I'm using GHood to watch the execution of this implementation of the partition function and expected to see a binary tree. Instead I get this tree:
import Debug.Observe
p :: (Observable a, Ord a, Num a) => a -> a -> a
p k n
| k > n = 0
| k == n = 1
| otherwise = (observe "left" p (k+1) n ) + (observe "right" p k (n-k))
>>> printO $ observe "p" p 1 3
I've also unsuccessfully tried using lazy natural numbers from Data.Number.Natural
as per a suggestion on irc.
When using Vacuum.Cairo
I get even less back, just the result of the function run to completion.
>>> m: + System.Vacuum.Cairo
>>> view $ p 1 5