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 | F | A | C | F | B | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 39 | 0 | 54 | 152 | 0 | 93 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.38 | 3.90 | 0.00 | 2.38 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.429 | 1.924 | 0.000 | 4.538 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 39 | 1709 | 51 | 40 | 0 | 45 | 0 | 0 | 49 |
N.S. |
1 | 43.82 | 1.31 | 1.03 | 0.00 | 1.15 | 0.00 | 0.00 | 1.26 |
time (sec) |
N/A | 8.423 | 0.804 | 7.373 | 0.000 | 0.257 | 0.000 | 0.000 | 5.391 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 39 | 0 | 39 | 63 | 0 | 66 | 0 | 0 | 2611 |
N.S. |
1 | 0.00 | 1.00 | 1.62 | 0.00 | 1.69 | 0.00 | 0.00 | 66.95 |
time (sec) |
N/A | 0.000 | 0.280 | 7.545 | 0.000 | 0.260 | 0.000 | 0.000 | 6.318 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 39 | 64 | 64 | 27 | 0 | 172 | 0 | 0 | 51 |
N.S. |
1 | 1.64 | 1.64 | 0.69 | 0.00 | 4.41 | 0.00 | 0.00 | 1.31 |
time (sec) |
N/A | 0.574 | 1.230 | 3.777 | 0.000 | 0.299 | 0.000 | 0.000 | 6.888 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 39 | 28 | 58 | 29 | 61 | 29 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.72 | 1.49 | 0.74 | 1.56 | 0.74 | 0.00 |
time (sec) |
N/A | 0.164 | 0.114 | 0.938 | 0.198 | 0.239 | 0.813 | 0.263 | 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 | 39 | 39 | 60 | 38 | 0 | 41 | 0 | 41 | 0 |
N.S. |
1 | 1.00 | 1.54 | 0.97 | 0.00 | 1.05 | 0.00 | 1.05 | 0.00 |
time (sec) |
N/A | 0.186 | 0.134 | 3.464 | 0.000 | 0.269 | 0.000 | 0.280 | 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 | 39 | 54 | 58 | 38 | 0 | 37 | 0 | 43 | 0 |
N.S. |
1 | 1.38 | 1.49 | 0.97 | 0.00 | 0.95 | 0.00 | 1.10 | 0.00 |
time (sec) |
N/A | 0.210 | 0.202 | 3.648 | 0.000 | 0.261 | 0.000 | 0.283 | 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 | 39 | 36 | 39 | 36 | 0 | 35 | 0 | 46 | 0 |
N.S. |
1 | 0.92 | 1.00 | 0.92 | 0.00 | 0.90 | 0.00 | 1.18 | 0.00 |
time (sec) |
N/A | 0.206 | 0.072 | 2.151 | 0.000 | 0.255 | 0.000 | 0.317 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 39 | 0 | 39 | 36 | 0 | 157 | 0 | 0 | 56 |
N.S. |
1 | 0.00 | 1.00 | 0.92 | 0.00 | 4.03 | 0.00 | 0.00 | 1.44 |
time (sec) |
N/A | 0.000 | 0.942 | 1.248 | 0.000 | 1.610 | 0.000 | 0.000 | 5.530 |
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 | 39 | 39 | 56 | 40 | 0 | 39 | 0 | 49 | 0 |
N.S. |
1 | 1.00 | 1.44 | 1.03 | 0.00 | 1.00 | 0.00 | 1.26 | 0.00 |
time (sec) |
N/A | 0.189 | 0.154 | 1.342 | 0.000 | 0.284 | 0.000 | 0.319 | 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 | 39 | 0 | 39 | 36 | 0 | 146 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.92 | 0.00 | 3.74 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 10.800 | 1.592 | 0.000 | 2.085 | 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 | 39 | 45 | 39 | 0 | 0 | 29 | 0 | 0 | 0 |
N.S. |
1 | 1.15 | 1.00 | 0.00 | 0.00 | 0.74 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.190 | 0.050 | 0.000 | 0.000 | 0.234 | 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 | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 40 | 64 | 62 | 27 | 0 | 33 | 0 | 0 | 223 |
N.S. |
1 | 1.60 | 1.55 | 0.68 | 0.00 | 0.82 | 0.00 | 0.00 | 5.58 |
time (sec) |
N/A | 0.447 | 0.235 | 3.501 | 0.000 | 0.272 | 0.000 | 0.000 | 0.166 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 40 | 0 | 40 | 39 | 0 | 61 | 0 | 0 | 57 |
N.S. |
1 | 0.00 | 1.00 | 0.98 | 0.00 | 1.52 | 0.00 | 0.00 | 1.42 |
time (sec) |
N/A | 0.000 | 0.256 | 4.290 | 0.000 | 0.261 | 0.000 | 0.000 | 5.243 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 40 | 64 | 62 | 27 | 0 | 64 | 0 | 0 | 227 |
N.S. |
1 | 1.60 | 1.55 | 0.68 | 0.00 | 1.60 | 0.00 | 0.00 | 5.68 |
time (sec) |
N/A | 0.454 | 0.290 | 1.406 | 0.000 | 0.253 | 0.000 | 0.000 | 0.170 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 40 | 0 | 40 | 33 | 0 | 225 | 0 | 0 | 62 |
N.S. |
1 | 0.00 | 1.00 | 0.82 | 0.00 | 5.62 | 0.00 | 0.00 | 1.55 |
time (sec) |
N/A | 0.000 | 0.089 | 5.432 | 0.000 | 0.276 | 0.000 | 0.000 | 5.495 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 40 | 0 | 40 | 33 | 0 | 221 | 0 | 0 | 62 |
N.S. |
1 | 0.00 | 1.00 | 0.82 | 0.00 | 5.52 | 0.00 | 0.00 | 1.55 |
time (sec) |
N/A | 0.000 | 0.086 | 5.447 | 0.000 | 0.278 | 0.000 | 0.000 | 5.629 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | B | F(-1) | F | B |
verified |
N/A | N/A | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 40 | 0 | 33 | 291 | 0 | 312 | 0 | 0 | 457 |
N.S. |
1 | 0.00 | 0.82 | 7.28 | 0.00 | 7.80 | 0.00 | 0.00 | 11.42 |
time (sec) |
N/A | 0.000 | 12.758 | 0.822 | 0.000 | 0.465 | 0.000 | 0.000 | 5.279 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | B | F(-1) | F | B |
verified |
N/A | N/A | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 40 | 0 | 33 | 293 | 0 | 285 | 0 | 0 | 69 |
N.S. |
1 | 0.00 | 0.82 | 7.32 | 0.00 | 7.12 | 0.00 | 0.00 | 1.72 |
time (sec) |
N/A | 0.000 | 12.467 | 0.878 | 0.000 | 0.994 | 0.000 | 0.000 | 8.287 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 40 | 67 | 26 | 30 | 34 | 34 | 0 | 34 | 18 |
N.S. |
1 | 1.68 | 0.65 | 0.75 | 0.85 | 0.85 | 0.00 | 0.85 | 0.45 |
time (sec) |
N/A | 0.271 | 0.181 | 1.058 | 0.289 | 0.237 | 0.000 | 0.277 | 0.100 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F | A | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 40 | 0 | 53 | 37 | 0 | 40 | 0 | 37 | 0 |
N.S. |
1 | 0.00 | 1.32 | 0.92 | 0.00 | 1.00 | 0.00 | 0.92 | 0.00 |
time (sec) |
N/A | 0.000 | 0.058 | 0.508 | 0.000 | 0.248 | 0.000 | 0.278 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 40 | 467 | 30 | 29 | 34 | 36 | 0 | 0 | 33 |
N.S. |
1 | 11.68 | 0.75 | 0.72 | 0.85 | 0.90 | 0.00 | 0.00 | 0.82 |
time (sec) |
N/A | 1.310 | 8.383 | 5.044 | 0.291 | 0.248 | 0.000 | 0.000 | 4.942 |
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 | 40 | 40 | 40 | 30 | 0 | 29 | 36 | 29 | 29 |
N.S. |
1 | 1.00 | 1.00 | 0.75 | 0.00 | 0.72 | 0.90 | 0.72 | 0.72 |
time (sec) |
N/A | 0.192 | 0.037 | 1.405 | 0.000 | 0.250 | 10.123 | 0.269 | 5.038 |
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 | 40 | 54 | 40 | 45 | 52 | 46 | 65 | 53 | 198 |
N.S. |
1 | 1.35 | 1.00 | 1.12 | 1.30 | 1.15 | 1.62 | 1.32 | 4.95 |
time (sec) |
N/A | 0.281 | 0.031 | 2.162 | 0.275 | 0.240 | 3.819 | 0.270 | 4.852 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F | B | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 40 | 0 | 44 | 39 | 0 | 38 | 0 | 79 | 0 |
N.S. |
1 | 0.00 | 1.10 | 0.98 | 0.00 | 0.95 | 0.00 | 1.98 | 0.00 |
time (sec) |
N/A | 0.000 | 0.076 | 0.676 | 0.000 | 0.257 | 0.000 | 0.287 | 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 | 40 | 40 | 40 | 28 | 0 | 465 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.70 | 0.00 | 11.62 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.720 | 2.366 | 2.936 | 0.000 | 0.696 | 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 | 41 | 67 | 41 | 38 | 53 | 37 | 71 | 53 | 37 |
N.S. |
1 | 1.63 | 1.00 | 0.93 | 1.29 | 0.90 | 1.73 | 1.29 | 0.90 |
time (sec) |
N/A | 0.201 | 0.032 | 0.864 | 0.188 | 0.237 | 0.267 | 0.265 | 5.690 |
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 | 41 | 46 | 41 | 27 | 34 | 37 | 68 | 33 | 33 |
N.S. |
1 | 1.12 | 1.00 | 0.66 | 0.83 | 0.90 | 1.66 | 0.80 | 0.80 |
time (sec) |
N/A | 0.179 | 0.027 | 0.858 | 0.188 | 0.238 | 0.189 | 0.283 | 5.589 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 0 | 32 | 26 | 0 | 123 | 0 | 0 | 56 |
N.S. |
1 | 0.00 | 0.78 | 0.63 | 0.00 | 3.00 | 0.00 | 0.00 | 1.37 |
time (sec) |
N/A | 0.000 | 0.817 | 1.286 | 0.000 | 0.270 | 0.000 | 0.000 | 6.809 |
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 | 41 | 362 | 41 | 54 | 0 | 62 | 0 | 0 | 0 |
N.S. |
1 | 8.83 | 1.00 | 1.32 | 0.00 | 1.51 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.155 | 0.708 | 2.850 | 0.000 | 0.269 | 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(-1) | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 41 | 0 | 39 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.286 | 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 | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 55 | 41 | 45 | 55 | 55 | 80 | 56 | 198 |
N.S. |
1 | 1.34 | 1.00 | 1.10 | 1.34 | 1.34 | 1.95 | 1.37 | 4.83 |
time (sec) |
N/A | 0.286 | 0.051 | 2.101 | 0.282 | 0.255 | 11.642 | 0.301 | 0.060 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | B | A | A | A | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 84 | 41 | 40 | 113 | 38 | 42 | 44 | 201 |
N.S. |
1 | 2.05 | 1.00 | 0.98 | 2.76 | 0.93 | 1.02 | 1.07 | 4.90 |
time (sec) |
N/A | 0.251 | 0.059 | 2.436 | 0.288 | 0.265 | 51.492 | 0.286 | 5.241 |
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 | 41 | 41 | 41 | 58 | 0 | 29 | 37 | 29 | 29 |
N.S. |
1 | 1.00 | 1.00 | 1.41 | 0.00 | 0.71 | 0.90 | 0.71 | 0.71 |
time (sec) |
N/A | 0.194 | 0.041 | 1.407 | 0.000 | 0.285 | 10.813 | 0.296 | 5.693 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | A | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 0 | 0 | 66 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 1.61 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 2.021 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | F | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 41 | 408 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 9.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.896 | 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 | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 42 | 47 | 42 | 45 | 44 | 44 | 37 | 45 | 30 |
N.S. |
1 | 1.12 | 1.00 | 1.07 | 1.05 | 1.05 | 0.88 | 1.07 | 0.71 |
time (sec) |
N/A | 0.172 | 0.026 | 1.533 | 0.279 | 0.272 | 0.556 | 0.271 | 5.309 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | B | F(-1) | F(-1) | B |
verified |
N/A | N/A | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 42 | 0 | 42 | 2262 | 0 | 459 | 0 | 0 | 456 |
N.S. |
1 | 0.00 | 1.00 | 53.86 | 0.00 | 10.93 | 0.00 | 0.00 | 10.86 |
time (sec) |
N/A | 0.000 | 4.801 | 4.912 | 0.000 | 0.914 | 0.000 | 0.000 | 17.211 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 42 | 105 | 44 | 39 | 0 | 46 | 0 | 0 | 0 |
N.S. |
1 | 2.50 | 1.05 | 0.93 | 0.00 | 1.10 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.236 | 0.112 | 1.248 | 0.000 | 0.278 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 42 | 104 | 44 | 39 | 0 | 45 | 0 | 0 | 0 |
N.S. |
1 | 2.48 | 1.05 | 0.93 | 0.00 | 1.07 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.227 | 0.094 | 1.403 | 0.000 | 0.283 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 42 | 47 | 42 | 45 | 44 | 44 | 37 | 44 | 30 |
N.S. |
1 | 1.12 | 1.00 | 1.07 | 1.05 | 1.05 | 0.88 | 1.05 | 0.71 |
time (sec) |
N/A | 0.167 | 0.023 | 4.052 | 0.290 | 0.251 | 0.536 | 0.340 | 5.138 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 42 | 56 | 42 | 35 | 70 | 43 | 53 | 59 | 0 |
N.S. |
1 | 1.33 | 1.00 | 0.83 | 1.67 | 1.02 | 1.26 | 1.40 | 0.00 |
time (sec) |
N/A | 0.202 | 0.225 | 1.055 | 0.299 | 0.255 | 0.929 | 0.383 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 71 | 43 | 41 | 80 | 57 | 85 | 59 | 201 |
N.S. |
1 | 1.65 | 1.00 | 0.95 | 1.86 | 1.33 | 1.98 | 1.37 | 4.67 |
time (sec) |
N/A | 0.177 | 0.045 | 2.163 | 0.207 | 0.239 | 6.518 | 0.345 | 0.048 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | C | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 109 | 43 | 36 | 0 | 39 | 0 | 55 | 85 |
N.S. |
1 | 2.53 | 1.00 | 0.84 | 0.00 | 0.91 | 0.00 | 1.28 | 1.98 |
time (sec) |
N/A | 0.320 | 0.073 | 0.878 | 0.000 | 0.247 | 0.000 | 0.352 | 5.360 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 0 | 43 | 44 | 0 | 55 | 0 | 0 | 70 |
N.S. |
1 | 0.00 | 1.00 | 1.02 | 0.00 | 1.28 | 0.00 | 0.00 | 1.63 |
time (sec) |
N/A | 0.000 | 0.767 | 4.484 | 0.000 | 0.319 | 0.000 | 0.000 | 6.203 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 451 | 43 | 70 | 0 | 111 | 0 | 0 | 0 |
N.S. |
1 | 10.49 | 1.00 | 1.63 | 0.00 | 2.58 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.363 | 0.286 | 3.622 | 0.000 | 0.292 | 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) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 0 | 43 | 42 | 0 | 67 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.98 | 0.00 | 1.56 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.105 | 1.206 | 0.000 | 0.293 | 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) | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 0 | 43 | 40 | 0 | 154 | 0 | 0 | 55 |
N.S. |
1 | 0.00 | 1.00 | 0.93 | 0.00 | 3.58 | 0.00 | 0.00 | 1.28 |
time (sec) |
N/A | 0.000 | 10.486 | 1.276 | 0.000 | 1.414 | 0.000 | 0.000 | 5.209 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 70 | 43 | 40 | 66 | 39 | 165 | 44 | 47 |
N.S. |
1 | 1.63 | 1.00 | 0.93 | 1.53 | 0.91 | 3.84 | 1.02 | 1.09 |
time (sec) |
N/A | 0.175 | 0.038 | 1.288 | 0.281 | 0.249 | 6.907 | 0.280 | 5.192 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | C | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 60 | 42 | 35 | 86 | 37 | 104 | 55 | 0 |
N.S. |
1 | 1.40 | 0.98 | 0.81 | 2.00 | 0.86 | 2.42 | 1.28 | 0.00 |
time (sec) |
N/A | 0.175 | 0.137 | 1.046 | 0.188 | 0.242 | 2.238 | 0.326 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 70 | 43 | 40 | 66 | 39 | 160 | 44 | 47 |
N.S. |
1 | 1.63 | 1.00 | 0.93 | 1.53 | 0.91 | 3.72 | 1.02 | 1.09 |
time (sec) |
N/A | 0.171 | 0.040 | 1.214 | 0.278 | 0.258 | 4.594 | 0.278 | 5.205 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | C | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 60 | 42 | 35 | 84 | 37 | 104 | 55 | 0 |
N.S. |
1 | 1.40 | 0.98 | 0.81 | 1.95 | 0.86 | 2.42 | 1.28 | 0.00 |
time (sec) |
N/A | 0.169 | 0.178 | 1.091 | 0.198 | 0.248 | 1.735 | 0.311 | 0.000 |
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 | 43 | 498 | 43 | 42 | 0 | 53 | 0 | 0 | 0 |
N.S. |
1 | 11.58 | 1.00 | 0.98 | 0.00 | 1.23 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.719 | 0.639 | 3.326 | 0.000 | 0.276 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 50 | 42 | 27 | 86 | 37 | 46 | 49 | 0 |
N.S. |
1 | 1.16 | 0.98 | 0.63 | 2.00 | 0.86 | 1.07 | 1.14 | 0.00 |
time (sec) |
N/A | 0.165 | 0.139 | 1.131 | 0.212 | 0.253 | 2.255 | 0.315 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 71 | 43 | 40 | 119 | 57 | 117 | 58 | 85 |
N.S. |
1 | 1.65 | 1.00 | 0.93 | 2.77 | 1.33 | 2.72 | 1.35 | 1.98 |
time (sec) |
N/A | 0.178 | 0.054 | 1.258 | 0.266 | 0.249 | 49.133 | 0.279 | 6.092 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | B | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 192 | 43 | 64 | 0 | 68 | 0 | 0 | 0 |
N.S. |
1 | 4.47 | 1.00 | 1.49 | 0.00 | 1.58 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.343 | 0.621 | 4.848 | 0.000 | 0.284 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | B | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 192 | 43 | 64 | 0 | 68 | 0 | 0 | 0 |
N.S. |
1 | 4.47 | 1.00 | 1.49 | 0.00 | 1.58 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.265 | 0.609 | 2.671 | 0.000 | 0.291 | 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 | 43 | 0 | 43 | 40 | 0 | 154 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.93 | 0.00 | 3.58 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 10.621 | 1.502 | 0.000 | 2.124 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 60 | 43 | 45 | 85 | 57 | 99 | 59 | 198 |
N.S. |
1 | 1.40 | 1.00 | 1.05 | 1.98 | 1.33 | 2.30 | 1.37 | 4.60 |
time (sec) |
N/A | 0.309 | 0.044 | 2.135 | 0.283 | 0.247 | 24.081 | 0.283 | 5.252 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | A | F | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 0 | 0 | 39 | 0 | 172 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.91 | 0.00 | 4.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 1.553 | 0.000 | 0.357 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | B | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 0 | 43 | 349 | 0 | 167 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 8.12 | 0.00 | 3.88 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 8.192 | 249.525 | 0.000 | 6.846 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 47 | 43 | 78 | 14 | 14 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 1.00 | 1.81 | 0.33 | 0.33 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.343 | 0.014 | 1.323 | 0.186 | 0.251 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | F | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 43 | 419 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 9.74 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.134 | 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 | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 43 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 43 | 0 | 37 | 0 | 0 | 37 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.86 | 0.00 | 0.00 | 0.86 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 4.308 | 0.000 | 0.000 | 0.307 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F(-2) | B | F(-1) | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 44 | 0 | 37 | 2291 | 0 | 224 | 0 | 0 | 465 |
N.S. |
1 | 0.00 | 0.84 | 52.07 | 0.00 | 5.09 | 0.00 | 0.00 | 10.57 |
time (sec) |
N/A | 0.000 | 15.244 | 1.451 | 0.000 | 0.408 | 0.000 | 0.000 | 5.138 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F(-2) | B | F(-1) | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 44 | 0 | 37 | 2492 | 0 | 231 | 0 | 0 | 437 |
N.S. |
1 | 0.00 | 0.84 | 56.64 | 0.00 | 5.25 | 0.00 | 0.00 | 9.93 |
time (sec) |
N/A | 0.000 | 15.278 | 1.569 | 0.000 | 0.493 | 0.000 | 0.000 | 5.072 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 44 | 0 | 44 | 41 | 0 | 68 | 0 | 0 | 61 |
N.S. |
1 | 0.00 | 1.00 | 0.93 | 0.00 | 1.55 | 0.00 | 0.00 | 1.39 |
time (sec) |
N/A | 0.000 | 0.245 | 5.098 | 0.000 | 0.277 | 0.000 | 0.000 | 6.111 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | B | F(-1) | F | B |
verified |
N/A | N/A | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 44 | 0 | 37 | 370 | 0 | 407 | 0 | 0 | 589 |
N.S. |
1 | 0.00 | 0.84 | 8.41 | 0.00 | 9.25 | 0.00 | 0.00 | 13.39 |
time (sec) |
N/A | 0.000 | 10.844 | 1.076 | 0.000 | 0.504 | 0.000 | 0.000 | 5.562 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | B | F(-1) | F | B |
verified |
N/A | N/A | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 44 | 0 | 37 | 399 | 0 | 441 | 0 | 0 | 368 |
N.S. |
1 | 0.00 | 0.84 | 9.07 | 0.00 | 10.02 | 0.00 | 0.00 | 8.36 |
time (sec) |
N/A | 0.000 | 10.805 | 1.142 | 0.000 | 0.702 | 0.000 | 0.000 | 11.500 |
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 | 44 | 0 | 62 | 31 | 0 | 93 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.41 | 0.70 | 0.00 | 2.11 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 2.305 | 5.131 | 0.000 | 0.296 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | C | C | F | B | F(-1) | F(-1) | B |
verified |
N/A | N/A | No | No | TBD | TBD | TBD | TBD | TBD |
size | 44 | 0 | 8031 | 3170 | 0 | 471 | 0 | 0 | 1058 |
N.S. |
1 | 0.00 | 182.52 | 72.05 | 0.00 | 10.70 | 0.00 | 0.00 | 24.05 |
time (sec) |
N/A | 0.000 | 16.837 | 1.737 | 0.000 | 2.295 | 0.000 | 0.000 | 101.047 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 44 | 51 | 44 | 35 | 57 | 46 | 53 | 59 | 0 |
N.S. |
1 | 1.16 | 1.00 | 0.80 | 1.30 | 1.05 | 1.20 | 1.34 | 0.00 |
time (sec) |
N/A | 0.206 | 0.269 | 1.060 | 0.276 | 0.249 | 1.059 | 0.328 | 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 | 44 | 24 | 44 | 0 | 0 | 45 | 0 | 0 | 0 |
N.S. |
1 | 0.55 | 1.00 | 0.00 | 0.00 | 1.02 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.446 | 0.017 | 0.000 | 0.000 | 0.270 | 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 | 44 | 0 | 44 | 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 | 0.104 | 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 | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 44 | 31 | 44 | 0 | 0 | 60 | 15 | 0 | 0 |
N.S. |
1 | 0.70 | 1.00 | 0.00 | 0.00 | 1.36 | 0.34 | 0.00 | 0.00 |
time (sec) |
N/A | 0.214 | 0.178 | 0.000 | 0.000 | 0.375 | 0.977 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 45 | 50 | 45 | 52 | 47 | 58 | 32 | 47 | 33 |
N.S. |
1 | 1.11 | 1.00 | 1.16 | 1.04 | 1.29 | 0.71 | 1.04 | 0.73 |
time (sec) |
N/A | 0.164 | 0.044 | 1.458 | 0.268 | 0.255 | 0.635 | 0.264 | 5.582 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 45 | 47 | 41 | 58 | 47 | 57 | 32 | 48 | 33 |
N.S. |
1 | 1.04 | 0.91 | 1.29 | 1.04 | 1.27 | 0.71 | 1.07 | 0.73 |
time (sec) |
N/A | 0.172 | 0.045 | 1.839 | 0.315 | 0.255 | 0.623 | 0.255 | 5.634 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 45 | 47 | 45 | 52 | 47 | 57 | 34 | 48 | 33 |
N.S. |
1 | 1.04 | 1.00 | 1.16 | 1.04 | 1.27 | 0.76 | 1.07 | 0.73 |
time (sec) |
N/A | 0.164 | 0.031 | 1.821 | 0.265 | 0.260 | 0.586 | 0.263 | 5.533 |
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 | 45 | 60 | 61 | 43 | 0 | 43 | 0 | 49 | 0 |
N.S. |
1 | 1.33 | 1.36 | 0.96 | 0.00 | 0.96 | 0.00 | 1.09 | 0.00 |
time (sec) |
N/A | 0.205 | 0.215 | 3.156 | 0.000 | 0.285 | 0.000 | 0.312 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F(-1) | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 45 | 0 | 45 | 40 | 0 | 146 | 0 | 0 | 50 |
N.S. |
1 | 0.00 | 1.00 | 0.89 | 0.00 | 3.24 | 0.00 | 0.00 | 1.11 |
time (sec) |
N/A | 0.000 | 10.613 | 1.268 | 0.000 | 0.980 | 0.000 | 0.000 | 5.684 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F(-1) | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 45 | 0 | 45 | 64 | 0 | 115 | 0 | 0 | 77 |
N.S. |
1 | 0.00 | 1.00 | 1.42 | 0.00 | 2.56 | 0.00 | 0.00 | 1.71 |
time (sec) |
N/A | 0.000 | 1.373 | 0.889 | 0.000 | 0.278 | 0.000 | 0.000 | 8.873 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 45 | 47 | 45 | 52 | 47 | 57 | 34 | 47 | 33 |
N.S. |
1 | 1.04 | 1.00 | 1.16 | 1.04 | 1.27 | 0.76 | 1.04 | 0.73 |
time (sec) |
N/A | 0.173 | 0.037 | 4.138 | 0.265 | 0.271 | 0.638 | 0.260 | 5.535 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | B | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 45 | 0 | 45 | 807 | 0 | 256 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 17.93 | 0.00 | 5.69 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 10.905 | 3.464 | 0.000 | 29.113 | 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 | 45 | 0 | 45 | 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 | 11.109 | 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 | N/A | N/A | C | F(-1) | N/A | N/A |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 45 | 1790 | 45 | 38 | 22 | 1957 | 0 | 22 | 22 |
N.S. |
1 | 39.78 | 1.00 | 0.84 | 0.49 | 43.49 | 0.00 | 0.49 | 0.49 |
time (sec) |
N/A | 5.761 | 0.300 | 13.292 | 0.302 | 0.451 | 0.000 | 0.289 | 5.468 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | C | F(-1) | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 45 | 0 | 45 | 63 | 27 | 1933 | 0 | 27 | 27 |
N.S. |
1 | 0.00 | 1.00 | 1.40 | 0.60 | 42.96 | 0.00 | 0.60 | 0.60 |
time (sec) |
N/A | 0.000 | 0.345 | 12.408 | 0.334 | 0.462 | 0.000 | 0.592 | 5.790 |
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 | 45 | 18 | 81 | 0 | 0 | 57 | 0 | 0 | 0 |
N.S. |
1 | 0.40 | 1.80 | 0.00 | 0.00 | 1.27 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.312 | 0.161 | 0.000 | 0.000 | 0.486 | 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 | 46 | 75 | 64 | 43 | 0 | 44 | 0 | 50 | 0 |
N.S. |
1 | 1.63 | 1.39 | 0.93 | 0.00 | 0.96 | 0.00 | 1.09 | 0.00 |
time (sec) |
N/A | 0.249 | 0.136 | 3.454 | 0.000 | 0.314 | 0.000 | 0.289 | 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 | 46 | 39 | 46 | 36 | 0 | 41 | 0 | 0 | 0 |
N.S. |
1 | 0.85 | 1.00 | 0.78 | 0.00 | 0.89 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.493 | 0.582 | 4.536 | 0.000 | 0.282 | 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 | 46 | 0 | 46 | 40 | 0 | 39 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.87 | 0.00 | 0.85 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.121 | 3.487 | 0.000 | 0.281 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F | B | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 0 | 46 | 45 | 0 | 44 | 0 | 93 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.98 | 0.00 | 0.96 | 0.00 | 2.02 | 0.00 |
time (sec) |
N/A | 0.000 | 0.079 | 0.534 | 0.000 | 0.284 | 0.000 | 0.282 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | C | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 58 | 53 | 53 | 0 | 52 | 0 | 50 | 0 |
N.S. |
1 | 1.26 | 1.15 | 1.15 | 0.00 | 1.13 | 0.00 | 1.09 | 0.00 |
time (sec) |
N/A | 0.522 | 0.165 | 3.911 | 0.000 | 0.274 | 0.000 | 0.289 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | B | C | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 47 | 33 | 59 | 85 | 34 | 60 | 29 |
N.S. |
1 | 1.00 | 1.00 | 0.70 | 1.26 | 1.81 | 0.72 | 1.28 | 0.62 |
time (sec) |
N/A | 0.181 | 0.011 | 2.866 | 0.268 | 1.436 | 0.552 | 0.279 | 5.680 |
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 | 47 | 60 | 47 | 57 | 53 | 49 | 56 | 53 | 39 |
N.S. |
1 | 1.28 | 1.00 | 1.21 | 1.13 | 1.04 | 1.19 | 1.13 | 0.83 |
time (sec) |
N/A | 0.180 | 0.036 | 3.561 | 0.269 | 0.254 | 11.605 | 0.268 | 5.516 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F | A | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 0 | 59 | 48 | 0 | 66 | 0 | 61 | 0 |
N.S. |
1 | 0.00 | 1.26 | 1.02 | 0.00 | 1.40 | 0.00 | 1.30 | 0.00 |
time (sec) |
N/A | 0.000 | 0.120 | 0.526 | 0.000 | 0.243 | 0.000 | 0.284 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | B | F | F | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 1670 | 47 | 76 | 0 | 109 | 0 | 0 | 0 |
N.S. |
1 | 35.53 | 1.00 | 1.62 | 0.00 | 2.32 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.899 | 0.302 | 3.920 | 0.000 | 0.289 | 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) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 0 | 47 | 44 | 0 | 64 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.94 | 0.00 | 1.36 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.108 | 8.411 | 0.000 | 0.317 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | A | F | A | F(-1) | F | B |
verified |
N/A | N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 0 | 0 | 45 | 0 | 193 | 0 | 0 | 61 |
N.S. |
1 | 0.00 | 0.00 | 0.96 | 0.00 | 4.11 | 0.00 | 0.00 | 1.30 |
time (sec) |
N/A | 0.000 | 0.000 | 1.420 | 0.000 | 0.280 | 0.000 | 0.000 | 5.632 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | F(-2) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 0 | 47 | 66 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 1.40 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.452 | 0.918 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |