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 | B | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 101 | 171 | 128 | 252 | 0 | 95 | 101 |
N.S. | 1 | 1.00 | 1.19 | 2.01 | 1.51 | 2.96 | 0.00 | 1.12 | 1.19 |
time (sec) |
N/A | 0.028 | 0.198 | 0.577 | 0.277 | 5.065 | 0.000 | 1.500 | 2.273 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 33 | 33 | 30 | 68 | 55 | 44 | 0 | 33 | 31 |
N.S. | 1 | 1.00 | 0.91 | 2.06 | 1.67 | 1.33 | 0.00 | 1.00 | 0.94 |
time (sec) |
N/A | 0.007 | 0.009 | 0.589 | 0.280 | 3.049 | 0.000 | 1.530 | 1.646 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 141 | 141 | 159 | 375 | 0 | 558 | 0 | 187 | -1 |
N.S. |
1 | 1.00 | 1.13 | 2.66 | 0.00 | 3.96 | 0.00 | 1.33 | -0.01 |
time (sec) |
N/A | 0.086 | 0.464 | 0.653 | 0.000 | 4.372 | 0.000 | 1.326 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 245 | 245 | 265 | 909 | 0 | 1249 | 0 | 1181 | -1 |
N.S. |
1 | 1.00 | 1.08 | 3.71 | 0.00 | 5.10 | 0.00 | 4.82 | -0.00 |
time (sec) |
N/A | 0.219 | 1.182 | 0.668 | 0.000 | 3.573 | 0.000 | 1.726 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 374 | 374 | 377 | 1582 | 0 | 2308 | 0 | 1095 | -1 |
N.S. |
1 | 1.00 | 1.01 | 4.23 | 0.00 | 6.17 | 0.00 | 2.93 | -0.00 |
time (sec) |
N/A | 0.414 | 11.042 | 0.733 | 0.000 | 4.436 | 0.000 | 1.405 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 341 | 341 | 326 | 912 | 777 | 976 | 0 | 370 | -1 |
N.S. | 1 | 1.00 | 0.96 | 2.67 | 2.28 | 2.86 | 0.00 | 1.09 | -0.00 |
time (sec) |
N/A | 0.294 | 0.928 | 0.676 | 0.297 | 3.367 | 0.000 | 2.032 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 220 | 220 | 251 | 625 | 541 | 677 | 0 | 289 | -1 |
N.S. | 1 | 1.00 | 1.14 | 2.84 | 2.46 | 3.08 | 0.00 | 1.31 | -0.00 |
time (sec) |
N/A | 0.130 | 0.717 | 0.699 | 0.286 | 3.747 | 0.000 | 1.678 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 149 | 363 | 346 | 196 | 0 | 176 | 190 |
N.S. | 1 | 1.00 | 1.62 | 3.95 | 3.76 | 2.13 | 0.00 | 1.91 | 2.07 |
time (sec) |
N/A | 0.034 | 0.579 | 0.709 | 0.272 | 3.504 | 0.000 | 1.430 | 1.908 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 111 | 111 | 107 | 224 | 217 | 153 | 0 | 132 | 134 |
N.S. | 1 | 1.00 | 0.96 | 2.02 | 1.95 | 1.38 | 0.00 | 1.19 | 1.21 |
time (sec) |
N/A | 0.061 | 0.252 | 0.570 | 0.271 | 3.398 | 0.000 | 1.747 | 1.733 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 70 | 70 | 72 | 121 | 130 | 101 | 0 | 82 | 76 |
N.S. | 1 | 1.00 | 1.03 | 1.73 | 1.86 | 1.44 | 0.00 | 1.17 | 1.09 |
time (sec) |
N/A | 0.014 | 0.014 | 0.540 | 0.271 | 2.722 | 0.000 | 1.400 | 1.629 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 287 | 287 | 341 | 720 | 0 | 1400 | 0 | 853 | -1 |
N.S. |
1 | 1.00 | 1.19 | 2.51 | 0.00 | 4.88 | 0.00 | 2.97 | -0.00 |
time (sec) |
N/A | 0.235 | 1.277 | 0.751 | 0.000 | 3.275 | 0.000 | 1.754 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 449 | 449 | 568 | 1658 | 0 | 2621 | 0 | 2413 | -1 |
N.S. |
1 | 1.00 | 1.27 | 3.69 | 0.00 | 5.84 | 0.00 | 5.37 | -0.00 |
time (sec) |
N/A | 0.475 | 2.496 | 0.678 | 0.000 | 5.014 | 0.000 | 2.103 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 126 | 126 | 113 | 113 | 121 | 261 | 683 | 1383 | 111 |
N.S. | 1 | 1.00 | 0.90 | 0.90 | 0.96 | 2.07 | 5.42 | 10.98 | 0.88 |
time (sec) |
N/A | 0.058 | 0.097 | 0.537 | 0.279 | 3.205 | 0.681 | 1.587 | 0.101 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 126 | 126 | 113 | 113 | 121 | 223 | 581 | 999 | 111 |
N.S. | 1 | 1.00 | 0.90 | 0.90 | 0.96 | 1.77 | 4.61 | 7.93 | 0.88 |
time (sec) |
N/A | 0.050 | 0.098 | 0.600 | 0.271 | 4.557 | 0.461 | 2.310 | 0.072 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 126 | 126 | 114 | 113 | 121 | 183 | 434 | 667 | 111 |
N.S. | 1 | 1.00 | 0.90 | 0.90 | 0.96 | 1.45 | 3.44 | 5.29 | 0.88 |
time (sec) |
N/A | 0.048 | 0.088 | 0.538 | 0.270 | 3.288 | 8.630 | 1.739 | 0.073 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 126 | 126 | 113 | 113 | 121 | 141 | 146 | 386 | 111 |
N.S. | 1 | 1.00 | 0.90 | 0.90 | 0.96 | 1.12 | 1.16 | 3.06 | 0.88 |
time (sec) |
N/A | 0.046 | 0.079 | 0.534 | 0.273 | 4.662 | 1.874 | 1.497 | 0.070 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 124 | 124 | 113 | 113 | 121 | 103 | 430 | 167 | 111 |
N.S. | 1 | 1.00 | 0.91 | 0.91 | 0.98 | 0.83 | 3.47 | 1.35 | 0.90 |
time (sec) |
N/A | 0.047 | 0.076 | 0.590 | 0.283 | 4.086 | 31.926 | 1.097 | 0.072 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 122 | 122 | 110 | 141 | 127 | 111 | 126 | 167 | 124 |
N.S. | 1 | 1.00 | 0.90 | 1.16 | 1.04 | 0.91 | 1.03 | 1.37 | 1.02 |
time (sec) |
N/A | 0.046 | 0.080 | 0.591 | 0.276 | 3.698 | 9.796 | 2.758 | 1.553 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 122 | 122 | 110 | 122 | 123 | 120 | 539 | 156 | 137 |
N.S. | 1 | 1.00 | 0.90 | 1.00 | 1.01 | 0.98 | 4.42 | 1.28 | 1.12 |
time (sec) |
N/A | 0.044 | 0.085 | 0.569 | 0.268 | 3.710 | 0.515 | 1.347 | 0.086 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 122 | 122 | 111 | 110 | 124 | 132 | 784 | 152 | 120 |
N.S. | 1 | 1.00 | 0.91 | 0.90 | 1.02 | 1.08 | 6.43 | 1.25 | 0.98 |
time (sec) |
N/A | 0.047 | 0.107 | 0.619 | 0.281 | 3.510 | 0.727 | 1.624 | 0.092 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 267 | 267 | 273 | 278 | 308 | 545 | 1352 | 2710 | 254 |
N.S. | 1 | 1.00 | 1.02 | 1.04 | 1.15 | 2.04 | 5.06 | 10.15 | 0.95 |
time (sec) |
N/A | 0.136 | 0.200 | 0.601 | 0.282 | 3.952 | 0.969 | 1.048 | 1.618 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 267 | 267 | 273 | 278 | 308 | 478 | 1556 | 2007 | 254 |
N.S. | 1 | 1.00 | 1.02 | 1.04 | 1.15 | 1.79 | 5.83 | 7.52 | 0.95 |
time (sec) |
N/A | 0.106 | 0.197 | 0.585 | 0.278 | 3.865 | 27.798 | 0.996 | 1.619 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 267 | 267 | 272 | 278 | 308 | 410 | 937 | 1382 | 254 |
N.S. | 1 | 1.00 | 1.02 | 1.04 | 1.15 | 1.54 | 3.51 | 5.18 | 0.95 |
time (sec) |
N/A | 0.107 | 0.186 | 0.594 | 0.293 | 5.480 | 16.589 | 1.249 | 0.061 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 267 | 267 | 273 | 278 | 308 | 344 | 377 | 835 | 254 |
N.S. | 1 | 1.00 | 1.02 | 1.04 | 1.15 | 1.29 | 1.41 | 3.13 | 0.95 |
time (sec) |
N/A | 0.107 | 0.180 | 0.669 | 0.282 | 4.244 | 3.183 | 1.738 | 1.527 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 265 | 265 | 273 | 277 | 308 | 277 | 944 | 378 | 254 |
N.S. | 1 | 1.00 | 1.03 | 1.05 | 1.16 | 1.05 | 3.56 | 1.43 | 0.96 |
time (sec) |
N/A | 0.106 | 0.167 | 0.595 | 0.277 | 3.302 | 52.883 | 0.997 | 1.507 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 263 | 263 | 273 | 405 | 314 | 285 | 321 | 441 | 296 |
N.S. | 1 | 1.00 | 1.04 | 1.54 | 1.19 | 1.08 | 1.22 | 1.68 | 1.13 |
time (sec) |
N/A | 0.107 | 0.194 | 0.661 | 0.275 | 2.469 | 25.454 | 1.205 | 1.527 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 263 | 263 | 271 | 367 | 312 | 296 | 292 | 427 | 316 |
N.S. | 1 | 1.00 | 1.03 | 1.40 | 1.19 | 1.13 | 1.11 | 1.62 | 1.20 |
time (sec) |
N/A | 0.102 | 0.210 | 0.700 | 0.291 | 2.538 | 29.667 | 0.936 | 0.073 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 263 | 263 | 272 | 335 | 313 | 304 | 1833 | 427 | 312 |
N.S. | 1 | 1.00 | 1.03 | 1.27 | 1.19 | 1.16 | 6.97 | 1.62 | 1.19 |
time (sec) |
N/A | 0.102 | 0.212 | 0.628 | 0.272 | 3.259 | 0.839 | 0.783 | 1.560 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 228 | 228 | 239 | 441 | 0 | 1454 | 298 | 476 | 2500 |
N.S. |
1 | 1.00 | 1.05 | 1.93 | 0.00 | 6.38 | 1.31 | 2.09 | 10.96 |
time (sec) |
N/A | 0.379 | 0.328 | 0.669 | 0.000 | 33.615 | 86.221 | 1.132 | 2.358 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 173 | 173 | 167 | 285 | 0 | 1010 | 199 | 316 | 2500 |
N.S. |
1 | 1.00 | 0.97 | 1.65 | 0.00 | 5.84 | 1.15 | 1.83 | 14.45 |
time (sec) |
N/A | 0.254 | 0.230 | 0.687 | 0.000 | 12.218 | 54.558 | 1.414 | 2.189 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 131 | 131 | 123 | 171 | 0 | 678 | 134 | 197 | 2500 |
N.S. |
1 | 1.00 | 0.94 | 1.31 | 0.00 | 5.18 | 1.02 | 1.50 | 19.08 |
time (sec) |
N/A | 0.194 | 0.161 | 0.603 | 0.000 | 5.753 | 30.129 | 1.012 | 0.586 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 101 | 103 | 0 | 478 | 104 | 116 | 2368 |
N.S. |
1 | 1.00 | 1.00 | 1.02 | 0.00 | 4.73 | 1.03 | 1.15 | 23.45 |
time (sec) |
N/A | 0.120 | 0.209 | 0.607 | 0.000 | 4.883 | 6.546 | 0.890 | 1.910 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 86 | 86 | 84 | 70 | 0 | 521 | 87 | 79 | 1130 |
N.S. |
1 | 1.00 | 0.98 | 0.81 | 0.00 | 6.06 | 1.01 | 0.92 | 13.14 |
time (sec) |
N/A | 0.119 | 0.184 | 0.692 | 0.000 | 3.752 | 22.640 | 0.867 | 1.918 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 118 | 111 | 0 | 875 | 107 | 129 | 2500 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 0.00 | 7.42 | 0.91 | 1.09 | 21.19 |
time (sec) |
N/A | 0.197 | 0.343 | 0.614 | 0.000 | 6.440 | 21.949 | 1.351 | 3.123 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 164 | 164 | 159 | 156 | 0 | 1737 | 160 | 217 | 2500 |
N.S. |
1 | 1.00 | 0.97 | 0.95 | 0.00 | 10.59 | 0.98 | 1.32 | 15.24 |
time (sec) |
N/A | 0.227 | 0.413 | 0.604 | 0.000 | 7.737 | 26.515 | 1.014 | 3.918 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 225 | 225 | 246 | 215 | 0 | 3053 | 228 | 386 | 2500 |
N.S. |
1 | 1.00 | 1.09 | 0.96 | 0.00 | 13.57 | 1.01 | 1.72 | 11.11 |
time (sec) |
N/A | 0.310 | 0.619 | 0.681 | 0.000 | 26.171 | 30.867 | 0.880 | 4.722 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 301 | 301 | 363 | 290 | 0 | 4769 | 311 | 615 | 2500 |
N.S. |
1 | 1.00 | 1.21 | 0.96 | 0.00 | 15.84 | 1.03 | 2.04 | 8.31 |
time (sec) |
N/A | 0.392 | 0.906 | 0.607 | 0.000 | 63.122 | 37.845 | 0.896 | 5.646 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | F(-1) | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 386 | 386 | 336 | 548 | 0 | 0 | 0 | 846 | 2500 |
N.S. |
1 | 1.00 | 0.87 | 1.42 | 0.00 | 0.00 | 0.00 | 2.19 | 6.48 |
time (sec) |
N/A | 0.789 | 0.919 | 0.684 | 0.000 | 0.000 | 0.000 | 0.825 | 6.713 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 292 | 292 | 262 | 405 | 0 | 2145 | 0 | 639 | 2500 |
N.S. |
1 | 1.00 | 0.90 | 1.39 | 0.00 | 7.35 | 0.00 | 2.19 | 8.56 |
time (sec) |
N/A | 0.591 | 0.770 | 0.758 | 0.000 | 149.638 | 0.000 | 0.943 | 3.293 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 225 | 225 | 205 | 302 | 0 | 1634 | 0 | 468 | 2500 |
N.S. |
1 | 1.00 | 0.91 | 1.34 | 0.00 | 7.26 | 0.00 | 2.08 | 11.11 |
time (sec) |
N/A | 0.382 | 0.887 | 0.661 | 0.000 | 17.836 | 0.000 | 1.483 | 2.700 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 181 | 181 | 172 | 183 | 0 | 1182 | 2048 | 334 | 2500 |
N.S. |
1 | 1.00 | 0.95 | 1.01 | 0.00 | 6.53 | 11.31 | 1.85 | 13.81 |
time (sec) |
N/A | 0.217 | 0.679 | 0.711 | 0.000 | 4.561 | 208.143 | 1.494 | 2.608 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 158 | 158 | 151 | 172 | 0 | 1638 | 1431 | 234 | 2558 |
N.S. |
1 | 1.00 | 0.96 | 1.09 | 0.00 | 10.37 | 9.06 | 1.48 | 16.19 |
time (sec) |
N/A | 0.209 | 0.604 | 0.744 | 0.000 | 4.733 | 41.805 | 0.952 | 2.561 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 188 | 188 | 183 | 192 | 0 | 1596 | 0 | 315 | 2500 |
N.S. |
1 | 1.00 | 0.97 | 1.02 | 0.00 | 8.49 | 0.00 | 1.68 | 13.30 |
time (sec) |
N/A | 0.230 | 1.058 | 0.651 | 0.000 | 9.221 | 0.000 | 1.580 | 4.278 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 254 | 254 | 263 | 219 | 0 | 3340 | 0 | 500 | 2500 |
N.S. |
1 | 1.00 | 1.04 | 0.86 | 0.00 | 13.15 | 0.00 | 1.97 | 9.84 |
time (sec) |
N/A | 0.389 | 1.031 | 0.736 | 0.000 | 36.456 | 0.000 | 1.593 | 6.076 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 344 | 344 | 385 | 267 | 0 | 5737 | 0 | 603 | 2500 |
N.S. |
1 | 1.00 | 1.12 | 0.78 | 0.00 | 16.68 | 0.00 | 1.75 | 7.27 |
time (sec) |
N/A | 0.621 | 1.546 | 0.779 | 0.000 | 106.654 | 0.000 | 1.267 | 6.095 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 457 | 457 | 553 | 347 | 0 | 8653 | 0 | 867 | 2500 |
N.S. |
1 | 1.00 | 1.21 | 0.76 | 0.00 | 18.93 | 0.00 | 1.90 | 5.47 |
time (sec) |
N/A | 0.865 | 2.109 | 0.706 | 0.000 | 274.957 | 0.000 | 1.274 | 7.157 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 461 | 461 | 441 | 665 | 0 | 4124 | 0 | 1245 | 2500 |
N.S. |
1 | 1.00 | 0.96 | 1.44 | 0.00 | 8.95 | 0.00 | 2.70 | 5.42 |
time (sec) |
N/A | 0.774 | 1.683 | 0.709 | 0.000 | 272.758 | 0.000 | 1.034 | 5.051 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 363 | 363 | 382 | 399 | 0 | 3494 | 0 | 1047 | 2500 |
N.S. |
1 | 1.00 | 1.05 | 1.10 | 0.00 | 9.63 | 0.00 | 2.88 | 6.89 |
time (sec) |
N/A | 0.541 | 2.167 | 0.779 | 0.000 | 67.097 | 0.000 | 1.291 | 6.397 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 344 | 344 | 334 | 401 | 0 | 2846 | 0 | 841 | 2500 |
N.S. |
1 | 1.00 | 0.97 | 1.17 | 0.00 | 8.27 | 0.00 | 2.44 | 7.27 |
time (sec) |
N/A | 0.468 | 1.632 | 0.685 | 0.000 | 12.594 | 0.000 | 1.411 | 3.852 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 346 | 346 | 279 | 386 | 0 | 3603 | 0 | 661 | 2500 |
N.S. |
1 | 1.00 | 0.81 | 1.12 | 0.00 | 10.41 | 0.00 | 1.91 | 7.23 |
time (sec) |
N/A | 0.550 | 1.662 | 0.681 | 0.000 | 6.347 | 0.000 | 1.076 | 4.465 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 317 | 317 | 342 | 362 | 0 | 3508 | 4918 | 841 | 2500 |
N.S. |
1 | 1.00 | 1.08 | 1.14 | 0.00 | 11.07 | 15.51 | 2.65 | 7.89 |
time (sec) |
N/A | 0.475 | 2.295 | 0.794 | 0.000 | 23.064 | 127.547 | 1.486 | 5.716 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 394 | 394 | 416 | 400 | 0 | 4414 | 0 | 1046 | 2500 |
N.S. |
1 | 1.00 | 1.06 | 1.02 | 0.00 | 11.20 | 0.00 | 2.65 | 6.35 |
time (sec) |
N/A | 0.604 | 2.743 | 0.694 | 0.000 | 68.619 | 0.000 | 1.559 | 7.110 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 506 | 506 | 622 | 432 | 0 | 7400 | 0 | 1313 | 2500 |
N.S. |
1 | 1.00 | 1.23 | 0.85 | 0.00 | 14.62 | 0.00 | 2.59 | 4.94 |
time (sec) |
N/A | 0.819 | 2.743 | 0.721 | 0.000 | 66.575 | 0.000 | 1.126 | 9.527 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | F(-1) | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 644 | 644 | 803 | 482 | 0 | 0 | 0 | 1600 | 2500 |
N.S. |
1 | 1.00 | 1.25 | 0.75 | 0.00 | 0.00 | 0.00 | 2.48 | 3.88 |
time (sec) |
N/A | 1.130 | 6.021 | 1.227 | 0.000 | 0.000 | 0.000 | 1.580 | 6.933 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 433 | 433 | 461 | 1526 | 0 | 556 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.06 | 3.52 | 0.00 | 1.28 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.395 | 14.600 | 0.684 | 0.000 | 1.264 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 318 | 318 | 344 | 1129 | 0 | 450 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.08 | 3.55 | 0.00 | 1.42 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.218 | 13.705 | 0.636 | 0.000 | 0.790 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 283 | 283 | 269 | 804 | 0 | 480 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.95 | 2.84 | 0.00 | 1.70 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.184 | 12.216 | 0.721 | 0.000 | 1.119 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 346 | 346 | 346 | 1959 | 0 | 720 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 5.66 | 0.00 | 2.08 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.251 | 15.504 | 0.654 | 0.000 | 0.680 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 494 | 494 | 491 | 3831 | 0 | 1239 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.99 | 7.76 | 0.00 | 2.51 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.425 | 18.056 | 0.660 | 0.000 | 0.816 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 574 | 574 | 630 | 2112 | 0 | 682 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.10 | 3.68 | 0.00 | 1.19 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.517 | 20.393 | 0.692 | 0.000 | 1.034 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 449 | 449 | 514 | 1610 | 0 | 811 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.14 | 3.59 | 0.00 | 1.81 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.386 | 22.466 | 0.622 | 0.000 | 1.097 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 413 | 413 | 436 | 2367 | 0 | 843 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.06 | 5.73 | 0.00 | 2.04 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.338 | 21.494 | 0.681 | 0.000 | 1.574 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 516 | 516 | 530 | 4120 | 0 | 1229 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.03 | 7.98 | 0.00 | 2.38 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.448 | 22.058 | 0.692 | 0.000 | 1.119 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 460 | 460 | 479 | 1610 | 0 | 553 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.04 | 3.50 | 0.00 | 1.20 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.515 | 19.579 | 0.692 | 0.000 | 0.883 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 339 | 339 | 356 | 1144 | 0 | 450 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.05 | 3.37 | 0.00 | 1.33 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.317 | 16.448 | 0.626 | 0.000 | 0.871 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 254 | 254 | 263 | 629 | 0 | 371 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.04 | 2.48 | 0.00 | 1.46 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.178 | 9.332 | 0.628 | 0.000 | 1.315 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 204 | 204 | 209 | 216 | 0 | 294 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.02 | 1.06 | 0.00 | 1.44 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.082 | 10.844 | 0.696 | 0.000 | 1.333 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 262 | 262 | 226 | 547 | 0 | 434 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.86 | 2.09 | 0.00 | 1.66 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.160 | 14.850 | 0.634 | 0.000 | 0.478 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 369 | 369 | 347 | 1635 | 0 | 758 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.94 | 4.43 | 0.00 | 2.05 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.315 | 21.083 | 0.701 | 0.000 | 0.829 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 510 | 510 | 506 | 3863 | 0 | 1322 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.99 | 7.57 | 0.00 | 2.59 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.525 | 22.055 | 0.716 | 0.000 | 0.631 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 527 | 527 | 493 | 1766 | 0 | 915 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.94 | 3.35 | 0.00 | 1.74 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.585 | 22.817 | 0.633 | 0.000 | 0.584 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 399 | 399 | 391 | 1324 | 0 | 739 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.98 | 3.32 | 0.00 | 1.85 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.352 | 22.157 | 0.652 | 0.000 | 1.107 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 295 | 295 | 302 | 898 | 0 | 579 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.02 | 3.04 | 0.00 | 1.96 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.197 | 18.799 | 0.726 | 0.000 | 1.301 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 253 | 253 | 210 | 610 | 0 | 446 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.83 | 2.41 | 0.00 | 1.76 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.144 | 10.227 | 0.638 | 0.000 | 0.532 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 295 | 295 | 233 | 814 | 0 | 553 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.79 | 2.76 | 0.00 | 1.87 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.183 | 17.162 | 0.627 | 0.000 | 0.983 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 415 | 415 | 367 | 1079 | 0 | 1031 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.88 | 2.60 | 0.00 | 2.48 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.364 | 21.267 | 0.720 | 0.000 | 0.936 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 570 | 570 | 506 | 3024 | 0 | 1765 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.89 | 5.31 | 0.00 | 3.10 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.662 | 23.007 | 0.653 | 0.000 | 1.137 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 524 | 524 | 530 | 3247 | 0 | 1273 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.01 | 6.20 | 0.00 | 2.43 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.463 | 23.140 | 0.710 | 0.000 | 1.019 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 454 | 454 | 452 | 2644 | 0 | 1037 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.00 | 5.82 | 0.00 | 2.28 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.366 | 22.448 | 0.734 | 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 | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 410 | 410 | 378 | 2044 | 0 | 809 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.92 | 4.99 | 0.00 | 1.97 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.379 | 20.946 | 0.677 | 0.000 | 0.356 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 420 | 420 | 441 | 2503 | 0 | 1012 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.05 | 5.96 | 0.00 | 2.41 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.369 | 15.655 | 0.700 | 0.000 | 0.406 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 543 | 543 | 514 | 3140 | 0 | 1325 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.95 | 5.78 | 0.00 | 2.44 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.619 | 22.899 | 0.728 | 0.000 | 0.318 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 706 | 706 | 628 | 4001 | 0 | 2222 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.89 | 5.67 | 0.00 | 3.15 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.246 | 23.775 | 0.668 | 0.000 | 1.525 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 108 | 108 | 233 | 247 | 225 | 243 | 287 | 256 | 231 |
N.S. | 1 | 1.00 | 2.16 | 2.29 | 2.08 | 2.25 | 2.66 | 2.37 | 2.14 |
time (sec) |
N/A | 0.127 | 0.043 | 0.630 | 0.272 | 3.580 | 0.027 | 4.490 | 0.123 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 108 | 108 | 194 | 199 | 186 | 198 | 226 | 207 | 185 |
N.S. | 1 | 1.00 | 1.80 | 1.84 | 1.72 | 1.83 | 2.09 | 1.92 | 1.71 |
time (sec) |
N/A | 0.095 | 0.035 | 0.628 | 0.289 | 3.108 | 0.022 | 2.030 | 0.093 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 108 | 108 | 150 | 151 | 144 | 153 | 173 | 160 | 141 |
N.S. | 1 | 1.00 | 1.39 | 1.40 | 1.33 | 1.42 | 1.60 | 1.48 | 1.31 |
time (sec) |
N/A | 0.079 | 0.028 | 0.569 | 0.296 | 2.773 | 0.019 | 1.565 | 0.064 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 108 | 108 | 106 | 103 | 102 | 108 | 119 | 113 | 98 |
N.S. | 1 | 1.00 | 0.98 | 0.95 | 0.94 | 1.00 | 1.10 | 1.05 | 0.91 |
time (sec) |
N/A | 0.061 | 0.020 | 0.569 | 0.271 | 2.630 | 0.023 | 2.386 | 0.041 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 62 | 55 | 60 | 63 | 66 | 66 | 55 |
N.S. | 1 | 1.00 | 1.00 | 0.89 | 0.97 | 1.02 | 1.06 | 1.06 | 0.89 |
time (sec) |
N/A | 0.041 | 0.015 | 0.187 | 0.290 | 3.320 | 0.017 | 1.070 | 1.667 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 32 | 27 | 26 | 26 | 29 | 26 | 26 |
N.S. | 1 | 1.00 | 1.03 | 0.87 | 0.84 | 0.84 | 0.94 | 0.84 | 0.84 |
time (sec) |
N/A | 0.005 | 0.002 | 0.085 | 0.267 | 3.300 | 0.013 | 1.683 | 0.041 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 86 | 86 | 80 | 98 | 94 | 93 | 82 | 97 | 100 |
N.S. | 1 | 1.00 | 0.93 | 1.14 | 1.09 | 1.08 | 0.95 | 1.13 | 1.16 |
time (sec) |
N/A | 0.052 | 0.031 | 0.559 | 0.280 | 2.442 | 0.194 | 1.381 | 1.684 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 86 | 95 | 99 | 143 | 104 | 151 | 105 |
N.S. | 1 | 1.00 | 0.97 | 1.07 | 1.11 | 1.61 | 1.17 | 1.70 | 1.18 |
time (sec) |
N/A | 0.055 | 0.045 | 0.586 | 0.268 | 2.892 | 0.373 | 1.376 | 0.076 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 94 | 94 | 88 | 101 | 106 | 158 | 117 | 96 | 111 |
N.S. | 1 | 1.00 | 0.94 | 1.07 | 1.13 | 1.68 | 1.24 | 1.02 | 1.18 |
time (sec) |
N/A | 0.049 | 0.056 | 0.548 | 0.269 | 3.295 | 0.828 | 1.851 | 1.764 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 98 | 108 | 121 | 148 | 138 | 103 | 122 |
N.S. | 1 | 1.00 | 0.97 | 1.07 | 1.20 | 1.47 | 1.37 | 1.02 | 1.21 |
time (sec) |
N/A | 0.052 | 0.034 | 0.530 | 0.275 | 3.169 | 2.487 | 1.431 | 0.095 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 106 | 106 | 87 | 110 | 122 | 118 | 150 | 151 | 128 |
N.S. | 1 | 1.00 | 0.82 | 1.04 | 1.15 | 1.11 | 1.42 | 1.42 | 1.21 |
time (sec) |
N/A | 0.049 | 0.033 | 0.585 | 0.281 | 2.614 | 3.695 | 1.466 | 1.711 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 108 | 108 | 90 | 110 | 137 | 130 | 165 | 95 | 145 |
N.S. | 1 | 1.00 | 0.83 | 1.02 | 1.27 | 1.20 | 1.53 | 0.88 | 1.34 |
time (sec) |
N/A | 0.047 | 0.030 | 0.539 | 0.277 | 2.922 | 6.028 | 1.275 | 0.075 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 108 | 108 | 87 | 110 | 141 | 138 | 173 | 93 | 150 |
N.S. | 1 | 1.00 | 0.81 | 1.02 | 1.31 | 1.28 | 1.60 | 0.86 | 1.39 |
time (sec) |
N/A | 0.049 | 0.031 | 0.586 | 0.294 | 3.168 | 12.179 | 1.188 | 1.781 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 206 | 206 | 390 | 402 | 392 | 413 | 495 | 447 | 374 |
N.S. | 1 | 1.00 | 1.89 | 1.95 | 1.90 | 2.00 | 2.40 | 2.17 | 1.82 |
time (sec) |
N/A | 0.274 | 0.072 | 0.723 | 0.280 | 2.418 | 0.068 | 1.481 | 1.863 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 206 | 206 | 314 | 327 | 320 | 338 | 398 | 365 | 298 |
N.S. | 1 | 1.00 | 1.52 | 1.59 | 1.55 | 1.64 | 1.93 | 1.77 | 1.45 |
time (sec) |
N/A | 0.189 | 0.059 | 0.634 | 0.282 | 3.650 | 0.083 | 1.193 | 0.128 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 206 | 206 | 244 | 252 | 254 | 263 | 303 | 281 | 229 |
N.S. | 1 | 1.00 | 1.18 | 1.22 | 1.23 | 1.28 | 1.47 | 1.36 | 1.11 |
time (sec) |
N/A | 0.147 | 0.045 | 0.689 | 0.301 | 3.047 | 0.067 | 1.028 | 1.753 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 206 | 206 | 174 | 177 | 184 | 188 | 211 | 200 | 168 |
N.S. | 1 | 1.00 | 0.84 | 0.86 | 0.89 | 0.91 | 1.02 | 0.97 | 0.82 |
time (sec) |
N/A | 0.117 | 0.031 | 0.719 | 0.274 | 3.783 | 0.038 | 1.232 | 1.731 |