Average Error: 0.0 → 0.0
Time: 1.5s
Precision: binary64
\[200 \cdot \left(x - y\right)\]
\[200 \cdot x + 200 \cdot \left(-y\right)\]

Error

Bits error versus x

Bits error versus y

Derivation

  1. Initial program 0.0

    \[200 \cdot \left(x - y\right)\]
  2. Using strategy rm
  3. Applied sub-neg0.0

    \[\leadsto 200 \cdot \color{blue}{\left(x + \left(-y\right)\right)}\]
  4. Applied distribute-lft-in0.0

    \[\leadsto \color{blue}{200 \cdot x + 200 \cdot \left(-y\right)}\]
  5. Final simplification0.0

    \[\leadsto 200 \cdot x + 200 \cdot \left(-y\right)\]

Reproduce

herbie shell --seed 2020155 
(FPCore (x y)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, C"
  :precision binary64
  (* 200.0 (- x y)))