Working on *why* it might be so slow a bit:
%prun for i in range(100r): f(0.1)
798103 function calls (791903 primitive calls) in 1.327 seconds
Ordered by: internal time
ncalls tottime percall cumtime percall filename:lineno(function)
8000 0.556 0.000 0.628 0.000 maxima_lib.py:438(_eval_line)
100 0.299 0.003 1.318 0.013 piecewise.py:188(_subs_)
16000 0.059 0.000 0.067 0.000 {method 'random_element' of
'sage.rings.real_mpfi.RealIntervalField_class' objects}
1700 0.054 0.000 0.060 0.000
maxima_lib.py:298(max_to_string)
232200 0.032 0.000 0.048 0.000 calculus.py:2204(_is_function)
900 0.028 0.000 0.050 0.000 calculus.py:2319(<dictcomp>)
2700 0.024 0.000 0.024 0.000 {built-in method
sage.libs.ecl.ecl_eval}
900 0.021 0.000 0.047 0.000 calculus.py:2317(<dictcomp>)
273700 0.018 0.000 0.018 0.000 {built-in method
builtins.isinstance}
900 0.015 0.000 0.033 0.000 {method 'parse_sequence' of
'sage.misc.parser.Parser' objects}
so, most stuff is happening in maxima and in _subs_, and somehow random
elements of an intervalfield are needed ...
I don't think the design was primarily focused on numerical evaluation
speed but rather on having symbolic piecewise functions.
On Wednesday 1 May 2024 at 06:38:36 UTC-7 David Joyner wrote:
> For another data point, on an ubuntu laptop:
>
> sage: time [f(0.1*i) for i in range(1,10)]
> CPU times: user 136 ms, sys: 0 ns, total: 136 ms
> Wall time: 99.1 ms
> [1, 1, 1, 1, 1, 1, 1, 1, 1]
> sage: time f(0.1)
> CPU times: user 13.6 ms, sys: 0 ns, total: 13.6 ms
> Wall time: 13.5 ms
> 1
> sage: version()
> 'SageMath version 10.3.rc1, Release Date: 2024-02-29'
>
> On Wed, May 1, 2024 at 5:21 AM Kwankyu Lee <ekwa...@gmail.com> wrote:
> >
> > Hi,
> >
> > I get
> >
> > sage: f = piecewise([((0,1),1)])
> > sage: time f(0.1)
> > CPU times: user 135 ms, sys: 4.23 ms, total: 140 ms
> > Wall time: 146 ms
> > 1
> > sage: time f(0.2)
> > CPU times: user 133 ms, sys: 3.56 ms, total: 136 ms
> > Wall time: 137 ms
> > 1
> >
> > This is painfully slow. Is this normal?
> >
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