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 | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 107 | 107 | 110 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.324 | 0.057 | 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 | B | A | C | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 199 | 184 | 154 | 143 | 813 | 171 | 1681 | 1275 | 190 |
N.S. |
1 | 0.92 | 0.77 | 0.72 | 4.09 | 0.86 | 8.45 | 6.41 | 0.95 |
time (sec) |
N/A | 0.356 | 0.569 | 1.353 | 0.267 | 0.253 | 6.297 | 0.322 | 28.751 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | C | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 128 | 128 | 86 | 95 | 356 | 89 | 741 | 915 | 95 |
N.S. |
1 | 1.00 | 0.67 | 0.74 | 2.78 | 0.70 | 5.79 | 7.15 | 0.74 |
time (sec) |
N/A | 0.276 | 0.145 | 0.770 | 0.217 | 0.246 | 1.065 | 0.323 | 29.591 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | C | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 48 | 49 | 194 | 49 | 347 | 634 | 50 |
N.S. |
1 | 1.00 | 0.66 | 0.67 | 2.66 | 0.67 | 4.75 | 8.68 | 0.68 |
time (sec) |
N/A | 0.195 | 0.084 | 0.363 | 0.215 | 0.245 | 0.581 | 0.286 | 28.202 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 114 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.41 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.198 | 2.469 | 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 | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 101 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.29 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.203 | 1.308 | 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 | B | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 137 | 152 | 334 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 2.44 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.308 | 8.174 | 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 | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 141 | 155 | 173 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 1.23 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.314 | 2.176 | 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 | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 54 | 59 | 33 | 31 | 37 | 36 | 70 | 35 | 41 |
N.S. |
1 | 1.09 | 0.61 | 0.57 | 0.69 | 0.67 | 1.30 | 0.65 | 0.76 |
time (sec) |
N/A | 0.243 | 0.041 | 0.315 | 0.241 | 0.240 | 0.482 | 0.261 | 26.381 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 107 | 107 | 110 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.318 | 0.050 | 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 | B | A | C | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 199 | 183 | 155 | 144 | 813 | 142 | 1671 | 1271 | 191 |
N.S. |
1 | 0.92 | 0.78 | 0.72 | 4.09 | 0.71 | 8.40 | 6.39 | 0.96 |
time (sec) |
N/A | 0.355 | 0.486 | 1.250 | 0.246 | 0.265 | 6.231 | 0.322 | 28.714 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | C | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 128 | 128 | 85 | 94 | 356 | 78 | 741 | 915 | 98 |
N.S. |
1 | 1.00 | 0.66 | 0.73 | 2.78 | 0.61 | 5.79 | 7.15 | 0.77 |
time (sec) |
N/A | 0.279 | 0.149 | 0.851 | 0.227 | 0.240 | 1.082 | 0.304 | 28.030 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | C | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 47 | 48 | 192 | 48 | 286 | 631 | 48 |
N.S. |
1 | 1.00 | 0.65 | 0.67 | 2.67 | 0.67 | 3.97 | 8.76 | 0.67 |
time (sec) |
N/A | 0.201 | 0.076 | 0.375 | 0.213 | 0.246 | 0.545 | 0.303 | 27.928 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 84 | 84 | 84 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.195 | 0.018 | 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 | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 80 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.204 | 0.016 | 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 | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 141 | 154 | 112 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 0.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.307 | 0.219 | 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 | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 143 | 157 | 111 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 0.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.310 | 0.195 | 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 | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 54 | 59 | 33 | 31 | 37 | 36 | 70 | 35 | 41 |
N.S. |
1 | 1.09 | 0.61 | 0.57 | 0.69 | 0.67 | 1.30 | 0.65 | 0.76 |
time (sec) |
N/A | 0.240 | 0.057 | 0.348 | 0.217 | 0.235 | 0.481 | 0.262 | 27.113 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 194 | 190 | 212 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 1.09 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.422 | 1.619 | 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 | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 130 | 130 | 175 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.35 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.330 | 1.146 | 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 | B | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 166 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.13 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.257 | 0.333 | 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 | B | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 163 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.14 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.258 | 1.212 | 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 | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 126 | 126 | 171 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.36 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.329 | 1.211 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 188 | 184 | 210 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 1.12 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.403 | 1.655 | 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 | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 76 | 78 | 133 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 1.75 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.309 | 0.441 | 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 | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 100 | 126 | 102 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.26 | 1.02 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.350 | 0.102 | 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 | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 102 | 128 | 102 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.25 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.359 | 0.109 | 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 | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 139 | 0 | 143 | 0 | 0 | 130 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.03 | 0.00 | 0.00 | 0.94 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.588 | 0.000 | 0.000 | 0.096 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 23 | 23 | 25 | 26 | 20 | 25 | 25 |
N.S. |
1 | 1.00 | 1.10 | 1.10 | 1.19 | 1.24 | 0.95 | 1.19 | 1.19 |
time (sec) |
N/A | 0.658 | 16.773 | 0.162 | 0.511 | 0.239 | 2.979 | 0.288 | 27.463 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 23 | 25 | 31 | 22 | 25 | 25 |
N.S. |
1 | 1.00 | 1.09 | 1.00 | 1.09 | 1.35 | 0.96 | 1.09 | 1.09 |
time (sec) |
N/A | 0.826 | 14.701 | 0.214 | 0.634 | 0.240 | 2.834 | 0.295 | 28.569 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 28 | 32 | 26 | 0 | 6346 | 27 |
N.S. |
1 | 1.00 | 1.08 | 1.17 | 1.33 | 1.08 | 0.00 | 264.42 | 1.12 |
time (sec) |
N/A | 2.961 | 0.443 | 5.932 | 0.502 | 0.257 | 0.000 | 0.610 | 29.600 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | F | B | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 0 | 24 | 24 | 30 | 24 | 0 | 4746 | 23 |
N.S. |
1 | 0.00 | 1.04 | 1.04 | 1.30 | 1.04 | 0.00 | 206.35 | 1.00 |
time (sec) |
N/A | 0.000 | 0.352 | 5.873 | 0.475 | 0.251 | 0.000 | 0.530 | 28.992 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 22 | 22 | 27 | 22 | 0 | 0 | 21 |
N.S. |
1 | 1.00 | 1.00 | 1.00 | 1.23 | 1.00 | 0.00 | 0.00 | 0.95 |
time (sec) |
N/A | 2.039 | 0.296 | 5.868 | 0.475 | 0.251 | 0.000 | 0.000 | 27.977 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | B | A | A | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 327 | 18 | 18 | 1382 | 18 | 17 | 1941 | 17 |
N.S. |
1 | 19.24 | 1.06 | 1.06 | 81.29 | 1.06 | 1.00 | 114.18 | 1.00 |
time (sec) |
N/A | 0.948 | 0.137 | 0.918 | 0.327 | 0.254 | 0.317 | 0.351 | 27.257 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 17 | 392 | 17 | 15 | 639 | 16 |
N.S. |
1 | 1.00 | 1.00 | 1.06 | 24.50 | 1.06 | 0.94 | 39.94 | 1.00 |
time (sec) |
N/A | 0.168 | 0.026 | 0.725 | 0.269 | 0.254 | 0.147 | 0.314 | 26.961 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 20 | 20 | 564 | 20 | 0 | 0 | 19 |
N.S. |
1 | 1.00 | 1.00 | 1.00 | 28.20 | 1.00 | 0.00 | 0.00 | 0.95 |
time (sec) |
N/A | 1.512 | 0.234 | 0.820 | 0.756 | 0.244 | 0.000 | 0.000 | 27.720 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 20 | 20 | 1069 | 20 | 0 | 0 | 19 |
N.S. |
1 | 1.00 | 1.00 | 1.00 | 53.45 | 1.00 | 0.00 | 0.00 | 0.95 |
time (sec) |
N/A | 1.701 | 0.219 | 0.809 | 1.082 | 0.246 | 0.000 | 0.000 | 27.838 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 63 | 64 | 44 | 45 | 44 | 56 | 325 | 55 | 46 |
N.S. |
1 | 1.02 | 0.70 | 0.71 | 0.70 | 0.89 | 5.16 | 0.87 | 0.73 |
time (sec) |
N/A | 0.244 | 0.116 | 0.529 | 0.215 | 0.249 | 0.768 | 0.260 | 27.145 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 119 | 119 | 74 | 96 | 538 | 109 | 1030 | 98 | 166 |
N.S. |
1 | 1.00 | 0.62 | 0.81 | 4.52 | 0.92 | 8.66 | 0.82 | 1.39 |
time (sec) |
N/A | 0.283 | 0.548 | 0.716 | 0.240 | 0.253 | 2.510 | 0.271 | 27.344 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 82 | 108 | 550 | 135 | 1353 | 111 | 178 |
N.S. |
1 | 1.00 | 0.64 | 0.84 | 4.26 | 1.05 | 10.49 | 0.86 | 1.38 |
time (sec) |
N/A | 0.292 | 0.649 | 0.919 | 0.222 | 0.252 | 7.290 | 0.272 | 28.122 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 119 | 119 | 74 | 99 | 538 | 98 | 1040 | 100 | 167 |
N.S. |
1 | 1.00 | 0.62 | 0.83 | 4.52 | 0.82 | 8.74 | 0.84 | 1.40 |
time (sec) |
N/A | 0.285 | 0.494 | 0.653 | 0.229 | 0.255 | 2.494 | 0.274 | 28.840 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 57 | 60 | 236 | 90 | 850 | 66 | 58 |
N.S. |
1 | 1.00 | 0.72 | 0.76 | 2.99 | 1.14 | 10.76 | 0.84 | 0.73 |
time (sec) |
N/A | 0.255 | 0.298 | 0.729 | 0.212 | 0.239 | 5.577 | 0.270 | 0.488 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 183 | 183 | 110 | 166 | 1148 | 201 | 2958 | 155 | 255 |
N.S. |
1 | 1.00 | 0.60 | 0.91 | 6.27 | 1.10 | 16.16 | 0.85 | 1.39 |
time (sec) |
N/A | 0.339 | 0.754 | 1.207 | 0.265 | 0.251 | 25.823 | 0.289 | 28.581 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 81 | 107 | 550 | 114 | 1357 | 111 | 179 |
N.S. |
1 | 1.00 | 0.63 | 0.83 | 4.26 | 0.88 | 10.52 | 0.86 | 1.39 |
time (sec) |
N/A | 0.285 | 0.552 | 0.832 | 0.232 | 0.245 | 7.378 | 0.273 | 1.092 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 183 | 183 | 110 | 166 | 1144 | 200 | 2751 | 152 | 255 |
N.S. |
1 | 1.00 | 0.60 | 0.91 | 6.25 | 1.09 | 15.03 | 0.83 | 1.39 |
time (sec) |
N/A | 0.334 | 0.744 | 1.174 | 0.250 | 0.253 | 25.944 | 0.274 | 28.849 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 111 | 108 | 550 | 156 | 1991 | 111 | 178 |
N.S. |
1 | 1.00 | 0.86 | 0.84 | 4.26 | 1.21 | 15.43 | 0.86 | 1.38 |
time (sec) |
N/A | 0.302 | 0.786 | 1.683 | 0.220 | 0.261 | 71.619 | 0.277 | 1.255 |
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 | 30 | 30 | 19 | 17 | 17 | 17 | 27 | 16 | 16 |
N.S. |
1 | 1.00 | 0.63 | 0.57 | 0.57 | 0.57 | 0.90 | 0.53 | 0.53 |
time (sec) |
N/A | 0.200 | 0.031 | 0.239 | 0.193 | 0.259 | 0.145 | 0.262 | 26.392 |
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 | 50 | 50 | 25 | 23 | 26 | 26 | 48 | 25 | 21 |
N.S. |
1 | 1.00 | 0.50 | 0.46 | 0.52 | 0.52 | 0.96 | 0.50 | 0.42 |
time (sec) |
N/A | 0.290 | 0.035 | 0.270 | 0.182 | 0.232 | 0.260 | 0.265 | 27.137 |
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 | 30 | 30 | 18 | 16 | 17 | 17 | 27 | 15 | 17 |
N.S. |
1 | 1.00 | 0.60 | 0.53 | 0.57 | 0.57 | 0.90 | 0.50 | 0.57 |
time (sec) |
N/A | 0.204 | 0.024 | 0.246 | 0.196 | 0.257 | 0.144 | 0.269 | 27.901 |
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 | 51 | 51 | 23 | 21 | 26 | 26 | 48 | 24 | 22 |
N.S. |
1 | 1.00 | 0.45 | 0.41 | 0.51 | 0.51 | 0.94 | 0.47 | 0.43 |
time (sec) |
N/A | 0.285 | 0.027 | 0.306 | 0.198 | 0.238 | 0.274 | 0.274 | 0.085 |
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 | 27 | 27 | 22 | 20 | 39 | 21 | 27 | 39 | 19 |
N.S. |
1 | 1.00 | 0.81 | 0.74 | 1.44 | 0.78 | 1.00 | 1.44 | 0.70 |
time (sec) |
N/A | 0.244 | 0.167 | 0.544 | 0.186 | 0.241 | 0.096 | 0.273 | 0.073 |
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 | 41 | 41 | 33 | 28 | 23 | 26 | 32 | 23 | 31 |
N.S. |
1 | 1.00 | 0.80 | 0.68 | 0.56 | 0.63 | 0.78 | 0.56 | 0.76 |
time (sec) |
N/A | 0.171 | 0.056 | 0.387 | 0.201 | 0.238 | 0.175 | 0.271 | 27.973 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 82 | 81 | 64 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 0.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.342 | 3.103 | 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 | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 82 | 79 | 64 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 0.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.330 | 3.015 | 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 | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 80 | 77 | 68 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 0.85 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.316 | 0.695 | 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 | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 78 | 75 | 66 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 0.85 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.322 | 0.564 | 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 | A | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 43 | 42 | 37 | 30 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.62 | 0.61 | 0.54 | 0.43 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.220 | 0.025 | 0.197 | 0.184 | 0.246 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 47 | 44 | 38 | 32 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.72 | 0.68 | 0.58 | 0.49 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.217 | 0.023 | 0.209 | 0.201 | 0.241 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 81 | 52 | 51 | 45 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.64 | 0.63 | 0.56 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.242 | 0.072 | 0.257 | 0.240 | 0.251 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 82 | 54 | 52 | 46 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.06 | 0.70 | 0.68 | 0.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.228 | 0.074 | 0.283 | 0.190 | 0.244 | 0.000 | 0.000 | 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 | 35 | 39 | 24 | 22 | 29 | 29 | 29 | 21 | 21 |
N.S. |
1 | 1.11 | 0.69 | 0.63 | 0.83 | 0.83 | 0.83 | 0.60 | 0.60 |
time (sec) |
N/A | 0.255 | 0.050 | 0.341 | 0.197 | 0.235 | 0.928 | 0.279 | 0.110 |
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 | 6 | 6 | 6 | 6 | 5 | 5 | 5 | 5 | 5 |
N.S. |
1 | 1.00 | 1.00 | 1.00 | 0.83 | 0.83 | 0.83 | 0.83 | 0.83 |
time (sec) |
N/A | 0.170 | 0.013 | 0.176 | 0.198 | 0.227 | 0.119 | 0.261 | 27.651 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 5 | 5 | 21 | 5 | 19 | 21 | 0 | 17 | 43 |
N.S. |
1 | 1.00 | 4.20 | 1.00 | 3.80 | 4.20 | 0.00 | 3.40 | 8.60 |
time (sec) |
N/A | 0.185 | 0.022 | 0.530 | 0.190 | 0.257 | 0.000 | 0.269 | 0.439 |
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 | 4 | 4 | 4 | 4 | 3 | 3 | 3 | 3 | 3 |
N.S. |
1 | 1.00 | 1.00 | 1.00 | 0.75 | 0.75 | 0.75 | 0.75 | 0.75 |
time (sec) |
N/A | 0.165 | 0.012 | 0.184 | 0.186 | 0.236 | 0.102 | 0.267 | 27.695 |
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 | 10 | 10 | 10 | 8 | 7 | 7 | 7 | 7 | 7 |
N.S. |
1 | 1.00 | 1.00 | 0.80 | 0.70 | 0.70 | 0.70 | 0.70 | 0.70 |
time (sec) |
N/A | 0.177 | 0.012 | 0.188 | 0.186 | 0.235 | 0.102 | 0.268 | 0.066 |
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 | 10 | 10 | 10 | 8 | 7 | 7 | 10 | 7 | 7 |
N.S. |
1 | 1.00 | 1.00 | 0.80 | 0.70 | 0.70 | 1.00 | 0.70 | 0.70 |
time (sec) |
N/A | 0.176 | 0.011 | 1.501 | 0.192 | 0.234 | 0.187 | 0.266 | 0.048 |
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 | 13 | 13 | 13 | 11 | 10 | 10 | 12 | 10 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.85 | 0.77 | 0.77 | 0.92 | 0.77 | 0.77 |
time (sec) |
N/A | 0.218 | 0.016 | 1.444 | 0.190 | 0.239 | 2.924 | 0.254 | 27.234 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 34 | 30 | 25 | 24 | 42 | 0 | 24 | 24 |
N.S. |
1 | 1.13 | 1.00 | 0.83 | 0.80 | 1.40 | 0.00 | 0.80 | 0.80 |
time (sec) |
N/A | 0.217 | 0.108 | 0.877 | 0.186 | 0.251 | 0.000 | 0.269 | 0.491 |
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 | 7 | 7 | 7 | 7 | 4 | 12 | 10 | 7 | 10 |
N.S. |
1 | 1.00 | 1.00 | 1.00 | 0.57 | 1.71 | 1.43 | 1.00 | 1.43 |
time (sec) |
N/A | 0.180 | 0.012 | 0.084 | 0.200 | 0.242 | 0.101 | 0.261 | 27.551 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 5 | 5 | 5 | 9 | 8 | 19 | 10 | 29 | 10 |
N.S. |
1 | 1.00 | 1.00 | 1.80 | 1.60 | 3.80 | 2.00 | 5.80 | 2.00 |
time (sec) |
N/A | 0.176 | 0.006 | 0.185 | 0.205 | 0.240 | 0.478 | 0.272 | 27.972 |
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 | 4 | 4 | 4 | 4 | 5 | 5 | 3 | 5 | 5 |
N.S. |
1 | 1.00 | 1.00 | 1.00 | 1.25 | 1.25 | 0.75 | 1.25 | 1.25 |
time (sec) |
N/A | 0.185 | 0.010 | 0.191 | 0.208 | 0.229 | 0.167 | 0.256 | 0.100 |
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 | 6 | 6 | 6 | 6 | 7 | 10 | 5 | 7 | 13 |
N.S. |
1 | 1.00 | 1.00 | 1.00 | 1.17 | 1.67 | 0.83 | 1.17 | 2.17 |
time (sec) |
N/A | 0.189 | 0.017 | 0.858 | 0.226 | 0.250 | 0.400 | 0.263 | 28.306 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 27 | 27 | 28 | 30 | 114 | 35 | 26 |
N.S. |
1 | 1.00 | 0.73 | 0.73 | 0.76 | 0.81 | 3.08 | 0.95 | 0.70 |
time (sec) |
N/A | 0.179 | 0.053 | 0.349 | 0.207 | 0.249 | 0.246 | 0.254 | 0.128 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 108 | 88 | 100 | 260 | 0 | 127 | 0 |
N.S. |
1 | 1.00 | 0.94 | 0.77 | 0.87 | 2.26 | 0.00 | 1.10 | 0.00 |
time (sec) |
N/A | 0.286 | 0.147 | 0.322 | 0.225 | 0.243 | 0.000 | 0.279 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 144 | 144 | 134 | 119 | 131 | 229 | 0 | 147 | 0 |
N.S. |
1 | 1.00 | 0.93 | 0.83 | 0.91 | 1.59 | 0.00 | 1.02 | 0.00 |
time (sec) |
N/A | 0.377 | 0.187 | 0.355 | 0.213 | 0.250 | 0.000 | 0.272 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 81 | 52 | 51 | 45 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.64 | 0.63 | 0.56 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.232 | 0.007 | 0.175 | 0.208 | 0.243 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 129 | 62 | 137 | 82 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.48 | 0.71 | 1.57 | 0.94 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.263 | 0.197 | 0.319 | 0.218 | 0.256 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 155 | 155 | 165 | 129 | 475 | 161 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.06 | 0.83 | 3.06 | 1.04 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.370 | 0.444 | 0.356 | 0.242 | 0.258 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 142 | 142 | 132 | 116 | 147 | 265 | 0 | 300 | 0 |
N.S. |
1 | 1.00 | 0.93 | 0.82 | 1.04 | 1.87 | 0.00 | 2.11 | 0.00 |
time (sec) |
N/A | 0.371 | 0.187 | 0.425 | 0.232 | 0.251 | 0.000 | 0.338 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 157 | 157 | 156 | 139 | 186 | 270 | 0 | 521 | 0 |
N.S. |
1 | 1.00 | 0.99 | 0.89 | 1.18 | 1.72 | 0.00 | 3.32 | 0.00 |
time (sec) |
N/A | 0.367 | 0.875 | 0.808 | 0.300 | 0.247 | 0.000 | 0.323 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 298 | 298 | 268 | 239 | 302 | 525 | 0 | 595 | 0 |
N.S. |
1 | 1.00 | 0.90 | 0.80 | 1.01 | 1.76 | 0.00 | 2.00 | 0.00 |
time (sec) |
N/A | 0.544 | 0.794 | 1.342 | 0.308 | 0.258 | 0.000 | 0.386 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 162 | 162 | 162 | 156 | 190 | 313 | 0 | 378 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.96 | 1.17 | 1.93 | 0.00 | 2.33 | 0.00 |
time (sec) |
N/A | 0.474 | 0.394 | 0.445 | 0.241 | 0.250 | 0.000 | 0.338 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 179 | 179 | 244 | 179 | 240 | 326 | 0 | 599 | 0 |
N.S. |
1 | 1.00 | 1.36 | 1.00 | 1.34 | 1.82 | 0.00 | 3.35 | 0.00 |
time (sec) |
N/A | 0.483 | 0.887 | 0.904 | 0.331 | 0.255 | 0.000 | 0.366 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 340 | 340 | 323 | 319 | 377 | 629 | 0 | 751 | 0 |
N.S. |
1 | 1.00 | 0.95 | 0.94 | 1.11 | 1.85 | 0.00 | 2.21 | 0.00 |
time (sec) |
N/A | 0.794 | 1.141 | 1.612 | 0.328 | 0.262 | 0.000 | 0.457 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 151 | 151 | 119 | 123 | 206 | 144 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.79 | 0.81 | 1.36 | 0.95 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.372 | 0.120 | 0.378 | 0.237 | 0.239 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 171 | 171 | 132 | 145 | 236 | 161 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.77 | 0.85 | 1.38 | 0.94 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.397 | 0.195 | 0.596 | 0.239 | 0.273 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 301 | 301 | 224 | 246 | 412 | 282 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.74 | 0.82 | 1.37 | 0.94 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.530 | 0.338 | 1.298 | 0.258 | 0.257 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 107 | 170 | 84 | 209 | 107 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.59 | 0.79 | 1.95 | 1.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.358 | 0.373 | 0.392 | 0.241 | 0.247 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 188 | 107 | 315 | 169 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.34 | 0.76 | 2.25 | 1.21 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.398 | 0.626 | 0.590 | 0.218 | 0.260 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 213 | 213 | 386 | 166 | 661 | 317 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.81 | 0.78 | 3.10 | 1.49 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.540 | 1.770 | 1.241 | 0.237 | 0.271 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 187 | 187 | 216 | 169 | 760 | 299 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.16 | 0.90 | 4.06 | 1.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.544 | 0.720 | 0.428 | 0.231 | 0.265 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 211 | 211 | 251 | 191 | 863 | 363 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.19 | 0.91 | 4.09 | 1.72 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.583 | 1.763 | 0.694 | 0.246 | 0.262 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 377 | 377 | 490 | 338 | 2175 | 713 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.30 | 0.90 | 5.77 | 1.89 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.854 | 5.136 | 1.587 | 0.282 | 0.290 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 176 | 176 | 155 | 172 | 354 | 178 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.88 | 0.98 | 2.01 | 1.01 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.487 | 0.271 | 0.359 | 0.248 | 0.251 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 231 | 231 | 204 | 218 | 399 | 224 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.88 | 0.94 | 1.73 | 0.97 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.539 | 0.482 | 0.609 | 0.254 | 0.265 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 354 | 354 | 391 | 344 | 680 | 346 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.10 | 0.97 | 1.92 | 0.98 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.681 | 0.716 | 1.381 | 0.273 | 0.260 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 193 | 193 | 230 | 180 | 647 | 309 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.19 | 0.93 | 3.35 | 1.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.549 | 0.755 | 0.439 | 0.234 | 0.269 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | B | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 245 | 245 | 299 | 227 | 997 | 402 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.22 | 0.93 | 4.07 | 1.64 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.625 | 2.235 | 0.658 | 0.244 | 0.265 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 386 | 386 | 3291 | 358 | 2451 | 731 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 8.53 | 0.93 | 6.35 | 1.89 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.822 | 6.726 | 1.467 | 0.308 | 0.288 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 212 | 212 | 347 | 216 | 1007 | 375 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.64 | 1.02 | 4.75 | 1.77 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.717 | 2.019 | 0.455 | 0.251 | 0.260 | 0.000 | 0.000 | 0.000 |