Greg Buchholz wrote:
Casey Hawthorne wrote:
The Q Programming Language can do the following:
sqr X = X*X
==>sqr 5
25
==>sqr (X+1)
(X+1)*(X+1)
Can Haskell do symbolic manipulation?
Typeful symbolic differentiation of compiled functions
http://www.haskell.org/pipermail/haskell/2004-November/014939.html
And a GADT version of differentiation:
http://haskell.org/hawiki/ShortExamples_2fSymbolDifferentiation
which also does some simplifications. I have a version that I did not post that
uses the hs-plugins: It can take a function like
f x = x * log x + 7 * (-x) + (2**x) - (sin x)
and compute the derivative, simplify it, emit the haskell code for it, compile
it via hs-plugins, and be able to use it.
Of course, you can't INLINE a new function like that, but the performance is
still very good.
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