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 | F | A | F | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 0 | 0 | 45 | 0 | 184 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.96 | 0.00 | 3.91 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 1.628 | 0.000 | 0.346 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F(-1) | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 0 | 67 | 34 | 0 | 60 | 0 | 0 | 72 |
N.S. |
1 | 0.00 | 1.43 | 0.72 | 0.00 | 1.28 | 0.00 | 0.00 | 1.53 |
time (sec) |
N/A | 0.000 | 5.670 | 1.866 | 0.000 | 0.273 | 0.000 | 0.000 | 6.147 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | C | A | B | C | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 25 | 28 | 17 | 23 | 21 | 184 | 23 | 16 |
N.S. |
1 | 0.53 | 0.60 | 0.36 | 0.49 | 0.45 | 3.91 | 0.49 | 0.34 |
time (sec) |
N/A | 0.173 | 0.015 | 0.378 | 0.179 | 0.247 | 0.548 | 0.279 | 5.209 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | A | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 35 | 47 | 51 | 56 | 67 | 49 | 56 | 0 |
N.S. |
1 | 0.74 | 1.00 | 1.09 | 1.19 | 1.43 | 1.04 | 1.19 | 0.00 |
time (sec) |
N/A | 0.306 | 0.065 | 0.131 | 0.280 | 0.529 | 1.847 | 0.288 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 47 | 215 | 41 | 0 | 0 | 28 | 0 | 0 | 0 |
N.S. |
1 | 4.57 | 0.87 | 0.00 | 0.00 | 0.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.427 | 0.068 | 0.000 | 0.000 | 0.239 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 48 | 43 | 121 | 0 | 91 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.90 | 2.52 | 0.00 | 1.90 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.160 | 1.449 | 1.696 | 0.000 | 0.270 | 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 | 48 | 72 | 48 | 37 | 0 | 52 | 0 | 0 | 0 |
N.S. |
1 | 1.50 | 1.00 | 0.77 | 0.00 | 1.08 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.597 | 0.411 | 1.826 | 0.000 | 0.269 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 0 | 48 | 75 | 0 | 49 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 1.56 | 0.00 | 1.02 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.384 | 2.053 | 0.000 | 0.304 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 79 | 73 | 30 | 0 | 65 | 0 | 45 | 0 |
N.S. |
1 | 1.65 | 1.52 | 0.62 | 0.00 | 1.35 | 0.00 | 0.94 | 0.00 |
time (sec) |
N/A | 0.321 | 0.222 | 2.223 | 0.000 | 0.258 | 0.000 | 0.279 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | C | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 109 | 38 | 36 | 0 | 44 | 0 | 46 | 99 |
N.S. |
1 | 2.27 | 0.79 | 0.75 | 0.00 | 0.92 | 0.00 | 0.96 | 2.06 |
time (sec) |
N/A | 0.309 | 0.944 | 0.836 | 0.000 | 0.233 | 0.000 | 0.268 | 5.882 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | B | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 0 | 32 | 169 | 0 | 150 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.67 | 3.52 | 0.00 | 3.12 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 10.365 | 2.832 | 0.000 | 0.322 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 75 | 203 | 38 | 0 | 43 | 0 | 0 | 53 |
N.S. |
1 | 1.56 | 4.23 | 0.79 | 0.00 | 0.90 | 0.00 | 0.00 | 1.10 |
time (sec) |
N/A | 1.209 | 10.133 | 1.221 | 0.000 | 0.249 | 0.000 | 0.000 | 5.785 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | C | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 81 | 47 | 40 | 109 | 42 | 143 | 62 | 0 |
N.S. |
1 | 1.69 | 0.98 | 0.83 | 2.27 | 0.88 | 2.98 | 1.29 | 0.00 |
time (sec) |
N/A | 0.195 | 0.147 | 1.071 | 0.187 | 0.244 | 7.487 | 0.305 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | C | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 81 | 47 | 40 | 109 | 42 | 136 | 62 | 0 |
N.S. |
1 | 1.69 | 0.98 | 0.83 | 2.27 | 0.88 | 2.83 | 1.29 | 0.00 |
time (sec) |
N/A | 0.188 | 0.111 | 1.112 | 0.182 | 0.240 | 4.216 | 0.308 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 71 | 47 | 32 | 109 | 42 | 65 | 56 | 0 |
N.S. |
1 | 1.48 | 0.98 | 0.67 | 2.27 | 0.88 | 1.35 | 1.17 | 0.00 |
time (sec) |
N/A | 0.175 | 0.136 | 1.059 | 0.170 | 0.253 | 6.773 | 0.292 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | A | F | C | F | F | F(-1) |
verified |
N/A | N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 0 | 0 | 59 | 0 | 419 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 1.23 | 0.00 | 8.73 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 2.751 | 0.000 | 0.647 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | A | F | C | F | F | F(-1) |
verified |
N/A | N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 0 | 0 | 63 | 0 | 334 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 1.31 | 0.00 | 6.96 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 2.724 | 0.000 | 0.655 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 0 | 48 | 59 | 0 | 58 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 1.23 | 0.00 | 1.21 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.083 | 0.813 | 0.000 | 0.264 | 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 | 49 | 0 | 70 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.43 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.851 | 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 | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 0 | 49 | 47 | 0 | 88 | 0 | 0 | 235 |
N.S. |
1 | 0.00 | 1.00 | 0.96 | 0.00 | 1.80 | 0.00 | 0.00 | 4.80 |
time (sec) |
N/A | 0.000 | 0.298 | 3.776 | 0.000 | 0.284 | 0.000 | 0.000 | 6.020 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 49 | 54 | 45 | 33 | 72 | 62 | 36 | 60 | 0 |
N.S. |
1 | 1.10 | 0.92 | 0.67 | 1.47 | 1.27 | 0.73 | 1.22 | 0.00 |
time (sec) |
N/A | 0.183 | 0.147 | 1.958 | 0.261 | 0.270 | 0.581 | 0.274 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 54 | 45 | 17 | 72 | 62 | 31 | 59 | 0 |
N.S. |
1 | 1.10 | 0.92 | 0.35 | 1.47 | 1.27 | 0.63 | 1.20 | 0.00 |
time (sec) |
N/A | 0.181 | 0.145 | 1.911 | 0.268 | 0.270 | 0.548 | 0.259 | 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 | 49 | 57 | 74 | 48 | 0 | 51 | 0 | 57 | 0 |
N.S. |
1 | 1.16 | 1.51 | 0.98 | 0.00 | 1.04 | 0.00 | 1.16 | 0.00 |
time (sec) |
N/A | 0.217 | 0.205 | 3.170 | 0.000 | 0.293 | 0.000 | 0.293 | 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 | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 49 | 244 | 80 | 44 | 70 | 1477 | 19 | 19 | 19 |
N.S. |
1 | 4.98 | 1.63 | 0.90 | 1.43 | 30.14 | 0.39 | 0.39 | 0.39 |
time (sec) |
N/A | 0.421 | 0.215 | 50.776 | 0.291 | 3.005 | 0.975 | 0.317 | 5.573 |
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 | 49 | 0 | 49 | 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 | 0.807 | 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 | A | F(-1) | F | B |
verified |
N/A | N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 0 | 0 | 45 | 0 | 180 | 0 | 0 | 55 |
N.S. |
1 | 0.00 | 0.00 | 0.92 | 0.00 | 3.67 | 0.00 | 0.00 | 1.12 |
time (sec) |
N/A | 0.000 | 0.000 | 1.379 | 0.000 | 0.307 | 0.000 | 0.000 | 6.128 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | A | A | A | F(-2) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 129 | 51 | 40 | 35 | 51 | 56 | 0 | 35 |
N.S. |
1 | 2.63 | 1.04 | 0.82 | 0.71 | 1.04 | 1.14 | 0.00 | 0.71 |
time (sec) |
N/A | 0.230 | 0.117 | 1.304 | 0.280 | 0.268 | 1.770 | 0.000 | 6.321 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F(-1) | N/A | F(-1) | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 49 | 0 | 0 | 0 | 33 | 0 | 0 | 32 | 31 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.67 | 0.00 | 0.00 | 0.65 | 0.63 |
time (sec) |
N/A | 0.000 | 0.000 | 0.000 | 0.241 | 0.000 | 0.000 | 0.327 | 6.163 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F(-1) | N/A | F(-1) | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 49 | 0 | 0 | 0 | 33 | 0 | 0 | 32 | 31 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.67 | 0.00 | 0.00 | 0.65 | 0.63 |
time (sec) |
N/A | 0.000 | 0.000 | 0.000 | 0.232 | 0.000 | 0.000 | 0.322 | 0.003 |
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 | 49 | 0 | 49 | 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 | 10.779 | 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 | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 0 | 42 | 61 | 0 | 357 | 0 | 0 | 98 |
N.S. |
1 | 0.00 | 0.86 | 1.24 | 0.00 | 7.29 | 0.00 | 0.00 | 2.00 |
time (sec) |
N/A | 0.000 | 2.759 | 2.233 | 0.000 | 0.347 | 0.000 | 0.000 | 14.451 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | C | F | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 0 | 42 | 68 | 0 | 437 | 0 | 0 | 311 |
N.S. |
1 | 0.00 | 0.86 | 1.39 | 0.00 | 8.92 | 0.00 | 0.00 | 6.35 |
time (sec) |
N/A | 0.000 | 4.913 | 2.333 | 0.000 | 0.376 | 0.000 | 0.000 | 22.498 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | C | F | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 0 | 42 | 72 | 0 | 431 | 0 | 0 | 309 |
N.S. |
1 | 0.00 | 0.86 | 1.47 | 0.00 | 8.80 | 0.00 | 0.00 | 6.31 |
time (sec) |
N/A | 0.000 | 5.110 | 2.254 | 0.000 | 0.354 | 0.000 | 0.000 | 22.649 |
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 | 49 | 0 | 49 | 20 | 0 | 51 | 32 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.41 | 0.00 | 1.04 | 0.65 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.104 | 0.078 | 0.000 | 0.704 | 0.442 | 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 | 50 | 83 | 66 | 48 | 0 | 48 | 0 | 56 | 0 |
N.S. |
1 | 1.66 | 1.32 | 0.96 | 0.00 | 0.96 | 0.00 | 1.12 | 0.00 |
time (sec) |
N/A | 0.259 | 0.141 | 3.387 | 0.000 | 0.289 | 0.000 | 0.274 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 50 | 121 | 38 | 40 | 0 | 46 | 0 | 91 | 113 |
N.S. |
1 | 2.42 | 0.76 | 0.80 | 0.00 | 0.92 | 0.00 | 1.82 | 2.26 |
time (sec) |
N/A | 0.327 | 1.194 | 0.871 | 0.000 | 0.274 | 0.000 | 0.282 | 6.486 |
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 | 50 | 77 | 50 | 35 | 0 | 42 | 0 | 0 | 0 |
N.S. |
1 | 1.54 | 1.00 | 0.70 | 0.00 | 0.84 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.222 | 0.100 | 1.037 | 0.000 | 0.265 | 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 | 50 | 77 | 50 | 35 | 0 | 42 | 0 | 0 | 0 |
N.S. |
1 | 1.54 | 1.00 | 0.70 | 0.00 | 0.84 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.220 | 0.094 | 1.037 | 0.000 | 0.272 | 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 | 50 | 397 | 50 | 45 | 36 | 0 | 0 | 36 | 39 |
N.S. |
1 | 7.94 | 1.00 | 0.90 | 0.72 | 0.00 | 0.00 | 0.72 | 0.78 |
time (sec) |
N/A | 1.196 | 0.692 | 1.064 | 0.232 | 0.000 | 0.000 | 0.933 | 6.298 |
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 | 50 | 397 | 50 | 45 | 36 | 0 | 0 | 36 | 39 |
N.S. |
1 | 7.94 | 1.00 | 0.90 | 0.72 | 0.00 | 0.00 | 0.72 | 0.78 |
time (sec) |
N/A | 0.915 | 0.001 | 0.966 | 0.241 | 0.000 | 0.000 | 0.932 | 0.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F(-1) | N/A | C | F(-1) | F(-2) | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 50 | 0 | 91 | 0 | 37 | 1281 | 0 | 0 | 37 |
N.S. |
1 | 0.00 | 1.82 | 0.00 | 0.74 | 25.62 | 0.00 | 0.00 | 0.74 |
time (sec) |
N/A | 0.000 | 5.263 | 0.000 | 0.259 | 25.440 | 0.000 | 0.000 | 6.365 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 50 | 41 | 31 | 55 | 0 | 28 | 197 | 0 | 0 |
N.S. |
1 | 0.82 | 0.62 | 1.10 | 0.00 | 0.56 | 3.94 | 0.00 | 0.00 |
time (sec) |
N/A | 0.162 | 0.066 | 0.052 | 0.000 | 0.273 | 0.602 | 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 | 50 | 0 | 50 | 22 | 0 | 43 | 37 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.44 | 0.00 | 0.86 | 0.74 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.096 | 0.105 | 0.000 | 0.831 | 0.557 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 51 | 62 | 44 | 55 | 57 | 104 | 41 | 186 | 34 |
N.S. |
1 | 1.22 | 0.86 | 1.08 | 1.12 | 2.04 | 0.80 | 3.65 | 0.67 |
time (sec) |
N/A | 0.182 | 0.052 | 2.166 | 0.271 | 0.261 | 0.520 | 0.261 | 5.837 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | B | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 51 | 0 | 51 | 70 | 0 | 91 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 1.37 | 0.00 | 1.78 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.398 | 1.224 | 0.000 | 0.277 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 47 | 39 | 0 | 38 | 46 | 38 | 38 |
N.S. |
1 | 1.00 | 0.92 | 0.76 | 0.00 | 0.75 | 0.90 | 0.75 | 0.75 |
time (sec) |
N/A | 0.199 | 0.043 | 1.293 | 0.000 | 0.240 | 7.411 | 0.268 | 6.124 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 51 | 0 | 51 | 47 | 0 | 75 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.92 | 0.00 | 1.47 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.533 | 4.175 | 0.000 | 0.316 | 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 | 51 | 0 | 51 | 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 | 1.009 | 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 | C | F | B | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 51 | 0 | 0 | 1014 | 0 | 331 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 19.88 | 0.00 | 6.49 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 11.056 | 0.000 | 62.290 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 51 | 0 | 51 | 37 | 0 | 45 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.73 | 0.00 | 0.88 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.324 | 0.806 | 0.000 | 0.857 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | A | C | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 51 | 0 | 51 | 0 | 0 | 43 | 34 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.00 | 0.00 | 0.84 | 0.67 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.081 | 0.000 | 0.000 | 0.871 | 0.692 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | A | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 51 | 97 | 48 | 54 | 71 | 106 | 88 | 71 | 0 |
N.S. |
1 | 1.90 | 0.94 | 1.06 | 1.39 | 2.08 | 1.73 | 1.39 | 0.00 |
time (sec) |
N/A | 0.572 | 0.081 | 0.187 | 0.259 | 0.310 | 3.813 | 0.270 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | C | F | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 52 | 0 | 45 | 62 | 0 | 95 | 0 | 65 | 39 |
N.S. |
1 | 0.00 | 0.87 | 1.19 | 0.00 | 1.83 | 0.00 | 1.25 | 0.75 |
time (sec) |
N/A | 0.000 | 0.108 | 3.084 | 0.000 | 0.273 | 0.000 | 0.309 | 6.363 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 52 | 68 | 52 | 82 | 74 | 65 | 32 | 60 | 45 |
N.S. |
1 | 1.31 | 1.00 | 1.58 | 1.42 | 1.25 | 0.62 | 1.15 | 0.87 |
time (sec) |
N/A | 0.190 | 0.068 | 1.861 | 0.283 | 0.263 | 1.415 | 0.258 | 5.956 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 52 | 71 | 48 | 58 | 72 | 63 | 34 | 58 | 45 |
N.S. |
1 | 1.37 | 0.92 | 1.12 | 1.38 | 1.21 | 0.65 | 1.12 | 0.87 |
time (sec) |
N/A | 0.180 | 0.057 | 1.742 | 0.267 | 0.260 | 1.076 | 0.263 | 6.119 |
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 | 52 | 62 | 52 | 41 | 63 | 103 | 88 | 50 | 68 |
N.S. |
1 | 1.19 | 1.00 | 0.79 | 1.21 | 1.98 | 1.69 | 0.96 | 1.31 |
time (sec) |
N/A | 0.187 | 0.054 | 0.829 | 0.270 | 0.263 | 4.844 | 0.262 | 6.572 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 52 | 167 | 54 | 45 | 0 | 55 | 0 | 0 | 0 |
N.S. |
1 | 3.21 | 1.04 | 0.87 | 0.00 | 1.06 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.271 | 0.138 | 1.257 | 0.000 | 0.246 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | A | F | A | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 52 | 163 | 77 | 46 | 0 | 55 | 0 | 49 | 47 |
N.S. |
1 | 3.13 | 1.48 | 0.88 | 0.00 | 1.06 | 0.00 | 0.94 | 0.90 |
time (sec) |
N/A | 0.462 | 0.225 | 3.308 | 0.000 | 0.305 | 0.000 | 0.308 | 6.327 |
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 | 52 | 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 | C | F(-1) | F | B |
verified |
N/A | N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 52 | 0 | 0 | 65 | 0 | 405 | 0 | 0 | 134 |
N.S. |
1 | 0.00 | 0.00 | 1.25 | 0.00 | 7.79 | 0.00 | 0.00 | 2.58 |
time (sec) |
N/A | 0.000 | 0.000 | 2.505 | 0.000 | 0.336 | 0.000 | 0.000 | 9.339 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | C | F(-1) | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 52 | 0 | 47 | 69 | 0 | 357 | 0 | 0 | 103 |
N.S. |
1 | 0.00 | 0.90 | 1.33 | 0.00 | 6.87 | 0.00 | 0.00 | 1.98 |
time (sec) |
N/A | 0.000 | 11.166 | 2.448 | 0.000 | 0.348 | 0.000 | 0.000 | 8.755 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | A | F | C | F | F | F(-1) |
verified |
N/A | N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 52 | 0 | 0 | 65 | 0 | 429 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 1.25 | 0.00 | 8.25 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 2.658 | 0.000 | 0.641 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | A | F | C | F | F | F(-1) |
verified |
N/A | N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 52 | 0 | 0 | 73 | 0 | 348 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 1.40 | 0.00 | 6.69 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 2.591 | 0.000 | 0.691 | 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 | 53 | 56 | 57 | 48 | 0 | 60 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 1.08 | 0.91 | 0.00 | 1.13 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.180 | 0.077 | 1.333 | 0.000 | 0.235 | 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 | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 53 | 0 | 53 | 57 | 0 | 112 | 0 | 0 | 76 |
N.S. |
1 | 0.00 | 1.00 | 1.08 | 0.00 | 2.11 | 0.00 | 0.00 | 1.43 |
time (sec) |
N/A | 0.000 | 0.844 | 2.973 | 0.000 | 0.297 | 0.000 | 0.000 | 6.262 |
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 | 53 | 62 | 53 | 41 | 63 | 103 | 88 | 50 | 68 |
N.S. |
1 | 1.17 | 1.00 | 0.77 | 1.19 | 1.94 | 1.66 | 0.94 | 1.28 |
time (sec) |
N/A | 0.192 | 0.060 | 0.849 | 0.272 | 0.262 | 5.216 | 0.259 | 5.606 |
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 | 53 | 149 | 46 | 43 | 0 | 61 | 0 | 0 | 0 |
N.S. |
1 | 2.81 | 0.87 | 0.81 | 0.00 | 1.15 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.371 | 0.224 | 2.230 | 0.000 | 0.288 | 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 | 53 | 53 | 44 | 62 | 0 | 61 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.83 | 1.17 | 0.00 | 1.15 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.169 | 0.187 | 1.432 | 0.000 | 0.284 | 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 | 53 | 86 | 68 | 48 | 0 | 49 | 0 | 53 | 0 |
N.S. |
1 | 1.62 | 1.28 | 0.91 | 0.00 | 0.92 | 0.00 | 1.00 | 0.00 |
time (sec) |
N/A | 0.237 | 0.185 | 2.651 | 0.000 | 0.270 | 0.000 | 0.282 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 53 | 90 | 80 | 17 | 0 | 95 | 0 | 47 | 29 |
N.S. |
1 | 1.70 | 1.51 | 0.32 | 0.00 | 1.79 | 0.00 | 0.89 | 0.55 |
time (sec) |
N/A | 0.202 | 0.160 | 3.581 | 0.000 | 0.596 | 0.000 | 0.256 | 5.592 |
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 | 53 | 743 | 53 | 45 | 0 | 65 | 0 | 0 | 0 |
N.S. |
1 | 14.02 | 1.00 | 0.85 | 0.00 | 1.23 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.737 | 0.683 | 4.875 | 0.000 | 0.283 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | C | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 53 | 175 | 53 | 15 | 0 | 49 | 0 | 73 | 113 |
N.S. |
1 | 3.30 | 1.00 | 0.28 | 0.00 | 0.92 | 0.00 | 1.38 | 2.13 |
time (sec) |
N/A | 0.408 | 0.069 | 0.866 | 0.000 | 0.244 | 0.000 | 0.268 | 5.571 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 53 | 0 | 53 | 92 | 0 | 47 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 1.74 | 0.00 | 0.89 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 4.025 | 1.340 | 0.000 | 0.260 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 44 | 41 | 0 | 144 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.83 | 0.77 | 0.00 | 2.72 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.168 | 0.211 | 3.057 | 0.000 | 4.511 | 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 | 53 | 0 | 0 | 60 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 1.13 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 1.925 | 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 | B | A | C | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 53 | 102 | 52 | 45 | 134 | 47 | 175 | 69 | 0 |
N.S. |
1 | 1.92 | 0.98 | 0.85 | 2.53 | 0.89 | 3.30 | 1.30 | 0.00 |
time (sec) |
N/A | 0.199 | 0.143 | 1.130 | 0.185 | 0.276 | 17.967 | 0.300 | 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 | 53 | 80 | 54 | 43 | 0 | 57 | 0 | 0 | 0 |
N.S. |
1 | 1.51 | 1.02 | 0.81 | 0.00 | 1.08 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.224 | 0.112 | 1.342 | 0.000 | 0.269 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 53 | 371 | 50 | 52 | 0 | 62 | 0 | 0 | 0 |
N.S. |
1 | 7.00 | 0.94 | 0.98 | 0.00 | 1.17 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.311 | 0.227 | 6.286 | 0.000 | 0.304 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 53 | 58 | 53 | 48 | 0 | 47 | 48 | 41 | 41 |
N.S. |
1 | 1.09 | 1.00 | 0.91 | 0.00 | 0.89 | 0.91 | 0.77 | 0.77 |
time (sec) |
N/A | 0.203 | 0.066 | 2.348 | 0.000 | 0.275 | 8.846 | 0.260 | 5.929 |
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 | 53 | 0 | 53 | 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 | 10.656 | 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 | A | A | A | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 53 | 1215 | 53 | 53 | 0 | 65 | 80 | 72 | 775 |
N.S. |
1 | 22.92 | 1.00 | 1.00 | 0.00 | 1.23 | 1.51 | 1.36 | 14.62 |
time (sec) |
N/A | 3.409 | 0.077 | 2.843 | 0.000 | 0.255 | 7.982 | 0.268 | 0.049 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 53 | 314 | 44 | 56 | 0 | 264 | 0 | 0 | 0 |
N.S. |
1 | 5.92 | 0.83 | 1.06 | 0.00 | 4.98 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.872 | 0.260 | 4.530 | 0.000 | 0.343 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 53 | 314 | 44 | 56 | 0 | 264 | 0 | 0 | 0 |
N.S. |
1 | 5.92 | 0.83 | 1.06 | 0.00 | 4.98 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.786 | 0.242 | 3.034 | 0.000 | 0.371 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 53 | 1437 | 44 | 41 | 0 | 296 | 0 | 0 | 0 |
N.S. |
1 | 27.11 | 0.83 | 0.77 | 0.00 | 5.58 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.921 | 0.295 | 4.687 | 0.000 | 0.343 | 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) | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 53 | 421 | 53 | 45 | 39 | 0 | 31 | 39 | 41 |
N.S. |
1 | 7.94 | 1.00 | 0.85 | 0.74 | 0.00 | 0.58 | 0.74 | 0.77 |
time (sec) |
N/A | 1.083 | 0.700 | 1.443 | 0.242 | 0.000 | 65.040 | 1.643 | 5.722 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 53 | 78 | 53 | 22 | 0 | 78 | 44 | 0 | 0 |
N.S. |
1 | 1.47 | 1.00 | 0.42 | 0.00 | 1.47 | 0.83 | 0.00 | 0.00 |
time (sec) |
N/A | 0.216 | 0.099 | 0.143 | 0.000 | 0.266 | 2.037 | 0.000 | 0.000 |
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 | 54 | 94 | 151 | 85 | 0 | 100 | 0 | 0 | 0 |
N.S. |
1 | 1.74 | 2.80 | 1.57 | 0.00 | 1.85 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.610 | 4.035 | 1.572 | 0.000 | 0.385 | 0.000 | 0.000 | 0.000 |
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 | 54 | 95 | 152 | 85 | 0 | 100 | 0 | 0 | 0 |
N.S. |
1 | 1.76 | 2.81 | 1.57 | 0.00 | 1.85 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.582 | 3.923 | 1.001 | 0.000 | 0.404 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 54 | 0 | 37 | 34 | 0 | 234 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.69 | 0.63 | 0.00 | 4.33 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.092 | 6.540 | 0.000 | 0.319 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 54 | 0 | 37 | 34 | 0 | 234 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.69 | 0.63 | 0.00 | 4.33 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.089 | 9.155 | 0.000 | 0.302 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | B | C | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 54 | 70 | 54 | 33 | 83 | 92 | 65 | 70 | 0 |
N.S. |
1 | 1.30 | 1.00 | 0.61 | 1.54 | 1.70 | 1.20 | 1.30 | 0.00 |
time (sec) |
N/A | 0.211 | 0.174 | 4.087 | 0.278 | 1.508 | 1.399 | 0.275 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 54 | 443 | 49 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 8.20 | 0.91 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.798 | 0.181 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 54 | 78 | 68 | 27 | 0 | 73 | 0 | 53 | 0 |
N.S. |
1 | 1.44 | 1.26 | 0.50 | 0.00 | 1.35 | 0.00 | 0.98 | 0.00 |
time (sec) |
N/A | 0.228 | 0.166 | 2.072 | 0.000 | 0.284 | 0.000 | 0.283 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | A | A | A | F(-2) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 54 | 162 | 56 | 44 | 58 | 56 | 63 | 0 | 46 |
N.S. |
1 | 3.00 | 1.04 | 0.81 | 1.07 | 1.04 | 1.17 | 0.00 | 0.85 |
time (sec) |
N/A | 0.249 | 0.115 | 1.992 | 0.302 | 0.260 | 2.007 | 0.000 | 6.282 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 54 | 0 | 54 | 45 | 42 | 0 | 42 | 42 | 42 |
N.S. |
1 | 0.00 | 1.00 | 0.83 | 0.78 | 0.00 | 0.78 | 0.78 | 0.78 |
time (sec) |
N/A | 0.000 | 10.562 | 94.503 | 0.323 | 0.000 | 2.173 | 0.283 | 5.537 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 54 | 0 | 54 | 45 | 42 | 0 | 42 | 42 | 42 |
N.S. |
1 | 0.00 | 1.00 | 0.83 | 0.78 | 0.00 | 0.78 | 0.78 | 0.78 |
time (sec) |
N/A | 0.000 | 0.003 | 80.756 | 0.317 | 0.000 | 1.835 | 0.277 | 0.003 |
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 | 54 | 57 | 70 | 0 | 0 | 65 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 1.30 | 0.00 | 0.00 | 1.20 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.181 | 0.025 | 0.000 | 0.000 | 0.253 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 54 | 61 | 54 | 22 | 0 | 69 | 44 | 0 | 0 |
N.S. |
1 | 1.13 | 1.00 | 0.41 | 0.00 | 1.28 | 0.81 | 0.00 | 0.00 |
time (sec) |
N/A | 0.220 | 0.074 | 0.103 | 0.000 | 0.257 | 1.783 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | C | F(-2) | A | F(-1) | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 55 | 1273 | 42 | 2704 | 0 | 269 | 0 | 0 | 84 |
N.S. |
1 | 23.15 | 0.76 | 49.16 | 0.00 | 4.89 | 0.00 | 0.00 | 1.53 |
time (sec) |
N/A | 3.960 | 15.185 | 1.434 | 0.000 | 0.321 | 0.000 | 0.000 | 8.028 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 55 | 64 | 46 | 55 | 57 | 104 | 41 | 186 | 39 |
N.S. |
1 | 1.16 | 0.84 | 1.00 | 1.04 | 1.89 | 0.75 | 3.38 | 0.71 |
time (sec) |
N/A | 0.183 | 0.055 | 2.977 | 0.276 | 0.258 | 0.569 | 0.260 | 5.739 |