Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I

Average Error: 3.4 → 0.2

Time: 3.0s

Precision: binary64

Math

\[\]

↓

\[\]

Error

Bits error versus x

Bits error versus y

Bits error versus z

Derivation

1. Split input into 2 regimes

2. if (* y z) < -1.1617888851699199e191 or 1.6714011123855759e211 < (* y z)

   1. Initial program 27.3

      \[\]
   2. Using strategy rm

   3. Applied sub-neg 27.3

      \[\leadsto \]

   4. Applied distribute-lft-in 27.3

      \[\leadsto \]

   5. Simplified 27.3

      \[\leadsto \]
   6. Using strategy rm

   7. Applied associate-*r* 0.8

      \[\leadsto \]

   if -1.1617888851699199e191 < (* y z) < 1.6714011123855759e211

   1. Initial program 0.1

      \[\]
   2. Using strategy rm

   3. Applied sub-neg 0.1

      \[\leadsto \]

   4. Applied distribute-lft-in 0.1

      \[\leadsto \]

   5. Simplified 0.1

      \[\leadsto \]
3. Recombined 2 regimes into one program.

4. Final simplification 0.2

   \[\leadsto \]

Reproduce

herbie shell --seed 2020179 
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I"
  :precision binary64
  (* x (- 1.0 (* y z))))