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 | A | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 13 | 12 | 12 | 129 | 0 | 12 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 0.75 | 0.75 | 8.06 | 0.00 | 0.75 |
time (sec) |
N/A | 0.137 | 0.490 | 0.823 | 0.186 | 0.262 | 0.550 | 0.000 | 5.072 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 13 | 12 | 16 | 61 | 20 | 12 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 0.75 | 1.00 | 3.81 | 1.25 | 0.75 |
time (sec) |
N/A | 0.138 | 0.123 | 0.796 | 0.179 | 0.247 | 0.560 | 0.290 | 5.080 |
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 | 16 | 16 | 16 | 13 | 12 | 16 | 12 | 18 | 12 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 0.75 | 1.00 | 0.75 | 1.12 | 0.75 |
time (sec) |
N/A | 0.138 | 0.120 | 0.785 | 0.189 | 0.237 | 0.340 | 0.276 | 4.864 |
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 | 16 | 16 | 16 | 13 | 12 | 12 | 22 | 0 | 12 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 0.75 | 0.75 | 1.38 | 0.00 | 0.75 |
time (sec) |
N/A | 0.138 | 0.567 | 0.780 | 0.185 | 0.236 | 0.350 | 0.000 | 4.949 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 13 | 29 | 12 | 42 | 0 | 12 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 1.81 | 0.75 | 2.62 | 0.00 | 0.75 |
time (sec) |
N/A | 0.143 | 0.161 | 0.806 | 0.305 | 0.238 | 1.316 | 0.000 | 0.043 |
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 | 16 | 16 | 16 | 13 | 12 | 16 | 27 | 18 | 12 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 0.75 | 1.00 | 1.69 | 1.12 | 0.75 |
time (sec) |
N/A | 0.136 | 0.117 | 0.754 | 0.202 | 0.235 | 0.469 | 0.279 | 5.580 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 13 | 29 | 12 | 71 | 0 | 27 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 1.81 | 0.75 | 4.44 | 0.00 | 1.69 |
time (sec) |
N/A | 0.142 | 0.270 | 0.803 | 0.320 | 0.259 | 1.467 | 0.000 | 5.407 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 13 | 38 | 12 | 71 | 0 | 12 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 2.38 | 0.75 | 4.44 | 0.00 | 0.75 |
time (sec) |
N/A | 0.141 | 0.140 | 0.818 | 0.331 | 0.256 | 1.501 | 0.000 | 5.110 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 13 | 38 | 12 | 48 | 0 | 12 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 2.38 | 0.75 | 3.00 | 0.00 | 0.75 |
time (sec) |
N/A | 0.142 | 0.157 | 0.833 | 0.320 | 0.240 | 1.359 | 0.000 | 4.721 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 13 | 38 | 12 | 76 | 0 | 27 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 2.38 | 0.75 | 4.75 | 0.00 | 1.69 |
time (sec) |
N/A | 0.141 | 0.267 | 0.829 | 0.327 | 0.259 | 1.503 | 0.000 | 4.764 |
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 | 16 | 16 | 16 | 13 | 0 | 12 | 0 | 0 | 12 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 0.00 | 0.75 | 0.00 | 0.00 | 0.75 |
time (sec) |
N/A | 0.149 | 10.021 | 0.863 | 0.000 | 0.250 | 0.000 | 0.000 | 5.552 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 47 | 23 | 20 | 0 | 22 | 0 | 0 | 19 |
N.S. |
1 | 2.94 | 1.44 | 1.25 | 0.00 | 1.38 | 0.00 | 0.00 | 1.19 |
time (sec) |
N/A | 0.262 | 5.910 | 0.878 | 0.000 | 0.249 | 0.000 | 0.000 | 5.445 |
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 | 16 | 0 | 16 | 15 | 0 | 36 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.94 | 0.00 | 2.25 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 10.800 | 1.457 | 0.000 | 0.255 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 13 | 27 | 12 | 56 | 25 | 12 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 1.69 | 0.75 | 3.50 | 1.56 | 0.75 |
time (sec) |
N/A | 0.156 | 0.146 | 0.936 | 0.314 | 0.245 | 0.944 | 0.301 | 5.101 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 13 | 12 | 12 | 66 | 25 | 12 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 0.75 | 0.75 | 4.12 | 1.56 | 0.75 |
time (sec) |
N/A | 0.141 | 2.029 | 1.691 | 0.304 | 0.239 | 1.468 | 0.309 | 0.171 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | B | B | F | B | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 0 | 44 | 45 | 0 | 70 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 2.59 | 2.65 | 0.00 | 4.12 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 7.868 | 3.655 | 0.000 | 0.272 | 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 | 17 | 17 | 17 | 16 | 0 | 15 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 0.00 | 0.88 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.194 | 0.146 | 3.151 | 0.000 | 0.279 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 18 | 0 | 34 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.06 | 0.00 | 2.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.218 | 0.196 | 2.180 | 0.000 | 0.255 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | B | F | B | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 0 | 17 | 32 | 0 | 72 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 1.88 | 0.00 | 4.24 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 7.348 | 1.482 | 0.000 | 0.264 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 29 | 18 | 15 | 19 | 14 | 75 | 19 | 14 |
N.S. |
1 | 1.61 | 1.00 | 0.83 | 1.06 | 0.78 | 4.17 | 1.06 | 0.78 |
time (sec) |
N/A | 0.158 | 0.015 | 0.796 | 0.192 | 0.241 | 0.512 | 0.269 | 5.040 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 20 | 18 | 15 | 12 | 19 | 0 | 0 | 14 |
N.S. |
1 | 1.11 | 1.00 | 0.83 | 0.67 | 1.06 | 0.00 | 0.00 | 0.78 |
time (sec) |
N/A | 0.142 | 0.058 | 0.910 | 0.230 | 0.241 | 0.000 | 0.000 | 4.950 |
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 | 18 | 29 | 18 | 15 | 19 | 14 | 26 | 19 | 14 |
N.S. |
1 | 1.61 | 1.00 | 0.83 | 1.06 | 0.78 | 1.44 | 1.06 | 0.78 |
time (sec) |
N/A | 0.156 | 0.017 | 0.756 | 0.195 | 0.233 | 0.468 | 0.270 | 4.982 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 15 | 22 | 14 | 0 | 11 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.83 | 1.22 | 0.78 | 0.00 | 0.61 | 0.78 |
time (sec) |
N/A | 0.144 | 0.550 | 0.773 | 0.199 | 0.252 | 0.000 | 0.285 | 4.950 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 20 | 22 | 19 | 0 | 11 | 31 |
N.S. |
1 | 1.00 | 1.00 | 1.11 | 1.22 | 1.06 | 0.00 | 0.61 | 1.72 |
time (sec) |
N/A | 0.145 | 0.452 | 0.795 | 0.189 | 0.238 | 0.000 | 0.292 | 4.966 |
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 | 18 | 12 | 12 | 11 | 0 | 16 | 0 | 0 | 10 |
N.S. |
1 | 0.67 | 0.67 | 0.61 | 0.00 | 0.89 | 0.00 | 0.00 | 0.56 |
time (sec) |
N/A | 0.209 | 0.181 | 0.980 | 0.000 | 0.234 | 0.000 | 0.000 | 0.058 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 11 | 0 | 14 | 0 | 9 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.61 | 0.00 | 0.78 | 0.00 | 0.50 | 0.78 |
time (sec) |
N/A | 0.145 | 0.018 | 0.756 | 0.000 | 0.239 | 0.000 | 0.289 | 4.959 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 15 | 0 | 14 | 0 | 11 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.83 | 0.00 | 0.78 | 0.00 | 0.61 | 0.78 |
time (sec) |
N/A | 0.148 | 0.058 | 0.812 | 0.000 | 0.245 | 0.000 | 0.279 | 4.943 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 15 | 107 | 14 | 78 | 34 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.83 | 5.94 | 0.78 | 4.33 | 1.89 | 0.78 |
time (sec) |
N/A | 0.153 | 0.047 | 3.431 | 0.273 | 0.240 | 10.798 | 0.279 | 5.023 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 269 | 18 | 15 | 28 | 19 | 0 | 27 | 14 |
N.S. |
1 | 14.94 | 1.00 | 0.83 | 1.56 | 1.06 | 0.00 | 1.50 | 0.78 |
time (sec) |
N/A | 0.841 | 2.861 | 1.051 | 0.324 | 0.248 | 0.000 | 0.289 | 4.956 |
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 | 18 | 96 | 18 | 20 | 0 | 19 | 0 | 25 | 1 |
N.S. |
1 | 5.33 | 1.00 | 1.11 | 0.00 | 1.06 | 0.00 | 1.39 | 0.06 |
time (sec) |
N/A | 0.284 | 0.145 | 0.822 | 0.000 | 0.249 | 0.000 | 0.303 | 0.012 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 15 | 25 | 14 | 0 | 11 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.83 | 1.39 | 0.78 | 0.00 | 0.61 | 0.78 |
time (sec) |
N/A | 0.146 | 0.133 | 2.937 | 0.292 | 0.245 | 0.000 | 0.276 | 4.960 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 15 | 25 | 14 | 0 | 11 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.83 | 1.39 | 0.78 | 0.00 | 0.61 | 0.78 |
time (sec) |
N/A | 0.150 | 9.095 | 0.769 | 0.279 | 0.233 | 0.000 | 0.294 | 4.982 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 37 | 18 | 20 | 58 | 19 | 0 | 11 | 31 |
N.S. |
1 | 2.06 | 1.00 | 1.11 | 3.22 | 1.06 | 0.00 | 0.61 | 1.72 |
time (sec) |
N/A | 0.227 | 9.544 | 0.862 | 0.289 | 0.246 | 0.000 | 0.294 | 5.204 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 20 | 25 | 19 | 0 | 11 | 31 |
N.S. |
1 | 1.00 | 1.00 | 1.11 | 1.39 | 1.06 | 0.00 | 0.61 | 1.72 |
time (sec) |
N/A | 0.146 | 9.218 | 0.797 | 0.276 | 0.250 | 0.000 | 0.282 | 5.058 |
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 | 18 | 23 | 18 | 15 | 0 | 19 | 0 | 0 | 21 |
N.S. |
1 | 1.28 | 1.00 | 0.83 | 0.00 | 1.06 | 0.00 | 0.00 | 1.17 |
time (sec) |
N/A | 0.214 | 6.349 | 1.000 | 0.000 | 0.243 | 0.000 | 0.000 | 5.008 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 20 | 25 | 19 | 0 | 11 | 19 |
N.S. |
1 | 1.00 | 1.00 | 1.11 | 1.39 | 1.06 | 0.00 | 0.61 | 1.06 |
time (sec) |
N/A | 0.142 | 0.118 | 2.602 | 0.281 | 0.249 | 0.000 | 0.283 | 5.114 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 43 | 7 | 0 | 20 | 0 | 26 | 0 |
N.S. |
1 | 1.00 | 2.39 | 0.39 | 0.00 | 1.11 | 0.00 | 1.44 | 0.00 |
time (sec) |
N/A | 0.146 | 0.176 | 0.820 | 0.000 | 0.262 | 0.000 | 0.281 | 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 | 18 | 12 | 12 | 11 | 0 | 16 | 0 | 0 | 16 |
N.S. |
1 | 0.67 | 0.67 | 0.61 | 0.00 | 0.89 | 0.00 | 0.00 | 0.89 |
time (sec) |
N/A | 0.209 | 5.856 | 0.956 | 0.000 | 0.240 | 0.000 | 0.000 | 4.980 |
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 | 18 | 18 | 20 | 15 | 0 | 14 | 0 | 0 | 14 |
N.S. |
1 | 1.00 | 1.11 | 0.83 | 0.00 | 0.78 | 0.00 | 0.00 | 0.78 |
time (sec) |
N/A | 0.164 | 0.169 | 0.806 | 0.000 | 0.235 | 0.000 | 0.000 | 5.224 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 13 | 17 | 14 | 0 | 9 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.72 | 0.94 | 0.78 | 0.00 | 0.50 | 0.78 |
time (sec) |
N/A | 0.139 | 0.133 | 0.809 | 0.272 | 0.236 | 0.000 | 0.278 | 5.221 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 23 | 13 | 17 | 19 | 0 | 9 | 29 |
N.S. |
1 | 1.00 | 1.28 | 0.72 | 0.94 | 1.06 | 0.00 | 0.50 | 1.61 |
time (sec) |
N/A | 0.140 | 0.114 | 0.789 | 0.270 | 0.247 | 0.000 | 0.272 | 5.238 |
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 | 18 | 18 | 23 | 20 | 0 | 19 | 0 | 0 | 19 |
N.S. |
1 | 1.00 | 1.28 | 1.11 | 0.00 | 1.06 | 0.00 | 0.00 | 1.06 |
time (sec) |
N/A | 0.169 | 0.148 | 0.811 | 0.000 | 0.246 | 0.000 | 0.000 | 5.281 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 11 | 0 | 14 | 0 | 9 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.61 | 0.00 | 0.78 | 0.00 | 0.50 | 0.78 |
time (sec) |
N/A | 0.145 | 0.019 | 0.776 | 0.000 | 0.239 | 0.000 | 0.282 | 5.169 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 37 | 18 | 20 | 0 | 22 | 0 | 9 | 43 |
N.S. |
1 | 2.06 | 1.00 | 1.11 | 0.00 | 1.22 | 0.00 | 0.50 | 2.39 |
time (sec) |
N/A | 0.221 | 0.027 | 0.788 | 0.000 | 0.227 | 0.000 | 0.286 | 5.090 |
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 | 18 | 0 | 18 | 19 | 0 | 35 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 1.06 | 0.00 | 1.94 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.122 | 2.245 | 0.000 | 0.274 | 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 | 18 | 18 | 18 | 15 | 0 | 14 | 0 | 0 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.83 | 0.00 | 0.78 | 0.00 | 0.00 | 0.78 |
time (sec) |
N/A | 0.154 | 10.015 | 0.824 | 0.000 | 0.250 | 0.000 | 0.000 | 5.067 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 37 | 18 | 20 | 0 | 19 | 0 | 0 | 31 |
N.S. |
1 | 2.06 | 1.00 | 1.11 | 0.00 | 1.06 | 0.00 | 0.00 | 1.72 |
time (sec) |
N/A | 0.321 | 10.013 | 0.967 | 0.000 | 0.246 | 0.000 | 0.000 | 5.299 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 12 | 60 | 11 | 0 | 16 | 0 | 0 | 16 |
N.S. |
1 | 0.67 | 3.33 | 0.61 | 0.00 | 0.89 | 0.00 | 0.00 | 0.89 |
time (sec) |
N/A | 0.222 | 10.041 | 1.015 | 0.000 | 0.242 | 0.000 | 0.000 | 4.957 |
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 | 18 | 18 | 23 | 20 | 0 | 19 | 0 | 0 | 19 |
N.S. |
1 | 1.00 | 1.28 | 1.11 | 0.00 | 1.06 | 0.00 | 0.00 | 1.06 |
time (sec) |
N/A | 0.153 | 0.331 | 0.850 | 0.000 | 0.253 | 0.000 | 0.000 | 4.955 |
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 | 18 | 18 | 20 | 15 | 0 | 14 | 0 | 0 | 14 |
N.S. |
1 | 1.00 | 1.11 | 0.83 | 0.00 | 0.78 | 0.00 | 0.00 | 0.78 |
time (sec) |
N/A | 0.150 | 0.398 | 0.825 | 0.000 | 0.255 | 0.000 | 0.000 | 5.009 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 53 | 25 | 22 | 0 | 24 | 0 | 0 | 41 |
N.S. |
1 | 2.94 | 1.39 | 1.22 | 0.00 | 1.33 | 0.00 | 0.00 | 2.28 |
time (sec) |
N/A | 0.258 | 0.360 | 0.844 | 0.000 | 0.243 | 0.000 | 0.000 | 5.038 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | C | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 15 | 33 | 16 | 19 | 30 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.83 | 1.83 | 0.89 | 1.06 | 1.67 | 0.00 |
time (sec) |
N/A | 0.142 | 0.172 | 0.812 | 0.185 | 0.242 | 0.477 | 0.279 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 8 | 18 | 7 | 33 | 16 | 5 | 29 | 0 |
N.S. |
1 | 0.44 | 1.00 | 0.39 | 1.83 | 0.89 | 0.28 | 1.61 | 0.00 |
time (sec) |
N/A | 0.133 | 0.174 | 0.804 | 0.178 | 0.236 | 0.452 | 0.271 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 37 | 18 | 20 | 0 | 19 | 0 | 0 | 31 |
N.S. |
1 | 2.06 | 1.00 | 1.11 | 0.00 | 1.06 | 0.00 | 0.00 | 1.72 |
time (sec) |
N/A | 0.325 | 10.021 | 0.905 | 0.000 | 0.267 | 0.000 | 0.000 | 5.169 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 13 | 21 | 14 | 0 | 9 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.72 | 1.17 | 0.78 | 0.00 | 0.50 | 0.78 |
time (sec) |
N/A | 0.147 | 10.012 | 0.809 | 0.255 | 0.245 | 0.000 | 0.289 | 5.082 |
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 | 18 | 18 | 18 | 15 | 0 | 14 | 0 | 0 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.83 | 0.00 | 0.78 | 0.00 | 0.00 | 0.78 |
time (sec) |
N/A | 0.149 | 0.404 | 0.855 | 0.000 | 0.250 | 0.000 | 0.000 | 5.080 |
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 | 18 | 18 | 23 | 20 | 0 | 19 | 0 | 0 | 19 |
N.S. |
1 | 1.00 | 1.28 | 1.11 | 0.00 | 1.06 | 0.00 | 0.00 | 1.06 |
time (sec) |
N/A | 0.152 | 0.299 | 0.857 | 0.000 | 0.251 | 0.000 | 0.000 | 5.023 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | A | B | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 18 | 0 | 18 | 0 | 0 | 25 | 31 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.00 | 0.00 | 1.39 | 1.72 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.048 | 0.000 | 0.000 | 0.253 | 0.449 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 719 | 19 | 13 | 15 | 17 | 0 | 0 | 276 |
N.S. |
1 | 37.84 | 1.00 | 0.68 | 0.79 | 0.89 | 0.00 | 0.00 | 14.53 |
time (sec) |
N/A | 2.376 | 0.643 | 3.667 | 0.288 | 0.247 | 0.000 | 0.000 | 4.982 |
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 | 19 | 19 | 19 | 18 | 0 | 17 | 0 | 0 | 17 |
N.S. |
1 | 1.00 | 1.00 | 0.95 | 0.00 | 0.89 | 0.00 | 0.00 | 0.89 |
time (sec) |
N/A | 0.164 | 0.287 | 0.854 | 0.000 | 0.244 | 0.000 | 0.000 | 4.998 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | B | C | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 0 | 41 | 46 | 0 | 17 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 2.16 | 2.42 | 0.00 | 0.89 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 21.947 | 3.658 | 0.000 | 0.279 | 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 | 19 | 19 | 19 | 18 | 0 | 30 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.95 | 0.00 | 1.58 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.232 | 0.208 | 7.446 | 0.000 | 0.270 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 38 | 19 | 16 | 15 | 40 | 0 | 0 | 30 |
N.S. |
1 | 2.00 | 1.00 | 0.84 | 0.79 | 2.11 | 0.00 | 0.00 | 1.58 |
time (sec) |
N/A | 0.191 | 0.024 | 0.079 | 0.186 | 0.237 | 0.000 | 0.000 | 4.994 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 19 | 16 | 15 | 15 | 0 | 0 | 15 |
N.S. |
1 | 1.00 | 1.00 | 0.84 | 0.79 | 0.79 | 0.00 | 0.00 | 0.79 |
time (sec) |
N/A | 0.169 | 0.418 | 0.144 | 0.217 | 0.236 | 0.000 | 0.000 | 0.066 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 19 | 16 | 15 | 15 | 0 | 0 | 15 |
N.S. |
1 | 1.00 | 1.00 | 0.84 | 0.79 | 0.79 | 0.00 | 0.00 | 0.79 |
time (sec) |
N/A | 0.163 | 0.325 | 0.166 | 0.213 | 0.239 | 0.000 | 0.000 | 5.046 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 19 | 16 | 43 | 15 | 0 | 0 | 15 |
N.S. |
1 | 1.00 | 1.00 | 0.84 | 2.26 | 0.79 | 0.00 | 0.00 | 0.79 |
time (sec) |
N/A | 0.165 | 0.341 | 0.175 | 0.232 | 0.245 | 0.000 | 0.000 | 4.988 |
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 | 20 | 14 | 14 | 13 | 0 | 18 | 0 | 0 | 12 |
N.S. |
1 | 0.70 | 0.70 | 0.65 | 0.00 | 0.90 | 0.00 | 0.00 | 0.60 |
time (sec) |
N/A | 0.209 | 0.208 | 0.979 | 0.000 | 0.241 | 0.000 | 0.000 | 0.071 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 14 | 14 | 11 | 0 | 16 | 0 | 9 | 18 |
N.S. |
1 | 0.70 | 0.70 | 0.55 | 0.00 | 0.80 | 0.00 | 0.45 | 0.90 |
time (sec) |
N/A | 0.174 | 0.609 | 0.916 | 0.000 | 0.238 | 0.000 | 0.285 | 5.062 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 18 | 15 | 0 | 16 | 0 | 11 | 16 |
N.S. |
1 | 1.00 | 0.90 | 0.75 | 0.00 | 0.80 | 0.00 | 0.55 | 0.80 |
time (sec) |
N/A | 0.148 | 0.019 | 0.779 | 0.000 | 0.254 | 0.000 | 0.275 | 5.182 |
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 | 20 | 20 | 20 | 17 | 16 | 16 | 26 | 16 | 16 |
N.S. |
1 | 1.00 | 1.00 | 0.85 | 0.80 | 0.80 | 1.30 | 0.80 | 0.80 |
time (sec) |
N/A | 0.143 | 0.015 | 3.608 | 0.183 | 0.238 | 0.079 | 0.264 | 5.208 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 20 | 17 | 16 | 16 | 44 | 16 | 16 |
N.S. |
1 | 1.00 | 1.00 | 0.85 | 0.80 | 0.80 | 2.20 | 0.80 | 0.80 |
time (sec) |
N/A | 0.142 | 0.013 | 0.788 | 0.204 | 0.248 | 0.084 | 0.262 | 5.079 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 20 | 17 | 79 | 16 | 309 | 39 | 16 |
N.S. |
1 | 1.00 | 1.00 | 0.85 | 3.95 | 0.80 | 15.45 | 1.95 | 0.80 |
time (sec) |
N/A | 0.155 | 0.038 | 0.795 | 0.289 | 0.242 | 10.435 | 0.270 | 5.191 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 20 | 17 | 22 | 16 | 0 | 11 | 16 |
N.S. |
1 | 1.00 | 1.00 | 0.85 | 1.10 | 0.80 | 0.00 | 0.55 | 0.80 |
time (sec) |
N/A | 0.141 | 0.146 | 0.816 | 0.199 | 0.247 | 0.000 | 0.283 | 5.217 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 20 | 22 | 22 | 21 | 0 | 11 | 33 |
N.S. |
1 | 1.00 | 1.00 | 1.10 | 1.10 | 1.05 | 0.00 | 0.55 | 1.65 |
time (sec) |
N/A | 0.145 | 0.123 | 0.782 | 0.193 | 0.246 | 0.000 | 0.280 | 5.220 |
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 | 20 | 20 | 20 | 22 | 0 | 21 | 0 | 0 | 21 |
N.S. |
1 | 1.00 | 1.00 | 1.10 | 0.00 | 1.05 | 0.00 | 0.00 | 1.05 |
time (sec) |
N/A | 0.166 | 0.158 | 0.842 | 0.000 | 0.246 | 0.000 | 0.000 | 4.993 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 18 | 15 | 0 | 16 | 0 | 11 | 16 |
N.S. |
1 | 1.00 | 0.90 | 0.75 | 0.00 | 0.80 | 0.00 | 0.55 | 0.80 |
time (sec) |
N/A | 0.145 | 0.018 | 0.801 | 0.000 | 0.226 | 0.000 | 0.280 | 5.079 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 41 | 18 | 20 | 0 | 24 | 0 | 18 | 49 |
N.S. |
1 | 2.05 | 0.90 | 1.00 | 0.00 | 1.20 | 0.00 | 0.90 | 2.45 |
time (sec) |
N/A | 0.226 | 0.030 | 0.826 | 0.000 | 0.248 | 0.000 | 0.272 | 5.040 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 18 | 18 | 0 | 19 | 0 | 11 | 33 |
N.S. |
1 | 1.00 | 0.90 | 0.90 | 0.00 | 0.95 | 0.00 | 0.55 | 1.65 |
time (sec) |
N/A | 0.144 | 0.019 | 0.800 | 0.000 | 0.238 | 0.000 | 0.274 | 5.018 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 20 | 17 | 16 | 16 | 56 | 16 | 16 |
N.S. |
1 | 1.00 | 1.00 | 0.85 | 0.80 | 0.80 | 2.80 | 0.80 | 0.80 |
time (sec) |
N/A | 0.157 | 0.013 | 0.112 | 0.273 | 0.243 | 0.087 | 0.261 | 5.082 |
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 | 20 | 20 | 20 | 22 | 0 | 21 | 0 | 0 | 21 |
N.S. |
1 | 1.00 | 1.00 | 1.10 | 0.00 | 1.05 | 0.00 | 0.00 | 1.05 |
time (sec) |
N/A | 0.147 | 0.345 | 0.835 | 0.000 | 0.248 | 0.000 | 0.000 | 5.308 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 41 | 20 | 22 | 0 | 21 | 0 | 0 | 35 |
N.S. |
1 | 2.05 | 1.00 | 1.10 | 0.00 | 1.05 | 0.00 | 0.00 | 1.75 |
time (sec) |
N/A | 0.252 | 0.306 | 0.865 | 0.000 | 0.236 | 0.000 | 0.000 | 5.437 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 59 | 24 | 24 | 0 | 26 | 0 | 0 | 47 |
N.S. |
1 | 2.95 | 1.20 | 1.20 | 0.00 | 1.30 | 0.00 | 0.00 | 2.35 |
time (sec) |
N/A | 0.265 | 0.334 | 0.841 | 0.000 | 0.254 | 0.000 | 0.000 | 5.206 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | F | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 0 | 17 | 19 | 23 | 15 | 0 | 0 | 18 |
N.S. |
1 | 0.00 | 0.85 | 0.95 | 1.15 | 0.75 | 0.00 | 0.00 | 0.90 |
time (sec) |
N/A | 0.000 | 8.362 | 1.371 | 0.315 | 0.247 | 0.000 | 0.000 | 0.091 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 20 | 17 | 30 | 16 | 0 | 11 | 16 |
N.S. |
1 | 1.00 | 1.00 | 0.85 | 1.50 | 0.80 | 0.00 | 0.55 | 0.80 |
time (sec) |
N/A | 0.152 | 10.013 | 0.826 | 0.192 | 0.241 | 0.000 | 0.288 | 5.224 |
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 | 20 | 20 | 20 | 17 | 0 | 16 | 0 | 0 | 16 |
N.S. |
1 | 1.00 | 1.00 | 0.85 | 0.00 | 0.80 | 0.00 | 0.00 | 0.80 |
time (sec) |
N/A | 0.156 | 0.401 | 0.856 | 0.000 | 0.239 | 0.000 | 0.000 | 5.120 |
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 | 20 | 20 | 20 | 22 | 0 | 21 | 0 | 0 | 21 |
N.S. |
1 | 1.00 | 1.00 | 1.10 | 0.00 | 1.05 | 0.00 | 0.00 | 1.05 |
time (sec) |
N/A | 0.155 | 0.284 | 0.856 | 0.000 | 0.252 | 0.000 | 0.000 | 5.198 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 41 | 20 | 22 | 0 | 21 | 0 | 0 | 33 |
N.S. |
1 | 2.05 | 1.00 | 1.10 | 0.00 | 1.05 | 0.00 | 0.00 | 1.65 |
time (sec) |
N/A | 0.280 | 0.304 | 0.865 | 0.000 | 0.236 | 0.000 | 0.000 | 5.193 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 14 | 14 | 13 | 29 | 18 | 0 | 0 | 12 |
N.S. |
1 | 0.70 | 0.70 | 0.65 | 1.45 | 0.90 | 0.00 | 0.00 | 0.60 |
time (sec) |
N/A | 0.148 | 0.943 | 1.027 | 0.324 | 0.232 | 0.000 | 0.000 | 5.097 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 37 | 7 | 0 | 18 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.85 | 0.35 | 0.00 | 0.90 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.148 | 0.007 | 1.576 | 0.000 | 0.251 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | B | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 0 | 20 | 0 | 0 | 55 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.00 | 0.00 | 2.75 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.052 | 0.000 | 0.000 | 0.957 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 25 | 21 | 74 | 0 | 40 | 0 | 0 | 206 |
N.S. |
1 | 1.19 | 1.00 | 3.52 | 0.00 | 1.90 | 0.00 | 0.00 | 9.81 |
time (sec) |
N/A | 0.205 | 0.933 | 2.829 | 0.000 | 0.257 | 0.000 | 0.000 | 5.539 |
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 | 21 | 18 | 21 | 28 | 0 | 25 | 0 | 0 | 275 |
N.S. |
1 | 0.86 | 1.00 | 1.33 | 0.00 | 1.19 | 0.00 | 0.00 | 13.10 |
time (sec) |
N/A | 0.211 | 1.205 | 1.997 | 0.000 | 0.251 | 0.000 | 0.000 | 0.105 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | C | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 402 | 21 | 47 | 0 | 15 | 0 | 0 | 252 |
N.S. |
1 | 19.14 | 1.00 | 2.24 | 0.00 | 0.71 | 0.00 | 0.00 | 12.00 |
time (sec) |
N/A | 0.845 | 1.099 | 2.566 | 0.000 | 0.256 | 0.000 | 0.000 | 5.343 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 0 | 19 | 18 | 0 | 20 | 0 | 0 | 19 |
N.S. |
1 | 0.00 | 0.90 | 0.86 | 0.00 | 0.95 | 0.00 | 0.00 | 0.90 |
time (sec) |
N/A | 0.000 | 8.420 | 2.661 | 0.000 | 0.235 | 0.000 | 0.000 | 5.396 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 0 | 41 | 46 | 0 | 19 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.95 | 2.19 | 0.00 | 0.90 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 22.440 | 3.581 | 0.000 | 0.279 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | B | A | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 0 | 51 | 28 | 0 | 25 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 2.43 | 1.33 | 0.00 | 1.19 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 7.510 | 2.161 | 0.000 | 0.258 | 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 | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 0 | 15 | 14 | 0 | 19 | 0 | 0 | 19 |
N.S. |
1 | 0.00 | 0.71 | 0.67 | 0.00 | 0.90 | 0.00 | 0.00 | 0.90 |
time (sec) |
N/A | 0.000 | 6.890 | 4.749 | 0.000 | 0.250 | 0.000 | 0.000 | 5.344 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 14 | 14 | 11 | 0 | 20 | 0 | 9 | 19 |
N.S. |
1 | 0.67 | 0.67 | 0.52 | 0.00 | 0.95 | 0.00 | 0.43 | 0.90 |
time (sec) |
N/A | 0.175 | 0.024 | 0.951 | 0.000 | 0.235 | 0.000 | 0.282 | 5.383 |
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 | 21 | 21 | 21 | 20 | 0 | 34 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.95 | 0.00 | 1.62 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.257 | 0.294 | 2.824 | 0.000 | 0.276 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 21 | 22 | 0 | 47 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.05 | 0.00 | 2.24 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.260 | 0.546 | 3.687 | 0.000 | 0.257 | 0.000 | 0.000 | 0.000 |