Detailed conclusion table per each integral is given by 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 just an F.
In this table,the column N.S. in the table below, which stands for normalized size is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To help make the table fit, Mathematica was abbreviated to MMA.
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | A | F(-1) | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 150 | 150 | 164 | 492 | 128 | 0 | 0 | 0 | 86 |
N.S. |
1 | 1.00 | 1.09 | 3.28 | 0.85 | 0.00 | 0.00 | 0.00 | 0.57 |
time (sec) |
N/A | 0.086 | 0.237 | 14.324 | 0.527 | 0.000 | 0.000 | 0.000 | 5.454 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | A | F(-1) | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 166 | 166 | 194 | 1112 | 139 | 0 | 0 | 0 | 99 |
N.S. |
1 | 1.00 | 1.17 | 6.70 | 0.84 | 0.00 | 0.00 | 0.00 | 0.60 |
time (sec) |
N/A | 0.098 | 0.348 | 48.648 | 0.510 | 0.000 | 0.000 | 0.000 | 5.729 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | A | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 184 | 184 | 194 | 1208 | 152 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.05 | 6.57 | 0.83 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.120 | 0.585 | 49.217 | 0.542 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | A | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 202 | 202 | 207 | 1272 | 165 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.02 | 6.30 | 0.82 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.136 | 0.885 | 53.507 | 0.561 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | A | F(-1) | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 268 | 268 | 215 | 7157 | 221 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.80 | 26.71 | 0.82 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.213 | 1.569 | 18.403 | 0.505 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | A | F(-1) | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 249 | 249 | 202 | 6328 | 209 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.81 | 25.41 | 0.84 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.188 | 1.453 | 18.643 | 0.503 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | A | F(-1) | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 223 | 223 | 199 | 3512 | 190 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.89 | 15.75 | 0.85 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.160 | 0.427 | 18.971 | 0.507 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | A | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 204 | 204 | 170 | 3089 | 177 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.83 | 15.14 | 0.87 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.137 | 0.500 | 16.588 | 0.537 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | A | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 204 | 204 | 173 | 1757 | 177 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.85 | 8.61 | 0.87 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.136 | 0.765 | 52.487 | 0.497 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | A | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 223 | 223 | 77 | 1733 | 191 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.35 | 7.77 | 0.86 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.159 | 0.268 | 56.151 | 0.505 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | A | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 249 | 249 | 81 | 1975 | 212 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.33 | 7.93 | 0.85 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.184 | 0.287 | 59.005 | 0.544 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | A | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 268 | 268 | 80 | 1903 | 224 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.30 | 7.10 | 0.84 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.209 | 0.399 | 55.305 | 0.543 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | A | F(-1) | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 299 | 299 | 229 | 9273 | 262 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.77 | 31.01 | 0.88 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.319 | 2.207 | 17.662 | 0.507 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | A | F(-1) | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 270 | 270 | 225 | 8774 | 240 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.83 | 32.50 | 0.89 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.272 | 2.180 | 18.478 | 0.501 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | A | F(-1) | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 245 | 245 | 194 | 4528 | 220 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.79 | 18.48 | 0.90 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.244 | 1.032 | 17.936 | 0.521 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | A | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 245 | 245 | 188 | 4227 | 218 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.77 | 17.25 | 0.89 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.245 | 3.204 | 52.275 | 0.504 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | A | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 245 | 245 | 100 | 2370 | 221 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.41 | 9.67 | 0.90 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.249 | 0.348 | 50.568 | 0.579 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | A | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 272 | 272 | 102 | 2472 | 243 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.38 | 9.09 | 0.89 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.275 | 0.529 | 64.469 | 0.512 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | A | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 299 | 299 | 101 | 2598 | 265 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.34 | 8.69 | 0.89 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.318 | 0.620 | 54.520 | 0.519 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | A | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 271 | 271 | 303 | 11313 | 207 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.12 | 41.75 | 0.76 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.458 | 0.386 | 19.338 | 0.517 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | A | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 250 | 250 | 264 | 10343 | 189 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.06 | 41.37 | 0.76 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.329 | 0.431 | 20.344 | 0.492 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | A | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 232 | 232 | 227 | 2278 | 174 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.98 | 9.82 | 0.75 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.204 | 0.227 | 16.048 | 0.495 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | A | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 232 | 232 | 204 | 1892 | 174 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.88 | 8.16 | 0.75 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.204 | 0.153 | 17.457 | 0.496 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | A | F(-1) | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 232 | 232 | 226 | 1900 | 175 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.97 | 8.19 | 0.75 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.203 | 0.171 | 16.658 | 0.551 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | A | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 250 | 250 | 193 | 5450 | 189 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.77 | 21.80 | 0.76 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.343 | 0.410 | 55.597 | 0.532 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | A | F(-1) | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 398 | 398 | 455 | 37365 | 318 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.14 | 93.88 | 0.80 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.759 | 6.179 | 22.496 | 0.537 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | A | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 357 | 357 | 424 | 28980 | 303 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.19 | 81.18 | 0.85 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.560 | 6.121 | 23.149 | 0.523 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | A | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 318 | 318 | 368 | 18333 | 283 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.16 | 57.65 | 0.89 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.383 | 1.721 | 20.422 | 0.505 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | A | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 315 | 315 | 301 | 20286 | 276 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.96 | 64.40 | 0.88 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.348 | 4.784 | 17.352 | 0.524 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | A | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 313 | 313 | 380 | 20172 | 274 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.21 | 64.45 | 0.88 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.338 | 6.101 | 17.250 | 0.508 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | A | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 319 | 319 | 279 | 20282 | 284 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.87 | 63.58 | 0.89 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.398 | 2.801 | 16.298 | 0.516 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | A | F(-1) | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 357 | 357 | 239 | 21870 | 322 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.67 | 61.26 | 0.90 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.581 | 0.614 | 59.641 | 0.517 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | A | F(-1) | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 493 | 493 | 564 | 101140 | 456 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.14 | 205.15 | 0.92 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.082 | 6.263 | 28.122 | 0.527 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | A | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 444 | 444 | 530 | 79208 | 439 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.19 | 178.40 | 0.99 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.837 | 6.178 | 32.519 | 0.530 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | A | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 396 | 396 | 499 | 50668 | 426 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.26 | 127.95 | 1.08 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.629 | 6.171 | 29.167 | 0.523 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | A | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 392 | 392 | 462 | 50771 | 418 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.18 | 129.52 | 1.07 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.658 | 6.146 | 19.072 | 0.536 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | A | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 385 | 385 | 492 | 50714 | 409 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.28 | 131.72 | 1.06 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.612 | 6.149 | 20.925 | 0.524 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | A | F(-1) | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 385 | 385 | 398 | 50673 | 415 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.03 | 131.62 | 1.08 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.589 | 2.647 | 22.537 | 0.511 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | A | F(-1) | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 396 | 396 | 387 | 50764 | 425 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.98 | 128.19 | 1.07 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.654 | 6.134 | 20.981 | 0.530 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F(-1) | F(-1) | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 261 | 261 | 220 | 21305 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.84 | 81.63 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.614 | 2.303 | 36.899 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F(-1) | F(-2) | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 221 | 221 | 185 | 10794 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.84 | 48.84 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.301 | 0.784 | 29.770 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F(-1) | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 179 | 179 | 174 | 10498 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.97 | 58.65 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.329 | 0.162 | 37.431 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F(-1) | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 155 | 155 | 143 | 2597 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.92 | 16.75 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.132 | 0.162 | 38.506 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F(-1) | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 211 | 211 | 209 | 5190 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.99 | 24.60 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.440 | 0.862 | 35.276 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F(-1) | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 244 | 244 | 261 | 12857 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.07 | 52.69 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.518 | 0.790 | 37.311 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F(-1) | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 306 | 306 | 255 | 25460 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.83 | 83.20 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.847 | 3.299 | 35.276 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F(-1) | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 264 | 264 | 219 | 23629 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.83 | 89.50 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.665 | 1.582 | 35.006 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F(-1) | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 213 | 213 | 196 | 12725 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.92 | 59.74 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.507 | 1.267 | 33.802 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F(-1) | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 185 | 185 | 175 | 11638 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.95 | 62.91 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.379 | 0.502 | 32.694 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 212 | 212 | 237 | 6349 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.12 | 29.95 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.556 | 0.600 | 34.230 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F(-1) | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 246 | 246 | 292 | 13888 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.19 | 56.46 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.923 | 2.098 | 38.457 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F(-1) | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 286 | 286 | 312 | 16676 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.09 | 58.31 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.023 | 5.999 | 35.702 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F(-1) | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 358 | 358 | 329 | 49804 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.92 | 139.12 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.132 | 5.487 | 35.865 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F(-1) | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 310 | 310 | 274 | 33758 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.88 | 108.90 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.935 | 3.567 | 35.886 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F(-1) | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 259 | 259 | 214 | 33357 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.83 | 128.79 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.729 | 1.804 | 35.138 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F(-1) | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 222 | 222 | 190 | 16676 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.86 | 75.12 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.535 | 1.131 | 32.751 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F(-1) | F(-2) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 243 | 243 | 253 | 27482 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.04 | 113.09 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.092 | 2.087 | 36.014 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F(-1) | F(-2) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 248 | 248 | 241 | 15065 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.97 | 60.75 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.044 | 1.120 | 35.208 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F(-1) | F(-2) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 291 | 291 | 284 | 17291 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.98 | 59.42 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.584 | 2.520 | 40.204 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F(-1) | F(-2) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 337 | 337 | 320 | 18203 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.95 | 54.01 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.586 | 3.998 | 43.032 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F(-1) | F(-2) | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 220 | 220 | 193 | 8425 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.88 | 38.30 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.319 | 3.546 | 32.688 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 187 | 187 | 177 | 6056 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.95 | 32.39 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.199 | 0.658 | 38.720 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F(-1) | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 149 | 149 | 144 | 2048 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.97 | 13.74 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.139 | 0.166 | 35.233 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F(-1) | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 155 | 155 | 143 | 1631 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.92 | 10.52 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.143 | 0.184 | 33.718 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F(-1) | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 212 | 212 | 209 | 4705 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.99 | 22.19 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.180 | 1.178 | 36.236 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F(-1) | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 248 | 248 | 243 | 11480 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.98 | 46.29 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.548 | 2.468 | 35.543 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F(-1) | F(-2) | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 281 | 281 | 241 | 9931 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.86 | 35.34 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.654 | 5.779 | 37.943 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 233 | 233 | 229 | 9450 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.98 | 40.56 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.498 | 5.925 | 38.644 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F(-1) | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 199 | 199 | 203 | 4830 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.02 | 24.27 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.379 | 1.035 | 38.346 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F(-1) | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 189 | 189 | 183 | 4836 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.97 | 25.59 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.363 | 2.050 | 39.409 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F(-1) | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 194 | 194 | 202 | 4822 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.04 | 24.86 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.345 | 1.835 | 33.996 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F(-1) | F(-2) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 255 | 255 | 341 | 14605 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.34 | 57.27 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.908 | 2.064 | 36.477 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F(-1) | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 310 | 310 | 319 | 15849 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.03 | 51.13 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.163 | 6.219 | 36.788 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F(-1) | F(-2) | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 338 | 338 | 504 | 41735 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.49 | 123.48 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.876 | 6.301 | 37.546 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 305 | 305 | 296 | 26450 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.97 | 86.72 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.720 | 4.098 | 38.190 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F(-1) | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 252 | 252 | 255 | 20642 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.01 | 81.91 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.546 | 2.082 | 27.445 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F(-1) | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 251 | 251 | 214 | 19740 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.85 | 78.65 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.513 | 5.244 | 38.882 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F(-1) | F(-2) | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 239 | 239 | 218 | 20598 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.91 | 86.18 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.510 | 4.157 | 37.081 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F(-1) | F(-2) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 254 | 254 | 209 | 19720 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.82 | 77.64 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.572 | 4.296 | 37.438 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 206 | 206 | 141 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.68 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.303 | 0.948 | 0.536 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 132 | 132 | 107 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.81 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.163 | 0.499 | 0.424 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 96 | 96 | 88 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.92 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.091 | 0.221 | 0.308 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 182 | 182 | 145 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.80 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.281 | 0.636 | 2.320 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 250 | 250 | 192 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.77 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.546 | 0.889 | 2.602 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F | F | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 193 | 193 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.191 | 3.406 | 0.378 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 155 | 155 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.204 | 3.925 | 0.359 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F | F | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 153 | 153 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.176 | 4.631 | 0.362 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F | F | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 159 | 159 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.195 | 5.830 | 0.395 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F | F | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 159 | 159 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.188 | 5.827 | 0.351 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 55 | 23 | 48 | 83 | 114 | 83 | 36 |
N.S. | 1 | 1.00 | 2.20 | 0.92 | 1.92 | 3.32 | 4.56 | 3.32 | 1.44 |
time (sec) |
N/A | 0.048 | 0.214 | 0.070 | 0.496 | 1.104 | 0.181 | 0.559 | 4.782 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 36 | 45 | 31 | 34 | 54 | 68 | 54 | 26 |
N.S. | 1 | 1.44 | 1.80 | 1.24 | 1.36 | 2.16 | 2.72 | 2.16 | 1.04 |
time (sec) |
N/A | 0.046 | 0.148 | 0.071 | 0.539 | 0.993 | 0.167 | 0.484 | 4.728 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | C | C | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 12 | 13 | 13 | 20 | 24 | 13 | 12 |
N.S. | 1 | 1.00 | 1.00 | 1.08 | 1.08 | 1.67 | 2.00 | 1.08 | 1.00 |
time (sec) |
N/A | 0.018 | 0.014 | 0.022 | 0.522 | 1.123 | 0.075 | 0.434 | 4.693 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 32 | 20 | 0 | 19 | 42 | 33 | 23 |
N.S. |
1 | 1.00 | 1.39 | 0.87 | 0.00 | 0.83 | 1.83 | 1.43 | 1.00 |
time (sec) |
N/A | 0.054 | 0.116 | 0.118 | 0.000 | 1.153 | 0.082 | 0.450 | 4.775 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 45 | 22 | 0 | 35 | 100 | 65 | 21 |
N.S. |
1 | 1.00 | 1.80 | 0.88 | 0.00 | 1.40 | 4.00 | 2.60 | 0.84 |
time (sec) |
N/A | 0.055 | 0.556 | 0.151 | 0.000 | 0.879 | 0.161 | 0.532 | 4.810 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | F(-2) | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 56 | 21 | 0 | 48 | 141 | 96 | 20 |
N.S. |
1 | 1.00 | 2.24 | 0.84 | 0.00 | 1.92 | 5.64 | 3.84 | 0.80 |
time (sec) |
N/A | 0.051 | 0.473 | 0.182 | 0.000 | 1.224 | 0.192 | 0.634 | 4.791 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 80 | 50 | 72 | 133 | 182 | 133 | 80 |
N.S. | 1 | 1.00 | 1.38 | 0.86 | 1.24 | 2.29 | 3.14 | 2.29 | 1.38 |
time (sec) |
N/A | 0.071 | 1.132 | 0.082 | 0.486 | 1.188 | 0.322 | 0.709 | 4.804 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 52 | 54 | 72 | 102 | 138 | 102 | 80 |
N.S. | 1 | 1.00 | 0.85 | 0.89 | 1.18 | 1.67 | 2.26 | 1.67 | 1.31 |
time (sec) |
N/A | 0.067 | 0.985 | 0.072 | 0.498 | 1.274 | 0.261 | 0.623 | 4.723 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | C | C | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 29 | 28 | 37 | 71 | 94 | 166 | 27 |
N.S. | 1 | 1.00 | 0.76 | 0.74 | 0.97 | 1.87 | 2.47 | 4.37 | 0.71 |
time (sec) |
N/A | 0.044 | 0.061 | 0.042 | 0.499 | 1.170 | 0.175 | 0.565 | 4.636 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 36 | 45 | 31 | 34 | 35 | 44 | 35 | 26 |
N.S. | 1 | 1.44 | 1.80 | 1.24 | 1.36 | 1.40 | 1.76 | 1.40 | 1.04 |
time (sec) |
N/A | 0.046 | 0.158 | 0.066 | 0.551 | 1.482 | 0.121 | 0.502 | 4.542 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 55 | 55 | 74 | 38 | 0 | 69 | 100 | 125 | 48 |
N.S. |
1 | 1.00 | 1.35 | 0.69 | 0.00 | 1.25 | 1.82 | 2.27 | 0.87 |
time (sec) |
N/A | 0.080 | 0.762 | 0.170 | 0.000 | 1.094 | 0.164 | 0.536 | 4.618 |