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 | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 269 | 275 | 147 | 180 | 362 | 416 | 0 | 3058 | 379 |
N.S. |
1 | 1.02 | 0.55 | 0.67 | 1.35 | 1.55 | 0.00 | 11.37 | 1.41 |
time (sec) |
N/A | 0.538 | 0.148 | 0.573 | 0.268 | 0.314 | 0.000 | 0.414 | 12.926 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 200 | 199 | 100 | 108 | 243 | 284 | 0 | 2010 | 259 |
N.S. |
1 | 1.00 | 0.50 | 0.54 | 1.22 | 1.42 | 0.00 | 10.05 | 1.30 |
time (sec) |
N/A | 0.419 | 0.099 | 0.564 | 0.236 | 0.400 | 0.000 | 0.376 | 12.675 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 125 | 123 | 64 | 59 | 141 | 173 | 0 | 1147 | 134 |
N.S. |
1 | 0.98 | 0.51 | 0.47 | 1.13 | 1.38 | 0.00 | 9.18 | 1.07 |
time (sec) |
N/A | 0.269 | 0.071 | 0.514 | 0.224 | 0.407 | 0.000 | 0.322 | 12.433 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 48 | 37 | 42 | 60 | 91 | 0 | 477 | 79 |
N.S. |
1 | 1.00 | 0.77 | 0.88 | 1.25 | 1.90 | 0.00 | 9.94 | 1.65 |
time (sec) |
N/A | 0.174 | 0.028 | 0.536 | 0.206 | 0.410 | 0.000 | 0.299 | 12.416 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 236 | 246 | 168 | 421 | 0 | 587 | 0 | 853 | 0 |
N.S. |
1 | 1.04 | 0.71 | 1.78 | 0.00 | 2.49 | 0.00 | 3.61 | 0.00 |
time (sec) |
N/A | 0.593 | 0.216 | 0.576 | 0.000 | 0.409 | 0.000 | 0.637 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 235 | 245 | 183 | 513 | 0 | 672 | 0 | 1025 | 0 |
N.S. |
1 | 1.04 | 0.78 | 2.18 | 0.00 | 2.86 | 0.00 | 4.36 | 0.00 |
time (sec) |
N/A | 0.566 | 0.445 | 0.602 | 0.000 | 0.433 | 0.000 | 0.602 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 246 | 246 | 189 | 516 | 0 | 683 | 0 | 1038 | 0 |
N.S. |
1 | 1.00 | 0.77 | 2.10 | 0.00 | 2.78 | 0.00 | 4.22 | 0.00 |
time (sec) |
N/A | 0.556 | 0.534 | 0.557 | 0.000 | 0.551 | 0.000 | 0.583 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 253 | 256 | 171 | 431 | 0 | 1140 | 0 | 940 | 0 |
N.S. |
1 | 1.01 | 0.68 | 1.70 | 0.00 | 4.51 | 0.00 | 3.72 | 0.00 |
time (sec) |
N/A | 0.546 | 0.776 | 0.562 | 0.000 | 0.818 | 0.000 | 0.707 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 323 | 326 | 244 | 655 | 0 | 1862 | 0 | 1574 | 0 |
N.S. |
1 | 1.01 | 0.76 | 2.03 | 0.00 | 5.76 | 0.00 | 4.87 | 0.00 |
time (sec) |
N/A | 0.668 | 1.212 | 0.551 | 0.000 | 0.548 | 0.000 | 1.746 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 393 | 406 | 301 | 914 | 0 | 2750 | 0 | 2407 | 0 |
N.S. |
1 | 1.03 | 0.77 | 2.33 | 0.00 | 7.00 | 0.00 | 6.12 | 0.00 |
time (sec) |
N/A | 0.820 | 1.689 | 0.566 | 0.000 | 1.368 | 0.000 | 2.828 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 463 | 486 | 370 | 1251 | 0 | 3872 | 0 | 3412 | 0 |
N.S. |
1 | 1.05 | 0.80 | 2.70 | 0.00 | 8.36 | 0.00 | 7.37 | 0.00 |
time (sec) |
N/A | 0.960 | 2.720 | 0.579 | 0.000 | 3.973 | 0.000 | 7.620 | 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 | 313 | 325 | 191 | 501 | 0 | 841 | 0 | 989 | 0 |
N.S. |
1 | 1.04 | 0.61 | 1.60 | 0.00 | 2.69 | 0.00 | 3.16 | 0.00 |
time (sec) |
N/A | 0.657 | 0.396 | 0.571 | 0.000 | 1.023 | 0.000 | 0.644 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 244 | 247 | 156 | 318 | 0 | 655 | 0 | 633 | 0 |
N.S. |
1 | 1.01 | 0.64 | 1.30 | 0.00 | 2.68 | 0.00 | 2.59 | 0.00 |
time (sec) |
N/A | 0.509 | 0.314 | 0.576 | 0.000 | 0.798 | 0.000 | 0.520 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 169 | 169 | 138 | 191 | 0 | 521 | 0 | 380 | 0 |
N.S. |
1 | 1.00 | 0.82 | 1.13 | 0.00 | 3.08 | 0.00 | 2.25 | 0.00 |
time (sec) |
N/A | 0.377 | 0.249 | 0.627 | 0.000 | 0.750 | 0.000 | 0.435 | 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 | 105 | 105 | 94 | 102 | 0 | 343 | 0 | 161 | 0 |
N.S. |
1 | 1.00 | 0.90 | 0.97 | 0.00 | 3.27 | 0.00 | 1.53 | 0.00 |
time (sec) |
N/A | 0.250 | 0.137 | 0.569 | 0.000 | 0.746 | 0.000 | 0.370 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 50 | 45 | 0 | 114 | 0 | 194 | 100 |
N.S. |
1 | 1.00 | 0.82 | 0.74 | 0.00 | 1.87 | 0.00 | 3.18 | 1.64 |
time (sec) |
N/A | 0.216 | 0.046 | 0.531 | 0.000 | 0.345 | 0.000 | 0.306 | 13.992 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 69 | 61 | 0 | 288 | 0 | 676 | 147 |
N.S. |
1 | 1.00 | 0.53 | 0.47 | 0.00 | 2.23 | 0.00 | 5.24 | 1.14 |
time (sec) |
N/A | 0.316 | 0.086 | 0.574 | 0.000 | 0.435 | 0.000 | 0.353 | 14.283 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 198 | 211 | 105 | 111 | 0 | 572 | 0 | 1612 | 242 |
N.S. |
1 | 1.07 | 0.53 | 0.56 | 0.00 | 2.89 | 0.00 | 8.14 | 1.22 |
time (sec) |
N/A | 0.446 | 0.126 | 0.556 | 0.000 | 1.041 | 0.000 | 0.423 | 14.539 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 267 | 293 | 152 | 183 | 0 | 953 | 0 | 2971 | 357 |
N.S. |
1 | 1.10 | 0.57 | 0.69 | 0.00 | 3.57 | 0.00 | 11.13 | 1.34 |
time (sec) |
N/A | 0.568 | 0.182 | 0.572 | 0.000 | 2.747 | 0.000 | 0.547 | 14.094 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 301 | 312 | 183 | 638 | 0 | 971 | 0 | 834 | 0 |
N.S. |
1 | 1.04 | 0.61 | 2.12 | 0.00 | 3.23 | 0.00 | 2.77 | 0.00 |
time (sec) |
N/A | 0.625 | 0.462 | 0.550 | 0.000 | 1.018 | 0.000 | 0.627 | 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 | 227 | 234 | 142 | 386 | 0 | 725 | 0 | 527 | 0 |
N.S. |
1 | 1.03 | 0.63 | 1.70 | 0.00 | 3.19 | 0.00 | 2.32 | 0.00 |
time (sec) |
N/A | 0.491 | 0.302 | 0.549 | 0.000 | 0.745 | 0.000 | 0.517 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 161 | 161 | 117 | 200 | 0 | 569 | 0 | 408 | 0 |
N.S. |
1 | 1.00 | 0.73 | 1.24 | 0.00 | 3.53 | 0.00 | 2.53 | 0.00 |
time (sec) |
N/A | 0.354 | 0.168 | 0.515 | 0.000 | 0.690 | 0.000 | 0.472 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 50 | 55 | 0 | 125 | 0 | 218 | 147 |
N.S. |
1 | 1.00 | 0.82 | 0.90 | 0.00 | 2.05 | 0.00 | 3.57 | 2.41 |
time (sec) |
N/A | 0.221 | 0.040 | 0.546 | 0.000 | 0.293 | 0.000 | 0.315 | 13.249 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 124 | 124 | 64 | 70 | 0 | 325 | 0 | 793 | 151 |
N.S. |
1 | 1.00 | 0.52 | 0.56 | 0.00 | 2.62 | 0.00 | 6.40 | 1.22 |
time (sec) |
N/A | 0.323 | 0.093 | 0.559 | 0.000 | 0.348 | 0.000 | 0.380 | 13.591 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 192 | 206 | 105 | 120 | 0 | 649 | 0 | 2618 | 268 |
N.S. |
1 | 1.07 | 0.55 | 0.62 | 0.00 | 3.38 | 0.00 | 13.64 | 1.40 |
time (sec) |
N/A | 0.439 | 0.130 | 0.555 | 0.000 | 0.420 | 0.000 | 1.841 | 13.978 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 262 | 288 | 150 | 192 | 0 | 1062 | 0 | 6137 | 414 |
N.S. |
1 | 1.10 | 0.57 | 0.73 | 0.00 | 4.05 | 0.00 | 23.42 | 1.58 |
time (sec) |
N/A | 0.564 | 0.174 | 0.556 | 0.000 | 1.397 | 0.000 | 24.647 | 14.396 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 289 | 303 | 188 | 642 | 0 | 1055 | 0 | 1105 | 0 |
N.S. |
1 | 1.05 | 0.65 | 2.22 | 0.00 | 3.65 | 0.00 | 3.82 | 0.00 |
time (sec) |
N/A | 0.602 | 0.422 | 0.547 | 0.000 | 0.892 | 0.000 | 0.855 | 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 | 219 | 227 | 134 | 333 | 0 | 755 | 0 | 685 | 0 |
N.S. |
1 | 1.04 | 0.61 | 1.52 | 0.00 | 3.45 | 0.00 | 3.13 | 0.00 |
time (sec) |
N/A | 0.463 | 0.263 | 0.550 | 0.000 | 0.782 | 0.000 | 0.651 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 52 | 55 | 0 | 193 | 0 | 316 | 169 |
N.S. |
1 | 1.00 | 0.83 | 0.87 | 0.00 | 3.06 | 0.00 | 5.02 | 2.68 |
time (sec) |
N/A | 0.217 | 0.044 | 0.500 | 0.000 | 0.320 | 0.000 | 0.446 | 12.871 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 128 | 128 | 67 | 72 | 0 | 318 | 0 | 552 | 246 |
N.S. |
1 | 1.00 | 0.52 | 0.56 | 0.00 | 2.48 | 0.00 | 4.31 | 1.92 |
time (sec) |
N/A | 0.328 | 0.095 | 0.543 | 0.000 | 0.439 | 0.000 | 0.353 | 13.620 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 194 | 205 | 103 | 121 | 0 | 667 | 0 | 1923 | 255 |
N.S. |
1 | 1.06 | 0.53 | 0.62 | 0.00 | 3.44 | 0.00 | 9.91 | 1.31 |
time (sec) |
N/A | 0.435 | 0.133 | 0.568 | 0.000 | 0.534 | 0.000 | 0.496 | 13.938 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 260 | 285 | 152 | 191 | 0 | 1065 | 0 | 4668 | 416 |
N.S. |
1 | 1.10 | 0.58 | 0.73 | 0.00 | 4.10 | 0.00 | 17.95 | 1.60 |
time (sec) |
N/A | 0.570 | 0.188 | 0.588 | 0.000 | 1.032 | 0.000 | 3.080 | 14.247 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 385 | 397 | 235 | 732 | 0 | 1065 | 0 | 6752 | 0 |
N.S. |
1 | 1.03 | 0.61 | 1.90 | 0.00 | 2.77 | 0.00 | 17.54 | 0.00 |
time (sec) |
N/A | 0.769 | 0.523 | 0.569 | 0.000 | 2.538 | 0.000 | 2.147 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 313 | 319 | 188 | 504 | 0 | 847 | 0 | 3056 | 0 |
N.S. |
1 | 1.02 | 0.60 | 1.61 | 0.00 | 2.71 | 0.00 | 9.76 | 0.00 |
time (sec) |
N/A | 0.628 | 0.427 | 0.575 | 0.000 | 1.381 | 0.000 | 1.196 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 241 | 241 | 162 | 319 | 0 | 657 | 0 | 995 | 0 |
N.S. |
1 | 1.00 | 0.67 | 1.32 | 0.00 | 2.73 | 0.00 | 4.13 | 0.00 |
time (sec) |
N/A | 0.481 | 0.387 | 0.524 | 0.000 | 1.293 | 0.000 | 0.650 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 167 | 167 | 144 | 188 | 0 | 516 | 0 | 409 | 0 |
N.S. |
1 | 1.00 | 0.86 | 1.13 | 0.00 | 3.09 | 0.00 | 2.45 | 0.00 |
time (sec) |
N/A | 0.361 | 0.263 | 0.547 | 0.000 | 0.764 | 0.000 | 0.465 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 158 | 158 | 133 | 187 | 0 | 521 | 0 | 426 | 0 |
N.S. |
1 | 1.00 | 0.84 | 1.18 | 0.00 | 3.30 | 0.00 | 2.70 | 0.00 |
time (sec) |
N/A | 0.343 | 0.187 | 0.568 | 0.000 | 0.724 | 0.000 | 0.520 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 52 | 53 | 0 | 169 | 0 | 311 | 136 |
N.S. |
1 | 1.00 | 0.83 | 0.84 | 0.00 | 2.68 | 0.00 | 4.94 | 2.16 |
time (sec) |
N/A | 0.211 | 0.046 | 0.595 | 0.000 | 0.306 | 0.000 | 0.513 | 12.994 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 69 | 70 | 0 | 402 | 0 | 762 | 187 |
N.S. |
1 | 1.00 | 0.53 | 0.54 | 0.00 | 3.12 | 0.00 | 5.91 | 1.45 |
time (sec) |
N/A | 0.326 | 0.101 | 0.577 | 0.000 | 0.351 | 0.000 | 0.841 | 13.348 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 198 | 211 | 105 | 119 | 0 | 748 | 0 | 1426 | 289 |
N.S. |
1 | 1.07 | 0.53 | 0.60 | 0.00 | 3.78 | 0.00 | 7.20 | 1.46 |
time (sec) |
N/A | 0.435 | 0.136 | 0.568 | 0.000 | 0.555 | 0.000 | 0.792 | 13.574 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 267 | 293 | 152 | 191 | 0 | 1179 | 0 | 2280 | 409 |
N.S. |
1 | 1.10 | 0.57 | 0.72 | 0.00 | 4.42 | 0.00 | 8.54 | 1.53 |
time (sec) |
N/A | 0.576 | 0.218 | 0.562 | 0.000 | 1.086 | 0.000 | 1.184 | 13.456 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 382 | 391 | 244 | 732 | 0 | 1059 | 0 | 8807 | 0 |
N.S. |
1 | 1.02 | 0.64 | 1.92 | 0.00 | 2.77 | 0.00 | 23.05 | 0.00 |
time (sec) |
N/A | 0.780 | 0.631 | 0.544 | 0.000 | 1.639 | 0.000 | 2.739 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 310 | 313 | 199 | 504 | 0 | 847 | 0 | 3057 | 0 |
N.S. |
1 | 1.01 | 0.64 | 1.63 | 0.00 | 2.73 | 0.00 | 9.86 | 0.00 |
time (sec) |
N/A | 0.611 | 0.517 | 0.566 | 0.000 | 1.006 | 0.000 | 1.206 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 238 | 239 | 165 | 315 | 0 | 651 | 0 | 709 | 0 |
N.S. |
1 | 1.00 | 0.69 | 1.32 | 0.00 | 2.74 | 0.00 | 2.98 | 0.00 |
time (sec) |
N/A | 0.493 | 0.401 | 0.563 | 0.000 | 0.804 | 0.000 | 0.551 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 222 | 227 | 158 | 373 | 0 | 663 | 0 | 559 | 0 |
N.S. |
1 | 1.02 | 0.71 | 1.68 | 0.00 | 2.99 | 0.00 | 2.52 | 0.00 |
time (sec) |
N/A | 0.472 | 0.374 | 0.594 | 0.000 | 1.150 | 0.000 | 0.591 | 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 | 214 | 219 | 152 | 321 | 0 | 685 | 0 | 686 | 0 |
N.S. |
1 | 1.02 | 0.71 | 1.50 | 0.00 | 3.20 | 0.00 | 3.21 | 0.00 |
time (sec) |
N/A | 0.452 | 0.309 | 0.575 | 0.000 | 1.107 | 0.000 | 0.724 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 52 | 55 | 0 | 232 | 0 | 446 | 232 |
N.S. |
1 | 1.00 | 0.83 | 0.87 | 0.00 | 3.68 | 0.00 | 7.08 | 3.68 |
time (sec) |
N/A | 0.217 | 0.061 | 0.579 | 0.000 | 0.417 | 0.000 | 0.953 | 12.483 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 69 | 99 | 0 | 526 | 0 | 1001 | 247 |
N.S. |
1 | 1.00 | 0.53 | 0.77 | 0.00 | 4.08 | 0.00 | 7.76 | 1.91 |
time (sec) |
N/A | 0.326 | 0.123 | 0.544 | 0.000 | 0.498 | 0.000 | 0.740 | 12.656 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 198 | 211 | 105 | 169 | 0 | 918 | 0 | 1760 | 377 |
N.S. |
1 | 1.07 | 0.53 | 0.85 | 0.00 | 4.64 | 0.00 | 8.89 | 1.90 |
time (sec) |
N/A | 0.440 | 0.181 | 0.575 | 0.000 | 1.032 | 0.000 | 1.113 | 13.496 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 267 | 293 | 152 | 260 | 0 | 1420 | 0 | 2715 | 519 |
N.S. |
1 | 1.10 | 0.57 | 0.97 | 0.00 | 5.32 | 0.00 | 10.17 | 1.94 |
time (sec) |
N/A | 0.584 | 0.249 | 0.596 | 0.000 | 1.444 | 0.000 | 1.693 | 13.888 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 448 | 463 | 303 | 1005 | 0 | 1331 | 0 | 18597 | 0 |
N.S. |
1 | 1.03 | 0.68 | 2.24 | 0.00 | 2.97 | 0.00 | 41.51 | 0.00 |
time (sec) |
N/A | 0.910 | 0.815 | 0.620 | 0.000 | 3.552 | 0.000 | 5.441 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 376 | 385 | 244 | 732 | 0 | 1065 | 0 | 6756 | 0 |
N.S. |
1 | 1.02 | 0.65 | 1.95 | 0.00 | 2.83 | 0.00 | 17.97 | 0.00 |
time (sec) |
N/A | 0.763 | 0.690 | 0.593 | 0.000 | 1.735 | 0.000 | 2.203 | 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 | 304 | 311 | 189 | 498 | 0 | 837 | 0 | 1098 | 0 |
N.S. |
1 | 1.02 | 0.62 | 1.64 | 0.00 | 2.75 | 0.00 | 3.61 | 0.00 |
time (sec) |
N/A | 0.641 | 0.566 | 0.578 | 0.000 | 1.030 | 0.000 | 0.695 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 294 | 299 | 199 | 625 | 0 | 915 | 0 | 894 | 0 |
N.S. |
1 | 1.02 | 0.68 | 2.13 | 0.00 | 3.11 | 0.00 | 3.04 | 0.00 |
time (sec) |
N/A | 0.612 | 0.453 | 0.572 | 0.000 | 0.823 | 0.000 | 0.768 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 284 | 291 | 187 | 628 | 0 | 973 | 0 | 1178 | 0 |
N.S. |
1 | 1.02 | 0.66 | 2.21 | 0.00 | 3.43 | 0.00 | 4.15 | 0.00 |
time (sec) |
N/A | 0.588 | 0.459 | 0.566 | 0.000 | 0.785 | 0.000 | 1.010 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 274 | 280 | 188 | 501 | 0 | 933 | 0 | 1224 | 0 |
N.S. |
1 | 1.02 | 0.69 | 1.83 | 0.00 | 3.41 | 0.00 | 4.47 | 0.00 |
time (sec) |
N/A | 0.584 | 0.355 | 0.582 | 0.000 | 1.180 | 0.000 | 1.591 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 52 | 63 | 0 | 299 | 0 | 602 | 325 |
N.S. |
1 | 1.00 | 0.83 | 1.00 | 0.00 | 4.75 | 0.00 | 9.56 | 5.16 |
time (sec) |
N/A | 0.223 | 0.075 | 0.579 | 0.000 | 0.442 | 0.000 | 0.778 | 12.820 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 69 | 99 | 0 | 639 | 0 | 1275 | 315 |
N.S. |
1 | 1.00 | 0.53 | 0.77 | 0.00 | 4.95 | 0.00 | 9.88 | 2.44 |
time (sec) |
N/A | 0.331 | 0.174 | 0.575 | 0.000 | 0.599 | 0.000 | 1.163 | 13.083 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 198 | 211 | 115 | 169 | 0 | 1101 | 0 | 2167 | 465 |
N.S. |
1 | 1.07 | 0.58 | 0.85 | 0.00 | 5.56 | 0.00 | 10.94 | 2.35 |
time (sec) |
N/A | 0.456 | 0.190 | 0.559 | 0.000 | 1.082 | 0.000 | 1.772 | 13.494 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 267 | 293 | 162 | 260 | 0 | 1648 | 0 | 3241 | 627 |
N.S. |
1 | 1.10 | 0.61 | 0.97 | 0.00 | 6.17 | 0.00 | 12.14 | 2.35 |
time (sec) |
N/A | 0.576 | 0.261 | 0.565 | 0.000 | 1.568 | 0.000 | 2.660 | 13.617 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 104 | 122 | 100 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.17 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.284 | 0.274 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 104 | 110 | 98 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.94 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.268 | 0.189 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 104 | 118 | 98 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.13 | 0.94 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.263 | 0.131 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 104 | 120 | 100 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.15 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.262 | 0.131 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 104 | 122 | 100 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.17 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.264 | 0.195 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 104 | 122 | 110 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.17 | 1.06 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.272 | 0.189 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F(-2) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 103 | 107 | 95 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.92 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.260 | 0.077 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 343 | 324 | 134 | 527 | 331 | 705 | 0 | 1926 | 615 |
N.S. |
1 | 0.94 | 0.39 | 1.54 | 0.97 | 2.06 | 0.00 | 5.62 | 1.79 |
time (sec) |
N/A | 0.563 | 0.275 | 4.168 | 0.239 | 0.331 | 0.000 | 0.493 | 12.306 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 246 | 237 | 131 | 235 | 193 | 350 | 0 | 929 | 327 |
N.S. |
1 | 0.96 | 0.53 | 0.96 | 0.78 | 1.42 | 0.00 | 3.78 | 1.33 |
time (sec) |
N/A | 0.418 | 0.196 | 2.121 | 0.236 | 0.307 | 0.000 | 0.537 | 12.132 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 150 | 150 | 67 | 89 | 94 | 145 | 0 | 347 | 139 |
N.S. |
1 | 1.00 | 0.45 | 0.59 | 0.63 | 0.97 | 0.00 | 2.31 | 0.93 |
time (sec) |
N/A | 0.282 | 0.108 | 1.208 | 0.215 | 0.288 | 0.000 | 0.300 | 12.062 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 42 | 57 | 33 | 57 | 0 | 81 | 57 |
N.S. |
1 | 1.00 | 0.78 | 1.06 | 0.61 | 1.06 | 0.00 | 1.50 | 1.06 |
time (sec) |
N/A | 0.179 | 0.010 | 0.783 | 0.203 | 0.292 | 0.000 | 0.300 | 11.773 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F(-2) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 99 | 99 | 82 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.236 | 0.070 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 84 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.238 | 0.068 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F(-2) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 88 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.84 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.244 | 0.072 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 93 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.253 | 0.162 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 93 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.253 | 0.117 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 91 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.88 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.244 | 0.133 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 91 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.88 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.245 | 0.179 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 93 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.247 | 0.217 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 52 | 64 | 49 | 66 | 0 | 106 | 63 |
N.S. |
1 | 1.00 | 0.80 | 0.98 | 0.75 | 1.02 | 0.00 | 1.63 | 0.97 |
time (sec) |
N/A | 0.207 | 0.013 | 3.875 | 0.222 | 0.293 | 0.000 | 0.302 | 12.029 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 78 | 81 | 64 | 0 | 32 | 35 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.82 | 0.00 | 0.41 | 0.45 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.309 | 0.025 | 0.000 | 0.207 | 0.291 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 213 | 222 | 145 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.68 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.423 | 0.247 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 501 | 438 | 380 | 623 | 693 | 597 | 0 | 1789 | 653 |
N.S. |
1 | 0.87 | 0.76 | 1.24 | 1.38 | 1.19 | 0.00 | 3.57 | 1.30 |
time (sec) |
N/A | 0.871 | 0.306 | 0.547 | 0.260 | 0.311 | 0.000 | 0.366 | 12.765 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 412 | 362 | 264 | 407 | 484 | 408 | 0 | 1185 | 438 |
N.S. |
1 | 0.88 | 0.64 | 0.99 | 1.17 | 0.99 | 0.00 | 2.88 | 1.06 |
time (sec) |
N/A | 0.716 | 0.201 | 0.550 | 0.258 | 0.305 | 0.000 | 0.338 | 12.400 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 321 | 286 | 169 | 237 | 309 | 256 | 0 | 704 | 279 |
N.S. |
1 | 0.89 | 0.53 | 0.74 | 0.96 | 0.80 | 0.00 | 2.19 | 0.87 |
time (sec) |
N/A | 0.551 | 0.133 | 0.549 | 0.233 | 0.308 | 0.000 | 0.318 | 12.290 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 209 | 189 | 96 | 113 | 168 | 141 | 0 | 346 | 152 |
N.S. |
1 | 0.90 | 0.46 | 0.54 | 0.80 | 0.67 | 0.00 | 1.66 | 0.73 |
time (sec) |
N/A | 0.360 | 0.079 | 0.536 | 0.222 | 0.301 | 0.000 | 0.308 | 11.996 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 109 | 110 | 54 | 51 | 65 | 73 | 0 | 142 | 85 |
N.S. |
1 | 1.01 | 0.50 | 0.47 | 0.60 | 0.67 | 0.00 | 1.30 | 0.78 |
time (sec) |
N/A | 0.241 | 0.021 | 0.521 | 0.221 | 0.294 | 0.000 | 0.280 | 11.914 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 139 | 139 | 140 | 153 | 0 | 511 | 0 | 284 | 0 |
N.S. |
1 | 1.00 | 1.01 | 1.10 | 0.00 | 3.68 | 0.00 | 2.04 | 0.00 |
time (sec) |
N/A | 0.368 | 0.156 | 0.552 | 0.000 | 0.302 | 0.000 | 0.409 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 170 | 170 | 154 | 337 | 0 | 896 | 0 | 469 | 0 |
N.S. |
1 | 1.00 | 0.91 | 1.98 | 0.00 | 5.27 | 0.00 | 2.76 | 0.00 |
time (sec) |
N/A | 0.414 | 0.444 | 0.560 | 0.000 | 0.318 | 0.000 | 0.406 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 261 | 252 | 200 | 663 | 0 | 1704 | 0 | 1071 | 0 |
N.S. |
1 | 0.97 | 0.77 | 2.54 | 0.00 | 6.53 | 0.00 | 4.10 | 0.00 |
time (sec) |
N/A | 0.521 | 0.828 | 0.583 | 0.000 | 0.351 | 0.000 | 0.527 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 351 | 332 | 279 | 1132 | 0 | 2736 | 0 | 1879 | 0 |
N.S. |
1 | 0.95 | 0.79 | 3.23 | 0.00 | 7.79 | 0.00 | 5.35 | 0.00 |
time (sec) |
N/A | 0.659 | 1.031 | 0.557 | 0.000 | 0.959 | 0.000 | 0.742 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 324 | 351 | 247 | 334 | 365 | 251 | 0 | 353 | 1768 |
N.S. |
1 | 1.08 | 0.76 | 1.03 | 1.13 | 0.77 | 0.00 | 1.09 | 5.46 |
time (sec) |
N/A | 1.268 | 0.905 | 0.603 | 0.290 | 0.318 | 0.000 | 0.314 | 39.014 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 166 | 177 | 132 | 199 | 171 | 134 | 0 | 159 | 897 |
N.S. |
1 | 1.07 | 0.80 | 1.20 | 1.03 | 0.81 | 0.00 | 0.96 | 5.40 |
time (sec) |
N/A | 0.574 | 0.523 | 0.532 | 0.292 | 0.335 | 0.000 | 0.288 | 27.554 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 63 | 65 | 64 | 117 | 57 | 67 | 0 | 60 | 232 |
N.S. |
1 | 1.03 | 1.02 | 1.86 | 0.90 | 1.06 | 0.00 | 0.95 | 3.68 |
time (sec) |
N/A | 0.242 | 0.019 | 0.459 | 0.286 | 0.301 | 0.000 | 0.283 | 16.600 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 282 | 282 | 154 | 1759 | 0 | 4313 | 0 | 681 | 33018 |
N.S. |
1 | 1.00 | 0.55 | 6.24 | 0.00 | 15.29 | 0.00 | 2.41 | 117.09 |
time (sec) |
N/A | 0.514 | 0.308 | 0.629 | 0.000 | 0.428 | 0.000 | 0.419 | 96.416 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | B | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 571 | 564 | 1548 | 41837 | 0 | 35403 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 2.71 | 73.27 | 0.00 | 62.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.028 | 2.668 | 1.015 | 0.000 | 33.260 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 276 | 294 | 244 | 567 | 371 | 376 | 0 | 736 | 0 |
N.S. |
1 | 1.07 | 0.88 | 2.05 | 1.34 | 1.36 | 0.00 | 2.67 | 0.00 |
time (sec) |
N/A | 1.019 | 0.937 | 0.615 | 0.318 | 0.308 | 0.000 | 0.357 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 135 | 140 | 144 | 346 | 176 | 204 | 0 | 391 | 0 |
N.S. |
1 | 1.04 | 1.07 | 2.56 | 1.30 | 1.51 | 0.00 | 2.90 | 0.00 |
time (sec) |
N/A | 0.419 | 0.513 | 0.622 | 0.299 | 0.293 | 0.000 | 0.316 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | B | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 40 | 40 | 57 | 151 | 61 | 101 | 0 | 186 | 0 |
N.S. |
1 | 1.00 | 1.42 | 3.78 | 1.52 | 2.52 | 0.00 | 4.65 | 0.00 |
time (sec) |
N/A | 0.215 | 0.331 | 0.453 | 0.281 | 0.306 | 0.000 | 0.295 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | B | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 443 | 425 | 456 | 11142 | 0 | 21628 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 1.03 | 25.15 | 0.00 | 48.82 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.720 | 0.562 | 0.613 | 0.000 | 6.566 | 0.000 | 0.000 | 0.000 |