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 | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 19 | 16 | 15 | 15 | 14 | 15 | 11 |
N.S. |
1 | 1.00 | 1.00 | 0.84 | 0.79 | 0.79 | 0.74 | 0.79 | 0.58 |
time (sec) |
N/A | 0.145 | 0.002 | 0.023 | 0.197 | 0.290 | 0.042 | 0.296 | 0.229 |
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 | 19 | 19 | 19 | 16 | 15 | 15 | 14 | 15 | 11 |
N.S. |
1 | 1.00 | 1.00 | 0.84 | 0.79 | 0.79 | 0.74 | 0.79 | 0.58 |
time (sec) |
N/A | 0.145 | 0.002 | 0.016 | 0.186 | 0.302 | 0.036 | 0.293 | 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 | 19 | 19 | 19 | 16 | 15 | 15 | 14 | 15 | 11 |
N.S. |
1 | 1.00 | 1.00 | 0.84 | 0.79 | 0.79 | 0.74 | 0.79 | 0.58 |
time (sec) |
N/A | 0.141 | 0.002 | 0.014 | 0.189 | 0.274 | 0.036 | 0.291 | 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 | 10 | 10 | 10 | 11 | 16 | 10 | 7 | 16 | 8 |
N.S. |
1 | 1.00 | 1.00 | 1.10 | 1.60 | 1.00 | 0.70 | 1.60 | 0.80 |
time (sec) |
N/A | 0.140 | 0.002 | 0.011 | 0.188 | 0.305 | 0.041 | 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 | 10 | 10 | 10 | 9 | 8 | 8 | 7 | 8 | 8 |
N.S. |
1 | 1.00 | 1.00 | 0.90 | 0.80 | 0.80 | 0.70 | 0.80 | 0.80 |
time (sec) |
N/A | 0.144 | 0.002 | 0.027 | 0.185 | 0.314 | 0.036 | 0.312 | 0.257 |
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 | 15 | 15 | 15 | 13 | 15 | 11 | 10 | 15 | 11 |
N.S. |
1 | 1.00 | 1.00 | 0.87 | 1.00 | 0.73 | 0.67 | 1.00 | 0.73 |
time (sec) |
N/A | 0.146 | 0.002 | 0.018 | 0.198 | 0.298 | 0.041 | 0.335 | 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 | 19 | 19 | 19 | 13 | 15 | 13 | 17 | 15 | 11 |
N.S. |
1 | 1.00 | 1.00 | 0.68 | 0.79 | 0.68 | 0.89 | 0.79 | 0.58 |
time (sec) |
N/A | 0.142 | 0.002 | 0.019 | 0.178 | 0.292 | 0.045 | 0.336 | 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 | 32 | 37 | 32 | 27 | 21 | 26 | 26 | 26 | 21 |
N.S. |
1 | 1.16 | 1.00 | 0.84 | 0.66 | 0.81 | 0.81 | 0.81 | 0.66 |
time (sec) |
N/A | 0.180 | 0.003 | 0.021 | 0.187 | 0.318 | 0.046 | 0.317 | 0.240 |
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 | 32 | 37 | 32 | 27 | 21 | 26 | 29 | 26 | 21 |
N.S. |
1 | 1.16 | 1.00 | 0.84 | 0.66 | 0.81 | 0.91 | 0.81 | 0.66 |
time (sec) |
N/A | 0.182 | 0.002 | 0.019 | 0.186 | 0.310 | 0.046 | 0.320 | 0.234 |
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 | 32 | 32 | 32 | 27 | 21 | 26 | 26 | 26 | 21 |
N.S. |
1 | 1.00 | 1.00 | 0.84 | 0.66 | 0.81 | 0.81 | 0.81 | 0.66 |
time (sec) |
N/A | 0.171 | 0.002 | 0.017 | 0.188 | 0.297 | 0.044 | 0.323 | 0.291 |
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 | 19 | 21 | 19 | 20 | 16 | 19 | 19 | 19 | 16 |
N.S. |
1 | 1.11 | 1.00 | 1.05 | 0.84 | 1.00 | 1.00 | 1.00 | 0.84 |
time (sec) |
N/A | 0.163 | 0.002 | 0.014 | 0.185 | 0.313 | 0.044 | 0.299 | 0.250 |
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 | 10 | 10 | 10 | 9 | 8 | 8 | 7 | 8 | 8 |
N.S. |
1 | 1.00 | 1.00 | 0.90 | 0.80 | 0.80 | 0.70 | 0.80 | 0.80 |
time (sec) |
N/A | 0.145 | 0.002 | 0.371 | 0.205 | 0.286 | 0.036 | 0.329 | 0.246 |
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 | 26 | 29 | 26 | 21 | 19 | 19 | 20 | 26 | 19 |
N.S. |
1 | 1.12 | 1.00 | 0.81 | 0.73 | 0.73 | 0.77 | 1.00 | 0.73 |
time (sec) |
N/A | 0.179 | 0.002 | 0.020 | 0.186 | 0.296 | 0.050 | 0.297 | 0.297 |
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 | 32 | 32 | 32 | 21 | 21 | 21 | 29 | 26 | 21 |
N.S. |
1 | 1.00 | 1.00 | 0.66 | 0.66 | 0.66 | 0.91 | 0.81 | 0.66 |
time (sec) |
N/A | 0.178 | 0.002 | 0.025 | 0.205 | 0.297 | 0.061 | 0.295 | 0.325 |
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 | 55 | 45 | 38 | 29 | 37 | 42 | 37 | 29 |
N.S. |
1 | 1.22 | 1.00 | 0.84 | 0.64 | 0.82 | 0.93 | 0.82 | 0.64 |
time (sec) |
N/A | 0.221 | 0.003 | 0.026 | 0.192 | 0.332 | 0.056 | 0.299 | 0.307 |
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 | 50 | 45 | 38 | 29 | 37 | 41 | 37 | 29 |
N.S. |
1 | 1.11 | 1.00 | 0.84 | 0.64 | 0.82 | 0.91 | 0.82 | 0.64 |
time (sec) |
N/A | 0.214 | 0.003 | 0.021 | 0.187 | 0.331 | 0.054 | 0.301 | 0.250 |
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 | 50 | 45 | 38 | 29 | 37 | 42 | 37 | 29 |
N.S. |
1 | 1.11 | 1.00 | 0.84 | 0.64 | 0.82 | 0.93 | 0.82 | 0.64 |
time (sec) |
N/A | 0.204 | 0.002 | 0.017 | 0.186 | 0.320 | 0.053 | 0.311 | 0.275 |
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 | 28 | 32 | 28 | 29 | 24 | 28 | 29 | 28 | 24 |
N.S. |
1 | 1.14 | 1.00 | 1.04 | 0.86 | 1.00 | 1.04 | 1.00 | 0.86 |
time (sec) |
N/A | 0.188 | 0.002 | 0.017 | 0.185 | 0.299 | 0.049 | 0.277 | 0.271 |
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 | 10 | 10 | 10 | 9 | 8 | 8 | 7 | 8 | 8 |
N.S. |
1 | 1.00 | 1.00 | 0.90 | 0.80 | 0.80 | 0.70 | 0.80 | 0.80 |
time (sec) |
N/A | 0.147 | 0.002 | 0.218 | 0.221 | 0.302 | 0.036 | 0.315 | 0.245 |
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 | 37 | 43 | 37 | 29 | 27 | 27 | 31 | 37 | 27 |
N.S. |
1 | 1.16 | 1.00 | 0.78 | 0.73 | 0.73 | 0.84 | 1.00 | 0.73 |
time (sec) |
N/A | 0.218 | 0.002 | 0.026 | 0.191 | 0.317 | 0.061 | 0.300 | 0.230 |
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 | 50 | 45 | 29 | 29 | 29 | 44 | 37 | 29 |
N.S. |
1 | 1.11 | 1.00 | 0.64 | 0.64 | 0.64 | 0.98 | 0.82 | 0.64 |
time (sec) |
N/A | 0.215 | 0.002 | 0.025 | 0.189 | 0.313 | 0.075 | 0.291 | 0.252 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 11 | 14 | 11 | 12 | 0 | 11 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.27 | 1.00 | 1.09 | 0.00 | 1.00 | 0.00 |
time (sec) |
N/A | 0.172 | 0.018 | 0.031 | 0.250 | 0.336 | 0.000 | 0.329 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 11 | 14 | 11 | 12 | 0 | 11 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.27 | 1.00 | 1.09 | 0.00 | 1.00 | 0.00 |
time (sec) |
N/A | 0.173 | 0.018 | 0.016 | 0.243 | 0.286 | 0.000 | 0.298 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 11 | 14 | 11 | 12 | 0 | 11 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.27 | 1.00 | 1.09 | 0.00 | 1.00 | 0.00 |
time (sec) |
N/A | 0.170 | 0.017 | 0.014 | 0.236 | 0.289 | 0.000 | 0.304 | 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 | 8 | 8 | 8 | 14 | 9 | 8 | 5 | 9 | 8 |
N.S. |
1 | 1.00 | 1.00 | 1.75 | 1.12 | 1.00 | 0.62 | 1.12 | 1.00 |
time (sec) |
N/A | 0.135 | 0.007 | 0.016 | 0.232 | 0.301 | 0.162 | 0.279 | 0.204 |
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 | 5 | 5 | 5 | 6 | 5 | 5 | 5 | 5 | 5 |
N.S. |
1 | 1.00 | 1.00 | 1.20 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.145 | 0.005 | 0.016 | 0.188 | 0.300 | 0.038 | 0.283 | 0.204 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 9 | 9 | 9 | 10 | 9 | 10 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.11 | 1.00 | 1.11 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.170 | 0.018 | 0.019 | 0.227 | 0.277 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 11 | 14 | 11 | 12 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.27 | 1.00 | 1.09 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.173 | 0.020 | 0.022 | 0.232 | 0.285 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 24 | 26 | 13 | 33 | 0 | 24 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.08 | 0.54 | 1.38 | 0.00 | 1.00 | 0.00 |
time (sec) |
N/A | 0.208 | 0.019 | 0.027 | 0.237 | 0.290 | 0.000 | 0.284 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 24 | 26 | 13 | 33 | 0 | 24 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.08 | 0.54 | 1.38 | 0.00 | 1.00 | 0.00 |
time (sec) |
N/A | 0.217 | 0.019 | 0.024 | 0.232 | 0.303 | 0.000 | 0.294 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 24 | 26 | 13 | 33 | 0 | 24 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.08 | 0.54 | 1.38 | 0.00 | 1.00 | 0.00 |
time (sec) |
N/A | 0.200 | 0.018 | 0.023 | 0.232 | 0.291 | 0.000 | 0.325 | 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 | 18 | 18 | 18 | 24 | 12 | 25 | 12 | 19 | 18 |
N.S. |
1 | 1.00 | 1.00 | 1.33 | 0.67 | 1.39 | 0.67 | 1.06 | 1.00 |
time (sec) |
N/A | 0.158 | 0.007 | 0.020 | 0.230 | 0.288 | 0.167 | 0.298 | 0.254 |
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 | 8 | 8 | 8 | 9 | 8 | 8 | 7 | 8 | 8 |
N.S. |
1 | 1.00 | 1.00 | 1.12 | 1.00 | 1.00 | 0.88 | 1.00 | 1.00 |
time (sec) |
N/A | 0.142 | 0.002 | 0.018 | 0.188 | 0.295 | 0.032 | 0.301 | 0.243 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 22 | 21 | 9 | 28 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.95 | 0.41 | 1.27 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.207 | 0.021 | 0.029 | 0.243 | 0.310 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 24 | 26 | 13 | 33 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.08 | 0.54 | 1.38 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.213 | 0.022 | 0.027 | 0.242 | 0.327 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 37 | 40 | 37 | 34 | 13 | 47 | 0 | 35 | 0 |
N.S. |
1 | 1.08 | 1.00 | 0.92 | 0.35 | 1.27 | 0.00 | 0.95 | 0.00 |
time (sec) |
N/A | 0.248 | 0.021 | 0.029 | 0.244 | 0.305 | 0.000 | 0.289 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 42 | 41 | 34 | 13 | 47 | 0 | 35 | 0 |
N.S. |
1 | 1.02 | 1.00 | 0.83 | 0.32 | 1.15 | 0.00 | 0.85 | 0.00 |
time (sec) |
N/A | 0.249 | 0.022 | 0.028 | 0.234 | 0.280 | 0.000 | 0.328 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 37 | 34 | 13 | 47 | 0 | 35 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.92 | 0.35 | 1.27 | 0.00 | 0.95 | 0.00 |
time (sec) |
N/A | 0.235 | 0.006 | 0.023 | 0.231 | 0.298 | 0.000 | 0.301 | 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 | 34 | 34 | 34 | 30 | 13 | 34 | 26 | 29 | 29 |
N.S. |
1 | 1.00 | 1.00 | 0.88 | 0.38 | 1.00 | 0.76 | 0.85 | 0.85 |
time (sec) |
N/A | 0.184 | 0.010 | 0.021 | 0.233 | 0.268 | 0.191 | 0.323 | 0.287 |
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 | 10 | 10 | 10 | 9 | 8 | 8 | 10 | 8 | 8 |
N.S. |
1 | 1.00 | 1.00 | 0.90 | 0.80 | 0.80 | 1.00 | 0.80 | 0.80 |
time (sec) |
N/A | 0.144 | 0.002 | 0.021 | 0.187 | 0.319 | 0.037 | 0.300 | 0.229 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 39 | 38 | 39 | 28 | 9 | 34 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 1.00 | 0.72 | 0.23 | 0.87 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.245 | 0.020 | 0.030 | 0.236 | 0.319 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 36 | 34 | 13 | 41 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 0.36 | 1.14 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.244 | 0.023 | 0.035 | 0.231 | 0.294 | 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 | 27 | 27 | 32 | 27 | 26 | 30 | 27 | 31 | 25 |
N.S. |
1 | 1.00 | 1.19 | 1.00 | 0.96 | 1.11 | 1.00 | 1.15 | 0.93 |
time (sec) |
N/A | 0.153 | 0.003 | 0.119 | 0.193 | 0.311 | 0.233 | 0.292 | 0.299 |
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 | 27 | 27 | 32 | 27 | 26 | 30 | 27 | 31 | 25 |
N.S. |
1 | 1.00 | 1.19 | 1.00 | 0.96 | 1.11 | 1.00 | 1.15 | 0.93 |
time (sec) |
N/A | 0.153 | 0.002 | 0.069 | 0.179 | 0.294 | 0.161 | 0.288 | 0.300 |
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 | 27 | 27 | 32 | 27 | 26 | 30 | 27 | 31 | 25 |
N.S. |
1 | 1.00 | 1.19 | 1.00 | 0.96 | 1.11 | 1.00 | 1.15 | 0.93 |
time (sec) |
N/A | 0.147 | 0.002 | 0.075 | 0.178 | 0.299 | 0.119 | 0.331 | 0.269 |
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 | 19 | 18 | 22 | 15 | 20 | 18 |
N.S. |
1 | 1.00 | 1.00 | 1.06 | 1.00 | 1.22 | 0.83 | 1.11 | 1.00 |
time (sec) |
N/A | 0.138 | 0.002 | 0.039 | 0.181 | 0.313 | 0.085 | 0.339 | 0.258 |
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 | 22 | 22 | 21 | 20 | 20 | 18 | 34 | 19 | 19 |
N.S. |
1 | 1.00 | 0.95 | 0.91 | 0.91 | 0.82 | 1.55 | 0.86 | 0.86 |
time (sec) |
N/A | 0.151 | 0.002 | 0.094 | 0.175 | 0.327 | 1.536 | 0.311 | 0.245 |
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 | 26 | 19 | 26 | 19 | 19 | 24 | 23 |
N.S. |
1 | 1.00 | 1.13 | 0.83 | 1.13 | 0.83 | 0.83 | 1.04 | 1.00 |
time (sec) |
N/A | 0.151 | 0.002 | 0.053 | 0.184 | 0.296 | 0.117 | 0.365 | 0.268 |
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 | 27 | 27 | 32 | 22 | 26 | 23 | 29 | 27 | 26 |
N.S. |
1 | 1.00 | 1.19 | 0.81 | 0.96 | 0.85 | 1.07 | 1.00 | 0.96 |
time (sec) |
N/A | 0.152 | 0.002 | 0.061 | 0.186 | 0.312 | 0.222 | 0.342 | 0.295 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 52 | 53 | 43 | 73 | 71 | 102 | 78 | 111 | 61 |
N.S. |
1 | 1.02 | 0.83 | 1.40 | 1.37 | 1.96 | 1.50 | 2.13 | 1.17 |
time (sec) |
N/A | 0.201 | 0.011 | 0.180 | 0.186 | 0.325 | 0.322 | 0.338 | 0.321 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 52 | 53 | 46 | 73 | 71 | 103 | 85 | 111 | 62 |
N.S. |
1 | 1.02 | 0.88 | 1.40 | 1.37 | 1.98 | 1.63 | 2.13 | 1.19 |
time (sec) |
N/A | 0.203 | 0.015 | 0.142 | 0.181 | 0.299 | 0.225 | 0.319 | 0.326 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 52 | 51 | 41 | 72 | 70 | 102 | 76 | 108 | 60 |
N.S. |
1 | 0.98 | 0.79 | 1.38 | 1.35 | 1.96 | 1.46 | 2.08 | 1.15 |
time (sec) |
N/A | 0.195 | 0.010 | 0.102 | 0.193 | 0.306 | 0.167 | 0.335 | 0.304 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 37 | 33 | 57 | 57 | 85 | 65 | 88 | 49 |
N.S. |
1 | 0.86 | 0.77 | 1.33 | 1.33 | 1.98 | 1.51 | 2.05 | 1.14 |
time (sec) |
N/A | 0.172 | 0.007 | 0.102 | 0.181 | 0.310 | 0.126 | 0.358 | 0.285 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 22 | 21 | 20 | 51 | 60 | 56 | 37 |
N.S. |
1 | 1.00 | 1.00 | 0.95 | 0.91 | 2.32 | 2.73 | 2.55 | 1.68 |
time (sec) |
N/A | 0.163 | 0.004 | 0.158 | 0.184 | 0.300 | 5.282 | 0.337 | 0.290 |
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 | 46 | 45 | 35 | 57 | 70 | 77 | 66 | 86 | 56 |
N.S. |
1 | 0.98 | 0.76 | 1.24 | 1.52 | 1.67 | 1.43 | 1.87 | 1.22 |
time (sec) |
N/A | 0.206 | 0.010 | 0.109 | 0.184 | 0.285 | 0.127 | 0.347 | 0.319 |
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 | 50 | 41 | 59 | 71 | 83 | 78 | 90 | 62 |
N.S. |
1 | 0.96 | 0.79 | 1.13 | 1.37 | 1.60 | 1.50 | 1.73 | 1.19 |
time (sec) |
N/A | 0.203 | 0.010 | 0.114 | 0.182 | 0.323 | 0.235 | 0.419 | 0.344 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 79 | 66 | 141 | 135 | 222 | 167 | 262 | 110 |
N.S. |
1 | 1.03 | 0.86 | 1.83 | 1.75 | 2.88 | 2.17 | 3.40 | 1.43 |
time (sec) |
N/A | 0.265 | 0.023 | 0.397 | 0.189 | 0.314 | 0.450 | 0.303 | 0.374 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 67 | 139 | 134 | 224 | 156 | 256 | 108 |
N.S. |
1 | 1.00 | 0.87 | 1.81 | 1.74 | 2.91 | 2.03 | 3.32 | 1.40 |
time (sec) |
N/A | 0.264 | 0.012 | 0.313 | 0.187 | 0.293 | 0.320 | 0.331 | 0.353 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 60 | 141 | 135 | 222 | 167 | 262 | 110 |
N.S. |
1 | 1.00 | 0.78 | 1.83 | 1.75 | 2.88 | 2.17 | 3.40 | 1.43 |
time (sec) |
N/A | 0.241 | 0.022 | 0.243 | 0.189 | 0.301 | 0.237 | 0.343 | 0.367 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 66 | 56 | 50 | 119 | 113 | 198 | 133 | 219 | 94 |
N.S. |
1 | 0.85 | 0.76 | 1.80 | 1.71 | 3.00 | 2.02 | 3.32 | 1.42 |
time (sec) |
N/A | 0.216 | 0.007 | 0.187 | 0.189 | 0.304 | 0.172 | 0.325 | 0.338 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 22 | 21 | 20 | 100 | 92 | 114 | 56 |
N.S. |
1 | 1.00 | 1.00 | 0.95 | 0.91 | 4.55 | 4.18 | 5.18 | 2.55 |
time (sec) |
N/A | 0.165 | 0.004 | 0.384 | 0.182 | 0.291 | 7.271 | 0.320 | 0.310 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 69 | 67 | 52 | 113 | 133 | 180 | 134 | 197 | 104 |
N.S. |
1 | 0.97 | 0.75 | 1.64 | 1.93 | 2.61 | 1.94 | 2.86 | 1.51 |
time (sec) |
N/A | 0.260 | 0.014 | 0.257 | 0.187 | 0.270 | 0.170 | 0.332 | 0.381 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 76 | 60 | 116 | 135 | 189 | 168 | 203 | 111 |
N.S. |
1 | 0.99 | 0.78 | 1.51 | 1.75 | 2.45 | 2.18 | 2.64 | 1.44 |
time (sec) |
N/A | 0.261 | 0.017 | 0.276 | 0.190 | 0.307 | 0.251 | 0.350 | 0.412 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 76 | 60 | 116 | 136 | 191 | 158 | 204 | 110 |
N.S. |
1 | 0.99 | 0.78 | 1.51 | 1.77 | 2.48 | 2.05 | 2.65 | 1.43 |
time (sec) |
N/A | 0.261 | 0.018 | 0.273 | 0.186 | 0.318 | 0.309 | 0.345 | 0.406 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 51 | 242 | 0 | 42 | 0 | 48 | 0 |
N.S. |
1 | 1.00 | 1.00 | 4.75 | 0.00 | 0.82 | 0.00 | 0.94 | 0.00 |
time (sec) |
N/A | 0.226 | 0.047 | 0.378 | 0.000 | 0.288 | 0.000 | 0.349 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 51 | 242 | 0 | 42 | 0 | 48 | 0 |
N.S. |
1 | 1.00 | 1.00 | 4.75 | 0.00 | 0.82 | 0.00 | 0.94 | 0.00 |
time (sec) |
N/A | 0.231 | 0.043 | 0.314 | 0.000 | 0.315 | 0.000 | 0.326 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 51 | 242 | 0 | 42 | 0 | 48 | 0 |
N.S. |
1 | 1.00 | 1.00 | 4.75 | 0.00 | 0.82 | 0.00 | 0.94 | 0.00 |
time (sec) |
N/A | 0.228 | 0.046 | 0.283 | 0.000 | 0.285 | 0.000 | 0.339 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 48 | 48 | 48 | 240 | 0 | 39 | 0 | 42 | 0 |
N.S. |
1 | 1.00 | 1.00 | 5.00 | 0.00 | 0.81 | 0.00 | 0.88 | 0.00 |
time (sec) |
N/A | 0.214 | 0.035 | 0.289 | 0.000 | 0.313 | 0.000 | 0.407 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 19 | 18 | 19 | 31 | 45 | 18 |
N.S. |
1 | 1.00 | 1.00 | 1.06 | 1.00 | 1.06 | 1.72 | 2.50 | 1.00 |
time (sec) |
N/A | 0.171 | 0.038 | 0.091 | 0.181 | 0.292 | 0.363 | 0.414 | 0.301 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 48 | 48 | 48 | 236 | 0 | 41 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 4.92 | 0.00 | 0.85 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.230 | 0.042 | 0.577 | 0.000 | 0.304 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 51 | 240 | 0 | 42 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 4.71 | 0.00 | 0.82 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.227 | 0.042 | 0.406 | 0.000 | 0.293 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 51 | 242 | 0 | 42 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 4.75 | 0.00 | 0.82 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.231 | 0.043 | 0.456 | 0.000 | 0.290 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 70 | 354 | 0 | 101 | 0 | 261 | 0 |
N.S. |
1 | 1.00 | 0.92 | 4.66 | 0.00 | 1.33 | 0.00 | 3.43 | 0.00 |
time (sec) |
N/A | 0.292 | 0.086 | 0.347 | 0.000 | 0.301 | 0.000 | 0.375 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 70 | 354 | 0 | 101 | 0 | 261 | 0 |
N.S. |
1 | 1.00 | 0.92 | 4.66 | 0.00 | 1.33 | 0.00 | 3.43 | 0.00 |
time (sec) |
N/A | 0.285 | 0.084 | 0.347 | 0.000 | 0.304 | 0.000 | 0.370 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 70 | 350 | 0 | 101 | 0 | 261 | 0 |
N.S. |
1 | 1.00 | 0.92 | 4.61 | 0.00 | 1.33 | 0.00 | 3.43 | 0.00 |
time (sec) |
N/A | 0.273 | 0.084 | 0.342 | 0.000 | 0.289 | 0.000 | 0.362 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 70 | 70 | 66 | 350 | 0 | 95 | 0 | 238 | 0 |
N.S. |
1 | 1.00 | 0.94 | 5.00 | 0.00 | 1.36 | 0.00 | 3.40 | 0.00 |
time (sec) |
N/A | 0.248 | 0.069 | 0.342 | 0.000 | 0.290 | 0.000 | 0.327 | 0.000 |
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 | 21 | 20 | 25 | 39 | 21 | 20 |
N.S. |
1 | 1.00 | 1.00 | 1.05 | 1.00 | 1.25 | 1.95 | 1.05 | 1.00 |
time (sec) |
N/A | 0.163 | 0.005 | 0.117 | 0.189 | 0.299 | 0.867 | 0.322 | 0.269 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 76 | 347 | 0 | 88 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.04 | 4.75 | 0.00 | 1.21 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.282 | 0.069 | 0.475 | 0.000 | 0.293 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 80 | 352 | 0 | 102 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.05 | 4.63 | 0.00 | 1.34 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.281 | 0.066 | 0.503 | 0.000 | 0.307 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 80 | 354 | 0 | 102 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.05 | 4.66 | 0.00 | 1.34 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.281 | 0.070 | 0.658 | 0.000 | 0.305 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 101 | 110 | 89 | 473 | 0 | 211 | 0 | 1029 | 0 |
N.S. |
1 | 1.09 | 0.88 | 4.68 | 0.00 | 2.09 | 0.00 | 10.19 | 0.00 |
time (sec) |
N/A | 0.355 | 0.095 | 0.441 | 0.000 | 0.308 | 0.000 | 0.365 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 105 | 112 | 89 | 477 | 0 | 211 | 0 | 1029 | 0 |
N.S. |
1 | 1.07 | 0.85 | 4.54 | 0.00 | 2.01 | 0.00 | 9.80 | 0.00 |
time (sec) |
N/A | 0.354 | 0.098 | 0.358 | 0.000 | 0.300 | 0.000 | 0.361 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 101 | 109 | 89 | 476 | 0 | 211 | 0 | 1029 | 0 |
N.S. |
1 | 1.08 | 0.88 | 4.71 | 0.00 | 2.09 | 0.00 | 10.19 | 0.00 |
time (sec) |
N/A | 0.335 | 0.092 | 0.563 | 0.000 | 0.313 | 0.000 | 0.458 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 98 | 104 | 82 | 459 | 0 | 198 | 0 | 982 | 0 |
N.S. |
1 | 1.06 | 0.84 | 4.68 | 0.00 | 2.02 | 0.00 | 10.02 | 0.00 |
time (sec) |
N/A | 0.305 | 0.076 | 0.388 | 0.000 | 0.300 | 0.000 | 0.420 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 22 | 21 | 20 | 62 | 61 | 21 | 39 |
N.S. |
1 | 1.00 | 1.00 | 0.95 | 0.91 | 2.82 | 2.77 | 0.95 | 1.77 |
time (sec) |
N/A | 0.170 | 0.004 | 0.134 | 0.195 | 0.301 | 1.874 | 0.316 | 0.239 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 102 | 109 | 94 | 449 | 0 | 192 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.92 | 4.40 | 0.00 | 1.88 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.357 | 0.065 | 0.681 | 0.000 | 0.308 | 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 | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 100 | 110 | 89 | 454 | 0 | 221 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 0.89 | 4.54 | 0.00 | 2.21 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.363 | 0.084 | 0.616 | 0.000 | 0.329 | 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 | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 105 | 112 | 89 | 455 | 0 | 221 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.85 | 4.33 | 0.00 | 2.10 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.367 | 0.080 | 0.854 | 0.000 | 0.292 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | A | C | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 29 | 128 | 41 | 50 | 48 | 117 | 0 |
N.S. |
1 | 1.00 | 0.71 | 3.12 | 1.00 | 1.22 | 1.17 | 2.85 | 0.00 |
time (sec) |
N/A | 0.170 | 0.012 | 0.083 | 0.243 | 0.282 | 13.699 | 0.365 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | A | C | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 29 | 128 | 41 | 42 | 48 | 108 | 0 |
N.S. |
1 | 1.00 | 0.71 | 3.12 | 1.00 | 1.02 | 1.17 | 2.63 | 0.00 |
time (sec) |
N/A | 0.172 | 0.009 | 0.033 | 0.213 | 0.280 | 1.846 | 0.332 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | A | C | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 29 | 124 | 41 | 32 | 48 | 105 | 0 |
N.S. |
1 | 1.00 | 0.71 | 3.02 | 1.00 | 0.78 | 1.17 | 2.56 | 0.00 |
time (sec) |
N/A | 0.167 | 0.006 | 0.032 | 0.222 | 0.286 | 0.202 | 0.330 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 24 | 36 | 41 | 25 | 42 | 41 | 0 |
N.S. |
1 | 1.00 | 0.65 | 0.97 | 1.11 | 0.68 | 1.14 | 1.11 | 0.00 |
time (sec) |
N/A | 0.173 | 0.006 | 0.027 | 0.205 | 0.282 | 0.235 | 0.304 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 24 | 122 | 41 | 28 | 44 | 43 | 0 |
N.S. |
1 | 1.00 | 0.65 | 3.30 | 1.11 | 0.76 | 1.19 | 1.16 | 0.00 |
time (sec) |
N/A | 0.168 | 0.007 | 0.036 | 0.204 | 0.279 | 0.453 | 0.356 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | A | B | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 29 | 128 | 41 | 32 | 49 | 67 | 0 |
N.S. |
1 | 1.00 | 0.71 | 3.12 | 1.00 | 0.78 | 1.20 | 1.63 | 0.00 |
time (sec) |
N/A | 0.170 | 0.007 | 0.039 | 0.203 | 0.299 | 2.140 | 0.329 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | B | A | C | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 73 | 74 | 61 | 716 | 102 | 141 | 119 | 425 | 0 |
N.S. |
1 | 1.01 | 0.84 | 9.81 | 1.40 | 1.93 | 1.63 | 5.82 | 0.00 |
time (sec) |
N/A | 0.231 | 0.016 | 0.207 | 0.211 | 0.305 | 22.490 | 0.436 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | A | C | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 73 | 74 | 61 | 716 | 102 | 121 | 119 | 386 | 0 |
N.S. |
1 | 1.01 | 0.84 | 9.81 | 1.40 | 1.66 | 1.63 | 5.29 | 0.00 |
time (sec) |
N/A | 0.230 | 0.014 | 0.076 | 0.214 | 0.298 | 3.229 | 0.429 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | A | C | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 73 | 74 | 61 | 710 | 102 | 99 | 119 | 383 | 0 |
N.S. |
1 | 1.01 | 0.84 | 9.73 | 1.40 | 1.36 | 1.63 | 5.25 | 0.00 |
time (sec) |
N/A | 0.226 | 0.012 | 0.069 | 0.217 | 0.299 | 0.362 | 0.580 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 67 | 66 | 54 | 92 | 102 | 87 | 109 | 118 | 0 |
N.S. |
1 | 0.99 | 0.81 | 1.37 | 1.52 | 1.30 | 1.63 | 1.76 | 0.00 |
time (sec) |
N/A | 0.230 | 0.011 | 0.064 | 0.203 | 0.295 | 0.331 | 0.322 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | A | B | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 67 | 66 | 54 | 707 | 101 | 87 | 110 | 149 | 0 |
N.S. |
1 | 0.99 | 0.81 | 10.55 | 1.51 | 1.30 | 1.64 | 2.22 | 0.00 |
time (sec) |
N/A | 0.228 | 0.010 | 0.068 | 0.201 | 0.288 | 0.479 | 0.332 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | A | B | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 73 | 74 | 61 | 716 | 102 | 94 | 121 | 213 | 0 |
N.S. |
1 | 1.01 | 0.84 | 9.81 | 1.40 | 1.29 | 1.66 | 2.92 | 0.00 |
time (sec) |
N/A | 0.230 | 0.011 | 0.072 | 0.205 | 0.300 | 2.126 | 0.327 | 0.000 |