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 | F(-1) | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 245 | 0 | 245 | 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 | 0.875 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 245 | 0 | 242 | 128 | 26 | 0 | 24 | 26 | 29 |
N.S. |
1 | 0.00 | 0.99 | 0.52 | 0.11 | 0.00 | 0.10 | 0.11 | 0.12 |
time (sec) |
N/A | 0.000 | 0.139 | 0.046 | 0.310 | 0.000 | 147.845 | 0.427 | 6.530 |
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 | 245 | 0 | 242 | 128 | 26 | 0 | 24 | 26 | 29 |
N.S. |
1 | 0.00 | 0.99 | 0.52 | 0.11 | 0.00 | 0.10 | 0.11 | 0.12 |
time (sec) |
N/A | 0.000 | 0.002 | 0.043 | 0.331 | 0.000 | 147.024 | 0.432 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-1) | F(-1) | F(-1) | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 246 | 0 | 299 | 188 | 39 | 0 | 0 | 0 | 39 |
N.S. |
1 | 0.00 | 1.22 | 0.76 | 0.16 | 0.00 | 0.00 | 0.00 | 0.16 |
time (sec) |
N/A | 0.000 | 0.425 | 0.246 | 1.365 | 0.000 | 0.000 | 0.000 | 6.532 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-1) | F(-1) | F(-1) | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 246 | 0 | 299 | 188 | 39 | 0 | 0 | 0 | 39 |
N.S. |
1 | 0.00 | 1.22 | 0.76 | 0.16 | 0.00 | 0.00 | 0.00 | 0.16 |
time (sec) |
N/A | 0.000 | 0.001 | 0.216 | 1.286 | 0.000 | 0.000 | 0.000 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | 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 | 247 | 1130 | 300 | 250 | 31 | 0 | 27 | 224 | 31 |
N.S. |
1 | 4.57 | 1.21 | 1.01 | 0.13 | 0.00 | 0.11 | 0.91 | 0.13 |
time (sec) |
N/A | 2.962 | 0.735 | 0.416 | 0.244 | 0.000 | 3.930 | 9.414 | 6.337 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | 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 | 247 | 1130 | 300 | 250 | 31 | 0 | 27 | 224 | 31 |
N.S. |
1 | 4.57 | 1.21 | 1.01 | 0.13 | 0.00 | 0.11 | 0.91 | 0.13 |
time (sec) |
N/A | 2.554 | 0.003 | 0.001 | 0.217 | 0.000 | 3.969 | 8.976 | 0.002 |
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 | 247 | 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 | B | F | B | F(-1) | F(-2) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 247 | 744 | 224 | 488 | 0 | 1523 | 0 | 0 | 274 |
N.S. |
1 | 3.01 | 0.91 | 1.98 | 0.00 | 6.17 | 0.00 | 0.00 | 1.11 |
time (sec) |
N/A | 3.239 | 0.844 | 1.492 | 0.000 | 0.750 | 0.000 | 0.000 | 18.873 |
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 | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 248 | 1404 | 37 | 42 | 37 | 57 | 0 | 37 | 37 |
N.S. |
1 | 5.66 | 0.15 | 0.17 | 0.15 | 0.23 | 0.00 | 0.15 | 0.15 |
time (sec) |
N/A | 2.095 | 0.949 | 5.881 | 0.291 | 0.325 | 0.000 | 2.641 | 6.685 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | C | F(-1) | F(-2) | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 248 | 0 | 235 | 303 | 0 | 807 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.95 | 1.22 | 0.00 | 3.25 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.306 | 4.481 | 0.000 | 14.523 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | N/A | N/A | C | N/A | F(-2) | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 248 | 385 | 242 | 143 | 24 | 5633 | 24 | 0 | 24 |
N.S. |
1 | 1.55 | 0.98 | 0.58 | 0.10 | 22.71 | 0.10 | 0.00 | 0.10 |
time (sec) |
N/A | 1.060 | 0.217 | 0.147 | 0.293 | 8.292 | 11.072 | 0.000 | 6.648 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | N/A | N/A | C | N/A | F(-2) | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 248 | 385 | 242 | 143 | 24 | 5633 | 24 | 0 | 24 |
N.S. |
1 | 1.55 | 0.98 | 0.58 | 0.10 | 22.71 | 0.10 | 0.00 | 0.10 |
time (sec) |
N/A | 0.893 | 0.001 | 0.391 | 0.313 | 8.247 | 10.881 | 0.000 | 0.002 |
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 | 248 | 0 | 276 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.11 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.440 | 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 | B | F | F(-2) | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 248 | 416 | 216 | 625 | 0 | 0 | 0 | 395 | 0 |
N.S. |
1 | 1.68 | 0.87 | 2.52 | 0.00 | 0.00 | 0.00 | 1.59 | 0.00 |
time (sec) |
N/A | 0.829 | 0.605 | 0.171 | 0.000 | 0.000 | 0.000 | 0.738 | 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 | 249 | 114 | 95 | 60 | 107 | 64 | 97 | 77 | 76 |
N.S. |
1 | 0.46 | 0.38 | 0.24 | 0.43 | 0.26 | 0.39 | 0.31 | 0.31 |
time (sec) |
N/A | 0.253 | 0.238 | 0.746 | 0.267 | 0.240 | 0.327 | 0.300 | 6.457 |
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 | 249 | 269 | 223 | 126 | 0 | 357 | 0 | 100 | 0 |
N.S. |
1 | 1.08 | 0.90 | 0.51 | 0.00 | 1.43 | 0.00 | 0.40 | 0.00 |
time (sec) |
N/A | 0.690 | 0.408 | 0.753 | 0.000 | 0.257 | 0.000 | 0.320 | 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 | 249 | 270 | 223 | 124 | 0 | 194 | 0 | 100 | 0 |
N.S. |
1 | 1.08 | 0.90 | 0.50 | 0.00 | 0.78 | 0.00 | 0.40 | 0.00 |
time (sec) |
N/A | 0.527 | 0.399 | 0.347 | 0.000 | 0.242 | 0.000 | 0.334 | 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 | 249 | 0 | 0 | 254 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 1.02 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 1.293 | 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 | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 249 | 161 | 142 | 0 | 0 | 1810 | 0 | 0 | 0 |
N.S. |
1 | 0.65 | 0.57 | 0.00 | 0.00 | 7.27 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.581 | 0.389 | 0.000 | 0.000 | 265.387 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 250 | 121 | 139 | 110 | 0 | 169 | 0 | 0 | 0 |
N.S. |
1 | 0.48 | 0.56 | 0.44 | 0.00 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.224 | 0.147 | 2.045 | 0.000 | 0.260 | 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 | 250 | 0 | 218 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.87 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 9.724 | 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 | 250 | 0 | 242 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 17.705 | 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 | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 250 | 89 | 205 | 210 | 0 | 103 | 0 | 0 | 60 |
N.S. |
1 | 0.36 | 0.82 | 0.84 | 0.00 | 0.41 | 0.00 | 0.00 | 0.24 |
time (sec) |
N/A | 0.847 | 0.407 | 0.554 | 0.000 | 0.295 | 0.000 | 0.000 | 7.255 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 250 | 97 | 199 | 65 | 0 | 103 | 0 | 0 | 60 |
N.S. |
1 | 0.39 | 0.80 | 0.26 | 0.00 | 0.41 | 0.00 | 0.00 | 0.24 |
time (sec) |
N/A | 0.823 | 0.345 | 0.366 | 0.000 | 0.279 | 0.000 | 0.000 | 7.167 |
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 | 250 | 0 | 247 | 128 | 24 | 0 | 24 | 24 | 27 |
N.S. |
1 | 0.00 | 0.99 | 0.51 | 0.10 | 0.00 | 0.10 | 0.10 | 0.11 |
time (sec) |
N/A | 0.000 | 0.154 | 0.343 | 0.314 | 0.000 | 37.193 | 0.431 | 6.502 |
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 | 250 | 0 | 247 | 128 | 24 | 0 | 24 | 24 | 27 |
N.S. |
1 | 0.00 | 0.99 | 0.51 | 0.10 | 0.00 | 0.10 | 0.10 | 0.11 |
time (sec) |
N/A | 0.000 | 0.001 | 0.278 | 0.315 | 0.000 | 37.106 | 0.432 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | B | B | F | A | F(-1) | F | F(-1) |
verified |
N/A | N/A | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 250 | 0 | 57413 | 943 | 0 | 6425 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 229.65 | 3.77 | 0.00 | 25.70 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 6.607 | 8.219 | 0.000 | 34.261 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 251 | 0 | 268 | 238 | 28 | 0 | 24 | 28 | 27 |
N.S. |
1 | 0.00 | 1.07 | 0.95 | 0.11 | 0.00 | 0.10 | 0.11 | 0.11 |
time (sec) |
N/A | 0.000 | 0.777 | 0.689 | 0.223 | 0.000 | 9.616 | 0.929 | 6.696 |
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 | 251 | 0 | 268 | 238 | 28 | 0 | 24 | 28 | 27 |
N.S. |
1 | 0.00 | 1.07 | 0.95 | 0.11 | 0.00 | 0.10 | 0.11 | 0.11 |
time (sec) |
N/A | 0.000 | 0.015 | 0.471 | 0.212 | 0.000 | 9.622 | 0.925 | 0.002 |
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 | 251 | 0 | 398 | 296 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.59 | 1.18 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.158 | 0.345 | 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 | 252 | 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 | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 252 | 0 | 175 | 196 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.69 | 0.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.377 | 0.308 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 252 | 0 | 252 | 145 | 28 | 0 | 26 | 28 | 31 |
N.S. |
1 | 0.00 | 1.00 | 0.58 | 0.11 | 0.00 | 0.10 | 0.11 | 0.12 |
time (sec) |
N/A | 0.000 | 0.150 | 0.047 | 0.330 | 0.000 | 162.265 | 0.440 | 7.040 |
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 | 252 | 0 | 252 | 145 | 28 | 0 | 26 | 28 | 31 |
N.S. |
1 | 0.00 | 1.00 | 0.58 | 0.11 | 0.00 | 0.10 | 0.11 | 0.12 |
time (sec) |
N/A | 0.000 | 0.001 | 0.047 | 0.314 | 0.000 | 159.505 | 0.432 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | C | C | F | B | F | F | F(-1) |
verified |
N/A | N/A | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 253 | 0 | 144 | 10924 | 0 | 1084 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.57 | 43.18 | 0.00 | 4.28 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.047 | 6.930 | 0.000 | 0.885 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 254 | 413 | 265 | 202 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.63 | 1.04 | 0.80 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.197 | 1.109 | 34.846 | 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 | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 254 | 413 | 263 | 201 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.63 | 1.04 | 0.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.142 | 1.016 | 34.947 | 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 | 254 | 0 | 229 | 378 | 36 | 361 | 32 | 36 | 36 |
N.S. |
1 | 0.00 | 0.90 | 1.49 | 0.14 | 1.42 | 0.13 | 0.14 | 0.14 |
time (sec) |
N/A | 0.000 | 0.199 | 8.589 | 0.322 | 0.364 | 2.217 | 0.317 | 6.715 |
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 | 254 | 0 | 229 | 378 | 36 | 361 | 32 | 36 | 36 |
N.S. |
1 | 0.00 | 0.90 | 1.49 | 0.14 | 1.42 | 0.13 | 0.14 | 0.14 |
time (sec) |
N/A | 0.000 | 0.001 | 4.087 | 0.301 | 0.360 | 2.232 | 0.311 | 0.003 |
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 | 254 | 505 | 247 | 243 | 0 | 521 | 0 | 0 | 0 |
N.S. |
1 | 1.99 | 0.97 | 0.96 | 0.00 | 2.05 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.192 | 0.529 | 23.470 | 0.000 | 3.769 | 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) | B |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 254 | 0 | 242 | 0 | 0 | 255 | 0 | 0 | 99 |
N.S. |
1 | 0.00 | 0.95 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.39 |
time (sec) |
N/A | 0.000 | 0.876 | 0.000 | 0.000 | 0.360 | 0.000 | 0.000 | 7.456 |
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 | 255 | 349 | 256 | 244 | 0 | 468 | 0 | 238 | 0 |
N.S. |
1 | 1.37 | 1.00 | 0.96 | 0.00 | 1.84 | 0.00 | 0.93 | 0.00 |
time (sec) |
N/A | 0.782 | 0.700 | 15.514 | 0.000 | 0.275 | 0.000 | 0.428 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 255 | 89 | 91 | 0 | 0 | 498 | 0 | 0 | 0 |
N.S. |
1 | 0.35 | 0.36 | 0.00 | 0.00 | 1.95 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.522 | 0.248 | 0.000 | 0.000 | 0.261 | 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 | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 255 | 0 | 177 | 186 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.69 | 0.73 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.337 | 0.282 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 255 | 0 | 287 | 36 | 109 | 0 | 54 | 37 | 38 |
N.S. |
1 | 0.00 | 1.13 | 0.14 | 0.43 | 0.00 | 0.21 | 0.15 | 0.15 |
time (sec) |
N/A | 0.000 | 0.297 | 0.023 | 0.328 | 0.000 | 8.062 | 0.452 | 8.671 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F | F(-1) | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 255 | 0 | 219 | 288 | 0 | 374 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.86 | 1.13 | 0.00 | 1.47 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.093 | 0.171 | 0.000 | 0.370 | 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 | 256 | 0 | 199 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 20.686 | 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 | 256 | 0 | 197 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.77 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 13.835 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 257 | 380 | 268 | 210 | 0 | 1633 | 0 | 248 | 0 |
N.S. |
1 | 1.48 | 1.04 | 0.82 | 0.00 | 6.35 | 0.00 | 0.96 | 0.00 |
time (sec) |
N/A | 1.064 | 0.779 | 18.218 | 0.000 | 23.411 | 0.000 | 0.390 | 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 | 257 | 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 | N/A | N/A | C | N/A | F(-2) | N/A |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 257 | 1274 | 281 | 237 | 24 | 1164 | 34 | 0 | 24 |
N.S. |
1 | 4.96 | 1.09 | 0.92 | 0.09 | 4.53 | 0.13 | 0.00 | 0.09 |
time (sec) |
N/A | 2.038 | 0.465 | 0.719 | 0.302 | 0.326 | 0.763 | 0.000 | 6.579 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | C | N/A | F(-1) | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 257 | 0 | 257 | 36 | 38 | 5201 | 39 | 0 | 38 |
N.S. |
1 | 0.00 | 1.00 | 0.14 | 0.15 | 20.24 | 0.15 | 0.00 | 0.15 |
time (sec) |
N/A | 0.000 | 0.241 | 0.022 | 0.583 | 1.115 | 1.993 | 0.000 | 6.644 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | C | N/A | F(-1) | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 257 | 0 | 257 | 36 | 38 | 5201 | 39 | 0 | 38 |
N.S. |
1 | 0.00 | 1.00 | 0.14 | 0.15 | 20.24 | 0.15 | 0.00 | 0.15 |
time (sec) |
N/A | 0.000 | 0.001 | 0.000 | 0.600 | 1.131 | 2.025 | 0.000 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | A | F | F(-1) | B |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 257 | 0 | 235 | 0 | 0 | 758 | 0 | 0 | 99 |
N.S. |
1 | 0.00 | 0.91 | 0.00 | 0.00 | 2.95 | 0.00 | 0.00 | 0.39 |
time (sec) |
N/A | 0.000 | 0.580 | 0.000 | 0.000 | 0.409 | 0.000 | 0.000 | 7.691 |
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 | 258 | 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 | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 258 | 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 | F(-1) | F(-1) | N/A | B |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 258 | 948 | 297 | 180 | 250 | 0 | 0 | 40 | 423 |
N.S. |
1 | 3.67 | 1.15 | 0.70 | 0.97 | 0.00 | 0.00 | 0.16 | 1.64 |
time (sec) |
N/A | 1.581 | 0.136 | 0.128 | 0.307 | 0.000 | 0.000 | 0.375 | 6.669 |
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 | 259 | 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 | 259 | 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 | F(-1) | F(-2) | B |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 260 | 0 | 274 | 67 | 44 | 201 | 0 | 0 | 475 |
N.S. |
1 | 0.00 | 1.05 | 0.26 | 0.17 | 0.77 | 0.00 | 0.00 | 1.83 |
time (sec) |
N/A | 0.000 | 0.315 | 1.171 | 0.311 | 0.288 | 0.000 | 0.000 | 10.592 |
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 | 261 | 432 | 392 | 276 | 0 | 476 | 0 | 261 | 0 |
N.S. |
1 | 1.66 | 1.50 | 1.06 | 0.00 | 1.82 | 0.00 | 1.00 | 0.00 |
time (sec) |
N/A | 1.389 | 1.320 | 16.247 | 0.000 | 0.303 | 0.000 | 0.402 | 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 | 261 | 0 | 222 | 38 | 0 | 1349 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.85 | 0.15 | 0.00 | 5.17 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 8.575 | 16.041 | 0.000 | 36.565 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 261 | 325 | 261 | 0 | 0 | 1174 | 0 | 0 | 0 |
N.S. |
1 | 1.25 | 1.00 | 0.00 | 0.00 | 4.50 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.539 | 0.721 | 0.000 | 0.000 | 0.295 | 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 | 261 | 0 | 261 | 0 | 0 | 657 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.00 | 0.00 | 2.52 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.714 | 0.000 | 0.000 | 7.016 | 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 | 262 | 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 | B | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 262 | 0 | 216 | 271 | 0 | 4887 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.82 | 1.03 | 0.00 | 18.65 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.634 | 3.762 | 0.000 | 1.979 | 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 | 262 | 0 | 262 | 0 | 0 | 658 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.00 | 0.00 | 2.51 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.550 | 0.000 | 0.000 | 6.972 | 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 | 263 | 0 | 157 | 134 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.60 | 0.51 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 13.611 | 0.345 | 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 | A | F(-1) | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 263 | 163 | 250 | 0 | 209 | 0 | 80 | 0 | 165 |
N.S. |
1 | 0.62 | 0.95 | 0.00 | 0.79 | 0.00 | 0.30 | 0.00 | 0.63 |
time (sec) |
N/A | 0.363 | 5.195 | 0.000 | 0.274 | 0.000 | 1.481 | 0.000 | 7.706 |
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 | 263 | 350 | 177 | 412 | 0 | 131 | 0 | 0 | 0 |
N.S. |
1 | 1.33 | 0.67 | 1.57 | 0.00 | 0.50 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.171 | 1.582 | 3.590 | 0.000 | 2.860 | 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 | 265 | 0 | 218 | 271 | 0 | 4886 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.82 | 1.02 | 0.00 | 18.44 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.580 | 3.258 | 0.000 | 2.114 | 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 | 265 | 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(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 265 | 209 | 255 | 260 | 0 | 552 | 0 | 0 | 0 |
N.S. |
1 | 0.79 | 0.96 | 0.98 | 0.00 | 2.08 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.820 | 0.661 | 6.987 | 0.000 | 3.824 | 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 | F(-1) | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 265 | 0 | 274 | 203 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.03 | 0.77 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.902 | 0.147 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 266 | 134 | 207 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.50 | 0.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.247 | 1.484 | 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 | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 266 | 0 | 291 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.09 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 18.643 | 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 | 266 | 0 | 181 | 32 | 34 | 914 | 34 | 33 | 34 |
N.S. |
1 | 0.00 | 0.68 | 0.12 | 0.13 | 3.44 | 0.13 | 0.12 | 0.13 |
time (sec) |
N/A | 0.000 | 0.214 | 0.030 | 0.600 | 0.325 | 1.660 | 123.219 | 7.515 |
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 | 266 | 0 | 181 | 32 | 34 | 914 | 34 | 33 | 34 |
N.S. |
1 | 0.00 | 0.68 | 0.12 | 0.13 | 3.44 | 0.13 | 0.12 | 0.13 |
time (sec) |
N/A | 0.000 | 0.004 | 0.001 | 0.612 | 0.349 | 1.680 | 125.381 | 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 | 267 | 168 | 174 | 0 | 0 | 715 | 0 | 0 | 0 |
N.S. |
1 | 0.63 | 0.65 | 0.00 | 0.00 | 2.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.664 | 0.208 | 0.000 | 0.000 | 0.300 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | N/A | N/A | C | N/A | F(-1) | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 267 | 44 | 304 | 1303 | 56 | 452 | 56 | 0 | 56 |
N.S. |
1 | 0.16 | 1.14 | 4.88 | 0.21 | 1.69 | 0.21 | 0.00 | 0.21 |
time (sec) |
N/A | 1.117 | 0.499 | 1.330 | 0.281 | 0.594 | 16.513 | 0.000 | 8.067 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | C | C | F | F(-1) | F | F(-1) | F(-1) |
verified |
N/A | N/A | No | No | TBD | TBD | TBD | TBD | TBD |
size | 267 | 0 | 52633 | 7274 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 197.13 | 27.24 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 16.868 | 2.627 | 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 | F(-1) | F(-1) | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 267 | 0 | 416 | 41 | 41 | 6469 | 0 | 0 | 41 |
N.S. |
1 | 0.00 | 1.56 | 0.15 | 0.15 | 24.23 | 0.00 | 0.00 | 0.15 |
time (sec) |
N/A | 0.000 | 0.485 | 0.021 | 0.896 | 1.327 | 0.000 | 0.000 | 8.574 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | C | F(-1) | F(-1) | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 267 | 0 | 416 | 41 | 41 | 6469 | 0 | 0 | 41 |
N.S. |
1 | 0.00 | 1.56 | 0.15 | 0.15 | 24.23 | 0.00 | 0.00 | 0.15 |
time (sec) |
N/A | 0.000 | 0.001 | 0.001 | 0.926 | 1.250 | 0.000 | 0.000 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 268 | 0 | 237 | 214 | 0 | 2407 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.88 | 0.80 | 0.00 | 8.98 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 15.899 | 1.417 | 0.000 | 3.557 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | C | C | F | A | F | A | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 268 | 0 | 144 | 87 | 0 | 167 | 0 | 1 | 0 |
N.S. |
1 | 0.00 | 0.54 | 0.32 | 0.00 | 0.62 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.155 | 0.369 | 0.000 | 0.294 | 0.000 | 0.465 | 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 | 269 | 45 | 25 | 18 | 64 | 54 | 162 | 133 | 49 |
N.S. |
1 | 0.17 | 0.09 | 0.07 | 0.24 | 0.20 | 0.60 | 0.49 | 0.18 |
time (sec) |
N/A | 0.146 | 0.029 | 0.267 | 0.181 | 0.272 | 2.703 | 0.278 | 7.368 |
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 | 269 | 0 | 163 | 149 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.61 | 0.55 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 13.980 | 0.826 | 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 | 269 | 347 | 256 | 244 | 0 | 492 | 0 | 260 | 0 |
N.S. |
1 | 1.29 | 0.95 | 0.91 | 0.00 | 1.83 | 0.00 | 0.97 | 0.00 |
time (sec) |
N/A | 0.791 | 0.737 | 15.667 | 0.000 | 0.312 | 0.000 | 0.401 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | F(-1) | C | N/A |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 269 | 757 | 223 | 190 | 39 | 0 | 0 | 1404 | 39 |
N.S. |
1 | 2.81 | 0.83 | 0.71 | 0.14 | 0.00 | 0.00 | 5.22 | 0.14 |
time (sec) |
N/A | 4.957 | 0.446 | 0.210 | 1.324 | 0.000 | 0.000 | 37.740 | 7.297 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | F(-1) | C | N/A |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 269 | 757 | 223 | 190 | 39 | 0 | 0 | 1404 | 39 |
N.S. |
1 | 2.81 | 0.83 | 0.71 | 0.14 | 0.00 | 0.00 | 5.22 | 0.14 |
time (sec) |
N/A | 5.001 | 0.007 | 0.202 | 1.355 | 0.000 | 0.000 | 38.582 | 0.003 |
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 | 269 | 0 | 168 | 0 | 0 | 152 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.62 | 0.00 | 0.00 | 0.57 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.396 | 0.000 | 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 | F(-1) | F(-1) | A | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 270 | 0 | 198 | 142 | 0 | 0 | 0 | 289 | 0 |
N.S. |
1 | 0.00 | 0.73 | 0.53 | 0.00 | 0.00 | 0.00 | 1.07 | 0.00 |
time (sec) |
N/A | 0.000 | 10.028 | 0.725 | 0.000 | 0.000 | 0.000 | 0.603 | 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 | 270 | 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 | F(-1) | F(-1) | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 270 | 1308 | 271 | 137 | 42 | 0 | 0 | 42 | 44 |
N.S. |
1 | 4.84 | 1.00 | 0.51 | 0.16 | 0.00 | 0.00 | 0.16 | 0.16 |
time (sec) |
N/A | 5.714 | 0.700 | 0.420 | 0.227 | 0.000 | 0.000 | 3.654 | 8.673 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | F(-1) | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 270 | 1308 | 271 | 137 | 42 | 0 | 0 | 42 | 44 |
N.S. |
1 | 4.84 | 1.00 | 0.51 | 0.16 | 0.00 | 0.00 | 0.16 | 0.16 |
time (sec) |
N/A | 5.564 | 0.004 | 0.001 | 0.238 | 0.000 | 0.000 | 3.588 | 0.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 270 | 1043 | 276 | 406 | 0 | 754 | 0 | 0 | 0 |
N.S. |
1 | 3.86 | 1.02 | 1.50 | 0.00 | 2.79 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 6.108 | 15.712 | 6.098 | 0.000 | 1.574 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F(-1) | N/A | F(-1) | N/A | F(-2) | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 270 | 0 | 293 | 0 | 24 | 0 | 34 | 0 | 24 |
N.S. |
1 | 0.00 | 1.09 | 0.00 | 0.09 | 0.00 | 0.13 | 0.00 | 0.09 |
time (sec) |
N/A | 0.000 | 0.885 | 180.000 | 0.219 | 0.000 | 1.719 | 0.000 | 7.832 |
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 | 271 | 0 | 135 | 94890 | 62 | 1649 | 107 | 61 | 62 |
N.S. |
1 | 0.00 | 0.50 | 350.15 | 0.23 | 6.08 | 0.39 | 0.23 | 0.23 |
time (sec) |
N/A | 0.000 | 0.096 | 175.572 | 0.308 | 0.346 | 2.773 | 0.320 | 7.181 |
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 | 272 | 0 | 225 | 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 | 11.316 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |