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 | Reduce | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 53 | 0 | 0 | 0 | 27 | 0 | 34 | 0 |
N.S. |
1 | 1.00 | 0.72 | 0.00 | 0.00 | 0.00 | 0.36 | 0.00 | 0.46 | 0.00 |
time (sec) |
N/A | 0.171 | 5.848 | 0.000 | 0.000 | 0.000 | 0.473 | 0.000 | 0.207 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 56 | 56 | 55 | 0 | 0 | 0 | 24 | 0 | 30 | 37 |
N.S. |
1 | 1.00 | 0.98 | 0.00 | 0.00 | 0.00 | 0.43 | 0.00 | 0.54 | 0.66 |
time (sec) |
N/A | 0.158 | 0.007 | 0.000 | 0.000 | 0.000 | 0.457 | 0.000 | 0.236 | 0.289 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 52 | 0 | 0 | 0 | 27 | 0 | 33 | 40 |
N.S. |
1 | 1.00 | 0.68 | 0.00 | 0.00 | 0.00 | 0.36 | 0.00 | 0.43 | 0.53 |
time (sec) |
N/A | 0.172 | 6.074 | 0.000 | 0.000 | 0.000 | 0.558 | 0.000 | 0.221 | 0.549 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 102 | 106 | 54 | 0 | 0 | 0 | 32 | 0 | 33 | 0 |
N.S. |
1 | 1.04 | 0.53 | 0.00 | 0.00 | 0.00 | 0.31 | 0.00 | 0.32 | 0.00 |
time (sec) |
N/A | 0.195 | 10.010 | 0.000 | 0.000 | 0.000 | 0.597 | 0.000 | 0.211 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 126 | 136 | 54 | 0 | 0 | 0 | 32 | 0 | 33 | 0 |
N.S. |
1 | 1.08 | 0.43 | 0.00 | 0.00 | 0.00 | 0.25 | 0.00 | 0.26 | 0.00 |
time (sec) |
N/A | 0.211 | 10.009 | 0.000 | 0.000 | 0.000 | 0.676 | 0.000 | 0.263 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 124 | 138 | 78 | 0 | 0 | 0 | 29 | 0 | 37 | 0 |
N.S. |
1 | 1.11 | 0.63 | 0.00 | 0.00 | 0.00 | 0.23 | 0.00 | 0.30 | 0.00 |
time (sec) |
N/A | 0.214 | 6.497 | 0.000 | 0.000 | 0.000 | 0.521 | 0.000 | 0.224 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 101 | 107 | 66 | 0 | 0 | 0 | 29 | 0 | 37 | 0 |
N.S. |
1 | 1.06 | 0.65 | 0.00 | 0.00 | 0.00 | 0.29 | 0.00 | 0.37 | 0.00 |
time (sec) |
N/A | 0.190 | 6.327 | 0.000 | 0.000 | 0.000 | 0.489 | 0.000 | 0.211 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 56 | 0 | 0 | 0 | 29 | 0 | 37 | 0 |
N.S. |
1 | 1.00 | 0.73 | 0.00 | 0.00 | 0.00 | 0.38 | 0.00 | 0.48 | 0.00 |
time (sec) |
N/A | 0.169 | 5.922 | 0.000 | 0.000 | 0.000 | 0.479 | 0.000 | 0.196 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 56 | 0 | 0 | 0 | 26 | 0 | 33 | 38 |
N.S. |
1 | 1.00 | 0.73 | 0.00 | 0.00 | 0.00 | 0.34 | 0.00 | 0.43 | 0.49 |
time (sec) |
N/A | 0.165 | 0.008 | 0.000 | 0.000 | 0.000 | 0.500 | 0.000 | 0.221 | 0.310 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 99 | 105 | 53 | 0 | 0 | 0 | 29 | 0 | 36 | 41 |
N.S. |
1 | 1.06 | 0.54 | 0.00 | 0.00 | 0.00 | 0.29 | 0.00 | 0.36 | 0.41 |
time (sec) |
N/A | 0.198 | 6.182 | 0.000 | 0.000 | 0.000 | 0.578 | 0.000 | 0.215 | 0.564 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 126 | 136 | 55 | 0 | 0 | 0 | 34 | 0 | 36 | 0 |
N.S. |
1 | 1.08 | 0.44 | 0.00 | 0.00 | 0.00 | 0.27 | 0.00 | 0.29 | 0.00 |
time (sec) |
N/A | 0.216 | 10.009 | 0.000 | 0.000 | 0.000 | 0.644 | 0.000 | 0.247 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 151 | 167 | 55 | 0 | 0 | 0 | 34 | 0 | 36 | 0 |
N.S. |
1 | 1.11 | 0.36 | 0.00 | 0.00 | 0.00 | 0.23 | 0.00 | 0.24 | 0.00 |
time (sec) |
N/A | 0.246 | 10.009 | 0.000 | 0.000 | 0.000 | 0.686 | 0.000 | 0.269 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 121 | 137 | 79 | 0 | 0 | 0 | 27 | 0 | 34 | 0 |
N.S. |
1 | 1.13 | 0.65 | 0.00 | 0.00 | 0.00 | 0.22 | 0.00 | 0.28 | 0.00 |
time (sec) |
N/A | 0.213 | 7.650 | 0.000 | 0.000 | 0.000 | 0.538 | 0.000 | 0.228 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 99 | 105 | 65 | 0 | 0 | 0 | 27 | 0 | 34 | 0 |
N.S. |
1 | 1.06 | 0.66 | 0.00 | 0.00 | 0.00 | 0.27 | 0.00 | 0.34 | 0.00 |
time (sec) |
N/A | 0.190 | 7.517 | 0.000 | 0.000 | 0.000 | 0.534 | 0.000 | 0.209 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 55 | 0 | 0 | 0 | 27 | 0 | 34 | 0 |
N.S. |
1 | 1.00 | 0.71 | 0.00 | 0.00 | 0.00 | 0.35 | 0.00 | 0.44 | 0.00 |
time (sec) |
N/A | 0.169 | 7.193 | 0.000 | 0.000 | 0.000 | 0.531 | 0.000 | 0.215 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 55 | 0 | 0 | 0 | 24 | 0 | 30 | 37 |
N.S. |
1 | 1.00 | 0.71 | 0.00 | 0.00 | 0.00 | 0.31 | 0.00 | 0.38 | 0.47 |
time (sec) |
N/A | 0.166 | 0.008 | 0.000 | 0.000 | 0.000 | 0.572 | 0.000 | 0.230 | 0.330 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 101 | 105 | 52 | 0 | 0 | 0 | 27 | 0 | 33 | 40 |
N.S. |
1 | 1.04 | 0.51 | 0.00 | 0.00 | 0.00 | 0.27 | 0.00 | 0.33 | 0.40 |
time (sec) |
N/A | 0.187 | 7.319 | 0.000 | 0.000 | 0.000 | 0.659 | 0.000 | 0.240 | 0.602 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 121 | 133 | 54 | 0 | 0 | 0 | 32 | 0 | 33 | 0 |
N.S. |
1 | 1.10 | 0.45 | 0.00 | 0.00 | 0.00 | 0.26 | 0.00 | 0.27 | 0.00 |
time (sec) |
N/A | 0.210 | 10.009 | 0.000 | 0.000 | 0.000 | 0.725 | 0.000 | 0.228 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 147 | 165 | 54 | 0 | 0 | 0 | 32 | 0 | 33 | 0 |
N.S. |
1 | 1.12 | 0.37 | 0.00 | 0.00 | 0.00 | 0.22 | 0.00 | 0.22 | 0.00 |
time (sec) |
N/A | 0.234 | 10.011 | 0.000 | 0.000 | 0.000 | 0.810 | 0.000 | 0.248 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 126 | 142 | 80 | 0 | 0 | 0 | 29 | 0 | 37 | 0 |
N.S. |
1 | 1.13 | 0.63 | 0.00 | 0.00 | 0.00 | 0.23 | 0.00 | 0.29 | 0.00 |
time (sec) |
N/A | 0.210 | 7.479 | 0.000 | 0.000 | 0.000 | 0.551 | 0.000 | 0.240 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 103 | 109 | 66 | 0 | 0 | 0 | 29 | 0 | 37 | 0 |
N.S. |
1 | 1.06 | 0.64 | 0.00 | 0.00 | 0.00 | 0.28 | 0.00 | 0.36 | 0.00 |
time (sec) |
N/A | 0.185 | 7.487 | 0.000 | 0.000 | 0.000 | 0.558 | 0.000 | 0.232 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 59 | 0 | 0 | 0 | 29 | 0 | 37 | 0 |
N.S. |
1 | 1.00 | 0.73 | 0.00 | 0.00 | 0.00 | 0.36 | 0.00 | 0.46 | 0.00 |
time (sec) |
N/A | 0.168 | 7.015 | 0.000 | 0.000 | 0.000 | 0.547 | 0.000 | 0.232 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 56 | 0 | 0 | 0 | 26 | 0 | 33 | 38 |
N.S. |
1 | 1.00 | 0.69 | 0.00 | 0.00 | 0.00 | 0.32 | 0.00 | 0.41 | 0.47 |
time (sec) |
N/A | 0.166 | 0.010 | 0.000 | 0.000 | 0.000 | 0.565 | 0.000 | 0.235 | 0.333 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 105 | 108 | 53 | 0 | 0 | 0 | 29 | 0 | 36 | 41 |
N.S. |
1 | 1.03 | 0.50 | 0.00 | 0.00 | 0.00 | 0.28 | 0.00 | 0.34 | 0.39 |
time (sec) |
N/A | 0.189 | 7.548 | 0.000 | 0.000 | 0.000 | 0.639 | 0.000 | 0.223 | 0.639 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 126 | 137 | 55 | 0 | 0 | 0 | 34 | 0 | 36 | 0 |
N.S. |
1 | 1.09 | 0.44 | 0.00 | 0.00 | 0.00 | 0.27 | 0.00 | 0.29 | 0.00 |
time (sec) |
N/A | 0.217 | 10.014 | 0.000 | 0.000 | 0.000 | 0.738 | 0.000 | 0.231 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 153 | 170 | 55 | 0 | 0 | 0 | 34 | 0 | 36 | 0 |
N.S. |
1 | 1.11 | 0.36 | 0.00 | 0.00 | 0.00 | 0.22 | 0.00 | 0.24 | 0.00 |
time (sec) |
N/A | 0.234 | 10.010 | 0.000 | 0.000 | 0.000 | 0.890 | 0.000 | 0.248 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 99 | 110 | 54 | 20 | 0 | 0 | 27 | 0 | 15 | 0 |
N.S. |
1 | 1.11 | 0.55 | 0.20 | 0.00 | 0.00 | 0.27 | 0.00 | 0.15 | 0.00 |
time (sec) |
N/A | 0.194 | 5.116 | 0.351 | 0.000 | 0.000 | 0.462 | 0.000 | 0.257 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 81 | 87 | 49 | 20 | 0 | 0 | 27 | 0 | 15 | 0 |
N.S. |
1 | 1.07 | 0.60 | 0.25 | 0.00 | 0.00 | 0.33 | 0.00 | 0.19 | 0.00 |
time (sec) |
N/A | 0.176 | 5.111 | 0.341 | 0.000 | 0.000 | 0.441 | 0.000 | 0.248 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 63 | 64 | 41 | 20 | 0 | 0 | 27 | 0 | 15 | 0 |
N.S. |
1 | 1.02 | 0.65 | 0.32 | 0.00 | 0.00 | 0.43 | 0.00 | 0.24 | 0.00 |
time (sec) |
N/A | 0.158 | 4.984 | 0.329 | 0.000 | 0.000 | 0.393 | 0.000 | 0.217 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 24 | 18 | 0 | 0 | 26 | 0 | 11 | 16 |
N.S. |
1 | 1.00 | 0.56 | 0.42 | 0.00 | 0.00 | 0.60 | 0.00 | 0.26 | 0.37 |
time (sec) |
N/A | 0.148 | 4.942 | 0.246 | 0.000 | 0.000 | 0.377 | 0.000 | 0.238 | 0.100 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 63 | 66 | 27 | 20 | 0 | 0 | 29 | 0 | 15 | 36 |
N.S. |
1 | 1.05 | 0.43 | 0.32 | 0.00 | 0.00 | 0.46 | 0.00 | 0.24 | 0.57 |
time (sec) |
N/A | 0.159 | 4.848 | 0.328 | 0.000 | 0.000 | 0.398 | 0.000 | 0.245 | 0.440 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 83 | 89 | 29 | 20 | 0 | 0 | 32 | 0 | 15 | 0 |
N.S. |
1 | 1.07 | 0.35 | 0.24 | 0.00 | 0.00 | 0.39 | 0.00 | 0.18 | 0.00 |
time (sec) |
N/A | 0.178 | 10.005 | 0.345 | 0.000 | 0.000 | 0.477 | 0.000 | 0.252 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 101 | 112 | 29 | 20 | 0 | 0 | 32 | 0 | 15 | 0 |
N.S. |
1 | 1.11 | 0.29 | 0.20 | 0.00 | 0.00 | 0.32 | 0.00 | 0.15 | 0.00 |
time (sec) |
N/A | 0.191 | 10.005 | 0.342 | 0.000 | 0.000 | 0.496 | 0.000 | 0.265 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 83 | 93 | 54 | 20 | 0 | 0 | 29 | 0 | 15 | 0 |
N.S. |
1 | 1.12 | 0.65 | 0.24 | 0.00 | 0.00 | 0.35 | 0.00 | 0.18 | 0.00 |
time (sec) |
N/A | 0.184 | 4.980 | 0.366 | 0.000 | 0.000 | 0.460 | 0.000 | 0.230 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 65 | 70 | 49 | 20 | 0 | 0 | 29 | 0 | 15 | 0 |
N.S. |
1 | 1.08 | 0.75 | 0.31 | 0.00 | 0.00 | 0.45 | 0.00 | 0.23 | 0.00 |
time (sec) |
N/A | 0.167 | 4.780 | 0.359 | 0.000 | 0.000 | 0.434 | 0.000 | 0.234 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 41 | 20 | 0 | 0 | 29 | 0 | 15 | 0 |
N.S. |
1 | 1.00 | 0.87 | 0.43 | 0.00 | 0.00 | 0.62 | 0.00 | 0.32 | 0.00 |
time (sec) |
N/A | 0.152 | 4.690 | 0.342 | 0.000 | 0.000 | 0.413 | 0.000 | 0.219 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 24 | 18 | 0 | 0 | 27 | 0 | 11 | 16 |
N.S. |
1 | 1.00 | 0.86 | 0.64 | 0.00 | 0.00 | 0.96 | 0.00 | 0.39 | 0.57 |
time (sec) |
N/A | 0.140 | 4.674 | 0.331 | 0.000 | 0.000 | 0.403 | 0.000 | 0.234 | 0.239 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 27 | 20 | 0 | 0 | 31 | 0 | 15 | 36 |
N.S. |
1 | 1.00 | 0.57 | 0.43 | 0.00 | 0.00 | 0.66 | 0.00 | 0.32 | 0.77 |
time (sec) |
N/A | 0.153 | 4.738 | 0.353 | 0.000 | 0.000 | 0.434 | 0.000 | 0.237 | 0.437 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 67 | 70 | 29 | 20 | 0 | 0 | 34 | 0 | 15 | 0 |
N.S. |
1 | 1.04 | 0.43 | 0.30 | 0.00 | 0.00 | 0.51 | 0.00 | 0.22 | 0.00 |
time (sec) |
N/A | 0.167 | 10.006 | 0.369 | 0.000 | 0.000 | 0.473 | 0.000 | 0.220 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 85 | 93 | 29 | 20 | 0 | 0 | 34 | 0 | 15 | 0 |
N.S. |
1 | 1.09 | 0.34 | 0.24 | 0.00 | 0.00 | 0.40 | 0.00 | 0.18 | 0.00 |
time (sec) |
N/A | 0.182 | 10.006 | 0.362 | 0.000 | 0.000 | 0.524 | 0.000 | 0.260 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | A | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 83 | 93 | 54 | 20 | 0 | 0 | 27 | 0 | 15 | 0 |
N.S. |
1 | 1.12 | 0.65 | 0.24 | 0.00 | 0.00 | 0.33 | 0.00 | 0.18 | 0.00 |
time (sec) |
N/A | 0.183 | 5.249 | 0.352 | 0.000 | 0.000 | 0.444 | 0.000 | 0.241 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | A | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 65 | 70 | 49 | 20 | 0 | 0 | 27 | 0 | 15 | 0 |
N.S. |
1 | 1.08 | 0.75 | 0.31 | 0.00 | 0.00 | 0.42 | 0.00 | 0.23 | 0.00 |
time (sec) |
N/A | 0.166 | 5.120 | 0.324 | 0.000 | 0.000 | 0.402 | 0.000 | 0.225 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | A | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 41 | 20 | 0 | 0 | 27 | 0 | 15 | 0 |
N.S. |
1 | 1.00 | 0.87 | 0.43 | 0.00 | 0.00 | 0.57 | 0.00 | 0.32 | 0.00 |
time (sec) |
N/A | 0.149 | 4.763 | 0.324 | 0.000 | 0.000 | 0.412 | 0.000 | 0.268 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | A | F | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 24 | 18 | 0 | 0 | 26 | 0 | 11 | 16 |
N.S. |
1 | 1.00 | 0.89 | 0.67 | 0.00 | 0.00 | 0.96 | 0.00 | 0.41 | 0.59 |
time (sec) |
N/A | 0.138 | 4.629 | 0.246 | 0.000 | 0.000 | 0.430 | 0.000 | 0.239 | 0.221 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | A | F | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 27 | 20 | 0 | 0 | 29 | 0 | 15 | 36 |
N.S. |
1 | 1.00 | 0.55 | 0.41 | 0.00 | 0.00 | 0.59 | 0.00 | 0.31 | 0.73 |
time (sec) |
N/A | 0.150 | 5.003 | 0.368 | 0.000 | 0.000 | 0.460 | 0.000 | 0.235 | 0.389 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | A | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 67 | 72 | 29 | 20 | 0 | 0 | 32 | 0 | 15 | 0 |
N.S. |
1 | 1.07 | 0.43 | 0.30 | 0.00 | 0.00 | 0.48 | 0.00 | 0.22 | 0.00 |
time (sec) |
N/A | 0.166 | 10.005 | 0.373 | 0.000 | 0.000 | 0.491 | 0.000 | 0.226 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | A | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 85 | 95 | 29 | 20 | 0 | 0 | 32 | 0 | 15 | 0 |
N.S. |
1 | 1.12 | 0.34 | 0.24 | 0.00 | 0.00 | 0.38 | 0.00 | 0.18 | 0.00 |
time (sec) |
N/A | 0.176 | 10.006 | 0.347 | 0.000 | 0.000 | 0.541 | 0.000 | 0.236 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 83 | 93 | 59 | 20 | 0 | 0 | 29 | 0 | 15 | 0 |
N.S. |
1 | 1.12 | 0.71 | 0.24 | 0.00 | 0.00 | 0.35 | 0.00 | 0.18 | 0.00 |
time (sec) |
N/A | 0.177 | 5.277 | 0.332 | 0.000 | 0.000 | 0.448 | 0.000 | 0.240 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 65 | 70 | 54 | 20 | 0 | 0 | 29 | 0 | 15 | 0 |
N.S. |
1 | 1.08 | 0.83 | 0.31 | 0.00 | 0.00 | 0.45 | 0.00 | 0.23 | 0.00 |
time (sec) |
N/A | 0.163 | 5.150 | 0.318 | 0.000 | 0.000 | 0.433 | 0.000 | 0.223 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 47 | 20 | 0 | 0 | 29 | 0 | 15 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.43 | 0.00 | 0.00 | 0.62 | 0.00 | 0.32 | 0.00 |
time (sec) |
N/A | 0.147 | 4.765 | 0.327 | 0.000 | 0.000 | 0.416 | 0.000 | 0.259 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | F | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 27 | 18 | 0 | 0 | 27 | 0 | 11 | 16 |
N.S. |
1 | 1.00 | 1.00 | 0.67 | 0.00 | 0.00 | 1.00 | 0.00 | 0.41 | 0.59 |
time (sec) |
N/A | 0.133 | 4.647 | 0.284 | 0.000 | 0.000 | 0.392 | 0.000 | 0.230 | 0.086 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | A | F | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 27 | 20 | 0 | 0 | 31 | 0 | 15 | 36 |
N.S. |
1 | 1.00 | 0.55 | 0.41 | 0.00 | 0.00 | 0.63 | 0.00 | 0.31 | 0.73 |
time (sec) |
N/A | 0.150 | 5.043 | 0.310 | 0.000 | 0.000 | 0.487 | 0.000 | 0.200 | 0.453 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | A | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 67 | 72 | 29 | 20 | 0 | 0 | 34 | 0 | 15 | 0 |
N.S. |
1 | 1.07 | 0.43 | 0.30 | 0.00 | 0.00 | 0.51 | 0.00 | 0.22 | 0.00 |
time (sec) |
N/A | 0.162 | 10.005 | 0.298 | 0.000 | 0.000 | 0.501 | 0.000 | 0.262 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | A | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 85 | 95 | 29 | 20 | 0 | 0 | 34 | 0 | 15 | 0 |
N.S. |
1 | 1.12 | 0.34 | 0.24 | 0.00 | 0.00 | 0.40 | 0.00 | 0.18 | 0.00 |
time (sec) |
N/A | 0.177 | 10.005 | 0.303 | 0.000 | 0.000 | 0.560 | 0.000 | 0.256 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | A | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD | TBD |
size | 258 | 289 | 68 | 42 | 0 | 0 | 29 | 0 | 15 | 0 |
N.S. |
1 | 1.12 | 0.26 | 0.16 | 0.00 | 0.00 | 0.11 | 0.00 | 0.06 | 0.00 |
time (sec) |
N/A | 0.316 | 5.001 | 0.362 | 0.000 | 0.000 | 0.472 | 0.000 | 0.240 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | A | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD | TBD |
size | 240 | 266 | 63 | 42 | 0 | 0 | 29 | 0 | 15 | 0 |
N.S. |
1 | 1.11 | 0.26 | 0.18 | 0.00 | 0.00 | 0.12 | 0.00 | 0.06 | 0.00 |
time (sec) |
N/A | 0.305 | 4.767 | 0.349 | 0.000 | 0.000 | 0.434 | 0.000 | 0.208 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | A | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD | TBD |
size | 222 | 243 | 57 | 42 | 0 | 0 | 29 | 0 | 15 | 0 |
N.S. |
1 | 1.09 | 0.26 | 0.19 | 0.00 | 0.00 | 0.13 | 0.00 | 0.07 | 0.00 |
time (sec) |
N/A | 0.282 | 4.691 | 0.335 | 0.000 | 0.000 | 0.396 | 0.000 | 0.231 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | A | F | F | C | F | F | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD | TBD |
size | 199 | 224 | 43 | 40 | 0 | 0 | 27 | 0 | 11 | 34 |
N.S. |
1 | 1.13 | 0.22 | 0.20 | 0.00 | 0.00 | 0.14 | 0.00 | 0.06 | 0.17 |
time (sec) |
N/A | 0.265 | 4.663 | 0.267 | 0.000 | 0.000 | 0.391 | 0.000 | 0.198 | 0.215 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | A | F | F | C | F | F | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD | TBD |
size | 221 | 245 | 46 | 42 | 0 | 0 | 31 | 0 | 15 | 36 |
N.S. |
1 | 1.11 | 0.21 | 0.19 | 0.00 | 0.00 | 0.14 | 0.00 | 0.07 | 0.16 |
time (sec) |
N/A | 0.280 | 4.732 | 0.362 | 0.000 | 0.000 | 0.453 | 0.000 | 0.241 | 0.336 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | A | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD | TBD |
size | 242 | 268 | 48 | 42 | 0 | 0 | 34 | 0 | 15 | 0 |
N.S. |
1 | 1.11 | 0.20 | 0.17 | 0.00 | 0.00 | 0.14 | 0.00 | 0.06 | 0.00 |
time (sec) |
N/A | 0.300 | 10.006 | 0.373 | 0.000 | 0.000 | 0.483 | 0.000 | 0.260 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | A | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD | TBD |
size | 260 | 291 | 48 | 42 | 0 | 0 | 34 | 0 | 15 | 0 |
N.S. |
1 | 1.12 | 0.18 | 0.16 | 0.00 | 0.00 | 0.13 | 0.00 | 0.06 | 0.00 |
time (sec) |
N/A | 0.314 | 10.006 | 0.389 | 0.000 | 0.000 | 0.511 | 0.000 | 0.212 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | A | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 260 | 299 | 68 | 23 | 0 | 0 | 34 | 0 | 15 | 0 |
N.S. |
1 | 1.15 | 0.26 | 0.09 | 0.00 | 0.00 | 0.13 | 0.00 | 0.06 | 0.00 |
time (sec) |
N/A | 0.322 | 5.039 | 0.375 | 0.000 | 0.000 | 0.438 | 0.000 | 0.235 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | A | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 242 | 276 | 63 | 23 | 0 | 0 | 34 | 0 | 15 | 0 |
N.S. |
1 | 1.14 | 0.26 | 0.10 | 0.00 | 0.00 | 0.14 | 0.00 | 0.06 | 0.00 |
time (sec) |
N/A | 0.308 | 4.824 | 0.375 | 0.000 | 0.000 | 0.419 | 0.000 | 0.251 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | A | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 224 | 253 | 58 | 23 | 0 | 0 | 34 | 0 | 15 | 0 |
N.S. |
1 | 1.13 | 0.26 | 0.10 | 0.00 | 0.00 | 0.15 | 0.00 | 0.07 | 0.00 |
time (sec) |
N/A | 0.285 | 4.735 | 0.326 | 0.000 | 0.000 | 0.409 | 0.000 | 0.232 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | A | F | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 202 | 234 | 43 | 21 | 0 | 0 | 32 | 0 | 11 | 34 |
N.S. |
1 | 1.16 | 0.21 | 0.10 | 0.00 | 0.00 | 0.16 | 0.00 | 0.05 | 0.17 |
time (sec) |
N/A | 0.261 | 4.727 | 0.263 | 0.000 | 0.000 | 0.387 | 0.000 | 0.224 | 0.082 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | A | F | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 223 | 255 | 46 | 23 | 0 | 0 | 36 | 0 | 15 | 36 |
N.S. |
1 | 1.14 | 0.21 | 0.10 | 0.00 | 0.00 | 0.16 | 0.00 | 0.07 | 0.16 |
time (sec) |
N/A | 0.289 | 4.772 | 0.370 | 0.000 | 0.000 | 0.459 | 0.000 | 0.229 | 0.419 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | A | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 244 | 278 | 48 | 23 | 0 | 0 | 39 | 0 | 15 | 0 |
N.S. |
1 | 1.14 | 0.20 | 0.09 | 0.00 | 0.00 | 0.16 | 0.00 | 0.06 | 0.00 |
time (sec) |
N/A | 0.308 | 10.006 | 0.325 | 0.000 | 0.000 | 0.496 | 0.000 | 0.252 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | A | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 262 | 301 | 48 | 23 | 0 | 0 | 39 | 0 | 15 | 0 |
N.S. |
1 | 1.15 | 0.18 | 0.09 | 0.00 | 0.00 | 0.15 | 0.00 | 0.06 | 0.00 |
time (sec) |
N/A | 0.328 | 10.007 | 0.345 | 0.000 | 0.000 | 0.542 | 0.000 | 0.234 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | A | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD | TBD |
size | 138 | 148 | 68 | 42 | 0 | 0 | 31 | 0 | 15 | 0 |
N.S. |
1 | 1.07 | 0.49 | 0.30 | 0.00 | 0.00 | 0.22 | 0.00 | 0.11 | 0.00 |
time (sec) |
N/A | 0.233 | 5.248 | 0.363 | 0.000 | 0.000 | 0.464 | 0.000 | 0.231 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | A | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD | TBD |
size | 120 | 125 | 63 | 42 | 0 | 0 | 31 | 0 | 15 | 0 |
N.S. |
1 | 1.04 | 0.52 | 0.35 | 0.00 | 0.00 | 0.26 | 0.00 | 0.12 | 0.00 |
time (sec) |
N/A | 0.213 | 5.127 | 0.358 | 0.000 | 0.000 | 0.417 | 0.000 | 0.256 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | A | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 57 | 42 | 0 | 0 | 31 | 0 | 15 | 0 |
N.S. |
1 | 1.00 | 0.56 | 0.41 | 0.00 | 0.00 | 0.30 | 0.00 | 0.15 | 0.00 |
time (sec) |
N/A | 0.194 | 4.756 | 0.376 | 0.000 | 0.000 | 0.421 | 0.000 | 0.251 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | A | F | F | C | F | F | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 43 | 40 | 0 | 0 | 29 | 0 | 11 | 34 |
N.S. |
1 | 1.00 | 0.52 | 0.49 | 0.00 | 0.00 | 0.35 | 0.00 | 0.13 | 0.41 |
time (sec) |
N/A | 0.182 | 4.651 | 0.278 | 0.000 | 0.000 | 0.396 | 0.000 | 0.254 | 0.088 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | A | F | F | C | F | F | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD | TBD |
size | 104 | 104 | 46 | 42 | 0 | 0 | 29 | 0 | 15 | 23 |
N.S. |
1 | 1.00 | 0.44 | 0.40 | 0.00 | 0.00 | 0.28 | 0.00 | 0.14 | 0.22 |
time (sec) |
N/A | 0.196 | 5.042 | 0.357 | 0.000 | 0.000 | 0.476 | 0.000 | 0.261 | 0.423 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | A | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD | TBD |
size | 122 | 127 | 48 | 42 | 0 | 0 | 32 | 0 | 15 | 0 |
N.S. |
1 | 1.04 | 0.39 | 0.34 | 0.00 | 0.00 | 0.26 | 0.00 | 0.12 | 0.00 |
time (sec) |
N/A | 0.214 | 10.006 | 0.371 | 0.000 | 0.000 | 0.508 | 0.000 | 0.224 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | A | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD | TBD |
size | 140 | 150 | 48 | 42 | 0 | 0 | 32 | 0 | 15 | 0 |
N.S. |
1 | 1.07 | 0.34 | 0.30 | 0.00 | 0.00 | 0.23 | 0.00 | 0.11 | 0.00 |
time (sec) |
N/A | 0.225 | 10.006 | 0.380 | 0.000 | 0.000 | 0.550 | 0.000 | 0.221 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | A | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 139 | 149 | 68 | 23 | 0 | 0 | 36 | 0 | 15 | 0 |
N.S. |
1 | 1.07 | 0.49 | 0.17 | 0.00 | 0.00 | 0.26 | 0.00 | 0.11 | 0.00 |
time (sec) |
N/A | 0.226 | 5.296 | 0.331 | 0.000 | 0.000 | 0.433 | 0.000 | 0.244 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | A | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 121 | 126 | 63 | 23 | 0 | 0 | 36 | 0 | 15 | 0 |
N.S. |
1 | 1.04 | 0.52 | 0.19 | 0.00 | 0.00 | 0.30 | 0.00 | 0.12 | 0.00 |
time (sec) |
N/A | 0.208 | 5.170 | 0.293 | 0.000 | 0.000 | 0.462 | 0.000 | 0.254 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | A | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 58 | 23 | 0 | 0 | 36 | 0 | 15 | 0 |
N.S. |
1 | 1.00 | 0.56 | 0.22 | 0.00 | 0.00 | 0.35 | 0.00 | 0.15 | 0.00 |
time (sec) |
N/A | 0.200 | 4.814 | 0.286 | 0.000 | 0.000 | 0.395 | 0.000 | 0.212 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | A | F | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 84 | 84 | 43 | 21 | 0 | 0 | 34 | 0 | 11 | 34 |
N.S. |
1 | 1.00 | 0.51 | 0.25 | 0.00 | 0.00 | 0.40 | 0.00 | 0.13 | 0.40 |
time (sec) |
N/A | 0.181 | 4.685 | 0.275 | 0.000 | 0.000 | 0.378 | 0.000 | 0.219 | 0.082 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | A | F | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 46 | 23 | 0 | 0 | 34 | 0 | 15 | 36 |
N.S. |
1 | 1.00 | 0.44 | 0.22 | 0.00 | 0.00 | 0.32 | 0.00 | 0.14 | 0.34 |
time (sec) |
N/A | 0.192 | 5.060 | 0.286 | 0.000 | 0.000 | 0.466 | 0.000 | 0.244 | 0.374 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | A | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 123 | 128 | 48 | 23 | 0 | 0 | 37 | 0 | 15 | 0 |
N.S. |
1 | 1.04 | 0.39 | 0.19 | 0.00 | 0.00 | 0.30 | 0.00 | 0.12 | 0.00 |
time (sec) |
N/A | 0.213 | 10.007 | 0.287 | 0.000 | 0.000 | 0.501 | 0.000 | 0.235 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | A | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 141 | 151 | 48 | 23 | 0 | 0 | 37 | 0 | 15 | 0 |
N.S. |
1 | 1.07 | 0.34 | 0.16 | 0.00 | 0.00 | 0.26 | 0.00 | 0.11 | 0.00 |
time (sec) |
N/A | 0.227 | 10.006 | 0.302 | 0.000 | 0.000 | 0.576 | 0.000 | 0.227 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | F | F | F(-1) | C | F | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 261 | 333 | 177 | 0 | 0 | 0 | 48 | 0 | 65 | 0 |
N.S. |
1 | 1.28 | 0.68 | 0.00 | 0.00 | 0.00 | 0.18 | 0.00 | 0.25 | 0.00 |
time (sec) |
N/A | 0.510 | 0.563 | 0.000 | 0.000 | 0.000 | 4.489 | 0.000 | 0.286 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | F | F | F(-1) | C | F | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 227 | 295 | 162 | 0 | 0 | 0 | 48 | 0 | 37 | 0 |
N.S. |
1 | 1.30 | 0.71 | 0.00 | 0.00 | 0.00 | 0.21 | 0.00 | 0.16 | 0.00 |
time (sec) |
N/A | 0.474 | 0.345 | 0.000 | 0.000 | 0.000 | 1.006 | 0.000 | 0.233 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | F | F | F(-1) | C | F | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 214 | 293 | 161 | 0 | 0 | 0 | 51 | 0 | 18 | 0 |
N.S. |
1 | 1.37 | 0.75 | 0.00 | 0.00 | 0.00 | 0.24 | 0.00 | 0.08 | 0.00 |
time (sec) |
N/A | 0.480 | 0.310 | 0.000 | 0.000 | 0.000 | 1.189 | 0.000 | 200.031 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | F | A | C | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 27 | 22 | 0 | 35 | 178 | 0 | 36 | 38 |
N.S. |
1 | 1.00 | 0.93 | 0.76 | 0.00 | 1.21 | 6.14 | 0.00 | 1.24 | 1.31 |
time (sec) |
N/A | 0.147 | 0.129 | 0.279 | 0.000 | 0.083 | 4.425 | 0.000 | 0.228 | 0.357 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | F | A | C | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 60 | 59 | 48 | 32 | 0 | 46 | 462 | 0 | 47 | 51 |
N.S. |
1 | 0.98 | 0.80 | 0.53 | 0.00 | 0.77 | 7.70 | 0.00 | 0.78 | 0.85 |
time (sec) |
N/A | 0.171 | 0.146 | 0.276 | 0.000 | 0.122 | 41.652 | 0.000 | 0.207 | 0.392 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 92 | 96 | 48 | 43 | 0 | 58 | 0 | 0 | 59 | 65 |
N.S. |
1 | 1.04 | 0.52 | 0.47 | 0.00 | 0.63 | 0.00 | 0.00 | 0.64 | 0.71 |
time (sec) |
N/A | 0.194 | 0.156 | 0.287 | 0.000 | 0.103 | 0.000 | 0.000 | 0.243 | 0.458 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 124 | 133 | 59 | 54 | 0 | 69 | 0 | 0 | 70 | 79 |
N.S. |
1 | 1.07 | 0.48 | 0.44 | 0.00 | 0.56 | 0.00 | 0.00 | 0.56 | 0.64 |
time (sec) |
N/A | 0.221 | 1.415 | 0.289 | 0.000 | 0.112 | 0.000 | 0.000 | 0.215 | 0.467 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 122 | 126 | 88 | 0 | 0 | 0 | 48 | 0 | 73 | 0 |
N.S. |
1 | 1.03 | 0.72 | 0.00 | 0.00 | 0.00 | 0.39 | 0.00 | 0.60 | 0.00 |
time (sec) |
N/A | 0.296 | 10.032 | 0.000 | 0.000 | 0.000 | 1.231 | 0.000 | 0.215 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 92 | 95 | 55 | 0 | 0 | 0 | 39 | 0 | 24 | 0 |
N.S. |
1 | 1.03 | 0.60 | 0.00 | 0.00 | 0.00 | 0.42 | 0.00 | 0.26 | 0.00 |
time (sec) |
N/A | 0.262 | 10.010 | 0.000 | 0.000 | 0.000 | 0.676 | 0.000 | 0.196 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 97 | 100 | 57 | 0 | 0 | 0 | 36 | 0 | 62 | 0 |
N.S. |
1 | 1.03 | 0.59 | 0.00 | 0.00 | 0.00 | 0.37 | 0.00 | 0.64 | 0.00 |
time (sec) |
N/A | 0.264 | 10.013 | 0.000 | 0.000 | 0.000 | 1.745 | 0.000 | 0.230 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 127 | 138 | 57 | 0 | 0 | 0 | 39 | 0 | 64 | 0 |
N.S. |
1 | 1.09 | 0.45 | 0.00 | 0.00 | 0.00 | 0.31 | 0.00 | 0.50 | 0.00 |
time (sec) |
N/A | 0.295 | 10.013 | 0.000 | 0.000 | 0.000 | 14.056 | 0.000 | 0.278 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 159 | 179 | 57 | 0 | 0 | 0 | 39 | 0 | 64 | 0 |
N.S. |
1 | 1.13 | 0.36 | 0.00 | 0.00 | 0.00 | 0.25 | 0.00 | 0.40 | 0.00 |
time (sec) |
N/A | 0.326 | 10.012 | 0.000 | 0.000 | 0.000 | 139.765 | 0.000 | 0.248 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | F | F | C | C | F | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 228 | 291 | 161 | 0 | 0 | 324 | 46 | 0 | 20 | 0 |
N.S. |
1 | 1.28 | 0.71 | 0.00 | 0.00 | 1.42 | 0.20 | 0.00 | 0.09 | 0.00 |
time (sec) |
N/A | 0.470 | 0.466 | 0.000 | 0.000 | 0.108 | 1.201 | 0.000 | 0.207 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | F | F | C | C | F | B | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 190 | 259 | 125 | 0 | 0 | 262 | 46 | 0 | 39 | 0 |
N.S. |
1 | 1.36 | 0.66 | 0.00 | 0.00 | 1.38 | 0.24 | 0.00 | 0.21 | 0.00 |
time (sec) |
N/A | 0.427 | 0.300 | 0.000 | 0.000 | 0.099 | 0.776 | 0.000 | 0.234 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | F | A | C | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 27 | 22 | 0 | 26 | 88 | 0 | 75 | 26 |
N.S. |
1 | 1.00 | 0.93 | 0.76 | 0.00 | 0.90 | 3.03 | 0.00 | 2.59 | 0.90 |
time (sec) |
N/A | 0.148 | 0.161 | 0.301 | 0.000 | 0.089 | 1.775 | 0.000 | 0.230 | 0.485 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | F | A | C | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 60 | 59 | 37 | 32 | 0 | 36 | 343 | 0 | 97 | 41 |
N.S. |
1 | 0.98 | 0.62 | 0.53 | 0.00 | 0.60 | 5.72 | 0.00 | 1.62 | 0.68 |
time (sec) |
N/A | 0.173 | 0.184 | 0.290 | 0.000 | 0.090 | 20.137 | 0.000 | 0.249 | 0.523 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | F | A | C | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 92 | 96 | 48 | 43 | 0 | 47 | 1221 | 0 | 116 | 55 |
N.S. |
1 | 1.04 | 0.52 | 0.47 | 0.00 | 0.51 | 13.27 | 0.00 | 1.26 | 0.60 |
time (sec) |
N/A | 0.199 | 0.204 | 0.278 | 0.000 | 0.093 | 171.189 | 0.000 | 0.302 | 0.528 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F | F(-1) |
verified | N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 128 | 131 | 71 | 0 | 0 | 0 | 46 | 0 | 24 | 0 |
N.S. |
1 | 1.02 | 0.55 | 0.00 | 0.00 | 0.00 | 0.36 | 0.00 | 0.19 | 0.00 |
time (sec) |
N/A | 0.252 | 10.020 | 0.000 | 0.000 | 0.000 | 2.998 | 0.000 | 0.225 | 0.000 |