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 | F | A | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 176 | 93 | 72 | 169 | 0 | 136 | 0 | 0 | 0 |
N.S. |
1 | 0.53 | 0.41 | 0.96 | 0.00 | 0.77 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.532 | 0.101 | 0.549 | 0.000 | 0.244 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 184 | 93 | 85 | 164 | 0 | 134 | 0 | 0 | 0 |
N.S. |
1 | 0.51 | 0.46 | 0.89 | 0.00 | 0.73 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.528 | 0.070 | 0.553 | 0.000 | 0.259 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 137 | 78 | 62 | 164 | 0 | 134 | 0 | 0 | 0 |
N.S. |
1 | 0.57 | 0.45 | 1.20 | 0.00 | 0.98 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.480 | 0.074 | 0.544 | 0.000 | 0.246 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 184 | 93 | 83 | 169 | 0 | 136 | 0 | 0 | 0 |
N.S. |
1 | 0.51 | 0.45 | 0.92 | 0.00 | 0.74 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.462 | 0.033 | 0.560 | 0.000 | 0.246 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 271 | 96 | 88 | 196 | 0 | 145 | 0 | 0 | 0 |
N.S. |
1 | 0.35 | 0.32 | 0.72 | 0.00 | 0.54 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.516 | 0.117 | 0.534 | 0.000 | 0.265 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 307 | 108 | 99 | 225 | 0 | 174 | 0 | 0 | 0 |
N.S. |
1 | 0.35 | 0.32 | 0.73 | 0.00 | 0.57 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.540 | 0.112 | 0.537 | 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 | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 53 | 45 | 47 | 0 | 25 | 0 | 0 | 0 |
N.S. |
1 | 0.70 | 0.59 | 0.62 | 0.00 | 0.33 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.469 | 0.031 | 0.540 | 0.000 | 0.238 | 0.000 | 0.000 | 0.000 |
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 | 74 | 53 | 43 | 47 | 0 | 25 | 0 | 0 | 0 |
N.S. |
1 | 0.72 | 0.58 | 0.64 | 0.00 | 0.34 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.441 | 0.029 | 0.543 | 0.000 | 0.247 | 0.000 | 0.000 | 0.000 |
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 | 69 | 47 | 41 | 44 | 0 | 22 | 0 | 0 | 0 |
N.S. |
1 | 0.68 | 0.59 | 0.64 | 0.00 | 0.32 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.355 | 0.014 | 0.549 | 0.000 | 0.242 | 0.000 | 0.000 | 0.000 |
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 | 70 | 44 | 42 | 46 | 0 | 20 | 0 | 0 | 0 |
N.S. |
1 | 0.63 | 0.60 | 0.66 | 0.00 | 0.29 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.405 | 0.026 | 0.542 | 0.000 | 0.240 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 48 | 43 | 48 | 0 | 22 | 0 | 0 | 0 |
N.S. |
1 | 0.67 | 0.60 | 0.67 | 0.00 | 0.31 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.451 | 0.028 | 0.550 | 0.000 | 0.237 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 137 | 193 | 96 | 97 | 117 | 184 | 0 | 0 | 0 |
N.S. |
1 | 1.41 | 0.70 | 0.71 | 0.85 | 1.34 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.605 | 0.209 | 0.712 | 0.299 | 0.261 | 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 | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 112 | 161 | 88 | 89 | 93 | 168 | 0 | 84 | 0 |
N.S. |
1 | 1.44 | 0.79 | 0.79 | 0.83 | 1.50 | 0.00 | 0.75 | 0.00 |
time (sec) |
N/A | 0.575 | 0.161 | 0.685 | 0.296 | 0.268 | 0.000 | 0.298 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 84 | 121 | 79 | 79 | 70 | 150 | 0 | 73 | 0 |
N.S. |
1 | 1.44 | 0.94 | 0.94 | 0.83 | 1.79 | 0.00 | 0.87 | 0.00 |
time (sec) |
N/A | 0.464 | 0.135 | 0.672 | 0.304 | 0.265 | 0.000 | 0.284 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 87 | 95 | 100 | 69 | 47 | 134 | 0 | 62 | 0 |
N.S. |
1 | 1.09 | 1.15 | 0.79 | 0.54 | 1.54 | 0.00 | 0.71 | 0.00 |
time (sec) |
N/A | 0.361 | 0.049 | 0.652 | 0.297 | 0.271 | 0.000 | 0.287 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 75 | 84 | 97 | 121 | 86 | 191 | 0 | 95 | 0 |
N.S. |
1 | 1.12 | 1.29 | 1.61 | 1.15 | 2.55 | 0.00 | 1.27 | 0.00 |
time (sec) |
N/A | 0.512 | 0.155 | 0.657 | 0.305 | 0.275 | 0.000 | 0.289 | 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 | 82 | 91 | 104 | 102 | 0 | 210 | 0 | 134 | 0 |
N.S. |
1 | 1.11 | 1.27 | 1.24 | 0.00 | 2.56 | 0.00 | 1.63 | 0.00 |
time (sec) |
N/A | 0.521 | 0.150 | 0.691 | 0.000 | 0.261 | 0.000 | 0.294 | 0.000 |
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 | 78 | 88 | 76 | 79 | 0 | 149 | 0 | 200 | 0 |
N.S. |
1 | 1.13 | 0.97 | 1.01 | 0.00 | 1.91 | 0.00 | 2.56 | 0.00 |
time (sec) |
N/A | 0.512 | 0.186 | 0.710 | 0.000 | 0.273 | 0.000 | 0.283 | 0.000 |
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 | 101 | 115 | 82 | 87 | 0 | 165 | 0 | 250 | 0 |
N.S. |
1 | 1.14 | 0.81 | 0.86 | 0.00 | 1.63 | 0.00 | 2.48 | 0.00 |
time (sec) |
N/A | 0.536 | 0.176 | 0.722 | 0.000 | 0.270 | 0.000 | 0.282 | 0.000 |
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 | 130 | 150 | 95 | 95 | 0 | 181 | 0 | 324 | 0 |
N.S. |
1 | 1.15 | 0.73 | 0.73 | 0.00 | 1.39 | 0.00 | 2.49 | 0.00 |
time (sec) |
N/A | 0.573 | 0.199 | 0.750 | 0.000 | 0.269 | 0.000 | 0.276 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 227 | 87 | 86 | 92 | 0 | 58 | 0 | 0 | 0 |
N.S. |
1 | 0.38 | 0.38 | 0.41 | 0.00 | 0.26 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.497 | 0.075 | 0.550 | 0.000 | 0.243 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 186 | 75 | 74 | 83 | 0 | 49 | 0 | 0 | 0 |
N.S. |
1 | 0.40 | 0.40 | 0.45 | 0.00 | 0.26 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.492 | 0.051 | 0.546 | 0.000 | 0.246 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 151 | 69 | 65 | 76 | 0 | 42 | 0 | 0 | 0 |
N.S. |
1 | 0.46 | 0.43 | 0.50 | 0.00 | 0.28 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.455 | 0.045 | 0.537 | 0.000 | 0.254 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 112 | 59 | 58 | 67 | 0 | 33 | 0 | 0 | 0 |
N.S. |
1 | 0.53 | 0.52 | 0.60 | 0.00 | 0.29 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.387 | 0.019 | 0.540 | 0.000 | 0.240 | 0.000 | 0.000 | 0.000 |
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 | 112 | 50 | 50 | 61 | 0 | 26 | 0 | 0 | 0 |
N.S. |
1 | 0.45 | 0.45 | 0.54 | 0.00 | 0.23 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.401 | 0.032 | 0.546 | 0.000 | 0.253 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 114 | 56 | 54 | 64 | 0 | 33 | 0 | 0 | 0 |
N.S. |
1 | 0.49 | 0.47 | 0.56 | 0.00 | 0.29 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.472 | 0.040 | 0.546 | 0.000 | 0.263 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 152 | 68 | 63 | 77 | 0 | 88 | 0 | 0 | 0 |
N.S. |
1 | 0.45 | 0.41 | 0.51 | 0.00 | 0.58 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.470 | 0.053 | 0.542 | 0.000 | 0.261 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 193 | 78 | 75 | 85 | 0 | 98 | 0 | 0 | 0 |
N.S. |
1 | 0.40 | 0.39 | 0.44 | 0.00 | 0.51 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.484 | 0.069 | 0.544 | 0.000 | 0.250 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 227 | 83 | 79 | 93 | 0 | 104 | 0 | 0 | 0 |
N.S. |
1 | 0.37 | 0.35 | 0.41 | 0.00 | 0.46 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.490 | 0.056 | 0.545 | 0.000 | 0.246 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 136 | 86 | 74 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.63 | 0.54 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.502 | 0.060 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 172 | 173 | 129 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.75 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.569 | 0.299 | 0.000 | 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 | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 82 | 60 | 56 | 62 | 54 | 74 | 0 | 0 | 93 |
N.S. |
1 | 0.73 | 0.68 | 0.76 | 0.66 | 0.90 | 0.00 | 0.00 | 1.13 |
time (sec) |
N/A | 0.464 | 0.049 | 0.608 | 0.232 | 0.261 | 0.000 | 0.000 | 4.237 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 83 | 62 | 60 | 64 | 57 | 75 | 0 | 0 | 94 |
N.S. |
1 | 0.75 | 0.72 | 0.77 | 0.69 | 0.90 | 0.00 | 0.00 | 1.13 |
time (sec) |
N/A | 0.479 | 0.039 | 0.559 | 0.250 | 0.258 | 0.000 | 0.000 | 4.107 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 172 | 173 | 110 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.64 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.563 | 0.264 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 137 | 85 | 75 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.62 | 0.55 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.501 | 0.065 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | B | F | F | F | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 81 | 0 | 267 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 3.30 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 2.386 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | B | F | F | F | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 81 | 0 | 179 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 2.21 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.400 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | F | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 79 | 0 | 111 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.41 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.796 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 82 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.05 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.211 | 0.184 | 0.000 | 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 | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 18 | 30 | 27 | 49 | 0 | 39 |
N.S. |
1 | 1.00 | 1.00 | 1.00 | 1.67 | 1.50 | 2.72 | 0.00 | 2.17 |
time (sec) |
N/A | 0.217 | 0.179 | 1.076 | 0.213 | 0.253 | 0.509 | 0.000 | 4.059 |
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 | 72 | 72 | 55 | 55 | 0 | 79 | 0 | 0 | 106 |
N.S. |
1 | 1.00 | 0.76 | 0.76 | 0.00 | 1.10 | 0.00 | 0.00 | 1.47 |
time (sec) |
N/A | 0.354 | 0.325 | 4.000 | 0.000 | 0.249 | 0.000 | 0.000 | 4.223 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 127 | 124 | 97 | 101 | 0 | 174 | 0 | 0 | 192 |
N.S. |
1 | 0.98 | 0.76 | 0.80 | 0.00 | 1.37 | 0.00 | 0.00 | 1.51 |
time (sec) |
N/A | 0.518 | 0.411 | 17.351 | 0.000 | 0.259 | 0.000 | 0.000 | 4.726 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 197 | 176 | 152 | 167 | 0 | 309 | 0 | 0 | 314 |
N.S. |
1 | 0.89 | 0.77 | 0.85 | 0.00 | 1.57 | 0.00 | 0.00 | 1.59 |
time (sec) |
N/A | 0.698 | 0.523 | 59.376 | 0.000 | 0.261 | 0.000 | 0.000 | 4.832 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 116 | 116 | 280 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.41 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.455 | 2.930 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 116 | 116 | 101 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.87 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.419 | 0.848 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 111 | 111 | 81 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.73 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.445 | 0.323 | 0.000 | 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 | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 43 | 49 | 0 | 80 | 0 | 0 | 78 |
N.S. |
1 | 1.00 | 0.93 | 1.07 | 0.00 | 1.74 | 0.00 | 0.00 | 1.70 |
time (sec) |
N/A | 0.242 | 0.323 | 0.527 | 0.000 | 0.259 | 0.000 | 0.000 | 4.079 |
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 | 102 | 102 | 110 | 84 | 0 | 165 | 0 | 0 | 173 |
N.S. |
1 | 1.00 | 1.08 | 0.82 | 0.00 | 1.62 | 0.00 | 0.00 | 1.70 |
time (sec) |
N/A | 0.395 | 0.774 | 0.523 | 0.000 | 0.279 | 0.000 | 0.000 | 4.220 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 166 | 163 | 299 | 140 | 0 | 291 | 0 | 0 | 289 |
N.S. |
1 | 0.98 | 1.80 | 0.84 | 0.00 | 1.75 | 0.00 | 0.00 | 1.74 |
time (sec) |
N/A | 0.586 | 1.974 | 0.519 | 0.000 | 0.256 | 0.000 | 0.000 | 4.810 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 239 | 224 | 260 | 218 | 0 | 453 | 0 | 0 | 441 |
N.S. |
1 | 0.94 | 1.09 | 0.91 | 0.00 | 1.90 | 0.00 | 0.00 | 1.85 |
time (sec) |
N/A | 0.793 | 1.946 | 0.523 | 0.000 | 0.269 | 0.000 | 0.000 | 4.674 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 359 | 275 | 133 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.77 | 0.37 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.620 | 0.917 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 164 | 164 | 127 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.77 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.676 | 0.623 | 0.000 | 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 | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 43 | 49 | 0 | 82 | 0 | 0 | 81 |
N.S. |
1 | 1.00 | 0.93 | 1.07 | 0.00 | 1.78 | 0.00 | 0.00 | 1.76 |
time (sec) |
N/A | 0.278 | 0.369 | 0.536 | 0.000 | 0.255 | 0.000 | 0.000 | 4.129 |
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 | 46 | 46 | 43 | 49 | 0 | 80 | 0 | 0 | 78 |
N.S. |
1 | 1.00 | 0.93 | 1.07 | 0.00 | 1.74 | 0.00 | 0.00 | 1.70 |
time (sec) |
N/A | 0.241 | 0.036 | 0.533 | 0.000 | 0.251 | 0.000 | 0.000 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 277 | 224 | 127 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.81 | 0.46 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.623 | 1.323 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 463 | 362 | 201 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.78 | 0.43 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.778 | 2.448 | 0.000 | 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 | F | A | F | F(-2) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 330 | 239 | 110 | 93 | 0 | 175 | 0 | 0 | 175 |
N.S. |
1 | 0.72 | 0.33 | 0.28 | 0.00 | 0.53 | 0.00 | 0.00 | 0.53 |
time (sec) |
N/A | 0.615 | 0.959 | 0.543 | 0.000 | 0.273 | 0.000 | 0.000 | 4.217 |
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 | 102 | 108 | 109 | 96 | 0 | 180 | 0 | 0 | 175 |
N.S. |
1 | 1.06 | 1.07 | 0.94 | 0.00 | 1.76 | 0.00 | 0.00 | 1.72 |
time (sec) |
N/A | 0.471 | 0.959 | 0.585 | 0.000 | 0.269 | 0.000 | 0.000 | 4.717 |
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 | 97 | 103 | 108 | 86 | 0 | 171 | 0 | 0 | 176 |
N.S. |
1 | 1.06 | 1.11 | 0.89 | 0.00 | 1.76 | 0.00 | 0.00 | 1.81 |
time (sec) |
N/A | 0.428 | 0.756 | 0.548 | 0.000 | 0.271 | 0.000 | 0.000 | 4.226 |
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 | 102 | 102 | 110 | 84 | 0 | 165 | 0 | 0 | 173 |
N.S. |
1 | 1.00 | 1.08 | 0.82 | 0.00 | 1.62 | 0.00 | 0.00 | 1.70 |
time (sec) |
N/A | 0.377 | 0.173 | 0.539 | 0.000 | 0.262 | 0.000 | 0.000 | 0.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 944 | 624 | 220 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.66 | 0.23 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.966 | 2.220 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 127 | 127 | 83 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.65 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.414 | 0.206 | 0.000 | 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 | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 36 | 38 | 34 | 42 | 0 | 0 | 59 |
N.S. |
1 | 1.00 | 0.71 | 0.75 | 0.67 | 0.82 | 0.00 | 0.00 | 1.16 |
time (sec) |
N/A | 0.372 | 0.098 | 1.209 | 0.199 | 0.247 | 0.000 | 0.000 | 3.965 |
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 | 52 | 52 | 36 | 40 | 36 | 44 | 0 | 0 | 59 |
N.S. |
1 | 1.00 | 0.69 | 0.77 | 0.69 | 0.85 | 0.00 | 0.00 | 1.13 |
time (sec) |
N/A | 0.366 | 0.076 | 0.866 | 0.202 | 0.247 | 0.000 | 0.000 | 4.010 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 72 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.14 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.326 | 0.029 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 122 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.401 | 0.294 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 67 | 0 | 0 | 0 | 648 | 0 | 0 |
N.S. |
1 | 1.00 | 1.24 | 0.00 | 0.00 | 0.00 | 12.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.314 | 0.025 | 0.000 | 0.000 | 0.000 | 14.066 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 122 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.388 | 0.259 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 118 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.395 | 0.272 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 55 | 55 | 73 | 0 | 0 | 0 | 648 | 0 | 0 |
N.S. |
1 | 1.00 | 1.33 | 0.00 | 0.00 | 0.00 | 11.78 | 0.00 | 0.00 |
time (sec) |
N/A | 0.319 | 0.033 | 0.000 | 0.000 | 0.000 | 12.314 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 119 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.01 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.402 | 0.323 | 0.000 | 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 | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 342 | 336 | 120 | 188 | 380 | 201 | 0 | 461 | 332 |
N.S. |
1 | 0.98 | 0.35 | 0.55 | 1.11 | 0.59 | 0.00 | 1.35 | 0.97 |
time (sec) |
N/A | 0.507 | 0.324 | 0.109 | 0.288 | 0.268 | 0.000 | 0.302 | 0.224 |
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 | 268 | 262 | 104 | 172 | 302 | 179 | 0 | 355 | 258 |
N.S. |
1 | 0.98 | 0.39 | 0.64 | 1.13 | 0.67 | 0.00 | 1.32 | 0.96 |
time (sec) |
N/A | 0.450 | 0.264 | 0.095 | 0.282 | 0.267 | 0.000 | 0.313 | 4.215 |
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 | 194 | 188 | 94 | 156 | 223 | 157 | 0 | 249 | 183 |
N.S. |
1 | 0.97 | 0.48 | 0.80 | 1.15 | 0.81 | 0.00 | 1.28 | 0.94 |
time (sec) |
N/A | 0.381 | 0.177 | 0.085 | 0.282 | 0.280 | 0.000 | 0.295 | 4.647 |
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 | 107 | 113 | 53 | 127 | 117 | 104 | 0 | 130 | 84 |
N.S. |
1 | 1.06 | 0.50 | 1.19 | 1.09 | 0.97 | 0.00 | 1.21 | 0.79 |
time (sec) |
N/A | 0.314 | 0.152 | 0.079 | 0.280 | 0.271 | 0.000 | 0.292 | 0.075 |
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 | 104 | 101 | 56 | 144 | 116 | 93 | 0 | 0 | 62 |
N.S. |
1 | 0.97 | 0.54 | 1.38 | 1.12 | 0.89 | 0.00 | 0.00 | 0.60 |
time (sec) |
N/A | 0.300 | 0.137 | 0.192 | 0.197 | 0.252 | 0.000 | 0.000 | 0.081 |
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 | 180 | 170 | 83 | 218 | 160 | 134 | 0 | 0 | 128 |
N.S. |
1 | 0.94 | 0.46 | 1.21 | 0.89 | 0.74 | 0.00 | 0.00 | 0.71 |
time (sec) |
N/A | 0.361 | 0.340 | 0.224 | 0.189 | 0.251 | 0.000 | 0.000 | 0.071 |
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 | 254 | 232 | 99 | 292 | 194 | 178 | 0 | 0 | 171 |
N.S. |
1 | 0.91 | 0.39 | 1.15 | 0.76 | 0.70 | 0.00 | 0.00 | 0.67 |
time (sec) |
N/A | 0.413 | 0.408 | 0.243 | 0.196 | 0.252 | 0.000 | 0.000 | 0.096 |
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 | 328 | 307 | 115 | 366 | 230 | 274 | 0 | 0 | 210 |
N.S. |
1 | 0.94 | 0.35 | 1.12 | 0.70 | 0.84 | 0.00 | 0.00 | 0.64 |
time (sec) |
N/A | 0.473 | 0.515 | 0.256 | 0.212 | 0.259 | 0.000 | 0.000 | 0.069 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 127 | 99 | 127 | 88 | 114 | 122 | 124 | 115 | 89 |
N.S. |
1 | 0.78 | 1.00 | 0.69 | 0.90 | 0.96 | 0.98 | 0.91 | 0.70 |
time (sec) |
N/A | 0.487 | 0.049 | 0.848 | 0.198 | 0.238 | 0.371 | 0.259 | 0.111 |
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 | 90 | 73 | 90 | 64 | 81 | 89 | 88 | 82 | 65 |
N.S. |
1 | 0.81 | 1.00 | 0.71 | 0.90 | 0.99 | 0.98 | 0.91 | 0.72 |
time (sec) |
N/A | 0.455 | 0.038 | 0.784 | 0.205 | 0.240 | 0.238 | 0.277 | 3.968 |
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 | 76 | 60 | 76 | 55 | 70 | 78 | 76 | 71 | 56 |
N.S. |
1 | 0.79 | 1.00 | 0.72 | 0.92 | 1.03 | 1.00 | 0.93 | 0.74 |
time (sec) |
N/A | 0.448 | 0.033 | 0.710 | 0.197 | 0.254 | 0.172 | 0.276 | 4.013 |
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 | 39 | 35 | 39 | 31 | 35 | 43 | 39 | 36 | 32 |
N.S. |
1 | 0.90 | 1.00 | 0.79 | 0.90 | 1.10 | 1.00 | 0.92 | 0.82 |
time (sec) |
N/A | 0.412 | 0.024 | 0.641 | 0.194 | 0.267 | 0.092 | 0.273 | 0.057 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 21 | 22 | 21 | 26 | 20 | 22 | 23 |
N.S. |
1 | 1.00 | 1.00 | 1.05 | 1.00 | 1.24 | 0.95 | 1.05 | 1.10 |
time (sec) |
N/A | 0.359 | 0.019 | 0.573 | 0.204 | 0.245 | 0.051 | 0.282 | 0.047 |
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 | 36 | 37 | 28 | 36 | 35 | 40 | 36 | 36 | 33 |
N.S. |
1 | 1.03 | 0.78 | 1.00 | 0.97 | 1.11 | 1.00 | 1.00 | 0.92 |
time (sec) |
N/A | 0.427 | 0.038 | 0.531 | 0.198 | 0.241 | 0.073 | 0.281 | 0.057 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 75 | 72 | 75 | 60 | 69 | 93 | 73 | 57 | 68 |
N.S. |
1 | 0.96 | 1.00 | 0.80 | 0.92 | 1.24 | 0.97 | 0.76 | 0.91 |
time (sec) |
N/A | 0.458 | 0.056 | 0.563 | 0.211 | 0.244 | 0.202 | 0.266 | 0.099 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 110 | 99 | 82 | 84 | 97 | 137 | 102 | 80 | 94 |
N.S. |
1 | 0.90 | 0.75 | 0.76 | 0.88 | 1.25 | 0.93 | 0.73 | 0.85 |
time (sec) |
N/A | 0.495 | 0.084 | 0.546 | 0.207 | 0.254 | 0.333 | 0.284 | 4.189 |
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 | 145 | 130 | 98 | 108 | 145 | 233 | 156 | 96 | 142 |
N.S. |
1 | 0.90 | 0.68 | 0.74 | 1.00 | 1.61 | 1.08 | 0.66 | 0.98 |
time (sec) |
N/A | 0.532 | 0.120 | 0.539 | 0.201 | 0.260 | 0.469 | 0.279 | 4.214 |
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 | 343 | 336 | 126 | 180 | 380 | 201 | 0 | 461 | 332 |
N.S. |
1 | 0.98 | 0.37 | 0.52 | 1.11 | 0.59 | 0.00 | 1.34 | 0.97 |
time (sec) |
N/A | 0.493 | 0.291 | 0.104 | 0.295 | 0.258 | 0.000 | 0.311 | 4.318 |
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 | 269 | 263 | 110 | 173 | 302 | 179 | 0 | 355 | 258 |
N.S. |
1 | 0.98 | 0.41 | 0.64 | 1.12 | 0.67 | 0.00 | 1.32 | 0.96 |
time (sec) |
N/A | 0.455 | 0.236 | 0.093 | 0.297 | 0.263 | 0.000 | 0.301 | 4.371 |
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 | 195 | 187 | 94 | 157 | 223 | 156 | 0 | 248 | 183 |
N.S. |
1 | 0.96 | 0.48 | 0.81 | 1.14 | 0.80 | 0.00 | 1.27 | 0.94 |
time (sec) |
N/A | 0.386 | 0.198 | 0.081 | 0.289 | 0.255 | 0.000 | 0.297 | 0.215 |
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 | 76 | 79 | 57 | 129 | 118 | 106 | 0 | 130 | 84 |
N.S. |
1 | 1.04 | 0.75 | 1.70 | 1.55 | 1.39 | 0.00 | 1.71 | 1.11 |
time (sec) |
N/A | 0.286 | 0.159 | 0.142 | 0.286 | 0.267 | 0.000 | 0.300 | 0.138 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F(-2) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 144 | 140 | 69 | 185 | 133 | 128 | 0 | 0 | 100 |
N.S. |
1 | 0.97 | 0.48 | 1.28 | 0.92 | 0.89 | 0.00 | 0.00 | 0.69 |
time (sec) |
N/A | 0.322 | 0.162 | 0.149 | 0.199 | 0.251 | 0.000 | 0.000 | 0.203 |
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 | 181 | 173 | 78 | 225 | 153 | 170 | 0 | 63 | 121 |
N.S. |
1 | 0.96 | 0.43 | 1.24 | 0.85 | 0.94 | 0.00 | 0.35 | 0.67 |
time (sec) |
N/A | 0.344 | 0.361 | 0.214 | 0.210 | 0.288 | 0.000 | 0.314 | 0.157 |
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 | 255 | 244 | 101 | 299 | 192 | 204 | 0 | 0 | 160 |
N.S. |
1 | 0.96 | 0.40 | 1.17 | 0.75 | 0.80 | 0.00 | 0.00 | 0.63 |
time (sec) |
N/A | 0.415 | 0.435 | 0.227 | 0.204 | 0.254 | 0.000 | 0.000 | 4.164 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 329 | 313 | 117 | 373 | 226 | 248 | 0 | 0 | 203 |
N.S. |
1 | 0.95 | 0.36 | 1.13 | 0.69 | 0.75 | 0.00 | 0.00 | 0.62 |
time (sec) |
N/A | 0.479 | 0.529 | 0.247 | 0.197 | 0.258 | 0.000 | 0.000 | 0.115 |
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 | 116 | 93 | 116 | 80 | 103 | 111 | 112 | 184 | 81 |
N.S. |
1 | 0.80 | 1.00 | 0.69 | 0.89 | 0.96 | 0.97 | 1.59 | 0.70 |
time (sec) |
N/A | 0.469 | 0.047 | 0.940 | 0.209 | 0.237 | 0.341 | 0.280 | 0.090 |
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 | 100 | 78 | 100 | 71 | 92 | 100 | 100 | 160 | 72 |
N.S. |
1 | 0.78 | 1.00 | 0.71 | 0.92 | 1.00 | 1.00 | 1.60 | 0.72 |
time (sec) |
N/A | 0.461 | 0.038 | 0.837 | 0.198 | 0.234 | 0.257 | 0.275 | 4.241 |
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 | 63 | 53 | 63 | 47 | 59 | 67 | 65 | 136 | 48 |
N.S. |
1 | 0.84 | 1.00 | 0.75 | 0.94 | 1.06 | 1.03 | 2.16 | 0.76 |
time (sec) |
N/A | 0.427 | 0.030 | 0.730 | 0.201 | 0.254 | 0.157 | 0.269 | 0.119 |
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 | 51 | 41 | 51 | 40 | 46 | 56 | 53 | 112 | 43 |
N.S. |
1 | 0.80 | 1.00 | 0.78 | 0.90 | 1.10 | 1.04 | 2.20 | 0.84 |
time (sec) |
N/A | 0.418 | 0.024 | 0.697 | 0.199 | 0.234 | 0.105 | 0.263 | 0.126 |