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 | C | C | F | F | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 202 | 234 | 43 | 21 | 0 | 0 | 32 | 0 | 34 |
N.S. |
1 | 1.16 | 0.21 | 0.10 | 0.00 | 0.00 | 0.16 | 0.00 | 0.17 |
time (sec) |
N/A | 0.269 | 4.997 | 2.123 | 0.000 | 0.000 | 0.401 | 0.000 | 4.433 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 223 | 255 | 46 | 23 | 0 | 0 | 36 | 0 | 36 |
N.S. |
1 | 1.14 | 0.21 | 0.10 | 0.00 | 0.00 | 0.16 | 0.00 | 0.16 |
time (sec) |
N/A | 0.286 | 5.110 | 2.161 | 0.000 | 0.000 | 0.433 | 0.000 | 4.630 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 244 | 278 | 48 | 23 | 0 | 0 | 39 | 0 | 0 |
N.S. |
1 | 1.14 | 0.20 | 0.09 | 0.00 | 0.00 | 0.16 | 0.00 | 0.00 |
time (sec) |
N/A | 0.307 | 10.014 | 2.144 | 0.000 | 0.000 | 0.528 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 262 | 301 | 48 | 23 | 0 | 0 | 39 | 0 | 0 |
N.S. |
1 | 1.15 | 0.18 | 0.09 | 0.00 | 0.00 | 0.15 | 0.00 | 0.00 |
time (sec) |
N/A | 0.327 | 10.011 | 2.164 | 0.000 | 0.000 | 0.543 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 138 | 148 | 68 | 42 | 0 | 0 | 31 | 0 | 0 |
N.S. |
1 | 1.07 | 0.49 | 0.30 | 0.00 | 0.00 | 0.22 | 0.00 | 0.00 |
time (sec) |
N/A | 0.227 | 5.496 | 2.200 | 0.000 | 0.000 | 0.481 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 120 | 125 | 63 | 42 | 0 | 0 | 31 | 0 | 0 |
N.S. |
1 | 1.04 | 0.52 | 0.35 | 0.00 | 0.00 | 0.26 | 0.00 | 0.00 |
time (sec) |
N/A | 0.212 | 5.348 | 2.188 | 0.000 | 0.000 | 0.444 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 57 | 42 | 0 | 0 | 31 | 0 | 0 |
N.S. |
1 | 1.00 | 0.56 | 0.41 | 0.00 | 0.00 | 0.30 | 0.00 | 0.00 |
time (sec) |
N/A | 0.193 | 4.993 | 2.194 | 0.000 | 0.000 | 0.444 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 43 | 40 | 0 | 0 | 29 | 0 | 34 |
N.S. |
1 | 1.00 | 0.52 | 0.49 | 0.00 | 0.00 | 0.35 | 0.00 | 0.41 |
time (sec) |
N/A | 0.179 | 4.834 | 2.163 | 0.000 | 0.000 | 0.419 | 0.000 | 0.085 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 104 | 104 | 46 | 42 | 0 | 0 | 29 | 0 | 23 |
N.S. |
1 | 1.00 | 0.44 | 0.40 | 0.00 | 0.00 | 0.28 | 0.00 | 0.22 |
time (sec) |
N/A | 0.197 | 5.216 | 2.197 | 0.000 | 0.000 | 0.503 | 0.000 | 4.691 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 122 | 127 | 48 | 42 | 0 | 0 | 32 | 0 | 0 |
N.S. |
1 | 1.04 | 0.39 | 0.34 | 0.00 | 0.00 | 0.26 | 0.00 | 0.00 |
time (sec) |
N/A | 0.218 | 10.012 | 2.203 | 0.000 | 0.000 | 0.548 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 140 | 150 | 48 | 42 | 0 | 0 | 32 | 0 | 0 |
N.S. |
1 | 1.07 | 0.34 | 0.30 | 0.00 | 0.00 | 0.23 | 0.00 | 0.00 |
time (sec) |
N/A | 0.231 | 10.013 | 2.182 | 0.000 | 0.000 | 0.592 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 139 | 149 | 68 | 23 | 0 | 0 | 36 | 0 | 0 |
N.S. |
1 | 1.07 | 0.49 | 0.17 | 0.00 | 0.00 | 0.26 | 0.00 | 0.00 |
time (sec) |
N/A | 0.230 | 5.859 | 2.186 | 0.000 | 0.000 | 0.490 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 121 | 126 | 63 | 23 | 0 | 0 | 36 | 0 | 0 |
N.S. |
1 | 1.04 | 0.52 | 0.19 | 0.00 | 0.00 | 0.30 | 0.00 | 0.00 |
time (sec) |
N/A | 0.213 | 5.369 | 2.179 | 0.000 | 0.000 | 0.460 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 58 | 23 | 0 | 0 | 36 | 0 | 0 |
N.S. |
1 | 1.00 | 0.56 | 0.22 | 0.00 | 0.00 | 0.35 | 0.00 | 0.00 |
time (sec) |
N/A | 0.198 | 4.941 | 2.150 | 0.000 | 0.000 | 0.461 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 84 | 84 | 43 | 21 | 0 | 0 | 34 | 0 | 34 |
N.S. |
1 | 1.00 | 0.51 | 0.25 | 0.00 | 0.00 | 0.40 | 0.00 | 0.40 |
time (sec) |
N/A | 0.183 | 4.872 | 2.135 | 0.000 | 0.000 | 0.424 | 0.000 | 4.712 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 46 | 23 | 0 | 0 | 34 | 0 | 36 |
N.S. |
1 | 1.00 | 0.44 | 0.22 | 0.00 | 0.00 | 0.32 | 0.00 | 0.34 |
time (sec) |
N/A | 0.196 | 5.289 | 7.854 | 0.000 | 0.000 | 0.500 | 0.000 | 4.868 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 123 | 128 | 48 | 23 | 0 | 0 | 37 | 0 | 0 |
N.S. |
1 | 1.04 | 0.39 | 0.19 | 0.00 | 0.00 | 0.30 | 0.00 | 0.00 |
time (sec) |
N/A | 0.215 | 10.009 | 2.169 | 0.000 | 0.000 | 0.554 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 141 | 151 | 48 | 23 | 0 | 0 | 37 | 0 | 0 |
N.S. |
1 | 1.07 | 0.34 | 0.16 | 0.00 | 0.00 | 0.26 | 0.00 | 0.00 |
time (sec) |
N/A | 0.232 | 10.011 | 2.164 | 0.000 | 0.000 | 0.585 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 152 | 158 | 102 | 0 | 0 | 0 | 46 | 0 | 0 |
N.S. |
1 | 1.04 | 0.67 | 0.00 | 0.00 | 0.00 | 0.30 | 0.00 | 0.00 |
time (sec) |
N/A | 0.332 | 10.083 | 0.000 | 0.000 | 0.000 | 13.311 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 118 | 120 | 85 | 0 | 0 | 0 | 46 | 0 | 0 |
N.S. |
1 | 1.02 | 0.72 | 0.00 | 0.00 | 0.00 | 0.39 | 0.00 | 0.00 |
time (sec) |
N/A | 0.282 | 10.045 | 0.000 | 0.000 | 0.000 | 1.317 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 89 | 92 | 54 | 0 | 0 | 0 | 46 | 0 | 0 |
N.S. |
1 | 1.03 | 0.61 | 0.00 | 0.00 | 0.00 | 0.52 | 0.00 | 0.00 |
time (sec) |
N/A | 0.248 | 10.016 | 0.000 | 0.000 | 0.000 | 0.739 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 94 | 97 | 56 | 0 | 0 | 0 | 32 | 0 | 0 |
N.S. |
1 | 1.03 | 0.60 | 0.00 | 0.00 | 0.00 | 0.34 | 0.00 | 0.00 |
time (sec) |
N/A | 0.251 | 10.017 | 0.000 | 0.000 | 0.000 | 1.884 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 123 | 134 | 56 | 0 | 0 | 0 | 36 | 0 | 0 |
N.S. |
1 | 1.09 | 0.46 | 0.00 | 0.00 | 0.00 | 0.29 | 0.00 | 0.00 |
time (sec) |
N/A | 0.288 | 10.020 | 0.000 | 0.000 | 0.000 | 15.309 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 154 | 174 | 56 | 0 | 0 | 0 | 36 | 0 | 0 |
N.S. |
1 | 1.13 | 0.36 | 0.00 | 0.00 | 0.00 | 0.23 | 0.00 | 0.00 |
time (sec) |
N/A | 0.328 | 10.027 | 0.000 | 0.000 | 0.000 | 146.139 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-1) | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 147 | 158 | 109 | 0 | 0 | 0 | 46 | 0 | 0 |
N.S. |
1 | 1.07 | 0.74 | 0.00 | 0.00 | 0.00 | 0.31 | 0.00 | 0.00 |
time (sec) |
N/A | 0.277 | 0.564 | 0.000 | 0.000 | 0.000 | 4.922 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-1) | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 116 | 121 | 96 | 0 | 0 | 0 | 46 | 0 | 0 |
N.S. |
1 | 1.04 | 0.83 | 0.00 | 0.00 | 0.00 | 0.40 | 0.00 | 0.00 |
time (sec) |
N/A | 0.240 | 0.291 | 0.000 | 0.000 | 0.000 | 1.006 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-1) | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 107 | 119 | 92 | 0 | 0 | 0 | 49 | 0 | 0 |
N.S. |
1 | 1.11 | 0.86 | 0.00 | 0.00 | 0.00 | 0.46 | 0.00 | 0.00 |
time (sec) |
N/A | 0.239 | 0.237 | 0.000 | 0.000 | 0.000 | 1.217 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 26 | 21 | 0 | 25 | 78 | 0 | 37 |
N.S. |
1 | 1.00 | 0.93 | 0.75 | 0.00 | 0.89 | 2.79 | 0.00 | 1.32 |
time (sec) |
N/A | 0.144 | 0.148 | 2.145 | 0.000 | 0.368 | 4.582 | 0.000 | 4.769 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 46 | 31 | 0 | 46 | 124 | 0 | 51 |
N.S. |
1 | 1.00 | 0.81 | 0.54 | 0.00 | 0.81 | 2.18 | 0.00 | 0.89 |
time (sec) |
N/A | 0.167 | 0.180 | 7.816 | 0.000 | 0.286 | 46.353 | 0.000 | 4.742 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 85 | 93 | 47 | 42 | 0 | 57 | 0 | 0 | 65 |
N.S. |
1 | 1.09 | 0.55 | 0.49 | 0.00 | 0.67 | 0.00 | 0.00 | 0.76 |
time (sec) |
N/A | 0.191 | 0.194 | 2.156 | 0.000 | 0.285 | 0.000 | 0.000 | 4.740 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 129 | 58 | 53 | 0 | 68 | 0 | 0 | 79 |
N.S. |
1 | 1.14 | 0.51 | 0.47 | 0.00 | 0.60 | 0.00 | 0.00 | 0.70 |
time (sec) |
N/A | 0.210 | 1.506 | 2.154 | 0.000 | 0.283 | 0.000 | 0.000 | 4.758 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 122 | 126 | 88 | 0 | 0 | 0 | 48 | 0 | 0 |
N.S. |
1 | 1.03 | 0.72 | 0.00 | 0.00 | 0.00 | 0.39 | 0.00 | 0.00 |
time (sec) |
N/A | 0.293 | 10.046 | 0.000 | 0.000 | 0.000 | 1.388 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 92 | 95 | 55 | 0 | 0 | 0 | 39 | 0 | 0 |
N.S. |
1 | 1.03 | 0.60 | 0.00 | 0.00 | 0.00 | 0.42 | 0.00 | 0.00 |
time (sec) |
N/A | 0.252 | 10.016 | 0.000 | 0.000 | 0.000 | 0.757 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 97 | 100 | 57 | 0 | 0 | 0 | 36 | 0 | 0 |
N.S. |
1 | 1.03 | 0.59 | 0.00 | 0.00 | 0.00 | 0.37 | 0.00 | 0.00 |
time (sec) |
N/A | 0.260 | 10.017 | 0.000 | 0.000 | 0.000 | 1.904 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 127 | 138 | 57 | 0 | 0 | 0 | 39 | 0 | 0 |
N.S. |
1 | 1.09 | 0.45 | 0.00 | 0.00 | 0.00 | 0.31 | 0.00 | 0.00 |
time (sec) |
N/A | 0.302 | 10.020 | 0.000 | 0.000 | 0.000 | 15.505 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 159 | 179 | 57 | 0 | 0 | 0 | 39 | 0 | 0 |
N.S. |
1 | 1.13 | 0.36 | 0.00 | 0.00 | 0.00 | 0.25 | 0.00 | 0.00 |
time (sec) |
N/A | 0.333 | 10.014 | 0.000 | 0.000 | 0.000 | 148.439 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-1) | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 343 | 333 | 177 | 0 | 0 | 0 | 48 | 0 | 0 |
N.S. |
1 | 0.97 | 0.52 | 0.00 | 0.00 | 0.00 | 0.14 | 0.00 | 0.00 |
time (sec) |
N/A | 0.535 | 0.768 | 0.000 | 0.000 | 0.000 | 4.868 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-1) | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 307 | 295 | 162 | 0 | 0 | 0 | 48 | 0 | 0 |
N.S. |
1 | 0.96 | 0.53 | 0.00 | 0.00 | 0.00 | 0.16 | 0.00 | 0.00 |
time (sec) |
N/A | 0.474 | 0.391 | 0.000 | 0.000 | 0.000 | 0.984 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-1) | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 296 | 293 | 161 | 0 | 0 | 0 | 51 | 0 | 0 |
N.S. |
1 | 0.99 | 0.54 | 0.00 | 0.00 | 0.00 | 0.17 | 0.00 | 0.00 |
time (sec) |
N/A | 0.471 | 0.349 | 0.000 | 0.000 | 0.000 | 1.235 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 27 | 22 | 0 | 35 | 178 | 0 | 38 |
N.S. |
1 | 1.00 | 0.93 | 0.76 | 0.00 | 1.21 | 6.14 | 0.00 | 1.31 |
time (sec) |
N/A | 0.145 | 0.147 | 2.152 | 0.000 | 0.297 | 4.563 | 0.000 | 4.378 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 48 | 32 | 0 | 46 | 462 | 0 | 51 |
N.S. |
1 | 1.00 | 0.81 | 0.54 | 0.00 | 0.78 | 7.83 | 0.00 | 0.86 |
time (sec) |
N/A | 0.175 | 0.166 | 7.838 | 0.000 | 0.293 | 45.361 | 0.000 | 4.466 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 96 | 48 | 43 | 0 | 58 | 0 | 0 | 65 |
N.S. |
1 | 1.09 | 0.55 | 0.49 | 0.00 | 0.66 | 0.00 | 0.00 | 0.74 |
time (sec) |
N/A | 0.193 | 0.172 | 2.168 | 0.000 | 0.295 | 0.000 | 0.000 | 4.497 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 117 | 133 | 59 | 54 | 0 | 69 | 0 | 0 | 79 |
N.S. |
1 | 1.14 | 0.50 | 0.46 | 0.00 | 0.59 | 0.00 | 0.00 | 0.68 |
time (sec) |
N/A | 0.221 | 1.460 | 2.174 | 0.000 | 0.298 | 0.000 | 0.000 | 4.621 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 117 | 125 | 97 | 0 | 0 | 301 | 44 | 0 | 0 |
N.S. |
1 | 1.07 | 0.83 | 0.00 | 0.00 | 2.57 | 0.38 | 0.00 | 0.00 |
time (sec) |
N/A | 0.230 | 0.287 | 0.000 | 0.000 | 0.279 | 1.218 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 83 | 94 | 65 | 0 | 0 | 240 | 44 | 0 | 0 |
N.S. |
1 | 1.13 | 0.78 | 0.00 | 0.00 | 2.89 | 0.53 | 0.00 | 0.00 |
time (sec) |
N/A | 0.202 | 0.196 | 0.000 | 0.000 | 0.267 | 0.795 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 26 | 21 | 0 | 25 | 36 | 0 | 25 |
N.S. |
1 | 1.00 | 0.93 | 0.75 | 0.00 | 0.89 | 1.29 | 0.00 | 0.89 |
time (sec) |
N/A | 0.145 | 0.159 | 2.153 | 0.000 | 0.270 | 1.727 | 0.000 | 4.953 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 36 | 31 | 0 | 35 | 80 | 0 | 40 |
N.S. |
1 | 1.00 | 0.63 | 0.54 | 0.00 | 0.61 | 1.40 | 0.00 | 0.70 |
time (sec) |
N/A | 0.169 | 0.188 | 7.738 | 0.000 | 0.284 | 20.528 | 0.000 | 4.946 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 85 | 93 | 47 | 42 | 0 | 46 | 0 | 0 | 54 |
N.S. |
1 | 1.09 | 0.55 | 0.49 | 0.00 | 0.54 | 0.00 | 0.00 | 0.64 |
time (sec) |
N/A | 0.189 | 0.203 | 2.158 | 0.000 | 0.281 | 0.000 | 0.000 | 4.942 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 156 | 161 | 87 | 0 | 0 | 0 | 44 | 0 | 0 |
N.S. |
1 | 1.03 | 0.56 | 0.00 | 0.00 | 0.00 | 0.28 | 0.00 | 0.00 |
time (sec) |
N/A | 0.263 | 10.026 | 0.000 | 0.000 | 0.000 | 32.345 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 125 | 123 | 69 | 0 | 0 | 0 | 44 | 0 | 0 |
N.S. |
1 | 0.98 | 0.55 | 0.00 | 0.00 | 0.00 | 0.35 | 0.00 | 0.00 |
time (sec) |
N/A | 0.233 | 10.019 | 0.000 | 0.000 | 0.000 | 3.450 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 83 | 85 | 56 | 0 | 0 | 0 | 44 | 0 | 0 |
N.S. |
1 | 1.02 | 0.67 | 0.00 | 0.00 | 0.00 | 0.53 | 0.00 | 0.00 |
time (sec) |
N/A | 0.204 | 10.013 | 0.000 | 0.000 | 0.000 | 0.572 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 90 | 92 | 54 | 0 | 0 | 0 | 31 | 0 | 0 |
N.S. |
1 | 1.02 | 0.60 | 0.00 | 0.00 | 0.00 | 0.34 | 0.00 | 0.00 |
time (sec) |
N/A | 0.206 | 10.013 | 0.000 | 0.000 | 0.000 | 1.092 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 126 | 132 | 56 | 0 | 0 | 0 | 34 | 0 | 0 |
N.S. |
1 | 1.05 | 0.44 | 0.00 | 0.00 | 0.00 | 0.27 | 0.00 | 0.00 |
time (sec) |
N/A | 0.239 | 10.014 | 0.000 | 0.000 | 0.000 | 6.600 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 157 | 172 | 56 | 0 | 0 | 0 | 34 | 0 | 0 |
N.S. |
1 | 1.10 | 0.36 | 0.00 | 0.00 | 0.00 | 0.22 | 0.00 | 0.00 |
time (sec) |
N/A | 0.269 | 10.014 | 0.000 | 0.000 | 0.000 | 60.709 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | C | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 308 | 291 | 161 | 0 | 0 | 324 | 46 | 0 | 0 |
N.S. |
1 | 0.94 | 0.52 | 0.00 | 0.00 | 1.05 | 0.15 | 0.00 | 0.00 |
time (sec) |
N/A | 0.468 | 0.542 | 0.000 | 0.000 | 0.276 | 1.213 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | C | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 272 | 259 | 125 | 0 | 0 | 262 | 46 | 0 | 0 |
N.S. |
1 | 0.95 | 0.46 | 0.00 | 0.00 | 0.96 | 0.17 | 0.00 | 0.00 |
time (sec) |
N/A | 0.430 | 0.338 | 0.000 | 0.000 | 0.281 | 0.826 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 27 | 22 | 0 | 26 | 88 | 0 | 26 |
N.S. |
1 | 1.00 | 0.93 | 0.76 | 0.00 | 0.90 | 3.03 | 0.00 | 0.90 |
time (sec) |
N/A | 0.141 | 0.177 | 2.174 | 0.000 | 0.281 | 1.825 | 0.000 | 4.989 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 37 | 32 | 0 | 36 | 343 | 0 | 41 |
N.S. |
1 | 1.00 | 0.63 | 0.54 | 0.00 | 0.61 | 5.81 | 0.00 | 0.69 |
time (sec) |
N/A | 0.171 | 0.241 | 7.890 | 0.000 | 0.281 | 20.808 | 0.000 | 4.977 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 96 | 48 | 43 | 0 | 47 | 0 | 0 | 55 |
N.S. |
1 | 1.09 | 0.55 | 0.49 | 0.00 | 0.53 | 0.00 | 0.00 | 0.62 |
time (sec) |
N/A | 0.192 | 0.232 | 2.183 | 0.000 | 0.262 | 0.000 | 0.000 | 5.056 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 128 | 131 | 71 | 0 | 0 | 0 | 46 | 0 | 0 |
N.S. |
1 | 1.02 | 0.55 | 0.00 | 0.00 | 0.00 | 0.36 | 0.00 | 0.00 |
time (sec) |
N/A | 0.250 | 10.024 | 0.000 | 0.000 | 0.000 | 3.159 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 90 | 92 | 57 | 0 | 0 | 0 | 46 | 0 | 0 |
N.S. |
1 | 1.02 | 0.63 | 0.00 | 0.00 | 0.00 | 0.51 | 0.00 | 0.00 |
time (sec) |
N/A | 0.213 | 10.011 | 0.000 | 0.000 | 0.000 | 0.553 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 68 | 70 | 55 | 0 | 0 | 0 | 32 | 0 | 0 |
N.S. |
1 | 1.03 | 0.81 | 0.00 | 0.00 | 0.00 | 0.47 | 0.00 | 0.00 |
time (sec) |
N/A | 0.190 | 10.017 | 0.000 | 0.000 | 0.000 | 1.065 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 100 | 102 | 57 | 0 | 0 | 0 | 39 | 0 | 0 |
N.S. |
1 | 1.02 | 0.57 | 0.00 | 0.00 | 0.00 | 0.39 | 0.00 | 0.00 |
time (sec) |
N/A | 0.220 | 10.014 | 0.000 | 0.000 | 0.000 | 6.468 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 130 | 143 | 57 | 0 | 0 | 0 | 36 | 0 | 0 |
N.S. |
1 | 1.10 | 0.44 | 0.00 | 0.00 | 0.00 | 0.28 | 0.00 | 0.00 |
time (sec) |
N/A | 0.246 | 10.015 | 0.000 | 0.000 | 0.000 | 59.414 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 86 | 89 | 66 | 0 | 0 | 0 | 44 | 0 | 0 |
N.S. |
1 | 1.03 | 0.77 | 0.00 | 0.00 | 0.00 | 0.51 | 0.00 | 0.00 |
time (sec) |
N/A | 0.258 | 10.025 | 0.000 | 0.000 | 0.000 | 1.048 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 66 | 69 | 54 | 0 | 0 | 0 | 31 | 0 | 0 |
N.S. |
1 | 1.05 | 0.82 | 0.00 | 0.00 | 0.00 | 0.47 | 0.00 | 0.00 |
time (sec) |
N/A | 0.231 | 10.010 | 0.000 | 0.000 | 0.000 | 0.936 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 97 | 100 | 56 | 0 | 0 | 0 | 48 | 0 | 0 |
N.S. |
1 | 1.03 | 0.58 | 0.00 | 0.00 | 0.00 | 0.49 | 0.00 | 0.00 |
time (sec) |
N/A | 0.266 | 10.016 | 0.000 | 0.000 | 0.000 | 4.052 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 126 | 140 | 56 | 0 | 0 | 0 | 34 | 0 | 0 |
N.S. |
1 | 1.11 | 0.44 | 0.00 | 0.00 | 0.00 | 0.27 | 0.00 | 0.00 |
time (sec) |
N/A | 0.298 | 10.023 | 0.000 | 0.000 | 0.000 | 43.811 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 157 | 180 | 56 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.15 | 0.36 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.327 | 10.012 | 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(-1) | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 117 | 127 | 97 | 0 | 0 | 0 | 44 | 0 | 0 |
N.S. |
1 | 1.09 | 0.83 | 0.00 | 0.00 | 0.00 | 0.38 | 0.00 | 0.00 |
time (sec) |
N/A | 0.250 | 0.296 | 0.000 | 0.000 | 0.000 | 3.891 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-1) | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 84 | 92 | 67 | 0 | 0 | 0 | 44 | 0 | 0 |
N.S. |
1 | 1.10 | 0.80 | 0.00 | 0.00 | 0.00 | 0.52 | 0.00 | 0.00 |
time (sec) |
N/A | 0.219 | 0.216 | 0.000 | 0.000 | 0.000 | 0.772 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 24 | 21 | 0 | 25 | 36 | 0 | 22 |
N.S. |
1 | 1.00 | 0.92 | 0.81 | 0.00 | 0.96 | 1.38 | 0.00 | 0.85 |
time (sec) |
N/A | 0.148 | 0.188 | 2.163 | 0.000 | 0.312 | 1.435 | 0.000 | 4.755 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 55 | 55 | 34 | 29 | 0 | 35 | 78 | 0 | 40 |
N.S. |
1 | 1.00 | 0.62 | 0.53 | 0.00 | 0.64 | 1.42 | 0.00 | 0.73 |
time (sec) |
N/A | 0.170 | 0.242 | 7.962 | 0.000 | 0.363 | 13.872 | 0.000 | 4.774 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 83 | 89 | 47 | 42 | 0 | 46 | 483 | 0 | 54 |
N.S. |
1 | 1.07 | 0.57 | 0.51 | 0.00 | 0.55 | 5.82 | 0.00 | 0.65 |
time (sec) |
N/A | 0.193 | 0.289 | 2.184 | 0.000 | 0.357 | 119.674 | 0.000 | 4.839 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 91 | 94 | 68 | 0 | 0 | 0 | 46 | 0 | 0 |
N.S. |
1 | 1.03 | 0.75 | 0.00 | 0.00 | 0.00 | 0.51 | 0.00 | 0.00 |
time (sec) |
N/A | 0.259 | 10.022 | 0.000 | 0.000 | 0.000 | 1.096 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F(-1) | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 68 | 71 | 55 | 0 | 0 | 0 | 32 | 0 | 0 |
N.S. |
1 | 1.04 | 0.81 | 0.00 | 0.00 | 0.00 | 0.47 | 0.00 | 0.00 |
time (sec) |
N/A | 0.236 | 10.011 | 0.000 | 0.000 | 0.000 | 0.990 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 100 | 103 | 57 | 0 | 0 | 0 | 39 | 0 | 0 |
N.S. |
1 | 1.03 | 0.57 | 0.00 | 0.00 | 0.00 | 0.39 | 0.00 | 0.00 |
time (sec) |
N/A | 0.273 | 10.012 | 0.000 | 0.000 | 0.000 | 3.987 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 130 | 144 | 57 | 0 | 0 | 0 | 36 | 0 | 0 |
N.S. |
1 | 1.11 | 0.44 | 0.00 | 0.00 | 0.00 | 0.28 | 0.00 | 0.00 |
time (sec) |
N/A | 0.302 | 10.014 | 0.000 | 0.000 | 0.000 | 42.813 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 162 | 185 | 57 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.14 | 0.35 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.337 | 10.014 | 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(-1) | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 308 | 301 | 164 | 0 | 0 | 0 | 46 | 0 | 0 |
N.S. |
1 | 0.98 | 0.53 | 0.00 | 0.00 | 0.00 | 0.15 | 0.00 | 0.00 |
time (sec) |
N/A | 0.490 | 0.570 | 0.000 | 0.000 | 0.000 | 3.829 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-1) | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 272 | 265 | 127 | 0 | 0 | 0 | 46 | 0 | 0 |
N.S. |
1 | 0.97 | 0.47 | 0.00 | 0.00 | 0.00 | 0.17 | 0.00 | 0.00 |
time (sec) |
N/A | 0.445 | 0.368 | 0.000 | 0.000 | 0.000 | 0.767 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 25 | 22 | 0 | 26 | 90 | 0 | 23 |
N.S. |
1 | 1.00 | 0.93 | 0.81 | 0.00 | 0.96 | 3.33 | 0.00 | 0.85 |
time (sec) |
N/A | 0.152 | 0.212 | 2.193 | 0.000 | 0.303 | 1.459 | 0.000 | 4.745 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 35 | 30 | 0 | 34 | 352 | 0 | 41 |
N.S. |
1 | 1.00 | 0.61 | 0.53 | 0.00 | 0.60 | 6.18 | 0.00 | 0.72 |
time (sec) |
N/A | 0.173 | 0.263 | 7.979 | 0.000 | 0.271 | 13.614 | 0.000 | 5.205 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 86 | 92 | 48 | 43 | 0 | 47 | 1263 | 0 | 55 |
N.S. |
1 | 1.07 | 0.56 | 0.50 | 0.00 | 0.55 | 14.69 | 0.00 | 0.64 |
time (sec) |
N/A | 0.198 | 0.315 | 2.182 | 0.000 | 0.263 | 117.104 | 0.000 | 4.821 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 146 | 158 | 131 | 0 | 0 | 400 | 44 | 0 | 0 |
N.S. |
1 | 1.08 | 0.90 | 0.00 | 0.00 | 2.74 | 0.30 | 0.00 | 0.00 |
time (sec) |
N/A | 0.262 | 0.460 | 0.000 | 0.000 | 0.291 | 13.016 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 107 | 120 | 91 | 0 | 0 | 327 | 44 | 0 | 0 |
N.S. |
1 | 1.12 | 0.85 | 0.00 | 0.00 | 3.06 | 0.41 | 0.00 | 0.00 |
time (sec) |
N/A | 0.226 | 0.353 | 0.000 | 0.000 | 0.295 | 2.037 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 24 | 21 | 0 | 31 | 34 | 0 | 29 |
N.S. |
1 | 1.00 | 0.92 | 0.81 | 0.00 | 1.19 | 1.31 | 0.00 | 1.12 |
time (sec) |
N/A | 0.144 | 0.188 | 2.171 | 0.000 | 0.271 | 1.440 | 0.000 | 4.792 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 55 | 55 | 34 | 29 | 0 | 48 | 78 | 0 | 57 |
N.S. |
1 | 1.00 | 0.62 | 0.53 | 0.00 | 0.87 | 1.42 | 0.00 | 1.04 |
time (sec) |
N/A | 0.167 | 0.228 | 7.965 | 0.000 | 0.395 | 7.456 | 0.000 | 4.909 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 83 | 89 | 47 | 42 | 0 | 61 | 384 | 0 | 70 |
N.S. |
1 | 1.07 | 0.57 | 0.51 | 0.00 | 0.73 | 4.63 | 0.00 | 0.84 |
time (sec) |
N/A | 0.188 | 0.385 | 2.208 | 0.000 | 0.324 | 71.119 | 0.000 | 4.975 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 109 | 125 | 58 | 53 | 0 | 72 | 0 | 0 | 85 |
N.S. |
1 | 1.15 | 0.53 | 0.49 | 0.00 | 0.66 | 0.00 | 0.00 | 0.78 |
time (sec) |
N/A | 0.213 | 0.485 | 2.208 | 0.000 | 0.327 | 0.000 | 0.000 | 5.051 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 155 | 168 | 87 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.56 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.270 | 10.031 | 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 | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 124 | 130 | 74 | 0 | 0 | 0 | 44 | 0 | 0 |
N.S. |
1 | 1.05 | 0.60 | 0.00 | 0.00 | 0.00 | 0.35 | 0.00 | 0.00 |
time (sec) |
N/A | 0.243 | 10.031 | 0.000 | 0.000 | 0.000 | 38.945 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 90 | 92 | 60 | 0 | 0 | 0 | 44 | 0 | 0 |
N.S. |
1 | 1.02 | 0.67 | 0.00 | 0.00 | 0.00 | 0.49 | 0.00 | 0.00 |
time (sec) |
N/A | 0.210 | 10.026 | 0.000 | 0.000 | 0.000 | 3.858 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 63 | 65 | 59 | 0 | 0 | 0 | 44 | 0 | 0 |
N.S. |
1 | 1.03 | 0.94 | 0.00 | 0.00 | 0.00 | 0.70 | 0.00 | 0.00 |
time (sec) |
N/A | 0.188 | 10.013 | 0.000 | 0.000 | 0.000 | 1.065 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 93 | 95 | 57 | 0 | 0 | 0 | 48 | 0 | 0 |
N.S. |
1 | 1.02 | 0.61 | 0.00 | 0.00 | 0.00 | 0.52 | 0.00 | 0.00 |
time (sec) |
N/A | 0.213 | 10.014 | 0.000 | 0.000 | 0.000 | 2.941 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 126 | 135 | 59 | 0 | 0 | 0 | 34 | 0 | 0 |
N.S. |
1 | 1.07 | 0.47 | 0.00 | 0.00 | 0.00 | 0.27 | 0.00 | 0.00 |
time (sec) |
N/A | 0.242 | 10.013 | 0.000 | 0.000 | 0.000 | 24.749 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 157 | 175 | 59 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 0.38 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.278 | 10.016 | 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 | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 56 | 0 | 0 | 0 | 44 | 0 | 0 |
N.S. |
1 | 1.00 | 0.97 | 0.00 | 0.00 | 0.00 | 0.76 | 0.00 | 0.00 |
time (sec) |
N/A | 0.175 | 10.014 | 0.000 | 0.000 | 0.000 | 6.035 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 56 | 0 | 0 | 0 | 44 | 0 | 0 |
N.S. |
1 | 1.00 | 0.97 | 0.00 | 0.00 | 0.00 | 0.76 | 0.00 | 0.00 |
time (sec) |
N/A | 0.169 | 10.011 | 0.000 | 0.000 | 0.000 | 1.809 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 56 | 0 | 0 | 0 | 44 | 0 | 0 |
N.S. |
1 | 1.00 | 0.97 | 0.00 | 0.00 | 0.00 | 0.76 | 0.00 | 0.00 |
time (sec) |
N/A | 0.169 | 10.016 | 0.000 | 0.000 | 0.000 | 0.689 | 0.000 | 0.000 |