Detailed conclusion table per each integral is given by the table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given as F.
In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 252 | 252 | 438 | 373 | 0 | 1114 | 0 | 693 | 483 |
N.S. |
1 | 1.00 | 1.74 | 1.48 | 0.00 | 4.42 | 0.00 | 2.75 | 1.92 |
time (sec) |
N/A | 0.647 | 6.241 | 0.629 | 0.000 | 0.359 | 0.000 | 0.372 | 21.144 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 292 | 292 | 995 | 483 | 0 | 1756 | 0 | 845 | 9761 |
N.S. |
1 | 1.00 | 3.41 | 1.65 | 0.00 | 6.01 | 0.00 | 2.89 | 33.43 |
time (sec) |
N/A | 1.139 | 8.153 | 0.579 | 0.000 | 0.394 | 0.000 | 0.383 | 34.633 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 367 | 367 | 534 | 503 | 0 | 1925 | 0 | 847 | 10120 |
N.S. |
1 | 1.00 | 1.46 | 1.37 | 0.00 | 5.25 | 0.00 | 2.31 | 27.57 |
time (sec) |
N/A | 1.929 | 9.272 | 1.184 | 0.000 | 0.435 | 0.000 | 0.388 | 30.723 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 513 | 513 | 1452 | 619 | 0 | 2465 | 0 | 1031 | 14266 |
N.S. |
1 | 1.00 | 2.83 | 1.21 | 0.00 | 4.81 | 0.00 | 2.01 | 27.81 |
time (sec) |
N/A | 2.720 | 8.670 | 1.832 | 0.000 | 0.543 | 0.000 | 0.402 | 37.291 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 30 | 0 | 36 | 41 | 43 | 57 |
N.S. |
1 | 1.00 | 1.00 | 1.76 | 0.00 | 2.12 | 2.41 | 2.53 | 3.35 |
time (sec) |
N/A | 0.047 | 0.010 | 0.132 | 0.000 | 0.284 | 1.401 | 0.325 | 16.984 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 52 | 52 | 56 | 59 | 0 | 226 | 0 | 235 | 182 |
N.S. |
1 | 1.00 | 1.08 | 1.13 | 0.00 | 4.35 | 0.00 | 4.52 | 3.50 |
time (sec) |
N/A | 0.148 | 0.249 | 0.189 | 0.000 | 0.349 | 0.000 | 0.303 | 16.715 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 107 | 139 | 151 | 0 | 481 | 0 | 175 | 2739 |
N.S. |
1 | 1.00 | 1.30 | 1.41 | 0.00 | 4.50 | 0.00 | 1.64 | 25.60 |
time (sec) |
N/A | 0.238 | 0.902 | 0.276 | 0.000 | 0.284 | 0.000 | 0.358 | 21.846 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 162 | 162 | 223 | 234 | 0 | 906 | 0 | 317 | 4924 |
N.S. |
1 | 1.00 | 1.38 | 1.44 | 0.00 | 5.59 | 0.00 | 1.96 | 30.40 |
time (sec) |
N/A | 0.427 | 1.390 | 0.382 | 0.000 | 0.314 | 0.000 | 0.361 | 25.367 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 467 | 467 | 3696 | 5221 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 7.91 | 11.18 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.522 | 29.385 | 31.840 | 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 | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 375 | 375 | 560 | 3468 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.49 | 9.25 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.896 | 20.159 | 23.235 | 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 | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 308 | 308 | 507 | 3049 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.65 | 9.90 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.606 | 18.492 | 17.284 | 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 | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 355 | 355 | 478 | 1307 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.35 | 3.68 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.459 | 12.675 | 9.884 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 352 | 352 | 723 | 2132 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.05 | 6.06 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.459 | 18.748 | 6.401 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 411 | 411 | 1084 | 2477 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.64 | 6.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.775 | 18.903 | 5.360 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 502 | 502 | 1334 | 3415 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.66 | 6.80 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.301 | 18.939 | 6.233 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 587 | 587 | 1825 | 4930 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 3.11 | 8.40 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.797 | 18.304 | 6.529 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-1) | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 550 | 550 | 3988 | 5986 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 7.25 | 10.88 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.173 | 31.128 | 44.899 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 454 | 454 | 3711 | 5220 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 8.17 | 11.50 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.227 | 29.564 | 34.314 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 374 | 374 | 3214 | 3727 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 8.59 | 9.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.876 | 25.994 | 28.327 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 415 | 415 | 6117 | 3577 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 14.74 | 8.62 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.683 | 26.806 | 18.913 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 408 | 408 | 4010 | 2736 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 9.83 | 6.71 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.651 | 27.833 | 8.347 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 414 | 414 | 1217 | 3541 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.94 | 8.55 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.794 | 20.492 | 6.536 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 504 | 504 | 1381 | 3678 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.74 | 7.30 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.317 | 20.500 | 7.517 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 583 | 583 | 1904 | 5199 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 3.27 | 8.92 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.778 | 21.457 | 6.371 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-1) | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 650 | 650 | 4551 | 7824 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 7.00 | 12.04 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 3.043 | 30.989 | 214.386 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-1) | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 534 | 534 | 3989 | 5986 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 7.47 | 11.21 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.703 | 31.231 | 102.827 | 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 | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 454 | 454 | 710 | 5478 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.56 | 12.07 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.164 | 24.085 | 60.901 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 481 | 481 | 4075 | 4267 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 8.47 | 8.87 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.006 | 28.458 | 34.601 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 478 | 478 | 6785 | 4438 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 14.19 | 9.28 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.925 | 28.995 | 63.887 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 463 | 463 | 4266 | 4151 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 9.21 | 8.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.048 | 28.637 | 51.038 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 507 | 507 | 1501 | 4749 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.96 | 9.37 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.350 | 22.173 | 174.310 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 587 | 587 | 4992 | 5462 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 8.50 | 9.30 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.834 | 28.063 | 495.716 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 403 | 403 | 956 | 2777 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.37 | 6.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.680 | 18.693 | 18.558 | 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 | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 353 | 353 | 487 | 1310 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.38 | 3.71 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.477 | 14.578 | 9.860 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 393 | 393 | 3255 | 3473 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 8.28 | 8.84 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.055 | 25.577 | 31.934 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 320 | 320 | 2993 | 2800 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 9.35 | 8.75 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.648 | 23.960 | 19.449 | 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 | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 253 | 253 | 409 | 1244 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.62 | 4.92 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.379 | 18.182 | 16.324 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 313 | 313 | 729 | 964 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.33 | 3.08 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.290 | 18.394 | 8.383 | 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 | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 352 | 352 | 384 | 1093 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.09 | 3.11 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.488 | 20.928 | 5.953 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 411 | 411 | 1133 | 2221 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.76 | 5.40 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.765 | 17.590 | 4.910 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 506 | 506 | 1352 | 3152 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.67 | 6.23 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.300 | 21.077 | 7.086 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-1) | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 460 | 460 | 3853 | 5109 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 8.38 | 11.11 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.177 | 29.573 | 29.115 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-1) | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 327 | 327 | 3312 | 3394 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 10.13 | 10.38 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.750 | 27.162 | 15.587 | 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 | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 279 | 279 | 541 | 3018 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.94 | 10.82 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.431 | 20.723 | 12.037 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 381 | 381 | 1119 | 2907 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.94 | 7.63 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.516 | 20.230 | 8.475 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 431 | 431 | 1251 | 3332 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.90 | 7.73 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.824 | 20.517 | 6.002 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 501 | 501 | 1870 | 4799 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 3.73 | 9.58 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.174 | 18.561 | 5.820 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-1) | F | F | F | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 488 | 488 | 4050 | 8334 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 8.30 | 17.08 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.440 | 30.542 | 22.587 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-1) | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 408 | 408 | 3819 | 7452 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 9.36 | 18.26 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.961 | 30.024 | 16.006 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-1) | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 378 | 378 | 3369 | 5564 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 8.91 | 14.72 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.786 | 25.232 | 17.292 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-1) | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 517 | 517 | 1715 | 7916 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 3.32 | 15.31 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.876 | 21.379 | 9.391 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-1) | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 559 | 559 | 1702 | 8179 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 3.04 | 14.63 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.334 | 22.247 | 7.153 | 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 | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 645 | 645 | 799 | 12228 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.24 | 18.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.764 | 18.457 | 7.108 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-1) | F | F | F | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 626 | 626 | 2188 | 14042 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 3.50 | 22.43 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.532 | 24.280 | 15.932 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 303 | 303 | 749 | 963 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.47 | 3.18 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.338 | 21.020 | 8.301 | 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 | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 200 | 200 | 143 | 181 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.72 | 0.90 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.190 | 5.606 | 8.033 | 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 | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 338 | 338 | 498 | 1999 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.47 | 5.91 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.448 | 15.046 | 8.492 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-1) | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 445 | 445 | 1434 | 5002 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 3.22 | 11.24 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.736 | 15.054 | 11.446 | 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(-1) | F | F | F(-1) |
verified |
N/A | Yes | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 145 | 145 | 0 | 259 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 1.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.309 | 0.000 | 2.513 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | C | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | N/A | No | TBD | TBD | TBD | TBD | TBD |
size | 213 | 213 | 0 | 946 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 4.44 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.715 | 0.000 | 8.089 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | F(-1) | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 0 | 25 | 27 | 0 | 26 | 27 | 29 |
N.S. |
1 | 1.00 | 0.00 | 0.93 | 1.00 | 0.00 | 0.96 | 1.00 | 1.07 |
time (sec) |
N/A | 0.393 | 0.000 | 0.129 | 7.036 | 0.000 | 6.291 | 1.558 | 20.791 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | F(-1) | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 0 | 25 | 27 | 0 | 26 | 27 | 29 |
N.S. |
1 | 1.00 | 0.00 | 0.93 | 1.00 | 0.00 | 0.96 | 1.00 | 1.07 |
time (sec) |
N/A | 0.380 | 0.000 | 0.120 | 6.940 | 0.000 | 1.883 | 1.121 | 20.937 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | F(-1) | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 0 | 25 | 27 | 0 | 26 | 27 | 29 |
N.S. |
1 | 1.00 | 0.00 | 0.93 | 1.00 | 0.00 | 0.96 | 1.00 | 1.07 |
time (sec) |
N/A | 0.389 | 0.000 | 0.120 | 11.371 | 0.000 | 0.867 | 1.230 | 19.388 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | F(-1) | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 0 | 25 | 27 | 0 | 26 | 27 | 29 |
N.S. |
1 | 1.00 | 0.00 | 0.93 | 1.00 | 0.00 | 0.96 | 1.00 | 1.07 |
time (sec) |
N/A | 0.363 | 0.000 | 0.115 | 11.764 | 0.000 | 0.962 | 2.269 | 19.397 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 145 | 145 | 106 | 117 | 200 | 151 | 0 | 330 | 234 |
N.S. |
1 | 1.00 | 0.73 | 0.81 | 1.38 | 1.04 | 0.00 | 2.28 | 1.61 |
time (sec) |
N/A | 0.243 | 0.661 | 0.893 | 0.227 | 0.294 | 0.000 | 0.312 | 21.393 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 114 | 114 | 85 | 119 | 163 | 136 | 0 | 304 | 194 |
N.S. |
1 | 1.00 | 0.75 | 1.04 | 1.43 | 1.19 | 0.00 | 2.67 | 1.70 |
time (sec) |
N/A | 0.212 | 0.442 | 0.848 | 0.242 | 0.300 | 0.000 | 0.321 | 21.005 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 93 | 93 | 67 | 81 | 127 | 115 | 0 | 210 | 145 |
N.S. |
1 | 1.00 | 0.72 | 0.87 | 1.37 | 1.24 | 0.00 | 2.26 | 1.56 |
time (sec) |
N/A | 0.172 | 0.196 | 0.751 | 0.219 | 0.265 | 0.000 | 0.310 | 19.228 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 75 | 75 | 88 | 96 | 0 | 153 | 104 |
N.S. |
1 | 1.00 | 1.23 | 1.23 | 1.44 | 1.57 | 0.00 | 2.51 | 1.70 |
time (sec) |
N/A | 0.067 | 0.014 | 0.617 | 0.251 | 0.278 | 0.000 | 0.312 | 18.213 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 43 | 57 | 73 | 85 | 0 | 84 | 114 |
N.S. |
1 | 1.00 | 1.23 | 1.63 | 2.09 | 2.43 | 0.00 | 2.40 | 3.26 |
time (sec) |
N/A | 0.085 | 0.007 | 0.378 | 0.206 | 0.283 | 0.000 | 0.299 | 17.102 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 46 | 48 | 58 | 54 | 0 | 79 | 100 |
N.S. |
1 | 1.00 | 1.31 | 1.37 | 1.66 | 1.54 | 0.00 | 2.26 | 2.86 |
time (sec) |
N/A | 0.108 | 0.018 | 0.203 | 0.226 | 0.275 | 0.000 | 0.301 | 16.815 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 52 | 52 | 51 | 47 | 55 | 42 | 0 | 121 | 50 |
N.S. |
1 | 1.00 | 0.98 | 0.90 | 1.06 | 0.81 | 0.00 | 2.33 | 0.96 |
time (sec) |
N/A | 0.169 | 0.057 | 0.193 | 0.241 | 0.264 | 0.000 | 0.290 | 17.256 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 84 | 84 | 75 | 65 | 79 | 60 | 0 | 180 | 84 |
N.S. |
1 | 1.00 | 0.89 | 0.77 | 0.94 | 0.71 | 0.00 | 2.14 | 1.00 |
time (sec) |
N/A | 0.194 | 0.104 | 0.384 | 0.222 | 0.262 | 0.000 | 0.285 | 17.104 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 91 | 86 | 101 | 81 | 0 | 272 | 117 |
N.S. |
1 | 1.00 | 0.87 | 0.82 | 0.96 | 0.77 | 0.00 | 2.59 | 1.11 |
time (sec) |
N/A | 0.212 | 0.146 | 0.557 | 0.219 | 0.259 | 0.000 | 0.296 | 17.460 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 88 | 104 | 124 | 96 | 0 | 300 | 149 |
N.S. |
1 | 1.00 | 0.65 | 0.76 | 0.91 | 0.71 | 0.00 | 2.21 | 1.10 |
time (sec) |
N/A | 0.224 | 0.144 | 0.736 | 0.238 | 0.263 | 0.000 | 0.288 | 17.118 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 198 | 198 | 150 | 171 | 276 | 208 | 0 | 528 | 359 |
N.S. |
1 | 1.00 | 0.76 | 0.86 | 1.39 | 1.05 | 0.00 | 2.67 | 1.81 |
time (sec) |
N/A | 0.410 | 1.001 | 1.112 | 0.236 | 0.278 | 0.000 | 0.354 | 20.709 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 179 | 179 | 120 | 148 | 228 | 180 | 0 | 478 | 317 |
N.S. |
1 | 1.00 | 0.67 | 0.83 | 1.27 | 1.01 | 0.00 | 2.67 | 1.77 |
time (sec) |
N/A | 0.405 | 0.539 | 0.981 | 0.227 | 0.280 | 0.000 | 0.328 | 20.876 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 116 | 116 | 92 | 118 | 165 | 150 | 0 | 294 | 227 |
N.S. |
1 | 1.00 | 0.79 | 1.02 | 1.42 | 1.29 | 0.00 | 2.53 | 1.96 |
time (sec) |
N/A | 0.159 | 0.362 | 0.802 | 0.216 | 0.271 | 0.000 | 0.350 | 20.641 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 86 | 86 | 67 | 112 | 140 | 136 | 0 | 192 | 176 |
N.S. |
1 | 1.00 | 0.78 | 1.30 | 1.63 | 1.58 | 0.00 | 2.23 | 2.05 |
time (sec) |
N/A | 0.160 | 0.202 | 0.675 | 0.240 | 0.276 | 0.000 | 0.316 | 17.845 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 109 | 86 | 103 | 117 | 0 | 154 | 163 |
N.S. |
1 | 1.00 | 1.82 | 1.43 | 1.72 | 1.95 | 0.00 | 2.57 | 2.72 |
time (sec) |
N/A | 0.199 | 1.806 | 0.452 | 0.263 | 0.275 | 0.000 | 0.337 | 17.300 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 120 | 94 | 99 | 87 | 0 | 178 | 169 |
N.S. |
1 | 1.00 | 1.50 | 1.18 | 1.24 | 1.09 | 0.00 | 2.22 | 2.11 |
time (sec) |
N/A | 0.287 | 0.736 | 0.260 | 0.260 | 0.280 | 0.000 | 0.326 | 17.810 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 107 | 90 | 88 | 108 | 85 | 0 | 254 | 115 |
N.S. |
1 | 1.00 | 0.84 | 0.82 | 1.01 | 0.79 | 0.00 | 2.37 | 1.07 |
time (sec) |
N/A | 0.318 | 0.659 | 0.425 | 0.242 | 0.253 | 0.000 | 0.315 | 17.226 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 118 | 118 | 142 | 114 | 0 | 437 | 169 |
N.S. |
1 | 1.00 | 0.87 | 0.87 | 1.04 | 0.84 | 0.00 | 3.21 | 1.24 |
time (sec) |
N/A | 0.375 | 1.814 | 0.559 | 0.256 | 0.248 | 0.000 | 0.318 | 16.907 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 180 | 180 | 146 | 147 | 176 | 142 | 0 | 487 | 307 |
N.S. |
1 | 1.00 | 0.81 | 0.82 | 0.98 | 0.79 | 0.00 | 2.71 | 1.71 |
time (sec) |
N/A | 0.390 | 1.115 | 0.724 | 0.259 | 0.273 | 0.000 | 0.323 | 20.657 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 278 | 278 | 214 | 248 | 409 | 286 | 0 | 932 | 571 |
N.S. |
1 | 1.00 | 0.77 | 0.89 | 1.47 | 1.03 | 0.00 | 3.35 | 2.05 |
time (sec) |
N/A | 0.669 | 3.990 | 1.420 | 0.258 | 0.269 | 0.000 | 0.356 | 20.900 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 252 | 252 | 181 | 200 | 341 | 249 | 0 | 722 | 470 |
N.S. |
1 | 1.00 | 0.72 | 0.79 | 1.35 | 0.99 | 0.00 | 2.87 | 1.87 |
time (sec) |
N/A | 0.581 | 4.135 | 1.307 | 0.221 | 0.283 | 0.000 | 0.354 | 20.994 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 180 | 180 | 140 | 185 | 266 | 211 | 0 | 586 | 395 |
N.S. |
1 | 1.00 | 0.78 | 1.03 | 1.48 | 1.17 | 0.00 | 3.26 | 2.19 |
time (sec) |
N/A | 0.309 | 0.671 | 1.072 | 0.226 | 0.258 | 0.000 | 0.351 | 20.994 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 137 | 137 | 108 | 180 | 216 | 189 | 0 | 336 | 526 |
N.S. |
1 | 1.00 | 0.79 | 1.31 | 1.58 | 1.38 | 0.00 | 2.45 | 3.84 |
time (sec) |
N/A | 0.282 | 0.417 | 0.923 | 0.218 | 0.279 | 0.000 | 0.341 | 18.683 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 131 | 277 | 141 | 169 | 167 | 0 | 241 | 249 |
N.S. |
1 | 1.00 | 2.11 | 1.08 | 1.29 | 1.27 | 0.00 | 1.84 | 1.90 |
time (sec) |
N/A | 0.353 | 3.481 | 0.697 | 0.226 | 0.286 | 0.000 | 0.348 | 18.876 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 124 | 124 | 217 | 132 | 144 | 152 | 0 | 234 | 236 |
N.S. |
1 | 1.00 | 1.75 | 1.06 | 1.16 | 1.23 | 0.00 | 1.89 | 1.90 |
time (sec) |
N/A | 0.461 | 2.046 | 0.569 | 0.227 | 0.280 | 0.000 | 0.343 | 17.852 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 145 | 145 | 159 | 137 | 152 | 131 | 0 | 314 | 1924 |
N.S. |
1 | 1.00 | 1.10 | 0.94 | 1.05 | 0.90 | 0.00 | 2.17 | 13.27 |
time (sec) |
N/A | 0.501 | 1.568 | 0.492 | 0.218 | 0.280 | 0.000 | 0.331 | 19.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 179 | 179 | 140 | 139 | 171 | 136 | 0 | 536 | 202 |
N.S. |
1 | 1.00 | 0.78 | 0.78 | 0.96 | 0.76 | 0.00 | 2.99 | 1.13 |
time (sec) |
N/A | 0.574 | 1.374 | 0.538 | 0.236 | 0.267 | 0.000 | 0.328 | 17.141 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 221 | 221 | 176 | 179 | 217 | 174 | 0 | 672 | 277 |
N.S. |
1 | 1.00 | 0.80 | 0.81 | 0.98 | 0.79 | 0.00 | 3.04 | 1.25 |
time (sec) |
N/A | 0.627 | 2.482 | 0.736 | 0.217 | 0.265 | 0.000 | 0.328 | 17.280 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 187 | 187 | 422 | 335 | 0 | 743 | 0 | 412 | 4667 |
N.S. |
1 | 1.00 | 2.26 | 1.79 | 0.00 | 3.97 | 0.00 | 2.20 | 24.96 |
time (sec) |
N/A | 0.820 | 2.249 | 0.539 | 0.000 | 0.696 | 0.000 | 0.362 | 22.100 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 143 | 143 | 300 | 229 | 0 | 609 | 0 | 269 | 4047 |
N.S. |
1 | 1.00 | 2.10 | 1.60 | 0.00 | 4.26 | 0.00 | 1.88 | 28.30 |
time (sec) |
N/A | 0.522 | 1.929 | 0.432 | 0.000 | 2.764 | 0.000 | 0.326 | 21.743 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 98 | 130 | 144 | 0 | 472 | 0 | 175 | 719 |
N.S. |
1 | 1.00 | 1.33 | 1.47 | 0.00 | 4.82 | 0.00 | 1.79 | 7.34 |
time (sec) |
N/A | 0.319 | 0.812 | 0.332 | 0.000 | 0.362 | 0.000 | 0.336 | 18.423 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 112 | 92 | 0 | 316 | 0 | 128 | 573 |
N.S. |
1 | 1.00 | 1.47 | 1.21 | 0.00 | 4.16 | 0.00 | 1.68 | 7.54 |
time (sec) |
N/A | 0.132 | 0.379 | 0.266 | 0.000 | 0.607 | 0.000 | 0.325 | 18.755 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 68 | 73 | 0 | 250 | 0 | 274 | 573 |
N.S. |
1 | 1.00 | 1.01 | 1.09 | 0.00 | 3.73 | 0.00 | 4.09 | 8.55 |
time (sec) |
N/A | 0.208 | 0.148 | 0.250 | 0.000 | 0.293 | 0.000 | 0.321 | 19.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 85 | 111 | 0 | 328 | 0 | 141 | 740 |
N.S. |
1 | 1.00 | 0.94 | 1.23 | 0.00 | 3.64 | 0.00 | 1.57 | 8.22 |
time (sec) |
N/A | 0.275 | 0.630 | 0.308 | 0.000 | 0.271 | 0.000 | 0.316 | 19.316 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 134 | 134 | 121 | 168 | 0 | 427 | 0 | 227 | 3740 |
N.S. |
1 | 1.00 | 0.90 | 1.25 | 0.00 | 3.19 | 0.00 | 1.69 | 27.91 |
time (sec) |
N/A | 0.532 | 0.747 | 0.398 | 0.000 | 0.285 | 0.000 | 0.321 | 21.560 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 178 | 178 | 152 | 242 | 0 | 547 | 0 | 360 | 4572 |
N.S. |
1 | 1.00 | 0.85 | 1.36 | 0.00 | 3.07 | 0.00 | 2.02 | 25.69 |
time (sec) |
N/A | 0.808 | 0.979 | 0.505 | 0.000 | 0.290 | 0.000 | 0.313 | 22.748 |