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 | B | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 43 | 20 | 18 | 21 | 21 | 19 | 36 | 17 |
N.S. |
1 | 2.15 | 1.00 | 0.90 | 1.05 | 1.05 | 0.95 | 1.80 | 0.85 |
time (sec) |
N/A | 0.195 | 0.061 | 0.146 | 0.179 | 0.264 | 0.109 | 0.269 | 13.581 |
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 | 24 | 27 | 27 | 27 | 31 | 31 | 28 |
N.S. |
1 | 0.00 | 1.09 | 1.23 | 1.23 | 1.23 | 1.41 | 1.41 | 1.27 |
time (sec) |
N/A | 0.000 | 0.125 | 0.526 | 0.300 | 0.256 | 0.056 | 0.283 | 13.550 |
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 | 10 | 10 | 11 | 10 | 12 | 8 | 10 | 12 |
N.S. |
1 | 0.40 | 0.40 | 0.44 | 0.40 | 0.48 | 0.32 | 0.40 | 0.48 |
time (sec) |
N/A | 0.153 | 0.002 | 0.016 | 0.182 | 0.225 | 0.028 | 0.281 | 0.027 |
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 | 24 | 23 | 36 | 25 | 22 | 36 | 25 |
N.S. |
1 | 0.00 | 0.89 | 0.85 | 1.33 | 0.93 | 0.81 | 1.33 | 0.93 |
time (sec) |
N/A | 0.000 | 2.973 | 0.473 | 0.301 | 0.240 | 0.217 | 0.319 | 13.250 |
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 | 25 | 0 | 21 | 20 | 24 | 29 | 24 | 25 | 19 |
N.S. |
1 | 0.00 | 0.84 | 0.80 | 0.96 | 1.16 | 0.96 | 1.00 | 0.76 |
time (sec) |
N/A | 0.000 | 0.519 | 1.172 | 0.251 | 0.258 | 0.085 | 0.299 | 13.479 |
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 | 23 | 23 | 17 | 16 | 16 | 12 | 16 | 16 |
N.S. |
1 | 1.15 | 1.15 | 0.85 | 0.80 | 0.80 | 0.60 | 0.80 | 0.80 |
time (sec) |
N/A | 0.175 | 0.078 | 0.058 | 0.197 | 0.258 | 0.043 | 0.299 | 0.063 |
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 | 24 | 0 | 37 | 33 | 35 | 35 | 37 | 40 | 40 |
N.S. |
1 | 0.00 | 1.54 | 1.38 | 1.46 | 1.46 | 1.54 | 1.67 | 1.67 |
time (sec) |
N/A | 0.000 | 0.152 | 1.513 | 0.213 | 0.247 | 0.164 | 0.316 | 12.757 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | B | B | A | B | B | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 0 | 47 | 118 | 25 | 51 | 78 | 0 | 84 |
N.S. |
1 | 0.00 | 2.04 | 5.13 | 1.09 | 2.22 | 3.39 | 0.00 | 3.65 |
time (sec) |
N/A | 0.000 | 0.468 | 2.622 | 0.239 | 0.249 | 1.722 | 0.000 | 13.501 |
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 | 21 | 18 | 21 | 20 | 19 | 25 | 20 | 29 | 19 |
N.S. |
1 | 0.86 | 1.00 | 0.95 | 0.90 | 1.19 | 0.95 | 1.38 | 0.90 |
time (sec) |
N/A | 0.479 | 0.037 | 0.120 | 0.295 | 0.249 | 0.062 | 0.284 | 13.334 |
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 | 31 | 0 | 27 | 22 | 30 | 36 | 34 | 162 | 30 |
N.S. |
1 | 0.00 | 0.87 | 0.71 | 0.97 | 1.16 | 1.10 | 5.23 | 0.97 |
time (sec) |
N/A | 0.000 | 1.988 | 0.424 | 0.255 | 0.228 | 0.085 | 0.326 | 12.895 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | B | B | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 88 | 45 | 219 | 295 | 292 | 205 | 0 |
N.S. |
1 | 1.00 | 3.26 | 1.67 | 8.11 | 10.93 | 10.81 | 7.59 | 0.00 |
time (sec) |
N/A | 0.239 | 0.048 | 0.760 | 0.193 | 0.247 | 0.518 | 0.286 | 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 | 20 | 25 | 25 | 18 | 22 | 16 | 14 | 16 | 22 |
N.S. |
1 | 1.25 | 1.25 | 0.90 | 1.10 | 0.80 | 0.70 | 0.80 | 1.10 |
time (sec) |
N/A | 0.293 | 0.427 | 0.039 | 0.283 | 0.233 | 0.087 | 0.317 | 0.188 |
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 | 30 | 30 | 20 | 23 | 20 | 20 | 21 | 19 |
N.S. |
1 | 1.58 | 1.58 | 1.05 | 1.21 | 1.05 | 1.05 | 1.11 | 1.00 |
time (sec) |
N/A | 0.753 | 3.201 | 0.491 | 0.344 | 0.254 | 0.173 | 0.326 | 13.028 |
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 | 19 | 0 | 22 | 22 | 22 | 22 | 17 | 22 | 22 |
N.S. |
1 | 0.00 | 1.16 | 1.16 | 1.16 | 1.16 | 0.89 | 1.16 | 1.16 |
time (sec) |
N/A | 0.000 | 0.226 | 0.325 | 0.268 | 0.252 | 0.054 | 0.313 | 12.941 |
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 | 33 | 27 | 16 | 16 | 22 | 14 | 24 | 14 |
N.S. |
1 | 1.22 | 1.00 | 0.59 | 0.59 | 0.81 | 0.52 | 0.89 | 0.52 |
time (sec) |
N/A | 0.564 | 0.062 | 0.173 | 0.278 | 0.258 | 0.073 | 0.304 | 13.365 |
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 | 30 | 20 | 20 | 25 | 25 | 22 | 25 | 20 |
N.S. |
1 | 1.76 | 1.18 | 1.18 | 1.47 | 1.47 | 1.29 | 1.47 | 1.18 |
time (sec) |
N/A | 0.168 | 0.003 | 0.043 | 0.188 | 0.232 | 0.022 | 0.286 | 12.827 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 33 | 26 | 35 | 33 | 87 | 34 | 20 | 108 |
N.S. |
1 | 1.57 | 1.24 | 1.67 | 1.57 | 4.14 | 1.62 | 0.95 | 5.14 |
time (sec) |
N/A | 0.488 | 0.039 | 0.120 | 0.181 | 0.238 | 0.213 | 0.277 | 14.306 |
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 | 9 | 9 | 10 | 9 | 9 | 8 | 9 | 7 |
N.S. |
1 | 0.90 | 0.90 | 1.00 | 0.90 | 0.90 | 0.80 | 0.90 | 0.70 |
time (sec) |
N/A | 0.196 | 0.006 | 0.051 | 0.208 | 0.237 | 0.099 | 0.286 | 13.125 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | A | A | A | A | A | B |
verified |
N/A | N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 0 | 0 | 36 | 46 | 46 | 34 | 35 | 34 |
N.S. |
1 | 0.00 | 0.00 | 1.44 | 1.84 | 1.84 | 1.36 | 1.40 | 1.36 |
time (sec) |
N/A | 0.000 | 0.000 | 0.211 | 0.299 | 0.248 | 0.310 | 0.306 | 12.646 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | A | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 0 | 21 | 24 | 0 | 23 | 20 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 1.14 | 0.00 | 1.10 | 0.95 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.104 | 0.522 | 0.000 | 0.253 | 0.134 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | F(-2) | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 0 | 40 | 23 | 30 | 24 | 20 | 0 | 22 |
N.S. |
1 | 0.00 | 1.54 | 0.88 | 1.15 | 0.92 | 0.77 | 0.00 | 0.85 |
time (sec) |
N/A | 0.000 | 0.780 | 0.496 | 0.277 | 0.257 | 0.289 | 0.000 | 12.968 |
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 | 30 | 0 | 39 | 35 | 46 | 42 | 37 | 1342 | 40 |
N.S. |
1 | 0.00 | 1.30 | 1.17 | 1.53 | 1.40 | 1.23 | 44.73 | 1.33 |
time (sec) |
N/A | 0.000 | 0.318 | 0.930 | 0.274 | 0.256 | 0.180 | 0.536 | 12.887 |
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 | 11 | 9 | 9 | 9 | 33 | 8 | 8 | 8 | 8 |
N.S. |
1 | 0.82 | 0.82 | 0.82 | 3.00 | 0.73 | 0.73 | 0.73 | 0.73 |
time (sec) |
N/A | 0.206 | 0.007 | 0.041 | 0.187 | 0.256 | 0.048 | 0.301 | 0.039 |
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 | 31 | 24 | 25 | 31 | 25 | 20 | 35 | 18 |
N.S. |
1 | 1.24 | 0.96 | 1.00 | 1.24 | 1.00 | 0.80 | 1.40 | 0.72 |
time (sec) |
N/A | 0.201 | 0.015 | 0.163 | 0.181 | 0.236 | 0.071 | 0.329 | 12.965 |
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 | 23 | 23 | 23 | 27 | 53 | 24 | 20 | 52 | 54 |
N.S. |
1 | 1.00 | 1.00 | 1.17 | 2.30 | 1.04 | 0.87 | 2.26 | 2.35 |
time (sec) |
N/A | 0.314 | 0.148 | 0.507 | 0.210 | 0.259 | 0.190 | 0.312 | 14.702 |
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 | 17 | 17 | 17 | 16 | 31 | 27 | 10 | 103 | 15 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 1.82 | 1.59 | 0.59 | 6.06 | 0.88 |
time (sec) |
N/A | 0.567 | 0.130 | 0.457 | 0.186 | 0.248 | 0.087 | 0.387 | 12.881 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 248 | 28 | 33 | 34 | 34 | 36 | 0 | 35 |
N.S. |
1 | 8.27 | 0.93 | 1.10 | 1.13 | 1.13 | 1.20 | 0.00 | 1.17 |
time (sec) |
N/A | 1.259 | 0.220 | 1.174 | 0.280 | 0.250 | 4.040 | 0.000 | 0.257 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 155 | 62 | 53 | 64 | 51 | 54 | 56 | 64 |
N.S. |
1 | 5.00 | 2.00 | 1.71 | 2.06 | 1.65 | 1.74 | 1.81 | 2.06 |
time (sec) |
N/A | 2.331 | 5.104 | 0.198 | 0.238 | 0.242 | 0.215 | 0.323 | 13.600 |
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 | 18 | 18 | 17 | 16 | 16 | 17 | 16 | 17 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 0.89 | 0.89 | 0.94 | 0.89 | 0.94 |
time (sec) |
N/A | 0.399 | 0.019 | 0.600 | 0.323 | 0.265 | 0.051 | 0.312 | 12.800 |
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 | 23 | 29 | 25 | 24 | 0 | 23 | 22 | 24 | 21 |
N.S. |
1 | 1.26 | 1.09 | 1.04 | 0.00 | 1.00 | 0.96 | 1.04 | 0.91 |
time (sec) |
N/A | 0.291 | 0.059 | 1.521 | 0.000 | 0.254 | 0.109 | 0.315 | 12.819 |
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 | 31 | 0 | 44 | 34 | 57 | 35 | 31 | 0 | 94 |
N.S. |
1 | 0.00 | 1.42 | 1.10 | 1.84 | 1.13 | 1.00 | 0.00 | 3.03 |
time (sec) |
N/A | 0.000 | 3.801 | 0.684 | 0.453 | 0.246 | 0.274 | 0.000 | 13.637 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | B | B | A | F(-2) | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 0 | 33 | 33 | 68 | 63 | 32 | 0 | 82 |
N.S. |
1 | 0.00 | 1.27 | 1.27 | 2.62 | 2.42 | 1.23 | 0.00 | 3.15 |
time (sec) |
N/A | 0.000 | 0.094 | 0.986 | 0.249 | 0.250 | 0.116 | 0.000 | 13.507 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | B | F | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 0 | 28 | 96 | 0 | 30 | 27 | 47 | 30 |
N.S. |
1 | 0.00 | 0.97 | 3.31 | 0.00 | 1.03 | 0.93 | 1.62 | 1.03 |
time (sec) |
N/A | 0.000 | 1.114 | 88.544 | 0.000 | 0.236 | 0.388 | 1.529 | 13.103 |
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 | 23 | 20 | 20 | 18 | 0 | 17 | 17 | 17 | 17 |
N.S. |
1 | 0.87 | 0.87 | 0.78 | 0.00 | 0.74 | 0.74 | 0.74 | 0.74 |
time (sec) |
N/A | 0.531 | 0.059 | 0.183 | 0.000 | 0.249 | 0.119 | 0.301 | 13.730 |
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 | 29 | 32 | 35 | 40 | 34 | 32 | 42 | 37 |
N.S. |
1 | 0.97 | 1.07 | 1.17 | 1.33 | 1.13 | 1.07 | 1.40 | 1.23 |
time (sec) |
N/A | 0.195 | 0.019 | 0.250 | 0.183 | 0.244 | 0.062 | 0.311 | 0.203 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | C | B | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 106 | 24 | 28 | 43 | 39 | 17 | 39 | 21 |
N.S. |
1 | 4.42 | 1.00 | 1.17 | 1.79 | 1.62 | 0.71 | 1.62 | 0.88 |
time (sec) |
N/A | 0.620 | 0.143 | 6.032 | 0.302 | 0.248 | 0.119 | 0.296 | 13.757 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 28 | 28 | 52 | 64 | 54 | 49 | 54 | 55 |
N.S. |
1 | 1.22 | 1.22 | 2.26 | 2.78 | 2.35 | 2.13 | 2.35 | 2.39 |
time (sec) |
N/A | 1.189 | 0.116 | 0.151 | 0.957 | 0.242 | 0.127 | 0.373 | 14.057 |
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 | 24 | 24 | 24 | 24 | 22 | 24 | 24 |
N.S. |
1 | 0.00 | 0.89 | 0.89 | 0.89 | 0.89 | 0.81 | 0.89 | 0.89 |
time (sec) |
N/A | 0.000 | 0.381 | 0.385 | 0.225 | 0.248 | 0.074 | 0.320 | 12.802 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F(-2) | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 0 | 27 | 34 | 0 | 33 | 34 | 23 | 25 |
N.S. |
1 | 0.00 | 1.00 | 1.26 | 0.00 | 1.22 | 1.26 | 0.85 | 0.93 |
time (sec) |
N/A | 0.000 | 0.181 | 10.240 | 0.000 | 0.250 | 0.398 | 0.560 | 12.776 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 48 | 30 | 30 | 0 | 29 | 26 | 51 | 28 |
N.S. |
1 | 1.85 | 1.15 | 1.15 | 0.00 | 1.12 | 1.00 | 1.96 | 1.08 |
time (sec) |
N/A | 0.224 | 0.164 | 0.161 | 0.000 | 0.235 | 1.671 | 0.292 | 12.838 |
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 | 5 | 5 | 6 | 5 | 5 | 5 | 5 | 5 |
N.S. |
1 | 0.71 | 0.71 | 0.86 | 0.71 | 0.71 | 0.71 | 0.71 | 0.71 |
time (sec) |
N/A | 0.138 | 0.002 | 0.062 | 0.188 | 0.249 | 0.041 | 0.289 | 12.589 |
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 | 19 | 0 | 21 | 18 | 19 | 19 | 15 | 21 | 21 |
N.S. |
1 | 0.00 | 1.11 | 0.95 | 1.00 | 1.00 | 0.79 | 1.11 | 1.11 |
time (sec) |
N/A | 0.000 | 0.106 | 0.247 | 0.322 | 0.254 | 0.079 | 0.313 | 12.834 |
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 | 28 | 41 | 23 | 27 | 0 | 22 | 26 | 30 | 27 |
N.S. |
1 | 1.46 | 0.82 | 0.96 | 0.00 | 0.79 | 0.93 | 1.07 | 0.96 |
time (sec) |
N/A | 0.841 | 1.905 | 0.312 | 0.000 | 0.255 | 0.065 | 0.291 | 0.158 |
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 | 19 | 10 | 10 | 11 | 10 | 10 | 8 | 11 | 10 |
N.S. |
1 | 0.53 | 0.53 | 0.58 | 0.53 | 0.53 | 0.42 | 0.58 | 0.53 |
time (sec) |
N/A | 0.137 | 0.004 | 0.155 | 0.172 | 0.234 | 0.030 | 0.287 | 0.032 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | A | B | A | A | B | B |
verified |
N/A | N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 0 | 0 | 28 | 47 | 27 | 27 | 59 | 27 |
N.S. |
1 | 0.00 | 0.00 | 1.27 | 2.14 | 1.23 | 1.23 | 2.68 | 1.23 |
time (sec) |
N/A | 0.000 | 0.000 | 1.155 | 0.313 | 0.242 | 0.154 | 0.821 | 14.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | B | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 33 | 0 | 39 | 51 | 50 | 50 | 49 | 160 | 0 |
N.S. |
1 | 0.00 | 1.18 | 1.55 | 1.52 | 1.52 | 1.48 | 4.85 | 0.00 |
time (sec) |
N/A | 0.000 | 0.306 | 161.895 | 0.378 | 0.264 | 1.429 | 0.790 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | F(-2) | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 0 | 22 | 16 | 19 | 15 | 0 | 22 | 19 |
N.S. |
1 | 0.00 | 0.92 | 0.67 | 0.79 | 0.62 | 0.00 | 0.92 | 0.79 |
time (sec) |
N/A | 0.000 | 0.206 | 0.513 | 0.327 | 0.249 | 0.000 | 0.306 | 14.253 |
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 | 16 | 19 | 21 | 17 | 15 | 17 | 17 |
N.S. |
1 | 0.00 | 0.80 | 0.95 | 1.05 | 0.85 | 0.75 | 0.85 | 0.85 |
time (sec) |
N/A | 0.000 | 0.189 | 0.669 | 0.272 | 0.241 | 18.125 | 0.387 | 13.433 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 40 | 37 | 37 | 408 | 61 | 39 | 147 | 43 |
N.S. |
1 | 1.48 | 1.37 | 1.37 | 15.11 | 2.26 | 1.44 | 5.44 | 1.59 |
time (sec) |
N/A | 0.748 | 0.091 | 0.639 | 0.245 | 0.251 | 0.107 | 0.347 | 0.179 |
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 | 13 | 13 | 16 | 13 | 15 | 15 | 13 | 17 |
N.S. |
1 | 0.54 | 0.54 | 0.67 | 0.54 | 0.62 | 0.62 | 0.54 | 0.71 |
time (sec) |
N/A | 0.143 | 0.004 | 0.056 | 0.183 | 0.232 | 0.039 | 0.285 | 0.043 |
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 | 25 | 25 | 24 | 23 | 23 | 24 | 23 | 23 |
N.S. |
1 | 1.39 | 1.39 | 1.33 | 1.28 | 1.28 | 1.33 | 1.28 | 1.28 |
time (sec) |
N/A | 0.297 | 0.021 | 0.026 | 0.193 | 0.249 | 0.057 | 0.268 | 12.842 |
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 | 24 | 0 | 23 | 22 | 35 | 40 | 22 | 0 | 22 |
N.S. |
1 | 0.00 | 0.96 | 0.92 | 1.46 | 1.67 | 0.92 | 0.00 | 0.92 |
time (sec) |
N/A | 0.000 | 0.298 | 13.536 | 0.239 | 0.251 | 1.287 | 0.000 | 13.299 |
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 | 29 | 0 | 29 | 36 | 58 | 35 | 31 | 121 | 36 |
N.S. |
1 | 0.00 | 1.00 | 1.24 | 2.00 | 1.21 | 1.07 | 4.17 | 1.24 |
time (sec) |
N/A | 0.000 | 0.152 | 0.146 | 0.322 | 0.278 | 0.090 | 0.366 | 0.863 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 25 | 22 | 21 | 24 | 19 | 21 | 0 |
N.S. |
1 | 1.00 | 0.93 | 0.81 | 0.78 | 0.89 | 0.70 | 0.78 | 0.00 |
time (sec) |
N/A | 3.472 | 0.782 | 1.939 | 0.307 | 0.261 | 0.124 | 0.335 | 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 | 12 | 12 | 13 | 12 | 12 | 10 | 14 | 12 |
N.S. |
1 | 0.63 | 0.63 | 0.68 | 0.63 | 0.63 | 0.53 | 0.74 | 0.63 |
time (sec) |
N/A | 0.172 | 0.005 | 0.194 | 0.180 | 0.249 | 0.053 | 0.286 | 0.049 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | B | A | B | B | B | B | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 0 | 84 | 22 | 179 | 179 | 88 | 248 | 0 |
N.S. |
1 | 0.00 | 3.82 | 1.00 | 8.14 | 8.14 | 4.00 | 11.27 | 0.00 |
time (sec) |
N/A | 0.000 | 4.288 | 0.276 | 0.251 | 0.250 | 0.195 | 0.374 | 0.000 |
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 | 23 | 248 | 38 | 63 | 107 | 112 | 122 | 55 | 92 |
N.S. |
1 | 10.78 | 1.65 | 2.74 | 4.65 | 4.87 | 5.30 | 2.39 | 4.00 |
time (sec) |
N/A | 0.869 | 0.054 | 1.005 | 0.203 | 0.250 | 5.344 | 0.315 | 0.576 |
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 | 25 | 22 | 22 | 23 | 40 | 21 | 24 | 21 | 20 |
N.S. |
1 | 0.88 | 0.88 | 0.92 | 1.60 | 0.84 | 0.96 | 0.84 | 0.80 |
time (sec) |
N/A | 0.183 | 0.014 | 0.392 | 0.308 | 0.240 | 0.072 | 0.301 | 13.105 |
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 | 33 | 24 | 24 | 24 | 23 | 26 | 19 | 26 | 23 |
N.S. |
1 | 0.73 | 0.73 | 0.73 | 0.70 | 0.79 | 0.58 | 0.79 | 0.70 |
time (sec) |
N/A | 0.199 | 0.022 | 0.055 | 0.193 | 0.248 | 0.053 | 0.284 | 0.075 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 11 | 14 | 11 | 11 | 26 | 10 | 7 | 23 | 10 |
N.S. |
1 | 1.27 | 1.00 | 1.00 | 2.36 | 0.91 | 0.64 | 2.09 | 0.91 |
time (sec) |
N/A | 0.167 | 0.009 | 0.270 | 0.209 | 0.239 | 0.054 | 0.277 | 13.139 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | B | A | A | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 53 | 39 | 33 | 57 | 40 | 32 | 53 | 0 |
N.S. |
1 | 2.12 | 1.56 | 1.32 | 2.28 | 1.60 | 1.28 | 2.12 | 0.00 |
time (sec) |
N/A | 0.852 | 0.495 | 1.410 | 0.294 | 0.254 | 1.158 | 0.333 | 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 | 18 | 20 | 18 | 16 | 15 | 15 | 15 | 15 | 17 |
N.S. |
1 | 1.11 | 1.00 | 0.89 | 0.83 | 0.83 | 0.83 | 0.83 | 0.94 |
time (sec) |
N/A | 0.504 | 0.163 | 0.207 | 0.231 | 0.258 | 0.050 | 0.298 | 0.097 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | A | A | F(-2) | B | B |
verified |
N/A | N/A | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 33 | 0 | 49 | 566 | 46 | 49 | 0 | 81 | 51 |
N.S. |
1 | 0.00 | 1.48 | 17.15 | 1.39 | 1.48 | 0.00 | 2.45 | 1.55 |
time (sec) |
N/A | 0.000 | 0.201 | 0.233 | 0.418 | 0.279 | 0.000 | 7.237 | 15.816 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | B | B | B | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 64 | 64 | 59 | 104 | 48 | 46 | 58 | 54 |
N.S. |
1 | 2.67 | 2.67 | 2.46 | 4.33 | 2.00 | 1.92 | 2.42 | 2.25 |
time (sec) |
N/A | 0.273 | 0.026 | 0.205 | 0.189 | 0.252 | 0.093 | 0.298 | 13.200 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 37 | 115 | 30 | 29 | 28 | 30 | 0 | 29 | 26 |
N.S. |
1 | 3.11 | 0.81 | 0.78 | 0.76 | 0.81 | 0.00 | 0.78 | 0.70 |
time (sec) |
N/A | 0.324 | 0.026 | 0.338 | 0.248 | 0.261 | 0.000 | 0.293 | 13.178 |
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 | 26 | 25 | 46 | 24 | 56 | 23 | 19 | 23 | 23 |
N.S. |
1 | 0.96 | 1.77 | 0.92 | 2.15 | 0.88 | 0.73 | 0.88 | 0.88 |
time (sec) |
N/A | 0.979 | 0.203 | 1.506 | 0.361 | 0.253 | 0.304 | 1.070 | 15.717 |
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 | 22 | 22 | 19 | 18 | 23 | 19 | 23 | 21 |
N.S. |
1 | 1.16 | 1.16 | 1.00 | 0.95 | 1.21 | 1.00 | 1.21 | 1.11 |
time (sec) |
N/A | 0.287 | 0.460 | 0.148 | 0.265 | 0.244 | 0.097 | 0.287 | 0.138 |
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 | 18 | 0 | 18 | 18 | 16 | 16 | 26 | 17 | 31 |
N.S. |
1 | 0.00 | 1.00 | 1.00 | 0.89 | 0.89 | 1.44 | 0.94 | 1.72 |
time (sec) |
N/A | 0.000 | 0.640 | 0.051 | 0.224 | 0.252 | 0.089 | 0.286 | 13.502 |
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 | 12 | 12 | 12 | 11 | 11 | 10 | 11 | 11 |
N.S. |
1 | 0.86 | 0.86 | 0.86 | 0.79 | 0.79 | 0.71 | 0.79 | 0.79 |
time (sec) |
N/A | 0.254 | 0.013 | 0.239 | 0.194 | 0.247 | 0.053 | 0.279 | 13.167 |
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 | 30 | 0 | 25 | 22 | 21 | 23 | 19 | 0 | 21 |
N.S. |
1 | 0.00 | 0.83 | 0.73 | 0.70 | 0.77 | 0.63 | 0.00 | 0.70 |
time (sec) |
N/A | 0.000 | 0.192 | 0.206 | 0.351 | 0.248 | 0.116 | 0.000 | 12.533 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 36 | 48 | 89 | 66 | 31 | 104 | 38 |
N.S. |
1 | 1.00 | 1.29 | 1.71 | 3.18 | 2.36 | 1.11 | 3.71 | 1.36 |
time (sec) |
N/A | 1.194 | 1.236 | 1.449 | 0.301 | 0.240 | 0.109 | 0.297 | 12.863 |
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 | 9 | 7 | 7 | 7 | 6 | 6 | 5 | 6 | 6 |
N.S. |
1 | 0.78 | 0.78 | 0.78 | 0.67 | 0.67 | 0.56 | 0.67 | 0.67 |
time (sec) |
N/A | 0.132 | 0.001 | 0.062 | 0.185 | 0.230 | 0.032 | 0.282 | 0.016 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | B | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 51 | 27 | 19 | 43 | 38 | 73 | 50 | 51 |
N.S. |
1 | 2.12 | 1.12 | 0.79 | 1.79 | 1.58 | 3.04 | 2.08 | 2.12 |
time (sec) |
N/A | 0.210 | 0.017 | 0.311 | 0.186 | 0.244 | 0.129 | 0.293 | 13.020 |
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 | 15 | 31 | 24 | 20 | 16 | 16 | 22 | 16 | 12 |
N.S. |
1 | 2.07 | 1.60 | 1.33 | 1.07 | 1.07 | 1.47 | 1.07 | 0.80 |
time (sec) |
N/A | 0.162 | 0.010 | 0.073 | 0.182 | 0.249 | 0.056 | 0.286 | 0.071 |
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 | 18 | 18 | 19 | 18 | 21 | 19 | 18 | 22 |
N.S. |
1 | 1.00 | 1.00 | 1.06 | 1.00 | 1.17 | 1.06 | 1.00 | 1.22 |
time (sec) |
N/A | 0.169 | 0.005 | 0.075 | 0.196 | 0.259 | 0.057 | 0.303 | 13.029 |
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 | 12 | 12 | 11 | 14 | 14 | 14 | 14 | 14 |
N.S. |
1 | 0.92 | 0.92 | 0.85 | 1.08 | 1.08 | 1.08 | 1.08 | 1.08 |
time (sec) |
N/A | 0.190 | 0.061 | 0.142 | 0.197 | 0.246 | 0.054 | 0.280 | 14.064 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | A | B | B | B | F | B |
verified |
N/A | N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 0 | 0 | 36 | 226 | 218 | 70 | 0 | 221 |
N.S. |
1 | 0.00 | 0.00 | 1.38 | 8.69 | 8.38 | 2.69 | 0.00 | 8.50 |
time (sec) |
N/A | 0.000 | 0.000 | 10.032 | 3.786 | 0.268 | 1.806 | 0.000 | 28.110 |
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 | 14 | 18 | 18 | 17 | 0 | 16 | 22 | 16 | 13 |
N.S. |
1 | 1.29 | 1.29 | 1.21 | 0.00 | 1.14 | 1.57 | 1.14 | 0.93 |
time (sec) |
N/A | 0.180 | 0.029 | 0.206 | 0.000 | 0.260 | 0.100 | 0.275 | 14.031 |
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 | 22 | 40 | 24 | 20 | 21 | 23 |
N.S. |
1 | 0.00 | 1.70 | 0.81 | 1.48 | 0.89 | 0.74 | 0.78 | 0.85 |
time (sec) |
N/A | 0.000 | 1.972 | 0.164 | 0.224 | 0.259 | 0.099 | 0.288 | 14.202 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | A | A | A | A | A | B |
verified |
N/A | N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 0 | 0 | 17 | 16 | 16 | 15 | 16 | 16 |
N.S. |
1 | 0.00 | 0.00 | 1.06 | 1.00 | 1.00 | 0.94 | 1.00 | 1.00 |
time (sec) |
N/A | 0.000 | 0.000 | 2.882 | 0.225 | 0.242 | 0.443 | 0.375 | 14.220 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | B | B | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 0 | 28 | 37 | 29 | 29 | 58 | 83 | 0 |
N.S. |
1 | 0.00 | 1.00 | 1.32 | 1.04 | 1.04 | 2.07 | 2.96 | 0.00 |
time (sec) |
N/A | 0.000 | 0.259 | 0.473 | 0.255 | 0.246 | 0.173 | 0.421 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | A | A | A | A | F(-1) | F(-1) |
verified |
N/A | N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 0 | 0 | 54 | 61 | 50 | 26 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 1.69 | 1.91 | 1.56 | 0.81 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 6.291 | 0.235 | 0.247 | 0.539 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | A | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 70 | 26 | 23 | 19 | 24 | 0 | 0 | 35 |
N.S. |
1 | 3.04 | 1.13 | 1.00 | 0.83 | 1.04 | 0.00 | 0.00 | 1.52 |
time (sec) |
N/A | 0.755 | 0.128 | 0.869 | 0.249 | 0.253 | 0.000 | 0.000 | 14.560 |
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 | 15 | 21 | 15 | 15 | 64 | 17 | 14 | 17 | 14 |
N.S. |
1 | 1.40 | 1.00 | 1.00 | 4.27 | 1.13 | 0.93 | 1.13 | 0.93 |
time (sec) |
N/A | 0.280 | 0.050 | 0.114 | 0.188 | 0.236 | 0.048 | 0.309 | 13.829 |
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 | 20 | 153 | 49 | 51 | 96 | 48 | 70 | 48 | 27 |
N.S. |
1 | 7.65 | 2.45 | 2.55 | 4.80 | 2.40 | 3.50 | 2.40 | 1.35 |
time (sec) |
N/A | 0.344 | 0.080 | 0.226 | 0.332 | 0.266 | 0.113 | 0.308 | 0.249 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | B | B | B | B | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 38 | 0 | 44 | 34 | 105 | 136 | 58 | 14409 | 102 |
N.S. |
1 | 0.00 | 1.16 | 0.89 | 2.76 | 3.58 | 1.53 | 379.18 | 2.68 |
time (sec) |
N/A | 0.000 | 0.494 | 3.566 | 0.364 | 0.260 | 0.184 | 1.988 | 15.165 |
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 | 19 | 19 | 21 | 22 | 20 | 32 | 20 | 20 |
N.S. |
1 | 1.00 | 1.00 | 1.11 | 1.16 | 1.05 | 1.68 | 1.05 | 1.05 |
time (sec) |
N/A | 0.522 | 0.052 | 0.259 | 0.215 | 0.250 | 0.078 | 0.335 | 14.124 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | A | A | A | A | A | B |
verified |
N/A | N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 0 | 0 | 25 | 25 | 24 | 20 | 20 | 35 |
N.S. |
1 | 0.00 | 0.00 | 0.93 | 0.93 | 0.89 | 0.74 | 0.74 | 1.30 |
time (sec) |
N/A | 0.000 | 0.000 | 61.796 | 0.304 | 0.257 | 0.076 | 0.318 | 14.132 |
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 | 24 | 33 | 24 | 39 | 114 | 31 | 26 | 24 | 31 |
N.S. |
1 | 1.38 | 1.00 | 1.62 | 4.75 | 1.29 | 1.08 | 1.00 | 1.29 |
time (sec) |
N/A | 0.532 | 0.230 | 0.284 | 0.268 | 0.247 | 0.086 | 0.288 | 14.266 |
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 | 22 | 16 | 15 | 14 | 25 | 14 | 66 | 14 |
N.S. |
1 | 1.16 | 0.84 | 0.79 | 0.74 | 1.32 | 0.74 | 3.47 | 0.74 |
time (sec) |
N/A | 0.181 | 0.014 | 0.163 | 0.176 | 0.265 | 0.059 | 0.316 | 14.095 |
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 | 19 | 39 | 15 | 15 | 27 | 27 | 27 | 12 | 28 |
N.S. |
1 | 2.05 | 0.79 | 0.79 | 1.42 | 1.42 | 1.42 | 0.63 | 1.47 |
time (sec) |
N/A | 0.202 | 0.008 | 0.041 | 0.191 | 0.245 | 0.101 | 0.289 | 13.604 |
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 | 18 | 16 | 14 | 13 | 22 | 14 | 15 | 13 |
N.S. |
1 | 0.60 | 0.53 | 0.47 | 0.43 | 0.73 | 0.47 | 0.50 | 0.43 |
time (sec) |
N/A | 0.218 | 0.042 | 0.137 | 0.182 | 0.236 | 0.101 | 0.317 | 0.140 |
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 | 13 | 13 | 12 | 11 | 11 | 12 | 19 | 11 |
N.S. |
1 | 0.65 | 0.65 | 0.60 | 0.55 | 0.55 | 0.60 | 0.95 | 0.55 |
time (sec) |
N/A | 0.286 | 0.066 | 0.080 | 0.217 | 0.254 | 0.060 | 0.296 | 0.069 |
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 | 20 | 18 | 14 | 15 | 16 | 12 | 15 | 12 |
N.S. |
1 | 0.83 | 0.75 | 0.58 | 0.62 | 0.67 | 0.50 | 0.62 | 0.50 |
time (sec) |
N/A | 0.144 | 0.006 | 0.059 | 0.192 | 0.241 | 0.048 | 0.297 | 13.562 |
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 | 24 | 22 | 31 | 31 | 30 | 32 | 29 | 56 | 35 |
N.S. |
1 | 0.92 | 1.29 | 1.29 | 1.25 | 1.33 | 1.21 | 2.33 | 1.46 |
time (sec) |
N/A | 0.860 | 0.368 | 0.413 | 2.754 | 0.243 | 0.163 | 0.398 | 13.576 |
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 | 23 | 23 | 22 | 21 | 35 | 20 | 21 | 21 |
N.S. |
1 | 0.66 | 0.66 | 0.63 | 0.60 | 1.00 | 0.57 | 0.60 | 0.60 |
time (sec) |
N/A | 0.457 | 0.059 | 0.212 | 0.232 | 0.236 | 0.093 | 0.334 | 13.479 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | B | B | B | B | B | B | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 0 | 125 | 65 | 512 | 105 | 104 | 357 | 75 |
N.S. |
1 | 0.00 | 4.46 | 2.32 | 18.29 | 3.75 | 3.71 | 12.75 | 2.68 |
time (sec) |
N/A | 0.000 | 0.062 | 0.444 | 0.218 | 0.255 | 0.160 | 0.313 | 14.238 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | B | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 47 | 34 | 34 | 37 | 37 | 32 | 37 | 30 |
N.S. |
1 | 2.47 | 1.79 | 1.79 | 1.95 | 1.95 | 1.68 | 1.95 | 1.58 |
time (sec) |
N/A | 0.183 | 0.024 | 0.072 | 0.186 | 0.235 | 0.026 | 0.295 | 0.097 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | B | B | B | B | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 0 | 41 | 56 | 82 | 82 | 209 | 283 | 0 |
N.S. |
1 | 0.00 | 1.46 | 2.00 | 2.93 | 2.93 | 7.46 | 10.11 | 0.00 |
time (sec) |
N/A | 0.000 | 0.081 | 1.143 | 0.250 | 0.258 | 0.326 | 0.338 | 0.000 |
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 | 27 | 0 | 24 | 25 | 38 | 38 | 19 | 67 | 45 |
N.S. |
1 | 0.00 | 0.89 | 0.93 | 1.41 | 1.41 | 0.70 | 2.48 | 1.67 |
time (sec) |
N/A | 0.000 | 0.317 | 0.579 | 0.223 | 0.247 | 0.072 | 0.300 | 0.491 |