[Haskell-cafe] Are there arithmetic composition of functions?

[Richard O'Keefe]

One problem with hooking functions into the Haskell numeric
classes is right at the beginning:

    class (Eq a, Show a) => Num a
      where (+) (-) (*) negate abs signum fromInteger

where functions are for good reason not members of Eq or Show.
Look at

http://www.haskell.org/haskellwiki/Numeric_Prelude

for a different set of numeric classes that should suit you
better.