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 | B | A | N/A | N/A | F(-2) | N/A | C | N/A |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 163 | 1643 | 199 | 140 | 84 | 0 | 32 | 941 | 17 |
N.S. |
1 | 10.08 | 1.22 | 0.86 | 0.52 | 0.00 | 0.20 | 5.77 | 0.10 |
time (sec) |
N/A | 2.618 | 1.732 | 58.230 | 0.309 | 0.000 | 0.780 | 0.366 | 5.672 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-2) | N/A | C | N/A |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 163 | 1643 | 199 | 140 | 84 | 0 | 32 | 941 | 17 |
N.S. |
1 | 10.08 | 1.22 | 0.86 | 0.52 | 0.00 | 0.20 | 5.77 | 0.10 |
time (sec) |
N/A | 2.391 | 0.002 | 57.868 | 0.331 | 0.000 | 0.789 | 0.382 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | F | B | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 163 | 480 | 162 | 152 | 0 | 272 | 0 | 0 | 0 |
N.S. |
1 | 2.94 | 0.99 | 0.93 | 0.00 | 1.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.897 | 0.375 | 7.348 | 0.000 | 0.254 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | C | F | A | F | F | F(-1) |
verified |
N/A | N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 163 | 0 | 0 | 516 | 0 | 119 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 3.17 | 0.00 | 0.73 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 13.806 | 0.000 | 1.972 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | F | N/A | N/A | F(-1) | F(-1) | N/A | N/A |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 163 | 1017 | 0 | 176 | 41 | 0 | 0 | 3 | 41 |
N.S. |
1 | 6.24 | 0.00 | 1.08 | 0.25 | 0.00 | 0.00 | 0.02 | 0.25 |
time (sec) |
N/A | 3.062 | 0.000 | 0.744 | 0.242 | 0.000 | 0.000 | 20.011 | 6.408 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | F | N/A | N/A | F(-1) | F(-1) | N/A | N/A |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 163 | 1017 | 0 | 176 | 41 | 0 | 0 | 3 | 41 |
N.S. |
1 | 6.24 | 0.00 | 1.08 | 0.25 | 0.00 | 0.00 | 0.02 | 0.25 |
time (sec) |
N/A | 2.446 | 0.000 | 0.550 | 0.241 | 0.000 | 0.000 | 19.827 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 163 | 0 | 113 | 112 | 0 | 627 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.69 | 0.69 | 0.00 | 3.85 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.746 | 10.343 | 0.000 | 0.397 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 163 | 163 | 163 | 0 | 0 | 301 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 1.85 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.617 | 0.211 | 0.000 | 0.000 | 0.262 | 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 | 163 | 0 | 104 | 0 | 0 | 168 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.64 | 0.00 | 0.00 | 1.03 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 7.527 | 0.000 | 0.000 | 8.711 | 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(-2) | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 163 | 0 | 160 | 0 | 0 | 168 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.98 | 0.00 | 0.00 | 1.03 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 7.529 | 0.000 | 0.000 | 11.698 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 164 | 0 | 141 | 174 | 0 | 424 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.86 | 1.06 | 0.00 | 2.59 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.486 | 15.886 | 0.000 | 6.585 | 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 | 164 | 137 | 164 | 152 | 0 | 253 | 0 | 0 | 0 |
N.S. |
1 | 0.84 | 1.00 | 0.93 | 0.00 | 1.54 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.288 | 0.402 | 15.347 | 0.000 | 1.704 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | C | N/A | N/A | F(-2) | N/A | N/A | N/A |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 164 | 3465 | 192 | 148 | 26 | 0 | 24 | 3 | 26 |
N.S. |
1 | 21.13 | 1.17 | 0.90 | 0.16 | 0.00 | 0.15 | 0.02 | 0.16 |
time (sec) |
N/A | 5.985 | 16.523 | 0.596 | 0.291 | 0.000 | 25.631 | 3.033 | 6.663 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | C | N/A | N/A | F(-2) | N/A | N/A | N/A |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 164 | 3465 | 192 | 148 | 26 | 0 | 24 | 3 | 26 |
N.S. |
1 | 21.13 | 1.17 | 0.90 | 0.16 | 0.00 | 0.15 | 0.02 | 0.16 |
time (sec) |
N/A | 5.393 | 0.029 | 0.242 | 0.321 | 0.000 | 24.340 | 3.064 | 0.003 |
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 | 165 | 84 | 155 | 2074 | 0 | 165 | 0 | 0 | 0 |
N.S. |
1 | 0.51 | 0.94 | 12.57 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.184 | 0.178 | 10.656 | 0.000 | 1.409 | 0.000 | 0.000 | 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 | 165 | 0 | 165 | 151 | 0 | 406 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.92 | 0.00 | 2.46 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.435 | 15.721 | 0.000 | 8.293 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 165 | 1427 | 187 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 8.65 | 1.13 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 5.297 | 3.288 | 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 | 165 | 0 | 184 | 201 | 28 | 0 | 26 | 28 | 28 |
N.S. |
1 | 0.00 | 1.12 | 1.22 | 0.17 | 0.00 | 0.16 | 0.17 | 0.17 |
time (sec) |
N/A | 0.000 | 1.113 | 0.549 | 0.217 | 0.000 | 44.891 | 0.871 | 6.592 |
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 | 165 | 0 | 184 | 201 | 28 | 0 | 26 | 28 | 28 |
N.S. |
1 | 0.00 | 1.12 | 1.22 | 0.17 | 0.00 | 0.16 | 0.17 | 0.17 |
time (sec) |
N/A | 0.000 | 0.001 | 0.480 | 0.241 | 0.000 | 46.352 | 0.880 | 0.002 |
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 | 165 | 0 | 184 | 201 | 28 | 0 | 26 | 28 | 28 |
N.S. |
1 | 0.00 | 1.12 | 1.22 | 0.17 | 0.00 | 0.16 | 0.17 | 0.17 |
time (sec) |
N/A | 0.000 | 0.002 | 0.487 | 0.208 | 0.000 | 44.721 | 0.913 | 0.002 |
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 | 165 | 261 | 158 | 198 | 0 | 488 | 0 | 0 | 0 |
N.S. |
1 | 1.58 | 0.96 | 1.20 | 0.00 | 2.96 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.479 | 0.522 | 1.368 | 0.000 | 40.356 | 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(-2) | F(-1) | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 165 | 0 | 142 | 129 | 26 | 0 | 0 | 26 | 26 |
N.S. |
1 | 0.00 | 0.86 | 0.78 | 0.16 | 0.00 | 0.00 | 0.16 | 0.16 |
time (sec) |
N/A | 0.000 | 0.169 | 0.104 | 0.281 | 0.000 | 0.000 | 0.488 | 6.461 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 165 | 0 | 142 | 129 | 26 | 0 | 26 | 26 | 26 |
N.S. |
1 | 0.00 | 0.86 | 0.78 | 0.16 | 0.00 | 0.16 | 0.16 | 0.16 |
time (sec) |
N/A | 0.000 | 0.001 | 0.112 | 0.303 | 0.000 | 178.180 | 0.491 | 0.002 |
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 | 166 | 312 | 166 | 0 | 0 | 253 | 0 | 0 | 0 |
N.S. |
1 | 1.88 | 1.00 | 0.00 | 0.00 | 1.52 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.097 | 0.290 | 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 | A | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 166 | 0 | 132 | 137 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.80 | 0.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 15.582 | 1.069 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | A | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 166 | 254 | 160 | 207 | 247 | 222 | 44 | 223 | 95 |
N.S. |
1 | 1.53 | 0.96 | 1.25 | 1.49 | 1.34 | 0.27 | 1.34 | 0.57 |
time (sec) |
N/A | 0.400 | 0.371 | 0.344 | 0.273 | 0.257 | 1.461 | 0.273 | 6.516 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 166 | 198 | 188 | 182 | 0 | 0 | 0 | 394 | 0 |
N.S. |
1 | 1.19 | 1.13 | 1.10 | 0.00 | 0.00 | 0.00 | 2.37 | 0.00 |
time (sec) |
N/A | 0.585 | 0.645 | 0.453 | 0.000 | 0.000 | 0.000 | 0.308 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 166 | 538 | 181 | 230 | 0 | 645 | 0 | 0 | 202 |
N.S. |
1 | 3.24 | 1.09 | 1.39 | 0.00 | 3.89 | 0.00 | 0.00 | 1.22 |
time (sec) |
N/A | 1.338 | 0.791 | 1.913 | 0.000 | 0.323 | 0.000 | 0.000 | 13.712 |
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 | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 166 | 1127 | 166 | 121 | 22 | 556 | 42 | 22 | 22 |
N.S. |
1 | 6.79 | 1.00 | 0.73 | 0.13 | 3.35 | 0.25 | 0.13 | 0.13 |
time (sec) |
N/A | 1.943 | 1.570 | 4.845 | 0.305 | 0.359 | 24.025 | 0.304 | 6.517 |
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 | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 166 | 1127 | 166 | 121 | 22 | 556 | 42 | 22 | 22 |
N.S. |
1 | 6.79 | 1.00 | 0.73 | 0.13 | 3.35 | 0.25 | 0.13 | 0.13 |
time (sec) |
N/A | 1.664 | 0.001 | 4.178 | 0.310 | 0.356 | 24.207 | 0.292 | 0.003 |
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 | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 166 | 1127 | 166 | 123 | 22 | 542 | 42 | 22 | 22 |
N.S. |
1 | 6.79 | 1.00 | 0.74 | 0.13 | 3.27 | 0.25 | 0.13 | 0.13 |
time (sec) |
N/A | 1.702 | 1.618 | 4.802 | 0.320 | 0.349 | 25.166 | 0.299 | 6.708 |
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 | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 166 | 1127 | 166 | 123 | 22 | 542 | 42 | 22 | 22 |
N.S. |
1 | 6.79 | 1.00 | 0.74 | 0.13 | 3.27 | 0.25 | 0.13 | 0.13 |
time (sec) |
N/A | 1.620 | 0.001 | 4.280 | 0.298 | 0.356 | 24.941 | 0.296 | 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 | 166 | 1192 | 77 | 78 | 0 | 101 | 0 | 0 | 0 |
N.S. |
1 | 7.18 | 0.46 | 0.47 | 0.00 | 0.61 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 6.102 | 1.190 | 2.947 | 0.000 | 0.318 | 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 | 167 | 0 | 130 | 137 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.78 | 0.82 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 15.361 | 0.564 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | A | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 167 | 260 | 161 | 207 | 250 | 236 | 42 | 224 | 98 |
N.S. |
1 | 1.56 | 0.96 | 1.24 | 1.50 | 1.41 | 0.25 | 1.34 | 0.59 |
time (sec) |
N/A | 0.398 | 0.262 | 0.267 | 0.276 | 0.259 | 1.823 | 0.266 | 6.776 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | A | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 167 | 248 | 161 | 199 | 241 | 236 | 42 | 224 | 98 |
N.S. |
1 | 1.49 | 0.96 | 1.19 | 1.44 | 1.41 | 0.25 | 1.34 | 0.59 |
time (sec) |
N/A | 0.383 | 0.232 | 0.244 | 0.271 | 0.245 | 1.792 | 0.273 | 6.601 |
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 | 167 | 42 | 183 | 201 | 0 | 232 | 0 | 0 | 0 |
N.S. |
1 | 0.25 | 1.10 | 1.20 | 0.00 | 1.39 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.249 | 0.515 | 18.945 | 0.000 | 0.566 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 167 | 0 | 167 | 152 | 0 | 418 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.91 | 0.00 | 2.50 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 2.599 | 101.716 | 0.000 | 83.491 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | A | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 167 | 260 | 161 | 207 | 250 | 236 | 41 | 224 | 98 |
N.S. |
1 | 1.56 | 0.96 | 1.24 | 1.50 | 1.41 | 0.25 | 1.34 | 0.59 |
time (sec) |
N/A | 0.396 | 0.224 | 0.296 | 0.255 | 0.245 | 2.053 | 0.269 | 6.865 |
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 | 167 | 506 | 170 | 144 | 0 | 1877 | 0 | 0 | 0 |
N.S. |
1 | 3.03 | 1.02 | 0.86 | 0.00 | 11.24 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.381 | 1.576 | 0.615 | 0.000 | 0.465 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | A | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 167 | 260 | 161 | 207 | 250 | 236 | 42 | 224 | 98 |
N.S. |
1 | 1.56 | 0.96 | 1.24 | 1.50 | 1.41 | 0.25 | 1.34 | 0.59 |
time (sec) |
N/A | 0.405 | 0.173 | 0.335 | 0.258 | 0.250 | 2.176 | 0.267 | 6.010 |
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 | 167 | 0 | 191 | 205 | 0 | 1561 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.14 | 1.23 | 0.00 | 9.35 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.793 | 61.487 | 0.000 | 4.015 | 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 | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 167 | 0 | 170 | 178 | 0 | 742 | 0 | 0 | 201 |
N.S. |
1 | 0.00 | 1.02 | 1.07 | 0.00 | 4.44 | 0.00 | 0.00 | 1.20 |
time (sec) |
N/A | 0.000 | 0.848 | 1.340 | 0.000 | 0.346 | 0.000 | 0.000 | 10.419 |
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 | 167 | 319 | 161 | 34 | 36 | 1046 | 32 | 36 | 36 |
N.S. |
1 | 1.91 | 0.96 | 0.20 | 0.22 | 6.26 | 0.19 | 0.22 | 0.22 |
time (sec) |
N/A | 1.357 | 0.206 | 0.025 | 0.285 | 0.268 | 2.779 | 1.687 | 6.116 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | C | F | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 167 | 0 | 315 | 0 | 0 | 175 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.89 | 0.00 | 0.00 | 1.05 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 8.983 | 0.000 | 0.000 | 18.129 | 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 | 167 | 264 | 127 | 175 | 0 | 639 | 0 | 0 | 0 |
N.S. |
1 | 1.58 | 0.76 | 1.05 | 0.00 | 3.83 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.680 | 1.135 | 1.862 | 0.000 | 0.645 | 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 | 167 | 0 | 167 | 0 | 0 | 105 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.00 | 0.00 | 0.63 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.480 | 0.000 | 0.000 | 0.480 | 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(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 167 | 264 | 127 | 175 | 0 | 639 | 0 | 0 | 498 |
N.S. |
1 | 1.58 | 0.76 | 1.05 | 0.00 | 3.83 | 0.00 | 0.00 | 2.98 |
time (sec) |
N/A | 0.690 | 1.730 | 1.355 | 0.000 | 0.914 | 0.000 | 0.000 | 173.675 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 168 | 95 | 153 | 1553 | 0 | 315 | 0 | 0 | 0 |
N.S. |
1 | 0.57 | 0.91 | 9.24 | 0.00 | 1.88 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.185 | 0.211 | 7.066 | 0.000 | 3.237 | 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 | 168 | 0 | 181 | 153 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.08 | 0.91 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 41.664 | 1.898 | 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 | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 168 | 0 | 148 | 0 | 0 | 122 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.88 | 0.00 | 0.00 | 0.73 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.258 | 0.000 | 0.000 | 0.262 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 169 | 81 | 126 | 445 | 0 | 345 | 0 | 0 | 0 |
N.S. |
1 | 0.48 | 0.75 | 2.63 | 0.00 | 2.04 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.171 | 4.212 | 1.701 | 0.000 | 1.023 | 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 | 169 | 44 | 220 | 234 | 0 | 689 | 0 | 0 | 0 |
N.S. |
1 | 0.26 | 1.30 | 1.38 | 0.00 | 4.08 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.300 | 0.643 | 26.578 | 0.000 | 3.169 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F(-1) | F | C | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 170 | 0 | 159 | 0 | 0 | 543 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.94 | 0.00 | 0.00 | 3.19 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.316 | 0.000 | 0.000 | 49.946 | 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 | 170 | 0 | 148 | 0 | 0 | 164 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.87 | 0.00 | 0.00 | 0.96 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.350 | 0.000 | 0.000 | 0.979 | 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 | 170 | 0 | 149 | 133 | 33 | 0 | 0 | 33 | 33 |
N.S. |
1 | 0.00 | 0.88 | 0.78 | 0.19 | 0.00 | 0.00 | 0.19 | 0.19 |
time (sec) |
N/A | 0.000 | 0.246 | 0.175 | 0.612 | 0.000 | 0.000 | 1.017 | 6.945 |
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 | 170 | 0 | 149 | 133 | 33 | 0 | 0 | 33 | 33 |
N.S. |
1 | 0.00 | 0.88 | 0.78 | 0.19 | 0.00 | 0.00 | 0.19 | 0.19 |
time (sec) |
N/A | 0.000 | 0.001 | 0.154 | 0.595 | 0.000 | 0.000 | 1.030 | 0.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 171 | 102 | 88 | 72 | 0 | 100 | 296 | 66 | 0 |
N.S. |
1 | 0.60 | 0.51 | 0.42 | 0.00 | 0.58 | 1.73 | 0.39 | 0.00 |
time (sec) |
N/A | 0.226 | 0.115 | 0.103 | 0.000 | 0.769 | 0.994 | 0.280 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | B | F | F | F(-1) |
verified |
N/A | N/A | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 171 | 0 | 160 | 943 | 0 | 300 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.94 | 5.51 | 0.00 | 1.75 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.199 | 7.749 | 0.000 | 4.347 | 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 | 171 | 0 | 130 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.76 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 13.973 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | C | F | B | F | F | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 171 | 559 | 155 | 1176 | 0 | 316 | 0 | 0 | 0 |
N.S. |
1 | 3.27 | 0.91 | 6.88 | 0.00 | 1.85 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.387 | 1.269 | 7.395 | 0.000 | 5.537 | 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 | 171 | 0 | 189 | 206 | 30 | 0 | 26 | 30 | 29 |
N.S. |
1 | 0.00 | 1.11 | 1.20 | 0.18 | 0.00 | 0.15 | 0.18 | 0.17 |
time (sec) |
N/A | 0.000 | 1.161 | 0.536 | 0.229 | 0.000 | 45.270 | 0.898 | 6.380 |
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 | 171 | 0 | 189 | 206 | 30 | 0 | 26 | 30 | 29 |
N.S. |
1 | 0.00 | 1.11 | 1.20 | 0.18 | 0.00 | 0.15 | 0.18 | 0.17 |
time (sec) |
N/A | 0.000 | 0.001 | 0.477 | 0.228 | 0.000 | 46.964 | 0.933 | 0.002 |
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 | 171 | 0 | 189 | 206 | 30 | 0 | 26 | 30 | 29 |
N.S. |
1 | 0.00 | 1.11 | 1.20 | 0.18 | 0.00 | 0.15 | 0.18 | 0.17 |
time (sec) |
N/A | 0.000 | 0.001 | 0.488 | 0.239 | 0.000 | 48.277 | 0.932 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 171 | 848 | 143 | 163 | 0 | 396 | 0 | 0 | 0 |
N.S. |
1 | 4.96 | 0.84 | 0.95 | 0.00 | 2.32 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.298 | 0.630 | 6.352 | 0.000 | 0.381 | 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 | 171 | 0 | 171 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.329 | 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 | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 171 | 0 | 171 | 0 | 0 | 437 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.00 | 0.00 | 2.56 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.559 | 0.000 | 0.000 | 0.960 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 172 | 312 | 164 | 0 | 0 | 1213 | 0 | 0 | 0 |
N.S. |
1 | 1.81 | 0.95 | 0.00 | 0.00 | 7.05 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.305 | 1.095 | 0.000 | 0.000 | 114.417 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 172 | 97 | 148 | 1142 | 0 | 301 | 0 | 0 | 0 |
N.S. |
1 | 0.56 | 0.86 | 6.64 | 0.00 | 1.75 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.214 | 1.026 | 6.833 | 0.000 | 1.940 | 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 | 173 | 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 | 173 | 0 | 136 | 119 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.79 | 0.69 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 15.375 | 1.040 | 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 | 173 | 140 | 167 | 152 | 0 | 289 | 0 | 0 | 0 |
N.S. |
1 | 0.81 | 0.97 | 0.88 | 0.00 | 1.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.268 | 0.382 | 14.580 | 0.000 | 2.032 | 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 | 173 | 0 | 164 | 134 | 0 | 213 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.95 | 0.77 | 0.00 | 1.23 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.614 | 1.355 | 0.000 | 0.309 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | N/A | N/A | C | N/A | C | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 173 | 374 | 193 | 172 | 22 | 409 | 26 | 257 | 22 |
N.S. |
1 | 2.16 | 1.12 | 0.99 | 0.13 | 2.36 | 0.15 | 1.49 | 0.13 |
time (sec) |
N/A | 1.593 | 0.370 | 37.913 | 0.298 | 0.322 | 0.475 | 0.325 | 5.976 |
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 | 173 | 374 | 193 | 172 | 22 | 409 | 26 | 257 | 22 |
N.S. |
1 | 2.16 | 1.12 | 0.99 | 0.13 | 2.36 | 0.15 | 1.49 | 0.13 |
time (sec) |
N/A | 1.487 | 0.010 | 15.862 | 0.297 | 0.310 | 0.542 | 0.318 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-2) | N/A | C | N/A |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 173 | 1733 | 200 | 135 | 19 | 0 | 27 | 967 | 19 |
N.S. |
1 | 10.02 | 1.16 | 0.78 | 0.11 | 0.00 | 0.16 | 5.59 | 0.11 |
time (sec) |
N/A | 2.730 | 1.724 | 59.182 | 0.312 | 0.000 | 1.018 | 0.373 | 5.952 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-2) | N/A | C | N/A |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 173 | 1733 | 200 | 135 | 19 | 0 | 27 | 967 | 19 |
N.S. |
1 | 10.02 | 1.16 | 0.78 | 0.11 | 0.00 | 0.16 | 5.59 | 0.11 |
time (sec) |
N/A | 2.515 | 0.001 | 3.434 | 0.306 | 0.000 | 1.124 | 0.367 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | A | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 173 | 234 | 141 | 106 | 0 | 1083 | 0 | 207 | 0 |
N.S. |
1 | 1.35 | 0.82 | 0.61 | 0.00 | 6.26 | 0.00 | 1.20 | 0.00 |
time (sec) |
N/A | 0.451 | 0.219 | 1.342 | 0.000 | 0.612 | 0.000 | 0.375 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 173 | 0 | 160 | 197 | 0 | 468 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.92 | 1.14 | 0.00 | 2.71 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.680 | 150.031 | 0.000 | 154.251 | 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 | 173 | 0 | 128 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.74 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.243 | 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 | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 173 | 270 | 0 | 183 | 0 | 647 | 0 | 0 | 0 |
N.S. |
1 | 1.56 | 0.00 | 1.06 | 0.00 | 3.74 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.793 | 0.000 | 6.095 | 0.000 | 0.678 | 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 | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 174 | 103 | 174 | 149 | 0 | 146 | 0 | 0 | 0 |
N.S. |
1 | 0.59 | 1.00 | 0.86 | 0.00 | 0.84 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.227 | 0.338 | 14.811 | 0.000 | 0.266 | 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 | 174 | 0 | 136 | 120 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.78 | 0.69 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 15.657 | 0.493 | 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 | 174 | 0 | 140 | 145 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.80 | 0.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 15.419 | 1.190 | 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 | 174 | 130 | 162 | 172 | 0 | 214 | 0 | 0 | 0 |
N.S. |
1 | 0.75 | 0.93 | 0.99 | 0.00 | 1.23 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.263 | 0.259 | 16.856 | 0.000 | 4.194 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F(-1) | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 174 | 64 | 201 | 199 | 0 | 0 | 0 | 403 | 0 |
N.S. |
1 | 0.37 | 1.16 | 1.14 | 0.00 | 0.00 | 0.00 | 2.32 | 0.00 |
time (sec) |
N/A | 0.387 | 0.657 | 0.487 | 0.000 | 0.000 | 0.000 | 0.306 | 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 | 174 | 0 | 143 | 184 | 0 | 1497 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.82 | 1.06 | 0.00 | 8.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.171 | 1.913 | 0.000 | 1.839 | 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(-2) | N/A | N/A | N/A |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 174 | 3520 | 162 | 148 | 32 | 0 | 26 | 3 | 30 |
N.S. |
1 | 20.23 | 0.93 | 0.85 | 0.18 | 0.00 | 0.15 | 0.02 | 0.17 |
time (sec) |
N/A | 6.348 | 16.275 | 0.447 | 0.243 | 0.000 | 28.425 | 3.602 | 6.487 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-2) | N/A | N/A | N/A |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 174 | 3520 | 162 | 148 | 32 | 0 | 26 | 3 | 30 |
N.S. |
1 | 20.23 | 0.93 | 0.85 | 0.18 | 0.00 | 0.15 | 0.02 | 0.17 |
time (sec) |
N/A | 5.928 | 0.032 | 0.250 | 0.228 | 0.000 | 27.439 | 4.046 | 0.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 174 | 96 | 113 | 91 | 92 | 71 | 139 | 190 | 0 |
N.S. |
1 | 0.55 | 0.65 | 0.52 | 0.53 | 0.41 | 0.80 | 1.09 | 0.00 |
time (sec) |
N/A | 0.323 | 0.125 | 0.144 | 0.172 | 0.378 | 0.634 | 3.562 | 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 | 175 | 83 | 163 | 1553 | 0 | 156 | 0 | 0 | 0 |
N.S. |
1 | 0.47 | 0.93 | 8.87 | 0.00 | 0.89 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.172 | 0.199 | 11.439 | 0.000 | 1.124 | 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 | 175 | 0 | 138 | 145 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.79 | 0.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 15.357 | 0.541 | 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 | B | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 175 | 0 | 175 | 167 | 0 | 426 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.95 | 0.00 | 2.43 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.479 | 16.754 | 0.000 | 9.600 | 0.000 | 0.000 | 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 | 175 | 0 | 175 | 169 | 0 | 427 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.97 | 0.00 | 2.44 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.446 | 16.960 | 0.000 | 10.497 | 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 | 175 | 138 | 106 | 102 | 0 | 202 | 0 | 62 | 0 |
N.S. |
1 | 0.79 | 0.61 | 0.58 | 0.00 | 1.15 | 0.00 | 0.35 | 0.00 |
time (sec) |
N/A | 0.589 | 0.172 | 3.199 | 0.000 | 0.286 | 0.000 | 0.276 | 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 | 175 | 0 | 157 | 223 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.90 | 1.27 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.706 | 0.250 | 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 | N/A | N/A |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 175 | 529 | 193 | 13654 | 44 | 1409 | 22 | 44 | 44 |
N.S. |
1 | 3.02 | 1.10 | 78.02 | 0.25 | 8.05 | 0.13 | 0.25 | 0.25 |
time (sec) |
N/A | 0.947 | 0.143 | 54.558 | 0.198 | 0.294 | 1.012 | 0.305 | 6.461 |
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 | 175 | 192 | 171 | 0 | 0 | 483 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 0.98 | 0.00 | 0.00 | 2.76 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.086 | 0.576 | 0.000 | 0.000 | 3.134 | 0.000 | 0.000 | 0.000 |
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 | No | TBD | TBD | TBD | TBD | TBD |
size | 176 | 378 | 147 | 408 | 0 | 413 | 0 | 0 | 0 |
N.S. |
1 | 2.15 | 0.84 | 2.32 | 0.00 | 2.35 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.909 | 0.260 | 4.679 | 0.000 | 5.076 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 176 | 223 | 155 | 177 | 0 | 735 | 221 | 183 | 204 |
N.S. |
1 | 1.27 | 0.88 | 1.01 | 0.00 | 4.18 | 1.26 | 1.04 | 1.16 |
time (sec) |
N/A | 0.889 | 0.217 | 1.140 | 0.000 | 0.405 | 50.982 | 0.283 | 15.678 |