This question arises from a challenge Brent Yorgey posed at OPLSS: write a function f :: (Int -> Int) -> Bool
that distinguishes f
There is a more higher-level description of STG-machine in How to make a fast curry: push/enter vs eval/apply
Figure 2 contains rule CASEANY that works for functions. In this paper "is a value" proposition means either:
Unboxed values, including literals are treated specially, more information can be found in Unboxed values as first class citizens
All these are implementation details and are hidden inside compiler (GHC). Haskell's case expression doesn't force it's scrutineer, only pattern-matching and seq do.