Average Error: 0.4 → 0.2
Time: 4.6s
Precision: binary64
\[\]
↓
\[\]

Error

Bits error versus x

Bits error versus y

Bits error versus z

Derivation

  1. Initial program 0.4

    \[\]

  2. Simplified0.2

    \[\leadsto \]
  3. Using strategy rm

  4. Applied sub-neg0.2

    \[\leadsto \]

  5. Applied distribute-lft-in0.2

    \[\leadsto \]

  6. Applied distribute-lft-in0.2

    \[\leadsto \]

  7. Final simplification0.2

    \[\leadsto \]

Reproduce

herbie shell --seed 2020180 
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, D"
  :precision binary64
  (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))