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 | B | B | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 117 | 140 | 154 | 402 | 286 | 531 | 0 | 0 | 0 |
N.S. |
1 | 1.20 | 1.32 | 3.44 | 2.44 | 4.54 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.676 | 0.455 | 0.388 | 0.321 | 0.277 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | B | B | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 84 | 105 | 143 | 242 | 176 | 329 | 0 | 0 | 0 |
N.S. |
1 | 1.25 | 1.70 | 2.88 | 2.10 | 3.92 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.503 | 0.293 | 0.374 | 0.311 | 0.270 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | B | A | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 71 | 59 | 109 | 78 | 171 | 0 | 0 | 0 |
N.S. |
1 | 1.25 | 1.04 | 1.91 | 1.37 | 3.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.351 | 0.153 | 0.128 | 0.316 | 0.261 | 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 | 14 | 14 | 16 | 14 | 42 | 16 | 12 | 16 | 16 |
N.S. |
1 | 1.00 | 1.14 | 1.00 | 3.00 | 1.14 | 0.86 | 1.14 | 1.14 |
time (sec) |
N/A | 0.198 | 9.685 | 0.049 | 0.408 | 0.258 | 0.422 | 0.256 | 1.675 |
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 | 14 | 14 | 16 | 14 | 71 | 27 | 14 | 16 | 16 |
N.S. |
1 | 1.00 | 1.14 | 1.00 | 5.07 | 1.93 | 1.00 | 1.14 | 1.14 |
time (sec) |
N/A | 0.202 | 24.627 | 0.041 | 0.356 | 0.263 | 0.564 | 0.312 | 1.684 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | B | B | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 119 | 142 | 179 | 336 | 343 | 1505 | 0 | 0 | 0 |
N.S. |
1 | 1.19 | 1.50 | 2.82 | 2.88 | 12.65 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.687 | 0.572 | 0.220 | 0.369 | 0.285 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 108 | 115 | 185 | 0 | 840 | 0 | 0 | 0 |
N.S. |
1 | 1.23 | 1.31 | 2.10 | 0.00 | 9.55 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.497 | 0.449 | 0.275 | 0.000 | 0.284 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 40 | 43 | 77 | 62 | 127 | 232 | 66 | 127 | 56 |
N.S. |
1 | 1.08 | 1.92 | 1.55 | 3.18 | 5.80 | 1.65 | 3.18 | 1.40 |
time (sec) |
N/A | 0.274 | 0.217 | 0.050 | 0.241 | 0.270 | 0.153 | 0.281 | 0.101 |
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 | 110 | 18 | 14 | 18 | 18 |
N.S. |
1 | 1.00 | 1.12 | 1.00 | 6.88 | 1.12 | 0.88 | 1.12 | 1.12 |
time (sec) |
N/A | 0.214 | 19.225 | 0.042 | 0.301 | 0.255 | 0.418 | 0.303 | 1.656 |
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 | 195 | 29 | 15 | 18 | 18 |
N.S. |
1 | 1.00 | 1.12 | 1.00 | 12.19 | 1.81 | 0.94 | 1.12 | 1.12 |
time (sec) |
N/A | 0.212 | 24.677 | 0.041 | 0.350 | 0.258 | 0.601 | 0.381 | 1.677 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | B | B | B | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 237 | 281 | 496 | 685 | 595 | 5569 | 0 | 0 | 0 |
N.S. |
1 | 1.19 | 2.09 | 2.89 | 2.51 | 23.50 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.554 | 6.912 | 0.271 | 0.380 | 0.333 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | B | B | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 157 | 180 | 226 | 375 | 392 | 3071 | 0 | 0 | 0 |
N.S. |
1 | 1.15 | 1.44 | 2.39 | 2.50 | 19.56 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.977 | 2.999 | 0.239 | 0.378 | 0.292 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 117 | 97 | 166 | 0 | 1462 | 0 | 0 | 0 |
N.S. |
1 | 1.17 | 0.97 | 1.66 | 0.00 | 14.62 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.555 | 1.807 | 0.064 | 0.000 | 0.279 | 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 | 303 | 18 | 14 | 18 | 18 |
N.S. |
1 | 1.00 | 1.12 | 1.00 | 18.94 | 1.12 | 0.88 | 1.12 | 1.12 |
time (sec) |
N/A | 0.212 | 26.719 | 0.048 | 0.368 | 0.237 | 0.424 | 0.354 | 1.712 |
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 | 501 | 29 | 15 | 18 | 18 |
N.S. |
1 | 1.00 | 1.12 | 1.00 | 31.31 | 1.81 | 0.94 | 1.12 | 1.12 |
time (sec) |
N/A | 0.215 | 22.527 | 0.045 | 0.434 | 0.249 | 0.598 | 0.515 | 1.765 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | F(-2) | F | F | F(-1) |
verified |
N/A | No | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 1392 | 1298 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.93 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.518 | 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 | F | F | F | F(-2) | F | F | F(-1) |
verified |
N/A | No | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 1363 | 1269 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.93 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.189 | 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 | F | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 1280 | 1187 | 556 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.93 | 0.43 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.895 | 4.712 | 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(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 1280 | 1187 | 556 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.93 | 0.43 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.685 | 3.378 | 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 | F | F | F(-2) | F | F | F(-1) |
verified |
N/A | No | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 1365 | 1268 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.93 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.009 | 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 | N/A | N/A | N/A | N/A | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 22 | 18 | 20 | 0 | 19 | 20 | 20 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 1.00 | 0.00 | 0.95 | 1.00 | 1.00 |
time (sec) |
N/A | 2.318 | 29.376 | 0.068 | 0.553 | 0.000 | 3.000 | 0.445 | 2.056 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | F(-1) | N/A | N/A | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 0 | 18 | 20 | 0 | 19 | 20 | 20 |
N.S. |
1 | 1.00 | 0.00 | 0.90 | 1.00 | 0.00 | 0.95 | 1.00 | 1.00 |
time (sec) |
N/A | 0.225 | 0.000 | 0.040 | 0.549 | 0.000 | 1.305 | 0.340 | 1.992 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | F(-1) | N/A | N/A | F(-2) | N/A | F(-2) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 0 | 18 | 20 | 0 | 19 | 0 | 20 |
N.S. |
1 | 1.00 | 0.00 | 0.90 | 1.00 | 0.00 | 0.95 | 0.00 | 1.00 |
time (sec) |
N/A | 0.237 | 0.000 | 0.044 | 0.589 | 0.000 | 1.250 | 0.000 | 2.032 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 22 | 18 | 20 | 0 | 19 | 20 | 20 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 1.00 | 0.00 | 0.95 | 1.00 | 1.00 |
time (sec) |
N/A | 2.146 | 31.048 | 0.083 | 0.584 | 0.000 | 1.402 | 0.489 | 2.107 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 22 | 18 | 20 | 0 | 17 | 20 | 20 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 1.00 | 0.00 | 0.85 | 1.00 | 1.00 |
time (sec) |
N/A | 0.240 | 24.803 | 0.037 | 0.334 | 0.000 | 1.002 | 0.321 | 2.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 22 | 18 | 20 | 0 | 17 | 20 | 20 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 1.00 | 0.00 | 0.85 | 1.00 | 1.00 |
time (sec) |
N/A | 0.240 | 2.010 | 0.039 | 0.333 | 0.000 | 0.714 | 0.274 | 1.713 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 22 | 18 | 20 | 0 | 19 | 20 | 20 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 1.00 | 0.00 | 0.95 | 1.00 | 1.00 |
time (sec) |
N/A | 0.238 | 2.088 | 0.038 | 0.449 | 0.000 | 0.954 | 0.284 | 1.764 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 22 | 18 | 20 | 0 | 19 | 20 | 20 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 1.00 | 0.00 | 0.95 | 1.00 | 1.00 |
time (sec) |
N/A | 0.246 | 21.464 | 0.041 | 0.460 | 0.000 | 1.138 | 0.386 | 1.970 |
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 | 12 | 12 | 14 | 12 | 171 | 14 | 12 | 14 | 14 |
N.S. |
1 | 1.00 | 1.17 | 1.00 | 14.25 | 1.17 | 1.00 | 1.17 | 1.17 |
time (sec) |
N/A | 0.212 | 109.517 | 0.024 | 0.754 | 0.250 | 0.600 | 0.310 | 1.684 |
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 | 12 | 12 | 14 | 12 | 144 | 14 | 12 | 14 | 14 |
N.S. |
1 | 1.00 | 1.17 | 1.00 | 12.00 | 1.17 | 1.00 | 1.17 | 1.17 |
time (sec) |
N/A | 0.211 | 8.317 | 0.021 | 0.676 | 0.248 | 0.471 | 0.284 | 1.704 |
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 | 10 | 10 | 12 | 10 | 100 | 12 | 10 | 12 | 12 |
N.S. |
1 | 1.00 | 1.20 | 1.00 | 10.00 | 1.20 | 1.00 | 1.20 | 1.20 |
time (sec) |
N/A | 0.195 | 6.180 | 0.020 | 0.459 | 0.242 | 0.421 | 0.260 | 1.701 |
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 | 169 | 179 | 244 | 165 | 186 | 304 | 0 | 188 | 273 |
N.S. |
1 | 1.06 | 1.44 | 0.98 | 1.10 | 1.80 | 0.00 | 1.11 | 1.62 |
time (sec) |
N/A | 0.706 | 0.622 | 0.233 | 0.270 | 0.253 | 0.000 | 0.268 | 1.979 |
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 | 122 | 127 | 169 | 103 | 126 | 192 | 0 | 119 | 187 |
N.S. |
1 | 1.04 | 1.39 | 0.84 | 1.03 | 1.57 | 0.00 | 0.98 | 1.53 |
time (sec) |
N/A | 0.492 | 0.385 | 0.204 | 0.245 | 0.244 | 0.000 | 0.266 | 1.849 |
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 | 74 | 78 | 81 | 46 | 74 | 101 | 0 | 64 | 76 |
N.S. |
1 | 1.05 | 1.09 | 0.62 | 1.00 | 1.36 | 0.00 | 0.86 | 1.03 |
time (sec) |
N/A | 0.320 | 0.511 | 0.183 | 0.213 | 0.253 | 0.000 | 0.269 | 1.774 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 157 | 157 | 122 | 61 | 48 | 73 | 0 | 47 | 0 |
N.S. |
1 | 1.00 | 0.78 | 0.39 | 0.31 | 0.46 | 0.00 | 0.30 | 0.00 |
time (sec) |
N/A | 0.750 | 0.433 | 0.353 | 0.352 | 0.252 | 0.000 | 0.265 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | A | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 159 | 169 | 206 | 90 | 56 | 217 | 0 | 320 | 0 |
N.S. |
1 | 1.06 | 1.30 | 0.57 | 0.35 | 1.36 | 0.00 | 2.01 | 0.00 |
time (sec) |
N/A | 0.756 | 0.666 | 0.281 | 0.489 | 0.265 | 0.000 | 0.303 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 211 | 220 | 264 | 211 | 68 | 342 | 0 | 176 | 0 |
N.S. |
1 | 1.04 | 1.25 | 1.00 | 0.32 | 1.62 | 0.00 | 0.83 | 0.00 |
time (sec) |
N/A | 0.974 | 0.858 | 0.306 | 0.646 | 0.252 | 0.000 | 0.272 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 230 | 230 | 420 | 273 | 296 | 573 | 0 | 368 | 267 |
N.S. |
1 | 1.00 | 1.83 | 1.19 | 1.29 | 2.49 | 0.00 | 1.60 | 1.16 |
time (sec) |
N/A | 0.538 | 2.018 | 0.298 | 0.508 | 0.257 | 0.000 | 0.269 | 1.854 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 170 | 170 | 207 | 163 | 190 | 361 | 0 | 217 | 165 |
N.S. |
1 | 1.00 | 1.22 | 0.96 | 1.12 | 2.12 | 0.00 | 1.28 | 0.97 |
time (sec) |
N/A | 0.428 | 1.531 | 0.259 | 0.425 | 0.259 | 0.000 | 0.272 | 1.833 |
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 | 133 | 133 | 114 | 74 | 106 | 192 | 0 | 103 | 89 |
N.S. |
1 | 1.00 | 0.86 | 0.56 | 0.80 | 1.44 | 0.00 | 0.77 | 0.67 |
time (sec) |
N/A | 0.387 | 0.991 | 0.253 | 0.316 | 0.244 | 0.000 | 0.266 | 1.790 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 297 | 297 | 199 | 106 | 81 | 133 | 0 | 75 | 0 |
N.S. |
1 | 1.00 | 0.67 | 0.36 | 0.27 | 0.45 | 0.00 | 0.25 | 0.00 |
time (sec) |
N/A | 1.051 | 0.803 | 0.380 | 0.707 | 0.255 | 0.000 | 0.268 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 420 | 420 | 442 | 163 | 100 | 609 | 0 | 583 | 0 |
N.S. |
1 | 1.00 | 1.05 | 0.39 | 0.24 | 1.45 | 0.00 | 1.39 | 0.00 |
time (sec) |
N/A | 1.142 | 1.484 | 0.431 | 1.348 | 0.260 | 0.000 | 0.308 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 336 | 336 | 615 | 379 | 407 | 844 | 0 | 548 | 376 |
N.S. |
1 | 1.00 | 1.83 | 1.13 | 1.21 | 2.51 | 0.00 | 1.63 | 1.12 |
time (sec) |
N/A | 0.678 | 3.457 | 0.329 | 1.666 | 0.244 | 0.000 | 0.282 | 2.028 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 246 | 246 | 371 | 223 | 255 | 532 | 0 | 315 | 236 |
N.S. |
1 | 1.00 | 1.51 | 0.91 | 1.04 | 2.16 | 0.00 | 1.28 | 0.96 |
time (sec) |
N/A | 0.520 | 2.115 | 0.303 | 1.190 | 0.248 | 0.000 | 0.283 | 1.927 |
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 | 183 | 182 | 185 | 102 | 139 | 286 | 0 | 142 | 129 |
N.S. |
1 | 0.99 | 1.01 | 0.56 | 0.76 | 1.56 | 0.00 | 0.78 | 0.70 |
time (sec) |
N/A | 0.495 | 1.215 | 0.283 | 0.727 | 0.267 | 0.000 | 0.275 | 1.827 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 437 | 437 | 312 | 151 | 114 | 193 | 0 | 103 | 0 |
N.S. |
1 | 1.00 | 0.71 | 0.35 | 0.26 | 0.44 | 0.00 | 0.24 | 0.00 |
time (sec) |
N/A | 2.011 | 0.959 | 0.301 | 2.488 | 0.262 | 0.000 | 0.276 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 692 | 692 | 794 | 239 | 140 | 1164 | 0 | 840 | 0 |
N.S. |
1 | 1.00 | 1.15 | 0.35 | 0.20 | 1.68 | 0.00 | 1.21 | 0.00 |
time (sec) |
N/A | 2.128 | 3.133 | 0.371 | 5.230 | 0.277 | 0.000 | 0.317 | 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 | 20 | 20 | 22 | 20 | 122 | 37 | 44 | 22 | 22 |
N.S. |
1 | 1.00 | 1.10 | 1.00 | 6.10 | 1.85 | 2.20 | 1.10 | 1.10 |
time (sec) |
N/A | 0.227 | 27.843 | 0.049 | 0.482 | 0.240 | 2.282 | 0.297 | 1.956 |
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 | 18 | 18 | 20 | 18 | 68 | 20 | 24 | 20 | 20 |
N.S. |
1 | 1.00 | 1.11 | 1.00 | 3.78 | 1.11 | 1.33 | 1.11 | 1.11 |
time (sec) |
N/A | 0.214 | 16.542 | 0.038 | 0.296 | 0.242 | 1.551 | 0.270 | 1.935 |
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 | 89 | 89 | 116 | 0 | 0 | 148 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.30 | 0.00 | 0.00 | 1.66 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.333 | 0.835 | 0.000 | 0.000 | 0.088 | 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 | 153 | 153 | 163 | 0 | 0 | 248 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.07 | 0.00 | 0.00 | 1.62 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.429 | 1.176 | 0.000 | 0.000 | 0.080 | 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 | 224 | 224 | 230 | 0 | 0 | 345 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.03 | 0.00 | 0.00 | 1.54 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.495 | 1.387 | 0.000 | 0.000 | 0.096 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 137 | 137 | 161 | 470 | 304 | 583 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.18 | 3.43 | 2.22 | 4.26 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.487 | 0.498 | 0.262 | 0.257 | 0.288 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 147 | 290 | 179 | 364 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.43 | 2.82 | 1.74 | 3.53 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.420 | 0.350 | 0.243 | 0.257 | 0.267 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 72 | 129 | 0 | 191 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.96 | 1.72 | 0.00 | 2.55 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.320 | 0.100 | 0.099 | 0.000 | 0.266 | 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 | 18 | 18 | 20 | 18 | 56 | 20 | 15 | 20 | 20 |
N.S. |
1 | 1.00 | 1.11 | 1.00 | 3.11 | 1.11 | 0.83 | 1.11 | 1.11 |
time (sec) |
N/A | 0.213 | 2.930 | 0.054 | 0.241 | 0.242 | 0.806 | 0.262 | 1.763 |
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 | 18 | 18 | 20 | 18 | 87 | 31 | 17 | 20 | 20 |
N.S. |
1 | 1.00 | 1.11 | 1.00 | 4.83 | 1.72 | 0.94 | 1.11 | 1.11 |
time (sec) |
N/A | 0.211 | 5.644 | 0.056 | 0.264 | 0.254 | 2.912 | 0.326 | 1.872 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 277 | 277 | 544 | 905 | 625 | 3744 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.96 | 3.27 | 2.26 | 13.52 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.809 | 2.950 | 0.364 | 0.302 | 0.324 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 211 | 211 | 237 | 542 | 411 | 2123 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.12 | 2.57 | 1.95 | 10.06 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.656 | 1.810 | 0.355 | 0.280 | 0.285 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 127 | 127 | 214 | 221 | 0 | 944 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.69 | 1.74 | 0.00 | 7.43 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.423 | 6.786 | 0.266 | 0.000 | 0.304 | 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 | 20 | 20 | 22 | 20 | 155 | 36 | 17 | 22 | 22 |
N.S. |
1 | 1.00 | 1.10 | 1.00 | 7.75 | 1.80 | 0.85 | 1.10 | 1.10 |
time (sec) |
N/A | 0.240 | 26.587 | 0.146 | 0.378 | 0.258 | 1.158 | 0.305 | 1.984 |
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 | 20 | 20 | 22 | 20 | 280 | 47 | 19 | 22 | 22 |
N.S. |
1 | 1.00 | 1.10 | 1.00 | 14.00 | 2.35 | 0.95 | 1.10 | 1.10 |
time (sec) |
N/A | 0.242 | 19.531 | 0.145 | 0.422 | 0.259 | 2.056 | 0.443 | 2.184 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | B | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 566 | 566 | 2010 | 1834 | 1297 | 12909 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 3.55 | 3.24 | 2.29 | 22.81 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.435 | 7.824 | 0.622 | 0.394 | 0.421 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | B | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 405 | 396 | 1163 | 1066 | 869 | 7298 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 2.87 | 2.63 | 2.15 | 18.02 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.992 | 7.229 | 0.428 | 0.382 | 0.361 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 261 | 259 | 303 | 459 | 475 | 3262 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 1.16 | 1.76 | 1.82 | 12.50 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.638 | 7.473 | 0.348 | 0.358 | 0.310 | 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 | 20 | 20 | 22 | 20 | 455 | 52 | 17 | 22 | 22 |
N.S. |
1 | 1.00 | 1.10 | 1.00 | 22.75 | 2.60 | 0.85 | 1.10 | 1.10 |
time (sec) |
N/A | 0.235 | 32.798 | 0.303 | 0.557 | 0.276 | 1.400 | 0.414 | 1.936 |
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 | 20 | 20 | 22 | 20 | 926 | 63 | 19 | 22 | 22 |
N.S. |
1 | 1.00 | 1.10 | 1.00 | 46.30 | 3.15 | 0.95 | 1.10 | 1.10 |
time (sec) |
N/A | 0.236 | 34.750 | 0.287 | 0.666 | 0.272 | 2.425 | 0.784 | 2.007 |
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 | 212 | 202 | 247 | 1156 | 528 | 740 | 0 | 0 | 0 |
N.S. |
1 | 0.95 | 1.17 | 5.45 | 2.49 | 3.49 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.978 | 1.037 | 0.323 | 0.315 | 0.274 | 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 | 157 | 155 | 200 | 733 | 337 | 500 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 1.27 | 4.67 | 2.15 | 3.18 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.746 | 0.650 | 0.336 | 0.313 | 0.273 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 108 | 112 | 152 | 357 | 0 | 306 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 1.41 | 3.31 | 0.00 | 2.83 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.487 | 0.694 | 0.227 | 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 | 20 | 20 | 22 | 20 | 114 | 27 | 17 | 22 | 22 |
N.S. |
1 | 1.00 | 1.10 | 1.00 | 5.70 | 1.35 | 0.85 | 1.10 | 1.10 |
time (sec) |
N/A | 0.240 | 4.900 | 0.065 | 0.367 | 0.264 | 1.027 | 0.273 | 1.817 |
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 | 20 | 20 | 22 | 20 | 199 | 51 | 19 | 22 | 22 |
N.S. |
1 | 1.00 | 1.10 | 1.00 | 9.95 | 2.55 | 0.95 | 1.10 | 1.10 |
time (sec) |
N/A | 0.244 | 9.107 | 0.061 | 0.522 | 0.251 | 1.711 | 0.343 | 2.086 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 642 | 642 | 656 | 2683 | 1060 | 6160 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.02 | 4.18 | 1.65 | 9.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.407 | 5.368 | 0.379 | 0.559 | 0.378 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 476 | 476 | 516 | 1605 | 753 | 3693 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.08 | 3.37 | 1.58 | 7.76 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.853 | 3.554 | 0.338 | 0.523 | 0.345 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 196 | 214 | 249 | 661 | 0 | 1790 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 1.27 | 3.37 | 0.00 | 9.13 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.798 | 2.637 | 0.311 | 0.000 | 0.307 | 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 | 20 | 20 | 22 | 20 | 468 | 55 | 19 | 22 | 22 |
N.S. |
1 | 1.00 | 1.10 | 1.00 | 23.40 | 2.75 | 0.95 | 1.10 | 1.10 |
time (sec) |
N/A | 0.242 | 31.577 | 0.062 | 1.113 | 0.271 | 1.600 | 0.318 | 2.472 |
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 | 20 | 20 | 22 | 20 | 784 | 96 | 20 | 22 | 22 |
N.S. |
1 | 1.00 | 1.10 | 1.00 | 39.20 | 4.80 | 1.00 | 1.10 | 1.10 |
time (sec) |
N/A | 0.239 | 28.492 | 0.060 | 2.112 | 0.253 | 3.138 | 0.487 | 2.081 |