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

Average Error: 0 → 0

Time: 3.3s

Precision: binary64

Math

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

↓

\[0\]

Error

Bits error versus x

Derivation

1. Initial program 0

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

2. Simplified 0

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

3. Final simplification 0

   \[\leadsto 0\]

Reproduce

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