(+ (sin (* 0.2 pix)) (sin (* (- 0.2) pix)))

Average Error: 0 → 0

Time: 3.6s

Precision: binary64

Math

\[\sin \left(0.20000000000000001 \cdot pix\right) + \sin \left(\left(-0.20000000000000001\right) \cdot pix\right)\]

↓

\[0\]

Error

Bits error versus pix

Derivation

1. Initial program 0

   \[\sin \left(0.20000000000000001 \cdot pix\right) + \sin \left(\left(-0.20000000000000001\right) \cdot pix\right)\]

2. Simplified 0

   \[\leadsto \color{blue}{0}\]

3. Final simplification 0

   \[\leadsto 0\]

Reproduce

herbie shell --seed 2020153 
(FPCore (pix)
  :name "(+ (sin (* 0.2 pix)) (sin (* (- 0.2) pix)))"
  :precision binary64
  (+ (sin (* 0.2 pix)) (sin (* (neg 0.2) pix))))