(- (pow e x) (pow e (- x)))

Average Error: 58.1 → 58.1

Time: 5.4s

Precision: binary64

Math

\[{e}^{x} - {e}^{\left(-x\right)}\]

↓

\[{e}^{x} - {e}^{\left(-x\right)}\]

Error

Bits error versus e

Bits error versus x

Derivation

1. Initial program 58.1

   \[{e}^{x} - {e}^{\left(-x\right)}\]

2. Final simplification 58.1

   \[\leadsto {e}^{x} - {e}^{\left(-x\right)}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (e x)
  :name "(- (pow e x) (pow e (- x)))"
  :precision binary64
  (- (pow e x) (pow e (neg x))))