Detailed conclusion table per each integral is given by table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given just an F.
In this table,the column N.S. in the table below, which stands for normalized size is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To help make the table fit, Mathematica was abbreviated to MMA.
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 135 | 135 | 74 | 65 | 203 | 112 | 0 | 90 | 456 |
N.S. |
1 | 1.00 | 0.55 | 0.48 | 1.50 | 0.83 | 0.00 | 0.67 | 3.38 |
time (sec) |
N/A | 0.240 | 0.351 | 2.544 | 0.503 | 2.313 | 0.000 | 0.982 | 7.312 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 60 | 63 | 175 | 95 | 0 | 58 | 446 |
N.S. | 1 | 1.00 | 0.68 | 0.72 | 1.99 | 1.08 | 0.00 | 0.66 | 5.07 |
time (sec) |
N/A | 0.156 | 0.298 | 2.422 | 0.499 | 3.287 | 0.000 | 0.888 | 7.719 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 55 | 55 | 146 | 80 | 0 | 62 | 441 |
N.S. | 1 | 1.00 | 1.34 | 1.34 | 3.56 | 1.95 | 0.00 | 1.51 | 10.76 |
time (sec) |
N/A | 0.070 | 0.158 | 2.516 | 0.525 | 2.657 | 0.000 | 1.272 | 7.590 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 181 | 181 | 225 | 155 | 0 | 435 | 0 | 119 | -1 |
N.S. | 1 | 1.00 | 1.24 | 0.86 | 0.00 | 2.40 | 0.00 | 0.66 | -0.01 |
time (sec) |
N/A | 0.283 | 1.606 | 2.484 | 0.000 | 3.151 | 0.000 | 0.668 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 212 | 212 | 398 | 370 | 0 | 523 | 0 | 154 | -1 |
N.S. | 1 | 1.00 | 1.88 | 1.75 | 0.00 | 2.47 | 0.00 | 0.73 | -0.00 |
time (sec) |
N/A | 0.332 | 6.438 | 2.603 | 0.000 | 4.311 | 0.000 | 0.765 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 246 | 246 | 468 | 631 | 0 | 499 | 0 | 184 | -1 |
N.S. | 1 | 1.00 | 1.90 | 2.57 | 0.00 | 2.03 | 0.00 | 0.75 | -0.00 |
time (sec) |
N/A | 0.360 | 6.653 | 2.874 | 0.000 | 2.004 | 0.000 | 0.938 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | B | B | F(-2) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 87 | 82 | 688 | 101 | 0 | 104 | 136 |
N.S. |
1 | 1.00 | 2.02 | 1.91 | 16.00 | 2.35 | 0.00 | 2.42 | 3.16 |
time (sec) |
N/A | 0.088 | 0.469 | 2.522 | 0.558 | 2.685 | 0.000 | 1.729 | 3.800 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 73 | 72 | 324 | 85 | 0 | 83 | 78 |
N.S. | 1 | 1.00 | 1.70 | 1.67 | 7.53 | 1.98 | 0.00 | 1.93 | 1.81 |
time (sec) |
N/A | 0.086 | 0.309 | 2.672 | 0.561 | 2.759 | 0.000 | 1.568 | 2.637 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 56 | 62 | 59 | 61 | 0 | 54 | 47 |
N.S. | 1 | 1.00 | 1.37 | 1.51 | 1.44 | 1.49 | 0.00 | 1.32 | 1.15 |
time (sec) |
N/A | 0.079 | 0.177 | 2.582 | 0.507 | 2.100 | 0.000 | 1.397 | 1.942 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | A | F | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 99 | 141 | 98 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.94 | 2.76 | 1.92 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.088 | 0.851 | 2.757 | 0.512 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 62 | 60 | 556 | 86 | 0 | 58 | 118 |
N.S. | 1 | 1.00 | 1.48 | 1.43 | 13.24 | 2.05 | 0.00 | 1.38 | 2.81 |
time (sec) |
N/A | 0.097 | 0.248 | 2.801 | 0.572 | 3.332 | 0.000 | 1.784 | 2.996 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 69 | 70 | 816 | 115 | 0 | 86 | 203 |
N.S. | 1 | 1.00 | 1.60 | 1.63 | 18.98 | 2.67 | 0.00 | 2.00 | 4.72 |
time (sec) |
N/A | 0.091 | 0.387 | 2.608 | 0.638 | 3.253 | 0.000 | 1.809 | 6.610 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 108 | 103 | 1804 | 121 | 0 | 132 | 294 |
N.S. |
1 | 1.00 | 1.21 | 1.16 | 20.27 | 1.36 | 0.00 | 1.48 | 3.30 |
time (sec) |
N/A | 0.194 | 1.058 | 2.542 | 0.595 | 2.631 | 0.000 | 1.831 | 6.149 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 97 | 93 | 1187 | 121 | 0 | 107 | 195 |
N.S. |
1 | 1.00 | 1.09 | 1.04 | 13.34 | 1.36 | 0.00 | 1.20 | 2.19 |
time (sec) |
N/A | 0.187 | 0.582 | 2.683 | 0.568 | 3.753 | 0.000 | 1.745 | 5.499 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-2) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 78 | 83 | 596 | 89 | 0 | 86 | 108 |
N.S. |
1 | 1.00 | 0.88 | 0.93 | 6.70 | 1.00 | 0.00 | 0.97 | 1.21 |
time (sec) |
N/A | 0.187 | 0.425 | 2.714 | 0.592 | 2.339 | 0.000 | 1.695 | 3.145 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 73 | 73 | 60 | 83 | 0 | 56 | 76 |
N.S. | 1 | 1.00 | 1.70 | 1.70 | 1.40 | 1.93 | 0.00 | 1.30 | 1.77 |
time (sec) |
N/A | 0.092 | 0.283 | 2.642 | 0.500 | 2.898 | 0.000 | 1.593 | 2.587 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | B | F | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 174 | 162 | 296 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.83 | 1.71 | 3.12 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.187 | 1.402 | 2.928 | 0.574 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | A | F | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 99 | 99 | 134 | 249 | 130 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.35 | 2.52 | 1.31 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.183 | 0.656 | 2.764 | 0.520 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 63 | 73 | 575 | 103 | 0 | 61 | 165 |
N.S. | 1 | 1.00 | 1.50 | 1.74 | 13.69 | 2.45 | 0.00 | 1.45 | 3.93 |
time (sec) |
N/A | 0.102 | 0.470 | 2.626 | 0.578 | 3.025 | 0.000 | 1.873 | 4.830 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-2) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 80 | 83 | 1676 | 144 | 0 | 89 | 273 |
N.S. |
1 | 1.00 | 0.91 | 0.94 | 19.05 | 1.64 | 0.00 | 1.01 | 3.10 |
time (sec) |
N/A | 0.207 | 0.583 | 3.005 | 1.261 | 2.138 | 0.000 | 1.807 | 7.031 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 90 | 93 | 2804 | 171 | 0 | 113 | 340 |
N.S. |
1 | 1.00 | 0.98 | 1.01 | 30.48 | 1.86 | 0.00 | 1.23 | 3.70 |
time (sec) |
N/A | 0.196 | 0.821 | 2.579 | 5.952 | 2.298 | 0.000 | 2.152 | 7.620 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 100 | 103 | 4202 | 199 | 0 | 137 | 407 |
N.S. |
1 | 1.00 | 1.09 | 1.12 | 45.67 | 2.16 | 0.00 | 1.49 | 4.42 |
time (sec) |
N/A | 0.192 | 1.205 | 2.628 | 33.298 | 2.315 | 0.000 | 1.697 | 7.680 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 134 | 134 | 113 | 105 | 2620 | 163 | 0 | 134 | 307 |
N.S. |
1 | 1.00 | 0.84 | 0.78 | 19.55 | 1.22 | 0.00 | 1.00 | 2.29 |
time (sec) |
N/A | 0.288 | 1.282 | 2.917 | 0.571 | 2.544 | 0.000 | 1.772 | 6.234 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 134 | 134 | 92 | 95 | 1634 | 114 | 0 | 109 | 215 |
N.S. |
1 | 1.00 | 0.69 | 0.71 | 12.19 | 0.85 | 0.00 | 0.81 | 1.60 |
time (sec) |
N/A | 0.285 | 0.760 | 2.699 | 0.561 | 2.050 | 0.000 | 1.761 | 5.609 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 96 | 85 | 1188 | 121 | 0 | 88 | 195 |
N.S. |
1 | 1.00 | 1.08 | 0.96 | 13.35 | 1.36 | 0.00 | 0.99 | 2.19 |
time (sec) |
N/A | 0.194 | 0.592 | 2.742 | 0.584 | 2.753 | 0.000 | 1.838 | 5.442 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | A | B | F(-2) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 88 | 75 | 62 | 101 | 0 | 60 | 136 |
N.S. |
1 | 1.00 | 2.05 | 1.74 | 1.44 | 2.35 | 0.00 | 1.40 | 3.16 |
time (sec) |
N/A | 0.089 | 0.479 | 2.898 | 0.498 | 2.792 | 0.000 | 1.746 | 3.610 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | B | F | F(-2) | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 141 | 141 | 328 | 189 | 791 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.33 | 1.34 | 5.61 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.275 | 6.614 | 2.838 | 0.595 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | B | F | F(-2) | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 145 | 145 | 188 | 289 | 2185 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.30 | 1.99 | 15.07 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.282 | 1.409 | 2.898 | 0.741 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | A | F | F(-2) | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 145 | 145 | 182 | 366 | 179 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.26 | 2.52 | 1.23 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.289 | 1.316 | 2.993 | 0.492 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F(-2) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 76 | 75 | 1949 | 136 | 0 | 65 | 199 |
N.S. |
1 | 1.00 | 1.81 | 1.79 | 46.40 | 3.24 | 0.00 | 1.55 | 4.74 |
time (sec) |
N/A | 0.097 | 0.596 | 2.909 | 0.588 | 2.343 | 0.000 | 1.821 | 6.040 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 92 | 85 | 2915 | 179 | 0 | 91 | 350 |
N.S. |
1 | 1.00 | 1.05 | 0.97 | 33.12 | 2.03 | 0.00 | 1.03 | 3.98 |
time (sec) |
N/A | 0.204 | 0.826 | 2.987 | 5.786 | 2.941 | 0.000 | 1.908 | 6.785 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 133 | 133 | 102 | 95 | 4404 | 209 | 0 | 115 | 419 |
N.S. |
1 | 1.00 | 0.77 | 0.71 | 33.11 | 1.57 | 0.00 | 0.86 | 3.15 |
time (sec) |
N/A | 0.314 | 1.214 | 2.774 | 32.795 | 2.869 | 0.000 | 1.752 | 7.169 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | B | F | F(-2) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 139 | 139 | 141 | 165 | 791 | 0 | 0 | 160 | -1 |
N.S. |
1 | 1.00 | 1.01 | 1.19 | 5.69 | 0.00 | 0.00 | 1.15 | -0.01 |
time (sec) |
N/A | 0.272 | 1.481 | 2.859 | 0.585 | 0.000 | 0.000 | 1.642 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | B | F | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 94 | 94 | 173 | 149 | 297 | 0 | 0 | 129 | -1 |
N.S. | 1 | 1.00 | 1.84 | 1.59 | 3.16 | 0.00 | 0.00 | 1.37 | -0.01 |
time (sec) |
N/A | 0.176 | 1.790 | 3.125 | 0.568 | 0.000 | 0.000 | 1.413 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | A | F | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 50 | 50 | 140 | 115 | 68 | 0 | 0 | 59 | -1 |
N.S. | 1 | 1.00 | 2.80 | 2.30 | 1.36 | 0.00 | 0.00 | 1.18 | -0.02 |
time (sec) |
N/A | 0.082 | 0.390 | 3.040 | 0.511 | 0.000 | 0.000 | 1.245 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 94 | 85 | 48 | 218 | 0 | 70 | -1 |
N.S. | 1 | 1.00 | 2.00 | 1.81 | 1.02 | 4.64 | 0.00 | 1.49 | -0.02 |
time (sec) |
N/A | 0.092 | 0.814 | 3.112 | 0.564 | 3.169 | 0.000 | 1.679 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | B | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 79 | 131 | 442 | 414 | 0 | 92 | -1 |
N.S. | 1 | 1.00 | 0.83 | 1.38 | 4.65 | 4.36 | 0.00 | 0.97 | -0.01 |
time (sec) |
N/A | 0.183 | 0.883 | 3.066 | 0.574 | 1.984 | 0.000 | 1.905 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | B | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 91 | 170 | 1303 | 494 | 0 | 122 | -1 |
N.S. | 1 | 1.00 | 0.65 | 1.21 | 9.31 | 3.53 | 0.00 | 0.87 | -0.01 |
time (sec) |
N/A | 0.281 | 0.818 | 3.063 | 0.646 | 3.499 | 0.000 | 1.742 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | B | F | F(-2) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 142 | 142 | 183 | 235 | 2185 | 0 | 0 | 161 | -1 |
N.S. |
1 | 1.00 | 1.29 | 1.65 | 15.39 | 0.00 | 0.00 | 1.13 | -0.01 |
time (sec) |
N/A | 0.284 | 1.031 | 2.862 | 0.777 | 0.000 | 0.000 | 1.605 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | A | F | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 132 | 191 | 105 | 0 | 0 | 79 | -1 |
N.S. | 1 | 1.00 | 1.39 | 2.01 | 1.11 | 0.00 | 0.00 | 0.83 | -0.01 |
time (sec) |
N/A | 0.181 | 1.045 | 2.911 | 0.510 | 0.000 | 0.000 | 1.572 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 42 | 73 | 58 | 85 | 0 | 36 | 50 |
N.S. | 1 | 1.00 | 1.00 | 1.74 | 1.38 | 2.02 | 0.00 | 0.86 | 1.19 |
time (sec) |
N/A | 0.091 | 0.181 | 2.955 | 0.510 | 4.239 | 0.000 | 1.664 | 2.548 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | B | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 157 | 123 | 433 | 412 | 0 | 95 | -1 |
N.S. | 1 | 1.00 | 1.65 | 1.29 | 4.56 | 4.34 | 0.00 | 1.00 | -0.01 |
time (sec) |
N/A | 0.189 | 1.390 | 2.816 | 0.574 | 3.193 | 0.000 | 1.892 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | B | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 104 | 104 | 69 | 133 | 613 | 434 | 0 | 120 | -1 |
N.S. | 1 | 1.00 | 0.66 | 1.28 | 5.89 | 4.17 | 0.00 | 1.15 | -0.01 |
time (sec) |
N/A | 0.124 | 0.804 | 2.967 | 0.568 | 2.397 | 0.000 | 3.075 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-2) | A | F(-2) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 146 | 146 | 122 | 211 | 0 | 588 | 0 | 153 | -1 |
N.S. |
1 | 1.00 | 0.84 | 1.45 | 0.00 | 4.03 | 0.00 | 1.05 | -0.01 |
time (sec) |
N/A | 0.235 | 1.498 | 2.701 | 0.000 | 4.558 | 0.000 | 1.930 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | A | F | F(-2) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 145 | 145 | 178 | 281 | 141 | 0 | 0 | 114 | -1 |
N.S. |
1 | 1.00 | 1.23 | 1.94 | 0.97 | 0.00 | 0.00 | 0.79 | -0.01 |
time (sec) |
N/A | 0.286 | 1.395 | 3.247 | 0.518 | 0.000 | 0.000 | 1.520 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 68 | 75 | 106 | 103 | 0 | 59 | 119 |
N.S. | 1 | 1.00 | 1.62 | 1.79 | 2.52 | 2.45 | 0.00 | 1.40 | 2.83 |
time (sec) |
N/A | 0.099 | 0.291 | 3.074 | 0.507 | 2.058 | 0.000 | 1.614 | 3.512 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 71 | 75 | 62 | 113 | 0 | 37 | 120 |
N.S. | 1 | 1.00 | 1.65 | 1.74 | 1.44 | 2.63 | 0.00 | 0.86 | 2.79 |
time (sec) |
N/A | 0.093 | 0.254 | 3.051 | 0.497 | 1.711 | 0.000 | 1.544 | 3.248 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | B | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 91 | 164 | 1293 | 494 | 0 | 124 | -1 |
N.S. | 1 | 1.00 | 0.65 | 1.17 | 9.24 | 3.53 | 0.00 | 0.89 | -0.01 |
time (sec) |
N/A | 0.290 | 1.041 | 3.190 | 0.624 | 1.953 | 0.000 | 1.715 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-2) | A | F(-2) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 146 | 146 | 130 | 204 | 0 | 580 | 0 | 151 | -1 |
N.S. |
1 | 1.00 | 0.89 | 1.40 | 0.00 | 3.97 | 0.00 | 1.03 | -0.01 |
time (sec) |
N/A | 0.228 | 1.420 | 3.547 | 0.000 | 2.498 | 0.000 | 1.958 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | B | A | F(-2) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 160 | 160 | 84 | 173 | 1791 | 520 | 0 | 182 | -1 |
N.S. |
1 | 1.00 | 0.52 | 1.08 | 11.19 | 3.25 | 0.00 | 1.14 | -0.01 |
time (sec) |
N/A | 0.141 | 1.377 | 3.095 | 0.878 | 1.708 | 0.000 | 1.917 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F | F | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.088 | 1.302 | 0.194 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 89 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.081 | 0.252 | 0.229 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 85 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.94 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.057 | 0.157 | 0.164 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F | F | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.076 | 0.582 | 0.158 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F | F | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.079 | 2.474 | 0.183 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | A | A | F(-1) | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 160 | 160 | 0 | 0 | 240 | 200 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 1.50 | 1.25 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.253 | 50.897 | 0.241 | 0.513 | 1.980 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | A | A | F(-1) | F | B |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 100 | 100 | 0 | 0 | 181 | 120 | 0 | 0 | 154 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 1.81 | 1.20 | 0.00 | 0.00 | 1.54 |
time (sec) |
N/A | 0.146 | 68.677 | 0.237 | 0.502 | 1.307 | 0.000 | 0.000 | 3.592 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | B | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 163 | 0 | 122 | 76 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 3.54 | 0.00 | 2.65 | 1.65 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.071 | 18.801 | 0.228 | 0.506 | 3.141 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F | F | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.087 | 0.670 | 0.225 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F | F | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.095 | 0.662 | 0.236 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F | F(-1) | F(-2) | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.093 | 1.899 | 0.228 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | A | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 169 | 169 | 321 | 0 | 164 | 128 | 0 | 0 | 290 |
N.S. |
1 | 1.00 | 1.90 | 0.00 | 0.97 | 0.76 | 0.00 | 0.00 | 1.72 |
time (sec) |
N/A | 0.266 | 9.070 | 0.358 | 0.497 | 1.508 | 0.000 | 0.000 | 10.646 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | A | A | F(-2) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 104 | 104 | 250 | 0 | 113 | 100 | 0 | 0 | 145 |
N.S. |
1 | 1.00 | 2.40 | 0.00 | 1.09 | 0.96 | 0.00 | 0.00 | 1.39 |
time (sec) |
N/A | 0.168 | 3.079 | 0.313 | 0.500 | 2.545 | 0.000 | 0.000 | 8.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | A | A | F(-2) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 208 | 0 | 66 | 78 | 0 | 0 | 105 |
N.S. |
1 | 1.00 | 4.43 | 0.00 | 1.40 | 1.66 | 0.00 | 0.00 | 2.23 |
time (sec) |
N/A | 0.078 | 1.211 | 0.296 | 0.497 | 1.926 | 0.000 | 0.000 | 2.909 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 257 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.54 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.093 | 1.410 | 0.240 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 99 | 99 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.102 | 2.288 | 0.361 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.114 | 2.724 | 0.385 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 68 | 137 | 186 | 141 | 0 | 145 | 175 |
N.S. | 1 | 1.00 | 0.65 | 1.30 | 1.77 | 1.34 | 0.00 | 1.38 | 1.67 |
time (sec) |
N/A | 0.143 | 0.312 | 0.273 | 0.284 | 1.397 | 0.000 | 0.501 | 6.320 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 86 | 86 | 57 | 126 | 173 | 126 | 0 | 128 | 146 |
N.S. | 1 | 1.00 | 0.66 | 1.47 | 2.01 | 1.47 | 0.00 | 1.49 | 1.70 |
time (sec) |
N/A | 0.116 | 0.198 | 0.250 | 0.278 | 1.740 | 0.000 | 0.504 | 4.923 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 36 | 39 | 38 | 51 | 15 | 15 |
N.S. | 1 | 1.00 | 1.00 | 2.12 | 2.29 | 2.24 | 3.00 | 0.88 | 0.88 |
time (sec) |
N/A | 0.051 | 0.018 | 0.181 | 0.285 | 2.306 | 1.340 | 0.465 | 1.704 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 56 | 56 | 154 | 78 | 210 | 115 | 0 | 87 | 71 |
N.S. | 1 | 1.00 | 2.75 | 1.39 | 3.75 | 2.05 | 0.00 | 1.55 | 1.27 |
time (sec) |
N/A | 0.090 | 0.643 | 0.145 | 0.298 | 2.336 | 0.000 | 0.481 | 1.745 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 70 | 70 | 335 | 60 | 156 | 133 | 0 | 81 | 44 |
N.S. | 1 | 1.00 | 4.79 | 0.86 | 2.23 | 1.90 | 0.00 | 1.16 | 0.63 |
time (sec) |
N/A | 0.127 | 0.457 | 0.197 | 0.296 | 1.295 | 0.000 | 0.472 | 1.686 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 86 | 86 | 43 | 37 | 125 | 84 | 0 | 37 | 35 |
N.S. | 1 | 1.00 | 0.50 | 0.43 | 1.45 | 0.98 | 0.00 | 0.43 | 0.41 |
time (sec) |
N/A | 0.126 | 0.170 | 0.198 | 0.291 | 1.550 | 0.000 | 0.513 | 1.700 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 7087 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 50.62 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.143 | 30.374 | 0.178 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 72 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.11 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.066 | 0.363 | 0.116 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F | F | F(-2) | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 180 | 180 | 3396 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 18.87 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.165 | 16.813 | 0.213 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F | F | F(-2) | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 226 | 226 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.287 | 11.160 | 0.220 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 104 | 143 | 162 | 236 | 1051 | 369 | 0 | 0 | -1 |
N.S. | 1 | 1.38 | 1.56 | 2.27 | 10.11 | 3.55 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.175 | 2.271 | 4.122 | 0.636 | 1.623 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 81 | 116 | 73 | 204 | 0 | 282 | 0 | 132 | -1 |
N.S. | 1 | 1.43 | 0.90 | 2.52 | 0.00 | 3.48 | 0.00 | 1.63 | -0.01 |
time (sec) |
N/A | 0.150 | 0.470 | 3.108 | 0.000 | 1.736 | 0.000 | 0.989 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | B | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 140 | 213 | 724 | 317 | 1406 | 502 | 0 | 0 | -1 |
N.S. |
1 | 1.52 | 5.17 | 2.26 | 10.04 | 3.59 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.180 | 8.048 | 4.935 | 0.621 | 2.352 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 116 | 150 | 236 | 152 | 576 | 356 | 0 | 0 | -1 |
N.S. | 1 | 1.29 | 2.03 | 1.31 | 4.97 | 3.07 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.186 | 2.828 | 3.978 | 0.596 | 1.862 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 179 | 242 | 328 | 294 | 1496 | 614 | 0 | 0 | -1 |
N.S. |
1 | 1.35 | 1.83 | 1.64 | 8.36 | 3.43 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.224 | 2.188 | 4.504 | 0.631 | 2.575 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | A | B | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 94 | 139 | 60 | 274 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.04 | 3.02 | 1.30 | 5.96 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.149 | 0.812 | 3.198 | 0.613 | 2.442 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 98 | 412 | 0 | 374 | 0 | 136 | -1 |
N.S. | 1 | 1.00 | 1.51 | 6.34 | 0.00 | 5.75 | 0.00 | 2.09 | -0.02 |
time (sec) |
N/A | 0.102 | 0.271 | 8.211 | 0.000 | 2.771 | 0.000 | 0.907 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 236 | 236 | 153 | 313 | 410 | 291 | 0 | 566 | 361 |
N.S. | 1 | 1.00 | 0.65 | 1.33 | 1.74 | 1.23 | 0.00 | 2.40 | 1.53 |
time (sec) |
N/A | 0.298 | 1.823 | 0.399 | 0.286 | 2.352 | 0.000 | 0.524 | 5.508 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 171 | 171 | 103 | 223 | 288 | 220 | 0 | 380 | 255 |
N.S. | 1 | 1.00 | 0.60 | 1.30 | 1.68 | 1.29 | 0.00 | 2.22 | 1.49 |
time (sec) |
N/A | 0.203 | 0.715 | 0.303 | 0.295 | 2.001 | 0.000 | 0.543 | 5.337 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 108 | 108 | 75 | 143 | 179 | 158 | 0 | 232 | 196 |
N.S. | 1 | 1.00 | 0.69 | 1.32 | 1.66 | 1.46 | 0.00 | 2.15 | 1.81 |
time (sec) |
N/A | 0.115 | 0.450 | 0.243 | 0.285 | 1.847 | 0.000 | 0.513 | 4.761 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 56 | 56 | 75 | 75 | 96 | 103 | 0 | 124 | 111 |
N.S. | 1 | 1.00 | 1.34 | 1.34 | 1.71 | 1.84 | 0.00 | 2.21 | 1.98 |
time (sec) |
N/A | 0.048 | 0.041 | 0.205 | 0.278 | 1.617 | 0.000 | 0.460 | 2.572 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 107 | 90 | 0 | 267 | 0 | 127 | 195 |
N.S. |
1 | 1.00 | 1.55 | 1.30 | 0.00 | 3.87 | 0.00 | 1.84 | 2.83 |
time (sec) |
N/A | 0.098 | 0.204 | 0.232 | 0.000 | 1.839 | 0.000 | 0.509 | 2.159 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 75 | 105 | 0 | 371 | 0 | 137 | 85 |
N.S. |
1 | 1.00 | 0.95 | 1.33 | 0.00 | 4.70 | 0.00 | 1.73 | 1.08 |
time (sec) |
N/A | 0.101 | 0.241 | 0.228 | 0.000 | 1.659 | 0.000 | 0.481 | 1.914 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 131 | 131 | 167 | 178 | 0 | 756 | 0 | 263 | 171 |
N.S. |
1 | 1.00 | 1.27 | 1.36 | 0.00 | 5.77 | 0.00 | 2.01 | 1.31 |
time (sec) |
N/A | 0.191 | 1.278 | 0.362 | 0.000 | 2.414 | 0.000 | 0.577 | 3.776 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 189 | 189 | 247 | 271 | 0 | 1304 | 0 | 449 | 321 |
N.S. |
1 | 1.00 | 1.31 | 1.43 | 0.00 | 6.90 | 0.00 | 2.38 | 1.70 |
time (sec) |
N/A | 0.319 | 3.342 | 0.494 | 0.000 | 2.513 | 0.000 | 0.534 | 5.283 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 327 | 371 | 460 | 552 | 737 | 398 | 0 | 736 | 484 |
N.S. | 1 | 1.13 | 1.41 | 1.69 | 2.25 | 1.22 | 0.00 | 2.25 | 1.48 |
time (sec) |
N/A | 0.285 | 1.977 | 0.471 | 0.301 | 2.134 | 0.000 | 0.630 | 5.354 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 242 | 277 | 326 | 395 | 506 | 304 | 0 | 506 | 394 |
N.S. | 1 | 1.14 | 1.35 | 1.63 | 2.09 | 1.26 | 0.00 | 2.09 | 1.63 |
time (sec) |
N/A | 0.221 | 1.368 | 0.391 | 0.286 | 2.159 | 0.000 | 0.646 | 5.485 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 176 | 234 | 479 | 270 | 350 | 218 | 0 | 320 | 237 |
N.S. | 1 | 1.33 | 2.72 | 1.53 | 1.99 | 1.24 | 0.00 | 1.82 | 1.35 |
time (sec) |
N/A | 0.169 | 1.003 | 0.314 | 0.278 | 2.306 | 0.000 | 0.536 | 5.464 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 481 | 145 | 181 | 146 | 0 | 178 | 161 |
N.S. | 1 | 1.00 | 4.67 | 1.41 | 1.76 | 1.42 | 0.00 | 1.73 | 1.56 |
time (sec) |
N/A | 0.083 | 6.297 | 0.240 | 0.288 | 1.173 | 0.000 | 0.514 | 4.525 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | B | C | A | F(-2) | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 95 | 208 | 329 | 150 | 0 | 420 | 0 | 196 | 529 |
N.S. |
1 | 2.19 | 3.46 | 1.58 | 0.00 | 4.42 | 0.00 | 2.06 | 5.57 |
time (sec) |
N/A | 0.168 | 2.091 | 0.306 | 0.000 | 3.092 | 0.000 | 0.517 | 2.587 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 117 | 231 | 312 | 157 | 0 | 589 | 0 | 230 | 2563 |
N.S. |
1 | 1.97 | 2.67 | 1.34 | 0.00 | 5.03 | 0.00 | 1.97 | 21.91 |
time (sec) |
N/A | 0.174 | 1.554 | 0.385 | 0.000 | 1.687 | 0.000 | 0.531 | 4.790 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 130 | 184 | 249 | 167 | 0 | 642 | 0 | 211 | 158 |
N.S. |
1 | 1.42 | 1.92 | 1.28 | 0.00 | 4.94 | 0.00 | 1.62 | 1.22 |
time (sec) |
N/A | 0.132 | 1.247 | 0.388 | 0.000 | 2.111 | 0.000 | 0.555 | 3.574 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 213 | 268 | 211 | 228 | 0 | 1260 | 0 | 403 | 286 |
N.S. |
1 | 1.26 | 0.99 | 1.07 | 0.00 | 5.92 | 0.00 | 1.89 | 1.34 |
time (sec) |
N/A | 0.193 | 4.860 | 0.563 | 0.000 | 3.945 | 0.000 | 0.547 | 5.092 |