negate :: Int -> Int
-- testing 4 combinations of argument values
-- pruning with 64/99 rules
-- 4 candidates of size 1
-- 0 candidates of size 2
-- 5 candidates of size 3
-- tested 8 candidates
negate x  =  0 - x

abs :: Int -> Int
-- testing 4 combinations of argument values
-- pruning with 64/99 rules
-- 4 candidates of size 1
-- 0 candidates of size 2
-- 5 candidates of size 3
-- 0 candidates of size 4
-- 19 candidates of size 5
-- 48 candidates of size 6
-- 109 candidates of size 7
-- 253 candidates of size 8
-- tested 249 candidates
abs x
  | 0 < x  =  x
  | otherwise  =  0 - x

signum :: Int -> Int
-- testing 7 combinations of argument values
-- pruning with 64/99 rules
-- 4 candidates of size 1
-- 0 candidates of size 2
-- 5 candidates of size 3
-- 0 candidates of size 4
-- 19 candidates of size 5
-- 48 candidates of size 6
-- 97 candidates of size 7
-- tested 163 candidates
signum 0  =  0
signum x
  | x < 0  =  -1
  | otherwise  =  1

compare :: Int -> Int -> Ordering
-- testing 9 combinations of argument values
-- pruning with 5/6 rules
-- 3 candidates of size 1
-- 0 candidates of size 2
-- 0 candidates of size 3
-- 0 candidates of size 4
-- 0 candidates of size 5
-- 18 candidates of size 6
-- 0 candidates of size 7
-- 0 candidates of size 8
-- 0 candidates of size 9
-- 0 candidates of size 10
-- 162 candidates of size 11
-- tested 31 candidates
compare x y
  | x == y  =  EQ
  | x < y  =  LT
  | otherwise  =  GT

min :: Int -> Int -> Int -> Int
-- testing 6 combinations of argument values
-- pruning with 4/4 rules
-- 3 candidates of size 1
-- 0 candidates of size 2
-- 0 candidates of size 3
-- 0 candidates of size 4
-- 0 candidates of size 5
-- 36 candidates of size 6
-- 0 candidates of size 7
-- 0 candidates of size 8
-- 0 candidates of size 9
-- 0 candidates of size 10
-- 2592 candidates of size 11
-- 0 candidates of size 12
-- 0 candidates of size 13
-- 0 candidates of size 14
-- 0 candidates of size 15
-- 248400 candidates of size 16
-- tested 49553 candidates
min x y z  =  if x <= y
              then if x <= z then x else z
              else if y <= z then y else z

max :: Int -> Int -> Int -> Int
-- testing 6 combinations of argument values
-- pruning with 4/4 rules
-- 3 candidates of size 1
-- 0 candidates of size 2
-- 0 candidates of size 3
-- 0 candidates of size 4
-- 0 candidates of size 5
-- 36 candidates of size 6
-- 0 candidates of size 7
-- 0 candidates of size 8
-- 0 candidates of size 9
-- 0 candidates of size 10
-- 2592 candidates of size 11
-- 0 candidates of size 12
-- 0 candidates of size 13
-- 0 candidates of size 14
-- 0 candidates of size 15
-- 248400 candidates of size 16
-- tested 50103 candidates
max x y z  =  if x <= y
              then if y <= z then z else y
              else if x <= z then z else x