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 | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 15 | 15 | 15 | 14 | 14 | 17 | 14 | 14 |
N.S. |
1 | 0.88 | 0.88 | 0.88 | 0.82 | 0.82 | 1.00 | 0.82 | 0.82 |
time (sec) |
N/A | 0.139 | 0.003 | 0.531 | 0.198 | 0.238 | 0.059 | 0.259 | 0.102 |
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 | 29 | 83 | 30 | 27 | 49 | 43 | 31 | 0 | 29 |
N.S. |
1 | 2.86 | 1.03 | 0.93 | 1.69 | 1.48 | 1.07 | 0.00 | 1.00 |
time (sec) |
N/A | 0.509 | 1.652 | 19.497 | 0.340 | 0.249 | 0.186 | 0.000 | 9.272 |
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 | 22 | 177 | 32 | 107 | 134 | 103 | 121 | 132 | 106 |
N.S. |
1 | 8.05 | 1.45 | 4.86 | 6.09 | 4.68 | 5.50 | 6.00 | 4.82 |
time (sec) |
N/A | 0.392 | 0.072 | 0.319 | 0.297 | 0.247 | 0.271 | 0.257 | 9.153 |
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 | 16 | 16 | 29 | 21 | 15 | 16 | 13 |
N.S. |
1 | 0.00 | 0.70 | 0.70 | 1.26 | 0.91 | 0.65 | 0.70 | 0.57 |
time (sec) |
N/A | 0.000 | 0.181 | 0.209 | 0.189 | 0.243 | 73.691 | 0.263 | 10.235 |
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 | 28 | 129 | 32 | 62 | 67 | 64 | 58 | 220 | 77 |
N.S. |
1 | 4.61 | 1.14 | 2.21 | 2.39 | 2.29 | 2.07 | 7.86 | 2.75 |
time (sec) |
N/A | 0.960 | 0.388 | 0.329 | 0.336 | 0.257 | 0.243 | 0.337 | 9.387 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | A | B | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 0 | 17 | 16 | 0 | 20 | 17 | 79 | 31 |
N.S. |
1 | 0.00 | 1.00 | 0.94 | 0.00 | 1.18 | 1.00 | 4.65 | 1.82 |
time (sec) |
N/A | 0.000 | 0.321 | 0.458 | 0.000 | 0.246 | 0.192 | 0.276 | 9.597 |
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 | 25 | 23 | 28 | 22 | 27 | 22 | 22 | 25 |
N.S. |
1 | 1.04 | 0.96 | 1.17 | 0.92 | 1.12 | 0.92 | 0.92 | 1.04 |
time (sec) |
N/A | 0.542 | 0.174 | 0.113 | 0.269 | 0.239 | 0.145 | 0.258 | 9.341 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | B | A | A | B | B | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 0 | 35 | 61 | 46 | 45 | 54 | 209 | 0 |
N.S. |
1 | 0.00 | 1.30 | 2.26 | 1.70 | 1.67 | 2.00 | 7.74 | 0.00 |
time (sec) |
N/A | 0.000 | 0.153 | 0.486 | 0.269 | 0.252 | 0.142 | 0.354 | 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 | 21 | 23 | 21 | 27 | 25 | 34 | 32 | 34 | 20 |
N.S. |
1 | 1.10 | 1.00 | 1.29 | 1.19 | 1.62 | 1.52 | 1.62 | 0.95 |
time (sec) |
N/A | 0.354 | 0.065 | 0.832 | 0.315 | 0.243 | 0.128 | 0.258 | 9.572 |
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 | 20 | 19 | 20 | 16 | 17 | 17 | 17 | 0 | 17 |
N.S. |
1 | 0.95 | 1.00 | 0.80 | 0.85 | 0.85 | 0.85 | 0.00 | 0.85 |
time (sec) |
N/A | 0.184 | 0.013 | 0.384 | 0.186 | 0.245 | 0.224 | 0.000 | 9.718 |
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 | 28 | 29 | 29 | 22 | 22 | 21 | 19 | 87 | 24 |
N.S. |
1 | 1.04 | 1.04 | 0.79 | 0.79 | 0.75 | 0.68 | 3.11 | 0.86 |
time (sec) |
N/A | 0.743 | 5.140 | 0.206 | 0.223 | 0.250 | 0.108 | 0.316 | 0.203 |
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 | 14 | 36 | 14 | 16 | 23 | 15 | 12 | 99 | 11 |
N.S. |
1 | 2.57 | 1.00 | 1.14 | 1.64 | 1.07 | 0.86 | 7.07 | 0.79 |
time (sec) |
N/A | 0.187 | 0.010 | 0.325 | 0.229 | 0.236 | 0.057 | 0.256 | 9.376 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 14 | 14 | 14 | 13 | 13 | 12 | 13 | 15 |
N.S. |
1 | 0.78 | 0.78 | 0.78 | 0.72 | 0.72 | 0.67 | 0.72 | 0.83 |
time (sec) |
N/A | 0.161 | 0.031 | 0.050 | 0.184 | 0.246 | 0.042 | 0.251 | 0.103 |
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 | 7 | 7 | 6 | 5 | 5 | 5 | 5 | 5 |
N.S. |
1 | 0.30 | 0.30 | 0.26 | 0.22 | 0.22 | 0.22 | 0.22 | 0.22 |
time (sec) |
N/A | 0.119 | 0.000 | 0.010 | 0.188 | 0.246 | 0.025 | 0.247 | 0.024 |
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 | 16 | 13 | 13 | 14 | 13 | 13 | 12 | 14 | 13 |
N.S. |
1 | 0.81 | 0.81 | 0.88 | 0.81 | 0.81 | 0.75 | 0.88 | 0.81 |
time (sec) |
N/A | 0.145 | 0.002 | 0.062 | 0.205 | 0.248 | 0.031 | 0.250 | 0.035 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 21 | 21 | 18 | 17 | 17 | 17 | 19 | 17 |
N.S. |
1 | 0.72 | 0.72 | 0.62 | 0.59 | 0.59 | 0.59 | 0.66 | 0.59 |
time (sec) |
N/A | 0.327 | 0.010 | 0.039 | 0.214 | 0.227 | 0.054 | 0.258 | 9.392 |
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 | 30 | 0 | 45 | 36 | 49 | 50 | 39 | 46 | 161 |
N.S. |
1 | 0.00 | 1.50 | 1.20 | 1.63 | 1.67 | 1.30 | 1.53 | 5.37 |
time (sec) |
N/A | 0.000 | 0.286 | 6.152 | 0.408 | 0.239 | 0.187 | 0.379 | 9.535 |
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 | 23 | 0 | 26 | 19 | 20 | 50 | 17 | 0 | 21 |
N.S. |
1 | 0.00 | 1.13 | 0.83 | 0.87 | 2.17 | 0.74 | 0.00 | 0.91 |
time (sec) |
N/A | 0.000 | 0.577 | 0.226 | 0.376 | 0.235 | 0.107 | 0.000 | 9.207 |
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 | 27 | 24 | 27 | 23 | 24 | 32 | 26 |
N.S. |
1 | 0.00 | 1.17 | 1.04 | 1.17 | 1.00 | 1.04 | 1.39 | 1.13 |
time (sec) |
N/A | 0.000 | 0.134 | 0.076 | 0.232 | 0.244 | 0.093 | 0.269 | 9.230 |
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 | 29 | 36 | 25 | 22 | 258 | 43 | 22 | 28 | 28 |
N.S. |
1 | 1.24 | 0.86 | 0.76 | 8.90 | 1.48 | 0.76 | 0.97 | 0.97 |
time (sec) |
N/A | 0.455 | 0.209 | 0.217 | 0.378 | 0.251 | 0.078 | 0.263 | 0.236 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 26 | 23 | 25 | 29 | 29 | 20 | 23 |
N.S. |
1 | 1.00 | 0.93 | 0.82 | 0.89 | 1.04 | 1.04 | 0.71 | 0.82 |
time (sec) |
N/A | 0.213 | 0.012 | 0.050 | 0.205 | 0.234 | 0.095 | 0.248 | 8.773 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | A | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 0 | 25 | 30 | 26 | 26 | 22 | 29 | 0 |
N.S. |
1 | 0.00 | 0.96 | 1.15 | 1.00 | 1.00 | 0.85 | 1.12 | 0.00 |
time (sec) |
N/A | 0.000 | 0.345 | 0.729 | 0.253 | 0.235 | 0.148 | 0.277 | 0.000 |
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 | 27 | 0 | 42 | 44 | 38 | 38 | 110 | 55 | 0 |
N.S. |
1 | 0.00 | 1.56 | 1.63 | 1.41 | 1.41 | 4.07 | 2.04 | 0.00 |
time (sec) |
N/A | 0.000 | 0.181 | 0.084 | 0.337 | 0.256 | 0.402 | 0.363 | 0.000 |
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 | 32 | 43 | 33 | 31 | 0 | 46 | 20 | 58 | 29 |
N.S. |
1 | 1.34 | 1.03 | 0.97 | 0.00 | 1.44 | 0.62 | 1.81 | 0.91 |
time (sec) |
N/A | 0.983 | 0.111 | 0.626 | 0.000 | 0.235 | 0.190 | 0.260 | 10.126 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 0 | 29 | 28 | 41 | 41 | 19 | 33 | 88 |
N.S. |
1 | 0.00 | 0.85 | 0.82 | 1.21 | 1.21 | 0.56 | 0.97 | 2.59 |
time (sec) |
N/A | 0.000 | 0.597 | 7.714 | 0.326 | 0.230 | 0.071 | 0.304 | 0.664 |
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 | 32 | 0 | 101 | 93 | 92 | 95 | 104 | 113 | 95 |
N.S. |
1 | 0.00 | 3.16 | 2.91 | 2.88 | 2.97 | 3.25 | 3.53 | 2.97 |
time (sec) |
N/A | 0.000 | 0.132 | 8.960 | 0.449 | 0.247 | 5.408 | 1.660 | 11.559 |
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 | 26 | 0 | 39 | 26 | 66 | 86 | 68 | 123800 | 0 |
N.S. |
1 | 0.00 | 1.50 | 1.00 | 2.54 | 3.31 | 2.62 | 4761.54 | 0.00 |
time (sec) |
N/A | 0.000 | 4.761 | 0.685 | 0.415 | 0.242 | 0.136 | 41.013 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | C | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 49 | 42 | 51 | 44 | 45 | 42 | 52 | 38 |
N.S. |
1 | 1.96 | 1.68 | 2.04 | 1.76 | 1.80 | 1.68 | 2.08 | 1.52 |
time (sec) |
N/A | 0.296 | 0.091 | 0.187 | 0.238 | 0.252 | 0.124 | 0.245 | 9.811 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | B | B | F(-2) | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 36 | 2153 | 101 | 60 | 0 | 76 | 0 | 105 | 49 |
N.S. |
1 | 59.81 | 2.81 | 1.67 | 0.00 | 2.11 | 0.00 | 2.92 | 1.36 |
time (sec) |
N/A | 8.070 | 0.259 | 5.074 | 0.000 | 0.267 | 0.000 | 0.286 | 10.361 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | F | A | A | A | A | F | B |
verified |
N/A | Yes | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 255 | 0 | 26 | 31 | 26 | 24 | 0 | 25 |
N.S. |
1 | 8.23 | 0.00 | 0.84 | 1.00 | 0.84 | 0.77 | 0.00 | 0.81 |
time (sec) |
N/A | 0.769 | 0.000 | 280.409 | 0.368 | 0.248 | 1.135 | 0.000 | 10.965 |
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 | 20 | 16 | 12 | 12 | 0 | 22 | 8 | 24 | 11 |
N.S. |
1 | 0.80 | 0.60 | 0.60 | 0.00 | 1.10 | 0.40 | 1.20 | 0.55 |
time (sec) |
N/A | 0.357 | 0.137 | 0.582 | 0.000 | 0.241 | 0.054 | 0.254 | 0.100 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 0 | 21 | 20 | 20 | 19 | 26 | 21 | 21 |
N.S. |
1 | 0.00 | 1.17 | 1.11 | 1.11 | 1.06 | 1.44 | 1.17 | 1.17 |
time (sec) |
N/A | 0.000 | 3.810 | 0.778 | 0.331 | 0.251 | 0.088 | 0.251 | 10.204 |
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 | 19 | 18 | 33 | 17 | 14 | 23 | 17 |
N.S. |
1 | 0.00 | 1.00 | 0.95 | 1.74 | 0.89 | 0.74 | 1.21 | 0.89 |
time (sec) |
N/A | 0.000 | 0.083 | 1.379 | 0.322 | 0.256 | 0.076 | 0.267 | 9.596 |
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 | 23 | 35 | 37 | 28 | 28 | 52 | 26 | 22 | 29 |
N.S. |
1 | 1.52 | 1.61 | 1.22 | 1.22 | 2.26 | 1.13 | 0.96 | 1.26 |
time (sec) |
N/A | 0.288 | 0.048 | 0.114 | 0.205 | 0.242 | 0.077 | 0.263 | 9.675 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | A | A | A | A | B | F(-1) |
verified |
N/A | N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 0 | 0 | 44 | 46 | 46 | 48 | 69 | 0 |
N.S. |
1 | 0.00 | 0.00 | 1.57 | 1.64 | 1.64 | 1.71 | 2.46 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 0.740 | 0.357 | 0.265 | 0.177 | 0.342 | 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 | 27 | 17 | 15 | 14 | 14 | 17 | 14 | 15 |
N.S. |
1 | 1.12 | 0.71 | 0.62 | 0.58 | 0.58 | 0.71 | 0.58 | 0.62 |
time (sec) |
N/A | 0.973 | 0.164 | 0.108 | 0.221 | 0.242 | 0.135 | 0.257 | 10.069 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | B | A | A | B | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 0 | 28 | 51 | 689 | 48 | 46 | 6083 | 0 |
N.S. |
1 | 0.00 | 0.97 | 1.76 | 23.76 | 1.66 | 1.59 | 209.76 | 0.00 |
time (sec) |
N/A | 0.000 | 0.114 | 54.975 | 3.053 | 0.237 | 0.532 | 0.555 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | C | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 47 | 53 | 25 | 26 | 19 | 29 | 24 | 14 |
N.S. |
1 | 2.14 | 2.41 | 1.14 | 1.18 | 0.86 | 1.32 | 1.09 | 0.64 |
time (sec) |
N/A | 0.476 | 0.078 | 0.110 | 0.226 | 0.252 | 0.104 | 0.263 | 0.258 |
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 | 25 | 26 | 24 | 26 | 24 | 32 | 25 |
N.S. |
1 | 0.00 | 0.96 | 1.00 | 0.92 | 1.00 | 0.92 | 1.23 | 0.96 |
time (sec) |
N/A | 0.000 | 0.392 | 7.234 | 0.321 | 0.253 | 0.062 | 0.276 | 9.524 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | B | B | C | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 113 | 82 | 81 | 148 | 88 | 88 | 104 | 86 |
N.S. |
1 | 3.65 | 2.65 | 2.61 | 4.77 | 2.84 | 2.84 | 3.35 | 2.77 |
time (sec) |
N/A | 0.778 | 3.882 | 0.820 | 0.269 | 0.244 | 0.135 | 0.260 | 9.698 |
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 | 10 | 11 | 9 | 12 | 12 | 7 | 12 | 8 |
N.S. |
1 | 0.71 | 0.79 | 0.64 | 0.86 | 0.86 | 0.50 | 0.86 | 0.57 |
time (sec) |
N/A | 0.128 | 0.000 | 0.060 | 0.200 | 0.226 | 0.018 | 0.252 | 9.191 |
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 | 28 | 0 | 30 | 28 | 29 | 30 | 24 | 30 | 27 |
N.S. |
1 | 0.00 | 1.07 | 1.00 | 1.04 | 1.07 | 0.86 | 1.07 | 0.96 |
time (sec) |
N/A | 0.000 | 0.030 | 0.575 | 0.202 | 0.251 | 0.702 | 0.277 | 0.216 |
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 | 4 | 4 | 4 | 5 | 4 | 4 | 3 | 5 | 4 |
N.S. |
1 | 1.00 | 1.00 | 1.25 | 1.00 | 1.00 | 0.75 | 1.25 | 1.00 |
time (sec) |
N/A | 0.124 | 0.000 | 0.010 | 0.194 | 0.230 | 0.021 | 0.255 | 0.012 |
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 | 64 | 41 | 29 | 37 | 47 | 32 | 37 | 28 |
N.S. |
1 | 1.94 | 1.24 | 0.88 | 1.12 | 1.42 | 0.97 | 1.12 | 0.85 |
time (sec) |
N/A | 0.559 | 0.069 | 0.144 | 0.190 | 0.242 | 0.236 | 0.257 | 9.939 |
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 | 15 | 14 | 14 | 19 | 14 | 14 |
N.S. |
1 | 0.94 | 0.94 | 0.88 | 0.82 | 0.82 | 1.12 | 0.82 | 0.82 |
time (sec) |
N/A | 0.143 | 0.006 | 0.089 | 0.187 | 0.240 | 0.064 | 0.256 | 9.725 |
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 | 30 | 30 | 30 | 31 | 32 | 46 | 32 | 0 | 32 |
N.S. |
1 | 1.00 | 1.00 | 1.03 | 1.07 | 1.53 | 1.07 | 0.00 | 1.07 |
time (sec) |
N/A | 1.346 | 0.308 | 0.946 | 0.289 | 0.245 | 0.493 | 0.000 | 10.438 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | B | B | B | B | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 83 | 78 | 71 | 71 | 90 | 78 | 0 | 85 |
N.S. |
1 | 2.44 | 2.29 | 2.09 | 2.09 | 2.65 | 2.29 | 0.00 | 2.50 |
time (sec) |
N/A | 0.270 | 0.147 | 0.389 | 0.199 | 0.254 | 0.185 | 0.000 | 9.097 |
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 | 33 | 0 | 30 | 59 | 0 | 46 | 44 | 0 | 0 |
N.S. |
1 | 0.00 | 0.91 | 1.79 | 0.00 | 1.39 | 1.33 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.144 | 2.284 | 0.000 | 0.253 | 0.230 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | B | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 0 | 26 | 36 | 40 | 30 | 31 | 36 | 297 |
N.S. |
1 | 0.00 | 1.30 | 1.80 | 2.00 | 1.50 | 1.55 | 1.80 | 14.85 |
time (sec) |
N/A | 0.000 | 0.451 | 0.180 | 0.295 | 0.233 | 0.122 | 0.918 | 0.495 |
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 | 17 | 17 | 10 | 9 | 9 | 7 | 11 | 8 |
N.S. |
1 | 0.68 | 0.68 | 0.40 | 0.36 | 0.36 | 0.28 | 0.44 | 0.32 |
time (sec) |
N/A | 0.152 | 0.004 | 0.331 | 0.185 | 0.253 | 0.047 | 0.258 | 9.195 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | A | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 0 | 27 | 35 | 37 | 33 | 39 | 34 | 0 |
N.S. |
1 | 0.00 | 0.93 | 1.21 | 1.28 | 1.14 | 1.34 | 1.17 | 0.00 |
time (sec) |
N/A | 0.000 | 5.041 | 1.056 | 0.319 | 0.239 | 0.091 | 0.272 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 35 | 26 | 21 | 30 | 37 | 27 | 55 | 33 |
N.S. |
1 | 1.67 | 1.24 | 1.00 | 1.43 | 1.76 | 1.29 | 2.62 | 1.57 |
time (sec) |
N/A | 1.147 | 0.802 | 1.794 | 0.358 | 0.252 | 0.214 | 0.340 | 9.731 |
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 | 19 | 31 | 18 | 41 | 38 | 39 | 37 | 101 |
N.S. |
1 | 0.90 | 1.48 | 0.86 | 1.95 | 1.81 | 1.86 | 1.76 | 4.81 |
time (sec) |
N/A | 0.286 | 0.029 | 0.092 | 0.192 | 0.242 | 0.404 | 0.261 | 9.199 |
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 | 16 | 4 | 4 | 5 | 4 | 4 | 5 | 5 | 4 |
N.S. |
1 | 0.25 | 0.25 | 0.31 | 0.25 | 0.25 | 0.31 | 0.31 | 0.25 |
time (sec) |
N/A | 0.117 | 0.000 | 0.010 | 0.188 | 0.231 | 0.018 | 0.257 | 0.009 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 21 | 21 | 21 | 20 | 20 | 17 | 20 | 22 |
N.S. |
1 | 0.91 | 0.91 | 0.91 | 0.87 | 0.87 | 0.74 | 0.87 | 0.96 |
time (sec) |
N/A | 0.182 | 0.036 | 0.092 | 0.183 | 0.265 | 0.057 | 0.250 | 9.421 |
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 | 23 | 0 | 26 | 26 | 59 | 38 | 17 | 34 | 45 |
N.S. |
1 | 0.00 | 1.13 | 1.13 | 2.57 | 1.65 | 0.74 | 1.48 | 1.96 |
time (sec) |
N/A | 0.000 | 0.151 | 3.357 | 0.340 | 0.244 | 0.076 | 0.265 | 9.408 |
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 | 23 | 33 | 22 | 25 | 33 | 22 | 26 | 27 | 27 |
N.S. |
1 | 1.43 | 0.96 | 1.09 | 1.43 | 0.96 | 1.13 | 1.17 | 1.17 |
time (sec) |
N/A | 0.238 | 0.081 | 0.343 | 0.223 | 0.233 | 0.065 | 0.257 | 0.180 |
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 | 20 | 18 | 18 | 21 | 0 | 19 | 19 | 15 | 16 |
N.S. |
1 | 0.90 | 0.90 | 1.05 | 0.00 | 0.95 | 0.95 | 0.75 | 0.80 |
time (sec) |
N/A | 0.651 | 0.187 | 0.420 | 0.000 | 0.241 | 0.182 | 0.260 | 8.839 |
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 | 22 | 22 | 23 | 19 | 23 | 18 | 19 | 18 | 20 |
N.S. |
1 | 1.00 | 1.05 | 0.86 | 1.05 | 0.82 | 0.86 | 0.82 | 0.91 |
time (sec) |
N/A | 0.203 | 0.034 | 0.371 | 0.214 | 0.231 | 0.065 | 0.261 | 8.572 |
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 | 22 | 0 | 30 | 29 | 56 | 56 | 31 | 56 | 0 |
N.S. |
1 | 0.00 | 1.36 | 1.32 | 2.55 | 2.55 | 1.41 | 2.55 | 0.00 |
time (sec) |
N/A | 0.000 | 4.227 | 0.558 | 0.264 | 0.270 | 0.110 | 0.328 | 0.000 |
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 | 24 | 0 | 27 | 20 | 29 | 28 | 26 | 20 | 19 |
N.S. |
1 | 0.00 | 1.12 | 0.83 | 1.21 | 1.17 | 1.08 | 0.83 | 0.79 |
time (sec) |
N/A | 0.000 | 0.226 | 0.184 | 0.232 | 0.245 | 0.159 | 0.268 | 9.033 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | A | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 56 | 52 | 25 | 26 | 45 | 22 | 23 | 20 |
N.S. |
1 | 2.07 | 1.93 | 0.93 | 0.96 | 1.67 | 0.81 | 0.85 | 0.74 |
time (sec) |
N/A | 0.388 | 0.048 | 0.190 | 0.211 | 0.243 | 0.287 | 0.258 | 8.724 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 19 | 17 | 17 | 17 | 21 | 17 | 16 | 16 |
N.S. |
1 | 0.79 | 0.71 | 0.71 | 0.71 | 0.88 | 0.71 | 0.67 | 0.67 |
time (sec) |
N/A | 0.174 | 0.007 | 0.094 | 0.211 | 0.230 | 0.040 | 0.256 | 0.057 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F(-1) | A | B | F(-1) | A | B |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 36 | 0 | 37 | 0 | 37 | 67 | 0 | 38 | 44 |
N.S. |
1 | 0.00 | 1.03 | 0.00 | 1.03 | 1.86 | 0.00 | 1.06 | 1.22 |
time (sec) |
N/A | 0.000 | 5.181 | 0.000 | 0.341 | 0.251 | 0.000 | 0.279 | 9.846 |
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 | 21 | 25 | 21 | 15 | 26 | 15 | 20 | 15 | 17 |
N.S. |
1 | 1.19 | 1.00 | 0.71 | 1.24 | 0.71 | 0.95 | 0.71 | 0.81 |
time (sec) |
N/A | 0.216 | 0.133 | 0.074 | 0.252 | 0.236 | 0.051 | 0.254 | 8.964 |
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 | 26 | 20 | 23 | 24 | 36 | 19 | 22 | 24 |
N.S. |
1 | 1.13 | 0.87 | 1.00 | 1.04 | 1.57 | 0.83 | 0.96 | 1.04 |
time (sec) |
N/A | 0.262 | 0.022 | 0.135 | 0.211 | 0.254 | 0.069 | 0.254 | 0.076 |
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 | 25 | 0 | 25 | 25 | 38 | 36 | 20 | 0 | 21 |
N.S. |
1 | 0.00 | 1.00 | 1.00 | 1.52 | 1.44 | 0.80 | 0.00 | 0.84 |
time (sec) |
N/A | 0.000 | 0.356 | 0.595 | 0.334 | 0.243 | 0.333 | 0.000 | 9.068 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 6 | 3 | 3 | 4 | 3 | 3 | 2 | 3 | 3 |
N.S. |
1 | 0.50 | 0.50 | 0.67 | 0.50 | 0.50 | 0.33 | 0.50 | 0.50 |
time (sec) |
N/A | 0.117 | 0.000 | 0.007 | 0.200 | 0.229 | 0.018 | 0.250 | 0.020 |
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 | 11 | 11 | 12 | 11 | 11 | 12 | 12 | 11 |
N.S. |
1 | 0.85 | 0.85 | 0.92 | 0.85 | 0.85 | 0.92 | 0.92 | 0.85 |
time (sec) |
N/A | 0.149 | 0.006 | 0.047 | 0.198 | 0.238 | 0.037 | 0.260 | 0.051 |
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 | 13 | 0 | 13 | 12 | 11 | 12 | 10 | 11 | 12 |
N.S. |
1 | 0.00 | 1.00 | 0.92 | 0.85 | 0.92 | 0.77 | 0.85 | 0.92 |
time (sec) |
N/A | 0.000 | 0.119 | 0.192 | 0.235 | 0.249 | 0.092 | 0.250 | 9.389 |
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 | 29 | 0 | 27 | 26 | 27 | 34 | 26 | 0 | 28 |
N.S. |
1 | 0.00 | 0.93 | 0.90 | 0.93 | 1.17 | 0.90 | 0.00 | 0.97 |
time (sec) |
N/A | 0.000 | 5.137 | 0.178 | 0.347 | 0.251 | 0.127 | 0.000 | 9.121 |
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 | 26 | 24 | 22 | 19 | 36 | 20 | 17 | 37 | 16 |
N.S. |
1 | 0.92 | 0.85 | 0.73 | 1.38 | 0.77 | 0.65 | 1.42 | 0.62 |
time (sec) |
N/A | 0.159 | 0.006 | 0.171 | 0.192 | 0.242 | 0.058 | 0.252 | 9.038 |
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 | 29 | 24 | 25 | 24 | 33 | 29 | 24 | 33 |
N.S. |
1 | 1.26 | 1.04 | 1.09 | 1.04 | 1.43 | 1.26 | 1.04 | 1.43 |
time (sec) |
N/A | 0.305 | 0.014 | 0.117 | 0.193 | 0.248 | 0.082 | 0.268 | 0.077 |
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 | 25 | 77 | 17 | 17 | 36 | 16 | 17 | 16 | 16 |
N.S. |
1 | 3.08 | 0.68 | 0.68 | 1.44 | 0.64 | 0.68 | 0.64 | 0.64 |
time (sec) |
N/A | 0.247 | 0.026 | 0.066 | 0.204 | 0.248 | 0.129 | 0.262 | 9.099 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | A | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 60 | 28 | 23 | 23 | 30 | 0 | 0 | 0 |
N.S. |
1 | 2.14 | 1.00 | 0.82 | 0.82 | 1.07 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.315 | 0.091 | 1.867 | 0.421 | 0.236 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | A | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 0 | 20 | 17 | 0 | 18 | 24 | 0 | 19 |
N.S. |
1 | 0.00 | 0.95 | 0.81 | 0.00 | 0.86 | 1.14 | 0.00 | 0.90 |
time (sec) |
N/A | 0.000 | 0.827 | 200.897 | 0.000 | 0.259 | 1.170 | 0.000 | 9.390 |
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 | 27 | 0 | 33 | 28 | 30 | 27 | 48 | 30 | 27 |
N.S. |
1 | 0.00 | 1.22 | 1.04 | 1.11 | 1.00 | 1.78 | 1.11 | 1.00 |
time (sec) |
N/A | 0.000 | 0.051 | 3.319 | 0.329 | 0.240 | 0.355 | 0.305 | 9.662 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | C | B | B | B | B | B | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 0 | 302 | 110 | 99 | 95 | 131 | 132 | 0 |
N.S. |
1 | 0.00 | 9.74 | 3.55 | 3.19 | 3.06 | 4.23 | 4.26 | 0.00 |
time (sec) |
N/A | 0.000 | 0.694 | 0.650 | 0.332 | 0.260 | 0.759 | 0.306 | 0.000 |
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 | 23 | 0 | 22 | 21 | 32 | 20 | 15 | 25 | 20 |
N.S. |
1 | 0.00 | 0.96 | 0.91 | 1.39 | 0.87 | 0.65 | 1.09 | 0.87 |
time (sec) |
N/A | 0.000 | 0.342 | 8.216 | 0.310 | 0.238 | 0.072 | 0.256 | 9.052 |
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 | 44 | 20 | 20 | 33 | 33 | 20 | 39 | 34 |
N.S. |
1 | 1.83 | 0.83 | 0.83 | 1.38 | 1.38 | 0.83 | 1.62 | 1.42 |
time (sec) |
N/A | 0.518 | 0.099 | 0.481 | 0.313 | 0.251 | 0.125 | 0.275 | 9.291 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | A | A | B | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 199 | 34 | 47 | 47 | 40 | 49 | 50 | 0 |
N.S. |
1 | 8.65 | 1.48 | 2.04 | 2.04 | 1.74 | 2.13 | 2.17 | 0.00 |
time (sec) |
N/A | 0.724 | 0.058 | 0.439 | 0.200 | 0.247 | 2.570 | 0.276 | 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 | 8 | 7 | 7 | 8 | 7 | 7 | 5 | 7 | 7 |
N.S. |
1 | 0.88 | 0.88 | 1.00 | 0.88 | 0.88 | 0.62 | 0.88 | 0.88 |
time (sec) |
N/A | 0.226 | 0.002 | 0.044 | 0.188 | 0.253 | 0.042 | 0.246 | 9.499 |
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 | 33 | 30 | 31 | 27 | 30 | 29 | 30 | 34 |
N.S. |
1 | 1.10 | 1.00 | 1.03 | 0.90 | 1.00 | 0.97 | 1.00 | 1.13 |
time (sec) |
N/A | 3.071 | 0.233 | 9.951 | 0.347 | 0.248 | 1.908 | 0.285 | 0.269 |
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 | 29 | 0 | 88 | 54 | 90 | 66 | 92 | 120 | 0 |
N.S. |
1 | 0.00 | 3.03 | 1.86 | 3.10 | 2.28 | 3.17 | 4.14 | 0.00 |
time (sec) |
N/A | 0.000 | 0.135 | 1.479 | 0.232 | 0.266 | 4.372 | 0.346 | 0.000 |
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 | 33 | 0 | 31 | 35 | 43 | 34 | 27 | 48 | 34 |
N.S. |
1 | 0.00 | 0.94 | 1.06 | 1.30 | 1.03 | 0.82 | 1.45 | 1.03 |
time (sec) |
N/A | 0.000 | 0.070 | 6.415 | 0.259 | 0.240 | 0.126 | 0.415 | 11.572 |
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 | 16 | 16 | 14 | 14 | 17 | 17 | 17 | 17 | 13 |
N.S. |
1 | 1.00 | 0.88 | 0.88 | 1.06 | 1.06 | 1.06 | 1.06 | 0.81 |
time (sec) |
N/A | 0.125 | 0.002 | 0.082 | 0.191 | 0.246 | 0.020 | 0.256 | 0.059 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | B | F | B | B | B | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 0 | 21 | 173 | 0 | 107 | 122 | 107 | 120 |
N.S. |
1 | 0.00 | 0.95 | 7.86 | 0.00 | 4.86 | 5.55 | 4.86 | 5.45 |
time (sec) |
N/A | 0.000 | 5.056 | 2.272 | 0.000 | 0.252 | 0.315 | 0.407 | 9.851 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 34 | 25 | 23 | 23 | 23 | 20 | 23 | 20 |
N.S. |
1 | 1.21 | 0.89 | 0.82 | 0.82 | 0.82 | 0.71 | 0.82 | 0.71 |
time (sec) |
N/A | 0.163 | 0.067 | 0.175 | 0.187 | 0.237 | 0.052 | 0.253 | 0.086 |
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 | 16 | 0 | 20 | 17 | 16 | 14 | 17 | 16 | 14 |
N.S. |
1 | 0.00 | 1.25 | 1.06 | 1.00 | 0.88 | 1.06 | 1.00 | 0.88 |
time (sec) |
N/A | 0.000 | 0.155 | 0.511 | 0.256 | 0.238 | 0.107 | 0.260 | 10.023 |
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 | 35 | 35 | 28 | 27 | 27 | 29 | 29 | 30 |
N.S. |
1 | 1.13 | 1.13 | 0.90 | 0.87 | 0.87 | 0.94 | 0.94 | 0.97 |
time (sec) |
N/A | 0.228 | 0.009 | 0.405 | 0.187 | 0.236 | 0.043 | 0.257 | 0.051 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | C | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 204 | 220 | 247 | 31 | 26 | 24 | 60 | 28 |
N.S. |
1 | 7.56 | 8.15 | 9.15 | 1.15 | 0.96 | 0.89 | 2.22 | 1.04 |
time (sec) |
N/A | 1.997 | 0.181 | 2.447 | 0.552 | 0.249 | 0.193 | 0.287 | 10.253 |
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 | 18 | 20 | 18 | 22 | 48 | 21 | 19 | 23 | 21 |
N.S. |
1 | 1.11 | 1.00 | 1.22 | 2.67 | 1.17 | 1.06 | 1.28 | 1.17 |
time (sec) |
N/A | 0.304 | 0.099 | 0.637 | 0.330 | 0.247 | 0.241 | 0.294 | 9.910 |
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 | 28 | 0 | 26 | 27 | 35 | 35 | 31 | 56 | 27 |
N.S. |
1 | 0.00 | 0.93 | 0.96 | 1.25 | 1.25 | 1.11 | 2.00 | 0.96 |
time (sec) |
N/A | 0.000 | 0.424 | 3.826 | 0.220 | 0.259 | 0.090 | 0.304 | 9.378 |
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 | 20 | 16 | 20 | 19 | 21 | 20 | 19 | 18 |
N.S. |
1 | 0.80 | 0.64 | 0.80 | 0.76 | 0.84 | 0.80 | 0.76 | 0.72 |
time (sec) |
N/A | 0.392 | 0.861 | 4.938 | 0.222 | 0.269 | 0.115 | 0.268 | 0.258 |
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 | 21 | 16 | 24 | 23 | 19 | 16 | 15 |
N.S. |
1 | 0.00 | 0.81 | 0.62 | 0.92 | 0.88 | 0.73 | 0.62 | 0.58 |
time (sec) |
N/A | 0.000 | 0.228 | 0.184 | 0.239 | 0.253 | 0.128 | 0.249 | 0.084 |
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 | 21 | 18 | 22 | 24 | 28 | 24 | 28 | 23 |
N.S. |
1 | 0.91 | 0.78 | 0.96 | 1.04 | 1.22 | 1.04 | 1.22 | 1.00 |
time (sec) |
N/A | 0.147 | 0.013 | 0.387 | 0.206 | 0.250 | 0.034 | 0.256 | 0.076 |
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 | 28 | 22 | 19 | 21 | 15 | 21 | 18 |
N.S. |
1 | 0.00 | 1.47 | 1.16 | 1.00 | 1.11 | 0.79 | 1.11 | 0.95 |
time (sec) |
N/A | 0.000 | 0.835 | 0.871 | 0.218 | 0.257 | 0.072 | 0.252 | 9.250 |
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 | 23 | 0 | 23 | 22 | 35 | 35 | 34 | 35 | 35 |
N.S. |
1 | 0.00 | 1.00 | 0.96 | 1.52 | 1.52 | 1.48 | 1.52 | 1.52 |
time (sec) |
N/A | 0.000 | 0.321 | 0.364 | 0.253 | 0.253 | 0.129 | 0.275 | 9.408 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | C | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 64 | 26 | 19 | 42 | 23 | 17 | 18 | 15 |
N.S. |
1 | 3.76 | 1.53 | 1.12 | 2.47 | 1.35 | 1.00 | 1.06 | 0.88 |
time (sec) |
N/A | 0.594 | 0.091 | 0.058 | 0.225 | 0.260 | 0.045 | 0.263 | 9.166 |
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 | 16 | 24 | 19 | 18 | 17 | 17 | 17 | 17 | 18 |
N.S. |
1 | 1.50 | 1.19 | 1.12 | 1.06 | 1.06 | 1.06 | 1.06 | 1.12 |
time (sec) |
N/A | 0.170 | 0.008 | 0.680 | 0.203 | 0.244 | 0.109 | 0.251 | 0.175 |