Detailed conclusion table per each integral is given by the table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given as F.
In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 50 | 72 | 146 | 119 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.35 | 1.95 | 3.95 | 3.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.248 | 0.034 | 4.028 | 0.409 | 0.287 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 39 | 42 | 98 | 49 | 0 | 58 | 41 |
N.S. |
1 | 1.00 | 1.08 | 1.17 | 2.72 | 1.36 | 0.00 | 1.61 | 1.14 |
time (sec) |
N/A | 0.242 | 0.034 | 5.368 | 0.359 | 0.255 | 0.000 | 0.352 | 14.471 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 51 | 52 | 190 | 61 | 0 | 87 | 82 |
N.S. |
1 | 1.00 | 0.66 | 0.68 | 2.47 | 0.79 | 0.00 | 1.13 | 1.06 |
time (sec) |
N/A | 0.369 | 0.060 | 4.066 | 0.369 | 0.259 | 0.000 | 0.475 | 14.767 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 115 | 120 | 61 | 62 | 237 | 71 | 0 | 116 | 132 |
N.S. |
1 | 1.04 | 0.53 | 0.54 | 2.06 | 0.62 | 0.00 | 1.01 | 1.15 |
time (sec) |
N/A | 0.505 | 0.080 | 5.248 | 0.336 | 0.272 | 0.000 | 0.449 | 16.181 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 153 | 163 | 71 | 72 | 283 | 81 | 0 | 143 | 415 |
N.S. |
1 | 1.07 | 0.46 | 0.47 | 1.85 | 0.53 | 0.00 | 0.93 | 2.71 |
time (sec) |
N/A | 0.665 | 0.118 | 4.549 | 0.366 | 0.246 | 0.000 | 0.548 | 19.816 |
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 | 160 | 161 | 106 | 181 | 1942 | 114 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.66 | 1.13 | 12.14 | 0.71 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.711 | 0.245 | 11.908 | 0.594 | 0.267 | 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 | 120 | 118 | 92 | 146 | 1080 | 103 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.77 | 1.22 | 9.00 | 0.86 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.562 | 0.147 | 11.744 | 0.470 | 0.265 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 79 | 152 | 803 | 90 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.05 | 2.03 | 10.71 | 1.20 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.421 | 0.069 | 13.854 | 0.450 | 0.270 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 85 | 144 | 997 | 109 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.12 | 1.89 | 13.12 | 1.43 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.384 | 0.102 | 5.444 | 0.468 | 0.291 | 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(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 52 | 53 | 125 | 62 | 0 | 0 | 89 |
N.S. |
1 | 1.00 | 0.64 | 0.65 | 1.54 | 0.77 | 0.00 | 0.00 | 1.10 |
time (sec) |
N/A | 0.378 | 0.072 | 5.233 | 0.354 | 0.256 | 0.000 | 0.000 | 15.377 |
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 | 121 | 123 | 62 | 63 | 217 | 73 | 0 | 0 | 133 |
N.S. |
1 | 1.02 | 0.51 | 0.52 | 1.79 | 0.60 | 0.00 | 0.00 | 1.10 |
time (sec) |
N/A | 0.517 | 0.097 | 4.949 | 0.354 | 0.265 | 0.000 | 0.000 | 16.402 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 161 | 166 | 72 | 73 | 263 | 86 | 0 | 87931 | 157 |
N.S. |
1 | 1.03 | 0.45 | 0.45 | 1.63 | 0.53 | 0.00 | 546.16 | 0.98 |
time (sec) |
N/A | 0.701 | 0.146 | 5.291 | 0.331 | 0.262 | 0.000 | 233.170 | 19.641 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 200 | 208 | 182 | 218 | 7450 | 137 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.91 | 1.09 | 37.25 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.954 | 2.992 | 12.294 | 0.758 | 0.271 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 160 | 165 | 182 | 183 | 1964 | 124 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 1.14 | 1.14 | 12.28 | 0.78 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.760 | 2.869 | 12.504 | 0.561 | 0.302 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 120 | 121 | 182 | 172 | 1106 | 111 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 1.52 | 1.43 | 9.22 | 0.92 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.611 | 2.802 | 13.842 | 0.471 | 0.277 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 114 | 117 | 182 | 162 | 973 | 127 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 1.60 | 1.42 | 8.54 | 1.11 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.588 | 2.779 | 13.943 | 0.500 | 0.282 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 122 | 356 | 170 | 1395 | 131 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 3.02 | 1.44 | 11.82 | 1.11 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.591 | 8.943 | 5.563 | 0.480 | 0.280 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 121 | 127 | 64 | 65 | 151 | 81 | 0 | 0 | 135 |
N.S. |
1 | 1.05 | 0.53 | 0.54 | 1.25 | 0.67 | 0.00 | 0.00 | 1.12 |
time (sec) |
N/A | 0.579 | 0.140 | 5.093 | 0.335 | 0.272 | 0.000 | 0.000 | 16.351 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 161 | 165 | 74 | 75 | 243 | 94 | 0 | 98101 | 163 |
N.S. |
1 | 1.02 | 0.46 | 0.47 | 1.51 | 0.58 | 0.00 | 609.32 | 1.01 |
time (sec) |
N/A | 0.747 | 5.183 | 5.492 | 0.336 | 0.291 | 0.000 | 237.097 | 18.395 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 201 | 212 | 84 | 85 | 289 | 107 | 0 | 0 | 279 |
N.S. |
1 | 1.05 | 0.42 | 0.42 | 1.44 | 0.53 | 0.00 | 0.00 | 1.39 |
time (sec) |
N/A | 0.925 | 5.206 | 5.270 | 0.357 | 0.267 | 0.000 | 0.000 | 21.049 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | B | A | F | F(-1) | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 51 | 0 | 121 | 50 | 0 | 0 | 42 |
N.S. |
1 | 1.00 | 1.34 | 0.00 | 3.18 | 1.32 | 0.00 | 0.00 | 1.11 |
time (sec) |
N/A | 0.249 | 0.067 | 0.000 | 0.329 | 0.271 | 0.000 | 0.000 | 0.627 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 50 | 72 | 146 | 119 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.35 | 1.95 | 3.95 | 3.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.241 | 0.050 | 4.896 | 0.388 | 0.275 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 55 | 83 | 420 | 164 | 0 | 83 | 0 |
N.S. |
1 | 1.00 | 1.45 | 2.18 | 11.05 | 4.32 | 0.00 | 2.18 | 0.00 |
time (sec) |
N/A | 0.261 | 0.124 | 3.370 | 0.410 | 0.291 | 0.000 | 0.501 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 171 | 184 | 151 | 178 | 0 | 155 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.88 | 1.04 | 0.00 | 0.91 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.004 | 0.201 | 12.770 | 0.000 | 0.354 | 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 | 128 | 137 | 122 | 141 | 0 | 143 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.95 | 1.10 | 0.00 | 1.12 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.699 | 0.119 | 12.043 | 0.000 | 0.330 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 89 | 108 | 698 | 89 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.94 | 1.14 | 7.35 | 0.94 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.472 | 0.071 | 3.732 | 0.700 | 0.287 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 56 | 56 | 51 | 67 | 522 | 159 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.91 | 1.20 | 9.32 | 2.84 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.242 | 0.036 | 4.497 | 0.706 | 0.287 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 93 | 93 | 180 | 130 | 665 | 132 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.94 | 1.40 | 7.15 | 1.42 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.381 | 1.552 | 5.281 | 0.652 | 0.274 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 139 | 473 | 158 | 818 | 145 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 3.61 | 1.21 | 6.24 | 1.11 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.609 | 7.163 | 5.850 | 0.650 | 0.274 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 169 | 187 | 1540 | 180 | 1006 | 157 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 9.11 | 1.07 | 5.95 | 0.93 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.874 | 8.592 | 5.849 | 0.654 | 0.287 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 126 | 132 | 135 | 169 | 0 | 135 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 1.07 | 1.34 | 0.00 | 1.07 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.810 | 0.169 | 12.564 | 0.000 | 0.276 | 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 | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 85 | 91 | 106 | 133 | 0 | 125 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 1.25 | 1.56 | 0.00 | 1.47 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.582 | 0.120 | 12.858 | 0.000 | 0.286 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | C | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 101 | 108 | 689 | 70 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.87 | 2.00 | 12.76 | 1.30 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.397 | 0.101 | 2.635 | 0.674 | 0.280 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | C | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 49 | 61 | 505 | 54 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.81 | 2.26 | 18.70 | 2.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.210 | 0.035 | 4.221 | 0.663 | 0.286 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | C | B | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 178 | 132 | 648 | 121 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.87 | 2.13 | 10.45 | 1.95 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.330 | 1.271 | 4.940 | 0.584 | 0.276 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 102 | 471 | 156 | 801 | 134 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 4.81 | 1.59 | 8.17 | 1.37 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.508 | 6.446 | 4.826 | 0.574 | 0.313 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 134 | 142 | 1538 | 174 | 989 | 146 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 11.48 | 1.30 | 7.38 | 1.09 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.696 | 7.169 | 5.379 | 0.586 | 0.288 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 174 | 182 | 212 | 240 | 0 | 192 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 1.22 | 1.38 | 0.00 | 1.10 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.978 | 0.305 | 11.473 | 0.000 | 0.365 | 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 | 134 | 140 | 158 | 204 | 0 | 182 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 1.18 | 1.52 | 0.00 | 1.36 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.714 | 0.332 | 3.315 | 0.000 | 0.353 | 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 | 97 | 97 | 118 | 131 | 0 | 145 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.22 | 1.35 | 0.00 | 1.49 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.376 | 0.213 | 3.483 | 0.000 | 0.324 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 97 | 106 | 181 | 0 | 146 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.09 | 1.87 | 0.00 | 1.51 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.387 | 0.386 | 4.203 | 0.000 | 0.292 | 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 | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 137 | 139 | 247 | 196 | 0 | 171 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 1.80 | 1.43 | 0.00 | 1.25 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.605 | 6.605 | 5.566 | 0.000 | 0.286 | 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 | 177 | 187 | 589 | 223 | 0 | 185 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 3.33 | 1.26 | 0.00 | 1.05 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.907 | 8.234 | 4.680 | 0.000 | 0.296 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 214 | 230 | 217 | 344 | 0 | 236 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 1.01 | 1.61 | 0.00 | 1.10 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.266 | 0.704 | 12.741 | 0.000 | 0.429 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 174 | 186 | 191 | 330 | 0 | 226 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 1.10 | 1.90 | 0.00 | 1.30 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.991 | 0.535 | 3.850 | 0.000 | 0.433 | 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 | 137 | 143 | 149 | 196 | 0 | 180 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 1.09 | 1.43 | 0.00 | 1.31 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.609 | 0.541 | 3.629 | 0.000 | 0.281 | 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 | 137 | 143 | 122 | 195 | 0 | 178 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.89 | 1.42 | 0.00 | 1.30 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.610 | 0.741 | 3.357 | 0.000 | 0.295 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 137 | 143 | 134 | 229 | 0 | 180 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.98 | 1.67 | 0.00 | 1.31 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.603 | 0.849 | 5.670 | 0.000 | 0.306 | 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 | 177 | 187 | 506 | 260 | 0 | 205 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 2.86 | 1.47 | 0.00 | 1.16 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.892 | 7.206 | 5.649 | 0.000 | 0.279 | 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 | 217 | 235 | 639 | 287 | 0 | 219 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 2.94 | 1.32 | 0.00 | 1.01 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.194 | 9.073 | 5.452 | 0.000 | 0.281 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 254 | 278 | 256 | 448 | 0 | 280 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 1.01 | 1.76 | 0.00 | 1.10 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.594 | 1.104 | 12.472 | 0.000 | 0.535 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 214 | 234 | 230 | 378 | 0 | 270 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 1.07 | 1.77 | 0.00 | 1.26 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.284 | 1.009 | 3.923 | 0.000 | 0.444 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 177 | 191 | 176 | 260 | 0 | 214 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.99 | 1.47 | 0.00 | 1.21 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.872 | 1.791 | 3.605 | 0.000 | 0.293 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 177 | 191 | 148 | 260 | 0 | 214 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.84 | 1.47 | 0.00 | 1.21 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.877 | 1.273 | 3.737 | 0.000 | 0.293 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 177 | 191 | 149 | 260 | 0 | 214 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.84 | 1.47 | 0.00 | 1.21 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.884 | 1.819 | 3.240 | 0.000 | 0.283 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 177 | 191 | 148 | 277 | 0 | 214 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.84 | 1.56 | 0.00 | 1.21 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.874 | 1.451 | 5.661 | 0.000 | 0.285 | 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 | 217 | 235 | 559 | 324 | 0 | 239 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 2.58 | 1.49 | 0.00 | 1.10 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.183 | 7.760 | 5.442 | 0.000 | 0.294 | 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 | 257 | 279 | 694 | 351 | 0 | 253 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 2.70 | 1.37 | 0.00 | 0.98 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.463 | 10.280 | 5.859 | 0.000 | 0.298 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 217 | 239 | 190 | 350 | 0 | 248 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 0.88 | 1.61 | 0.00 | 1.14 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.159 | 5.541 | 3.894 | 0.000 | 0.289 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 217 | 239 | 158 | 350 | 0 | 248 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 0.73 | 1.61 | 0.00 | 1.14 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.176 | 1.438 | 3.502 | 0.000 | 0.308 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | C | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 30 | 34 | 306 | 31 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.88 | 2.12 | 19.12 | 1.94 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.210 | 0.020 | 1.480 | 0.505 | 0.259 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 32 | 40 | 323 | 105 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.78 | 0.98 | 7.88 | 2.56 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.241 | 0.014 | 1.464 | 0.566 | 0.273 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 186 | 152 | 1063 | 155 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.44 | 1.18 | 8.24 | 1.20 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.542 | 0.762 | 12.560 | 0.426 | 0.306 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 152 | 120 | 795 | 142 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.79 | 1.41 | 9.35 | 1.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.388 | 0.530 | 12.954 | 0.410 | 0.283 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 48 | 125 | 79 | 148 | 155 | 0 | 122 | 0 |
N.S. |
1 | 1.00 | 2.60 | 1.65 | 3.08 | 3.23 | 0.00 | 2.54 | 0.00 |
time (sec) |
N/A | 0.253 | 0.418 | 4.548 | 0.363 | 0.303 | 0.000 | 0.454 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 40 | 40 | 82 | 42 | 0 | 62 | 42 |
N.S. |
1 | 1.00 | 1.08 | 1.08 | 2.22 | 1.14 | 0.00 | 1.68 | 1.14 |
time (sec) |
N/A | 0.244 | 0.033 | 5.457 | 0.300 | 0.247 | 0.000 | 0.400 | 14.265 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 52 | 51 | 174 | 52 | 0 | 90 | 85 |
N.S. |
1 | 1.00 | 0.66 | 0.65 | 2.20 | 0.66 | 0.00 | 1.14 | 1.08 |
time (sec) |
N/A | 0.370 | 0.330 | 5.577 | 0.307 | 0.252 | 0.000 | 0.442 | 14.732 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 123 | 62 | 63 | 221 | 64 | 0 | 120 | 158 |
N.S. |
1 | 1.04 | 0.53 | 0.53 | 1.87 | 0.54 | 0.00 | 1.02 | 1.34 |
time (sec) |
N/A | 0.518 | 0.402 | 5.448 | 0.306 | 0.268 | 0.000 | 0.487 | 15.966 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 114 | 114 | 181 | 154 | 1305 | 124 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.59 | 1.35 | 11.45 | 1.09 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.496 | 0.286 | 13.344 | 0.399 | 0.281 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 155 | 122 | 966 | 111 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.15 | 1.69 | 13.42 | 1.54 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.342 | 0.334 | 13.254 | 0.400 | 0.299 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | B | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 124 | 81 | 221 | 64 | 0 | 119 | 0 |
N.S. |
1 | 1.00 | 3.35 | 2.19 | 5.97 | 1.73 | 0.00 | 3.22 | 0.00 |
time (sec) |
N/A | 0.224 | 0.174 | 4.746 | 0.355 | 0.261 | 0.000 | 0.605 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 39 | 41 | 75 | 41 | 0 | 59 | 31 |
N.S. |
1 | 1.00 | 1.11 | 1.17 | 2.14 | 1.17 | 0.00 | 1.69 | 0.89 |
time (sec) |
N/A | 0.222 | 0.026 | 5.497 | 0.301 | 0.255 | 0.000 | 0.608 | 14.709 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 51 | 53 | 164 | 51 | 0 | 87 | 84 |
N.S. |
1 | 1.00 | 0.68 | 0.71 | 2.19 | 0.68 | 0.00 | 1.16 | 1.12 |
time (sec) |
N/A | 0.331 | 0.161 | 4.403 | 0.303 | 0.255 | 0.000 | 0.631 | 14.631 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 112 | 117 | 61 | 65 | 209 | 63 | 0 | 117 | 156 |
N.S. |
1 | 1.04 | 0.54 | 0.58 | 1.87 | 0.56 | 0.00 | 1.04 | 1.39 |
time (sec) |
N/A | 0.461 | 0.188 | 5.573 | 0.307 | 0.260 | 0.000 | 0.663 | 15.422 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 185 | 197 | 256 | 203 | 0 | 226 | 0 | 779 | 0 |
N.S. |
1 | 1.06 | 1.38 | 1.10 | 0.00 | 1.22 | 0.00 | 4.21 | 0.00 |
time (sec) |
N/A | 0.997 | 1.112 | 12.350 | 0.000 | 0.272 | 0.000 | 6.911 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 141 | 150 | 228 | 169 | 0 | 212 | 0 | 581 | 0 |
N.S. |
1 | 1.06 | 1.62 | 1.20 | 0.00 | 1.50 | 0.00 | 4.12 | 0.00 |
time (sec) |
N/A | 0.725 | 0.917 | 13.858 | 0.000 | 0.277 | 0.000 | 1.009 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 107 | 161 | 116 | 0 | 162 | 0 | 269 | 0 |
N.S. |
1 | 1.00 | 1.50 | 1.08 | 0.00 | 1.51 | 0.00 | 2.51 | 0.00 |
time (sec) |
N/A | 0.493 | 0.518 | 2.077 | 0.000 | 0.261 | 0.000 | 0.670 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 118 | 80 | 209 | 144 | 0 | 162 | 0 |
N.S. |
1 | 1.00 | 2.03 | 1.38 | 3.60 | 2.48 | 0.00 | 2.79 | 0.00 |
time (sec) |
N/A | 0.259 | 0.472 | 5.992 | 0.428 | 0.291 | 0.000 | 0.567 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 157 | 85 | 351 | 152 | 0 | 279 | 0 |
N.S. |
1 | 1.00 | 1.65 | 0.89 | 3.69 | 1.60 | 0.00 | 2.94 | 0.00 |
time (sec) |
N/A | 0.387 | 0.531 | 5.449 | 0.405 | 0.291 | 0.000 | 0.696 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 135 | 142 | 171 | 102 | 504 | 165 | 0 | 235 | 0 |
N.S. |
1 | 1.05 | 1.27 | 0.76 | 3.73 | 1.22 | 0.00 | 1.74 | 0.00 |
time (sec) |
N/A | 0.625 | 0.471 | 4.721 | 0.413 | 0.286 | 0.000 | 0.689 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 173 | 191 | 218 | 120 | 692 | 177 | 0 | 265 | 0 |
N.S. |
1 | 1.10 | 1.26 | 0.69 | 4.00 | 1.02 | 0.00 | 1.53 | 0.00 |
time (sec) |
N/A | 0.877 | 0.745 | 6.346 | 0.437 | 0.285 | 0.000 | 0.787 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 161 | 166 | 255 | 194 | 0 | 239 | 0 | 747 | 0 |
N.S. |
1 | 1.03 | 1.58 | 1.20 | 0.00 | 1.48 | 0.00 | 4.64 | 0.00 |
time (sec) |
N/A | 0.830 | 0.441 | 13.829 | 0.000 | 0.261 | 0.000 | 6.634 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 124 | 227 | 159 | 0 | 225 | 0 | 560 | 0 |
N.S. |
1 | 1.05 | 1.92 | 1.35 | 0.00 | 1.91 | 0.00 | 4.75 | 0.00 |
time (sec) |
N/A | 0.614 | 0.368 | 13.240 | 0.000 | 0.264 | 0.000 | 0.937 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 160 | 116 | 0 | 170 | 0 | 266 | 0 |
N.S. |
1 | 1.00 | 1.88 | 1.36 | 0.00 | 2.00 | 0.00 | 3.13 | 0.00 |
time (sec) |
N/A | 0.434 | 0.170 | 2.118 | 0.000 | 0.278 | 0.000 | 0.583 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | C | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 110 | 84 | 248 | 84 | 0 | 159 | 0 |
N.S. |
1 | 1.00 | 2.34 | 1.79 | 5.28 | 1.79 | 0.00 | 3.38 | 0.00 |
time (sec) |
N/A | 0.233 | 0.191 | 5.845 | 0.382 | 0.275 | 0.000 | 0.484 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 152 | 85 | 400 | 144 | 0 | 264 | 0 |
N.S. |
1 | 1.00 | 1.83 | 1.02 | 4.82 | 1.73 | 0.00 | 3.18 | 0.00 |
time (sec) |
N/A | 0.347 | 0.272 | 5.570 | 0.384 | 0.301 | 0.000 | 0.559 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 122 | 125 | 170 | 100 | 563 | 157 | 0 | 232 | 0 |
N.S. |
1 | 1.02 | 1.39 | 0.82 | 4.61 | 1.29 | 0.00 | 1.90 | 0.00 |
time (sec) |
N/A | 0.533 | 0.293 | 4.636 | 0.405 | 0.272 | 0.000 | 0.537 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.388 | 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 | F | F | F | F(-1) | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.395 | 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 | F | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.395 | 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 | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 151 | 153 | 268 | 384 | 0 | 188 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 1.77 | 2.54 | 0.00 | 1.25 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.749 | 1.257 | 9.734 | 0.000 | 0.106 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 123 | 125 | 255 | 368 | 0 | 167 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 2.07 | 2.99 | 0.00 | 1.36 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.611 | 0.864 | 8.435 | 0.000 | 0.092 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 98 | 124 | 148 | 0 | 124 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 1.28 | 1.53 | 0.00 | 1.28 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.569 | 0.551 | 3.839 | 0.000 | 0.090 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 141 | 150 | 0 | 107 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.88 | 2.00 | 0.00 | 1.43 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.475 | 0.586 | 3.627 | 0.000 | 0.092 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 102 | 140 | 225 | 0 | 125 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 1.39 | 2.23 | 0.00 | 1.24 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.581 | 0.926 | 5.655 | 0.000 | 0.098 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 127 | 129 | 224 | 219 | 0 | 145 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 1.76 | 1.72 | 0.00 | 1.14 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.630 | 0.739 | 6.652 | 0.000 | 0.094 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 151 | 157 | 198 | 270 | 0 | 156 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 1.31 | 1.79 | 0.00 | 1.03 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.777 | 1.603 | 9.768 | 0.000 | 0.103 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 161 | 159 | 261 | 386 | 0 | 202 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 1.62 | 2.40 | 0.00 | 1.25 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.978 | 1.472 | 20.620 | 0.000 | 0.098 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 131 | 250 | 371 | 0 | 179 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.91 | 2.83 | 0.00 | 1.37 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.858 | 1.064 | 19.145 | 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(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 48 | 185 | 0 | 77 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.75 | 2.89 | 0.00 | 1.20 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.530 | 0.708 | 5.010 | 0.000 | 0.083 | 0.000 | 0.000 | 0.000 |