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 | C | A | N/A | N/A | C | N/A | N/A | N/A |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 321 | 710 | 324 | 38 | 40 | 10253 | 39 | 40 | 40 |
N.S. |
1 | 2.21 | 1.01 | 0.12 | 0.12 | 31.94 | 0.12 | 0.12 | 0.12 |
time (sec) |
N/A | 3.034 | 0.580 | 0.022 | 0.348 | 20.874 | 29.724 | 0.448 | 7.460 |
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 | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 321 | 710 | 324 | 38 | 40 | 10253 | 39 | 40 | 40 |
N.S. |
1 | 2.21 | 1.01 | 0.12 | 0.12 | 31.94 | 0.12 | 0.12 | 0.12 |
time (sec) |
N/A | 2.802 | 0.001 | 0.000 | 0.341 | 20.913 | 29.591 | 0.443 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | C | N/A | F(-1) | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 323 | 1348 | 340 | 178 | 30 | 1365 | 22 | 0 | 31 |
N.S. |
1 | 4.17 | 1.05 | 0.55 | 0.09 | 4.23 | 0.07 | 0.00 | 0.10 |
time (sec) |
N/A | 5.141 | 0.561 | 0.559 | 0.243 | 0.307 | 1.963 | 0.000 | 7.142 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | C | N/A | F(-1) | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 323 | 1348 | 340 | 178 | 30 | 1365 | 22 | 0 | 31 |
N.S. |
1 | 4.17 | 1.05 | 0.55 | 0.09 | 4.23 | 0.07 | 0.00 | 0.10 |
time (sec) |
N/A | 4.817 | 0.002 | 0.537 | 0.246 | 0.301 | 1.958 | 0.000 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | B | 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 | 323 | 0 | 682 | 41 | 41 | 6976 | 48 | 0 | 41 |
N.S. |
1 | 0.00 | 2.11 | 0.13 | 0.13 | 21.60 | 0.15 | 0.00 | 0.13 |
time (sec) |
N/A | 0.000 | 0.601 | 0.020 | 0.896 | 1.125 | 43.443 | 0.000 | 7.539 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | B | 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 | 323 | 0 | 682 | 41 | 41 | 6976 | 48 | 0 | 41 |
N.S. |
1 | 0.00 | 2.11 | 0.13 | 0.13 | 21.60 | 0.15 | 0.00 | 0.13 |
time (sec) |
N/A | 0.000 | 0.006 | 0.001 | 0.900 | 1.113 | 43.692 | 0.000 | 0.003 |
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 | 324 | 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 | F(-2) | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 325 | 564 | 296 | 272 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.74 | 0.91 | 0.84 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.166 | 1.828 | 111.852 | 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 | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 326 | 341 | 279 | 0 | 0 | 429 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.86 | 0.00 | 0.00 | 1.32 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.032 | 0.381 | 0.000 | 0.000 | 0.267 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | C | N/A | C | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 327 | 1400 | 338 | 195 | 34 | 6380 | 27 | 243 | 34 |
N.S. |
1 | 4.28 | 1.03 | 0.60 | 0.10 | 19.51 | 0.08 | 0.74 | 0.10 |
time (sec) |
N/A | 4.703 | 1.011 | 0.601 | 0.213 | 3.073 | 4.684 | 5.051 | 7.498 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | C | N/A | C | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 327 | 1400 | 338 | 195 | 34 | 6380 | 27 | 243 | 34 |
N.S. |
1 | 4.28 | 1.03 | 0.60 | 0.10 | 19.51 | 0.08 | 0.74 | 0.10 |
time (sec) |
N/A | 4.772 | 0.005 | 0.001 | 0.211 | 3.049 | 4.701 | 5.011 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 328 | 737 | 312 | 216 | 0 | 470 | 0 | 0 | 0 |
N.S. |
1 | 2.25 | 0.95 | 0.66 | 0.00 | 1.43 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.083 | 0.692 | 29.374 | 0.000 | 1.617 | 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 | 328 | 0 | 323 | 42 | 44 | 0 | 37 | 44 | 46 |
N.S. |
1 | 0.00 | 0.98 | 0.13 | 0.13 | 0.00 | 0.11 | 0.13 | 0.14 |
time (sec) |
N/A | 0.000 | 2.040 | 0.475 | 0.298 | 0.000 | 0.884 | 13.912 | 7.257 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | A | C | F | B | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 329 | 658 | 171 | 0 | 487 | 4866 | 0 | 1490 | 1566 |
N.S. |
1 | 2.00 | 0.52 | 0.00 | 1.48 | 14.79 | 0.00 | 4.53 | 4.76 |
time (sec) |
N/A | 0.866 | 10.157 | 0.000 | 0.283 | 0.376 | 0.000 | 1.349 | 8.907 |
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 | 329 | 20 | 52 | 23 | 0 | 51 | 0 | 0 | 0 |
N.S. |
1 | 0.06 | 0.16 | 0.07 | 0.00 | 0.16 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.280 | 1.143 | 1.184 | 0.000 | 0.303 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 330 | 261 | 304 | 6693 | 0 | 305 | 0 | 0 | 0 |
N.S. |
1 | 0.79 | 0.92 | 20.28 | 0.00 | 0.92 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.586 | 0.723 | 37.760 | 0.000 | 0.269 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | B | F | F | F(-1) | F | F(-2) | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 330 | 0 | 755 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 2.29 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 20.234 | 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 | F(-1) | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 331 | 263 | 310 | 255 | 0 | 0 | 0 | 300 | 0 |
N.S. |
1 | 0.79 | 0.94 | 0.77 | 0.00 | 0.00 | 0.00 | 0.91 | 0.00 |
time (sec) |
N/A | 0.589 | 10.361 | 0.839 | 0.000 | 0.000 | 0.000 | 0.332 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 332 | 139 | 310 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.42 | 0.93 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.259 | 2.122 | 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 | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 333 | 0 | 331 | 172 | 42 | 745 | 105 | 42 | 42 |
N.S. |
1 | 0.00 | 0.99 | 0.52 | 0.13 | 2.24 | 0.32 | 0.13 | 0.13 |
time (sec) |
N/A | 0.000 | 1.058 | 3.816 | 0.252 | 1.772 | 127.474 | 0.348 | 7.679 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 334 | 336 | 295 | 368 | 0 | 707 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.88 | 1.10 | 0.00 | 2.12 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.628 | 1.487 | 0.404 | 0.000 | 47.040 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 334 | 880 | 383 | 252 | 38 | 0 | 31 | 38 | 38 |
N.S. |
1 | 2.63 | 1.15 | 0.75 | 0.11 | 0.00 | 0.09 | 0.11 | 0.11 |
time (sec) |
N/A | 3.142 | 0.990 | 0.707 | 0.217 | 0.000 | 15.340 | 1.421 | 7.536 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 334 | 880 | 383 | 252 | 38 | 0 | 31 | 38 | 38 |
N.S. |
1 | 2.63 | 1.15 | 0.75 | 0.11 | 0.00 | 0.09 | 0.11 | 0.11 |
time (sec) |
N/A | 2.930 | 0.004 | 0.002 | 0.226 | 0.000 | 15.425 | 1.341 | 0.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | 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 | 337 | 441 | 339 | 161 | 29 | 5812 | 27 | 0 | 29 |
N.S. |
1 | 1.31 | 1.01 | 0.48 | 0.09 | 17.25 | 0.08 | 0.00 | 0.09 |
time (sec) |
N/A | 1.698 | 0.265 | 0.159 | 0.329 | 9.952 | 11.721 | 0.000 | 7.972 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | 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 | 337 | 441 | 339 | 161 | 29 | 5812 | 27 | 0 | 29 |
N.S. |
1 | 1.31 | 1.01 | 0.48 | 0.09 | 17.25 | 0.08 | 0.00 | 0.09 |
time (sec) |
N/A | 1.510 | 0.001 | 0.156 | 0.336 | 9.871 | 11.761 | 0.000 | 0.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | F(-1) | N/A | C | N/A | C | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 337 | 776 | 327 | 0 | 243 | 2052 | 177 | 929 | 540 |
N.S. |
1 | 2.30 | 0.97 | 0.00 | 0.72 | 6.09 | 0.53 | 2.76 | 1.60 |
time (sec) |
N/A | 2.457 | 0.792 | 180.000 | 0.260 | 1.075 | 102.661 | 1.015 | 7.760 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 339 | 993 | 401 | 333 | 0 | 325 | 0 | 572 | 0 |
N.S. |
1 | 2.93 | 1.18 | 0.98 | 0.00 | 0.96 | 0.00 | 1.69 | 0.00 |
time (sec) |
N/A | 1.090 | 3.806 | 7.013 | 0.000 | 0.269 | 0.000 | 0.340 | 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 | 340 | 0 | 212 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.62 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 15.693 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 342 | 913 | 401 | 279 | 39 | 0 | 31 | 39 | 39 |
N.S. |
1 | 2.67 | 1.17 | 0.82 | 0.11 | 0.00 | 0.09 | 0.11 | 0.11 |
time (sec) |
N/A | 3.100 | 0.992 | 0.582 | 0.219 | 0.000 | 14.665 | 1.426 | 7.102 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 342 | 913 | 401 | 279 | 39 | 0 | 31 | 39 | 39 |
N.S. |
1 | 2.67 | 1.17 | 0.82 | 0.11 | 0.00 | 0.09 | 0.11 | 0.11 |
time (sec) |
N/A | 3.010 | 0.002 | 0.000 | 0.250 | 0.000 | 14.796 | 1.427 | 0.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | N/A | F(-2) | N/A |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 343 | 1106 | 417 | 520 | 42 | 0 | 37 | 0 | 42 |
N.S. |
1 | 3.22 | 1.22 | 1.52 | 0.12 | 0.00 | 0.11 | 0.00 | 0.12 |
time (sec) |
N/A | 3.065 | 0.562 | 0.318 | 0.226 | 0.000 | 2.726 | 0.000 | 7.388 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 343 | 901 | 405 | 280 | 38 | 0 | 31 | 38 | 38 |
N.S. |
1 | 2.63 | 1.18 | 0.82 | 0.11 | 0.00 | 0.09 | 0.11 | 0.11 |
time (sec) |
N/A | 2.970 | 0.965 | 0.434 | 0.219 | 0.000 | 13.457 | 1.380 | 7.015 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 343 | 901 | 405 | 280 | 38 | 0 | 31 | 38 | 38 |
N.S. |
1 | 2.63 | 1.18 | 0.82 | 0.11 | 0.00 | 0.09 | 0.11 | 0.11 |
time (sec) |
N/A | 2.817 | 0.001 | 0.000 | 0.218 | 0.000 | 13.453 | 1.367 | 0.002 |
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 | 343 | 0 | 270 | 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 | 25.327 | 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 | F | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 345 | 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 | B | A | N/A | N/A | F(-1) | N/A | C | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 346 | 1415 | 380 | 215 | 41 | 0 | 31 | 252 | 39 |
N.S. |
1 | 4.09 | 1.10 | 0.62 | 0.12 | 0.00 | 0.09 | 0.73 | 0.11 |
time (sec) |
N/A | 4.706 | 1.078 | 0.407 | 0.213 | 0.000 | 12.000 | 44.178 | 7.129 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | N/A | C | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 346 | 1415 | 380 | 215 | 41 | 0 | 31 | 252 | 39 |
N.S. |
1 | 4.09 | 1.10 | 0.62 | 0.12 | 0.00 | 0.09 | 0.73 | 0.11 |
time (sec) |
N/A | 4.509 | 0.004 | 0.000 | 0.229 | 0.000 | 12.106 | 44.020 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | A | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 347 | 0 | 0 | 0 | 0 | 811 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 2.34 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 0.000 | 0.000 | 0.453 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | 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 | 348 | 1370 | 205 | 36 | 38 | 12728 | 34 | 38 | 38 |
N.S. |
1 | 3.94 | 0.59 | 0.10 | 0.11 | 36.57 | 0.10 | 0.11 | 0.11 |
time (sec) |
N/A | 4.202 | 0.381 | 0.010 | 0.309 | 2.039 | 1.931 | 0.566 | 7.218 |
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 | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 349 | 683 | 359 | 36 | 38 | 10165 | 37 | 38 | 38 |
N.S. |
1 | 1.96 | 1.03 | 0.10 | 0.11 | 29.13 | 0.11 | 0.11 | 0.11 |
time (sec) |
N/A | 2.443 | 0.521 | 0.016 | 0.323 | 16.264 | 24.238 | 0.354 | 7.502 |
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 | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 349 | 683 | 359 | 36 | 38 | 10165 | 37 | 38 | 38 |
N.S. |
1 | 1.96 | 1.03 | 0.10 | 0.11 | 29.13 | 0.11 | 0.11 | 0.11 |
time (sec) |
N/A | 2.299 | 0.001 | 0.000 | 0.325 | 16.153 | 24.010 | 0.392 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 351 | 196 | 331 | 37 | 0 | 2012 | 0 | 0 | 0 |
N.S. |
1 | 0.56 | 0.94 | 0.11 | 0.00 | 5.73 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.628 | 2.746 | 33.642 | 0.000 | 132.860 | 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 | 351 | 0 | 407 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.16 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.969 | 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 | 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 | 351 | 0 | 0 | 53 | 55 | 0 | 49 | 55 | 55 |
N.S. |
1 | 0.00 | 0.00 | 0.15 | 0.16 | 0.00 | 0.14 | 0.16 | 0.16 |
time (sec) |
N/A | 0.000 | 0.000 | 0.011 | 0.302 | 0.000 | 2.288 | 1.603 | 7.919 |
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 | 351 | 0 | 0 | 53 | 55 | 0 | 49 | 55 | 55 |
N.S. |
1 | 0.00 | 0.00 | 0.15 | 0.16 | 0.00 | 0.14 | 0.16 | 0.16 |
time (sec) |
N/A | 0.000 | 0.000 | 0.000 | 0.311 | 0.000 | 2.251 | 1.653 | 0.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F | F(-1) | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 352 | 0 | 288 | 435 | 0 | 14643 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.82 | 1.24 | 0.00 | 41.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 2.607 | 2.184 | 0.000 | 11.912 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | F(-1) | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 352 | 0 | 226 | 203 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.64 | 0.58 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.435 | 0.277 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | F(-1) | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 352 | 0 | 223 | 278 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.63 | 0.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.485 | 0.315 | 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 | F(-1) | F(-1) | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 352 | 0 | 129 | 169 | 40 | 607 | 0 | 0 | 40 |
N.S. |
1 | 0.00 | 0.37 | 0.48 | 0.11 | 1.72 | 0.00 | 0.00 | 0.11 |
time (sec) |
N/A | 0.000 | 1.334 | 0.602 | 0.247 | 3.160 | 0.000 | 0.000 | 7.461 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 354 | 166 | 301 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.47 | 0.85 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.273 | 0.450 | 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 | F(-1) | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 354 | 0 | 295 | 494 | 84 | 0 | 95 | 64 | 64 |
N.S. |
1 | 0.00 | 0.83 | 1.40 | 0.24 | 0.00 | 0.27 | 0.18 | 0.18 |
time (sec) |
N/A | 0.000 | 0.163 | 135.562 | 0.228 | 0.000 | 3.510 | 0.281 | 8.628 |
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 | 355 | 0 | 250 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.70 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 13.717 | 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 | A | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 356 | 0 | 383 | 218 | 0 | 418 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.08 | 0.61 | 0.00 | 1.17 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.808 | 26.893 | 0.000 | 1.621 | 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 | 357 | 0 | 606 | 32 | 32 | 6616 | 37 | 32 | 32 |
N.S. |
1 | 0.00 | 1.70 | 0.09 | 0.09 | 18.53 | 0.10 | 0.09 | 0.09 |
time (sec) |
N/A | 0.000 | 0.565 | 0.026 | 0.595 | 1.197 | 23.199 | 124.946 | 7.554 |
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 | 357 | 0 | 606 | 32 | 32 | 6616 | 37 | 32 | 32 |
N.S. |
1 | 0.00 | 1.70 | 0.09 | 0.09 | 18.53 | 0.10 | 0.09 | 0.09 |
time (sec) |
N/A | 0.000 | 0.001 | 0.000 | 0.656 | 1.169 | 23.038 | 125.451 | 0.003 |
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 | 357 | 0 | 511 | 32 | 32 | 6606 | 37 | 32 | 32 |
N.S. |
1 | 0.00 | 1.43 | 0.09 | 0.09 | 18.50 | 0.10 | 0.09 | 0.09 |
time (sec) |
N/A | 0.000 | 0.472 | 0.016 | 0.599 | 1.127 | 6.329 | 123.893 | 7.422 |
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 | 357 | 0 | 511 | 32 | 32 | 6606 | 37 | 32 | 32 |
N.S. |
1 | 0.00 | 1.43 | 0.09 | 0.09 | 18.50 | 0.10 | 0.09 | 0.09 |
time (sec) |
N/A | 0.000 | 0.001 | 0.000 | 0.592 | 1.136 | 6.308 | 124.627 | 0.002 |
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 | 357 | 0 | 511 | 32 | 32 | 6606 | 37 | 32 | 32 |
N.S. |
1 | 0.00 | 1.43 | 0.09 | 0.09 | 18.50 | 0.10 | 0.09 | 0.09 |
time (sec) |
N/A | 0.000 | 0.001 | 0.000 | 0.581 | 1.116 | 6.397 | 123.832 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 362 | 299 | 316 | 523 | 0 | 854 | 0 | 0 | 0 |
N.S. |
1 | 0.83 | 0.87 | 1.44 | 0.00 | 2.36 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.593 | 1.640 | 0.167 | 0.000 | 14.607 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | B | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 362 | 0 | 348 | 0 | 0 | 635 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.96 | 0.00 | 0.00 | 1.75 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 4.366 | 0.000 | 0.000 | 4.760 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 363 | 146 | 137 | 214 | 0 | 0 | 0 | 127 | 0 |
N.S. |
1 | 0.40 | 0.38 | 0.59 | 0.00 | 0.00 | 0.00 | 0.35 | 0.00 |
time (sec) |
N/A | 0.457 | 0.318 | 0.052 | 0.000 | 0.000 | 0.000 | 0.636 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | C | N/A | C | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 366 | 1255 | 454 | 372 | 37 | 7889 | 27 | 310 | 37 |
N.S. |
1 | 3.43 | 1.24 | 1.02 | 0.10 | 21.55 | 0.07 | 0.85 | 0.10 |
time (sec) |
N/A | 4.814 | 1.169 | 0.408 | 0.230 | 10.591 | 5.682 | 5.828 | 7.217 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | C | N/A | C | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 366 | 1255 | 454 | 372 | 37 | 7889 | 27 | 310 | 37 |
N.S. |
1 | 3.43 | 1.24 | 1.02 | 0.10 | 21.55 | 0.07 | 0.85 | 0.10 |
time (sec) |
N/A | 4.421 | 0.008 | 0.000 | 0.234 | 10.535 | 5.643 | 5.891 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | C | F(-1) | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 366 | 0 | 364 | 187 | 42 | 1303 | 0 | 42 | 42 |
N.S. |
1 | 0.00 | 0.99 | 0.51 | 0.11 | 3.56 | 0.00 | 0.11 | 0.11 |
time (sec) |
N/A | 0.000 | 2.105 | 2.908 | 0.289 | 1.237 | 0.000 | 0.393 | 7.452 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | C | F(-1) | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 366 | 0 | 364 | 187 | 42 | 1303 | 0 | 42 | 42 |
N.S. |
1 | 0.00 | 0.99 | 0.51 | 0.11 | 3.56 | 0.00 | 0.11 | 0.11 |
time (sec) |
N/A | 0.000 | 0.001 | 0.000 | 0.288 | 1.231 | 0.000 | 0.404 | 0.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 367 | 312 | 411 | 331 | 0 | 0 | 0 | 354 | 0 |
N.S. |
1 | 0.85 | 1.12 | 0.90 | 0.00 | 0.00 | 0.00 | 0.96 | 0.00 |
time (sec) |
N/A | 0.728 | 9.062 | 0.666 | 0.000 | 0.000 | 0.000 | 0.309 | 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) | B |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 367 | 0 | 367 | 208 | 82 | 606 | 0 | 0 | 11152 |
N.S. |
1 | 0.00 | 1.00 | 0.57 | 0.22 | 1.65 | 0.00 | 0.00 | 30.39 |
time (sec) |
N/A | 0.000 | 0.417 | 0.222 | 0.282 | 0.608 | 0.000 | 0.000 | 21.098 |
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 | 369 | 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 | F | F | B | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 370 | 0 | 504 | 0 | 0 | 735 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.36 | 0.00 | 0.00 | 1.99 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 3.593 | 0.000 | 0.000 | 10.480 | 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 | 371 | 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 | 375 | 0 | 311 | 37 | 39 | 974 | 85 | 0 | 38 |
N.S. |
1 | 0.00 | 0.83 | 0.10 | 0.10 | 2.60 | 0.23 | 0.00 | 0.10 |
time (sec) |
N/A | 0.000 | 0.502 | 0.016 | 0.870 | 0.301 | 43.626 | 0.000 | 8.167 |
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 | 375 | 0 | 311 | 37 | 39 | 974 | 85 | 0 | 38 |
N.S. |
1 | 0.00 | 0.83 | 0.10 | 0.10 | 2.60 | 0.23 | 0.00 | 0.10 |
time (sec) |
N/A | 0.000 | 0.005 | 0.000 | 0.957 | 0.302 | 43.587 | 0.000 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | 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 | 376 | 455 | 517 | 276 | 44 | 777 | 126 | 44 | 44 |
N.S. |
1 | 1.21 | 1.38 | 0.73 | 0.12 | 2.07 | 0.34 | 0.12 | 0.12 |
time (sec) |
N/A | 3.945 | 1.638 | 10.214 | 0.443 | 1.689 | 34.098 | 0.354 | 7.987 |
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 | 376 | 0 | 364 | 40 | 42 | 0 | 39 | 42 | 42 |
N.S. |
1 | 0.00 | 0.97 | 0.11 | 0.11 | 0.00 | 0.10 | 0.11 | 0.11 |
time (sec) |
N/A | 0.000 | 7.880 | 0.014 | 0.252 | 0.000 | 2.530 | 1.167 | 7.814 |
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 | 376 | 0 | 364 | 40 | 42 | 0 | 39 | 42 | 42 |
N.S. |
1 | 0.00 | 0.97 | 0.11 | 0.11 | 0.00 | 0.10 | 0.11 | 0.11 |
time (sec) |
N/A | 0.000 | 0.001 | 0.000 | 0.287 | 0.000 | 2.581 | 1.251 | 0.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-2) | F(-1) | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 380 | 0 | 383 | 203 | 31 | 0 | 0 | 30 | 28 |
N.S. |
1 | 0.00 | 1.01 | 0.53 | 0.08 | 0.00 | 0.00 | 0.08 | 0.07 |
time (sec) |
N/A | 0.000 | 0.265 | 0.038 | 0.302 | 0.000 | 0.000 | 0.576 | 7.596 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-2) | F(-1) | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 380 | 0 | 383 | 203 | 31 | 0 | 0 | 30 | 28 |
N.S. |
1 | 0.00 | 1.01 | 0.53 | 0.08 | 0.00 | 0.00 | 0.08 | 0.07 |
time (sec) |
N/A | 0.000 | 0.002 | 0.000 | 0.307 | 0.000 | 0.000 | 0.567 | 0.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | A | F | F(-2) | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 383 | 0 | 0 | 260 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.68 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 1.013 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | F(-2) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 383 | 0 | 297 | 258 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.78 | 0.67 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 11.098 | 0.763 | 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(-1) | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 383 | 0 | 537 | 0 | 0 | 563 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.40 | 0.00 | 0.00 | 1.47 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 10.649 | 0.000 | 0.000 | 0.337 | 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(-1) | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 383 | 0 | 383 | 0 | 0 | 210 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.00 | 0.00 | 0.55 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.815 | 0.000 | 0.000 | 0.251 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | B | F | F | C | F | F(-1) | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 384 | 869 | 13171 | 0 | 0 | 2872 | 0 | 0 | 0 |
N.S. |
1 | 2.26 | 34.30 | 0.00 | 0.00 | 7.48 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.938 | 40.286 | 0.000 | 0.000 | 0.299 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 385 | 315 | 414 | 330 | 0 | 0 | 0 | 372 | 0 |
N.S. |
1 | 0.82 | 1.08 | 0.86 | 0.00 | 0.00 | 0.00 | 0.97 | 0.00 |
time (sec) |
N/A | 0.778 | 9.162 | 0.603 | 0.000 | 0.000 | 0.000 | 0.385 | 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 | 387 | 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 | C | F | A | C | F | B | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 388 | 351 | 155 | 0 | 535 | 6825 | 0 | 1632 | 532 |
N.S. |
1 | 0.90 | 0.40 | 0.00 | 1.38 | 17.59 | 0.00 | 4.21 | 1.37 |
time (sec) |
N/A | 0.530 | 10.112 | 0.000 | 0.265 | 0.394 | 0.000 | 1.352 | 8.802 |
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 | 388 | 0 | 381 | 32 | 198 | 0 | 31 | 34 | 34 |
N.S. |
1 | 0.00 | 0.98 | 0.08 | 0.51 | 0.00 | 0.08 | 0.09 | 0.09 |
time (sec) |
N/A | 0.000 | 1.003 | 0.254 | 0.348 | 0.000 | 1.391 | 4.769 | 7.102 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | C | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 390 | 0 | 408 | 65 | 0 | 2118 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.05 | 0.17 | 0.00 | 5.43 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 3.282 | 68.112 | 0.000 | 143.787 | 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 | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 390 | 433 | 367 | 0 | 0 | 319 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 0.94 | 0.00 | 0.00 | 0.82 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.891 | 0.774 | 0.000 | 0.000 | 0.277 | 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 | 392 | 0 | 689 | 32 | 32 | 6658 | 37 | 0 | 32 |
N.S. |
1 | 0.00 | 1.76 | 0.08 | 0.08 | 16.98 | 0.09 | 0.00 | 0.08 |
time (sec) |
N/A | 0.000 | 0.651 | 0.019 | 0.599 | 1.125 | 47.278 | 0.000 | 6.865 |
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 | 392 | 0 | 689 | 32 | 32 | 6658 | 37 | 0 | 32 |
N.S. |
1 | 0.00 | 1.76 | 0.08 | 0.08 | 16.98 | 0.09 | 0.00 | 0.08 |
time (sec) |
N/A | 0.000 | 0.005 | 0.000 | 0.588 | 1.102 | 47.335 | 0.000 | 0.002 |
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 | 392 | 0 | 689 | 32 | 32 | 6658 | 37 | 0 | 32 |
N.S. |
1 | 0.00 | 1.76 | 0.08 | 0.08 | 16.98 | 0.09 | 0.00 | 0.08 |
time (sec) |
N/A | 0.000 | 0.001 | 0.000 | 0.573 | 1.081 | 47.390 | 0.000 | 0.002 |
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 | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 394 | 621 | 399 | 39 | 41 | 10117 | 46 | 41 | 41 |
N.S. |
1 | 1.58 | 1.01 | 0.10 | 0.10 | 25.68 | 0.12 | 0.10 | 0.10 |
time (sec) |
N/A | 2.708 | 0.607 | 0.010 | 0.337 | 13.023 | 35.267 | 0.483 | 6.849 |
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 | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 394 | 621 | 399 | 39 | 41 | 10117 | 46 | 41 | 41 |
N.S. |
1 | 1.58 | 1.01 | 0.10 | 0.10 | 25.68 | 0.12 | 0.10 | 0.10 |
time (sec) |
N/A | 2.417 | 0.001 | 0.000 | 0.348 | 13.122 | 35.487 | 0.471 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 397 | 499 | 391 | 0 | 0 | 328 | 0 | 0 | 0 |
N.S. |
1 | 1.26 | 0.98 | 0.00 | 0.00 | 0.83 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.772 | 0.782 | 0.000 | 0.000 | 0.255 | 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 | 398 | 0 | 367 | 29 | 31 | 0 | 27 | 31 | 31 |
N.S. |
1 | 0.00 | 0.92 | 0.07 | 0.08 | 0.00 | 0.07 | 0.08 | 0.08 |
time (sec) |
N/A | 0.000 | 2.092 | 0.008 | 0.253 | 0.000 | 0.525 | 0.520 | 7.324 |
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 | 398 | 0 | 367 | 29 | 31 | 0 | 27 | 31 | 31 |
N.S. |
1 | 0.00 | 0.92 | 0.07 | 0.08 | 0.00 | 0.07 | 0.08 | 0.08 |
time (sec) |
N/A | 0.000 | 0.001 | 0.000 | 0.247 | 0.000 | 0.527 | 0.527 | 0.002 |
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 | 399 | 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 | C | F | C | F | F(-1) | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 399 | 0 | 307 | 40 | 0 | 3667 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.77 | 0.10 | 0.00 | 9.19 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 2.989 | 0.994 | 0.000 | 6.401 | 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 | 399 | 0 | 427 | 34 | 36 | 3329 | 39 | 0 | 36 |
N.S. |
1 | 0.00 | 1.07 | 0.09 | 0.09 | 8.34 | 0.10 | 0.00 | 0.09 |
time (sec) |
N/A | 0.000 | 0.579 | 0.008 | 0.608 | 1.032 | 3.638 | 0.000 | 6.961 |
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 | 399 | 0 | 427 | 34 | 36 | 3329 | 39 | 0 | 36 |
N.S. |
1 | 0.00 | 1.07 | 0.09 | 0.09 | 8.34 | 0.10 | 0.00 | 0.09 |
time (sec) |
N/A | 0.000 | 0.004 | 0.001 | 0.603 | 0.984 | 3.620 | 0.000 | 0.004 |