Hyperbolic tangent

Average Error: 58.3 → 0.0

Time: 4.5s

Precision: binary64

Math

\[\]

↓

\[\]

Error

Bits error versus x

Derivation

1. Initial program 58.3

   \[\]
2. Using strategy rm

3. Applied tanh-undef 0.0

   \[\leadsto \]

4. Final simplification 0.0

   \[\leadsto \]

Reproduce

herbie shell --seed 2020191 
(FPCore (x)
  :name "Hyperbolic tangent"
  :precision binary64
  (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))))