Yes, leancheck is awesome.

When should I reach to enumerative testing?

I think enumerative testing is best suited to algebraic data types. https://mail.haskell.org/pipermail/haskell-cafe/2018-September/129951.html In the past I had one standard example where random enumeration seems better than enumerative: (non)associativity of floating point ops (I like to use this in teaching) That's immediate in Quickcheck quickCheck $ \ x y z -> (x::Double) + (y+z) == (x+y)+z *** Failed! Falsifiable (after 3 tests and 3 shrinks): -0.3 -1.4266097805446862 -1.2543117889178947 You don't get to see a counterexample in Smallcheck Prelude Test.SmallCheck> smallCheck 5 $ \ x y z -> (x::Double) + (y+z) == (x+y)+z Completed 50653 tests without failure. To my surprise, we now have Prelude Test.LeanCheck> check $ \ x y z -> (x::Double) + (y+z) == (x+y)+z *** Failed! Falsifiable (after 87 tests): 0.0 Infinity (-Infinity) and I get the above (with "real" numbers) via Prelude Test.LeanCheck> checkFor 1000 $ \ x y z -> isInfinite x || isInfinite y || isInfinite z || (x::Double) + (y+z) == (x+y)+z *** Failed! Falsifiable (after 306 tests): 1.0 1.0 0.3333333333333333 Turns out the enumeration in Leancheck uses Rationals, while Smallcheck uses encodeFloat, which happens to produce only "nice" numbers (very few bits set) in the beginning. Prelude Test.LeanCheck> list 3 series :: [Double] [0.0,1.0,-1.0,2.0,0.5,-2.0,4.0,0.25,-0.5,-4.0,-0.25] Prelude Test.LeanCheck> take 12 $ list :: [Double] [0.0,1.0,-1.0,Infinity,0.5,2.0,-Infinity,-0.5,-2.0,0.3333333333333333,3.0,-0.3333333333333333] - J.W. PS: this post wouldn't be complete without me complaining that I cannot (easily) put the type annotation where it belongs - in the declaration of the name: Prelude Test.LeanCheck> check $ \ (x::Double) y z -> x + (y+z) == (x+y)+z <interactive>:22:12: error: Illegal type signature: ‘Double’ Type signatures are only allowed in patterns with ScopedTypeVariables Wat? TypeVariables? There aren't any!