Detailed conclusion table per each integral is given by the table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given as F.
In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 0 | 18 | 17 | 16 | 16 | 12 | 16 | 16 |
N.S. |
1 | 0.00 | 0.75 | 0.71 | 0.67 | 0.67 | 0.50 | 0.67 | 0.67 |
time (sec) |
N/A | 0.000 | 0.365 | 0.105 | 0.218 | 0.260 | 0.070 | 0.263 | 13.139 |
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 | 27 | 75 | 23 | 25 | 22 | 25 | 20 | 25 | 23 |
N.S. |
1 | 2.78 | 0.85 | 0.93 | 0.81 | 0.93 | 0.74 | 0.93 | 0.85 |
time (sec) |
N/A | 0.221 | 0.081 | 0.084 | 0.259 | 0.261 | 0.117 | 0.282 | 10.832 |
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 | 27 | 32 | 30 | 31 | 33 | 37 | 27 | 0 | 42 |
N.S. |
1 | 1.19 | 1.11 | 1.15 | 1.22 | 1.37 | 1.00 | 0.00 | 1.56 |
time (sec) |
N/A | 0.677 | 0.083 | 0.155 | 0.306 | 0.265 | 0.134 | 0.000 | 12.376 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | B | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 55 | 49 | 31 | 44 | 53 | 42 | 44 | 39 |
N.S. |
1 | 2.39 | 2.13 | 1.35 | 1.91 | 2.30 | 1.83 | 1.91 | 1.70 |
time (sec) |
N/A | 0.358 | 0.031 | 0.313 | 0.182 | 0.249 | 0.653 | 0.268 | 10.819 |
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 | 23 | 38 | 25 | 25 | 30 | 30 | 19 | 30 | 20 |
N.S. |
1 | 1.65 | 1.09 | 1.09 | 1.30 | 1.30 | 0.83 | 1.30 | 0.87 |
time (sec) |
N/A | 0.192 | 0.017 | 0.083 | 0.178 | 0.255 | 0.030 | 0.256 | 0.046 |
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 | 26 | 0 | 26 | 27 | 26 | 28 | 27 | 0 | 26 |
N.S. |
1 | 0.00 | 1.00 | 1.04 | 1.00 | 1.08 | 1.04 | 0.00 | 1.00 |
time (sec) |
N/A | 0.000 | 3.712 | 0.556 | 0.254 | 0.266 | 0.124 | 0.000 | 12.572 |
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 | 22 | 15 | 15 | 20 | 20 | 12 | 20 | 14 |
N.S. |
1 | 1.22 | 0.83 | 0.83 | 1.11 | 1.11 | 0.67 | 1.11 | 0.78 |
time (sec) |
N/A | 0.150 | 0.014 | 0.053 | 0.182 | 0.261 | 0.050 | 0.256 | 0.095 |
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 | 15 | 15 | 14 | 14 | 13 | 15 | 14 | 13 |
N.S. |
1 | 0.79 | 0.79 | 0.74 | 0.74 | 0.68 | 0.79 | 0.74 | 0.68 |
time (sec) |
N/A | 0.143 | 0.006 | 0.057 | 0.180 | 0.239 | 0.051 | 0.277 | 10.736 |
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 | 17 | 12 | 11 | 11 | 14 | 11 | 11 |
N.S. |
1 | 1.00 | 1.00 | 0.71 | 0.65 | 0.65 | 0.82 | 0.65 | 0.65 |
time (sec) |
N/A | 0.173 | 0.020 | 0.069 | 0.202 | 0.260 | 0.060 | 0.305 | 0.067 |
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 | 32 | 0 | 37 | 53 | 55 | 65 | 42 | 65 | 58 |
N.S. |
1 | 0.00 | 1.16 | 1.66 | 1.72 | 2.03 | 1.31 | 2.03 | 1.81 |
time (sec) |
N/A | 0.000 | 5.755 | 0.127 | 0.257 | 0.293 | 0.121 | 0.349 | 13.201 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | B | A | B | B | B | B | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 0 | 81 | 43 | 73 | 60 | 58 | 82 | 126 |
N.S. |
1 | 0.00 | 2.61 | 1.39 | 2.35 | 1.94 | 1.87 | 2.65 | 4.06 |
time (sec) |
N/A | 0.000 | 0.209 | 1.360 | 0.337 | 0.253 | 0.204 | 0.372 | 14.991 |
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 | 16 | 17 | 14 | 25 | 14 | 15 | 14 | 13 |
N.S. |
1 | 0.84 | 0.89 | 0.74 | 1.32 | 0.74 | 0.79 | 0.74 | 0.68 |
time (sec) |
N/A | 0.265 | 0.108 | 0.788 | 0.291 | 0.244 | 0.093 | 0.282 | 11.620 |
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 | 28 | 22 | 23 | 22 | 29 | 19 | 22 | 22 |
N.S. |
1 | 1.33 | 1.05 | 1.10 | 1.05 | 1.38 | 0.90 | 1.05 | 1.05 |
time (sec) |
N/A | 0.304 | 0.024 | 0.256 | 0.188 | 0.249 | 0.241 | 0.275 | 12.493 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 6 | 4 | 4 | 6 | 5 | 5 | 5 | 5 | 5 |
N.S. |
1 | 0.67 | 0.67 | 1.00 | 0.83 | 0.83 | 0.83 | 0.83 | 0.83 |
time (sec) |
N/A | 0.121 | 0.000 | 0.011 | 0.187 | 0.243 | 0.017 | 0.276 | 0.005 |
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 | 28 | 0 | 24 | 19 | 16 | 44 | 19 | 0 | 16 |
N.S. |
1 | 0.00 | 0.86 | 0.68 | 0.57 | 1.57 | 0.68 | 0.00 | 0.57 |
time (sec) |
N/A | 0.000 | 0.305 | 0.095 | 0.340 | 0.263 | 0.180 | 0.000 | 12.960 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | A | A | B | A | F | B |
verified |
N/A | N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 0 | 0 | 27 | 20 | 77 | 36 | 0 | 21 |
N.S. |
1 | 0.00 | 0.00 | 1.12 | 0.83 | 3.21 | 1.50 | 0.00 | 0.88 |
time (sec) |
N/A | 0.000 | 0.000 | 0.413 | 0.437 | 0.263 | 0.263 | 0.000 | 12.151 |
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 | 8 | 8 | 8 | 9 | 7 | 8 | 5 | 8 | 8 |
N.S. |
1 | 1.00 | 1.00 | 1.12 | 0.88 | 1.00 | 0.62 | 1.00 | 1.00 |
time (sec) |
N/A | 0.183 | 0.039 | 0.736 | 0.226 | 0.247 | 0.049 | 0.257 | 12.470 |
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 | 24 | 24 | 21 | 20 | 20 | 17 | 23 | 18 |
N.S. |
1 | 1.00 | 1.00 | 0.88 | 0.83 | 0.83 | 0.71 | 0.96 | 0.75 |
time (sec) |
N/A | 0.225 | 0.011 | 0.048 | 0.182 | 0.241 | 0.058 | 0.272 | 11.053 |
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 | 20 | 60 | 16 | 47 | 45 | 45 | 44 | 45 | 19 |
N.S. |
1 | 3.00 | 0.80 | 2.35 | 2.25 | 2.25 | 2.20 | 2.25 | 0.95 |
time (sec) |
N/A | 0.277 | 0.190 | 0.039 | 0.181 | 0.264 | 0.064 | 0.260 | 0.127 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | B | B | B | B | B | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 132 | 182 | 190 | 195 | 137 | 226 | 159 | 0 |
N.S. |
1 | 6.00 | 8.27 | 8.64 | 8.86 | 6.23 | 10.27 | 7.23 | 0.00 |
time (sec) |
N/A | 0.373 | 0.139 | 0.215 | 0.187 | 0.268 | 2.724 | 0.294 | 0.000 |
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 | 24 | 17 | 17 | 16 | 29 | 17 | 15 | 15 | 0 |
N.S. |
1 | 0.71 | 0.71 | 0.67 | 1.21 | 0.71 | 0.62 | 0.62 | 0.00 |
time (sec) |
N/A | 0.278 | 0.045 | 0.104 | 0.184 | 0.243 | 0.066 | 0.272 | 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 | 14 | 11 | 9 | 10 | 9 | 9 | 5 | 9 | 7 |
N.S. |
1 | 0.79 | 0.64 | 0.71 | 0.64 | 0.64 | 0.36 | 0.64 | 0.50 |
time (sec) |
N/A | 0.122 | 0.000 | 0.005 | 0.186 | 0.241 | 0.020 | 0.260 | 0.192 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 109 | 50 | 49 | 43 | 47 | 80 | 43 | 24 |
N.S. |
1 | 3.89 | 1.79 | 1.75 | 1.54 | 1.68 | 2.86 | 1.54 | 0.86 |
time (sec) |
N/A | 1.033 | 7.635 | 0.161 | 0.235 | 0.258 | 0.120 | 0.272 | 0.415 |
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 | 20 | 113 | 54 | 24 | 218 | 64 | 85 | 76 | 62 |
N.S. |
1 | 5.65 | 2.70 | 1.20 | 10.90 | 3.20 | 4.25 | 3.80 | 3.10 |
time (sec) |
N/A | 0.524 | 5.049 | 0.100 | 0.199 | 0.251 | 0.106 | 0.262 | 0.180 |
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 | 23 | 23 | 22 | 19 | 21 | 15 | 21 | 21 |
N.S. |
1 | 0.92 | 0.92 | 0.88 | 0.76 | 0.84 | 0.60 | 0.84 | 0.84 |
time (sec) |
N/A | 0.602 | 0.138 | 0.833 | 0.226 | 0.252 | 0.089 | 0.269 | 14.514 |
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 | 90 | 12 | 12 | 19 | 11 | 10 | 11 | 11 |
N.S. |
1 | 6.43 | 0.86 | 0.86 | 1.36 | 0.79 | 0.71 | 0.79 | 0.79 |
time (sec) |
N/A | 0.528 | 0.166 | 0.080 | 0.194 | 0.235 | 0.053 | 0.254 | 11.419 |
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 | 25 | 27 | 27 | 25 | 30 | 24 | 29 | 49 | 29 |
N.S. |
1 | 1.08 | 1.08 | 1.00 | 1.20 | 0.96 | 1.16 | 1.96 | 1.16 |
time (sec) |
N/A | 0.543 | 0.048 | 0.184 | 0.259 | 0.249 | 0.068 | 0.261 | 11.837 |
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 | 22 | 17 | 20 | 18 | 19 | 17 | 18 | 13 |
N.S. |
1 | 1.22 | 0.94 | 1.11 | 1.00 | 1.06 | 0.94 | 1.00 | 0.72 |
time (sec) |
N/A | 0.300 | 0.108 | 0.035 | 0.187 | 0.240 | 0.047 | 0.270 | 0.065 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | B | B | B | B | B | B |
verified |
N/A | N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 0 | 0 | 109 | 65 | 120 | 112 | 215 | 56 |
N.S. |
1 | 0.00 | 0.00 | 3.52 | 2.10 | 3.87 | 3.61 | 6.94 | 1.81 |
time (sec) |
N/A | 0.000 | 0.000 | 23.028 | 0.262 | 0.280 | 0.858 | 3.983 | 13.873 |
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 | 32 | 32 | 33 | 33 | 29 | 33 | 33 |
N.S. |
1 | 0.00 | 1.03 | 1.03 | 1.06 | 1.06 | 0.94 | 1.06 | 1.06 |
time (sec) |
N/A | 0.000 | 0.048 | 0.523 | 0.185 | 0.262 | 0.145 | 0.326 | 12.642 |
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 | 26 | 0 | 26 | 24 | 23 | 23 | 17 | 23 | 140 |
N.S. |
1 | 0.00 | 1.00 | 0.92 | 0.88 | 0.88 | 0.65 | 0.88 | 5.38 |
time (sec) |
N/A | 0.000 | 0.071 | 4.367 | 0.232 | 0.260 | 0.483 | 0.305 | 12.842 |
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 | 25 | 19 | 22 | 25 | 21 | 17 | 25 | 14 |
N.S. |
1 | 1.00 | 0.76 | 0.88 | 1.00 | 0.84 | 0.68 | 1.00 | 0.56 |
time (sec) |
N/A | 0.147 | 0.003 | 0.051 | 0.191 | 0.252 | 0.034 | 0.248 | 0.051 |
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 | 9 | 7 | 8 | 7 | 7 | 5 | 7 | 7 |
N.S. |
1 | 0.38 | 0.29 | 0.33 | 0.29 | 0.29 | 0.21 | 0.29 | 0.29 |
time (sec) |
N/A | 0.136 | 0.001 | 0.572 | 0.189 | 0.253 | 0.037 | 0.283 | 0.046 |
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 | 12 | 12 | 10 | 12 | 12 |
N.S. |
1 | 1.00 | 1.00 | 0.85 | 0.92 | 0.92 | 0.77 | 0.92 | 0.92 |
time (sec) |
N/A | 0.146 | 0.003 | 0.069 | 0.182 | 0.260 | 0.063 | 0.273 | 0.069 |
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 | 29 | 0 | 35 | 28 | 29 | 25 | 27 | 0 | 0 |
N.S. |
1 | 0.00 | 1.21 | 0.97 | 1.00 | 0.86 | 0.93 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.173 | 15.240 | 0.340 | 0.272 | 18.727 | 0.000 | 0.000 |
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 | 37 | 34 | 35 | 37 | 31 | 37 | 31 | 22 |
N.S. |
1 | 1.76 | 1.62 | 1.67 | 1.76 | 1.48 | 1.76 | 1.48 | 1.05 |
time (sec) |
N/A | 0.216 | 0.017 | 0.091 | 0.180 | 0.256 | 0.102 | 0.266 | 11.076 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | B | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 0 | 28 | 47 | 28 | 65 | 32 | 45 | 48 |
N.S. |
1 | 0.00 | 0.97 | 1.62 | 0.97 | 2.24 | 1.10 | 1.55 | 1.66 |
time (sec) |
N/A | 0.000 | 0.182 | 28.020 | 0.516 | 0.267 | 0.722 | 0.821 | 11.408 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | C | A | B | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 85 | 188 | 29 | 88 | 27 | 26 | 88 | 27 |
N.S. |
1 | 2.74 | 6.06 | 0.94 | 2.84 | 0.87 | 0.84 | 2.84 | 0.87 |
time (sec) |
N/A | 0.690 | 0.472 | 0.315 | 0.418 | 0.251 | 0.147 | 0.278 | 11.425 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F(-2) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 37 | 37 | 28 | 0 | 27 | 0 | 34 | 31 |
N.S. |
1 | 1.95 | 1.95 | 1.47 | 0.00 | 1.42 | 0.00 | 1.79 | 1.63 |
time (sec) |
N/A | 1.420 | 0.670 | 0.237 | 0.000 | 0.252 | 0.000 | 0.281 | 11.268 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | B | A | B | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 51 | 80 | 46 | 50 | 73 | 46 | 44 | 47 |
N.S. |
1 | 2.12 | 3.33 | 1.92 | 2.08 | 3.04 | 1.92 | 1.83 | 1.96 |
time (sec) |
N/A | 0.289 | 0.039 | 0.081 | 0.178 | 0.241 | 0.219 | 0.257 | 11.022 |
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 | 22 | 22 | 22 | 22 | 22 | 17 | 22 | 24 |
N.S. |
1 | 0.81 | 0.81 | 0.81 | 0.81 | 0.81 | 0.63 | 0.81 | 0.89 |
time (sec) |
N/A | 0.657 | 0.109 | 0.636 | 0.209 | 0.263 | 0.093 | 0.257 | 11.835 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 0 | 35 | 25 | 0 | 25 | 22 | 26 | 27 |
N.S. |
1 | 0.00 | 1.17 | 0.83 | 0.00 | 0.83 | 0.73 | 0.87 | 0.90 |
time (sec) |
N/A | 0.000 | 0.094 | 9.977 | 0.000 | 0.264 | 0.498 | 0.333 | 12.059 |
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 | 21 | 51 | 20 | 19 | 151 | 36 | 27 | 25 | 29 |
N.S. |
1 | 2.43 | 0.95 | 0.90 | 7.19 | 1.71 | 1.29 | 1.19 | 1.38 |
time (sec) |
N/A | 0.358 | 0.069 | 0.092 | 0.195 | 0.256 | 0.165 | 0.261 | 11.084 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | F(-1) | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 0 | 25 | 25 | 30 | 24 | 0 | 0 | 24 |
N.S. |
1 | 0.00 | 1.00 | 1.00 | 1.20 | 0.96 | 0.00 | 0.00 | 0.96 |
time (sec) |
N/A | 0.000 | 5.145 | 2.102 | 0.239 | 0.256 | 0.000 | 0.000 | 11.346 |
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 | 24 | 21 | 21 | 26 | 22 | 20 | 22 | 22 |
N.S. |
1 | 1.00 | 0.88 | 0.88 | 1.08 | 0.92 | 0.83 | 0.92 | 0.92 |
time (sec) |
N/A | 0.323 | 0.311 | 2.071 | 0.328 | 0.255 | 0.251 | 0.278 | 11.846 |
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 | 23 | 0 | 30 | 31 | 30 | 30 | 34 | 30 | 30 |
N.S. |
1 | 0.00 | 1.30 | 1.35 | 1.30 | 1.30 | 1.48 | 1.30 | 1.30 |
time (sec) |
N/A | 0.000 | 0.171 | 4.611 | 0.242 | 0.248 | 1.048 | 0.283 | 11.358 |
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 | 33 | 54 | 39 | 41 | 45 | 54 | 29 | 54 | 0 |
N.S. |
1 | 1.64 | 1.18 | 1.24 | 1.36 | 1.64 | 0.88 | 1.64 | 0.00 |
time (sec) |
N/A | 2.356 | 5.111 | 0.429 | 0.316 | 0.270 | 0.173 | 0.268 | 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 | 24 | 23 | 23 | 29 | 31 | 33 | 32 | 29 | 33 |
N.S. |
1 | 0.96 | 0.96 | 1.21 | 1.29 | 1.38 | 1.33 | 1.21 | 1.38 |
time (sec) |
N/A | 0.549 | 0.062 | 0.626 | 0.299 | 0.262 | 0.408 | 0.318 | 12.575 |
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 | 20 | 19 | 16 | 18 | 17 | 18 | 18 |
N.S. |
1 | 0.83 | 0.83 | 0.79 | 0.67 | 0.75 | 0.71 | 0.75 | 0.75 |
time (sec) |
N/A | 0.551 | 0.115 | 0.516 | 0.308 | 0.257 | 0.066 | 0.272 | 10.813 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F(-1) | B | B | B | F | B |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 0 | 27 | 0 | 296 | 83 | 76 | 0 | 234 |
N.S. |
1 | 0.00 | 1.12 | 0.00 | 12.33 | 3.46 | 3.17 | 0.00 | 9.75 |
time (sec) |
N/A | 0.000 | 1.292 | 0.000 | 0.416 | 0.272 | 0.564 | 0.000 | 12.078 |
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 | 12 | 0 | 12 | 13 | 39 | 39 | 36 | 63 | 0 |
N.S. |
1 | 0.00 | 1.00 | 1.08 | 3.25 | 3.25 | 3.00 | 5.25 | 0.00 |
time (sec) |
N/A | 0.000 | 0.196 | 0.631 | 0.217 | 0.280 | 0.067 | 0.277 | 0.000 |
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 | 20 | 17 | 17 | 18 | 40 | 17 | 14 | 17 | 17 |
N.S. |
1 | 0.85 | 0.85 | 0.90 | 2.00 | 0.85 | 0.70 | 0.85 | 0.85 |
time (sec) |
N/A | 0.261 | 0.040 | 0.511 | 0.294 | 0.258 | 0.068 | 0.280 | 10.976 |
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 | 23 | 25 | 25 | 24 | 25 | 27 | 24 | 28 | 25 |
N.S. |
1 | 1.09 | 1.09 | 1.04 | 1.09 | 1.17 | 1.04 | 1.22 | 1.09 |
time (sec) |
N/A | 0.313 | 0.013 | 0.047 | 0.183 | 0.257 | 0.077 | 0.291 | 10.773 |
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 | 35 | 26 | 26 | 23 | 23 | 22 | 25 | 25 |
N.S. |
1 | 1.94 | 1.44 | 1.44 | 1.28 | 1.28 | 1.22 | 1.39 | 1.39 |
time (sec) |
N/A | 0.463 | 0.028 | 1.027 | 0.220 | 0.253 | 0.103 | 0.272 | 11.778 |
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 | 29 | 0 | 39 | 41 | 59 | 48 | 36 | 39 | 39 |
N.S. |
1 | 0.00 | 1.34 | 1.41 | 2.03 | 1.66 | 1.24 | 1.34 | 1.34 |
time (sec) |
N/A | 0.000 | 0.225 | 0.606 | 0.289 | 0.273 | 0.258 | 0.267 | 11.144 |
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 | 13 | 13 | 13 | 12 | 12 | 14 | 13 | 12 |
N.S. |
1 | 0.68 | 0.68 | 0.68 | 0.63 | 0.63 | 0.74 | 0.68 | 0.63 |
time (sec) |
N/A | 0.128 | 0.004 | 0.457 | 0.178 | 0.248 | 0.032 | 0.263 | 0.099 |
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 | 20 | 25 | 11 | 9 | 11 | 19 | 9 | 11 |
N.S. |
1 | 0.65 | 0.81 | 0.35 | 0.29 | 0.35 | 0.61 | 0.29 | 0.35 |
time (sec) |
N/A | 0.133 | 0.000 | 0.018 | 0.174 | 0.247 | 0.020 | 0.266 | 0.002 |
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 | 24 | 93 | 24 | 82 | 98 | 74 | 82 | 90 | 39 |
N.S. |
1 | 3.88 | 1.00 | 3.42 | 4.08 | 3.08 | 3.42 | 3.75 | 1.62 |
time (sec) |
N/A | 0.296 | 0.034 | 0.205 | 0.183 | 0.259 | 0.110 | 0.258 | 10.900 |
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 | 17 | 0 | 17 | 16 | 15 | 15 | 14 | 15 | 15 |
N.S. |
1 | 0.00 | 1.00 | 0.94 | 0.88 | 0.88 | 0.82 | 0.88 | 0.88 |
time (sec) |
N/A | 0.000 | 0.268 | 0.136 | 0.229 | 0.256 | 0.093 | 0.276 | 11.018 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 261 | 29 | 32 | 28 | 29 | 88 | 49 | 29 |
N.S. |
1 | 9.00 | 1.00 | 1.10 | 0.97 | 1.00 | 3.03 | 1.69 | 1.00 |
time (sec) |
N/A | 6.235 | 0.166 | 4.065 | 0.266 | 0.264 | 1.510 | 7.167 | 13.469 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | B | B | B | B | F(-2) | B | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 0 | 70 | 69 | 102 | 68 | 0 | 90 | 173 |
N.S. |
1 | 0.00 | 2.50 | 2.46 | 3.64 | 2.43 | 0.00 | 3.21 | 6.18 |
time (sec) |
N/A | 0.000 | 0.092 | 0.650 | 0.326 | 0.273 | 0.000 | 0.399 | 12.072 |
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 | 16 | 16 | 16 | 21 | 15 | 14 | 17 | 15 |
N.S. |
1 | 0.94 | 0.94 | 0.94 | 1.24 | 0.88 | 0.82 | 1.00 | 0.88 |
time (sec) |
N/A | 0.330 | 0.069 | 2.204 | 0.320 | 0.254 | 0.139 | 0.267 | 11.762 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 81 | 25 | 24 | 23 | 23 | 24 | 75 | 24 |
N.S. |
1 | 2.53 | 0.78 | 0.75 | 0.72 | 0.72 | 0.75 | 2.34 | 0.75 |
time (sec) |
N/A | 0.222 | 0.239 | 0.098 | 0.181 | 0.245 | 0.133 | 0.266 | 11.299 |
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 | 15 | 15 | 14 | 13 | 13 | 14 | 13 | 10 |
N.S. |
1 | 0.68 | 0.68 | 0.64 | 0.59 | 0.59 | 0.64 | 0.59 | 0.45 |
time (sec) |
N/A | 0.149 | 0.012 | 0.079 | 0.187 | 0.243 | 0.084 | 0.267 | 0.059 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | B | F(-1) | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 33 | 0 | 31 | 24 | 21 | 198 | 0 | 0 | 21 |
N.S. |
1 | 0.00 | 0.94 | 0.73 | 0.64 | 6.00 | 0.00 | 0.00 | 0.64 |
time (sec) |
N/A | 0.000 | 0.099 | 0.177 | 1.306 | 0.269 | 0.000 | 0.000 | 12.148 |
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 | 46 | 42 | 41 | 47 | 47 | 39 | 47 | 33 |
N.S. |
1 | 1.64 | 1.50 | 1.46 | 1.68 | 1.68 | 1.39 | 1.68 | 1.18 |
time (sec) |
N/A | 0.205 | 0.007 | 0.067 | 0.179 | 0.236 | 0.025 | 0.267 | 11.167 |
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 | 23 | 38 | 29 | 25 | 24 | 24 | 27 | 24 | 22 |
N.S. |
1 | 1.65 | 1.26 | 1.09 | 1.04 | 1.04 | 1.17 | 1.04 | 0.96 |
time (sec) |
N/A | 0.163 | 0.018 | 0.046 | 0.199 | 0.268 | 0.045 | 0.272 | 0.057 |
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 | 24 | 24 | 22 | 23 | 26 | 20 | 26 | 24 |
N.S. |
1 | 1.26 | 1.26 | 1.16 | 1.21 | 1.37 | 1.05 | 1.37 | 1.26 |
time (sec) |
N/A | 0.391 | 0.023 | 0.253 | 0.191 | 0.250 | 0.634 | 0.317 | 11.593 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 61 | 31 | 40 | 0 | 69 | 0 | 65 | 36 |
N.S. |
1 | 1.97 | 1.00 | 1.29 | 0.00 | 2.23 | 0.00 | 2.10 | 1.16 |
time (sec) |
N/A | 0.288 | 0.500 | 0.278 | 0.000 | 0.260 | 0.000 | 0.265 | 11.289 |
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 | 31 | 54 | 29 | 34 | 42 | 37 | 34 | 45 | 51 |
N.S. |
1 | 1.74 | 0.94 | 1.10 | 1.35 | 1.19 | 1.10 | 1.45 | 1.65 |
time (sec) |
N/A | 0.217 | 0.055 | 0.257 | 0.190 | 0.258 | 0.298 | 0.266 | 11.285 |
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 | 22 | 24 | 22 | 20 | 25 | 19 | 21 | 21 |
N.S. |
1 | 1.10 | 1.20 | 1.10 | 1.00 | 1.25 | 0.95 | 1.05 | 1.05 |
time (sec) |
N/A | 0.184 | 0.007 | 0.070 | 0.190 | 0.233 | 0.052 | 0.268 | 10.853 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | B | B | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 36 | 525 | 37 | 94 | 105 | 72 | 31 | 91 | 89 |
N.S. |
1 | 14.58 | 1.03 | 2.61 | 2.92 | 2.00 | 0.86 | 2.53 | 2.47 |
time (sec) |
N/A | 5.038 | 0.177 | 32.369 | 0.266 | 0.263 | 0.282 | 0.667 | 11.433 |
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 | 10 | 10 | 7 | 6 | 6 | 10 | 7 | 6 |
N.S. |
1 | 0.83 | 0.83 | 0.58 | 0.50 | 0.50 | 0.83 | 0.58 | 0.50 |
time (sec) |
N/A | 0.122 | 0.001 | 0.329 | 0.187 | 0.242 | 0.022 | 0.259 | 0.048 |
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 | 23 | 23 | 26 | 25 | 24 | 27 | 25 |
N.S. |
1 | 0.00 | 1.05 | 1.05 | 1.18 | 1.14 | 1.09 | 1.23 | 1.14 |
time (sec) |
N/A | 0.000 | 0.159 | 0.750 | 0.222 | 0.249 | 0.155 | 0.272 | 11.210 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | C | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 12 | 29 | 12 | 13 | 182 | 14 | 14 | 38 | 14 |
N.S. |
1 | 2.42 | 1.00 | 1.08 | 15.17 | 1.17 | 1.17 | 3.17 | 1.17 |
time (sec) |
N/A | 0.172 | 0.050 | 0.115 | 0.323 | 0.254 | 0.063 | 0.267 | 0.101 |
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 | 29 | 400 | 29 | 37 | 703 | 44 | 31 | 45 | 28 |
N.S. |
1 | 13.79 | 1.00 | 1.28 | 24.24 | 1.52 | 1.07 | 1.55 | 0.97 |
time (sec) |
N/A | 1.471 | 5.163 | 0.860 | 0.252 | 0.257 | 0.360 | 0.281 | 11.792 |
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 | 26 | 29 | 29 | 27 | 42 | 26 | 26 | 0 | 28 |
N.S. |
1 | 1.12 | 1.12 | 1.04 | 1.62 | 1.00 | 1.00 | 0.00 | 1.08 |
time (sec) |
N/A | 1.363 | 0.146 | 101.284 | 0.329 | 0.257 | 29.026 | 0.000 | 11.970 |
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 | 21 | 19 | 19 | 19 | 19 | 20 | 19 | 18 |
N.S. |
1 | 1.11 | 1.00 | 1.00 | 1.00 | 1.00 | 1.05 | 1.00 | 0.95 |
time (sec) |
N/A | 0.177 | 0.025 | 0.071 | 0.189 | 0.240 | 0.071 | 0.255 | 10.648 |
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 | 25 | 24 | 22 | 28 | 0 | 42 | 29 | 40 | 27 |
N.S. |
1 | 0.96 | 0.88 | 1.12 | 0.00 | 1.68 | 1.16 | 1.60 | 1.08 |
time (sec) |
N/A | 0.488 | 0.022 | 0.596 | 0.000 | 0.249 | 0.196 | 0.269 | 0.157 |
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 | 20 | 19 | 32 | 32 | 17 | 22 | 18 |
N.S. |
1 | 0.00 | 0.74 | 0.70 | 1.19 | 1.19 | 0.63 | 0.81 | 0.67 |
time (sec) |
N/A | 0.000 | 1.872 | 2.399 | 0.211 | 0.245 | 0.080 | 0.257 | 11.487 |
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 | 25 | 0 | 25 | 28 | 56 | 56 | 27 | 68 | 57 |
N.S. |
1 | 0.00 | 1.00 | 1.12 | 2.24 | 2.24 | 1.08 | 2.72 | 2.28 |
time (sec) |
N/A | 0.000 | 0.307 | 4.723 | 0.331 | 0.261 | 0.169 | 0.310 | 10.810 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | B | A | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 0 | 40 | 142 | 60 | 43 | 37 | 48 | 43 |
N.S. |
1 | 0.00 | 1.29 | 4.58 | 1.94 | 1.39 | 1.19 | 1.55 | 1.39 |
time (sec) |
N/A | 0.000 | 0.128 | 4.826 | 0.334 | 0.274 | 0.627 | 0.613 | 11.585 |
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 | 81 | 23 | 26 | 18 | 25 | 24 | 25 | 18 |
N.S. |
1 | 3.86 | 1.10 | 1.24 | 0.86 | 1.19 | 1.14 | 1.19 | 0.86 |
time (sec) |
N/A | 0.269 | 0.028 | 0.122 | 0.256 | 0.230 | 0.077 | 0.265 | 10.788 |
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 | 27 | 0 | 33 | 30 | 48 | 43 | 44 | 0 | 42 |
N.S. |
1 | 0.00 | 1.22 | 1.11 | 1.78 | 1.59 | 1.63 | 0.00 | 1.56 |
time (sec) |
N/A | 0.000 | 0.067 | 0.248 | 0.282 | 0.257 | 0.302 | 0.000 | 11.069 |
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 | 23 | 19 | 18 | 20 | 24 | 20 | 18 |
N.S. |
1 | 0.00 | 0.85 | 0.70 | 0.67 | 0.74 | 0.89 | 0.74 | 0.67 |
time (sec) |
N/A | 0.000 | 0.565 | 0.198 | 0.232 | 0.253 | 0.171 | 0.269 | 11.000 |
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 | 17 | 18 | 21 | 17 | 14 | 17 | 17 |
N.S. |
1 | 0.00 | 0.89 | 0.95 | 1.11 | 0.89 | 0.74 | 0.89 | 0.89 |
time (sec) |
N/A | 0.000 | 1.746 | 0.593 | 0.325 | 0.250 | 0.087 | 0.275 | 11.341 |
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 | 23 | 0 | 23 | 42 | 114 | 40 | 20 | 1412 | 254 |
N.S. |
1 | 0.00 | 1.00 | 1.83 | 4.96 | 1.74 | 0.87 | 61.39 | 11.04 |
time (sec) |
N/A | 0.000 | 0.524 | 1.467 | 0.322 | 0.248 | 0.173 | 2.357 | 11.688 |
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 | 16 | 12 | 10 | 13 | 15 | 7 | 15 | 9 |
N.S. |
1 | 0.94 | 0.71 | 0.59 | 0.76 | 0.88 | 0.41 | 0.88 | 0.53 |
time (sec) |
N/A | 0.187 | 0.013 | 0.125 | 0.216 | 0.245 | 0.044 | 0.264 | 0.055 |
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 | 24 | 22 | 37 | 37 | 37 | 37 | 37 |
N.S. |
1 | 0.00 | 0.96 | 0.88 | 1.48 | 1.48 | 1.48 | 1.48 | 1.48 |
time (sec) |
N/A | 0.000 | 0.191 | 1.774 | 0.254 | 0.252 | 0.201 | 0.325 | 0.187 |
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 | 25 | 0 | 37 | 36 | 41 | 35 | 31 | 85 | 88 |
N.S. |
1 | 0.00 | 1.48 | 1.44 | 1.64 | 1.40 | 1.24 | 3.40 | 3.52 |
time (sec) |
N/A | 0.000 | 1.264 | 0.286 | 0.371 | 0.241 | 0.173 | 0.263 | 11.901 |
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 | 29 | 0 | 26 | 48 | 39 | 37 | 24 | 64 | 32 |
N.S. |
1 | 0.00 | 0.90 | 1.66 | 1.34 | 1.28 | 0.83 | 2.21 | 1.10 |
time (sec) |
N/A | 0.000 | 0.644 | 1.078 | 0.304 | 0.258 | 0.085 | 0.399 | 12.650 |
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 | 21 | 263 | 94 | 34 | 588 | 55 | 71 | 65 | 135 |
N.S. |
1 | 12.52 | 4.48 | 1.62 | 28.00 | 2.62 | 3.38 | 3.10 | 6.43 |
time (sec) |
N/A | 1.097 | 0.087 | 0.379 | 0.197 | 0.250 | 0.116 | 0.293 | 11.568 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | C | A | A | A | F(-2) | B |
verified |
N/A | Yes | N/A | No | TBD | TBD | TBD | TBD | TBD |
size | 24 | 23 | 0 | 55 | 23 | 34 | 24 | 0 | 21 |
N.S. |
1 | 0.96 | 0.00 | 2.29 | 0.96 | 1.42 | 1.00 | 0.00 | 0.88 |
time (sec) |
N/A | 1.549 | 0.000 | 0.705 | 0.325 | 0.243 | 1.200 | 0.000 | 12.430 |
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 | 24 | 22 | 20 | 28 | 21 | 27 | 19 | 19 |
N.S. |
1 | 1.09 | 1.00 | 0.91 | 1.27 | 0.95 | 1.23 | 0.86 | 0.86 |
time (sec) |
N/A | 0.189 | 0.007 | 0.654 | 0.196 | 0.246 | 0.133 | 0.272 | 0.138 |
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 | 17 | 0 | 0 | 17 | 16 | 16 | 17 | 23 | 23 |
N.S. |
1 | 0.00 | 0.00 | 1.00 | 0.94 | 0.94 | 1.00 | 1.35 | 1.35 |
time (sec) |
N/A | 0.000 | 0.000 | 0.352 | 0.305 | 0.244 | 0.094 | 0.272 | 11.180 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | B | B | A | B | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 0 | 22 | 21 | 42 | 42 | 37 | 94 | 0 |
N.S. |
1 | 0.00 | 0.96 | 0.91 | 1.83 | 1.83 | 1.61 | 4.09 | 0.00 |
time (sec) |
N/A | 0.000 | 0.156 | 0.709 | 0.211 | 0.240 | 0.093 | 0.274 | 0.000 |
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 | 26 | 0 | 26 | 22 | 41 | 46 | 20 | 0 | 41 |
N.S. |
1 | 0.00 | 1.00 | 0.85 | 1.58 | 1.77 | 0.77 | 0.00 | 1.58 |
time (sec) |
N/A | 0.000 | 5.157 | 20.699 | 0.420 | 0.246 | 0.476 | 0.000 | 11.018 |
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 | 9 | 9 | 10 | 9 | 14 | 5 | 9 | 9 |
N.S. |
1 | 0.41 | 0.41 | 0.45 | 0.41 | 0.64 | 0.23 | 0.41 | 0.41 |
time (sec) |
N/A | 0.154 | 0.007 | 0.434 | 0.177 | 0.240 | 0.034 | 0.269 | 0.036 |
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 | 26 | 0 | 22 | 22 | 38 | 38 | 15 | 38 | 38 |
N.S. |
1 | 0.00 | 0.85 | 0.85 | 1.46 | 1.46 | 0.58 | 1.46 | 1.46 |
time (sec) |
N/A | 0.000 | 0.364 | 0.759 | 0.305 | 0.246 | 0.107 | 0.302 | 11.580 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 29 | 26 | 27 | 28 | 28 | 0 | 0 | 21 |
N.S. |
1 | 1.16 | 1.04 | 1.08 | 1.12 | 1.12 | 0.00 | 0.00 | 0.84 |
time (sec) |
N/A | 1.293 | 0.101 | 2.710 | 0.347 | 0.245 | 0.000 | 0.000 | 11.344 |