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 | A | B | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 275 | 275 | 146 | 161 | 712 | 144 | 0 | 0 | 348 |
N.S. |
1 | 1.00 | 0.53 | 0.59 | 2.59 | 0.52 | 0.00 | 0.00 | 1.27 |
time (sec) |
N/A | 0.456 | 0.851 | 0.528 | 0.601 | 0.358 | 0.000 | 0.000 | 5.142 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 228 | 228 | 124 | 139 | 619 | 126 | 0 | 0 | 316 |
N.S. |
1 | 1.00 | 0.54 | 0.61 | 2.71 | 0.55 | 0.00 | 0.00 | 1.39 |
time (sec) |
N/A | 0.404 | 0.765 | 0.393 | 0.578 | 0.373 | 0.000 | 0.000 | 4.915 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 181 | 181 | 102 | 117 | 527 | 107 | 0 | 0 | 259 |
N.S. |
1 | 1.00 | 0.56 | 0.65 | 2.91 | 0.59 | 0.00 | 0.00 | 1.43 |
time (sec) |
N/A | 0.349 | 0.615 | 0.382 | 0.550 | 0.370 | 0.000 | 0.000 | 4.804 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 134 | 134 | 80 | 95 | 436 | 88 | 0 | 0 | 197 |
N.S. |
1 | 1.00 | 0.60 | 0.71 | 3.25 | 0.66 | 0.00 | 0.00 | 1.47 |
time (sec) |
N/A | 0.299 | 0.366 | 0.363 | 0.594 | 0.354 | 0.000 | 0.000 | 2.444 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 145 | 145 | 106 | 287 | 1462 | 130 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.73 | 1.98 | 10.08 | 0.90 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.284 | 0.435 | 0.419 | 0.691 | 0.399 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 146 | 146 | 107 | 308 | 1801 | 119 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.73 | 2.11 | 12.34 | 0.82 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.294 | 0.355 | 0.421 | 0.748 | 0.401 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-2) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 153 | 153 | 121 | 233 | 1884 | 133 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.79 | 1.52 | 12.31 | 0.87 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.293 | 0.485 | 0.411 | 0.733 | 0.403 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 200 | 200 | 141 | 309 | 3023 | 153 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.70 | 1.54 | 15.12 | 0.76 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.346 | 0.548 | 0.446 | 0.820 | 0.401 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 247 | 247 | 158 | 381 | 8901 | 171 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.64 | 1.54 | 36.04 | 0.69 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.404 | 0.815 | 0.373 | 1.128 | 0.449 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 322 | 322 | 171 | 185 | 763 | 176 | 0 | 0 | 789 |
N.S. |
1 | 1.00 | 0.53 | 0.57 | 2.37 | 0.55 | 0.00 | 0.00 | 2.45 |
time (sec) |
N/A | 0.601 | 0.968 | 0.569 | 0.617 | 0.402 | 0.000 | 0.000 | 6.192 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 275 | 275 | 147 | 163 | 672 | 156 | 0 | 0 | 751 |
N.S. |
1 | 1.00 | 0.53 | 0.59 | 2.44 | 0.57 | 0.00 | 0.00 | 2.73 |
time (sec) |
N/A | 0.542 | 1.350 | 0.420 | 0.567 | 0.393 | 0.000 | 0.000 | 5.810 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 228 | 228 | 126 | 141 | 579 | 135 | 0 | 0 | 617 |
N.S. |
1 | 1.00 | 0.55 | 0.62 | 2.54 | 0.59 | 0.00 | 0.00 | 2.71 |
time (sec) |
N/A | 0.476 | 0.990 | 0.396 | 0.576 | 0.381 | 0.000 | 0.000 | 5.725 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 181 | 181 | 104 | 119 | 488 | 114 | 0 | 0 | 579 |
N.S. |
1 | 1.00 | 0.57 | 0.66 | 2.70 | 0.63 | 0.00 | 0.00 | 3.20 |
time (sec) |
N/A | 0.425 | 0.740 | 0.380 | 0.557 | 0.368 | 0.000 | 0.000 | 4.995 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 192 | 192 | 130 | 389 | 1713 | 162 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.68 | 2.03 | 8.92 | 0.84 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.396 | 0.888 | 0.430 | 0.676 | 0.398 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 193 | 193 | 130 | 492 | 2780 | 166 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.67 | 2.55 | 14.40 | 0.86 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.428 | 0.780 | 0.447 | 0.752 | 0.466 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-1) | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 198 | 198 | 126 | 344 | 0 | 147 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.64 | 1.74 | 0.00 | 0.74 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.425 | 0.838 | 0.459 | 0.000 | 0.400 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 200 | 200 | 141 | 305 | 3071 | 163 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.70 | 1.52 | 15.36 | 0.82 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.417 | 1.044 | 0.439 | 0.865 | 0.448 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 247 | 247 | 159 | 383 | 9390 | 183 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.64 | 1.55 | 38.02 | 0.74 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.469 | 1.021 | 0.392 | 1.106 | 0.439 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 294 | 294 | 181 | 455 | 10042 | 203 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.62 | 1.55 | 34.16 | 0.69 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.540 | 1.499 | 0.381 | 1.147 | 0.444 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-2) | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 295 | 295 | 272 | 793 | 0 | 198 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.92 | 2.69 | 0.00 | 0.67 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.665 | 9.599 | 0.398 | 0.000 | 0.430 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-2) | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 250 | 250 | 250 | 657 | 0 | 181 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.00 | 2.63 | 0.00 | 0.72 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.535 | 6.980 | 0.498 | 0.000 | 0.425 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-2) | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 207 | 207 | 1718 | 521 | 0 | 164 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 8.30 | 2.52 | 0.00 | 0.79 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.408 | 8.013 | 0.462 | 0.000 | 0.390 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-2) | A | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 162 | 162 | 617 | 384 | 0 | 143 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 3.81 | 2.37 | 0.00 | 0.88 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.285 | 6.842 | 0.441 | 0.000 | 0.381 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-2) | A | F(-2) | F(-1) | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 119 | 119 | 203 | 231 | 0 | 110 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.71 | 1.94 | 0.00 | 0.92 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.194 | 1.682 | 0.411 | 0.000 | 0.420 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 102 | 153 | 0 | 96 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.73 | 1.09 | 0.00 | 0.69 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.217 | 0.241 | 0.401 | 0.000 | 1.128 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-2) | A | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 181 | 181 | 467 | 232 | 0 | 168 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.58 | 1.28 | 0.00 | 0.93 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.325 | 1.476 | 0.423 | 0.000 | 1.412 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | A | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 230 | 230 | 412 | 301 | 0 | 194 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.79 | 1.31 | 0.00 | 0.84 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.438 | 1.555 | 0.459 | 0.000 | 2.362 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 192 | 192 | 143 | 317 | 0 | 208 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.74 | 1.65 | 0.00 | 1.08 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.415 | 0.491 | 0.511 | 0.000 | 14.318 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 317 | 317 | 262 | 731 | 0 | 237 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.83 | 2.31 | 0.00 | 0.75 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.709 | 3.116 | 0.517 | 0.000 | 0.401 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 270 | 270 | 236 | 595 | 0 | 220 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.87 | 2.20 | 0.00 | 0.81 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.561 | 2.819 | 0.466 | 0.000 | 0.393 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 223 | 223 | 215 | 457 | 0 | 197 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.96 | 2.05 | 0.00 | 0.88 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.436 | 2.463 | 0.444 | 0.000 | 0.379 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | A | F(-2) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 176 | 176 | 191 | 311 | 0 | 163 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.09 | 1.77 | 0.00 | 0.93 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.322 | 2.007 | 0.413 | 0.000 | 0.394 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | A | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 127 | 127 | 196 | 235 | 0 | 144 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.54 | 1.85 | 0.00 | 1.13 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.209 | 1.669 | 0.391 | 0.000 | 0.373 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | A | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 185 | 185 | 326 | 288 | 0 | 203 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.76 | 1.56 | 0.00 | 1.10 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.340 | 3.433 | 0.414 | 0.000 | 3.120 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | A | F(-2) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 237 | 237 | 836 | 370 | 0 | 246 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 3.53 | 1.56 | 0.00 | 1.04 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.475 | 6.683 | 0.420 | 0.000 | 4.106 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 317 | 317 | 261 | 729 | 0 | 266 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.82 | 2.30 | 0.00 | 0.84 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.710 | 6.853 | 0.494 | 0.000 | 0.432 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 270 | 270 | 243 | 585 | 0 | 246 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.90 | 2.17 | 0.00 | 0.91 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.584 | 3.095 | 0.477 | 0.000 | 0.420 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | A | F(-2) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 223 | 223 | 219 | 457 | 0 | 210 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.98 | 2.05 | 0.00 | 0.94 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.452 | 2.203 | 0.430 | 0.000 | 0.419 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | A | F(-2) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 176 | 176 | 216 | 375 | 0 | 207 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.23 | 2.13 | 0.00 | 1.18 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.330 | 1.813 | 0.403 | 0.000 | 0.407 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | A | F(-2) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 174 | 174 | 213 | 375 | 0 | 205 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.22 | 2.16 | 0.00 | 1.18 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.325 | 1.858 | 0.410 | 0.000 | 0.402 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 234 | 234 | 347 | 476 | 0 | 277 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.48 | 2.03 | 0.00 | 1.18 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.460 | 3.580 | 0.411 | 0.000 | 6.504 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 286 | 286 | 929 | 609 | 0 | 313 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 3.25 | 2.13 | 0.00 | 1.09 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.617 | 7.025 | 0.454 | 0.000 | 8.447 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 317 | 317 | 267 | 729 | 0 | 295 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.84 | 2.30 | 0.00 | 0.93 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.724 | 5.027 | 0.510 | 0.000 | 0.448 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 270 | 270 | 242 | 595 | 0 | 260 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.90 | 2.20 | 0.00 | 0.96 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.591 | 3.195 | 0.460 | 0.000 | 0.404 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 223 | 223 | 228 | 512 | 0 | 257 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.02 | 2.30 | 0.00 | 1.15 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.460 | 3.187 | 0.421 | 0.000 | 0.428 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 221 | 221 | 233 | 512 | 0 | 255 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.05 | 2.32 | 0.00 | 1.15 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.456 | 3.024 | 0.425 | 0.000 | 0.448 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 221 | 221 | 488 | 512 | 0 | 257 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.21 | 2.32 | 0.00 | 1.16 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.458 | 7.089 | 0.416 | 0.000 | 0.418 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 281 | 281 | 365 | 667 | 0 | 338 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.30 | 2.37 | 0.00 | 1.20 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.584 | 6.172 | 0.436 | 0.000 | 8.512 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 333 | 333 | 1017 | 855 | 0 | 379 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 3.05 | 2.57 | 0.00 | 1.14 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.768 | 7.374 | 0.487 | 0.000 | 14.490 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 180 | 180 | 132 | 636 | 0 | 235 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.73 | 3.53 | 0.00 | 1.31 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.149 | 2.023 | 0.885 | 0.000 | 0.127 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 143 | 143 | 104 | 401 | 0 | 205 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.73 | 2.80 | 0.00 | 1.43 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.131 | 0.924 | 0.641 | 0.000 | 0.113 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 111 | 111 | 85 | 246 | 0 | 153 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.77 | 2.22 | 0.00 | 1.38 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.121 | 0.299 | 0.389 | 0.000 | 0.104 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 90 | 326 | 0 | 156 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.78 | 2.83 | 0.00 | 1.36 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.125 | 0.268 | 0.368 | 0.000 | 0.112 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 148 | 148 | 108 | 371 | 0 | 184 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.73 | 2.51 | 0.00 | 1.24 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.138 | 0.606 | 0.373 | 0.000 | 0.125 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 180 | 180 | 125 | 413 | 0 | 203 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.69 | 2.29 | 0.00 | 1.13 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.158 | 1.079 | 0.348 | 0.000 | 0.134 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 221 | 221 | 171 | 723 | 0 | 286 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.77 | 3.27 | 0.00 | 1.29 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.247 | 2.627 | 0.987 | 0.000 | 0.121 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 177 | 177 | 125 | 650 | 0 | 247 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.71 | 3.67 | 0.00 | 1.40 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.222 | 1.240 | 0.675 | 0.000 | 0.114 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 161 | 161 | 124 | 405 | 0 | 208 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.77 | 2.52 | 0.00 | 1.29 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.208 | 0.820 | 0.463 | 0.000 | 0.132 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 171 | 171 | 128 | 487 | 0 | 226 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.75 | 2.85 | 0.00 | 1.32 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.210 | 0.999 | 0.389 | 0.000 | 0.116 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 213 | 213 | 161 | 548 | 0 | 254 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.76 | 2.57 | 0.00 | 1.19 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.234 | 1.468 | 0.433 | 0.000 | 0.148 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 295 | 295 | 225 | 917 | 0 | 364 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.76 | 3.11 | 0.00 | 1.23 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.381 | 3.905 | 1.326 | 0.000 | 0.146 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 244 | 244 | 192 | 970 | 0 | 326 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.79 | 3.98 | 0.00 | 1.34 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.366 | 1.726 | 1.003 | 0.000 | 0.135 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 239 | 239 | 166 | 1210 | 0 | 298 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.69 | 5.06 | 0.00 | 1.25 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.355 | 2.068 | 0.817 | 0.000 | 0.146 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 237 | 237 | 172 | 641 | 0 | 270 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.73 | 2.70 | 0.00 | 1.14 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.347 | 1.544 | 0.499 | 0.000 | 0.152 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 245 | 245 | 180 | 664 | 0 | 295 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.73 | 2.71 | 0.00 | 1.20 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.345 | 1.404 | 0.443 | 0.000 | 0.149 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 295 | 295 | 219 | 745 | 0 | 332 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.74 | 2.53 | 0.00 | 1.13 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.375 | 1.981 | 0.428 | 0.000 | 0.169 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F(-1) | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 210 | 210 | 225 | 441 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.07 | 2.10 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.510 | 33.680 | 0.797 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F(-1) | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 126 | 126 | 125 | 300 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.99 | 2.38 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.279 | 31.371 | 0.465 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 76 | 217 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.75 | 2.15 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.170 | 20.606 | 0.342 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 149 | 149 | 220 | 295 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.48 | 1.98 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.221 | 36.910 | 0.367 | 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 | F(-1) | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 197 | 197 | 542 | 822 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.75 | 4.17 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.349 | 36.817 | 0.455 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-1) | F(-1) | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 405 | 405 | 735 | 1004 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.81 | 2.48 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.827 | 37.165 | 1.683 | 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(-1) | F(-1) | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 316 | 316 | 681 | 856 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.16 | 2.71 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.597 | 36.983 | 0.914 | 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 | F(-1) | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 260 | 260 | 639 | 721 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.46 | 2.77 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.388 | 36.894 | 0.724 | 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 | F(-1) | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 258 | 258 | 626 | 808 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.43 | 3.13 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.378 | 36.872 | 0.754 | 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 | F(-1) | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 284 | 284 | 655 | 849 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.31 | 2.99 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.419 | 36.892 | 0.893 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F(-1) | F(-2) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 363 | 363 | 701 | 1066 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.93 | 2.94 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.604 | 37.106 | 1.034 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-1) | F(-1) | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 480 | 480 | 844 | 1975 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.76 | 4.11 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.920 | 37.360 | 1.839 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-1) | F(-1) | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 405 | 405 | 797 | 1744 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.97 | 4.31 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.666 | 37.079 | 1.507 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F(-1) | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 402 | 402 | 784 | 1850 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.95 | 4.60 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.669 | 37.031 | 1.520 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F(-1) | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 400 | 400 | 786 | 1937 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.96 | 4.84 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.624 | 37.027 | 1.552 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F(-1) | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 427 | 427 | 820 | 1977 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.92 | 4.63 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.674 | 37.157 | 1.661 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F(-1) | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 521 | 521 | 865 | 2195 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.66 | 4.21 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.965 | 37.386 | 1.906 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 47 | 214 | 0 | 91 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.73 | 3.34 | 0.00 | 1.42 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.025 | 0.082 | 0.290 | 0.000 | 0.136 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 46 | 183 | 0 | 76 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.77 | 3.05 | 0.00 | 1.27 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.024 | 0.056 | 0.297 | 0.000 | 0.104 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 37 | 134 | 0 | 53 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 3.62 | 0.00 | 1.43 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.016 | 0.037 | 0.286 | 0.000 | 0.095 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 37 | 134 | 0 | 59 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 3.62 | 0.00 | 1.59 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.016 | 0.043 | 0.238 | 0.000 | 0.106 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 50 | 180 | 0 | 71 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.78 | 2.81 | 0.00 | 1.11 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.025 | 0.054 | 0.300 | 0.000 | 0.112 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 56 | 203 | 0 | 77 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.88 | 3.17 | 0.00 | 1.20 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.025 | 0.086 | 0.340 | 0.000 | 0.114 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F | F | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 473 | 473 | 3321 | 3436 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 7.02 | 7.26 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.898 | 24.034 | 2.176 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 390 | 390 | 423 | 2487 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.08 | 6.38 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.610 | 17.670 | 0.554 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 324 | 324 | 346 | 1735 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.07 | 5.35 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.403 | 14.691 | 0.417 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F | F(-2) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 411 | 411 | 635 | 1361 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.55 | 3.31 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.422 | 17.246 | 0.462 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 445 | 445 | 787 | 1369 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.77 | 3.08 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.551 | 17.291 | 0.587 | 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 | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 533 | 533 | 1121 | 2054 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.10 | 3.85 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.792 | 18.065 | 0.506 | 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 | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 620 | 620 | 1533 | 2956 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.47 | 4.77 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.071 | 14.611 | 0.532 | 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 | F | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 562 | 562 | 3739 | 4399 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 6.65 | 7.83 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.302 | 25.756 | 0.769 | 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 | F | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 473 | 473 | 3318 | 3421 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 7.01 | 7.23 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.930 | 24.136 | 0.583 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 393 | 393 | 427 | 2674 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.09 | 6.80 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.690 | 18.123 | 0.480 | 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 | F(-1) | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 479 | 479 | 5981 | 2329 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 12.49 | 4.86 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.670 | 24.447 | 0.422 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |