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 | C | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 272 | 284 | 216 | 202 | 26 | 1577 | 36 | 286 | 26 |
N.S. |
1 | 1.04 | 0.79 | 0.74 | 0.10 | 5.80 | 0.13 | 1.05 | 0.10 |
time (sec) |
N/A | 0.731 | 0.483 | 0.705 | 0.318 | 75.724 | 2.418 | 0.337 | 7.025 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | N/A | N/A | C | N/A | C | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 272 | 284 | 216 | 202 | 26 | 1577 | 36 | 286 | 26 |
N.S. |
1 | 1.04 | 0.79 | 0.74 | 0.10 | 5.80 | 0.13 | 1.05 | 0.10 |
time (sec) |
N/A | 0.641 | 0.003 | 0.000 | 0.323 | 75.415 | 2.406 | 0.337 | 0.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 273 | 334 | 261 | 0 | 0 | 740 | 0 | 0 | 0 |
N.S. |
1 | 1.22 | 0.96 | 0.00 | 0.00 | 2.71 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.091 | 0.834 | 0.000 | 0.000 | 0.268 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | F | F | B | F | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 273 | 309 | 247 | 0 | 0 | 469 | 0 | 0 | 0 |
N.S. |
1 | 1.13 | 0.90 | 0.00 | 0.00 | 1.72 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.547 | 1.052 | 0.000 | 0.000 | 9.128 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | C | A | F | C | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 274 | 0 | 334 | 334 | 0 | 2527 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.22 | 1.22 | 0.00 | 9.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.953 | 82.273 | 0.000 | 9.202 | 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 | 274 | 0 | 274 | 0 | 0 | 582 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.00 | 0.00 | 2.12 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.223 | 0.000 | 0.000 | 1.185 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | C | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 275 | 70 | 264 | 42 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.25 | 0.96 | 0.15 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.355 | 2.231 | 0.263 | 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 | F(-1) |
verified |
N/A | N/A | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 275 | 0 | 221 | 693 | 0 | 1537 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.80 | 2.52 | 0.00 | 5.59 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 2.037 | 7.163 | 0.000 | 47.889 | 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) | F(-1) | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 275 | 0 | 273 | 165 | 33 | 0 | 0 | 33 | 36 |
N.S. |
1 | 0.00 | 0.99 | 0.60 | 0.12 | 0.00 | 0.00 | 0.12 | 0.13 |
time (sec) |
N/A | 0.000 | 0.178 | 0.260 | 0.334 | 0.000 | 0.000 | 0.418 | 7.234 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-1) | F(-1) | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 275 | 0 | 273 | 165 | 33 | 0 | 0 | 33 | 36 |
N.S. |
1 | 0.00 | 0.99 | 0.60 | 0.12 | 0.00 | 0.00 | 0.12 | 0.13 |
time (sec) |
N/A | 0.000 | 0.001 | 0.087 | 0.329 | 0.000 | 0.000 | 0.408 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | C | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 276 | 548 | 275 | 274 | 0 | 1152 | 0 | 704 | 0 |
N.S. |
1 | 1.99 | 1.00 | 0.99 | 0.00 | 4.17 | 0.00 | 2.55 | 0.00 |
time (sec) |
N/A | 1.380 | 1.757 | 0.757 | 0.000 | 0.391 | 0.000 | 0.384 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | A | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 276 | 0 | 277 | 0 | 0 | 351 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.00 | 0.00 | 1.27 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.638 | 0.000 | 0.000 | 0.431 | 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(-1) | A | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 276 | 0 | 194 | 127 | 0 | 0 | 0 | 123 | 0 |
N.S. |
1 | 0.00 | 0.70 | 0.46 | 0.00 | 0.00 | 0.00 | 0.45 | 0.00 |
time (sec) |
N/A | 0.000 | 12.430 | 0.565 | 0.000 | 0.000 | 0.000 | 0.406 | 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 | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 276 | 147 | 259 | 0 | 0 | 134 | 0 | 0 | 0 |
N.S. |
1 | 0.53 | 0.94 | 0.00 | 0.00 | 0.49 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.331 | 0.672 | 0.000 | 0.000 | 0.267 | 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 | No | TBD | TBD | TBD | TBD | TBD |
size | 278 | 259 | 194 | 1546 | 0 | 236 | 0 | 0 | 0 |
N.S. |
1 | 0.93 | 0.70 | 5.56 | 0.00 | 0.85 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.867 | 0.321 | 1.645 | 0.000 | 0.255 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 278 | 381 | 302 | 240 | 0 | 959 | 0 | 210 | 0 |
N.S. |
1 | 1.37 | 1.09 | 0.86 | 0.00 | 3.45 | 0.00 | 0.76 | 0.00 |
time (sec) |
N/A | 1.395 | 1.356 | 0.756 | 0.000 | 0.277 | 0.000 | 10.683 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 278 | 278 | 262 | 0 | 0 | 781 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.94 | 0.00 | 0.00 | 2.81 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.067 | 0.793 | 0.000 | 0.000 | 0.286 | 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 | F(-1) | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 279 | 986 | 302 | 179 | 32 | 4415 | 22 | 0 | 32 |
N.S. |
1 | 3.53 | 1.08 | 0.64 | 0.11 | 15.82 | 0.08 | 0.00 | 0.11 |
time (sec) |
N/A | 2.994 | 0.629 | 0.465 | 0.231 | 2.244 | 2.112 | 0.000 | 6.864 |
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 | 279 | 986 | 302 | 179 | 32 | 4415 | 22 | 0 | 32 |
N.S. |
1 | 3.53 | 1.08 | 0.64 | 0.11 | 15.82 | 0.08 | 0.00 | 0.11 |
time (sec) |
N/A | 2.498 | 0.003 | 0.372 | 0.269 | 2.281 | 2.117 | 0.000 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 279 | 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 | F | F | F | F(-1) | F | F(-1) | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 279 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 282 | 221 | 204 | 0 | 0 | 167 | 0 | 0 | 0 |
N.S. |
1 | 0.78 | 0.72 | 0.00 | 0.00 | 0.59 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.467 | 0.299 | 0.000 | 0.000 | 0.322 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F(-1) | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 282 | 0 | 228 | 0 | 35 | 0 | 126 | 82 | 83 |
N.S. |
1 | 0.00 | 0.81 | 0.00 | 0.12 | 0.00 | 0.45 | 0.29 | 0.29 |
time (sec) |
N/A | 0.000 | 0.220 | 0.000 | 0.303 | 0.000 | 2.315 | 0.411 | 7.264 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | B | F | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 285 | 0 | 0 | 0 | 0 | 932 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 3.27 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 0.000 | 0.000 | 53.697 | 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 | 285 | 0 | 317 | 200 | 30 | 766 | 27 | 30 | 30 |
N.S. |
1 | 0.00 | 1.11 | 0.70 | 0.11 | 2.69 | 0.09 | 0.11 | 0.11 |
time (sec) |
N/A | 0.000 | 0.325 | 110.889 | 0.234 | 5.567 | 13.772 | 1.835 | 7.076 |
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 | 285 | 0 | 317 | 200 | 30 | 766 | 27 | 30 | 30 |
N.S. |
1 | 0.00 | 1.11 | 0.70 | 0.11 | 2.69 | 0.09 | 0.11 | 0.11 |
time (sec) |
N/A | 0.000 | 0.003 | 114.626 | 0.220 | 5.597 | 13.767 | 1.848 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | N/A | N/A | F(-1) | N/A | F(-1) | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 286 | 164 | 166 | 529 | 30 | 0 | 26 | 0 | 30 |
N.S. |
1 | 0.57 | 0.58 | 1.85 | 0.10 | 0.00 | 0.09 | 0.00 | 0.10 |
time (sec) |
N/A | 0.797 | 0.155 | 0.363 | 0.286 | 0.000 | 0.711 | 0.000 | 7.030 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | A | F | F(-2) | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 286 | 0 | 242 | 0 | 0 | 359 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.85 | 0.00 | 0.00 | 1.26 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.583 | 0.000 | 0.000 | 0.328 | 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 | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 287 | 0 | 259 | 0 | 0 | 284 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.90 | 0.00 | 0.00 | 0.99 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.832 | 0.000 | 0.000 | 1.455 | 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(-2) | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 287 | 0 | 210 | 50 | 52 | 1089073 | 54 | 0 | 52 |
N.S. |
1 | 0.00 | 0.73 | 0.17 | 0.18 | 3794.68 | 0.19 | 0.00 | 0.18 |
time (sec) |
N/A | 0.000 | 0.893 | 0.014 | 1.418 | 35.338 | 1.305 | 0.000 | 7.463 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | C | N/A | F(-2) | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 287 | 0 | 210 | 50 | 52 | 1089073 | 54 | 0 | 52 |
N.S. |
1 | 0.00 | 0.73 | 0.17 | 0.18 | 3794.68 | 0.19 | 0.00 | 0.18 |
time (sec) |
N/A | 0.000 | 0.002 | 0.000 | 1.406 | 35.815 | 1.314 | 0.000 | 0.002 |
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 | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 288 | 221 | 333 | 259 | 0 | 0 | 0 | 256 | 0 |
N.S. |
1 | 0.77 | 1.16 | 0.90 | 0.00 | 0.00 | 0.00 | 0.89 | 0.00 |
time (sec) |
N/A | 0.348 | 8.317 | 0.750 | 0.000 | 0.000 | 0.000 | 0.328 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 288 | 0 | 333 | 388 | 0 | 456 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.16 | 1.35 | 0.00 | 1.58 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.949 | 35.544 | 0.000 | 1.746 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | N/A | N/A | C | F(-1) | C | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 288 | 197 | 284 | 244 | 36 | 295 | 0 | 178 | 36 |
N.S. |
1 | 0.68 | 0.99 | 0.85 | 0.12 | 1.02 | 0.00 | 0.62 | 0.12 |
time (sec) |
N/A | 0.927 | 0.282 | 7.011 | 0.318 | 0.271 | 0.000 | 0.336 | 7.405 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 288 | 0 | 302 | 0 | 0 | 566 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.05 | 0.00 | 0.00 | 1.97 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 5.370 | 0.000 | 0.000 | 0.316 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 289 | 0 | 225 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 11.925 | 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(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 289 | 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 | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 289 | 197 | 272 | 258 | 0 | 534 | 0 | 0 | 0 |
N.S. |
1 | 0.68 | 0.94 | 0.89 | 0.00 | 1.85 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.545 | 0.620 | 4.470 | 0.000 | 3.661 | 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(-1) | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 289 | 0 | 271 | 320 | 0 | 367 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.94 | 1.11 | 0.00 | 1.27 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.141 | 0.156 | 0.000 | 0.387 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 290 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | F(-1) | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 290 | 190 | 273 | 0 | 250 | 0 | 83 | 0 | 0 |
N.S. |
1 | 0.66 | 0.94 | 0.00 | 0.86 | 0.00 | 0.29 | 0.00 | 0.00 |
time (sec) |
N/A | 0.393 | 5.276 | 0.000 | 0.298 | 0.000 | 1.612 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 291 | 0 | 202 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.69 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 15.530 | 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 | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 291 | 0 | 200 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.69 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 10.969 | 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 | A | F | F | A | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 291 | 0 | 197 | 0 | 0 | 798 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.68 | 0.00 | 0.00 | 2.74 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.484 | 0.000 | 0.000 | 0.520 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 291 | 230 | 303 | 208 | 0 | 409 | 0 | 505 | 0 |
N.S. |
1 | 0.79 | 1.04 | 0.71 | 0.00 | 1.41 | 0.00 | 1.74 | 0.00 |
time (sec) |
N/A | 0.421 | 1.038 | 0.523 | 0.000 | 0.281 | 0.000 | 0.318 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | F(-1) | F(-1) | A | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 291 | 0 | 212 | 152 | 0 | 0 | 0 | 317 | 0 |
N.S. |
1 | 0.00 | 0.73 | 0.52 | 0.00 | 0.00 | 0.00 | 1.09 | 0.00 |
time (sec) |
N/A | 0.000 | 8.711 | 0.541 | 0.000 | 0.000 | 0.000 | 0.734 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | A | F | C | F | F | F(-1) |
verified |
N/A | N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 291 | 0 | 0 | 399 | 0 | 1113 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 1.37 | 0.00 | 3.82 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 23.409 | 0.000 | 37.148 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | C | F(-2) | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 293 | 1022 | 244 | 1907 | 0 | 491 | 0 | 0 | 0 |
N.S. |
1 | 3.49 | 0.83 | 6.51 | 0.00 | 1.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.557 | 28.013 | 0.705 | 0.000 | 0.662 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | C | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 293 | 414 | 249 | 87 | 0 | 342 | 0 | 0 | 0 |
N.S. |
1 | 1.41 | 0.85 | 0.30 | 0.00 | 1.17 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.634 | 0.941 | 7.123 | 0.000 | 0.296 | 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 | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 293 | 0 | 186 | 0 | 0 | 359 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.63 | 0.00 | 0.00 | 1.23 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.549 | 0.000 | 0.000 | 0.340 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F(-1) | A | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 294 | 0 | 395 | 240 | 0 | 346 | 0 | 209 | 0 |
N.S. |
1 | 0.00 | 1.34 | 0.82 | 0.00 | 1.18 | 0.00 | 0.71 | 0.00 |
time (sec) |
N/A | 0.000 | 1.194 | 0.928 | 0.000 | 0.281 | 0.000 | 0.354 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | F(-1) | F | F(-2) | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 294 | 0 | 275 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.94 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 4.700 | 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(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 296 | 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 | A | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 297 | 0 | 208 | 135 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.70 | 0.45 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 10.847 | 0.542 | 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 | C | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 297 | 0 | 318 | 399 | 0 | 1113 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.07 | 1.34 | 0.00 | 3.75 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.332 | 20.698 | 0.000 | 35.506 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 297 | 455 | 373 | 474 | 0 | 871 | 0 | 0 | 0 |
N.S. |
1 | 1.53 | 1.26 | 1.60 | 0.00 | 2.93 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.408 | 15.342 | 7.365 | 0.000 | 2.124 | 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 | 299 | 1051 | 332 | 206 | 30 | 554 | 22 | 30 | 30 |
N.S. |
1 | 3.52 | 1.11 | 0.69 | 0.10 | 1.85 | 0.07 | 0.10 | 0.10 |
time (sec) |
N/A | 1.772 | 0.412 | 0.677 | 0.248 | 0.280 | 0.593 | 0.479 | 6.806 |
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 | 299 | 1051 | 332 | 206 | 30 | 554 | 22 | 30 | 30 |
N.S. |
1 | 3.52 | 1.11 | 0.69 | 0.10 | 1.85 | 0.07 | 0.10 | 0.10 |
time (sec) |
N/A | 1.581 | 0.001 | 0.253 | 0.206 | 0.278 | 0.561 | 0.456 | 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 | 299 | 397 | 151 | 258 | 0 | 215 | 0 | 0 | 0 |
N.S. |
1 | 1.33 | 0.51 | 0.86 | 0.00 | 0.72 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.079 | 1.160 | 5.016 | 0.000 | 1.100 | 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 | 300 | 975 | 332 | 207 | 32 | 542 | 22 | 32 | 33 |
N.S. |
1 | 3.25 | 1.11 | 0.69 | 0.11 | 1.81 | 0.07 | 0.11 | 0.11 |
time (sec) |
N/A | 1.757 | 0.408 | 0.335 | 0.206 | 0.283 | 0.559 | 0.481 | 7.184 |
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 | 300 | 975 | 332 | 207 | 32 | 542 | 22 | 32 | 33 |
N.S. |
1 | 3.25 | 1.11 | 0.69 | 0.11 | 1.81 | 0.07 | 0.11 | 0.11 |
time (sec) |
N/A | 1.590 | 0.003 | 0.238 | 0.210 | 0.298 | 0.586 | 0.481 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 301 | 169 | 172 | 0 | 0 | 290 | 0 | 0 | 0 |
N.S. |
1 | 0.56 | 0.57 | 0.00 | 0.00 | 0.96 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.660 | 0.211 | 0.000 | 0.000 | 0.287 | 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 | 301 | 391 | 285 | 0 | 0 | 252 | 0 | 0 | 0 |
N.S. |
1 | 1.30 | 0.95 | 0.00 | 0.00 | 0.84 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.381 | 0.580 | 0.000 | 0.000 | 0.296 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 303 | 522 | 594 | 492 | 0 | 917 | 0 | 0 | 0 |
N.S. |
1 | 1.72 | 1.96 | 1.62 | 0.00 | 3.03 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.481 | 2.550 | 5.380 | 0.000 | 39.319 | 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 | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 304 | 224 | 335 | 244 | 0 | 0 | 0 | 272 | 0 |
N.S. |
1 | 0.74 | 1.10 | 0.80 | 0.00 | 0.00 | 0.00 | 0.89 | 0.00 |
time (sec) |
N/A | 0.361 | 8.339 | 1.004 | 0.000 | 0.000 | 0.000 | 0.323 | 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 | 304 | 343 | 280 | 0 | 0 | 383 | 0 | 0 | 0 |
N.S. |
1 | 1.13 | 0.92 | 0.00 | 0.00 | 1.26 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.971 | 0.528 | 0.000 | 0.000 | 0.280 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 305 | 335 | 258 | 0 | 0 | 331 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 0.85 | 0.00 | 0.00 | 1.09 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.229 | 0.313 | 0.000 | 0.000 | 0.277 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 305 | 335 | 267 | 0 | 0 | 331 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 0.88 | 0.00 | 0.00 | 1.09 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.018 | 0.801 | 0.000 | 0.000 | 0.265 | 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) | F(-1) | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 305 | 0 | 305 | 172 | 30 | 0 | 0 | 30 | 33 |
N.S. |
1 | 0.00 | 1.00 | 0.56 | 0.10 | 0.00 | 0.00 | 0.10 | 0.11 |
time (sec) |
N/A | 0.000 | 0.323 | 0.076 | 0.313 | 0.000 | 0.000 | 2.371 | 7.186 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-1) | F(-1) | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 305 | 0 | 305 | 172 | 30 | 0 | 0 | 30 | 33 |
N.S. |
1 | 0.00 | 1.00 | 0.56 | 0.10 | 0.00 | 0.00 | 0.10 | 0.11 |
time (sec) |
N/A | 0.000 | 0.001 | 0.060 | 0.285 | 0.000 | 0.000 | 2.428 | 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 | 306 | 0 | 217 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.71 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 15.550 | 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 | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 306 | 0 | 214 | 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 | 10.952 | 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 | A | F(-1) | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 306 | 231 | 290 | 0 | 301 | 0 | 82 | 0 | 0 |
N.S. |
1 | 0.75 | 0.95 | 0.00 | 0.98 | 0.00 | 0.27 | 0.00 | 0.00 |
time (sec) |
N/A | 0.516 | 5.543 | 0.000 | 0.260 | 0.000 | 2.705 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 306 | 214 | 265 | 216 | 0 | 1106 | 0 | 210 | 0 |
N.S. |
1 | 0.70 | 0.87 | 0.71 | 0.00 | 3.61 | 0.00 | 0.69 | 0.00 |
time (sec) |
N/A | 0.662 | 0.521 | 0.129 | 0.000 | 0.306 | 0.000 | 0.293 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | C | F | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 308 | 266 | 175 | 3732 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.86 | 0.57 | 12.12 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.121 | 0.070 | 10.525 | 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 | C | N/A | F(-1) | N/A |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 310 | 4995 | 268 | 212 | 42 | 66601 | 32 | 0 | 40 |
N.S. |
1 | 16.11 | 0.86 | 0.68 | 0.14 | 214.84 | 0.10 | 0.00 | 0.13 |
time (sec) |
N/A | 12.063 | 10.438 | 1.147 | 0.216 | 5.499 | 21.769 | 0.000 | 7.377 |
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 | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 310 | 4995 | 268 | 212 | 42 | 66601 | 32 | 0 | 40 |
N.S. |
1 | 16.11 | 0.86 | 0.68 | 0.14 | 214.84 | 0.10 | 0.00 | 0.13 |
time (sec) |
N/A | 11.134 | 0.002 | 0.408 | 0.251 | 5.521 | 21.769 | 0.000 | 0.003 |
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 | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 310 | 4968 | 268 | 212 | 39 | 66610 | 32 | 0 | 39 |
N.S. |
1 | 16.03 | 0.86 | 0.68 | 0.13 | 214.87 | 0.10 | 0.00 | 0.13 |
time (sec) |
N/A | 10.958 | 10.418 | 0.536 | 0.222 | 5.385 | 23.380 | 0.000 | 7.272 |
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 | 310 | 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 | 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 | 311 | 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 | A | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 311 | 0 | 222 | 144 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.71 | 0.46 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 12.687 | 0.723 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 311 | 1265 | 237 | 428 | 0 | 1317 | 0 | 0 | 0 |
N.S. |
1 | 4.07 | 0.76 | 1.38 | 0.00 | 4.23 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 6.617 | 0.990 | 2.496 | 0.000 | 0.454 | 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 | 311 | 0 | 296 | 0 | 0 | 529 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.95 | 0.00 | 0.00 | 1.70 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.183 | 0.000 | 0.000 | 3.204 | 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 | 311 | 0 | 311 | 31 | 34 | 0 | 31 | 33 | 34 |
N.S. |
1 | 0.00 | 1.00 | 0.10 | 0.11 | 0.00 | 0.10 | 0.11 | 0.11 |
time (sec) |
N/A | 0.000 | 1.492 | 0.087 | 0.366 | 0.000 | 3.190 | 0.897 | 7.318 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | F | F | B | F | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 312 | 151 | 272 | 0 | 0 | 502 | 0 | 0 | 0 |
N.S. |
1 | 0.48 | 0.87 | 0.00 | 0.00 | 1.61 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.338 | 2.415 | 0.000 | 0.000 | 1.225 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 313 | 0 | 217 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.69 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 15.301 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 313 | 135 | 245 | 226 | 0 | 162 | 0 | 0 | 0 |
N.S. |
1 | 0.43 | 0.78 | 0.72 | 0.00 | 0.52 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.946 | 0.986 | 4.998 | 0.000 | 0.500 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 313 | 365 | 195 | 1206 | 0 | 450 | 0 | 367 | 0 |
N.S. |
1 | 1.17 | 0.62 | 3.85 | 0.00 | 1.44 | 0.00 | 1.17 | 0.00 |
time (sec) |
N/A | 0.731 | 6.481 | 0.273 | 0.000 | 0.265 | 0.000 | 1.452 | 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 | 315 | 260 | 329 | 288 | 0 | 0 | 0 | 284 | 0 |
N.S. |
1 | 0.83 | 1.04 | 0.91 | 0.00 | 0.00 | 0.00 | 0.90 | 0.00 |
time (sec) |
N/A | 0.561 | 10.365 | 0.971 | 0.000 | 0.000 | 0.000 | 0.352 | 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 | 315 | 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 | C | N/A | F(-1) | N/A |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 316 | 4968 | 268 | 212 | 39 | 66610 | 32 | 0 | 39 |
N.S. |
1 | 15.72 | 0.85 | 0.67 | 0.12 | 210.79 | 0.10 | 0.00 | 0.12 |
time (sec) |
N/A | 11.364 | 0.190 | 0.401 | 0.226 | 5.359 | 21.124 | 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 | N/A | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 316 | 0 | 176 | 216 | 29 | 4787 | 27 | 29 | 0 |
N.S. |
1 | 0.00 | 0.56 | 0.68 | 0.09 | 15.15 | 0.09 | 0.09 | 0.00 |
time (sec) |
N/A | 0.000 | 1.531 | 0.124 | 0.202 | 0.926 | 1.888 | 0.576 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-1) | F(-1) | C | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 316 | 0 | 247 | 313 | 30 | 0 | 0 | 5825 | 30 |
N.S. |
1 | 0.00 | 0.78 | 0.99 | 0.09 | 0.00 | 0.00 | 18.43 | 0.09 |
time (sec) |
N/A | 0.000 | 0.505 | 0.583 | 1.284 | 0.000 | 0.000 | 34.166 | 8.869 |
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 | 316 | 0 | 251 | 0 | 0 | 159 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.79 | 0.00 | 0.00 | 0.50 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.669 | 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 | F | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 317 | 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 | A | F | F(-1) | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 318 | 0 | 349 | 255 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.10 | 0.80 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.164 | 75.369 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 319 | 213 | 329 | 185 | 0 | 549 | 0 | 207 | 0 |
N.S. |
1 | 0.67 | 1.03 | 0.58 | 0.00 | 1.72 | 0.00 | 0.65 | 0.00 |
time (sec) |
N/A | 0.309 | 1.446 | 0.748 | 0.000 | 0.265 | 0.000 | 19.942 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | C | F | F | A | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 319 | 0 | 893 | 0 | 0 | 337 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 2.80 | 0.00 | 0.00 | 1.06 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 33.719 | 0.000 | 0.000 | 0.503 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 319 | 131 | 241 | 238 | 0 | 166 | 0 | 0 | 0 |
N.S. |
1 | 0.41 | 0.76 | 0.75 | 0.00 | 0.52 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.270 | 0.833 | 5.005 | 0.000 | 0.711 | 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 | 319 | 0 | 266 | 0 | 0 | 770 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.83 | 0.00 | 0.00 | 2.41 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.977 | 0.000 | 0.000 | 0.397 | 0.000 | 0.000 | 0.000 |