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 | C | A | C | A | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 51 | 69 | 70 | 379 | 56 | 87 | 0 | 0 | 0 |
N.S. |
1 | 1.35 | 1.37 | 7.43 | 1.10 | 1.71 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.439 | 0.010 | 0.325 | 0.249 | 0.253 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | C | A | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 77 | 99 | 91 | 401 | 78 | 117 | 0 | 0 | 0 |
N.S. |
1 | 1.29 | 1.18 | 5.21 | 1.01 | 1.52 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.570 | 0.014 | 0.337 | 0.241 | 0.256 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 307 | 395 | 265 | 5257 | 281 | 899 | 0 | 0 | 0 |
N.S. |
1 | 1.29 | 0.86 | 17.12 | 0.92 | 2.93 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.421 | 0.205 | 6.914 | 0.456 | 0.284 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 231 | 305 | 199 | 4953 | 215 | 745 | 0 | 0 | 0 |
N.S. |
1 | 1.32 | 0.86 | 21.44 | 0.93 | 3.23 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.025 | 0.132 | 2.481 | 0.453 | 0.270 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 150 | 207 | 131 | 348 | 142 | 551 | 0 | 0 | 0 |
N.S. |
1 | 1.38 | 0.87 | 2.32 | 0.95 | 3.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.629 | 0.145 | 2.750 | 0.466 | 0.278 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 17 | 15 | 17 | 17 | 14 | 17 | 17 |
N.S. |
1 | 1.00 | 1.13 | 1.00 | 1.13 | 1.13 | 0.93 | 1.13 | 1.13 |
time (sec) |
N/A | 0.291 | 3.698 | 0.112 | 1.042 | 0.246 | 0.794 | 0.747 | 4.270 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 155 | 199 | 148 | 1684 | 149 | 450 | 0 | 0 | 0 |
N.S. |
1 | 1.28 | 0.95 | 10.86 | 0.96 | 2.90 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.023 | 0.119 | 2.093 | 0.787 | 0.271 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 128 | 165 | 122 | 1625 | 125 | 381 | 0 | 0 | 0 |
N.S. |
1 | 1.29 | 0.95 | 12.70 | 0.98 | 2.98 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.813 | 0.063 | 1.904 | 0.729 | 0.259 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 101 | 131 | 91 | 1542 | 101 | 322 | 0 | 0 | 0 |
N.S. |
1 | 1.30 | 0.90 | 15.27 | 1.00 | 3.19 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.658 | 0.064 | 1.515 | 0.754 | 0.260 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 69 | 90 | 63 | 255 | 72 | 238 | 0 | 0 | 0 |
N.S. |
1 | 1.30 | 0.91 | 3.70 | 1.04 | 3.45 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.459 | 0.078 | 1.597 | 0.746 | 0.274 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 18 | 16 | 18 | 18 | 15 | 18 | 18 |
N.S. |
1 | 1.00 | 1.12 | 1.00 | 1.12 | 1.12 | 0.94 | 1.12 | 1.12 |
time (sec) |
N/A | 0.248 | 2.825 | 0.116 | 0.921 | 0.252 | 0.529 | 0.342 | 4.214 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 168 | 218 | 148 | 1754 | 146 | 423 | 0 | 0 | 0 |
N.S. |
1 | 1.30 | 0.88 | 10.44 | 0.87 | 2.52 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.101 | 0.127 | 2.024 | 0.795 | 0.271 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 139 | 182 | 123 | 1697 | 123 | 359 | 0 | 0 | 0 |
N.S. |
1 | 1.31 | 0.88 | 12.21 | 0.88 | 2.58 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.888 | 0.064 | 1.942 | 0.743 | 0.280 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 110 | 146 | 93 | 1616 | 100 | 305 | 0 | 0 | 0 |
N.S. |
1 | 1.33 | 0.85 | 14.69 | 0.91 | 2.77 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.686 | 0.065 | 1.615 | 0.733 | 0.263 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 103 | 66 | 271 | 73 | 227 | 0 | 0 | 0 |
N.S. |
1 | 1.36 | 0.87 | 3.57 | 0.96 | 2.99 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.471 | 0.085 | 1.633 | 0.762 | 0.286 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 21 | 19 | 20 | 19 | 17 | 21 | 19 |
N.S. |
1 | 1.00 | 1.11 | 1.00 | 1.05 | 1.00 | 0.89 | 1.11 | 1.00 |
time (sec) |
N/A | 0.235 | 2.835 | 0.115 | 0.970 | 0.251 | 0.517 | 0.342 | 4.187 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 303 | 391 | 265 | 5185 | 277 | 879 | 0 | 0 | 0 |
N.S. |
1 | 1.29 | 0.87 | 17.11 | 0.91 | 2.90 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.434 | 0.204 | 7.202 | 0.492 | 0.290 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 229 | 301 | 199 | 4881 | 213 | 729 | 0 | 0 | 0 |
N.S. |
1 | 1.31 | 0.87 | 21.31 | 0.93 | 3.18 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.024 | 0.127 | 2.948 | 0.460 | 0.300 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 150 | 207 | 131 | 348 | 142 | 539 | 0 | 0 | 0 |
N.S. |
1 | 1.38 | 0.87 | 2.32 | 0.95 | 3.59 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.636 | 0.166 | 2.950 | 0.464 | 0.277 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 17 | 15 | 17 | 17 | 14 | 17 | 17 |
N.S. |
1 | 1.00 | 1.13 | 1.00 | 1.13 | 1.13 | 0.93 | 1.13 | 1.13 |
time (sec) |
N/A | 0.291 | 3.890 | 0.133 | 0.975 | 0.259 | 1.846 | 0.685 | 4.455 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 152 | 195 | 145 | 1656 | 146 | 423 | 0 | 0 | 0 |
N.S. |
1 | 1.28 | 0.95 | 10.89 | 0.96 | 2.78 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.029 | 0.113 | 2.055 | 0.750 | 0.263 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 126 | 162 | 120 | 1599 | 123 | 359 | 0 | 0 | 0 |
N.S. |
1 | 1.29 | 0.95 | 12.69 | 0.98 | 2.85 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.848 | 0.070 | 1.979 | 0.769 | 0.282 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 100 | 128 | 90 | 1518 | 100 | 305 | 0 | 0 | 0 |
N.S. |
1 | 1.28 | 0.90 | 15.18 | 1.00 | 3.05 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.664 | 0.066 | 1.641 | 0.821 | 0.266 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 69 | 89 | 63 | 255 | 72 | 226 | 0 | 0 | 0 |
N.S. |
1 | 1.29 | 0.91 | 3.70 | 1.04 | 3.28 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.453 | 0.089 | 1.700 | 0.749 | 0.273 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 18 | 16 | 18 | 18 | 15 | 18 | 18 |
N.S. |
1 | 1.00 | 1.12 | 1.00 | 1.12 | 1.12 | 0.94 | 1.12 | 1.12 |
time (sec) |
N/A | 0.243 | 2.891 | 0.105 | 0.939 | 0.252 | 1.610 | 0.332 | 4.311 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 165 | 214 | 151 | 1782 | 149 | 450 | 0 | 0 | 0 |
N.S. |
1 | 1.30 | 0.92 | 10.80 | 0.90 | 2.73 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.085 | 0.122 | 2.017 | 0.759 | 0.270 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 137 | 179 | 125 | 1723 | 125 | 381 | 0 | 0 | 0 |
N.S. |
1 | 1.31 | 0.91 | 12.58 | 0.91 | 2.78 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.876 | 0.064 | 1.882 | 0.765 | 0.267 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 109 | 143 | 94 | 1640 | 101 | 322 | 0 | 0 | 0 |
N.S. |
1 | 1.31 | 0.86 | 15.05 | 0.93 | 2.95 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.693 | 0.067 | 1.572 | 0.833 | 0.263 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 102 | 66 | 271 | 73 | 239 | 0 | 0 | 0 |
N.S. |
1 | 1.34 | 0.87 | 3.57 | 0.96 | 3.14 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.474 | 0.065 | 1.663 | 0.803 | 0.259 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 21 | 19 | 20 | 19 | 17 | 21 | 19 |
N.S. |
1 | 1.00 | 1.11 | 1.00 | 1.05 | 1.00 | 0.89 | 1.11 | 1.00 |
time (sec) |
N/A | 0.252 | 2.911 | 0.111 | 1.004 | 0.250 | 1.645 | 0.352 | 4.462 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 302 | 355 | 654 | 3640 | 0 | 1808 | 0 | 0 | 0 |
N.S. |
1 | 1.18 | 2.17 | 12.05 | 0.00 | 5.99 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.160 | 0.201 | 24.711 | 0.000 | 0.324 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 234 | 271 | 409 | 2719 | 0 | 1282 | 0 | 0 | 0 |
N.S. |
1 | 1.16 | 1.75 | 11.62 | 0.00 | 5.48 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.861 | 0.138 | 20.177 | 0.000 | 0.292 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 162 | 182 | 295 | 1818 | 0 | 834 | 0 | 0 | 0 |
N.S. |
1 | 1.12 | 1.82 | 11.22 | 0.00 | 5.15 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.604 | 0.206 | 1.830 | 0.000 | 0.290 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 79 | 86 | 127 | 169 | 182 | 498 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 1.61 | 2.14 | 2.30 | 6.30 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.347 | 0.018 | 1.060 | 0.336 | 0.278 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 17 | 15 | 17 | 17 | 14 | 17 | 17 |
N.S. |
1 | 1.00 | 1.13 | 1.00 | 1.13 | 1.13 | 0.93 | 1.13 | 1.13 |
time (sec) |
N/A | 0.214 | 0.486 | 0.159 | 1.539 | 0.250 | 0.528 | 0.991 | 4.424 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 395 | 522 | 349 | 6855 | 0 | 2164 | 0 | 0 | 0 |
N.S. |
1 | 1.32 | 0.88 | 17.35 | 0.00 | 5.48 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.510 | 0.747 | 20.796 | 0.000 | 0.323 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 295 | 402 | 259 | 6481 | 0 | 1688 | 0 | 0 | 0 |
N.S. |
1 | 1.36 | 0.88 | 21.97 | 0.00 | 5.72 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.092 | 0.552 | 2.923 | 0.000 | 0.328 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 194 | 287 | 365 | 556 | 372 | 1184 | 0 | 0 | 0 |
N.S. |
1 | 1.48 | 1.88 | 2.87 | 1.92 | 6.10 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.675 | 0.353 | 2.644 | 0.364 | 0.322 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 17 | 15 | 17 | 17 | 14 | 17 | 17 |
N.S. |
1 | 1.00 | 1.13 | 1.00 | 1.13 | 1.13 | 0.93 | 1.13 | 1.13 |
time (sec) |
N/A | 0.297 | 0.336 | 0.102 | 3.479 | 0.258 | 0.698 | 1.494 | 5.967 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 170 | 218 | 155 | 2273 | 343 | 344 | 0 | 0 | 0 |
N.S. |
1 | 1.28 | 0.91 | 13.37 | 2.02 | 2.02 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.900 | 0.158 | 2.313 | 0.237 | 0.284 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 133 | 171 | 119 | 2183 | 248 | 292 | 0 | 0 | 0 |
N.S. |
1 | 1.29 | 0.89 | 16.41 | 1.86 | 2.20 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.687 | 0.076 | 1.977 | 0.241 | 0.283 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | B | B | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 93 | 123 | 766 | 307 | 262 | 217 | 0 | 0 | 0 |
N.S. |
1 | 1.32 | 8.24 | 3.30 | 2.82 | 2.33 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.479 | 4.347 | 2.322 | 0.288 | 0.262 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 22 | 18 | 144 | 36 | 17 | 20 | 21 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 7.20 | 1.80 | 0.85 | 1.00 | 1.05 |
time (sec) |
N/A | 0.261 | 0.641 | 0.129 | 4.086 | 0.249 | 0.719 | 0.772 | 5.375 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 171 | 223 | 156 | 2383 | 342 | 344 | 0 | 0 | 0 |
N.S. |
1 | 1.30 | 0.91 | 13.94 | 2.00 | 2.01 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.904 | 0.147 | 2.414 | 0.223 | 0.273 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 134 | 176 | 120 | 2285 | 247 | 292 | 0 | 0 | 0 |
N.S. |
1 | 1.31 | 0.90 | 17.05 | 1.84 | 2.18 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.702 | 0.082 | 2.162 | 0.247 | 0.281 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | B | B | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 128 | 723 | 320 | 260 | 218 | 0 | 0 | 0 |
N.S. |
1 | 1.36 | 7.69 | 3.40 | 2.77 | 2.32 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.477 | 1.669 | 2.500 | 0.283 | 0.261 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 23 | 19 | 141 | 36 | 17 | 21 | 22 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 6.71 | 1.71 | 0.81 | 1.00 | 1.05 |
time (sec) |
N/A | 0.259 | 0.621 | 0.127 | 4.389 | 0.252 | 0.758 | 0.850 | 4.818 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 302 | 355 | 654 | 3640 | 0 | 1566 | 0 | 0 | 0 |
N.S. |
1 | 1.18 | 2.17 | 12.05 | 0.00 | 5.19 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.179 | 0.173 | 27.658 | 0.000 | 0.351 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 234 | 271 | 409 | 2719 | 0 | 1084 | 0 | 0 | 0 |
N.S. |
1 | 1.16 | 1.75 | 11.62 | 0.00 | 4.63 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.844 | 0.119 | 22.217 | 0.000 | 0.322 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 162 | 182 | 295 | 1818 | 0 | 680 | 0 | 0 | 0 |
N.S. |
1 | 1.12 | 1.82 | 11.22 | 0.00 | 4.20 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.609 | 0.219 | 2.089 | 0.000 | 0.317 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 79 | 86 | 127 | 188 | 184 | 388 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 1.61 | 2.38 | 2.33 | 4.91 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.346 | 0.017 | 1.434 | 0.325 | 0.290 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 17 | 15 | 17 | 17 | 14 | 17 | 17 |
N.S. |
1 | 1.00 | 1.13 | 1.00 | 1.13 | 1.13 | 0.93 | 1.13 | 1.13 |
time (sec) |
N/A | 0.215 | 0.085 | 0.178 | 1.600 | 0.260 | 0.660 | 0.443 | 4.319 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 391 | 514 | 341 | 6661 | 0 | 1798 | 0 | 0 | 0 |
N.S. |
1 | 1.31 | 0.87 | 17.04 | 0.00 | 4.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.503 | 0.809 | 27.599 | 0.000 | 0.467 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 293 | 394 | 255 | 6311 | 0 | 1462 | 0 | 0 | 0 |
N.S. |
1 | 1.34 | 0.87 | 21.54 | 0.00 | 4.99 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.108 | 0.622 | 4.183 | 0.000 | 0.432 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | B | B | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 194 | 283 | 390 | 564 | 392 | 1098 | 0 | 0 | 0 |
N.S. |
1 | 1.46 | 2.01 | 2.91 | 2.02 | 5.66 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.677 | 0.517 | 2.993 | 0.382 | 0.379 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 17 | 15 | 17 | 17 | 14 | 17 | 17 |
N.S. |
1 | 1.00 | 1.13 | 1.00 | 1.13 | 1.13 | 0.93 | 1.13 | 1.13 |
time (sec) |
N/A | 0.296 | 0.341 | 0.204 | 3.571 | 0.257 | 0.982 | 0.712 | 6.148 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 168 | 219 | 155 | 2383 | 344 | 179 | 0 | 0 | 0 |
N.S. |
1 | 1.30 | 0.92 | 14.18 | 2.05 | 1.07 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.900 | 0.146 | 2.530 | 0.238 | 0.266 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 132 | 172 | 119 | 2285 | 249 | 156 | 0 | 0 | 0 |
N.S. |
1 | 1.30 | 0.90 | 17.31 | 1.89 | 1.18 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.693 | 0.091 | 2.094 | 0.228 | 0.258 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | B | A | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 93 | 126 | 709 | 307 | 286 | 121 | 0 | 0 | 0 |
N.S. |
1 | 1.35 | 7.62 | 3.30 | 3.08 | 1.30 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.486 | 2.148 | 2.550 | 0.281 | 0.250 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 22 | 18 | 141 | 36 | 17 | 20 | 21 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 7.05 | 1.80 | 0.85 | 1.00 | 1.05 |
time (sec) |
N/A | 0.253 | 0.583 | 0.169 | 5.127 | 0.262 | 1.004 | 0.475 | 5.263 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 169 | 216 | 155 | 2273 | 345 | 179 | 0 | 0 | 0 |
N.S. |
1 | 1.28 | 0.92 | 13.45 | 2.04 | 1.06 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.901 | 0.138 | 2.491 | 0.244 | 0.266 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 133 | 169 | 119 | 2183 | 250 | 156 | 0 | 0 | 0 |
N.S. |
1 | 1.27 | 0.89 | 16.41 | 1.88 | 1.17 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.696 | 0.082 | 2.071 | 0.234 | 0.258 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | B | A | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 123 | 605 | 320 | 288 | 121 | 0 | 0 | 0 |
N.S. |
1 | 1.31 | 6.44 | 3.40 | 3.06 | 1.29 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.483 | 1.842 | 2.378 | 0.307 | 0.265 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 23 | 19 | 144 | 36 | 19 | 21 | 22 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 6.86 | 1.71 | 0.90 | 1.00 | 1.05 |
time (sec) |
N/A | 0.259 | 0.628 | 0.173 | 4.999 | 0.253 | 1.016 | 0.477 | 5.276 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 160 | 160 | 131 | 414 | 0 | 326 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.82 | 2.59 | 0.00 | 2.04 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.776 | 0.218 | 146.704 | 0.000 | 0.280 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | C | F(-2) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 297 | 291 | 236 | 314 | 331 | 246 | 362 | 0 | 510 |
N.S. |
1 | 0.98 | 0.79 | 1.06 | 1.11 | 0.83 | 1.22 | 0.00 | 1.72 |
time (sec) |
N/A | 0.656 | 0.094 | 4.222 | 0.213 | 0.268 | 2.453 | 0.000 | 5.570 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | C | F(-2) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 225 | 222 | 192 | 249 | 271 | 195 | 286 | 0 | 414 |
N.S. |
1 | 0.99 | 0.85 | 1.11 | 1.20 | 0.87 | 1.27 | 0.00 | 1.84 |
time (sec) |
N/A | 0.521 | 0.078 | 2.507 | 0.215 | 0.247 | 1.123 | 0.000 | 5.422 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 129 | 174 | 171 | 138 | 209 | 241 | 329 |
N.S. |
1 | 1.00 | 0.92 | 1.24 | 1.22 | 0.99 | 1.49 | 1.72 | 2.35 |
time (sec) |
N/A | 0.356 | 0.057 | 1.631 | 0.208 | 0.248 | 0.558 | 0.391 | 5.596 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | C | C | F | F | F | F(-1) |
verified |
N/A | Yes | N/A | No | TBD | TBD | TBD | TBD | TBD |
size | 381 | 336 | 0 | 589 | 167 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.88 | 0.00 | 1.55 | 0.44 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.916 | 0.000 | 4.721 | 0.355 | 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 | 247 | 225 | 161 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.91 | 0.65 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.737 | 0.094 | 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 | 339 | 325 | 307 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 0.91 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.994 | 0.082 | 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 | C | A | C | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 315 | 286 | 236 | 296 | 317 | 249 | 345 | 359 | 497 |
N.S. |
1 | 0.91 | 0.75 | 0.94 | 1.01 | 0.79 | 1.10 | 1.14 | 1.58 |
time (sec) |
N/A | 0.983 | 0.081 | 3.315 | 0.201 | 0.264 | 1.684 | 0.545 | 5.495 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | C | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 247 | 223 | 183 | 229 | 252 | 198 | 265 | 282 | 414 |
N.S. |
1 | 0.90 | 0.74 | 0.93 | 1.02 | 0.80 | 1.07 | 1.14 | 1.68 |
time (sec) |
N/A | 0.847 | 0.068 | 2.116 | 0.208 | 0.252 | 0.792 | 0.413 | 5.345 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | C | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 104 | 116 | 144 | 141 | 178 | 130 | 155 | 198 | 315 |
N.S. |
1 | 1.12 | 1.38 | 1.36 | 1.71 | 1.25 | 1.49 | 1.90 | 3.03 |
time (sec) |
N/A | 0.856 | 0.021 | 1.250 | 0.210 | 0.252 | 0.357 | 0.347 | 4.987 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | F | F | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 105 | 85 | 332 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.81 | 3.16 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.709 | 0.112 | 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 | B | F | F | F | F | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 197 | 178 | 457 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.90 | 2.32 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.543 | 0.230 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | F | F | F | F(-1) |
verified |
N/A | No | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 256 | 293 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.14 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.545 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 512 | 504 | 1128 | 952 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 2.20 | 1.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.003 | 6.103 | 6.951 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | C | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 546 | 787 | 1287 | 3508 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.44 | 2.36 | 6.42 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.206 | 2.394 | 8.478 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 24 | 93 | 37 | 22 | 26 | 26 |
N.S. |
1 | 1.00 | 1.08 | 1.00 | 3.88 | 1.54 | 0.92 | 1.08 | 1.08 |
time (sec) |
N/A | 0.793 | 0.151 | 0.566 | 0.398 | 0.260 | 113.024 | 0.300 | 5.667 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 560 | 780 | 1236 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.39 | 2.21 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.834 | 2.518 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 712 | 720 | 1193 | 937 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 1.68 | 1.32 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.326 | 4.958 | 9.688 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 51 | 22 | 58 | 64 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.04 | 0.88 | 2.32 | 2.56 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.208 | 0.003 | 0.098 | 0.263 | 0.257 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 51 | 50 | 71 | 54 | 59 | 94 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 1.39 | 1.06 | 1.16 | 1.84 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.349 | 0.020 | 0.077 | 0.212 | 0.257 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 70 | 84 | 93 | 71 | 76 | 119 | 0 | 0 | 0 |
N.S. |
1 | 1.20 | 1.33 | 1.01 | 1.09 | 1.70 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.484 | 0.020 | 0.092 | 0.215 | 0.257 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 39 | 68 | 49 | 107 | 137 | 0 | 0 | 0 |
N.S. |
1 | 0.95 | 1.66 | 1.20 | 2.61 | 3.34 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.207 | 0.018 | 0.258 | 0.203 | 0.253 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 113 | 179 | 108 | 198 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.36 | 2.16 | 1.30 | 2.39 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.405 | 0.031 | 0.249 | 0.210 | 0.252 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 119 | 138 | 149 | 244 | 142 | 247 | 0 | 0 | 0 |
N.S. |
1 | 1.16 | 1.25 | 2.05 | 1.19 | 2.08 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.579 | 0.028 | 0.316 | 0.219 | 0.269 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 168 | 149 | 108 | 160 | 202 | 283 | 0 | 0 | 0 |
N.S. |
1 | 0.89 | 0.64 | 0.95 | 1.20 | 1.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.545 | 0.046 | 1.161 | 0.218 | 0.264 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 216 | 432 | 177 | 590 | 194 | 395 | 0 | 0 | 0 |
N.S. |
1 | 2.00 | 0.82 | 2.73 | 0.90 | 1.83 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.703 | 0.073 | 0.645 | 0.254 | 0.261 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | B | A | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 269 | 557 | 235 | 666 | 254 | 479 | 0 | 0 | 0 |
N.S. |
1 | 2.07 | 0.87 | 2.48 | 0.94 | 1.78 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.694 | 0.045 | 1.040 | 0.240 | 0.256 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 14 | 21 | 21 | 14 | 44 | 15 |
N.S. |
1 | 1.00 | 1.00 | 0.82 | 1.24 | 1.24 | 0.82 | 2.59 | 0.88 |
time (sec) |
N/A | 0.216 | 0.078 | 0.418 | 0.209 | 0.253 | 0.242 | 0.271 | 0.274 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 44 | 36 | 39 | 37 | 37 | 58 | 60 | 225 | 107 |
N.S. |
1 | 0.82 | 0.89 | 0.84 | 0.84 | 1.32 | 1.36 | 5.11 | 2.43 |
time (sec) |
N/A | 0.294 | 0.014 | 0.300 | 0.200 | 0.252 | 0.709 | 0.281 | 4.415 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | F(-2) | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 38 | 42 | 118 | 40 | 108 | 0 | 119 | 58 |
N.S. |
1 | 0.81 | 0.89 | 2.51 | 0.85 | 2.30 | 0.00 | 2.53 | 1.23 |
time (sec) |
N/A | 0.306 | 0.027 | 4.395 | 0.204 | 0.256 | 0.000 | 0.293 | 5.530 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | B | F | A | B |
verified |
N/A | No | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 107 | 91 | 153 | 794 | 184 | 233 | 0 | 167 | 187 |
N.S. |
1 | 0.85 | 1.43 | 7.42 | 1.72 | 2.18 | 0.00 | 1.56 | 1.75 |
time (sec) |
N/A | 0.484 | 0.102 | 3.447 | 0.291 | 0.271 | 0.000 | 0.456 | 4.574 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | B | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 49 | 46 | 60 | 824 | 64 | 92 | 0 | 98 | 119 |
N.S. |
1 | 0.94 | 1.22 | 16.82 | 1.31 | 1.88 | 0.00 | 2.00 | 2.43 |
time (sec) |
N/A | 0.317 | 0.045 | 0.356 | 0.215 | 0.252 | 0.000 | 0.378 | 5.185 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 45 | 41 | 46 | 37 | 43 | 57 | 66 | 40 | 28 |
N.S. |
1 | 0.91 | 1.02 | 0.82 | 0.96 | 1.27 | 1.47 | 0.89 | 0.62 |
time (sec) |
N/A | 0.302 | 0.046 | 0.181 | 0.219 | 0.249 | 0.715 | 0.270 | 0.119 |
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 | 45 | 41 | 46 | 29 | 42 | 25 | 0 | 35 | 28 |
N.S. |
1 | 0.91 | 1.02 | 0.64 | 0.93 | 0.56 | 0.00 | 0.78 | 0.62 |
time (sec) |
N/A | 0.298 | 0.043 | 0.244 | 0.209 | 0.253 | 0.000 | 0.264 | 4.063 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 49 | 46 | 59 | 939 | 64 | 93 | 0 | 147 | 111 |
N.S. |
1 | 0.94 | 1.20 | 19.16 | 1.31 | 1.90 | 0.00 | 3.00 | 2.27 |
time (sec) |
N/A | 0.324 | 0.046 | 0.354 | 0.223 | 0.251 | 0.000 | 0.315 | 4.263 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | B | F | A | B |
verified |
N/A | No | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 107 | 91 | 150 | 920 | 184 | 234 | 0 | 157 | 179 |
N.S. |
1 | 0.85 | 1.40 | 8.60 | 1.72 | 2.19 | 0.00 | 1.47 | 1.67 |
time (sec) |
N/A | 0.500 | 0.089 | 3.326 | 0.301 | 0.261 | 0.000 | 0.449 | 4.474 |