Detailed conclusion table per each integral is given by the table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given as F.
In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 55 | 64 | 55 | 44 | 107 | 115 | 102 | 61 | 69 |
N.S. |
1 | 1.16 | 1.00 | 0.80 | 1.95 | 2.09 | 1.85 | 1.11 | 1.25 |
time (sec) |
N/A | 0.192 | 0.080 | 1.146 | 0.273 | 0.263 | 11.139 | 0.270 | 5.665 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | C | F(-2) | A | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 55 | 1277 | 42 | 2704 | 0 | 269 | 0 | 0 | 84 |
N.S. |
1 | 23.22 | 0.76 | 49.16 | 0.00 | 4.89 | 0.00 | 0.00 | 1.53 |
time (sec) |
N/A | 3.539 | 0.009 | 2.017 | 0.000 | 0.312 | 0.000 | 0.000 | 7.079 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | B | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 55 | 55 | 55 | 73 | 79 | 134 | 56 | 0 | 31 |
N.S. |
1 | 1.00 | 1.00 | 1.33 | 1.44 | 2.44 | 1.02 | 0.00 | 0.56 |
time (sec) |
N/A | 0.222 | 5.699 | 13.114 | 0.277 | 6.085 | 1.228 | 0.000 | 5.819 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | C | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 55 | 75 | 55 | 17 | 99 | 68 | 31 | 81 | 0 |
N.S. |
1 | 1.36 | 1.00 | 0.31 | 1.80 | 1.24 | 0.56 | 1.47 | 0.00 |
time (sec) |
N/A | 0.194 | 0.186 | 1.894 | 0.281 | 0.256 | 1.029 | 0.253 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | A | F(-1) |
verified |
N/A | No | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 55 | 85 | 81 | 33 | 0 | 93 | 0 | 53 | 0 |
N.S. |
1 | 1.55 | 1.47 | 0.60 | 0.00 | 1.69 | 0.00 | 0.96 | 0.00 |
time (sec) |
N/A | 0.259 | 4.052 | 7.157 | 0.000 | 0.767 | 0.000 | 0.263 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | A | F(-1) |
verified |
N/A | No | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 55 | 85 | 80 | 33 | 0 | 91 | 0 | 56 | 0 |
N.S. |
1 | 1.55 | 1.45 | 0.60 | 0.00 | 1.65 | 0.00 | 1.02 | 0.00 |
time (sec) |
N/A | 0.249 | 7.008 | 5.291 | 0.000 | 0.756 | 0.000 | 0.264 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 55 | 63 | 75 | 52 | 0 | 55 | 0 | 65 | 0 |
N.S. |
1 | 1.15 | 1.36 | 0.95 | 0.00 | 1.00 | 0.00 | 1.18 | 0.00 |
time (sec) |
N/A | 0.218 | 0.208 | 4.194 | 0.000 | 0.275 | 0.000 | 0.298 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 55 | 83 | 70 | 27 | 0 | 81 | 0 | 51 | 29 |
N.S. |
1 | 1.51 | 1.27 | 0.49 | 0.00 | 1.47 | 0.00 | 0.93 | 0.53 |
time (sec) |
N/A | 0.228 | 0.155 | 1.887 | 0.000 | 0.243 | 0.000 | 0.276 | 6.018 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 55 | 0 | 55 | 91 | 0 | 50 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 1.65 | 0.00 | 0.91 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 3.844 | 1.495 | 0.000 | 0.278 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 55 | 0 | 55 | 53 | 0 | 77 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.96 | 0.00 | 1.40 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.184 | 21.186 | 0.000 | 0.336 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 55 | 61 | 46 | 55 | 57 | 104 | 39 | 186 | 34 |
N.S. |
1 | 1.11 | 0.84 | 1.00 | 1.04 | 1.89 | 0.71 | 3.38 | 0.62 |
time (sec) |
N/A | 0.186 | 0.048 | 2.156 | 0.266 | 0.257 | 0.557 | 0.263 | 5.870 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 55 | 55 | 48 | 57 | 57 | 83 | 37 | 186 | 36 |
N.S. |
1 | 1.00 | 0.87 | 1.04 | 1.04 | 1.51 | 0.67 | 3.38 | 0.65 |
time (sec) |
N/A | 0.182 | 0.036 | 0.806 | 0.271 | 0.261 | 0.507 | 0.287 | 5.854 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 55 | 64 | 46 | 55 | 57 | 104 | 41 | 186 | 39 |
N.S. |
1 | 1.16 | 0.84 | 1.00 | 1.04 | 1.89 | 0.75 | 3.38 | 0.71 |
time (sec) |
N/A | 0.180 | 0.045 | 2.181 | 0.270 | 0.258 | 0.632 | 0.278 | 5.985 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 55 | 48 | 60 | 47 | 77 | 47 | 56 | 0 | 54 |
N.S. |
1 | 0.87 | 1.09 | 0.85 | 1.40 | 0.85 | 1.02 | 0.00 | 0.98 |
time (sec) |
N/A | 0.206 | 0.100 | 0.939 | 0.270 | 0.266 | 4.229 | 0.000 | 6.381 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 55 | 0 | 93 | 48 | 39 | 0 | 39 | 39 | 39 |
N.S. |
1 | 0.00 | 1.69 | 0.87 | 0.71 | 0.00 | 0.71 | 0.71 | 0.71 |
time (sec) |
N/A | 0.000 | 2.773 | 9.861 | 0.249 | 0.000 | 1.956 | 0.294 | 5.863 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 55 | 0 | 93 | 48 | 39 | 0 | 39 | 39 | 39 |
N.S. |
1 | 0.00 | 1.69 | 0.87 | 0.71 | 0.00 | 0.71 | 0.71 | 0.71 |
time (sec) |
N/A | 0.000 | 0.001 | 9.390 | 0.236 | 0.000 | 1.756 | 0.294 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 55 | 64 | 46 | 55 | 57 | 104 | 41 | 186 | 34 |
N.S. |
1 | 1.16 | 0.84 | 1.00 | 1.04 | 1.89 | 0.75 | 3.38 | 0.62 |
time (sec) |
N/A | 0.183 | 0.045 | 2.174 | 0.268 | 0.251 | 0.596 | 0.275 | 5.964 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 55 | 413 | 55 | 48 | 35 | 0 | 29 | 35 | 37 |
N.S. |
1 | 7.51 | 1.00 | 0.87 | 0.64 | 0.00 | 0.53 | 0.64 | 0.67 |
time (sec) |
N/A | 1.020 | 0.831 | 1.051 | 0.222 | 0.000 | 61.254 | 1.635 | 6.065 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 55 | 413 | 55 | 48 | 35 | 0 | 29 | 35 | 37 |
N.S. |
1 | 7.51 | 1.00 | 0.87 | 0.64 | 0.00 | 0.53 | 0.64 | 0.67 |
time (sec) |
N/A | 0.717 | 0.003 | 0.968 | 0.224 | 0.000 | 61.455 | 1.552 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 55 | 325 | 55 | 48 | 28 | 0 | 24 | 28 | 28 |
N.S. |
1 | 5.91 | 1.00 | 0.87 | 0.51 | 0.00 | 0.44 | 0.51 | 0.51 |
time (sec) |
N/A | 0.951 | 0.448 | 1.221 | 0.222 | 0.000 | 4.713 | 0.301 | 5.923 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 56 | 79 | 60 | 59 | 0 | 98 | 0 | 74 | 0 |
N.S. |
1 | 1.41 | 1.07 | 1.05 | 0.00 | 1.75 | 0.00 | 1.32 | 0.00 |
time (sec) |
N/A | 0.252 | 0.144 | 0.938 | 0.000 | 1.092 | 0.000 | 0.442 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 56 | 35 | 39 | 70 | 0 | 103 | 0 | 0 | 0 |
N.S. |
1 | 0.62 | 0.70 | 1.25 | 0.00 | 1.84 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.184 | 0.099 | 3.981 | 0.000 | 0.266 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 56 | 63 | 56 | 49 | 107 | 117 | 105 | 62 | 69 |
N.S. |
1 | 1.12 | 1.00 | 0.88 | 1.91 | 2.09 | 1.88 | 1.11 | 1.23 |
time (sec) |
N/A | 0.182 | 0.083 | 0.888 | 0.278 | 0.289 | 11.040 | 0.270 | 5.989 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | F(-1) | F(-1) | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 56 | 0 | 56 | 50 | 0 | 0 | 0 | 0 | 102 |
N.S. |
1 | 0.00 | 1.00 | 0.89 | 0.00 | 0.00 | 0.00 | 0.00 | 1.82 |
time (sec) |
N/A | 0.000 | 0.787 | 6.637 | 0.000 | 0.000 | 0.000 | 0.000 | 12.396 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 56 | 0 | 56 | 91 | 0 | 50 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 1.62 | 0.00 | 0.89 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 3.954 | 1.201 | 0.000 | 0.294 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 56 | 0 | 56 | 92 | 0 | 53 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 1.64 | 0.00 | 0.95 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 3.983 | 1.275 | 0.000 | 0.282 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | F(-1) | F | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 56 | 0 | 56 | 54 | 0 | 0 | 0 | 0 | 102 |
N.S. |
1 | 0.00 | 1.00 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 1.82 |
time (sec) |
N/A | 0.000 | 0.808 | 2.702 | 0.000 | 0.000 | 0.000 | 0.000 | 12.576 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 56 | 0 | 55 | 65 | 0 | 223 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.98 | 1.16 | 0.00 | 3.98 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 22.787 | 1.579 | 0.000 | 0.372 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | A | F | A | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 56 | 178 | 77 | 55 | 0 | 59 | 0 | 57 | 51 |
N.S. |
1 | 3.18 | 1.38 | 0.98 | 0.00 | 1.05 | 0.00 | 1.02 | 0.91 |
time (sec) |
N/A | 0.485 | 0.231 | 3.152 | 0.000 | 0.272 | 0.000 | 0.327 | 6.769 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 56 | 0 | 56 | 55 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.98 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 9.204 | 4.615 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 56 | 41 | 248 | 31 | 52 | 52 | 223 | 65 | 76 |
N.S. |
1 | 0.73 | 4.43 | 0.55 | 0.93 | 0.93 | 3.98 | 1.16 | 1.36 |
time (sec) |
N/A | 0.372 | 10.478 | 2.331 | 0.234 | 0.312 | 5.310 | 0.545 | 6.712 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 56 | 65 | 52 | 49 | 0 | 61 | 0 | 0 | 0 |
N.S. |
1 | 1.16 | 0.93 | 0.88 | 0.00 | 1.09 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.301 | 0.036 | 0.433 | 0.000 | 0.271 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 56 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 56 | 52 | 49 | 45 | 0 | 44 | 745 | 37 | 48 |
N.S. |
1 | 0.93 | 0.88 | 0.80 | 0.00 | 0.79 | 13.30 | 0.66 | 0.86 |
time (sec) |
N/A | 0.166 | 0.098 | 1.646 | 0.000 | 0.245 | 0.959 | 0.261 | 0.104 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | B | F(-1) | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 0 | 49 | 4588 | 0 | 345 | 0 | 0 | 122 |
N.S. |
1 | 0.00 | 0.86 | 80.49 | 0.00 | 6.05 | 0.00 | 0.00 | 2.14 |
time (sec) |
N/A | 0.000 | 15.231 | 2.060 | 0.000 | 0.500 | 0.000 | 0.000 | 9.154 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 0 | 38 | 34 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.67 | 0.60 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 10.689 | 4.148 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | C | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 57 | 75 | 56 | 33 | 99 | 70 | 32 | 82 | 0 |
N.S. |
1 | 1.32 | 0.98 | 0.58 | 1.74 | 1.23 | 0.56 | 1.44 | 0.00 |
time (sec) |
N/A | 0.215 | 0.170 | 1.759 | 0.275 | 0.274 | 1.138 | 0.295 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 93 | 75 | 30 | 0 | 72 | 0 | 60 | 0 |
N.S. |
1 | 1.63 | 1.32 | 0.53 | 0.00 | 1.26 | 0.00 | 1.05 | 0.00 |
time (sec) |
N/A | 0.270 | 0.232 | 1.415 | 0.000 | 0.266 | 0.000 | 0.286 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 0 | 57 | 81 | 0 | 180 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 1.42 | 0.00 | 3.16 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.825 | 6.576 | 0.000 | 0.352 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 50 | 61 | 68 | 126 | 37 | 0 | 0 |
N.S. |
1 | 1.00 | 0.88 | 1.07 | 1.19 | 2.21 | 0.65 | 0.00 | 0.00 |
time (sec) |
N/A | 0.182 | 0.262 | 2.387 | 0.285 | 0.269 | 0.527 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 57 | 281 | 57 | 50 | 23 | 0 | 19 | 23 | 24 |
N.S. |
1 | 4.93 | 1.00 | 0.88 | 0.40 | 0.00 | 0.33 | 0.40 | 0.42 |
time (sec) |
N/A | 0.389 | 0.314 | 1.218 | 0.222 | 0.000 | 5.430 | 0.302 | 5.501 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 461 | 48 | 63 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 8.09 | 0.84 | 1.11 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.487 | 8.369 | 2.516 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | A | F | B | F | F | F(-1) |
verified |
N/A | N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 0 | 0 | 79 | 0 | 124 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 1.39 | 0.00 | 2.18 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 7.462 | 0.000 | 48.024 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | A | A | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 0 | 57 | 22 | 0 | 61 | 17 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.39 | 0.00 | 1.07 | 0.30 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.084 | 0.109 | 0.000 | 0.469 | 0.451 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 58 | 82 | 84 | 92 | 0 | 76 | 0 | 0 | 100 |
N.S. |
1 | 1.41 | 1.45 | 1.59 | 0.00 | 1.31 | 0.00 | 0.00 | 1.72 |
time (sec) |
N/A | 0.690 | 0.476 | 5.515 | 0.000 | 0.284 | 0.000 | 0.000 | 0.093 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 58 | 82 | 84 | 92 | 0 | 76 | 0 | 0 | 100 |
N.S. |
1 | 1.41 | 1.45 | 1.59 | 0.00 | 1.31 | 0.00 | 0.00 | 1.72 |
time (sec) |
N/A | 0.668 | 0.467 | 3.649 | 0.000 | 0.299 | 0.000 | 0.000 | 5.704 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 58 | 82 | 84 | 92 | 0 | 76 | 0 | 0 | 100 |
N.S. |
1 | 1.41 | 1.45 | 1.59 | 0.00 | 1.31 | 0.00 | 0.00 | 1.72 |
time (sec) |
N/A | 0.673 | 0.449 | 3.783 | 0.000 | 0.282 | 0.000 | 0.000 | 5.411 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 58 | 192 | 70 | 200 | 0 | 193 | 0 | 0 | 0 |
N.S. |
1 | 3.31 | 1.21 | 3.45 | 0.00 | 3.33 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.455 | 0.104 | 2.189 | 0.000 | 1.723 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 58 | 96 | 75 | 54 | 0 | 54 | 0 | 61 | 0 |
N.S. |
1 | 1.66 | 1.29 | 0.93 | 0.00 | 0.93 | 0.00 | 1.05 | 0.00 |
time (sec) |
N/A | 0.240 | 0.198 | 3.402 | 0.000 | 0.282 | 0.000 | 0.301 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 58 | 46 | 58 | 39 | 0 | 63 | 0 | 0 | 0 |
N.S. |
1 | 0.79 | 1.00 | 0.67 | 0.00 | 1.09 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.336 | 0.463 | 4.625 | 0.000 | 0.311 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 58 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 59 | 82 | 79 | 41 | 0 | 89 | 0 | 0 | 223 |
N.S. |
1 | 1.39 | 1.34 | 0.69 | 0.00 | 1.51 | 0.00 | 0.00 | 3.78 |
time (sec) |
N/A | 0.684 | 0.254 | 2.546 | 0.000 | 0.274 | 0.000 | 0.000 | 5.623 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 59 | 0 | 38 | 34 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.64 | 0.58 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 10.487 | 4.100 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 59 | 71 | 59 | 48 | 158 | 138 | 128 | 70 | 74 |
N.S. |
1 | 1.20 | 1.00 | 0.81 | 2.68 | 2.34 | 2.17 | 1.19 | 1.25 |
time (sec) |
N/A | 0.188 | 0.108 | 0.944 | 0.276 | 0.276 | 28.784 | 0.269 | 5.892 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 59 | 69 | 59 | 48 | 158 | 136 | 128 | 69 | 74 |
N.S. |
1 | 1.17 | 1.00 | 0.81 | 2.68 | 2.31 | 2.17 | 1.17 | 1.25 |
time (sec) |
N/A | 0.191 | 0.114 | 0.942 | 0.267 | 0.263 | 30.596 | 0.282 | 5.780 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | F(-1) | F(-1) | A | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 59 | 0 | 38 | 34 | 0 | 0 | 0 | 62 | 0 |
N.S. |
1 | 0.00 | 0.64 | 0.58 | 0.00 | 0.00 | 0.00 | 1.05 | 0.00 |
time (sec) |
N/A | 0.000 | 10.574 | 5.717 | 0.000 | 0.000 | 0.000 | 0.546 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | F(-1) | F(-1) | A | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 59 | 0 | 38 | 34 | 0 | 0 | 0 | 69 | 0 |
N.S. |
1 | 0.00 | 0.64 | 0.58 | 0.00 | 0.00 | 0.00 | 1.17 | 0.00 |
time (sec) |
N/A | 0.000 | 10.742 | 6.220 | 0.000 | 0.000 | 0.000 | 0.539 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 59 | 92 | 82 | 33 | 0 | 110 | 0 | 57 | 31 |
N.S. |
1 | 1.56 | 1.39 | 0.56 | 0.00 | 1.86 | 0.00 | 0.97 | 0.53 |
time (sec) |
N/A | 0.209 | 0.167 | 3.003 | 0.000 | 0.719 | 0.000 | 0.272 | 5.789 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 59 | 110 | 89 | 17 | 0 | 102 | 0 | 57 | 0 |
N.S. |
1 | 1.86 | 1.51 | 0.29 | 0.00 | 1.73 | 0.00 | 0.97 | 0.00 |
time (sec) |
N/A | 0.255 | 0.188 | 2.717 | 0.000 | 0.772 | 0.000 | 0.270 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 59 | 253 | 59 | 74 | 0 | 92 | 0 | 0 | 0 |
N.S. |
1 | 4.29 | 1.00 | 1.25 | 0.00 | 1.56 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.133 | 0.594 | 5.481 | 0.000 | 0.283 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 59 | 0 | 56 | 85 | 0 | 168 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.95 | 1.44 | 0.00 | 2.85 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.184 | 10.007 | 0.000 | 0.337 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 59 | 50 | 50 | 38 | 0 | 132 | 0 | 0 | 0 |
N.S. |
1 | 0.85 | 0.85 | 0.64 | 0.00 | 2.24 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.248 | 0.549 | 1.769 | 0.000 | 0.315 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 59 | 0 | 59 | 66 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 1.12 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 11.129 | 1.911 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 59 | 107 | 60 | 47 | 77 | 47 | 56 | 0 | 54 |
N.S. |
1 | 1.81 | 1.02 | 0.80 | 1.31 | 0.80 | 0.95 | 0.00 | 0.92 |
time (sec) |
N/A | 0.224 | 0.112 | 0.984 | 0.279 | 0.272 | 4.174 | 0.000 | 6.314 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 59 | 0 | 59 | 48 | 34 | 0 | 34 | 34 | 37 |
N.S. |
1 | 0.00 | 1.00 | 0.81 | 0.58 | 0.00 | 0.58 | 0.58 | 0.63 |
time (sec) |
N/A | 0.000 | 0.262 | 37.506 | 0.305 | 0.000 | 1.922 | 0.300 | 5.642 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 59 | 0 | 59 | 48 | 34 | 0 | 34 | 34 | 37 |
N.S. |
1 | 0.00 | 1.00 | 0.81 | 0.58 | 0.00 | 0.58 | 0.58 | 0.63 |
time (sec) |
N/A | 0.000 | 0.002 | 30.764 | 0.302 | 0.000 | 1.918 | 0.278 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 59 | 0 | 59 | 48 | 35 | 0 | 34 | 35 | 35 |
N.S. |
1 | 0.00 | 1.00 | 0.81 | 0.59 | 0.00 | 0.58 | 0.59 | 0.59 |
time (sec) |
N/A | 0.000 | 0.263 | 5.030 | 0.217 | 0.000 | 2.068 | 0.290 | 5.534 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 59 | 0 | 59 | 48 | 35 | 0 | 34 | 35 | 35 |
N.S. |
1 | 0.00 | 1.00 | 0.81 | 0.59 | 0.00 | 0.58 | 0.59 | 0.59 |
time (sec) |
N/A | 0.000 | 0.002 | 4.276 | 0.215 | 0.000 | 1.957 | 0.278 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 59 | 0 | 97 | 53 | 43 | 0 | 41 | 43 | 43 |
N.S. |
1 | 0.00 | 1.64 | 0.90 | 0.73 | 0.00 | 0.69 | 0.73 | 0.73 |
time (sec) |
N/A | 0.000 | 2.782 | 9.658 | 0.245 | 0.000 | 1.844 | 0.294 | 6.014 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 59 | 0 | 97 | 53 | 43 | 0 | 41 | 43 | 43 |
N.S. |
1 | 0.00 | 1.64 | 0.90 | 0.73 | 0.00 | 0.69 | 0.73 | 0.73 |
time (sec) |
N/A | 0.000 | 0.001 | 9.699 | 0.247 | 0.000 | 1.884 | 0.297 | 0.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 59 | 0 | 59 | 48 | 41 | 0 | 37 | 41 | 46 |
N.S. |
1 | 0.00 | 1.00 | 0.81 | 0.69 | 0.00 | 0.63 | 0.69 | 0.78 |
time (sec) |
N/A | 0.000 | 0.271 | 38.807 | 0.221 | 0.000 | 2.046 | 0.285 | 5.664 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 59 | 0 | 59 | 48 | 41 | 0 | 37 | 41 | 46 |
N.S. |
1 | 0.00 | 1.00 | 0.81 | 0.69 | 0.00 | 0.63 | 0.69 | 0.78 |
time (sec) |
N/A | 0.000 | 0.001 | 31.066 | 0.232 | 0.000 | 2.099 | 0.300 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 59 | 460 | 50 | 70 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 7.80 | 0.85 | 1.19 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.476 | 8.846 | 2.638 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F(-1) | N/A | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 59 | 0 | 59 | 0 | 38 | 0 | 34 | 38 | 38 |
N.S. |
1 | 0.00 | 1.00 | 0.00 | 0.64 | 0.00 | 0.58 | 0.64 | 0.64 |
time (sec) |
N/A | 0.000 | 1.388 | 0.000 | 0.227 | 0.000 | 4.478 | 0.303 | 5.676 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | C | F(-2) | B | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 454 | 289 | 8138 | 0 | 349 | 0 | 0 | 711 |
N.S. |
1 | 7.57 | 4.82 | 135.63 | 0.00 | 5.82 | 0.00 | 0.00 | 11.85 |
time (sec) |
N/A | 11.232 | 31.995 | 2.575 | 0.000 | 12.245 | 0.000 | 0.000 | 5.733 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | C | F(-2) | B | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 469 | 308 | 9198 | 0 | 379 | 0 | 0 | 690 |
N.S. |
1 | 7.82 | 5.13 | 153.30 | 0.00 | 6.32 | 0.00 | 0.00 | 11.50 |
time (sec) |
N/A | 13.835 | 33.096 | 2.593 | 0.000 | 16.762 | 0.000 | 0.000 | 5.757 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 93 | 39 | 36 | 0 | 92 | 0 | 0 | 64 |
N.S. |
1 | 1.55 | 0.65 | 0.60 | 0.00 | 1.53 | 0.00 | 0.00 | 1.07 |
time (sec) |
N/A | 0.605 | 10.919 | 2.682 | 0.000 | 0.272 | 0.000 | 0.000 | 7.809 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | C | C | F | B | F(-1) | F(-1) | B |
verified |
N/A | N/A | No | No | TBD | TBD | TBD | TBD | TBD |
size | 60 | 0 | 3908 | 510 | 0 | 638 | 0 | 0 | 946 |
N.S. |
1 | 0.00 | 65.13 | 8.50 | 0.00 | 10.63 | 0.00 | 0.00 | 15.77 |
time (sec) |
N/A | 0.000 | 24.880 | 3.794 | 0.000 | 26.539 | 0.000 | 0.000 | 6.833 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F(-1) | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 0 | 58 | 55 | 0 | 244 | 0 | 0 | 79 |
N.S. |
1 | 0.00 | 0.97 | 0.92 | 0.00 | 4.07 | 0.00 | 0.00 | 1.32 |
time (sec) |
N/A | 0.000 | 0.474 | 7.473 | 0.000 | 0.284 | 0.000 | 0.000 | 6.691 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 85 | 85 | 37 | 0 | 219 | 0 | 0 | 78 |
N.S. |
1 | 1.42 | 1.42 | 0.62 | 0.00 | 3.65 | 0.00 | 0.00 | 1.30 |
time (sec) |
N/A | 0.613 | 1.140 | 5.143 | 0.000 | 0.281 | 0.000 | 0.000 | 8.476 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | C | C | F | B | F(-1) | F(-2) | B |
verified |
N/A | N/A | No | No | TBD | TBD | TBD | TBD | TBD |
size | 60 | 0 | 4752 | 534 | 0 | 651 | 0 | 0 | 569 |
N.S. |
1 | 0.00 | 79.20 | 8.90 | 0.00 | 10.85 | 0.00 | 0.00 | 9.48 |
time (sec) |
N/A | 0.000 | 24.014 | 3.950 | 0.000 | 49.383 | 0.000 | 0.000 | 27.823 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 49 | 61 | 42 | 81 | 85 | 58 | 118 | 45 |
N.S. |
1 | 0.82 | 1.02 | 0.70 | 1.35 | 1.42 | 0.97 | 1.97 | 0.75 |
time (sec) |
N/A | 0.217 | 0.172 | 0.938 | 0.269 | 0.260 | 2.759 | 0.273 | 6.289 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 41 | 58 | 38 | 78 | 73 | 75 | 81 | 42 |
N.S. |
1 | 0.68 | 0.97 | 0.63 | 1.30 | 1.22 | 1.25 | 1.35 | 0.70 |
time (sec) |
N/A | 0.204 | 0.103 | 0.904 | 0.282 | 0.252 | 3.025 | 0.270 | 6.428 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 59 | 68 | 58 | 67 | 65 | 153 | 0 | 0 |
N.S. |
1 | 0.98 | 1.13 | 0.97 | 1.12 | 1.08 | 2.55 | 0.00 | 0.00 |
time (sec) |
N/A | 0.228 | 0.162 | 1.250 | 0.266 | 0.264 | 3.083 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 52 | 65 | 57 | 64 | 62 | 168 | 0 | 0 |
N.S. |
1 | 0.87 | 1.08 | 0.95 | 1.07 | 1.03 | 2.80 | 0.00 | 0.00 |
time (sec) |
N/A | 0.218 | 0.144 | 1.204 | 0.268 | 0.265 | 3.295 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | C | F(-1) | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 60 | 720 | 60 | 53 | 50 | 11793 | 0 | 50 | 50 |
N.S. |
1 | 12.00 | 1.00 | 0.88 | 0.83 | 196.55 | 0.00 | 0.83 | 0.83 |
time (sec) |
N/A | 8.919 | 15.760 | 35.789 | 0.276 | 1.589 | 0.000 | 1.503 | 6.322 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | C | F(-1) | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 60 | 720 | 60 | 53 | 50 | 11793 | 0 | 50 | 50 |
N.S. |
1 | 12.00 | 1.00 | 0.88 | 0.83 | 196.55 | 0.00 | 0.83 | 0.83 |
time (sec) |
N/A | 7.871 | 0.002 | 1.762 | 0.285 | 1.564 | 0.000 | 1.502 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | A | F | C | F(-1) | F | B |
verified |
N/A | N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 0 | 0 | 65 | 0 | 389 | 0 | 0 | 217 |
N.S. |
1 | 0.00 | 0.00 | 1.08 | 0.00 | 6.48 | 0.00 | 0.00 | 3.62 |
time (sec) |
N/A | 0.000 | 0.000 | 2.760 | 0.000 | 0.309 | 0.000 | 0.000 | 10.733 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 209 | 149 | 72 | 0 | 75 | 0 | 0 | 0 |
N.S. |
1 | 3.48 | 2.48 | 1.20 | 0.00 | 1.25 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.056 | 10.245 | 4.895 | 0.000 | 0.279 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | A | F | C | F(-1) | F | B |
verified |
N/A | N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 0 | 0 | 69 | 0 | 341 | 0 | 0 | 98 |
N.S. |
1 | 0.00 | 0.00 | 1.15 | 0.00 | 5.68 | 0.00 | 0.00 | 1.63 |
time (sec) |
N/A | 0.000 | 0.000 | 2.814 | 0.000 | 0.328 | 0.000 | 0.000 | 8.915 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 60 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 70 | 59 | 130 | 27 | 27 | 0 | 0 | 0 |
N.S. |
1 | 1.17 | 0.98 | 2.17 | 0.45 | 0.45 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.089 | 1.035 | 2.054 | 0.285 | 0.258 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | N/A | N/A | C | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 61 | 319 | 61 | 13410 | 20 | 451 | 14 | 20 | 20 |
N.S. |
1 | 5.23 | 1.00 | 219.84 | 0.33 | 7.39 | 0.23 | 0.33 | 0.33 |
time (sec) |
N/A | 0.486 | 0.044 | 18.059 | 0.229 | 0.275 | 0.664 | 0.281 | 5.672 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | N/A | N/A | C | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 61 | 309 | 61 | 2779 | 20 | 451 | 14 | 20 | 20 |
N.S. |
1 | 5.07 | 1.00 | 45.56 | 0.33 | 7.39 | 0.23 | 0.33 | 0.33 |
time (sec) |
N/A | 0.472 | 0.042 | 4.668 | 0.215 | 0.259 | 0.608 | 0.283 | 5.692 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | C | F | F | F(-1) |
verified |
N/A | N/A | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 61 | 0 | 54 | 507 | 0 | 438 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.89 | 8.31 | 0.00 | 7.18 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 10.356 | 7.618 | 0.000 | 3.473 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 349 | 73 | 64 | 0 | 239 | 0 | 0 | 234 |
N.S. |
1 | 5.72 | 1.20 | 1.05 | 0.00 | 3.92 | 0.00 | 0.00 | 3.84 |
time (sec) |
N/A | 1.092 | 0.291 | 5.005 | 0.000 | 0.273 | 0.000 | 0.000 | 5.846 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 333 | 61 | 43 | 0 | 90 | 0 | 0 | 0 |
N.S. |
1 | 5.46 | 1.00 | 0.70 | 0.00 | 1.48 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.951 | 1.038 | 2.514 | 0.000 | 0.291 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | B | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 61 | 73 | 81 | 101 | 56 | 0 | 33 |
N.S. |
1 | 1.00 | 1.00 | 1.20 | 1.33 | 1.66 | 0.92 | 0.00 | 0.54 |
time (sec) |
N/A | 0.245 | 5.284 | 1.833 | 0.274 | 2.758 | 1.405 | 0.000 | 6.168 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 54 | 71 | 74 | 134 | 41 | 0 | 0 |
N.S. |
1 | 1.00 | 0.89 | 1.16 | 1.21 | 2.20 | 0.67 | 0.00 | 0.00 |
time (sec) |
N/A | 0.184 | 0.236 | 2.601 | 0.262 | 0.268 | 0.614 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F(-1) | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 0 | 84 | 74 | 0 | 121 | 0 | 0 | 81 |
N.S. |
1 | 0.00 | 1.38 | 1.21 | 0.00 | 1.98 | 0.00 | 0.00 | 1.33 |
time (sec) |
N/A | 0.000 | 3.750 | 1.065 | 0.000 | 0.276 | 0.000 | 0.000 | 9.475 |