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 | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 28 | 22 | 0 | 0 | 26 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 0.00 | 1.00 | 0.12 | 0.92 |
time (sec) |
N/A | 1.484 | 17.762 | 5.589 | 0.000 | 0.000 | 177.145 | 227.335 | 0.343 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 28 | 22 | 0 | 51 | 0 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 1.96 | 0.00 | 0.12 | 0.92 |
time (sec) |
N/A | 0.260 | 1.673 | 6.594 | 0.000 | 0.255 | 0.000 | 52.532 | 0.367 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 28 | 22 | 0 | 0 | 0 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 0.00 | 0.00 | 0.12 | 0.92 |
time (sec) |
N/A | 0.261 | 4.634 | 5.112 | 0.000 | 0.000 | 0.000 | 122.195 | 0.370 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F(-2) | F(-2) | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 161 | 163 | 139 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.714 | 0.177 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F(-2) | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 155 | 152 | 97 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.63 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.631 | 0.100 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 28 | 22 | 0 | 0 | 24 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 0.00 | 0.92 | 0.12 | 0.92 |
time (sec) |
N/A | 0.262 | 3.621 | 4.796 | 0.000 | 0.000 | 164.288 | 116.350 | 0.339 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 28 | 22 | 0 | 62 | 0 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 2.38 | 0.00 | 0.12 | 0.92 |
time (sec) |
N/A | 0.260 | 2.231 | 11.215 | 0.000 | 0.263 | 0.000 | 55.411 | 0.356 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 28 | 22 | 0 | 0 | 0 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 0.00 | 0.00 | 0.12 | 0.92 |
time (sec) |
N/A | 0.257 | 7.251 | 15.820 | 0.000 | 0.000 | 0.000 | 134.804 | 0.354 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F(-2) | F(-2) | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 350 | 390 | 370 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 1.06 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.517 | 0.474 | 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 | F | F(-2) | F(-2) | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 295 | 344 | 287 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.17 | 0.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.712 | 0.959 | 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 | F | F(-2) | F(-2) | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 293 | 337 | 356 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.15 | 1.22 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.332 | 0.432 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F(-2) | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 337 | 370 | 176 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 0.52 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.317 | 0.211 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 28 | 22 | 0 | 0 | 0 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 0.00 | 0.00 | 0.12 | 0.92 |
time (sec) |
N/A | 0.260 | 5.859 | 3.101 | 0.000 | 0.000 | 0.000 | 129.920 | 0.340 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 24 | 20 | 0 | 22 | 34 | 3 | 22 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 1.00 | 1.55 | 0.14 | 1.00 |
time (sec) |
N/A | 0.194 | 1.014 | 4.520 | 0.000 | 0.250 | 13.747 | 64.261 | 0.693 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 22 | 18 | 0 | 0 | 29 | 3 | 20 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 0.00 | 0.00 | 1.45 | 0.15 | 1.00 |
time (sec) |
N/A | 0.184 | 0.531 | 1.586 | 0.000 | 0.000 | 1.169 | 83.681 | 0.499 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 21 | 17 | 0 | 0 | 29 | 3 | 19 |
N.S. |
1 | 1.00 | 1.11 | 0.89 | 0.00 | 0.00 | 1.53 | 0.16 | 1.00 |
time (sec) |
N/A | 0.170 | 0.077 | 1.186 | 0.000 | 0.000 | 0.755 | 75.741 | 0.522 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 24 | 20 | 0 | 0 | 29 | 3 | 22 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 0.00 | 1.32 | 0.14 | 1.00 |
time (sec) |
N/A | 0.188 | 1.064 | 1.353 | 0.000 | 0.000 | 1.290 | 78.073 | 0.534 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 37 | 58 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 1.54 | 2.42 | 0.12 | 1.00 |
time (sec) |
N/A | 0.214 | 0.742 | 5.321 | 0.000 | 0.247 | 51.809 | 63.974 | 0.563 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 24 | 20 | 0 | 0 | 49 | 3 | 22 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 0.00 | 2.23 | 0.14 | 1.00 |
time (sec) |
N/A | 0.200 | 0.631 | 1.222 | 0.000 | 0.000 | 2.321 | 91.910 | 0.489 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 23 | 19 | 0 | 0 | 49 | 3 | 21 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 0.00 | 0.00 | 2.33 | 0.14 | 1.00 |
time (sec) |
N/A | 0.184 | 0.395 | 1.069 | 0.000 | 0.000 | 1.708 | 85.710 | 0.463 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 0 | 49 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 0.00 | 2.04 | 0.12 | 1.00 |
time (sec) |
N/A | 0.207 | 1.050 | 1.540 | 0.000 | 0.000 | 2.975 | 88.938 | 0.470 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 48 | 80 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 2.00 | 3.33 | 0.12 | 1.00 |
time (sec) |
N/A | 0.218 | 0.519 | 5.385 | 0.000 | 0.249 | 160.005 | 65.116 | 0.557 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 24 | 20 | 0 | 0 | 68 | 3 | 22 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 0.00 | 3.09 | 0.14 | 1.00 |
time (sec) |
N/A | 0.195 | 0.675 | 1.436 | 0.000 | 0.000 | 4.182 | 102.266 | 0.484 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 23 | 19 | 0 | 0 | 68 | 3 | 21 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 0.00 | 0.00 | 3.24 | 0.14 | 1.00 |
time (sec) |
N/A | 0.178 | 0.418 | 1.178 | 0.000 | 0.000 | 3.143 | 97.826 | 0.483 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 0 | 68 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 0.00 | 2.83 | 0.12 | 1.00 |
time (sec) |
N/A | 0.203 | 1.120 | 1.533 | 0.000 | 0.000 | 4.128 | 97.801 | 0.511 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 24 | 29 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 1.00 | 1.21 | 0.12 | 1.00 |
time (sec) |
N/A | 0.219 | 0.594 | 4.301 | 0.000 | 0.254 | 12.119 | 65.275 | 0.624 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 24 | 20 | 0 | 0 | 27 | 3 | 22 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 0.00 | 1.23 | 0.14 | 1.00 |
time (sec) |
N/A | 0.237 | 0.729 | 0.864 | 0.000 | 0.000 | 0.929 | 47.733 | 0.437 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 15 | 0 | 14 | 12 | 14 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 0.00 | 0.88 | 0.75 | 0.88 | 0.88 |
time (sec) |
N/A | 0.173 | 0.005 | 1.002 | 0.000 | 0.234 | 0.698 | 0.288 | 0.405 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 0 | 29 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 0.00 | 1.21 | 0.12 | 1.00 |
time (sec) |
N/A | 0.215 | 0.217 | 0.570 | 0.000 | 0.000 | 1.209 | 47.637 | 0.471 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 39 | 48 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 1.62 | 2.00 | 0.12 | 1.00 |
time (sec) |
N/A | 0.220 | 1.480 | 6.687 | 0.000 | 0.261 | 69.825 | 106.930 | 0.669 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 0 | 48 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 0.00 | 2.00 | 0.12 | 1.00 |
time (sec) |
N/A | 0.216 | 3.130 | 5.458 | 0.000 | 0.000 | 1.800 | 134.140 | 0.515 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 41 | 122 | 38 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.87 | 2.60 | 0.81 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.302 | 0.338 | 1.750 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 31 | 24 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.77 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.321 | 0.070 | 1.343 | 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(-2) | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 41 | 122 | 38 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.87 | 2.60 | 0.81 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.272 | 0.279 | 0.916 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 0 | 48 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 0.00 | 2.00 | 0.12 | 1.00 |
time (sec) |
N/A | 0.212 | 0.728 | 2.166 | 0.000 | 0.000 | 2.443 | 110.084 | 0.542 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 50 | 0 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 2.08 | 0.00 | 0.12 | 1.00 |
time (sec) |
N/A | 0.222 | 1.516 | 6.608 | 0.000 | 0.258 | 0.000 | 155.898 | 0.678 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 0 | 65 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 0.00 | 2.71 | 0.12 | 1.00 |
time (sec) |
N/A | 0.216 | 3.709 | 4.990 | 0.000 | 0.000 | 4.473 | 190.730 | 0.524 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 78 | 230 | 59 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.88 | 2.58 | 0.66 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.340 | 0.496 | 1.439 | 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(-2) | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 71 | 66 | 131 | 47 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.93 | 1.85 | 0.66 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.319 | 0.151 | 1.404 | 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(-2) | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 58 | 53 | 229 | 47 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.91 | 3.95 | 0.81 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.318 | 0.427 | 1.056 | 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(-2) | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 71 | 66 | 133 | 46 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.93 | 1.87 | 0.65 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.305 | 0.119 | 1.230 | 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(-2) | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 78 | 229 | 59 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.88 | 2.57 | 0.66 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.303 | 0.491 | 1.006 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 0 | 65 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 0.00 | 2.71 | 0.12 | 1.00 |
time (sec) |
N/A | 0.214 | 0.955 | 1.886 | 0.000 | 0.000 | 5.511 | 158.514 | 0.535 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | N/A | F(-2) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 28 | 22 | 0 | 24 | 26 | 0 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 0.92 | 1.00 | 0.00 | 0.92 |
time (sec) |
N/A | 0.250 | 1.141 | 7.631 | 0.000 | 0.275 | 24.686 | 0.000 | 0.354 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 20 | 0 | 0 | 24 | 3 | 22 |
N.S. |
1 | 1.00 | 1.08 | 0.83 | 0.00 | 0.00 | 1.00 | 0.12 | 0.92 |
time (sec) |
N/A | 0.220 | 1.995 | 2.906 | 0.000 | 0.000 | 1.755 | 135.756 | 0.346 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 19 | 0 | 0 | 22 | 3 | 21 |
N.S. |
1 | 1.00 | 1.09 | 0.83 | 0.00 | 0.00 | 0.96 | 0.13 | 0.91 |
time (sec) |
N/A | 0.188 | 0.235 | 2.397 | 0.000 | 0.000 | 1.107 | 126.851 | 0.369 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 28 | 22 | 0 | 0 | 24 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 0.00 | 0.92 | 0.12 | 0.92 |
time (sec) |
N/A | 0.245 | 4.424 | 2.654 | 0.000 | 0.000 | 2.090 | 129.141 | 0.350 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | F(-1) | F(-2) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 28 | 22 | 0 | 24 | 0 | 0 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 0.92 | 0.00 | 0.00 | 0.92 |
time (sec) |
N/A | 0.257 | 1.219 | 6.792 | 0.000 | 0.306 | 0.000 | 0.000 | 0.356 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 20 | 0 | 0 | 24 | 3 | 22 |
N.S. |
1 | 1.00 | 1.08 | 0.83 | 0.00 | 0.00 | 1.00 | 0.12 | 0.92 |
time (sec) |
N/A | 0.225 | 3.218 | 2.461 | 0.000 | 0.000 | 47.010 | 168.768 | 0.348 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 19 | 0 | 0 | 22 | 3 | 21 |
N.S. |
1 | 1.00 | 1.09 | 0.83 | 0.00 | 0.00 | 0.96 | 0.13 | 0.91 |
time (sec) |
N/A | 0.189 | 0.318 | 2.443 | 0.000 | 0.000 | 23.363 | 161.231 | 0.358 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 28 | 22 | 0 | 0 | 24 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 0.00 | 0.92 | 0.12 | 0.92 |
time (sec) |
N/A | 0.248 | 5.066 | 2.787 | 0.000 | 0.000 | 21.246 | 163.413 | 0.350 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | F(-1) | F(-2) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 28 | 22 | 0 | 49 | 0 | 0 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 1.88 | 0.00 | 0.00 | 0.92 |
time (sec) |
N/A | 0.251 | 1.456 | 7.094 | 0.000 | 0.264 | 0.000 | 0.000 | 0.385 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 20 | 0 | 0 | 0 | 3 | 22 |
N.S. |
1 | 1.00 | 1.08 | 0.83 | 0.00 | 0.00 | 0.00 | 0.12 | 0.92 |
time (sec) |
N/A | 0.225 | 2.490 | 2.960 | 0.000 | 0.000 | 0.000 | 199.360 | 0.347 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 19 | 0 | 0 | 0 | 3 | 21 |
N.S. |
1 | 1.00 | 1.09 | 0.83 | 0.00 | 0.00 | 0.00 | 0.13 | 0.91 |
time (sec) |
N/A | 0.192 | 0.333 | 2.634 | 0.000 | 0.000 | 0.000 | 191.904 | 0.352 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 28 | 22 | 0 | 0 | 24 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 0.00 | 0.92 | 0.12 | 0.92 |
time (sec) |
N/A | 0.253 | 4.196 | 2.681 | 0.000 | 0.000 | 153.800 | 195.851 | 0.348 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 28 | 22 | 0 | 24 | 26 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 0.92 | 1.00 | 0.12 | 0.92 |
time (sec) |
N/A | 0.248 | 1.162 | 7.540 | 0.000 | 0.279 | 31.093 | 64.145 | 0.364 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 20 | 0 | 0 | 24 | 3 | 22 |
N.S. |
1 | 1.00 | 1.08 | 0.83 | 0.00 | 0.00 | 1.00 | 0.12 | 0.92 |
time (sec) |
N/A | 0.219 | 1.144 | 2.934 | 0.000 | 0.000 | 1.899 | 133.444 | 0.358 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 19 | 0 | 0 | 24 | 3 | 21 |
N.S. |
1 | 1.00 | 1.09 | 0.83 | 0.00 | 0.00 | 1.04 | 0.13 | 0.91 |
time (sec) |
N/A | 0.186 | 0.192 | 3.188 | 0.000 | 0.000 | 2.018 | 133.772 | 0.344 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 28 | 22 | 0 | 0 | 26 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 0.00 | 1.00 | 0.12 | 0.92 |
time (sec) |
N/A | 0.238 | 1.394 | 3.293 | 0.000 | 0.000 | 4.532 | 131.634 | 0.359 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 28 | 22 | 0 | 51 | 0 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 1.96 | 0.00 | 0.12 | 0.92 |
time (sec) |
N/A | 0.254 | 1.407 | 6.564 | 0.000 | 0.277 | 0.000 | 36.978 | 0.354 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 28 | 22 | 0 | 0 | 26 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 0.00 | 1.00 | 0.12 | 0.92 |
time (sec) |
N/A | 0.258 | 12.231 | 3.947 | 0.000 | 0.000 | 8.831 | 102.426 | 0.351 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F(-2) | F(-2) | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 97 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.62 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.423 | 0.139 | 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 | F | F(-2) | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 100 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.67 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.378 | 0.110 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | F(-2) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 28 | 22 | 0 | 0 | 26 | 0 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 0.00 | 1.00 | 0.00 | 0.92 |
time (sec) |
N/A | 0.253 | 1.875 | 2.720 | 0.000 | 0.000 | 25.669 | 0.000 | 0.358 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 28 | 22 | 0 | 62 | 0 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 2.38 | 0.00 | 0.12 | 0.92 |
time (sec) |
N/A | 0.257 | 2.010 | 10.389 | 0.000 | 0.273 | 0.000 | 71.762 | 0.364 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 28 | 22 | 0 | 0 | 26 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 0.00 | 1.00 | 0.12 | 0.92 |
time (sec) |
N/A | 0.256 | 5.067 | 13.657 | 0.000 | 0.000 | 61.957 | 195.645 | 0.367 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F(-2) | F(-2) | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 131 | 99 | 95 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.76 | 0.73 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.517 | 0.335 | 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 | F | F(-2) | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 131 | 99 | 159 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.76 | 1.21 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.507 | 0.190 | 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 | F | F(-2) | F(-2) | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 131 | 99 | 156 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.76 | 1.19 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.448 | 0.207 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F(-2) | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 131 | 99 | 93 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.76 | 0.71 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.419 | 0.090 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | F(-2) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 28 | 22 | 0 | 0 | 26 | 0 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 0.00 | 1.00 | 0.00 | 0.92 |
time (sec) |
N/A | 0.260 | 2.557 | 3.116 | 0.000 | 0.000 | 133.299 | 0.000 | 0.349 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 24 | 20 | 0 | 22 | 34 | 3 | 22 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 1.00 | 1.55 | 0.14 | 1.00 |
time (sec) |
N/A | 0.195 | 0.945 | 4.820 | 0.000 | 0.247 | 33.824 | 62.976 | 0.872 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | F(-1) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 22 | 18 | 0 | 0 | 29 | 0 | 20 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 0.00 | 0.00 | 1.45 | 0.00 | 1.00 |
time (sec) |
N/A | 0.181 | 0.817 | 1.425 | 0.000 | 0.000 | 1.566 | 0.000 | 0.620 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 21 | 17 | 0 | 0 | 29 | 3 | 19 |
N.S. |
1 | 1.00 | 1.11 | 0.89 | 0.00 | 0.00 | 1.53 | 0.16 | 1.00 |
time (sec) |
N/A | 0.171 | 0.727 | 1.129 | 0.000 | 0.000 | 1.348 | 169.688 | 0.581 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 24 | 20 | 0 | 0 | 29 | 3 | 22 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 0.00 | 1.32 | 0.14 | 1.00 |
time (sec) |
N/A | 0.190 | 1.438 | 1.375 | 0.000 | 0.000 | 2.452 | 234.078 | 0.652 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 37 | 58 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 1.54 | 2.42 | 0.12 | 1.00 |
time (sec) |
N/A | 0.213 | 0.762 | 5.956 | 0.000 | 0.264 | 61.406 | 63.636 | 0.696 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | F(-1) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 24 | 20 | 0 | 0 | 49 | 0 | 22 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 0.00 | 2.23 | 0.00 | 1.00 |
time (sec) |
N/A | 0.195 | 0.917 | 1.404 | 0.000 | 0.000 | 2.456 | 0.000 | 0.571 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 23 | 19 | 0 | 0 | 49 | 3 | 21 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 0.00 | 0.00 | 2.33 | 0.14 | 1.00 |
time (sec) |
N/A | 0.177 | 0.813 | 1.214 | 0.000 | 0.000 | 2.070 | 209.715 | 0.521 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 0 | 49 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 0.00 | 2.04 | 0.12 | 1.00 |
time (sec) |
N/A | 0.205 | 1.543 | 1.444 | 0.000 | 0.000 | 3.181 | 279.869 | 0.543 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 48 | 80 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 2.00 | 3.33 | 0.12 | 1.00 |
time (sec) |
N/A | 0.208 | 0.554 | 6.629 | 0.000 | 0.268 | 176.373 | 65.189 | 0.651 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | F(-1) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 24 | 20 | 0 | 0 | 68 | 0 | 22 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 0.00 | 3.09 | 0.00 | 1.00 |
time (sec) |
N/A | 0.192 | 0.980 | 1.689 | 0.000 | 0.000 | 4.914 | 0.000 | 0.529 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 23 | 19 | 0 | 0 | 68 | 3 | 21 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 0.00 | 0.00 | 3.24 | 0.14 | 1.00 |
time (sec) |
N/A | 0.178 | 0.912 | 1.443 | 0.000 | 0.000 | 3.729 | 252.599 | 0.481 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | F(-1) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 0 | 68 | 0 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 0.00 | 2.83 | 0.00 | 1.00 |
time (sec) |
N/A | 0.203 | 1.667 | 1.509 | 0.000 | 0.000 | 5.202 | 0.000 | 0.549 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 24 | 29 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 1.00 | 1.21 | 0.12 | 1.00 |
time (sec) |
N/A | 0.276 | 0.611 | 4.125 | 0.000 | 0.272 | 56.982 | 63.837 | 0.634 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 24 | 20 | 0 | 0 | 27 | 3 | 22 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 0.00 | 0.00 | 1.23 | 0.14 | 1.00 |
time (sec) |
N/A | 0.234 | 0.671 | 0.786 | 0.000 | 0.000 | 1.451 | 123.750 | 0.458 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 15 | 0 | 14 | 14 | 14 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 0.00 | 0.88 | 0.88 | 0.88 | 0.88 |
time (sec) |
N/A | 0.175 | 0.006 | 0.937 | 0.000 | 0.284 | 1.454 | 0.283 | 0.372 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 0 | 29 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 0.00 | 1.21 | 0.12 | 1.00 |
time (sec) |
N/A | 0.267 | 0.165 | 1.225 | 0.000 | 0.000 | 2.030 | 125.815 | 0.440 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 39 | 0 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 1.62 | 0.00 | 0.12 | 1.00 |
time (sec) |
N/A | 0.212 | 1.228 | 5.885 | 0.000 | 0.264 | 0.000 | 141.277 | 0.664 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | F(-1) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 0 | 48 | 0 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 0.00 | 2.00 | 0.00 | 1.00 |
time (sec) |
N/A | 0.405 | 3.535 | 9.916 | 0.000 | 0.000 | 3.420 | 0.000 | 0.598 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | F(-1) | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 0 | 48 | 0 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 0.00 | 2.00 | 0.00 | 1.00 |
time (sec) |
N/A | 0.733 | 6.013 | 5.506 | 0.000 | 0.000 | 3.832 | 0.000 | 0.546 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | F(-2) | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 60 | 46 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.77 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.475 | 0.345 | 1.701 | 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(-2) | F(-2) | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 138 | 139 | 158 | 47 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 1.14 | 0.34 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.595 | 0.165 | 1.740 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 52 | 47 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.91 | 0.82 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.435 | 0.276 | 2.063 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 0 | 48 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 0.00 | 2.00 | 0.12 | 1.00 |
time (sec) |
N/A | 0.708 | 2.323 | 1.817 | 0.000 | 0.000 | 4.572 | 140.363 | 0.582 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 0 | 49 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 0.00 | 2.04 | 0.12 | 1.00 |
time (sec) |
N/A | 0.414 | 3.435 | 3.329 | 0.000 | 0.000 | 7.744 | 148.206 | 0.591 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 0 | 49 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 0.00 | 2.04 | 0.12 | 1.00 |
time (sec) |
N/A | 0.430 | 6.916 | 2.593 | 0.000 | 0.000 | 10.360 | 148.479 | 0.582 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 0 | 49 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 0.00 | 2.04 | 0.12 | 1.00 |
time (sec) |
N/A | 0.425 | 6.874 | 4.518 | 0.000 | 0.000 | 13.373 | 147.735 | 0.587 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 22 | 0 | 50 | 0 | 3 | 24 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 0.00 | 2.08 | 0.00 | 0.12 | 1.00 |
time (sec) |
N/A | 0.229 | 1.150 | 7.731 | 0.000 | 0.269 | 0.000 | 210.411 | 0.712 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | F(-2) | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 164 | 148 | 86 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.71 | 1.54 | 0.90 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.774 | 0.300 | 2.020 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | C | A | F(-2) | F(-2) | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 67 | 165 | 112 | 53 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 2.46 | 1.67 | 0.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.587 | 0.392 | 1.751 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |