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 | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 24 | 22 | 1331 | 24 | 20 | 24 | 26 |
N.S. |
1 | 1.00 | 1.09 | 1.00 | 60.50 | 1.09 | 0.91 | 1.09 | 1.18 |
time (sec) |
N/A | 0.296 | 32.615 | 0.345 | 2.046 | 0.257 | 0.441 | 5.855 | 25.069 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 24 | 22 | 1645 | 35 | 22 | 24 | 26 |
N.S. |
1 | 1.00 | 1.09 | 1.00 | 74.77 | 1.59 | 1.00 | 1.09 | 1.18 |
time (sec) |
N/A | 0.292 | 33.366 | 0.376 | 5.264 | 0.261 | 0.708 | 28.890 | 25.722 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 18 | 16 | 18 | 18 | 15 | 18 | 18 |
N.S. |
1 | 1.00 | 1.12 | 1.00 | 1.12 | 1.12 | 0.94 | 1.12 | 1.12 |
time (sec) |
N/A | 0.195 | 10.901 | 0.194 | 0.760 | 0.245 | 1.555 | 0.855 | 25.339 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | B | B | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 259 | 296 | 814 | 729 | 2413 | 592 | 0 | 0 | 0 |
N.S. |
1 | 1.14 | 3.14 | 2.81 | 9.32 | 2.29 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.467 | 6.923 | 0.725 | 0.899 | 0.266 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | B | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 169 | 183 | 454 | 409 | 1228 | 354 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 2.69 | 2.42 | 7.27 | 2.09 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.916 | 6.738 | 0.698 | 0.500 | 0.263 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 108 | 115 | 240 | 183 | 517 | 168 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 2.22 | 1.69 | 4.79 | 1.56 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.502 | 6.260 | 0.492 | 0.436 | 0.257 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 18 | 16 | 1077 | 18 | 14 | 18 | 18 |
N.S. |
1 | 1.00 | 1.12 | 1.00 | 67.31 | 1.12 | 0.88 | 1.12 | 1.12 |
time (sec) |
N/A | 0.201 | 9.480 | 0.280 | 1.605 | 0.236 | 0.366 | 0.837 | 25.567 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 18 | 16 | 1386 | 29 | 15 | 18 | 18 |
N.S. |
1 | 1.00 | 1.12 | 1.00 | 86.62 | 1.81 | 0.94 | 1.12 | 1.12 |
time (sec) |
N/A | 0.202 | 9.172 | 0.314 | 6.830 | 0.240 | 0.530 | 12.457 | 28.069 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 24 | 22 | 24 | 24 | 0 | 24 | 26 |
N.S. |
1 | 1.00 | 1.09 | 1.00 | 1.09 | 1.09 | 0.00 | 1.09 | 1.18 |
time (sec) |
N/A | 0.375 | 21.030 | 0.192 | 0.551 | 0.272 | 0.000 | 0.326 | 25.794 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | B | F(-2) | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 399 | 443 | 2227 | 1729 | 8853 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 5.58 | 4.33 | 22.19 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.203 | 7.646 | 1.026 | 4.271 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | B | B | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 325 | 349 | 1535 | 1115 | 4954 | 2268 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 4.72 | 3.43 | 15.24 | 6.98 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.954 | 6.934 | 0.924 | 1.408 | 0.423 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | B | B | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 201 | 227 | 883 | 614 | 2447 | 1404 | 0 | 0 | 0 |
N.S. |
1 | 1.13 | 4.39 | 3.05 | 12.17 | 6.99 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.732 | 6.649 | 0.836 | 0.630 | 0.360 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 139 | 138 | 224 | 270 | 1028 | 760 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 1.61 | 1.94 | 7.40 | 5.47 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.319 | 1.111 | 0.612 | 0.465 | 0.320 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 24 | 22 | 1865 | 24 | 20 | 24 | 26 |
N.S. |
1 | 1.00 | 1.09 | 1.00 | 84.77 | 1.09 | 0.91 | 1.09 | 1.18 |
time (sec) |
N/A | 0.304 | 7.899 | 0.418 | 1.712 | 0.326 | 2.522 | 0.681 | 25.311 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 24 | 22 | 2516 | 35 | 22 | 0 | 26 |
N.S. |
1 | 1.00 | 1.09 | 1.00 | 114.36 | 1.59 | 1.00 | 0.00 | 1.18 |
time (sec) |
N/A | 0.307 | 5.651 | 0.398 | 5.429 | 0.354 | 4.866 | 0.000 | 25.463 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 24 | 26 | 26 | 0 | 26 | 26 |
N.S. |
1 | 1.00 | 1.08 | 1.00 | 1.08 | 1.08 | 0.00 | 1.08 | 1.08 |
time (sec) |
N/A | 0.380 | 25.379 | 0.192 | 0.833 | 0.262 | 0.000 | 0.361 | 25.381 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 486 | 513 | 819 | 1629 | 8046 | 2226 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 1.69 | 3.35 | 16.56 | 4.58 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.535 | 7.510 | 1.356 | 3.832 | 0.434 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | B | B | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 341 | 371 | 889 | 770 | 3828 | 1366 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 2.61 | 2.26 | 11.23 | 4.01 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.017 | 7.326 | 1.050 | 1.116 | 0.370 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | B | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 162 | 179 | 669 | 344 | 0 | 592 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 4.13 | 2.12 | 0.00 | 3.65 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.380 | 6.962 | 0.900 | 0.000 | 0.322 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 24 | 3695 | 26 | 22 | 26 | 26 |
N.S. |
1 | 1.00 | 1.08 | 1.00 | 153.96 | 1.08 | 0.92 | 1.08 | 1.08 |
time (sec) |
N/A | 0.323 | 14.975 | 0.401 | 2.620 | 0.286 | 7.450 | 117.094 | 25.835 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 24 | 4747 | 37 | 24 | 0 | 26 |
N.S. |
1 | 1.00 | 1.08 | 1.00 | 197.79 | 1.54 | 1.00 | 0.00 | 1.08 |
time (sec) |
N/A | 0.341 | 18.717 | 0.364 | 7.398 | 0.314 | 14.814 | 0.000 | 25.670 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 24 | 26 | 26 | 0 | 26 | 26 |
N.S. |
1 | 1.00 | 1.08 | 1.00 | 1.08 | 1.08 | 0.00 | 1.08 | 1.08 |
time (sec) |
N/A | 0.382 | 28.976 | 0.221 | 0.593 | 0.243 | 0.000 | 0.367 | 25.125 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 318 | 365 | 483 | 1329 | 5646 | 4193 | 0 | 0 | 0 |
N.S. |
1 | 1.15 | 1.52 | 4.18 | 17.75 | 13.19 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.286 | 6.266 | 1.224 | 2.417 | 0.474 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | B | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 190 | 219 | 381 | 716 | 2728 | 2387 | 0 | 0 | 0 |
N.S. |
1 | 1.15 | 2.01 | 3.77 | 14.36 | 12.56 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.794 | 7.567 | 0.964 | 0.761 | 0.401 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | B | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 110 | 125 | 236 | 325 | 1070 | 1193 | 0 | 0 | 0 |
N.S. |
1 | 1.14 | 2.15 | 2.95 | 9.73 | 10.85 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.465 | 1.894 | 0.799 | 0.512 | 0.329 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 24 | 2410 | 26 | 22 | 26 | 26 |
N.S. |
1 | 1.00 | 1.08 | 1.00 | 100.42 | 1.08 | 0.92 | 1.08 | 1.08 |
time (sec) |
N/A | 0.283 | 21.758 | 0.475 | 3.931 | 0.281 | 20.257 | 3.106 | 26.024 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 24 | 3083 | 37 | 24 | 0 | 26 |
N.S. |
1 | 1.00 | 1.08 | 1.00 | 128.46 | 1.54 | 1.00 | 0.00 | 1.08 |
time (sec) |
N/A | 0.280 | 24.774 | 0.358 | 13.684 | 0.323 | 41.092 | 0.000 | 26.574 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-2) | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 83 | 96 | 73 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.16 | 0.88 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.363 | 0.416 | 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 | F(-2) | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 60 | 68 | 51 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.13 | 0.85 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.289 | 0.419 | 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 | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 60 | 68 | 52 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.13 | 0.87 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.285 | 0.248 | 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 | C | C | F | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 33 | 33 | 66 | 310 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.00 | 9.39 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.215 | 0.694 | 0.365 | 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 | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 33 | 33 | 33 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.214 | 0.271 | 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 | F(-2) | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 60 | 64 | 54 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.90 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.282 | 0.285 | 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 | F(-2) | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 60 | 68 | 53 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.13 | 0.88 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.273 | 0.321 | 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 | F(-2) | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 83 | 92 | 65 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 0.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.364 | 0.345 | 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 | F(-2) | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 103 | 112 | 65 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 0.63 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.487 | 0.369 | 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 | F(-2) | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 80 | 88 | 61 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 0.76 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.378 | 0.298 | 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 | F(-2) | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 80 | 84 | 54 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.68 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.385 | 0.275 | 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 | F(-2) | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 42 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.293 | 0.221 | 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 | C | C | F | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 66 | 310 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.25 | 5.85 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.288 | 0.637 | 0.300 | 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 | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 80 | 88 | 63 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 0.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.383 | 0.359 | 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 | C | F | F | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 80 | 88 | 97 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 1.21 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.390 | 0.827 | 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 | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 103 | 116 | 89 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.13 | 0.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.491 | 0.423 | 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 | F(-2) | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 88 | 101 | 67 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.15 | 0.76 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.368 | 0.565 | 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 | C | F | F | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 65 | 73 | 108 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.12 | 1.66 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.294 | 2.158 | 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 | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 65 | 73 | 56 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.12 | 0.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.292 | 0.263 | 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 | C | C | F | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 86 | 308 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.26 | 8.11 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.215 | 6.569 | 0.368 | 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 | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 37 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.212 | 0.312 | 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 | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 65 | 69 | 56 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.286 | 0.271 | 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 | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 65 | 73 | 57 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.12 | 0.88 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.284 | 0.312 | 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 | F(-2) | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 88 | 97 | 73 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 0.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.362 | 0.345 | 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 | F(-2) | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 108 | 117 | 73 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.68 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.480 | 0.395 | 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 | F(-2) | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 85 | 93 | 65 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 0.76 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.378 | 0.405 | 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 | F(-2) | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 85 | 89 | 56 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.66 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.378 | 0.291 | 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 | F(-2) | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 46 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.291 | 0.258 | 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 | C | C | F | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 106 | 308 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.83 | 5.31 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.288 | 1.866 | 0.349 | 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 | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 85 | 93 | 65 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 0.76 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.375 | 0.381 | 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 | C | F | F | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 85 | 93 | 114 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 1.34 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.371 | 1.283 | 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 | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 108 | 121 | 93 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.12 | 0.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.479 | 0.511 | 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 | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 22 | 19 | 18 | 17 | 19 | 18 | 18 |
N.S. |
1 | 1.00 | 0.71 | 0.61 | 0.58 | 0.55 | 0.61 | 0.58 | 0.58 |
time (sec) |
N/A | 0.197 | 0.014 | 0.316 | 0.208 | 0.239 | 0.981 | 0.261 | 0.120 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 131 | 154 | 174 | 146 | 200 | 223 | 167 | 212 |
N.S. |
1 | 1.00 | 1.18 | 1.33 | 1.11 | 1.53 | 1.70 | 1.27 | 1.62 |
time (sec) |
N/A | 0.383 | 0.143 | 2.125 | 0.244 | 0.249 | 14.916 | 0.274 | 26.263 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 115 | 108 | 109 | 119 | 101 | 127 | 139 | 112 | 136 |
N.S. |
1 | 0.94 | 0.95 | 1.03 | 0.88 | 1.10 | 1.21 | 0.97 | 1.18 |
time (sec) |
N/A | 0.325 | 0.113 | 1.126 | 0.204 | 0.247 | 7.780 | 0.279 | 0.437 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 60 | 70 | 60 | 70 | 75 | 64 | 73 |
N.S. |
1 | 1.00 | 0.82 | 0.96 | 0.82 | 0.96 | 1.03 | 0.88 | 1.00 |
time (sec) |
N/A | 0.283 | 0.077 | 0.791 | 0.228 | 0.246 | 3.887 | 0.265 | 25.723 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 44 | 34 | 28 | 27 | 27 | 29 | 27 | 30 |
N.S. |
1 | 1.07 | 0.83 | 0.68 | 0.66 | 0.66 | 0.71 | 0.66 | 0.73 |
time (sec) |
N/A | 0.220 | 0.052 | 0.437 | 0.216 | 0.245 | 1.689 | 0.260 | 26.281 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 49 | 58 | 97 | 51 | 0 | 51 | 0 |
N.S. |
1 | 1.00 | 0.86 | 1.02 | 1.70 | 0.89 | 0.00 | 0.89 | 0.00 |
time (sec) |
N/A | 0.400 | 0.049 | 0.681 | 0.249 | 0.246 | 0.000 | 0.262 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 61 | 82 | 330 | 76 | 0 | 111 | 0 |
N.S. |
1 | 1.00 | 0.78 | 1.05 | 4.23 | 0.97 | 0.00 | 1.42 | 0.00 |
time (sec) |
N/A | 0.397 | 0.114 | 1.026 | 0.266 | 0.257 | 0.000 | 0.258 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 99 | 99 | 77 | 104 | 365 | 128 | 0 | 201 | 0 |
N.S. |
1 | 1.00 | 0.78 | 1.05 | 3.69 | 1.29 | 0.00 | 2.03 | 0.00 |
time (sec) |
N/A | 0.465 | 0.181 | 2.072 | 0.300 | 0.255 | 0.000 | 0.271 | 0.000 |
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 | 198 | 198 | 128 | 226 | 244 | 283 | 0 | 1255 | 344 |
N.S. |
1 | 1.00 | 0.65 | 1.14 | 1.23 | 1.43 | 0.00 | 6.34 | 1.74 |
time (sec) |
N/A | 0.442 | 0.427 | 1.913 | 0.276 | 0.257 | 0.000 | 0.440 | 26.454 |
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 | 171 | 161 | 105 | 156 | 173 | 188 | 0 | 682 | 216 |
N.S. |
1 | 0.94 | 0.61 | 0.91 | 1.01 | 1.10 | 0.00 | 3.99 | 1.26 |
time (sec) |
N/A | 0.353 | 0.258 | 0.974 | 0.257 | 0.254 | 0.000 | 0.368 | 26.394 |
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 | 112 | 112 | 73 | 95 | 108 | 111 | 0 | 313 | 121 |
N.S. |
1 | 1.00 | 0.65 | 0.85 | 0.96 | 0.99 | 0.00 | 2.79 | 1.08 |
time (sec) |
N/A | 0.314 | 0.271 | 0.692 | 0.236 | 0.242 | 0.000 | 0.317 | 0.372 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 66 | 69 | 46 | 44 | 55 | 54 | 0 | 106 | 53 |
N.S. |
1 | 1.05 | 0.70 | 0.67 | 0.83 | 0.82 | 0.00 | 1.61 | 0.80 |
time (sec) |
N/A | 0.243 | 0.134 | 0.302 | 0.232 | 0.254 | 0.000 | 0.283 | 0.271 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | C | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 63 | 106 | 119 | 71 | 0 | 102 | 0 |
N.S. |
1 | 1.00 | 0.89 | 1.49 | 1.68 | 1.00 | 0.00 | 1.44 | 0.00 |
time (sec) |
N/A | 0.430 | 0.145 | 0.571 | 0.265 | 0.248 | 0.000 | 0.290 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | C | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 81 | 155 | 120 | 106 | 0 | 308 | 0 |
N.S. |
1 | 1.00 | 0.79 | 1.52 | 1.18 | 1.04 | 0.00 | 3.02 | 0.00 |
time (sec) |
N/A | 0.458 | 0.411 | 0.971 | 0.326 | 0.255 | 0.000 | 0.313 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 104 | 207 | 132 | 182 | 0 | 704 | 0 |
N.S. |
1 | 1.00 | 0.76 | 1.52 | 0.97 | 1.34 | 0.00 | 5.18 | 0.00 |
time (sec) |
N/A | 0.542 | 0.737 | 1.795 | 0.292 | 0.254 | 0.000 | 0.340 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 205 | 205 | 125 | 243 | 143 | 286 | 0 | 1305 | 0 |
N.S. |
1 | 1.00 | 0.61 | 1.19 | 0.70 | 1.40 | 0.00 | 6.37 | 0.00 |
time (sec) |
N/A | 0.580 | 0.800 | 3.634 | 0.311 | 0.267 | 0.000 | 0.377 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 255 | 255 | 459 | 849 | 606 | 929 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.80 | 3.33 | 2.38 | 3.64 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.556 | 0.823 | 2.968 | 0.420 | 0.315 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 172 | 172 | 223 | 481 | 413 | 566 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.30 | 2.80 | 2.40 | 3.29 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.424 | 0.602 | 2.635 | 0.424 | 0.313 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 171 | 205 | 0 | 281 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.80 | 2.16 | 0.00 | 2.96 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.295 | 0.621 | 1.230 | 0.000 | 0.273 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 25 | 230 | 27 | 24 | 27 | 27 |
N.S. |
1 | 1.00 | 1.08 | 1.00 | 9.20 | 1.08 | 0.96 | 1.08 | 1.08 |
time (sec) |
N/A | 0.405 | 4.239 | 0.589 | 0.358 | 0.243 | 125.857 | 1.174 | 30.429 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 25 | 342 | 38 | 0 | 27 | 27 |
N.S. |
1 | 1.00 | 1.08 | 1.00 | 13.68 | 1.52 | 0.00 | 1.08 | 1.08 |
time (sec) |
N/A | 0.455 | 4.563 | 0.676 | 0.393 | 0.248 | 0.000 | 1.991 | 33.087 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 25 | 463 | 49 | 0 | 27 | 27 |
N.S. |
1 | 1.00 | 1.08 | 1.00 | 18.52 | 1.96 | 0.00 | 1.08 | 1.08 |
time (sec) |
N/A | 0.511 | 5.423 | 0.637 | 0.427 | 0.247 | 0.000 | 4.521 | 34.237 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | B | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 299 | 293 | 2529 | 965 | 610 | 1652 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 8.46 | 3.23 | 2.04 | 5.53 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.710 | 6.404 | 6.243 | 0.360 | 0.350 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | B | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 242 | 242 | 1730 | 648 | 444 | 1126 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 7.15 | 2.68 | 1.83 | 4.65 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.606 | 6.364 | 2.876 | 0.336 | 0.345 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | A | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 173 | 166 | 516 | 386 | 303 | 681 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 2.98 | 2.23 | 1.75 | 3.94 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.500 | 6.375 | 1.389 | 0.322 | 0.296 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 107 | 257 | 177 | 0 | 340 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.40 | 1.65 | 0.00 | 3.18 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.360 | 3.786 | 2.028 | 0.000 | 0.275 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-2) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 23 | 182 | 25 | 0 | 25 | 27 |
N.S. |
1 | 1.00 | 1.09 | 1.00 | 7.91 | 1.09 | 0.00 | 1.09 | 1.17 |
time (sec) |
N/A | 0.442 | 2.892 | 0.545 | 0.331 | 0.262 | 0.000 | 0.308 | 29.129 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-2) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 23 | 242 | 36 | 0 | 25 | 27 |
N.S. |
1 | 1.00 | 1.09 | 1.00 | 10.52 | 1.57 | 0.00 | 1.09 | 1.17 |
time (sec) |
N/A | 0.490 | 3.384 | 0.556 | 0.431 | 0.254 | 0.000 | 0.335 | 30.660 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 23 | 308 | 47 | 0 | 25 | 27 |
N.S. |
1 | 1.00 | 1.09 | 1.00 | 13.39 | 2.04 | 0.00 | 1.09 | 1.17 |
time (sec) |
N/A | 0.574 | 4.682 | 0.502 | 0.429 | 0.261 | 0.000 | 0.401 | 30.449 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | B | F(-2) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 230 | 230 | 532 | 677 | 0 | 896 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.31 | 2.94 | 0.00 | 3.90 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.539 | 1.706 | 8.568 | 0.000 | 0.303 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | B | F(-2) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 147 | 147 | 364 | 334 | 0 | 513 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.48 | 2.27 | 0.00 | 3.49 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.412 | 2.624 | 4.242 | 0.000 | 0.281 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-2) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 105 | 96 | 3330 | 93 | 0 | 365 | 150 |
N.S. |
1 | 1.00 | 1.84 | 1.68 | 58.42 | 1.63 | 0.00 | 6.40 | 2.63 |
time (sec) |
N/A | 0.272 | 0.810 | 1.595 | 0.395 | 0.271 | 0.000 | 0.372 | 1.761 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-2) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 25 | 1275 | 27 | 0 | 27 | 27 |
N.S. |
1 | 1.00 | 1.08 | 1.00 | 51.00 | 1.08 | 0.00 | 1.08 | 1.08 |
time (sec) |
N/A | 0.489 | 11.006 | 0.613 | 0.413 | 0.252 | 0.000 | 1.901 | 29.934 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-2) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 25 | 1419 | 38 | 0 | 27 | 27 |
N.S. |
1 | 1.00 | 1.08 | 1.00 | 56.76 | 1.52 | 0.00 | 1.08 | 1.08 |
time (sec) |
N/A | 0.525 | 15.403 | 0.733 | 0.474 | 0.255 | 0.000 | 4.137 | 32.112 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 27 | 25 | 1563 | 49 | 0 | 27 | 27 |
N.S. |
1 | 1.00 | 1.08 | 1.00 | 62.52 | 1.96 | 0.00 | 1.08 | 1.08 |
time (sec) |
N/A | 0.593 | 17.357 | 0.756 | 0.574 | 0.250 | 0.000 | 7.781 | 34.205 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 77 | 66 | 0 | 106 | 0 | 0 | 46 |
N.S. |
1 | 1.00 | 1.35 | 1.16 | 0.00 | 1.86 | 0.00 | 0.00 | 0.81 |
time (sec) |
N/A | 0.240 | 0.035 | 1.681 | 0.000 | 0.256 | 0.000 | 0.000 | 26.551 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 15 | 111 | 26 | 144 | 118 | 31 |
N.S. |
1 | 1.00 | 1.00 | 1.07 | 7.93 | 1.86 | 10.29 | 8.43 | 2.21 |
time (sec) |
N/A | 0.190 | 0.029 | 3.395 | 0.301 | 0.250 | 3.962 | 0.270 | 28.408 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 146 | 102 | 0 | 144 | 0 | 0 | 63 |
N.S. |
1 | 1.00 | 2.18 | 1.52 | 0.00 | 2.15 | 0.00 | 0.00 | 0.94 |
time (sec) |
N/A | 0.299 | 0.235 | 9.372 | 0.000 | 0.254 | 0.000 | 0.000 | 27.652 |