Lets say I have the following function

(defn fib[n]
  (if (> n 2)
    (+ (fib (- n 2)) (fib (- n 1)))
    1))

and I want to memoize it, what is the right way to do it?

Using the default memoize does not work correctly. the reason is even
though the first call to fib is memoized, the recursive calls go to
the original fib, and not the memoized function.

Even using

(def fib (memoize fib))

does not seem to work. if you run (fib 45) and (fib 46), in the ideal
case, (fib 47) should just call the memoized (fib 45) and (fib 46) and
return almost immediately, but that is not the case.

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