2.10 |
time (sec) |
N/A | 0.423 | 2.903 | 0.129 | 0.288 | 3.892 | 0.000 | 0.556 | 6.742 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 207 | 207 | 525 | 303 | 358 | 257 | 0 | 759 | 2500 |
N.S. | 1 | 1.00 | 2.54 | 1.46 | 1.73 | 1.24 | 0.00 | 3.67 | 12.08 |
time (sec) |
N/A | 0.247 | 5.318 | 0.112 | 0.281 | 3.860 | 0.000 | 0.517 | 6.906 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 192 | 192 | 509 | 235 | 280 | 225 | 0 | 438 | 2437 |
N.S. | 1 | 1.00 | 2.65 | 1.22 | 1.46 | 1.17 | 0.00 | 2.28 | 12.69 |
time (sec) |
N/A | 0.261 | 6.353 | 0.134 | 0.301 | 2.907 | 0.000 | 0.552 | 6.487 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 204 | 204 | 320 | 212 | 243 | 208 | 0 | 540 | 2500 |
N.S. |
1 | 1.00 | 1.57 | 1.04 | 1.19 | 1.02 | 0.00 | 2.65 | 12.25 |
time (sec) |
N/A | 0.323 | 2.920 | 0.134 | 0.277 | 3.043 | 0.000 | 0.555 | 7.199 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 196 | 196 | 263 | 206 | 216 | 201 | 0 | 418 | 2470 |
N.S. |
1 | 1.00 | 1.34 | 1.05 | 1.10 | 1.03 | 0.00 | 2.13 | 12.60 |
time (sec) |
N/A | 0.418 | 1.377 | 0.138 | 0.296 | 3.262 | 0.000 | 0.552 | 6.410 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-2) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 223 | 223 | 215 | 251 | 246 | 189 | 0 | 723 | 2500 |
N.S. |
1 | 1.00 | 0.96 | 1.13 | 1.10 | 0.85 | 0.00 | 3.24 | 11.21 |
time (sec) |
N/A | 0.448 | 0.981 | 0.146 | 0.284 | 2.825 | 0.000 | 0.557 | 7.314 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-2) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 269 | 269 | 288 | 301 | 288 | 207 | 0 | 926 | 359 |
N.S. |
1 | 1.00 | 1.07 | 1.12 | 1.07 | 0.77 | 0.00 | 3.44 | 1.33 |
time (sec) |
N/A | 0.519 | 1.127 | 0.085 | 0.299 | 2.722 | 0.000 | 0.528 | 4.933 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-2) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 320 | 320 | 369 | 370 | 360 | 256 | 0 | 1307 | 471 |
N.S. |
1 | 1.00 | 1.15 | 1.16 | 1.12 | 0.80 | 0.00 | 4.08 | 1.47 |
time (sec) |
N/A | 0.610 | 1.200 | 0.099 | 0.280 | 2.981 | 0.000 | 0.559 | 5.820 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 491 | 491 | 486 | 592 | 746 | 450 | 0 | 1888 | 1044 |
N.S. | 1 | 1.00 | 0.99 | 1.21 | 1.52 | 0.92 | 0.00 | 3.85 | 2.13 |
time (sec) |
N/A | 0.865 | 4.617 | 0.197 | 0.304 | 3.141 | 0.000 | 0.602 | 7.749 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 384 | 384 | 424 | 521 | 653 | 391 | 0 | 1658 | 942 |
N.S. | 1 | 1.00 | 1.10 | 1.36 | 1.70 | 1.02 | 0.00 | 4.32 | 2.45 |
time (sec) |
N/A | 0.614 | 3.699 | 0.179 | 0.291 | 4.432 | 0.000 | 0.612 | 6.318 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 290 | 290 | 690 | 421 | 497 | 340 | 0 | 1140 | 2500 |
N.S. | 1 | 1.00 | 2.38 | 1.45 | 1.71 | 1.17 | 0.00 | 3.93 | 8.62 |
time (sec) |
N/A | 0.388 | 4.157 | 0.144 | 0.310 | 5.036 | 0.000 | 0.539 | 7.879 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 273 | 273 | 813 | 355 | 431 | 302 | 0 | 840 | 2500 |
N.S. |
1 | 1.00 | 2.98 | 1.30 | 1.58 | 1.11 | 0.00 | 3.08 | 9.16 |
time (sec) |
N/A | 0.415 | 6.896 | 0.171 | 0.288 | 4.667 | 0.000 | 0.585 | 8.806 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 274 | 274 | 348 | 295 | 335 | 269 | 0 | 550 | 2500 |
N.S. |
1 | 1.00 | 1.27 | 1.08 | 1.22 | 0.98 | 0.00 | 2.01 | 9.12 |
time (sec) |
N/A | 0.476 | 2.397 | 0.173 | 0.287 | 3.684 | 0.000 | 0.574 | 8.936 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-2) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 303 | 303 | 370 | 284 | 311 | 262 | 0 | 543 | 2500 |
N.S. |
1 | 1.00 | 1.22 | 0.94 | 1.03 | 0.86 | 0.00 | 1.79 | 8.25 |
time (sec) |
N/A | 0.592 | 4.705 | 0.172 | 0.287 | 3.421 | 0.000 | 0.556 | 8.387 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-2) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 293 | 293 | 382 | 304 | 305 | 263 | 0 | 802 | 2500 |
N.S. |
1 | 1.00 | 1.30 | 1.04 | 1.04 | 0.90 | 0.00 | 2.74 | 8.53 |
time (sec) |
N/A | 0.679 | 3.885 | 0.093 | 0.289 | 3.520 | 0.000 | 0.532 | 8.624 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-2) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 314 | 314 | 382 | 355 | 347 | 262 | 0 | 1094 | 2500 |
N.S. |
1 | 1.00 | 1.22 | 1.13 | 1.11 | 0.83 | 0.00 | 3.48 | 7.96 |
time (sec) |
N/A | 0.734 | 1.246 | 0.102 | 0.297 | 4.518 | 0.000 | 0.576 | 7.804 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-2) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 372 | 372 | 432 | 431 | 415 | 292 | 0 | 1578 | 534 |
N.S. |
1 | 1.00 | 1.16 | 1.16 | 1.12 | 0.78 | 0.00 | 4.24 | 1.44 |
time (sec) |
N/A | 0.839 | 1.596 | 0.099 | 0.310 | 2.387 | 0.000 | 0.549 | 7.136 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 438 | 438 | 528 | 505 | 498 | 354 | 0 | 1815 | 675 |
N.S. |
1 | 1.00 | 1.21 | 1.15 | 1.14 | 0.81 | 0.00 | 4.14 | 1.54 |
time (sec) |
N/A | 0.962 | 1.472 | 0.108 | 0.300 | 2.744 | 0.000 | 0.541 | 9.475 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 214 | 214 | 170 | 278 | 320 | 268 | 0 | 658 | 2500 |
N.S. | 1 | 1.00 | 0.79 | 1.30 | 1.50 | 1.25 | 0.00 | 3.07 | 11.68 |
time (sec) |
N/A | 0.346 | 1.344 | 0.116 | 0.312 | 3.307 | 0.000 | 0.564 | 6.700 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 149 | 149 | 114 | 183 | 204 | 199 | 0 | 301 | 576 |
N.S. | 1 | 1.00 | 0.77 | 1.23 | 1.37 | 1.34 | 0.00 | 2.02 | 3.87 |
time (sec) |
N/A | 0.221 | 0.981 | 0.083 | 0.286 | 2.515 | 0.000 | 0.546 | 6.718 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 97 | 97 | 77 | 129 | 142 | 154 | 0 | 213 | 221 |
N.S. | 1 | 1.00 | 0.79 | 1.33 | 1.46 | 1.59 | 0.00 | 2.20 | 2.28 |
time (sec) |
N/A | 0.123 | 0.609 | 0.065 | 0.302 | 2.859 | 0.000 | 0.496 | 5.397 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-2) | A | F | B | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 215 | 215 | 512 | 369 | 0 | 817 | 0 | 483 | 2500 |
N.S. |
1 | 1.00 | 2.38 | 1.72 | 0.00 | 3.80 | 0.00 | 2.25 | 11.63 |
time (sec) |
N/A | 0.534 | 3.787 | 0.360 | 0.000 | 38.972 | 0.000 | 0.545 | 14.382 |