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 | C | A | A | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 3 | 3 | 3 | 4 | 10 | 3 | 2 | 10 | 3 |
N.S. |
1 | 1.00 | 1.00 | 1.33 | 3.33 | 1.00 | 0.67 | 3.33 | 1.00 |
time (sec) |
N/A | 0.001 | 0.000 | 0.016 | 0.355 | 0.237 | 0.068 | 0.319 | 7.313 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 25 | 13 | 29 | 20 | 49 | 59 | 27 |
N.S. |
1 | 1.00 | 2.08 | 1.08 | 2.42 | 1.67 | 4.08 | 4.92 | 2.25 |
time (sec) |
N/A | 0.009 | 0.016 | 0.170 | 0.349 | 0.269 | 0.500 | 0.333 | 7.006 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 30 | 22 | 23 | 42 | 37 | 39 | 16 |
N.S. |
1 | 1.00 | 1.76 | 1.29 | 1.35 | 2.47 | 2.18 | 2.29 | 0.94 |
time (sec) |
N/A | 0.015 | 0.023 | 0.159 | 0.295 | 0.253 | 0.416 | 0.356 | 7.124 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 35 | 26 | 40 | 53 | 76 | 124 | 37 |
N.S. |
1 | 1.00 | 1.17 | 0.87 | 1.33 | 1.77 | 2.53 | 4.13 | 1.23 |
time (sec) |
N/A | 0.020 | 0.092 | 0.169 | 0.296 | 0.250 | 0.915 | 0.385 | 7.272 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 34 | 27 | 38 | 90 | 49 | 69 | 32 |
N.S. |
1 | 1.00 | 1.10 | 0.87 | 1.23 | 2.90 | 1.58 | 2.23 | 1.03 |
time (sec) |
N/A | 0.023 | 0.020 | 0.171 | 0.313 | 0.259 | 0.711 | 0.410 | 7.142 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 108 | 93 | 104 | 144 | 782 | 105 | 114 |
N.S. |
1 | 1.00 | 1.06 | 0.91 | 1.02 | 1.41 | 7.67 | 1.03 | 1.12 |
time (sec) |
N/A | 0.292 | 0.394 | 0.096 | 0.285 | 0.265 | 1.473 | 0.894 | 8.162 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 92 | 80 | 89 | 119 | 660 | 90 | 98 |
N.S. |
1 | 1.00 | 1.11 | 0.96 | 1.07 | 1.43 | 7.95 | 1.08 | 1.18 |
time (sec) |
N/A | 0.185 | 0.385 | 0.085 | 0.278 | 0.265 | 1.044 | 0.669 | 7.209 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 79 | 59 | 75 | 95 | 442 | 76 | 81 |
N.S. |
1 | 1.00 | 0.98 | 0.73 | 0.93 | 1.17 | 5.46 | 0.94 | 1.00 |
time (sec) |
N/A | 0.137 | 0.044 | 0.065 | 0.279 | 0.274 | 0.741 | 0.506 | 7.363 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 48 | 67 | 51 | 71 | 65 | 282 | 76 | 79 |
N.S. |
1 | 1.00 | 1.40 | 1.06 | 1.48 | 1.35 | 5.88 | 1.58 | 1.65 |
time (sec) |
N/A | 0.079 | 0.110 | 0.051 | 0.291 | 0.253 | 0.578 | 0.385 | 8.753 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 77 | 51 | 72 | 64 | 272 | 77 | 76 |
N.S. |
1 | 1.00 | 1.64 | 1.09 | 1.53 | 1.36 | 5.79 | 1.64 | 1.62 |
time (sec) |
N/A | 0.057 | 0.025 | 0.049 | 0.291 | 0.254 | 0.574 | 0.377 | 8.077 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 79 | 80 | 88 | 104 | 672 | 92 | 99 |
N.S. |
1 | 1.00 | 1.14 | 1.16 | 1.28 | 1.51 | 9.74 | 1.33 | 1.43 |
time (sec) |
N/A | 0.106 | 0.147 | 0.241 | 0.290 | 0.263 | 1.431 | 0.461 | 7.401 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 97 | 95 | 105 | 147 | 1137 | 122 | 113 |
N.S. |
1 | 1.00 | 1.14 | 1.12 | 1.24 | 1.73 | 13.38 | 1.44 | 1.33 |
time (sec) |
N/A | 0.217 | 0.399 | 0.242 | 0.292 | 0.271 | 2.654 | 0.525 | 7.563 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 112 | 112 | 107 | 115 | 130 | 192 | 1401 | 165 | 143 |
N.S. |
1 | 1.00 | 0.96 | 1.03 | 1.16 | 1.71 | 12.51 | 1.47 | 1.28 |
time (sec) |
N/A | 0.390 | 0.652 | 0.293 | 0.291 | 0.272 | 3.825 | 0.598 | 7.298 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 62 | 33 | 35 | 44 | 39 | 36 | 49 |
N.S. |
1 | 1.00 | 2.48 | 1.32 | 1.40 | 1.76 | 1.56 | 1.44 | 1.96 |
time (sec) |
N/A | 0.056 | 0.058 | 0.042 | 0.286 | 0.249 | 0.089 | 0.345 | 7.683 |
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 | 58 | 58 | 65 | 85 | 95 | 78 | 235 | 99 | 112 |
N.S. |
1 | 1.00 | 1.12 | 1.47 | 1.64 | 1.34 | 4.05 | 1.71 | 1.93 |
time (sec) |
N/A | 0.087 | 0.129 | 0.053 | 0.278 | 0.286 | 0.455 | 0.361 | 8.682 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 187 | 125 | 161 | 191 | 1348 | 199 | 152 |
N.S. |
1 | 1.00 | 1.85 | 1.24 | 1.59 | 1.89 | 13.35 | 1.97 | 1.50 |
time (sec) |
N/A | 0.163 | 2.580 | 0.082 | 0.300 | 0.257 | 0.750 | 0.422 | 7.811 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 233 | 233 | 212 | 937 | 0 | 1312 | 0 | 0 | 1093 |
N.S. |
1 | 1.00 | 0.91 | 4.02 | 0.00 | 5.63 | 0.00 | 0.00 | 4.69 |
time (sec) |
N/A | 0.756 | 2.966 | 0.398 | 0.000 | 0.275 | 0.000 | 0.000 | 66.519 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 186 | 186 | 169 | 873 | 0 | 1265 | 0 | 0 | 938 |
N.S. |
1 | 1.00 | 0.91 | 4.69 | 0.00 | 6.80 | 0.00 | 0.00 | 5.04 |
time (sec) |
N/A | 0.647 | 2.089 | 0.128 | 0.000 | 0.272 | 0.000 | 0.000 | 25.434 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 146 | 146 | 140 | 829 | 0 | 1228 | 0 | 0 | 864 |
N.S. |
1 | 1.00 | 0.96 | 5.68 | 0.00 | 8.41 | 0.00 | 0.00 | 5.92 |
time (sec) |
N/A | 0.492 | 0.551 | 0.109 | 0.000 | 0.292 | 0.000 | 0.000 | 14.084 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 122 | 122 | 120 | 812 | 0 | 1199 | 0 | 0 | 845 |
N.S. |
1 | 1.00 | 0.98 | 6.66 | 0.00 | 9.83 | 0.00 | 0.00 | 6.93 |
time (sec) |
N/A | 0.365 | 0.141 | 0.094 | 0.000 | 0.328 | 0.000 | 0.000 | 10.813 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 131 | 219 | 976 | 0 | 2452 | 0 | 0 | 9785 |
N.S. |
1 | 1.00 | 1.67 | 7.45 | 0.00 | 18.72 | 0.00 | 0.00 | 74.69 |
time (sec) |
N/A | 0.596 | 0.655 | 0.237 | 0.000 | 0.530 | 0.000 | 0.000 | 10.088 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 167 | 167 | 235 | 1029 | 0 | 2579 | 0 | 0 | 10987 |
N.S. |
1 | 1.00 | 1.41 | 6.16 | 0.00 | 15.44 | 0.00 | 0.00 | 65.79 |
time (sec) |
N/A | 0.689 | 2.651 | 0.224 | 0.000 | 0.878 | 0.000 | 0.000 | 8.826 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 219 | 219 | 271 | 1145 | 0 | 2691 | 0 | 0 | 14195 |
N.S. |
1 | 1.00 | 1.24 | 5.23 | 0.00 | 12.29 | 0.00 | 0.00 | 64.82 |
time (sec) |
N/A | 0.949 | 4.917 | 0.246 | 0.000 | 3.173 | 0.000 | 0.000 | 9.457 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 279 | 279 | 566 | 1295 | 0 | 2769 | 0 | 0 | 16796 |
N.S. |
1 | 1.00 | 2.03 | 4.64 | 0.00 | 9.92 | 0.00 | 0.00 | 60.20 |
time (sec) |
N/A | 1.362 | 6.494 | 0.226 | 0.000 | 9.350 | 0.000 | 0.000 | 9.611 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 214 | 214 | 252 | 1697 | 0 | 3148 | 0 | 0 | 2993 |
N.S. |
1 | 1.00 | 1.18 | 7.93 | 0.00 | 14.71 | 0.00 | 0.00 | 13.99 |
time (sec) |
N/A | 0.701 | 2.796 | 0.151 | 0.000 | 0.475 | 0.000 | 0.000 | 82.098 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 175 | 175 | 192 | 1668 | 0 | 3102 | 0 | 0 | 2868 |
N.S. |
1 | 1.00 | 1.10 | 9.53 | 0.00 | 17.73 | 0.00 | 0.00 | 16.39 |
time (sec) |
N/A | 0.436 | 1.392 | 0.106 | 0.000 | 0.457 | 0.000 | 0.000 | 34.894 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 150 | 150 | 140 | 1657 | 0 | 3058 | 0 | 0 | 2823 |
N.S. |
1 | 1.00 | 0.93 | 11.05 | 0.00 | 20.39 | 0.00 | 0.00 | 18.82 |
time (sec) |
N/A | 0.362 | 0.545 | 0.090 | 0.000 | 0.473 | 0.000 | 0.000 | 20.844 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 152 | 152 | 144 | 1654 | 0 | 6165 | 0 | 0 | 20255 |
N.S. |
1 | 1.00 | 0.95 | 10.88 | 0.00 | 40.56 | 0.00 | 0.00 | 133.26 |
time (sec) |
N/A | 0.728 | 0.408 | 0.244 | 0.000 | 2.671 | 0.000 | 0.000 | 11.797 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 169 | 169 | 282 | 1689 | 0 | 6248 | 0 | 0 | 21319 |
N.S. |
1 | 1.00 | 1.67 | 9.99 | 0.00 | 36.97 | 0.00 | 0.00 | 126.15 |
time (sec) |
N/A | 0.748 | 0.641 | 0.235 | 0.000 | 3.339 | 0.000 | 0.000 | 9.838 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 219 | 219 | 195 | 1805 | 0 | 6357 | 0 | 0 | 23016 |
N.S. |
1 | 1.00 | 0.89 | 8.24 | 0.00 | 29.03 | 0.00 | 0.00 | 105.10 |
time (sec) |
N/A | 1.108 | 2.704 | 0.260 | 0.000 | 6.199 | 0.000 | 0.000 | 9.952 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-1) | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 278 | 278 | 241 | 1985 | 0 | 6452 | 0 | 0 | 25789 |
N.S. |
1 | 1.00 | 0.87 | 7.14 | 0.00 | 23.21 | 0.00 | 0.00 | 92.77 |
time (sec) |
N/A | 1.589 | 5.974 | 0.222 | 0.000 | 15.332 | 0.000 | 0.000 | 10.787 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-1) | B | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 252 | 252 | 296 | 2438 | 0 | 4963 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.17 | 9.67 | 0.00 | 19.69 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.070 | 4.966 | 0.177 | 0.000 | 0.864 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 213 | 213 | 258 | 2407 | 0 | 4916 | 0 | 0 | 3932 |
N.S. |
1 | 1.00 | 1.21 | 11.30 | 0.00 | 23.08 | 0.00 | 0.00 | 18.46 |
time (sec) |
N/A | 0.606 | 1.735 | 0.117 | 0.000 | 0.838 | 0.000 | 0.000 | 94.320 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 188 | 188 | 233 | 2387 | 0 | 4855 | 0 | 0 | 3863 |
N.S. |
1 | 1.00 | 1.24 | 12.70 | 0.00 | 25.82 | 0.00 | 0.00 | 20.55 |
time (sec) |
N/A | 0.483 | 1.166 | 0.108 | 0.000 | 0.820 | 0.000 | 0.000 | 41.525 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 182 | 182 | 177 | 2373 | 0 | 9757 | 0 | 0 | 29441 |
N.S. |
1 | 1.00 | 0.97 | 13.04 | 0.00 | 53.61 | 0.00 | 0.00 | 161.76 |
time (sec) |
N/A | 1.008 | 1.263 | 0.253 | 0.000 | 10.913 | 0.000 | 0.000 | 14.543 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | B | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 196 | 196 | 400 | 2390 | 0 | 9815 | 0 | 0 | 31186 |
N.S. |
1 | 1.00 | 2.04 | 12.19 | 0.00 | 50.08 | 0.00 | 0.00 | 159.11 |
time (sec) |
N/A | 1.033 | 1.129 | 0.236 | 0.000 | 13.312 | 0.000 | 0.000 | 11.722 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-1) | B | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 220 | 220 | 448 | 2488 | 0 | 9888 | 0 | 0 | 32561 |
N.S. |
1 | 1.00 | 2.04 | 11.31 | 0.00 | 44.95 | 0.00 | 0.00 | 148.00 |
time (sec) |
N/A | 1.081 | 2.552 | 0.266 | 0.000 | 16.382 | 0.000 | 0.000 | 12.572 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-1) | B | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 277 | 277 | 548 | 2668 | 0 | 9965 | 0 | 0 | 33949 |
N.S. |
1 | 1.00 | 1.98 | 9.63 | 0.00 | 35.97 | 0.00 | 0.00 | 122.56 |
time (sec) |
N/A | 1.475 | 6.488 | 0.249 | 0.000 | 25.113 | 0.000 | 0.000 | 11.684 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-1) | B | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 342 | 342 | 622 | 2914 | 0 | 10107 | 0 | 0 | 36736 |
N.S. |
1 | 1.00 | 1.82 | 8.52 | 0.00 | 29.55 | 0.00 | 0.00 | 107.42 |
time (sec) |
N/A | 2.308 | 6.578 | 0.296 | 0.000 | 55.784 | 0.000 | 0.000 | 12.432 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 151 | 151 | 193 | 1375 | 0 | 1472 | 0 | 0 | 3441 |
N.S. |
1 | 1.00 | 1.28 | 9.11 | 0.00 | 9.75 | 0.00 | 0.00 | 22.79 |
time (sec) |
N/A | 0.443 | 1.421 | 0.079 | 0.000 | 0.290 | 0.000 | 0.000 | 32.674 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 408 | 408 | 183 | 986 | 0 | 956 | 0 | 0 | 2529 |
N.S. |
1 | 1.00 | 0.45 | 2.42 | 0.00 | 2.34 | 0.00 | 0.00 | 6.20 |
time (sec) |
N/A | 0.616 | 0.506 | 0.086 | 0.000 | 0.285 | 0.000 | 0.000 | 19.901 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 422 | 422 | 157 | 814 | 0 | 719 | 0 | 0 | 581 |
N.S. |
1 | 1.00 | 0.37 | 1.93 | 0.00 | 1.70 | 0.00 | 0.00 | 1.38 |
time (sec) |
N/A | 0.585 | 0.260 | 0.073 | 0.000 | 0.269 | 0.000 | 0.000 | 10.209 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 213 | 213 | 170 | 2015 | 0 | 1767 | 0 | 0 | 3054 |
N.S. |
1 | 1.00 | 0.80 | 9.46 | 0.00 | 8.30 | 0.00 | 0.00 | 14.34 |
time (sec) |
N/A | 0.642 | 4.341 | 0.181 | 0.000 | 0.297 | 0.000 | 0.000 | 16.395 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 166 | 166 | 139 | 1949 | 0 | 1725 | 0 | 0 | 2981 |
N.S. |
1 | 1.00 | 0.84 | 11.74 | 0.00 | 10.39 | 0.00 | 0.00 | 17.96 |
time (sec) |
N/A | 0.460 | 1.687 | 0.125 | 0.000 | 0.306 | 0.000 | 0.000 | 11.913 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 124 | 124 | 118 | 1910 | 0 | 1706 | 0 | 0 | 2930 |
N.S. |
1 | 1.00 | 0.95 | 15.40 | 0.00 | 13.76 | 0.00 | 0.00 | 23.63 |
time (sec) |
N/A | 0.270 | 0.558 | 0.120 | 0.000 | 0.304 | 0.000 | 0.000 | 11.279 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 101 | 1892 | 0 | 1669 | 0 | 0 | 2909 |
N.S. |
1 | 1.00 | 0.99 | 18.55 | 0.00 | 16.36 | 0.00 | 0.00 | 28.52 |
time (sec) |
N/A | 0.190 | 0.121 | 0.504 | 0.000 | 0.279 | 0.000 | 0.000 | 10.167 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 131 | 170 | 4002 | 0 | 3458 | 0 | 0 | 7099 |
N.S. |
1 | 1.00 | 1.30 | 30.55 | 0.00 | 26.40 | 0.00 | 0.00 | 54.19 |
time (sec) |
N/A | 0.433 | 0.812 | 0.279 | 0.000 | 0.815 | 0.000 | 0.000 | 12.117 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 169 | 169 | 201 | 4057 | 0 | 3582 | 0 | 0 | 9790 |
N.S. |
1 | 1.00 | 1.19 | 24.01 | 0.00 | 21.20 | 0.00 | 0.00 | 57.93 |
time (sec) |
N/A | 0.659 | 3.144 | 0.225 | 0.000 | 1.994 | 0.000 | 0.000 | 9.957 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 224 | 224 | 360 | 4175 | 0 | 3688 | 0 | 0 | 13182 |
N.S. |
1 | 1.00 | 1.61 | 18.64 | 0.00 | 16.46 | 0.00 | 0.00 | 58.85 |
time (sec) |
N/A | 0.960 | 6.319 | 0.236 | 0.000 | 7.510 | 0.000 | 0.000 | 10.907 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-1) | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 264 | 264 | 300 | 3754 | 0 | 4421 | 0 | 0 | 5811 |
N.S. |
1 | 1.00 | 1.14 | 14.22 | 0.00 | 16.75 | 0.00 | 0.00 | 22.01 |
time (sec) |
N/A | 0.935 | 3.795 | 0.183 | 0.000 | 0.709 | 0.000 | 0.000 | 23.823 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-1) | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 167 | 167 | 248 | 3713 | 0 | 4379 | 0 | 0 | 5768 |
N.S. |
1 | 1.00 | 1.49 | 22.23 | 0.00 | 26.22 | 0.00 | 0.00 | 34.54 |
time (sec) |
N/A | 0.714 | 1.408 | 0.176 | 0.000 | 0.697 | 0.000 | 0.000 | 16.124 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 141 | 141 | 229 | 3688 | 0 | 4329 | 0 | 0 | 5742 |
N.S. |
1 | 1.00 | 1.62 | 26.16 | 0.00 | 30.70 | 0.00 | 0.00 | 40.72 |
time (sec) |
N/A | 0.459 | 1.524 | 0.103 | 0.000 | 0.698 | 0.000 | 0.000 | 15.338 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 138 | 138 | 113 | 3684 | 0 | 4318 | 0 | 0 | 5737 |
N.S. |
1 | 1.00 | 0.82 | 26.70 | 0.00 | 31.29 | 0.00 | 0.00 | 41.57 |
time (sec) |
N/A | 0.426 | 0.230 | 0.092 | 0.000 | 0.687 | 0.000 | 0.000 | 14.920 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 171 | 171 | 186 | 7982 | 0 | 8820 | 0 | 0 | 26139 |
N.S. |
1 | 1.00 | 1.09 | 46.68 | 0.00 | 51.58 | 0.00 | 0.00 | 152.86 |
time (sec) |
N/A | 0.895 | 1.336 | 0.233 | 0.000 | 4.109 | 0.000 | 0.000 | 15.353 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 219 | 219 | 208 | 8043 | 0 | 9075 | 0 | 0 | 38368 |
N.S. |
1 | 1.00 | 0.95 | 36.73 | 0.00 | 41.44 | 0.00 | 0.00 | 175.20 |
time (sec) |
N/A | 0.993 | 4.168 | 0.240 | 0.000 | 17.367 | 0.000 | 0.000 | 12.654 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-1) | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 285 | 285 | 409 | 8164 | 0 | 9219 | 0 | 0 | 42371 |
N.S. |
1 | 1.00 | 1.44 | 28.65 | 0.00 | 32.35 | 0.00 | 0.00 | 148.67 |
time (sec) |
N/A | 1.411 | 6.279 | 0.245 | 0.000 | 42.423 | 0.000 | 0.000 | 12.504 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-1) | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 371 | 371 | 450 | 4592 | 0 | 7358 | 0 | 0 | 9547 |
N.S. |
1 | 1.00 | 1.21 | 12.38 | 0.00 | 19.83 | 0.00 | 0.00 | 25.73 |
time (sec) |
N/A | 1.256 | 6.389 | 0.198 | 0.000 | 2.204 | 0.000 | 0.000 | 47.632 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-1) | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 261 | 261 | 309 | 4548 | 0 | 7284 | 0 | 0 | 9498 |
N.S. |
1 | 1.00 | 1.18 | 17.43 | 0.00 | 27.91 | 0.00 | 0.00 | 36.39 |
time (sec) |
N/A | 0.896 | 3.638 | 0.143 | 0.000 | 2.204 | 0.000 | 0.000 | 37.094 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-1) | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 198 | 198 | 260 | 4492 | 0 | 7218 | 0 | 0 | 9468 |
N.S. |
1 | 1.00 | 1.31 | 22.69 | 0.00 | 36.45 | 0.00 | 0.00 | 47.82 |
time (sec) |
N/A | 0.666 | 1.155 | 0.117 | 0.000 | 2.235 | 0.000 | 0.000 | 27.682 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-1) | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 188 | 188 | 325 | 4484 | 0 | 7209 | 0 | 0 | 9464 |
N.S. |
1 | 1.00 | 1.73 | 23.85 | 0.00 | 38.35 | 0.00 | 0.00 | 50.34 |
time (sec) |
N/A | 0.633 | 3.868 | 0.127 | 0.000 | 2.258 | 0.000 | 0.000 | 26.558 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 185 | 185 | 115 | 4473 | 0 | 7181 | 0 | 0 | 9457 |
N.S. |
1 | 1.00 | 0.62 | 24.18 | 0.00 | 38.82 | 0.00 | 0.00 | 51.12 |
time (sec) |
N/A | 0.616 | 0.267 | 0.110 | 0.000 | 2.214 | 0.000 | 0.000 | 27.143 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 224 | 224 | 242 | 12870 | 0 | 14700 | 0 | 0 | 45681 |
N.S. |
1 | 1.00 | 1.08 | 57.46 | 0.00 | 65.62 | 0.00 | 0.00 | 203.93 |
time (sec) |
N/A | 1.416 | 5.470 | 0.228 | 0.000 | 19.726 | 0.000 | 0.000 | 18.988 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-1) | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 289 | 289 | 306 | 12968 | 0 | 15082 | 0 | 0 | 67465 |
N.S. |
1 | 1.00 | 1.06 | 44.87 | 0.00 | 52.19 | 0.00 | 0.00 | 233.44 |
time (sec) |
N/A | 1.515 | 5.430 | 0.259 | 0.000 | 57.597 | 0.000 | 0.000 | 15.511 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-1) | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 364 | 364 | 593 | 13092 | 0 | 15325 | 0 | 0 | 71314 |
N.S. |
1 | 1.00 | 1.63 | 35.97 | 0.00 | 42.10 | 0.00 | 0.00 | 195.92 |
time (sec) |
N/A | 1.860 | 6.363 | 0.274 | 0.000 | 111.451 | 0.000 | 0.000 | 14.666 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | A | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 362 | 362 | 88 | 662 | 0 | 399 | 0 | 0 | 3033 |
N.S. |
1 | 1.00 | 0.24 | 1.83 | 0.00 | 1.10 | 0.00 | 0.00 | 8.38 |
time (sec) |
N/A | 0.495 | 0.082 | 0.120 | 0.000 | 0.257 | 0.000 | 0.000 | 9.979 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 406 | 406 | 88 | 1575 | 0 | 805 | 0 | 0 | 6453 |
N.S. |
1 | 1.00 | 0.22 | 3.88 | 0.00 | 1.98 | 0.00 | 0.00 | 15.89 |
time (sec) |
N/A | 0.594 | 0.035 | 0.118 | 0.000 | 0.263 | 0.000 | 0.000 | 12.469 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-1) | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 119 | 119 | 112 | 374 | 0 | 1674 | 0 | 0 | 2142 |
N.S. |
1 | 1.00 | 0.94 | 3.14 | 0.00 | 14.07 | 0.00 | 0.00 | 18.00 |
time (sec) |
N/A | 0.515 | 0.091 | 0.343 | 0.000 | 0.291 | 0.000 | 0.000 | 10.113 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 123 | 123 | 106 | 1955 | 0 | 2174 | 0 | 0 | 9618 |
N.S. |
1 | 1.00 | 0.86 | 15.89 | 0.00 | 17.67 | 0.00 | 0.00 | 78.20 |
time (sec) |
N/A | 0.322 | 0.139 | 0.088 | 0.000 | 0.305 | 0.000 | 0.000 | 21.213 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-1) | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 154 | 154 | 166 | 1779 | 0 | 4578 | 0 | 0 | 7172 |
N.S. |
1 | 1.00 | 1.08 | 11.55 | 0.00 | 29.73 | 0.00 | 0.00 | 46.57 |
time (sec) |
N/A | 0.852 | 1.248 | 0.330 | 0.000 | 0.390 | 0.000 | 0.000 | 14.086 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 109 | 1893 | 0 | 1115 | 0 | 0 | 2731 |
N.S. |
1 | 1.00 | 1.07 | 18.56 | 0.00 | 10.93 | 0.00 | 0.00 | 26.77 |
time (sec) |
N/A | 0.188 | 0.203 | 0.090 | 0.000 | 0.263 | 0.000 | 0.000 | 10.321 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 132 | 132 | 154 | 2291 | 0 | 2320 | 0 | 0 | 5475 |
N.S. |
1 | 1.00 | 1.17 | 17.36 | 0.00 | 17.58 | 0.00 | 0.00 | 41.48 |
time (sec) |
N/A | 0.289 | 0.432 | 0.117 | 0.000 | 0.295 | 0.000 | 0.000 | 13.948 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 174 | 174 | 156 | 3055 | 0 | 3695 | 0 | 0 | 8437 |
N.S. |
1 | 1.00 | 0.90 | 17.56 | 0.00 | 21.24 | 0.00 | 0.00 | 48.49 |
time (sec) |
N/A | 0.426 | 0.313 | 0.100 | 0.000 | 0.344 | 0.000 | 0.000 | 24.858 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 45 | 45 | 45 | 729 | 6480 | 249 | 0 | 155 | 1410 |
N.S. |
1 | 1.00 | 1.00 | 16.20 | 144.00 | 5.53 | 0.00 | 3.44 | 31.33 |
time (sec) |
N/A | 0.067 | 0.438 | 0.105 | 0.636 | 0.244 | 0.000 | 0.407 | 10.392 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 45 | 45 | 45 | 741 | 0 | 267 | 0 | 155 | 1410 |
N.S. |
1 | 1.00 | 1.00 | 16.47 | 0.00 | 5.93 | 0.00 | 3.44 | 31.33 |
time (sec) |
N/A | 0.069 | 0.044 | 0.092 | 0.000 | 0.242 | 0.000 | 0.402 | 9.215 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 61 | 54 | 0 | 28 | 0 | 65 | 31 |
N.S. |
1 | 1.00 | 2.03 | 1.80 | 0.00 | 0.93 | 0.00 | 2.17 | 1.03 |
time (sec) |
N/A | 0.037 | 0.767 | 0.225 | 0.000 | 0.248 | 0.000 | 0.329 | 0.860 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 61 | 52 | 0 | 47 | 0 | 57 | 35 |
N.S. |
1 | 1.00 | 2.26 | 1.93 | 0.00 | 1.74 | 0.00 | 2.11 | 1.30 |
time (sec) |
N/A | 0.041 | 0.926 | 0.048 | 0.000 | 0.250 | 0.000 | 0.301 | 0.691 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 75 | 134 | 0 | 309 | 0 | 0 | 147 |
N.S. |
1 | 1.00 | 0.88 | 1.58 | 0.00 | 3.64 | 0.00 | 0.00 | 1.73 |
time (sec) |
N/A | 0.141 | 0.106 | 0.231 | 0.000 | 0.254 | 0.000 | 0.000 | 8.935 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 278 | 278 | 151 | 275 | 227 | 2266 | 0 | 0 | 1522 |
N.S. |
1 | 1.00 | 0.54 | 0.99 | 0.82 | 8.15 | 0.00 | 0.00 | 5.47 |
time (sec) |
N/A | 0.377 | 1.742 | 0.065 | 0.368 | 0.389 | 0.000 | 0.000 | 18.211 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 254 | 254 | 134 | 253 | 210 | 2252 | 0 | 0 | 1492 |
N.S. |
1 | 1.00 | 0.53 | 1.00 | 0.83 | 8.87 | 0.00 | 0.00 | 5.87 |
time (sec) |
N/A | 0.337 | 1.104 | 0.037 | 0.388 | 0.381 | 0.000 | 0.000 | 14.410 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 229 | 229 | 114 | 229 | 192 | 2230 | 0 | 0 | 1456 |
N.S. |
1 | 1.00 | 0.50 | 1.00 | 0.84 | 9.74 | 0.00 | 0.00 | 6.36 |
time (sec) |
N/A | 0.259 | 0.447 | 0.032 | 0.347 | 0.384 | 0.000 | 0.000 | 12.018 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 205 | 205 | 94 | 203 | 174 | 2216 | 0 | 0 | 1420 |
N.S. |
1 | 1.00 | 0.46 | 0.99 | 0.85 | 10.81 | 0.00 | 0.00 | 6.93 |
time (sec) |
N/A | 0.233 | 0.178 | 0.037 | 0.373 | 0.380 | 0.000 | 0.000 | 10.383 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 205 | 205 | 158 | 203 | 174 | 2244 | 0 | 0 | 1420 |
N.S. |
1 | 1.00 | 0.77 | 0.99 | 0.85 | 10.95 | 0.00 | 0.00 | 6.93 |
time (sec) |
N/A | 0.329 | 0.683 | 0.041 | 0.314 | 0.387 | 0.000 | 0.000 | 10.790 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 229 | 229 | 178 | 222 | 192 | 2275 | 0 | 0 | 1448 |
N.S. |
1 | 1.00 | 0.78 | 0.97 | 0.84 | 9.93 | 0.00 | 0.00 | 6.32 |
time (sec) |
N/A | 0.369 | 0.830 | 0.039 | 0.399 | 0.414 | 0.000 | 0.000 | 11.751 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 254 | 254 | 198 | 240 | 211 | 2290 | 0 | 0 | 1473 |
N.S. |
1 | 1.00 | 0.78 | 0.94 | 0.83 | 9.02 | 0.00 | 0.00 | 5.80 |
time (sec) |
N/A | 0.462 | 1.325 | 0.040 | 0.472 | 0.399 | 0.000 | 0.000 | 14.246 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 394 | 394 | 304 | 374 | 329 | 4337 | 0 | 0 | 3914 |
N.S. |
1 | 1.00 | 0.77 | 0.95 | 0.84 | 11.01 | 0.00 | 0.00 | 9.93 |
time (sec) |
N/A | 0.769 | 6.145 | 0.102 | 0.466 | 0.749 | 0.000 | 0.000 | 29.534 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 360 | 360 | 178 | 333 | 302 | 4326 | 0 | 0 | 3869 |
N.S. |
1 | 1.00 | 0.49 | 0.92 | 0.84 | 12.02 | 0.00 | 0.00 | 10.75 |
time (sec) |
N/A | 0.654 | 2.367 | 0.034 | 0.715 | 0.712 | 0.000 | 0.000 | 21.128 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 326 | 326 | 151 | 292 | 275 | 4283 | 0 | 0 | 3825 |
N.S. |
1 | 1.00 | 0.46 | 0.90 | 0.84 | 13.14 | 0.00 | 0.00 | 11.73 |
time (sec) |
N/A | 0.597 | 1.314 | 0.035 | 0.372 | 0.731 | 0.000 | 0.000 | 15.104 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 294 | 294 | 119 | 251 | 248 | 4271 | 0 | 0 | 3773 |
N.S. |
1 | 1.00 | 0.40 | 0.85 | 0.84 | 14.53 | 0.00 | 0.00 | 12.83 |
time (sec) |
N/A | 0.679 | 0.577 | 0.035 | 0.398 | 0.716 | 0.000 | 0.000 | 11.186 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 276 | 276 | 211 | 238 | 240 | 4280 | 0 | 0 | 3749 |
N.S. |
1 | 1.00 | 0.76 | 0.86 | 0.87 | 15.51 | 0.00 | 0.00 | 13.58 |
time (sec) |
N/A | 0.549 | 0.988 | 0.035 | 0.370 | 0.739 | 0.000 | 0.000 | 10.687 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 283 | 283 | 119 | 243 | 248 | 4313 | 0 | 0 | 3745 |
N.S. |
1 | 1.00 | 0.42 | 0.86 | 0.88 | 15.24 | 0.00 | 0.00 | 13.23 |
time (sec) |
N/A | 0.426 | 0.740 | 0.033 | 0.354 | 0.722 | 0.000 | 0.000 | 11.813 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 317 | 317 | 120 | 270 | 276 | 4325 | 0 | 0 | 3782 |
N.S. |
1 | 1.00 | 0.38 | 0.85 | 0.87 | 13.64 | 0.00 | 0.00 | 11.93 |
time (sec) |
N/A | 0.471 | 0.661 | 0.033 | 0.366 | 0.729 | 0.000 | 0.000 | 15.107 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 463 | 463 | 221 | 432 | 398 | 6209 | 0 | 0 | 6774 |
N.S. |
1 | 1.00 | 0.48 | 0.93 | 0.86 | 13.41 | 0.00 | 0.00 | 14.63 |
time (sec) |
N/A | 0.935 | 3.721 | 0.039 | 0.356 | 1.396 | 0.000 | 0.000 | 38.607 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 421 | 421 | 197 | 372 | 363 | 6157 | 0 | 0 | 6716 |
N.S. |
1 | 1.00 | 0.47 | 0.88 | 0.86 | 14.62 | 0.00 | 0.00 | 15.95 |
time (sec) |
N/A | 0.984 | 2.178 | 0.035 | 0.331 | 1.437 | 0.000 | 0.000 | 25.335 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 380 | 380 | 153 | 314 | 327 | 6136 | 0 | 0 | 6657 |
N.S. |
1 | 1.00 | 0.40 | 0.83 | 0.86 | 16.15 | 0.00 | 0.00 | 17.52 |
time (sec) |
N/A | 1.032 | 1.585 | 0.034 | 0.341 | 1.491 | 0.000 | 0.000 | 14.527 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 374 | 374 | 264 | 286 | 310 | 6137 | 0 | 0 | 7108 |
N.S. |
1 | 1.00 | 0.71 | 0.76 | 0.83 | 16.41 | 0.00 | 0.00 | 19.01 |
time (sec) |
N/A | 0.795 | 2.860 | 0.038 | 0.329 | 1.466 | 0.000 | 0.000 | 12.194 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 372 | 372 | 165 | 278 | 310 | 6162 | 0 | 0 | 7578 |
N.S. |
1 | 1.00 | 0.44 | 0.75 | 0.83 | 16.56 | 0.00 | 0.00 | 20.37 |
time (sec) |
N/A | 0.695 | 1.326 | 0.038 | 0.312 | 1.438 | 0.000 | 0.000 | 12.366 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 380 | 380 | 166 | 290 | 327 | 6162 | 0 | 0 | 7591 |
N.S. |
1 | 1.00 | 0.44 | 0.76 | 0.86 | 16.22 | 0.00 | 0.00 | 19.98 |
time (sec) |
N/A | 0.698 | 1.436 | 0.040 | 0.327 | 1.450 | 0.000 | 0.000 | 14.602 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 325 | 325 | 187 | 292 | 258 | 6160 | 0 | 0 | 16441 |
N.S. |
1 | 1.00 | 0.58 | 0.90 | 0.79 | 18.95 | 0.00 | 0.00 | 50.59 |
time (sec) |
N/A | 1.411 | 1.233 | 0.099 | 0.332 | 21.871 | 0.000 | 0.000 | 14.940 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 297 | 297 | 165 | 265 | 234 | 6092 | 0 | 0 | 15701 |
N.S. |
1 | 1.00 | 0.56 | 0.89 | 0.79 | 20.51 | 0.00 | 0.00 | 52.87 |
time (sec) |
N/A | 1.020 | 0.372 | 0.067 | 0.309 | 9.278 | 0.000 | 0.000 | 15.087 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 278 | 278 | 195 | 244 | 216 | 5992 | 0 | 0 | 15090 |
N.S. |
1 | 1.00 | 0.70 | 0.88 | 0.78 | 21.55 | 0.00 | 0.00 | 54.28 |
time (sec) |
N/A | 0.464 | 0.400 | 0.063 | 0.322 | 3.211 | 0.000 | 0.000 | 13.347 |