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Note that `taylor` returns the answer in the form of Basic expr (though it does this | |
smartly). Therefore, it has an extra( < 1% ) overhead compared to `series_fast` | |
1. series: p = (sin(a)+cos(a))**10, prec=10 | |
series_fast: 1 loops, best of 3: 1.87 s per loop taylor: too long | |
2. series: p = sin(a) + cos(a), prec=100 | |
series_fast: 10 loops, best of 3: 113 ms per loop taylor: 1 loops, best of 3: 181 ms per loop | |
3. series: p=sin(a)*cos(a)*sin(a)**2*cos(a)**3, prec=50 | |
series_fast: 1 loops, best of 3: 336 ms per loop taylor: 1 loops, best of 3: 1.2 s per loop | |
4. series: p = (sin(a) - a)*(cos(a**2) + a**4/2), prec=50 | |
series_fast: 1 loops, best of 3: 603 ms per loop taylor: 1 loops, best of 3: 786 ms per loop | |
5. series: p = sin(x**2 + a)*(cos(x**3 - 1) - a - a**2), prec=100 | |
series_fast: 1 loops, best of 3: 705 ms per loop taylor: 1 loops, best of 3: 378 ms per loop | |
6. series: p = sin(a**2 - a + 2)**5*cos(a**3 - a), prec=50 | |
series_fast: 1 loops, best of 3: 2.68 s per loop taylor: 1 loops, best of 3: 3.11 s per loop | |
For prec=100, series_fast takes too much time while taylor takes almost the same time as for prec=50. | |
7. series: p=sin(a + x**2)*cos(a*b + x) + sin(sin(a**2 + x)), prec=10 | |
series_fast: 1 loops, best of 3: 1.22 s per loop taylor: 1 loops, best of 3: 1.17 s per loop | |
7. | |
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