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 | F | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 225 | 0 | 247 | 0 | 0 | 367 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.10 | 0.00 | 0.00 | 1.63 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 3.971 | 0.000 | 0.000 | 0.263 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | F | F | B | F | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 225 | 81 | 205 | 0 | 0 | 504 | 0 | 0 | 0 |
N.S. |
1 | 0.36 | 0.91 | 0.00 | 0.00 | 2.24 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.311 | 1.227 | 0.000 | 0.000 | 3.316 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | C | N/A | N/A | N/A |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 226 | 5155 | 230 | 105 | 41 | 68055 | 31 | 3 | 38 |
N.S. |
1 | 22.81 | 1.02 | 0.46 | 0.18 | 301.13 | 0.14 | 0.01 | 0.17 |
time (sec) |
N/A | 11.097 | 10.313 | 0.371 | 0.218 | 4.423 | 10.716 | 3.678 | 7.140 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | C | N/A | N/A | N/A |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 226 | 5155 | 230 | 105 | 41 | 68055 | 31 | 3 | 38 |
N.S. |
1 | 22.81 | 1.02 | 0.46 | 0.18 | 301.13 | 0.14 | 0.01 | 0.17 |
time (sec) |
N/A | 10.200 | 0.005 | 0.000 | 0.235 | 4.409 | 10.451 | 3.693 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 226 | 0 | 180 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.80 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 13.341 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 226 | 0 | 209 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.92 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 13.302 | 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 | A | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 226 | 396 | 235 | 205 | 0 | 439 | 0 | 225 | 0 |
N.S. |
1 | 1.75 | 1.04 | 0.91 | 0.00 | 1.94 | 0.00 | 1.00 | 0.00 |
time (sec) |
N/A | 1.232 | 0.778 | 12.357 | 0.000 | 0.282 | 0.000 | 0.393 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 226 | 0 | 208 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.92 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 16.798 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | F(-1) | F(-1) | A | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 227 | 0 | 169 | 263 | 0 | 0 | 0 | 315 | 0 |
N.S. |
1 | 0.00 | 0.74 | 1.16 | 0.00 | 0.00 | 0.00 | 1.39 | 0.00 |
time (sec) |
N/A | 0.000 | 11.059 | 1.393 | 0.000 | 0.000 | 0.000 | 0.481 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | B | F | B | F | F(-2) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 227 | 609 | 189 | 569 | 0 | 1312 | 0 | 0 | 246 |
N.S. |
1 | 2.68 | 0.83 | 2.51 | 0.00 | 5.78 | 0.00 | 0.00 | 1.08 |
time (sec) |
N/A | 2.975 | 0.450 | 1.842 | 0.000 | 0.403 | 0.000 | 0.000 | 19.228 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F(-1) | F | B | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 227 | 206 | 185 | 164 | 0 | 0 | 0 | 680 | 0 |
N.S. |
1 | 0.91 | 0.81 | 0.72 | 0.00 | 0.00 | 0.00 | 3.00 | 0.00 |
time (sec) |
N/A | 0.925 | 0.442 | 1.987 | 0.000 | 0.000 | 0.000 | 1.424 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 228 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F(-1) | F(-1) | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 228 | 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 | N/A | N/A | F(-1) | F(-1) | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 228 | 0 | 239 | 189 | 32 | 0 | 0 | 32 | 35 |
N.S. |
1 | 0.00 | 1.05 | 0.83 | 0.14 | 0.00 | 0.00 | 0.14 | 0.15 |
time (sec) |
N/A | 0.000 | 0.430 | 0.057 | 0.315 | 0.000 | 0.000 | 5.053 | 6.907 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-1) | F(-1) | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 228 | 0 | 239 | 189 | 32 | 0 | 0 | 32 | 35 |
N.S. |
1 | 0.00 | 1.05 | 0.83 | 0.14 | 0.00 | 0.00 | 0.14 | 0.15 |
time (sec) |
N/A | 0.000 | 0.001 | 0.000 | 0.311 | 0.000 | 0.000 | 4.539 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 229 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 229 | 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 | C | A | C | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 229 | 508 | 171 | 185 | 0 | 873 | 0 | 0 | 0 |
N.S. |
1 | 2.22 | 0.75 | 0.81 | 0.00 | 3.81 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.445 | 0.873 | 0.404 | 0.000 | 5.924 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | C | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 229 | 508 | 171 | 185 | 0 | 873 | 0 | 0 | 0 |
N.S. |
1 | 2.22 | 0.75 | 0.81 | 0.00 | 3.81 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.289 | 1.073 | 3.010 | 0.000 | 5.663 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | N/A | N/A | F(-1) | N/A | C | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 229 | 177 | 430 | 1056 | 21 | 0 | 19 | 240 | 21 |
N.S. |
1 | 0.77 | 1.88 | 4.61 | 0.09 | 0.00 | 0.08 | 1.05 | 0.09 |
time (sec) |
N/A | 0.503 | 0.322 | 0.223 | 0.257 | 0.000 | 0.763 | 0.360 | 6.544 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 230 | 0 | 175 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.76 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 14.196 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | C | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 230 | 0 | 230 | 200 | 0 | 471 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.87 | 0.00 | 2.05 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.610 | 5.941 | 0.000 | 1.107 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | C | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 230 | 176 | 218 | 310 | 0 | 313 | 0 | 244 | 0 |
N.S. |
1 | 0.77 | 0.95 | 1.35 | 0.00 | 1.36 | 0.00 | 1.06 | 0.00 |
time (sec) |
N/A | 0.945 | 0.564 | 3.792 | 0.000 | 0.344 | 0.000 | 0.339 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | N/A | N/A | F(-1) | N/A | F(-1) | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 230 | 434 | 252 | 217 | 35 | 0 | 31 | 0 | 35 |
N.S. |
1 | 1.89 | 1.10 | 0.94 | 0.15 | 0.00 | 0.13 | 0.00 | 0.15 |
time (sec) |
N/A | 1.186 | 1.174 | 0.808 | 0.234 | 0.000 | 42.844 | 0.000 | 6.662 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | N/A | N/A | F(-1) | N/A | F(-1) | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 230 | 434 | 252 | 217 | 35 | 0 | 31 | 0 | 35 |
N.S. |
1 | 1.89 | 1.10 | 0.94 | 0.15 | 0.00 | 0.13 | 0.00 | 0.15 |
time (sec) |
N/A | 1.124 | 0.005 | 0.000 | 0.227 | 0.000 | 43.390 | 0.000 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 231 | 136 | 116 | 874 | 0 | 1208 | 0 | 0 | 0 |
N.S. |
1 | 0.59 | 0.50 | 3.78 | 0.00 | 5.23 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.191 | 4.066 | 10.620 | 0.000 | 0.716 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | C | F | A | F | F | F(-1) |
verified |
N/A | No | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 231 | 630 | 199 | 778 | 0 | 324 | 0 | 0 | 0 |
N.S. |
1 | 2.73 | 0.86 | 3.37 | 0.00 | 1.40 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.323 | 1.298 | 5.081 | 0.000 | 5.583 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 231 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F(-1) | F | B | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 231 | 216 | 189 | 166 | 0 | 0 | 0 | 690 | 0 |
N.S. |
1 | 0.94 | 0.82 | 0.72 | 0.00 | 0.00 | 0.00 | 2.99 | 0.00 |
time (sec) |
N/A | 0.943 | 0.453 | 1.792 | 0.000 | 0.000 | 0.000 | 1.833 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 232 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | A | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 232 | 0 | 0 | 134 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.58 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 0.762 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 232 | 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 | N/A | N/A | C | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 232 | 0 | 221 | 544 | 37 | 623 | 274 | 307 | 36 |
N.S. |
1 | 0.00 | 0.95 | 2.34 | 0.16 | 2.69 | 1.18 | 1.32 | 0.16 |
time (sec) |
N/A | 0.000 | 0.430 | 3.767 | 0.303 | 0.416 | 21.789 | 46.089 | 7.754 |
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 | 232 | 0 | 236 | 0 | 0 | 438 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.02 | 0.00 | 0.00 | 1.89 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 4.506 | 0.000 | 0.000 | 0.300 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | B | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 233 | 0 | 189 | 0 | 0 | 1496 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.81 | 0.00 | 0.00 | 6.42 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 2.213 | 0.000 | 0.000 | 14.401 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 233 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 233 | 274 | 252 | 194 | 0 | 1689 | 0 | 234 | 0 |
N.S. |
1 | 1.18 | 1.08 | 0.83 | 0.00 | 7.25 | 0.00 | 1.00 | 0.00 |
time (sec) |
N/A | 0.858 | 0.701 | 6.883 | 0.000 | 47.333 | 0.000 | 0.398 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | A | F | F(-2) | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 233 | 0 | 201 | 0 | 0 | 359 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.86 | 0.00 | 0.00 | 1.54 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 9.289 | 0.000 | 0.000 | 21.787 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 234 | 253 | 301 | 198 | 0 | 387 | 0 | 171 | 0 |
N.S. |
1 | 1.08 | 1.29 | 0.85 | 0.00 | 1.65 | 0.00 | 0.73 | 0.00 |
time (sec) |
N/A | 1.981 | 1.385 | 2.698 | 0.000 | 4.921 | 0.000 | 0.347 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 234 | 0 | 206 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.88 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 8.765 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 235 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 235 | 0 | 189 | 159 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.80 | 0.68 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 10.488 | 1.320 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | C | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 235 | 0 | 253 | 126 | 26 | 3658 | 34 | 26 | 26 |
N.S. |
1 | 0.00 | 1.08 | 0.54 | 0.11 | 15.57 | 0.14 | 0.11 | 0.11 |
time (sec) |
N/A | 0.000 | 0.286 | 65.626 | 0.293 | 1.080 | 1.455 | 0.670 | 6.671 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 235 | 0 | 227 | 40 | 42 | 0 | 39 | 42 | 42 |
N.S. |
1 | 0.00 | 0.97 | 0.17 | 0.18 | 0.00 | 0.17 | 0.18 | 0.18 |
time (sec) |
N/A | 0.000 | 1.521 | 0.029 | 0.250 | 0.000 | 1.031 | 1.055 | 7.054 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 235 | 0 | 227 | 40 | 42 | 0 | 39 | 42 | 42 |
N.S. |
1 | 0.00 | 0.97 | 0.17 | 0.18 | 0.00 | 0.17 | 0.18 | 0.18 |
time (sec) |
N/A | 0.000 | 0.002 | 0.000 | 0.239 | 0.000 | 1.016 | 1.020 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | C | N/A | F(-2) | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 235 | 0 | 328 | 50 | 52 | 3473933 | 54 | 0 | 52 |
N.S. |
1 | 0.00 | 1.40 | 0.21 | 0.22 | 14782.69 | 0.23 | 0.00 | 0.22 |
time (sec) |
N/A | 0.000 | 0.859 | 0.024 | 1.454 | 89.804 | 1.060 | 0.000 | 7.189 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | C | N/A | F(-2) | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 235 | 0 | 328 | 50 | 52 | 3473933 | 54 | 0 | 52 |
N.S. |
1 | 0.00 | 1.40 | 0.21 | 0.22 | 14782.69 | 0.23 | 0.00 | 0.22 |
time (sec) |
N/A | 0.000 | 0.009 | 0.000 | 1.426 | 88.403 | 1.089 | 0.000 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 236 | 103 | 157 | 171 | 0 | 1793 | 0 | 0 | 0 |
N.S. |
1 | 0.44 | 0.67 | 0.72 | 0.00 | 7.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.578 | 3.977 | 2.211 | 0.000 | 1.133 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 236 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 236 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | C | N/A | C | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 236 | 847 | 254 | 167 | 26 | 829 | 19 | 522 | 26 |
N.S. |
1 | 3.59 | 1.08 | 0.71 | 0.11 | 3.51 | 0.08 | 2.21 | 0.11 |
time (sec) |
N/A | 2.845 | 0.441 | 0.497 | 0.271 | 0.330 | 0.723 | 121.014 | 6.821 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | C | N/A | C | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 236 | 847 | 254 | 167 | 26 | 829 | 19 | 522 | 26 |
N.S. |
1 | 3.59 | 1.08 | 0.71 | 0.11 | 3.51 | 0.08 | 2.21 | 0.11 |
time (sec) |
N/A | 2.489 | 0.002 | 0.233 | 0.220 | 0.331 | 0.733 | 116.425 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 236 | 236 | 236 | 0 | 0 | 482 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 2.04 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.834 | 0.573 | 0.000 | 0.000 | 0.280 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | A | F | F(-1) | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 236 | 0 | 169 | 0 | 0 | 129 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.72 | 0.00 | 0.00 | 0.55 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.422 | 0.000 | 0.000 | 0.278 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | A | F | F(-1) | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 236 | 0 | 171 | 0 | 0 | 119 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.72 | 0.00 | 0.00 | 0.50 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.334 | 0.000 | 0.000 | 0.282 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 237 | 173 | 229 | 301 | 0 | 281 | 0 | 327 | 0 |
N.S. |
1 | 0.73 | 0.97 | 1.27 | 0.00 | 1.19 | 0.00 | 1.38 | 0.00 |
time (sec) |
N/A | 0.342 | 0.686 | 1.076 | 0.000 | 0.284 | 0.000 | 0.293 | 0.000 |
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 | 237 | 0 | 0 | 238 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 1.168 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-2) | N/A | C | N/A |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 237 | 1683 | 299 | 218 | 24 | 0 | 37 | 995 | 24 |
N.S. |
1 | 7.10 | 1.26 | 0.92 | 0.10 | 0.00 | 0.16 | 4.20 | 0.10 |
time (sec) |
N/A | 2.902 | 3.492 | 5.255 | 0.297 | 0.000 | 1.836 | 0.392 | 6.393 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-2) | N/A | C | N/A |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 237 | 1683 | 299 | 218 | 24 | 0 | 37 | 995 | 24 |
N.S. |
1 | 7.10 | 1.26 | 0.92 | 0.10 | 0.00 | 0.16 | 4.20 | 0.10 |
time (sec) |
N/A | 2.681 | 0.001 | 0.178 | 0.314 | 0.000 | 1.864 | 0.394 | 0.002 |
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 | 238 | 191 | 238 | 174 | 0 | 418 | 0 | 0 | 0 |
N.S. |
1 | 0.80 | 1.00 | 0.73 | 0.00 | 1.76 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.318 | 0.522 | 0.727 | 0.000 | 9.653 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 238 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 238 | 0 | 192 | 170 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.81 | 0.71 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 10.478 | 1.181 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | B | F | B | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 238 | 264 | 177 | 375 | 0 | 1784 | 0 | 441 | 0 |
N.S. |
1 | 1.11 | 0.74 | 1.58 | 0.00 | 7.50 | 0.00 | 1.85 | 0.00 |
time (sec) |
N/A | 0.658 | 0.262 | 3.024 | 0.000 | 54.751 | 0.000 | 1.001 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | N/A | N/A | F(-1) | N/A | F(-1) | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 238 | 448 | 260 | 226 | 40 | 0 | 31 | 0 | 38 |
N.S. |
1 | 1.88 | 1.09 | 0.95 | 0.17 | 0.00 | 0.13 | 0.00 | 0.16 |
time (sec) |
N/A | 1.257 | 1.143 | 0.764 | 0.210 | 0.000 | 53.363 | 0.000 | 6.480 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | N/A | N/A | F(-1) | N/A | F(-1) | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 238 | 448 | 260 | 226 | 40 | 0 | 31 | 0 | 38 |
N.S. |
1 | 1.88 | 1.09 | 0.95 | 0.17 | 0.00 | 0.13 | 0.00 | 0.16 |
time (sec) |
N/A | 1.222 | 0.006 | 0.000 | 0.250 | 0.000 | 53.094 | 0.000 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F(-1) | F | B | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 238 | 0 | 296 | 0 | 0 | 635 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.24 | 0.00 | 0.00 | 2.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.293 | 0.000 | 0.000 | 33.996 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 239 | 0 | 214 | 171 | 0 | 2091 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.90 | 0.72 | 0.00 | 8.75 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.616 | 1.820 | 0.000 | 0.463 | 0.000 | 0.000 | 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 | 239 | 1405 | 214 | 171 | 0 | 2075 | 0 | 0 | 0 |
N.S. |
1 | 5.88 | 0.90 | 0.72 | 0.00 | 8.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 5.810 | 1.510 | 1.439 | 0.000 | 0.478 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 239 | 346 | 231 | 283 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.45 | 0.97 | 1.18 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.002 | 0.995 | 1.297 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | A | F | C | F | F | F(-1) |
verified |
N/A | No | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 239 | 1867 | 188 | 226 | 0 | 601 | 0 | 0 | 0 |
N.S. |
1 | 7.81 | 0.79 | 0.95 | 0.00 | 2.51 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 4.032 | 1.759 | 21.335 | 0.000 | 0.372 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 241 | 0 | 194 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.80 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 12.645 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | C | N/A | C | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 241 | 688 | 269 | 177 | 37 | 621 | 29 | 491 | 38 |
N.S. |
1 | 2.85 | 1.12 | 0.73 | 0.15 | 2.58 | 0.12 | 2.04 | 0.16 |
time (sec) |
N/A | 2.457 | 0.599 | 0.612 | 0.233 | 0.331 | 4.761 | 116.849 | 7.609 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | C | N/A | C | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 241 | 688 | 269 | 177 | 37 | 621 | 29 | 491 | 38 |
N.S. |
1 | 2.85 | 1.12 | 0.73 | 0.15 | 2.58 | 0.12 | 2.04 | 0.16 |
time (sec) |
N/A | 2.257 | 0.006 | 0.000 | 0.224 | 0.316 | 4.726 | 116.023 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | C | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 241 | 0 | 238 | 207 | 37 | 4319 | 41 | 37 | 37 |
N.S. |
1 | 0.00 | 0.99 | 0.86 | 0.15 | 17.92 | 0.17 | 0.15 | 0.15 |
time (sec) |
N/A | 0.000 | 0.422 | 0.869 | 0.366 | 4.996 | 12.213 | 0.535 | 7.129 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 241 | 0 | 203 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.84 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 15.231 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 241 | 0 | 201 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 16.782 | 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 | C | F | C | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 241 | 0 | 223 | 38 | 0 | 1319 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.93 | 0.16 | 0.00 | 5.47 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 8.550 | 16.203 | 0.000 | 37.827 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 242 | 0 | 390 | 272 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.61 | 1.12 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.149 | 0.325 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | B | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 242 | 0 | 242 | 0 | 0 | 574 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.00 | 0.00 | 2.37 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.825 | 0.000 | 0.000 | 2.757 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | B | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 242 | 0 | 243 | 0 | 0 | 503 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.00 | 0.00 | 2.08 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.792 | 0.000 | 0.000 | 2.415 | 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 | 242 | 0 | 177 | 0 | 0 | 118 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.73 | 0.00 | 0.00 | 0.49 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.320 | 0.000 | 0.000 | 0.306 | 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 | 243 | 279 | 217 | 141 | 0 | 167 | 0 | 102 | 0 |
N.S. |
1 | 1.15 | 0.89 | 0.58 | 0.00 | 0.69 | 0.00 | 0.42 | 0.00 |
time (sec) |
N/A | 0.667 | 0.422 | 0.775 | 0.000 | 0.285 | 0.000 | 0.365 | 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 | 243 | 279 | 221 | 141 | 0 | 372 | 0 | 108 | 0 |
N.S. |
1 | 1.15 | 0.91 | 0.58 | 0.00 | 1.53 | 0.00 | 0.44 | 0.00 |
time (sec) |
N/A | 0.551 | 0.405 | 0.331 | 0.000 | 0.294 | 0.000 | 0.348 | 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 | 243 | 279 | 217 | 141 | 0 | 167 | 0 | 102 | 0 |
N.S. |
1 | 1.15 | 0.89 | 0.58 | 0.00 | 0.69 | 0.00 | 0.42 | 0.00 |
time (sec) |
N/A | 0.687 | 0.006 | 0.313 | 0.000 | 0.252 | 0.000 | 0.346 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 243 | 144 | 225 | 1285 | 0 | 370 | 0 | 0 | 0 |
N.S. |
1 | 0.59 | 0.93 | 5.29 | 0.00 | 1.52 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.302 | 5.321 | 11.897 | 0.000 | 1.621 | 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 | 243 | 194 | 260 | 248 | 0 | 222 | 0 | 174 | 0 |
N.S. |
1 | 0.80 | 1.07 | 1.02 | 0.00 | 0.91 | 0.00 | 0.72 | 0.00 |
time (sec) |
N/A | 0.738 | 0.446 | 8.767 | 0.000 | 0.264 | 0.000 | 0.321 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | B | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 243 | 651 | 656 | 167 | 39 | 0 | 31 | 39 | 39 |
N.S. |
1 | 2.68 | 2.70 | 0.69 | 0.16 | 0.00 | 0.13 | 0.16 | 0.16 |
time (sec) |
N/A | 1.978 | 11.200 | 0.533 | 0.216 | 0.000 | 6.703 | 23.070 | 6.805 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | B | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 243 | 651 | 656 | 167 | 39 | 0 | 31 | 39 | 39 |
N.S. |
1 | 2.68 | 2.70 | 0.69 | 0.16 | 0.00 | 0.13 | 0.16 | 0.16 |
time (sec) |
N/A | 1.585 | 0.002 | 0.276 | 0.214 | 0.000 | 6.705 | 22.767 | 0.004 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 243 | 0 | 205 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.84 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 19.713 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 243 | 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 | C | F | A | C | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 243 | 0 | 176 | 31 | 0 | 336 | 49 | 0 | 0 |
N.S. |
1 | 0.00 | 0.72 | 0.13 | 0.00 | 1.38 | 0.20 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.318 | 0.050 | 0.000 | 93.784 | 0.810 | 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 | 244 | 0 | 197 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.81 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 11.236 | 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 | C | B | F | B | F | B | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 244 | 290 | 181 | 393 | 0 | 1800 | 0 | 451 | 0 |
N.S. |
1 | 1.19 | 0.74 | 1.61 | 0.00 | 7.38 | 0.00 | 1.85 | 0.00 |
time (sec) |
N/A | 0.705 | 0.277 | 3.066 | 0.000 | 53.177 | 0.000 | 1.042 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 244 | 607 | 248 | 297 | 0 | 771 | 0 | 0 | 236 |
N.S. |
1 | 2.49 | 1.02 | 1.22 | 0.00 | 3.16 | 0.00 | 0.00 | 0.97 |
time (sec) |
N/A | 4.335 | 1.338 | 2.002 | 0.000 | 0.373 | 0.000 | 0.000 | 13.239 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 245 | 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 | C | A | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 245 | 1005 | 206 | 130 | 0 | 828 | 0 | 0 | 0 |
N.S. |
1 | 4.10 | 0.84 | 0.53 | 0.00 | 3.38 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 5.606 | 0.819 | 1.031 | 0.000 | 0.369 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | F(-2) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 245 | 0 | 299 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.22 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 3.614 | 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 | C | F | C | F | F | F(-1) |
verified |
N/A | N/A | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 245 | 0 | 219 | 460 | 0 | 226 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.89 | 1.88 | 0.00 | 0.92 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 3.140 | 3.638 | 0.000 | 0.289 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | C | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 245 | 0 | 217 | 33 | 0 | 1214 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.89 | 0.13 | 0.00 | 4.96 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 7.054 | 6.619 | 0.000 | 62.701 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-1) | F(-1) | C | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 245 | 0 | 221 | 226 | 39 | 0 | 0 | 2635 | 39 |
N.S. |
1 | 0.00 | 0.90 | 0.92 | 0.16 | 0.00 | 0.00 | 10.76 | 0.16 |
time (sec) |
N/A | 0.000 | 0.431 | 0.321 | 0.303 | 0.000 | 0.000 | 76.014 | 7.331 |