Graham Fawcett wrote:
Yes, but that's still a 'quick' short-circuiting. In your example, if
'n' is Nothing, then the 'f >>= g >>= h' thunks will not be forced
(thanks to lazy evaluation), regardless of associativity. Tracing
verifies this:

No, it doesn't. What your tracing verifies is that the f, g, and h will
not be evaluated. It doesn't verify that the 'f >>= g >>= h' part of the
expression causes no evaluation overhead. Because that is not true.
Consider the following:

import Debug.Trace

data Maybe' a = Nothing' | Just' a  deriving Show

instance Monad Maybe' where
    return = Just'
    Nothing' >>= _ = trace "match" Nothing'
    Just' a  >>= k = k a

talk s = Just' . (trace s)
f = talk "--f"
g = talk "--g"
h = talk "--h"

foo n = n >>= f >>= g >>= h

Now:

*Main> foo Nothing'
match
match
match
Nothing'

So you get three pattern-matches on Nothing', where with the associative
variant

foo' n = n >>= \a -> f a >>= \b -> g b >>= h

you get only one:

*Main> foo' Nothing'
match
Nothing'

For a way to obtain such improvements automatically, and without
touching the code, you may want to look into

http://wwwtcs.inf.tu-dresden.de/~voigt/mpc08.pdf

Ciao, Janis.

--
Dr. Janis Voigtlaender
http://wwwtcs.inf.tu-dresden.de/~voigt/
mailto:[EMAIL PROTECTED]
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