The numerics in Haskell have not been carefully vetted, for a variety of reasons. Not just under MS Windows, even under Linux. Here's an example: atan has drastic loss of precision in the imaginary direction around zero in the complex domain. $ ghci GHCi, version 8.8.4: https://www.haskell.org/ghc/ :? for help Prelude> :m + Data.Complex Prelude Data.Complex> tan (1e-20 :+ 0) 1.0e-20 :+ 0.0 Prelude Data.Complex> atan (1e-20 :+ 0) 1.0e-20 :+ (-0.0) Prelude Data.Complex> tan (0 :+ 1e-20) 0.0 :+ 1.0e-20 Prelude Data.Complex> atan (0 :+ 1e-20) 0.0 :+ (-0.0) Although there have been amazing efforts to use fancy PLT methods to improve the numerics of programs using source-to-source transformations and such, the boring janitorial work of checking and fixing numeric issues in the standard library doesn't seem to attract people. To be fair, it isn't my cup of tea either...