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 | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 21 | 18 | 27 | 27 | 0 | 0 | 17 |
N.S. |
1 | 1.00 | 1.00 | 0.86 | 1.29 | 1.29 | 0.00 | 0.00 | 0.81 |
time (sec) |
N/A | 0.166 | 0.191 | 0.139 | 0.226 | 0.248 | 0.000 | 0.000 | 5.720 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 21 | 18 | 17 | 17 | 0 | 0 | 17 |
N.S. |
1 | 1.00 | 1.00 | 0.86 | 0.81 | 0.81 | 0.00 | 0.00 | 0.81 |
time (sec) |
N/A | 0.169 | 0.513 | 1.162 | 0.228 | 0.255 | 0.000 | 0.000 | 5.714 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | B | F | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 208 | 37 | 46 | 0 | 15 | 0 | 67 | 2737 |
N.S. |
1 | 9.90 | 1.76 | 2.19 | 0.00 | 0.71 | 0.00 | 3.19 | 130.33 |
time (sec) |
N/A | 1.018 | 0.042 | 7.122 | 0.000 | 0.238 | 0.000 | 0.283 | 0.116 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 16 | 16 | 13 | 0 | 18 | 0 | 11 | 20 |
N.S. |
1 | 0.73 | 0.73 | 0.59 | 0.00 | 0.82 | 0.00 | 0.50 | 0.91 |
time (sec) |
N/A | 0.180 | 0.614 | 0.964 | 0.000 | 0.239 | 0.000 | 0.291 | 5.390 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 16 | 16 | 13 | 0 | 18 | 0 | 11 | 20 |
N.S. |
1 | 0.73 | 0.73 | 0.59 | 0.00 | 0.82 | 0.00 | 0.50 | 0.91 |
time (sec) |
N/A | 0.183 | 10.010 | 0.955 | 0.000 | 0.249 | 0.000 | 0.270 | 5.342 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | B | B | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 22 | 0 | 22 | 0 | 0 | 38 | 41 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.00 | 0.00 | 1.73 | 1.86 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.069 | 0.000 | 0.000 | 0.279 | 0.444 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 31 | 23 | 34 | 33 | 33 | 32 | 33 | 19 |
N.S. |
1 | 1.35 | 1.00 | 1.48 | 1.43 | 1.43 | 1.39 | 1.43 | 0.83 |
time (sec) |
N/A | 0.162 | 0.021 | 1.503 | 0.278 | 0.257 | 0.433 | 0.261 | 5.355 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 34 | 21 | 18 | 23 | 17 | 0 | 0 | 24 |
N.S. |
1 | 1.48 | 0.91 | 0.78 | 1.00 | 0.74 | 0.00 | 0.00 | 1.04 |
time (sec) |
N/A | 0.159 | 0.022 | 1.083 | 0.184 | 0.250 | 0.000 | 0.000 | 0.118 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 31 | 20 | 17 | 19 | 19 | 37 | 19 | 20 |
N.S. |
1 | 1.35 | 0.87 | 0.74 | 0.83 | 0.83 | 1.61 | 0.83 | 0.87 |
time (sec) |
N/A | 0.156 | 0.016 | 0.795 | 0.171 | 0.225 | 0.098 | 0.260 | 5.467 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 18 | 18 | 20 | 0 | 19 | 0 | 26 | 19 |
N.S. |
1 | 0.78 | 0.78 | 0.87 | 0.00 | 0.83 | 0.00 | 1.13 | 0.83 |
time (sec) |
N/A | 0.151 | 0.539 | 0.819 | 0.000 | 0.241 | 0.000 | 0.275 | 5.323 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 16 | 14 | 13 | 0 | 22 | 0 | 11 | 21 |
N.S. |
1 | 0.70 | 0.61 | 0.57 | 0.00 | 0.96 | 0.00 | 0.48 | 0.91 |
time (sec) |
N/A | 0.173 | 0.026 | 1.007 | 0.000 | 0.240 | 0.000 | 0.268 | 5.026 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 37 | 23 | 16 | 0 | 19 | 0 | 19 | 29 |
N.S. |
1 | 1.61 | 1.00 | 0.70 | 0.00 | 0.83 | 0.00 | 0.83 | 1.26 |
time (sec) |
N/A | 0.176 | 0.128 | 0.832 | 0.000 | 0.240 | 0.000 | 0.273 | 5.590 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 23 | 17 | 0 | 21 | 0 | 13 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.74 | 0.00 | 0.91 | 0.00 | 0.57 | 0.61 |
time (sec) |
N/A | 0.227 | 10.037 | 1.077 | 0.000 | 0.240 | 0.000 | 0.280 | 5.378 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 33 | 23 | 20 | 24 | 19 | 124 | 0 | 25 |
N.S. |
1 | 1.43 | 1.00 | 0.87 | 1.04 | 0.83 | 5.39 | 0.00 | 1.09 |
time (sec) |
N/A | 0.155 | 0.166 | 0.848 | 0.190 | 0.248 | 0.495 | 0.000 | 5.387 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 31 | 23 | 20 | 23 | 25 | 75 | 0 | 19 |
N.S. |
1 | 1.35 | 1.00 | 0.87 | 1.00 | 1.09 | 3.26 | 0.00 | 0.83 |
time (sec) |
N/A | 0.150 | 0.162 | 0.852 | 0.188 | 0.242 | 0.459 | 0.000 | 5.565 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 33 | 23 | 20 | 24 | 19 | 48 | 0 | 25 |
N.S. |
1 | 1.43 | 1.00 | 0.87 | 1.04 | 0.83 | 2.09 | 0.00 | 1.09 |
time (sec) |
N/A | 0.150 | 0.163 | 0.967 | 0.225 | 0.239 | 0.463 | 0.000 | 5.515 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 33 | 23 | 20 | 25 | 19 | 71 | 0 | 25 |
N.S. |
1 | 1.43 | 1.00 | 0.87 | 1.09 | 0.83 | 3.09 | 0.00 | 1.09 |
time (sec) |
N/A | 0.150 | 0.196 | 0.835 | 0.197 | 0.251 | 0.877 | 0.000 | 5.330 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 23 | 22 | 0 | 42 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.96 | 0.00 | 1.83 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.181 | 0.375 | 2.003 | 0.000 | 0.270 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 0 | 46 | 31 | 0 | 28 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 2.00 | 1.35 | 0.00 | 1.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 7.680 | 3.645 | 0.000 | 0.256 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 33 | 23 | 20 | 32 | 19 | 0 | 19 | 19 |
N.S. |
1 | 1.43 | 1.00 | 0.87 | 1.39 | 0.83 | 0.00 | 0.83 | 0.83 |
time (sec) |
N/A | 0.175 | 0.162 | 2.602 | 0.316 | 0.236 | 0.000 | 0.266 | 5.334 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 33 | 23 | 20 | 58 | 19 | 0 | 19 | 27 |
N.S. |
1 | 1.43 | 1.00 | 0.87 | 2.52 | 0.83 | 0.00 | 0.83 | 1.17 |
time (sec) |
N/A | 0.175 | 10.026 | 0.834 | 0.288 | 0.243 | 0.000 | 0.288 | 5.308 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 33 | 23 | 20 | 58 | 19 | 0 | 19 | 27 |
N.S. |
1 | 1.43 | 1.00 | 0.87 | 2.52 | 0.83 | 0.00 | 0.83 | 1.17 |
time (sec) |
N/A | 0.173 | 10.024 | 0.842 | 0.280 | 0.249 | 0.000 | 0.292 | 5.351 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 14 | 14 | 13 | 0 | 18 | 0 | 0 | 21 |
N.S. |
1 | 0.61 | 0.61 | 0.57 | 0.00 | 0.78 | 0.00 | 0.00 | 0.91 |
time (sec) |
N/A | 0.218 | 0.321 | 1.031 | 0.000 | 0.243 | 0.000 | 0.000 | 5.363 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 14 | 14 | 13 | 0 | 18 | 0 | 9 | 21 |
N.S. |
1 | 0.61 | 0.61 | 0.57 | 0.00 | 0.78 | 0.00 | 0.39 | 0.91 |
time (sec) |
N/A | 0.151 | 0.158 | 0.960 | 0.000 | 0.245 | 0.000 | 0.274 | 5.439 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 16 | 14 | 13 | 0 | 24 | 0 | 11 | 21 |
N.S. |
1 | 0.70 | 0.61 | 0.57 | 0.00 | 1.04 | 0.00 | 0.48 | 0.91 |
time (sec) |
N/A | 0.174 | 0.030 | 1.003 | 0.000 | 0.245 | 0.000 | 0.277 | 5.591 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 37 | 23 | 16 | 0 | 26 | 0 | 33 | 29 |
N.S. |
1 | 1.61 | 1.00 | 0.70 | 0.00 | 1.13 | 0.00 | 1.43 | 1.26 |
time (sec) |
N/A | 0.171 | 0.056 | 0.869 | 0.000 | 0.235 | 0.000 | 0.272 | 5.333 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 37 | 23 | 16 | 0 | 19 | 0 | 19 | 29 |
N.S. |
1 | 1.61 | 1.00 | 0.70 | 0.00 | 0.83 | 0.00 | 0.83 | 1.26 |
time (sec) |
N/A | 0.178 | 0.170 | 0.837 | 0.000 | 0.238 | 0.000 | 0.276 | 5.510 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 21 | 23 | 11 | 0 | 21 | 0 | 42 | 0 |
N.S. |
1 | 0.91 | 1.00 | 0.48 | 0.00 | 0.91 | 0.00 | 1.83 | 0.00 |
time (sec) |
N/A | 0.214 | 0.186 | 2.294 | 0.000 | 0.274 | 0.000 | 0.280 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 33 | 23 | 20 | 25 | 19 | 190 | 0 | 27 |
N.S. |
1 | 1.43 | 1.00 | 0.87 | 1.09 | 0.83 | 8.26 | 0.00 | 1.17 |
time (sec) |
N/A | 0.158 | 0.170 | 0.944 | 0.197 | 0.246 | 1.023 | 0.000 | 5.574 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 31 | 23 | 20 | 22 | 25 | 97 | 0 | 19 |
N.S. |
1 | 1.35 | 1.00 | 0.87 | 0.96 | 1.09 | 4.22 | 0.00 | 0.83 |
time (sec) |
N/A | 0.154 | 0.212 | 0.866 | 0.197 | 0.240 | 2.491 | 0.000 | 0.079 |
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 | 42 | 23 | 19 | 0 | 19 | 37 | 19 | 19 |
N.S. |
1 | 1.83 | 1.00 | 0.83 | 0.00 | 0.83 | 1.61 | 0.83 | 0.83 |
time (sec) |
N/A | 0.439 | 10.055 | 3.368 | 0.000 | 0.244 | 0.116 | 0.274 | 5.649 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 14 | 14 | 13 | 0 | 20 | 0 | 0 | 21 |
N.S. |
1 | 0.61 | 0.61 | 0.57 | 0.00 | 0.87 | 0.00 | 0.00 | 0.91 |
time (sec) |
N/A | 0.223 | 0.824 | 1.075 | 0.000 | 0.240 | 0.000 | 0.000 | 5.460 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | F(-2) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 33 | 23 | 20 | 25 | 26 | 63 | 0 | 25 |
N.S. |
1 | 1.43 | 1.00 | 0.87 | 1.09 | 1.13 | 2.74 | 0.00 | 1.09 |
time (sec) |
N/A | 0.152 | 0.159 | 0.897 | 0.193 | 0.255 | 0.549 | 0.000 | 5.718 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F(-2) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 33 | 23 | 20 | 25 | 26 | 56 | 0 | 25 |
N.S. |
1 | 1.43 | 1.00 | 0.87 | 1.09 | 1.13 | 2.43 | 0.00 | 1.09 |
time (sec) |
N/A | 0.159 | 0.207 | 0.895 | 0.285 | 0.242 | 1.201 | 0.000 | 5.615 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 14 | 14 | 13 | 0 | 18 | 0 | 0 | 21 |
N.S. |
1 | 0.61 | 0.61 | 0.57 | 0.00 | 0.78 | 0.00 | 0.00 | 0.91 |
time (sec) |
N/A | 0.230 | 4.236 | 1.044 | 0.000 | 0.245 | 0.000 | 0.000 | 5.539 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 14 | 14 | 13 | 0 | 18 | 0 | 0 | 21 |
N.S. |
1 | 0.61 | 0.61 | 0.57 | 0.00 | 0.78 | 0.00 | 0.00 | 0.91 |
time (sec) |
N/A | 0.224 | 0.865 | 1.076 | 0.000 | 0.239 | 0.000 | 0.000 | 5.471 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 23 | 22 | 0 | 21 | 0 | 0 | 21 |
N.S. |
1 | 1.00 | 1.00 | 0.96 | 0.00 | 0.91 | 0.00 | 0.00 | 0.91 |
time (sec) |
N/A | 0.195 | 3.270 | 1.500 | 0.000 | 0.249 | 0.000 | 0.000 | 5.682 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 40 | 37 | 35 | 0 | 58 | 0 | 34 | 0 |
N.S. |
1 | 1.67 | 1.54 | 1.46 | 0.00 | 2.42 | 0.00 | 1.42 | 0.00 |
time (sec) |
N/A | 0.179 | 0.021 | 0.164 | 0.000 | 0.261 | 0.000 | 0.264 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 46 | 46 | 18 | 0 | 18 | 0 | 0 | 179 |
N.S. |
1 | 1.92 | 1.92 | 0.75 | 0.00 | 0.75 | 0.00 | 0.00 | 7.46 |
time (sec) |
N/A | 0.339 | 0.176 | 3.533 | 0.000 | 0.271 | 0.000 | 0.000 | 0.235 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 46 | 46 | 18 | 0 | 29 | 0 | 0 | 223 |
N.S. |
1 | 1.92 | 1.92 | 0.75 | 0.00 | 1.21 | 0.00 | 0.00 | 9.29 |
time (sec) |
N/A | 0.381 | 0.240 | 1.638 | 0.000 | 0.249 | 0.000 | 0.000 | 5.501 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 24 | 19 | 0 | 18 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.79 | 0.00 | 0.75 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.190 | 0.342 | 2.957 | 0.000 | 0.270 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 24 | 22 | 0 | 42 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.92 | 0.00 | 1.75 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.189 | 0.369 | 1.934 | 0.000 | 0.283 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 0 | 24 | 21 | 0 | 136 | 0 | 0 | 44 |
N.S. |
1 | 0.00 | 1.00 | 0.88 | 0.00 | 5.67 | 0.00 | 0.00 | 1.83 |
time (sec) |
N/A | 0.000 | 3.956 | 0.858 | 0.000 | 0.285 | 0.000 | 0.000 | 5.963 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 0 | 24 | 21 | 0 | 138 | 0 | 0 | 44 |
N.S. |
1 | 0.00 | 1.00 | 0.88 | 0.00 | 5.75 | 0.00 | 0.00 | 1.83 |
time (sec) |
N/A | 0.000 | 3.903 | 0.897 | 0.000 | 0.276 | 0.000 | 0.000 | 6.009 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 0 | 24 | 21 | 0 | 151 | 0 | 0 | 52 |
N.S. |
1 | 0.00 | 1.00 | 0.88 | 0.00 | 6.29 | 0.00 | 0.00 | 2.17 |
time (sec) |
N/A | 0.000 | 1.803 | 0.898 | 0.000 | 0.299 | 0.000 | 0.000 | 6.032 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 0 | 24 | 21 | 0 | 147 | 0 | 0 | 46 |
N.S. |
1 | 0.00 | 1.00 | 0.88 | 0.00 | 6.12 | 0.00 | 0.00 | 1.92 |
time (sec) |
N/A | 0.000 | 1.788 | 0.855 | 0.000 | 0.288 | 0.000 | 0.000 | 5.984 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | F | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 0 | 24 | 16 | 26 | 22 | 0 | 0 | 22 |
N.S. |
1 | 0.00 | 1.00 | 0.67 | 1.08 | 0.92 | 0.00 | 0.00 | 0.92 |
time (sec) |
N/A | 0.000 | 6.789 | 1.303 | 0.324 | 0.244 | 0.000 | 0.000 | 0.091 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | A | F | A | F | F | F(-1) |
verified |
N/A | N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 0 | 0 | 21 | 0 | 119 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.88 | 0.00 | 4.96 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 1.629 | 0.000 | 0.346 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | A | F | A | F | F | F(-1) |
verified |
N/A | N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 0 | 0 | 21 | 0 | 129 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.88 | 0.00 | 5.38 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 1.007 | 0.000 | 0.345 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 31 | 20 | 17 | 19 | 21 | 41 | 19 | 21 |
N.S. |
1 | 1.24 | 0.80 | 0.68 | 0.76 | 0.84 | 1.64 | 0.76 | 0.84 |
time (sec) |
N/A | 0.162 | 0.017 | 0.842 | 0.190 | 0.235 | 0.102 | 0.271 | 5.274 |
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 | 20 | 17 | 19 | 21 | 41 | 19 | 21 |
N.S. |
1 | 1.24 | 0.80 | 0.68 | 0.76 | 0.84 | 1.64 | 0.76 | 0.84 |
time (sec) |
N/A | 0.164 | 0.021 | 0.868 | 0.201 | 0.248 | 0.164 | 0.261 | 4.906 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 31 | 25 | 22 | 35 | 35 | 32 | 35 | 21 |
N.S. |
1 | 1.24 | 1.00 | 0.88 | 1.40 | 1.40 | 1.28 | 1.40 | 0.84 |
time (sec) |
N/A | 0.161 | 0.024 | 1.377 | 0.280 | 0.238 | 0.450 | 0.264 | 5.025 |
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 | 20 | 17 | 19 | 21 | 41 | 19 | 20 |
N.S. |
1 | 1.24 | 0.80 | 0.68 | 0.76 | 0.84 | 1.64 | 0.76 | 0.80 |
time (sec) |
N/A | 0.160 | 0.021 | 0.820 | 0.195 | 0.232 | 0.155 | 0.266 | 5.050 |
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 | 20 | 17 | 19 | 21 | 37 | 19 | 21 |
N.S. |
1 | 1.24 | 0.80 | 0.68 | 0.76 | 0.84 | 1.48 | 0.76 | 0.84 |
time (sec) |
N/A | 0.163 | 0.016 | 0.869 | 0.193 | 0.263 | 0.099 | 0.261 | 5.119 |
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 | 20 | 17 | 19 | 21 | 41 | 19 | 21 |
N.S. |
1 | 1.24 | 0.80 | 0.68 | 0.76 | 0.84 | 1.64 | 0.76 | 0.84 |
time (sec) |
N/A | 0.165 | 0.020 | 0.852 | 0.194 | 0.266 | 0.191 | 0.273 | 5.070 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 44 | 25 | 17 | 28 | 21 | 41 | 28 | 20 |
N.S. |
1 | 1.76 | 1.00 | 0.68 | 1.12 | 0.84 | 1.64 | 1.12 | 0.80 |
time (sec) |
N/A | 0.167 | 0.021 | 0.856 | 0.196 | 0.248 | 0.762 | 0.266 | 5.121 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 31 | 20 | 17 | 19 | 21 | 37 | 19 | 20 |
N.S. |
1 | 1.24 | 0.80 | 0.68 | 0.76 | 0.84 | 1.48 | 0.76 | 0.80 |
time (sec) |
N/A | 0.160 | 0.017 | 0.842 | 0.187 | 0.240 | 0.131 | 0.264 | 5.023 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 41 | 23 | 20 | 0 | 21 | 0 | 23 | 33 |
N.S. |
1 | 1.64 | 0.92 | 0.80 | 0.00 | 0.84 | 0.00 | 0.92 | 1.32 |
time (sec) |
N/A | 0.180 | 0.127 | 0.862 | 0.000 | 0.253 | 0.000 | 0.273 | 4.795 |
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 | 20 | 17 | 19 | 21 | 41 | 19 | 20 |
N.S. |
1 | 1.24 | 0.80 | 0.68 | 0.76 | 0.84 | 1.64 | 0.76 | 0.80 |
time (sec) |
N/A | 0.160 | 0.019 | 0.849 | 0.189 | 0.251 | 0.174 | 0.262 | 5.042 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 37 | 25 | 22 | 32 | 21 | 0 | 23 | 21 |
N.S. |
1 | 1.48 | 1.00 | 0.88 | 1.28 | 0.84 | 0.00 | 0.92 | 0.84 |
time (sec) |
N/A | 0.176 | 0.173 | 2.905 | 0.289 | 0.244 | 0.000 | 0.268 | 5.067 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 37 | 25 | 22 | 58 | 21 | 0 | 23 | 31 |
N.S. |
1 | 1.48 | 1.00 | 0.88 | 2.32 | 0.84 | 0.00 | 0.92 | 1.24 |
time (sec) |
N/A | 0.178 | 10.022 | 0.786 | 0.284 | 0.263 | 0.000 | 0.285 | 5.175 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 16 | 16 | 15 | 0 | 22 | 0 | 0 | 23 |
N.S. |
1 | 0.64 | 0.64 | 0.60 | 0.00 | 0.88 | 0.00 | 0.00 | 0.92 |
time (sec) |
N/A | 0.218 | 0.322 | 0.956 | 0.000 | 0.250 | 0.000 | 0.000 | 5.286 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 16 | 16 | 15 | 0 | 22 | 0 | 11 | 23 |
N.S. |
1 | 0.64 | 0.64 | 0.60 | 0.00 | 0.88 | 0.00 | 0.44 | 0.92 |
time (sec) |
N/A | 0.151 | 0.156 | 0.943 | 0.000 | 0.235 | 0.000 | 0.284 | 5.161 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 37 | 25 | 20 | 24 | 21 | 0 | 19 | 31 |
N.S. |
1 | 1.48 | 1.00 | 0.80 | 0.96 | 0.84 | 0.00 | 0.76 | 1.24 |
time (sec) |
N/A | 0.164 | 0.146 | 0.789 | 0.279 | 0.259 | 0.000 | 0.269 | 5.078 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 39 | 25 | 24 | 0 | 23 | 0 | 47 | 0 |
N.S. |
1 | 1.56 | 1.00 | 0.96 | 0.00 | 0.92 | 0.00 | 1.88 | 0.00 |
time (sec) |
N/A | 0.215 | 0.175 | 3.113 | 0.000 | 0.262 | 0.000 | 0.284 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 16 | 25 | 8 | 0 | 23 | 0 | 46 | 0 |
N.S. |
1 | 0.64 | 1.00 | 0.32 | 0.00 | 0.92 | 0.00 | 1.84 | 0.00 |
time (sec) |
N/A | 0.209 | 0.191 | 1.431 | 0.000 | 0.265 | 0.000 | 0.277 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 21 | 25 | 11 | 0 | 23 | 0 | 46 | 0 |
N.S. |
1 | 0.84 | 1.00 | 0.44 | 0.00 | 0.92 | 0.00 | 1.84 | 0.00 |
time (sec) |
N/A | 0.213 | 0.265 | 1.665 | 0.000 | 0.263 | 0.000 | 0.276 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 41 | 23 | 20 | 0 | 21 | 0 | 23 | 33 |
N.S. |
1 | 1.64 | 0.92 | 0.80 | 0.00 | 0.84 | 0.00 | 0.92 | 1.32 |
time (sec) |
N/A | 0.182 | 0.145 | 0.801 | 0.000 | 0.256 | 0.000 | 0.275 | 5.081 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 37 | 25 | 20 | 29 | 19 | 230 | 0 | 30 |
N.S. |
1 | 1.48 | 1.00 | 0.80 | 1.16 | 0.76 | 9.20 | 0.00 | 1.20 |
time (sec) |
N/A | 0.161 | 0.169 | 0.809 | 0.190 | 0.253 | 1.060 | 0.000 | 5.095 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 16 | 16 | 15 | 0 | 24 | 0 | 0 | 23 |
N.S. |
1 | 0.64 | 0.64 | 0.60 | 0.00 | 0.96 | 0.00 | 0.00 | 0.92 |
time (sec) |
N/A | 0.215 | 0.819 | 0.973 | 0.000 | 0.252 | 0.000 | 0.000 | 5.081 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 16 | 16 | 15 | 0 | 22 | 0 | 0 | 23 |
N.S. |
1 | 0.64 | 0.64 | 0.60 | 0.00 | 0.88 | 0.00 | 0.00 | 0.92 |
time (sec) |
N/A | 0.233 | 3.518 | 0.981 | 0.000 | 0.238 | 0.000 | 0.000 | 5.078 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 16 | 16 | 15 | 0 | 22 | 0 | 0 | 23 |
N.S. |
1 | 0.64 | 0.64 | 0.60 | 0.00 | 0.88 | 0.00 | 0.00 | 0.92 |
time (sec) |
N/A | 0.224 | 0.857 | 0.986 | 0.000 | 0.249 | 0.000 | 0.000 | 4.980 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 37 | 25 | 20 | 28 | 21 | 0 | 19 | 31 |
N.S. |
1 | 1.48 | 1.00 | 0.80 | 1.12 | 0.84 | 0.00 | 0.76 | 1.24 |
time (sec) |
N/A | 0.173 | 10.020 | 0.848 | 0.276 | 0.257 | 0.000 | 0.278 | 5.061 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 33 | 26 | 20 | 25 | 22 | 296 | 0 | 38 |
N.S. |
1 | 1.27 | 1.00 | 0.77 | 0.96 | 0.85 | 11.38 | 0.00 | 1.46 |
time (sec) |
N/A | 0.153 | 0.086 | 0.799 | 0.187 | 0.265 | 0.581 | 0.000 | 5.088 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 17 | 17 | 16 | 0 | 25 | 0 | 0 | 24 |
N.S. |
1 | 0.65 | 0.65 | 0.62 | 0.00 | 0.96 | 0.00 | 0.00 | 0.92 |
time (sec) |
N/A | 0.270 | 0.338 | 0.986 | 0.000 | 0.238 | 0.000 | 0.000 | 5.067 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 0 | 26 | 23 | 0 | 167 | 0 | 0 | 40 |
N.S. |
1 | 0.00 | 1.00 | 0.88 | 0.00 | 6.42 | 0.00 | 0.00 | 1.54 |
time (sec) |
N/A | 0.000 | 0.799 | 1.241 | 0.000 | 0.284 | 0.000 | 0.000 | 6.020 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 0 | 26 | 23 | 0 | 169 | 0 | 0 | 51 |
N.S. |
1 | 0.00 | 1.00 | 0.88 | 0.00 | 6.50 | 0.00 | 0.00 | 1.96 |
time (sec) |
N/A | 0.000 | 0.800 | 2.626 | 0.000 | 0.278 | 0.000 | 0.000 | 8.623 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | C | F | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 513 | 26 | 68 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 19.73 | 1.00 | 2.62 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.883 | 8.657 | 5.066 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 33 | 23 | 20 | 25 | 24 | 136 | 0 | 38 |
N.S. |
1 | 1.27 | 0.88 | 0.77 | 0.96 | 0.92 | 5.23 | 0.00 | 1.46 |
time (sec) |
N/A | 0.168 | 0.146 | 0.816 | 0.196 | 0.255 | 1.800 | 0.000 | 5.145 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 251 | 26 | 27 | 0 | 40 | 0 | 0 | 0 |
N.S. |
1 | 9.65 | 1.00 | 1.04 | 0.00 | 1.54 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.938 | 0.384 | 3.675 | 0.000 | 0.326 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 47 | 26 | 23 | 22 | 22 | 126 | 0 | 25 |
N.S. |
1 | 1.81 | 1.00 | 0.88 | 0.85 | 0.85 | 4.85 | 0.00 | 0.96 |
time (sec) |
N/A | 0.314 | 0.442 | 0.852 | 0.309 | 0.247 | 1.568 | 0.000 | 5.134 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 50 | 26 | 23 | 38 | 22 | 178 | 0 | 39 |
N.S. |
1 | 1.92 | 1.00 | 0.88 | 1.46 | 0.85 | 6.85 | 0.00 | 1.50 |
time (sec) |
N/A | 0.326 | 3.224 | 0.835 | 0.305 | 0.253 | 2.028 | 0.000 | 5.226 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F(-1) | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 0 | 26 | 23 | 0 | 132 | 0 | 0 | 40 |
N.S. |
1 | 0.00 | 1.00 | 0.88 | 0.00 | 5.08 | 0.00 | 0.00 | 1.54 |
time (sec) |
N/A | 0.000 | 10.940 | 0.901 | 0.000 | 0.283 | 0.000 | 0.000 | 5.254 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F(-1) | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 0 | 26 | 23 | 0 | 146 | 0 | 0 | 42 |
N.S. |
1 | 0.00 | 1.00 | 0.88 | 0.00 | 5.62 | 0.00 | 0.00 | 1.62 |
time (sec) |
N/A | 0.000 | 11.253 | 0.917 | 0.000 | 0.287 | 0.000 | 0.000 | 5.159 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 44 | 26 | 23 | 0 | 22 | 151 | 0 | 27 |
N.S. |
1 | 1.69 | 1.00 | 0.88 | 0.00 | 0.85 | 5.81 | 0.00 | 1.04 |
time (sec) |
N/A | 0.317 | 1.686 | 1.042 | 0.000 | 0.248 | 2.298 | 0.000 | 5.013 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 44 | 26 | 23 | 0 | 22 | 143 | 0 | 27 |
N.S. |
1 | 1.69 | 1.00 | 0.88 | 0.00 | 0.85 | 5.50 | 0.00 | 1.04 |
time (sec) |
N/A | 0.312 | 1.511 | 1.000 | 0.000 | 0.249 | 2.269 | 0.000 | 0.186 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 33 | 26 | 20 | 25 | 29 | 92 | 41 | 24 |
N.S. |
1 | 1.27 | 1.00 | 0.77 | 0.96 | 1.12 | 3.54 | 1.58 | 0.92 |
time (sec) |
N/A | 0.153 | 0.115 | 0.834 | 0.196 | 0.248 | 0.784 | 0.272 | 5.121 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 0 | 26 | 51 | 0 | 22 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 1.96 | 0.00 | 0.85 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 9.855 | 1.425 | 0.000 | 0.277 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | A | F | A | F | F | F(-1) |
verified |
N/A | N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 0 | 0 | 23 | 0 | 123 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.88 | 0.00 | 4.73 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 1.486 | 0.000 | 0.345 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | A | F | A | F | F | F(-1) |
verified |
N/A | N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 0 | 0 | 23 | 0 | 137 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.88 | 0.00 | 5.27 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 0.977 | 0.000 | 0.371 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 31 | 26 | 23 | 53 | 22 | 168 | 0 | 27 |
N.S. |
1 | 1.19 | 1.00 | 0.88 | 2.04 | 0.85 | 6.46 | 0.00 | 1.04 |
time (sec) |
N/A | 0.295 | 3.269 | 0.884 | 0.298 | 0.264 | 2.207 | 0.000 | 5.186 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 31 | 26 | 23 | 44 | 22 | 155 | 0 | 27 |
N.S. |
1 | 1.19 | 1.00 | 0.88 | 1.69 | 0.85 | 5.96 | 0.00 | 1.04 |
time (sec) |
N/A | 0.296 | 3.271 | 0.902 | 0.304 | 0.245 | 2.095 | 0.000 | 5.158 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 0 | 26 | 28 | 0 | 40 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 1.08 | 0.00 | 1.54 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 2.992 | 2.094 | 0.000 | 0.500 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | B | B | F | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 0 | 26 | 23 | 62 | 62 | 0 | 0 | 147 |
N.S. |
1 | 0.00 | 1.00 | 0.88 | 2.38 | 2.38 | 0.00 | 0.00 | 5.65 |
time (sec) |
N/A | 0.000 | 0.072 | 0.287 | 0.221 | 0.259 | 0.000 | 0.000 | 6.387 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | A | F | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 0 | 0 | 0 | 0 | 144 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 5.54 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 0.000 | 0.000 | 0.618 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | B | F | F | B |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 0 | 0 | 0 | 0 | 139 | 0 | 0 | 46 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 5.35 | 0.00 | 0.00 | 1.77 |
time (sec) |
N/A | 0.000 | 0.000 | 0.000 | 0.000 | 0.380 | 0.000 | 0.000 | 5.816 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | A | F | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 0 | 0 | 0 | 0 | 132 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 5.08 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 0.000 | 0.000 | 0.649 | 0.000 | 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 | 27 | 35 | 22 | 19 | 23 | 23 | 42 | 32 | 34 |
N.S. |
1 | 1.30 | 0.81 | 0.70 | 0.85 | 0.85 | 1.56 | 1.19 | 1.26 |
time (sec) |
N/A | 0.172 | 0.018 | 1.262 | 0.192 | 0.243 | 0.093 | 0.264 | 0.048 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | B | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 1340 | 27 | 25 | 0 | 97 | 0 | 0 | 1872 |
N.S. |
1 | 49.63 | 1.00 | 0.93 | 0.00 | 3.59 | 0.00 | 0.00 | 69.33 |
time (sec) |
N/A | 3.725 | 0.209 | 2.254 | 0.000 | 0.272 | 0.000 | 0.000 | 6.230 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | C | F | B | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 541 | 94 | 88 | 0 | 51 | 0 | 0 | 167 |
N.S. |
1 | 20.04 | 3.48 | 3.26 | 0.00 | 1.89 | 0.00 | 0.00 | 6.19 |
time (sec) |
N/A | 1.046 | 4.075 | 1.196 | 0.000 | 0.255 | 0.000 | 0.000 | 5.390 |