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 | A | F | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 26 | 15 | 15 | 0 | 14 | 15 | 14 | 15 |
N.S. |
1 | 1.53 | 0.88 | 0.88 | 0.00 | 0.82 | 0.88 | 0.82 | 0.88 |
time (sec) |
N/A | 0.405 | 0.114 | 1.457 | 0.000 | 0.275 | 0.160 | 0.275 | 15.191 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 35 | 23 | 22 | 28 | 20 | 26 | 0 | 19 |
N.S. |
1 | 1.21 | 0.79 | 0.76 | 0.97 | 0.69 | 0.90 | 0.00 | 0.66 |
time (sec) |
N/A | 0.399 | 0.037 | 2.401 | 0.332 | 0.278 | 0.580 | 0.000 | 14.698 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 91 | 23 | 22 | 22 | 23 | 20 | 23 | 23 |
N.S. |
1 | 4.55 | 1.15 | 1.10 | 1.10 | 1.15 | 1.00 | 1.15 | 1.15 |
time (sec) |
N/A | 0.351 | 0.026 | 0.704 | 0.209 | 0.276 | 0.394 | 0.277 | 0.147 |
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 | 32 | 17 | 17 | 12 | 11 | 17 | 8 | 11 | 13 |
N.S. |
1 | 0.53 | 0.53 | 0.38 | 0.34 | 0.53 | 0.25 | 0.34 | 0.41 |
time (sec) |
N/A | 0.164 | 0.009 | 1.783 | 0.205 | 0.258 | 0.030 | 0.262 | 14.163 |
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 | 19 | 11 | 9 | 8 | 7 | 7 | 5 | 7 | 8 |
N.S. |
1 | 0.58 | 0.47 | 0.42 | 0.37 | 0.37 | 0.26 | 0.37 | 0.42 |
time (sec) |
N/A | 0.121 | 0.001 | 0.041 | 0.199 | 0.248 | 0.018 | 0.265 | 0.043 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 19 | 20 | 19 | 28 | 15 | 39 | 20 |
N.S. |
1 | 1.00 | 1.00 | 1.05 | 1.00 | 1.47 | 0.79 | 2.05 | 1.05 |
time (sec) |
N/A | 0.239 | 0.026 | 0.207 | 0.201 | 0.273 | 0.076 | 0.266 | 14.618 |
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 | 11 | 21 | 12 | 11 | 20 | 20 | 17 | 20 | 10 |
N.S. |
1 | 1.91 | 1.09 | 1.00 | 1.82 | 1.82 | 1.55 | 1.82 | 0.91 |
time (sec) |
N/A | 0.140 | 0.001 | 0.102 | 0.206 | 0.252 | 0.028 | 0.266 | 15.315 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | B | B | A | B | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 0 | 41 | 29 | 69 | 94 | 24 | 254 | 61 |
N.S. |
1 | 0.00 | 1.46 | 1.04 | 2.46 | 3.36 | 0.86 | 9.07 | 2.18 |
time (sec) |
N/A | 0.000 | 0.276 | 0.338 | 0.300 | 0.282 | 0.150 | 0.377 | 0.356 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | B | A | A | B | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 0 | 28 | 27 | 185 | 26 | 24 | 59 | 61 |
N.S. |
1 | 0.00 | 0.90 | 0.87 | 5.97 | 0.84 | 0.77 | 1.90 | 1.97 |
time (sec) |
N/A | 0.000 | 0.106 | 5.265 | 0.450 | 0.261 | 0.442 | 1.681 | 17.851 |
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 | 28 | 25 | 25 | 22 | 21 | 23 | 19 | 21 | 20 |
N.S. |
1 | 0.89 | 0.89 | 0.79 | 0.75 | 0.82 | 0.68 | 0.75 | 0.71 |
time (sec) |
N/A | 0.213 | 0.012 | 0.093 | 0.195 | 0.250 | 0.074 | 0.261 | 16.317 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F(-2) | B | A | B | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 0 | 34 | 29 | 0 | 50 | 26 | 530 | 29 |
N.S. |
1 | 0.00 | 1.55 | 1.32 | 0.00 | 2.27 | 1.18 | 24.09 | 1.32 |
time (sec) |
N/A | 0.000 | 2.429 | 8.655 | 0.000 | 0.261 | 0.222 | 0.295 | 16.884 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | B | A | B | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 0 | 27 | 21 | 20 | 43 | 20 | 43 | 21 |
N.S. |
1 | 0.00 | 1.08 | 0.84 | 0.80 | 1.72 | 0.80 | 1.72 | 0.84 |
time (sec) |
N/A | 0.000 | 0.209 | 0.643 | 0.341 | 0.270 | 0.128 | 0.277 | 16.663 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 21 | 23 | 20 | 20 | 26 | 61 | 17 |
N.S. |
1 | 1.00 | 0.81 | 0.88 | 0.77 | 0.77 | 1.00 | 2.35 | 0.65 |
time (sec) |
N/A | 27.994 | 8.943 | 1.054 | 0.198 | 0.259 | 34.719 | 0.969 | 14.427 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 30 | 61 | 24 | 53 | 23 | 22 | 25 | 24 |
N.S. |
1 | 1.15 | 2.35 | 0.92 | 2.04 | 0.88 | 0.85 | 0.96 | 0.92 |
time (sec) |
N/A | 0.661 | 0.114 | 0.909 | 0.311 | 0.288 | 0.103 | 0.296 | 14.914 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | B | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 0 | 41 | 44 | 104 | 43 | 37 | 44 | 43 |
N.S. |
1 | 0.00 | 1.21 | 1.29 | 3.06 | 1.26 | 1.09 | 1.29 | 1.26 |
time (sec) |
N/A | 0.000 | 0.181 | 5.692 | 0.346 | 0.269 | 0.270 | 2.987 | 18.565 |
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 | 17 | 17 | 16 | 11 | 10 | 10 | 15 | 10 | 11 |
N.S. |
1 | 1.00 | 0.94 | 0.65 | 0.59 | 0.59 | 0.88 | 0.59 | 0.65 |
time (sec) |
N/A | 0.141 | 0.018 | 0.157 | 0.186 | 0.255 | 0.042 | 0.252 | 0.068 |
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 | 22 | 25 | 19 | 22 | 21 | 45 | 17 | 39 | 21 |
N.S. |
1 | 1.14 | 0.86 | 1.00 | 0.95 | 2.05 | 0.77 | 1.77 | 0.95 |
time (sec) |
N/A | 0.327 | 0.024 | 1.539 | 0.209 | 0.269 | 0.087 | 0.269 | 0.265 |
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 | 10 | 10 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.85 | 0.77 | 0.77 | 0.77 | 0.77 | 0.77 |
time (sec) |
N/A | 0.179 | 0.016 | 0.230 | 0.193 | 0.269 | 0.051 | 0.250 | 14.975 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 36 | 0 | 36 | 29 | 28 | 34 | 29 | 0 | 26 |
N.S. |
1 | 0.00 | 1.00 | 0.81 | 0.78 | 0.94 | 0.81 | 0.00 | 0.72 |
time (sec) |
N/A | 0.000 | 3.924 | 0.445 | 0.286 | 0.293 | 0.437 | 0.000 | 0.168 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | B | B | F | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 575 | 51 | 49 | 0 | 57 | 206 | 61 | 62 |
N.S. |
1 | 26.14 | 2.32 | 2.23 | 0.00 | 2.59 | 9.36 | 2.77 | 2.82 |
time (sec) |
N/A | 1.634 | 9.581 | 0.339 | 0.000 | 0.275 | 0.505 | 0.259 | 13.657 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 0 | 46 | 24 | 44 | 44 | 20 | 44 | 23 |
N.S. |
1 | 0.00 | 1.70 | 0.89 | 1.63 | 1.63 | 0.74 | 1.63 | 0.85 |
time (sec) |
N/A | 0.000 | 3.016 | 0.178 | 0.250 | 0.263 | 0.088 | 0.263 | 13.810 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | A | A | F(-1) | A | B |
verified |
N/A | N/A | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 27 | 0 | 36 | 274 | 33 | 31 | 0 | 40 | 31 |
N.S. |
1 | 0.00 | 1.33 | 10.15 | 1.22 | 1.15 | 0.00 | 1.48 | 1.15 |
time (sec) |
N/A | 0.000 | 0.480 | 11.712 | 0.485 | 0.286 | 0.000 | 1.842 | 20.557 |
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 | 31 | 22 | 20 | 21 | 27 | 25 | 26 | 27 | 22 |
N.S. |
1 | 0.71 | 0.65 | 0.68 | 0.87 | 0.81 | 0.84 | 0.87 | 0.71 |
time (sec) |
N/A | 0.224 | 0.013 | 0.166 | 0.186 | 0.257 | 0.216 | 0.258 | 0.100 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | B | A | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 0 | 21 | 18 | 17 | 45 | 17 | 0 | 19 |
N.S. |
1 | 0.00 | 1.00 | 0.86 | 0.81 | 2.14 | 0.81 | 0.00 | 0.90 |
time (sec) |
N/A | 0.000 | 1.878 | 10.190 | 0.270 | 0.278 | 32.890 | 0.000 | 14.607 |
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 | 18 | 14 | 14 | 14 | 13 | 13 | 12 | 17 | 13 |
N.S. |
1 | 0.78 | 0.78 | 0.78 | 0.72 | 0.72 | 0.67 | 0.94 | 0.72 |
time (sec) |
N/A | 0.365 | 0.579 | 1.499 | 0.235 | 0.257 | 0.166 | 0.266 | 14.776 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | A | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 0 | 33 | 30 | 0 | 94 | 29 | 0 | 34 |
N.S. |
1 | 0.00 | 1.03 | 0.94 | 0.00 | 2.94 | 0.91 | 0.00 | 1.06 |
time (sec) |
N/A | 0.000 | 0.269 | 24.020 | 0.000 | 0.292 | 0.332 | 0.000 | 16.434 |
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 | 15 | 15 | 15 | 15 | 14 | 14 | 14 | 14 | 14 |
N.S. |
1 | 1.00 | 1.00 | 1.00 | 0.93 | 0.93 | 0.93 | 0.93 | 0.93 |
time (sec) |
N/A | 0.163 | 0.011 | 0.267 | 0.221 | 0.278 | 0.097 | 0.253 | 14.645 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 35 | 35 | 29 | 61 | 43 | 39 | 43 | 25 |
N.S. |
1 | 1.25 | 1.25 | 1.04 | 2.18 | 1.54 | 1.39 | 1.54 | 0.89 |
time (sec) |
N/A | 0.230 | 0.041 | 0.359 | 0.213 | 0.269 | 0.097 | 0.262 | 15.224 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | B | A | A | B | B | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 0 | 34 | 50 | 44 | 35 | 65 | 51 | 51 |
N.S. |
1 | 0.00 | 1.36 | 2.00 | 1.76 | 1.40 | 2.60 | 2.04 | 2.04 |
time (sec) |
N/A | 0.000 | 3.558 | 0.311 | 0.240 | 0.277 | 0.109 | 0.272 | 15.148 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 28 | 34 | 37 | 35 | 36 | 48 | 36 | 34 |
N.S. |
1 | 1.33 | 1.62 | 1.76 | 1.67 | 1.71 | 2.29 | 1.71 | 1.62 |
time (sec) |
N/A | 0.289 | 0.025 | 0.741 | 0.200 | 0.264 | 0.712 | 0.252 | 0.278 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 29 | 22 | 19 | 40 | 22 | 17 | 18 | 33 |
N.S. |
1 | 1.32 | 1.00 | 0.86 | 1.82 | 1.00 | 0.77 | 0.82 | 1.50 |
time (sec) |
N/A | 0.195 | 0.023 | 0.968 | 0.189 | 0.259 | 0.066 | 0.260 | 15.501 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | B | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 0 | 28 | 25 | 0 | 24 | 134 | 26 | 27 |
N.S. |
1 | 0.00 | 1.12 | 1.00 | 0.00 | 0.96 | 5.36 | 1.04 | 1.08 |
time (sec) |
N/A | 0.000 | 0.042 | 0.815 | 0.000 | 0.259 | 2.378 | 0.266 | 0.203 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | B | A | A | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 0 | 26 | 32 | 91 | 34 | 17 | 0 | 20 |
N.S. |
1 | 0.00 | 0.93 | 1.14 | 3.25 | 1.21 | 0.61 | 0.00 | 0.71 |
time (sec) |
N/A | 0.000 | 2.133 | 0.341 | 0.342 | 0.261 | 0.363 | 0.000 | 15.724 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | A | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 0 | 27 | 23 | 26 | 22 | 31 | 37 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.85 | 0.96 | 0.81 | 1.15 | 1.37 | 0.00 |
time (sec) |
N/A | 0.000 | 0.099 | 47.987 | 0.335 | 0.259 | 0.452 | 0.343 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 21 | 50 | 33 | 141 | 42 | 40 | 33 |
N.S. |
1 | 1.00 | 0.91 | 2.17 | 1.43 | 6.13 | 1.83 | 1.74 | 1.43 |
time (sec) |
N/A | 1.076 | 0.428 | 1.449 | 0.378 | 0.270 | 0.393 | 0.271 | 16.312 |
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 | 29 | 25 | 29 | 23 | 25 | 21 | 19 | 25 | 22 |
N.S. |
1 | 0.86 | 1.00 | 0.79 | 0.86 | 0.72 | 0.66 | 0.86 | 0.76 |
time (sec) |
N/A | 0.581 | 0.064 | 0.895 | 0.244 | 0.281 | 0.155 | 0.287 | 16.416 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 16 | 29 | 15 | 14 | 27 | 15 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 1.71 | 0.88 | 0.82 | 1.59 | 0.88 |
time (sec) |
N/A | 0.214 | 0.084 | 0.914 | 0.248 | 0.249 | 0.068 | 0.258 | 15.230 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 0 | 33 | 37 | 37 | 37 | 27 | 37 | 29 |
N.S. |
1 | 0.00 | 0.97 | 1.09 | 1.09 | 1.09 | 0.79 | 1.09 | 0.85 |
time (sec) |
N/A | 0.000 | 0.334 | 4.223 | 0.320 | 0.261 | 0.105 | 0.272 | 15.372 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | B | A | A | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 0 | 18 | 17 | 36 | 16 | 17 | 0 | 16 |
N.S. |
1 | 0.00 | 0.82 | 0.77 | 1.64 | 0.73 | 0.77 | 0.00 | 0.73 |
time (sec) |
N/A | 0.000 | 0.208 | 2.249 | 0.383 | 0.268 | 0.364 | 0.000 | 15.701 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | A | A | A | A | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 72 | 70 | 33 | 32 | 32 | 34 | 43 | 25 |
N.S. |
1 | 2.88 | 2.80 | 1.32 | 1.28 | 1.28 | 1.36 | 1.72 | 1.00 |
time (sec) |
N/A | 0.218 | 0.091 | 0.254 | 0.185 | 0.266 | 0.051 | 0.268 | 0.075 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | B | A | A | F(-1) | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 0 | 34 | 30 | 55 | 52 | 27 | 0 | 40 |
N.S. |
1 | 0.00 | 1.06 | 0.94 | 1.72 | 1.62 | 0.84 | 0.00 | 1.25 |
time (sec) |
N/A | 0.000 | 0.549 | 0.240 | 0.349 | 0.278 | 1.175 | 0.000 | 15.527 |
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 | 34 | 45 | 47 | 36 | 31 | 48 | 26 | 54 | 31 |
N.S. |
1 | 1.32 | 1.38 | 1.06 | 0.91 | 1.41 | 0.76 | 1.59 | 0.91 |
time (sec) |
N/A | 0.580 | 0.052 | 2.308 | 0.260 | 0.273 | 4.556 | 0.276 | 15.738 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | A | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 0 | 25 | 31 | 26 | 26 | 29 | 26 | 0 |
N.S. |
1 | 0.00 | 0.81 | 1.00 | 0.84 | 0.84 | 0.94 | 0.84 | 0.00 |
time (sec) |
N/A | 0.000 | 6.059 | 7.396 | 0.333 | 0.265 | 0.102 | 0.301 | 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 | 19 | 18 | 16 | 13 | 12 | 12 | 12 | 12 | 14 |
N.S. |
1 | 0.95 | 0.84 | 0.68 | 0.63 | 0.63 | 0.63 | 0.63 | 0.74 |
time (sec) |
N/A | 0.227 | 0.024 | 0.189 | 0.186 | 0.260 | 0.083 | 0.282 | 0.076 |
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 | 25 | 16 | 19 | 16 | 15 | 15 | 14 | 15 | 15 |
N.S. |
1 | 0.64 | 0.76 | 0.64 | 0.60 | 0.60 | 0.56 | 0.60 | 0.60 |
time (sec) |
N/A | 0.181 | 0.031 | 0.095 | 0.188 | 0.265 | 0.055 | 0.287 | 0.064 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | F | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 53 | 18 | 18 | 0 | 22 | 17 | 21 | 17 |
N.S. |
1 | 2.52 | 0.86 | 0.86 | 0.00 | 1.05 | 0.81 | 1.00 | 0.81 |
time (sec) |
N/A | 0.290 | 0.050 | 0.319 | 0.000 | 0.244 | 0.140 | 0.283 | 14.640 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | F(-2) | A | F(-2) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 33 | 197 | 36 | 32 | 0 | 36 | 0 | 37 | 69 |
N.S. |
1 | 5.97 | 1.09 | 0.97 | 0.00 | 1.09 | 0.00 | 1.12 | 2.09 |
time (sec) |
N/A | 1.303 | 0.094 | 1.944 | 0.000 | 0.262 | 0.000 | 0.860 | 14.235 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 25 | 23 | 23 | 29 | 22 | 26 | 22 | 18 |
N.S. |
1 | 1.39 | 1.28 | 1.28 | 1.61 | 1.22 | 1.44 | 1.22 | 1.00 |
time (sec) |
N/A | 0.205 | 0.029 | 0.398 | 0.217 | 0.286 | 0.079 | 0.284 | 13.328 |
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 | 18 | 30 | 14 | 12 | 24 | 19 | 15 | 24 | 13 |
N.S. |
1 | 1.67 | 0.78 | 0.67 | 1.33 | 1.06 | 0.83 | 1.33 | 0.72 |
time (sec) |
N/A | 0.153 | 0.002 | 0.261 | 0.189 | 0.263 | 0.057 | 0.284 | 13.373 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 14 | 29 | 14 | 17 | 12 | 16 | 10 | 12 | 13 |
N.S. |
1 | 2.07 | 1.00 | 1.21 | 0.86 | 1.14 | 0.71 | 0.86 | 0.93 |
time (sec) |
N/A | 0.196 | 0.019 | 0.878 | 0.250 | 0.282 | 0.088 | 0.275 | 13.425 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 247 | 24 | 43 | 36 | 52 | 49 | 52 | 50 |
N.S. |
1 | 10.29 | 1.00 | 1.79 | 1.50 | 2.17 | 2.04 | 2.17 | 2.08 |
time (sec) |
N/A | 1.441 | 0.168 | 2.900 | 0.306 | 0.257 | 0.347 | 2.231 | 14.755 |
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 | 22 | 22 | 23 | 22 | 22 | 26 | 22 | 22 |
N.S. |
1 | 1.69 | 1.69 | 1.77 | 1.69 | 1.69 | 2.00 | 1.69 | 1.69 |
time (sec) |
N/A | 0.177 | 0.010 | 0.241 | 0.183 | 0.271 | 0.055 | 0.265 | 14.807 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | A | A | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 32 | 0 | 41 | 172 | 46 | 49 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.28 | 5.38 | 1.44 | 1.53 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.251 | 0.201 | 0.469 | 0.285 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | C | A | A | B | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 0 | 24 | 33 | 43 | 33 | 20 | 79 | 22 |
N.S. |
1 | 0.00 | 1.04 | 1.43 | 1.87 | 1.43 | 0.87 | 3.43 | 0.96 |
time (sec) |
N/A | 0.000 | 0.280 | 5.581 | 0.299 | 0.276 | 0.088 | 0.444 | 17.969 |
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 | 29 | 26 | 23 | 23 | 26 | 42 | 24 | 28 | 27 |
N.S. |
1 | 0.90 | 0.79 | 0.79 | 0.90 | 1.45 | 0.83 | 0.97 | 0.93 |
time (sec) |
N/A | 0.287 | 0.021 | 0.158 | 0.184 | 0.262 | 0.177 | 0.274 | 14.312 |
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 | 28 | 28 | 28 | 26 | 26 | 26 | 26 | 27 | 26 |
N.S. |
1 | 1.00 | 1.00 | 0.93 | 0.93 | 0.93 | 0.93 | 0.96 | 0.93 |
time (sec) |
N/A | 0.470 | 0.027 | 0.244 | 0.210 | 0.268 | 0.258 | 0.266 | 0.166 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | C | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 0 | 28 | 26 | 46 | 28 | 26 | 28 | 24 |
N.S. |
1 | 0.00 | 1.12 | 1.04 | 1.84 | 1.12 | 1.04 | 1.12 | 0.96 |
time (sec) |
N/A | 0.000 | 0.180 | 0.314 | 0.236 | 0.270 | 0.048 | 0.281 | 14.739 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 33 | 0 | 32 | 36 | 38 | 38 | 37 | 0 | 0 |
N.S. |
1 | 0.00 | 0.97 | 1.09 | 1.15 | 1.15 | 1.12 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.196 | 272.625 | 0.227 | 0.280 | 0.274 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | B | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 19 | 18 | 26 | 69 | 65 | 73 | 206 | 0 |
N.S. |
1 | 0.95 | 0.90 | 1.30 | 3.45 | 3.25 | 3.65 | 10.30 | 0.00 |
time (sec) |
N/A | 0.566 | 0.038 | 3.302 | 0.337 | 0.269 | 0.221 | 0.286 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | B | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 85 | 70 | 56 | 79 | 57 | 53 | 65 | 47 |
N.S. |
1 | 2.93 | 2.41 | 1.93 | 2.72 | 1.97 | 1.83 | 2.24 | 1.62 |
time (sec) |
N/A | 0.292 | 0.016 | 0.315 | 0.202 | 0.273 | 0.081 | 0.279 | 15.186 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | A | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 0 | 29 | 21 | 0 | 20 | 20 | 0 | 20 |
N.S. |
1 | 0.00 | 1.12 | 0.81 | 0.00 | 0.77 | 0.77 | 0.00 | 0.77 |
time (sec) |
N/A | 0.000 | 0.619 | 222.633 | 0.000 | 0.280 | 0.371 | 0.000 | 0.427 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F(-2) | A | A | B | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 0 | 26 | 28 | 0 | 42 | 20 | 49 | 73 |
N.S. |
1 | 0.00 | 0.96 | 1.04 | 0.00 | 1.56 | 0.74 | 1.81 | 2.70 |
time (sec) |
N/A | 0.000 | 0.606 | 3.584 | 0.000 | 0.267 | 0.102 | 0.318 | 15.877 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 42 | 37 | 39 | 41 | 41 | 54 | 41 | 49 |
N.S. |
1 | 1.45 | 1.28 | 1.34 | 1.41 | 1.41 | 1.86 | 1.41 | 1.69 |
time (sec) |
N/A | 0.171 | 0.021 | 0.211 | 0.194 | 0.255 | 0.025 | 0.266 | 15.116 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 45 | 18 | 18 | 17 | 17 | 15 | 17 | 17 |
N.S. |
1 | 2.05 | 0.82 | 0.82 | 0.77 | 0.77 | 0.68 | 0.77 | 0.77 |
time (sec) |
N/A | 0.662 | 0.357 | 0.089 | 0.233 | 0.255 | 0.061 | 0.264 | 15.269 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | B | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 414 | 147 | 216 | 188 | 182 | 236 | 176 | 189 |
N.S. |
1 | 14.79 | 5.25 | 7.71 | 6.71 | 6.50 | 8.43 | 6.29 | 6.75 |
time (sec) |
N/A | 0.814 | 6.224 | 0.513 | 0.275 | 0.278 | 0.195 | 0.283 | 0.282 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | B | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 0 | 21 | 19 | 60 | 18 | 15 | 18 | 18 |
N.S. |
1 | 0.00 | 1.05 | 0.95 | 3.00 | 0.90 | 0.75 | 0.90 | 0.90 |
time (sec) |
N/A | 0.000 | 0.335 | 2.286 | 0.243 | 0.270 | 0.279 | 1.480 | 15.100 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 0 | 35 | 36 | 32 | 32 | 34 | 36 | 36 |
N.S. |
1 | 0.00 | 1.13 | 1.16 | 1.03 | 1.03 | 1.10 | 1.16 | 1.16 |
time (sec) |
N/A | 0.000 | 4.101 | 0.105 | 0.240 | 0.271 | 0.189 | 0.280 | 15.310 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 58 | 52 | 56 | 54 | 54 | 61 | 54 | 54 |
N.S. |
1 | 2.15 | 1.93 | 2.07 | 2.00 | 2.00 | 2.26 | 2.00 | 2.00 |
time (sec) |
N/A | 0.522 | 0.177 | 0.321 | 0.275 | 0.270 | 0.117 | 0.280 | 15.155 |
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 | 18 | 26 | 18 | 18 | 21 | 17 | 15 | 19 | 12 |
N.S. |
1 | 1.44 | 1.00 | 1.00 | 1.17 | 0.94 | 0.83 | 1.06 | 0.67 |
time (sec) |
N/A | 0.212 | 0.120 | 0.192 | 0.213 | 0.274 | 0.133 | 0.284 | 15.345 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | B | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 80 | 89 | 28 | 93 | 59 | 99 | 100 | 185 |
N.S. |
1 | 3.64 | 4.05 | 1.27 | 4.23 | 2.68 | 4.50 | 4.55 | 8.41 |
time (sec) |
N/A | 0.336 | 0.049 | 1.690 | 0.185 | 0.281 | 0.183 | 0.262 | 14.443 |
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 | 20 | 21 | 28 | 19 | 18 | 18 | 19 | 18 | 18 |
N.S. |
1 | 1.05 | 1.40 | 0.95 | 0.90 | 0.90 | 0.95 | 0.90 | 0.90 |
time (sec) |
N/A | 0.165 | 0.029 | 0.130 | 0.183 | 0.271 | 0.044 | 0.282 | 14.957 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 113 | 20 | 23 | 90 | 25 | 31 | 25 | 26 |
N.S. |
1 | 4.04 | 0.71 | 0.82 | 3.21 | 0.89 | 1.11 | 0.89 | 0.93 |
time (sec) |
N/A | 1.038 | 2.419 | 0.545 | 0.234 | 0.278 | 0.092 | 0.276 | 0.173 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 49 | 20 | 20 | 26 | 20 | 20 | 20 | 18 |
N.S. |
1 | 2.33 | 0.95 | 0.95 | 1.24 | 0.95 | 0.95 | 0.95 | 0.86 |
time (sec) |
N/A | 0.483 | 0.301 | 1.344 | 0.236 | 0.270 | 0.084 | 0.271 | 0.111 |
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 | 22 | 16 | 16 | 15 | 16 | 16 | 15 | 17 | 16 |
N.S. |
1 | 0.73 | 0.73 | 0.68 | 0.73 | 0.73 | 0.68 | 0.77 | 0.73 |
time (sec) |
N/A | 0.153 | 0.006 | 0.141 | 0.208 | 0.261 | 0.062 | 0.294 | 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 | 18 | 10 | 14 | 10 | 9 | 12 | 10 | 9 | 9 |
N.S. |
1 | 0.56 | 0.78 | 0.56 | 0.50 | 0.67 | 0.56 | 0.50 | 0.50 |
time (sec) |
N/A | 0.126 | 0.000 | 0.126 | 0.215 | 0.258 | 0.021 | 0.267 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 0 | 20 | 19 | 18 | 18 | 17 | 22 | 18 |
N.S. |
1 | 0.00 | 0.91 | 0.86 | 0.82 | 0.82 | 0.77 | 1.00 | 0.82 |
time (sec) |
N/A | 0.000 | 0.647 | 0.976 | 0.247 | 0.276 | 0.079 | 0.285 | 0.115 |
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 | 17 | 13 | 13 | 14 | 13 | 13 | 10 | 13 | 13 |
N.S. |
1 | 0.76 | 0.76 | 0.82 | 0.76 | 0.76 | 0.59 | 0.76 | 0.76 |
time (sec) |
N/A | 0.164 | 0.002 | 0.138 | 0.199 | 0.264 | 0.055 | 0.276 | 14.417 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 0 | 19 | 19 | 29 | 29 | 17 | 29 | 20 |
N.S. |
1 | 0.00 | 0.95 | 0.95 | 1.45 | 1.45 | 0.85 | 1.45 | 1.00 |
time (sec) |
N/A | 0.000 | 2.086 | 0.135 | 0.216 | 0.269 | 0.064 | 0.271 | 16.068 |
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 | 29 | 23 | 23 | 23 | 24 | 22 | 20 | 27 | 20 |
N.S. |
1 | 0.79 | 0.79 | 0.79 | 0.83 | 0.76 | 0.69 | 0.93 | 0.69 |
time (sec) |
N/A | 0.266 | 0.019 | 0.204 | 0.197 | 0.271 | 0.359 | 0.277 | 15.193 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | B | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 0 | 20 | 27 | 24 | 24 | 26 | 50 | 24 |
N.S. |
1 | 0.00 | 0.83 | 1.12 | 1.00 | 1.00 | 1.08 | 2.08 | 1.00 |
time (sec) |
N/A | 0.000 | 0.282 | 94.447 | 0.358 | 0.267 | 0.453 | 1.891 | 19.320 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 56 | 25 | 51 | 0 | 49 | 26 | 48 | 0 |
N.S. |
1 | 1.75 | 0.78 | 1.59 | 0.00 | 1.53 | 0.81 | 1.50 | 0.00 |
time (sec) |
N/A | 0.512 | 5.074 | 1.436 | 0.000 | 0.273 | 0.134 | 0.267 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | B | B | B | B | B | B | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 36 | 0 | 104 | 1104 | 124 | 352 | 413 | 830 | 0 |
N.S. |
1 | 0.00 | 2.89 | 30.67 | 3.44 | 9.78 | 11.47 | 23.06 | 0.00 |
time (sec) |
N/A | 0.000 | 0.458 | 6.988 | 0.444 | 0.290 | 1.419 | 76.990 | 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 | 22 | 20 | 20 | 17 | 18 | 16 | 19 | 18 | 18 |
N.S. |
1 | 0.91 | 0.91 | 0.77 | 0.82 | 0.73 | 0.86 | 0.82 | 0.82 |
time (sec) |
N/A | 0.472 | 0.036 | 1.400 | 0.315 | 0.273 | 0.130 | 0.323 | 15.904 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | B | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 126 | 101 | 91 | 120 | 78 | 90 | 129 | 74 |
N.S. |
1 | 7.00 | 5.61 | 5.06 | 6.67 | 4.33 | 5.00 | 7.17 | 4.11 |
time (sec) |
N/A | 0.265 | 0.023 | 0.224 | 0.186 | 0.276 | 0.131 | 0.284 | 15.222 |
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 | 17 | 19 | 18 | 19 | 18 | 18 | 17 | 18 | 14 |
N.S. |
1 | 1.12 | 1.06 | 1.12 | 1.06 | 1.06 | 1.00 | 1.06 | 0.82 |
time (sec) |
N/A | 0.170 | 0.007 | 0.169 | 0.179 | 0.252 | 0.050 | 0.274 | 0.069 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 37 | 24 | 29 | 65 | 34 | 37 | 161 | 44 |
N.S. |
1 | 1.42 | 0.92 | 1.12 | 2.50 | 1.31 | 1.42 | 6.19 | 1.69 |
time (sec) |
N/A | 0.353 | 0.024 | 1.995 | 0.303 | 0.259 | 0.212 | 0.294 | 14.824 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 48 | 32 | 28 | 93 | 34 | 26 | 27 | 41 |
N.S. |
1 | 1.71 | 1.14 | 1.00 | 3.32 | 1.21 | 0.93 | 0.96 | 1.46 |
time (sec) |
N/A | 0.585 | 0.090 | 0.479 | 0.254 | 0.257 | 0.103 | 0.272 | 13.772 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | A | A | A | A | A | B |
verified |
N/A | Yes | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 31 | 0 | 29 | 31 | 42 | 34 | 31 | 41 |
N.S. |
1 | 1.11 | 0.00 | 1.04 | 1.11 | 1.50 | 1.21 | 1.11 | 1.46 |
time (sec) |
N/A | 0.452 | 0.000 | 0.390 | 0.184 | 0.259 | 0.195 | 0.330 | 13.932 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | B | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 0 | 37 | 40 | 35 | 39 | 39 | 52 | 36 |
N.S. |
1 | 0.00 | 1.19 | 1.29 | 1.13 | 1.26 | 1.26 | 1.68 | 1.16 |
time (sec) |
N/A | 0.000 | 4.778 | 0.183 | 0.250 | 0.296 | 0.143 | 0.297 | 14.902 |
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 | 28 | 24 | 26 | 21 | 19 | 36 | 26 | 21 | 20 |
N.S. |
1 | 0.86 | 0.93 | 0.75 | 0.68 | 1.29 | 0.93 | 0.75 | 0.71 |
time (sec) |
N/A | 0.180 | 0.006 | 0.182 | 0.192 | 0.258 | 0.055 | 0.270 | 0.074 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | B | A | A | F(-2) | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 0 | 33 | 35 | 61 | 39 | 37 | 0 | 68 |
N.S. |
1 | 0.00 | 1.22 | 1.30 | 2.26 | 1.44 | 1.37 | 0.00 | 2.52 |
time (sec) |
N/A | 0.000 | 0.164 | 2.097 | 0.415 | 0.276 | 0.255 | 0.000 | 15.158 |
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 | 5 | 5 | 5 | 4 | 4 | 3 | 4 | 4 |
N.S. |
1 | 0.50 | 0.50 | 0.50 | 0.40 | 0.40 | 0.30 | 0.40 | 0.40 |
time (sec) |
N/A | 0.129 | 0.000 | 0.167 | 0.194 | 0.252 | 0.039 | 0.266 | 0.009 |
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 | 14 | 18 | 28 | 17 | 14 | 14 | 14 | 14 | 16 |
N.S. |
1 | 1.29 | 2.00 | 1.21 | 1.00 | 1.00 | 1.00 | 1.00 | 1.14 |
time (sec) |
N/A | 0.130 | 0.000 | 0.109 | 0.189 | 0.241 | 0.024 | 0.264 | 0.002 |
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 | 11 | 12 | 13 | 11 | 14 | 14 | 12 | 14 | 13 |
N.S. |
1 | 1.09 | 1.18 | 1.00 | 1.27 | 1.27 | 1.09 | 1.27 | 1.18 |
time (sec) |
N/A | 0.126 | 0.000 | 0.229 | 0.216 | 0.243 | 0.030 | 0.276 | 0.044 |
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 | 12 | 11 | 11 | 11 | 10 | 10 | 7 | 10 | 10 |
N.S. |
1 | 0.92 | 0.92 | 0.92 | 0.83 | 0.83 | 0.58 | 0.83 | 0.83 |
time (sec) |
N/A | 0.147 | 0.002 | 0.116 | 0.190 | 0.280 | 0.038 | 0.266 | 14.004 |
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 | 24 | 19 | 17 | 15 | 14 | 14 | 15 | 14 | 14 |
N.S. |
1 | 0.79 | 0.71 | 0.62 | 0.58 | 0.58 | 0.62 | 0.58 | 0.58 |
time (sec) |
N/A | 0.149 | 0.002 | 0.200 | 0.206 | 0.288 | 0.023 | 0.273 | 0.032 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | B | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 0 | 24 | 20 | 19 | 31 | 27 | 49 | 20 |
N.S. |
1 | 0.00 | 1.09 | 0.91 | 0.86 | 1.41 | 1.23 | 2.23 | 0.91 |
time (sec) |
N/A | 0.000 | 0.497 | 0.293 | 0.217 | 0.261 | 0.099 | 0.287 | 0.107 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | B | A | A | B | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 0 | 28 | 29 | 47 | 25 | 22 | 1234 | 0 |
N.S. |
1 | 0.00 | 1.04 | 1.07 | 1.74 | 0.93 | 0.81 | 45.70 | 0.00 |
time (sec) |
N/A | 0.000 | 0.120 | 4.559 | 0.353 | 0.260 | 0.506 | 0.605 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | B | A | B | B | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 0 | 41 | 24 | 43 | 43 | 31 | 24 | 24 |
N.S. |
1 | 0.00 | 2.16 | 1.26 | 2.26 | 2.26 | 1.63 | 1.26 | 1.26 |
time (sec) |
N/A | 0.000 | 0.334 | 1.760 | 0.233 | 0.278 | 0.411 | 0.292 | 15.730 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | F | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 141 | 33 | 31 | 0 | 38 | 41 | 0 | 57 |
N.S. |
1 | 5.22 | 1.22 | 1.15 | 0.00 | 1.41 | 1.52 | 0.00 | 2.11 |
time (sec) |
N/A | 0.667 | 0.164 | 9.621 | 0.000 | 0.259 | 1.116 | 0.000 | 15.573 |