Detailed conclusion table per each integral is given by the table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given as F.
In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 92 | 96 | 46 | 0 | 0 | 0 | 26 | 0 | 37 |
N.S. |
1 | 1.04 | 0.50 | 0.00 | 0.00 | 0.00 | 0.28 | 0.00 | 0.40 |
time (sec) |
N/A | 0.178 | 6.455 | 0.000 | 0.000 | 0.000 | 0.563 | 0.000 | 4.594 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 88 | 96 | 49 | 0 | 0 | 0 | 29 | 0 | 40 |
N.S. |
1 | 1.09 | 0.56 | 0.00 | 0.00 | 0.00 | 0.33 | 0.00 | 0.45 |
time (sec) |
N/A | 0.185 | 6.914 | 0.000 | 0.000 | 0.000 | 0.611 | 0.000 | 4.838 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 121 | 126 | 51 | 0 | 0 | 0 | 34 | 0 | 0 |
N.S. |
1 | 1.04 | 0.42 | 0.00 | 0.00 | 0.00 | 0.28 | 0.00 | 0.00 |
time (sec) |
N/A | 0.202 | 10.016 | 0.000 | 0.000 | 0.000 | 0.618 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 145 | 156 | 51 | 0 | 0 | 0 | 34 | 0 | 0 |
N.S. |
1 | 1.08 | 0.35 | 0.00 | 0.00 | 0.00 | 0.23 | 0.00 | 0.00 |
time (sec) |
N/A | 0.224 | 10.020 | 0.000 | 0.000 | 0.000 | 0.683 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 126 | 137 | 95 | 0 | 0 | 0 | 31 | 0 | 0 |
N.S. |
1 | 1.09 | 0.75 | 0.00 | 0.00 | 0.00 | 0.25 | 0.00 | 0.00 |
time (sec) |
N/A | 0.212 | 7.622 | 0.000 | 0.000 | 0.000 | 0.672 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 101 | 106 | 64 | 0 | 0 | 0 | 31 | 0 | 0 |
N.S. |
1 | 1.05 | 0.63 | 0.00 | 0.00 | 0.00 | 0.31 | 0.00 | 0.00 |
time (sec) |
N/A | 0.192 | 6.657 | 0.000 | 0.000 | 0.000 | 0.627 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 47 | 0 | 0 | 0 | 27 | 0 | 38 |
N.S. |
1 | 1.00 | 0.60 | 0.00 | 0.00 | 0.00 | 0.35 | 0.00 | 0.49 |
time (sec) |
N/A | 0.169 | 6.365 | 0.000 | 0.000 | 0.000 | 0.578 | 0.000 | 4.624 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 50 | 0 | 0 | 0 | 31 | 0 | 41 |
N.S. |
1 | 1.00 | 0.66 | 0.00 | 0.00 | 0.00 | 0.41 | 0.00 | 0.54 |
time (sec) |
N/A | 0.174 | 6.844 | 0.000 | 0.000 | 0.000 | 0.604 | 0.000 | 4.829 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 103 | 104 | 52 | 0 | 0 | 0 | 36 | 0 | 0 |
N.S. |
1 | 1.01 | 0.50 | 0.00 | 0.00 | 0.00 | 0.35 | 0.00 | 0.00 |
time (sec) |
N/A | 0.191 | 10.012 | 0.000 | 0.000 | 0.000 | 0.630 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 128 | 135 | 52 | 0 | 0 | 0 | 36 | 0 | 0 |
N.S. |
1 | 1.05 | 0.41 | 0.00 | 0.00 | 0.00 | 0.28 | 0.00 | 0.00 |
time (sec) |
N/A | 0.211 | 10.016 | 0.000 | 0.000 | 0.000 | 0.691 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 92 | 97 | 47 | 0 | 0 | 0 | 26 | 0 | 37 |
N.S. |
1 | 1.05 | 0.51 | 0.00 | 0.00 | 0.00 | 0.28 | 0.00 | 0.40 |
time (sec) |
N/A | 0.180 | 7.032 | 0.000 | 0.000 | 0.000 | 0.731 | 0.000 | 4.545 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 96 | 101 | 48 | 0 | 0 | 0 | 27 | 0 | 38 |
N.S. |
1 | 1.05 | 0.50 | 0.00 | 0.00 | 0.00 | 0.28 | 0.00 | 0.40 |
time (sec) |
N/A | 0.179 | 7.113 | 0.000 | 0.000 | 0.000 | 0.664 | 0.000 | 4.552 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 111 | 118 | 47 | 0 | 0 | 0 | 26 | 0 | 37 |
N.S. |
1 | 1.06 | 0.42 | 0.00 | 0.00 | 0.00 | 0.23 | 0.00 | 0.33 |
time (sec) |
N/A | 0.185 | 7.416 | 0.000 | 0.000 | 0.000 | 0.791 | 0.000 | 4.483 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 96 | 101 | 48 | 0 | 0 | 0 | 27 | 0 | 38 |
N.S. |
1 | 1.05 | 0.50 | 0.00 | 0.00 | 0.00 | 0.28 | 0.00 | 0.40 |
time (sec) |
N/A | 0.175 | 7.368 | 0.000 | 0.000 | 0.000 | 0.799 | 0.000 | 4.589 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 146 | 162 | 90 | 0 | 0 | 0 | 27 | 0 | 0 |
N.S. |
1 | 1.11 | 0.62 | 0.00 | 0.00 | 0.00 | 0.18 | 0.00 | 0.00 |
time (sec) |
N/A | 0.219 | 5.817 | 0.000 | 0.000 | 0.000 | 0.546 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 122 | 132 | 79 | 0 | 0 | 0 | 27 | 0 | 0 |
N.S. |
1 | 1.08 | 0.65 | 0.00 | 0.00 | 0.00 | 0.22 | 0.00 | 0.00 |
time (sec) |
N/A | 0.207 | 5.644 | 0.000 | 0.000 | 0.000 | 0.494 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 98 | 102 | 62 | 0 | 0 | 0 | 27 | 0 | 0 |
N.S. |
1 | 1.04 | 0.63 | 0.00 | 0.00 | 0.00 | 0.28 | 0.00 | 0.00 |
time (sec) |
N/A | 0.183 | 5.481 | 0.000 | 0.000 | 0.000 | 0.516 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 71 | 75 | 46 | 0 | 0 | 0 | 24 | 0 | 37 |
N.S. |
1 | 1.06 | 0.65 | 0.00 | 0.00 | 0.00 | 0.34 | 0.00 | 0.52 |
time (sec) |
N/A | 0.163 | 5.427 | 0.000 | 0.000 | 0.000 | 0.465 | 0.000 | 4.590 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 93 | 102 | 49 | 0 | 0 | 0 | 27 | 0 | 40 |
N.S. |
1 | 1.10 | 0.53 | 0.00 | 0.00 | 0.00 | 0.29 | 0.00 | 0.43 |
time (sec) |
N/A | 0.184 | 5.520 | 0.000 | 0.000 | 0.000 | 0.511 | 0.000 | 4.727 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 124 | 132 | 51 | 0 | 0 | 0 | 32 | 0 | 0 |
N.S. |
1 | 1.06 | 0.41 | 0.00 | 0.00 | 0.00 | 0.26 | 0.00 | 0.00 |
time (sec) |
N/A | 0.202 | 10.010 | 0.000 | 0.000 | 0.000 | 0.567 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 148 | 162 | 51 | 0 | 0 | 0 | 32 | 0 | 0 |
N.S. |
1 | 1.09 | 0.34 | 0.00 | 0.00 | 0.00 | 0.22 | 0.00 | 0.00 |
time (sec) |
N/A | 0.228 | 10.015 | 0.000 | 0.000 | 0.000 | 0.666 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 129 | 143 | 89 | 0 | 0 | 0 | 29 | 0 | 0 |
N.S. |
1 | 1.11 | 0.69 | 0.00 | 0.00 | 0.00 | 0.22 | 0.00 | 0.00 |
time (sec) |
N/A | 0.214 | 6.148 | 0.000 | 0.000 | 0.000 | 0.561 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 104 | 112 | 79 | 0 | 0 | 0 | 29 | 0 | 0 |
N.S. |
1 | 1.08 | 0.76 | 0.00 | 0.00 | 0.00 | 0.28 | 0.00 | 0.00 |
time (sec) |
N/A | 0.190 | 5.736 | 0.000 | 0.000 | 0.000 | 0.504 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 64 | 0 | 0 | 0 | 29 | 0 | 0 |
N.S. |
1 | 1.00 | 0.79 | 0.00 | 0.00 | 0.00 | 0.36 | 0.00 | 0.00 |
time (sec) |
N/A | 0.170 | 5.399 | 0.000 | 0.000 | 0.000 | 0.538 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 47 | 0 | 0 | 0 | 26 | 0 | 38 |
N.S. |
1 | 1.00 | 0.81 | 0.00 | 0.00 | 0.00 | 0.45 | 0.00 | 0.66 |
time (sec) |
N/A | 0.156 | 5.404 | 0.000 | 0.000 | 0.000 | 0.471 | 0.000 | 4.728 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 50 | 0 | 0 | 0 | 29 | 0 | 41 |
N.S. |
1 | 1.00 | 0.63 | 0.00 | 0.00 | 0.00 | 0.37 | 0.00 | 0.52 |
time (sec) |
N/A | 0.171 | 5.534 | 0.000 | 0.000 | 0.000 | 0.513 | 0.000 | 4.900 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 106 | 110 | 52 | 0 | 0 | 0 | 34 | 0 | 0 |
N.S. |
1 | 1.04 | 0.49 | 0.00 | 0.00 | 0.00 | 0.32 | 0.00 | 0.00 |
time (sec) |
N/A | 0.197 | 10.020 | 0.000 | 0.000 | 0.000 | 0.603 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 131 | 141 | 52 | 0 | 0 | 0 | 34 | 0 | 0 |
N.S. |
1 | 1.08 | 0.40 | 0.00 | 0.00 | 0.00 | 0.26 | 0.00 | 0.00 |
time (sec) |
N/A | 0.220 | 10.012 | 0.000 | 0.000 | 0.000 | 0.676 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 124 | 138 | 90 | 0 | 0 | 0 | 27 | 0 | 0 |
N.S. |
1 | 1.11 | 0.73 | 0.00 | 0.00 | 0.00 | 0.22 | 0.00 | 0.00 |
time (sec) |
N/A | 0.215 | 6.054 | 0.000 | 0.000 | 0.000 | 0.547 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 100 | 108 | 78 | 0 | 0 | 0 | 27 | 0 | 0 |
N.S. |
1 | 1.08 | 0.78 | 0.00 | 0.00 | 0.00 | 0.27 | 0.00 | 0.00 |
time (sec) |
N/A | 0.195 | 6.015 | 0.000 | 0.000 | 0.000 | 0.564 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 62 | 0 | 0 | 0 | 27 | 0 | 0 |
N.S. |
1 | 1.00 | 0.79 | 0.00 | 0.00 | 0.00 | 0.35 | 0.00 | 0.00 |
time (sec) |
N/A | 0.168 | 5.619 | 0.000 | 0.000 | 0.000 | 0.487 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 56 | 56 | 46 | 0 | 0 | 0 | 24 | 0 | 37 |
N.S. |
1 | 1.00 | 0.82 | 0.00 | 0.00 | 0.00 | 0.43 | 0.00 | 0.66 |
time (sec) |
N/A | 0.156 | 5.438 | 0.000 | 0.000 | 0.000 | 0.480 | 0.000 | 4.689 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 49 | 0 | 0 | 0 | 27 | 0 | 40 |
N.S. |
1 | 1.00 | 0.64 | 0.00 | 0.00 | 0.00 | 0.36 | 0.00 | 0.53 |
time (sec) |
N/A | 0.179 | 6.062 | 0.000 | 0.000 | 0.000 | 0.600 | 0.000 | 4.934 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 102 | 106 | 51 | 0 | 0 | 0 | 32 | 0 | 0 |
N.S. |
1 | 1.04 | 0.50 | 0.00 | 0.00 | 0.00 | 0.31 | 0.00 | 0.00 |
time (sec) |
N/A | 0.192 | 10.013 | 0.000 | 0.000 | 0.000 | 0.586 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 126 | 136 | 51 | 0 | 0 | 0 | 32 | 0 | 0 |
N.S. |
1 | 1.08 | 0.40 | 0.00 | 0.00 | 0.00 | 0.25 | 0.00 | 0.00 |
time (sec) |
N/A | 0.209 | 10.010 | 0.000 | 0.000 | 0.000 | 0.704 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 129 | 143 | 91 | 0 | 0 | 0 | 29 | 0 | 0 |
N.S. |
1 | 1.11 | 0.71 | 0.00 | 0.00 | 0.00 | 0.22 | 0.00 | 0.00 |
time (sec) |
N/A | 0.218 | 6.155 | 0.000 | 0.000 | 0.000 | 0.559 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 104 | 112 | 77 | 0 | 0 | 0 | 29 | 0 | 0 |
N.S. |
1 | 1.08 | 0.74 | 0.00 | 0.00 | 0.00 | 0.28 | 0.00 | 0.00 |
time (sec) |
N/A | 0.197 | 6.076 | 0.000 | 0.000 | 0.000 | 0.532 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 64 | 0 | 0 | 0 | 29 | 0 | 0 |
N.S. |
1 | 1.00 | 0.79 | 0.00 | 0.00 | 0.00 | 0.36 | 0.00 | 0.00 |
time (sec) |
N/A | 0.173 | 5.730 | 0.000 | 0.000 | 0.000 | 0.486 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 47 | 0 | 0 | 0 | 26 | 0 | 38 |
N.S. |
1 | 1.00 | 0.81 | 0.00 | 0.00 | 0.00 | 0.45 | 0.00 | 0.66 |
time (sec) |
N/A | 0.157 | 5.642 | 0.000 | 0.000 | 0.000 | 0.500 | 0.000 | 4.755 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 50 | 0 | 0 | 0 | 29 | 0 | 41 |
N.S. |
1 | 1.00 | 0.64 | 0.00 | 0.00 | 0.00 | 0.37 | 0.00 | 0.53 |
time (sec) |
N/A | 0.173 | 5.977 | 0.000 | 0.000 | 0.000 | 0.572 | 0.000 | 4.998 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 106 | 109 | 52 | 0 | 0 | 0 | 34 | 0 | 0 |
N.S. |
1 | 1.03 | 0.49 | 0.00 | 0.00 | 0.00 | 0.32 | 0.00 | 0.00 |
time (sec) |
N/A | 0.197 | 10.020 | 0.000 | 0.000 | 0.000 | 0.623 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 131 | 140 | 52 | 0 | 0 | 0 | 34 | 0 | 0 |
N.S. |
1 | 1.07 | 0.40 | 0.00 | 0.00 | 0.00 | 0.26 | 0.00 | 0.00 |
time (sec) |
N/A | 0.222 | 10.014 | 0.000 | 0.000 | 0.000 | 0.679 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 124 | 134 | 78 | 0 | 0 | 0 | 27 | 0 | 0 |
N.S. |
1 | 1.08 | 0.63 | 0.00 | 0.00 | 0.00 | 0.22 | 0.00 | 0.00 |
time (sec) |
N/A | 0.215 | 6.625 | 0.000 | 0.000 | 0.000 | 0.540 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 100 | 104 | 65 | 0 | 0 | 0 | 27 | 0 | 0 |
N.S. |
1 | 1.04 | 0.65 | 0.00 | 0.00 | 0.00 | 0.27 | 0.00 | 0.00 |
time (sec) |
N/A | 0.196 | 6.416 | 0.000 | 0.000 | 0.000 | 0.522 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 53 | 0 | 0 | 0 | 27 | 0 | 0 |
N.S. |
1 | 1.00 | 0.72 | 0.00 | 0.00 | 0.00 | 0.36 | 0.00 | 0.00 |
time (sec) |
N/A | 0.169 | 5.961 | 0.000 | 0.000 | 0.000 | 0.524 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 56 | 56 | 55 | 0 | 0 | 0 | 24 | 0 | 37 |
N.S. |
1 | 1.00 | 0.98 | 0.00 | 0.00 | 0.00 | 0.43 | 0.00 | 0.66 |
time (sec) |
N/A | 0.154 | 6.079 | 0.000 | 0.000 | 0.000 | 0.521 | 0.000 | 4.711 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 52 | 0 | 0 | 0 | 27 | 0 | 40 |
N.S. |
1 | 1.00 | 0.68 | 0.00 | 0.00 | 0.00 | 0.36 | 0.00 | 0.53 |
time (sec) |
N/A | 0.170 | 6.137 | 0.000 | 0.000 | 0.000 | 0.600 | 0.000 | 4.962 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 102 | 106 | 54 | 0 | 0 | 0 | 32 | 0 | 0 |
N.S. |
1 | 1.04 | 0.53 | 0.00 | 0.00 | 0.00 | 0.31 | 0.00 | 0.00 |
time (sec) |
N/A | 0.191 | 10.012 | 0.000 | 0.000 | 0.000 | 0.679 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 126 | 136 | 54 | 0 | 0 | 0 | 32 | 0 | 0 |
N.S. |
1 | 1.08 | 0.43 | 0.00 | 0.00 | 0.00 | 0.25 | 0.00 | 0.00 |
time (sec) |
N/A | 0.216 | 10.012 | 0.000 | 0.000 | 0.000 | 0.783 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 124 | 138 | 78 | 0 | 0 | 0 | 29 | 0 | 0 |
N.S. |
1 | 1.11 | 0.63 | 0.00 | 0.00 | 0.00 | 0.23 | 0.00 | 0.00 |
time (sec) |
N/A | 0.220 | 6.498 | 0.000 | 0.000 | 0.000 | 0.579 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 101 | 107 | 66 | 0 | 0 | 0 | 29 | 0 | 0 |
N.S. |
1 | 1.06 | 0.65 | 0.00 | 0.00 | 0.00 | 0.29 | 0.00 | 0.00 |
time (sec) |
N/A | 0.199 | 6.371 | 0.000 | 0.000 | 0.000 | 0.549 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 56 | 0 | 0 | 0 | 29 | 0 | 0 |
N.S. |
1 | 1.00 | 0.73 | 0.00 | 0.00 | 0.00 | 0.38 | 0.00 | 0.00 |
time (sec) |
N/A | 0.176 | 5.913 | 0.000 | 0.000 | 0.000 | 0.539 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 56 | 0 | 0 | 0 | 26 | 0 | 38 |
N.S. |
1 | 1.00 | 0.73 | 0.00 | 0.00 | 0.00 | 0.34 | 0.00 | 0.49 |
time (sec) |
N/A | 0.170 | 5.821 | 0.000 | 0.000 | 0.000 | 0.529 | 0.000 | 4.722 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 99 | 105 | 53 | 0 | 0 | 0 | 29 | 0 | 41 |
N.S. |
1 | 1.06 | 0.54 | 0.00 | 0.00 | 0.00 | 0.29 | 0.00 | 0.41 |
time (sec) |
N/A | 0.194 | 6.196 | 0.000 | 0.000 | 0.000 | 0.636 | 0.000 | 4.938 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 126 | 136 | 55 | 0 | 0 | 0 | 34 | 0 | 0 |
N.S. |
1 | 1.08 | 0.44 | 0.00 | 0.00 | 0.00 | 0.27 | 0.00 | 0.00 |
time (sec) |
N/A | 0.212 | 10.015 | 0.000 | 0.000 | 0.000 | 0.681 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 151 | 167 | 55 | 0 | 0 | 0 | 34 | 0 | 0 |
N.S. |
1 | 1.11 | 0.36 | 0.00 | 0.00 | 0.00 | 0.23 | 0.00 | 0.00 |
time (sec) |
N/A | 0.240 | 10.017 | 0.000 | 0.000 | 0.000 | 0.771 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 55 | 0 | 0 | 0 | 24 | 0 | 37 |
N.S. |
1 | 1.00 | 0.71 | 0.00 | 0.00 | 0.00 | 0.31 | 0.00 | 0.47 |
time (sec) |
N/A | 0.169 | 6.623 | 0.000 | 0.000 | 0.000 | 0.627 | 0.000 | 4.669 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 72 | 0 | 0 | 0 | 24 | 0 | 37 |
N.S. |
1 | 1.00 | 0.92 | 0.00 | 0.00 | 0.00 | 0.31 | 0.00 | 0.47 |
time (sec) |
N/A | 0.167 | 7.099 | 0.000 | 0.000 | 0.000 | 0.767 | 0.000 | 4.617 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 97 | 105 | 75 | 0 | 0 | 0 | 24 | 0 | 37 |
N.S. |
1 | 1.08 | 0.77 | 0.00 | 0.00 | 0.00 | 0.25 | 0.00 | 0.38 |
time (sec) |
N/A | 0.181 | 7.339 | 0.000 | 0.000 | 0.000 | 1.046 | 0.000 | 4.570 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 56 | 0 | 0 | 0 | 26 | 0 | 38 |
N.S. |
1 | 1.00 | 0.69 | 0.00 | 0.00 | 0.00 | 0.32 | 0.00 | 0.47 |
time (sec) |
N/A | 0.171 | 6.525 | 0.000 | 0.000 | 0.000 | 0.645 | 0.000 | 4.615 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 101 | 105 | 74 | 0 | 0 | 0 | 26 | 0 | 38 |
N.S. |
1 | 1.04 | 0.73 | 0.00 | 0.00 | 0.00 | 0.26 | 0.00 | 0.38 |
time (sec) |
N/A | 0.184 | 7.092 | 0.000 | 0.000 | 0.000 | 0.786 | 0.000 | 4.665 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 101 | 109 | 77 | 0 | 0 | 0 | 26 | 0 | 38 |
N.S. |
1 | 1.08 | 0.76 | 0.00 | 0.00 | 0.00 | 0.26 | 0.00 | 0.38 |
time (sec) |
N/A | 0.188 | 7.240 | 0.000 | 0.000 | 0.000 | 0.999 | 0.000 | 4.582 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 99 | 110 | 54 | 20 | 0 | 0 | 27 | 0 | 0 |
N.S. |
1 | 1.11 | 0.55 | 0.20 | 0.00 | 0.00 | 0.27 | 0.00 | 0.00 |
time (sec) |
N/A | 0.196 | 5.362 | 2.117 | 0.000 | 0.000 | 0.497 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 81 | 87 | 49 | 20 | 0 | 0 | 27 | 0 | 0 |
N.S. |
1 | 1.07 | 0.60 | 0.25 | 0.00 | 0.00 | 0.33 | 0.00 | 0.00 |
time (sec) |
N/A | 0.172 | 5.376 | 2.095 | 0.000 | 0.000 | 0.445 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 63 | 64 | 41 | 20 | 0 | 0 | 27 | 0 | 0 |
N.S. |
1 | 1.02 | 0.65 | 0.32 | 0.00 | 0.00 | 0.43 | 0.00 | 0.00 |
time (sec) |
N/A | 0.159 | 5.194 | 2.093 | 0.000 | 0.000 | 0.452 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 24 | 18 | 0 | 0 | 26 | 0 | 16 |
N.S. |
1 | 1.00 | 0.56 | 0.42 | 0.00 | 0.00 | 0.60 | 0.00 | 0.37 |
time (sec) |
N/A | 0.148 | 4.923 | 2.083 | 0.000 | 0.000 | 0.445 | 0.000 | 0.101 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 63 | 66 | 27 | 20 | 0 | 0 | 29 | 0 | 36 |
N.S. |
1 | 1.05 | 0.43 | 0.32 | 0.00 | 0.00 | 0.46 | 0.00 | 0.57 |
time (sec) |
N/A | 0.163 | 4.836 | 10.202 | 0.000 | 0.000 | 0.444 | 0.000 | 4.868 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 83 | 89 | 29 | 20 | 0 | 0 | 32 | 0 | 0 |
N.S. |
1 | 1.07 | 0.35 | 0.24 | 0.00 | 0.00 | 0.39 | 0.00 | 0.00 |
time (sec) |
N/A | 0.178 | 10.009 | 2.131 | 0.000 | 0.000 | 0.499 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 112 | 29 | 20 | 0 | 0 | 32 | 0 | 0 |
N.S. |
1 | 1.11 | 0.29 | 0.20 | 0.00 | 0.00 | 0.32 | 0.00 | 0.00 |
time (sec) |
N/A | 0.192 | 10.008 | 2.138 | 0.000 | 0.000 | 0.535 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 83 | 93 | 54 | 20 | 0 | 0 | 29 | 0 | 0 |
N.S. |
1 | 1.12 | 0.65 | 0.24 | 0.00 | 0.00 | 0.35 | 0.00 | 0.00 |
time (sec) |
N/A | 0.177 | 5.227 | 2.158 | 0.000 | 0.000 | 0.531 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 65 | 70 | 49 | 20 | 0 | 0 | 29 | 0 | 0 |
N.S. |
1 | 1.08 | 0.75 | 0.31 | 0.00 | 0.00 | 0.45 | 0.00 | 0.00 |
time (sec) |
N/A | 0.164 | 4.955 | 2.149 | 0.000 | 0.000 | 0.454 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 41 | 20 | 0 | 0 | 29 | 0 | 0 |
N.S. |
1 | 1.00 | 0.87 | 0.43 | 0.00 | 0.00 | 0.62 | 0.00 | 0.00 |
time (sec) |
N/A | 0.149 | 4.909 | 2.159 | 0.000 | 0.000 | 0.456 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 24 | 18 | 0 | 0 | 27 | 0 | 16 |
N.S. |
1 | 1.00 | 0.86 | 0.64 | 0.00 | 0.00 | 0.96 | 0.00 | 0.57 |
time (sec) |
N/A | 0.134 | 4.902 | 2.117 | 0.000 | 0.000 | 0.448 | 0.000 | 0.095 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 27 | 20 | 0 | 0 | 31 | 0 | 36 |
N.S. |
1 | 1.00 | 0.57 | 0.43 | 0.00 | 0.00 | 0.66 | 0.00 | 0.77 |
time (sec) |
N/A | 0.149 | 4.970 | 2.159 | 0.000 | 0.000 | 0.466 | 0.000 | 4.799 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 67 | 70 | 29 | 20 | 0 | 0 | 34 | 0 | 0 |
N.S. |
1 | 1.04 | 0.43 | 0.30 | 0.00 | 0.00 | 0.51 | 0.00 | 0.00 |
time (sec) |
N/A | 0.163 | 10.006 | 2.162 | 0.000 | 0.000 | 0.566 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 85 | 93 | 29 | 20 | 0 | 0 | 34 | 0 | 0 |
N.S. |
1 | 1.09 | 0.34 | 0.24 | 0.00 | 0.00 | 0.40 | 0.00 | 0.00 |
time (sec) |
N/A | 0.180 | 10.008 | 2.177 | 0.000 | 0.000 | 0.609 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 83 | 93 | 54 | 20 | 0 | 0 | 27 | 0 | 0 |
N.S. |
1 | 1.12 | 0.65 | 0.24 | 0.00 | 0.00 | 0.33 | 0.00 | 0.00 |
time (sec) |
N/A | 0.185 | 5.556 | 2.169 | 0.000 | 0.000 | 0.472 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 65 | 70 | 49 | 20 | 0 | 0 | 27 | 0 | 0 |
N.S. |
1 | 1.08 | 0.75 | 0.31 | 0.00 | 0.00 | 0.42 | 0.00 | 0.00 |
time (sec) |
N/A | 0.165 | 5.357 | 2.143 | 0.000 | 0.000 | 0.494 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 41 | 20 | 0 | 0 | 27 | 0 | 0 |
N.S. |
1 | 1.00 | 0.87 | 0.43 | 0.00 | 0.00 | 0.57 | 0.00 | 0.00 |
time (sec) |
N/A | 0.146 | 5.042 | 2.132 | 0.000 | 0.000 | 0.469 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 24 | 18 | 0 | 0 | 26 | 0 | 16 |
N.S. |
1 | 1.00 | 0.89 | 0.67 | 0.00 | 0.00 | 0.96 | 0.00 | 0.59 |
time (sec) |
N/A | 0.134 | 4.880 | 2.107 | 0.000 | 0.000 | 0.432 | 0.000 | 0.084 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 27 | 20 | 0 | 0 | 29 | 0 | 36 |
N.S. |
1 | 1.00 | 0.55 | 0.41 | 0.00 | 0.00 | 0.59 | 0.00 | 0.73 |
time (sec) |
N/A | 0.148 | 5.243 | 7.741 | 0.000 | 0.000 | 0.494 | 0.000 | 4.729 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 67 | 72 | 29 | 20 | 0 | 0 | 32 | 0 | 0 |
N.S. |
1 | 1.07 | 0.43 | 0.30 | 0.00 | 0.00 | 0.48 | 0.00 | 0.00 |
time (sec) |
N/A | 0.163 | 10.009 | 2.158 | 0.000 | 0.000 | 0.537 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 85 | 95 | 29 | 20 | 0 | 0 | 32 | 0 | 0 |
N.S. |
1 | 1.12 | 0.34 | 0.24 | 0.00 | 0.00 | 0.38 | 0.00 | 0.00 |
time (sec) |
N/A | 0.182 | 10.009 | 2.152 | 0.000 | 0.000 | 0.608 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 83 | 93 | 59 | 20 | 0 | 0 | 29 | 0 | 0 |
N.S. |
1 | 1.12 | 0.71 | 0.24 | 0.00 | 0.00 | 0.35 | 0.00 | 0.00 |
time (sec) |
N/A | 0.179 | 5.640 | 2.179 | 0.000 | 0.000 | 0.496 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 65 | 70 | 54 | 20 | 0 | 0 | 29 | 0 | 0 |
N.S. |
1 | 1.08 | 0.83 | 0.31 | 0.00 | 0.00 | 0.45 | 0.00 | 0.00 |
time (sec) |
N/A | 0.169 | 5.524 | 2.168 | 0.000 | 0.000 | 0.457 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 47 | 20 | 0 | 0 | 29 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.43 | 0.00 | 0.00 | 0.62 | 0.00 | 0.00 |
time (sec) |
N/A | 0.150 | 5.117 | 2.178 | 0.000 | 0.000 | 0.440 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | F | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 27 | 18 | 0 | 0 | 27 | 0 | 16 |
N.S. |
1 | 1.00 | 1.00 | 0.67 | 0.00 | 0.00 | 1.00 | 0.00 | 0.59 |
time (sec) |
N/A | 0.134 | 4.991 | 2.140 | 0.000 | 0.000 | 0.424 | 0.000 | 0.076 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 27 | 20 | 0 | 0 | 31 | 0 | 36 |
N.S. |
1 | 1.00 | 0.55 | 0.41 | 0.00 | 0.00 | 0.63 | 0.00 | 0.73 |
time (sec) |
N/A | 0.149 | 5.398 | 2.172 | 0.000 | 0.000 | 0.504 | 0.000 | 4.604 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 67 | 72 | 29 | 20 | 0 | 0 | 34 | 0 | 0 |
N.S. |
1 | 1.07 | 0.43 | 0.30 | 0.00 | 0.00 | 0.51 | 0.00 | 0.00 |
time (sec) |
N/A | 0.163 | 10.014 | 2.167 | 0.000 | 0.000 | 0.549 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 85 | 95 | 29 | 20 | 0 | 0 | 34 | 0 | 0 |
N.S. |
1 | 1.12 | 0.34 | 0.24 | 0.00 | 0.00 | 0.40 | 0.00 | 0.00 |
time (sec) |
N/A | 0.187 | 10.012 | 2.167 | 0.000 | 0.000 | 0.602 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 258 | 289 | 68 | 42 | 0 | 0 | 29 | 0 | 0 |
N.S. |
1 | 1.12 | 0.26 | 0.16 | 0.00 | 0.00 | 0.11 | 0.00 | 0.00 |
time (sec) |
N/A | 0.321 | 5.331 | 2.193 | 0.000 | 0.000 | 0.517 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 240 | 266 | 63 | 42 | 0 | 0 | 29 | 0 | 0 |
N.S. |
1 | 1.11 | 0.26 | 0.18 | 0.00 | 0.00 | 0.12 | 0.00 | 0.00 |
time (sec) |
N/A | 0.307 | 5.187 | 2.191 | 0.000 | 0.000 | 0.467 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 222 | 243 | 57 | 42 | 0 | 0 | 29 | 0 | 0 |
N.S. |
1 | 1.09 | 0.26 | 0.19 | 0.00 | 0.00 | 0.13 | 0.00 | 0.00 |
time (sec) |
N/A | 0.282 | 5.247 | 2.185 | 0.000 | 0.000 | 0.447 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 199 | 224 | 43 | 40 | 0 | 0 | 27 | 0 | 34 |
N.S. |
1 | 1.13 | 0.22 | 0.20 | 0.00 | 0.00 | 0.14 | 0.00 | 0.17 |
time (sec) |
N/A | 0.269 | 5.026 | 2.115 | 0.000 | 0.000 | 0.417 | 0.000 | 4.410 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 221 | 245 | 46 | 42 | 0 | 0 | 31 | 0 | 36 |
N.S. |
1 | 1.11 | 0.21 | 0.19 | 0.00 | 0.00 | 0.14 | 0.00 | 0.16 |
time (sec) |
N/A | 0.287 | 5.050 | 2.146 | 0.000 | 0.000 | 0.454 | 0.000 | 4.550 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 242 | 268 | 48 | 42 | 0 | 0 | 34 | 0 | 0 |
N.S. |
1 | 1.11 | 0.20 | 0.17 | 0.00 | 0.00 | 0.14 | 0.00 | 0.00 |
time (sec) |
N/A | 0.308 | 10.009 | 2.194 | 0.000 | 0.000 | 0.519 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 260 | 291 | 48 | 42 | 0 | 0 | 34 | 0 | 0 |
N.S. |
1 | 1.12 | 0.18 | 0.16 | 0.00 | 0.00 | 0.13 | 0.00 | 0.00 |
time (sec) |
N/A | 0.325 | 10.009 | 2.208 | 0.000 | 0.000 | 0.597 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 260 | 299 | 68 | 23 | 0 | 0 | 34 | 0 | 0 |
N.S. |
1 | 1.15 | 0.26 | 0.09 | 0.00 | 0.00 | 0.13 | 0.00 | 0.00 |
time (sec) |
N/A | 0.324 | 5.242 | 2.149 | 0.000 | 0.000 | 0.488 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 242 | 276 | 63 | 23 | 0 | 0 | 34 | 0 | 0 |
N.S. |
1 | 1.14 | 0.26 | 0.10 | 0.00 | 0.00 | 0.14 | 0.00 | 0.00 |
time (sec) |
N/A | 0.300 | 5.056 | 2.167 | 0.000 | 0.000 | 0.437 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 224 | 253 | 58 | 23 | 0 | 0 | 34 | 0 | 0 |
N.S. |
1 | 1.13 | 0.26 | 0.10 | 0.00 | 0.00 | 0.15 | 0.00 | 0.00 |
time (sec) |
N/A | 0.281 | 4.967 | 2.138 | 0.000 | 0.000 | 0.425 | 0.000 | 0.000 |