Haskell: getting the static type of an expression

I'm looking for a function that does what the GHCi :type command does.

Ideally, it would have a signature something like

getStaticType :: a -> String

a = getStaticType (1+2)
-- a = "(Num t) => t"

b = getStaticType zipWith
-- b = "(a -> b -> c) -> [a] -> [b] -> [c]"

(Note: this has nothing to do with Data.Dynamic. I just want the static type inferred from the compiler. In fact the function wouldn't need a runtime implementation at all, as all calls to it could be inlined as constants at compile time. I'm assuming it exists somewhere, since GHCi can do it)