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 | F | A | N/A | N/A | C | N/A | F(-1) | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 401 | 0 | 546 | 36 | 36 | 6966 | 42 | 0 | 36 |
N.S. |
1 | 0.00 | 1.36 | 0.09 | 0.09 | 17.37 | 0.10 | 0.00 | 0.09 |
time (sec) |
N/A | 0.000 | 0.563 | 0.014 | 0.656 | 1.122 | 15.773 | 0.000 | 6.840 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | C | N/A | F(-1) | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 401 | 0 | 546 | 36 | 36 | 6966 | 42 | 0 | 36 |
N.S. |
1 | 0.00 | 1.36 | 0.09 | 0.09 | 17.37 | 0.10 | 0.00 | 0.09 |
time (sec) |
N/A | 0.000 | 0.008 | 0.000 | 0.643 | 1.129 | 15.915 | 0.000 | 0.004 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | C | N/A | F(-1) | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 402 | 0 | 444 | 34 | 36 | 3327 | 39 | 0 | 36 |
N.S. |
1 | 0.00 | 1.10 | 0.08 | 0.09 | 8.28 | 0.10 | 0.00 | 0.09 |
time (sec) |
N/A | 0.000 | 0.525 | 0.010 | 0.630 | 0.977 | 9.399 | 0.000 | 7.052 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | C | N/A | F(-1) | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 402 | 0 | 444 | 34 | 36 | 3327 | 39 | 0 | 36 |
N.S. |
1 | 0.00 | 1.10 | 0.08 | 0.09 | 8.28 | 0.10 | 0.00 | 0.09 |
time (sec) |
N/A | 0.000 | 0.002 | 0.000 | 0.622 | 0.964 | 9.309 | 0.000 | 0.004 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 404 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | C | N/A | F(-1) | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 404 | 0 | 552 | 36 | 36 | 6878 | 42 | 0 | 36 |
N.S. |
1 | 0.00 | 1.37 | 0.09 | 0.09 | 17.02 | 0.10 | 0.00 | 0.09 |
time (sec) |
N/A | 0.000 | 0.504 | 0.017 | 0.643 | 1.148 | 50.034 | 0.000 | 7.434 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | C | N/A | F(-1) | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 404 | 0 | 552 | 36 | 36 | 6878 | 42 | 0 | 36 |
N.S. |
1 | 0.00 | 1.37 | 0.09 | 0.09 | 17.02 | 0.10 | 0.00 | 0.09 |
time (sec) |
N/A | 0.000 | 0.003 | 0.000 | 0.709 | 1.133 | 50.139 | 0.000 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 405 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | C | N/A | F(-1) | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 406 | 0 | 367 | 41 | 43 | 7234 | 105 | 0 | 42 |
N.S. |
1 | 0.00 | 0.90 | 0.10 | 0.11 | 17.82 | 0.26 | 0.00 | 0.10 |
time (sec) |
N/A | 0.000 | 0.631 | 0.016 | 0.949 | 1.198 | 53.868 | 0.000 | 7.664 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | C | N/A | F(-1) | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 406 | 0 | 367 | 41 | 43 | 7234 | 105 | 0 | 42 |
N.S. |
1 | 0.00 | 0.90 | 0.10 | 0.11 | 17.82 | 0.26 | 0.00 | 0.10 |
time (sec) |
N/A | 0.000 | 0.001 | 0.000 | 0.910 | 1.208 | 54.318 | 0.000 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | A | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 407 | 249 | 324 | 274 | 0 | 2014 | 0 | 259 | 0 |
N.S. |
1 | 0.61 | 0.80 | 0.67 | 0.00 | 4.95 | 0.00 | 0.64 | 0.00 |
time (sec) |
N/A | 2.716 | 0.674 | 0.102 | 0.000 | 0.322 | 0.000 | 0.324 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F(-2) | C | F | B | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 411 | 503 | 151 | 0 | 0 | 3059 | 0 | 1194 | 132915 |
N.S. |
1 | 1.22 | 0.37 | 0.00 | 0.00 | 7.44 | 0.00 | 2.91 | 323.39 |
time (sec) |
N/A | 1.147 | 10.113 | 0.000 | 0.000 | 1.516 | 0.000 | 1.945 | 56.626 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 413 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 0.000 | 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 | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 415 | 22 | 31 | 24 | 0 | 40 | 0 | 0 | 0 |
N.S. |
1 | 0.05 | 0.07 | 0.06 | 0.00 | 0.10 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.282 | 1.085 | 0.748 | 0.000 | 0.827 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 415 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 0.000 | 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 | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 417 | 285 | 598 | 307 | 0 | 790 | 0 | 247 | 0 |
N.S. |
1 | 0.68 | 1.43 | 0.74 | 0.00 | 1.89 | 0.00 | 0.59 | 0.00 |
time (sec) |
N/A | 0.400 | 2.196 | 1.122 | 0.000 | 0.262 | 0.000 | 24.516 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | 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 | 421 | 0 | 0 | 44 | 46 | 0 | 41 | 46 | 47 |
N.S. |
1 | 0.00 | 0.00 | 0.10 | 0.11 | 0.00 | 0.10 | 0.11 | 0.11 |
time (sec) |
N/A | 0.000 | 0.000 | 0.027 | 0.266 | 0.000 | 2.216 | 0.893 | 7.438 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | 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 | 421 | 0 | 0 | 44 | 46 | 0 | 41 | 46 | 47 |
N.S. |
1 | 0.00 | 0.00 | 0.10 | 0.11 | 0.00 | 0.10 | 0.11 | 0.11 |
time (sec) |
N/A | 0.000 | 0.000 | 0.000 | 0.251 | 0.000 | 2.209 | 0.910 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 423 | 388 | 172 | 0 | 0 | 301 | 0 | 0 | 0 |
N.S. |
1 | 0.92 | 0.41 | 0.00 | 0.00 | 0.71 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.589 | 0.198 | 0.000 | 0.000 | 0.247 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | B | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 423 | 0 | 0 | 0 | 0 | 960 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 2.27 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 0.000 | 0.000 | 38.796 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 425 | 295 | 638 | 323 | 0 | 806 | 0 | 255 | 0 |
N.S. |
1 | 0.69 | 1.50 | 0.76 | 0.00 | 1.90 | 0.00 | 0.60 | 0.00 |
time (sec) |
N/A | 0.422 | 2.181 | 1.079 | 0.000 | 0.254 | 0.000 | 19.914 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | C | F(-1) | F(-1) | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 428 | 0 | 151 | 150 | 52 | 2083 | 0 | 0 | 52 |
N.S. |
1 | 0.00 | 0.35 | 0.35 | 0.12 | 4.87 | 0.00 | 0.00 | 0.12 |
time (sec) |
N/A | 0.000 | 2.903 | 0.463 | 0.250 | 89.378 | 0.000 | 0.000 | 7.325 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | C | N/A | F(-2) | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 428 | 0 | 306 | 37 | 39 | 1598 | 85 | 0 | 38 |
N.S. |
1 | 0.00 | 0.71 | 0.09 | 0.09 | 3.73 | 0.20 | 0.00 | 0.09 |
time (sec) |
N/A | 0.000 | 0.484 | 0.020 | 0.920 | 0.335 | 32.494 | 0.000 | 7.971 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | C | N/A | F(-2) | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 428 | 0 | 306 | 37 | 39 | 1598 | 85 | 0 | 38 |
N.S. |
1 | 0.00 | 0.71 | 0.09 | 0.09 | 3.73 | 0.20 | 0.00 | 0.09 |
time (sec) |
N/A | 0.000 | 0.001 | 0.000 | 0.962 | 0.351 | 32.346 | 0.000 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | F(-2) | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 429 | 0 | 471 | 388 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.10 | 0.90 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 3.642 | 321.797 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F(-1) | F | F(-2) | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 429 | 0 | 470 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.10 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 3.542 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | A | F | F(-2) | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 431 | 0 | 407 | 0 | 0 | 564 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.94 | 0.00 | 0.00 | 1.31 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.208 | 0.000 | 0.000 | 0.290 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | C | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 432 | 160 | 385 | 38 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.37 | 0.89 | 0.09 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.555 | 8.872 | 0.377 | 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 | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 433 | 294 | 622 | 325 | 0 | 823 | 0 | 255 | 0 |
N.S. |
1 | 0.68 | 1.44 | 0.75 | 0.00 | 1.90 | 0.00 | 0.59 | 0.00 |
time (sec) |
N/A | 0.407 | 2.217 | 0.682 | 0.000 | 0.255 | 0.000 | 20.196 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 434 | 463 | 236 | 0 | 0 | 429 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.54 | 0.00 | 0.00 | 0.99 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.082 | 2.637 | 0.000 | 0.000 | 0.248 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F(-1) | N/A | F(-1) | N/A | F(-2) | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 437 | 0 | 633 | 0 | 53 | 0 | 107 | 0 | 34 |
N.S. |
1 | 0.00 | 1.45 | 0.00 | 0.12 | 0.00 | 0.24 | 0.00 | 0.08 |
time (sec) |
N/A | 0.000 | 0.936 | 180.000 | 0.226 | 0.000 | 2.115 | 0.000 | 7.324 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 438 | 335 | 228 | 0 | 0 | 1146 | 0 | 0 | 0 |
N.S. |
1 | 0.76 | 0.52 | 0.00 | 0.00 | 2.62 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.135 | 0.872 | 0.000 | 0.000 | 0.261 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 441 | 306 | 662 | 341 | 0 | 843 | 0 | 263 | 0 |
N.S. |
1 | 0.69 | 1.50 | 0.77 | 0.00 | 1.91 | 0.00 | 0.60 | 0.00 |
time (sec) |
N/A | 0.412 | 2.223 | 1.168 | 0.000 | 0.245 | 0.000 | 22.652 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | C | F | F(-1) | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 445 | 0 | 292 | 0 | 0 | 468 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.66 | 0.00 | 0.00 | 1.05 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.418 | 0.000 | 0.000 | 0.336 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 448 | 409 | 376 | 44 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.91 | 0.84 | 0.10 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.835 | 10.446 | 0.226 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | C | F | F | C | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 448 | 1077 | 208 | 0 | 0 | 2886 | 0 | 0 | 0 |
N.S. |
1 | 2.40 | 0.46 | 0.00 | 0.00 | 6.44 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.152 | 10.974 | 0.000 | 0.000 | 0.309 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 452 | 50 | 163 | 384 | 0 | 1089 | 0 | 0 | 0 |
N.S. |
1 | 0.11 | 0.36 | 0.85 | 0.00 | 2.41 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.236 | 0.775 | 65.510 | 0.000 | 12.592 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 452 | 50 | 163 | 384 | 0 | 1089 | 0 | 0 | 0 |
N.S. |
1 | 0.11 | 0.36 | 0.85 | 0.00 | 2.41 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.227 | 0.001 | 0.001 | 0.000 | 12.314 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 452 | 51 | 161 | 390 | 0 | 1141 | 0 | 0 | 0 |
N.S. |
1 | 0.11 | 0.36 | 0.86 | 0.00 | 2.52 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.271 | 0.702 | 52.359 | 0.000 | 66.619 | 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(-1) | F | F(-1) |
verified |
N/A | Yes | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 452 | 565 | 0 | 44 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.25 | 0.00 | 0.10 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.828 | 0.000 | 0.214 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | C | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 452 | 0 | 744 | 23 | 25 | 3420 | 27 | 25 | 25 |
N.S. |
1 | 0.00 | 1.65 | 0.05 | 0.06 | 7.57 | 0.06 | 0.06 | 0.06 |
time (sec) |
N/A | 0.000 | 0.902 | 0.021 | 0.619 | 1.021 | 11.874 | 126.447 | 7.274 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | C | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 452 | 0 | 744 | 23 | 25 | 3420 | 27 | 25 | 25 |
N.S. |
1 | 0.00 | 1.65 | 0.05 | 0.06 | 7.57 | 0.06 | 0.06 | 0.06 |
time (sec) |
N/A | 0.000 | 0.004 | 0.000 | 0.615 | 1.016 | 11.796 | 127.586 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-1) | F(-1) | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 455 | 0 | 459 | 264 | 39 | 0 | 0 | 39 | 42 |
N.S. |
1 | 0.00 | 1.01 | 0.58 | 0.09 | 0.00 | 0.00 | 0.09 | 0.09 |
time (sec) |
N/A | 0.000 | 0.643 | 0.137 | 0.509 | 0.000 | 0.000 | 2.835 | 7.653 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-1) | F(-1) | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 455 | 0 | 459 | 264 | 39 | 0 | 0 | 39 | 42 |
N.S. |
1 | 0.00 | 1.01 | 0.58 | 0.09 | 0.00 | 0.00 | 0.09 | 0.09 |
time (sec) |
N/A | 0.000 | 0.001 | 0.000 | 0.393 | 0.000 | 0.000 | 2.786 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | A | F | F(-2) | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 455 | 0 | 417 | 0 | 0 | 535 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.92 | 0.00 | 0.00 | 1.18 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.302 | 0.000 | 0.000 | 0.324 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 456 | 457 | 418 | 42 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.92 | 0.09 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.878 | 10.507 | 0.270 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | C | C | F | F(-1) | F(-1) | F(-1) | F(-1) |
verified |
N/A | N/A | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 457 | 0 | 15065 | 40 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 32.96 | 0.09 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 17.588 | 0.696 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | N/A | N/A | C | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 459 | 613 | 179 | 25543 | 37 | 910 | 39 | 37 | 37 |
N.S. |
1 | 1.34 | 0.39 | 55.65 | 0.08 | 1.98 | 0.08 | 0.08 | 0.08 |
time (sec) |
N/A | 0.990 | 0.178 | 15.054 | 0.284 | 0.267 | 0.679 | 0.295 | 7.009 |
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 | Yes | TBD | TBD | TBD | TBD | TBD |
size | 460 | 614 | 0 | 42 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.33 | 0.00 | 0.09 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.825 | 0.000 | 0.272 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 460 | 0 | 437 | 38 | 40 | 0 | 37 | 40 | 40 |
N.S. |
1 | 0.00 | 0.95 | 0.08 | 0.09 | 0.00 | 0.08 | 0.09 | 0.09 |
time (sec) |
N/A | 0.000 | 2.001 | 0.017 | 0.269 | 0.000 | 0.801 | 1.018 | 7.399 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 460 | 0 | 437 | 38 | 40 | 0 | 37 | 40 | 40 |
N.S. |
1 | 0.00 | 0.95 | 0.08 | 0.09 | 0.00 | 0.08 | 0.09 | 0.09 |
time (sec) |
N/A | 0.000 | 0.001 | 0.001 | 0.274 | 0.000 | 0.812 | 1.088 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | N/A | N/A | C | N/A | F(-2) | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 463 | 521 | 441 | 1195 | 31 | 7282 | 42 | 0 | 31 |
N.S. |
1 | 1.13 | 0.95 | 2.58 | 0.07 | 15.73 | 0.09 | 0.00 | 0.07 |
time (sec) |
N/A | 1.746 | 0.874 | 0.576 | 0.246 | 8.245 | 3.406 | 0.000 | 7.145 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 463 | 0 | 451 | 38 | 40 | 0 | 34 | 40 | 40 |
N.S. |
1 | 0.00 | 0.97 | 0.08 | 0.09 | 0.00 | 0.07 | 0.09 | 0.09 |
time (sec) |
N/A | 0.000 | 0.891 | 0.009 | 0.279 | 0.000 | 1.878 | 0.869 | 7.539 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 463 | 0 | 451 | 38 | 40 | 0 | 34 | 40 | 40 |
N.S. |
1 | 0.00 | 0.97 | 0.08 | 0.09 | 0.00 | 0.07 | 0.09 | 0.09 |
time (sec) |
N/A | 0.000 | 0.004 | 0.000 | 0.286 | 0.000 | 1.902 | 0.857 | 0.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F(-1) | F(-2) | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 466 | 0 | 243 | 281 | 0 | 1023 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.52 | 0.60 | 0.00 | 2.20 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.421 | 0.144 | 0.000 | 0.283 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 468 | 193 | 407 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.41 | 0.87 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.278 | 5.596 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | F | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 469 | 138 | 0 | 37 | 0 | 1936 | 0 | 0 | 0 |
N.S. |
1 | 0.29 | 0.00 | 0.08 | 0.00 | 4.13 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.545 | 0.000 | 59.077 | 0.000 | 155.829 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | F(-1) | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 469 | 138 | 342 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.29 | 0.73 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.523 | 25.294 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | F(-1) | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 469 | 138 | 342 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.29 | 0.73 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.531 | 0.011 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | C | F | F(-1) | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 470 | 0 | 378 | 0 | 0 | 431 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.80 | 0.00 | 0.00 | 0.92 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.072 | 0.000 | 0.000 | 0.419 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | C | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 471 | 0 | 659 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.40 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.155 | 0.000 | 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 | Yes | TBD | TBD | TBD | TBD | TBD |
size | 472 | 630 | 0 | 44 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.33 | 0.00 | 0.09 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.842 | 0.000 | 0.125 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 472 | 0 | 454 | 38 | 40 | 0 | 34 | 40 | 40 |
N.S. |
1 | 0.00 | 0.96 | 0.08 | 0.08 | 0.00 | 0.07 | 0.08 | 0.08 |
time (sec) |
N/A | 0.000 | 1.022 | 0.010 | 0.310 | 0.000 | 2.691 | 1.997 | 7.705 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 472 | 0 | 454 | 38 | 40 | 0 | 34 | 40 | 40 |
N.S. |
1 | 0.00 | 0.96 | 0.08 | 0.08 | 0.00 | 0.07 | 0.08 | 0.08 |
time (sec) |
N/A | 0.000 | 0.005 | 0.001 | 0.320 | 0.000 | 2.641 | 2.058 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 476 | 465 | 426 | 44 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.89 | 0.09 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.725 | 10.454 | 0.127 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 477 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 481 | 335 | 238 | 0 | 0 | 1826 | 0 | 0 | 0 |
N.S. |
1 | 0.70 | 0.49 | 0.00 | 0.00 | 3.80 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.988 | 1.165 | 0.000 | 0.000 | 0.271 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | C | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 482 | 451 | 0 | 107 | 0 | 415 | 0 | 0 | 0 |
N.S. |
1 | 0.94 | 0.00 | 0.22 | 0.00 | 0.86 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.271 | 0.000 | 0.251 | 0.000 | 0.299 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | A | F | F(-2) | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 495 | 0 | 447 | 0 | 0 | 581 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.90 | 0.00 | 0.00 | 1.17 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.013 | 0.000 | 0.000 | 0.321 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | F(-2) | F | F | F(-1) |
verified |
N/A | N/A | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 496 | 0 | 189 | 5455 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.38 | 11.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.245 | 11.599 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 497 | 46 | 78 | 51 | 0 | 62 | 0 | 0 | 0 |
N.S. |
1 | 0.09 | 0.16 | 0.10 | 0.00 | 0.12 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.357 | 9.540 | 2.004 | 0.000 | 0.269 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F(-1) | F | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 499 | 213 | 444 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.43 | 0.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.287 | 6.873 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F(-1) | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 501 | 730 | 285 | 0 | 0 | 358 | 0 | 0 | 0 |
N.S. |
1 | 1.46 | 0.57 | 0.00 | 0.00 | 0.71 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.253 | 1.444 | 0.000 | 0.000 | 0.251 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 501 | 160 | 203 | 407 | 0 | 1108 | 0 | 0 | 0 |
N.S. |
1 | 0.32 | 0.41 | 0.81 | 0.00 | 2.21 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.720 | 0.968 | 143.551 | 0.000 | 22.030 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 501 | 160 | 203 | 407 | 0 | 1108 | 0 | 0 | 0 |
N.S. |
1 | 0.32 | 0.41 | 0.81 | 0.00 | 2.21 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.684 | 0.001 | 139.445 | 0.000 | 22.035 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 501 | 162 | 203 | 408 | 0 | 1108 | 0 | 0 | 0 |
N.S. |
1 | 0.32 | 0.41 | 0.81 | 0.00 | 2.21 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.659 | 0.884 | 125.729 | 0.000 | 20.919 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 501 | 162 | 203 | 408 | 0 | 1108 | 0 | 0 | 0 |
N.S. |
1 | 0.32 | 0.41 | 0.81 | 0.00 | 2.21 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.662 | 0.002 | 132.215 | 0.000 | 20.756 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 506 | 337 | 694 | 409 | 0 | 408 | 0 | 322 | 0 |
N.S. |
1 | 0.67 | 1.37 | 0.81 | 0.00 | 0.81 | 0.00 | 0.64 | 0.00 |
time (sec) |
N/A | 0.416 | 1.952 | 0.769 | 0.000 | 0.257 | 0.000 | 23.246 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | A | F | F(-2) | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 507 | 0 | 507 | 0 | 0 | 679 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.00 | 0.00 | 1.34 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.568 | 0.000 | 0.000 | 0.314 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 514 | 0 | 298 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.58 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 16.595 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | C | N/A | F(-1) | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 514 | 0 | 477 | 41 | 43 | 7760 | 82 | 0 | 42 |
N.S. |
1 | 0.00 | 0.93 | 0.08 | 0.08 | 15.10 | 0.16 | 0.00 | 0.08 |
time (sec) |
N/A | 0.000 | 0.607 | 0.012 | 0.891 | 1.271 | 67.052 | 0.000 | 8.191 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | C | N/A | F(-1) | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 514 | 0 | 477 | 41 | 43 | 7760 | 82 | 0 | 42 |
N.S. |
1 | 0.00 | 0.93 | 0.08 | 0.08 | 15.10 | 0.16 | 0.00 | 0.08 |
time (sec) |
N/A | 0.000 | 0.009 | 0.000 | 0.903 | 1.301 | 66.629 | 0.000 | 0.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | A | F | F(-2) | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 515 | 0 | 455 | 0 | 0 | 554 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.88 | 0.00 | 0.00 | 1.08 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.155 | 0.000 | 0.000 | 0.317 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 518 | 276 | 138 | 146 | 0 | 652 | 0 | 92 | 0 |
N.S. |
1 | 0.53 | 0.27 | 0.28 | 0.00 | 1.26 | 0.00 | 0.18 | 0.00 |
time (sec) |
N/A | 1.390 | 0.122 | 33.289 | 0.000 | 0.262 | 0.000 | 0.296 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | N/A | N/A | C | F(-1) | N/A | N/A |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 520 | 2475 | 799 | 41 | 43 | 10224 | 0 | 43 | 43 |
N.S. |
1 | 4.76 | 1.54 | 0.08 | 0.08 | 19.66 | 0.00 | 0.08 | 0.08 |
time (sec) |
N/A | 9.559 | 1.053 | 0.016 | 0.339 | 24.926 | 0.000 | 0.441 | 8.039 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | N/A | N/A | C | F(-1) | N/A | N/A |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 520 | 2475 | 799 | 41 | 43 | 10224 | 0 | 43 | 43 |
N.S. |
1 | 4.76 | 1.54 | 0.08 | 0.08 | 19.66 | 0.00 | 0.08 | 0.08 |
time (sec) |
N/A | 8.810 | 0.001 | 0.001 | 0.336 | 25.481 | 0.000 | 0.435 | 0.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 524 | 777 | 54 | 49 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.48 | 0.10 | 0.09 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.482 | 0.873 | 1.392 | 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 | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 526 | 347 | 495 | 429 | 0 | 437 | 0 | 339 | 0 |
N.S. |
1 | 0.66 | 0.94 | 0.82 | 0.00 | 0.83 | 0.00 | 0.64 | 0.00 |
time (sec) |
N/A | 0.408 | 2.116 | 0.544 | 0.000 | 0.291 | 0.000 | 19.270 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | C | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 526 | 471 | 469 | 0 | 0 | 432 | 0 | 0 | 0 |
N.S. |
1 | 0.90 | 0.89 | 0.00 | 0.00 | 0.82 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.633 | 1.425 | 0.000 | 0.000 | 0.301 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 530 | 0 | 174 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.33 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.713 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | C | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 535 | 490 | 477 | 0 | 0 | 562 | 0 | 0 | 0 |
N.S. |
1 | 0.92 | 0.89 | 0.00 | 0.00 | 1.05 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.997 | 1.625 | 0.000 | 0.000 | 0.293 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | C | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 540 | 522 | 481 | 0 | 0 | 486 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 0.89 | 0.00 | 0.00 | 0.90 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.674 | 1.712 | 0.000 | 0.000 | 0.262 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 541 | 335 | 254 | 0 | 0 | 323 | 0 | 0 | 0 |
N.S. |
1 | 0.62 | 0.47 | 0.00 | 0.00 | 0.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.985 | 0.304 | 0.000 | 0.000 | 0.265 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 541 | 335 | 254 | 0 | 0 | 323 | 0 | 0 | 0 |
N.S. |
1 | 0.62 | 0.47 | 0.00 | 0.00 | 0.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.915 | 0.009 | 0.000 | 0.000 | 0.256 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 541 | 0 | 208 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.38 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.604 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 543 | 386 | 174 | 0 | 0 | 662 | 0 | 0 | 0 |
N.S. |
1 | 0.71 | 0.32 | 0.00 | 0.00 | 1.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.582 | 0.197 | 0.000 | 0.000 | 0.273 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 549 | 0 | 392 | 40 | 42 | 0 | 39 | 42 | 42 |
N.S. |
1 | 0.00 | 0.71 | 0.07 | 0.08 | 0.00 | 0.07 | 0.08 | 0.08 |
time (sec) |
N/A | 0.000 | 0.928 | 0.013 | 0.268 | 0.000 | 0.627 | 1.017 | 8.708 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 549 | 0 | 392 | 40 | 42 | 0 | 39 | 42 | 42 |
N.S. |
1 | 0.00 | 0.71 | 0.07 | 0.08 | 0.00 | 0.07 | 0.08 | 0.08 |
time (sec) |
N/A | 0.000 | 0.002 | 0.000 | 0.288 | 0.000 | 0.632 | 0.952 | 0.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 553 | 0 | 436 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 4.627 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 561 | 659 | 535 | 0 | 0 | 3633 | 0 | 0 | 0 |
N.S. |
1 | 1.17 | 0.95 | 0.00 | 0.00 | 6.48 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 4.438 | 2.340 | 0.000 | 0.000 | 170.247 | 0.000 | 0.000 | 0.000 |