(Is that even the right term?)

Let's suppose I have a fairly complex computation to perform on a data structure. Normally I would cache the computed value in a field of the structure. The next time I need it I don't have to compute it again. (Of course if the structure changes, I have to recompute the value and store it again.) 

In Haskell is it the case that caching of this sort is redundant since Haskell does it for me?  That is, if I call 

f someStructure 

multiple times at different places in my code and if both "f" and "someStructure" refer to the same things each time, can I rely on Haskell not to perform the computation multiple times but to look up the result it previously computed?  

Is there some limit to that? If every computation is stored, doesn't that create a very large collection of stored results?

-- Russ