(- (exp x) (exp (- x)))

Average Error: 58.0 → 58.0

Time: 2.3s

Precision: binary64

Math

\[e^{x} - e^{-x}\]

↓

\[e^{x} - e^{-x}\]

Error

Bits error versus x

Derivation

1. Initial program 58.0

   \[e^{x} - e^{-x}\]

2. Final simplification 58.0

   \[\leadsto e^{x} - e^{-x}\]

Reproduce

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