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 | A | A | F | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 125 | 125 | 143 | 0 | 0 | 256 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.14 | 0.00 | 0.00 | 2.05 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.322 | 0.274 | 0.000 | 0.000 | 0.267 | 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 | 38 | 21 | 15 | 18 | 20 |
N.S. |
1 | 1.00 | 1.12 | 1.00 | 2.38 | 1.31 | 0.94 | 1.12 | 1.25 |
time (sec) |
N/A | 0.182 | 5.382 | 0.047 | 0.312 | 0.252 | 1.179 | 0.301 | 1.978 |
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 | 77 | 77 | 92 | 0 | 0 | 184 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.19 | 0.00 | 0.00 | 2.39 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.260 | 0.223 | 0.000 | 0.000 | 0.264 | 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 | 38 | 21 | 15 | 18 | 20 |
N.S. |
1 | 1.00 | 1.12 | 1.00 | 2.38 | 1.31 | 0.94 | 1.12 | 1.25 |
time (sec) |
N/A | 0.183 | 4.694 | 0.058 | 0.300 | 0.247 | 0.708 | 0.269 | 1.987 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 26 | 23 | 22 | 33 | 39 | 28 | 42 |
N.S. |
1 | 1.00 | 1.00 | 0.88 | 0.85 | 1.27 | 1.50 | 1.08 | 1.62 |
time (sec) |
N/A | 0.189 | 0.027 | 0.306 | 0.197 | 0.255 | 0.600 | 0.275 | 0.074 |
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 | 36 | 18 | 14 | 18 | 20 |
N.S. |
1 | 1.00 | 1.12 | 1.00 | 2.25 | 1.12 | 0.88 | 1.12 | 1.25 |
time (sec) |
N/A | 0.182 | 4.548 | 0.048 | 0.306 | 0.262 | 1.951 | 0.288 | 2.111 |
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 | 38 | 18 | 15 | 18 | 20 |
N.S. |
1 | 1.00 | 1.12 | 1.00 | 2.38 | 1.12 | 0.94 | 1.12 | 1.25 |
time (sec) |
N/A | 0.184 | 4.508 | 0.048 | 0.303 | 0.245 | 0.617 | 0.329 | 2.117 |
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 | 217 | 213 | 320 | 0 | 0 | 1198 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 1.47 | 0.00 | 0.00 | 5.52 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.602 | 2.712 | 0.000 | 0.000 | 0.301 | 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 | 79 | 42 | 17 | 20 | 22 |
N.S. |
1 | 1.00 | 1.11 | 1.00 | 4.39 | 2.33 | 0.94 | 1.11 | 1.22 |
time (sec) |
N/A | 0.196 | 11.216 | 0.077 | 0.413 | 0.245 | 1.556 | 0.670 | 2.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 119 | 118 | 324 | 0 | 0 | 782 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 2.72 | 0.00 | 0.00 | 6.57 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.396 | 1.942 | 0.000 | 0.000 | 0.280 | 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 | 72 | 42 | 17 | 20 | 22 |
N.S. |
1 | 1.00 | 1.11 | 1.00 | 4.00 | 2.33 | 0.94 | 1.11 | 1.22 |
time (sec) |
N/A | 0.196 | 9.295 | 0.072 | 0.404 | 0.256 | 1.009 | 0.672 | 1.992 |
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 | 44 | 43 | 43 | 41 | 46 | 194 | 0 | 55 | 77 |
N.S. |
1 | 0.98 | 0.98 | 0.93 | 1.05 | 4.41 | 0.00 | 1.25 | 1.75 |
time (sec) |
N/A | 0.362 | 0.139 | 0.701 | 0.207 | 0.258 | 0.000 | 0.302 | 0.114 |
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 | 86 | 36 | 15 | 20 | 22 |
N.S. |
1 | 1.00 | 1.11 | 1.00 | 4.78 | 2.00 | 0.83 | 1.11 | 1.22 |
time (sec) |
N/A | 0.195 | 27.465 | 0.074 | 0.399 | 0.255 | 6.611 | 0.310 | 2.163 |
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 | 36 | 17 | 20 | 22 |
N.S. |
1 | 1.00 | 1.11 | 1.00 | 4.83 | 2.00 | 0.94 | 1.11 | 1.22 |
time (sec) |
N/A | 0.194 | 10.618 | 0.074 | 0.434 | 0.268 | 1.008 | 0.818 | 2.152 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 104 | 90 | 62 | 182 | 1918 | 0 | 146 | 395 |
N.S. |
1 | 1.16 | 1.00 | 0.69 | 2.02 | 21.31 | 0.00 | 1.62 | 4.39 |
time (sec) |
N/A | 0.503 | 0.094 | 1.377 | 0.287 | 0.263 | 0.000 | 0.277 | 0.106 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F(-2) | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 349 | 350 | 272 | 0 | 0 | 731 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.78 | 0.00 | 0.00 | 2.09 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.093 | 0.762 | 0.000 | 0.000 | 0.303 | 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 | 59 | 20 | 15 | 20 | 22 |
N.S. |
1 | 1.00 | 1.11 | 1.00 | 3.28 | 1.11 | 0.83 | 1.11 | 1.22 |
time (sec) |
N/A | 0.198 | 3.845 | 0.053 | 0.302 | 0.265 | 0.580 | 0.301 | 1.975 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F(-2) | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 241 | 235 | 187 | 0 | 0 | 536 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.78 | 0.00 | 0.00 | 2.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.762 | 0.503 | 0.000 | 0.000 | 0.259 | 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 | 59 | 20 | 15 | 20 | 22 |
N.S. |
1 | 1.00 | 1.11 | 1.00 | 3.28 | 1.11 | 0.83 | 1.11 | 1.22 |
time (sec) |
N/A | 0.196 | 3.258 | 0.051 | 0.303 | 0.239 | 0.486 | 0.282 | 1.930 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 66 | 67 | 67 | 90 | 0 | 304 | 0 | 61 | 171 |
N.S. |
1 | 1.02 | 1.02 | 1.36 | 0.00 | 4.61 | 0.00 | 0.92 | 2.59 |
time (sec) |
N/A | 0.366 | 0.267 | 0.204 | 0.000 | 0.278 | 0.000 | 0.269 | 0.204 |
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 | 58 | 19 | 15 | 20 | 22 |
N.S. |
1 | 1.00 | 1.11 | 1.00 | 3.22 | 1.06 | 0.83 | 1.11 | 1.22 |
time (sec) |
N/A | 0.193 | 2.866 | 0.052 | 0.288 | 0.250 | 1.133 | 0.312 | 2.057 |
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 | 38 | 18 | 15 | 18 | 20 |
N.S. |
1 | 1.00 | 1.12 | 1.00 | 2.38 | 1.12 | 0.94 | 1.12 | 1.25 |
time (sec) |
N/A | 0.180 | 0.086 | 0.010 | 0.296 | 0.246 | 0.703 | 0.305 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F(-2) | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 994 | 990 | 1565 | 0 | 0 | 3918 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.57 | 0.00 | 0.00 | 3.94 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.390 | 6.717 | 0.000 | 0.000 | 0.326 | 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 | 312 | 38 | 17 | 20 | 22 |
N.S. |
1 | 1.00 | 1.11 | 1.00 | 17.33 | 2.11 | 0.94 | 1.11 | 1.22 |
time (sec) |
N/A | 0.190 | 20.983 | 0.057 | 0.418 | 0.266 | 1.002 | 0.402 | 2.063 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F(-2) | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 555 | 546 | 654 | 0 | 0 | 2473 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 1.18 | 0.00 | 0.00 | 4.46 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.377 | 5.344 | 0.000 | 0.000 | 0.305 | 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 | 300 | 38 | 17 | 20 | 22 |
N.S. |
1 | 1.00 | 1.11 | 1.00 | 16.67 | 2.11 | 0.94 | 1.11 | 1.22 |
time (sec) |
N/A | 0.199 | 19.202 | 0.054 | 0.432 | 0.254 | 0.808 | 0.401 | 2.044 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 123 | 146 | 220 | 177 | 0 | 1314 | 0 | 148 | 316 |
N.S. |
1 | 1.19 | 1.79 | 1.44 | 0.00 | 10.68 | 0.00 | 1.20 | 2.57 |
time (sec) |
N/A | 0.739 | 0.862 | 0.275 | 0.000 | 0.303 | 0.000 | 0.275 | 2.582 |
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 | 249 | 38 | 17 | 20 | 22 |
N.S. |
1 | 1.00 | 1.11 | 1.00 | 13.83 | 2.11 | 0.94 | 1.11 | 1.22 |
time (sec) |
N/A | 0.195 | 53.753 | 0.061 | 0.417 | 0.250 | 1.677 | 0.925 | 2.547 |
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 | 318 | 44 | 19 | 20 | 22 |
N.S. |
1 | 1.00 | 1.11 | 1.00 | 17.67 | 2.44 | 1.06 | 1.11 | 1.22 |
time (sec) |
N/A | 0.206 | 26.111 | 0.057 | 0.422 | 0.266 | 1.442 | 0.374 | 2.439 |
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 | 319 | 44 | 19 | 3 | 22 |
N.S. |
1 | 1.00 | 1.11 | 1.00 | 17.72 | 2.44 | 1.06 | 0.17 | 1.22 |
time (sec) |
N/A | 0.198 | 28.548 | 0.058 | 0.412 | 0.254 | 1.460 | 3.003 | 2.637 |
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 | 6 | 6 | 6 | 7 | 12 | 28 | 0 | 12 | 12 |
N.S. |
1 | 1.00 | 1.00 | 1.17 | 2.00 | 4.67 | 0.00 | 2.00 | 2.00 |
time (sec) |
N/A | 0.226 | 0.027 | 0.528 | 0.197 | 0.260 | 0.000 | 0.271 | 2.016 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 426 | 426 | 415 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.709 | 0.646 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 310 | 310 | 311 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.536 | 0.516 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 194 | 194 | 207 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.07 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.386 | 0.456 | 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 | 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 | 16 | 36 | 18 | 15 | 18 | 20 |
N.S. |
1 | 1.00 | 1.11 | 0.89 | 2.00 | 1.00 | 0.83 | 1.00 | 1.11 |
time (sec) |
N/A | 0.181 | 11.138 | 0.128 | 0.428 | 0.268 | 2.607 | 0.283 | 2.150 |
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 | 16 | 42 | 18 | 17 | 18 | 20 |
N.S. |
1 | 1.00 | 1.11 | 0.89 | 2.33 | 1.00 | 0.94 | 1.00 | 1.11 |
time (sec) |
N/A | 0.181 | 10.482 | 0.144 | 0.429 | 0.252 | 1.485 | 0.301 | 2.200 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 677 | 683 | 748 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 1.10 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.058 | 8.600 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 497 | 499 | 582 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.17 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.869 | 7.127 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 319 | 321 | 466 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 1.46 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.689 | 5.815 | 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 | 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 | 18 | 86 | 36 | 17 | 20 | 22 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 4.30 | 1.80 | 0.85 | 1.00 | 1.10 |
time (sec) |
N/A | 0.193 | 98.183 | 0.254 | 0.574 | 0.260 | 13.810 | 0.380 | 2.418 |
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 | 18 | 110 | 36 | 19 | 20 | 22 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 5.50 | 1.80 | 0.95 | 1.00 | 1.10 |
time (sec) |
N/A | 0.194 | 37.837 | 0.261 | 0.570 | 0.282 | 2.464 | 0.491 | 2.375 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F(-2) | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 961 | 962 | 721 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.75 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.673 | 1.209 | 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(-2) | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 721 | 722 | 547 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.76 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.393 | 0.835 | 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(-2) | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 481 | 482 | 373 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.099 | 0.673 | 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 | 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 | 18 | 58 | 19 | 17 | 20 | 22 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 2.90 | 0.95 | 0.85 | 1.00 | 1.10 |
time (sec) |
N/A | 0.198 | 5.432 | 0.182 | 0.509 | 0.251 | 2.400 | 0.363 | 2.041 |
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 | 16 | 42 | 18 | 17 | 18 | 20 |
N.S. |
1 | 1.00 | 1.11 | 0.89 | 2.33 | 1.00 | 0.94 | 1.00 | 1.11 |
time (sec) |
N/A | 0.183 | 0.105 | 0.009 | 0.443 | 0.261 | 1.464 | 0.324 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F(-2) | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 2851 | 2850 | 3035 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.06 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 4.383 | 10.368 | 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(-2) | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 2123 | 2122 | 2247 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.06 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 3.306 | 9.722 | 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(-2) | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 1395 | 1394 | 1393 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.586 | 8.951 | 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 | 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 | 18 | 253 | 38 | 19 | 20 | 22 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 12.65 | 1.90 | 0.95 | 1.00 | 1.10 |
time (sec) |
N/A | 0.182 | 179.185 | 0.178 | 0.977 | 0.269 | 4.715 | 1.375 | 2.437 |
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 | 18 | 324 | 44 | 20 | 3 | 22 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 16.20 | 2.20 | 1.00 | 0.15 | 1.10 |
time (sec) |
N/A | 0.189 | 91.963 | 0.181 | 1.158 | 0.274 | 9.896 | 3.100 | 2.477 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 254 | 254 | 288 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.13 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.446 | 0.576 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 172 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.23 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.319 | 0.926 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 26 | 23 | 22 | 33 | 37 | 29 | 43 |
N.S. |
1 | 1.00 | 1.00 | 0.88 | 0.85 | 1.27 | 1.42 | 1.12 | 1.65 |
time (sec) |
N/A | 0.181 | 0.058 | 0.264 | 0.193 | 0.259 | 0.448 | 0.269 | 1.978 |
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 | 16 | 42 | 25 | 19 | 18 | 20 |
N.S. |
1 | 1.00 | 1.10 | 0.80 | 2.10 | 1.25 | 0.95 | 0.90 | 1.00 |
time (sec) |
N/A | 0.177 | 13.992 | 0.132 | 0.442 | 0.264 | 1.083 | 0.294 | 2.195 |
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 | 16 | 42 | 25 | 19 | 18 | 20 |
N.S. |
1 | 1.00 | 1.10 | 0.80 | 2.10 | 1.25 | 0.95 | 0.90 | 1.00 |
time (sec) |
N/A | 0.179 | 15.408 | 0.128 | 0.447 | 0.247 | 4.377 | 0.304 | 2.279 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 407 | 407 | 496 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.22 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.778 | 5.887 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 229 | 229 | 344 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.50 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.576 | 3.352 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 47 | 42 | 48 | 194 | 0 | 55 | 77 |
N.S. |
1 | 1.00 | 1.00 | 0.89 | 1.02 | 4.13 | 0.00 | 1.17 | 1.64 |
time (sec) |
N/A | 0.371 | 0.205 | 0.516 | 0.199 | 0.269 | 0.000 | 0.283 | 2.054 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 24 | 18 | 106 | 46 | 20 | 20 | 22 |
N.S. |
1 | 1.00 | 1.09 | 0.82 | 4.82 | 2.09 | 0.91 | 0.91 | 1.00 |
time (sec) |
N/A | 0.191 | 36.169 | 0.258 | 0.551 | 0.259 | 2.050 | 0.381 | 2.375 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-1) | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 24 | 18 | 0 | 46 | 20 | 20 | 22 |
N.S. |
1 | 1.00 | 1.09 | 0.82 | 0.00 | 2.09 | 0.91 | 0.91 | 1.00 |
time (sec) |
N/A | 0.196 | 34.808 | 0.248 | 0.000 | 0.274 | 5.657 | 0.436 | 2.410 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F(-2) | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 601 | 602 | 460 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.77 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.254 | 1.156 | 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(-2) | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 361 | 362 | 286 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.007 | 0.778 | 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(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 68 | 69 | 69 | 90 | 0 | 254 | 0 | 61 | 155 |
N.S. |
1 | 1.01 | 1.01 | 1.32 | 0.00 | 3.74 | 0.00 | 0.90 | 2.28 |
time (sec) |
N/A | 0.350 | 0.187 | 0.268 | 0.000 | 0.299 | 0.000 | 0.276 | 2.555 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 24 | 18 | 66 | 27 | 20 | 20 | 22 |
N.S. |
1 | 1.00 | 1.09 | 0.82 | 3.00 | 1.23 | 0.91 | 0.91 | 1.00 |
time (sec) |
N/A | 0.193 | 10.044 | 0.169 | 0.493 | 0.252 | 2.189 | 0.343 | 2.126 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 24 | 18 | 66 | 27 | 20 | 20 | 22 |
N.S. |
1 | 1.00 | 1.09 | 0.82 | 3.00 | 1.23 | 0.91 | 0.91 | 1.00 |
time (sec) |
N/A | 0.200 | 10.413 | 0.166 | 0.550 | 0.267 | 6.603 | 0.428 | 2.168 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F(-2) | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 1755 | 1754 | 1769 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.01 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 3.030 | 8.270 | 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(-2) | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 1027 | 1026 | 986 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.150 | 5.154 | 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(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 127 | 152 | 232 | 177 | 0 | 1387 | 0 | 148 | 344 |
N.S. |
1 | 1.20 | 1.83 | 1.39 | 0.00 | 10.92 | 0.00 | 1.17 | 2.71 |
time (sec) |
N/A | 0.721 | 0.562 | 0.273 | 0.000 | 0.299 | 0.000 | 0.272 | 2.498 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 24 | 18 | 317 | 48 | 22 | 20 | 22 |
N.S. |
1 | 1.00 | 1.09 | 0.82 | 14.41 | 2.18 | 1.00 | 0.91 | 1.00 |
time (sec) |
N/A | 0.186 | 81.808 | 0.176 | 1.022 | 0.282 | 5.812 | 1.384 | 2.450 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 24 | 18 | 324 | 48 | 22 | 3 | 22 |
N.S. |
1 | 1.00 | 1.09 | 0.82 | 14.73 | 2.18 | 1.00 | 0.14 | 1.00 |
time (sec) |
N/A | 0.185 | 81.059 | 0.146 | 1.308 | 0.286 | 50.987 | 3.093 | 2.507 |
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 | 22 | 22 | 19 | 22 | 24 |
N.S. |
1 | 1.00 | 1.10 | 1.00 | 1.10 | 1.10 | 0.95 | 1.10 | 1.20 |
time (sec) |
N/A | 0.264 | 20.308 | 0.168 | 0.329 | 0.257 | 44.279 | 0.782 | 2.119 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | F | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 41 | 155 | 0 | 122 | 0 | 0 | 110 |
N.S. |
1 | 1.00 | 0.93 | 3.52 | 0.00 | 2.77 | 0.00 | 0.00 | 2.50 |
time (sec) |
N/A | 0.222 | 0.335 | 1.716 | 0.000 | 0.253 | 0.000 | 0.000 | 2.108 |
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 | 135 | 135 | 260 | 368 | 0 | 664 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.93 | 2.73 | 0.00 | 4.92 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.311 | 0.613 | 1.698 | 0.000 | 0.282 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | B | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 217 | 217 | 0 | 0 | 0 | 1082 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 4.99 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.412 | 0.000 | 0.000 | 0.000 | 0.301 | 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 | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 79 | 56 | 57 | 271 | 0 | 646 | 0 | 0 | 158 |
N.S. |
1 | 0.71 | 0.72 | 3.43 | 0.00 | 8.18 | 0.00 | 0.00 | 2.00 |
time (sec) |
N/A | 0.479 | 0.988 | 17.010 | 0.000 | 0.270 | 0.000 | 0.000 | 2.163 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 208 | 135 | 501 | 0 | 0 | 2972 | 0 | 0 | 0 |
N.S. |
1 | 0.65 | 2.41 | 0.00 | 0.00 | 14.29 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.488 | 5.470 | 0.000 | 0.000 | 0.324 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 363 | 236 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.65 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.664 | 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 | C | F | B | F | F | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 87 | 80 | 80 | 317 | 0 | 511 | 0 | 0 | 409 |
N.S. |
1 | 0.92 | 0.92 | 3.64 | 0.00 | 5.87 | 0.00 | 0.00 | 4.70 |
time (sec) |
N/A | 0.459 | 0.648 | 0.850 | 0.000 | 0.298 | 0.000 | 0.000 | 2.685 |
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 | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 307 | 252 | 859 | 585 | 0 | 1286 | 0 | 0 | 0 |
N.S. |
1 | 0.82 | 2.80 | 1.91 | 0.00 | 4.19 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.852 | 3.704 | 0.778 | 0.000 | 0.298 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | B | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 452 | 371 | 0 | 0 | 0 | 2005 | 0 | 0 | 0 |
N.S. |
1 | 0.82 | 0.00 | 0.00 | 0.00 | 4.44 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.146 | 0.000 | 0.000 | 0.000 | 0.318 | 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 | 157 | 159 | 233 | 491 | 0 | 3547 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 1.48 | 3.13 | 0.00 | 22.59 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.833 | 1.267 | 6.451 | 0.000 | 0.320 | 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 | 717 | 563 | 469 | 0 | 0 | 9020 | 0 | 0 | 0 |
N.S. |
1 | 0.79 | 0.65 | 0.00 | 0.00 | 12.58 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.429 | 6.458 | 0.000 | 0.000 | 0.422 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 1284 | 1019 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.275 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |