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 | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 29 | 31 | 30 | 37 | 0 | 58 | 46 |
N.S. |
1 | 1.00 | 0.71 | 0.76 | 0.73 | 0.90 | 0.00 | 1.41 | 1.12 |
time (sec) |
N/A | 0.017 | 0.003 | 0.042 | 0.198 | 0.257 | 0.000 | 0.301 | 13.392 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 54 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.025 | 0.033 | 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 | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 55 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.027 | 0.034 | 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 | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 51 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.85 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.013 | 0.037 | 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 | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 51 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.85 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.013 | 0.032 | 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 | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 55 | 55 | 46 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.84 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.008 | 0.028 | 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 | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 49 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.84 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.012 | 0.040 | 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 | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 51 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.85 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.013 | 0.041 | 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 | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 56 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.84 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.014 | 0.118 | 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 | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 56 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.84 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.014 | 0.090 | 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 | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 54 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.014 | 0.101 | 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 | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 54 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.015 | 0.138 | 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 | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 56 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.84 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.015 | 0.146 | 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 | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 25 | 20 | 19 | 19 | 19 | 19 | 19 |
N.S. |
1 | 1.00 | 1.00 | 0.80 | 0.76 | 0.76 | 0.76 | 0.76 | 0.76 |
time (sec) |
N/A | 0.006 | 0.003 | 0.019 | 0.194 | 0.241 | 0.019 | 0.284 | 0.031 |
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 | 25 | 25 | 25 | 20 | 19 | 19 | 19 | 19 | 19 |
N.S. |
1 | 1.00 | 1.00 | 0.80 | 0.76 | 0.76 | 0.76 | 0.76 | 0.76 |
time (sec) |
N/A | 0.005 | 0.002 | 0.017 | 0.218 | 0.245 | 0.019 | 0.294 | 0.030 |
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 | 15 | 16 | 16 |
N.S. |
1 | 1.00 | 1.00 | 0.85 | 0.80 | 0.80 | 0.75 | 0.80 | 0.80 |
time (sec) |
N/A | 0.002 | 0.000 | 0.014 | 0.197 | 0.239 | 0.018 | 0.284 | 0.026 |
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 | 21 | 21 | 21 | 18 | 20 | 17 | 17 | 20 | 17 |
N.S. |
1 | 1.00 | 1.00 | 0.86 | 0.95 | 0.81 | 0.81 | 0.95 | 0.81 |
time (sec) |
N/A | 0.004 | 0.003 | 0.040 | 0.196 | 0.239 | 0.034 | 0.279 | 0.026 |
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 | 18 | 18 | 17 | 16 | 20 | 12 | 16 | 16 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 0.89 | 1.11 | 0.67 | 0.89 | 0.89 |
time (sec) |
N/A | 0.004 | 0.002 | 0.022 | 0.199 | 0.237 | 0.033 | 0.288 | 0.030 |
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 | 21 | 21 | 21 | 18 | 20 | 22 | 17 | 26 | 17 |
N.S. |
1 | 1.00 | 1.00 | 0.86 | 0.95 | 1.05 | 0.81 | 1.24 | 0.81 |
time (sec) |
N/A | 0.005 | 0.002 | 0.026 | 0.195 | 0.250 | 0.048 | 0.283 | 0.029 |
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 | 18 | 18 | 17 | 17 | 21 | 17 | 17 | 18 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 0.94 | 1.17 | 0.94 | 0.94 | 1.00 |
time (sec) |
N/A | 0.005 | 0.003 | 0.024 | 0.208 | 0.234 | 0.055 | 0.290 | 0.025 |
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 | 21 | 21 | 21 | 18 | 21 | 23 | 19 | 27 | 20 |
N.S. |
1 | 1.00 | 1.00 | 0.86 | 1.00 | 1.10 | 0.90 | 1.29 | 0.95 |
time (sec) |
N/A | 0.005 | 0.003 | 0.026 | 0.195 | 0.234 | 0.112 | 0.284 | 12.885 |
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 | 23 | 23 | 23 | 20 | 21 | 21 | 22 | 21 | 20 |
N.S. |
1 | 1.00 | 1.00 | 0.87 | 0.91 | 0.91 | 0.96 | 0.91 | 0.87 |
time (sec) |
N/A | 0.005 | 0.002 | 0.025 | 0.198 | 0.227 | 0.122 | 0.298 | 0.033 |
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 | 25 | 25 | 25 | 20 | 21 | 21 | 22 | 21 | 21 |
N.S. |
1 | 1.00 | 1.00 | 0.80 | 0.84 | 0.84 | 0.88 | 0.84 | 0.84 |
time (sec) |
N/A | 0.005 | 0.003 | 0.025 | 0.196 | 0.231 | 0.164 | 0.297 | 0.033 |
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 | 25 | 25 | 25 | 20 | 21 | 21 | 22 | 21 | 21 |
N.S. |
1 | 1.00 | 1.00 | 0.80 | 0.84 | 0.84 | 0.88 | 0.84 | 0.84 |
time (sec) |
N/A | 0.005 | 0.004 | 0.025 | 0.192 | 0.226 | 0.160 | 0.285 | 0.033 |
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 | 54 | 54 | 54 | 45 | 44 | 44 | 51 | 46 | 45 |
N.S. |
1 | 1.00 | 1.00 | 0.83 | 0.81 | 0.81 | 0.94 | 0.85 | 0.83 |
time (sec) |
N/A | 0.020 | 0.006 | 0.068 | 0.199 | 0.231 | 0.024 | 0.300 | 0.028 |
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 | 54 | 54 | 48 | 45 | 44 | 44 | 46 | 46 | 45 |
N.S. |
1 | 1.00 | 0.89 | 0.83 | 0.81 | 0.81 | 0.85 | 0.85 | 0.83 |
time (sec) |
N/A | 0.026 | 0.006 | 0.065 | 0.217 | 0.250 | 0.023 | 0.316 | 0.022 |
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 | 49 | 49 | 49 | 42 | 45 | 41 | 48 | 43 | 42 |
N.S. |
1 | 1.00 | 1.00 | 0.86 | 0.92 | 0.84 | 0.98 | 0.88 | 0.86 |
time (sec) |
N/A | 0.013 | 0.004 | 0.023 | 0.197 | 0.230 | 0.020 | 0.300 | 0.021 |
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 | 47 | 47 | 47 | 43 | 44 | 41 | 42 | 46 | 42 |
N.S. |
1 | 1.00 | 1.00 | 0.91 | 0.94 | 0.87 | 0.89 | 0.98 | 0.89 |
time (sec) |
N/A | 0.027 | 0.010 | 0.066 | 0.208 | 0.230 | 0.052 | 0.294 | 0.026 |
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 | 48 | 48 | 48 | 45 | 42 | 46 | 44 | 44 | 43 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 0.88 | 0.96 | 0.92 | 0.92 | 0.90 |
time (sec) |
N/A | 0.015 | 0.012 | 0.052 | 0.198 | 0.238 | 0.048 | 0.287 | 0.024 |
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 | 51 | 51 | 46 | 45 | 44 | 47 | 44 | 53 | 43 |
N.S. |
1 | 1.00 | 0.90 | 0.88 | 0.86 | 0.92 | 0.86 | 1.04 | 0.84 |
time (sec) |
N/A | 0.026 | 0.011 | 0.030 | 0.196 | 0.234 | 0.069 | 0.293 | 0.027 |
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 | 47 | 47 | 47 | 42 | 42 | 46 | 46 | 42 | 44 |
N.S. |
1 | 1.00 | 1.00 | 0.89 | 0.89 | 0.98 | 0.98 | 0.89 | 0.94 |
time (sec) |
N/A | 0.015 | 0.016 | 0.033 | 0.199 | 0.257 | 0.073 | 0.300 | 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 | 45 | 45 | 41 | 42 | 45 | 47 | 44 | 60 | 43 |
N.S. |
1 | 1.00 | 0.91 | 0.93 | 1.00 | 1.04 | 0.98 | 1.33 | 0.96 |
time (sec) |
N/A | 0.026 | 0.013 | 0.035 | 0.201 | 0.236 | 0.192 | 0.293 | 0.039 |
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 | 48 | 48 | 49 | 43 | 45 | 46 | 48 | 47 | 44 |
N.S. |
1 | 1.00 | 1.02 | 0.90 | 0.94 | 0.96 | 1.00 | 0.98 | 0.92 |
time (sec) |
N/A | 0.017 | 0.017 | 0.033 | 0.196 | 0.225 | 0.200 | 0.293 | 0.041 |
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 | 51 | 51 | 50 | 44 | 45 | 48 | 48 | 54 | 46 |
N.S. |
1 | 1.00 | 0.98 | 0.86 | 0.88 | 0.94 | 0.94 | 1.06 | 0.90 |
time (sec) |
N/A | 0.025 | 0.014 | 0.033 | 0.213 | 0.247 | 0.357 | 0.296 | 12.874 |
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 | 47 | 47 | 49 | 42 | 44 | 46 | 46 | 46 | 45 |
N.S. |
1 | 1.00 | 1.04 | 0.89 | 0.94 | 0.98 | 0.98 | 0.98 | 0.96 |
time (sec) |
N/A | 0.017 | 0.017 | 0.031 | 0.205 | 0.237 | 0.357 | 0.296 | 12.838 |
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 | 48 | 48 | 50 | 43 | 48 | 48 | 48 | 58 | 45 |
N.S. |
1 | 1.00 | 1.04 | 0.90 | 1.00 | 1.00 | 1.00 | 1.21 | 0.94 |
time (sec) |
N/A | 0.026 | 0.019 | 0.035 | 0.214 | 0.243 | 0.642 | 0.284 | 12.996 |
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 | 52 | 52 | 50 | 45 | 46 | 46 | 49 | 48 | 46 |
N.S. |
1 | 1.00 | 0.96 | 0.87 | 0.88 | 0.88 | 0.94 | 0.92 | 0.88 |
time (sec) |
N/A | 0.017 | 0.015 | 0.033 | 0.194 | 0.240 | 0.691 | 0.287 | 0.036 |
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 | 54 | 54 | 53 | 45 | 46 | 46 | 49 | 48 | 47 |
N.S. |
1 | 1.00 | 0.98 | 0.83 | 0.85 | 0.85 | 0.91 | 0.89 | 0.87 |
time (sec) |
N/A | 0.026 | 0.011 | 0.034 | 0.229 | 0.253 | 0.962 | 0.284 | 12.902 |
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 | 54 | 54 | 56 | 45 | 46 | 46 | 49 | 48 | 47 |
N.S. |
1 | 1.00 | 1.04 | 0.83 | 0.85 | 0.85 | 0.91 | 0.89 | 0.87 |
time (sec) |
N/A | 0.017 | 0.017 | 0.037 | 0.193 | 0.242 | 1.127 | 0.280 | 12.855 |
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 | 54 | 54 | 50 | 45 | 46 | 46 | 49 | 48 | 47 |
N.S. |
1 | 1.00 | 0.93 | 0.83 | 0.85 | 0.85 | 0.91 | 0.89 | 0.87 |
time (sec) |
N/A | 0.024 | 0.012 | 0.036 | 0.212 | 0.229 | 1.343 | 0.286 | 13.000 |
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 | 89 | 89 | 89 | 85 | 81 | 81 | 97 | 87 | 76 |
N.S. |
1 | 1.00 | 1.00 | 0.96 | 0.91 | 0.91 | 1.09 | 0.98 | 0.85 |
time (sec) |
N/A | 0.040 | 0.011 | 0.079 | 0.194 | 0.228 | 0.026 | 0.306 | 0.037 |
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 | 89 | 89 | 79 | 85 | 81 | 81 | 92 | 87 | 76 |
N.S. |
1 | 1.00 | 0.89 | 0.96 | 0.91 | 0.91 | 1.03 | 0.98 | 0.85 |
time (sec) |
N/A | 0.055 | 0.011 | 0.074 | 0.206 | 0.247 | 0.027 | 0.285 | 0.032 |
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 | 81 | 81 | 81 | 81 | 85 | 77 | 87 | 83 | 72 |
N.S. |
1 | 1.00 | 1.00 | 1.00 | 1.05 | 0.95 | 1.07 | 1.02 | 0.89 |
time (sec) |
N/A | 0.031 | 0.008 | 0.027 | 0.195 | 0.240 | 0.025 | 0.288 | 0.031 |
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 | 85 | 85 | 85 | 82 | 82 | 79 | 92 | 87 | 73 |
N.S. |
1 | 1.00 | 1.00 | 0.96 | 0.96 | 0.93 | 1.08 | 1.02 | 0.86 |
time (sec) |
N/A | 0.055 | 0.015 | 0.065 | 0.201 | 0.239 | 0.080 | 0.292 | 0.036 |
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 | 80 | 80 | 80 | 84 | 78 | 83 | 82 | 83 | 73 |
N.S. |
1 | 1.00 | 1.00 | 1.05 | 0.98 | 1.04 | 1.02 | 1.04 | 0.91 |
time (sec) |
N/A | 0.029 | 0.016 | 0.066 | 0.207 | 0.237 | 0.077 | 0.284 | 0.033 |
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 | 86 | 86 | 78 | 86 | 82 | 85 | 92 | 98 | 75 |
N.S. |
1 | 1.00 | 0.91 | 1.00 | 0.95 | 0.99 | 1.07 | 1.14 | 0.87 |
time (sec) |
N/A | 0.055 | 0.022 | 0.043 | 0.201 | 0.234 | 0.098 | 0.289 | 0.038 |
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 | 83 | 83 | 83 | 84 | 80 | 83 | 90 | 84 | 77 |
N.S. |
1 | 1.00 | 1.00 | 1.01 | 0.96 | 1.00 | 1.08 | 1.01 | 0.93 |
time (sec) |
N/A | 0.027 | 0.018 | 0.038 | 0.196 | 0.235 | 0.102 | 0.289 | 0.032 |
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 | 100 | 100 | 93 | 105 | 0 | 313 | 391 | 92 | 842 |
N.S. |
1 | 1.00 | 0.93 | 1.05 | 0.00 | 3.13 | 3.91 | 0.92 | 8.42 |
time (sec) |
N/A | 0.085 | 0.060 | 0.119 | 0.000 | 0.261 | 1.682 | 0.604 | 13.332 |
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 | 81 | 81 | 78 | 83 | 0 | 254 | 316 | 75 | 655 |
N.S. |
1 | 1.00 | 0.96 | 1.02 | 0.00 | 3.14 | 3.90 | 0.93 | 8.09 |
time (sec) |
N/A | 0.055 | 0.030 | 0.093 | 0.000 | 0.253 | 1.059 | 0.542 | 13.483 |
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 | 63 | 63 | 62 | 60 | 0 | 197 | 223 | 59 | 118 |
N.S. |
1 | 1.00 | 0.98 | 0.95 | 0.00 | 3.13 | 3.54 | 0.94 | 1.87 |
time (sec) |
N/A | 0.038 | 0.016 | 0.066 | 0.000 | 0.247 | 0.486 | 0.591 | 13.113 |
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 | 36 | 36 | 39 | 36 | 0 | 129 | 131 | 35 | 41 |
N.S. |
1 | 1.00 | 1.08 | 1.00 | 0.00 | 3.58 | 3.64 | 0.97 | 1.14 |
time (sec) |
N/A | 0.023 | 0.007 | 0.040 | 0.000 | 0.246 | 0.245 | 0.646 | 0.061 |
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 | 69 | 69 | 113 | 65 | 0 | 223 | 253 | 68 | 1014 |
N.S. |
1 | 1.00 | 1.64 | 0.94 | 0.00 | 3.23 | 3.67 | 0.99 | 14.70 |
time (sec) |
N/A | 0.048 | 0.051 | 0.057 | 0.000 | 0.253 | 8.450 | 0.566 | 13.556 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 135 | 85 | 0 | 293 | 0 | 94 | 2033 |
N.S. |
1 | 1.00 | 1.52 | 0.96 | 0.00 | 3.29 | 0.00 | 1.06 | 22.84 |
time (sec) |
N/A | 0.086 | 0.079 | 0.076 | 0.000 | 0.259 | 0.000 | 0.617 | 14.632 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 114 | 114 | 188 | 134 | 0 | 374 | 0 | 126 | 2451 |
N.S. |
1 | 1.00 | 1.65 | 1.18 | 0.00 | 3.28 | 0.00 | 1.11 | 21.50 |
time (sec) |
N/A | 0.124 | 0.141 | 0.091 | 0.000 | 0.278 | 0.000 | 0.609 | 14.915 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 203 | 203 | 250 | 73 | 0 | 1564 | 194 | 2457 | 4127 |
N.S. |
1 | 1.00 | 1.23 | 0.36 | 0.00 | 7.70 | 0.96 | 12.10 | 20.33 |
time (sec) |
N/A | 0.381 | 0.101 | 0.122 | 0.000 | 0.300 | 11.581 | 0.877 | 13.751 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 179 | 179 | 202 | 57 | 0 | 1059 | 129 | 2109 | 3026 |
N.S. |
1 | 1.00 | 1.13 | 0.32 | 0.00 | 5.92 | 0.72 | 11.78 | 16.91 |
time (sec) |
N/A | 0.167 | 0.072 | 0.064 | 0.000 | 0.271 | 1.108 | 0.918 | 0.692 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 150 | 150 | 165 | 41 | 0 | 559 | 75 | 503 | 416 |
N.S. |
1 | 1.00 | 1.10 | 0.27 | 0.00 | 3.73 | 0.50 | 3.35 | 2.77 |
time (sec) |
N/A | 0.065 | 0.056 | 0.052 | 0.000 | 0.256 | 0.374 | 1.355 | 13.278 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 150 | 150 | 129 | 38 | 0 | 613 | 87 | 1026 | 763 |
N.S. |
1 | 1.00 | 0.86 | 0.25 | 0.00 | 4.09 | 0.58 | 6.84 | 5.09 |
time (sec) |
N/A | 0.048 | 0.051 | 0.048 | 0.000 | 0.264 | 0.570 | 0.896 | 13.462 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 174 | 174 | 191 | 159 | 0 | 1116 | 148 | 1839 | 2997 |
N.S. |
1 | 1.00 | 1.10 | 0.91 | 0.00 | 6.41 | 0.85 | 10.57 | 17.22 |
time (sec) |
N/A | 0.140 | 0.254 | 0.085 | 0.000 | 0.276 | 1.797 | 0.914 | 13.664 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 196 | 196 | 216 | 179 | 0 | 1622 | 211 | 1640 | 4160 |
N.S. |
1 | 1.00 | 1.10 | 0.91 | 0.00 | 8.28 | 1.08 | 8.37 | 21.22 |
time (sec) |
N/A | 0.268 | 0.092 | 0.096 | 0.000 | 0.280 | 74.430 | 0.994 | 13.825 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 132 | 132 | 121 | 179 | 0 | 663 | 0 | 152 | 1336 |
N.S. |
1 | 1.00 | 0.92 | 1.36 | 0.00 | 5.02 | 0.00 | 1.15 | 10.12 |
time (sec) |
N/A | 0.117 | 0.111 | 0.163 | 0.000 | 0.282 | 0.000 | 0.556 | 13.805 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 93 | 104 | 0 | 407 | 282 | 96 | 187 |
N.S. |
1 | 1.00 | 1.19 | 1.33 | 0.00 | 5.22 | 3.62 | 1.23 | 2.40 |
time (sec) |
N/A | 0.046 | 0.058 | 0.096 | 0.000 | 0.264 | 0.749 | 0.541 | 0.157 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 79 | 77 | 0 | 360 | 269 | 82 | 178 |
N.S. |
1 | 1.00 | 1.05 | 1.03 | 0.00 | 4.80 | 3.59 | 1.09 | 2.37 |
time (sec) |
N/A | 0.042 | 0.042 | 0.086 | 0.000 | 0.252 | 0.655 | 0.554 | 13.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 79 | 75 | 0 | 361 | 267 | 82 | 172 |
N.S. |
1 | 1.00 | 1.07 | 1.01 | 0.00 | 4.88 | 3.61 | 1.11 | 2.32 |
time (sec) |
N/A | 0.040 | 0.051 | 0.085 | 0.000 | 0.237 | 0.641 | 0.522 | 0.131 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 122 | 122 | 207 | 185 | 0 | 813 | 0 | 166 | 5048 |
N.S. |
1 | 1.00 | 1.70 | 1.52 | 0.00 | 6.66 | 0.00 | 1.36 | 41.38 |
time (sec) |
N/A | 0.133 | 0.210 | 0.116 | 0.000 | 0.315 | 0.000 | 0.534 | 17.301 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 162 | 162 | 248 | 213 | 0 | 1007 | 0 | 182 | 5491 |
N.S. |
1 | 1.00 | 1.53 | 1.31 | 0.00 | 6.22 | 0.00 | 1.12 | 33.90 |
time (sec) |
N/A | 0.171 | 0.180 | 0.116 | 0.000 | 0.347 | 0.000 | 0.544 | 17.790 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 331 | 331 | 327 | 174 | 0 | 2856 | 0 | 3335 | 7599 |
N.S. |
1 | 1.00 | 0.99 | 0.53 | 0.00 | 8.63 | 0.00 | 10.08 | 22.96 |
time (sec) |
N/A | 0.529 | 0.408 | 0.100 | 0.000 | 0.460 | 0.000 | 0.938 | 1.593 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 271 | 271 | 282 | 151 | 0 | 2257 | 0 | 2736 | 6293 |
N.S. |
1 | 1.00 | 1.04 | 0.56 | 0.00 | 8.33 | 0.00 | 10.10 | 23.22 |
time (sec) |
N/A | 0.346 | 0.319 | 0.089 | 0.000 | 0.331 | 0.000 | 0.864 | 14.815 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 237 | 237 | 235 | 123 | 0 | 1668 | 296 | 2132 | 4973 |
N.S. |
1 | 1.00 | 0.99 | 0.52 | 0.00 | 7.04 | 1.25 | 9.00 | 20.98 |
time (sec) |
N/A | 0.239 | 0.260 | 0.080 | 0.000 | 0.270 | 7.253 | 0.817 | 14.469 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 221 | 221 | 222 | 122 | 0 | 1680 | 0 | 1970 | 4854 |
N.S. |
1 | 1.00 | 1.00 | 0.55 | 0.00 | 7.60 | 0.00 | 8.91 | 21.96 |
time (sec) |
N/A | 0.169 | 0.280 | 0.138 | 0.000 | 0.269 | 0.000 | 0.806 | 1.276 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 252 | 252 | 243 | 151 | 0 | 2309 | 0 | 2682 | 6404 |
N.S. |
1 | 1.00 | 0.96 | 0.60 | 0.00 | 9.16 | 0.00 | 10.64 | 25.41 |
time (sec) |
N/A | 0.329 | 0.271 | 0.112 | 0.000 | 0.327 | 0.000 | 0.506 | 14.671 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 308 | 308 | 302 | 294 | 0 | 2912 | 0 | 3087 | 7555 |
N.S. |
1 | 1.00 | 0.98 | 0.95 | 0.00 | 9.45 | 0.00 | 10.02 | 24.53 |
time (sec) |
N/A | 0.935 | 0.378 | 0.124 | 0.000 | 0.422 | 0.000 | 0.813 | 15.548 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 209 | 209 | 244 | 367 | 0 | 1631 | 0 | 306 | 2588 |
N.S. |
1 | 1.00 | 1.17 | 1.76 | 0.00 | 7.80 | 0.00 | 1.46 | 12.38 |
time (sec) |
N/A | 0.249 | 0.197 | 0.266 | 0.000 | 0.293 | 0.000 | 1.329 | 16.199 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 121 | 121 | 194 | 267 | 0 | 973 | 554 | 212 | 444 |
N.S. |
1 | 1.00 | 1.60 | 2.21 | 0.00 | 8.04 | 4.58 | 1.75 | 3.67 |
time (sec) |
N/A | 0.075 | 0.113 | 0.133 | 0.000 | 0.277 | 2.130 | 1.382 | 13.248 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 119 | 119 | 137 | 230 | 0 | 892 | 524 | 171 | 423 |
N.S. |
1 | 1.00 | 1.15 | 1.93 | 0.00 | 7.50 | 4.40 | 1.44 | 3.55 |
time (sec) |
N/A | 0.067 | 0.130 | 0.135 | 0.000 | 0.256 | 1.645 | 1.321 | 13.125 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 130 | 130 | 145 | 216 | 0 | 907 | 580 | 161 | 460 |
N.S. |
1 | 1.00 | 1.12 | 1.66 | 0.00 | 6.98 | 4.46 | 1.24 | 3.54 |
time (sec) |
N/A | 0.077 | 0.096 | 0.142 | 0.000 | 0.263 | 2.277 | 1.397 | 13.194 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 113 | 114 | 128 | 0 | 808 | 491 | 143 | 400 |
N.S. |
1 | 1.00 | 1.01 | 1.13 | 0.00 | 7.15 | 4.35 | 1.27 | 3.54 |
time (sec) |
N/A | 0.057 | 0.069 | 0.120 | 0.000 | 0.305 | 1.276 | 1.459 | 13.331 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 113 | 106 | 126 | 0 | 809 | 481 | 144 | 386 |
N.S. |
1 | 1.00 | 0.94 | 1.12 | 0.00 | 7.16 | 4.26 | 1.27 | 3.42 |
time (sec) |
N/A | 0.053 | 0.071 | 0.124 | 0.000 | 0.253 | 1.240 | 1.324 | 13.198 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 200 | 200 | 342 | 360 | 0 | 2017 | 0 | 323 | 9339 |
N.S. |
1 | 1.00 | 1.71 | 1.80 | 0.00 | 10.08 | 0.00 | 1.62 | 46.70 |
time (sec) |
N/A | 0.193 | 0.301 | 0.172 | 0.000 | 0.542 | 0.000 | 1.291 | 19.813 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 255 | 255 | 402 | 412 | 0 | 2312 | 0 | 382 | 10074 |
N.S. |
1 | 1.00 | 1.58 | 1.62 | 0.00 | 9.07 | 0.00 | 1.50 | 39.51 |
time (sec) |
N/A | 0.265 | 0.357 | 0.186 | 0.000 | 0.691 | 0.000 | 1.301 | 21.131 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 400 | 400 | 455 | 331 | 0 | 4279 | 0 | 2430 | 10912 |
N.S. |
1 | 1.00 | 1.14 | 0.83 | 0.00 | 10.70 | 0.00 | 6.08 | 27.28 |
time (sec) |
N/A | 1.300 | 0.694 | 0.135 | 0.000 | 0.687 | 0.000 | 2.333 | 18.277 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 348 | 348 | 381 | 289 | 0 | 3725 | 0 | 4558 | 9575 |
N.S. |
1 | 1.00 | 1.09 | 0.83 | 0.00 | 10.70 | 0.00 | 13.10 | 27.51 |
time (sec) |
N/A | 0.526 | 0.591 | 0.127 | 0.000 | 0.447 | 0.000 | 1.934 | 16.904 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 298 | 298 | 343 | 251 | 0 | 3128 | 0 | 1750 | 8521 |
N.S. |
1 | 1.00 | 1.15 | 0.84 | 0.00 | 10.50 | 0.00 | 5.87 | 28.59 |
time (sec) |
N/A | 0.420 | 0.507 | 0.122 | 0.000 | 0.336 | 0.000 | 2.158 | 16.819 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 289 | 289 | 285 | 251 | 0 | 3128 | 0 | 1861 | 8397 |
N.S. |
1 | 1.00 | 0.99 | 0.87 | 0.00 | 10.82 | 0.00 | 6.44 | 29.06 |
time (sec) |
N/A | 0.509 | 0.444 | 0.121 | 0.000 | 0.337 | 0.000 | 2.007 | 16.723 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 311 | 311 | 334 | 289 | 0 | 3777 | 0 | 4270 | 9731 |
N.S. |
1 | 1.00 | 1.07 | 0.93 | 0.00 | 12.14 | 0.00 | 13.73 | 31.29 |
time (sec) |
N/A | 0.479 | 0.516 | 0.256 | 0.000 | 0.455 | 0.000 | 1.829 | 17.418 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 355 | 355 | 372 | 331 | 0 | 4323 | 0 | 2707 | 10979 |
N.S. |
1 | 1.00 | 1.05 | 0.93 | 0.00 | 12.18 | 0.00 | 7.63 | 30.93 |
time (sec) |
N/A | 1.186 | 0.622 | 0.234 | 0.000 | 0.669 | 0.000 | 1.069 | 17.430 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 425 | 425 | 454 | 517 | 0 | 4924 | 0 | 5273 | 12130 |
N.S. |
1 | 1.00 | 1.07 | 1.22 | 0.00 | 11.59 | 0.00 | 12.41 | 28.54 |
time (sec) |
N/A | 0.663 | 1.086 | 0.173 | 0.000 | 1.181 | 0.000 | 1.797 | 18.267 |
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 | 82 | 82 | 80 | 86 | 0 | 259 | 311 | 78 | 656 |
N.S. |
1 | 1.00 | 0.98 | 1.05 | 0.00 | 3.16 | 3.79 | 0.95 | 8.00 |
time (sec) |
N/A | 0.062 | 0.038 | 0.082 | 0.000 | 0.259 | 1.093 | 0.607 | 0.511 |
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 | 64 | 64 | 65 | 63 | 0 | 206 | 223 | 62 | 120 |
N.S. |
1 | 1.00 | 1.02 | 0.98 | 0.00 | 3.22 | 3.48 | 0.97 | 1.88 |
time (sec) |
N/A | 0.041 | 0.017 | 0.046 | 0.000 | 0.253 | 0.499 | 0.628 | 13.022 |
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 | 35 | 35 | 41 | 38 | 0 | 134 | 131 | 37 | 42 |
N.S. |
1 | 1.00 | 1.17 | 1.09 | 0.00 | 3.83 | 3.74 | 1.06 | 1.20 |
time (sec) |
N/A | 0.024 | 0.007 | 0.034 | 0.000 | 0.263 | 0.272 | 0.562 | 12.912 |
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 | 70 | 70 | 117 | 68 | 0 | 230 | 253 | 71 | 1015 |
N.S. |
1 | 1.00 | 1.67 | 0.97 | 0.00 | 3.29 | 3.61 | 1.01 | 14.50 |
time (sec) |
N/A | 0.050 | 0.048 | 0.056 | 0.000 | 0.255 | 8.448 | 0.545 | 0.661 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 139 | 87 | 0 | 298 | 0 | 95 | 2032 |
N.S. |
1 | 1.00 | 1.56 | 0.98 | 0.00 | 3.35 | 0.00 | 1.07 | 22.83 |
time (sec) |
N/A | 0.096 | 0.094 | 0.074 | 0.000 | 0.256 | 0.000 | 0.592 | 14.565 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 179 | 179 | 208 | 58 | 0 | 1051 | 129 | 2153 | 3000 |
N.S. |
1 | 1.00 | 1.16 | 0.32 | 0.00 | 5.87 | 0.72 | 12.03 | 16.76 |
time (sec) |
N/A | 0.212 | 0.083 | 0.072 | 0.000 | 0.260 | 1.125 | 0.827 | 0.706 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 150 | 150 | 137 | 43 | 0 | 551 | 75 | 513 | 416 |
N.S. |
1 | 1.00 | 0.91 | 0.29 | 0.00 | 3.67 | 0.50 | 3.42 | 2.77 |
time (sec) |
N/A | 0.070 | 0.068 | 0.049 | 0.000 | 0.242 | 0.383 | 0.902 | 13.141 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 150 | 150 | 137 | 40 | 0 | 605 | 87 | 1050 | 763 |
N.S. |
1 | 1.00 | 0.91 | 0.27 | 0.00 | 4.03 | 0.58 | 7.00 | 5.09 |
time (sec) |
N/A | 0.036 | 0.053 | 0.044 | 0.000 | 0.249 | 0.597 | 0.567 | 0.512 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 172 | 172 | 199 | 159 | 0 | 1108 | 148 | 1877 | 2979 |
N.S. |
1 | 1.00 | 1.16 | 0.92 | 0.00 | 6.44 | 0.86 | 10.91 | 17.32 |
time (sec) |
N/A | 0.120 | 0.272 | 0.087 | 0.000 | 0.266 | 1.821 | 0.829 | 13.914 |
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 | 69 | 69 | 62 | 63 | 74 | 156 | 138 | 60 | 166 |
N.S. |
1 | 1.00 | 0.90 | 0.91 | 1.07 | 2.26 | 2.00 | 0.87 | 2.41 |
time (sec) |
N/A | 0.059 | 0.028 | 0.080 | 0.290 | 0.277 | 0.638 | 0.325 | 0.402 |
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 | 56 | 56 | 51 | 49 | 60 | 134 | 110 | 46 | 153 |
N.S. |
1 | 1.00 | 0.91 | 0.88 | 1.07 | 2.39 | 1.96 | 0.82 | 2.73 |
time (sec) |
N/A | 0.033 | 0.014 | 0.051 | 0.282 | 0.243 | 0.333 | 0.320 | 13.732 |
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 | 31 | 31 | 31 | 26 | 37 | 91 | 53 | 23 | 31 |
N.S. |
1 | 1.00 | 1.00 | 0.84 | 1.19 | 2.94 | 1.71 | 0.74 | 1.00 |
time (sec) |
N/A | 0.022 | 0.009 | 0.043 | 0.280 | 0.241 | 0.167 | 0.311 | 13.559 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 90 | 64 | 85 | 151 | 184 | 71 | 183 |
N.S. |
1 | 1.00 | 1.17 | 0.83 | 1.10 | 1.96 | 2.39 | 0.92 | 2.38 |
time (sec) |
N/A | 0.049 | 0.040 | 0.055 | 0.273 | 0.252 | 2.470 | 0.331 | 13.924 |