(- (sin (- x)) (sin x))

Average Error: 0 → 0

Time: 1.6s

Precision: binary64

Math

\[\sin \left(-x\right) - \sin x\]

↓

\[-2 \cdot \sin x\]

Error

Bits error versus x

Derivation

1. Initial program 0

   \[\sin \left(-x\right) - \sin x\]

2. Simplified 0

   \[\leadsto \color{blue}{-2 \cdot \sin x}\]

3. Final simplification 0

   \[\leadsto -2 \cdot \sin x\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(- (sin (- x)) (sin x))"
  :precision binary64
  (- (sin (neg x)) (sin x)))