1. Extra calls to simplify are probably not as expensive as they might
appear.
The reason is, the first thing that simplify does is it asks "is this
already simplified?"
and if so, it returns.
2. Compiling of programs that do mostly double-precision floating point
arithmetic may be
substantially sped up, with extra declarations, some luck, and a good
underlying Lisp compiler.
Declaring items as "number" is probably not saving time, since the Lisp
system must call a subroutine
to do arithmetic on "numbers" anyway. There are too many different
kinds of numbers.
3. Compiling of programs that spend most of their time in routines that
are already compiled (like integration)
will not result in much of a speedup.
4. Rewriting code for speed is more productive if it is based on
profiling data which shows where
the time is being spent.
5. I don't understand how a lot of time is spent in integrating a
polynomial. I find that
integration of a dense polynomial of degree 50 takes between 0 and 0.05
sec. What kind of
example are you trying to speed up?
RJF
Richard Hennessy wrote:
> I got poly_int to be about the same speed (compiled) as integrate now without having to resort to Lisp coding. There seems to be no
> point to including it in pw.mac since the idea was to get a screaming fast pwdefint() function. I will add it anyway so if anyone
> has the time to look at it and suggest changes I will be happy with that.
>
> Rich
>
>
>
> ----- Original Message -----
> From: "Richard Hennessy" <rich.hennessy at verizon.net>
> Cc: "Maxima List" <maxima at math.utexas.edu>
> Sent: Friday, September 04, 2009 6:27 PM
> Subject: Re: [Maxima] How to speed up programs by compiling
>
>
> Well, I guess I am on my own with this. I will try to write my own version of this function directly in Lisp bypassing the
> compiler.
>
> Rich
>
> ----- Original Message -----
> From: "Richard Hennessy" <rich.hennessy at verizon.net>
> To: "Barton Willis" <willisb at unk.edu>
> Cc: "Maxima List" <maxima at math.utexas.edu>; <maxima-bounces at math.utexas.edu>
> Sent: Friday, September 04, 2009 2:24 PM
> Subject: Re: [Maxima] How to speed up programs by compiling
>
>
> I have noticed that in the lisp code there are a lot of calls to simplify, maybe some of them are unnecessary? Also mode_declare
> does help by improving speed to about 2/3 of the original execution time, but integrate was about 6 times faster. The exponents are
> numbers usually so I declared them as number. Other variables are possibly symbols so I said mode_declare([x1,x2,...], any).
>
>
>
> ----- Original Message -----
> From: "Barton Willis" <willisb at unk.edu>
> To: "Richard Hennessy" <rich.hennessy at verizon.net>
> Cc: "Maxima List" <maxima at math.utexas.edu>; <maxima-bounces at math.utexas.edu>
> Sent: Friday, September 04, 2009 1:01 PM
> Subject: Re: [Maxima] How to speed up programs by compiling
>
>
> Try searching the mailing list archives using something like "compile
> speed up"; for example
>
> http://www.math.utexas.edu/pipermail/maxima/2006/003524.html
>
> An easy way to search the Maxima mailing list is from
>
> http://maxima.sourceforge.net/maximalist.html
>
> Barton
>
> maxima-bounces at math.utexas.edu wrote on 09/04/2009 11:14:25 AM:
>
>
>> [image removed]
>>
>> [Maxima] How to speed up programs by compiling
>>
>> Richard Hennessy
>>
>> to:
>>
>> Maxima List
>>
>> 09/04/2009 11:14 AM
>>
>> Sent by:
>>
>> maxima-bounces at math.utexas.edu
>>
>> How can you make a program run faster by compiling? I have tried to
>> compile functions in pw.mac and it does not improve speed even
>> though I thought it should. For example I wrote a simple polynomial
>> integrator program which I was going to put into pw.mac because
>> I thought an integrate program that can only do polynomials would be
>> faster than one that has to consider all possibilities but when
>> I test it it is still slower the Maximas' integrate. I tried
>> compiling it and got no improvement. What am I doing wrong?
>>
>> Rich
>>
>>
>>
>> _______________________________________________
>> Maxima mailing list
>> Maxima at math.utexas.edu
>> http://www.math.utexas.edu/mailman/listinfo/maxima
>>
>
>
>
> _______________________________________________
> Maxima mailing list
> Maxima at math.utexas.edu
> http://www.math.utexas.edu/mailman/listinfo/maxima
>
>
> _______________________________________________
> Maxima mailing list
> Maxima at math.utexas.edu
> http://www.math.utexas.edu/mailman/listinfo/maxima
>