(exp (log1p (- (pow x 2))))

Average Error: 0.0 → 0.0

Time: 1.2s

Precision: binary64

Math

\[e^{\mathsf{log1p}\left(-{x}^{2}\right)}\]

↓

\[e^{\mathsf{log1p}\left(-{x}^{2}\right)}\]

Error

Bits error versus x

Derivation

1. Initial program 0.0

   \[e^{\mathsf{log1p}\left(-{x}^{2}\right)}\]

2. Final simplification 0.0

   \[\leadsto e^{\mathsf{log1p}\left(-{x}^{2}\right)}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(exp (log1p (- (pow x 2))))"
  :precision binary64
  (exp (log1p (neg (pow x 2.0)))))