[Haskell-cafe] Exponential complexity of type checking (Was:
Type-level naturals & multiplication)
Serguey Zefirov
sergueyz at gmail.com
Tue Oct 13 12:32:53 EDT 2009
2009/10/13 Lennart Augustsson <lennart at augustsson.net>:
> Yes, there are simple H-M examples that are exponential.
> x0 = undefined
> x1 = (x1,x1)
> x2 = (x2,x2)
> x3 = (x3,x3)
> ...
>
> xn will have a type with 2^n type variables so it has size 2^n.
Reformulated:
let dup x = (x,x)
:t dup . dup . dup . dup ...
type will be 2^(number of dup's).
I experimented and found that GHC can stand pretty long line of dup's.
More than 20, at least.
One part of our program took too much time to typecheck some time ago.
3 and half minutes for ~900 lines module. Most of operations was
inside heavily parametrized monad (5 parameters, each is a Peano
number). Then my colleague moved parameters into associated types of
relevant type class and now it typechecks in ten seconds.
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