Detailed conclusion table per each integral is given by 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 just an F.
In this table,the column N.S. in the table below, which stands for normalized size is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To help make the table fit, Mathematica was abbreviated to MMA.
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 131 | 131 | 122 | 0 | 0 | 96 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.93 | 0.00 | 0.00 | 0.73 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.065 | 0.030 | 0.034 | 0.000 | 0.097 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A | 0.013 | 5.271 | 0.053 | 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 | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A | 0.023 | 0.526 | 0.024 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 75 | 455 | 0 | 54 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 6.07 | 0.00 | 0.72 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.053 | 0.014 | 0.086 | 0.000 | 0.104 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 79 | 354 | 0 | 54 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 4.48 | 0.00 | 0.68 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.051 | 0.012 | 0.075 | 0.000 | 0.107 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 75 | 291 | 0 | 54 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 3.88 | 0.00 | 0.72 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.049 | 0.011 | 0.080 | 0.000 | 0.094 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 79 | 379 | 0 | 50 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 4.80 | 0.00 | 0.63 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.046 | 0.010 | 0.082 | 0.000 | 0.099 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 62 | 427 | 0 | 50 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.95 | 6.57 | 0.00 | 0.77 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.048 | 0.016 | 0.081 | 0.000 | 0.110 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 75 | 530 | 0 | 54 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 7.07 | 0.00 | 0.72 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.049 | 0.012 | 0.083 | 0.000 | 0.116 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 75 | 600 | 0 | 54 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 8.00 | 0.00 | 0.72 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.050 | 0.012 | 0.089 | 0.000 | 0.092 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 99 | 99 | 92 | 0 | 0 | 77 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.93 | 0.00 | 0.00 | 0.78 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.107 | 0.072 | 0.061 | 0.000 | 0.132 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 96 | 0 | 0 | 77 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.93 | 0.00 | 0.00 | 0.75 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.097 | 0.071 | 0.057 | 0.000 | 0.115 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 97 | 97 | 90 | 0 | 0 | 77 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.93 | 0.00 | 0.00 | 0.79 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.093 | 0.067 | 0.078 | 0.000 | 0.111 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 90 | 0 | 0 | 69 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.87 | 0.00 | 0.00 | 0.67 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.087 | 0.078 | 0.063 | 0.000 | 0.102 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 77 | 0 | 0 | 64 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.91 | 0.00 | 0.00 | 0.75 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.084 | 0.040 | 0.076 | 0.000 | 0.100 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 91 | 0 | 0 | 77 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.90 | 0.00 | 0.00 | 0.76 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.092 | 0.071 | 0.061 | 0.000 | 0.115 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 95 | 0 | 0 | 77 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.81 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.094 | 0.063 | 0.062 | 0.000 | 0.108 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 122 | 476 | 492 | 170 | 264 | 156 | 189 |
N.S. | 1 | 1.00 | 1.37 | 5.35 | 5.53 | 1.91 | 2.97 | 1.75 | 2.12 |
time (sec) |
N/A | 0.077 | 0.310 | 0.112 | 0.339 | 0.401 | 0.251 | 0.416 | 0.258 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 80 | 236 | 256 | 104 | 151 | 94 | 112 |
N.S. | 1 | 1.00 | 1.19 | 3.52 | 3.82 | 1.55 | 2.25 | 1.40 | 1.67 |
time (sec) |
N/A | 0.054 | 0.226 | 0.077 | 0.318 | 0.402 | 0.143 | 0.454 | 0.287 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 52 | 89 | 101 | 53 | 68 | 46 | 52 |
N.S. | 1 | 1.00 | 1.18 | 2.02 | 2.30 | 1.20 | 1.55 | 1.05 | 1.18 |
time (sec) |
N/A | 0.027 | 0.139 | 0.054 | 0.305 | 0.382 | 0.101 | 0.420 | 0.092 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | C | A | F | C | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 55 | 102 | 182 | 95 | 0 | 692 | -1 |
N.S. | 1 | 1.00 | 0.85 | 1.57 | 2.80 | 1.46 | 0.00 | 10.65 | -0.02 |
time (sec) |
N/A | 0.103 | 0.080 | 0.082 | 0.374 | 0.386 | 0.000 | 0.419 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | C | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 78 | 143 | 208 | 137 | 0 | 578 | -1 |
N.S. | 1 | 1.00 | 0.88 | 1.61 | 2.34 | 1.54 | 0.00 | 6.49 | -0.01 |
time (sec) |
N/A | 0.114 | 0.219 | 0.118 | 0.415 | 0.396 | 0.000 | 0.434 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 237 | 237 | 217 | 1129 | 1021 | 373 | 779 | 339 | 452 |
N.S. | 1 | 1.00 | 0.92 | 4.76 | 4.31 | 1.57 | 3.29 | 1.43 | 1.91 |
time (sec) |
N/A | 0.172 | 0.882 | 0.197 | 0.347 | 0.387 | 0.436 | 0.466 | 0.912 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 168 | 168 | 193 | 564 | 535 | 216 | 456 | 207 | 255 |
N.S. | 1 | 1.00 | 1.15 | 3.36 | 3.18 | 1.29 | 2.71 | 1.23 | 1.52 |
time (sec) |
N/A | 0.124 | 0.407 | 0.128 | 0.317 | 0.403 | 0.297 | 0.390 | 0.592 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 80 | 218 | 216 | 102 | 219 | 107 | 117 |
N.S. | 1 | 1.00 | 0.68 | 1.85 | 1.83 | 0.86 | 1.86 | 0.91 | 0.99 |
time (sec) |
N/A | 0.064 | 0.305 | 0.089 | 0.284 | 0.391 | 0.150 | 0.451 | 0.203 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | C | A | F | C | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 145 | 145 | 114 | 197 | 361 | 191 | 0 | 6933 | -1 |
N.S. | 1 | 1.00 | 0.79 | 1.36 | 2.49 | 1.32 | 0.00 | 47.81 | -0.01 |
time (sec) |
N/A | 0.231 | 0.133 | 0.105 | 0.371 | 0.386 | 0.000 | 0.576 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | C | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 159 | 159 | 206 | 276 | 396 | 289 | 0 | 1133 | -1 |
N.S. | 1 | 1.00 | 1.30 | 1.74 | 2.49 | 1.82 | 0.00 | 7.13 | -0.01 |
time (sec) |
N/A | 0.206 | 0.330 | 0.153 | 0.409 | 0.424 | 0.000 | 0.610 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 134 | 134 | 151 | 364 | 1006 | 442 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.13 | 2.72 | 7.51 | 3.30 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.180 | 0.220 | 0.142 | 0.397 | 0.387 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 125 | 197 | 300 | 240 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.24 | 1.95 | 2.97 | 2.38 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.129 | 0.225 | 0.094 | 0.408 | 0.388 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 70 | 60 | 176 | 62 | 70 | 234 | 65 |
N.S. | 1 | 1.00 | 1.43 | 1.22 | 3.59 | 1.27 | 1.43 | 4.78 | 1.33 |
time (sec) |
N/A | 0.044 | 0.057 | 0.078 | 0.333 | 0.383 | 0.313 | 0.474 | 0.661 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.038 | 1.755 | 0.049 | 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 | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.035 | 1.749 | 0.049 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 271 | 271 | 250 | 678 | 3441 | 800 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.92 | 2.50 | 12.70 | 2.95 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.240 | 0.687 | 0.493 | 0.920 | 0.407 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 212 | 212 | 212 | 358 | 812 | 411 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.00 | 1.69 | 3.83 | 1.94 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.171 | 0.717 | 0.403 | 0.592 | 0.409 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 123 | 123 | 113 | 109 | 834 | 126 | 146 | 757 | 175 |
N.S. | 1 | 1.00 | 0.92 | 0.89 | 6.78 | 1.02 | 1.19 | 6.15 | 1.42 |
time (sec) |
N/A | 0.063 | 0.289 | 0.217 | 0.315 | 0.381 | 0.483 | 0.606 | 4.287 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.036 | 7.646 | 0.124 | 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 | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.034 | 8.039 | 0.127 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 133 | 133 | 198 | 468 | 1042 | 493 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.49 | 3.52 | 7.83 | 3.71 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.184 | 0.771 | 0.143 | 0.388 | 0.411 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | B | B | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 292 | 247 | 330 | 307 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.86 | 2.42 | 3.24 | 3.01 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.135 | 3.598 | 0.107 | 0.371 | 0.419 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | B | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 50 | 50 | 57 | 72 | 176 | 63 | 90 | 229 | 65 |
N.S. | 1 | 1.00 | 1.14 | 1.44 | 3.52 | 1.26 | 1.80 | 4.58 | 1.30 |
time (sec) |
N/A | 0.043 | 0.148 | 0.088 | 0.281 | 0.400 | 0.393 | 0.504 | 0.522 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.042 | 1.506 | 0.050 | 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 | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.039 | 1.499 | 0.049 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | B | F(-2) | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 110 | 110 | 53 | 132 | 206 | 0 | 0 | 98 | 83 |
N.S. |
1 | 1.00 | 0.48 | 1.20 | 1.87 | 0.00 | 0.00 | 0.89 | 0.75 |
time (sec) |
N/A | 0.092 | 0.148 | 0.080 | 0.594 | 0.000 | 0.000 | 0.432 | 0.546 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | F(-2) | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 44 | 105 | 122 | 0 | 0 | 77 | 63 |
N.S. |
1 | 1.00 | 0.50 | 1.19 | 1.39 | 0.00 | 0.00 | 0.88 | 0.72 |
time (sec) |
N/A | 0.074 | 0.109 | 0.057 | 0.546 | 0.000 | 0.000 | 0.448 | 0.431 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | F(-2) | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 34 | 80 | 61 | 0 | 0 | 57 | 46 |
N.S. |
1 | 1.00 | 0.64 | 1.51 | 1.15 | 0.00 | 0.00 | 1.08 | 0.87 |
time (sec) |
N/A | 0.039 | 0.080 | 0.053 | 0.541 | 0.000 | 0.000 | 0.490 | 0.205 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 29 | 43 | 20 | 32 | 0 | 30 | 33 |
N.S. | 1 | 1.00 | 1.12 | 1.65 | 0.77 | 1.23 | 0.00 | 1.15 | 1.27 |
time (sec) |
N/A | 0.009 | 0.024 | 0.073 | 0.553 | 0.354 | 0.000 | 0.433 | 0.332 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | C | F(-2) | F | C | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 84 | 84 | 55 | 0 | 61 | 0 | 0 | 166 | -1 |
N.S. |
1 | 1.00 | 0.65 | 0.00 | 0.73 | 0.00 | 0.00 | 1.98 | -0.01 |
time (sec) |
N/A | 0.081 | 0.058 | 0.040 | 0.552 | 0.000 | 0.000 | 0.458 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | C | F(-2) | F | C | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 110 | 110 | 75 | 0 | 193 | 0 | 0 | 560 | -1 |
N.S. |
1 | 1.00 | 0.68 | 0.00 | 1.75 | 0.00 | 0.00 | 5.09 | -0.01 |
time (sec) |
N/A | 0.091 | 0.101 | 0.027 | 0.554 | 0.000 | 0.000 | 0.539 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | C | F(-2) | F | C | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 151 | 151 | 98 | 0 | 227 | 0 | 0 | 662 | -1 |
N.S. |
1 | 1.00 | 0.65 | 0.00 | 1.50 | 0.00 | 0.00 | 4.38 | -0.01 |
time (sec) |
N/A | 0.108 | 0.171 | 0.029 | 0.544 | 0.000 | 0.000 | 0.537 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | F(-2) | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 68 | 68 | 33 | 87 | 48 | 0 | 0 | 55 | 91 |
N.S. |
1 | 1.00 | 0.49 | 1.28 | 0.71 | 0.00 | 0.00 | 0.81 | 1.34 |
time (sec) |
N/A | 0.073 | 0.039 | 0.072 | 0.505 | 0.000 | 0.000 | 0.397 | 0.426 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | F(-2) | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 29 | 70 | 36 | 0 | 0 | 43 | 70 |
N.S. |
1 | 1.00 | 0.55 | 1.32 | 0.68 | 0.00 | 0.00 | 0.81 | 1.32 |
time (sec) |
N/A | 0.061 | 0.033 | 0.058 | 0.517 | 0.000 | 0.000 | 0.426 | 0.340 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | F(-2) | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 22 | 55 | 24 | 0 | 0 | 31 | 50 |
N.S. |
1 | 1.00 | 0.69 | 1.72 | 0.75 | 0.00 | 0.00 | 0.97 | 1.56 |
time (sec) |
N/A | 0.034 | 0.016 | 0.057 | 0.514 | 0.000 | 0.000 | 0.425 | 0.307 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 18 | 25 | 12 | 18 | 0 | 17 | 34 |
N.S. | 1 | 1.00 | 1.20 | 1.67 | 0.80 | 1.20 | 0.00 | 1.13 | 2.27 |
time (sec) |
N/A | 0.008 | 0.008 | 0.073 | 0.529 | 0.347 | 0.000 | 0.443 | 0.288 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | C | F(-2) | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 23 | 0 | 17 | 0 | 0 | 16 | -1 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.74 | 0.00 | 0.00 | 0.70 | -0.04 |
time (sec) |
N/A | 0.058 | 0.006 | 0.037 | 0.545 | 0.000 | 0.000 | 0.434 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | C | F(-2) | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 33 | 0 | 23 | 0 | 0 | 34 | -1 |
N.S. |
1 | 1.00 | 0.79 | 0.00 | 0.55 | 0.00 | 0.00 | 0.81 | -0.02 |
time (sec) |
N/A | 0.061 | 0.040 | 0.033 | 0.522 | 0.000 | 0.000 | 0.435 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | C | F(-2) | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 44 | 0 | 19 | 0 | 0 | 48 | -1 |
N.S. |
1 | 1.00 | 0.66 | 0.00 | 0.28 | 0.00 | 0.00 | 0.72 | -0.01 |
time (sec) |
N/A | 0.073 | 0.053 | 0.033 | 0.544 | 0.000 | 0.000 | 0.448 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | B | F(-2) | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 34 | 86 | 129 | 0 | 0 | 55 | 92 |
N.S. |
1 | 1.00 | 0.47 | 1.19 | 1.79 | 0.00 | 0.00 | 0.76 | 1.28 |
time (sec) |
N/A | 0.078 | 0.037 | 0.060 | 0.528 | 0.000 | 0.000 | 0.417 | 0.434 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | B | F(-2) | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 56 | 56 | 30 | 69 | 100 | 0 | 0 | 51 | 71 |
N.S. |
1 | 1.00 | 0.54 | 1.23 | 1.79 | 0.00 | 0.00 | 0.91 | 1.27 |
time (sec) |
N/A | 0.066 | 0.031 | 0.052 | 0.523 | 0.000 | 0.000 | 0.443 | 0.343 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | B | F(-2) | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 23 | 54 | 72 | 0 | 0 | 31 | 48 |
N.S. |
1 | 1.00 | 0.68 | 1.59 | 2.12 | 0.00 | 0.00 | 0.91 | 1.41 |
time (sec) |
N/A | 0.036 | 0.018 | 0.049 | 0.503 | 0.000 | 0.000 | 0.458 | 0.316 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 19 | 25 | 23 | 19 | 0 | 26 | 34 |
N.S. | 1 | 1.00 | 1.19 | 1.56 | 1.44 | 1.19 | 0.00 | 1.62 | 2.12 |
time (sec) |
N/A | 0.008 | 0.007 | 0.077 | 0.506 | 0.366 | 0.000 | 0.420 | 0.292 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-2) | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 24 | 0 | 0 | 0 | 0 | 16 | -1 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.67 | -0.04 |
time (sec) |
N/A | 0.061 | 0.016 | 0.030 | 0.000 | 0.000 | 0.000 | 0.427 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-2) | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 34 | 0 | 0 | 0 | 0 | 34 | -1 |
N.S. |
1 | 1.00 | 0.77 | 0.00 | 0.00 | 0.00 | 0.00 | 0.77 | -0.02 |
time (sec) |
N/A | 0.068 | 0.019 | 0.025 | 0.000 | 0.000 | 0.000 | 0.601 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-2) | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 70 | 70 | 45 | 0 | 0 | 0 | 0 | 48 | -1 |
N.S. |
1 | 1.00 | 0.64 | 0.00 | 0.00 | 0.00 | 0.00 | 0.69 | -0.01 |
time (sec) |
N/A | 0.078 | 0.040 | 0.025 | 0.000 | 0.000 | 0.000 | 0.479 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | F(-2) | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 185 | 185 | 67 | 0 | 98 | 0 | 0 | 113 | -1 |
N.S. |
1 | 1.00 | 0.36 | 0.00 | 0.53 | 0.00 | 0.00 | 0.61 | -0.01 |
time (sec) |
N/A | 0.130 | 0.199 | 0.033 | 0.501 | 0.000 | 0.000 | 0.427 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | F(-2) | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 145 | 145 | 54 | 0 | 72 | 0 | 0 | 85 | -1 |
N.S. |
1 | 1.00 | 0.37 | 0.00 | 0.50 | 0.00 | 0.00 | 0.59 | -0.01 |
time (sec) |
N/A | 0.100 | 0.154 | 0.032 | 0.505 | 0.000 | 0.000 | 0.416 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | F(-2) | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 45 | 0 | 48 | 0 | 0 | 59 | -1 |
N.S. |
1 | 1.00 | 0.51 | 0.00 | 0.54 | 0.00 | 0.00 | 0.66 | -0.01 |
time (sec) |
N/A | 0.053 | 0.049 | 0.033 | 0.519 | 0.000 | 0.000 | 0.437 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | C | F(-2) | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 55 | 55 | 36 | 0 | 29 | 0 | 0 | 32 | -1 |
N.S. |
1 | 1.00 | 0.65 | 0.00 | 0.53 | 0.00 | 0.00 | 0.58 | -0.02 |
time (sec) |
N/A | 0.090 | 0.014 | 0.033 | 0.542 | 0.000 | 0.000 | 0.440 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | C | F(-2) | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 53 | 0 | 37 | 0 | 0 | 62 | -1 |
N.S. |
1 | 1.00 | 0.67 | 0.00 | 0.47 | 0.00 | 0.00 | 0.78 | -0.01 |
time (sec) |
N/A | 0.088 | 0.059 | 0.032 | 0.595 | 0.000 | 0.000 | 0.478 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | C | F(-2) | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 109 | 109 | 66 | 0 | 33 | 0 | 0 | 92 | -1 |
N.S. |
1 | 1.00 | 0.61 | 0.00 | 0.30 | 0.00 | 0.00 | 0.84 | -0.01 |
time (sec) |
N/A | 0.119 | 0.041 | 0.032 | 0.532 | 0.000 | 0.000 | 0.431 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 374 | 374 | 199 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.53 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.150 | 0.086 | 0.030 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 262 | 262 | 146 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.56 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.120 | 0.050 | 0.031 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 156 | 156 | 89 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.57 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.059 | 0.032 | 0.030 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | B | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 40 | 54 | 90 | 126 | 0 | 93 | 45 |
N.S. | 1 | 1.00 | 0.87 | 1.17 | 1.96 | 2.74 | 0.00 | 2.02 | 0.98 |
time (sec) |
N/A | 0.017 | 0.012 | 0.114 | 0.547 | 0.382 | 0.000 | 0.464 | 0.332 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A | 0.047 | 0.589 | 0.031 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 235 | 235 | 170 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.72 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.121 | 0.071 | 0.029 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 163 | 163 | 117 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.72 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.100 | 0.036 | 0.030 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 97 | 97 | 83 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.052 | 0.025 | 0.030 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 36 | 25 | 81 | 87 | 0 | 20 | -1 |
N.S. | 1 | 1.00 | 0.97 | 0.68 | 2.19 | 2.35 | 0.00 | 0.54 | -0.03 |
time (sec) |
N/A | 0.015 | 0.013 | 0.076 | 0.564 | 0.376 | 0.000 | 0.458 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A | 0.051 | 2.031 | 0.030 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 423 | 423 | 257 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.61 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.182 | 0.290 | 0.033 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 257 | 257 | 185 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.72 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.124 | 0.081 | 0.033 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 150 | 150 | 165 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.10 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.071 | 0.125 | 0.031 | 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 | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A | 0.052 | 6.787 | 0.033 | 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 | F(-2) | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A | 0.040 | 0.984 | 0.026 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 383 | 383 | 290 | 0 | 0 | 1030 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.76 | 0.00 | 0.00 | 2.69 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.370 | 0.557 | 0.027 | 0.000 | 0.481 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 329 | 329 | 379 | 0 | 0 | 1263 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.15 | 0.00 | 0.00 | 3.84 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.449 | 0.462 | 0.043 | 0.000 | 0.532 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F(-2) | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 214 | 214 | 756 | 414 | 0 | 915 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 3.53 | 1.93 | 0.00 | 4.28 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.263 | 0.564 | 0.067 | 0.000 | 0.503 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.07 |
time (sec) |
N/A | 0.032 | 0.516 | 0.023 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F(-2) | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 296 | 296 | 933 | 674 | 0 | 1491 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 3.15 | 2.28 | 0.00 | 5.04 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.354 | 8.418 | 0.904 | 0.000 | 0.574 | 0.000 | 0.000 | 0.000 |