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 | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 260 | 259 | 216 | 310 | 0 | 189 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.83 | 1.19 | 0.00 | 0.73 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.358 | 2.044 | 4.509 | 0.000 | 0.094 | 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 | 194 | 203 | 86 | 158 | 0 | 130 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.44 | 0.81 | 0.00 | 0.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.280 | 0.743 | 2.390 | 0.000 | 0.086 | 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 | 87 | 87 | 86 | 100 | 0 | 42 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.99 | 1.15 | 0.00 | 0.48 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.180 | 0.562 | 3.013 | 0.000 | 0.077 | 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 | 273 | 258 | 112 | 248 | 0 | 187 | 0 | 0 | 0 |
N.S. |
1 | 0.95 | 0.41 | 0.91 | 0.00 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.348 | 1.821 | 4.389 | 0.000 | 0.093 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 255 | 269 | 261 | 445 | 0 | 441 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 1.02 | 1.75 | 0.00 | 1.73 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.332 | 2.957 | 5.629 | 0.000 | 0.097 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 334 | 365 | 301 | 573 | 0 | 845 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 0.90 | 1.72 | 0.00 | 2.53 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.460 | 3.284 | 6.832 | 0.000 | 0.107 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 445 | 418 | 318 | 701 | 0 | 472 | 0 | 0 | 0 |
N.S. |
1 | 0.94 | 0.71 | 1.58 | 0.00 | 1.06 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.576 | 5.175 | 9.533 | 0.000 | 0.103 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 346 | 330 | 256 | 509 | 0 | 338 | 0 | 0 | 0 |
N.S. |
1 | 0.95 | 0.74 | 1.47 | 0.00 | 0.98 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.446 | 4.375 | 9.223 | 0.000 | 0.089 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 258 | 259 | 196 | 345 | 0 | 224 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.76 | 1.34 | 0.00 | 0.87 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.358 | 3.733 | 3.345 | 0.000 | 0.102 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 84 | 84 | 136 | 188 | 0 | 133 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.62 | 2.24 | 0.00 | 1.58 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.178 | 1.801 | 2.379 | 0.000 | 0.093 | 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 | 194 | 261 | 112 | 144 | 0 | 159 | 0 | 0 | 0 |
N.S. |
1 | 1.35 | 0.58 | 0.74 | 0.00 | 0.82 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.339 | 1.762 | 4.378 | 0.000 | 0.089 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 242 | 254 | 224 | 354 | 0 | 407 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.93 | 1.46 | 0.00 | 1.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.308 | 4.107 | 4.518 | 0.000 | 0.094 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 323 | 344 | 337 | 561 | 0 | 856 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 1.04 | 1.74 | 0.00 | 2.65 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.433 | 5.399 | 6.708 | 0.000 | 0.126 | 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 | 87 | 87 | 86 | 100 | 0 | 42 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.99 | 1.15 | 0.00 | 0.48 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.183 | 0.028 | 2.943 | 0.000 | 0.078 | 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 | 87 | 87 | 87 | 103 | 0 | 40 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.18 | 0.00 | 0.46 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.215 | 0.612 | 3.574 | 0.000 | 0.082 | 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 | 87 | 87 | 89 | 103 | 0 | 40 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.02 | 1.18 | 0.00 | 0.46 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.207 | 0.634 | 3.596 | 0.000 | 0.087 | 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 | 88 | 88 | 88 | 104 | 0 | 39 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.18 | 0.00 | 0.44 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.207 | 0.636 | 4.310 | 0.000 | 0.088 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 12 | 14 | 0 | 9 | 19 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.17 | 0.00 | 0.75 | 1.58 | 0.00 | 0.00 |
time (sec) |
N/A | 0.135 | 0.212 | 3.595 | 0.000 | 0.078 | 1.670 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 58 | 14 | 0 | 9 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 5.80 | 1.40 | 0.00 | 0.90 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.135 | 10.024 | 2.912 | 0.000 | 0.089 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 12 | 14 | 0 | 9 | 19 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.17 | 0.00 | 0.75 | 1.58 | 0.00 | 0.00 |
time (sec) |
N/A | 0.136 | 0.197 | 3.356 | 0.000 | 0.080 | 1.649 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 10 | 10 | 0 | 9 | 73 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.00 | 0.00 | 0.90 | 7.30 | 0.00 | 0.00 |
time (sec) |
N/A | 0.148 | 10.019 | 2.467 | 0.000 | 0.079 | 11.024 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 18 | 14 | 0 | 9 | 19 | 0 | 0 |
N.S. |
1 | 1.00 | 1.50 | 1.17 | 0.00 | 0.75 | 1.58 | 0.00 | 0.00 |
time (sec) |
N/A | 0.137 | 10.024 | 2.811 | 0.000 | 0.084 | 1.287 | 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 | 12 | 12 | 12 | 13 | 0 | 9 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.08 | 0.00 | 0.75 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.136 | 0.188 | 2.494 | 0.000 | 0.075 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F | B | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 8 | 8 | 26 | 8 | 0 | 68 | 19 | 0 | 0 |
N.S. |
1 | 1.00 | 3.25 | 1.00 | 0.00 | 8.50 | 2.38 | 0.00 | 0.00 |
time (sec) |
N/A | 0.139 | 0.006 | 2.467 | 0.000 | 0.264 | 0.946 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 12 | 13 | 0 | 9 | 34 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.08 | 0.00 | 0.75 | 2.83 | 0.00 | 0.00 |
time (sec) |
N/A | 0.137 | 0.191 | 2.528 | 0.000 | 0.080 | 1.430 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 10 | 11 | 0 | 9 | 39 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.10 | 0.00 | 0.90 | 3.90 | 0.00 | 0.00 |
time (sec) |
N/A | 0.137 | 0.060 | 2.623 | 0.000 | 0.078 | 1.882 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 12 | 13 | 0 | 9 | 34 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.08 | 0.00 | 0.75 | 2.83 | 0.00 | 0.00 |
time (sec) |
N/A | 0.136 | 0.195 | 2.619 | 0.000 | 0.073 | 1.450 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 19 | 17 | 0 | 11 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.37 | 0.33 | 0.00 | 0.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.156 | 0.200 | 2.474 | 0.000 | 0.075 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 17 | 15 | 0 | 11 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.35 | 0.31 | 0.00 | 0.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.155 | 0.070 | 2.506 | 0.000 | 0.089 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 19 | 17 | 0 | 11 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.37 | 0.33 | 0.00 | 0.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.157 | 0.187 | 2.589 | 0.000 | 0.079 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 8 | 8 | 8 | 8 | 0 | 34 | 8 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.00 | 0.00 | 4.25 | 1.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.138 | 0.005 | 2.482 | 0.000 | 0.264 | 0.971 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 19 | 15 | 0 | 11 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.40 | 0.32 | 0.00 | 0.23 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.156 | 0.183 | 2.514 | 0.000 | 0.094 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 19 | 14 | 0 | 9 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.90 | 1.40 | 0.00 | 0.90 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.136 | 10.023 | 2.682 | 0.000 | 0.075 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 10 | 10 | 0 | 9 | 76 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.00 | 0.00 | 0.90 | 7.60 | 0.00 | 0.00 |
time (sec) |
N/A | 0.139 | 0.005 | 2.504 | 0.000 | 0.077 | 11.057 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 20 | 19 | 0 | 17 | 36 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.95 | 0.00 | 0.85 | 1.80 | 0.00 | 0.00 |
time (sec) |
N/A | 0.138 | 0.188 | 3.147 | 0.000 | 0.087 | 1.594 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 15 | 0 | 10 | 41 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 0.00 | 0.62 | 2.56 | 0.00 | 0.00 |
time (sec) |
N/A | 0.136 | 0.054 | 2.707 | 0.000 | 0.073 | 2.055 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 20 | 19 | 0 | 17 | 36 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.95 | 0.00 | 0.85 | 1.80 | 0.00 | 0.00 |
time (sec) |
N/A | 0.142 | 0.185 | 3.285 | 0.000 | 0.077 | 1.605 | 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 | 32 | 32 | 32 | 37 | 0 | 9 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.16 | 0.00 | 0.28 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.150 | 0.190 | 2.711 | 0.000 | 0.083 | 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 | 30 | 30 | 30 | 34 | 0 | 9 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.13 | 0.00 | 0.30 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.150 | 0.068 | 2.514 | 0.000 | 0.081 | 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 | 32 | 32 | 32 | 37 | 0 | 9 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.16 | 0.00 | 0.28 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.151 | 0.201 | 2.605 | 0.000 | 0.072 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 46 | 30 | 0 | 9 | 75 | 0 | 0 |
N.S. |
1 | 1.00 | 1.84 | 1.20 | 0.00 | 0.36 | 3.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.140 | 0.060 | 2.528 | 0.000 | 0.080 | 10.873 | 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 | 32 | 32 | 32 | 34 | 0 | 9 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.06 | 0.00 | 0.28 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.151 | 0.180 | 2.595 | 0.000 | 0.074 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 47 | 28 | 0 | 9 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 3.92 | 2.33 | 0.00 | 0.75 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.132 | 10.025 | 2.748 | 0.000 | 0.080 | 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 | 29 | 29 | 27 | 24 | 0 | 34 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.93 | 0.83 | 0.00 | 1.17 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.142 | 0.033 | 2.582 | 0.000 | 0.274 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 40 | 29 | 0 | 9 | 37 | 0 | 0 |
N.S. |
1 | 1.00 | 1.25 | 0.91 | 0.00 | 0.28 | 1.16 | 0.00 | 0.00 |
time (sec) |
N/A | 0.147 | 0.190 | 3.289 | 0.000 | 0.074 | 1.684 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 36 | 27 | 0 | 9 | 42 | 0 | 0 |
N.S. |
1 | 1.00 | 1.20 | 0.90 | 0.00 | 0.30 | 1.40 | 0.00 | 0.00 |
time (sec) |
N/A | 0.154 | 0.071 | 2.891 | 0.000 | 0.081 | 2.173 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 40 | 29 | 0 | 9 | 37 | 0 | 0 |
N.S. |
1 | 1.00 | 1.25 | 0.91 | 0.00 | 0.28 | 1.16 | 0.00 | 0.00 |
time (sec) |
N/A | 0.150 | 0.184 | 3.231 | 0.000 | 0.075 | 1.639 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 39 | 36 | 0 | 11 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.74 | 0.68 | 0.00 | 0.21 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.153 | 0.202 | 2.877 | 0.000 | 0.079 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 37 | 33 | 0 | 11 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.73 | 0.65 | 0.00 | 0.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.159 | 0.070 | 2.565 | 0.000 | 0.082 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 39 | 36 | 0 | 11 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.74 | 0.68 | 0.00 | 0.21 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.156 | 0.189 | 2.932 | 0.000 | 0.077 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 29 | 26 | 9 | 0 | 104 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.93 | 0.32 | 0.00 | 3.71 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.151 | 0.036 | 2.494 | 0.000 | 0.264 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 53 | 33 | 0 | 17 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.08 | 0.67 | 0.00 | 0.35 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.156 | 1.024 | 2.462 | 0.000 | 0.087 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 39 | 34 | 0 | 17 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.26 | 1.10 | 0.00 | 0.55 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.160 | 0.199 | 2.451 | 0.000 | 0.077 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 42 | 30 | 48 | 30 | 0 | 9 | 73 | 0 | 0 |
N.S. |
1 | 0.71 | 1.14 | 0.71 | 0.00 | 0.21 | 1.74 | 0.00 | 0.00 |
time (sec) |
N/A | 0.154 | 0.059 | 2.427 | 0.000 | 0.071 | 11.064 | 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 | 40 | 40 | 40 | 34 | 0 | 23 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.85 | 0.00 | 0.58 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.158 | 0.196 | 2.489 | 0.000 | 0.083 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 36 | 34 | 0 | 16 | 44 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 0.00 | 0.44 | 1.22 | 0.00 | 0.00 |
time (sec) |
N/A | 0.157 | 0.079 | 2.471 | 0.000 | 0.073 | 1.981 | 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 | 40 | 40 | 40 | 34 | 0 | 23 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.85 | 0.00 | 0.58 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.153 | 0.211 | 2.467 | 0.000 | 0.071 | 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 | 87 | 87 | 87 | 104 | 0 | 130 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.20 | 0.00 | 1.49 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.203 | 0.738 | 2.441 | 0.000 | 0.087 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 90 | 168 | 0 | 131 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.87 | 0.00 | 1.46 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.201 | 0.758 | 2.476 | 0.000 | 0.084 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 88 | 167 | 0 | 128 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.90 | 0.00 | 1.45 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.200 | 0.549 | 2.546 | 0.000 | 0.085 | 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 | 91 | 91 | 91 | 108 | 0 | 133 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.19 | 0.00 | 1.46 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.210 | 0.540 | 2.558 | 0.000 | 0.094 | 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 | 88 | 88 | 88 | 105 | 0 | 113 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.19 | 0.00 | 1.28 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.204 | 0.789 | 2.473 | 0.000 | 0.084 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 89 | 161 | 0 | 116 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.81 | 0.00 | 1.30 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.200 | 0.770 | 2.492 | 0.000 | 0.085 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 89 | 162 | 0 | 115 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.82 | 0.00 | 1.29 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.192 | 0.536 | 2.558 | 0.000 | 0.087 | 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 | 90 | 90 | 90 | 107 | 0 | 114 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.19 | 0.00 | 1.27 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.196 | 0.511 | 2.555 | 0.000 | 0.084 | 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 | 194 | 203 | 86 | 158 | 0 | 130 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.44 | 0.81 | 0.00 | 0.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.273 | 0.028 | 2.444 | 0.000 | 0.087 | 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 | 203 | 213 | 89 | 104 | 0 | 135 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.44 | 0.51 | 0.00 | 0.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.293 | 0.789 | 2.469 | 0.000 | 0.085 | 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 | 203 | 212 | 89 | 108 | 0 | 134 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.44 | 0.53 | 0.00 | 0.66 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.292 | 0.770 | 2.472 | 0.000 | 0.084 | 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 | 212 | 222 | 92 | 165 | 0 | 135 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.43 | 0.78 | 0.00 | 0.64 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.308 | 0.586 | 2.571 | 0.000 | 0.085 | 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 | 189 | 189 | 89 | 161 | 0 | 115 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.47 | 0.85 | 0.00 | 0.61 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.318 | 0.785 | 2.546 | 0.000 | 0.080 | 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 | 191 | 191 | 90 | 107 | 0 | 114 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.47 | 0.56 | 0.00 | 0.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.316 | 0.735 | 2.483 | 0.000 | 0.091 | 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 | 194 | 194 | 92 | 109 | 0 | 117 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.47 | 0.56 | 0.00 | 0.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.323 | 0.581 | 2.573 | 0.000 | 0.085 | 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 | 198 | 198 | 93 | 166 | 0 | 120 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.47 | 0.84 | 0.00 | 0.61 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.322 | 0.585 | 2.563 | 0.000 | 0.086 | 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 | 87 | 87 | 87 | 104 | 0 | 130 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.20 | 0.00 | 1.49 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.201 | 0.772 | 2.474 | 0.000 | 0.083 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 90 | 168 | 0 | 131 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.87 | 0.00 | 1.46 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.199 | 0.798 | 2.425 | 0.000 | 0.091 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 88 | 167 | 0 | 128 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.90 | 0.00 | 1.45 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.196 | 0.629 | 2.480 | 0.000 | 0.083 | 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 | 91 | 91 | 91 | 108 | 0 | 133 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.19 | 0.00 | 1.46 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.200 | 0.599 | 2.413 | 0.000 | 0.084 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 88 | 160 | 0 | 127 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.82 | 0.00 | 1.44 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.203 | 0.859 | 2.436 | 0.000 | 0.084 | 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 | 89 | 89 | 89 | 106 | 0 | 130 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.19 | 0.00 | 1.46 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.200 | 0.817 | 2.457 | 0.000 | 0.089 | 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 | 89 | 89 | 89 | 106 | 0 | 129 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.19 | 0.00 | 1.45 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.190 | 0.709 | 2.424 | 0.000 | 0.088 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 90 | 163 | 0 | 128 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.81 | 0.00 | 1.42 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.194 | 0.752 | 2.433 | 0.000 | 0.085 | 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 | 204 | 206 | 86 | 101 | 0 | 114 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.42 | 0.50 | 0.00 | 0.56 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.275 | 0.025 | 2.390 | 0.000 | 0.090 | 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 | 214 | 217 | 89 | 161 | 0 | 119 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.42 | 0.75 | 0.00 | 0.56 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.296 | 0.833 | 2.424 | 0.000 | 0.080 | 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 | 214 | 216 | 89 | 162 | 0 | 118 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.42 | 0.76 | 0.00 | 0.55 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.297 | 0.831 | 2.417 | 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 | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 222 | 225 | 92 | 111 | 0 | 119 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.41 | 0.50 | 0.00 | 0.54 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.301 | 0.762 | 2.492 | 0.000 | 0.093 | 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 | 189 | 189 | 89 | 161 | 0 | 115 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.47 | 0.85 | 0.00 | 0.61 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.311 | 0.851 | 2.428 | 0.000 | 0.086 | 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 | 191 | 191 | 90 | 107 | 0 | 114 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.47 | 0.56 | 0.00 | 0.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.308 | 0.795 | 2.447 | 0.000 | 0.080 | 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 | 194 | 194 | 92 | 109 | 0 | 117 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.47 | 0.56 | 0.00 | 0.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.316 | 0.730 | 2.448 | 0.000 | 0.088 | 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 | 198 | 198 | 93 | 166 | 0 | 120 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.47 | 0.84 | 0.00 | 0.61 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.319 | 0.588 | 2.454 | 0.000 | 0.085 | 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 | 78 | 78 | 37 | 38 | 0 | 35 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.47 | 0.49 | 0.00 | 0.45 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.163 | 0.500 | 2.442 | 0.000 | 0.085 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 40 | 38 | 0 | 15 | 20 | 0 | 0 |
N.S. |
1 | 1.00 | 1.03 | 0.97 | 0.00 | 0.38 | 0.51 | 0.00 | 0.00 |
time (sec) |
N/A | 0.162 | 0.503 | 3.719 | 0.000 | 0.085 | 1.322 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 47 | 53 | 0 | 16 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.77 | 0.87 | 0.00 | 0.26 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.161 | 0.461 | 2.422 | 0.000 | 0.085 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 6 | 6 | 27 | 25 | 0 | 6 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 4.50 | 4.17 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.130 | 0.226 | 2.483 | 0.000 | 0.075 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 24 | 28 | 0 | 73 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.04 | 1.22 | 0.00 | 3.17 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.182 | 0.467 | 2.468 | 0.000 | 0.084 | 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 | 182 | 191 | 37 | 37 | 0 | 124 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.20 | 0.20 | 0.00 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.272 | 0.008 | 2.430 | 0.000 | 0.081 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 35 | 37 | 0 | 72 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.84 | 1.95 | 0.00 | 3.79 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.134 | 0.331 | 2.501 | 0.000 | 0.089 | 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(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 95 | 809 | 0 | 318 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 8.52 | 0.00 | 3.35 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.240 | 2.238 | 2.888 | 0.000 | 0.137 | 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(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 94 | 95 | 1388 | 0 | 410 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.01 | 14.77 | 0.00 | 4.36 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.215 | 2.275 | 2.725 | 0.000 | 0.102 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 478 | 540 | 102 | 1388 | 0 | 415 | 0 | 0 | 0 |
N.S. |
1 | 1.13 | 0.21 | 2.90 | 0.00 | 0.87 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.682 | 2.276 | 2.689 | 0.000 | 0.107 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 215 | 215 | 102 | 872 | 0 | 287 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.47 | 4.06 | 0.00 | 1.33 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.388 | 2.105 | 2.632 | 0.000 | 0.128 | 0.000 | 0.000 | 0.000 |