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 | A | A | A | B | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 12 | 15 | 19 | 30 | 37 | 15 | 14 | 12 |
N.S. |
1 | 1.00 | 1.00 | 1.25 | 1.58 | 2.50 | 3.08 | 1.25 | 1.17 | 1.00 |
time (sec) |
N/A | 0.153 | 0.003 | 0.036 | 0.026 | 0.076 | 0.944 | 0.152 | 0.191 | 0.105 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 11 | 12 | 13 | 19 | 0 | 13 | 19 | 11 |
N.S. |
1 | 1.00 | 1.00 | 1.09 | 1.18 | 1.73 | 0.00 | 1.18 | 1.73 | 1.00 |
time (sec) |
N/A | 0.175 | 0.018 | 0.115 | 0.025 | 0.066 | 0.000 | 0.130 | 0.190 | 16.243 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | B | A | A | B | F | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 75 | 38 | 46 | 72 | 0 | 92 | 41 | 36 |
N.S. |
1 | 1.00 | 2.21 | 1.12 | 1.35 | 2.12 | 0.00 | 2.71 | 1.21 | 1.06 |
time (sec) |
N/A | 0.228 | 0.015 | 0.114 | 0.032 | 0.079 | 0.000 | 0.160 | 0.199 | 0.069 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 24 | 35 | 23 | 25 | 45 | 0 | 25 | 31 | 21 |
N.S. |
1 | 0.89 | 1.30 | 0.85 | 0.93 | 1.67 | 0.00 | 0.93 | 1.15 | 0.78 |
time (sec) |
N/A | 0.187 | 0.012 | 0.143 | 0.029 | 0.069 | 0.000 | 0.170 | 0.197 | 15.635 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | B | A | A | B | F | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 55 | 60 | 113 | 50 | 71 | 112 | 0 | 138 | 58 | 59 |
N.S. |
1 | 1.09 | 2.05 | 0.91 | 1.29 | 2.04 | 0.00 | 2.51 | 1.05 | 1.07 |
time (sec) |
N/A | 0.314 | 0.015 | 0.184 | 0.026 | 0.074 | 0.000 | 0.164 | 0.198 | 0.102 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 42 | 36 | 56 | 33 | 35 | 64 | 0 | 35 | 41 | 38 |
N.S. |
1 | 0.86 | 1.33 | 0.79 | 0.83 | 1.52 | 0.00 | 0.83 | 0.98 | 0.90 |
time (sec) |
N/A | 0.195 | 0.015 | 0.175 | 0.025 | 0.065 | 0.000 | 0.137 | 0.198 | 15.929 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | B | F | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 76 | 86 | 151 | 60 | 91 | 155 | 0 | 182 | 74 | 78 |
N.S. |
1 | 1.13 | 1.99 | 0.79 | 1.20 | 2.04 | 0.00 | 2.39 | 0.97 | 1.03 |
time (sec) |
N/A | 0.406 | 0.020 | 0.231 | 0.026 | 0.082 | 0.000 | 0.152 | 0.211 | 0.138 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 55 | 44 | 77 | 43 | 45 | 87 | 0 | 45 | 51 | 41 |
N.S. |
1 | 0.80 | 1.40 | 0.78 | 0.82 | 1.58 | 0.00 | 0.82 | 0.93 | 0.75 |
time (sec) |
N/A | 0.199 | 0.018 | 0.226 | 0.031 | 0.067 | 0.000 | 0.152 | 0.188 | 16.481 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 90 | 91 | 63 | 160 | 0 | 120 | 0 | 0 | 18 | 0 |
N.S. |
1 | 1.01 | 0.70 | 1.78 | 0.00 | 1.33 | 0.00 | 0.00 | 0.20 | 0.00 |
time (sec) |
N/A | 0.409 | 0.149 | 0.167 | 0.000 | 0.086 | 0.000 | 0.000 | 0.205 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 50 | 88 | 0 | 88 | 0 | 0 | 18 | 0 |
N.S. |
1 | 1.00 | 0.75 | 1.31 | 0.00 | 1.31 | 0.00 | 0.00 | 0.27 | 0.00 |
time (sec) |
N/A | 0.303 | 0.068 | 0.082 | 0.000 | 0.090 | 0.000 | 0.000 | 0.193 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 49 | 132 | 0 | 72 | 0 | 0 | 16 | 0 |
N.S. |
1 | 1.00 | 0.78 | 2.10 | 0.00 | 1.14 | 0.00 | 0.00 | 0.25 | 0.00 |
time (sec) |
N/A | 0.305 | 0.045 | 0.072 | 0.000 | 0.081 | 0.000 | 0.000 | 0.191 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 40 | 69 | 0 | 51 | 0 | 0 | 9 | 61 |
N.S. |
1 | 1.00 | 0.98 | 1.68 | 0.00 | 1.24 | 0.00 | 0.00 | 0.22 | 1.49 |
time (sec) |
N/A | 0.225 | 0.031 | 0.116 | 0.000 | 0.082 | 0.000 | 0.000 | 0.191 | 14.897 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 40 | 91 | 0 | 55 | 0 | 0 | 18 | 0 |
N.S. |
1 | 1.00 | 0.98 | 2.22 | 0.00 | 1.34 | 0.00 | 0.00 | 0.44 | 0.00 |
time (sec) |
N/A | 0.231 | 0.035 | 0.153 | 0.000 | 0.081 | 0.000 | 0.000 | 0.195 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 53 | 88 | 0 | 68 | 0 | 0 | 18 | 0 |
N.S. |
1 | 1.00 | 0.79 | 1.31 | 0.00 | 1.01 | 0.00 | 0.00 | 0.27 | 0.00 |
time (sec) |
N/A | 0.308 | 0.046 | 0.089 | 0.000 | 0.082 | 0.000 | 0.000 | 0.197 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 60 | 142 | 0 | 85 | 0 | 0 | 18 | 0 |
N.S. |
1 | 1.00 | 0.90 | 2.12 | 0.00 | 1.27 | 0.00 | 0.00 | 0.27 | 0.00 |
time (sec) |
N/A | 0.303 | 0.084 | 0.080 | 0.000 | 0.082 | 0.000 | 0.000 | 0.194 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 90 | 95 | 65 | 104 | 0 | 81 | 0 | 0 | 18 | 0 |
N.S. |
1 | 1.06 | 0.72 | 1.16 | 0.00 | 0.90 | 0.00 | 0.00 | 0.20 | 0.00 |
time (sec) |
N/A | 0.396 | 0.120 | 0.070 | 0.000 | 0.088 | 0.000 | 0.000 | 0.194 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | C | F | C | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 103 | 105 | 67 | 248 | 0 | 150 | 0 | 0 | 24 | 0 |
N.S. |
1 | 1.02 | 0.65 | 2.41 | 0.00 | 1.46 | 0.00 | 0.00 | 0.23 | 0.00 |
time (sec) |
N/A | 0.468 | 0.154 | 0.841 | 0.000 | 0.078 | 0.000 | 0.000 | 0.197 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 55 | 137 | 0 | 105 | 0 | 0 | 24 | 0 |
N.S. |
1 | 1.00 | 0.73 | 1.83 | 0.00 | 1.40 | 0.00 | 0.00 | 0.32 | 0.00 |
time (sec) |
N/A | 0.334 | 0.141 | 0.306 | 0.000 | 0.083 | 0.000 | 0.000 | 0.198 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 54 | 223 | 0 | 83 | 0 | 0 | 20 | 0 |
N.S. |
1 | 1.00 | 0.76 | 3.14 | 0.00 | 1.17 | 0.00 | 0.00 | 0.28 | 0.00 |
time (sec) |
N/A | 0.329 | 0.092 | 0.197 | 0.000 | 0.084 | 0.000 | 0.000 | 0.197 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 42 | 120 | 0 | 55 | 0 | 0 | 12 | 63 |
N.S. |
1 | 1.00 | 0.98 | 2.79 | 0.00 | 1.28 | 0.00 | 0.00 | 0.28 | 1.47 |
time (sec) |
N/A | 0.233 | 0.031 | 0.229 | 0.000 | 0.075 | 0.000 | 0.000 | 0.191 | 15.184 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 42 | 243 | 0 | 62 | 0 | 0 | 24 | 0 |
N.S. |
1 | 1.00 | 0.98 | 5.65 | 0.00 | 1.44 | 0.00 | 0.00 | 0.56 | 0.00 |
time (sec) |
N/A | 0.232 | 0.034 | 0.296 | 0.000 | 0.074 | 0.000 | 0.000 | 0.196 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 63 | 142 | 0 | 85 | 0 | 0 | 24 | 0 |
N.S. |
1 | 1.00 | 0.82 | 1.84 | 0.00 | 1.10 | 0.00 | 0.00 | 0.31 | 0.00 |
time (sec) |
N/A | 0.325 | 0.067 | 0.252 | 0.000 | 0.079 | 0.000 | 0.000 | 0.182 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 60 | 257 | 0 | 96 | 0 | 0 | 24 | 0 |
N.S. |
1 | 1.00 | 0.78 | 3.34 | 0.00 | 1.25 | 0.00 | 0.00 | 0.31 | 0.00 |
time (sec) |
N/A | 0.327 | 0.108 | 0.388 | 0.000 | 0.085 | 0.000 | 0.000 | 0.184 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 105 | 113 | 70 | 158 | 0 | 98 | 0 | 0 | 24 | 0 |
N.S. |
1 | 1.08 | 0.67 | 1.50 | 0.00 | 0.93 | 0.00 | 0.00 | 0.23 | 0.00 |
time (sec) |
N/A | 0.439 | 0.109 | 0.474 | 0.000 | 0.084 | 0.000 | 0.000 | 0.177 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 54 | 0 | 0 | 0 | 0 | 0 | 10 | 0 |
N.S. |
1 | 1.00 | 1.06 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.20 | 0.00 |
time (sec) |
N/A | 0.237 | 0.068 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.181 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 51 | 0 | 0 | 0 | 0 | 0 | 10 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.20 | 0.00 |
time (sec) |
N/A | 0.256 | 0.044 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.190 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 51 | 0 | 0 | 0 | 0 | 0 | 10 | 0 |
N.S. |
1 | 1.00 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.19 | 0.00 |
time (sec) |
N/A | 0.251 | 0.043 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.197 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 51 | 0 | 0 | 0 | 0 | 0 | 10 | 0 |
N.S. |
1 | 1.00 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.19 | 0.00 |
time (sec) |
N/A | 0.263 | 0.043 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.192 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 51 | 0 | 0 | 0 | 0 | 0 | 10 | 0 |
N.S. |
1 | 1.00 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.19 | 0.00 |
time (sec) |
N/A | 0.258 | 0.042 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.188 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 68 | 0 | 0 | 0 | 0 | 0 | 10 | 0 |
N.S. |
1 | 1.00 | 1.28 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.19 | 0.00 |
time (sec) |
N/A | 0.271 | 0.089 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.195 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 57 | 0 | 0 | 0 | 0 | 0 | 14 | 0 |
N.S. |
1 | 1.00 | 1.06 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.26 | 0.00 |
time (sec) |
N/A | 0.254 | 0.052 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.185 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 59 | 0 | 0 | 0 | 0 | 0 | 14 | 0 |
N.S. |
1 | 1.00 | 1.09 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.26 | 0.00 |
time (sec) |
N/A | 0.276 | 0.066 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.192 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 56 | 56 | 59 | 0 | 0 | 0 | 0 | 0 | 14 | 0 |
N.S. |
1 | 1.00 | 1.05 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.25 | 0.00 |
time (sec) |
N/A | 0.266 | 0.058 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.196 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 56 | 56 | 59 | 0 | 0 | 0 | 0 | 0 | 14 | 0 |
N.S. |
1 | 1.00 | 1.05 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.25 | 0.00 |
time (sec) |
N/A | 0.277 | 0.060 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.196 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 56 | 56 | 59 | 0 | 0 | 0 | 0 | 0 | 14 | 0 |
N.S. |
1 | 1.00 | 1.05 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.25 | 0.00 |
time (sec) |
N/A | 0.285 | 0.062 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.206 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 56 | 56 | 76 | 0 | 0 | 0 | 0 | 0 | 14 | 0 |
N.S. |
1 | 1.00 | 1.36 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.25 | 0.00 |
time (sec) |
N/A | 0.297 | 0.125 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.212 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 59 | 0 | 0 | 0 | 0 | 0 | 10 | 0 |
N.S. |
1 | 1.00 | 0.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.14 | 0.00 |
time (sec) |
N/A | 0.266 | 0.086 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.188 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 65 | 0 | 0 | 0 | 0 | 0 | 14 | 0 |
N.S. |
1 | 1.00 | 0.90 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.19 | 0.00 |
time (sec) |
N/A | 0.284 | 0.087 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.202 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | C | B | B | F(-1) | B | B | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD | TBD |
size | 50 | 66 | 92 | 44 | 1669 | 93 | 0 | 129 | 38 | 0 |
N.S. |
1 | 1.32 | 1.84 | 0.88 | 33.38 | 1.86 | 0.00 | 2.58 | 0.76 | 0.00 |
time (sec) |
N/A | 0.206 | 0.200 | 0.317 | 0.198 | 0.074 | 0.000 | 0.164 | 0.198 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | C | B | B | F | B | B | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD | TBD |
size | 36 | 45 | 72 | 36 | 869 | 69 | 0 | 100 | 30 | 0 |
N.S. |
1 | 1.25 | 2.00 | 1.00 | 24.14 | 1.92 | 0.00 | 2.78 | 0.83 | 0.00 |
time (sec) |
N/A | 0.194 | 0.201 | 0.151 | 0.160 | 0.112 | 0.000 | 0.165 | 0.195 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | B | C | B | B | F | B | B | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 24 | 51 | 25 | 300 | 44 | 0 | 69 | 21 | 0 |
N.S. |
1 | 1.09 | 2.32 | 1.14 | 13.64 | 2.00 | 0.00 | 3.14 | 0.95 | 0.00 |
time (sec) |
N/A | 0.185 | 0.087 | 0.104 | 0.147 | 0.074 | 0.000 | 0.127 | 0.182 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | B | B | B | B | F | B | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 5 | 5 | 15 | 18 | 35 | 19 | 0 | 12 | 5 | 0 |
N.S. |
1 | 1.00 | 3.00 | 3.60 | 7.00 | 3.80 | 0.00 | 2.40 | 1.00 | 0.00 |
time (sec) |
N/A | 0.176 | 0.005 | 0.071 | 0.157 | 0.073 | 0.000 | 0.167 | 0.167 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | C | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 14 | 12 | 13 | 10 | 4 | 12 | 11 | 6 | 12 |
N.S. |
1 | 1.17 | 1.00 | 1.08 | 0.83 | 0.33 | 1.00 | 0.92 | 0.50 | 1.00 |
time (sec) |
N/A | 0.180 | 0.017 | 0.072 | 0.117 | 0.067 | 0.216 | 0.162 | 0.171 | 15.385 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | C | A | A | A | B | B | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD | TBD |
size | 29 | 33 | 23 | 19 | 11 | 11 | 29 | 44 | 14 | 0 |
N.S. |
1 | 1.14 | 0.79 | 0.66 | 0.38 | 0.38 | 1.00 | 1.52 | 0.48 | 0.00 |
time (sec) |
N/A | 0.186 | 0.028 | 0.086 | 0.140 | 0.071 | 0.367 | 0.126 | 0.163 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | C | A | A | A | A | B | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD | TBD |
size | 43 | 54 | 31 | 27 | 17 | 17 | 46 | 61 | 22 | 0 |
N.S. |
1 | 1.26 | 0.72 | 0.63 | 0.40 | 0.40 | 1.07 | 1.42 | 0.51 | 0.00 |
time (sec) |
N/A | 0.193 | 0.035 | 0.121 | 0.142 | 0.072 | 1.266 | 0.136 | 0.173 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | C | A | A | A | A | B | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD | TBD |
size | 57 | 75 | 37 | 33 | 23 | 21 | 61 | 78 | 30 | 0 |
N.S. |
1 | 1.32 | 0.65 | 0.58 | 0.40 | 0.37 | 1.07 | 1.37 | 0.53 | 0.00 |
time (sec) |
N/A | 0.206 | 0.046 | 0.129 | 0.147 | 0.070 | 9.539 | 0.153 | 0.167 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | B | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 84 | 100 | 61 | 52 | 2183 | 106 | 0 | 164 | 43 | 0 |
N.S. |
1 | 1.19 | 0.73 | 0.62 | 25.99 | 1.26 | 0.00 | 1.95 | 0.51 | 0.00 |
time (sec) |
N/A | 0.233 | 0.261 | 0.227 | 2.199 | 0.085 | 0.000 | 0.161 | 0.165 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | B | A | F | B | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 65 | 76 | 51 | 40 | 1113 | 80 | 0 | 106 | 35 | 0 |
N.S. |
1 | 1.17 | 0.78 | 0.62 | 17.12 | 1.23 | 0.00 | 1.63 | 0.54 | 0.00 |
time (sec) |
N/A | 0.218 | 0.176 | 0.145 | 0.300 | 0.080 | 0.000 | 0.153 | 0.175 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | B | A | F | B | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 46 | 52 | 39 | 28 | 318 | 49 | 0 | 72 | 24 | 0 |
N.S. |
1 | 1.13 | 0.85 | 0.61 | 6.91 | 1.07 | 0.00 | 1.57 | 0.52 | 0.00 |
time (sec) |
N/A | 0.205 | 0.072 | 0.104 | 0.178 | 0.078 | 0.000 | 0.120 | 0.177 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 26 | 28 | 17 | 20 | 24 | 64 | 0 | 13 | 8 | 0 |
N.S. |
1 | 1.08 | 0.65 | 0.77 | 0.92 | 2.46 | 0.00 | 0.50 | 0.31 | 0.00 |
time (sec) |
N/A | 0.195 | 0.006 | 0.065 | 0.152 | 0.084 | 0.000 | 0.172 | 0.162 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 16 | 14 | 18 | 13 | 22 | 14 | 34 | 12 | 15 |
N.S. |
1 | 1.14 | 1.00 | 1.29 | 0.93 | 1.57 | 1.00 | 2.43 | 0.86 | 1.07 |
time (sec) |
N/A | 0.189 | 0.018 | 0.057 | 0.112 | 0.068 | 0.288 | 0.161 | 0.162 | 14.904 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | F | A | A | A | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 36 | 46 | 27 | 33 | 0 | 29 | 32 | 52 | 21 | 0 |
N.S. |
1 | 1.28 | 0.75 | 0.92 | 0.00 | 0.81 | 0.89 | 1.44 | 0.58 | 0.00 |
time (sec) |
N/A | 0.198 | 0.031 | 0.074 | 0.000 | 0.073 | 0.428 | 0.166 | 0.170 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | F | A | A | A | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 55 | 75 | 36 | 37 | 0 | 37 | 51 | 66 | 29 | 0 |
N.S. |
1 | 1.36 | 0.65 | 0.67 | 0.00 | 0.67 | 0.93 | 1.20 | 0.53 | 0.00 |
time (sec) |
N/A | 0.213 | 0.040 | 0.095 | 0.000 | 0.072 | 1.473 | 0.159 | 0.168 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | F | A | A | A | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 74 | 104 | 42 | 43 | 0 | 43 | 68 | 76 | 37 | 0 |
N.S. |
1 | 1.41 | 0.57 | 0.58 | 0.00 | 0.58 | 0.92 | 1.03 | 0.50 | 0.00 |
time (sec) |
N/A | 0.232 | 0.055 | 0.103 | 0.000 | 0.076 | 12.337 | 0.128 | 0.169 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 123 | 121 | 58 | 185 | 0 | 161 | 0 | 0 | 16 | 0 |
N.S. |
1 | 0.98 | 0.47 | 1.50 | 0.00 | 1.31 | 0.00 | 0.00 | 0.13 | 0.00 |
time (sec) |
N/A | 0.655 | 0.149 | 0.925 | 0.000 | 0.084 | 0.000 | 0.000 | 0.160 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 71 | 86 | 46 | 103 | 0 | 99 | 0 | 0 | 14 | 0 |
N.S. |
1 | 1.21 | 0.65 | 1.45 | 0.00 | 1.39 | 0.00 | 0.00 | 0.20 | 0.00 |
time (sec) |
N/A | 0.455 | 0.099 | 0.372 | 0.000 | 0.087 | 0.000 | 0.000 | 0.163 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 48 | 61 | 46 | 155 | 0 | 64 | 0 | 0 | 11 | 0 |
N.S. |
1 | 1.27 | 0.96 | 3.23 | 0.00 | 1.33 | 0.00 | 0.00 | 0.23 | 0.00 |
time (sec) |
N/A | 0.373 | 0.042 | 0.145 | 0.000 | 0.075 | 0.000 | 0.000 | 0.172 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 50 | 65 | 38 | 93 | 0 | 68 | 0 | 0 | 16 | 0 |
N.S. |
1 | 1.30 | 0.76 | 1.86 | 0.00 | 1.36 | 0.00 | 0.00 | 0.32 | 0.00 |
time (sec) |
N/A | 0.368 | 0.050 | 0.166 | 0.000 | 0.081 | 0.000 | 0.000 | 0.165 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 79 | 88 | 52 | 178 | 0 | 84 | 0 | 0 | 16 | 0 |
N.S. |
1 | 1.11 | 0.66 | 2.25 | 0.00 | 1.06 | 0.00 | 0.00 | 0.20 | 0.00 |
time (sec) |
N/A | 0.444 | 0.082 | 0.463 | 0.000 | 0.087 | 0.000 | 0.000 | 0.166 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 123 | 125 | 63 | 117 | 0 | 88 | 0 | 0 | 16 | 0 |
N.S. |
1 | 1.02 | 0.51 | 0.95 | 0.00 | 0.72 | 0.00 | 0.00 | 0.13 | 0.00 |
time (sec) |
N/A | 0.631 | 0.122 | 1.016 | 0.000 | 0.098 | 0.000 | 0.000 | 0.161 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 164 | 66 | 59 | 61 | 66 | 118 | 0 | 69 | 51 | 603 |
N.S. |
1 | 0.40 | 0.36 | 0.37 | 0.40 | 0.72 | 0.00 | 0.42 | 0.31 | 3.68 |
time (sec) |
N/A | 0.275 | 0.070 | 0.588 | 0.117 | 0.083 | 0.000 | 0.178 | 0.173 | 19.962 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 118 | 54 | 47 | 49 | 48 | 88 | 0 | 35 | 39 | 121 |
N.S. |
1 | 0.46 | 0.40 | 0.42 | 0.41 | 0.75 | 0.00 | 0.30 | 0.33 | 1.03 |
time (sec) |
N/A | 0.264 | 0.050 | 0.266 | 0.111 | 0.087 | 0.000 | 0.147 | 0.171 | 17.665 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 62 | 36 | 33 | 35 | 30 | 52 | 0 | 23 | 25 | 44 |
N.S. |
1 | 0.58 | 0.53 | 0.56 | 0.48 | 0.84 | 0.00 | 0.37 | 0.40 | 0.71 |
time (sec) |
N/A | 0.253 | 0.031 | 0.106 | 0.115 | 0.072 | 0.000 | 0.142 | 0.169 | 15.969 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 18 | 9 | 24 | 0 | 9 | 10 | 7 |
N.S. |
1 | 1.00 | 1.00 | 1.12 | 0.56 | 1.50 | 0.00 | 0.56 | 0.62 | 0.44 |
time (sec) |
N/A | 0.228 | 0.020 | 0.067 | 0.114 | 0.066 | 0.000 | 0.130 | 0.170 | 15.119 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | F | F(-2) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 36 | 29 | 25 | 24 | 25 | 46 | 0 | 0 | 15 | 0 |
N.S. |
1 | 0.81 | 0.69 | 0.67 | 0.69 | 1.28 | 0.00 | 0.00 | 0.42 | 0.00 |
time (sec) |
N/A | 0.222 | 0.040 | 0.081 | 0.108 | 0.075 | 0.000 | 0.000 | 0.175 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | F | F(-2) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 86 | 62 | 38 | 42 | 58 | 61 | 0 | 0 | 33 | 0 |
N.S. |
1 | 0.72 | 0.44 | 0.49 | 0.67 | 0.71 | 0.00 | 0.00 | 0.38 | 0.00 |
time (sec) |
N/A | 0.336 | 0.055 | 0.172 | 0.115 | 0.084 | 0.000 | 0.000 | 0.182 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | F | F(-2) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 132 | 92 | 55 | 54 | 88 | 73 | 0 | 0 | 49 | 0 |
N.S. |
1 | 0.70 | 0.42 | 0.41 | 0.67 | 0.55 | 0.00 | 0.00 | 0.37 | 0.00 |
time (sec) |
N/A | 0.463 | 0.098 | 0.423 | 0.120 | 0.081 | 0.000 | 0.000 | 0.174 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 71 | 0 | 0 | 0 | 0 | 0 | 18 | 0 |
N.S. |
1 | 1.00 | 0.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.22 | 0.00 |
time (sec) |
N/A | 0.376 | 0.121 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.182 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 73 | 0 | 0 | 0 | 0 | 0 | 21 | 0 |
N.S. |
1 | 1.00 | 0.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.26 | 0.00 |
time (sec) |
N/A | 0.357 | 0.072 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.181 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 91 | 91 | 77 | 0 | 0 | 0 | 0 | 0 | 19 | 0 |
N.S. |
1 | 1.00 | 0.85 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.21 | 0.00 |
time (sec) |
N/A | 0.363 | 0.364 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.195 | 0.000 |