Detailed conclusion table per each integral is given by the table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given as F.
In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 218 | 214 | 813 | 451 | 0 | 474 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 3.73 | 2.07 | 0.00 | 2.17 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.284 | 10.880 | 3.568 | 0.000 | 0.115 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 249 | 241 | 573 | 465 | 0 | 487 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 2.30 | 1.87 | 0.00 | 1.96 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.460 | 9.436 | 3.759 | 0.000 | 0.147 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 290 | 276 | 623 | 479 | 0 | 500 | 0 | 0 | 0 |
N.S. |
1 | 0.95 | 2.15 | 1.65 | 0.00 | 1.72 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.537 | 12.167 | 4.111 | 0.000 | 0.137 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 213 | 241 | 124 | 113 | 659 | 115 | 0 | 0 | 581 |
N.S. |
1 | 1.13 | 0.58 | 0.53 | 3.09 | 0.54 | 0.00 | 0.00 | 2.73 |
time (sec) |
N/A | 1.266 | 0.776 | 1.246 | 0.405 | 0.285 | 0.000 | 0.000 | 8.076 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 168 | 198 | 101 | 93 | 567 | 97 | 0 | 0 | 441 |
N.S. |
1 | 1.18 | 0.60 | 0.55 | 3.38 | 0.58 | 0.00 | 0.00 | 2.62 |
time (sec) |
N/A | 1.034 | 0.602 | 1.155 | 0.371 | 0.269 | 0.000 | 0.000 | 6.417 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 123 | 156 | 73 | 75 | 474 | 80 | 0 | 0 | 172 |
N.S. |
1 | 1.27 | 0.59 | 0.61 | 3.85 | 0.65 | 0.00 | 0.00 | 1.40 |
time (sec) |
N/A | 0.849 | 0.355 | 1.125 | 0.381 | 0.267 | 0.000 | 0.000 | 2.658 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 136 | 145 | 90 | 134 | 1360 | 120 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.66 | 0.99 | 10.00 | 0.88 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.833 | 0.275 | 1.169 | 0.567 | 0.310 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 137 | 145 | 100 | 167 | 890 | 102 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.73 | 1.22 | 6.50 | 0.74 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.863 | 0.296 | 2.266 | 0.742 | 0.284 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 144 | 149 | 118 | 184 | 1207 | 122 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.82 | 1.28 | 8.38 | 0.85 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.842 | 0.366 | 2.431 | 0.754 | 0.303 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 189 | 193 | 132 | 242 | 2713 | 140 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.70 | 1.28 | 14.35 | 0.74 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.038 | 0.657 | 2.372 | 0.729 | 0.321 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 234 | 236 | 149 | 310 | 7700 | 157 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.64 | 1.32 | 32.91 | 0.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.242 | 1.030 | 2.296 | 0.870 | 0.330 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 266 | 295 | 146 | 134 | 712 | 138 | 0 | 0 | 387 |
N.S. |
1 | 1.11 | 0.55 | 0.50 | 2.68 | 0.52 | 0.00 | 0.00 | 1.45 |
time (sec) |
N/A | 1.632 | 0.786 | 1.464 | 0.500 | 0.260 | 0.000 | 0.000 | 7.419 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 219 | 252 | 123 | 114 | 619 | 119 | 0 | 0 | 320 |
N.S. |
1 | 1.15 | 0.56 | 0.52 | 2.83 | 0.54 | 0.00 | 0.00 | 1.46 |
time (sec) |
N/A | 1.408 | 0.826 | 1.303 | 0.501 | 0.262 | 0.000 | 0.000 | 7.028 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 172 | 208 | 102 | 94 | 527 | 100 | 0 | 0 | 299 |
N.S. |
1 | 1.21 | 0.59 | 0.55 | 3.06 | 0.58 | 0.00 | 0.00 | 1.74 |
time (sec) |
N/A | 1.227 | 0.622 | 1.288 | 0.834 | 0.274 | 0.000 | 0.000 | 7.222 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 183 | 190 | 121 | 217 | 1700 | 146 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.66 | 1.19 | 9.29 | 0.80 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.184 | 0.792 | 1.370 | 0.614 | 0.282 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 181 | 190 | 116 | 201 | 1393 | 138 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.64 | 1.11 | 7.70 | 0.76 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.202 | 0.568 | 2.785 | 0.543 | 0.285 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-1) | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 195 | 203 | 119 | 293 | 0 | 132 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.61 | 1.50 | 0.00 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.230 | 0.505 | 2.822 | 0.000 | 0.303 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 191 | 202 | 133 | 249 | 2746 | 147 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.70 | 1.30 | 14.38 | 0.77 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.223 | 0.748 | 2.620 | 0.958 | 0.324 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 238 | 244 | 148 | 313 | 7999 | 163 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.62 | 1.32 | 33.61 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.429 | 1.162 | 2.777 | 1.618 | 0.367 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 285 | 290 | 167 | 381 | 4470 | 183 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.59 | 1.34 | 15.68 | 0.64 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.657 | 2.023 | 2.529 | 0.835 | 0.365 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 313 | 347 | 171 | 156 | 763 | 170 | 0 | 0 | 897 |
N.S. |
1 | 1.11 | 0.55 | 0.50 | 2.44 | 0.54 | 0.00 | 0.00 | 2.87 |
time (sec) |
N/A | 2.077 | 1.421 | 0.550 | 0.373 | 0.268 | 0.000 | 0.000 | 8.578 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 266 | 300 | 149 | 136 | 671 | 148 | 0 | 0 | 751 |
N.S. |
1 | 1.13 | 0.56 | 0.51 | 2.52 | 0.56 | 0.00 | 0.00 | 2.82 |
time (sec) |
N/A | 1.781 | 1.049 | 0.454 | 0.462 | 0.268 | 0.000 | 0.000 | 7.351 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 219 | 256 | 127 | 116 | 579 | 129 | 0 | 0 | 721 |
N.S. |
1 | 1.17 | 0.58 | 0.53 | 2.64 | 0.59 | 0.00 | 0.00 | 3.29 |
time (sec) |
N/A | 1.562 | 0.958 | 0.433 | 0.542 | 0.275 | 0.000 | 0.000 | 7.192 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 230 | 242 | 151 | 254 | 2343 | 177 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.66 | 1.10 | 10.19 | 0.77 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.477 | 1.498 | 0.470 | 0.769 | 0.304 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 230 | 242 | 141 | 237 | 1673 | 172 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.61 | 1.03 | 7.27 | 0.75 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.579 | 1.097 | 0.540 | 0.548 | 0.297 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-1) | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 238 | 248 | 141 | 334 | 0 | 174 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.59 | 1.40 | 0.00 | 0.73 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.555 | 0.894 | 1.053 | 0.000 | 0.312 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-1) | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 242 | 256 | 142 | 327 | 0 | 163 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.59 | 1.35 | 0.00 | 0.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.554 | 0.842 | 2.695 | 0.000 | 0.331 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 238 | 254 | 151 | 321 | 8555 | 177 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.63 | 1.35 | 35.95 | 0.74 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.522 | 1.383 | 2.883 | 0.968 | 0.335 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 285 | 299 | 168 | 387 | 4556 | 197 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.59 | 1.36 | 15.99 | 0.69 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.793 | 2.445 | 2.666 | 0.908 | 0.369 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 332 | 336 | 190 | 455 | 42534 | 217 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.57 | 1.37 | 128.11 | 0.65 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.068 | 3.862 | 2.971 | 3.180 | 0.349 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 289 | 330 | 271 | 385 | 0 | 190 | 0 | 0 | 0 |
N.S. |
1 | 1.14 | 0.94 | 1.33 | 0.00 | 0.66 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.956 | 10.258 | 1.233 | 0.000 | 0.300 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F(-1) | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 244 | 275 | 0 | 345 | 0 | 173 | 0 | 0 | 0 |
N.S. |
1 | 1.13 | 0.00 | 1.41 | 0.00 | 0.71 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.546 | 0.000 | 1.378 | 0.000 | 0.302 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 201 | 220 | 1717 | 305 | 0 | 156 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 8.54 | 1.52 | 0.00 | 0.78 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.184 | 7.962 | 1.250 | 0.000 | 0.311 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 156 | 165 | 576 | 245 | 0 | 135 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 3.69 | 1.57 | 0.00 | 0.87 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.895 | 6.898 | 1.320 | 0.000 | 0.289 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 175 | 161 | 251 | 242 | 0 | 156 | 0 | 0 | 0 |
N.S. |
1 | 0.92 | 1.43 | 1.38 | 0.00 | 0.89 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.989 | 2.486 | 1.496 | 0.000 | 1.024 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 173 | 163 | 124 | 169 | 0 | 153 | 0 | 0 | 0 |
N.S. |
1 | 0.94 | 0.72 | 0.98 | 0.00 | 0.88 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.987 | 0.238 | 3.818 | 0.000 | 1.103 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 223 | 217 | 496 | 234 | 0 | 186 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 2.22 | 1.05 | 0.00 | 0.83 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.314 | 1.681 | 2.937 | 0.000 | 2.244 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | A | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 266 | 272 | 439 | 304 | 0 | 203 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 1.65 | 1.14 | 0.00 | 0.76 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.719 | 1.976 | 2.931 | 0.000 | 2.250 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-1) | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 315 | 342 | 3122 | 477 | 0 | 231 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 9.91 | 1.51 | 0.00 | 0.73 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.981 | 8.315 | 1.247 | 0.000 | 0.305 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-1) | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 268 | 283 | 2281 | 437 | 0 | 214 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 8.51 | 1.63 | 0.00 | 0.80 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.612 | 7.251 | 1.372 | 0.000 | 0.319 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 221 | 232 | 1055 | 397 | 0 | 193 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 4.77 | 1.80 | 0.00 | 0.87 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.243 | 6.697 | 1.333 | 0.000 | 0.301 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 172 | 175 | 460 | 352 | 0 | 161 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 2.67 | 2.05 | 0.00 | 0.94 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.932 | 3.313 | 1.313 | 0.000 | 0.283 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 185 | 171 | 245 | 288 | 0 | 207 | 0 | 0 | 0 |
N.S. |
1 | 0.92 | 1.32 | 1.56 | 0.00 | 1.12 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.037 | 2.485 | 1.322 | 0.000 | 3.012 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 228 | 215 | 251 | 319 | 0 | 222 | 0 | 0 | 0 |
N.S. |
1 | 0.94 | 1.10 | 1.40 | 0.00 | 0.97 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.359 | 2.083 | 2.803 | 0.000 | 2.944 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 285 | 278 | 385 | 424 | 0 | 258 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 1.35 | 1.49 | 0.00 | 0.91 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.789 | 5.105 | 3.065 | 0.000 | 5.736 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-1) | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 315 | 342 | 261 | 569 | 0 | 262 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 0.83 | 1.81 | 0.00 | 0.83 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.980 | 10.392 | 1.483 | 0.000 | 0.309 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-1) | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 266 | 285 | 865 | 529 | 0 | 240 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 3.25 | 1.99 | 0.00 | 0.90 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.657 | 7.774 | 1.418 | 0.000 | 0.293 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-1) | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 219 | 230 | 730 | 484 | 0 | 208 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 3.33 | 2.21 | 0.00 | 0.95 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.288 | 6.882 | 1.363 | 0.000 | 0.293 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 174 | 181 | 412 | 367 | 0 | 207 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 2.37 | 2.11 | 0.00 | 1.19 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.960 | 2.525 | 1.378 | 0.000 | 0.294 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 232 | 224 | 262 | 467 | 0 | 275 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 1.13 | 2.01 | 0.00 | 1.19 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.391 | 3.102 | 1.232 | 0.000 | 6.250 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 277 | 272 | 274 | 472 | 0 | 288 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.99 | 1.70 | 0.00 | 1.04 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.745 | 3.242 | 3.879 | 0.000 | 6.290 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 334 | 332 | 968 | 634 | 0 | 324 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 2.90 | 1.90 | 0.00 | 0.97 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.190 | 8.139 | 3.303 | 0.000 | 10.832 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 151 | 134 | 97 | 502 | 0 | 188 | 0 | 0 | 0 |
N.S. |
1 | 0.89 | 0.64 | 3.32 | 0.00 | 1.25 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.696 | 0.396 | 44.826 | 0.000 | 0.096 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 123 | 106 | 85 | 397 | 0 | 167 | 0 | 0 | 0 |
N.S. |
1 | 0.86 | 0.69 | 3.23 | 0.00 | 1.36 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.583 | 0.290 | 46.106 | 0.000 | 0.091 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 79 | 71 | 150 | 0 | 124 | 0 | 0 | 0 |
N.S. |
1 | 0.81 | 0.73 | 1.55 | 0.00 | 1.28 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.545 | 0.207 | 43.754 | 0.000 | 0.091 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 75 | 56 | 52 | 152 | 0 | 107 | 0 | 0 | 0 |
N.S. |
1 | 0.75 | 0.69 | 2.03 | 0.00 | 1.43 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.459 | 0.225 | 1.570 | 0.000 | 0.090 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 83 | 76 | 229 | 0 | 125 | 0 | 0 | 0 |
N.S. |
1 | 0.82 | 0.75 | 2.27 | 0.00 | 1.24 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.539 | 0.241 | 3.165 | 0.000 | 0.095 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 127 | 110 | 88 | 383 | 0 | 145 | 0 | 0 | 0 |
N.S. |
1 | 0.87 | 0.69 | 3.02 | 0.00 | 1.14 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.570 | 0.383 | 2.307 | 0.000 | 0.103 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 151 | 138 | 99 | 403 | 0 | 156 | 0 | 0 | 0 |
N.S. |
1 | 0.91 | 0.66 | 2.67 | 0.00 | 1.03 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.697 | 0.543 | 3.414 | 0.000 | 0.101 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 163 | 142 | 112 | 755 | 0 | 206 | 0 | 0 | 0 |
N.S. |
1 | 0.87 | 0.69 | 4.63 | 0.00 | 1.26 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.668 | 1.187 | 47.349 | 0.000 | 0.101 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 127 | 113 | 89 | 500 | 0 | 177 | 0 | 0 | 0 |
N.S. |
1 | 0.89 | 0.70 | 3.94 | 0.00 | 1.39 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.630 | 0.501 | 47.668 | 0.000 | 0.098 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 82 | 75 | 195 | 0 | 134 | 0 | 0 | 0 |
N.S. |
1 | 0.81 | 0.74 | 1.93 | 0.00 | 1.33 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.523 | 0.435 | 3.469 | 0.000 | 0.093 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 105 | 89 | 80 | 274 | 0 | 135 | 0 | 0 | 0 |
N.S. |
1 | 0.85 | 0.76 | 2.61 | 0.00 | 1.29 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.523 | 0.429 | 3.109 | 0.000 | 0.099 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 133 | 119 | 94 | 308 | 0 | 157 | 0 | 0 | 0 |
N.S. |
1 | 0.89 | 0.71 | 2.32 | 0.00 | 1.18 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.639 | 0.544 | 5.319 | 0.000 | 0.101 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 163 | 146 | 108 | 342 | 0 | 174 | 0 | 0 | 0 |
N.S. |
1 | 0.90 | 0.66 | 2.10 | 0.00 | 1.07 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.670 | 0.816 | 6.674 | 0.000 | 0.105 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 217 | 189 | 172 | 822 | 0 | 263 | 0 | 0 | 0 |
N.S. |
1 | 0.87 | 0.79 | 3.79 | 0.00 | 1.21 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.987 | 2.820 | 88.251 | 0.000 | 0.107 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 179 | 157 | 147 | 712 | 0 | 234 | 0 | 0 | 0 |
N.S. |
1 | 0.88 | 0.82 | 3.98 | 0.00 | 1.31 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.951 | 1.851 | 90.762 | 0.000 | 0.117 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 140 | 124 | 99 | 488 | 0 | 200 | 0 | 0 | 0 |
N.S. |
1 | 0.89 | 0.71 | 3.49 | 0.00 | 1.43 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.813 | 2.409 | 90.650 | 0.000 | 0.110 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 141 | 124 | 101 | 381 | 0 | 170 | 0 | 0 | 0 |
N.S. |
1 | 0.88 | 0.72 | 2.70 | 0.00 | 1.21 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.792 | 2.205 | 3.856 | 0.000 | 0.100 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 147 | 134 | 105 | 447 | 0 | 181 | 0 | 0 | 0 |
N.S. |
1 | 0.91 | 0.71 | 3.04 | 0.00 | 1.23 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.815 | 2.114 | 5.427 | 0.000 | 0.104 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 184 | 165 | 125 | 481 | 0 | 210 | 0 | 0 | 0 |
N.S. |
1 | 0.90 | 0.68 | 2.61 | 0.00 | 1.14 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.947 | 2.137 | 7.316 | 0.000 | 0.112 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 217 | 193 | 149 | 512 | 0 | 231 | 0 | 0 | 0 |
N.S. |
1 | 0.89 | 0.69 | 2.36 | 0.00 | 1.06 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.985 | 2.308 | 9.123 | 0.000 | 0.111 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 291 | 266 | 209 | 1154 | 0 | 304 | 0 | 0 | 0 |
N.S. |
1 | 0.91 | 0.72 | 3.97 | 0.00 | 1.04 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.688 | 3.726 | 162.884 | 0.000 | 0.113 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 255 | 238 | 177 | 905 | 0 | 281 | 0 | 0 | 0 |
N.S. |
1 | 0.93 | 0.69 | 3.55 | 0.00 | 1.10 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.600 | 3.408 | 159.737 | 0.000 | 0.109 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 214 | 205 | 135 | 879 | 0 | 248 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 0.63 | 4.11 | 0.00 | 1.16 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.441 | 3.122 | 158.933 | 0.000 | 0.112 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 212 | 205 | 118 | 801 | 0 | 229 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 0.56 | 3.78 | 0.00 | 1.08 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.428 | 3.122 | 158.217 | 0.000 | 0.107 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 212 | 204 | 121 | 595 | 0 | 199 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 0.57 | 2.81 | 0.00 | 0.94 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.430 | 3.008 | 4.863 | 0.000 | 0.107 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 219 | 214 | 133 | 483 | 0 | 226 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.61 | 2.21 | 0.00 | 1.03 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.442 | 3.061 | 7.898 | 0.000 | 0.105 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 255 | 242 | 151 | 514 | 0 | 249 | 0 | 0 | 0 |
N.S. |
1 | 0.95 | 0.59 | 2.02 | 0.00 | 0.98 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.610 | 2.650 | 9.660 | 0.000 | 0.111 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 291 | 270 | 174 | 545 | 0 | 272 | 0 | 0 | 0 |
N.S. |
1 | 0.93 | 0.60 | 1.87 | 0.00 | 0.93 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.673 | 3.085 | 12.329 | 0.000 | 0.123 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 343 | 320 | 242 | 1397 | 0 | 327 | 0 | 0 | 0 |
N.S. |
1 | 0.93 | 0.71 | 4.07 | 0.00 | 0.95 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.125 | 5.295 | 544.071 | 0.000 | 0.131 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 307 | 285 | 209 | 1235 | 0 | 304 | 0 | 0 | 0 |
N.S. |
1 | 0.93 | 0.68 | 4.02 | 0.00 | 0.99 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.015 | 4.239 | 513.329 | 0.000 | 0.109 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 271 | 261 | 176 | 1070 | 0 | 281 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 0.65 | 3.95 | 0.00 | 1.04 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.869 | 5.150 | 522.923 | 0.000 | 0.143 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 270 | 263 | 157 | 1262 | 0 | 272 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 0.58 | 4.67 | 0.00 | 1.01 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.851 | 3.960 | 521.118 | 0.000 | 0.118 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 267 | 259 | 149 | 950 | 0 | 259 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 0.56 | 3.56 | 0.00 | 0.97 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.845 | 3.074 | 553.072 | 0.000 | 0.115 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 269 | 263 | 149 | 727 | 0 | 232 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.55 | 2.70 | 0.00 | 0.86 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.886 | 3.462 | 7.446 | 0.000 | 0.113 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 271 | 261 | 153 | 514 | 0 | 249 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 0.56 | 1.90 | 0.00 | 0.92 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.819 | 3.702 | 10.477 | 0.000 | 0.107 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 307 | 296 | 174 | 545 | 0 | 272 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 0.57 | 1.78 | 0.00 | 0.89 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.025 | 3.345 | 13.059 | 0.000 | 0.122 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 343 | 324 | 197 | 576 | 0 | 295 | 0 | 0 | 0 |
N.S. |
1 | 0.94 | 0.57 | 1.68 | 0.00 | 0.86 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.108 | 3.940 | 19.002 | 0.000 | 0.141 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 250 | 202 | 200 | 785 | 0 | 369 | 0 | 0 | 0 |
N.S. |
1 | 0.81 | 0.80 | 3.14 | 0.00 | 1.48 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.041 | 4.941 | 55.012 | 0.000 | 0.113 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 205 | 172 | 162 | 467 | 0 | 335 | 0 | 0 | 0 |
N.S. |
1 | 0.84 | 0.79 | 2.28 | 0.00 | 1.63 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.905 | 3.831 | 53.464 | 0.000 | 0.106 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 165 | 142 | 132 | 353 | 0 | 275 | 0 | 0 | 0 |
N.S. |
1 | 0.86 | 0.80 | 2.14 | 0.00 | 1.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.862 | 3.449 | 2.464 | 0.000 | 0.099 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 130 | 117 | 126 | 281 | 0 | 266 | 0 | 0 | 0 |
N.S. |
1 | 0.90 | 0.97 | 2.16 | 0.00 | 2.05 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.738 | 2.869 | 2.882 | 0.000 | 0.100 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 174 | 149 | 163 | 300 | 0 | 287 | 0 | 0 | 0 |
N.S. |
1 | 0.86 | 0.94 | 1.72 | 0.00 | 1.65 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.852 | 2.522 | 3.694 | 0.000 | 0.105 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 214 | 178 | 178 | 319 | 0 | 307 | 0 | 0 | 0 |
N.S. |
1 | 0.83 | 0.83 | 1.49 | 0.00 | 1.43 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.911 | 3.223 | 4.038 | 0.000 | 0.106 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 250 | 206 | 198 | 341 | 0 | 327 | 0 | 0 | 0 |
N.S. |
1 | 0.82 | 0.79 | 1.36 | 0.00 | 1.31 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.056 | 3.953 | 4.668 | 0.000 | 0.127 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-1) | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 251 | 223 | 212 | 724 | 0 | 464 | 0 | 0 | 0 |
N.S. |
1 | 0.89 | 0.84 | 2.88 | 0.00 | 1.85 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.282 | 5.005 | 13.166 | 0.000 | 0.121 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-1) | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 215 | 196 | 172 | 563 | 0 | 386 | 0 | 0 | 0 |
N.S. |
1 | 0.91 | 0.80 | 2.62 | 0.00 | 1.80 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.218 | 4.728 | 2.992 | 0.000 | 0.107 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 173 | 163 | 164 | 507 | 0 | 383 | 0 | 0 | 0 |
N.S. |
1 | 0.94 | 0.95 | 2.93 | 0.00 | 2.21 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.030 | 3.957 | 3.283 | 0.000 | 0.119 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 179 | 166 | 162 | 507 | 0 | 381 | 0 | 0 | 0 |
N.S. |
1 | 0.93 | 0.91 | 2.83 | 0.00 | 2.13 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.033 | 3.725 | 3.722 | 0.000 | 0.113 | 0.000 | 0.000 | 0.000 |