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 | C | B | F(-1) | C | F | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 251 | 251 | 1741 | 1154 | 0 | 304 | 0 | 0 | 688 |
N.S. |
1 | 1.00 | 6.94 | 4.60 | 0.00 | 1.21 | 0.00 | 0.00 | 2.74 |
time (sec) |
N/A | 0.414 | 6.699 | 0.471 | 0.000 | 0.307 | 0.000 | 0.000 | 7.581 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-1) | C | F(-1) | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 267 | 267 | 1364 | 545 | 0 | 264 | 0 | 0 | 507 |
N.S. |
1 | 1.00 | 5.11 | 2.04 | 0.00 | 0.99 | 0.00 | 0.00 | 1.90 |
time (sec) |
N/A | 0.512 | 6.300 | 0.155 | 0.000 | 0.389 | 0.000 | 0.000 | 5.709 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-1) | C | F(-1) | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 231 | 231 | 1697 | 514 | 0 | 241 | 0 | 0 | 430 |
N.S. |
1 | 1.00 | 7.35 | 2.23 | 0.00 | 1.04 | 0.00 | 0.00 | 1.86 |
time (sec) |
N/A | 0.504 | 6.402 | 0.155 | 0.000 | 0.404 | 0.000 | 0.000 | 5.494 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | C | F(-1) | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 227 | 227 | 1688 | 727 | 0 | 264 | 0 | 0 | 376 |
N.S. |
1 | 1.00 | 7.44 | 3.20 | 0.00 | 1.16 | 0.00 | 0.00 | 1.66 |
time (sec) |
N/A | 0.496 | 6.512 | 0.182 | 0.000 | 0.319 | 0.000 | 0.000 | 5.464 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | C | F(-1) | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 226 | 226 | 1672 | 950 | 0 | 267 | 0 | 0 | 358 |
N.S. |
1 | 1.00 | 7.40 | 4.20 | 0.00 | 1.18 | 0.00 | 0.00 | 1.58 |
time (sec) |
N/A | 0.506 | 6.578 | 0.267 | 0.000 | 0.430 | 0.000 | 0.000 | 6.016 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 231 | 231 | 1673 | 1328 | 0 | 272 | 0 | 0 | 408 |
N.S. |
1 | 1.00 | 7.24 | 5.75 | 0.00 | 1.18 | 0.00 | 0.00 | 1.77 |
time (sec) |
N/A | 0.489 | 6.634 | 0.324 | 0.000 | 0.500 | 0.000 | 0.000 | 7.188 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 231 | 231 | 1692 | 1070 | 0 | 281 | 0 | 0 | 436 |
N.S. |
1 | 1.00 | 7.32 | 4.63 | 0.00 | 1.22 | 0.00 | 0.00 | 1.89 |
time (sec) |
N/A | 0.495 | 6.691 | 0.378 | 0.000 | 1.165 | 0.000 | 0.000 | 8.157 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | C | F | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 267 | 267 | 1739 | 1235 | 0 | 304 | 0 | 0 | 457 |
N.S. |
1 | 1.00 | 6.51 | 4.63 | 0.00 | 1.14 | 0.00 | 0.00 | 1.71 |
time (sec) |
N/A | 0.518 | 6.747 | 0.485 | 0.000 | 0.660 | 0.000 | 0.000 | 8.266 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-1) | C | F(-1) | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 310 | 310 | 1416 | 576 | 0 | 287 | 0 | 0 | 764 |
N.S. |
1 | 1.00 | 4.57 | 1.86 | 0.00 | 0.93 | 0.00 | 0.00 | 2.46 |
time (sec) |
N/A | 0.622 | 6.343 | 0.157 | 0.000 | 0.886 | 0.000 | 0.000 | 6.264 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-1) | C | F(-1) | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 274 | 274 | 1751 | 545 | 0 | 264 | 0 | 0 | 601 |
N.S. |
1 | 1.00 | 6.39 | 1.99 | 0.00 | 0.96 | 0.00 | 0.00 | 2.19 |
time (sec) |
N/A | 0.610 | 6.485 | 0.147 | 0.000 | 0.858 | 0.000 | 0.000 | 5.998 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | C | F(-1) | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 270 | 270 | 1742 | 786 | 0 | 287 | 0 | 0 | 548 |
N.S. |
1 | 1.00 | 6.45 | 2.91 | 0.00 | 1.06 | 0.00 | 0.00 | 2.03 |
time (sec) |
N/A | 0.610 | 6.581 | 0.198 | 0.000 | 0.876 | 0.000 | 0.000 | 5.973 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | C | F(-1) | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 269 | 269 | 1451 | 864 | 0 | 284 | 0 | 0 | 468 |
N.S. |
1 | 1.00 | 5.39 | 3.21 | 0.00 | 1.06 | 0.00 | 0.00 | 1.74 |
time (sec) |
N/A | 0.612 | 6.670 | 0.223 | 0.000 | 0.830 | 0.000 | 0.000 | 6.098 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | C | F(-1) | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 267 | 267 | 1449 | 1214 | 0 | 280 | 0 | 0 | 525 |
N.S. |
1 | 1.00 | 5.43 | 4.55 | 0.00 | 1.05 | 0.00 | 0.00 | 1.97 |
time (sec) |
N/A | 0.599 | 6.773 | 0.375 | 0.000 | 0.841 | 0.000 | 0.000 | 8.027 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | C | F(-1) | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 271 | 271 | 1454 | 1535 | 0 | 289 | 0 | 0 | 560 |
N.S. |
1 | 1.00 | 5.37 | 5.66 | 0.00 | 1.07 | 0.00 | 0.00 | 2.07 |
time (sec) |
N/A | 0.611 | 6.868 | 0.406 | 0.000 | 1.465 | 0.000 | 0.000 | 9.530 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | C | F(-2) | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 274 | 274 | 1748 | 1400 | 0 | 304 | 0 | 0 | 724 |
N.S. |
1 | 1.00 | 6.38 | 5.11 | 0.00 | 1.11 | 0.00 | 0.00 | 2.64 |
time (sec) |
N/A | 0.615 | 6.922 | 0.485 | 0.000 | 1.015 | 0.000 | 0.000 | 10.769 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | C | F(-1) | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 310 | 310 | 1795 | 1478 | 0 | 327 | 0 | 0 | 830 |
N.S. |
1 | 1.00 | 5.79 | 4.77 | 0.00 | 1.05 | 0.00 | 0.00 | 2.68 |
time (sec) |
N/A | 0.643 | 7.015 | 0.582 | 0.000 | 0.923 | 0.000 | 0.000 | 10.129 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 210 | 210 | 2117 | 341 | 0 | 316 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 10.08 | 1.62 | 0.00 | 1.50 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.220 | 6.626 | 0.155 | 0.000 | 1.135 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 174 | 174 | 2063 | 320 | 0 | 296 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 11.86 | 1.84 | 0.00 | 1.70 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.209 | 6.577 | 0.142 | 0.000 | 0.858 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F(-2) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 134 | 134 | 2008 | 300 | 0 | 277 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 14.99 | 2.24 | 0.00 | 2.07 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.194 | 6.487 | 0.158 | 0.000 | 0.511 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 93 | 93 | 1973 | 281 | 0 | 266 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 21.22 | 3.02 | 0.00 | 2.86 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.187 | 6.451 | 0.130 | 0.000 | 0.407 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 122 | 122 | 2009 | 353 | 0 | 315 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 16.47 | 2.89 | 0.00 | 2.58 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.199 | 6.532 | 0.182 | 0.000 | 0.693 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | C | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 165 | 165 | 2052 | 467 | 0 | 347 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 12.44 | 2.83 | 0.00 | 2.10 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.217 | 6.912 | 0.266 | 0.000 | 1.145 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-2) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 210 | 210 | 2111 | 785 | 0 | 369 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 10.05 | 3.74 | 0.00 | 1.76 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.229 | 7.245 | 0.355 | 0.000 | 0.492 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 258 | 258 | 2174 | 513 | 0 | 445 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 8.43 | 1.99 | 0.00 | 1.72 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.335 | 6.878 | 0.184 | 0.000 | 0.810 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 214 | 214 | 2120 | 491 | 0 | 426 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 9.91 | 2.29 | 0.00 | 1.99 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.330 | 6.785 | 0.164 | 0.000 | 0.681 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-2) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 180 | 180 | 2064 | 472 | 0 | 406 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 11.47 | 2.62 | 0.00 | 2.26 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.306 | 6.665 | 0.192 | 0.000 | 0.930 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 144 | 144 | 1628 | 509 | 0 | 377 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 11.31 | 3.53 | 0.00 | 2.62 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.279 | 6.537 | 0.158 | 0.000 | 0.481 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 133 | 133 | 1620 | 509 | 0 | 371 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 12.18 | 3.83 | 0.00 | 2.79 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.285 | 6.520 | 0.160 | 0.000 | 1.507 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | C | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 167 | 167 | 1660 | 559 | 0 | 427 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 9.94 | 3.35 | 0.00 | 2.56 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.299 | 6.640 | 0.249 | 0.000 | 1.164 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-2) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 211 | 211 | 2107 | 724 | 0 | 476 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 9.99 | 3.43 | 0.00 | 2.26 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.326 | 7.682 | 0.339 | 0.000 | 1.157 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | C | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 250 | 250 | 2164 | 1045 | 0 | 498 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 8.66 | 4.18 | 0.00 | 1.99 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.344 | 8.412 | 0.424 | 0.000 | 1.041 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 273 | 273 | 2257 | 666 | 0 | 552 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 8.27 | 2.44 | 0.00 | 2.02 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.454 | 7.554 | 0.183 | 0.000 | 1.241 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-2) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 234 | 234 | 2206 | 638 | 0 | 535 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 9.43 | 2.73 | 0.00 | 2.29 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.445 | 7.342 | 0.184 | 0.000 | 0.777 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 201 | 201 | 2175 | 624 | 0 | 524 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 10.82 | 3.10 | 0.00 | 2.61 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.416 | 7.191 | 0.190 | 0.000 | 1.096 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 193 | 193 | 2167 | 624 | 0 | 522 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 11.23 | 3.23 | 0.00 | 2.70 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.411 | 7.030 | 0.178 | 0.000 | 0.941 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | C | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 191 | 191 | 2164 | 624 | 0 | 522 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 11.33 | 3.27 | 0.00 | 2.73 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.408 | 7.000 | 0.184 | 0.000 | 0.539 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | C | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 229 | 229 | 2205 | 789 | 0 | 574 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 9.63 | 3.45 | 0.00 | 2.51 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.430 | 7.348 | 0.230 | 0.000 | 1.434 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | C | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 268 | 268 | 2248 | 1013 | 0 | 603 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 8.39 | 3.78 | 0.00 | 2.25 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.453 | 8.273 | 0.482 | 0.000 | 1.334 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | C | F(-2) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 278 | 278 | 2319 | 680 | 0 | 659 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 8.34 | 2.45 | 0.00 | 2.37 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.572 | 7.719 | 0.227 | 0.000 | 1.141 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | C | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 244 | 244 | 2286 | 666 | 0 | 648 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 9.37 | 2.73 | 0.00 | 2.66 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.539 | 7.516 | 0.221 | 0.000 | 1.473 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | C | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 232 | 232 | 1862 | 595 | 0 | 613 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 8.03 | 2.56 | 0.00 | 2.64 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.529 | 7.306 | 0.208 | 0.000 | 0.635 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | C | F(-2) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 229 | 229 | 1862 | 595 | 0 | 613 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 8.13 | 2.60 | 0.00 | 2.68 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.515 | 7.143 | 0.204 | 0.000 | 1.229 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | C | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 234 | 234 | 1862 | 595 | 0 | 615 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 7.96 | 2.54 | 0.00 | 2.63 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.521 | 7.182 | 0.218 | 0.000 | 0.595 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | C | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 276 | 276 | 2316 | 1017 | 0 | 700 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 8.39 | 3.68 | 0.00 | 2.54 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.572 | 7.601 | 0.284 | 0.000 | 0.684 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 226 | 226 | 127 | 153 | 668 | 125 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.56 | 0.68 | 2.96 | 0.55 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.424 | 0.613 | 0.497 | 0.679 | 2.313 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 178 | 178 | 105 | 120 | 508 | 104 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.59 | 0.67 | 2.85 | 0.58 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.377 | 0.408 | 0.210 | 0.665 | 2.566 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 82 | 89 | 321 | 84 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.64 | 0.69 | 2.49 | 0.65 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.317 | 0.211 | 0.198 | 0.642 | 2.373 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 94 | 222 | 380 | 329 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.67 | 1.59 | 2.71 | 2.35 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.290 | 0.664 | 0.247 | 0.655 | 4.788 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 139 | 139 | 94 | 303 | 970 | 371 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.68 | 2.18 | 6.98 | 2.67 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.300 | 0.812 | 0.224 | 0.673 | 2.148 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 151 | 151 | 109 | 440 | 2167 | 413 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.72 | 2.91 | 14.35 | 2.74 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.311 | 0.760 | 0.167 | 0.724 | 3.217 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 199 | 199 | 140 | 533 | 4002 | 457 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.70 | 2.68 | 20.11 | 2.30 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.374 | 1.441 | 0.178 | 0.828 | 4.939 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 247 | 247 | 178 | 626 | 6492 | 497 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.72 | 2.53 | 26.28 | 2.01 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.435 | 2.269 | 0.182 | 1.078 | 3.825 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 284 | 284 | 158 | 187 | 862 | 154 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.56 | 0.66 | 3.04 | 0.54 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.609 | 2.189 | 0.171 | 0.683 | 4.464 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 232 | 232 | 123 | 154 | 703 | 132 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.53 | 0.66 | 3.03 | 0.57 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.526 | 1.534 | 0.229 | 0.672 | 1.972 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 181 | 181 | 100 | 121 | 513 | 110 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.55 | 0.67 | 2.83 | 0.61 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.407 | 1.053 | 0.207 | 0.679 | 1.688 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 192 | 192 | 115 | 235 | 757 | 385 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.60 | 1.22 | 3.94 | 2.01 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.436 | 1.173 | 0.242 | 0.693 | 1.626 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 197 | 197 | 122 | 366 | 1895 | 429 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.62 | 1.86 | 9.62 | 2.18 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.452 | 1.433 | 0.239 | 0.715 | 2.985 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 203 | 203 | 129 | 472 | 3661 | 445 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.64 | 2.33 | 18.03 | 2.19 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.458 | 1.562 | 0.165 | 0.814 | 2.401 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 201 | 201 | 141 | 534 | 5748 | 467 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.70 | 2.66 | 28.60 | 2.32 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.462 | 2.424 | 0.173 | 0.916 | 2.358 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 253 | 253 | 176 | 627 | 8121 | 509 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.70 | 2.48 | 32.10 | 2.01 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.542 | 3.927 | 0.177 | 1.146 | 2.621 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 303 | 303 | 210 | 720 | 10749 | 551 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.69 | 2.38 | 35.48 | 1.82 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.590 | 6.162 | 0.184 | 1.795 | 3.362 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 334 | 334 | 244 | 222 | 1135 | 189 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.73 | 0.66 | 3.40 | 0.57 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.755 | 6.740 | 0.172 | 0.718 | 4.388 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 284 | 284 | 157 | 189 | 925 | 165 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.55 | 0.67 | 3.26 | 0.58 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.683 | 2.343 | 0.171 | 0.718 | 3.753 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 231 | 231 | 124 | 156 | 751 | 141 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.54 | 0.68 | 3.25 | 0.61 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.472 | 1.624 | 0.224 | 0.698 | 3.314 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 242 | 242 | 137 | 270 | 1005 | 451 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.57 | 1.12 | 4.15 | 1.86 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.562 | 1.896 | 0.161 | 0.721 | 3.999 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 243 | 243 | 149 | 410 | 8464 | 495 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.61 | 1.69 | 34.83 | 2.04 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.600 | 1.577 | 0.171 | 0.959 | 3.553 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 253 | 253 | 155 | 536 | 5414 | 509 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.61 | 2.12 | 21.40 | 2.01 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.598 | 1.997 | 0.178 | 3.550 | 3.924 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 253 | 253 | 157 | 567 | 17788 | 515 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.62 | 2.24 | 70.31 | 2.04 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.599 | 2.656 | 0.175 | 3.756 | 3.167 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 253 | 253 | 178 | 629 | 10154 | 533 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.70 | 2.49 | 40.13 | 2.11 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.594 | 4.228 | 0.179 | 3.935 | 2.485 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 301 | 301 | 212 | 722 | 12710 | 579 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.70 | 2.40 | 42.23 | 1.92 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.679 | 6.516 | 0.190 | 1.913 | 3.152 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | B | A | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 353 | 353 | 947 | 815 | 16461 | 625 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.68 | 2.31 | 46.63 | 1.77 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.741 | 6.578 | 0.200 | 3.287 | 5.730 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 257 | 257 | 178 | 286 | 970 | 416 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.69 | 1.11 | 3.77 | 1.62 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.591 | 0.908 | 0.174 | 0.723 | 4.317 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 211 | 211 | 163 | 253 | 774 | 378 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.77 | 1.20 | 3.67 | 1.79 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.468 | 0.579 | 0.244 | 0.701 | 2.908 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 163 | 163 | 88 | 220 | 566 | 340 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.54 | 1.35 | 3.47 | 2.09 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.335 | 0.719 | 0.215 | 0.685 | 4.119 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 178 | 178 | 96 | 250 | 800 | 501 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.54 | 1.40 | 4.49 | 2.81 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.350 | 0.643 | 0.221 | 0.705 | 3.147 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 181 | 181 | 113 | 375 | 19132 | 580 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.62 | 2.07 | 105.70 | 3.20 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.362 | 0.606 | 0.164 | 0.884 | 2.994 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 235 | 235 | 127 | 545 | 3334 | 636 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.54 | 2.32 | 14.19 | 2.71 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.502 | 1.196 | 0.169 | 0.823 | 4.617 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 281 | 281 | 154 | 638 | 5590 | 680 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.55 | 2.27 | 19.89 | 2.42 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.635 | 1.217 | 0.181 | 0.929 | 3.691 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 184 | 184 | 137 | 283 | 890 | 553 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.74 | 1.54 | 4.84 | 3.01 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.413 | 0.445 | 0.246 | 0.762 | 3.207 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 283 | 283 | 135 | 450 | 0 | 510 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.48 | 1.59 | 0.00 | 1.80 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.638 | 3.186 | 0.168 | 0.000 | 1.982 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 233 | 233 | 113 | 359 | 37260 | 466 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.48 | 1.54 | 159.91 | 2.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.502 | 2.119 | 0.241 | 1.264 | 2.725 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 181 | 181 | 96 | 306 | 9341 | 430 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.53 | 1.69 | 51.61 | 2.38 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.359 | 1.655 | 0.237 | 0.817 | 3.362 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 189 | 189 | 118 | 374 | 4285 | 612 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.62 | 1.98 | 22.67 | 3.24 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.384 | 1.770 | 0.177 | 0.784 | 5.072 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F(-1) | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 242 | 242 | 532 | 553 | 0 | 728 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.20 | 2.29 | 0.00 | 3.01 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.525 | 6.615 | 0.171 | 0.000 | 2.833 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 300 | 300 | 239 | 731 | 15483 | 808 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.80 | 2.44 | 51.61 | 2.69 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.667 | 2.488 | 0.175 | 2.144 | 3.770 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 333 | 333 | 173 | 647 | 250341 | 614 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.52 | 1.94 | 751.77 | 1.84 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.778 | 4.336 | 0.171 | 8.977 | 7.873 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 281 | 281 | 146 | 550 | 157292 | 578 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.52 | 1.96 | 559.76 | 2.06 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.652 | 3.327 | 0.183 | 5.423 | 2.766 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 231 | 231 | 128 | 500 | 264379 | 536 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.55 | 2.16 | 1144.50 | 2.32 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.501 | 2.748 | 0.174 | 3.945 | 2.274 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 183 | 183 | 119 | 474 | 8402 | 518 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.65 | 2.59 | 45.91 | 2.83 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.383 | 2.085 | 0.175 | 1.722 | 3.973 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 241 | 241 | 153 | 675 | 10341 | 752 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.63 | 2.80 | 42.91 | 3.12 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.514 | 3.392 | 0.177 | 1.592 | 5.207 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-1) | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 294 | 294 | 568 | 972 | 0 | 884 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.93 | 3.31 | 0.00 | 3.01 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.676 | 6.714 | 0.184 | 0.000 | 11.450 | 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 | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 190 | 190 | 143 | 565 | 0 | 246 | 0 | 0 | 254 |
N.S. |
1 | 1.00 | 0.75 | 2.97 | 0.00 | 1.29 | 0.00 | 0.00 | 1.34 |
time (sec) |
N/A | 0.214 | 1.069 | 0.151 | 0.000 | 0.842 | 0.000 | 0.000 | 5.369 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 154 | 154 | 117 | 515 | 0 | 222 | 0 | 0 | 216 |
N.S. |
1 | 1.00 | 0.76 | 3.34 | 0.00 | 1.44 | 0.00 | 0.00 | 1.40 |
time (sec) |
N/A | 0.196 | 0.954 | 0.142 | 0.000 | 1.249 | 0.000 | 0.000 | 5.075 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 116 | 116 | 1569 | 465 | 0 | 195 | 0 | 0 | 162 |
N.S. |
1 | 1.00 | 13.53 | 4.01 | 0.00 | 1.68 | 0.00 | 0.00 | 1.40 |
time (sec) |
N/A | 0.184 | 6.548 | 0.148 | 0.000 | 0.591 | 0.000 | 0.000 | 5.018 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-2) | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 106 | 106 | 1904 | 388 | 0 | 216 | 0 | 0 | 146 |
N.S. |
1 | 1.00 | 17.96 | 3.66 | 0.00 | 2.04 | 0.00 | 0.00 | 1.38 |
time (sec) |
N/A | 0.185 | 7.000 | 0.152 | 0.000 | 0.976 | 0.000 | 0.000 | 5.413 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 112 | 112 | 1909 | 639 | 0 | 229 | 0 | 0 | 184 |
N.S. | 1 | 1.00 | 17.04 | 5.71 | 0.00 | 2.04 | 0.00 | 0.00 | 1.64 |
time (sec) |
N/A | 0.200 | 7.046 | 0.230 | 0.000 | 1.110 | 0.000 | 0.000 | 6.343 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 152 | 152 | 136 | 715 | 0 | 260 | 0 | 0 | 217 |
N.S. | 1 | 1.00 | 0.89 | 4.70 | 0.00 | 1.71 | 0.00 | 0.00 | 1.43 |
time (sec) |
N/A | 0.217 | 1.682 | 0.328 | 0.000 | 0.652 | 0.000 | 0.000 | 7.093 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-1) | C | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 190 | 190 | 173 | 824 | 0 | 288 | 0 | 0 | 223 |
N.S. |
1 | 1.00 | 0.91 | 4.34 | 0.00 | 1.52 | 0.00 | 0.00 | 1.17 |
time (sec) |
N/A | 0.227 | 4.492 | 0.383 | 0.000 | 1.509 | 0.000 | 0.000 | 7.803 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-1) | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 250 | 250 | 194 | 784 | 0 | 318 | 0 | 0 | 366 |
N.S. |
1 | 1.00 | 0.78 | 3.14 | 0.00 | 1.27 | 0.00 | 0.00 | 1.46 |
time (sec) |
N/A | 0.416 | 1.417 | 0.183 | 0.000 | 1.501 | 0.000 | 0.000 | 5.884 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | C | F(-1) | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 202 | 202 | 2361 | 706 | 0 | 281 | 0 | 0 | 303 |
N.S. |
1 | 1.00 | 11.69 | 3.50 | 0.00 | 1.39 | 0.00 | 0.00 | 1.50 |
time (sec) |
N/A | 0.399 | 6.927 | 0.161 | 0.000 | 1.464 | 0.000 | 0.000 | 5.687 |