2 detailed summary tables of results
2.1 Detailed conclusion table per each integral for all CAS systems
Detailed conclusion table per each integral is given by 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 just an F.
In this table,the column normalized size is defined as \(\frac{\text{antiderivative leaf size}}{\text{optimal antiderivative leaf size}}\)
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Problem 1 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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grade |
A |
A |
A |
B |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 14 | 14 | 14 | 32 | 42 | 34 | 20 | 45 | 8 |
normalized size | 1 | 1. | 1. | 2.29 | 3. | 2.43 | 1.43 | 3.21 | 0.57 |
time (sec) |
N/A |
0.02 |
0.005 |
0.009 |
1.348 |
0.227 |
0.159 |
0.216 |
2.832 |
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Problem 2 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 14 | 14 | 14 | 15 | 19 | 19 | 26 | 19 | 8 |
normalized size | 1 | 1. | 1. | 1.07 | 1.36 | 1.36 | 1.86 | 1.36 | 0.57 |
time (sec) |
N/A |
0.013 |
0.005 |
0.006 |
1.532 |
0.215 |
0.145 |
0.215 |
1.965 |
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Problem 3 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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grade |
A |
A |
B |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 13 | 13 | 37 | 18 | 23 | 35 | 29 | 54 | 10 |
normalized size | 1 | 1. | 2.85 | 1.38 | 1.77 | 2.69 | 2.23 | 4.15 | 0.77 |
time (sec) |
N/A |
0.01 |
0.013 |
0.006 |
1.378 |
0.246 |
0.109 |
0.219 |
0.58 |
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Problem 4 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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grade |
A |
A |
B |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 11 | 11 | 23 | 15 | 26 | 31 | 22 | 31 | 10 |
normalized size | 1 | 1. | 2.09 | 1.36 | 2.36 | 2.82 | 2. | 2.82 | 0.91 |
time (sec) |
N/A |
0.008 |
0.005 |
0.01 |
1.371 |
0.242 |
0.1 |
0.209 |
0.66 |
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Problem 5 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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grade |
A |
A |
B |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 15 | 15 | 55 | 21 | 36 | 39 | 22 | 39 | 12 |
normalized size | 1 | 1. | 3.67 | 1.4 | 2.4 | 2.6 | 1.47 | 2.6 | 0.8 |
time (sec) |
N/A |
0.009 |
0.013 |
0.01 |
1.343 |
0.224 |
0.251 |
0.203 |
0.704 |
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Problem 6 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 2 | 2 | 2 | 3 | 5 | 5 | 3 | 5 | 3 |
normalized size | 1 | 1. | 1. | 1.5 | 2.5 | 2.5 | 1.5 | 2.5 | 1.5 |
time (sec) |
N/A |
0.012 |
0.002 |
0. |
1.341 |
0.216 |
0.048 |
0.199 |
0.768 |
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Problem 7 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 4 | 4 | 4 | 5 | 8 | 8 | 5 | 8 | 0 |
normalized size | 1 | 1. | 1. | 1.25 | 2. | 2. | 1.25 | 2. | 0. |
time (sec) |
N/A |
0.013 |
0.003 |
0. |
1.381 |
0.211 |
0.053 |
0.198 |
0. |
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Problem 8 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 6 | 6 | 6 | 5 | 36 | 5 | 7 | 5 | 0 |
normalized size | 1 | 1. | 1. | 0.83 | 6. | 0.83 | 1.17 | 0.83 | 0. |
time (sec) |
N/A |
0.036 |
0.01 |
0.019 |
1.363 |
0.209 |
0.765 |
0.205 |
0. |
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Problem 9 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 9 | 9 | 6 | 5 | 12 | 12 | 3 | 41 | 7 |
normalized size | 1 | 1. | 0.67 | 0.56 | 1.33 | 1.33 | 0.33 | 4.56 | 0.78 |
time (sec) |
N/A |
0.018 |
0.006 |
0.002 |
1.346 |
0.218 |
0.21 |
0.206 |
0.487 |
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Problem 10 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 12 | 12 | 8 | 9 | 14 | 14 | 7 | 11 | 8 |
normalized size | 1 | 1. | 0.67 | 0.75 | 1.17 | 1.17 | 0.58 | 0.92 | 0.67 |
time (sec) |
N/A |
0.017 |
0.008 |
0. |
1.345 |
0.233 |
0.667 |
0.21 |
0.505 |
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Problem 11 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 12 | 12 | 12 | 13 | 18 | 16 | 15 | 19 | 8 |
normalized size | 1 | 1. | 1. | 1.08 | 1.5 | 1.33 | 1.25 | 1.58 | 0.67 |
time (sec) |
N/A |
0.039 |
0.007 |
0.013 |
1.34 |
0.276 |
0.701 |
0.2 |
2.284 |
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Problem 12 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 15 | 15 | 15 | 16 | 20 | 20 | 31 | 20 | 10 |
normalized size | 1 | 1. | 1. | 1.07 | 1.33 | 1.33 | 2.07 | 1.33 | 0.67 |
time (sec) |
N/A |
0.047 |
0.014 |
0.017 |
1.496 |
0.285 |
1.268 |
0.202 |
4.631 |
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Problem 13 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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grade |
A |
A |
A |
B |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 15 | 15 | 15 | 34 | 45 | 35 | 44 | 47 | 10 |
normalized size | 1 | 1. | 1. | 2.27 | 3. | 2.33 | 2.93 | 3.13 | 0.67 |
time (sec) |
N/A |
0.051 |
0.014 |
0.017 |
1.386 |
0.25 |
1.265 |
0.202 |
5.701 |
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Problem 14 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 17 | 17 | 23 | 18 | 23 | 28 | 32 | 104 | 15 |
normalized size | 1 | 1. | 1.35 | 1.06 | 1.35 | 1.65 | 1.88 | 6.12 | 0.88 |
time (sec) |
N/A |
0.063 |
0.022 |
0.031 |
1.352 |
0.26 |
3.992 |
0.238 |
3.764 |
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Problem 15 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 19 | 19 | 25 | 20 | 27 | 31 | 34 | 104 | 17 |
normalized size | 1 | 1. | 1.32 | 1.05 | 1.42 | 1.63 | 1.79 | 5.47 | 0.89 |
time (sec) |
N/A |
0.066 |
0.022 |
0.032 |
1.429 |
0.247 |
3.742 |
0.207 |
4.009 |
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Problem 16 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 18 | 22 | 23 | 19 | 24 | 24 | 34 | 130 | 17 |
normalized size | 1 | 1.22 | 1.28 | 1.06 | 1.33 | 1.33 | 1.89 | 7.22 | 0.94 |
time (sec) |
N/A |
0.068 |
0.024 |
0.024 |
1.349 |
0.245 |
4.027 |
0.214 |
3.847 |
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Problem 17 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 18 | 22 | 25 | 19 | 26 | 26 | 32 | 165 | 15 |
normalized size | 1 | 1.22 | 1.39 | 1.06 | 1.44 | 1.44 | 1.78 | 9.17 | 0.83 |
time (sec) |
N/A |
0.069 |
0.025 |
0.028 |
1.403 |
0.246 |
3.747 |
0.218 |
4.008 |
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Problem 18 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 41 | 19 | 14 | 18 | 42 | 61 | 62 | 19 |
normalized size | 1 | 1. | 0.46 | 0.34 | 0.44 | 1.02 | 1.49 | 1.51 | 0.46 |
time (sec) |
N/A |
0.038 |
0.017 |
0.023 |
1.509 |
0.247 |
1.346 |
0.205 |
0.631 |
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Problem 19 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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grade |
A |
A |
B |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 6 | 6 | 23 | 6 | 20 | 20 | 15 | 22 | 5 |
normalized size | 1 | 1. | 3.83 | 1. | 3.33 | 3.33 | 2.5 | 3.67 | 0.83 |
time (sec) |
N/A |
0.031 |
0.006 |
0. |
1.339 |
0.213 |
0.095 |
0.199 |
3.017 |
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Problem 20 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 3 | 3 | 3 | 4 | 4 | 4 | 3 | 5 | 3 |
normalized size | 1 | 1. | 1. | 1.33 | 1.33 | 1.33 | 1. | 1.67 | 1. |
time (sec) |
N/A |
0.02 |
0.001 |
0. |
1.355 |
0.207 |
0.079 |
0.204 |
1.15 |
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Problem 21 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 3 | 3 | 3 | 4 | 4 | 4 | 15 | 4 | 3 |
normalized size | 1 | 1. | 1. | 1.33 | 1.33 | 1.33 | 5. | 1.33 | 1. |
time (sec) |
N/A |
0.032 |
0.006 |
0.001 |
1.529 |
0.245 |
0.14 |
0.201 |
3.318 |
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Problem 22 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 9 | 9 | 7 | 10 | 9 | 9 | 7 | 30 | 7 |
normalized size | 1 | 1. | 0.78 | 1.11 | 1. | 1. | 0.78 | 3.33 | 0.78 |
time (sec) |
N/A |
0.032 |
0.003 |
0.003 |
1.359 |
0.219 |
0.088 |
0.204 |
2.325 |
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Problem 23 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 9 | 9 | 9 | 10 | 12 | 12 | 7 | 41 | 7 |
normalized size | 1 | 1. | 1. | 1.11 | 1.33 | 1.33 | 0.78 | 4.56 | 0.78 |
time (sec) |
N/A |
0.029 |
0.004 |
0.002 |
1.358 |
0.216 |
0.099 |
0.214 |
2.089 |
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Problem 24 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
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|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 25 | 25 | 25 | 22 | 30 | 32 | 22 | 31 | 0 |
normalized size | 1 | 1. | 1. | 0.88 | 1.2 | 1.28 | 0.88 | 1.24 | 0. |
time (sec) |
N/A |
0.043 |
0.019 |
0.01 |
1.383 |
0.205 |
1.017 |
0.202 |
0. |
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Problem 25 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
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|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 30 | 30 | 30 | 21 | 27 | 30 | 27 | 28 | 31 |
normalized size | 1 | 1. | 1. | 0.7 | 0.9 | 1. | 0.9 | 0.93 | 1.03 |
time (sec) |
N/A |
0.153 |
0.011 |
0.007 |
1.36 |
0.202 |
0.828 |
0.205 |
7.946 |
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Problem 26 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
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|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 10 | 10 | 10 | 11 | 14 | 14 | 8 | 15 | 8 |
normalized size | 1 | 1. | 1. | 1.1 | 1.4 | 1.4 | 0.8 | 1.5 | 0.8 |
time (sec) |
N/A |
0.015 |
0.003 |
0.003 |
1.337 |
0.212 |
0.059 |
0.203 |
1.657 |
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Problem 27 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 47 | 47 | 47 | 24 | 49 | 63 | 42 | 50 | 42 |
normalized size | 1 | 1. | 1. | 0.51 | 1.04 | 1.34 | 0.89 | 1.06 | 0.89 |
time (sec) |
N/A |
0.054 |
0.048 |
0.004 |
1.521 |
0.203 |
0.11 |
0.21 |
1.846 |
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Problem 28 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 30 | 30 | 30 | 24 | 31 | 36 | 27 | 28 | 27 |
normalized size | 1 | 1. | 1. | 0.8 | 1.03 | 1.2 | 0.9 | 0.93 | 0.9 |
time (sec) |
N/A |
0.024 |
0.021 |
0.004 |
1.509 |
0.197 |
0.106 |
0.201 |
1.801 |
|
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Problem 29 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 21 | 21 | 21 | 14 | 18 | 32 | 22 | 18 | 19 |
normalized size | 1 | 1. | 1. | 0.67 | 0.86 | 1.52 | 1.05 | 0.86 | 0.9 |
time (sec) |
N/A |
0.017 |
0.01 |
0.042 |
1.33 |
0.221 |
0.752 |
0.21 |
1.02 |
|
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Problem 30 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 15 | 15 | 15 | 12 | 15 | 32 | 26 | 15 | 10 |
normalized size | 1 | 1. | 1. | 0.8 | 1. | 2.13 | 1.73 | 1. | 0.67 |
time (sec) |
N/A |
0.016 |
0.011 |
0. |
1.333 |
0.219 |
0.722 |
0.203 |
1.06 |
|
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Problem 31 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 21 | 21 | 21 | 96 | 251 | 120 | 138 | 24 | 19 |
normalized size | 1 | 1. | 1. | 4.57 | 11.95 | 5.71 | 6.57 | 1.14 | 0.9 |
time (sec) |
N/A |
0.06 |
0.115 |
0.132 |
1.501 |
0.238 |
1.858 |
0.217 |
5.88 |
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Problem 32 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 14 | 14 | 14 | 11 | 14 | 14 | 10 | 14 | 10 |
normalized size | 1 | 1. | 1. | 0.79 | 1. | 1. | 0.71 | 1. | 0.71 |
time (sec) |
N/A |
0.011 |
0.003 |
0.002 |
1.381 |
0.217 |
0.038 |
0.203 |
0.502 |
|
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Problem 33 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 14 | 14 | 14 | 11 | 14 | 14 | 10 | 14 | 10 |
normalized size | 1 | 1. | 1. | 0.79 | 1. | 1. | 0.71 | 1. | 0.71 |
time (sec) |
N/A |
0.012 |
0.003 |
0. |
1.346 |
0.246 |
0.036 |
0.204 |
0.49 |
|
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Problem 34 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 8 | 8 | 8 | 7 | 8 | 8 | 7 | 8 | 7 |
normalized size | 1 | 1. | 1. | 0.88 | 1. | 1. | 0.88 | 1. | 0.88 |
time (sec) |
N/A |
0.028 |
0.002 |
0.004 |
1.355 |
0.213 |
0.038 |
0.201 |
1.122 |
|
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Problem 35 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 11 | 11 | 57 | 32 | 19 | 30 | 14 | 19 | 12 |
normalized size | 1 | 1. | 5.18 | 2.91 | 1.73 | 2.73 | 1.27 | 1.73 | 1.09 |
time (sec) |
N/A |
0.03 |
0.008 |
0.012 |
1.337 |
0.21 |
0.084 |
0.211 |
2.414 |
|
|
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|
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|
Problem 36 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 7 | 7 | 6 | 15 | 12 | 24 | 12 | 12 | 15 |
normalized size | 1 | 1. | 0.86 | 2.14 | 1.71 | 3.43 | 1.71 | 1.71 | 2.14 |
time (sec) |
N/A |
0.045 |
0.005 |
0. |
1.36 |
0.225 |
0.055 |
0.202 |
1.678 |
|
|
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|
Problem 37 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 14 | 14 | 14 | 14 | 16 | 31 | 19 | 24 | 12 |
normalized size | 1 | 1. | 1. | 1. | 1.14 | 2.21 | 1.36 | 1.71 | 0.86 |
time (sec) |
N/A |
0.012 |
0.01 |
0.004 |
1.505 |
0.849 |
0.051 |
0.216 |
0.516 |
|
|
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|
Problem 38 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 16 | 16 | 16 | 19 | 16 | 27 | 17 | 30 | 12 |
normalized size | 1 | 1. | 1. | 1.19 | 1. | 1.69 | 1.06 | 1.88 | 0.75 |
time (sec) |
N/A |
0.024 |
0.015 |
0.004 |
1.497 |
0.255 |
0.178 |
0.213 |
0.551 |
|
|
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|
Problem 39 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 10 | 10 | 10 | 11 | 16 | 26 | 10 | 16 | 14 |
normalized size | 1 | 1. | 1. | 1.1 | 1.6 | 2.6 | 1. | 1.6 | 1.4 |
time (sec) |
N/A |
0.073 |
0.024 |
0.02 |
1.489 |
0.244 |
0.574 |
0.211 |
68.462 |
|
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Problem 40 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 14 | 14 | 12 | 15 | 19 | 34 | 10 | 19 | 12 |
normalized size | 1 | 1. | 0.86 | 1.07 | 1.36 | 2.43 | 0.71 | 1.36 | 0.86 |
time (sec) |
N/A |
0.106 |
0.011 |
0.021 |
1.492 |
0.226 |
0.573 |
0.208 |
4.055 |
|
|
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Problem 41 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 11 | 11 | 25 | 13 | 38 | 32 | 34 | 16 | 8 |
normalized size | 1 | 1. | 2.27 | 1.18 | 3.45 | 2.91 | 3.09 | 1.45 | 0.73 |
time (sec) |
N/A |
0.036 |
0.023 |
0.019 |
1.504 |
0.231 |
0.999 |
0.212 |
1.521 |
|
|
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Problem 42 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 16 | 16 | 21 | 13 | 31 | 19 | 8 | 16 | 10 |
normalized size | 1 | 1. | 1.31 | 0.81 | 1.94 | 1.19 | 0.5 | 1. | 0.62 |
time (sec) |
N/A |
0.041 |
0.025 |
0.019 |
1.498 |
0.242 |
0.898 |
0.204 |
1.746 |
|
|
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|
Problem 43 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 25 | 25 | 25 | 29 | 24 | 30 | 19 | 24 | 0 |
normalized size | 1 | 1. | 1. | 1.16 | 0.96 | 1.2 | 0.76 | 0.96 | 0. |
time (sec) |
N/A |
0.046 |
0.015 |
0.008 |
1.339 |
0.224 |
0.102 |
0.208 |
0. |
|
|
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|
Problem 44 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 21 | 21 | 21 | 14 | 18 | 18 | 12 | 20 | 12 |
normalized size | 1 | 1. | 1. | 0.67 | 0.86 | 0.86 | 0.57 | 0.95 | 0.57 |
time (sec) |
N/A |
0.011 |
0.004 |
0.007 |
1.335 |
0.208 |
0.087 |
0.203 |
0.74 |
|
|
|
|
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Problem 45 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 14 | 14 | 14 | 11 | 14 | 14 | 10 | 14 | 10 |
normalized size | 1 | 1. | 1. | 0.79 | 1. | 1. | 0.71 | 1. | 0.71 |
time (sec) |
N/A |
0.034 |
0.008 |
0.004 |
1.478 |
0.207 |
0.118 |
0.209 |
2.501 |
|
|
|
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Problem 46 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 51 | 51 | 47 | 29 | 47 | 68 | 42 | 59 | 46 |
normalized size | 1 | 1. | 0.92 | 0.57 | 0.92 | 1.33 | 0.82 | 1.16 | 0.9 |
time (sec) |
N/A |
0.046 |
0.04 |
0.004 |
1.486 |
0.208 |
0.106 |
0.204 |
2.042 |
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Problem 47 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
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|
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|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 33 | 33 | 33 | 47 | 34 | 34 | 29 | 34 | 0 |
normalized size | 1 | 1. | 1. | 1.42 | 1.03 | 1.03 | 0.88 | 1.03 | 0. |
time (sec) |
N/A |
0.027 |
0.012 |
0.007 |
1.328 |
0.212 |
0.132 |
0.211 |
0. |
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Problem 48 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
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|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 29 | 29 | 29 | 19 | 0 | 1 | 27 | 24 | 27 |
normalized size | 1 | 1. | 1. | 0.66 | 0. | 0.03 | 0.93 | 0.83 | 0.93 |
time (sec) |
N/A |
0.034 |
0.01 |
0.009 |
0. |
0.225 |
0.864 |
0.206 |
2.134 |
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Problem 49 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
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|
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|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 27 | 27 | 20 | 17 | 30 | 134 | 37 | 26 | 19 |
normalized size | 1 | 1. | 0.74 | 0.63 | 1.11 | 4.96 | 1.37 | 0.96 | 0.7 |
time (sec) |
N/A |
0.027 |
0.008 |
0.006 |
1.519 |
0.213 |
0.892 |
0.208 |
1.804 |
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Problem 50 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
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|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 22 | 22 | 22 | 19 | 24 | 34 | 29 | 14 | 15 |
normalized size | 1 | 1. | 1. | 0.86 | 1.09 | 1.55 | 1.32 | 0.64 | 0.68 |
time (sec) |
N/A |
0.024 |
0.007 |
0.016 |
1.487 |
0.224 |
1.744 |
0.216 |
1.601 |
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Problem 51 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 22 | 22 | 35 | 41 | 0 | 35 | 22 | 27 | 14 |
normalized size | 1 | 1. | 1.59 | 1.86 | 0. | 1.59 | 1. | 1.23 | 0.64 |
time (sec) |
N/A |
0.037 |
0.017 |
0.007 |
0. |
0.212 |
1.762 |
0.215 |
2.842 |
|
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Problem 52 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 23 | 23 | 32 | 37 | 0 | 34 | 22 | 58 | 15 |
normalized size | 1 | 1. | 1.39 | 1.61 | 0. | 1.48 | 0.96 | 2.52 | 0.65 |
time (sec) |
N/A |
0.039 |
0.014 |
0.006 |
0. |
0.228 |
1.775 |
0.21 |
3.12 |
|
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Problem 53 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 21 | 21 | 30 | 35 | 0 | 54 | 7 | 50 | 15 |
normalized size | 1 | 1. | 1.43 | 1.67 | 0. | 2.57 | 0.33 | 2.38 | 0.71 |
time (sec) |
N/A |
0.033 |
0.011 |
0.007 |
0. |
0.243 |
1.736 |
0.217 |
2.794 |
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Problem 54 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 12 | 12 | 12 | 7 | 11 | 24 | 0 | 8 | 19 |
normalized size | 1 | 1. | 1. | 0.58 | 0.92 | 2. | 0. | 0.67 | 1.58 |
time (sec) |
N/A |
0.014 |
0.009 |
0.006 |
1.528 |
0.213 |
0. |
0.212 |
0.666 |
|
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Problem 55 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 19 | 19 | 18 | 15 | 22 | 55 | 0 | 45 | 32 |
normalized size | 1 | 1. | 0.95 | 0.79 | 1.16 | 2.89 | 0. | 2.37 | 1.68 |
time (sec) |
N/A |
0.028 |
0.013 |
0.004 |
1.541 |
0.226 |
0. |
0.216 |
0.732 |
|
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Problem 56 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 8 | 8 | 38 | 7 | 8 | 22 | 0 | 8 | 5 |
normalized size | 1 | 1. | 4.75 | 0.88 | 1. | 2.75 | 0. | 1. | 0.62 |
time (sec) |
N/A |
0.007 |
0.014 |
0.004 |
1.576 |
0.215 |
0. |
0.209 |
0.573 |
|
|
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Problem 57 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 27 | 27 | 27 | 22 | 28 | 45 | 0 | 28 | 32 |
normalized size | 1 | 1. | 1. | 0.81 | 1.04 | 1.67 | 0. | 1.04 | 1.19 |
time (sec) |
N/A |
0.028 |
0.019 |
0.008 |
1.526 |
0.227 |
0. |
0.22 |
2.214 |
|
|
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Problem 58 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 32 | 32 | 34 | 25 | 45 | 53 | 0 | 96 | 29 |
normalized size | 1 | 1. | 1.06 | 0.78 | 1.41 | 1.66 | 0. | 3. | 0.91 |
time (sec) |
N/A |
0.033 |
0.021 |
0.006 |
1.51 |
0.244 |
0. |
0.231 |
2.08 |
|
|
|
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Problem 59 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 21 | 23 | 19 | 16 | 23 | 23 | 0 | 38 | 17 |
normalized size | 1 | 1.1 | 0.9 | 0.76 | 1.1 | 1.1 | 0. | 1.81 | 0.81 |
time (sec) |
N/A |
0.028 |
0.012 |
0.004 |
1.567 |
0.213 |
0. |
0.218 |
2.019 |
|
|
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Problem 60 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 28 | 28 | 54 | 23 | 45 | 53 | 22 | 42 | 0 |
normalized size | 1 | 1. | 1.93 | 0.82 | 1.61 | 1.89 | 0.79 | 1.5 | 0. |
time (sec) |
N/A |
0.231 |
0.054 |
0.07 |
1.369 |
0.225 |
1.5 |
0.217 |
0. |
|
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Problem 61 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 37 | 48 | 17 | 14 | 18 | 42 | 0 | 62 | 17 |
normalized size | 1 | 1.3 | 0.46 | 0.38 | 0.49 | 1.14 | 0. | 1.68 | 0.46 |
time (sec) |
N/A |
0.05 |
0.021 |
0.02 |
1.51 |
0.232 |
0. |
0.22 |
0.644 |
|
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Problem 62 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 14 | 14 | 21 | 11 | 63 | 43 | 27 | 15 | 0 |
normalized size | 1 | 1. | 1.5 | 0.79 | 4.5 | 3.07 | 1.93 | 1.07 | 0. |
time (sec) |
N/A |
0.06 |
0.016 |
0.07 |
1.407 |
0.227 |
1.138 |
0.215 |
0. |
|
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Problem 63 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 11 | 11 | 23 | 4 | 20 | 61 | 15 | 23 | 3 |
normalized size | 1 | 1. | 2.09 | 0.36 | 1.82 | 5.55 | 1.36 | 2.09 | 0.27 |
time (sec) |
N/A |
0.059 |
0.01 |
0.009 |
1.42 |
0.264 |
0.211 |
0.217 |
5.209 |
|
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Problem 64 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
A |
F(-1) |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 18 | 19 | 127 | 15 | 19 | 19 | 0 | 0 | 14 |
normalized size | 1 | 1.06 | 7.06 | 0.83 | 1.06 | 1.06 | 0. | 0. | 0.78 |
time (sec) |
N/A |
0.076 |
0.264 |
0.021 |
1.395 |
0.258 |
0. |
0. |
3.185 |
|
|
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Problem 65 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 18 | 18 | 67 | 15 | 19 | 20 | 17 | 35 | 17 |
normalized size | 1 | 1. | 3.72 | 0.83 | 1.06 | 1.11 | 0.94 | 1.94 | 0.94 |
time (sec) |
N/A |
0.083 |
0.153 |
0.025 |
1.332 |
0.246 |
3.731 |
0.261 |
3.254 |
|
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Problem 66 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 17 | 17 | 17 | 16 | 20 | 20 | 0 | 20 | 14 |
normalized size | 1 | 1. | 1. | 0.94 | 1.18 | 1.18 | 0. | 1.18 | 0.82 |
time (sec) |
N/A |
0.027 |
0.012 |
0.01 |
1.502 |
0.251 |
0. |
0.222 |
1.783 |
|
|
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Problem 67 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 20 | 20 | 20 | 0 | 24 | 22 | 7 | 22 | 15 |
normalized size | 1 | 1. | 1. | 0. | 1.2 | 1.1 | 0.35 | 1.1 | 0.75 |
time (sec) |
N/A |
0.05 |
0.011 |
0.103 |
1.335 |
0.234 |
0.551 |
0.207 |
2.987 |
|
|
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Problem 68 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 12 | 12 | 12 | 13 | 0 | 16 | 15 | 16 | 8 |
normalized size | 1 | 1. | 1. | 1.08 | 0. | 1.33 | 1.25 | 1.33 | 0.67 |
time (sec) |
N/A |
0.041 |
0.005 |
0.001 |
0. |
0.235 |
9.22 |
0.202 |
3.108 |
|
|
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Problem 69 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 42 | 42 | 42 | 38 | 486 | 24 | 0 | 16 | 34 |
normalized size | 1 | 1. | 1. | 0.9 | 11.57 | 0.57 | 0. | 0.38 | 0.81 |
time (sec) |
N/A |
0.107 |
0.021 |
0.101 |
4.265 |
0.219 |
0. |
0.311 |
6.531 |
|
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|
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Problem 70 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 8 | 8 | 8 | 7 | 8 | 8 | 7 | 8 | 7 |
normalized size | 1 | 1. | 1. | 0.88 | 1. | 1. | 0.88 | 1. | 0.88 |
time (sec) |
N/A |
0.04 |
0.004 |
0.007 |
1.514 |
0.22 |
4.597 |
0.204 |
2.959 |
|
|
|
|
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Problem 71 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 28 | 28 | 28 | 23 | 23 | 30 | 22 | 30 | 0 |
normalized size | 1 | 1. | 1. | 0.82 | 0.82 | 1.07 | 0.79 | 1.07 | 0. |
time (sec) |
N/A |
0.021 |
0.002 |
0. |
1.329 |
0.216 |
0.094 |
0.213 |
0. |
|
|
|
|
|
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Problem 72 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 17 | 17 | 17 | 14 | 18 | 15 | 15 | 18 | 15 |
normalized size | 1 | 1. | 1. | 0.82 | 1.06 | 0.88 | 0.88 | 1.06 | 0.88 |
time (sec) |
N/A |
0.017 |
0.002 |
0.001 |
1.352 |
0.22 |
0.088 |
0.233 |
1.147 |
|
|
|
|
|
|
|
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Problem 73 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 38 | 38 | 53 | 38 | 38 | 26 | 39 | 0 |
normalized size | 1 | 1.06 | 1.06 | 1.47 | 1.06 | 1.06 | 0.72 | 1.08 | 0. |
time (sec) |
N/A |
0.058 |
0.005 |
0.021 |
1.331 |
0.218 |
0.133 |
0.242 |
0. |
|
|
|
|
|
|
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Problem 74 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 19 | 19 | 23 | 17 | 20 | 24 | 17 | 20 | 17 |
normalized size | 1 | 1. | 1.21 | 0.89 | 1.05 | 1.26 | 0.89 | 1.05 | 0.89 |
time (sec) |
N/A |
0.017 |
0.003 |
0. |
1.351 |
0.257 |
0.044 |
0.232 |
0.719 |
|
|
|
|
|
|
|
|
|
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|
|
Problem 75 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 34 | 34 | 30 | 26 | 24 | 34 | 31 | 30 | 31 |
normalized size | 1 | 1. | 0.88 | 0.76 | 0.71 | 1. | 0.91 | 0.88 | 0.91 |
time (sec) |
N/A |
0.062 |
0.014 |
0.002 |
1.529 |
0.228 |
0.042 |
0.231 |
1.751 |
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
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|
|
|
|
Problem 76 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 26 | 26 | 71 | 26 | 57 | 93 | 46 | 51 | 31 |
normalized size | 1 | 1. | 2.73 | 1. | 2.19 | 3.58 | 1.77 | 1.96 | 1.19 |
time (sec) |
N/A |
0.023 |
0.009 |
0.056 |
1.349 |
0.227 |
0.172 |
0.216 |
0.598 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 77 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 23 | 23 | 14 | 18 | 15 | 23 | 17 | 15 | 17 |
normalized size | 1 | 1. | 0.61 | 0.78 | 0.65 | 1. | 0.74 | 0.65 | 0.74 |
time (sec) |
N/A |
0.018 |
0.011 |
0.009 |
1.412 |
0.224 |
0.8 |
0.202 |
1.444 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 78 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 27 | 27 | 22 | 22 | 26 | 28 | 26 | 26 | 26 |
normalized size | 1 | 1. | 0.81 | 0.81 | 0.96 | 1.04 | 0.96 | 0.96 | 0.96 |
time (sec) |
N/A |
0.02 |
0.029 |
0.003 |
1.429 |
0.247 |
0.372 |
0.202 |
1.491 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 79 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 20 | 71 | 32 | 27 | 107 | 455 | 29 |
normalized size | 1 | 1. | 0.65 | 2.29 | 1.03 | 0.87 | 3.45 | 14.68 | 0.94 |
time (sec) |
N/A |
0.022 |
0.018 |
0.03 |
1.46 |
0.217 |
1.898 |
0.23 |
1.565 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 80 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 17 | 17 | 17 | 14 | 14 | 18 | 15 | 18 | 15 |
normalized size | 1 | 1. | 1. | 0.82 | 0.82 | 1.06 | 0.88 | 1.06 | 0.88 |
time (sec) |
N/A |
0.008 |
0.003 |
0. |
1.455 |
0.233 |
0.549 |
0.211 |
0.491 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
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|
|
Problem 81 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 12 | 12 | 12 | 61 | 127 | 30 | 0 | 16 | 15 |
normalized size | 1 | 1. | 1. | 5.08 | 10.58 | 2.5 | 0. | 1.33 | 1.25 |
time (sec) |
N/A |
0.033 |
0.011 |
0.062 |
1.516 |
0.224 |
0. |
0.212 |
1.679 |
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
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|
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|
|
Problem 82 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 15 | 15 | 15 | 20 | 144 | 28 | 19 | 31 | 0 |
normalized size | 1 | 1. | 1. | 1.33 | 9.6 | 1.87 | 1.27 | 2.07 | 0. |
time (sec) |
N/A |
0.025 |
0.008 |
0. |
1.551 |
0.222 |
0.194 |
0.215 |
0. |
|
|
|
|
|
|
|
|
|
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|
|
Problem 83 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 22 | 22 | 26 | 21 | 45 | 53 | 22 | 51 | 15 |
normalized size | 1 | 1. | 1.18 | 0.95 | 2.05 | 2.41 | 1. | 2.32 | 0.68 |
time (sec) |
N/A |
0.04 |
0.008 |
0.003 |
1.53 |
0.275 |
2.365 |
0.212 |
2.841 |
|
|
|
|
|
|
|
|
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|
|
Problem 84 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 25 | 25 | 25 | 24 | 31 | 31 | 22 | 31 | 22 |
normalized size | 1 | 1. | 1. | 0.96 | 1.24 | 1.24 | 0.88 | 1.24 | 0.88 |
time (sec) |
N/A |
0.072 |
0.01 |
0. |
1.564 |
0.229 |
0.235 |
0.211 |
2.951 |
|
|
|
|
|
|
|
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|
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|
|
Problem 85 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 23 | 23 | 23 | 20 | 32 | 26 | 19 | 28 | 19 |
normalized size | 1 | 1. | 1. | 0.87 | 1.39 | 1.13 | 0.83 | 1.22 | 0.83 |
time (sec) |
N/A |
0.092 |
0.006 |
0.003 |
1.546 |
0.226 |
0.589 |
0.219 |
5.438 |
|
|
|
|
|
|
|
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|
|
Problem 86 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
F(-2) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 38 | 57 | 49 | 44 | 105 | 43 | 0 | 0 | 53 |
normalized size | 1 | 1.5 | 1.29 | 1.16 | 2.76 | 1.13 | 0. | 0. | 1.39 |
time (sec) |
N/A |
0.064 |
0.089 |
0.019 |
1.538 |
0.24 |
0. |
0. |
3.931 |
|
|
|
|
|
|
|
|
|
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|
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|
|
Problem 87 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 25 | 25 | 25 | 22 | 28 | 1 | 22 | 28 | 0 |
normalized size | 1 | 1. | 1. | 0.88 | 1.12 | 0.04 | 0.88 | 1.12 | 0. |
time (sec) |
N/A |
0.024 |
0.002 |
0.002 |
1.337 |
0.171 |
0.035 |
0.221 |
0. |
|
|
|
|
|
|
|
|
|
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|
|
Problem 88 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 39 | 39 | 39 | 30 | 39 | 1 | 34 | 39 | 0 |
normalized size | 1 | 1. | 1. | 0.77 | 1. | 0.03 | 0.87 | 1. | 0. |
time (sec) |
N/A |
0.036 |
0.002 |
0.002 |
1.353 |
0.178 |
0.046 |
0.203 |
0. |
|
|
|
|
|
|
|
|
|
|
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|
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|
|
Problem 89 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 23 | 23 | 22 | 29 | 0 | 36 | 0 | 31 | 15 |
normalized size | 1 | 1. | 0.96 | 1.26 | 0. | 1.57 | 0. | 1.35 | 0.65 |
time (sec) |
N/A |
0.025 |
0.036 |
0.073 |
0. |
0.221 |
0. |
0.199 |
1.483 |
|
|
|
|
|
|
|
|
|
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|
|
|
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|
|
Problem 90 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 30 | 30 | 27 | 23 | 30 | 30 | 20 | 31 | 0 |
normalized size | 1 | 1. | 0.9 | 0.77 | 1. | 1. | 0.67 | 1.03 | 0. |
time (sec) |
N/A |
0.031 |
0.009 |
0.003 |
1.372 |
0.196 |
0.057 |
0.2 |
0. |
|
|
|
|
|
|
|
|
|
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|
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|
|
|
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|
|
Problem 91 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 41 | 35 | 27 | 35 | 53 | 34 | 35 | 0 |
normalized size | 1 | 1. | 0.85 | 0.66 | 0.85 | 1.29 | 0.83 | 0.85 | 0. |
time (sec) |
N/A |
0.03 |
0.021 |
0.004 |
1.495 |
0.28 |
0.091 |
0.2 |
0. |
|
|
|
|
|
|
|
|
|
|
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|
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Problem 92 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
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|
|
|
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|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 21 | 21 | 21 | 16 | 20 | 20 | 14 | 23 | 14 |
normalized size | 1 | 1. | 1. | 0.76 | 0.95 | 0.95 | 0.67 | 1.1 | 0.67 |
time (sec) |
N/A |
0.014 |
0.005 |
0.007 |
1.314 |
0.201 |
0.091 |
0.2 |
0.819 |
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Problem 93 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
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|
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|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 33 | 33 | 32 | 29 | 38 | 45 | 36 | 38 | 32 |
normalized size | 1 | 1. | 0.97 | 0.88 | 1.15 | 1.36 | 1.09 | 1.15 | 0.97 |
time (sec) |
N/A |
0.041 |
0.015 |
0.005 |
1.525 |
0.199 |
0.11 |
0.199 |
2.698 |
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Problem 94 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
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|
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|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 25 | 25 | 25 | 22 | 28 | 28 | 22 | 28 | 22 |
normalized size | 1 | 1. | 1. | 0.88 | 1.12 | 1.12 | 0.88 | 1.12 | 0.88 |
time (sec) |
N/A |
0.044 |
0.006 |
0.004 |
1.501 |
0.199 |
0.118 |
0.2 |
3.762 |
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Problem 95 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 47 | 47 | 47 | 39 | 51 | 68 | 46 | 51 | 0 |
normalized size | 1 | 1. | 1. | 0.83 | 1.09 | 1.45 | 0.98 | 1.09 | 0. |
time (sec) |
N/A |
0.092 |
0.027 |
0.007 |
1.492 |
0.201 |
0.114 |
0.201 |
0. |
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Problem 96 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 25 | 25 | 25 | 18 | 23 | 23 | 17 | 27 | 17 |
normalized size | 1 | 1. | 1. | 0.72 | 0.92 | 0.92 | 0.68 | 1.08 | 0.68 |
time (sec) |
N/A |
0.047 |
0.008 |
0.01 |
1.342 |
0.201 |
0.141 |
0.2 |
4.902 |
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Problem 97 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 33 | 33 | 29 | 26 | 34 | 34 | 26 | 38 | 0 |
normalized size | 1 | 1. | 0.88 | 0.79 | 1.03 | 1.03 | 0.79 | 1.15 | 0. |
time (sec) |
N/A |
0.089 |
0.023 |
0.025 |
1.368 |
0.202 |
0.713 |
0.2 |
0. |
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Problem 98 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 37 | 61 | 37 | 26 | 34 | 34 | 29 | 39 | 42 |
normalized size | 1 | 1.65 | 1. | 0.7 | 0.92 | 0.92 | 0.78 | 1.05 | 1.14 |
time (sec) |
N/A |
0.069 |
0.01 |
0.013 |
1.367 |
0.205 |
0.252 |
0.2 |
9.142 |
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Problem 99 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 69 | 26 | 62 | 82 | 60 | 80 | 34 |
normalized size | 1 | 1. | 2.23 | 0.84 | 2. | 2.65 | 1.94 | 2.58 | 1.1 |
time (sec) |
N/A |
0.028 |
0.028 |
0.011 |
1.535 |
0.206 |
0.965 |
0.201 |
3.461 |
|
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Problem 100 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 41 | 41 | 26 | 34 | 34 | 26 | 39 | 26 |
normalized size | 1 | 1. | 1. | 0.63 | 0.83 | 0.83 | 0.63 | 0.95 | 0.63 |
time (sec) |
N/A |
0.067 |
0.012 |
0.013 |
1.373 |
0.208 |
0.229 |
0.201 |
3.774 |
|
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Problem 101 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 25 | 25 | 16 | 20 | 30 | 39 | 17 | 24 | 15 |
normalized size | 1 | 1. | 0.64 | 0.8 | 1.2 | 1.56 | 0.68 | 0.96 | 0.6 |
time (sec) |
N/A |
0.026 |
0.015 |
0.009 |
1.35 |
0.201 |
0.096 |
0.201 |
1.882 |
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Problem 102 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 36 | 36 | 33 | 43 | 53 | 31 | 61 | 0 |
normalized size | 1 | 1. | 1. | 0.92 | 1.19 | 1.47 | 0.86 | 1.69 | 0. |
time (sec) |
N/A |
0.036 |
0.023 |
0.009 |
1.344 |
0.196 |
0.078 |
0.199 |
0. |
|
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Problem 103 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 41 | 37 | 28 | 41 | 61 | 31 | 36 | 0 |
normalized size | 1 | 1. | 0.9 | 0.68 | 1. | 1.49 | 0.76 | 0.88 | 0. |
time (sec) |
N/A |
0.066 |
0.032 |
0.011 |
1.339 |
0.198 |
0.151 |
0.2 |
0. |
|
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Problem 104 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 27 | 27 | 27 | 28 | 39 | 61 | 26 | 50 | 0 |
normalized size | 1 | 1. | 1. | 1.04 | 1.44 | 2.26 | 0.96 | 1.85 | 0. |
time (sec) |
N/A |
0.046 |
0.025 |
0.015 |
1.333 |
0.195 |
0.16 |
0.203 |
0. |
|
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Problem 105 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 39 | 39 | 47 | 32 | 39 | 61 | 31 | 47 | 31 |
normalized size | 1 | 1. | 1.21 | 0.82 | 1. | 1.56 | 0.79 | 1.21 | 0.79 |
time (sec) |
N/A |
0.067 |
0.028 |
0.016 |
1.37 |
0.202 |
0.172 |
0.199 |
6.451 |
|
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Problem 106 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 40 | 35 | 54 | 88 | 37 | 54 | 0 |
normalized size | 1 | 1. | 0.87 | 0.76 | 1.17 | 1.91 | 0.8 | 1.17 | 0. |
time (sec) |
N/A |
0.042 |
0.025 |
0.015 |
1.386 |
0.199 |
0.211 |
0.199 |
0. |
|
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Problem 107 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 29 | 29 | 29 | 24 | 31 | 31 | 22 | 32 | 0 |
normalized size | 1 | 1. | 1. | 0.83 | 1.07 | 1.07 | 0.76 | 1.1 | 0. |
time (sec) |
N/A |
0.053 |
0.011 |
0.009 |
1.53 |
0.21 |
0.123 |
0.2 |
0. |
|
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Problem 108 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 27 | 27 | 27 | 22 | 28 | 28 | 22 | 31 | 22 |
normalized size | 1 | 1. | 1. | 0.81 | 1.04 | 1.04 | 0.81 | 1.15 | 0.81 |
time (sec) |
N/A |
0.062 |
0.01 |
0.01 |
1.536 |
0.214 |
0.243 |
0.199 |
3.274 |
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Problem 109 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 24 | 24 | 32 | 26 | 34 | 34 | 29 | 36 | 20 |
normalized size | 1 | 1. | 1.33 | 1.08 | 1.42 | 1.42 | 1.21 | 1.5 | 0.83 |
time (sec) |
N/A |
0.025 |
0.016 |
0.01 |
1.515 |
0.218 |
0.198 |
0.203 |
2.966 |
|
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Problem 110 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 41 | 41 | 33 | 43 | 59 | 39 | 45 | 0 |
normalized size | 1 | 1. | 1. | 0.8 | 1.05 | 1.44 | 0.95 | 1.1 | 0. |
time (sec) |
N/A |
0.13 |
0.034 |
0.012 |
1.527 |
0.216 |
0.185 |
0.202 |
0. |
|
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Problem 111 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 40 | 37 | 49 | 77 | 37 | 84 | 37 |
normalized size | 1 | 1. | 0.87 | 0.8 | 1.07 | 1.67 | 0.8 | 1.83 | 0.8 |
time (sec) |
N/A |
0.354 |
0.031 |
0.012 |
1.528 |
0.215 |
0.3 |
0.201 |
28.029 |
|
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Problem 112 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 47 | 47 | 37 | 34 | 49 | 80 | 36 | 43 | 36 |
normalized size | 1 | 1. | 0.79 | 0.72 | 1.04 | 1.7 | 0.77 | 0.91 | 0.77 |
time (sec) |
N/A |
0.073 |
0.041 |
0.01 |
1.519 |
0.211 |
0.199 |
0.202 |
4.879 |
|
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Problem 113 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 67 | 67 | 73 | 54 | 72 | 77 | 70 | 72 | 63 |
normalized size | 1 | 1. | 1.09 | 0.81 | 1.07 | 1.15 | 1.04 | 1.07 | 0.94 |
time (sec) |
N/A |
0.077 |
0.095 |
0.003 |
1.495 |
0.233 |
0.254 |
0.201 |
5.088 |
|
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Problem 114 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 48 | 48 | 67 | 46 | 73 | 89 | 306 | 86 | 48 |
normalized size | 1 | 1. | 1.4 | 0.96 | 1.52 | 1.85 | 6.38 | 1.79 | 1. |
time (sec) |
N/A |
0.085 |
0.03 |
0.013 |
1.511 |
0.24 |
2.537 |
0.201 |
5.947 |
|
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Problem 115 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 58 | 58 | 46 | 41 | 58 | 89 | 46 | 53 | 46 |
normalized size | 1 | 1. | 0.79 | 0.71 | 1. | 1.53 | 0.79 | 0.91 | 0.79 |
time (sec) |
N/A |
0.097 |
0.04 |
0.013 |
1.491 |
0.217 |
0.227 |
0.203 |
20.543 |
|
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Problem 116 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 51 | 51 | 47 | 36 | 47 | 73 | 44 | 47 | 44 |
normalized size | 1 | 1. | 0.92 | 0.71 | 0.92 | 1.43 | 0.86 | 0.92 | 0.86 |
time (sec) |
N/A |
0.473 |
0.038 |
0.016 |
1.52 |
0.239 |
0.775 |
0.217 |
43.754 |
|
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Problem 117 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 41 | 41 | 34 | 45 | 45 | 32 | 45 | 32 |
normalized size | 1 | 1. | 1. | 0.83 | 1.1 | 1.1 | 0.78 | 1.1 | 0.78 |
time (sec) |
N/A |
0.529 |
0.013 |
0.016 |
1.438 |
0.234 |
0.258 |
0.218 |
50.561 |
|
|
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Problem 118 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 56 | 56 | 52 | 52 | 66 | 68 | 73 | 68 | 53 |
normalized size | 1 | 1. | 0.93 | 0.93 | 1.18 | 1.21 | 1.3 | 1.21 | 0.95 |
time (sec) |
N/A |
0.066 |
0.017 |
0.012 |
1.507 |
0.208 |
0.139 |
0.218 |
5.61 |
|
|
|
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Problem 119 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 56 | 56 | 50 | 52 | 66 | 68 | 71 | 68 | 48 |
normalized size | 1 | 1. | 0.89 | 0.93 | 1.18 | 1.21 | 1.27 | 1.21 | 0.86 |
time (sec) |
N/A |
0.063 |
0.009 |
0.009 |
1.497 |
0.209 |
0.129 |
0.209 |
5.407 |
|
|
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Problem 120 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 12 | 12 | 12 | 11 | 14 | 14 | 8 | 15 | 8 |
normalized size | 1 | 1. | 1. | 0.92 | 1.17 | 1.17 | 0.67 | 1.25 | 0.67 |
time (sec) |
N/A |
0.006 |
0.003 |
0.002 |
1.326 |
0.228 |
0.096 |
0.202 |
0.898 |
|
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Problem 121 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 22 | 22 | 22 | 34 | 31 | 24 | 19 | 30 | 22 |
normalized size | 1 | 1. | 1. | 1.55 | 1.41 | 1.09 | 0.86 | 1.36 | 1. |
time (sec) |
N/A |
0.024 |
0.006 |
0.01 |
1.372 |
0.208 |
0.254 |
0.208 |
2.394 |
|
|
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Problem 122 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 63 | 63 | 60 | 60 | 77 | 84 | 83 | 78 | 60 |
normalized size | 1 | 1. | 0.95 | 0.95 | 1.22 | 1.33 | 1.32 | 1.24 | 0.95 |
time (sec) |
N/A |
0.08 |
0.022 |
0.01 |
1.505 |
0.208 |
0.604 |
0.207 |
6.937 |
|
|
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Problem 123 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 65 | 65 | 68 | 60 | 77 | 95 | 80 | 78 | 63 |
normalized size | 1 | 1. | 1.05 | 0.92 | 1.18 | 1.46 | 1.23 | 1.2 | 0.97 |
time (sec) |
N/A |
0.077 |
0.024 |
0.01 |
1.541 |
0.209 |
0.653 |
0.204 |
7.286 |
|
|
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Problem 124 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 33 | 33 | 33 | 43 | 42 | 45 | 29 | 54 | 32 |
normalized size | 1 | 1. | 1. | 1.3 | 1.27 | 1.36 | 0.88 | 1.64 | 0.97 |
time (sec) |
N/A |
0.042 |
0.008 |
0.013 |
1.343 |
0.206 |
0.778 |
0.201 |
3.124 |
|
|
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Problem 125 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 73 | 73 | 74 | 67 | 89 | 105 | 90 | 90 | 70 |
normalized size | 1 | 1. | 1.01 | 0.92 | 1.22 | 1.44 | 1.23 | 1.23 | 0.96 |
time (sec) |
N/A |
0.095 |
0.02 |
0.013 |
1.52 |
0.212 |
0.754 |
0.202 |
8.533 |
|
|
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Problem 126 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 47 | 0 | 0 | 0 | 92 | 0 | 31 |
normalized size | 1 | 1. | 1.02 | 0. | 0. | 0. | 2. | 0. | 0.67 |
time (sec) |
N/A |
0.03 |
0.026 |
0.079 |
0. |
0. |
7.508 |
0. |
2.073 |
|
|
|
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|
Problem 127 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 27 | 27 | 38 | 33 | 43 | 35 | 37 | 46 | 19 |
normalized size | 1 | 1. | 1.41 | 1.22 | 1.59 | 1.3 | 1.37 | 1.7 | 0.7 |
time (sec) |
N/A |
0.02 |
0.007 |
0.011 |
1.504 |
0.203 |
0.162 |
0.203 |
1.806 |
|
|
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Problem 128 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 15 | 15 | 15 | 30 | 39 | 35 | 24 | 41 | 12 |
normalized size | 1 | 1. | 1. | 2. | 2.6 | 2.33 | 1.6 | 2.73 | 0.8 |
time (sec) |
N/A |
0.018 |
0.005 |
0.008 |
1.328 |
0.199 |
0.179 |
0.204 |
1.789 |
|
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Problem 129 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 24 | 24 | 24 | 41 | 34 | 27 | 19 | 35 | 22 |
normalized size | 1 | 1. | 1. | 1.71 | 1.42 | 1.12 | 0.79 | 1.46 | 0.92 |
time (sec) |
N/A |
0.027 |
0.009 |
0.01 |
1.351 |
0.198 |
0.311 |
0.202 |
2.596 |
|
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Problem 130 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 35 | 35 | 46 | 41 | 54 | 49 | 44 | 57 | 26 |
normalized size | 1 | 1. | 1.31 | 1.17 | 1.54 | 1.4 | 1.26 | 1.63 | 0.74 |
time (sec) |
N/A |
0.039 |
0.011 |
0.012 |
1.523 |
0.214 |
0.642 |
0.201 |
4.104 |
|
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Problem 131 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 26 | 26 | 50 | 43 | 50 | 55 | 34 | 51 | 22 |
normalized size | 1 | 1. | 1.92 | 1.65 | 1.92 | 2.12 | 1.31 | 1.96 | 0.85 |
time (sec) |
N/A |
0.033 |
0.011 |
0.012 |
1.348 |
0.211 |
0.694 |
0.205 |
3.711 |
|
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Problem 132 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 37 | 37 | 48 | 41 | 54 | 61 | 48 | 57 | 29 |
normalized size | 1 | 1. | 1.3 | 1.11 | 1.46 | 1.65 | 1.3 | 1.54 | 0.78 |
time (sec) |
N/A |
0.032 |
0.01 |
0.013 |
1.513 |
0.296 |
0.739 |
0.202 |
3.587 |
|
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Problem 133 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 45 | 45 | 46 | 0 | 0 | 0 | 95 | 0 | 29 |
normalized size | 1 | 1. | 1.02 | 0. | 0. | 0. | 2.11 | 0. | 0.64 |
time (sec) |
N/A |
0.027 |
0.027 |
0.073 |
0. |
0. |
1.516 |
0. |
2.282 |
|
|
|
|
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|
Problem 134 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 15 | 15 | 15 | 14 | 18 | 18 | 29 | 18 | 12 |
normalized size | 1 | 1. | 1. | 0.93 | 1.2 | 1.2 | 1.93 | 1.2 | 0.8 |
time (sec) |
N/A |
0.017 |
0.005 |
0.006 |
1.483 |
0.195 |
0.154 |
0.201 |
1.59 |
|
|
|
|
|
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|
Problem 135 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 109 | 109 | 79 | 101 | 0 | 297 | 19 | 154 | 90 |
normalized size | 1 | 1. | 0.72 | 0.93 | 0. | 2.72 | 0.17 | 1.41 | 0.83 |
time (sec) |
N/A |
0.127 |
0.046 |
0.012 |
0. |
0.211 |
0.151 |
0.205 |
11.519 |
|
|
|
|
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|
Problem 136 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
F(-2) |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 201 | 201 | 204 | 101 | 385 | 0 | 39 | 239 | 262 |
normalized size | 1 | 1. | 1.01 | 0.5 | 1.92 | 0. | 0.19 | 1.19 | 1.3 |
time (sec) |
N/A |
0.651 |
0.3 |
0.046 |
1.479 |
0. |
0.158 |
0.216 |
144.858 |
|
|
|
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|
Problem 137 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
F(-2) |
A |
A |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 201 | 201 | 204 | 97 | 358 | 0 | 41 | 239 | 0 |
normalized size | 1 | 1. | 1.01 | 0.48 | 1.78 | 0. | 0.2 | 1.19 | 0. |
time (sec) |
N/A |
0.573 |
0.133 |
0.011 |
1.544 |
0. |
0.156 |
0.222 |
0. |
|
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Problem 138 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
F(-2) |
A |
A |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 201 | 201 | 204 | 101 | 356 | 0 | 41 | 239 | 0 |
normalized size | 1 | 1. | 1.01 | 0.5 | 1.77 | 0. | 0.2 | 1.19 | 0. |
time (sec) |
N/A |
0.694 |
0.251 |
0.01 |
1.529 |
0. |
0.175 |
0.228 |
0. |
|
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Problem 139 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
F(-2) |
A |
A |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 201 | 201 | 204 | 97 | 385 | 0 | 39 | 239 | 0 |
normalized size | 1 | 1. | 1.01 | 0.48 | 1.92 | 0. | 0.19 | 1.19 | 0. |
time (sec) |
N/A |
0.679 |
0.19 |
0.011 |
1.515 |
0. |
0.168 |
0.219 |
0. |
|
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Problem 140 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 12 | 12 | 12 | 11 | 14 | 14 | 8 | 15 | 8 |
normalized size | 1 | 1. | 1. | 0.92 | 1.17 | 1.17 | 0.67 | 1.25 | 0.67 |
time (sec) |
N/A |
0.006 |
0.004 |
0.001 |
1.343 |
0.207 |
0.117 |
0.204 |
0.901 |
|
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Problem 141 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 22 | 22 | 22 | 49 | 31 | 24 | 19 | 30 | 22 |
normalized size | 1 | 1. | 1. | 2.23 | 1.41 | 1.09 | 0.86 | 1.36 | 1. |
time (sec) |
N/A |
0.024 |
0.006 |
0.01 |
1.338 |
0.207 |
0.323 |
0.208 |
2.396 |
|
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Problem 142 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
F(-2) |
A |
A |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 209 | 209 | 172 | 109 | 398 | 0 | 48 | 250 | 0 |
normalized size | 1 | 1. | 0.82 | 0.52 | 1.9 | 0. | 0.23 | 1.2 | 0. |
time (sec) |
N/A |
0.685 |
0.395 |
0.014 |
1.564 |
0. |
0.657 |
0.212 |
0. |
|
|
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Problem 143 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
F(-2) |
A |
A |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 211 | 211 | 174 | 105 | 374 | 0 | 51 | 250 | 0 |
normalized size | 1 | 1. | 0.82 | 0.5 | 1.77 | 0. | 0.24 | 1.18 | 0. |
time (sec) |
N/A |
0.706 |
0.357 |
0.013 |
1.535 |
0. |
0.728 |
0.216 |
0. |
|
|
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Problem 144 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
F(-2) |
A |
A |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 211 | 211 | 175 | 109 | 374 | 0 | 51 | 250 | 0 |
normalized size | 1 | 1. | 0.83 | 0.52 | 1.77 | 0. | 0.24 | 1.18 | 0. |
time (sec) |
N/A |
0.633 |
0.352 |
0.012 |
1.511 |
0. |
0.803 |
0.22 |
0. |
|
|
|
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Problem 145 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 47 | 0 | 0 | 0 | 92 | 0 | 31 |
normalized size | 1 | 1. | 1.02 | 0. | 0. | 0. | 2. | 0. | 0.67 |
time (sec) |
N/A |
0.028 |
0.026 |
0.069 |
0. |
0. |
68.049 |
0. |
2.136 |
|
|
|
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Problem 146 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 35 | 35 | 21 | 28 | 36 | 12 | 8 | 36 | 29 |
normalized size | 1 | 1. | 0.6 | 0.8 | 1.03 | 0.34 | 0.23 | 1.03 | 0.83 |
time (sec) |
N/A |
0.836 |
0.01 |
0.07 |
1.506 |
0.202 |
0.131 |
0.201 |
77.234 |
|
|
|
|
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Problem 147 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 60 | 60 | 51 | 52 | 73 | 103 | 63 | 59 | 54 |
normalized size | 1 | 1. | 0.85 | 0.87 | 1.22 | 1.72 | 1.05 | 0.98 | 0.9 |
time (sec) |
N/A |
0.046 |
0.046 |
0.004 |
1.524 |
0.202 |
0.196 |
0.199 |
1.14 |
|
|
|
|
|
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Problem 148 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 43 | 43 | 30 | 28 | 51 | 70 | 36 | 38 | 36 |
normalized size | 1 | 1. | 0.7 | 0.65 | 1.19 | 1.63 | 0.84 | 0.88 | 0.84 |
time (sec) |
N/A |
0.035 |
0.019 |
0.01 |
1.531 |
0.21 |
0.18 |
0.2 |
4.179 |
|
|
|
|
|
|
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Problem 149 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 90 | 90 | 88 | 146 | 0 | 1 | 323 | 124 | 76 |
normalized size | 1 | 1. | 0.98 | 1.62 | 0. | 0.01 | 3.59 | 1.38 | 0.84 |
time (sec) |
N/A |
0.149 |
0.134 |
0.012 |
0. |
0.248 |
2.034 |
0.215 |
6.724 |
|
|
|
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|
Problem 150 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 38 | 38 | 38 | 35 | 45 | 68 | 31 | 45 | 32 |
normalized size | 1 | 1. | 1. | 0.92 | 1.18 | 1.79 | 0.82 | 1.18 | 0.84 |
time (sec) |
N/A |
0.047 |
0.022 |
0.009 |
1.52 |
0.205 |
0.16 |
0.206 |
8.473 |
|
|
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Problem 151 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 57 | 57 | 49 | 53 | 57 | 90 | 53 | 58 | 49 |
normalized size | 1 | 1. | 0.86 | 0.93 | 1. | 1.58 | 0.93 | 1.02 | 0.86 |
time (sec) |
N/A |
0.053 |
0.035 |
0.013 |
1.549 |
0.205 |
0.213 |
0.208 |
2.832 |
|
|
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Problem 152 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 36 | 33 | 29 | 42 | 54 | 32 | 38 | 32 |
normalized size | 1 | 1. | 0.92 | 0.81 | 1.17 | 1.5 | 0.89 | 1.06 | 0.89 |
time (sec) |
N/A |
0.08 |
0.024 |
0.019 |
1.544 |
0.197 |
0.178 |
0.201 |
7.106 |
|
|
|
|
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Problem 153 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 49 | 49 | 78 | 41 | 54 | 63 | 46 | 54 | 42 |
normalized size | 1 | 1. | 1.59 | 0.84 | 1.1 | 1.29 | 0.94 | 1.1 | 0.86 |
time (sec) |
N/A |
0.073 |
0.024 |
0.01 |
1.559 |
0.256 |
0.192 |
0.201 |
4.314 |
|
|
|
|
|
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Problem 154 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 13 | 20 | 13 | 17 | 19 | 18 | 14 | 0 | 20 |
normalized size | 1 | 1.54 | 1. | 1.31 | 1.46 | 1.38 | 1.08 | 0. | 1.54 |
time (sec) |
N/A |
0.11 |
0.013 |
0.029 |
1.378 |
0.26 |
4.718 |
0. |
7.905 |
|
|
|
|
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Problem 155 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 41 | 38 | 35 | 46 | 51 | 42 | 46 | 37 |
normalized size | 1 | 1. | 0.93 | 0.85 | 1.12 | 1.24 | 1.02 | 1.12 | 0.9 |
time (sec) |
N/A |
0.079 |
0.017 |
0.008 |
1.564 |
0.232 |
0.123 |
0.201 |
4.958 |
|
|
|
|
|
|
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|
Problem 156 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 32 | 32 | 32 | 25 | 32 | 32 | 24 | 34 | 24 |
normalized size | 1 | 1. | 1. | 0.78 | 1. | 1. | 0.75 | 1.06 | 0.75 |
time (sec) |
N/A |
0.055 |
0.008 |
0.01 |
1.356 |
0.199 |
0.134 |
0.202 |
5.697 |
|
|
|
|
|
|
|
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|
Problem 157 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 25 | 25 | 25 | 18 | 23 | 23 | 15 | 26 | 15 |
normalized size | 1 | 1. | 1. | 0.72 | 0.92 | 0.92 | 0.6 | 1.04 | 0.6 |
time (sec) |
N/A |
0.036 |
0.006 |
0.008 |
1.353 |
0.194 |
0.117 |
0.202 |
2.661 |
|
|
|
|
|
|
|
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|
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|
|
Problem 158 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 36 | 24 | 27 | 43 | 62 | 29 | 31 | 24 |
normalized size | 1 | 1. | 0.67 | 0.75 | 1.19 | 1.72 | 0.81 | 0.86 | 0.67 |
time (sec) |
N/A |
0.04 |
0.021 |
0.008 |
1.361 |
0.238 |
0.131 |
0.199 |
3.69 |
|
|
|
|
|
|
|
|
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|
|
|
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|
|
Problem 159 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 45 | 45 | 24 | 30 | 97 | 97 | 71 | 30 | 32 |
normalized size | 1 | 1. | 0.53 | 0.67 | 2.16 | 2.16 | 1.58 | 0.67 | 0.71 |
time (sec) |
N/A |
0.031 |
0.009 |
0.009 |
1.371 |
0.195 |
0.235 |
0.201 |
2.301 |
|
|
|
|
|
|
|
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|
|
Problem 160 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 55 | 55 | 41 | 46 | 65 | 90 | 42 | 74 | 44 |
normalized size | 1 | 1. | 0.75 | 0.84 | 1.18 | 1.64 | 0.76 | 1.35 | 0.8 |
time (sec) |
N/A |
0.057 |
0.018 |
0.009 |
1.527 |
0.239 |
0.146 |
0.201 |
5.055 |
|
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Problem 161 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 36 | 38 | 35 | 51 | 80 | 41 | 58 | 27 |
normalized size | 1 | 1. | 1.06 | 0.97 | 1.42 | 2.22 | 1.14 | 1.61 | 0.75 |
time (sec) |
N/A |
0.035 |
0.034 |
0.013 |
1.729 |
0.214 |
0.155 |
0.199 |
2.921 |
|
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Problem 162 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 35 | 35 | 31 | 28 | 42 | 65 | 29 | 54 | 27 |
normalized size | 1 | 1. | 0.89 | 0.8 | 1.2 | 1.86 | 0.83 | 1.54 | 0.77 |
time (sec) |
N/A |
0.032 |
0.028 |
0.013 |
1.799 |
0.214 |
0.138 |
0.209 |
2.394 |
|
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Problem 163 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 61 | 61 | 46 | 42 | 68 | 115 | 51 | 57 | 48 |
normalized size | 1 | 1. | 0.75 | 0.69 | 1.11 | 1.89 | 0.84 | 0.93 | 0.79 |
time (sec) |
N/A |
0.029 |
0.036 |
0.015 |
1.637 |
0.239 |
0.184 |
0.214 |
1.235 |
|
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Problem 164 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 51 | 51 | 36 | 44 | 59 | 84 | 42 | 46 | 41 |
normalized size | 1 | 1. | 0.71 | 0.86 | 1.16 | 1.65 | 0.82 | 0.9 | 0.8 |
time (sec) |
N/A |
0.031 |
0.027 |
0.006 |
1.734 |
0.22 |
0.193 |
0.198 |
1.08 |
|
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Problem 165 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 54 | 54 | 54 | 49 | 81 | 142 | 58 | 63 | 48 |
normalized size | 1 | 1. | 1. | 0.91 | 1.5 | 2.63 | 1.07 | 1.17 | 0.89 |
time (sec) |
N/A |
0.054 |
0.023 |
0.015 |
1.437 |
0.236 |
0.213 |
0.2 |
3.425 |
|
|
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Problem 166 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 42 | 53 | 32 | 58 | 72 | 49 | 65 | 36 |
normalized size | 1 | 1.17 | 1.47 | 0.89 | 1.61 | 2. | 1.36 | 1.81 | 1. |
time (sec) |
N/A |
0.037 |
0.057 |
0.008 |
1.62 |
0.235 |
0.114 |
0.213 |
2.731 |
|
|
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Problem 167 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 58 | 58 | 40 | 32 | 55 | 80 | 39 | 42 | 49 |
normalized size | 1 | 1. | 0.69 | 0.55 | 0.95 | 1.38 | 0.67 | 0.72 | 0.84 |
time (sec) |
N/A |
0.046 |
0.029 |
0.011 |
1.628 |
0.233 |
0.186 |
0.218 |
4.488 |
|
|
|
|
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Problem 168 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 43 | 43 | 43 | 37 | 49 | 68 | 42 | 49 | 39 |
normalized size | 1 | 1. | 1. | 0.86 | 1.14 | 1.58 | 0.98 | 1.14 | 0.91 |
time (sec) |
N/A |
0.046 |
0.059 |
0.007 |
1.537 |
0.2 |
0.172 |
0.217 |
2.397 |
|
|
|
|
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Problem 169 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 43 | 43 | 62 | 37 | 63 | 99 | 58 | 69 | 37 |
normalized size | 1 | 1. | 1.44 | 0.86 | 1.47 | 2.3 | 1.35 | 1.6 | 0.86 |
time (sec) |
N/A |
0.051 |
0.06 |
0.004 |
1.596 |
0.198 |
0.15 |
0.222 |
3.297 |
|
|
|
|
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Problem 170 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 37 | 37 | 25 | 28 | 41 | 51 | 24 | 54 | 27 |
normalized size | 1 | 1. | 0.68 | 0.76 | 1.11 | 1.38 | 0.65 | 1.46 | 0.73 |
time (sec) |
N/A |
0.033 |
0.016 |
0.013 |
1.558 |
0.221 |
0.209 |
0.211 |
2.37 |
|
|
|
|
|
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Problem 171 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 32 | 39 | 26 | 29 | 38 | 51 | 26 | 38 | 31 |
normalized size | 1 | 1.22 | 0.81 | 0.91 | 1.19 | 1.59 | 0.81 | 1.19 | 0.97 |
time (sec) |
N/A |
0.07 |
0.02 |
0.011 |
1.428 |
0.205 |
0.172 |
0.202 |
6.523 |
|
|
|
|
|
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|
Problem 172 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 13 | 13 | 13 | 12 | 15 | 26 | 20 | 15 | 12 |
normalized size | 1 | 1. | 1. | 0.92 | 1.15 | 2. | 1.54 | 1.15 | 0.92 |
time (sec) |
N/A |
0.006 |
0.005 |
0.002 |
1.422 |
0.2 |
1.691 |
0.201 |
0.88 |
|
|
|
|
|
|
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|
Problem 173 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 54 | 54 | 46 | 49 | 77 | 109 | 51 | 76 | 51 |
normalized size | 1 | 1. | 0.85 | 0.91 | 1.43 | 2.02 | 0.94 | 1.41 | 0.94 |
time (sec) |
N/A |
0.062 |
0.04 |
0.023 |
1.46 |
0.227 |
4.931 |
0.205 |
4.487 |
|
|
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|
Problem 174 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 157 | 157 | 134 | 152 | 0 | 468 | 65 | 203 | 144 |
normalized size | 1 | 1. | 0.85 | 0.97 | 0. | 2.98 | 0.41 | 1.29 | 0.92 |
time (sec) |
N/A |
0.209 |
0.177 |
0.018 |
0. |
0.233 |
9.005 |
0.204 |
17.796 |
|
|
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|
Problem 175 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 64 | 64 | 75 | 57 | 81 | 105 | 76 | 68 | 60 |
normalized size | 1 | 1. | 1.17 | 0.89 | 1.27 | 1.64 | 1.19 | 1.06 | 0.94 |
time (sec) |
N/A |
0.07 |
0.083 |
0.019 |
1.525 |
0.212 |
16.124 |
0.227 |
6.672 |
|
|
|
|
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Problem 176 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 39 | 39 | 33 | 34 | 46 | 61 | 27 | 41 | 29 |
normalized size | 1 | 1. | 0.85 | 0.87 | 1.18 | 1.56 | 0.69 | 1.05 | 0.74 |
time (sec) |
N/A |
0.052 |
0.024 |
0.013 |
1.428 |
0.203 |
0.258 |
0.248 |
3.266 |
|
|
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Problem 177 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
F(-2) |
A |
F(-2) |
F(-1) |
verified |
N/A |
NO |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 325 | 319 | 293 | 354 | 452 | 0 | 37 | 0 | 0 |
normalized size | 1 | 0.98 | 0.9 | 1.09 | 1.39 | 0. | 0.11 | 0. | 0. |
time (sec) |
N/A |
1.155 |
0.557 |
0.164 |
1.58 |
0. |
0.485 |
0. |
0. |
|
|
|
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|
Problem 178 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 59 | 59 | 65 | 39 | 76 | 109 | 58 | 74 | 46 |
normalized size | 1 | 1. | 1.1 | 0.66 | 1.29 | 1.85 | 0.98 | 1.25 | 0.78 |
time (sec) |
N/A |
0.053 |
0.116 |
0.013 |
1.577 |
0.216 |
0.211 |
0.208 |
3.894 |
|
|
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Problem 179 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 36 | 33 | 29 | 42 | 54 | 32 | 38 | 32 |
normalized size | 1 | 1. | 0.92 | 0.81 | 1.17 | 1.5 | 0.89 | 1.06 | 0.89 |
time (sec) |
N/A |
0.078 |
0.024 |
0. |
1.564 |
0.212 |
0.177 |
0.216 |
6.767 |
|
|
|
|
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|
Problem 180 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 38 | 38 | 32 | 31 | 51 | 88 | 36 | 47 | 0 |
normalized size | 1 | 1. | 0.84 | 0.82 | 1.34 | 2.32 | 0.95 | 1.24 | 0. |
time (sec) |
N/A |
0.106 |
0.034 |
0.019 |
1.414 |
0.217 |
0.159 |
0.218 |
0. |
|
|
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|
|
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|
Problem 181 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 64 | 64 | 65 | 61 | 68 | 116 | 60 | 81 | 51 |
normalized size | 1 | 1. | 1.02 | 0.95 | 1.06 | 1.81 | 0.94 | 1.27 | 0.8 |
time (sec) |
N/A |
0.13 |
0.052 |
0.018 |
1.597 |
0.228 |
0.318 |
0.217 |
6.13 |
|
|
|
|
|
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Problem 182 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 63 | 63 | 63 | 54 | 80 | 147 | 66 | 97 | 58 |
normalized size | 1 | 1. | 1. | 0.86 | 1.27 | 2.33 | 1.05 | 1.54 | 0.92 |
time (sec) |
N/A |
0.143 |
0.056 |
0.013 |
1.591 |
0.225 |
0.239 |
0.214 |
7.25 |
|
|
|
|
|
|
|
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|
|
Problem 183 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 43 | 43 | 46 | 36 | 49 | 74 | 34 | 45 | 36 |
normalized size | 1 | 1. | 1.07 | 0.84 | 1.14 | 1.72 | 0.79 | 1.05 | 0.84 |
time (sec) |
N/A |
0.043 |
0.023 |
0.013 |
1.395 |
0.244 |
0.158 |
0.2 |
3.648 |
|
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Problem 184 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 27 | 27 | 20 | 24 | 58 | 58 | 37 | 24 | 22 |
normalized size | 1 | 1. | 0.74 | 0.89 | 2.15 | 2.15 | 1.37 | 0.89 | 0.81 |
time (sec) |
N/A |
0.041 |
0.011 |
0.013 |
1.4 |
0.194 |
0.279 |
0.202 |
3.23 |
|
|
|
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Problem 185 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 44 | 39 | 53 | 74 | 34 | 54 | 0 |
normalized size | 1 | 1. | 0.96 | 0.85 | 1.15 | 1.61 | 0.74 | 1.17 | 0. |
time (sec) |
N/A |
0.061 |
0.021 |
0.015 |
1.435 |
0.198 |
0.158 |
0.202 |
0. |
|
|
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Problem 186 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 44 | 50 | 39 | 35 | 50 | 76 | 34 | 58 | 34 |
normalized size | 1 | 1.14 | 0.89 | 0.8 | 1.14 | 1.73 | 0.77 | 1.32 | 0.77 |
time (sec) |
N/A |
0.04 |
0.034 |
0.014 |
1.41 |
0.2 |
0.157 |
0.198 |
2.624 |
|
|
|
|
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Problem 187 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 54 | 54 | 54 | 49 | 81 | 142 | 58 | 63 | 48 |
normalized size | 1 | 1. | 1. | 0.91 | 1.5 | 2.63 | 1.07 | 1.17 | 0.89 |
time (sec) |
N/A |
0.054 |
0.022 |
0. |
1.41 |
0.198 |
0.212 |
0.213 |
3.361 |
|
|
|
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Problem 188 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 36 | 36 | 33 | 43 | 53 | 31 | 61 | 0 |
normalized size | 1 | 1. | 1. | 0.92 | 1.19 | 1.47 | 0.86 | 1.69 | 0. |
time (sec) |
N/A |
0.035 |
0.022 |
0. |
1.452 |
0.197 |
0.078 |
0.213 |
0. |
|
|
|
|
|
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Problem 189 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 44 | 44 | 41 | 39 | 51 | 1 | 39 | 53 | 0 |
normalized size | 1 | 1. | 0.93 | 0.89 | 1.16 | 0.02 | 0.89 | 1.2 | 0. |
time (sec) |
N/A |
0.075 |
0.02 |
0.003 |
1.412 |
0.177 |
0.045 |
0.211 |
0. |
|
|
|
|
|
|
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|
|
Problem 190 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 96 | 96 | 91 | 95 | 123 | 1 | 100 | 132 | 0 |
normalized size | 1 | 1. | 0.95 | 0.99 | 1.28 | 0.01 | 1.04 | 1.38 | 0. |
time (sec) |
N/A |
0.203 |
0.045 |
0.003 |
1.4 |
0.178 |
0.075 |
0.21 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 191 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 167 | 167 | 167 | 237 | 231 | 1 | 189 | 254 | 0 |
normalized size | 1 | 1. | 1. | 1.42 | 1.38 | 0.01 | 1.13 | 1.52 | 0. |
time (sec) |
N/A |
0.377 |
0.057 |
0. |
1.413 |
0.182 |
0.098 |
0.199 |
0. |
|
|
|
|
|
|
|
|
|
|
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|
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|
|
Problem 192 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 263 | 263 | 263 | 363 | 369 | 1 | 313 | 414 | 0 |
normalized size | 1 | 1. | 1. | 1.38 | 1.4 | 0. | 1.19 | 1.57 | 0. |
time (sec) |
N/A |
0.666 |
0.106 |
0.003 |
1.432 |
0.184 |
0.131 |
0.199 |
0. |
|
|
|
|
|
|
|
|
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|
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|
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|
|
Problem 193 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F |
F(-1) |
F |
A |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 159 | 159 | 471 | 0 | 0 | 0 | 0 | 0 | 134 |
normalized size | 1 | 1. | 2.96 | 0. | 0. | 0. | 0. | 0. | 0.84 |
time (sec) |
N/A |
0.198 |
3.551 |
0.201 |
0. |
0. |
0. |
0. |
6.923 |
|
|
|
|
|
|
|
|
|
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|
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|
|
Problem 194 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 65 | 65 | 66 | 95 | 0 | 1 | 246 | 81 | 53 |
normalized size | 1 | 1. | 1.02 | 1.46 | 0. | 0.02 | 3.78 | 1.25 | 0.82 |
time (sec) |
N/A |
0.089 |
0.075 |
0.007 |
0. |
0.217 |
1.02 |
0.2 |
7.32 |
|
|
|
|
|
|
|
|
|
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|
|
Problem 195 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 89 | 89 | 88 | 146 | 0 | 1 | 323 | 124 | 76 |
normalized size | 1 | 1. | 0.99 | 1.64 | 0. | 0.01 | 3.63 | 1.39 | 0.85 |
time (sec) |
N/A |
0.106 |
0.126 |
0.004 |
0. |
0.214 |
1.983 |
0.203 |
6.493 |
|
|
|
|
|
|
|
|
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|
|
Problem 196 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 130 | 130 | 127 | 274 | 0 | 1 | 622 | 262 | 121 |
normalized size | 1 | 1. | 0.98 | 2.11 | 0. | 0.01 | 4.78 | 2.02 | 0.93 |
time (sec) |
N/A |
0.165 |
0.229 |
0.007 |
0. |
0.229 |
3.893 |
0.204 |
9.29 |
|
|
|
|
|
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|
Problem 197 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 173 | 173 | 168 | 405 | 0 | 1 | 1027 | 490 | 165 |
normalized size | 1 | 1. | 0.97 | 2.34 | 0. | 0.01 | 5.94 | 2.83 | 0.95 |
time (sec) |
N/A |
0.254 |
0.35 |
0.008 |
0. |
0.228 |
7.614 |
0.21 |
13.272 |
|
|
|
|
|
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|
Problem 198 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F |
F(-1) |
F |
A |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 169 | 169 | 374 | 0 | 0 | 0 | 0 | 0 | 131 |
normalized size | 1 | 1. | 2.21 | 0. | 0. | 0. | 0. | 0. | 0.78 |
time (sec) |
N/A |
0.195 |
2.136 |
0.119 |
0. |
0. |
0. |
0. |
7.107 |
|
|
|
|
|
|
|
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|
|
Problem 199 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 49 | 49 | 44 | 31 | 55 | 70 | 46 | 62 | 49 |
normalized size | 1 | 1. | 0.9 | 0.63 | 1.12 | 1.43 | 0.94 | 1.27 | 1. |
time (sec) |
N/A |
0.041 |
0.033 |
0.003 |
1.584 |
0.208 |
0.1 |
0.199 |
2.038 |
|
|
|
|
|
|
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|
Problem 200 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 61 | 61 | 70 | 56 | 90 | 138 | 75 | 82 | 53 |
normalized size | 1 | 1. | 1.15 | 0.92 | 1.48 | 2.26 | 1.23 | 1.34 | 0.87 |
time (sec) |
N/A |
0.052 |
0.073 |
0.003 |
1.789 |
0.2 |
0.19 |
0.203 |
2.683 |
|
|
|
|
|
|
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|
Problem 201 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 36 | 33 | 28 | 41 | 61 | 31 | 43 | 31 |
normalized size | 1 | 1. | 0.92 | 0.78 | 1.14 | 1.69 | 0.86 | 1.19 | 0.86 |
time (sec) |
N/A |
0.022 |
0.026 |
0.015 |
1.344 |
0.197 |
0.134 |
0.2 |
2.003 |
|
|
|
|
|
|
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|
Problem 202 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 87 | 87 | 87 | 70 | 122 | 223 | 88 | 84 | 76 |
normalized size | 1 | 1. | 1. | 0.8 | 1.4 | 2.56 | 1.01 | 0.97 | 0.87 |
time (sec) |
N/A |
0.049 |
0.04 |
0.017 |
1.328 |
0.198 |
0.282 |
0.199 |
1.715 |
|
|
|
|
|
|
|
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|
Problem 203 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 81 | 81 | 70 | 62 | 93 | 173 | 80 | 90 | 76 |
normalized size | 1 | 1. | 0.86 | 0.77 | 1.15 | 2.14 | 0.99 | 1.11 | 0.94 |
time (sec) |
N/A |
0.124 |
0.054 |
0.016 |
1.507 |
0.214 |
0.285 |
0.203 |
7.782 |
|
|
|
|
|
|
|
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|
|
Problem 204 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 104 | 104 | 87 | 70 | 122 | 223 | 88 | 84 | 95 |
normalized size | 1 | 1. | 0.84 | 0.67 | 1.17 | 2.14 | 0.85 | 0.81 | 0.91 |
time (sec) |
N/A |
0.198 |
0.036 |
0.014 |
1.341 |
0.221 |
0.281 |
0.205 |
12.735 |
|
|
|
|
|
|
|
|
|
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|
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|
|
Problem 205 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 102 | 102 | 99 | 80 | 127 | 234 | 90 | 89 | 90 |
normalized size | 1 | 1. | 0.97 | 0.78 | 1.25 | 2.29 | 0.88 | 0.87 | 0.88 |
time (sec) |
N/A |
0.081 |
0.081 |
0.016 |
1.351 |
0.212 |
0.327 |
0.203 |
5.833 |
|
|
|
|
|
|
|
|
|
|
|
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Problem 206 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 40 | 40 | 40 | 35 | 53 | 53 | 37 | 63 | 41 |
normalized size | 1 | 1. | 1. | 0.88 | 1.32 | 1.32 | 0.92 | 1.58 | 1.02 |
time (sec) |
N/A |
0.05 |
0.008 |
0.01 |
1.349 |
0.218 |
0.741 |
0.202 |
4.599 |
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Problem 207 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
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|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 83 | 83 | 62 | 56 | 112 | 153 | 102 | 78 | 75 |
normalized size | 1 | 1. | 0.75 | 0.67 | 1.35 | 1.84 | 1.23 | 0.94 | 0.9 |
time (sec) |
N/A |
0.087 |
0.035 |
0.017 |
1.51 |
0.201 |
92.07 |
0.204 |
5.99 |
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Problem 208 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
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|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 49 | 49 | 49 | 32 | 42 | 50 | 42 | 42 | 42 |
normalized size | 1 | 1. | 1. | 0.65 | 0.86 | 1.02 | 0.86 | 0.86 | 0.86 |
time (sec) |
N/A |
0.095 |
0.014 |
0.004 |
1.351 |
0.2 |
1.837 |
0.201 |
7.623 |
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Problem 209 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
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|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 55 | 55 | 55 | 32 | 42 | 42 | 48 | 42 | 0 |
normalized size | 1 | 1. | 1. | 0.58 | 0.76 | 0.76 | 0.87 | 0.76 | 0. |
time (sec) |
N/A |
0.351 |
0.022 |
0.006 |
1.346 |
0.198 |
0.915 |
0.205 |
0. |
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Problem 210 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
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|
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|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 22 | 22 | 22 | 31 | 24 | 24 | 19 | 24 | 19 |
normalized size | 1 | 1. | 1. | 1.41 | 1.09 | 1.09 | 0.86 | 1.09 | 0.86 |
time (sec) |
N/A |
0.021 |
0.007 |
0.003 |
1.453 |
0.201 |
0.13 |
0.199 |
1.131 |
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Problem 211 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
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|
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|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 15 | 15 | 15 | 13 | 16 | 15 | 22 | 16 | 0 |
normalized size | 1 | 1. | 1. | 0.87 | 1.07 | 1. | 1.47 | 1.07 | 0. |
time (sec) |
N/A |
0.017 |
0.01 |
0.002 |
1.365 |
0.201 |
1.392 |
0.207 |
0. |
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Problem 212 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
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|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 25 | 25 | 24 | 21 | 27 | 26 | 20 | 28 | 0 |
normalized size | 1 | 1. | 0.96 | 0.84 | 1.08 | 1.04 | 0.8 | 1.12 | 0. |
time (sec) |
N/A |
0.042 |
0.011 |
0.003 |
1.336 |
0.204 |
0.17 |
0.201 |
0. |
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Problem 213 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 33 | 33 | 33 | 111 | 34 | 34 | 0 | 35 | 0 |
normalized size | 1 | 1. | 1. | 3.36 | 1.03 | 1.03 | 0. | 1.06 | 0. |
time (sec) |
N/A |
0.038 |
0.017 |
0.03 |
1.38 |
0.202 |
0. |
0.209 |
0. |
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Problem 214 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 29 | 29 | 24 | 20 | 26 | 26 | 134 | 26 | 24 |
normalized size | 1 | 1. | 0.83 | 0.69 | 0.9 | 0.9 | 4.62 | 0.9 | 0.83 |
time (sec) |
N/A |
0.023 |
0.01 |
0.003 |
1.46 |
0.206 |
2.548 |
0.201 |
1.601 |
|
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Problem 215 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 53 | 53 | 36 | 73 | 74 | 76 | 3966 | 66 | 48 |
normalized size | 1 | 1. | 0.68 | 1.38 | 1.4 | 1.43 | 74.83 | 1.25 | 0.91 |
time (sec) |
N/A |
0.034 |
0.039 |
0.021 |
1.398 |
0.208 |
4.331 |
0.204 |
2.231 |
|
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Problem 216 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 127 | 127 | 61 | 157 | 150 | 155 | 971 | 140 | 104 |
normalized size | 1 | 1. | 0.48 | 1.24 | 1.18 | 1.22 | 7.65 | 1.1 | 0.82 |
time (sec) |
N/A |
0.102 |
0.077 |
0.026 |
1.352 |
0.206 |
25.901 |
0.202 |
5.276 |
|
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Problem 217 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 104 | 104 | 63 | 158 | 142 | 128 | 7998 | 111 | 99 |
normalized size | 1 | 1. | 0.61 | 1.52 | 1.37 | 1.23 | 76.9 | 1.07 | 0.95 |
time (sec) |
N/A |
0.093 |
0.025 |
0.026 |
1.497 |
0.216 |
4.897 |
0.203 |
3.234 |
|
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Problem 218 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 38 | 38 | 62 | 39 | 58 | 43 | 0 | 39 | 32 |
normalized size | 1 | 1. | 1.63 | 1.03 | 1.53 | 1.13 | 0. | 1.03 | 0.84 |
time (sec) |
N/A |
0.036 |
0.037 |
0.007 |
1.52 |
0.215 |
0. |
0.205 |
1.989 |
|
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Problem 219 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 92 | 95 | 110 | 208 | 176 | 99 | 0 | 139 | 80 |
normalized size | 1 | 1.03 | 1.2 | 2.26 | 1.91 | 1.08 | 0. | 1.51 | 0.87 |
time (sec) |
N/A |
0.13 |
0.194 |
0.031 |
1.493 |
0.209 |
0. |
0.217 |
7.593 |
|
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Problem 220 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
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|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 54 | 54 | 64 | 64 | 0 | 128 | 0 | 100 | 44 |
normalized size | 1 | 1. | 1.19 | 1.19 | 0. | 2.37 | 0. | 1.85 | 0.81 |
time (sec) |
N/A |
0.841 |
0.066 |
0.033 |
0. |
0.233 |
0. |
0.21 |
42.758 |
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Problem 221 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
A |
F(-1) |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 304 | 319 | 165 | 0 | 0 | 774 | 0 | 0 | 0 |
normalized size | 1 | 1.05 | 0.54 | 0. | 0. | 2.55 | 0. | 0. | 0. |
time (sec) |
N/A |
1.369 |
0.397 |
0.072 |
0. |
0.259 |
0. |
0. |
0. |
|
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Problem 222 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
A |
F |
F(-1) |
F(-1) |
verified |
N/A |
NO |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 292 | 522 | 391 | 0 | 0 | 1841 | 0 | 0 | 0 |
normalized size | 1 | 1.79 | 1.34 | 0. | 0. | 6.3 | 0. | 0. | 0. |
time (sec) |
N/A |
3.298 |
1.239 |
0.059 |
0. |
0.432 |
0. |
0. |
0. |
|
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Problem 223 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
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|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 25 | 29 | 25 | 22 | 0 | 63 | 0 | 0 | 0 |
normalized size | 1 | 1.16 | 1. | 0.88 | 0. | 2.52 | 0. | 0. | 0. |
time (sec) |
N/A |
0.033 |
0.018 |
0.004 |
0. |
0.23 |
0. |
0. |
0. |
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Problem 224 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 25 | 30 | 25 | 22 | 0 | 93 | 0 | 0 | 0 |
normalized size | 1 | 1.2 | 1. | 0.88 | 0. | 3.72 | 0. | 0. | 0. |
time (sec) |
N/A |
0.034 |
0.021 |
0.006 |
0. |
0.204 |
0. |
0. |
0. |
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Problem 225 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 53 | 63 | 30 | 27 | 0 | 104 | 0 | 0 | 0 |
normalized size | 1 | 1.19 | 0.57 | 0.51 | 0. | 1.96 | 0. | 0. | 0. |
time (sec) |
N/A |
0.052 |
0.024 |
0.005 |
0. |
0.198 |
0. |
0. |
0. |
|
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Problem 226 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
B |
C |
F |
F |
A |
F |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 67 | 188 | 49 | 0 | 0 | 166 | 0 | 0 | 144 |
normalized size | 1 | 2.81 | 0.73 | 0. | 0. | 2.48 | 0. | 0. | 2.15 |
time (sec) |
N/A |
0.235 |
0.023 |
0.02 |
0. |
0.202 |
0. |
0. |
2.885 |
|
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Problem 227 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 122 | 133 | 112 | 118 | 0 | 185 | 0 | 230 | 0 |
normalized size | 1 | 1.09 | 0.92 | 0.97 | 0. | 1.52 | 0. | 1.89 | 0. |
time (sec) |
N/A |
0.577 |
0.096 |
0.03 |
0. |
0.216 |
0. |
0.267 |
0. |
|
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Problem 228 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
B |
C |
F |
F |
A |
F |
F |
A |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 150 | 404 | 145 | 0 | 0 | 387 | 0 | 0 | 301 |
normalized size | 1 | 2.69 | 0.97 | 0. | 0. | 2.58 | 0. | 0. | 2.01 |
time (sec) |
N/A |
0.74 |
0.298 |
0.051 |
0. |
0.217 |
0. |
0. |
12.654 |
|
|
|
|
|
|
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Problem 229 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 43 | 43 | 27 | 32 | 69 | 123 | 0 | 31 | 36 |
normalized size | 1 | 1. | 0.63 | 0.74 | 1.6 | 2.86 | 0. | 0.72 | 0.84 |
time (sec) |
N/A |
0.018 |
0.018 |
0.006 |
1.383 |
0.21 |
0. |
0.208 |
0.765 |
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Problem 230 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 42 | 42 | 52 | 45 | 28 | 84 | 0 | 46 | 36 |
normalized size | 1 | 1. | 1.24 | 1.07 | 0.67 | 2. | 0. | 1.1 | 0.86 |
time (sec) |
N/A |
0.08 |
0.022 |
0.013 |
1.55 |
0.215 |
0. |
0.207 |
2.029 |
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Problem 231 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 139 | 139 | 58 | 144 | 77 | 186 | 0 | 4 | 128 |
normalized size | 1 | 1. | 0.42 | 1.04 | 0.55 | 1.34 | 0. | 0.03 | 0.92 |
time (sec) |
N/A |
0.235 |
0.041 |
0.025 |
1.595 |
0.218 |
0. |
0.528 |
4.474 |
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Problem 232 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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|
grade |
A |
B |
C |
F |
F |
A |
F |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 75 | 188 | 49 | 0 | 0 | 166 | 0 | 0 | 155 |
normalized size | 1 | 2.51 | 0.65 | 0. | 0. | 2.21 | 0. | 0. | 2.07 |
time (sec) |
N/A |
0.233 |
0.026 |
0.022 |
0. |
0.21 |
0. |
0. |
2.699 |
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Problem 233 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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|
|
grade |
A |
A |
A |
A |
F |
A |
F |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 29 | 29 | 23 | 24 | 0 | 30 | 0 | 0 | 26 |
normalized size | 1 | 1. | 0.79 | 0.83 | 0. | 1.03 | 0. | 0. | 0.9 |
time (sec) |
N/A |
0.068 |
0.017 |
0.005 |
0. |
0.211 |
0. |
0. |
1.846 |
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Problem 234 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
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|
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|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 92 | 92 | 32 | 34 | 0 | 43 | 0 | 0 | 85 |
normalized size | 1 | 1. | 0.35 | 0.37 | 0. | 0.47 | 0. | 0. | 0.92 |
time (sec) |
N/A |
0.187 |
0.019 |
0.006 |
0. |
0.201 |
0. |
0. |
3.321 |
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Problem 235 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
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|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 19 | 19 | 19 | 15 | 22 | 38 | 0 | 22 | 34 |
normalized size | 1 | 1. | 1. | 0.79 | 1.16 | 2. | 0. | 1.16 | 1.79 |
time (sec) |
N/A |
0.027 |
0.015 |
0.004 |
1.527 |
0.246 |
0. |
0.213 |
0.74 |
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Problem 236 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
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|
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|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 8 | 8 | 8 | 5 | 11 | 23 | 0 | 5 | 20 |
normalized size | 1 | 1. | 1. | 0.62 | 1.38 | 2.88 | 0. | 0.62 | 2.5 |
time (sec) |
N/A |
0.012 |
0.009 |
0.004 |
1.519 |
0.211 |
0. |
0.206 |
0.69 |
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Problem 237 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
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|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 12 | 12 | 12 | 12 | 15 | 38 | 0 | 15 | 37 |
normalized size | 1 | 1. | 1. | 1. | 1.25 | 3.17 | 0. | 1.25 | 3.08 |
time (sec) |
N/A |
0.011 |
0.011 |
0.005 |
1.58 |
0.24 |
0. |
0.218 |
0.741 |
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Problem 238 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
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|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 33 | 29 | 0 | 65 | 0 | 69 | 24 |
normalized size | 1 | 1. | 1.06 | 0.94 | 0. | 2.1 | 0. | 2.23 | 0.77 |
time (sec) |
N/A |
0.026 |
0.043 |
0.014 |
0. |
0.212 |
0. |
0.221 |
2.477 |
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Problem 239 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
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|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 56 | 22 | 0 | 119 | 0 | 77 | 26 |
normalized size | 1 | 1. | 1.81 | 0.71 | 0. | 3.84 | 0. | 2.48 | 0.84 |
time (sec) |
N/A |
0.03 |
0.072 |
0.013 |
0. |
0.244 |
0. |
0.217 |
3. |
|
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Problem 240 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
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|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 24 | 24 | 24 | 100 | 151 | 68 | 61 | 57 | 22 |
normalized size | 1 | 1. | 1. | 4.17 | 6.29 | 2.83 | 2.54 | 2.38 | 0.92 |
time (sec) |
N/A |
0.059 |
0.018 |
0.047 |
1.529 |
0.222 |
12.504 |
0.212 |
4.429 |
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Problem 241 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
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|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 25 | 25 | 25 | 100 | 136 | 34 | 20 | 27 | 24 |
normalized size | 1 | 1. | 1. | 4. | 5.44 | 1.36 | 0.8 | 1.08 | 0.96 |
time (sec) |
N/A |
0.058 |
0.017 |
0.047 |
1.52 |
0.228 |
4.409 |
0.213 |
4.517 |
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Problem 242 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
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|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 43 | 43 | 80 | 70 | 0 | 128 | 0 | 100 | 37 |
normalized size | 1 | 1. | 1.86 | 1.63 | 0. | 2.98 | 0. | 2.33 | 0.86 |
time (sec) |
N/A |
0.061 |
0.058 |
0.034 |
0. |
0.228 |
0. |
0.232 |
5.631 |
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Problem 243 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
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|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 62 | 62 | 88 | 49 | 73 | 190 | 0 | 147 | 60 |
normalized size | 1 | 1. | 1.42 | 0.79 | 1.18 | 3.06 | 0. | 2.37 | 0.97 |
time (sec) |
N/A |
0.099 |
0.051 |
0.017 |
1.537 |
0.239 |
0. |
0.245 |
5.981 |
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Problem 244 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
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|
|
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|
|
|
grade |
A |
A |
A |
A |
F |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 82 | 82 | 155 | 69 | 0 | 265 | 0 | 221 | 80 |
normalized size | 1 | 1. | 1.89 | 0.84 | 0. | 3.23 | 0. | 2.7 | 0.98 |
time (sec) |
N/A |
0.258 |
0.147 |
0.032 |
0. |
0.235 |
0. |
0.229 |
25.566 |
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Problem 245 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
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|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
A |
F |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 63 | 63 | 426 | 53 | 0 | 356 | 0 | 0 | 61 |
normalized size | 1 | 1. | 6.76 | 0.84 | 0. | 5.65 | 0. | 0. | 0.97 |
time (sec) |
N/A |
0.148 |
0.489 |
0.016 |
0. |
0.242 |
0. |
0. |
12.526 |
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Problem 246 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
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|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
A |
F |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 56 | 56 | 352 | 128 | 0 | 379 | 0 | 0 | 60 |
normalized size | 1 | 1. | 6.29 | 2.29 | 0. | 6.77 | 0. | 0. | 1.07 |
time (sec) |
N/A |
0.134 |
0.338 |
0.029 |
0. |
0.237 |
0. |
0. |
8.217 |
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Problem 247 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
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|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
A |
F |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 70 | 70 | 1102 | 158 | 0 | 556 | 0 | 0 | 66 |
normalized size | 1 | 1. | 15.74 | 2.26 | 0. | 7.94 | 0. | 0. | 0.94 |
time (sec) |
N/A |
0.179 |
6.395 |
0.041 |
0. |
0.254 |
0. |
0. |
14.328 |
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Problem 248 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
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|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F(-1) |
F |
F(-2) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 80 | 89 | 1149 | 192 | 0 | 0 | 0 | 0 | 105 |
normalized size | 1 | 1.11 | 14.36 | 2.4 | 0. | 0. | 0. | 0. | 1.31 |
time (sec) |
N/A |
0.289 |
4.385 |
0.039 |
0. |
0. |
0. |
0. |
22.736 |
|
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Problem 249 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
A |
F |
F(-2) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 38 | 38 | 410 | 94 | 0 | 112 | 0 | 0 | 32 |
normalized size | 1 | 1. | 10.79 | 2.47 | 0. | 2.95 | 0. | 0. | 0.84 |
time (sec) |
N/A |
0.065 |
0.597 |
0.016 |
0. |
0.221 |
0. |
0. |
5.852 |
|
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Problem 250 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
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|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 65 | 65 | 40 | 49 | 65 | 57 | 155 | 49 | 54 |
normalized size | 1 | 1. | 0.62 | 0.75 | 1. | 0.88 | 2.38 | 0.75 | 0.83 |
time (sec) |
N/A |
0.054 |
0.037 |
0.009 |
1.499 |
0.219 |
7.688 |
0.21 |
3.692 |
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Problem 251 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 49 | 49 | 28 | 25 | 50 | 99 | 41 | 69 | 37 |
normalized size | 1 | 1. | 0.57 | 0.51 | 1.02 | 2.02 | 0.84 | 1.41 | 0.76 |
time (sec) |
N/A |
0.036 |
0.013 |
0.006 |
1.502 |
0.302 |
8.405 |
0.209 |
2.654 |
|
|
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Problem 252 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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|
|
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|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 49 | 49 | 28 | 25 | 50 | 59 | 0 | 35 | 42 |
normalized size | 1 | 1. | 0.57 | 0.51 | 1.02 | 1.2 | 0. | 0.71 | 0.86 |
time (sec) |
N/A |
0.019 |
0.015 |
0.005 |
1.352 |
0.202 |
0. |
0.22 |
0.793 |
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Problem 253 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
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|
|
grade |
A |
A |
A |
B |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 12 | 12 | 12 | 328 | 14 | 84 | 0 | 15 | 10 |
normalized size | 1 | 1. | 1. | 27.33 | 1.17 | 7. | 0. | 1.25 | 0.83 |
time (sec) |
N/A |
0.075 |
0.012 |
0.062 |
1.34 |
0.227 |
0. |
0.217 |
3.574 |
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Problem 254 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
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|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 12 | 12 | 12 | 11 | 14 | 78 | 29 | 30 | 12 |
normalized size | 1 | 1. | 1. | 0.92 | 1.17 | 6.5 | 2.42 | 2.5 | 1. |
time (sec) |
N/A |
0.016 |
0.019 |
0.009 |
1.488 |
0.257 |
9.91 |
0.215 |
2.034 |
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Problem 255 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
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|
|
grade |
A |
A |
A |
A |
F |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 27 | 27 | 27 | 23 | 0 | 143 | 0 | 86 | 27 |
normalized size | 1 | 1. | 1. | 0.85 | 0. | 5.3 | 0. | 3.19 | 1. |
time (sec) |
N/A |
0.035 |
0.019 |
0.016 |
0. |
0.253 |
0. |
0.217 |
4.08 |
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Problem 256 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
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|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 48 | 48 | 48 | 46 | 0 | 238 | 0 | 136 | 42 |
normalized size | 1 | 1. | 1. | 0.96 | 0. | 4.96 | 0. | 2.83 | 0.88 |
time (sec) |
N/A |
0.041 |
0.033 |
0.023 |
0. |
0.239 |
0. |
0.215 |
3.76 |
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Problem 257 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 41 | 41 | 100 | 144 | 149 | 0 | 97 | 36 |
normalized size | 1 | 1. | 1. | 2.44 | 3.51 | 3.63 | 0. | 2.37 | 0.88 |
time (sec) |
N/A |
0.07 |
0.037 |
0.052 |
1.78 |
0.252 |
0. |
0.24 |
5.766 |
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Problem 258 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F(-2) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 47 | 47 | 47 | 70 | 0 | 178 | 0 | 166 | 37 |
normalized size | 1 | 1. | 1. | 1.49 | 0. | 3.79 | 0. | 3.53 | 0.79 |
time (sec) |
N/A |
0.071 |
0.071 |
0.037 |
0. |
0.236 |
0. |
0.213 |
6.55 |
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Problem 259 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 88 | 88 | 137 | 82 | 0 | 394 | 0 | 182 | 0 |
normalized size | 1 | 1. | 1.56 | 0.93 | 0. | 4.48 | 0. | 2.07 | 0. |
time (sec) |
N/A |
0.415 |
0.177 |
0.03 |
0. |
0.22 |
0. |
0.227 |
0. |
|
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Problem 260 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
A |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 136 | 136 | 1046 | 654 | 0 | 439 | 0 | 238 | 112 |
normalized size | 1 | 1. | 7.69 | 4.81 | 0. | 3.23 | 0. | 1.75 | 0.82 |
time (sec) |
N/A |
2.802 |
6.348 |
0.079 |
0. |
0.241 |
0. |
0.22 |
92.16 |
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Problem 261 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 64 | 64 | 66 | 73 | 0 | 69 | 0 | 61 | 53 |
normalized size | 1 | 1. | 1.03 | 1.14 | 0. | 1.08 | 0. | 0.95 | 0.83 |
time (sec) |
N/A |
0.046 |
0.081 |
0.013 |
0. |
0.262 |
0. |
0.215 |
2.661 |
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Problem 262 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 89 | 89 | 74 | 91 | 0 | 81 | 0 | 73 | 78 |
normalized size | 1 | 1. | 0.83 | 1.02 | 0. | 0.91 | 0. | 0.82 | 0.88 |
time (sec) |
N/A |
0.074 |
0.08 |
0.007 |
0. |
0.273 |
0. |
0.211 |
4.217 |
|
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Problem 263 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 113 | 113 | 82 | 111 | 0 | 92 | 0 | 85 | 100 |
normalized size | 1 | 1. | 0.73 | 0.98 | 0. | 0.81 | 0. | 0.75 | 0.88 |
time (sec) |
N/A |
0.105 |
0.096 |
0.007 |
0. |
0.261 |
0. |
0.209 |
5.777 |
|
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Problem 264 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 49 | 49 | 113 | 42 | 73 | 115 | 0 | 96 | 44 |
normalized size | 1 | 1. | 2.31 | 0.86 | 1.49 | 2.35 | 0. | 1.96 | 0.9 |
time (sec) |
N/A |
0.077 |
0.113 |
0.019 |
1.747 |
0.275 |
0. |
0.222 |
5.675 |
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Problem 265 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 79 | 79 | 126 | 74 | 89 | 89 | 0 | 198 | 66 |
normalized size | 1 | 1. | 1.59 | 0.94 | 1.13 | 1.13 | 0. | 2.51 | 0.84 |
time (sec) |
N/A |
0.146 |
0.144 |
0.022 |
1.765 |
0.233 |
0. |
0.21 |
6.671 |
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Problem 266 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 12 | 12 | 12 | 10 | 15 | 24 | 0 | 24 | 17 |
normalized size | 1 | 1. | 1. | 0.83 | 1.25 | 2. | 0. | 2. | 1.42 |
time (sec) |
N/A |
0.018 |
0.007 |
0.004 |
1.684 |
0.2 |
0. |
0.202 |
0.65 |
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Problem 267 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 53 | 53 | 41 | 47 | 65 | 212 | 0 | 53 | 56 |
normalized size | 1 | 1. | 0.77 | 0.89 | 1.23 | 4. | 0. | 1. | 1.06 |
time (sec) |
N/A |
0.07 |
0.026 |
0.008 |
1.643 |
0.203 |
0. |
0.204 |
3.932 |
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Problem 268 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 19 | 19 | 19 | 16 | 30 | 39 | 0 | 20 | 15 |
normalized size | 1 | 1. | 1. | 0.84 | 1.58 | 2.05 | 0. | 1.05 | 0.79 |
time (sec) |
N/A |
0.007 |
0.011 |
0.005 |
1.397 |
0.202 |
0. |
0.203 |
0.563 |
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Problem 269 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 17 | 17 | 17 | 14 | 30 | 55 | 0 | 18 | 17 |
normalized size | 1 | 1. | 1. | 0.82 | 1.76 | 3.24 | 0. | 1.06 | 1. |
time (sec) |
N/A |
0.012 |
0.011 |
0.006 |
1.381 |
0.2 |
0. |
0.202 |
1.374 |
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Problem 270 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 56 | 56 | 41 | 61 | 63 | 185 | 0 | 51 | 58 |
normalized size | 1 | 1. | 0.73 | 1.09 | 1.12 | 3.3 | 0. | 0.91 | 1.04 |
time (sec) |
N/A |
0.068 |
0.033 |
0.009 |
1.597 |
0.241 |
0. |
0.206 |
4.175 |
|
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Problem 271 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 65 | 65 | 46 | 49 | 76 | 266 | 0 | 59 | 65 |
normalized size | 1 | 1. | 0.71 | 0.75 | 1.17 | 4.09 | 0. | 0.91 | 1. |
time (sec) |
N/A |
0.056 |
0.034 |
0.007 |
1.62 |
0.2 |
0. |
0.206 |
3.421 |
|
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Problem 272 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 55 | 55 | 46 | 43 | 76 | 266 | 0 | 59 | 56 |
normalized size | 1 | 1. | 0.84 | 0.78 | 1.38 | 4.84 | 0. | 1.07 | 1.02 |
time (sec) |
N/A |
0.031 |
0.035 |
0.004 |
1.568 |
0.202 |
0. |
0.205 |
1.018 |
|
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Problem 273 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 74 | 74 | 56 | 58 | 104 | 374 | 0 | 73 | 75 |
normalized size | 1 | 1. | 0.76 | 0.78 | 1.41 | 5.05 | 0. | 0.99 | 1.01 |
time (sec) |
N/A |
0.044 |
0.043 |
0.004 |
1.586 |
0.204 |
0. |
0.203 |
1.317 |
|
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Problem 274 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 38 | 38 | 42 | 31 | 50 | 140 | 0 | 90 | 29 |
normalized size | 1 | 1. | 1.11 | 0.82 | 1.32 | 3.68 | 0. | 2.37 | 0.76 |
time (sec) |
N/A |
0.036 |
0.029 |
0.007 |
1.6 |
0.208 |
0. |
0.209 |
2.935 |
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Problem 275 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
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|
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|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 57 | 57 | 45 | 44 | 68 | 234 | 0 | 113 | 48 |
normalized size | 1 | 1. | 0.79 | 0.77 | 1.19 | 4.11 | 0. | 1.98 | 0.84 |
time (sec) |
N/A |
0.074 |
0.036 |
0.009 |
1.589 |
0.204 |
0. |
0.209 |
4.615 |
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Problem 276 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
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|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 62 | 62 | 52 | 56 | 78 | 270 | 0 | 108 | 53 |
normalized size | 1 | 1. | 0.84 | 0.9 | 1.26 | 4.35 | 0. | 1.74 | 0.85 |
time (sec) |
N/A |
0.076 |
0.052 |
0.006 |
1.574 |
0.209 |
0. |
0.205 |
4.942 |
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Problem 277 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
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|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 79 | 79 | 57 | 69 | 96 | 354 | 0 | 158 | 71 |
normalized size | 1 | 1. | 0.72 | 0.87 | 1.22 | 4.48 | 0. | 2. | 0.9 |
time (sec) |
N/A |
0.116 |
0.045 |
0.007 |
1.594 |
0.234 |
0. |
0.207 |
7.019 |
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Problem 278 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
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|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 22 | 22 | 28 | 22 | 34 | 41 | 0 | 43 | 17 |
normalized size | 1 | 1. | 1.27 | 1. | 1.55 | 1.86 | 0. | 1.95 | 0.77 |
time (sec) |
N/A |
0.025 |
0.014 |
0.007 |
1.598 |
0.21 |
0. |
0.206 |
2.359 |
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Problem 279 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
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|
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|
|
|
grade |
A |
A |
A |
A |
F |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 86 | 86 | 112 | 69 | 0 | 254 | 0 | 198 | 80 |
normalized size | 1 | 1. | 1.3 | 0.8 | 0. | 2.95 | 0. | 2.3 | 0.93 |
time (sec) |
N/A |
0.494 |
0.064 |
0.017 |
0. |
0.233 |
0. |
0.247 |
21.054 |
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Problem 280 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
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|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 62 | 62 | 72 | 91 | 82 | 247 | 0 | 204 | 68 |
normalized size | 1 | 1. | 1.16 | 1.47 | 1.32 | 3.98 | 0. | 3.29 | 1.1 |
time (sec) |
N/A |
0.122 |
0.089 |
0.01 |
1.581 |
0.226 |
0. |
0.239 |
6.876 |
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Problem 281 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
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|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 76 | 76 | 146 | 123 | 0 | 540 | 0 | 317 | 71 |
normalized size | 1 | 1. | 1.92 | 1.62 | 0. | 7.11 | 0. | 4.17 | 0.93 |
time (sec) |
N/A |
0.189 |
0.387 |
0.038 |
0. |
0.228 |
0. |
0.208 |
31.2 |
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Problem 282 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
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|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 36 | 24 | 21 | 38 | 77 | 0 | 41 | 27 |
normalized size | 1 | 1. | 0.67 | 0.58 | 1.06 | 2.14 | 0. | 1.14 | 0.75 |
time (sec) |
N/A |
0.14 |
0.026 |
0.01 |
1.611 |
0.211 |
0. |
0.208 |
8.36 |
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Problem 283 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 87 | 87 | 146 | 69 | 0 | 498 | 0 | 200 | 88 |
normalized size | 1 | 1. | 1.68 | 0.79 | 0. | 5.72 | 0. | 2.3 | 1.01 |
time (sec) |
N/A |
0.403 |
0.19 |
0.027 |
0. |
0.226 |
0. |
0.208 |
24.027 |
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Problem 284 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 58 | 58 | 39 | 38 | 103 | 213 | 0 | 45 | 54 |
normalized size | 1 | 1. | 0.67 | 0.66 | 1.78 | 3.67 | 0. | 0.78 | 0.93 |
time (sec) |
N/A |
0.024 |
0.022 |
0.005 |
1.367 |
0.214 |
0. |
0.203 |
1.026 |
|
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Problem 285 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
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|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 47 | 47 | 33 | 30 | 80 | 189 | 0 | 36 | 39 |
normalized size | 1 | 1. | 0.7 | 0.64 | 1.7 | 4.02 | 0. | 0.77 | 0.83 |
time (sec) |
N/A |
0.02 |
0.02 |
0.006 |
1.532 |
0.212 |
0. |
0.209 |
0.841 |
|
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Problem 286 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 47 | 47 | 33 | 30 | 80 | 69 | 0 | 53 | 41 |
normalized size | 1 | 1. | 0.7 | 0.64 | 1.7 | 1.47 | 0. | 1.13 | 0.87 |
time (sec) |
N/A |
0.02 |
0.028 |
0.006 |
1.434 |
0.212 |
0. |
0.215 |
0.847 |
|
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Problem 287 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 29 | 29 | 29 | 40 | 0 | 111 | 0 | 81 | 32 |
normalized size | 1 | 1. | 1. | 1.38 | 0. | 3.83 | 0. | 2.79 | 1.1 |
time (sec) |
N/A |
0.067 |
0.031 |
0.007 |
0. |
0.201 |
0. |
0.203 |
4.728 |
|
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Problem 288 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 45 | 59 | 56 | 52 | 0 | 209 | 0 | 89 | 54 |
normalized size | 1 | 1.31 | 1.24 | 1.16 | 0. | 4.64 | 0. | 1.98 | 1.2 |
time (sec) |
N/A |
0.067 |
0.036 |
0.007 |
0. |
0.215 |
0. |
0.204 |
3.428 |
|
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Problem 289 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 79 | 79 | 56 | 59 | 0 | 266 | 0 | 73 | 0 |
normalized size | 1 | 1. | 0.71 | 0.75 | 0. | 3.37 | 0. | 0.92 | 0. |
time (sec) |
N/A |
0.232 |
0.062 |
0.006 |
0. |
0.224 |
0. |
0.212 |
0. |
|
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Problem 290 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 80 | 80 | 78 | 80 | 0 | 311 | 0 | 142 | 0 |
normalized size | 1 | 1. | 0.98 | 1. | 0. | 3.89 | 0. | 1.78 | 0. |
time (sec) |
N/A |
0.64 |
0.041 |
0.016 |
0. |
0.238 |
0. |
0.224 |
0. |
|
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Problem 291 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 158 | 158 | 137 | 140 | 0 | 1071 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.87 | 0.89 | 0. | 6.78 | 0. | 0. | 0. |
time (sec) |
N/A |
1.025 |
0.172 |
0.016 |
0. |
0.242 |
0. |
0. |
0. |
|
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Problem 292 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 41 | 31 | 30 | 51 | 38 | 131 | 39 | 34 |
normalized size | 1 | 1. | 0.76 | 0.73 | 1.24 | 0.93 | 3.2 | 0.95 | 0.83 |
time (sec) |
N/A |
0.027 |
0.023 |
0.01 |
1.632 |
0.209 |
4.409 |
0.201 |
1.737 |
|
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Problem 293 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 13 | 13 | 13 | 18 | 15 | 15 | 10 | 15 | 10 |
normalized size | 1 | 1. | 1. | 1.38 | 1.15 | 1.15 | 0.77 | 1.15 | 0.77 |
time (sec) |
N/A |
0.014 |
0.013 |
0.004 |
1.581 |
0.216 |
1.621 |
0.208 |
0.949 |
|
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Problem 294 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 71 | 71 | 59 | 109 | 103 | 105 | 418 | 103 | 66 |
normalized size | 1 | 1. | 0.83 | 1.54 | 1.45 | 1.48 | 5.89 | 1.45 | 0.93 |
time (sec) |
N/A |
0.066 |
0.036 |
0.021 |
1.764 |
0.222 |
3.565 |
0.208 |
2.712 |
|
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Problem 295 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 40 | 40 | 23 | 20 | 38 | 39 | 189 | 66 | 32 |
normalized size | 1 | 1. | 0.57 | 0.5 | 0.95 | 0.98 | 4.72 | 1.65 | 0.8 |
time (sec) |
N/A |
0.023 |
0.018 |
0.004 |
1.534 |
0.202 |
3.27 |
0.2 |
2.124 |
|
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Problem 296 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
A |
A |
A |
F(-2) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 48 | 48 | 62 | 53 | 70 | 70 | 51 | 0 | 42 |
normalized size | 1 | 1. | 1.29 | 1.1 | 1.46 | 1.46 | 1.06 | 0. | 0.88 |
time (sec) |
N/A |
0.048 |
0.047 |
0.013 |
1.589 |
0.223 |
6.697 |
0. |
3.3 |
|
|
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Problem 297 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 69 | 69 | 36 | 46 | 61 | 34 | 3305 | 85 | 56 |
normalized size | 1 | 1. | 0.52 | 0.67 | 0.88 | 0.49 | 47.9 | 1.23 | 0.81 |
time (sec) |
N/A |
0.046 |
0.019 |
0.003 |
1.4 |
0.217 |
3.499 |
0.217 |
3.334 |
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Problem 298 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 193 | 193 | 72 | 130 | 212 | 267 | 44 | 192 | 172 |
normalized size | 1 | 1. | 0.37 | 0.67 | 1.1 | 1.38 | 0.23 | 0.99 | 0.89 |
time (sec) |
N/A |
0.216 |
0.045 |
0.017 |
1.652 |
0.229 |
65.648 |
0.205 |
10.044 |
|
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Problem 299 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 13 | 13 | 13 | 37 | 12 | 12 | 26 | 12 | 10 |
normalized size | 1 | 1. | 1. | 2.85 | 0.92 | 0.92 | 2. | 0.92 | 0.77 |
time (sec) |
N/A |
0.006 |
0.006 |
0.037 |
1.481 |
0.209 |
0.818 |
0.201 |
0.788 |
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Problem 300 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 13 | 13 | 13 | 37 | 12 | 12 | 12 | 12 | 12 |
normalized size | 1 | 1. | 1. | 2.85 | 0.92 | 0.92 | 0.92 | 0.92 | 0.92 |
time (sec) |
N/A |
0.006 |
0.005 |
0.009 |
1.483 |
0.208 |
1.023 |
0.2 |
0.793 |
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Problem 301 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 59 | 59 | 43 | 74 | 86 | 99 | 42 | 86 | 51 |
normalized size | 1 | 1. | 0.73 | 1.25 | 1.46 | 1.68 | 0.71 | 1.46 | 0.86 |
time (sec) |
N/A |
0.08 |
0.027 |
0.113 |
1.726 |
0.226 |
1.728 |
0.203 |
2.343 |
|
|
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Problem 302 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 70 | 70 | 54 | 76 | 89 | 117 | 34 | 90 | 63 |
normalized size | 1 | 1. | 0.77 | 1.09 | 1.27 | 1.67 | 0.49 | 1.29 | 0.9 |
time (sec) |
N/A |
0.078 |
0.022 |
0.064 |
1.621 |
0.222 |
3.187 |
0.208 |
2.611 |
|
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Problem 303 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
A |
F(-1) |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 68 | 68 | 46 | 35 | 113 | 0 | 41 | 112 | 61 |
normalized size | 1 | 1. | 0.68 | 0.51 | 1.66 | 0. | 0.6 | 1.65 | 0.9 |
time (sec) |
N/A |
0.057 |
0.028 |
0.066 |
1.632 |
0. |
1.762 |
0.214 |
3.321 |
|
|
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Problem 304 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 93 | 93 | 51 | 42 | 177 | 147 | 41 | 149 | 85 |
normalized size | 1 | 1. | 0.55 | 0.45 | 1.9 | 1.58 | 0.44 | 1.6 | 0.91 |
time (sec) |
N/A |
0.086 |
0.03 |
0.034 |
1.631 |
0.211 |
4.215 |
0.215 |
4.221 |
|
|
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Problem 305 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 93 | 93 | 51 | 42 | 176 | 147 | 39 | 147 | 85 |
normalized size | 1 | 1. | 0.55 | 0.45 | 1.89 | 1.58 | 0.42 | 1.58 | 0.91 |
time (sec) |
N/A |
0.082 |
0.028 |
0.035 |
1.691 |
0.216 |
2.683 |
0.211 |
3.994 |
|
|
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Problem 306 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
B |
C |
C |
F |
F(-1) |
F |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 93 | 200 | 56 | 15 | 0 | 0 | 0 | 0 | 162 |
normalized size | 1 | 2.15 | 0.6 | 0.16 | 0. | 0. | 0. | 0. | 1.74 |
time (sec) |
N/A |
0.263 |
0.028 |
0.043 |
0. |
0. |
0. |
0. |
8.952 |
|
|
|
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|
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Problem 307 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
F(-2) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 126 | 114 | 82 | 108 | 212 | 117 | 0 | 0 | 104 |
normalized size | 1 | 0.9 | 0.65 | 0.86 | 1.68 | 0.93 | 0. | 0. | 0.83 |
time (sec) |
N/A |
0.184 |
0.171 |
0.017 |
1.493 |
51.65 |
0. |
0. |
8.713 |
|
|
|
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|
Problem 308 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 34 | 34 | 37 | 0 | 47 | 113 | 0 | 95 | 32 |
normalized size | 1 | 1. | 1.09 | 0. | 1.38 | 3.32 | 0. | 2.79 | 0.94 |
time (sec) |
N/A |
0.086 |
0.038 |
0.094 |
1.599 |
0.212 |
0. |
0.245 |
4.34 |
|
|
|
|
|
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|
Problem 309 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 58 | 58 | 47 | 0 | 0 | 242 | 0 | 66 | 58 |
normalized size | 1 | 1. | 0.81 | 0. | 0. | 4.17 | 0. | 1.14 | 1. |
time (sec) |
N/A |
0.078 |
0.035 |
0.044 |
0. |
0.206 |
0. |
0.203 |
3.548 |
|
|
|
|
|
|
|
|
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|
Problem 310 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 71 | 71 | 59 | 60 | 70 | 269 | 0 | 0 | 63 |
normalized size | 1 | 1. | 0.83 | 0.85 | 0.99 | 3.79 | 0. | 0. | 0.89 |
time (sec) |
N/A |
0.127 |
0.096 |
0.019 |
1.544 |
0.394 |
0. |
0. |
7.106 |
|
|
|
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|
Problem 311 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
A |
A |
F |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 21 | 21 | 59 | 46 | 70 | 80 | 0 | 0 | 22 |
normalized size | 1 | 1. | 2.81 | 2.19 | 3.33 | 3.81 | 0. | 0. | 1.05 |
time (sec) |
N/A |
0.098 |
0.086 |
0.036 |
1.49 |
0.206 |
0. |
0. |
6.166 |
|
|
|
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|
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|
Problem 312 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 17 | 17 | 17 | 22 | 18 | 18 | 36 | 18 | 14 |
normalized size | 1 | 1. | 1. | 1.29 | 1.06 | 1.06 | 2.12 | 1.06 | 0.82 |
time (sec) |
N/A |
0.008 |
0.018 |
0.007 |
1.404 |
0.202 |
2.137 |
0.214 |
2.134 |
|
|
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|
Problem 313 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 40 | 116 | 46 | 47 | 226 | 46 | 0 |
normalized size | 1 | 1. | 0.87 | 2.52 | 1. | 1.02 | 4.91 | 1. | 0. |
time (sec) |
N/A |
0.315 |
0.028 |
0.1 |
1.367 |
0.203 |
4.623 |
0.204 |
0. |
|
|
|
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|
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|
Problem 314 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F |
F |
A |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 107 | 107 | 112 | 0 | 0 | 274 | 0 | 0 | 102 |
normalized size | 1 | 1. | 1.05 | 0. | 0. | 2.56 | 0. | 0. | 0.95 |
time (sec) |
N/A |
0.15 |
0.186 |
0.065 |
0. |
1.926 |
0. |
0. |
6.846 |
|
|
|
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|
Problem 315 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F |
F |
A |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 141 | 141 | 132 | 0 | 0 | 524 | 0 | 0 | 124 |
normalized size | 1 | 1. | 0.94 | 0. | 0. | 3.72 | 0. | 0. | 0.88 |
time (sec) |
N/A |
0.137 |
0.114 |
0.05 |
0. |
3.524 |
0. |
0. |
7.57 |
|
|
|
|
|
|
|
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|
|
Problem 316 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 63 | 63 | 91 | 29 | 127 | 131 | 71 | 0 | 88 |
normalized size | 1 | 1. | 1.44 | 0.46 | 2.02 | 2.08 | 1.13 | 0. | 1.4 |
time (sec) |
N/A |
0.032 |
0.073 |
0.044 |
1.66 |
0.212 |
2.785 |
0. |
3.8 |
|
|
|
|
|
|
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|
|
Problem 317 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 74 | 74 | 92 | 0 | 0 | 323 | 0 | 0 | 70 |
normalized size | 1 | 1. | 1.24 | 0. | 0. | 4.36 | 0. | 0. | 0.95 |
time (sec) |
N/A |
0.064 |
0.161 |
0.055 |
0. |
4.283 |
0. |
0. |
3.686 |
|
|
|
|
|
|
|
|
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|
|
Problem 318 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 48 | 59 | 26 | 23 | 99 | 54 | 0 | 0 | 49 |
normalized size | 1 | 1.23 | 0.54 | 0.48 | 2.06 | 1.12 | 0. | 0. | 1.02 |
time (sec) |
N/A |
0.038 |
0.025 |
0.01 |
1.41 |
0.205 |
0. |
0. |
3.055 |
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 319 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F |
F |
A |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 123 | 123 | 0 | 0 | 0 | 489 | 0 | 0 | 116 |
normalized size | 1 | 1. | 0. | 0. | 0. | 3.98 | 0. | 0. | 0.94 |
time (sec) |
N/A |
0.208 |
0.13 |
0.038 |
0. |
6.393 |
0. |
0. |
18.569 |
|
|
|
|
|
|
|
|
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|
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|
|
Problem 320 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
A |
F |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 23 | 23 | 40 | 112 | 0 | 24 | 0 | 0 | 22 |
normalized size | 1 | 1. | 1.74 | 4.87 | 0. | 1.04 | 0. | 0. | 0.96 |
time (sec) |
N/A |
0.057 |
0.06 |
0.011 |
0. |
0.236 |
0. |
0. |
5.596 |
|
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Problem 321 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
A |
F |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 23 | 23 | 36 | 112 | 0 | 57 | 0 | 0 | 22 |
normalized size | 1 | 1. | 1.57 | 4.87 | 0. | 2.48 | 0. | 0. | 0.96 |
time (sec) |
N/A |
0.059 |
0.058 |
0.008 |
0. |
0.231 |
0. |
0. |
5.654 |
|
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Problem 322 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 16 | 23 | 23 | 18 | 77 | 66 | 14 | 0 | 17 |
normalized size | 1 | 1.44 | 1.44 | 1.12 | 4.81 | 4.12 | 0.88 | 0. | 1.06 |
time (sec) |
N/A |
0.081 |
0.049 |
0.013 |
1.513 |
0.207 |
3.015 |
0. |
4.924 |
|
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Problem 323 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 16 | 23 | 23 | 18 | 77 | 63 | 14 | 0 | 17 |
normalized size | 1 | 1.44 | 1.44 | 1.12 | 4.81 | 3.94 | 0.88 | 0. | 1.06 |
time (sec) |
N/A |
0.08 |
0.046 |
0.01 |
1.547 |
0.203 |
3.048 |
0. |
4.886 |
|
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Problem 324 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
A |
F |
F |
A |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 26 | 26 | 0 | 184 | 0 | 63 | 0 | 0 | 26 |
normalized size | 1 | 1. | 0. | 7.08 | 0. | 2.42 | 0. | 0. | 1. |
time (sec) |
N/A |
0.07 |
0.241 |
0.244 |
0. |
0.231 |
0. |
0. |
8.178 |
|
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Problem 325 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
A |
F |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 15 | 15 | 94 | 188 | 0 | 18 | 0 | 0 | 14 |
normalized size | 1 | 1. | 6.27 | 12.53 | 0. | 1.2 | 0. | 0. | 0.93 |
time (sec) |
N/A |
0.064 |
0.104 |
0.046 |
0. |
0.238 |
0. |
0. |
8.014 |
|
|
|
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Problem 326 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 16 | 16 | 16 | 29 | 30 | 19 | 0 | 0 | 12 |
normalized size | 1 | 1. | 1. | 1.81 | 1.88 | 1.19 | 0. | 0. | 0.75 |
time (sec) |
N/A |
0.011 |
0.016 |
0.009 |
1.632 |
0.205 |
0. |
0. |
5.126 |
|
|
|
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|
Problem 327 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
A |
F |
F |
A |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 74 | 74 | 17955 | 247419 | 0 | 1 | 0 | 0 | 76 |
normalized size | 1 | 1. | 242.64 | 3343.5 | 0. | 0.01 | 0. | 0. | 1.03 |
time (sec) |
N/A |
0.323 |
6.296 |
0.139 |
0. |
0.387 |
0. |
0. |
19.633 |
|
|
|
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|
Problem 328 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 22 | 22 | 24 | 0 | 0 | 77 | 0 | 0 | 17 |
normalized size | 1 | 1. | 1.09 | 0. | 0. | 3.5 | 0. | 0. | 0.77 |
time (sec) |
N/A |
0.098 |
1.384 |
0.036 |
0. |
0.654 |
0. |
0. |
4.061 |
|
|
|
|
|
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|
|
Problem 329 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F(-2) |
F |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 24 | 24 | 26 | 0 | 0 | 0 | 0 | 0 | 19 |
normalized size | 1 | 1. | 1.08 | 0. | 0. | 0. | 0. | 0. | 0.79 |
time (sec) |
N/A |
0.105 |
0.052 |
0.106 |
0. |
0. |
0. |
0. |
3.968 |
|
|
|
|
|
|
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|
|
Problem 330 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 14 | 14 | 14 | 11 | 14 | 14 | 10 | 14 | 10 |
normalized size | 1 | 1. | 1. | 0.79 | 1. | 1. | 0.71 | 1. | 0.71 |
time (sec) |
N/A |
0.012 |
0.003 |
0.001 |
1.404 |
0.222 |
0.035 |
0.216 |
0.492 |
|
|
|
|
|
|
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|
|
Problem 331 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 11 | 11 | 15 | 11 | 12 | 14 | 8 | 12 | 8 |
normalized size | 1 | 1. | 1.36 | 1. | 1.09 | 1.27 | 0.73 | 1.09 | 0.73 |
time (sec) |
N/A |
0.013 |
0.003 |
0.003 |
1.391 |
0.222 |
0.056 |
0.202 |
0.648 |
|
|
|
|
|
|
|
|
|
|
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|
|
|
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|
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|
|
Problem 332 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 24 | 24 | 22 | 18 | 22 | 26 | 24 | 22 | 24 |
normalized size | 1 | 1. | 0.92 | 0.75 | 0.92 | 1.08 | 1. | 0.92 | 1. |
time (sec) |
N/A |
0.02 |
0.003 |
0. |
1.365 |
0.228 |
0.038 |
0.199 |
0.577 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 333 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 34 | 34 | 30 | 24 | 32 | 34 | 36 | 30 | 36 |
normalized size | 1 | 1. | 0.88 | 0.71 | 0.94 | 1. | 1.06 | 0.88 | 1.06 |
time (sec) |
N/A |
0.033 |
0.003 |
0.003 |
1.447 |
0.227 |
0.039 |
0.2 |
0.671 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
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|
|
Problem 334 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 44 | 44 | 38 | 30 | 41 | 42 | 48 | 38 | 48 |
normalized size | 1 | 1. | 0.86 | 0.68 | 0.93 | 0.95 | 1.09 | 0.86 | 1.09 |
time (sec) |
N/A |
0.039 |
0.003 |
0.053 |
1.351 |
0.229 |
0.042 |
0.199 |
0.801 |
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
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|
|
|
|
Problem 335 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
B |
A |
B |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 20 | 64 | 21 | 39 | 31 | 50 | 99 | 19 | 44 |
normalized size | 1 | 3.2 | 1.05 | 1.95 | 1.55 | 2.5 | 4.95 | 0.95 | 2.2 |
time (sec) |
N/A |
0.029 |
0.021 |
0.01 |
1.444 |
0.233 |
0.947 |
0.201 |
0.735 |
|
|
|
|
|
|
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|
|
Problem 336 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 31 | 23 | 31 | 30 | 39 | 31 | 24 |
normalized size | 1 | 1. | 1. | 0.74 | 1. | 0.97 | 1.26 | 1. | 0.77 |
time (sec) |
N/A |
0.021 |
0.019 |
0.01 |
1.368 |
0.225 |
0.429 |
0.2 |
0.923 |
|
|
|
|
|
|
|
|
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|
|
|
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|
|
Problem 337 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 21 | 21 | 27 | 18 | 27 | 50 | 32 | 27 | 32 |
normalized size | 1 | 1. | 1.29 | 0.86 | 1.29 | 2.38 | 1.52 | 1.29 | 1.52 |
time (sec) |
N/A |
0.017 |
0.005 |
0.043 |
1.353 |
0.22 |
0.041 |
0.201 |
0.625 |
|
|
|
|
|
|
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|
|
Problem 338 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 36 | 95 | 32 | 73 | 126 | 60 | 151 | 42 |
normalized size | 1 | 1. | 2.64 | 0.89 | 2.03 | 3.5 | 1.67 | 4.19 | 1.17 |
time (sec) |
N/A |
0.033 |
0.011 |
0.054 |
1.552 |
0.236 |
0.214 |
0.205 |
0.701 |
|
|
|
|
|
|
|
|
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|
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|
|
Problem 339 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 41 | 57 | 37 | 45 | 54 | 66 | 45 | 66 |
normalized size | 1 | 1. | 1.39 | 0.9 | 1.1 | 1.32 | 1.61 | 1.1 | 1.61 |
time (sec) |
N/A |
0.03 |
0.007 |
0.052 |
1.573 |
0.218 |
0.043 |
0.199 |
1.016 |
|
|
|
|
|
|
|
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|
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|
|
Problem 340 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 40 | 40 | 69 | 40 | 69 | 95 | 388 | 72 | 31 |
normalized size | 1 | 1. | 1.72 | 1. | 1.72 | 2.38 | 9.7 | 1.8 | 0.78 |
time (sec) |
N/A |
0.022 |
0.205 |
0.053 |
1.463 |
0.226 |
2.437 |
0.204 |
0.636 |
|
|
|
|
|
|
|
|
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|
|
Problem 341 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 22 | 22 | 30 | 19 | 24 | 24 | 31 | 24 | 17 |
normalized size | 1 | 1. | 1.36 | 0.86 | 1.09 | 1.09 | 1.41 | 1.09 | 0.77 |
time (sec) |
N/A |
0.023 |
0.006 |
0.004 |
1.61 |
0.218 |
0.061 |
0.203 |
0.533 |
|
|
|
|
|
|
|
|
|
|
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|
|
|
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|
|
Problem 342 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 20 | 20 | 16 | 26 | 30 | 54 | 19 | 50 | 20 |
normalized size | 1 | 1. | 0.8 | 1.3 | 1.5 | 2.7 | 0.95 | 2.5 | 1. |
time (sec) |
N/A |
0.024 |
0.006 |
0.01 |
1.446 |
0.214 |
0.115 |
0.208 |
0.53 |
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
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|
|
Problem 343 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 32 | 32 | 37 | 28 | 41 | 95 | 20 | 72 | 22 |
normalized size | 1 | 1. | 1.16 | 0.88 | 1.28 | 2.97 | 0.62 | 2.25 | 0.69 |
time (sec) |
N/A |
0.025 |
0.086 |
0.004 |
1.544 |
0.221 |
0.236 |
0.209 |
0.582 |
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Problem 344 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 56 | 56 | 46 | 42 | 32 | 50 | 56 | 46 | 58 |
normalized size | 1 | 1. | 0.82 | 0.75 | 0.57 | 0.89 | 1. | 0.82 | 1.04 |
time (sec) |
N/A |
0.098 |
0.023 |
0.009 |
1.365 |
0.308 |
0.046 |
0.2 |
3.108 |
|
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Problem 345 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
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|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 33 | 33 | 55 | 38 | 34 | 34 | 27 | 34 | 27 |
normalized size | 1 | 1. | 1.67 | 1.15 | 1.03 | 1.03 | 0.82 | 1.03 | 0.82 |
time (sec) |
N/A |
0.056 |
0.034 |
0.012 |
1.422 |
0.234 |
0.053 |
0.202 |
3.256 |
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Problem 346 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 46 | 37 | 54 | 51 | 44 | 51 | 0 |
normalized size | 1 | 1. | 1. | 0.8 | 1.17 | 1.11 | 0.96 | 1.11 | 0. |
time (sec) |
N/A |
0.051 |
0.007 |
0.016 |
1.391 |
0.232 |
0.101 |
0.204 |
0. |
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Problem 347 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
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|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 41 | 53 | 56 | 50 | 74 | 44 | 35 | 71 |
normalized size | 1 | 1. | 1.29 | 1.37 | 1.22 | 1.8 | 1.07 | 0.85 | 1.73 |
time (sec) |
N/A |
0.059 |
0.02 |
0.02 |
1.417 |
0.218 |
0.059 |
0.205 |
4.307 |
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Problem 348 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
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|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 24 | 24 | 14 | 19 | 14 | 26 | 14 | 14 | 20 |
normalized size | 1 | 1. | 0.58 | 0.79 | 0.58 | 1.08 | 0.58 | 0.58 | 0.83 |
time (sec) |
N/A |
0.045 |
0.007 |
0.003 |
1.588 |
0.226 |
0.053 |
0.202 |
1.74 |
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Problem 349 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 22 | 36 | 22 | 42 | 31 | 22 | 46 |
normalized size | 1 | 1. | 0.48 | 0.78 | 0.48 | 0.91 | 0.67 | 0.48 | 1. |
time (sec) |
N/A |
0.087 |
0.01 |
0.001 |
1.436 |
0.218 |
0.053 |
0.198 |
2.988 |
|
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Problem 350 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 68 | 68 | 30 | 52 | 32 | 58 | 46 | 30 | 70 |
normalized size | 1 | 1. | 0.44 | 0.76 | 0.47 | 0.85 | 0.68 | 0.44 | 1.03 |
time (sec) |
N/A |
0.128 |
0.016 |
0.01 |
1.471 |
0.231 |
0.055 |
0.202 |
4.293 |
|
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Problem 351 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 90 | 90 | 38 | 68 | 41 | 74 | 61 | 38 | 95 |
normalized size | 1 | 1. | 0.42 | 0.76 | 0.46 | 0.82 | 0.68 | 0.42 | 1.06 |
time (sec) |
N/A |
0.171 |
0.022 |
0.052 |
1.432 |
0.268 |
0.075 |
0.199 |
5.705 |
|
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Problem 352 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 68 | 68 | 59 | 0 | 0 | 0 | 0 | 0 | 49 |
normalized size | 1 | 1. | 0.87 | 0. | 0. | 0. | 0. | 0. | 0.72 |
time (sec) |
N/A |
0.065 |
0.145 |
0.397 |
0. |
0. |
0. |
0. |
2.339 |
|
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Problem 353 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 32 | 32 | 47 | 25 | 55 | 96 | 54 | 178 | 41 |
normalized size | 1 | 1. | 1.47 | 0.78 | 1.72 | 3. | 1.69 | 5.56 | 1.28 |
time (sec) |
N/A |
0.035 |
0.027 |
0.026 |
1.388 |
0.226 |
3.32 |
0.222 |
4.056 |
|
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Problem 354 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 8 | 8 | 8 | 11 | 8 | 19 | 17 | 8 | 5 |
normalized size | 1 | 1. | 1. | 1.38 | 1. | 2.38 | 2.12 | 1. | 0.62 |
time (sec) |
N/A |
0.032 |
0.004 |
0.013 |
1.438 |
0.215 |
0.048 |
0.199 |
1.933 |
|
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Problem 355 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 11 | 11 | 57 | 32 | 19 | 30 | 14 | 19 | 0 |
normalized size | 1 | 1. | 5.18 | 2.91 | 1.73 | 2.73 | 1.27 | 1.73 | 0. |
time (sec) |
N/A |
0.025 |
0.007 |
0.013 |
1.454 |
0.213 |
0.093 |
0.2 |
0. |
|
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Problem 356 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 8 | 8 | 8 | 7 | 8 | 8 | 7 | 8 | 0 |
normalized size | 1 | 1. | 1. | 0.88 | 1. | 1. | 0.88 | 1. | 0. |
time (sec) |
N/A |
0.02 |
0.003 |
0.001 |
1.44 |
0.25 |
0.051 |
0.199 |
0. |
|
|
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Problem 357 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 26 | 26 | 71 | 36 | 51 | 92 | 39 | 63 | 31 |
normalized size | 1 | 1. | 2.73 | 1.38 | 1.96 | 3.54 | 1.5 | 2.42 | 1.19 |
time (sec) |
N/A |
0.049 |
0.013 |
0.017 |
1.438 |
0.224 |
0.174 |
0.205 |
3.022 |
|
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Problem 358 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 17 | 17 | 17 | 22 | 19 | 41 | 14 | 24 | 15 |
normalized size | 1 | 1. | 1. | 1.29 | 1.12 | 2.41 | 0.82 | 1.41 | 0.88 |
time (sec) |
N/A |
0.043 |
0.008 |
0.013 |
1.345 |
0.216 |
0.106 |
0.199 |
2.496 |
|
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Problem 359 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 24 | 49 | 26 | 27 | 0 | 31 | 34 |
normalized size | 1 | 1. | 0.77 | 1.58 | 0.84 | 0.87 | 0. | 1. | 1.1 |
time (sec) |
N/A |
0.045 |
0.063 |
0.125 |
1.359 |
0.227 |
0. |
0.211 |
2.765 |
|
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Problem 360 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 21 | 21 | 22 | 26 | 18 | 36 | 0 | 18 | 51 |
normalized size | 1 | 1. | 1.05 | 1.24 | 0.86 | 1.71 | 0. | 0.86 | 2.43 |
time (sec) |
N/A |
0.039 |
0.042 |
0.326 |
1.341 |
0.227 |
0. |
0.203 |
5.321 |
|
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Problem 361 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 38 | 38 | 95 | 52 | 73 | 126 | 56 | 59 | 46 |
normalized size | 1 | 1. | 2.5 | 1.37 | 1.92 | 3.32 | 1.47 | 1.55 | 1.21 |
time (sec) |
N/A |
0.084 |
0.015 |
0.018 |
1.42 |
0.231 |
0.209 |
0.209 |
4.072 |
|
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Problem 362 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 76 | 76 | 82 | 76 | 100 | 111 | 0 | 128 | 0 |
normalized size | 1 | 1. | 1.08 | 1. | 1.32 | 1.46 | 0. | 1.68 | 0. |
time (sec) |
N/A |
0.063 |
1.255 |
0.032 |
1.485 |
0.239 |
0. |
0.243 |
0. |
|
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Problem 363 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
F(-1) |
A |
F(-2) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 88 | 84 | 127 | 186 | 155 | 240 | 0 | 201 | 0 |
normalized size | 1 | 0.95 | 1.44 | 2.11 | 1.76 | 2.73 | 0. | 2.28 | 0. |
time (sec) |
N/A |
0.811 |
3.177 |
0.253 |
1.548 |
0.282 |
0. |
0.207 |
0. |
|
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Problem 364 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 70 | 70 | 74 | 66 | 73 | 73 | 148 | 73 | 0 |
normalized size | 1 | 1. | 1.06 | 0.94 | 1.04 | 1.04 | 2.11 | 1.04 | 0. |
time (sec) |
N/A |
0.231 |
0.024 |
0.06 |
1.377 |
0.221 |
2.113 |
0.199 |
0. |
|
|
|
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|
Problem 365 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 33 | 33 | 29 | 33 | 49 | 96 | 39 | 101 | 34 |
normalized size | 1 | 1. | 0.88 | 1. | 1.48 | 2.91 | 1.18 | 3.06 | 1.03 |
time (sec) |
N/A |
0.095 |
0.042 |
0.005 |
1.515 |
0.227 |
0.98 |
0.217 |
8.219 |
|
|
|
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Problem 366 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 16 | 16 | 20 | 21 | 19 | 35 | 0 | 19 | 0 |
normalized size | 1 | 1. | 1.25 | 1.31 | 1.19 | 2.19 | 0. | 1.19 | 0. |
time (sec) |
N/A |
0.07 |
0.015 |
0.083 |
1.557 |
0.229 |
0. |
0.199 |
0. |
|
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Problem 367 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 12 | 12 | 45 | 22 | 28 | 36 | 24 | 31 | 15 |
normalized size | 1 | 1. | 3.75 | 1.83 | 2.33 | 3. | 2. | 2.58 | 1.25 |
time (sec) |
N/A |
0.043 |
0.014 |
0.027 |
1.472 |
0.233 |
0.843 |
0.205 |
1.873 |
|
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Problem 368 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
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|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 17 | 17 | 17 | 14 | 18 | 24 | 20 | 18 | 12 |
normalized size | 1 | 1. | 1. | 0.82 | 1.06 | 1.41 | 1.18 | 1.06 | 0.71 |
time (sec) |
N/A |
0.016 |
0.01 |
0.066 |
1.377 |
0.231 |
0.723 |
0.198 |
0.965 |
|
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Problem 369 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
A |
F(-1) |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 26 | 26 | 58 | 31 | 73 | 58 | 0 | 51 | 0 |
normalized size | 1 | 1. | 2.23 | 1.19 | 2.81 | 2.23 | 0. | 1.96 | 0. |
time (sec) |
N/A |
0.059 |
0.212 |
0.032 |
1.432 |
0.233 |
0. |
0.209 |
0. |
|
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Problem 370 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 38 | 38 | 38 | 29 | 41 | 42 | 139 | 38 | 0 |
normalized size | 1 | 1. | 1. | 0.76 | 1.08 | 1.11 | 3.66 | 1. | 0. |
time (sec) |
N/A |
0.051 |
0.019 |
0.07 |
1.386 |
0.253 |
45.846 |
0.197 |
0. |
|
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Problem 371 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 20 | 20 | 20 | 35 | 45 | 58 | 0 | 136 | 29 |
normalized size | 1 | 1. | 1. | 1.75 | 2.25 | 2.9 | 0. | 6.8 | 1.45 |
time (sec) |
N/A |
0.091 |
0.013 |
0.066 |
1.346 |
0.23 |
0. |
0.205 |
23.474 |
|
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Problem 372 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 12 | 12 | 12 | 19 | 26 | 34 | 14 | 96 | 0 |
normalized size | 1 | 1. | 1. | 1.58 | 2.17 | 2.83 | 1.17 | 8. | 0. |
time (sec) |
N/A |
0.036 |
0.011 |
0.073 |
1.356 |
0.235 |
37.134 |
0.207 |
0. |
|
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Problem 373 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 64 | 65 | 39 | 35 | 281 | 96 | 0 | 101 | 0 |
normalized size | 1 | 1.02 | 0.61 | 0.55 | 4.39 | 1.5 | 0. | 1.58 | 0. |
time (sec) |
N/A |
0.137 |
0.047 |
0.092 |
1.596 |
0.238 |
0. |
0.214 |
0. |
|
|
|
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Problem 374 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 11 | 17 | 17 | 27 | 124 | 23 | 0 | 32 | 20 |
normalized size | 1 | 1.55 | 1.55 | 2.45 | 11.27 | 2.09 | 0. | 2.91 | 1.82 |
time (sec) |
N/A |
0.059 |
0.019 |
0.059 |
1.349 |
0.224 |
0. |
0.224 |
21.456 |
|
|
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Problem 375 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 7 | 7 | 7 | 12 | 12 | 15 | 0 | 12 | 0 |
normalized size | 1 | 1. | 1. | 1.71 | 1.71 | 2.14 | 0. | 1.71 | 0. |
time (sec) |
N/A |
0.063 |
0.019 |
0.053 |
1.521 |
0.233 |
0. |
0.199 |
0. |
|
|
|
|
|
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Problem 376 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 53 | 83 | 33 | 43 | 36 | 47 | 107 | 105 | 31 |
normalized size | 1 | 1.57 | 0.62 | 0.81 | 0.68 | 0.89 | 2.02 | 1.98 | 0.58 |
time (sec) |
N/A |
0.197 |
0.08 |
0.075 |
1.485 |
0.235 |
15.03 |
0.212 |
1.055 |
|
|
|
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Problem 377 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
B |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 33 | 94 | 22 | 20 | 53 | 90 | 39 | 50 | 26 |
normalized size | 1 | 2.85 | 0.67 | 0.61 | 1.61 | 2.73 | 1.18 | 1.52 | 0.79 |
time (sec) |
N/A |
0.135 |
0.057 |
0.052 |
1.521 |
0.247 |
16.543 |
0.233 |
0.841 |
|
|
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Problem 378 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 27 | 27 | 9 | 8 | 9 | 28 | 148 | 27 | 7 |
normalized size | 1 | 1. | 0.33 | 0.3 | 0.33 | 1.04 | 5.48 | 1. | 0.26 |
time (sec) |
N/A |
0.036 |
0.016 |
0.039 |
1.538 |
0.223 |
30.851 |
0.209 |
9.273 |
|
|
|
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Problem 379 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 28 | 28 | 41 | 29 | 38 | 62 | 102 | 39 | 0 |
normalized size | 1 | 1. | 1.46 | 1.04 | 1.36 | 2.21 | 3.64 | 1.39 | 0. |
time (sec) |
N/A |
0.083 |
0.066 |
0.14 |
1.548 |
0.222 |
0.928 |
0.207 |
0. |
|
|
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Problem 380 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 67 | 67 | 58 | 39 | 51 | 90 | 0 | 105 | 0 |
normalized size | 1 | 1. | 0.87 | 0.58 | 0.76 | 1.34 | 0. | 1.57 | 0. |
time (sec) |
N/A |
0.084 |
0.169 |
0.083 |
1.527 |
0.228 |
0. |
0.204 |
0. |
|
|
|
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Problem 381 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 55 | 55 | 54 | 29 | 38 | 84 | 0 | 82 | 29 |
normalized size | 1 | 1. | 0.98 | 0.53 | 0.69 | 1.53 | 0. | 1.49 | 0.53 |
time (sec) |
N/A |
0.064 |
0.121 |
0.05 |
1.54 |
0.221 |
0. |
0.216 |
21.427 |
|
|
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Problem 382 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 42 | 42 | 70 | 43 | 59 | 104 | 252 | 53 | 39 |
normalized size | 1 | 1. | 1.67 | 1.02 | 1.4 | 2.48 | 6. | 1.26 | 0.93 |
time (sec) |
N/A |
0.15 |
0.262 |
0.031 |
1.579 |
0.227 |
0.994 |
0.212 |
9.09 |
|
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Problem 383 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 9 | 9 | 23 | 20 | 0 | 26 | 76 | 28 | 0 |
normalized size | 1 | 1. | 2.56 | 2.22 | 0. | 2.89 | 8.44 | 3.11 | 0. |
time (sec) |
N/A |
0.037 |
0.013 |
0.059 |
0. |
0.233 |
11.965 |
0.222 |
0. |
|
|
|
|
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Problem 384 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 15 | 15 | 174 | 13 | 174 | 46 | 0 | 66 | 17 |
normalized size | 1 | 1. | 11.6 | 0.87 | 11.6 | 3.07 | 0. | 4.4 | 1.13 |
time (sec) |
N/A |
0.027 |
0.582 |
0.026 |
1.51 |
0.221 |
0. |
0.243 |
1.877 |
|
|
|
|
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|
Problem 385 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 17 | 17 | 28 | 19 | 173 | 35 | 22 | 27 | 0 |
normalized size | 1 | 1. | 1.65 | 1.12 | 10.18 | 2.06 | 1.29 | 1.59 | 0. |
time (sec) |
N/A |
0.069 |
0.011 |
0.051 |
1.525 |
0.256 |
1.807 |
0.226 |
0. |
|
|
|
|
|
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|
Problem 386 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 21 | 21 | 21 | 18 | 109 | 26 | 0 | 120 | 19 |
normalized size | 1 | 1. | 1. | 0.86 | 5.19 | 1.24 | 0. | 5.71 | 0.9 |
time (sec) |
N/A |
0.084 |
0.015 |
0.072 |
1.62 |
0.261 |
0. |
0.214 |
102.15 |
|
|
|
|
|
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|
Problem 387 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 21 | 21 | 21 | 34 | 174 | 26 | 17 | 41 | 19 |
normalized size | 1 | 1. | 1. | 1.62 | 8.29 | 1.24 | 0.81 | 1.95 | 0.9 |
time (sec) |
N/A |
0.047 |
0.017 |
0.076 |
1.523 |
0.217 |
1.336 |
0.205 |
1.956 |
|
|
|
|
|
|
|
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|
|
Problem 388 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
A |
A |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 26 | 26 | 218 | 28 | 231 | 82 | 0 | 65 | 19 |
normalized size | 1 | 1. | 8.38 | 1.08 | 8.88 | 3.15 | 0. | 2.5 | 0.73 |
time (sec) |
N/A |
0.043 |
0.519 |
0.082 |
1.554 |
0.23 |
0. |
0.216 |
2.307 |
|
|
|
|
|
|
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|
Problem 389 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
A |
A |
F(-1) |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 26 | 26 | 218 | 28 | 231 | 82 | 0 | 65 | 0 |
normalized size | 1 | 1. | 8.38 | 1.08 | 8.88 | 3.15 | 0. | 2.5 | 0. |
time (sec) |
N/A |
0.063 |
0.494 |
0.095 |
1.598 |
0.234 |
0. |
0.22 |
0. |
|
|
|
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Problem 390 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 16 | 16 | 25 | 22 | 73 | 46 | 0 | 0 | 15 |
normalized size | 1 | 1. | 1.56 | 1.38 | 4.56 | 2.88 | 0. | 0. | 0.94 |
time (sec) |
N/A |
0.016 |
0.025 |
0.045 |
1.581 |
0.212 |
0. |
0. |
0.51 |
|
|
|
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Problem 391 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 17 | 17 | 27 | 31 | 74 | 47 | 0 | 0 | 14 |
normalized size | 1 | 1. | 1.59 | 1.82 | 4.35 | 2.76 | 0. | 0. | 0.82 |
time (sec) |
N/A |
0.021 |
0.025 |
0.059 |
1.527 |
0.217 |
0. |
0. |
0.569 |
|
|
|
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Problem 392 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
F |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 27 | 27 | 47 | 9 | 26 | 55 | 0 | 0 | 29 |
normalized size | 1 | 1. | 1.74 | 0.33 | 0.96 | 2.04 | 0. | 0. | 1.07 |
time (sec) |
N/A |
0.023 |
0.026 |
0.033 |
1.738 |
0.217 |
0. |
0. |
0.575 |
|
|
|
|
|
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Problem 393 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 30 | 30 | 33 | 17 | 51 | 72 | 0 | 0 | 31 |
normalized size | 1 | 1. | 1.1 | 0.57 | 1.7 | 2.4 | 0. | 0. | 1.03 |
time (sec) |
N/A |
0.028 |
0.026 |
0.055 |
1.771 |
0.214 |
0. |
0. |
0.608 |
|
|
|
|
|
|
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Problem 394 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 53 | 53 | 61 | 52 | 103 | 144 | 0 | 80 | 48 |
normalized size | 1 | 1. | 1.15 | 0.98 | 1.94 | 2.72 | 0. | 1.51 | 0.91 |
time (sec) |
N/A |
0.049 |
0.186 |
0.081 |
1.616 |
0.216 |
0. |
0.256 |
0.797 |
|
|
|
|
|
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|
Problem 395 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-1) |
A |
F(-1) |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 73 | 73 | 76 | 47 | 0 | 96 | 0 | 0 | 65 |
normalized size | 1 | 1. | 1.04 | 0.64 | 0. | 1.32 | 0. | 0. | 0.89 |
time (sec) |
N/A |
0.062 |
0.132 |
0.069 |
0. |
0.215 |
0. |
0. |
0.871 |
|
|
|
|
|
|
|
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|
|
Problem 396 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
A |
F(-1) |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 55 | 55 | 50 | 0 | 58 | 54 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.91 | 0. | 1.05 | 0.98 | 0. | 0. | 0. |
time (sec) |
N/A |
0.242 |
0.206 |
0.631 |
6.595 |
0.223 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
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|
|
|
Problem 397 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 98 | 98 | 82 | 49 | 108 | 246 | 0 | 108 | 94 |
normalized size | 1 | 1. | 0.84 | 0.5 | 1.1 | 2.51 | 0. | 1.1 | 0.96 |
time (sec) |
N/A |
0.129 |
0.1 |
0.004 |
1.569 |
0.251 |
0. |
0.206 |
7.934 |
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
Problem 398 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 57 | 69 | 121 | 53 | 70 | 70 | 0 | 70 | 63 |
normalized size | 1 | 1.21 | 2.12 | 0.93 | 1.23 | 1.23 | 0. | 1.23 | 1.11 |
time (sec) |
N/A |
0.112 |
0.133 |
0.015 |
1.526 |
0.227 |
0. |
0.204 |
5.31 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 399 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
A |
A |
F |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 87 | 87 | 83 | 130 | 4338 | 618 | 0 | 0 | 92 |
normalized size | 1 | 1. | 0.95 | 1.49 | 49.86 | 7.1 | 0. | 0. | 1.06 |
time (sec) |
N/A |
0.182 |
0.342 |
0.072 |
2.517 |
0.237 |
0. |
0. |
6.778 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 400 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 40 | 40 | 38 | 227 | 41 | 111 | 0 | 42 | 36 |
normalized size | 1 | 1. | 0.95 | 5.68 | 1.02 | 2.78 | 0. | 1.05 | 0.9 |
time (sec) |
N/A |
0.224 |
1.432 |
0.564 |
1.354 |
0.241 |
0. |
0.218 |
7.678 |
|
|
|
|
|
|
|
|
|
|
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|
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|
|
|
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|
|
Problem 401 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
F(-2) |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 84 | 133 | 155 | 97 | 158 | 0 | 0 | 150 | 148 |
normalized size | 1 | 1.58 | 1.85 | 1.15 | 1.88 | 0. | 0. | 1.79 | 1.76 |
time (sec) |
N/A |
0.611 |
0.795 |
0.028 |
1.534 |
0. |
0. |
0.22 |
25.611 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
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|
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|
|
Problem 402 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F(-1) |
A |
F(-1) |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 31 | 266 | 0 | 342 | 0 | 0 | 27 |
normalized size | 1 | 1. | 1. | 8.58 | 0. | 11.03 | 0. | 0. | 0.87 |
time (sec) |
N/A |
0.027 |
0.05 |
0.109 |
0. |
0.257 |
0. |
0. |
1.41 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 403 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F(-1) |
A |
F(-1) |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 29 | 98 | 0 | 342 | 0 | 0 | 27 |
normalized size | 1 | 1. | 0.94 | 3.16 | 0. | 11.03 | 0. | 0. | 0.87 |
time (sec) |
N/A |
0.027 |
0.034 |
0.112 |
0. |
0.253 |
0. |
0. |
1.383 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 404 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
F(-1) |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 45 | 45 | 41 | 171 | 1 | 360 | 0 | 0 | 41 |
normalized size | 1 | 1. | 0.91 | 3.8 | 0.02 | 8. | 0. | 0. | 0.91 |
time (sec) |
N/A |
0.048 |
0.045 |
0.127 |
12.227 |
0.26 |
0. |
0. |
2.275 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 405 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
F(-1) |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 47 | 47 | 43 | 442 | 1 | 181 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.91 | 9.4 | 0.02 | 3.85 | 0. | 0. | 0. |
time (sec) |
N/A |
0.145 |
0.067 |
0.207 |
20.906 |
0.248 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 406 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F(-1) |
A |
F(-1) |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 61 | 61 | 50 | 510 | 0 | 409 | 0 | 0 | 56 |
normalized size | 1 | 1. | 0.82 | 8.36 | 0. | 6.7 | 0. | 0. | 0.92 |
time (sec) |
N/A |
0.124 |
0.125 |
0.183 |
0. |
0.27 |
0. |
0. |
5.613 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 407 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F(-1) |
A |
F(-1) |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 61 | 61 | 56 | 1108 | 0 | 452 | 0 | 0 | 56 |
normalized size | 1 | 1. | 0.92 | 18.16 | 0. | 7.41 | 0. | 0. | 0.92 |
time (sec) |
N/A |
0.124 |
0.102 |
0.199 |
0. |
0.296 |
0. |
0. |
5.741 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 408 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
F(-1) |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 16 | 16 | 16 | 508 | 2002 | 38 | 0 | 0 | 15 |
normalized size | 1 | 1. | 1. | 31.75 | 125.12 | 2.38 | 0. | 0. | 0.94 |
time (sec) |
N/A |
0.034 |
0.037 |
0.167 |
2.209 |
0.225 |
0. |
0. |
1.909 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 409 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
F(-1) |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 20 | 286 | 2726 | 32 | 0 | 0 | 29 |
normalized size | 1 | 1. | 0.65 | 9.23 | 87.94 | 1.03 | 0. | 0. | 0.94 |
time (sec) |
N/A |
0.061 |
0.033 |
0.153 |
3.194 |
0.225 |
0. |
0. |
3.29 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 410 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
F(-1) |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 29 | 29 | 24 | 121 | 1446 | 42 | 0 | 0 | 29 |
normalized size | 1 | 1. | 0.83 | 4.17 | 49.86 | 1.45 | 0. | 0. | 1. |
time (sec) |
N/A |
0.069 |
0.039 |
0.098 |
2.033 |
0.224 |
0. |
0. |
3.443 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 411 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F(-2) |
A |
F(-1) |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 68 | 95 | 150 | 761 | 0 | 173 | 0 | 0 | 0 |
normalized size | 1 | 1.4 | 2.21 | 11.19 | 0. | 2.54 | 0. | 0. | 0. |
time (sec) |
N/A |
1.403 |
7.452 |
0.401 |
0. |
0.257 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 412 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 19 | 29 | 19 | 16 | 8 | 20 | 0 | 0 | 20 |
normalized size | 1 | 1.53 | 1. | 0.84 | 0.42 | 1.05 | 0. | 0. | 1.05 |
time (sec) |
N/A |
0.221 |
0.013 |
0.201 |
1.545 |
0.222 |
0. |
0. |
1.652 |
|
|
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|
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Problem 413 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
B |
A |
C |
A |
A |
F |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 92 | 204 | 66 | 310 | 127 | 1338 | 0 | 0 | 257 |
normalized size | 1 | 2.22 | 0.72 | 3.37 | 1.38 | 14.54 | 0. | 0. | 2.79 |
time (sec) |
N/A |
0.422 |
0.108 |
0.207 |
1.598 |
0.74 |
0. |
0. |
9.695 |
|
|
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Problem 414 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
A |
F(-1) |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 47 | 47 | 29 | 0 | 18 | 39 | 0 | 0 | 44 |
normalized size | 1 | 1. | 0.62 | 0. | 0.38 | 0.83 | 0. | 0. | 0.94 |
time (sec) |
N/A |
0.234 |
0.035 |
0.542 |
1.815 |
0.214 |
0. |
0. |
1.758 |
|
|
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Problem 415 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
A |
F(-1) |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 70 | 70 | 35 | 0 | 104 | 136 | 0 | 0 | 51 |
normalized size | 1 | 1. | 0.5 | 0. | 1.49 | 1.94 | 0. | 0. | 0.73 |
time (sec) |
N/A |
0.317 |
0.087 |
0.441 |
1.601 |
0.222 |
0. |
0. |
1.798 |
|
|
|
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Problem 416 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
B |
C |
C |
A |
A |
F(-1) |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 108 | 234 | 105 | 244 | 258 | 761 | 0 | 0 | 0 |
normalized size | 1 | 2.17 | 0.97 | 2.26 | 2.39 | 7.05 | 0. | 0. | 0. |
time (sec) |
N/A |
2.769 |
0.364 |
0.488 |
1.758 |
0.531 |
0. |
0. |
0. |
|
|
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Problem 417 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
A |
F(-2) |
F(-1) |
F |
F(-1) |
verified |
N/A |
NO |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 364 | 665 | 2057 | 22888 | 159 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1.83 | 5.65 | 62.88 | 0.44 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
8.699 |
20.813 |
4.821 |
1.628 |
0. |
0. |
0. |
0. |
|
|
|
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Problem 418 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
A |
F(-1) |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 125 | 141 | 58 | 0 | 81 | 76 | 0 | 0 | 0 |
normalized size | 1 | 1.13 | 0.46 | 0. | 0.65 | 0.61 | 0. | 0. | 0. |
time (sec) |
N/A |
1.708 |
0.454 |
0.808 |
1.701 |
0.231 |
0. |
0. |
0. |
|
|
|
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Problem 419 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 73 | 67 | 61 | 56 | 74 | 147 | 0 | 74 | 73 |
normalized size | 1 | 0.92 | 0.84 | 0.77 | 1.01 | 2.01 | 0. | 1.01 | 1. |
time (sec) |
N/A |
0.076 |
0.179 |
0.02 |
1.532 |
0.253 |
0. |
0.22 |
2.845 |
|
|
|
|
|
|
|
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Problem 420 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 69 | 69 | 55 | 103 | 72 | 162 | 0 | 55 | 70 |
normalized size | 1 | 1. | 0.8 | 1.49 | 1.04 | 2.35 | 0. | 0.8 | 1.01 |
time (sec) |
N/A |
0.085 |
0.127 |
0.136 |
1.557 |
0.283 |
0. |
0.212 |
179.512 |
|
|
|
|
|
|
|
|
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|
Problem 421 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 58 | 58 | 50 | 82 | 49 | 528 | 0 | 41 | 61 |
normalized size | 1 | 1. | 0.86 | 1.41 | 0.84 | 9.1 | 0. | 0.71 | 1.05 |
time (sec) |
N/A |
0.083 |
0.108 |
0.135 |
1.596 |
0.22 |
0. |
0.211 |
163.063 |
|
|
|
|
|
|
|
|
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|
Problem 422 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 55 | 55 | 37 | 44 | 58 | 69 | 0 | 41 | 49 |
normalized size | 1 | 1. | 0.67 | 0.8 | 1.05 | 1.25 | 0. | 0.75 | 0.89 |
time (sec) |
N/A |
0.084 |
0.113 |
0.043 |
1.352 |
0.25 |
0. |
0.213 |
90.338 |
|
|
|
|
|
|
|
|
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|
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Problem 423 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
F(-1) |
A |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 39 | 39 | 54 | 58 | 967 | 127 | 0 | 51 | 0 |
normalized size | 1 | 1. | 1.38 | 1.49 | 24.79 | 3.26 | 0. | 1.31 | 0. |
time (sec) |
N/A |
0.112 |
0.291 |
0.164 |
1.786 |
0.245 |
0. |
0.217 |
0. |
|
|
|
|
|
|
|
|
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|
Problem 424 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
A |
A |
F(-1) |
A |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 48 | 48 | 63 | 53 | 93 | 217 | 0 | 54 | 0 |
normalized size | 1 | 1. | 1.31 | 1.1 | 1.94 | 4.52 | 0. | 1.12 | 0. |
time (sec) |
N/A |
0.124 |
0.413 |
0.106 |
1.53 |
0.252 |
0. |
0.212 |
0. |
|
|
|
|
|
|
|
|
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|
Problem 425 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 49 | 49 | 59 | 46 | 259 | 1 | 0 | 45 | 0 |
normalized size | 1 | 1. | 1.2 | 0.94 | 5.29 | 0.02 | 0. | 0.92 | 0. |
time (sec) |
N/A |
0.178 |
0.506 |
0.058 |
1.444 |
0.238 |
0. |
0.204 |
0. |
|
|
|
|
|
|
|
|
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|
Problem 426 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
A |
A |
F(-1) |
A |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 111 | 119 | 338 | 130 | 155 | 1 | 0 | 356 | 0 |
normalized size | 1 | 1.07 | 3.05 | 1.17 | 1.4 | 0.01 | 0. | 3.21 | 0. |
time (sec) |
N/A |
1. |
3.772 |
0.266 |
1.551 |
1.422 |
0. |
0.435 |
0. |
|
|
|
|
|
|
|
|
|
|
|
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|
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|
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|
|
Problem 427 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F(-1) |
A |
F |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 112 | 112 | 131 | 98136 | 0 | 340 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.17 | 876.21 | 0. | 3.04 | 0. | 0. | 0. |
time (sec) |
N/A |
0.819 |
0.351 |
4.377 |
0. |
0.277 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
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|
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|
|
Problem 428 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 33 | 33 | 64 | 38 | 34 | 35 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.94 | 1.15 | 1.03 | 1.06 | 0. | 0. | 0. |
time (sec) |
N/A |
0.111 |
0.159 |
0.142 |
1.483 |
0.233 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
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Problem 429 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
F |
A |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 33 | 33 | 33 | 62 | 659 | 96 | 0 | 36 | 0 |
normalized size | 1 | 1. | 1. | 1.88 | 19.97 | 2.91 | 0. | 1.09 | 0. |
time (sec) |
N/A |
0.038 |
0.071 |
0.086 |
1.951 |
0.238 |
0. |
0.208 |
0. |
|
|
|
|
|
|
|
|
|
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|
|
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|
Problem 430 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 55 | 55 | 49 | 55 | 1067 | 142 | 0 | 65 | 65 |
normalized size | 1 | 1. | 0.89 | 1. | 19.4 | 2.58 | 0. | 1.18 | 1.18 |
time (sec) |
N/A |
0.057 |
0.121 |
0.06 |
2.282 |
0.243 |
0. |
0.218 |
112.273 |
|
|
|
|
|
|
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|
Problem 431 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 16 | 16 | 16 | 39 | 122 | 53 | 0 | 62 | 15 |
normalized size | 1 | 1. | 1. | 2.44 | 7.62 | 3.31 | 0. | 3.88 | 0.94 |
time (sec) |
N/A |
0.024 |
0.037 |
0.106 |
1.993 |
0.245 |
0. |
0.262 |
1.318 |
|
|
|
|
|
|
|
|
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|
|
Problem 432 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
A |
F(-1) |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 49 | 49 | 49 | 100 | 0 | 147 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 2.04 | 0. | 3. | 0. | 0. | 0. |
time (sec) |
N/A |
0.144 |
0.119 |
0.111 |
0. |
0.248 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
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|
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|
|
Problem 433 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
F(-1) |
A |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 87 | 91 | 62 | 180 | 1832 | 223 | 0 | 74 | 0 |
normalized size | 1 | 1.05 | 0.71 | 2.07 | 21.06 | 2.56 | 0. | 0.85 | 0. |
time (sec) |
N/A |
0.364 |
0.238 |
0.233 |
2.231 |
5.995 |
0. |
0.225 |
0. |
|
|
|
|
|
|
|
|
|
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|
|
Problem 434 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F(-1) |
A |
F |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 68 | 68 | 115 | 754 | 0 | 279 | 0 | 0 | 73 |
normalized size | 1 | 1. | 1.69 | 11.09 | 0. | 4.1 | 0. | 0. | 1.07 |
time (sec) |
N/A |
0.129 |
0.278 |
0.572 |
0. |
0.24 |
0. |
0. |
8.194 |
|
|
|
|
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|
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Problem 435 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F(-1) |
A |
F |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 40 | 40 | 64 | 473 | 0 | 207 | 0 | 0 | 41 |
normalized size | 1 | 1. | 1.6 | 11.82 | 0. | 5.18 | 0. | 0. | 1.02 |
time (sec) |
N/A |
0.064 |
0.119 |
0.316 |
0. |
0.257 |
0. |
0. |
4.079 |
|
|
|
|
|
|
|
|
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Problem 436 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F(-1) |
A |
F(-1) |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 94 | 94 | 75 | 975 | 0 | 131 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.8 | 10.37 | 0. | 1.39 | 0. | 0. | 0. |
time (sec) |
N/A |
0.353 |
0.515 |
0.76 |
0. |
0.296 |
0. |
0. |
0. |
|
|
|
|
|
|
|
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Problem 437 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 39 | 39 | 33 | 61 | 85 | 45 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.85 | 1.56 | 2.18 | 1.15 | 0. | 0. | 0. |
time (sec) |
N/A |
0.267 |
0.123 |
0.639 |
2.945 |
0.228 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
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Problem 438 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
F(-1) |
A |
F(-1) |
A |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 73 | 73 | 234 | 1597 | 0 | 358 | 0 | 231 | 0 |
normalized size | 1 | 1. | 3.21 | 21.88 | 0. | 4.9 | 0. | 3.16 | 0. |
time (sec) |
N/A |
2.212 |
2.171 |
0.345 |
0. |
0.314 |
0. |
0.325 |
0. |
|
|
|
|
|
|
|
|
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|
Problem 439 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
A |
A |
F(-1) |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 57 | 57 | 116 | 117 | 63 | 113 | 0 | 0 | 0 |
normalized size | 1 | 1. | 2.04 | 2.05 | 1.11 | 1.98 | 0. | 0. | 0. |
time (sec) |
N/A |
1.36 |
1.365 |
0.52 |
1.524 |
0.239 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
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Problem 440 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 66 | 66 | 82 | 61 | 0 | 68 | 0 | 70 | 58 |
normalized size | 1 | 1. | 1.24 | 0.92 | 0. | 1.03 | 0. | 1.06 | 0.88 |
time (sec) |
N/A |
0.138 |
0.593 |
0.033 |
0. |
0.247 |
0. |
0.205 |
7.642 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
Problem 441 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 54 | 54 | 71 | 41 | 0 | 103 | 0 | 49 | 46 |
normalized size | 1 | 1. | 1.31 | 0.76 | 0. | 1.91 | 0. | 0.91 | 0.85 |
time (sec) |
N/A |
0.12 |
0.536 |
0.026 |
0. |
0.25 |
0. |
0.203 |
6.855 |
|
|
|
|
|
|
|
|
|
|
|
|
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|
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|
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|
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|
|
Problem 442 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
A |
F(-1) |
F |
F(-2) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 133 | 133 | 90 | 0 | 14 | 0 | 0 | 0 | 167 |
normalized size | 1 | 1. | 0.68 | 0. | 0.11 | 0. | 0. | 0. | 1.26 |
time (sec) |
N/A |
0.29 |
1.5 |
0.152 |
15.211 |
0. |
0. |
0. |
14.906 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
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|
|
|
|
Problem 443 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F(-1) |
F(-1) |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 69 | 69 | 42 | 0 | 0 | 0 | 0 | 107 | 70 |
normalized size | 1 | 1. | 0.61 | 0. | 0. | 0. | 0. | 1.55 | 1.01 |
time (sec) |
N/A |
0.162 |
0.102 |
0.066 |
0. |
0. |
0. |
0.231 |
6.7 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 444 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
A |
F(-1) |
F |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 52 | 52 | 84 | 0 | 96 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.62 | 0. | 1.85 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.138 |
0.229 |
0.144 |
1.546 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 445 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
A |
F(-1) |
F |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 54 | 54 | 85 | 0 | 100 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.57 | 0. | 1.85 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.143 |
0.228 |
0.132 |
1.495 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 446 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F(-1) |
F(-1) |
F(-1) |
F |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 133 | 174 | 4397 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1.31 | 33.06 | 0. | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
8.932 |
71.146 |
4.865 |
0. |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
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|
|
Problem 447 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
B |
C |
B |
F(-1) |
A |
F(-1) |
A |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 100 | 208 | 207 | 559 | 0 | 498 | 0 | 265 | 0 |
normalized size | 1 | 2.08 | 2.07 | 5.59 | 0. | 4.98 | 0. | 2.65 | 0. |
time (sec) |
N/A |
1.927 |
2.553 |
0.748 |
0. |
0.337 |
0. |
0.337 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 448 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
A |
A |
F(-1) |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 112 | 112 | 71 | 137 | 184 | 224 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.63 | 1.22 | 1.64 | 2. | 0. | 0. | 0. |
time (sec) |
N/A |
0.288 |
0.321 |
0.042 |
1.791 |
0.267 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 449 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
A |
F(-1) |
F(-1) |
A |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 95 | 162 | 924 | 0 | 196 | 0 | 0 | 197 | 0 |
normalized size | 1 | 1.71 | 9.73 | 0. | 2.06 | 0. | 0. | 2.07 | 0. |
time (sec) |
N/A |
0.473 |
25.416 |
0.145 |
1.52 |
0. |
0. |
0.242 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 450 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
A |
F(-1) |
A |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 49 | 49 | 30 | 0 | 50 | 62 | 0 | 50 | 0 |
normalized size | 1 | 1. | 0.61 | 0. | 1.02 | 1.27 | 0. | 1.02 | 0. |
time (sec) |
N/A |
0.162 |
23.791 |
0.272 |
1.356 |
0.29 |
0. |
0.204 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 451 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
A |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 20 | 20 | 42 | 26 | 116 | 47 | 0 | 34 | 19 |
normalized size | 1 | 1. | 2.1 | 1.3 | 5.8 | 2.35 | 0. | 1.7 | 0.95 |
time (sec) |
N/A |
0.343 |
0.179 |
0.033 |
1.554 |
0.229 |
0. |
0.222 |
11.146 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 452 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F(-1) |
A |
F(-1) |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 27 | 35 | 93 | 0 | 0 | 126 | 0 | 55 | 0 |
normalized size | 1 | 1.3 | 3.44 | 0. | 0. | 4.67 | 0. | 2.04 | 0. |
time (sec) |
N/A |
1.632 |
4.673 |
0.471 |
0. |
1.291 |
0. |
0.23 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 453 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
A |
A |
F(-1) |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 101 | 126 | 158 | 0 | 138 | 687 | 0 | 0 | 0 |
normalized size | 1 | 1.25 | 1.56 | 0. | 1.37 | 6.8 | 0. | 0. | 0. |
time (sec) |
N/A |
2.302 |
4.498 |
0.892 |
1.552 |
62.177 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 454 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
A |
A |
F(-1) |
A |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 25 | 25 | 140 | 0 | 1392 | 35 | 0 | 34 | 0 |
normalized size | 1 | 1. | 5.6 | 0. | 55.68 | 1.4 | 0. | 1.36 | 0. |
time (sec) |
N/A |
0.098 |
0.519 |
0.254 |
1.965 |
0.223 |
0. |
0.22 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 455 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F(-1) |
F(-1) |
F(-1) |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 102 | 154 | 59 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1.51 | 0.58 | 0. | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.357 |
2.74 |
0.352 |
0. |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 456 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
A |
A |
F |
A |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 17 | 18 | 45 | 88 | 350 | 85 | 0 | 115 | 0 |
normalized size | 1 | 1.06 | 2.65 | 5.18 | 20.59 | 5. | 0. | 6.76 | 0. |
time (sec) |
N/A |
0.053 |
0.079 |
0.158 |
1.68 |
0.241 |
0. |
0.25 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 457 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F(-2) |
A |
F |
F(-2) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 32 | 32 | 52 | 240 | 0 | 107 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.62 | 7.5 | 0. | 3.34 | 0. | 0. | 0. |
time (sec) |
N/A |
0.079 |
0.075 |
0.451 |
0. |
0.234 |
0. |
0. |
0. |
|
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Problem 458 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 31 | 24 | 36 | 41 | 24 | 43 | 27 |
normalized size | 1 | 1. | 1. | 0.77 | 1.16 | 1.32 | 0.77 | 1.39 | 0.87 |
time (sec) |
N/A |
0.034 |
0.006 |
0.011 |
1.429 |
0.429 |
0.132 |
0.202 |
2.502 |
|
|
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Problem 459 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 39 | 39 | 39 | 29 | 41 | 50 | 34 | 41 | 34 |
normalized size | 1 | 1. | 1. | 0.74 | 1.05 | 1.28 | 0.87 | 1.05 | 0.87 |
time (sec) |
N/A |
0.036 |
0.021 |
0.008 |
1.585 |
0.2 |
0.16 |
0.203 |
3.248 |
|
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Problem 460 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 58 | 58 | 40 | 60 | 62 | 99 | 41 | 57 | 42 |
normalized size | 1 | 1. | 0.69 | 1.03 | 1.07 | 1.71 | 0.71 | 0.98 | 0.72 |
time (sec) |
N/A |
0.062 |
0.026 |
0.02 |
1.335 |
0.198 |
0.199 |
0.205 |
3.242 |
|
|
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Problem 461 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 52 | 52 | 46 | 37 | 45 | 212 | 986 | 47 | 46 |
normalized size | 1 | 1. | 0.88 | 0.71 | 0.87 | 4.08 | 18.96 | 0.9 | 0.88 |
time (sec) |
N/A |
0.053 |
0.076 |
0.01 |
1.532 |
0.209 |
10.665 |
0.204 |
2.724 |
|
|
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Problem 462 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 61 | 61 | 47 | 46 | 57 | 217 | 167 | 62 | 54 |
normalized size | 1 | 1. | 0.77 | 0.75 | 0.93 | 3.56 | 2.74 | 1.02 | 0.89 |
time (sec) |
N/A |
0.069 |
0.032 |
0.009 |
1.49 |
0.21 |
21.991 |
0.202 |
3.163 |
|
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Problem 463 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 16 | 16 | 15 | 15 | 0 | 20 | 19 | 19 | 10 |
normalized size | 1 | 1. | 0.94 | 0.94 | 0. | 1.25 | 1.19 | 1.19 | 0.62 |
time (sec) |
N/A |
0.008 |
0.004 |
0.003 |
0. |
0.22 |
0.038 |
0.198 |
0.64 |
|
|
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Problem 464 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 36 | 33 | 47 | 66 | 32 | 49 | 32 |
normalized size | 1 | 1. | 0.78 | 0.72 | 1.02 | 1.43 | 0.7 | 1.07 | 0.7 |
time (sec) |
N/A |
0.05 |
0.02 |
0.013 |
1.343 |
0.198 |
0.138 |
0.199 |
2.839 |
|
|
|
|
|
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|
Problem 465 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 40 | 40 | 23 | 58 | 49 | 49 | 34 | 28 | 29 |
normalized size | 1 | 1. | 0.57 | 1.45 | 1.22 | 1.22 | 0.85 | 0.7 | 0.72 |
time (sec) |
N/A |
0.077 |
0.013 |
0.014 |
1.36 |
0.194 |
0.194 |
0.201 |
5.077 |
|
|
|
|
|
|
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|
Problem 466 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 27 | 27 | 20 | 17 | 26 | 28 | 41 | 26 | 22 |
normalized size | 1 | 1. | 0.74 | 0.63 | 0.96 | 1.04 | 1.52 | 0.96 | 0.81 |
time (sec) |
N/A |
0.027 |
0.008 |
0.006 |
1.328 |
0.203 |
74.162 |
0.201 |
1.799 |
|
|
|
|
|
|
|
|
|
|
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|
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|
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|
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|
|
Problem 467 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 38 | 38 | 25 | 28 | 38 | 28 | 82 | 35 | 32 |
normalized size | 1 | 1. | 0.66 | 0.74 | 1. | 0.74 | 2.16 | 0.92 | 0.84 |
time (sec) |
N/A |
0.038 |
0.015 |
0.005 |
1.342 |
0.202 |
11.751 |
0.201 |
2.269 |
|
|
|
|
|
|
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|
Problem 468 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 33 | 33 | 23 | 20 | 34 | 112 | 61 | 26 | 27 |
normalized size | 1 | 1. | 0.7 | 0.61 | 1.03 | 3.39 | 1.85 | 0.79 | 0.82 |
time (sec) |
N/A |
0.012 |
0.013 |
0.004 |
1.343 |
0.202 |
14.553 |
0.202 |
0.597 |
|
|
|
|
|
|
|
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|
|
Problem 469 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 43 | 43 | 26 | 23 | 69 | 123 | 0 | 28 | 36 |
normalized size | 1 | 1. | 0.6 | 0.53 | 1.6 | 2.86 | 0. | 0.65 | 0.84 |
time (sec) |
N/A |
0.016 |
0.018 |
0.003 |
1.397 |
0.203 |
0. |
0.21 |
0.741 |
|
|
|
|
|
|
|
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|
|
Problem 470 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 47 | 47 | 28 | 23 | 47 | 76 | 153 | 84 | 39 |
normalized size | 1 | 1. | 0.6 | 0.49 | 1. | 1.62 | 3.26 | 1.79 | 0.83 |
time (sec) |
N/A |
0.028 |
0.015 |
0.005 |
1.52 |
0.204 |
9.773 |
0.234 |
2.015 |
|
|
|
|
|
|
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|
|
Problem 471 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 28 | 28 | 19 | 16 | 22 | 20 | 24 | 22 | 24 |
normalized size | 1 | 1. | 0.68 | 0.57 | 0.79 | 0.71 | 0.86 | 0.79 | 0.86 |
time (sec) |
N/A |
0.015 |
0.008 |
0.005 |
1.397 |
0.199 |
17.424 |
0.211 |
1.482 |
|
|
|
|
|
|
|
|
|
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|
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|
|
Problem 472 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 52 | 52 | 49 | 47 | 72 | 100 | 49 | 78 | 49 |
normalized size | 1 | 1. | 0.94 | 0.9 | 1.38 | 1.92 | 0.94 | 1.5 | 0.94 |
time (sec) |
N/A |
0.057 |
0.051 |
0.019 |
1.361 |
0.197 |
0.243 |
0.229 |
3.157 |
|
|
|
|
|
|
|
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|
|
Problem 473 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F(-1) |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 25 | 25 | 25 | 22 | 0 | 28 | 0 | 0 | 24 |
normalized size | 1 | 1. | 1. | 0.88 | 0. | 1.12 | 0. | 0. | 0.96 |
time (sec) |
N/A |
0.086 |
0.02 |
0.006 |
0. |
0.414 |
0. |
0. |
4.459 |
|
|
|
|
|
|
|
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|
|
Problem 474 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
F(-1) |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 50 | 50 | 35 | 28 | 107 | 0 | 0 | 132 | 37 |
normalized size | 1 | 1. | 0.7 | 0.56 | 2.14 | 0. | 0. | 2.64 | 0.74 |
time (sec) |
N/A |
0.062 |
0.083 |
0.047 |
1.501 |
0. |
0. |
0.292 |
2.232 |
|
|
|
|
|
|
|
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|
Problem 475 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 24 | 24 | 24 | 22 | 28 | 55 | 49 | 39 | 19 |
normalized size | 1 | 1. | 1. | 0.92 | 1.17 | 2.29 | 2.04 | 1.62 | 0.79 |
time (sec) |
N/A |
0.019 |
0.033 |
0.008 |
1.512 |
0.212 |
0.985 |
0.209 |
1.62 |
|
|
|
|
|
|
|
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|
|
Problem 476 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 40 | 40 | 34 | 58 | 61 | 167 | 32 | 104 | 27 |
normalized size | 1 | 1. | 0.85 | 1.45 | 1.52 | 4.18 | 0.8 | 2.6 | 0.68 |
time (sec) |
N/A |
0.027 |
0.029 |
0.008 |
1.552 |
0.212 |
4.153 |
0.239 |
2.415 |
|
|
|
|
|
|
|
|
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|
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|
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|
|
Problem 477 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 49 | 49 | 28 | 25 | 50 | 165 | 0 | 47 | 42 |
normalized size | 1 | 1. | 0.57 | 0.51 | 1.02 | 3.37 | 0. | 0.96 | 0.86 |
time (sec) |
N/A |
0.019 |
0.02 |
0.005 |
1.429 |
0.206 |
0. |
0.208 |
0.761 |
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
Problem 478 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 47 | 47 | 29 | 28 | 80 | 63 | 0 | 47 | 37 |
normalized size | 1 | 1. | 0.62 | 0.6 | 1.7 | 1.34 | 0. | 1. | 0.79 |
time (sec) |
N/A |
0.019 |
0.027 |
0.005 |
1.495 |
0.211 |
0. |
0.244 |
0.821 |
|
|
|
|
|
|
|
|
|
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|
|
|
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|
|
Problem 479 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 36 | 36 | 33 | 43 | 1 | 34 | 43 | 0 |
normalized size | 1 | 1. | 1. | 0.92 | 1.19 | 0.03 | 0.94 | 1.19 | 0. |
time (sec) |
N/A |
0.025 |
0.002 |
0.003 |
1.767 |
0.174 |
0.038 |
0.204 |
0. |
|
|
|
|
|
|
|
|
|
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|
|
|
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|
|
|
Problem 480 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 39 | 39 | 39 | 30 | 39 | 1 | 34 | 39 | 0 |
normalized size | 1 | 1. | 1. | 0.77 | 1. | 0.03 | 0.87 | 1. | 0. |
time (sec) |
N/A |
0.035 |
0.002 |
0.003 |
1.767 |
0.176 |
0.043 |
0.2 |
0. |
|
|
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Problem 481 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 47 | 47 | 33 | 30 | 80 | 186 | 0 | 36 | 39 |
normalized size | 1 | 1. | 0.7 | 0.64 | 1.7 | 3.96 | 0. | 0.77 | 0.83 |
time (sec) |
N/A |
0.028 |
0.027 |
0.006 |
1.386 |
0.21 |
0. |
0.21 |
2.307 |
|
|
|
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Problem 482 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 45 | 45 | 33 | 30 | 103 | 186 | 0 | 55 | 58 |
normalized size | 1 | 1. | 0.73 | 0.67 | 2.29 | 4.13 | 0. | 1.22 | 1.29 |
time (sec) |
N/A |
0.042 |
0.039 |
0.009 |
1.351 |
0.206 |
0. |
0.214 |
6.49 |
|
|
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Problem 483 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 83 | 83 | 67 | 70 | 74 | 77 | 112 | 74 | 90 |
normalized size | 1 | 1. | 0.81 | 0.84 | 0.89 | 0.93 | 1.35 | 0.89 | 1.08 |
time (sec) |
N/A |
0.137 |
0.065 |
0.02 |
1.444 |
0.226 |
5.722 |
0.237 |
4.033 |
|
|
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Problem 484 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 73 | 73 | 51 | 57 | 66 | 70 | 92 | 66 | 78 |
normalized size | 1 | 1. | 0.7 | 0.78 | 0.9 | 0.96 | 1.26 | 0.9 | 1.07 |
time (sec) |
N/A |
0.124 |
0.139 |
0.037 |
1.348 |
0.222 |
3.179 |
0.224 |
3.742 |
|
|
|
|
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Problem 485 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 105 | 105 | 70 | 96 | 89 | 97 | 192 | 89 | 114 |
normalized size | 1 | 1. | 0.67 | 0.91 | 0.85 | 0.92 | 1.83 | 0.85 | 1.09 |
time (sec) |
N/A |
0.165 |
0.116 |
0.043 |
1.371 |
0.229 |
9.788 |
0.234 |
4.215 |
|
|
|
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|
Problem 486 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 44 | 44 | 39 | 32 | 47 | 49 | 53 | 47 | 46 |
normalized size | 1 | 1. | 0.89 | 0.73 | 1.07 | 1.11 | 1.2 | 1.07 | 1.05 |
time (sec) |
N/A |
0.064 |
0.2 |
0.006 |
1.36 |
0.22 |
1.688 |
0.197 |
2.848 |
|
|
|
|
|
|
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|
|
Problem 487 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 33 | 33 | 33 | 111 | 0 | 61 | 507 | 278 | 0 |
normalized size | 1 | 1. | 1. | 3.36 | 0. | 1.85 | 15.36 | 8.42 | 0. |
time (sec) |
N/A |
0.075 |
0.014 |
0.16 |
0. |
0.235 |
4.868 |
0.229 |
0. |
|
|
|
|
|
|
|
|
|
|
|
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|
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|
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|
|
|
|
Problem 488 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 30 | 30 | 104 | 30 | 836 | 63 | 551 | 460 | 0 |
normalized size | 1 | 1. | 3.47 | 1. | 27.87 | 2.1 | 18.37 | 15.33 | 0. |
time (sec) |
N/A |
0.061 |
0.183 |
0.174 |
1.584 |
0.229 |
3.746 |
0.437 |
0. |
|
|
|
|
|
|
|
|
|
|
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|
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|
|
Problem 489 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 16 | 16 | 16 | 13 | 178 | 20 | 128 | 72 | 15 |
normalized size | 1 | 1. | 1. | 0.81 | 11.12 | 1.25 | 8. | 4.5 | 0.94 |
time (sec) |
N/A |
0.029 |
0.008 |
0.009 |
1.338 |
0.237 |
2.002 |
0.204 |
1.402 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 490 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 62 | 62 | 57 | 55 | 89 | 304 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.92 | 0.89 | 1.44 | 4.9 | 0. | 0. | 0. |
time (sec) |
N/A |
0.11 |
0.014 |
0.077 |
2.521 |
0.283 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
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|
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|
|
Problem 491 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 59 | 59 | 54 | 59 | 288 | 338 | 0 | 0 | 48 |
normalized size | 1 | 1. | 0.92 | 1. | 4.88 | 5.73 | 0. | 0. | 0.81 |
time (sec) |
N/A |
0.099 |
0.013 |
0.116 |
1.897 |
0.278 |
0. |
0. |
13.223 |
|
|
|
|
|
|
|
|
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|
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|
|
|
|
|
|
Problem 492 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
F(-1) |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 12 | 12 | 14 | 44 | 105 | 18 | 0 | 14 | 0 |
normalized size | 1 | 1. | 1.17 | 3.67 | 8.75 | 1.5 | 0. | 1.17 | 0. |
time (sec) |
N/A |
0.163 |
0.054 |
0.879 |
3.325 |
0.224 |
0. |
0.232 |
0. |
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 493 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 20 | 20 | 19 | 37 | 93 | 26 | 66 | 53 | 0 |
normalized size | 1 | 1. | 0.95 | 1.85 | 4.65 | 1.3 | 3.3 | 2.65 | 0. |
time (sec) |
N/A |
0.056 |
0.063 |
0.29 |
1.374 |
0.211 |
4.858 |
0.202 |
0. |
|
|
|
|
|
|
|
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|
|
Problem 494 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 22 | 22 | 22 | 23 | 0 | 30 | 42 | 439 | 22 |
normalized size | 1 | 1. | 1. | 1.05 | 0. | 1.36 | 1.91 | 19.95 | 1. |
time (sec) |
N/A |
0.044 |
0.007 |
0.009 |
0. |
0.218 |
1.026 |
0.224 |
2.163 |
|
|
|
|
|
|
|
|
|
|
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|
|
|
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|
|
|
|
Problem 495 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
F(-1) |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 34 | 41 | 40 | 65 | 0 | 70 | 0 | 589 | 0 |
normalized size | 1 | 1.21 | 1.18 | 1.91 | 0. | 2.06 | 0. | 17.32 | 0. |
time (sec) |
N/A |
0.319 |
0.054 |
0.026 |
0. |
0.211 |
0. |
0.295 |
0. |
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 496 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 9 | 9 | 9 | 8 | 9 | 15 | 7 | 9 | 7 |
normalized size | 1 | 1. | 1. | 0.89 | 1. | 1.67 | 0.78 | 1. | 0.78 |
time (sec) |
N/A |
0.007 |
0.006 |
0.002 |
1.363 |
0.204 |
0.071 |
0.222 |
0.638 |
|
|
|
|
|
|
|
|
|
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|
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|
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|
|
Problem 497 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 22 | 22 | 22 | 19 | 22 | 28 | 17 | 32 | 20 |
normalized size | 1 | 1. | 1. | 0.86 | 1. | 1.27 | 0.77 | 1.45 | 0.91 |
time (sec) |
N/A |
0.039 |
0.009 |
0.008 |
1.384 |
0.206 |
0.102 |
0.219 |
3.535 |
|
|
|
|
|
|
|
|
|
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|
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|
|
Problem 498 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 30 | 24 | 31 | 32 | 24 | 34 | 24 |
normalized size | 1 | 1. | 0.97 | 0.77 | 1. | 1.03 | 0.77 | 1.1 | 0.77 |
time (sec) |
N/A |
0.038 |
0.012 |
0.009 |
1.355 |
0.201 |
0.131 |
0.2 |
3.536 |
|
|
|
|
|
|
|
|
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|
|
Problem 499 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 36 | 34 | 31 | 38 | 42 | 31 | 49 | 0 |
normalized size | 1 | 1. | 0.94 | 0.86 | 1.06 | 1.17 | 0.86 | 1.36 | 0. |
time (sec) |
N/A |
0.052 |
0.023 |
0.01 |
1.352 |
0.204 |
0.154 |
0.198 |
0. |
|
|
|
|
|
|
|
|
|
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|
|
Problem 500 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 48 | 52 | 52 | 0 | 0 | 0 | 0 | 0 | 48 |
normalized size | 1 | 1.08 | 1.08 | 0. | 0. | 0. | 0. | 0. | 1. |
time (sec) |
N/A |
0.086 |
0.038 |
0.171 |
0. |
0. |
0. |
0. |
5.603 |
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
Problem 501 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 43 | 43 | 33 | 56 | 50 | 53 | 54 | 62 | 44 |
normalized size | 1 | 1. | 0.77 | 1.3 | 1.16 | 1.23 | 1.26 | 1.44 | 1.02 |
time (sec) |
N/A |
0.058 |
0.046 |
0.03 |
1.375 |
0.217 |
0.297 |
0.203 |
4.755 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 502 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 27 | 27 | 27 | 28 | 36 | 35 | 29 | 36 | 19 |
normalized size | 1 | 1. | 1. | 1.04 | 1.33 | 1.3 | 1.07 | 1.33 | 0.7 |
time (sec) |
N/A |
0.024 |
0.009 |
0.004 |
1.342 |
0.215 |
0.566 |
0.195 |
1.022 |
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
Problem 503 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 53 | 53 | 55 | 59 | 69 | 84 | 250 | 938 | 0 |
normalized size | 1 | 1. | 1.04 | 1.11 | 1.3 | 1.58 | 4.72 | 17.7 | 0. |
time (sec) |
N/A |
0.135 |
0.059 |
0.029 |
1.389 |
0.219 |
3.385 |
0.241 |
0. |
|
|
|
|
|
|
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|
Problem 504 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 79 | 79 | 65 | 90 | 104 | 176 | 665 | 1 | 0 |
normalized size | 1 | 1. | 0.82 | 1.14 | 1.32 | 2.23 | 8.42 | 0.01 | 0. |
time (sec) |
N/A |
0.177 |
0.135 |
0.049 |
1.368 |
0.219 |
56.725 |
0.251 |
0. |
|
|
|
|
|
|
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|
Problem 505 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 98 | 98 | 80 | 109 | 134 | 277 | 0 | 1 | 0 |
normalized size | 1 | 1. | 0.82 | 1.11 | 1.37 | 2.83 | 0. | 0.01 | 0. |
time (sec) |
N/A |
0.225 |
0.119 |
0.027 |
1.347 |
0.223 |
0. |
0.248 |
0. |
|
|
|
|
|
|
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Problem 506 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
A |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 72 | 80 | 0 | 0 | 0 | 0 | 0 | 0 | 65 |
normalized size | 1 | 1.11 | 0. | 0. | 0. | 0. | 0. | 0. | 0.9 |
time (sec) |
N/A |
0.134 |
0.031 |
0.077 |
0. |
0. |
0. |
0. |
7.442 |
|
|
|
|
|
|
|
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|
Problem 507 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 28 | 28 | 28 | 29 | 38 | 38 | 29 | 38 | 19 |
normalized size | 1 | 1. | 1. | 1.04 | 1.36 | 1.36 | 1.04 | 1.36 | 0.68 |
time (sec) |
N/A |
0.021 |
0.011 |
0.002 |
1.38 |
0.216 |
0.558 |
0.198 |
1.139 |
|
|
|
|
|
|
|
|
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|
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|
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|
|
Problem 508 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 53 | 53 | 55 | 59 | 69 | 86 | 248 | 938 | 0 |
normalized size | 1 | 1. | 1.04 | 1.11 | 1.3 | 1.62 | 4.68 | 17.7 | 0. |
time (sec) |
N/A |
0.128 |
0.057 |
0.023 |
1.39 |
0.218 |
3.471 |
0.256 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 509 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 79 | 79 | 66 | 90 | 104 | 177 | 663 | 1 | 0 |
normalized size | 1 | 1. | 0.84 | 1.14 | 1.32 | 2.24 | 8.39 | 0.01 | 0. |
time (sec) |
N/A |
0.187 |
0.133 |
0.04 |
1.341 |
0.219 |
56.931 |
0.236 |
0. |
|
|
|
|
|
|
|
|
|
|
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|
|
|
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|
|
|
|
Problem 510 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 98 | 98 | 80 | 109 | 134 | 279 | 0 | 1 | 0 |
normalized size | 1 | 1. | 0.82 | 1.11 | 1.37 | 2.85 | 0. | 0.01 | 0. |
time (sec) |
N/A |
0.208 |
0.11 |
0.026 |
1.347 |
0.216 |
0. |
0.267 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 511 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
A |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 74 | 82 | 0 | 0 | 0 | 0 | 0 | 0 | 63 |
normalized size | 1 | 1.11 | 0. | 0. | 0. | 0. | 0. | 0. | 0.85 |
time (sec) |
N/A |
0.126 |
0.037 |
0.082 |
0. |
0. |
0. |
0. |
7.669 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 512 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 15 | 15 | 15 | 16 | 20 | 26 | 15 | 20 | 10 |
normalized size | 1 | 1. | 1. | 1.07 | 1.33 | 1.73 | 1. | 1.33 | 0.67 |
time (sec) |
N/A |
0.013 |
0.007 |
0.003 |
1.354 |
0.211 |
0.08 |
0.196 |
0.804 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 513 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 33 | 33 | 33 | 46 | 42 | 39 | 46 | 41 | 0 |
normalized size | 1 | 1. | 1. | 1.39 | 1.27 | 1.18 | 1.39 | 1.24 | 0. |
time (sec) |
N/A |
0.028 |
0.015 |
0.013 |
1.373 |
0.209 |
0.117 |
0.197 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 514 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 50 | 50 | 41 | 62 | 62 | 53 | 71 | 54 | 0 |
normalized size | 1 | 1. | 0.82 | 1.24 | 1.24 | 1.06 | 1.42 | 1.08 | 0. |
time (sec) |
N/A |
0.036 |
0.019 |
0.003 |
1.377 |
0.241 |
0.148 |
0.2 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 515 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 65 | 65 | 49 | 78 | 82 | 63 | 88 | 65 | 0 |
normalized size | 1 | 1. | 0.75 | 1.2 | 1.26 | 0.97 | 1.35 | 1. | 0. |
time (sec) |
N/A |
0.043 |
0.023 |
0.004 |
1.345 |
0.217 |
0.174 |
0.206 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 516 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 40 | 40 | 52 | 0 | 0 | 0 | 0 | 0 | 31 |
normalized size | 1 | 1. | 1.3 | 0. | 0. | 0. | 0. | 0. | 0.78 |
time (sec) |
N/A |
0.042 |
0.029 |
0.043 |
0. |
0. |
0. |
0. |
2.333 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 517 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 16 | 16 | 16 | 17 | 22 | 28 | 19 | 22 | 10 |
normalized size | 1 | 1. | 1. | 1.06 | 1.38 | 1.75 | 1.19 | 1.38 | 0.62 |
time (sec) |
N/A |
0.012 |
0.007 |
0.001 |
1.345 |
0.223 |
0.085 |
0.196 |
0.911 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 518 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 33 | 33 | 25 | 46 | 42 | 39 | 46 | 41 | 0 |
normalized size | 1 | 1. | 0.76 | 1.39 | 1.27 | 1.18 | 1.39 | 1.24 | 0. |
time (sec) |
N/A |
0.028 |
0.022 |
0.003 |
1.344 |
0.215 |
0.126 |
0.213 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 519 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 50 | 50 | 35 | 62 | 62 | 53 | 71 | 54 | 0 |
normalized size | 1 | 1. | 0.7 | 1.24 | 1.24 | 1.06 | 1.42 | 1.08 | 0. |
time (sec) |
N/A |
0.036 |
0.041 |
0.004 |
1.392 |
0.214 |
0.156 |
0.199 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 520 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 65 | 65 | 43 | 78 | 82 | 63 | 88 | 65 | 0 |
normalized size | 1 | 1. | 0.66 | 1.2 | 1.26 | 0.97 | 1.35 | 1. | 0. |
time (sec) |
N/A |
0.044 |
0.038 |
0.002 |
1.399 |
0.207 |
0.185 |
0.231 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 521 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 44 | 44 | 54 | 0 | 0 | 0 | 0 | 0 | 31 |
normalized size | 1 | 1. | 1.23 | 0. | 0. | 0. | 0. | 0. | 0.7 |
time (sec) |
N/A |
0.04 |
0.032 |
0.046 |
0. |
0. |
0. |
0. |
2.618 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 522 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 24 | 24 | 24 | 31 | 31 | 30 | 15 | 32 | 22 |
normalized size | 1 | 1. | 1. | 1.29 | 1.29 | 1.25 | 0.62 | 1.33 | 0.92 |
time (sec) |
N/A |
0.032 |
0.008 |
0.013 |
1.335 |
0.234 |
0.132 |
0.2 |
3.138 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 523 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 100 | 123 | 36 | 95 | 0 | 126 | 22 | 157 | 116 |
normalized size | 1 | 1.23 | 0.36 | 0.95 | 0. | 1.26 | 0.22 | 1.57 | 1.16 |
time (sec) |
N/A |
0.172 |
0.015 |
0.01 |
0. |
0.221 |
0.199 |
0.2 |
14.472 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 524 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 12 | 12 | 12 | 14 | 15 | 15 | 8 | 15 | 15 |
normalized size | 1 | 1. | 1. | 1.17 | 1.25 | 1.25 | 0.67 | 1.25 | 1.25 |
time (sec) |
N/A |
0.042 |
0.005 |
0.009 |
1.363 |
0.219 |
0.066 |
0.2 |
4.748 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 525 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 47 | 47 | 44 | 38 | 50 | 58 | 22 | 50 | 42 |
normalized size | 1 | 1. | 0.94 | 0.81 | 1.06 | 1.23 | 0.47 | 1.06 | 0.89 |
time (sec) |
N/A |
0.1 |
0.028 |
0.009 |
1.537 |
0.219 |
0.153 |
0.198 |
11.986 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 526 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 39 | 39 | 39 | 29 | 38 | 38 | 48 | 39 | 0 |
normalized size | 1 | 1. | 1. | 0.74 | 0.97 | 0.97 | 1.23 | 1. | 0. |
time (sec) |
N/A |
0.105 |
0.032 |
0.019 |
1.573 |
0.231 |
0.24 |
0.199 |
0. |
|
|
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|
Problem 527 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 30 | 30 | 30 | 33 | 0 | 50 | 94 | 43 | 20 |
normalized size | 1 | 1. | 1. | 1.1 | 0. | 1.67 | 3.13 | 1.43 | 0.67 |
time (sec) |
N/A |
0.066 |
0.048 |
0.003 |
0. |
0.228 |
2.05 |
0.203 |
5.209 |
|
|
|
|
|
|
|
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|
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|
|
Problem 528 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 54 | 54 | 70 | 57 | 76 | 76 | 0 | 77 | 42 |
normalized size | 1 | 1. | 1.3 | 1.06 | 1.41 | 1.41 | 0. | 1.43 | 0.78 |
time (sec) |
N/A |
0.051 |
0.057 |
0.01 |
1.568 |
0.223 |
0. |
0.21 |
2.533 |
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
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|
|
Problem 529 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 59 | 59 | 76 | 0 | 0 | 0 | 0 | 0 | 41 |
normalized size | 1 | 1. | 1.29 | 0. | 0. | 0. | 0. | 0. | 0.69 |
time (sec) |
N/A |
0.063 |
0.051 |
0.04 |
0. |
0. |
0. |
0. |
3.508 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 530 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 18 | 18 | 18 | 15 | 12 | 24 | 31 | 24 | 15 |
normalized size | 1 | 1. | 1. | 0.83 | 0.67 | 1.33 | 1.72 | 1.33 | 0.83 |
time (sec) |
N/A |
0.046 |
0.017 |
0.013 |
1.439 |
0.217 |
0.579 |
0.208 |
3.55 |
|
|
|
|
|
|
|
|
|
|
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|
|
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|
|
Problem 531 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 20 | 20 | 20 | 17 | 27 | 27 | 34 | 27 | 15 |
normalized size | 1 | 1. | 1. | 0.85 | 1.35 | 1.35 | 1.7 | 1.35 | 0.75 |
time (sec) |
N/A |
0.048 |
0.019 |
0.015 |
1.355 |
0.214 |
0.593 |
0.229 |
3.883 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 532 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 40 | 40 | 55 | 0 | 53 | 62 | 0 | 65 | 36 |
normalized size | 1 | 1. | 1.38 | 0. | 1.32 | 1.55 | 0. | 1.62 | 0.9 |
time (sec) |
N/A |
0.167 |
0.041 |
0.029 |
1.653 |
0.225 |
0. |
0.245 |
24.241 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 533 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 37 | 57 | 68 | 0 | 0 | 0 | 0 | 0 | 46 |
normalized size | 1 | 1.54 | 1.84 | 0. | 0. | 0. | 0. | 0. | 1.24 |
time (sec) |
N/A |
0.094 |
0.056 |
0.033 |
0. |
0. |
0. |
0. |
6.562 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 534 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 73 | 73 | 44 | 37 | 66 | 41 | 0 | 88 | 49 |
normalized size | 1 | 1. | 0.6 | 0.51 | 0.9 | 0.56 | 0. | 1.21 | 0.67 |
time (sec) |
N/A |
0.081 |
0.03 |
0.027 |
1.483 |
0.216 |
0. |
0.219 |
5.634 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 535 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 44 | 44 | 23 | 22 | 26 | 26 | 20 | 26 | 36 |
normalized size | 1 | 1. | 0.52 | 0.5 | 0.59 | 0.59 | 0.45 | 0.59 | 0.82 |
time (sec) |
N/A |
0.054 |
0.005 |
0.003 |
1.376 |
0.214 |
0.076 |
0.213 |
3.041 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 536 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 39 | 39 | 26 | 31 | 9 | 31 | 32 | 36 | 29 |
normalized size | 1 | 1. | 0.67 | 0.79 | 0.23 | 0.79 | 0.82 | 0.92 | 0.74 |
time (sec) |
N/A |
0.054 |
0.02 |
0.006 |
2.151 |
0.202 |
2.319 |
0.225 |
3.297 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 537 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 44 | 44 | 29 | 28 | 36 | 36 | 39 | 1 | 41 |
normalized size | 1 | 1. | 0.66 | 0.64 | 0.82 | 0.82 | 0.89 | 0.02 | 0.93 |
time (sec) |
N/A |
0.038 |
0.008 |
0.01 |
1.508 |
0.211 |
0.109 |
0.222 |
2.838 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 538 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 12 | 12 | 12 | 10 | 24 | 12 | 8 | 24 | 8 |
normalized size | 1 | 1. | 1. | 0.83 | 2. | 1. | 0.67 | 2. | 0.67 |
time (sec) |
N/A |
0.072 |
0.004 |
0.005 |
1.407 |
0.216 |
0.073 |
0.212 |
3.653 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 539 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 32 | 32 | 31 | 26 | 34 | 45 | 24 | 54 | 31 |
normalized size | 1 | 1. | 0.97 | 0.81 | 1.06 | 1.41 | 0.75 | 1.69 | 0.97 |
time (sec) |
N/A |
0.087 |
0.03 |
0.016 |
1.576 |
0.217 |
0.101 |
0.22 |
5.675 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 540 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
F |
A |
verified |
N/A |
Yes |
N/A |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 15 | 15 | 0 | 20 | 28 | 16 | 0 | 0 | 10 |
normalized size | 1 | 1. | 0. | 1.33 | 1.87 | 1.07 | 0. | 0. | 0.67 |
time (sec) |
N/A |
0.091 |
0.174 |
0.007 |
1.544 |
0.21 |
0. |
0. |
5.639 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 541 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 27 | 27 | 22 | 22 | 26 | 28 | 26 | 26 | 26 |
normalized size | 1 | 1. | 0.81 | 0.81 | 0.96 | 1.04 | 0.96 | 0.96 | 0.96 |
time (sec) |
N/A |
0.02 |
0.018 |
0.01 |
1.375 |
0.211 |
0.81 |
0.199 |
1.498 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 542 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 35 | 35 | 26 | 32 | 53 | 28 | 29 | 53 | 0 |
normalized size | 1 | 1. | 0.74 | 0.91 | 1.51 | 0.8 | 0.83 | 1.51 | 0. |
time (sec) |
N/A |
0.171 |
0.022 |
0.079 |
1.446 |
0.23 |
1.476 |
0.232 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 543 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
F(-2) |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 57 | 57 | 37 | 55 | 39 | 0 | 70 | 51 | 63 |
normalized size | 1 | 1. | 0.65 | 0.96 | 0.68 | 0. | 1.23 | 0.89 | 1.11 |
time (sec) |
N/A |
0.05 |
0.064 |
0.072 |
1.574 |
0. |
4.746 |
0.215 |
2.677 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 544 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 54 | 54 | 39 | 45 | 61 | 50 | 269 | 58 | 48 |
normalized size | 1 | 1. | 0.72 | 0.83 | 1.13 | 0.93 | 4.98 | 1.07 | 0.89 |
time (sec) |
N/A |
0.045 |
0.037 |
0.019 |
1.379 |
0.216 |
5.796 |
0.229 |
3.276 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 545 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 82 | 82 | 64 | 68 | 99 | 88 | 651 | 85 | 78 |
normalized size | 1 | 1. | 0.78 | 0.83 | 1.21 | 1.07 | 7.94 | 1.04 | 0.95 |
time (sec) |
N/A |
0.069 |
0.291 |
0.016 |
1.412 |
0.216 |
25.722 |
0.217 |
5.114 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 546 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 79 | 79 | 36 | 62 | 36 | 57 | 76 | 45 | 68 |
normalized size | 1 | 1. | 0.46 | 0.78 | 0.46 | 0.72 | 0.96 | 0.57 | 0.86 |
time (sec) |
N/A |
0.075 |
0.029 |
0.147 |
1.388 |
0.25 |
4.234 |
0.233 |
4.583 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 547 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 36 | 21 | 28 | 36 | 54 | 70 | 32 | 29 |
normalized size | 1 | 1. | 0.58 | 0.78 | 1. | 1.5 | 1.94 | 0.89 | 0.81 |
time (sec) |
N/A |
0.071 |
0.03 |
0.008 |
1.345 |
0.219 |
8.361 |
0.209 |
5.313 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 548 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 36 | 21 | 28 | 36 | 68 | 99 | 32 | 29 |
normalized size | 1 | 1. | 0.58 | 0.78 | 1. | 1.89 | 2.75 | 0.89 | 0.81 |
time (sec) |
N/A |
0.071 |
0.025 |
0.019 |
1.379 |
0.253 |
8.308 |
0.204 |
5.713 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
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Problem 549 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
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|
|
|
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|
|
|
grade |
A |
A |
A |
F |
F(-1) |
F |
F |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 58 | 85 | 97 | 0 | 0 | 0 | 0 | 0 | 63 |
normalized size | 1 | 1.47 | 1.67 | 0. | 0. | 0. | 0. | 0. | 1.09 |
time (sec) |
N/A |
0.13 |
0.355 |
0.095 |
0. |
0. |
0. |
0. |
10.257 |
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Problem 550 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
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|
|
grade |
A |
A |
A |
F |
F(-1) |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 45 | 45 | 90 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 2. | 0. | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.034 |
0.261 |
0.123 |
0. |
0. |
0. |
0. |
0. |
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Problem 551 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
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|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F(-1) |
F |
F |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 51 | 77 | 66 | 0 | 0 | 0 | 0 | 0 | 68 |
normalized size | 1 | 1.51 | 1.29 | 0. | 0. | 0. | 0. | 0. | 1.33 |
time (sec) |
N/A |
0.066 |
0.435 |
0.143 |
0. |
0. |
0. |
0. |
5.707 |
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Problem 552 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
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|
|
|
|
|
|
grade |
A |
A |
B |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 28 | 28 | 89 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 3.18 | 0. | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.052 |
0.071 |
0.048 |
0. |
0. |
0. |
0. |
0. |
|
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Problem 553 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
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|
|
|
|
|
|
grade |
A |
A |
B |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 26 | 26 | 84 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 3.23 | 0. | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.052 |
0.076 |
0.053 |
0. |
0. |
0. |
0. |
0. |
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Problem 554 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
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|
|
|
|
|
|
grade |
A |
A |
B |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 30 | 30 | 61 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 2.03 | 0. | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.056 |
0.513 |
0.065 |
0. |
0. |
0. |
0. |
0. |
|
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Problem 555 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
F |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 30 | 30 | 61 | 0 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 2.03 | 0. | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.057 |
0.553 |
0.082 |
0. |
0. |
0. |
0. |
0. |
|
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Problem 556 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 15 | 15 | 11 | 33 | 30 | 16 | 0 | 14 | 12 |
normalized size | 1 | 1. | 0.73 | 2.2 | 2. | 1.07 | 0. | 0.93 | 0.8 |
time (sec) |
N/A |
0.049 |
0.051 |
0.079 |
1.934 |
0.214 |
0. |
0.214 |
3.314 |
|
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Problem 557 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
F |
F |
F |
F |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 45 | 100 | 0 | 0 | 0 | 0 | 0 | 34 |
normalized size | 1 | 1.1 | 2.44 | 0. | 0. | 0. | 0. | 0. | 0.83 |
time (sec) |
N/A |
0.175 |
0.112 |
0.109 |
0. |
0. |
0. |
0. |
14.795 |
|
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Problem 558 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 12 | 12 | 10 | 8 | 30 | 15 | 0 | 9 | 10 |
normalized size | 1 | 1. | 0.83 | 0.67 | 2.5 | 1.25 | 0. | 0.75 | 0.83 |
time (sec) |
N/A |
0.045 |
0.045 |
0.069 |
1.936 |
0.215 |
0. |
0.223 |
2.673 |
|
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Problem 559 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
F |
F |
F |
F |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 42 | 44 | 87 | 0 | 0 | 0 | 0 | 0 | 36 |
normalized size | 1 | 1.05 | 2.07 | 0. | 0. | 0. | 0. | 0. | 0.86 |
time (sec) |
N/A |
0.174 |
0.117 |
0.102 |
0. |
0. |
0. |
0. |
13.077 |
|
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Problem 560 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 48 | 72 | 0 | 0 | 0 | 0 | 0 | 39 |
normalized size | 1 | 1.04 | 1.57 | 0. | 0. | 0. | 0. | 0. | 0.85 |
time (sec) |
N/A |
0.2 |
0.665 |
0.119 |
0. |
0. |
0. |
0. |
19.604 |
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Problem 561 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 14 | 14 | 23 | 53 | 30 | 32 | 0 | 27 | 10 |
normalized size | 1 | 1. | 1.64 | 3.79 | 2.14 | 2.29 | 0. | 1.93 | 0.71 |
time (sec) |
N/A |
0.038 |
0.064 |
0.106 |
1.929 |
0.215 |
0. |
0.222 |
3.039 |
|
|
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Problem 562 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 43 | 47 | 73 | 0 | 0 | 0 | 0 | 0 | 37 |
normalized size | 1 | 1.09 | 1.7 | 0. | 0. | 0. | 0. | 0. | 0.86 |
time (sec) |
N/A |
0.198 |
0.244 |
0.107 |
0. |
0. |
0. |
0. |
20.021 |
|
|
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Problem 563 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 13 | 13 | 23 | 51 | 30 | 32 | 0 | 28 | 12 |
normalized size | 1 | 1. | 1.77 | 3.92 | 2.31 | 2.46 | 0. | 2.15 | 0.92 |
time (sec) |
N/A |
0.036 |
0.06 |
0.091 |
1.923 |
0.215 |
0. |
0.218 |
3.051 |
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Problem 564 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
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|
|
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|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 30 | 30 | 18 | 20 | 23 | 23 | 27 | 20 | 27 |
normalized size | 1 | 1. | 0.6 | 0.67 | 0.77 | 0.77 | 0.9 | 0.67 | 0.9 |
time (sec) |
N/A |
0.06 |
0.029 |
0. |
1.361 |
0.226 |
1.109 |
0.24 |
2.989 |
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Problem 565 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
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|
|
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|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 50 | 50 | 25 | 27 | 35 | 35 | 48 | 34 | 0 |
normalized size | 1 | 1. | 0.5 | 0.54 | 0.7 | 0.7 | 0.96 | 0.68 | 0. |
time (sec) |
N/A |
0.167 |
0.043 |
0.008 |
1.393 |
6.301 |
3.212 |
0.198 |
0. |
|
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Problem 566 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 75 | 75 | 38 | 36 | 45 | 50 | 80 | 45 | 0 |
normalized size | 1 | 1. | 0.51 | 0.48 | 0.6 | 0.67 | 1.07 | 0.6 | 0. |
time (sec) |
N/A |
0.223 |
0.041 |
0.007 |
1.388 |
0.214 |
3.666 |
0.205 |
0. |
|
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Problem 567 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 187 | 253 | 72 | 78 | 104 | 97 | 202 | 99 | 0 |
normalized size | 1 | 1.35 | 0.39 | 0.42 | 0.56 | 0.52 | 1.08 | 0.53 | 0. |
time (sec) |
N/A |
0.753 |
0.209 |
0.023 |
1.371 |
0.252 |
21.932 |
0.2 |
0. |
|
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Problem 568 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 87 | 87 | 40 | 40 | 55 | 55 | 85 | 53 | 0 |
normalized size | 1 | 1. | 0.46 | 0.46 | 0.63 | 0.63 | 0.98 | 0.61 | 0. |
time (sec) |
N/A |
0.247 |
0.112 |
0.007 |
1.37 |
0.212 |
3.203 |
0.237 |
0. |
|
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Problem 569 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 185 | 185 | 76 | 78 | 104 | 97 | 202 | 99 | 0 |
normalized size | 1 | 1. | 0.41 | 0.42 | 0.56 | 0.52 | 1.09 | 0.54 | 0. |
time (sec) |
N/A |
0.552 |
0.305 |
0.009 |
1.381 |
0.222 |
21.847 |
0.233 |
0. |
|
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Problem 570 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
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|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 2 | 2 | 2 | 3 | 3 | 3 | 2 | 15 | 0 |
normalized size | 1 | 1. | 1. | 1.5 | 1.5 | 1.5 | 1. | 7.5 | 0. |
time (sec) |
N/A |
0.006 |
0.003 |
0. |
1.39 |
0.199 |
0.103 |
0.206 |
0. |
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Problem 571 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 2 | 2 | 2 | 3 | 3 | 3 | 2 | 15 | 0 |
normalized size | 1 | 1. | 1. | 1.5 | 1.5 | 1.5 | 1. | 7.5 | 0. |
time (sec) |
N/A |
0.006 |
0.003 |
0.001 |
1.371 |
0.199 |
0.102 |
0.199 |
0. |
|
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Problem 572 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 3 | 3 | 3 | 4 | 4 | 24 | 7 | 15 | 10 |
normalized size | 1 | 1. | 1. | 1.33 | 1.33 | 8. | 2.33 | 5. | 3.33 |
time (sec) |
N/A |
0.007 |
0.006 |
0.002 |
1.372 |
0.209 |
0.121 |
0.202 |
22.746 |
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
Problem 573 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 3 | 3 | 3 | 4 | 4 | 24 | 12 | 16 | 17 |
normalized size | 1 | 1. | 1. | 1.33 | 1.33 | 8. | 4. | 5.33 | 5.67 |
time (sec) |
N/A |
0.007 |
0.006 |
0.001 |
1.404 |
0.213 |
0.424 |
0.208 |
36.438 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 574 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
A |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 3 | 3 | 9 | 4 | 4 | 11 | 0 | 7 | 0 |
normalized size | 1 | 1. | 3. | 1.33 | 1.33 | 3.67 | 0. | 2.33 | 0. |
time (sec) |
N/A |
0.006 |
0.01 |
0.003 |
1.329 |
0.228 |
0. |
0.198 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 575 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 5 | 5 | 17 | 6 | 7 | 23 | 0 | 19 | 5 |
normalized size | 1 | 1. | 3.4 | 1.2 | 1.4 | 4.6 | 0. | 3.8 | 1. |
time (sec) |
N/A |
0.007 |
0.007 |
0.013 |
1.335 |
0.204 |
0. |
0.199 |
1.656 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 576 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 14 | 14 | 14 | 11 | 22 | 14 | 24 | 32 | 17 |
normalized size | 1 | 1. | 1. | 0.79 | 1.57 | 1. | 1.71 | 2.29 | 1.21 |
time (sec) |
N/A |
0.013 |
0.003 |
0.009 |
1.378 |
0.203 |
0.195 |
0.208 |
4.149 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 577 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 19 | 19 | 23 | 18 | 47 | 57 | 29 | 50 | 17 |
normalized size | 1 | 1. | 1.21 | 0.95 | 2.47 | 3. | 1.53 | 2.63 | 0.89 |
time (sec) |
N/A |
0.019 |
0.003 |
0.053 |
1.328 |
0.198 |
1.644 |
0.202 |
4.79 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 578 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 14 | 14 | 18 | 26 | 51 | 92 | 10 | 35 | 14 |
normalized size | 1 | 1. | 1.29 | 1.86 | 3.64 | 6.57 | 0.71 | 2.5 | 1. |
time (sec) |
N/A |
0.018 |
0.006 |
0.017 |
1.371 |
0.203 |
0.271 |
0.202 |
40.009 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 579 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 16 | 16 | 47 | 11 | 61 | 285 | 0 | 61 | 17 |
normalized size | 1 | 1. | 2.94 | 0.69 | 3.81 | 17.81 | 0. | 3.81 | 1.06 |
time (sec) |
N/A |
0.02 |
0.006 |
0.059 |
1.326 |
0.213 |
0. |
0.207 |
4.06 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 580 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 26 | 26 | 30 | 21 | 82 | 622 | 422 | 81 | 0 |
normalized size | 1 | 1. | 1.15 | 0.81 | 3.15 | 23.92 | 16.23 | 3.12 | 0. |
time (sec) |
N/A |
0.029 |
0.011 |
0.05 |
1.497 |
0.213 |
8.575 |
0.23 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 581 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 18 | 18 | 20 | 17 | 47 | 347 | 0 | 58 | 0 |
normalized size | 1 | 1. | 1.11 | 0.94 | 2.61 | 19.28 | 0. | 3.22 | 0. |
time (sec) |
N/A |
0.042 |
0.007 |
0.018 |
1.514 |
0.225 |
0. |
0.207 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 582 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
A |
F(-1) |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 27 | 0 | 0 | 485 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.87 | 0. | 0. | 15.65 | 0. | 0. | 0. |
time (sec) |
N/A |
0.053 |
0.066 |
0.069 |
0. |
0.219 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 583 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 42 | 41 | 36 | 0 | 1 | 126 | 43 | 0 |
normalized size | 1 | 1.02 | 1. | 0.88 | 0. | 0.02 | 3.07 | 1.05 | 0. |
time (sec) |
N/A |
0.084 |
0.038 |
0.017 |
0. |
0.226 |
20.116 |
0.216 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 584 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 25 | 25 | 16 | 16 | 66 | 78 | 14 | 19 | 0 |
normalized size | 1 | 1. | 0.64 | 0.64 | 2.64 | 3.12 | 0.56 | 0.76 | 0. |
time (sec) |
N/A |
0.028 |
0.019 |
0.01 |
1.357 |
0.204 |
0.624 |
0.222 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 585 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 39 | 39 | 29 | 55 | 55 | 57 | 146 | 58 | 42 |
normalized size | 1 | 1. | 0.74 | 1.41 | 1.41 | 1.46 | 3.74 | 1.49 | 1.08 |
time (sec) |
N/A |
0.079 |
0.062 |
0.024 |
1.364 |
0.224 |
1.15 |
0.212 |
59.349 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 586 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
F(-1) |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 31 | 98 | 0 | 431 | 0 | 107 | 0 |
normalized size | 1 | 1. | 1. | 3.16 | 0. | 13.9 | 0. | 3.45 | 0. |
time (sec) |
N/A |
0.062 |
0.042 |
0.062 |
0. |
0.222 |
0. |
0.237 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 587 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F(-2) |
A |
F(-1) |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 35 | 35 | 35 | 74 | 0 | 1 | 0 | 68 | 0 |
normalized size | 1 | 1. | 1. | 2.11 | 0. | 0.03 | 0. | 1.94 | 0. |
time (sec) |
N/A |
0.065 |
0.042 |
0.034 |
0. |
0.235 |
0. |
0.214 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 588 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
F(-1) |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 25 | 25 | 24 | 55 | 99 | 157 | 0 | 65 | 0 |
normalized size | 1 | 1. | 0.96 | 2.2 | 3.96 | 6.28 | 0. | 2.6 | 0. |
time (sec) |
N/A |
0.035 |
0.056 |
0.032 |
1.505 |
0.22 |
0. |
0.202 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 589 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
A |
A |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 33 | 33 | 37 | 78 | 95 | 103 | 102 | 30 | 0 |
normalized size | 1 | 1. | 1.12 | 2.36 | 2.88 | 3.12 | 3.09 | 0.91 | 0. |
time (sec) |
N/A |
0.226 |
0.067 |
0.116 |
1.524 |
0.229 |
4.667 |
0.205 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 590 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 30 | 30 | 30 | 23 | 57 | 59 | 114 | 65 | 0 |
normalized size | 1 | 1. | 1. | 0.77 | 1.9 | 1.97 | 3.8 | 2.17 | 0. |
time (sec) |
N/A |
0.056 |
0.015 |
0.058 |
1.357 |
0.209 |
21.779 |
0.2 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 591 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 30 | 30 | 30 | 23 | 57 | 150 | 139 | 65 | 0 |
normalized size | 1 | 1. | 1. | 0.77 | 1.9 | 5. | 4.63 | 2.17 | 0. |
time (sec) |
N/A |
0.055 |
0.016 |
0.138 |
1.373 |
0.213 |
20.412 |
0.202 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 592 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
A |
F(-1) |
F |
F(-1) |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 69 | 102 | 487 | 609 | 0 | 405 | 0 | 0 | 0 |
normalized size | 1 | 1.48 | 7.06 | 8.83 | 0. | 5.87 | 0. | 0. | 0. |
time (sec) |
N/A |
1.58 |
31.186 |
0.299 |
0. |
0.24 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 593 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 37 | 37 | 26 | 30 | 169 | 3929 | 0 | 54 | 34 |
normalized size | 1 | 1. | 0.7 | 0.81 | 4.57 | 106.19 | 0. | 1.46 | 0.92 |
time (sec) |
N/A |
0.069 |
0.061 |
0.019 |
1.438 |
0.275 |
0. |
0.224 |
3.112 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 594 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
F |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 29 | 29 | 36 | 28 | 239 | 217 | 0 | 0 | 22 |
normalized size | 1 | 1. | 1.24 | 0.97 | 8.24 | 7.48 | 0. | 0. | 0.76 |
time (sec) |
N/A |
0.155 |
0.343 |
0.062 |
1.737 |
0.218 |
0. |
0. |
14.704 |
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
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Problem 595 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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grade |
A |
A |
A |
B |
A |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 15 | 15 | 15 | 63 | 138 | 651 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 4.2 | 9.2 | 43.4 | 0. | 0. | 0. |
time (sec) |
N/A |
0.033 |
0.067 |
0.07 |
1.562 |
0.221 |
0. |
0. |
0. |
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Problem 596 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 16 | 16 | 16 | 28 | 66 | 126 | 17 | 69 | 0 |
normalized size | 1 | 1. | 1. | 1.75 | 4.12 | 7.88 | 1.06 | 4.31 | 0. |
time (sec) |
N/A |
0.031 |
0.008 |
0.025 |
1.632 |
0.215 |
0.208 |
0.228 |
0. |
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Problem 597 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 16 | 16 | 16 | 28 | 72 | 128 | 22 | 72 | 0 |
normalized size | 1 | 1. | 1. | 1.75 | 4.5 | 8. | 1.38 | 4.5 | 0. |
time (sec) |
N/A |
0.033 |
0.008 |
0.022 |
1.476 |
0.21 |
1.67 |
0.219 |
0. |
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Problem 598 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 20 | 20 | 23 | 14 | 18 | 27 | 26 | 15 | 0 |
normalized size | 1 | 1. | 1.15 | 0.7 | 0.9 | 1.35 | 1.3 | 0.75 | 0. |
time (sec) |
N/A |
0.109 |
0.064 |
0.112 |
1.368 |
0.215 |
0.663 |
0.219 |
0. |
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Problem 599 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 15 | 15 | 20 | 16 | 47 | 27 | 12 | 19 | 0 |
normalized size | 1 | 1. | 1.33 | 1.07 | 3.13 | 1.8 | 0.8 | 1.27 | 0. |
time (sec) |
N/A |
0.2 |
0.039 |
0.032 |
1.359 |
0.203 |
0.652 |
0.216 |
0. |
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Problem 600 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 20 | 20 | 29 | 20 | 30 | 101 | 0 | 32 | 27 |
normalized size | 1 | 1. | 1.45 | 1. | 1.5 | 5.05 | 0. | 1.6 | 1.35 |
time (sec) |
N/A |
0.038 |
0.012 |
0.11 |
1.366 |
0.203 |
0. |
0.23 |
2.144 |
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Problem 601 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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|
grade |
A |
A |
B |
B |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 13 | 13 | 32 | 52 | 101 | 138 | 0 | 14 | 27 |
normalized size | 1 | 1. | 2.46 | 4. | 7.77 | 10.62 | 0. | 1.08 | 2.08 |
time (sec) |
N/A |
0.028 |
0.012 |
0.058 |
1.353 |
0.203 |
0. |
0.225 |
2.19 |
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Problem 602 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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|
grade |
A |
A |
A |
B |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 9 | 9 | 9 | 14 | 8 | 22 | 12 | 8 | 5 |
normalized size | 1 | 1. | 1. | 1.56 | 0.89 | 2.44 | 1.33 | 0.89 | 0.56 |
time (sec) |
N/A |
0.027 |
0.002 |
0.001 |
1.358 |
0.205 |
0.72 |
0.196 |
2.58 |
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Problem 603 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
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|
grade |
A |
A |
A |
A |
F(-2) |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 13 | 19 | 18 | 18 | 0 | 34 | 32 | 22 | 10 |
normalized size | 1 | 1.46 | 1.38 | 1.38 | 0. | 2.62 | 2.46 | 1.69 | 0.77 |
time (sec) |
N/A |
0.047 |
0.018 |
0.004 |
0. |
0.203 |
0.964 |
0.203 |
4.34 |
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Problem 604 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 1 | 1 | 1 | 2 | 1 | 1 | 10 | 1 | 0 |
normalized size | 1 | 1. | 1. | 2. | 1. | 1. | 10. | 1. | 0. |
time (sec) |
N/A |
0.024 |
0.001 |
0.026 |
1.343 |
0.188 |
0.671 |
0.2 |
2.319 |
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Problem 605 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 22 | 22 | 20 | 24 | 22 | 35 | 0 | 23 | 15 |
normalized size | 1 | 1. | 0.91 | 1.09 | 1. | 1.59 | 0. | 1.05 | 0.68 |
time (sec) |
N/A |
0.043 |
0.036 |
0.022 |
1.345 |
0.205 |
0. |
0.197 |
6.705 |
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Problem 606 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 13 | 13 | 18 | 18 | 15 | 28 | 0 | 15 | 10 |
normalized size | 1 | 1. | 1.38 | 1.38 | 1.15 | 2.15 | 0. | 1.15 | 0.77 |
time (sec) |
N/A |
0.053 |
0.024 |
0.02 |
1.348 |
0.204 |
0. |
0.205 |
2.536 |
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Problem 607 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 15 | 15 | 20 | 18 | 15 | 30 | 0 | 15 | 12 |
normalized size | 1 | 1. | 1.33 | 1.2 | 1. | 2. | 0. | 1. | 0.8 |
time (sec) |
N/A |
0.059 |
0.025 |
0.029 |
1.382 |
0.208 |
0. |
0.198 |
3.213 |
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Problem 608 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
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|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
F(-2) |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 26 | 26 | 19 | 34 | 0 | 34 | 0 | 0 | 20 |
normalized size | 1 | 1. | 0.73 | 1.31 | 0. | 1.31 | 0. | 0. | 0.77 |
time (sec) |
N/A |
0.021 |
0.014 |
0.013 |
0. |
0.214 |
0. |
0. |
1.603 |
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Problem 609 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
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|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
F(-2) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 42 | 42 | 30 | 61 | 0 | 61 | 0 | 122 | 39 |
normalized size | 1 | 1. | 0.71 | 1.45 | 0. | 1.45 | 0. | 2.9 | 0.93 |
time (sec) |
N/A |
0.041 |
0.019 |
0.014 |
0. |
0.224 |
0. |
0.207 |
3.241 |
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Problem 610 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 34 | 34 | 21 | 23 | 30 | 23 | 34 | 30 | 34 |
normalized size | 1 | 1. | 0.62 | 0.68 | 0.88 | 0.68 | 1. | 0.88 | 1. |
time (sec) |
N/A |
0.032 |
0.008 |
0.026 |
1.358 |
0.209 |
10.011 |
0.238 |
2.037 |
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Problem 611 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 29 | 29 | 28 | 25 | 34 | 34 | 22 | 32 | 0 |
normalized size | 1 | 1. | 0.97 | 0.86 | 1.17 | 1.17 | 0.76 | 1.1 | 0. |
time (sec) |
N/A |
0.023 |
0.002 |
0.003 |
1.336 |
0.227 |
0.108 |
0.214 |
0. |
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Problem 612 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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|
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|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 67 | 67 | 68 | 72 | 93 | 93 | 71 | 96 | 0 |
normalized size | 1 | 1. | 1.01 | 1.07 | 1.39 | 1.39 | 1.06 | 1.43 | 0. |
time (sec) |
N/A |
0.066 |
0.021 |
0.003 |
1.358 |
0.207 |
0.169 |
0.231 |
0. |
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Problem 613 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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|
|
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|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 23 | 23 | 23 | 24 | 49 | 31 | 26 | 31 | 26 |
normalized size | 1 | 1. | 1. | 1.04 | 2.13 | 1.35 | 1.13 | 1.35 | 1.13 |
time (sec) |
N/A |
0.027 |
0.004 |
0.005 |
1.344 |
0.205 |
0.115 |
0.212 |
0.996 |
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Problem 614 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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|
|
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|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 60 | 73 | 60 | 53 | 89 | 65 | 51 | 70 | 0 |
normalized size | 1 | 1.22 | 1. | 0.88 | 1.48 | 1.08 | 0.85 | 1.17 | 0. |
time (sec) |
N/A |
0.143 |
0.007 |
0.004 |
1.353 |
0.207 |
0.159 |
0.204 |
0. |
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Problem 615 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
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|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
F |
F |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 43 | 43 | 43 | 37 | 11 | 0 | 0 | 0 | 44 |
normalized size | 1 | 1. | 1. | 0.86 | 0.26 | 0. | 0. | 0. | 1.02 |
time (sec) |
N/A |
0.091 |
0.008 |
0.01 |
1.794 |
0. |
0. |
0. |
4.316 |
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Problem 616 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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|
|
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|
|
|
grade |
A |
A |
A |
C |
A |
F |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 29 | 29 | 26 | 32 | 34 | 0 | 151 | 0 | 22 |
normalized size | 1 | 1. | 0.9 | 1.1 | 1.17 | 0. | 5.21 | 0. | 0.76 |
time (sec) |
N/A |
0.037 |
0.011 |
0.016 |
1.327 |
0. |
4.688 |
0. |
2.805 |
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Problem 617 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
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|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 29 | 29 | 27 | 30 | 51 | 46 | 24 | 49 | 26 |
normalized size | 1 | 1. | 0.93 | 1.03 | 1.76 | 1.59 | 0.83 | 1.69 | 0.9 |
time (sec) |
N/A |
0.026 |
0.019 |
0.01 |
1.329 |
0.247 |
0.701 |
0.2 |
3.395 |
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Problem 618 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 12 | 12 | 12 | 13 | 0 | 16 | 15 | 16 | 8 |
normalized size | 1 | 1. | 1. | 1.08 | 0. | 1.33 | 1.25 | 1.33 | 0.67 |
time (sec) |
N/A |
0.027 |
0.004 |
0.003 |
0. |
0.218 |
1.224 |
0.199 |
1.674 |
|
|
|
|
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Problem 619 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 19 | 19 | 18 | 20 | 0 | 30 | 31 | 26 | 14 |
normalized size | 1 | 1. | 0.95 | 1.05 | 0. | 1.58 | 1.63 | 1.37 | 0.74 |
time (sec) |
N/A |
0.047 |
0.015 |
0.003 |
0. |
0.221 |
1.757 |
0.209 |
2.354 |
|
|
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Problem 620 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 11 | 11 | 11 | 12 | 15 | 15 | 8 | 41 | 8 |
normalized size | 1 | 1. | 1. | 1.09 | 1.36 | 1.36 | 0.73 | 3.73 | 0.73 |
time (sec) |
N/A |
0.038 |
0.004 |
0.003 |
1.361 |
0.209 |
0.132 |
0.26 |
2.282 |
|
|
|
|
|
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Problem 621 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 23 | 23 | 21 | 24 | 0 | 36 | 71 | 30 | 14 |
normalized size | 1 | 1. | 0.91 | 1.04 | 0. | 1.57 | 3.09 | 1.3 | 0.61 |
time (sec) |
N/A |
0.055 |
0.018 |
0.026 |
0. |
0.219 |
82.078 |
0.237 |
2.583 |
|
|
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Problem 622 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 16 | 16 | 46 | 15 | 12 | 24 | 0 | 24 | 15 |
normalized size | 1 | 1. | 2.88 | 0.94 | 0.75 | 1.5 | 0. | 1.5 | 0.94 |
time (sec) |
N/A |
0.06 |
0.007 |
0.008 |
1.381 |
0.204 |
0. |
0.208 |
3.523 |
|
|
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Problem 623 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
A |
A |
A |
F |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 18 | 18 | 50 | 17 | 27 | 27 | 0 | 0 | 15 |
normalized size | 1 | 1. | 2.78 | 0.94 | 1.5 | 1.5 | 0. | 0. | 0.83 |
time (sec) |
N/A |
0.069 |
0.007 |
0.008 |
1.37 |
0.208 |
0. |
0. |
3.988 |
|
|
|
|
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|
|
|
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|
Problem 624 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 18 | 18 | 18 | 17 | 12 | 34 | 0 | 14 | 15 |
normalized size | 1 | 1. | 1. | 0.94 | 0.67 | 1.89 | 0. | 0.78 | 0.83 |
time (sec) |
N/A |
0.066 |
0.008 |
0.007 |
1.528 |
0.208 |
0. |
0.224 |
3.993 |
|
|
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|
|
Problem 625 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 22 | 22 | 32 | 37 | 0 | 59 | 0 | 4 | 17 |
normalized size | 1 | 1. | 1.45 | 1.68 | 0. | 2.68 | 0. | 0.18 | 0.77 |
time (sec) |
N/A |
0.149 |
0.014 |
0.006 |
0. |
0.239 |
0. |
19.476 |
9.888 |
|
|
|
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|
|
Problem 626 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-2) |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 24 | 24 | 34 | 39 | 0 | 36 | 0 | 4 | 17 |
normalized size | 1 | 1. | 1.42 | 1.62 | 0. | 1.5 | 0. | 0.17 | 0.71 |
time (sec) |
N/A |
0.174 |
0.017 |
0.007 |
0. |
0.2 |
0. |
20.317 |
10.928 |
|
|
|
|
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|
|
|
|
|
|
|
|
Problem 627 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F(-2) |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 23 | 23 | 38 | 43 | 0 | 36 | 0 | 28 | 15 |
normalized size | 1 | 1. | 1.65 | 1.87 | 0. | 1.57 | 0. | 1.22 | 0.65 |
time (sec) |
N/A |
0.176 |
0.021 |
0.006 |
0. |
0.21 |
0. |
0.208 |
10.766 |
|
|
|
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|
|
|
|
|
|
|
|
Problem 628 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 11 | 11 | 11 | 12 | 15 | 15 | 10 | 15 | 10 |
normalized size | 1 | 1. | 1. | 1.09 | 1.36 | 1.36 | 0.91 | 1.36 | 0.91 |
time (sec) |
N/A |
0.014 |
0.002 |
0.003 |
1.36 |
0.21 |
0.551 |
0.206 |
1.306 |
|
|
|
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|
|
|
|
|
|
|
|
|
Problem 629 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 20 | 20 | 20 | 21 | 20 | 27 | 24 | 27 | 0 |
normalized size | 1 | 1. | 1. | 1.05 | 1. | 1.35 | 1.2 | 1.35 | 0. |
time (sec) |
N/A |
0.03 |
0.002 |
0.003 |
1.35 |
0.225 |
0.615 |
0.214 |
0. |
|
|
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|
|
|
|
|
|
|
|
|
Problem 630 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 29 | 29 | 29 | 30 | 30 | 39 | 36 | 39 | 0 |
normalized size | 1 | 1. | 1. | 1.03 | 1.03 | 1.34 | 1.24 | 1.34 | 0. |
time (sec) |
N/A |
0.034 |
0.002 |
0.003 |
1.338 |
0.213 |
0.688 |
0.223 |
0. |
|
|
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|
|
|
|
|
|
|
|
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|
|
Problem 631 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 38 | 38 | 38 | 39 | 39 | 51 | 48 | 51 | 0 |
normalized size | 1 | 1. | 1. | 1.03 | 1.03 | 1.34 | 1.26 | 1.34 | 0. |
time (sec) |
N/A |
0.04 |
0.002 |
0.003 |
1.371 |
0.236 |
0.748 |
0.211 |
0. |
|
|
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|
|
|
|
|
|
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|
Problem 632 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 24 | 24 | 24 | 0 | 39 | 19 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 0. | 1.62 | 0.79 | 0. | 0. | 0. |
time (sec) |
N/A |
0.05 |
0.018 |
0.038 |
1.451 |
0.276 |
0. |
0. |
0. |
|
|
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|
Problem 633 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 4 | 4 | 4 | 5 | 5 | 5 | 0 | 7 | 5 |
normalized size | 1 | 1. | 1. | 1.25 | 1.25 | 1.25 | 0. | 1.75 | 1.25 |
time (sec) |
N/A |
0.03 |
0.004 |
0.012 |
1.445 |
0.215 |
0. |
0.222 |
2.184 |
|
|
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|
|
|
|
|
|
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|
|
Problem 634 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 7 | 7 | 7 | 10 | 12 | 16 | 7 | 12 | 0 |
normalized size | 1 | 1. | 1. | 1.43 | 1.71 | 2.29 | 1. | 1.71 | 0. |
time (sec) |
N/A |
0.07 |
0.007 |
0.016 |
1.351 |
0.247 |
4.068 |
0.225 |
0. |
|
|
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|
|
|
|
|
|
|
|
|
|
Problem 635 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 11 | 11 | 11 | 12 | 15 | 62 | 10 | 43 | 0 |
normalized size | 1 | 1. | 1. | 1.09 | 1.36 | 5.64 | 0.91 | 3.91 | 0. |
time (sec) |
N/A |
0.02 |
0.002 |
0.005 |
1.414 |
0.208 |
1.396 |
0.227 |
0. |
|
|
|
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|
|
|
|
|
|
|
|
|
|
Problem 636 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 9 | 9 | 9 | 8 | 9 | 9 | 0 | 22 | 0 |
normalized size | 1 | 1. | 1. | 0.89 | 1. | 1. | 0. | 2.44 | 0. |
time (sec) |
N/A |
0.025 |
0.004 |
0.011 |
1.357 |
0.213 |
0. |
0.223 |
0. |
|
|
|
|
|
|
|
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|
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|
|
|
|
|
|
|
|
|
|
Problem 637 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 26 | 26 | 26 | 23 | 0 | 30 | 20 | 30 | 20 |
normalized size | 1 | 1. | 1. | 0.88 | 0. | 1.15 | 0.77 | 1.15 | 0.77 |
time (sec) |
N/A |
0.012 |
0.021 |
0.003 |
0. |
0.217 |
18.789 |
0.222 |
0.867 |
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 638 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 35 | 35 | 35 | 26 | 34 | 35 | 26 | 36 | 26 |
normalized size | 1 | 1. | 1. | 0.74 | 0.97 | 1. | 0.74 | 1.03 | 0.74 |
time (sec) |
N/A |
0.029 |
0.004 |
0.01 |
1.344 |
0.217 |
0.148 |
0.222 |
1.962 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 639 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-2) |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 32 | 32 | 24 | 32 | 27 | 35 | 0 | 27 | 0 |
normalized size | 1 | 1. | 0.75 | 1. | 0.84 | 1.09 | 0. | 0.84 | 0. |
time (sec) |
N/A |
0.09 |
0.033 |
0.026 |
1.361 |
0.213 |
0. |
0.215 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 640 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 52 | 52 | 57 | 43 | 57 | 57 | 0 | 58 | 44 |
normalized size | 1 | 1. | 1.1 | 0.83 | 1.1 | 1.1 | 0. | 1.12 | 0.85 |
time (sec) |
N/A |
0.057 |
0.054 |
0.037 |
1.351 |
0.226 |
0. |
0.208 |
5.49 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 641 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 30 | 30 | 25 | 126 | 34 | 32 | 42 | 35 | 29 |
normalized size | 1 | 1. | 0.83 | 4.2 | 1.13 | 1.07 | 1.4 | 1.17 | 0.97 |
time (sec) |
N/A |
0.056 |
0.035 |
0.053 |
1.35 |
0.222 |
10.191 |
0.21 |
2.881 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 642 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 30 | 30 | 29 | 782 | 34 | 53 | 0 | 35 | 49 |
normalized size | 1 | 1. | 0.97 | 26.07 | 1.13 | 1.77 | 0. | 1.17 | 1.63 |
time (sec) |
N/A |
0.088 |
0.09 |
0.488 |
1.344 |
0.229 |
0. |
0.207 |
4.733 |
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
Problem 643 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 28 | 28 | 32 | 164 | 76 | 43 | 0 | 58 | 0 |
normalized size | 1 | 1. | 1.14 | 5.86 | 2.71 | 1.54 | 0. | 2.07 | 0. |
time (sec) |
N/A |
0.057 |
0.084 |
0.217 |
1.37 |
0.253 |
0. |
0.218 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 644 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 60 | 60 | 56 | 106 | 116 | 72 | 107 | 49 | 0 |
normalized size | 1 | 1. | 0.93 | 1.77 | 1.93 | 1.2 | 1.78 | 0.82 | 0. |
time (sec) |
N/A |
0.193 |
0.196 |
0.141 |
1.581 |
0.218 |
26.604 |
0.269 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 645 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 65 | 65 | 52 | 52 | 69 | 59 | 0 | 140 | 53 |
normalized size | 1 | 1. | 0.8 | 0.8 | 1.06 | 0.91 | 0. | 2.15 | 0.82 |
time (sec) |
N/A |
0.173 |
0.035 |
0.066 |
1.847 |
0.243 |
0. |
0.229 |
7.982 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 646 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 61 | 61 | 42 | 37 | 63 | 49 | 54 | 77 | 54 |
normalized size | 1 | 1. | 0.69 | 0.61 | 1.03 | 0.8 | 0.89 | 1.26 | 0.89 |
time (sec) |
N/A |
0.147 |
0.037 |
0.036 |
1.574 |
0.231 |
0.944 |
0.213 |
7.071 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 647 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 53 | 53 | 37 | 42 | 59 | 49 | 44 | 58 | 44 |
normalized size | 1 | 1. | 0.7 | 0.79 | 1.11 | 0.92 | 0.83 | 1.09 | 0.83 |
time (sec) |
N/A |
0.18 |
0.011 |
0.016 |
1.537 |
0.228 |
0.994 |
0.212 |
11.098 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 648 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 61 | 61 | 56 | 48 | 86 | 72 | 53 | 0 | 53 |
normalized size | 1 | 1. | 0.92 | 0.79 | 1.41 | 1.18 | 0.87 | 0. | 0.87 |
time (sec) |
N/A |
0.201 |
0.013 |
0.019 |
1.503 |
0.233 |
1.7 |
0. |
12.627 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 649 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 63 | 63 | 42 | 56 | 74 | 47 | 0 | 1 | 0 |
normalized size | 1 | 1. | 0.67 | 0.89 | 1.17 | 0.75 | 0. | 0.02 | 0. |
time (sec) |
N/A |
0.104 |
0.046 |
0.073 |
1.412 |
0.236 |
0. |
0.248 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 650 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F(-1) |
A |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 148 | 148 | 92 | 165 | 0 | 104 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.62 | 1.11 | 0. | 0.7 | 0. | 0. | 0. |
time (sec) |
N/A |
0.22 |
0.084 |
0.099 |
0. |
0.238 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 651 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 34 | 34 | 30 | 31 | 41 | 35 | 48 | 36 | 0 |
normalized size | 1 | 1. | 0.88 | 0.91 | 1.21 | 1.03 | 1.41 | 1.06 | 0. |
time (sec) |
N/A |
0.05 |
0.014 |
0.065 |
1.497 |
0.231 |
31.761 |
0.214 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 652 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 34 | 34 | 30 | 33 | 41 | 35 | 48 | 36 | 0 |
normalized size | 1 | 1. | 0.88 | 0.97 | 1.21 | 1.03 | 1.41 | 1.06 | 0. |
time (sec) |
N/A |
0.051 |
0.012 |
0.065 |
1.494 |
0.23 |
31.937 |
0.212 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 653 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 30 | 30 | 26 | 134 | 30 | 36 | 37 | 30 | 20 |
normalized size | 1 | 1. | 0.87 | 4.47 | 1. | 1.2 | 1.23 | 1. | 0.67 |
time (sec) |
N/A |
0.051 |
0.025 |
0.208 |
1.499 |
0.234 |
1.426 |
0.212 |
3.026 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 654 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 59 | 59 | 42 | 58 | 68 | 53 | 53 | 68 | 0 |
normalized size | 1 | 1. | 0.71 | 0.98 | 1.15 | 0.9 | 0.9 | 1.15 | 0. |
time (sec) |
N/A |
0.081 |
0.029 |
0.063 |
1.513 |
0.236 |
3.22 |
0.216 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 655 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 37 | 37 | 33 | 37 | 36 | 50 | 63 | 46 | 27 |
normalized size | 1 | 1. | 0.89 | 1. | 0.97 | 1.35 | 1.7 | 1.24 | 0.73 |
time (sec) |
N/A |
0.055 |
0.035 |
0.068 |
1.492 |
0.228 |
5.542 |
0.227 |
3.052 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 656 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 61 | 61 | 47 | 430 | 66 | 63 | 0 | 81 | 48 |
normalized size | 1 | 1. | 0.77 | 7.05 | 1.08 | 1.03 | 0. | 1.33 | 0.79 |
time (sec) |
N/A |
0.126 |
0.052 |
0.378 |
1.541 |
0.23 |
0. |
0.231 |
7.708 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 657 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F(-1) |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 95 | 95 | 119 | 227 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.25 | 2.39 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.243 |
0.316 |
0.258 |
0. |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 658 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 41 | 36 | 201 | 47 | 59 | 0 | 182 | 36 |
normalized size | 1 | 1. | 0.88 | 4.9 | 1.15 | 1.44 | 0. | 4.44 | 0.88 |
time (sec) |
N/A |
0.091 |
0.051 |
0.664 |
1.492 |
0.263 |
0. |
0.222 |
5.212 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 659 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 34 | 34 | 28 | 32 | 43 | 35 | 26 | 36 | 0 |
normalized size | 1 | 1. | 0.82 | 0.94 | 1.26 | 1.03 | 0.76 | 1.06 | 0. |
time (sec) |
N/A |
0.098 |
0.018 |
0.059 |
1.491 |
0.218 |
0.488 |
0.221 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 660 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 61 | 61 | 42 | 53 | 70 | 53 | 53 | 68 | 0 |
normalized size | 1 | 1. | 0.69 | 0.87 | 1.15 | 0.87 | 0.87 | 1.11 | 0. |
time (sec) |
N/A |
0.171 |
0.063 |
0.069 |
1.493 |
0.223 |
1.853 |
0.219 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 661 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 19 | 19 | 32 | 46 | 34 | 59 | 20 | 36 | 14 |
normalized size | 1 | 1. | 1.68 | 2.42 | 1.79 | 3.11 | 1.05 | 1.89 | 0.74 |
time (sec) |
N/A |
0.055 |
0.051 |
0.067 |
1.549 |
0.224 |
5.406 |
0.214 |
2.841 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 662 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 17 | 17 | 32 | 47 | 34 | 59 | 20 | 36 | 14 |
normalized size | 1 | 1. | 1.88 | 2.76 | 2. | 3.47 | 1.18 | 2.12 | 0.82 |
time (sec) |
N/A |
0.051 |
0.05 |
0.075 |
1.493 |
0.226 |
7.736 |
0.215 |
2.956 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 663 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 62 | 62 | 45 | 63 | 65 | 82 | 0 | 73 | 49 |
normalized size | 1 | 1. | 0.73 | 1.02 | 1.05 | 1.32 | 0. | 1.18 | 0.79 |
time (sec) |
N/A |
0.061 |
0.093 |
0.059 |
1.514 |
0.225 |
0. |
0.221 |
4.919 |
|
|
|
|
|
|
|
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|
|
Problem 664 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 36 | 40 | 102 | 61 | 77 | 0 | 54 | 27 |
normalized size | 1 | 1. | 1.11 | 2.83 | 1.69 | 2.14 | 0. | 1.5 | 0.75 |
time (sec) |
N/A |
0.118 |
0.076 |
0.214 |
1.511 |
0.231 |
0. |
0.215 |
7.318 |
|
|
|
|
|
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|
|
|
Problem 665 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F(-1) |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 62 | 62 | 112 | 97 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.81 | 1.56 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.175 |
0.254 |
0.222 |
0. |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
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|
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|
|
|
|
Problem 666 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 54 | 54 | 38 | 43 | 57 | 49 | 0 | 128 | 46 |
normalized size | 1 | 1. | 0.7 | 0.8 | 1.06 | 0.91 | 0. | 2.37 | 0.85 |
time (sec) |
N/A |
0.155 |
0.037 |
0.075 |
1.498 |
0.227 |
0. |
0.217 |
6.685 |
|
|
|
|
|
|
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|
|
|
|
|
Problem 667 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 66 | 66 | 50 | 158 | 70 | 55 | 78 | 72 | 56 |
normalized size | 1 | 1. | 0.76 | 2.39 | 1.06 | 0.83 | 1.18 | 1.09 | 0.85 |
time (sec) |
N/A |
0.143 |
0.052 |
0.188 |
1.48 |
0.225 |
4.285 |
0.225 |
8.305 |
|
|
|
|
|
|
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|
|
|
|
|
Problem 668 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 73 | 73 | 60 | 69 | 194 | 66 | 66 | 81 | 0 |
normalized size | 1 | 1. | 0.82 | 0.95 | 2.66 | 0.9 | 0.9 | 1.11 | 0. |
time (sec) |
N/A |
0.272 |
0.038 |
0.089 |
10.282 |
0.254 |
1.837 |
0.231 |
0. |
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
Problem 669 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 32 | 32 | 21 | 27 | 35 | 26 | 31 | 35 | 22 |
normalized size | 1 | 1. | 0.66 | 0.84 | 1.09 | 0.81 | 0.97 | 1.09 | 0.69 |
time (sec) |
N/A |
0.062 |
0.012 |
0.004 |
1.53 |
0.215 |
1.259 |
0.208 |
2.696 |
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
Problem 670 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 44 | 44 | 36 | 37 | 53 | 51 | 88 | 46 | 37 |
normalized size | 1 | 1. | 0.82 | 0.84 | 1.2 | 1.16 | 2. | 1.05 | 0.84 |
time (sec) |
N/A |
0.055 |
0.016 |
0.003 |
1.506 |
0.213 |
2.156 |
0.208 |
2.77 |
|
|
|
|
|
|
|
|
|
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|
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|
|
|
|
|
|
|
|
|
Problem 671 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 23 | 23 | 23 | 20 | 32 | 26 | 19 | 28 | 19 |
normalized size | 1 | 1. | 1. | 0.87 | 1.39 | 1.13 | 0.83 | 1.22 | 0.83 |
time (sec) |
N/A |
0.077 |
0.006 |
0. |
1.562 |
0.216 |
0.591 |
0.211 |
5.425 |
|
|
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|
|
|
|
|
|
|
|
|
|
|
Problem 672 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
A |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 67 | 67 | 53 | 128 | 0 | 0 | 0 | 0 | 49 |
normalized size | 1 | 1. | 0.79 | 1.91 | 0. | 0. | 0. | 0. | 0.73 |
time (sec) |
N/A |
0.155 |
0.054 |
0.052 |
0. |
0. |
0. |
0. |
9.804 |
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
Problem 673 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-2) |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 34 | 34 | 28 | 29 | 54 | 35 | 0 | 0 | 26 |
normalized size | 1 | 1. | 0.82 | 0.85 | 1.59 | 1.03 | 0. | 0. | 0.76 |
time (sec) |
N/A |
0.075 |
0.012 |
0.01 |
1.515 |
0.226 |
0. |
0. |
5.121 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 674 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F(-2) |
F |
A |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 79 | 79 | 64 | 139 | 0 | 0 | 0 | 0 | 56 |
normalized size | 1 | 1. | 0.81 | 1.76 | 0. | 0. | 0. | 0. | 0.71 |
time (sec) |
N/A |
0.177 |
0.039 |
0.045 |
0. |
0. |
0. |
0. |
10.512 |
|
|
|
|
|
|
|
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|
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|
|
|
|
|
|
|
|
|
|
|
Problem 675 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F(-2) |
F |
A |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 89 | 89 | 70 | 149 | 0 | 0 | 0 | 0 | 68 |
normalized size | 1 | 1. | 0.79 | 1.67 | 0. | 0. | 0. | 0. | 0.76 |
time (sec) |
N/A |
0.372 |
0.21 |
0.048 |
0. |
0. |
0. |
0. |
16.995 |
|
|
|
|
|
|
|
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|
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|
|
|
|
|
|
|
|
|
|
Problem 676 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 22 | 22 | 22 | 23 | 28 | 35 | 19 | 34 | 22 |
normalized size | 1 | 1. | 1. | 1.05 | 1.27 | 1.59 | 0.86 | 1.55 | 1. |
time (sec) |
N/A |
0.06 |
0.007 |
0.007 |
1.537 |
0.231 |
0.63 |
0.207 |
4.004 |
|
|
|
|
|
|
|
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|
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|
|
|
|
|
|
|
|
|
|
Problem 677 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 39 | 30 | 42 | 35 | 34 | 42 | 27 |
normalized size | 1 | 1. | 1.26 | 0.97 | 1.35 | 1.13 | 1.1 | 1.35 | 0.87 |
time (sec) |
N/A |
0.039 |
0.009 |
0.014 |
1.49 |
0.215 |
1.636 |
0.21 |
2.493 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 678 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
F |
F |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 63 | 63 | 60 | 79 | 96 | 0 | 0 | 0 | 51 |
normalized size | 1 | 1. | 0.95 | 1.25 | 1.52 | 0. | 0. | 0. | 0.81 |
time (sec) |
N/A |
0.156 |
0.029 |
0.029 |
1.878 |
0. |
0. |
0. |
8.63 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 679 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 28 | 28 | 28 | 25 | 36 | 39 | 22 | 0 | 26 |
normalized size | 1 | 1. | 1. | 0.89 | 1.29 | 1.39 | 0.79 | 0. | 0.93 |
time (sec) |
N/A |
0.11 |
0.008 |
0.012 |
1.509 |
0.224 |
0.993 |
0. |
6.726 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 680 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 39 | 39 | 38 | 34 | 49 | 51 | 32 | 0 | 36 |
normalized size | 1 | 1. | 0.97 | 0.87 | 1.26 | 1.31 | 0.82 | 0. | 0.92 |
time (sec) |
N/A |
0.115 |
0.018 |
0.003 |
1.524 |
0.219 |
1.029 |
0. |
7.812 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 681 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 60 | 60 | 56 | 57 | 96 | 73 | 61 | 0 | 53 |
normalized size | 1 | 1. | 0.93 | 0.95 | 1.6 | 1.22 | 1.02 | 0. | 0.88 |
time (sec) |
N/A |
0.136 |
0.023 |
0.026 |
1.523 |
0.229 |
1.752 |
0. |
7.714 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 682 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 79 | 82 | 47 | 78 | 127 | 69 | 0 | 0 | 73 |
normalized size | 1 | 1.04 | 0.59 | 0.99 | 1.61 | 0.87 | 0. | 0. | 0.92 |
time (sec) |
N/A |
0.213 |
0.023 |
0.037 |
1.514 |
0.219 |
0. |
0. |
11.956 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 683 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F(-1) |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 107 | 116 | 116 | 199 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1.08 | 1.08 | 1.86 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.291 |
0.213 |
0.263 |
0. |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 684 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
A |
F(-1) |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 106 | 133 | 86 | 305 | 0 | 69 | 0 | 0 | 0 |
normalized size | 1 | 1.25 | 0.81 | 2.88 | 0. | 0.65 | 0. | 0. | 0. |
time (sec) |
N/A |
0.3 |
0.373 |
0.438 |
0. |
0.23 |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 685 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 41 | 48 | 198 | 36 | 31 | 0 | 101 | 39 |
normalized size | 1 | 1. | 1.17 | 4.83 | 0.88 | 0.76 | 0. | 2.46 | 0.95 |
time (sec) |
N/A |
0.089 |
0.05 |
0.405 |
1.58 |
0.221 |
0. |
0.223 |
4.738 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 686 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
F(-1) |
A |
A |
verified |
N/A |
NO |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 65 | 67 | 67 | 128 | 65 | 101 | 0 | 78 | 63 |
normalized size | 1 | 1.03 | 1.03 | 1.97 | 1. | 1.55 | 0. | 1.2 | 0.97 |
time (sec) |
N/A |
0.058 |
0.154 |
0.414 |
1.51 |
0.229 |
0. |
0.259 |
4.482 |
|
|
|
|
|
|
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|
|
Problem 687 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
F(-1) |
A |
A |
verified |
N/A |
NO |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 51 | 53 | 61 | 121 | 62 | 92 | 0 | 72 | 46 |
normalized size | 1 | 1.04 | 1.2 | 2.37 | 1.22 | 1.8 | 0. | 1.41 | 0.9 |
time (sec) |
N/A |
0.102 |
0.139 |
0.442 |
1.469 |
0.227 |
0. |
0.256 |
5.386 |
|
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Problem 688 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
F(-1) |
A |
A |
verified |
N/A |
NO |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 82 | 84 | 72 | 197 | 86 | 93 | 0 | 86 | 71 |
normalized size | 1 | 1.02 | 0.88 | 2.4 | 1.05 | 1.13 | 0. | 1.05 | 0.87 |
time (sec) |
N/A |
0.158 |
0.229 |
0.615 |
1.433 |
0.225 |
0. |
0.232 |
8.657 |
|
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Problem 689 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
C |
F(-1) |
F |
F(-1) |
F |
F |
verified |
N/A |
NO |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 175 | 232 | 383 | 240 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1.33 | 2.19 | 1.37 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.468 |
2.775 |
0.675 |
0. |
0. |
0. |
0. |
0. |
|
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Problem 690 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 23 | 23 | 35 | 76 | 23 | 22 | 0 | 68 | 20 |
normalized size | 1 | 1. | 1.52 | 3.3 | 1. | 0.96 | 0. | 2.96 | 0.87 |
time (sec) |
N/A |
0.082 |
0.033 |
0.223 |
1.53 |
0.221 |
0. |
0.22 |
3.976 |
|
|
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Problem 691 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
F(-1) |
A |
A |
verified |
N/A |
NO |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 70 | 91 | 79 | 203 | 105 | 109 | 0 | 142 | 87 |
normalized size | 1 | 1.3 | 1.13 | 2.9 | 1.5 | 1.56 | 0. | 2.03 | 1.24 |
time (sec) |
N/A |
0.165 |
0.177 |
0.48 |
1.625 |
0.256 |
0. |
0.262 |
10.891 |
|
|
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Problem 692 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
F(-1) |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 74 | 101 | 76 | 114 | 78 | 50 | 0 | 0 | 107 |
normalized size | 1 | 1.36 | 1.03 | 1.54 | 1.05 | 0.68 | 0. | 0. | 1.45 |
time (sec) |
N/A |
0.289 |
0.062 |
0.286 |
1.535 |
0.225 |
0. |
0. |
11.225 |
|
|
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|
Problem 693 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F(-2) |
A |
F(-1) |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 133 | 172 | 84 | 327 | 0 | 80 | 0 | 0 | 180 |
normalized size | 1 | 1.29 | 0.63 | 2.46 | 0. | 0.6 | 0. | 0. | 1.35 |
time (sec) |
N/A |
0.309 |
0.325 |
0.455 |
0. |
0.226 |
0. |
0. |
14.849 |
|
|
|
|
|
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|
Problem 694 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
A |
A |
F(-1) |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 110 | 146 | 92 | 250 | 100 | 77 | 0 | 0 | 153 |
normalized size | 1 | 1.33 | 0.84 | 2.27 | 0.91 | 0.7 | 0. | 0. | 1.39 |
time (sec) |
N/A |
0.313 |
0.089 |
0.48 |
1.672 |
0.246 |
0. |
0. |
14.246 |
|
|
|
|
|
|
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|
Problem 695 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
B |
A |
A |
A |
A |
F(-1) |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 55 | 118 | 99 | 85 | 139 | 69 | 0 | 0 | 80 |
normalized size | 1 | 2.15 | 1.8 | 1.55 | 2.53 | 1.25 | 0. | 0. | 1.45 |
time (sec) |
N/A |
1.347 |
0.223 |
0.045 |
1.527 |
0.231 |
0. |
0. |
78.811 |
|
|
|
|
|
|
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|
Problem 696 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 40 | 40 | 75 | 64 | 120 | 78 | 0 | 66 | 26 |
normalized size | 1 | 1. | 1.88 | 1.6 | 3. | 1.95 | 0. | 1.65 | 0.65 |
time (sec) |
N/A |
0.075 |
0.095 |
0.023 |
1.501 |
0.233 |
0. |
0.25 |
2.77 |
|
|
|
|
|
|
|
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|
Problem 697 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 39 | 39 | 35 | 32 | 42 | 68 | 153 | 43 | 31 |
normalized size | 1 | 1. | 0.9 | 0.82 | 1.08 | 1.74 | 3.92 | 1.1 | 0.79 |
time (sec) |
N/A |
0.067 |
0.026 |
0.006 |
1.517 |
0.226 |
1.253 |
0.201 |
4.5 |
|
|
|
|
|
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|
Problem 698 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
C |
A |
F |
F(-1) |
F |
A |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 122 | 122 | 256 | 102 | 159 | 0 | 0 | 0 | 80 |
normalized size | 1 | 1. | 2.1 | 0.84 | 1.3 | 0. | 0. | 0. | 0.66 |
time (sec) |
N/A |
0.161 |
0.339 |
0.026 |
1.63 |
0. |
0. |
0. |
10.833 |
|
|
|
|
|
|
|
|
|
|
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|
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|
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|
|
Problem 699 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
A |
A |
F |
F(-2) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 28 | 28 | 28 | 0 | 27 | 19 | 22 | 0 | 0 |
normalized size | 1 | 1. | 1. | 0. | 0.96 | 0.68 | 0.79 | 0. | 0. |
time (sec) |
N/A |
0.054 |
0.012 |
0.086 |
1.548 |
0.222 |
4.287 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 700 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 31 | 26 | 34 | 34 | 26 | 34 | 26 |
normalized size | 1 | 1. | 1. | 0.84 | 1.1 | 1.1 | 0.84 | 1.1 | 0.84 |
time (sec) |
N/A |
0.059 |
0.013 |
0.012 |
1.335 |
0.255 |
6.258 |
0.199 |
3.133 |
|
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|
Problem 701 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 57 | 57 | 61 | 70 | 77 | 135 | 0 | 78 | 46 |
normalized size | 1 | 1. | 1.07 | 1.23 | 1.35 | 2.37 | 0. | 1.37 | 0.81 |
time (sec) |
N/A |
0.07 |
0.137 |
0.01 |
1.526 |
0.227 |
0. |
0.217 |
5.25 |
|
|
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|
Problem 702 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 82 | 140 | 72 | 76 | 69 | 198 | 0 | 266 | 143 |
normalized size | 1 | 1.71 | 0.88 | 0.93 | 0.84 | 2.41 | 0. | 3.24 | 1.74 |
time (sec) |
N/A |
0.212 |
0.105 |
0.024 |
1.593 |
0.234 |
0. |
0.308 |
5.363 |
|
|
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|
Problem 703 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
A |
F(-1) |
F |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 49 | 49 | 66 | 0 | 0 | 566 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.35 | 0. | 0. | 11.55 | 0. | 0. | 0. |
time (sec) |
N/A |
0.235 |
0.325 |
0.052 |
0. |
0.248 |
0. |
0. |
0. |
|
|
|
|
|
|
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|
Problem 704 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
A |
A |
F(-1) |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 36 | 144 | 830 | 73 | 629 | 0 | 95 | 36 |
normalized size | 1 | 1. | 4. | 23.06 | 2.03 | 17.47 | 0. | 2.64 | 1. |
time (sec) |
N/A |
0.196 |
0.238 |
0.556 |
1.523 |
0.231 |
0. |
0.26 |
25.867 |
|
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|
Problem 705 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
Rubi in Sympy |
|
|
|
|
|
|
|
|
|
|
grade |
A |
B |
B |
F |
A |
A |
F |
A |
A |
verified |
N/A |
NO |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 28 | 67 | 64 | 0 | 22 | 35 | 0 | 39 | 42 |
normalized size | 1 | 2.39 | 2.29 | 0. | 0.79 | 1.25 | 0. | 1.39 | 1.5 |
time (sec) |
N/A |
0.087 |
0.851 |
0.056 |
1.638 |
0.227 |
0. |
0.204 |
9.428 |
|
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|
2.2 Detailed conclusion table specific for Rubi results
The following table is specific to Rubi. It gives additional statistics for each integral. the column
steps is the number of steps used by Rubi to obtain the antiderivative. The rules column
is the number of unique rules used. The integrand size column is the leaf size of
the integrand. Finally the ratio \(\frac{\text{number of rules}}{\text{integrand size}}\) is given. The larger this ratio is, the harder the
integral was to solve. In this test, problem number [397] had the largest ratio of [ 1.333
]
|
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|
|
| Table 1: Rubi specific breakdown of results for each integral
|
|
|
|
|
|
|
# |
grade |
|
|
normalized | antiderivative |
leaf size |
|
|
\(\frac{\text{number of rules}}{\text{integrand leaf size}}\) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
A |
1 |
1 |
1. |
14 |
0.071 |
|
|
|
|
|
|
|
2 |
A |
1 |
1 |
1. |
13 |
0.077 |
|
|
|
|
|
|
|
3 |
A |
1 |
1 |
1. |
5 |
0.2 |
|
|
|
|
|
|
|
4 |
A |
2 |
2 |
1. |
10 |
0.2 |
|
|
|
|
|
|
|
5 |
A |
1 |
1 |
1. |
12 |
0.083 |
|
|
|
|
|
|
|
6 |
A |
2 |
2 |
1. |
5 |
0.4 |
|
|
|
|
|
|
|
7 |
A |
2 |
2 |
1. |
5 |
0.4 |
|
|
|
|
|
|
|
8 |
A |
2 |
1 |
1. |
7 |
0.143 |
|
|
|
|
|
|
|
9 |
A |
1 |
1 |
1. |
6 |
0.167 |
|
|
|
|
|
|
|
10 |
A |
1 |
1 |
1. |
8 |
0.125 |
|
|
|
|
|
|
|
11 |
A |
2 |
2 |
1. |
12 |
0.167 |
|
|
|
|
|
|
|
12 |
A |
2 |
2 |
1. |
17 |
0.118 |
|
|
|
|
|
|
|
13 |
A |
2 |
2 |
1. |
18 |
0.111 |
|
|
|
|
|
|
|
14 |
A |
3 |
2 |
1. |
19 |
0.105 |
|
|
|
|
|
|
|
15 |
A |
3 |
2 |
1. |
20 |
0.1 |
|
|
|
|
|
|
|
16 |
A |
3 |
2 |
1.22 |
19 |
0.105 |
|
|
|
|
|
|
|
17 |
A |
3 |
2 |
1.22 |
20 |
0.1 |
|
|
|
|
|
|
|
18 |
A |
2 |
2 |
1. |
10 |
0.2 |
|
|
|
|
|
|
|
19 |
A |
2 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
20 |
A |
2 |
2 |
1. |
8 |
0.25 |
|
|
|
|
|
|
|
|
21 |
A |
2 |
1 |
1. |
12 |
0.083 |
|
|
|
|
|
|
|
22 |
A |
2 |
2 |
1. |
12 |
0.167 |
|
|
|
|
|
|
|
23 |
A |
2 |
2 |
1. |
14 |
0.143 |
|
|
|
|
|
|
|
24 |
A |
3 |
2 |
1. |
16 |
0.125 |
|
|
|
|
|
|
|
25 |
A |
4 |
2 |
1. |
22 |
0.091 |
|
|
|
|
|
|
|
26 |
A |
2 |
1 |
1. |
13 |
0.077 |
|
|
|
|
|
|
|
27 |
A |
3 |
2 |
1. |
15 |
0.133 |
|
|
|
|
|
|
|
28 |
A |
3 |
3 |
1. |
15 |
0.2 |
|
|
|
|
|
|
|
29 |
A |
1 |
1 |
1. |
9 |
0.111 |
|
|
|
|
|
|
|
30 |
A |
1 |
1 |
1. |
9 |
0.111 |
|
|
|
|
|
|
|
31 |
A |
4 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
32 |
A |
2 |
2 |
1. |
4 |
0.5 |
|
|
|
|
|
|
|
33 |
A |
2 |
2 |
1. |
4 |
0.5 |
|
|
|
|
|
|
|
34 |
A |
2 |
2 |
1. |
7 |
0.286 |
|
|
|
|
|
|
|
35 |
A |
2 |
1 |
1. |
7 |
0.143 |
|
|
|
|
|
|
|
36 |
A |
3 |
2 |
1. |
9 |
0.222 |
|
|
|
|
|
|
|
37 |
A |
2 |
2 |
1. |
8 |
0.25 |
|
|
|
|
|
|
|
38 |
A |
2 |
2 |
1. |
8 |
0.25 |
|
|
|
|
|
|
|
39 |
A |
4 |
2 |
1. |
9 |
0.222 |
|
|
|
|
|
|
|
40 |
A |
4 |
4 |
1. |
9 |
0.444 |
|
|
|
|
|
|
|
|
41 | A | 2 | 2 | 1. | 9 | 0.222 |
|
|
|
|
|
|
|
42 |
A |
2 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
43 |
A |
3 |
2 |
1. |
19 |
0.105 |
|
|
|
|
|
|
|
44 |
A |
3 |
2 |
1. |
10 |
0.2 |
|
|
|
|
|
|
|
45 |
A |
3 |
3 |
1. |
16 |
0.188 |
|
|
|
|
|
|
|
46 |
A |
3 |
2 |
1. |
14 |
0.143 |
|
|
|
|
|
|
|
47 |
A |
4 |
3 |
1. |
11 |
0.273 |
|
|
|
|
|
|
|
48 |
A |
2 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
49 |
A |
3 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
50 |
A |
3 |
3 |
1. |
15 |
0.2 |
|
|
|
|
|
|
|
51 |
A |
3 |
3 |
1. |
17 |
0.176 |
|
|
|
|
|
|
|
52 |
A |
3 |
3 |
1. |
17 |
0.176 |
|
|
|
|
|
|
|
53 |
A |
3 |
3 |
1. |
15 |
0.2 |
|
|
|
|
|
|
|
54 |
A |
2 |
2 |
1. |
12 |
0.167 |
|
|
|
|
|
|
|
55 |
A |
2 |
2 |
1. |
14 |
0.143 |
|
|
|
|
|
|
|
56 |
A |
2 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
57 |
A |
3 |
3 |
1. |
18 |
0.167 |
|
|
|
|
|
|
|
58 |
A |
2 |
2 |
1. |
16 |
0.125 |
|
|
|
|
|
|
|
59 |
A |
1 |
1 |
1.1 |
18 |
0.056 |
|
|
|
|
|
|
|
60 |
A |
7 |
5 |
1. |
17 |
0.294 |
|
|
|
|
|
|
|
|
61 |
A |
2 |
2 |
1.3 |
10 |
0.2 |
|
|
|
|
|
|
|
62 |
A |
3 |
1 |
1. |
11 |
0.091 |
|
|
|
|
|
|
|
63 |
A |
2 |
1 |
1. |
17 |
0.059 |
|
|
|
|
|
|
|
64 |
A |
3 |
2 |
1.06 |
19 |
0.105 |
|
|
|
|
|
|
|
65 |
A |
3 |
2 |
1. |
19 |
0.105 |
|
|
|
|
|
|
|
66 |
A |
3 |
3 |
1. |
11 |
0.273 |
|
|
|
|
|
|
|
67 |
A |
3 |
3 |
1. |
17 |
0.176 |
|
|
|
|
|
|
|
68 |
A |
1 |
1 |
1. |
12 |
0.083 |
|
|
|
|
|
|
|
69 |
A |
2 |
2 |
1. |
24 |
0.083 |
|
|
|
|
|
|
|
70 |
A |
1 |
1 |
1. |
16 |
0.062 |
|
|
|
|
|
|
|
71 |
A |
2 |
2 |
1. |
6 |
0.333 |
|
|
|
|
|
|
|
72 |
A |
1 |
1 |
1. |
6 |
0.167 |
|
|
|
|
|
|
|
73 |
A |
5 |
4 |
1.06 |
12 |
0.333 |
|
|
|
|
|
|
|
74 |
A |
2 |
1 |
1. |
4 |
0.25 |
|
|
|
|
|
|
|
75 |
A |
4 |
3 |
1. |
9 |
0.333 |
|
|
|
|
|
|
|
76 |
A |
3 |
2 |
1. |
4 |
0.5 |
|
|
|
|
|
|
|
77 |
A |
1 |
1 |
1. |
8 |
0.125 |
|
|
|
|
|
|
|
78 |
A |
1 |
1 |
1. |
10 |
0.1 |
|
|
|
|
|
|
|
79 |
A |
1 |
1 |
1. |
6 |
0.167 |
|
|
|
|
|
|
|
80 |
A |
1 |
1 |
1. |
3 |
0.333 |
|
|
|
|
|
|
|
|
81 |
A |
3 |
4 |
1. |
8 |
0.5 |
|
|
|
|
|
|
|
82 |
A |
3 |
3 |
1. |
6 |
0.5 |
|
|
|
|
|
|
|
83 |
A |
4 |
4 |
1. |
6 |
0.667 |
|
|
|
|
|
|
|
84 |
A |
3 |
3 |
1. |
4 |
0.75 |
|
|
|
|
|
|
|
85 |
A |
4 |
4 |
1. |
13 |
0.308 |
|
|
|
|
|
|
|
86 |
A |
6 |
6 |
1.5 |
12 |
0.5 |
|
|
|
|
|
|
|
87 |
A |
3 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
88 |
A |
2 |
1 |
1. |
16 |
0.062 |
|
|
|
|
|
|
|
89 |
A |
1 |
1 |
1. |
15 |
0.067 |
|
|
|
|
|
|
|
90 |
A |
2 |
1 |
1. |
11 |
0.091 |
|
|
|
|
|
|
|
91 |
A |
3 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
92 |
A |
3 |
2 |
1. |
12 |
0.167 |
|
|
|
|
|
|
|
93 |
A |
4 |
4 |
1. |
16 |
0.25 |
|
|
|
|
|
|
|
94 |
A |
5 |
5 |
1. |
14 |
0.357 |
|
|
|
|
|
|
|
95 |
A |
7 |
6 |
1. |
29 |
0.207 |
|
|
|
|
|
|
|
96 |
A |
3 |
2 |
1. |
19 |
0.105 |
|
|
|
|
|
|
|
97 |
A |
2 |
1 |
1. |
39 |
0.026 |
|
|
|
|
|
|
|
98 |
A |
12 |
5 |
1.65 |
21 |
0.238 |
|
|
|
|
|
|
|
99 |
A |
3 |
2 |
1. |
20 |
0.1 |
|
|
|
|
|
|
|
100 |
A |
2 |
1 |
1. |
21 |
0.048 |
|
|
|
|
|
|
|
|
101 | A | 2 | 1 | 1. | 11 | 0.091 |
|
|
|
|
|
|
|
102 |
A |
2 |
1 |
1. |
9 |
0.111 |
|
|
|
|
|
|
|
103 |
A |
2 |
1 |
1. |
25 |
0.04 |
|
|
|
|
|
|
|
104 |
A |
2 |
1 |
1. |
24 |
0.042 |
|
|
|
|
|
|
|
105 |
A |
3 |
2 |
1. |
19 |
0.105 |
|
|
|
|
|
|
|
106 |
A |
2 |
1 |
1. |
19 |
0.053 |
|
|
|
|
|
|
|
107 |
A |
5 |
4 |
1. |
19 |
0.21 |
|
|
|
|
|
|
|
108 |
A |
5 |
4 |
1. |
16 |
0.25 |
|
|
|
|
|
|
|
109 |
A |
3 |
3 |
1. |
14 |
0.214 |
|
|
|
|
|
|
|
110 |
A |
6 |
5 |
1. |
33 |
0.152 |
|
|
|
|
|
|
|
111 |
A |
5 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
112 |
A |
5 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
113 |
A |
9 |
5 |
1. |
10 |
0.5 |
|
|
|
|
|
|
|
114 |
A |
10 |
9 |
1. |
17 |
0.529 |
|
|
|
|
|
|
|
115 |
A |
6 |
5 |
1. |
26 |
0.192 |
|
|
|
|
|
|
|
116 |
A |
6 |
2 |
1. |
29 |
0.069 |
|
|
|
|
|
|
|
117 |
A |
3 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
118 |
A |
6 |
6 |
1. |
9 |
0.667 |
|
|
|
|
|
|
|
119 |
A |
6 |
6 |
1. |
11 |
0.546 |
|
|
|
|
|
|
|
120 |
A |
1 |
1 |
1. |
13 |
0.077 |
|
|
|
|
|
|
|
|
121 |
A |
4 |
4 |
1. |
13 |
0.308 |
|
|
|
|
|
|
|
122 |
A |
7 |
7 |
1. |
13 |
0.538 |
|
|
|
|
|
|
|
123 |
A |
7 |
7 |
1. |
13 |
0.538 |
|
|
|
|
|
|
|
124 |
A |
3 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
125 |
A |
8 |
7 |
1. |
13 |
0.538 |
|
|
|
|
|
|
|
126 |
A |
1 |
1 |
1. |
15 |
0.067 |
|
|
|
|
|
|
|
127 |
A |
3 |
3 |
1. |
11 |
0.273 |
|
|
|
|
|
|
|
128 |
A |
2 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
129 |
A |
4 |
4 |
1. |
15 |
0.267 |
|
|
|
|
|
|
|
130 |
A |
4 |
4 |
1. |
15 |
0.267 |
|
|
|
|
|
|
|
131 |
A |
3 |
3 |
1. |
15 |
0.2 |
|
|
|
|
|
|
|
132 |
A |
4 |
4 |
1. |
15 |
0.267 |
|
|
|
|
|
|
|
133 |
A |
1 |
1 |
1. |
17 |
0.059 |
|
|
|
|
|
|
|
134 |
A |
2 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
135 |
A |
9 |
6 |
1. |
13 |
0.462 |
|
|
|
|
|
|
|
136 |
A |
6 |
6 |
1. |
9 |
0.667 |
|
|
|
|
|
|
|
137 |
A |
6 |
6 |
1. |
11 |
0.546 |
|
|
|
|
|
|
|
138 |
A |
6 |
6 |
1. |
13 |
0.462 |
|
|
|
|
|
|
|
139 |
A |
6 |
6 |
1. |
13 |
0.462 |
|
|
|
|
|
|
|
140 |
A |
1 |
1 |
1. |
13 |
0.077 |
|
|
|
|
|
|
|
|
141 |
A |
4 |
4 |
1. |
13 |
0.308 |
|
|
|
|
|
|
|
142 |
A |
7 |
7 |
1. |
13 |
0.538 |
|
|
|
|
|
|
|
143 |
A |
7 |
7 |
1. |
13 |
0.538 |
|
|
|
|
|
|
|
144 |
A |
7 |
7 |
1. |
13 |
0.538 |
|
|
|
|
|
|
|
145 |
A |
1 |
1 |
1. |
15 |
0.067 |
|
|
|
|
|
|
|
146 |
A |
22 |
8 |
1. |
13 |
0.615 |
|
|
|
|
|
|
|
147 |
A |
4 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
148 |
A |
4 |
4 |
1. |
16 |
0.25 |
|
|
|
|
|
|
|
149 |
A |
3 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
150 |
A |
5 |
5 |
1. |
26 |
0.192 |
|
|
|
|
|
|
|
151 |
A |
7 |
7 |
1. |
7 |
1. |
|
|
|
|
|
|
|
152 |
A |
4 |
4 |
1. |
18 |
0.222 |
|
|
|
|
|
|
|
153 |
A |
7 |
7 |
1. |
9 |
0.778 |
|
|
|
|
|
|
|
154 |
A |
5 |
4 |
1.54 |
18 |
0.222 |
|
|
|
|
|
|
|
155 |
A |
5 |
5 |
1. |
18 |
0.278 |
|
|
|
|
|
|
|
156 |
A |
5 |
4 |
1. |
16 |
0.25 |
|
|
|
|
|
|
|
157 |
A |
4 |
3 |
1. |
16 |
0.188 |
|
|
|
|
|
|
|
158 |
A |
2 |
1 |
1. |
16 |
0.062 |
|
|
|
|
|
|
|
159 |
A |
2 |
1 |
1. |
9 |
0.111 |
|
|
|
|
|
|
|
160 |
A |
3 |
2 |
1. |
15 |
0.133 |
|
|
|
|
|
|
|
|
161 | A | 3 | 2 | 1. | 11 | 0.182 |
|
|
|
|
|
|
|
162 |
A |
2 |
1 |
1. |
11 |
0.091 |
|
|
|
|
|
|
|
163 |
A |
5 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
164 |
A |
4 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
165 |
A |
2 |
1 |
1. |
11 |
0.091 |
|
|
|
|
|
|
|
166 |
A |
4 |
3 |
1.17 |
11 |
0.273 |
|
|
|
|
|
|
|
167 |
A |
5 |
3 |
1. |
11 |
0.273 |
|
|
|
|
|
|
|
168 |
A |
3 |
3 |
1. |
18 |
0.167 |
|
|
|
|
|
|
|
169 |
A |
3 |
3 |
1. |
18 |
0.167 |
|
|
|
|
|
|
|
170 |
A |
4 |
4 |
1. |
11 |
0.364 |
|
|
|
|
|
|
|
171 |
A |
3 |
3 |
1.22 |
21 |
0.143 |
|
|
|
|
|
|
|
172 |
A |
1 |
1 |
1. |
13 |
0.077 |
|
|
|
|
|
|
|
173 |
A |
3 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
174 |
A |
12 |
8 |
1. |
13 |
0.615 |
|
|
|
|
|
|
|
175 |
A |
5 |
4 |
1. |
13 |
0.308 |
|
|
|
|
|
|
|
176 |
A |
3 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
177 |
A |
8 |
8 |
0.98 |
13 |
0.615 |
|
|
|
|
|
|
|
178 |
A |
5 |
4 |
1. |
16 |
0.25 |
|
|
|
|
|
|
|
179 |
A |
4 |
4 |
1. |
18 |
0.222 |
|
|
|
|
|
|
|
180 |
A |
2 |
1 |
1. |
44 |
0.023 |
|
|
|
|
|
|
|
|
181 |
A |
7 |
6 |
1. |
16 |
0.375 |
|
|
|
|
|
|
|
182 |
A |
7 |
6 |
1. |
22 |
0.273 |
|
|
|
|
|
|
|
183 |
A |
2 |
1 |
1. |
15 |
0.067 |
|
|
|
|
|
|
|
184 |
A |
3 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
185 |
A |
3 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
186 |
A |
2 |
1 |
1.14 |
11 |
0.091 |
|
|
|
|
|
|
|
187 |
A |
2 |
1 |
1. |
11 |
0.091 |
|
|
|
|
|
|
|
188 |
A |
2 |
1 |
1. |
9 |
0.111 |
|
|
|
|
|
|
|
189 |
A |
2 |
1 |
1. |
17 |
0.059 |
|
|
|
|
|
|
|
190 |
A |
2 |
1 |
1. |
19 |
0.053 |
|
|
|
|
|
|
|
191 |
A |
2 |
1 |
1. |
19 |
0.053 |
|
|
|
|
|
|
|
192 |
A |
2 |
1 |
1. |
19 |
0.053 |
|
|
|
|
|
|
|
193 |
A |
2 |
2 |
1. |
19 |
0.105 |
|
|
|
|
|
|
|
194 |
A |
4 |
4 |
1. |
19 |
0.21 |
|
|
|
|
|
|
|
195 |
A |
3 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
196 |
A |
4 |
4 |
1. |
19 |
0.21 |
|
|
|
|
|
|
|
197 |
A |
5 |
4 |
1. |
19 |
0.21 |
|
|
|
|
|
|
|
198 |
A |
2 |
2 |
1. |
21 |
0.095 |
|
|
|
|
|
|
|
199 |
A |
3 |
2 |
1. |
14 |
0.143 |
|
|
|
|
|
|
|
200 |
A |
4 |
4 |
1. |
18 |
0.222 |
|
|
|
|
|
|
|
|
201 |
A |
4 |
3 |
1. |
14 |
0.214 |
|
|
|
|
|
|
|
202 |
A |
7 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
203 |
A |
7 |
6 |
1. |
16 |
0.375 |
|
|
|
|
|
|
|
204 |
A |
8 |
5 |
1. |
14 |
0.357 |
|
|
|
|
|
|
|
205 |
A |
7 |
5 |
1. |
20 |
0.25 |
|
|
|
|
|
|
|
206 |
A |
3 |
2 |
1. |
14 |
0.143 |
|
|
|
|
|
|
|
207 |
A |
6 |
4 |
1. |
13 |
0.308 |
|
|
|
|
|
|
|
208 |
A |
9 |
4 |
1. |
24 |
0.167 |
|
|
|
|
|
|
|
209 |
A |
5 |
2 |
1. |
33 |
0.061 |
|
|
|
|
|
|
|
210 |
A |
4 |
3 |
1. |
11 |
0.273 |
|
|
|
|
|
|
|
211 |
A |
2 |
1 |
1. |
13 |
0.077 |
|
|
|
|
|
|
|
212 |
A |
4 |
3 |
1. |
21 |
0.143 |
|
|
|
|
|
|
|
213 |
A |
5 |
4 |
1. |
19 |
0.21 |
|
|
|
|
|
|
|
214 |
A |
3 |
2 |
1. |
17 |
0.118 |
|
|
|
|
|
|
|
215 |
A |
5 |
3 |
1. |
11 |
0.273 |
|
|
|
|
|
|
|
216 |
A |
9 |
3 |
1. |
13 |
0.231 |
|
|
|
|
|
|
|
217 |
A |
8 |
5 |
1. |
11 |
0.454 |
|
|
|
|
|
|
|
218 |
A |
3 |
3 |
1. |
15 |
0.2 |
|
|
|
|
|
|
|
219 |
A |
4 |
4 |
1.03 |
19 |
0.21 |
|
|
|
|
|
|
|
220 |
A |
15 |
11 |
1. |
27 |
0.407 |
|
|
|
|
|
|
|
|
221 | A | 31 | 14 | 1.05 | 52 | 0.269 |
|
|
|
|
|
|
|
222 |
A |
44 |
19 |
1.79 |
56 |
0.339 |
|
|
|
|
|
|
|
223 |
A |
2 |
2 |
1.16 |
15 |
0.133 |
|
|
|
|
|
|
|
224 |
A |
2 |
2 |
1.2 |
15 |
0.133 |
|
|
|
|
|
|
|
225 |
A |
3 |
3 |
1.19 |
15 |
0.2 |
|
|
|
|
|
|
|
226 |
B |
3 |
3 |
2.81 |
13 |
0.231 |
|
|
|
|
|
|
|
227 |
A |
9 |
9 |
1.09 |
19 |
0.474 |
|
|
|
|
|
|
|
228 |
B |
6 |
6 |
2.69 |
17 |
0.353 |
|
|
|
|
|
|
|
229 |
A |
2 |
2 |
1. |
12 |
0.167 |
|
|
|
|
|
|
|
230 |
A |
4 |
4 |
1. |
17 |
0.235 |
|
|
|
|
|
|
|
231 |
A |
7 |
6 |
1. |
17 |
0.353 |
|
|
|
|
|
|
|
232 |
B |
3 |
3 |
2.51 |
17 |
0.176 |
|
|
|
|
|
|
|
233 |
A |
3 |
3 |
1. |
17 |
0.176 |
|
|
|
|
|
|
|
234 |
A |
5 |
4 |
1. |
17 |
0.235 |
|
|
|
|
|
|
|
235 |
A |
2 |
2 |
1. |
14 |
0.143 |
|
|
|
|
|
|
|
236 |
A |
2 |
2 |
1. |
14 |
0.143 |
|
|
|
|
|
|
|
237 |
A |
2 |
2 |
1. |
14 |
0.143 |
|
|
|
|
|
|
|
238 |
A |
2 |
2 |
1. |
19 |
0.105 |
|
|
|
|
|
|
|
239 |
A |
2 |
2 |
1. |
19 |
0.105 |
|
|
|
|
|
|
|
240 |
A |
3 |
3 |
1. |
22 |
0.136 |
|
|
|
|
|
|
|
|
241 |
A |
3 |
3 |
1. |
22 |
0.136 |
|
|
|
|
|
|
|
242 |
A |
5 |
4 |
1. |
17 |
0.235 |
|
|
|
|
|
|
|
243 |
A |
5 |
5 |
1. |
21 |
0.238 |
|
|
|
|
|
|
|
244 |
A |
9 |
7 |
1. |
20 |
0.35 |
|
|
|
|
|
|
|
245 |
A |
5 |
5 |
1. |
24 |
0.208 |
|
|
|
|
|
|
|
246 |
A |
5 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
247 |
A |
5 |
4 |
1. |
30 |
0.133 |
|
|
|
|
|
|
|
248 |
A |
5 |
4 |
1.11 |
32 |
0.125 |
|
|
|
|
|
|
|
249 |
A |
2 |
2 |
1. |
30 |
0.067 |
|
|
|
|
|
|
|
250 |
A |
4 |
3 |
1. |
15 |
0.2 |
|
|
|
|
|
|
|
251 |
A |
3 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
252 |
A |
3 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
253 |
A |
3 |
2 |
1. |
20 |
0.1 |
|
|
|
|
|
|
|
254 |
A |
2 |
2 |
1. |
18 |
0.111 |
|
|
|
|
|
|
|
255 |
A |
4 |
4 |
1. |
17 |
0.235 |
|
|
|
|
|
|
|
256 |
A |
3 |
3 |
1. |
17 |
0.176 |
|
|
|
|
|
|
|
257 |
A |
5 |
5 |
1. |
20 |
0.25 |
|
|
|
|
|
|
|
258 |
A |
4 |
4 |
1. |
24 |
0.167 |
|
|
|
|
|
|
|
259 |
A |
15 |
9 |
1. |
33 |
0.273 |
|
|
|
|
|
|
|
260 |
A |
32 |
14 |
1. |
44 |
0.318 |
|
|
|
|
|
|
|
|
261 |
A |
4 |
4 |
1. |
16 |
0.25 |
|
|
|
|
|
|
|
262 |
A |
5 |
5 |
1. |
18 |
0.278 |
|
|
|
|
|
|
|
263 |
A |
6 |
5 |
1. |
18 |
0.278 |
|
|
|
|
|
|
|
264 |
A |
5 |
5 |
1. |
19 |
0.263 |
|
|
|
|
|
|
|
265 |
A |
4 |
4 |
1. |
24 |
0.167 |
|
|
|
|
|
|
|
266 |
A |
2 |
2 |
1. |
10 |
0.2 |
|
|
|
|
|
|
|
267 |
A |
4 |
4 |
1. |
14 |
0.286 |
|
|
|
|
|
|
|
268 |
A |
1 |
1 |
1. |
10 |
0.1 |
|
|
|
|
|
|
|
269 |
A |
1 |
1 |
1. |
12 |
0.083 |
|
|
|
|
|
|
|
270 |
A |
4 |
4 |
1. |
14 |
0.286 |
|
|
|
|
|
|
|
271 |
A |
5 |
5 |
1. |
14 |
0.357 |
|
|
|
|
|
|
|
272 |
A |
4 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
273 |
A |
5 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
274 |
A |
3 |
3 |
1. |
14 |
0.214 |
|
|
|
|
|
|
|
275 |
A |
4 |
4 |
1. |
14 |
0.286 |
|
|
|
|
|
|
|
276 |
A |
4 |
4 |
1. |
14 |
0.286 |
|
|
|
|
|
|
|
277 |
A |
5 |
5 |
1. |
14 |
0.357 |
|
|
|
|
|
|
|
278 |
A |
2 |
2 |
1. |
16 |
0.125 |
|
|
|
|
|
|
|
279 |
A |
10 |
7 |
1. |
22 |
0.318 |
|
|
|
|
|
|
|
280 |
A |
6 |
6 |
1. |
18 |
0.333 |
|
|
|
|
|
|
|
|
281 | A | 6 | 6 | 1. | 28 | 0.214 |
|
|
|
|
|
|
|
282 |
A |
4 |
4 |
1. |
34 |
0.118 |
|
|
|
|
|
|
|
283 |
A |
14 |
10 |
1. |
24 |
0.417 |
|
|
|
|
|
|
|
284 |
A |
3 |
2 |
1. |
12 |
0.167 |
|
|
|
|
|
|
|
285 |
A |
2 |
2 |
1. |
14 |
0.143 |
|
|
|
|
|
|
|
286 |
A |
2 |
2 |
1. |
14 |
0.143 |
|
|
|
|
|
|
|
287 |
A |
5 |
4 |
1. |
16 |
0.25 |
|
|
|
|
|
|
|
288 |
A |
3 |
2 |
1.31 |
14 |
0.143 |
|
|
|
|
|
|
|
289 |
A |
7 |
6 |
1. |
23 |
0.261 |
|
|
|
|
|
|
|
290 |
A |
26 |
8 |
1. |
29 |
0.276 |
|
|
|
|
|
|
|
291 |
A |
36 |
8 |
1. |
31 |
0.258 |
|
|
|
|
|
|
|
292 |
A |
4 |
3 |
1. |
11 |
0.273 |
|
|
|
|
|
|
|
293 |
A |
1 |
1 |
1. |
15 |
0.067 |
|
|
|
|
|
|
|
294 |
A |
6 |
6 |
1. |
13 |
0.462 |
|
|
|
|
|
|
|
295 |
A |
2 |
1 |
1. |
13 |
0.077 |
|
|
|
|
|
|
|
296 |
A |
6 |
6 |
1. |
17 |
0.353 |
|
|
|
|
|
|
|
297 |
A |
3 |
2 |
1. |
15 |
0.133 |
|
|
|
|
|
|
|
298 |
A |
13 |
9 |
1. |
17 |
0.529 |
|
|
|
|
|
|
|
299 |
A |
1 |
1 |
1. |
13 |
0.077 |
|
|
|
|
|
|
|
300 |
A |
1 |
1 |
1. |
13 |
0.077 |
|
|
|
|
|
|
|
|
301 |
A |
5 |
5 |
1. |
15 |
0.333 |
|
|
|
|
|
|
|
302 |
A |
6 |
6 |
1. |
13 |
0.462 |
|
|
|
|
|
|
|
303 |
A |
5 |
5 |
1. |
15 |
0.333 |
|
|
|
|
|
|
|
304 |
A |
6 |
5 |
1. |
15 |
0.333 |
|
|
|
|
|
|
|
305 |
A |
6 |
6 |
1. |
15 |
0.4 |
|
|
|
|
|
|
|
306 |
B |
12 |
12 |
2.15 |
13 |
0.923 |
|
|
|
|
|
|
|
307 |
A |
8 |
6 |
0.9 |
13 |
0.462 |
|
|
|
|
|
|
|
308 |
A |
3 |
3 |
1. |
22 |
0.136 |
|
|
|
|
|
|
|
309 |
A |
5 |
5 |
1. |
16 |
0.312 |
|
|
|
|
|
|
|
310 |
A |
5 |
5 |
1. |
18 |
0.278 |
|
|
|
|
|
|
|
311 |
A |
3 |
3 |
1. |
23 |
0.13 |
|
|
|
|
|
|
|
312 |
A |
1 |
1 |
1. |
23 |
0.043 |
|
|
|
|
|
|
|
313 |
A |
9 |
4 |
1. |
39 |
0.103 |
|
|
|
|
|
|
|
314 |
A |
7 |
7 |
1. |
17 |
0.412 |
|
|
|
|
|
|
|
315 |
A |
10 |
7 |
1. |
17 |
0.412 |
|
|
|
|
|
|
|
316 |
A |
2 |
2 |
1. |
15 |
0.133 |
|
|
|
|
|
|
|
317 |
A |
5 |
5 |
1. |
17 |
0.294 |
|
|
|
|
|
|
|
318 |
A |
3 |
2 |
1.23 |
17 |
0.118 |
|
|
|
|
|
|
|
319 |
A |
10 |
10 |
1. |
32 |
0.312 |
|
|
|
|
|
|
|
320 |
A |
2 |
2 |
1. |
24 |
0.083 |
|
|
|
|
|
|
|
|
321 |
A |
2 |
2 |
1. |
24 |
0.083 |
|
|
|
|
|
|
|
322 |
A |
6 |
6 |
1.44 |
18 |
0.333 |
|
|
|
|
|
|
|
323 |
A |
6 |
6 |
1.44 |
18 |
0.333 |
|
|
|
|
|
|
|
324 |
A |
2 |
2 |
1. |
27 |
0.074 |
|
|
|
|
|
|
|
325 |
A |
2 |
2 |
1. |
27 |
0.074 |
|
|
|
|
|
|
|
326 |
A |
1 |
1 |
1. |
21 |
0.048 |
|
|
|
|
|
|
|
327 |
A |
1 |
1 |
1. |
44 |
0.023 |
|
|
|
|
|
|
|
328 |
A |
2 |
2 |
1. |
27 |
0.074 |
|
|
|
|
|
|
|
329 |
A |
2 |
2 |
1. |
31 |
0.065 |
|
|
|
|
|
|
|
330 |
A |
2 |
2 |
1. |
4 |
0.5 |
|
|
|
|
|
|
|
331 |
A |
2 |
1 |
1. |
4 |
0.25 |
|
|
|
|
|
|
|
332 |
A |
3 |
2 |
1. |
4 |
0.5 |
|
|
|
|
|
|
|
333 |
A |
4 |
2 |
1. |
4 |
0.5 |
|
|
|
|
|
|
|
334 |
A |
5 |
2 |
1. |
4 |
0.5 |
|
|
|
|
|
|
|
335 |
B |
3 |
2 |
3.2 |
14 |
0.143 |
|
|
|
|
|
|
|
336 |
A |
2 |
1 |
1. |
14 |
0.071 |
|
|
|
|
|
|
|
337 |
A |
2 |
1 |
1. |
4 |
0.25 |
|
|
|
|
|
|
|
338 |
A |
4 |
2 |
1. |
4 |
0.5 |
|
|
|
|
|
|
|
339 |
A |
2 |
1 |
1. |
4 |
0.25 |
|
|
|
|
|
|
|
340 |
A |
2 |
2 |
1. |
12 |
0.167 |
|
|
|
|
|
|
|
|
341 | A | 4 | 2 | 1. | 4 | 0.5 |
|
|
|
|
|
|
|
342 |
A |
3 |
2 |
1. |
4 |
0.5 |
|
|
|
|
|
|
|
343 |
A |
3 |
2 |
1. |
14 |
0.143 |
|
|
|
|
|
|
|
344 |
A |
6 |
3 |
1. |
9 |
0.333 |
|
|
|
|
|
|
|
345 |
A |
3 |
2 |
1. |
9 |
0.222 |
|
|
|
|
|
|
|
346 |
A |
4 |
3 |
1. |
7 |
0.429 |
|
|
|
|
|
|
|
347 |
A |
3 |
2 |
1. |
9 |
0.222 |
|
|
|
|
|
|
|
348 |
A |
3 |
3 |
1. |
9 |
0.333 |
|
|
|
|
|
|
|
349 |
A |
5 |
3 |
1. |
9 |
0.333 |
|
|
|
|
|
|
|
350 |
A |
7 |
3 |
1. |
9 |
0.333 |
|
|
|
|
|
|
|
351 |
A |
9 |
3 |
1. |
9 |
0.333 |
|
|
|
|
|
|
|
352 |
A |
1 |
1 |
1. |
13 |
0.077 |
|
|
|
|
|
|
|
353 |
A |
3 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
354 |
A |
2 |
2 |
1. |
9 |
0.222 |
|
|
|
|
|
|
|
355 |
A |
2 |
1 |
1. |
7 |
0.143 |
|
|
|
|
|
|
|
356 |
A |
2 |
2 |
1. |
7 |
0.286 |
|
|
|
|
|
|
|
357 |
A |
3 |
3 |
1. |
9 |
0.333 |
|
|
|
|
|
|
|
358 |
A |
3 |
2 |
1. |
9 |
0.222 |
|
|
|
|
|
|
|
359 |
A |
3 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
360 |
A |
3 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
|
361 |
A |
4 |
3 |
1. |
9 |
0.333 |
|
|
|
|
|
|
|
362 |
A |
3 |
3 |
1. |
29 |
0.103 |
|
|
|
|
|
|
|
363 |
A |
8 |
5 |
0.95 |
22 |
0.227 |
|
|
|
|
|
|
|
364 |
A |
15 |
7 |
1. |
17 |
0.412 |
|
|
|
|
|
|
|
365 |
A |
4 |
3 |
1. |
17 |
0.176 |
|
|
|
|
|
|
|
366 |
A |
4 |
2 |
1. |
9 |
0.222 |
|
|
|
|
|
|
|
367 |
A |
4 |
3 |
1. |
7 |
0.429 |
|
|
|
|
|
|
|
368 |
A |
1 |
1 |
1. |
7 |
0.143 |
|
|
|
|
|
|
|
369 |
A |
4 |
4 |
1. |
9 |
0.444 |
|
|
|
|
|
|
|
370 |
A |
6 |
2 |
1. |
9 |
0.222 |
|
|
|
|
|
|
|
371 |
A |
4 |
3 |
1. |
9 |
0.333 |
|
|
|
|
|
|
|
372 |
A |
3 |
1 |
1. |
9 |
0.111 |
|
|
|
|
|
|
|
373 |
A |
7 |
6 |
1.02 |
11 |
0.546 |
|
|
|
|
|
|
|
374 |
A |
5 |
5 |
1.55 |
9 |
0.556 |
|
|
|
|
|
|
|
375 |
A |
5 |
4 |
1. |
16 |
0.25 |
|
|
|
|
|
|
|
376 |
A |
3 |
3 |
1.57 |
14 |
0.214 |
|
|
|
|
|
|
|
377 |
B |
3 |
3 |
2.85 |
12 |
0.25 |
|
|
|
|
|
|
|
378 |
A |
2 |
1 |
1. |
16 |
0.062 |
|
|
|
|
|
|
|
379 |
A |
6 |
4 |
1. |
10 |
0.4 |
|
|
|
|
|
|
|
380 |
A |
4 |
3 |
1. |
9 |
0.333 |
|
|
|
|
|
|
|
|
381 |
A |
3 |
2 |
1. |
9 |
0.222 |
|
|
|
|
|
|
|
382 |
A |
4 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
383 |
A |
2 |
1 |
1. |
9 |
0.111 |
|
|
|
|
|
|
|
384 |
A |
2 |
2 |
1. |
7 |
0.286 |
|
|
|
|
|
|
|
385 |
A |
4 |
3 |
1. |
9 |
0.333 |
|
|
|
|
|
|
|
386 |
A |
4 |
3 |
1. |
9 |
0.333 |
|
|
|
|
|
|
|
387 |
A |
5 |
5 |
1. |
7 |
0.714 |
|
|
|
|
|
|
|
388 |
A |
4 |
2 |
1. |
7 |
0.286 |
|
|
|
|
|
|
|
389 |
A |
4 |
2 |
1. |
9 |
0.222 |
|
|
|
|
|
|
|
390 |
A |
1 |
1 |
1. |
10 |
0.1 |
|
|
|
|
|
|
|
391 |
A |
1 |
1 |
1. |
12 |
0.083 |
|
|
|
|
|
|
|
392 |
A |
2 |
2 |
1. |
10 |
0.2 |
|
|
|
|
|
|
|
393 |
A |
2 |
2 |
1. |
12 |
0.167 |
|
|
|
|
|
|
|
394 |
A |
3 |
3 |
1. |
12 |
0.25 |
|
|
|
|
|
|
|
395 |
A |
3 |
2 |
1. |
14 |
0.143 |
|
|
|
|
|
|
|
396 |
A |
4 |
2 |
1. |
32 |
0.062 |
|
|
|
|
|
|
|
397 |
A |
11 |
8 |
1. |
6 |
1.333 |
|
|
|
|
|
|
|
398 |
A |
9 |
9 |
1.21 |
8 |
1.125 |
|
|
|
|
|
|
|
399 |
A |
6 |
5 |
1. |
12 |
0.417 |
|
|
|
|
|
|
|
400 |
A |
4 |
2 |
1. |
32 |
0.062 |
|
|
|
|
|
|
|
|
401 | A | 19 | 12 | 1.58 | 13 | 0.923 |
|
|
|
|
|
|
|
402 |
A |
1 |
1 |
1. |
11 |
0.091 |
|
|
|
|
|
|
|
403 |
A |
1 |
1 |
1. |
11 |
0.091 |
|
|
|
|
|
|
|
404 |
A |
2 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
405 |
A |
6 |
5 |
1. |
16 |
0.312 |
|
|
|
|
|
|
|
406 |
A |
4 |
3 |
1. |
13 |
0.231 |
|
|
|
|
|
|
|
407 |
A |
4 |
3 |
1. |
13 |
0.231 |
|
|
|
|
|
|
|
408 |
A |
1 |
1 |
1. |
13 |
0.077 |
|
|
|
|
|
|
|
409 |
A |
2 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
410 |
A |
3 |
3 |
1. |
11 |
0.273 |
|
|
|
|
|
|
|
411 |
A |
6 |
4 |
1.4 |
35 |
0.114 |
|
|
|
|
|
|
|
412 |
A |
5 |
4 |
1.53 |
11 |
0.364 |
|
|
|
|
|
|
|
413 |
B |
13 |
9 |
2.22 |
11 |
0.818 |
|
|
|
|
|
|
|
414 |
A |
4 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
415 |
A |
4 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
416 |
B |
27 |
11 |
2.17 |
27 |
0.407 |
|
|
|
|
|
|
|
417 |
A |
66 |
20 |
1.83 |
41 |
0.488 |
|
|
|
|
|
|
|
418 |
A |
13 |
4 |
1.13 |
28 |
0.143 |
|
|
|
|
|
|
|
419 |
A |
5 |
3 |
0.92 |
15 |
0.2 |
|
|
|
|
|
|
|
420 |
A |
5 |
3 |
1. |
18 |
0.167 |
|
|
|
|
|
|
|
|
421 |
A |
5 |
4 |
1. |
20 |
0.2 |
|
|
|
|
|
|
|
422 |
A |
4 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
423 |
A |
3 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
424 |
A |
4 |
3 |
1. |
22 |
0.136 |
|
|
|
|
|
|
|
425 |
A |
4 |
3 |
1. |
23 |
0.13 |
|
|
|
|
|
|
|
426 |
A |
18 |
14 |
1.07 |
33 |
0.424 |
|
|
|
|
|
|
|
427 |
A |
27 |
6 |
1. |
39 |
0.154 |
|
|
|
|
|
|
|
428 |
A |
5 |
3 |
1. |
17 |
0.176 |
|
|
|
|
|
|
|
429 |
A |
3 |
3 |
1. |
11 |
0.273 |
|
|
|
|
|
|
|
430 |
A |
5 |
4 |
1. |
11 |
0.364 |
|
|
|
|
|
|
|
431 |
A |
1 |
1 |
1. |
11 |
0.091 |
|
|
|
|
|
|
|
432 |
A |
6 |
6 |
1. |
13 |
0.462 |
|
|
|
|
|
|
|
433 |
A |
11 |
9 |
1.05 |
28 |
0.321 |
|
|
|
|
|
|
|
434 |
A |
7 |
6 |
1. |
12 |
0.5 |
|
|
|
|
|
|
|
435 |
A |
4 |
4 |
1. |
12 |
0.333 |
|
|
|
|
|
|
|
436 |
A |
10 |
10 |
1. |
22 |
0.454 |
|
|
|
|
|
|
|
437 |
A |
5 |
4 |
1. |
23 |
0.174 |
|
|
|
|
|
|
|
438 |
A |
16 |
12 |
1. |
31 |
0.387 |
|
|
|
|
|
|
|
439 |
A |
10 |
7 |
1. |
48 |
0.146 |
|
|
|
|
|
|
|
440 |
A |
7 |
5 |
1. |
15 |
0.333 |
|
|
|
|
|
|
|
|
441 |
A |
6 |
5 |
1. |
15 |
0.333 |
|
|
|
|
|
|
|
442 |
A |
6 |
6 |
1. |
19 |
0.316 |
|
|
|
|
|
|
|
443 |
A |
7 |
7 |
1. |
15 |
0.467 |
|
|
|
|
|
|
|
444 |
A |
6 |
6 |
1. |
19 |
0.316 |
|
|
|
|
|
|
|
445 |
A |
6 |
6 |
1. |
20 |
0.3 |
|
|
|
|
|
|
|
446 |
A |
29 |
16 |
1.31 |
61 |
0.262 |
|
|
|
|
|
|
|
447 |
B |
21 |
10 |
2.08 |
29 |
0.345 |
|
|
|
|
|
|
|
448 |
A |
7 |
7 |
1. |
20 |
0.35 |
|
|
|
|
|
|
|
449 |
A |
14 |
10 |
1.71 |
15 |
0.667 |
|
|
|
|
|
|
|
450 |
A |
4 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
451 |
A |
2 |
2 |
1. |
33 |
0.061 |
|
|
|
|
|
|
|
452 |
A |
15 |
9 |
1.3 |
31 |
0.29 |
|
|
|
|
|
|
|
453 |
A |
14 |
10 |
1.25 |
52 |
0.192 |
|
|
|
|
|
|
|
454 |
A |
4 |
3 |
1. |
15 |
0.2 |
|
|
|
|
|
|
|
455 |
A |
14 |
10 |
1.51 |
15 |
0.667 |
|
|
|
|
|
|
|
456 |
A |
3 |
3 |
1.06 |
11 |
0.273 |
|
|
|
|
|
|
|
457 |
A |
6 |
5 |
1. |
11 |
0.454 |
|
|
|
|
|
|
|
458 |
A |
3 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
459 |
A |
4 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
460 |
A |
3 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
|
461 | A | 5 | 4 | 1. | 13 | 0.308 |
|
|
|
|
|
|
|
462 |
A |
6 |
4 |
1. |
13 |
0.308 |
|
|
|
|
|
|
|
463 |
A |
1 |
1 |
1. |
7 |
0.143 |
|
|
|
|
|
|
|
464 |
A |
3 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
465 |
A |
4 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
466 |
A |
3 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
467 |
A |
3 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
468 |
A |
2 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
469 |
A |
2 |
2 |
1. |
12 |
0.167 |
|
|
|
|
|
|
|
470 |
A |
3 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
471 |
A |
2 |
1 |
1. |
13 |
0.077 |
|
|
|
|
|
|
|
472 |
A |
3 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
473 |
A |
3 |
3 |
1. |
23 |
0.13 |
|
|
|
|
|
|
|
474 |
A |
2 |
2 |
1. |
19 |
0.105 |
|
|
|
|
|
|
|
475 |
A |
2 |
2 |
1. |
15 |
0.133 |
|
|
|
|
|
|
|
476 |
A |
3 |
2 |
1. |
15 |
0.133 |
|
|
|
|
|
|
|
477 |
A |
3 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
478 |
A |
2 |
2 |
1. |
14 |
0.143 |
|
|
|
|
|
|
|
479 |
A |
2 |
1 |
1. |
12 |
0.083 |
|
|
|
|
|
|
|
480 |
A |
2 |
1 |
1. |
16 |
0.062 |
|
|
|
|
|
|
|
|
481 |
A |
2 |
2 |
1. |
20 |
0.1 |
|
|
|
|
|
|
|
482 |
A |
2 |
2 |
1. |
25 |
0.08 |
|
|
|
|
|
|
|
483 |
A |
9 |
4 |
1. |
8 |
0.5 |
|
|
|
|
|
|
|
484 |
A |
8 |
4 |
1. |
8 |
0.5 |
|
|
|
|
|
|
|
485 |
A |
13 |
4 |
1. |
8 |
0.5 |
|
|
|
|
|
|
|
486 |
A |
4 |
4 |
1. |
10 |
0.4 |
|
|
|
|
|
|
|
487 |
A |
6 |
5 |
1. |
10 |
0.5 |
|
|
|
|
|
|
|
488 |
A |
5 |
4 |
1. |
8 |
0.5 |
|
|
|
|
|
|
|
489 |
A |
3 |
3 |
1. |
8 |
0.375 |
|
|
|
|
|
|
|
490 |
A |
8 |
8 |
1. |
8 |
1. |
|
|
|
|
|
|
|
491 |
A |
7 |
7 |
1. |
6 |
1.167 |
|
|
|
|
|
|
|
492 |
A |
2 |
2 |
1. |
18 |
0.111 |
|
|
|
|
|
|
|
493 |
A |
3 |
3 |
1. |
15 |
0.2 |
|
|
|
|
|
|
|
494 |
A |
2 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
495 |
A |
9 |
4 |
1.21 |
22 |
0.182 |
|
|
|
|
|
|
|
496 |
A |
3 |
1 |
1. |
11 |
0.091 |
|
|
|
|
|
|
|
497 |
A |
4 |
3 |
1. |
13 |
0.231 |
|
|
|
|
|
|
|
498 |
A |
3 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
499 |
A |
4 |
3 |
1. |
13 |
0.231 |
|
|
|
|
|
|
|
500 |
A |
4 |
4 |
1.08 |
13 |
0.308 |
|
|
|
|
|
|
|
|
501 |
A |
4 |
3 |
1. |
15 |
0.2 |
|
|
|
|
|
|
|
502 |
A |
3 |
1 |
1. |
11 |
0.091 |
|
|
|
|
|
|
|
503 |
A |
6 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
504 |
A |
7 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
505 |
A |
8 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
506 |
A |
2 |
2 |
1.11 |
13 |
0.154 |
|
|
|
|
|
|
|
507 |
A |
3 |
1 |
1. |
13 |
0.077 |
|
|
|
|
|
|
|
508 |
A |
6 |
2 |
1. |
15 |
0.133 |
|
|
|
|
|
|
|
509 |
A |
7 |
2 |
1. |
15 |
0.133 |
|
|
|
|
|
|
|
510 |
A |
8 |
2 |
1. |
15 |
0.133 |
|
|
|
|
|
|
|
511 |
A |
2 |
2 |
1.11 |
15 |
0.133 |
|
|
|
|
|
|
|
512 |
A |
2 |
1 |
1. |
7 |
0.143 |
|
|
|
|
|
|
|
513 |
A |
3 |
2 |
1. |
9 |
0.222 |
|
|
|
|
|
|
|
514 |
A |
3 |
2 |
1. |
9 |
0.222 |
|
|
|
|
|
|
|
515 |
A |
3 |
2 |
1. |
9 |
0.222 |
|
|
|
|
|
|
|
516 |
A |
2 |
2 |
1. |
9 |
0.222 |
|
|
|
|
|
|
|
517 |
A |
2 |
1 |
1. |
9 |
0.111 |
|
|
|
|
|
|
|
518 |
A |
3 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
519 |
A |
3 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
520 |
A |
3 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
|
521 | A | 2 | 2 | 1. | 11 | 0.182 |
|
|
|
|
|
|
|
522 |
A |
4 |
4 |
1. |
11 |
0.364 |
|
|
|
|
|
|
|
523 |
A |
7 |
7 |
1.23 |
15 |
0.467 |
|
|
|
|
|
|
|
524 |
A |
3 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
525 |
A |
5 |
5 |
1. |
24 |
0.208 |
|
|
|
|
|
|
|
526 |
A |
6 |
5 |
1. |
29 |
0.172 |
|
|
|
|
|
|
|
527 |
A |
2 |
2 |
1. |
21 |
0.095 |
|
|
|
|
|
|
|
528 |
A |
6 |
6 |
1. |
15 |
0.4 |
|
|
|
|
|
|
|
529 |
A |
2 |
2 |
1. |
15 |
0.133 |
|
|
|
|
|
|
|
530 |
A |
3 |
3 |
1. |
17 |
0.176 |
|
|
|
|
|
|
|
531 |
A |
3 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
532 |
A |
3 |
3 |
1. |
39 |
0.077 |
|
|
|
|
|
|
|
533 |
A |
4 |
4 |
1.54 |
17 |
0.235 |
|
|
|
|
|
|
|
534 |
A |
3 |
2 |
1. |
21 |
0.095 |
|
|
|
|
|
|
|
535 |
A |
4 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
536 |
A |
3 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
537 |
A |
3 |
2 |
1. |
9 |
0.222 |
|
|
|
|
|
|
|
538 |
A |
5 |
3 |
1. |
12 |
0.25 |
|
|
|
|
|
|
|
539 |
A |
6 |
6 |
1. |
13 |
0.462 |
|
|
|
|
|
|
|
540 |
A |
1 |
1 |
1. |
25 |
0.04 |
|
|
|
|
|
|
|
|
541 |
A |
1 |
1 |
1. |
10 |
0.1 |
|
|
|
|
|
|
|
542 |
A |
6 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
543 |
A |
2 |
2 |
1. |
16 |
0.125 |
|
|
|
|
|
|
|
544 |
A |
2 |
2 |
1. |
10 |
0.2 |
|
|
|
|
|
|
|
545 |
A |
2 |
2 |
1. |
10 |
0.2 |
|
|
|
|
|
|
|
546 |
A |
3 |
3 |
1. |
16 |
0.188 |
|
|
|
|
|
|
|
547 |
A |
4 |
3 |
1. |
14 |
0.214 |
|
|
|
|
|
|
|
548 |
A |
4 |
3 |
1. |
22 |
0.136 |
|
|
|
|
|
|
|
549 |
A |
5 |
3 |
1.47 |
10 |
0.3 |
|
|
|
|
|
|
|
550 |
A |
1 |
1 |
1. |
10 |
0.1 |
|
|
|
|
|
|
|
551 |
A |
2 |
2 |
1.51 |
10 |
0.2 |
|
|
|
|
|
|
|
552 |
A |
2 |
2 |
1. |
10 |
0.2 |
|
|
|
|
|
|
|
553 |
A |
2 |
2 |
1. |
12 |
0.167 |
|
|
|
|
|
|
|
554 |
A |
2 |
2 |
1. |
10 |
0.2 |
|
|
|
|
|
|
|
555 |
A |
2 |
2 |
1. |
12 |
0.167 |
|
|
|
|
|
|
|
556 |
A |
1 |
1 |
1. |
18 |
0.056 |
|
|
|
|
|
|
|
557 |
A |
7 |
6 |
1.1 |
16 |
0.375 |
|
|
|
|
|
|
|
558 |
A |
1 |
1 |
1. |
14 |
0.071 |
|
|
|
|
|
|
|
559 |
A |
7 |
6 |
1.05 |
16 |
0.375 |
|
|
|
|
|
|
|
560 |
A |
7 |
6 |
1.04 |
18 |
0.333 |
|
|
|
|
|
|
|
|
561 |
A |
1 |
1 |
1. |
16 |
0.062 |
|
|
|
|
|
|
|
562 |
A |
7 |
6 |
1.09 |
14 |
0.429 |
|
|
|
|
|
|
|
563 |
A |
1 |
1 |
1. |
16 |
0.062 |
|
|
|
|
|
|
|
564 |
A |
4 |
3 |
1. |
7 |
0.429 |
|
|
|
|
|
|
|
565 |
A |
11 |
5 |
1. |
9 |
0.556 |
|
|
|
|
|
|
|
566 |
A |
11 |
5 |
1. |
11 |
0.454 |
|
|
|
|
|
|
|
567 |
A |
31 |
8 |
1.35 |
15 |
0.533 |
|
|
|
|
|
|
|
568 |
A |
11 |
5 |
1. |
13 |
0.385 |
|
|
|
|
|
|
|
569 |
A |
24 |
6 |
1. |
17 |
0.353 |
|
|
|
|
|
|
|
570 |
A |
1 |
1 |
1. |
2 |
0.5 |
|
|
|
|
|
|
|
571 |
A |
1 |
1 |
1. |
2 |
0.5 |
|
|
|
|
|
|
|
572 |
A |
1 |
1 |
1. |
2 |
0.5 |
|
|
|
|
|
|
|
573 |
A |
1 |
1 |
1. |
2 |
0.5 |
|
|
|
|
|
|
|
574 |
A |
1 |
1 |
1. |
2 |
0.5 |
|
|
|
|
|
|
|
575 |
A |
1 |
1 |
1. |
2 |
0.5 |
|
|
|
|
|
|
|
576 |
A |
2 |
2 |
1. |
4 |
0.5 |
|
|
|
|
|
|
|
577 |
A |
2 |
1 |
1. |
4 |
0.25 |
|
|
|
|
|
|
|
578 |
A |
3 |
2 |
1. |
4 |
0.5 |
|
|
|
|
|
|
|
579 |
A |
2 |
2 |
1. |
4 |
0.5 |
|
|
|
|
|
|
|
580 |
A |
3 |
2 |
1. |
4 |
0.5 |
|
|
|
|
|
|
|
|
581 | A | 4 | 3 | 1. | 7 | 0.429 |
|
|
|
|
|
|
|
582 |
A |
3 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
583 |
A |
2 |
2 |
1.02 |
8 |
0.25 |
|
|
|
|
|
|
|
584 |
A |
2 |
2 |
1. |
6 |
0.333 |
|
|
|
|
|
|
|
585 |
A |
2 |
2 |
1. |
8 |
0.25 |
|
|
|
|
|
|
|
586 |
A |
2 |
2 |
1. |
14 |
0.143 |
|
|
|
|
|
|
|
587 |
A |
2 |
2 |
1. |
15 |
0.133 |
|
|
|
|
|
|
|
588 |
A |
3 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
589 |
A |
5 |
3 |
1. |
23 |
0.13 |
|
|
|
|
|
|
|
590 |
A |
5 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
591 |
A |
5 |
2 |
1. |
15 |
0.133 |
|
|
|
|
|
|
|
592 |
A |
8 |
4 |
1.48 |
31 |
0.129 |
|
|
|
|
|
|
|
593 |
A |
3 |
3 |
1. |
15 |
0.2 |
|
|
|
|
|
|
|
594 |
A |
5 |
3 |
1. |
21 |
0.143 |
|
|
|
|
|
|
|
595 |
A |
2 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
596 |
A |
3 |
3 |
1. |
6 |
0.5 |
|
|
|
|
|
|
|
597 |
A |
3 |
3 |
1. |
6 |
0.5 |
|
|
|
|
|
|
|
598 |
A |
13 |
7 |
1. |
16 |
0.438 |
|
|
|
|
|
|
|
599 |
A |
8 |
4 |
1. |
13 |
0.308 |
|
|
|
|
|
|
|
600 |
A |
3 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
|
601 |
A |
3 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
602 |
A |
2 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
603 |
A |
3 |
3 |
1.46 |
13 |
0.231 |
|
|
|
|
|
|
|
604 |
A |
2 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
605 |
A |
4 |
3 |
1. |
12 |
0.25 |
|
|
|
|
|
|
|
606 |
A |
3 |
2 |
1. |
14 |
0.143 |
|
|
|
|
|
|
|
607 |
A |
3 |
2 |
1. |
18 |
0.111 |
|
|
|
|
|
|
|
608 |
A |
1 |
1 |
1. |
6 |
0.167 |
|
|
|
|
|
|
|
609 |
A |
2 |
2 |
1. |
8 |
0.25 |
|
|
|
|
|
|
|
610 |
A |
2 |
2 |
1. |
10 |
0.2 |
|
|
|
|
|
|
|
611 |
A |
2 |
1 |
1. |
8 |
0.125 |
|
|
|
|
|
|
|
612 |
A |
4 |
4 |
1. |
10 |
0.4 |
|
|
|
|
|
|
|
613 |
A |
6 |
2 |
1. |
14 |
0.143 |
|
|
|
|
|
|
|
614 |
A |
13 |
8 |
1.22 |
16 |
0.5 |
|
|
|
|
|
|
|
615 |
A |
5 |
3 |
1. |
8 |
0.375 |
|
|
|
|
|
|
|
616 |
A |
2 |
2 |
1. |
10 |
0.2 |
|
|
|
|
|
|
|
617 |
A |
2 |
2 |
1. |
10 |
0.2 |
|
|
|
|
|
|
|
618 |
A |
2 |
2 |
1. |
8 |
0.25 |
|
|
|
|
|
|
|
619 |
A |
2 |
2 |
1. |
12 |
0.167 |
|
|
|
|
|
|
|
620 |
A |
2 |
2 |
1. |
12 |
0.167 |
|
|
|
|
|
|
|
|
621 |
A |
2 |
2 |
1. |
14 |
0.143 |
|
|
|
|
|
|
|
622 |
A |
3 |
2 |
1. |
16 |
0.125 |
|
|
|
|
|
|
|
623 |
A |
3 |
2 |
1. |
18 |
0.111 |
|
|
|
|
|
|
|
624 |
A |
3 |
2 |
1. |
18 |
0.111 |
|
|
|
|
|
|
|
625 |
A |
4 |
3 |
1. |
20 |
0.15 |
|
|
|
|
|
|
|
626 |
A |
4 |
3 |
1. |
22 |
0.136 |
|
|
|
|
|
|
|
627 |
A |
4 |
3 |
1. |
22 |
0.136 |
|
|
|
|
|
|
|
628 |
A |
1 |
1 |
1. |
7 |
0.143 |
|
|
|
|
|
|
|
629 |
A |
3 |
2 |
1. |
9 |
0.222 |
|
|
|
|
|
|
|
630 |
A |
4 |
2 |
1. |
9 |
0.222 |
|
|
|
|
|
|
|
631 |
A |
5 |
2 |
1. |
9 |
0.222 |
|
|
|
|
|
|
|
632 |
A |
3 |
2 |
1. |
9 |
0.222 |
|
|
|
|
|
|
|
633 |
A |
3 |
3 |
1. |
8 |
0.375 |
|
|
|
|
|
|
|
634 |
A |
3 |
1 |
1. |
8 |
0.125 |
|
|
|
|
|
|
|
635 |
A |
2 |
2 |
1. |
6 |
0.333 |
|
|
|
|
|
|
|
636 |
A |
2 |
3 |
1. |
6 |
0.5 |
|
|
|
|
|
|
|
637 |
A |
2 |
2 |
1. |
14 |
0.143 |
|
|
|
|
|
|
|
638 |
A |
3 |
2 |
1. |
8 |
0.25 |
|
|
|
|
|
|
|
639 |
A |
8 |
6 |
1. |
20 |
0.3 |
|
|
|
|
|
|
|
640 |
A |
5 |
4 |
1. |
14 |
0.286 |
|
|
|
|
|
|
|
|
641 | A | 4 | 4 | 1. | 8 | 0.5 |
|
|
|
|
|
|
|
642 |
A |
4 |
3 |
1. |
8 |
0.375 |
|
|
|
|
|
|
|
643 |
A |
4 |
5 |
1. |
14 |
0.357 |
|
|
|
|
|
|
|
644 |
A |
6 |
7 |
1. |
12 |
0.583 |
|
|
|
|
|
|
|
645 |
A |
5 |
5 |
1. |
8 |
0.625 |
|
|
|
|
|
|
|
646 |
A |
5 |
5 |
1. |
8 |
0.625 |
|
|
|
|
|
|
|
647 |
A |
10 |
7 |
1. |
8 |
0.875 |
|
|
|
|
|
|
|
648 |
A |
13 |
8 |
1. |
8 |
1. |
|
|
|
|
|
|
|
649 |
A |
5 |
5 |
1. |
8 |
0.625 |
|
|
|
|
|
|
|
650 |
A |
10 |
5 |
1. |
8 |
0.625 |
|
|
|
|
|
|
|
651 |
A |
3 |
3 |
1. |
14 |
0.214 |
|
|
|
|
|
|
|
652 |
A |
3 |
3 |
1. |
14 |
0.214 |
|
|
|
|
|
|
|
653 |
A |
2 |
1 |
1. |
15 |
0.067 |
|
|
|
|
|
|
|
654 |
A |
6 |
5 |
1. |
14 |
0.357 |
|
|
|
|
|
|
|
655 |
A |
3 |
2 |
1. |
15 |
0.133 |
|
|
|
|
|
|
|
656 |
A |
4 |
5 |
1. |
17 |
0.294 |
|
|
|
|
|
|
|
657 |
A |
10 |
7 |
1. |
17 |
0.412 |
|
|
|
|
|
|
|
658 |
A |
4 |
3 |
1. |
17 |
0.176 |
|
|
|
|
|
|
|
659 |
A |
3 |
3 |
1. |
17 |
0.176 |
|
|
|
|
|
|
|
660 |
A |
5 |
3 |
1. |
17 |
0.176 |
|
|
|
|
|
|
|
|
661 |
A |
2 |
2 |
1. |
15 |
0.133 |
|
|
|
|
|
|
|
662 |
A |
2 |
2 |
1. |
15 |
0.133 |
|
|
|
|
|
|
|
663 |
A |
4 |
4 |
1. |
14 |
0.286 |
|
|
|
|
|
|
|
664 |
A |
3 |
5 |
1. |
17 |
0.294 |
|
|
|
|
|
|
|
665 |
A |
8 |
6 |
1. |
17 |
0.353 |
|
|
|
|
|
|
|
666 |
A |
4 |
4 |
1. |
17 |
0.235 |
|
|
|
|
|
|
|
667 |
A |
5 |
4 |
1. |
17 |
0.235 |
|
|
|
|
|
|
|
668 |
A |
6 |
4 |
1. |
19 |
0.21 |
|
|
|
|
|
|
|
669 |
A |
3 |
3 |
1. |
11 |
0.273 |
|
|
|
|
|
|
|
670 |
A |
4 |
3 |
1. |
11 |
0.273 |
|
|
|
|
|
|
|
671 |
A |
4 |
4 |
1. |
13 |
0.308 |
|
|
|
|
|
|
|
672 |
A |
8 |
8 |
1. |
13 |
0.615 |
|
|
|
|
|
|
|
673 |
A |
2 |
2 |
1. |
13 |
0.154 |
|
|
|
|
|
|
|
674 |
A |
8 |
8 |
1. |
13 |
0.615 |
|
|
|
|
|
|
|
675 |
A |
17 |
11 |
1. |
13 |
0.846 |
|
|
|
|
|
|
|
676 |
A |
8 |
8 |
1. |
11 |
0.727 |
|
|
|
|
|
|
|
677 |
A |
3 |
2 |
1. |
11 |
0.182 |
|
|
|
|
|
|
|
678 |
A |
12 |
6 |
1. |
13 |
0.462 |
|
|
|
|
|
|
|
679 |
A |
7 |
7 |
1. |
13 |
0.538 |
|
|
|
|
|
|
|
680 |
A |
8 |
7 |
1. |
8 |
0.875 |
|
|
|
|
|
|
|
|
681 |
A |
11 |
8 |
1. |
13 |
0.615 |
|
|
|
|
|
|
|
682 |
A |
4 |
4 |
1.04 |
15 |
0.267 |
|
|
|
|
|
|
|
683 |
A |
9 |
7 |
1.08 |
15 |
0.467 |
|
|
|
|
|
|
|
684 |
A |
11 |
8 |
1.25 |
15 |
0.533 |
|
|
|
|
|
|
|
685 |
A |
4 |
4 |
1. |
15 |
0.267 |
|
|
|
|
|
|
|
686 |
A |
4 |
6 |
1.03 |
12 |
0.5 |
|
|
|
|
|
|
|
687 |
A |
4 |
5 |
1.04 |
15 |
0.333 |
|
|
|
|
|
|
|
688 |
A |
5 |
6 |
1.02 |
15 |
0.4 |
|
|
|
|
|
|
|
689 |
A |
16 |
11 |
1.33 |
15 |
0.733 |
|
|
|
|
|
|
|
690 |
A |
2 |
3 |
1. |
15 |
0.2 |
|
|
|
|
|
|
|
691 |
A |
5 |
8 |
1.3 |
15 |
0.533 |
|
|
|
|
|
|
|
692 |
A |
6 |
4 |
1.36 |
17 |
0.235 |
|
|
|
|
|
|
|
693 |
A |
11 |
9 |
1.29 |
17 |
0.529 |
|
|
|
|
|
|
|
694 |
A |
8 |
5 |
1.33 |
17 |
0.294 |
|
|
|
|
|
|
|
695 |
B |
8 |
7 |
2.15 |
16 |
0.438 |
|
|
|
|
|
|
|
696 |
A |
4 |
4 |
1. |
16 |
0.25 |
|
|
|
|
|
|
|
697 |
A |
5 |
4 |
1. |
8 |
0.5 |
|
|
|
|
|
|
|
698 |
A |
5 |
5 |
1. |
13 |
0.385 |
|
|
|
|
|
|
|
699 |
A |
2 |
2 |
1. |
24 |
0.083 |
|
|
|
|
|
|
|
700 |
A |
2 |
3 |
1. |
21 |
0.143 |
|
|
|
|
|
|
|
|
701 |
A |
5 |
5 |
1. |
12 |
0.417 |
|
|
|
|
|
|
|
702 |
A |
7 |
6 |
1.71 |
10 |
0.6 |
|
|
|
|
|
|
|
703 |
A |
5 |
6 |
1. |
8 |
0.75 |
|
|
|
|
|
|
|
704 |
A |
6 |
6 |
1. |
10 |
0.6 |
|
|
|
|
|
|
|
705 |
B |
5 |
5 |
2.39 |
7 |
0.714 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|