Detailed conclusion table per each integral is given by the table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given as F.
In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 89 | 65 | 0 | 232 | 0 | 253 | 0 |
N.S. |
1 | 1.00 | 1.10 | 0.80 | 0.00 | 2.86 | 0.00 | 3.12 | 0.00 |
time (sec) |
N/A | 0.216 | 1.127 | 2.439 | 0.000 | 0.268 | 0.000 | 0.443 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 200 | 200 | 193 | 233 | 0 | 353 | 0 | 647 | 0 |
N.S. |
1 | 1.00 | 0.96 | 1.16 | 0.00 | 1.76 | 0.00 | 3.24 | 0.00 |
time (sec) |
N/A | 0.384 | 11.554 | 2.968 | 0.000 | 0.279 | 0.000 | 0.389 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 218 | 218 | 444 | 354 | 0 | 430 | 0 | 730 | 0 |
N.S. |
1 | 1.00 | 2.04 | 1.62 | 0.00 | 1.97 | 0.00 | 3.35 | 0.00 |
time (sec) |
N/A | 0.393 | 11.747 | 3.461 | 0.000 | 0.289 | 0.000 | 0.429 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | B | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 225 | 225 | 434 | 434 | 0 | 505 | 0 | 778 | 0 |
N.S. |
1 | 1.00 | 1.93 | 1.93 | 0.00 | 2.24 | 0.00 | 3.46 | 0.00 |
time (sec) |
N/A | 0.373 | 12.106 | 3.984 | 0.000 | 0.285 | 0.000 | 0.449 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | B | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 217 | 217 | 422 | 524 | 0 | 554 | 0 | 719 | 0 |
N.S. |
1 | 1.00 | 1.94 | 2.41 | 0.00 | 2.55 | 0.00 | 3.31 | 0.00 |
time (sec) |
N/A | 0.374 | 12.664 | 4.362 | 0.000 | 0.287 | 0.000 | 0.522 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | B | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 217 | 217 | 355 | 432 | 0 | 633 | 0 | 928 | 0 |
N.S. |
1 | 1.00 | 1.64 | 1.99 | 0.00 | 2.92 | 0.00 | 4.28 | 0.00 |
time (sec) |
N/A | 0.386 | 13.414 | 4.518 | 0.000 | 0.296 | 0.000 | 0.492 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | B | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 266 | 266 | 409 | 526 | 0 | 760 | 0 | 990 | 0 |
N.S. |
1 | 1.00 | 1.54 | 1.98 | 0.00 | 2.86 | 0.00 | 3.72 | 0.00 |
time (sec) |
N/A | 0.414 | 15.203 | 5.053 | 0.000 | 0.290 | 0.000 | 0.562 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 200 | 200 | 157 | 111 | 478 | 115 | 0 | 777 | 0 |
N.S. |
1 | 1.00 | 0.78 | 0.56 | 2.39 | 0.58 | 0.00 | 3.88 | 0.00 |
time (sec) |
N/A | 0.268 | 14.124 | 3.194 | 0.344 | 0.275 | 0.000 | 0.515 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 159 | 159 | 134 | 95 | 386 | 95 | 0 | 573 | 0 |
N.S. |
1 | 1.00 | 0.84 | 0.60 | 2.43 | 0.60 | 0.00 | 3.60 | 0.00 |
time (sec) |
N/A | 0.241 | 11.898 | 3.150 | 0.322 | 0.254 | 0.000 | 0.443 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 113 | 73 | 294 | 67 | 0 | 353 | 0 |
N.S. |
1 | 1.00 | 0.96 | 0.62 | 2.49 | 0.57 | 0.00 | 2.99 | 0.00 |
time (sec) |
N/A | 0.221 | 9.755 | 0.826 | 0.331 | 0.262 | 0.000 | 0.420 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 44 | 53 | 174 | 44 | 0 | 175 | 128 |
N.S. |
1 | 1.00 | 0.60 | 0.73 | 2.38 | 0.60 | 0.00 | 2.40 | 1.75 |
time (sec) |
N/A | 0.200 | 1.632 | 0.648 | 0.313 | 0.246 | 0.000 | 0.351 | 15.139 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 91 | 91 | 140 | 130 | 0 | 162 | 0 | 148 | 0 |
N.S. |
1 | 1.00 | 1.54 | 1.43 | 0.00 | 1.78 | 0.00 | 1.63 | 0.00 |
time (sec) |
N/A | 0.208 | 1.353 | 0.875 | 0.000 | 0.281 | 0.000 | 0.348 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 284 | 225 | 0 | 231 | 0 | 405 | 0 |
N.S. |
1 | 1.00 | 2.09 | 1.65 | 0.00 | 1.70 | 0.00 | 2.98 | 0.00 |
time (sec) |
N/A | 0.244 | 1.682 | 0.832 | 0.000 | 0.264 | 0.000 | 0.358 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 180 | 180 | 404 | 350 | 0 | 282 | 0 | 504 | 0 |
N.S. |
1 | 1.00 | 2.24 | 1.94 | 0.00 | 1.57 | 0.00 | 2.80 | 0.00 |
time (sec) |
N/A | 0.293 | 2.038 | 1.014 | 0.000 | 0.270 | 0.000 | 0.618 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 242 | 242 | 176 | 143 | 762 | 153 | 0 | 978 | 0 |
N.S. |
1 | 1.00 | 0.73 | 0.59 | 3.15 | 0.63 | 0.00 | 4.04 | 0.00 |
time (sec) |
N/A | 0.485 | 12.204 | 20.203 | 0.335 | 0.272 | 0.000 | 0.836 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 201 | 201 | 159 | 121 | 670 | 133 | 0 | 774 | 0 |
N.S. |
1 | 1.00 | 0.79 | 0.60 | 3.33 | 0.66 | 0.00 | 3.85 | 0.00 |
time (sec) |
N/A | 0.399 | 8.236 | 20.181 | 0.339 | 0.263 | 0.000 | 0.747 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 154 | 154 | 130 | 105 | 577 | 110 | 0 | 293 | 0 |
N.S. |
1 | 1.00 | 0.84 | 0.68 | 3.75 | 0.71 | 0.00 | 1.90 | 0.00 |
time (sec) |
N/A | 0.339 | 7.308 | 19.675 | 0.329 | 0.273 | 0.000 | 0.611 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 113 | 81 | 482 | 80 | 0 | 283 | 492 |
N.S. |
1 | 1.00 | 0.98 | 0.70 | 4.19 | 0.70 | 0.00 | 2.46 | 4.28 |
time (sec) |
N/A | 0.287 | 6.740 | 0.796 | 0.351 | 0.251 | 0.000 | 0.545 | 17.888 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 87 | 63 | 343 | 60 | 0 | 223 | 137 |
N.S. |
1 | 1.00 | 1.12 | 0.81 | 4.40 | 0.77 | 0.00 | 2.86 | 1.76 |
time (sec) |
N/A | 0.211 | 1.445 | 0.667 | 0.312 | 0.269 | 0.000 | 0.736 | 17.432 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 135 | 135 | 176 | 168 | 0 | 217 | 0 | 259 | 0 |
N.S. |
1 | 1.00 | 1.30 | 1.24 | 0.00 | 1.61 | 0.00 | 1.92 | 0.00 |
time (sec) |
N/A | 0.250 | 1.764 | 0.855 | 0.000 | 0.280 | 0.000 | 0.410 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-1) | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 175 | 175 | 300 | 280 | 0 | 206 | 0 | 499 | 0 |
N.S. |
1 | 1.00 | 1.71 | 1.60 | 0.00 | 1.18 | 0.00 | 2.85 | 0.00 |
time (sec) |
N/A | 0.280 | 2.367 | 0.918 | 0.000 | 0.271 | 0.000 | 0.446 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-1) | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 225 | 225 | 430 | 426 | 0 | 279 | 0 | 750 | 0 |
N.S. |
1 | 1.00 | 1.91 | 1.89 | 0.00 | 1.24 | 0.00 | 3.33 | 0.00 |
time (sec) |
N/A | 0.346 | 2.807 | 0.918 | 0.000 | 0.279 | 0.000 | 0.574 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 242 | 242 | 176 | 143 | 945 | 166 | 0 | 395 | 0 |
N.S. |
1 | 1.00 | 0.73 | 0.59 | 3.90 | 0.69 | 0.00 | 1.63 | 0.00 |
time (sec) |
N/A | 0.467 | 9.439 | 120.732 | 0.327 | 0.282 | 0.000 | 0.556 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 209 | 209 | 158 | 121 | 854 | 148 | 0 | 774 | 0 |
N.S. |
1 | 1.00 | 0.76 | 0.58 | 4.09 | 0.71 | 0.00 | 3.70 | 0.00 |
time (sec) |
N/A | 0.403 | 8.766 | 121.349 | 0.330 | 0.265 | 0.000 | 0.560 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 160 | 160 | 132 | 105 | 761 | 125 | 0 | 449 | 904 |
N.S. |
1 | 1.00 | 0.82 | 0.66 | 4.76 | 0.78 | 0.00 | 2.81 | 5.65 |
time (sec) |
N/A | 0.328 | 7.568 | 118.777 | 0.311 | 0.264 | 0.000 | 0.511 | 22.845 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 121 | 121 | 113 | 83 | 663 | 95 | 0 | 373 | 683 |
N.S. |
1 | 1.00 | 0.93 | 0.69 | 5.48 | 0.79 | 0.00 | 3.08 | 5.64 |
time (sec) |
N/A | 0.284 | 6.828 | 0.687 | 0.310 | 0.262 | 0.000 | 0.449 | 19.599 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 89 | 65 | 505 | 77 | 0 | 368 | 479 |
N.S. |
1 | 1.00 | 1.05 | 0.76 | 5.94 | 0.91 | 0.00 | 4.33 | 5.64 |
time (sec) |
N/A | 0.218 | 2.143 | 0.643 | 0.307 | 0.265 | 0.000 | 0.413 | 18.177 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 174 | 174 | 204 | 200 | 0 | 262 | 0 | 450 | 0 |
N.S. |
1 | 1.00 | 1.17 | 1.15 | 0.00 | 1.51 | 0.00 | 2.59 | 0.00 |
time (sec) |
N/A | 0.303 | 2.003 | 0.781 | 0.000 | 0.272 | 0.000 | 0.456 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-1) | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 224 | 224 | 357 | 308 | 0 | 277 | 0 | 650 | 0 |
N.S. |
1 | 1.00 | 1.59 | 1.38 | 0.00 | 1.24 | 0.00 | 2.90 | 0.00 |
time (sec) |
N/A | 0.334 | 2.860 | 1.094 | 0.000 | 0.282 | 0.000 | 0.464 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-1) | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 258 | 258 | 479 | 410 | 0 | 238 | 0 | 901 | 0 |
N.S. |
1 | 1.00 | 1.86 | 1.59 | 0.00 | 0.92 | 0.00 | 3.49 | 0.00 |
time (sec) |
N/A | 0.405 | 3.571 | 0.990 | 0.000 | 0.288 | 0.000 | 0.561 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 94 | 118 | 131 | 0 | 140 | 0 | 150 | 173 |
N.S. |
1 | 1.00 | 1.26 | 1.39 | 0.00 | 1.49 | 0.00 | 1.60 | 1.84 |
time (sec) |
N/A | 0.235 | 2.390 | 3.704 | 0.000 | 0.273 | 0.000 | 0.369 | 16.389 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 94 | 102 | 95 | 0 | 121 | 0 | 150 | 149 |
N.S. |
1 | 1.00 | 1.09 | 1.01 | 0.00 | 1.29 | 0.00 | 1.60 | 1.59 |
time (sec) |
N/A | 0.241 | 2.106 | 3.587 | 0.000 | 0.273 | 0.000 | 0.380 | 15.011 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 94 | 84 | 71 | 0 | 92 | 0 | 144 | 122 |
N.S. |
1 | 1.00 | 0.89 | 0.76 | 0.00 | 0.98 | 0.00 | 1.53 | 1.30 |
time (sec) |
N/A | 0.246 | 1.551 | 3.129 | 0.000 | 0.283 | 0.000 | 0.385 | 1.999 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 57 | 49 | 0 | 61 | 0 | 140 | 75 |
N.S. |
1 | 1.00 | 0.62 | 0.53 | 0.00 | 0.66 | 0.00 | 1.52 | 0.82 |
time (sec) |
N/A | 0.224 | 0.096 | 2.884 | 0.000 | 0.266 | 0.000 | 0.363 | 1.030 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | A | F | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 100 | 120 | 300 | 175 | 0 | 0 | 141 | 0 |
N.S. |
1 | 1.00 | 1.20 | 3.00 | 1.75 | 0.00 | 0.00 | 1.41 | 0.00 |
time (sec) |
N/A | 0.242 | 2.364 | 2.526 | 0.389 | 0.000 | 0.000 | 0.377 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 99 | 99 | 147 | 139 | 0 | 0 | 0 | 112 | 0 |
N.S. |
1 | 1.00 | 1.48 | 1.40 | 0.00 | 0.00 | 0.00 | 1.13 | 0.00 |
time (sec) |
N/A | 0.266 | 2.570 | 2.761 | 0.000 | 0.000 | 0.000 | 0.375 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 101 | 71 | 0 | 87 | 0 | 112 | 0 |
N.S. |
1 | 1.00 | 1.10 | 0.77 | 0.00 | 0.95 | 0.00 | 1.22 | 0.00 |
time (sec) |
N/A | 0.254 | 2.384 | 3.413 | 0.000 | 0.276 | 0.000 | 0.450 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 94 | 103 | 103 | 0 | 106 | 0 | 112 | 153 |
N.S. |
1 | 1.00 | 1.10 | 1.10 | 0.00 | 1.13 | 0.00 | 1.19 | 1.63 |
time (sec) |
N/A | 0.248 | 3.226 | 3.555 | 0.000 | 0.266 | 0.000 | 0.433 | 18.328 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 146 | 146 | 205 | 135 | 0 | 148 | 0 | 247 | 323 |
N.S. |
1 | 1.00 | 1.40 | 0.92 | 0.00 | 1.01 | 0.00 | 1.69 | 2.21 |
time (sec) |
N/A | 0.260 | 4.913 | 3.311 | 0.000 | 0.294 | 0.000 | 0.500 | 17.672 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 146 | 146 | 172 | 132 | 0 | 126 | 0 | 247 | 174 |
N.S. |
1 | 1.00 | 1.18 | 0.90 | 0.00 | 0.86 | 0.00 | 1.69 | 1.19 |
time (sec) |
N/A | 0.257 | 4.539 | 3.198 | 0.000 | 0.284 | 0.000 | 0.497 | 16.597 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 134 | 134 | 99 | 80 | 0 | 83 | 0 | 237 | 103 |
N.S. |
1 | 1.00 | 0.74 | 0.60 | 0.00 | 0.62 | 0.00 | 1.77 | 0.77 |
time (sec) |
N/A | 0.266 | 1.358 | 2.838 | 0.000 | 0.270 | 0.000 | 0.497 | 2.030 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 96 | 81 | 71 | 0 | 87 | 0 | 144 | 122 |
N.S. |
1 | 1.00 | 0.84 | 0.74 | 0.00 | 0.91 | 0.00 | 1.50 | 1.27 |
time (sec) |
N/A | 0.233 | 1.394 | 3.026 | 0.000 | 0.267 | 0.000 | 0.431 | 14.136 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | F | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 145 | 145 | 136 | 424 | 0 | 0 | 0 | 243 | 0 |
N.S. |
1 | 1.00 | 0.94 | 2.92 | 0.00 | 0.00 | 0.00 | 1.68 | 0.00 |
time (sec) |
N/A | 0.257 | 3.985 | 2.665 | 0.000 | 0.000 | 0.000 | 0.745 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | F | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 158 | 158 | 210 | 237 | 366 | 0 | 0 | 225 | 0 |
N.S. |
1 | 1.00 | 1.33 | 1.50 | 2.32 | 0.00 | 0.00 | 1.42 | 0.00 |
time (sec) |
N/A | 0.273 | 8.556 | 2.676 | 0.330 | 0.000 | 0.000 | 0.398 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 149 | 149 | 198 | 216 | 0 | 0 | 0 | 205 | 0 |
N.S. |
1 | 1.00 | 1.33 | 1.45 | 0.00 | 0.00 | 0.00 | 1.38 | 0.00 |
time (sec) |
N/A | 0.280 | 9.000 | 2.941 | 0.000 | 0.000 | 0.000 | 0.405 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 96 | 125 | 104 | 0 | 125 | 0 | 183 | 0 |
N.S. |
1 | 1.00 | 1.30 | 1.08 | 0.00 | 1.30 | 0.00 | 1.91 | 0.00 |
time (sec) |
N/A | 0.194 | 9.781 | 3.348 | 0.000 | 0.270 | 0.000 | 0.415 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 146 | 146 | 123 | 127 | 0 | 134 | 0 | 183 | 245 |
N.S. |
1 | 1.00 | 0.84 | 0.87 | 0.00 | 0.92 | 0.00 | 1.25 | 1.68 |
time (sec) |
N/A | 0.281 | 11.599 | 3.974 | 0.000 | 0.272 | 0.000 | 0.419 | 19.273 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 154 | 154 | 126 | 188 | 0 | 155 | 0 | 183 | 279 |
N.S. |
1 | 1.00 | 0.82 | 1.22 | 0.00 | 1.01 | 0.00 | 1.19 | 1.81 |
time (sec) |
N/A | 0.263 | 11.913 | 4.242 | 0.000 | 0.282 | 0.000 | 0.407 | 21.015 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 198 | 198 | 223 | 200 | 0 | 160 | 0 | 355 | 383 |
N.S. |
1 | 1.00 | 1.13 | 1.01 | 0.00 | 0.81 | 0.00 | 1.79 | 1.93 |
time (sec) |
N/A | 0.328 | 7.513 | 73.458 | 0.000 | 0.308 | 0.000 | 0.492 | 18.721 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 180 | 180 | 116 | 112 | 0 | 117 | 0 | 355 | 131 |
N.S. |
1 | 1.00 | 0.64 | 0.62 | 0.00 | 0.65 | 0.00 | 1.97 | 0.73 |
time (sec) |
N/A | 0.318 | 2.561 | 72.761 | 0.000 | 0.274 | 0.000 | 0.436 | 16.763 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 142 | 142 | 165 | 132 | 0 | 119 | 0 | 341 | 174 |
N.S. |
1 | 1.00 | 1.16 | 0.93 | 0.00 | 0.84 | 0.00 | 2.40 | 1.23 |
time (sec) |
N/A | 0.268 | 4.371 | 3.614 | 0.000 | 0.291 | 0.000 | 0.437 | 16.439 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 96 | 102 | 95 | 0 | 117 | 0 | 150 | 149 |
N.S. |
1 | 1.00 | 1.06 | 0.99 | 0.00 | 1.22 | 0.00 | 1.56 | 1.55 |
time (sec) |
N/A | 0.235 | 1.861 | 3.399 | 0.000 | 0.274 | 0.000 | 0.427 | 3.030 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | F | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 193 | 193 | 177 | 493 | 0 | 0 | 0 | 303 | 0 |
N.S. |
1 | 1.00 | 0.92 | 2.55 | 0.00 | 0.00 | 0.00 | 1.57 | 0.00 |
time (sec) |
N/A | 0.352 | 11.680 | 3.761 | 0.000 | 0.000 | 0.000 | 0.467 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 210 | 210 | 231 | 262 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.10 | 1.25 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.357 | 11.768 | 3.568 | 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 | B | F | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 212 | 212 | 207 | 368 | 506 | 0 | 0 | 297 | 0 |
N.S. |
1 | 1.00 | 0.98 | 1.74 | 2.39 | 0.00 | 0.00 | 1.40 | 0.00 |
time (sec) |
N/A | 0.372 | 11.412 | 3.536 | 0.318 | 0.000 | 0.000 | 0.419 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 196 | 196 | 204 | 320 | 0 | 0 | 0 | 276 | 0 |
N.S. |
1 | 1.00 | 1.04 | 1.63 | 0.00 | 0.00 | 0.00 | 1.41 | 0.00 |
time (sec) |
N/A | 0.352 | 11.384 | 4.024 | 0.000 | 0.000 | 0.000 | 0.421 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 96 | 145 | 150 | 0 | 165 | 0 | 268 | 0 |
N.S. |
1 | 1.00 | 1.51 | 1.56 | 0.00 | 1.72 | 0.00 | 2.79 | 0.00 |
time (sec) |
N/A | 0.194 | 12.490 | 3.760 | 0.000 | 0.271 | 0.000 | 0.402 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 146 | 146 | 146 | 190 | 0 | 182 | 0 | 268 | 341 |
N.S. |
1 | 1.00 | 1.00 | 1.30 | 0.00 | 1.25 | 0.00 | 1.84 | 2.34 |
time (sec) |
N/A | 0.269 | 13.159 | 3.471 | 0.000 | 0.275 | 0.000 | 0.439 | 21.066 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 196 | 196 | 144 | 217 | 0 | 196 | 0 | 268 | 357 |
N.S. |
1 | 1.00 | 0.73 | 1.11 | 0.00 | 1.00 | 0.00 | 1.37 | 1.82 |
time (sec) |
N/A | 0.350 | 14.085 | 4.175 | 0.000 | 0.304 | 0.000 | 0.523 | 21.986 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 250 | 250 | 269 | 253 | 0 | 183 | 0 | 453 | 482 |
N.S. |
1 | 1.00 | 1.08 | 1.01 | 0.00 | 0.73 | 0.00 | 1.81 | 1.93 |
time (sec) |
N/A | 0.412 | 11.512 | 74.961 | 0.000 | 0.303 | 0.000 | 0.549 | 19.642 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 226 | 226 | 138 | 140 | 0 | 134 | 0 | 453 | 384 |
N.S. |
1 | 1.00 | 0.61 | 0.62 | 0.00 | 0.59 | 0.00 | 2.00 | 1.70 |
time (sec) |
N/A | 0.395 | 4.392 | 74.577 | 0.000 | 0.289 | 0.000 | 0.542 | 17.249 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 192 | 192 | 232 | 200 | 0 | 150 | 0 | 453 | 383 |
N.S. |
1 | 1.00 | 1.21 | 1.04 | 0.00 | 0.78 | 0.00 | 2.36 | 1.99 |
time (sec) |
N/A | 0.340 | 5.897 | 75.322 | 0.000 | 0.295 | 0.000 | 0.563 | 17.662 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 142 | 142 | 212 | 135 | 0 | 142 | 0 | 247 | 321 |
N.S. |
1 | 1.00 | 1.49 | 0.95 | 0.00 | 1.00 | 0.00 | 1.74 | 2.26 |
time (sec) |
N/A | 0.270 | 5.193 | 3.974 | 0.000 | 0.280 | 0.000 | 0.520 | 17.835 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 96 | 121 | 131 | 0 | 139 | 0 | 150 | 173 |
N.S. |
1 | 1.00 | 1.26 | 1.36 | 0.00 | 1.45 | 0.00 | 1.56 | 1.80 |
time (sec) |
N/A | 0.245 | 2.107 | 2.992 | 0.000 | 0.278 | 0.000 | 0.431 | 15.871 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | F | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 239 | 239 | 183 | 549 | 0 | 0 | 0 | 469 | 0 |
N.S. |
1 | 1.00 | 0.77 | 2.30 | 0.00 | 0.00 | 0.00 | 1.96 | 0.00 |
time (sec) |
N/A | 0.433 | 12.437 | 3.302 | 0.000 | 0.000 | 0.000 | 0.785 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 271 | 271 | 292 | 293 | 0 | 0 | 0 | 392 | 0 |
N.S. |
1 | 1.00 | 1.08 | 1.08 | 0.00 | 0.00 | 0.00 | 1.45 | 0.00 |
time (sec) |
N/A | 0.459 | 12.864 | 3.754 | 0.000 | 0.000 | 0.000 | 0.464 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 263 | 263 | 251 | 406 | 0 | 0 | 0 | 413 | 0 |
N.S. |
1 | 1.00 | 0.95 | 1.54 | 0.00 | 0.00 | 0.00 | 1.57 | 0.00 |
time (sec) |
N/A | 0.420 | 12.245 | 3.846 | 0.000 | 0.000 | 0.000 | 0.434 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | F | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 264 | 264 | 244 | 545 | 749 | 0 | 0 | 359 | 0 |
N.S. |
1 | 1.00 | 0.92 | 2.06 | 2.84 | 0.00 | 0.00 | 1.36 | 0.00 |
time (sec) |
N/A | 0.460 | 12.492 | 4.484 | 0.363 | 0.000 | 0.000 | 0.457 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 247 | 247 | 238 | 409 | 0 | 0 | 0 | 338 | 0 |
N.S. |
1 | 1.00 | 0.96 | 1.66 | 0.00 | 0.00 | 0.00 | 1.37 | 0.00 |
time (sec) |
N/A | 0.443 | 12.285 | 4.477 | 0.000 | 0.000 | 0.000 | 0.431 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | B | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 96 | 434 | 190 | 0 | 199 | 0 | 341 | 0 |
N.S. |
1 | 1.00 | 4.52 | 1.98 | 0.00 | 2.07 | 0.00 | 3.55 | 0.00 |
time (sec) |
N/A | 0.201 | 17.068 | 4.772 | 0.000 | 0.297 | 0.000 | 0.418 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 146 | 146 | 442 | 206 | 0 | 214 | 0 | 341 | 406 |
N.S. |
1 | 1.00 | 3.03 | 1.41 | 0.00 | 1.47 | 0.00 | 2.34 | 2.78 |
time (sec) |
N/A | 0.293 | 17.127 | 4.937 | 0.000 | 0.289 | 0.000 | 0.550 | 22.906 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 202 | 202 | 442 | 283 | 0 | 234 | 0 | 341 | 827 |
N.S. |
1 | 1.00 | 2.19 | 1.40 | 0.00 | 1.16 | 0.00 | 1.69 | 4.09 |
time (sec) |
N/A | 0.370 | 17.202 | 4.968 | 0.000 | 0.300 | 0.000 | 0.506 | 25.378 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-1) | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 246 | 246 | 436 | 309 | 0 | 243 | 0 | 341 | 841 |
N.S. |
1 | 1.00 | 1.77 | 1.26 | 0.00 | 0.99 | 0.00 | 1.39 | 3.42 |
time (sec) |
N/A | 0.467 | 17.215 | 5.352 | 0.000 | 0.307 | 0.000 | 0.537 | 28.876 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | F | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 197 | 197 | 185 | 495 | 0 | 0 | 0 | 302 | 0 |
N.S. |
1 | 1.00 | 0.94 | 2.51 | 0.00 | 0.00 | 0.00 | 1.53 | 0.00 |
time (sec) |
N/A | 0.342 | 11.561 | 4.173 | 0.000 | 0.000 | 0.000 | 0.462 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | F | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 146 | 146 | 146 | 426 | 0 | 0 | 0 | 247 | 0 |
N.S. |
1 | 1.00 | 1.00 | 2.92 | 0.00 | 0.00 | 0.00 | 1.69 | 0.00 |
time (sec) |
N/A | 0.275 | 6.421 | 4.076 | 0.000 | 0.000 | 0.000 | 0.378 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | A | F | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 96 | 119 | 306 | 176 | 0 | 0 | 143 | 0 |
N.S. |
1 | 1.00 | 1.24 | 3.19 | 1.83 | 0.00 | 0.00 | 1.49 | 0.00 |
time (sec) |
N/A | 0.252 | 2.144 | 3.391 | 0.362 | 0.000 | 0.000 | 0.385 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 113 | 83 | 131 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.73 | 1.16 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.290 | 0.860 | 3.136 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 191 | 465 | 0 | 337 | 0 | 204 | 0 |
N.S. |
1 | 1.00 | 1.85 | 4.51 | 0.00 | 3.27 | 0.00 | 1.98 | 0.00 |
time (sec) |
N/A | 0.197 | 2.334 | 3.121 | 0.000 | 0.293 | 0.000 | 0.357 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 153 | 153 | 222 | 773 | 0 | 424 | 0 | 229 | 0 |
N.S. |
1 | 1.00 | 1.45 | 5.05 | 0.00 | 2.77 | 0.00 | 1.50 | 0.00 |
time (sec) |
N/A | 0.267 | 2.251 | 3.637 | 0.000 | 0.315 | 0.000 | 0.372 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 271 | 271 | 271 | 293 | 0 | 0 | 0 | 394 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.08 | 0.00 | 0.00 | 0.00 | 1.45 | 0.00 |
time (sec) |
N/A | 0.424 | 12.839 | 2.967 | 0.000 | 0.000 | 0.000 | 0.397 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 210 | 210 | 212 | 262 | 0 | 0 | 0 | 253 | 0 |
N.S. |
1 | 1.00 | 1.01 | 1.25 | 0.00 | 0.00 | 0.00 | 1.20 | 0.00 |
time (sec) |
N/A | 0.347 | 11.711 | 3.234 | 0.000 | 0.000 | 0.000 | 0.363 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | F | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 159 | 159 | 190 | 238 | 367 | 0 | 0 | 226 | 0 |
N.S. |
1 | 1.00 | 1.19 | 1.50 | 2.31 | 0.00 | 0.00 | 1.42 | 0.00 |
time (sec) |
N/A | 0.283 | 11.327 | 2.781 | 0.320 | 0.000 | 0.000 | 0.359 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 100 | 143 | 141 | 0 | 0 | 0 | 114 | 0 |
N.S. |
1 | 1.00 | 1.43 | 1.41 | 0.00 | 0.00 | 0.00 | 1.14 | 0.00 |
time (sec) |
N/A | 0.256 | 2.366 | 2.536 | 0.000 | 0.000 | 0.000 | 0.354 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 186 | 460 | 0 | 329 | 0 | 183 | 0 |
N.S. |
1 | 1.00 | 1.81 | 4.47 | 0.00 | 3.19 | 0.00 | 1.78 | 0.00 |
time (sec) |
N/A | 0.193 | 2.211 | 2.685 | 0.000 | 0.287 | 0.000 | 0.389 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 150 | 150 | 142 | 111 | 0 | 272 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.95 | 0.74 | 0.00 | 1.81 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.268 | 1.755 | 2.787 | 0.000 | 0.335 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 217 | 217 | 306 | 361 | 0 | 437 | 0 | 281 | 0 |
N.S. |
1 | 1.00 | 1.41 | 1.66 | 0.00 | 2.01 | 0.00 | 1.29 | 0.00 |
time (sec) |
N/A | 0.340 | 2.829 | 3.135 | 0.000 | 0.329 | 0.000 | 0.419 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 323 | 323 | 286 | 445 | 0 | 0 | 0 | 453 | 0 |
N.S. |
1 | 1.00 | 0.89 | 1.38 | 0.00 | 0.00 | 0.00 | 1.40 | 0.00 |
time (sec) |
N/A | 0.506 | 14.471 | 3.908 | 0.000 | 0.000 | 0.000 | 0.456 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 263 | 263 | 243 | 407 | 0 | 0 | 0 | 414 | 0 |
N.S. |
1 | 1.00 | 0.92 | 1.55 | 0.00 | 0.00 | 0.00 | 1.57 | 0.00 |
time (sec) |
N/A | 0.409 | 12.192 | 3.134 | 0.000 | 0.000 | 0.000 | 0.457 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | F | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 211 | 211 | 199 | 368 | 504 | 0 | 0 | 298 | 0 |
N.S. |
1 | 1.00 | 0.94 | 1.74 | 2.39 | 0.00 | 0.00 | 1.41 | 0.00 |
time (sec) |
N/A | 0.349 | 11.414 | 3.069 | 0.474 | 0.000 | 0.000 | 0.479 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 149 | 149 | 179 | 214 | 0 | 0 | 0 | 206 | 0 |
N.S. |
1 | 1.00 | 1.20 | 1.44 | 0.00 | 0.00 | 0.00 | 1.38 | 0.00 |
time (sec) |
N/A | 0.277 | 11.379 | 3.248 | 0.000 | 0.000 | 0.000 | 0.456 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 94 | 99 | 70 | 0 | 85 | 0 | 111 | 156 |
N.S. |
1 | 1.00 | 1.05 | 0.74 | 0.00 | 0.90 | 0.00 | 1.18 | 1.66 |
time (sec) |
N/A | 0.247 | 2.136 | 2.547 | 0.000 | 0.272 | 0.000 | 0.466 | 15.092 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 151 | 151 | 214 | 772 | 0 | 408 | 0 | 211 | 0 |
N.S. |
1 | 1.00 | 1.42 | 5.11 | 0.00 | 2.70 | 0.00 | 1.40 | 0.00 |
time (sec) |
N/A | 0.259 | 2.265 | 2.938 | 0.000 | 0.329 | 0.000 | 0.514 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 208 | 208 | 305 | 361 | 0 | 419 | 0 | 276 | 0 |
N.S. |
1 | 1.00 | 1.47 | 1.74 | 0.00 | 2.01 | 0.00 | 1.33 | 0.00 |
time (sec) |
N/A | 0.350 | 2.986 | 2.717 | 0.000 | 0.311 | 0.000 | 0.503 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 245 | 245 | 192 | 136 | 0 | 306 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.78 | 0.56 | 0.00 | 1.25 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.436 | 3.577 | 3.035 | 0.000 | 0.327 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 174 | 174 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.231 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 145 | 145 | 604 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 4.17 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.235 | 26.946 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 145 | 145 | 443 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 3.06 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.230 | 13.086 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 139 | 139 | 468 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 3.37 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.199 | 3.183 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 117 | 117 | 101 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.059 | 0.304 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 123 | 123 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.205 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |