(/ 1 (+ (exp (- x)) 1))

Average Error: 0.0 → 0.0

Time: 688.0ms

Precision: binary64

Math

\[\frac{1}{e^{-x} + 1}\]

↓

\[\frac{1}{e^{-x} + 1}\]

Error

Bits error versus x

Derivation

1. Initial program 0.0

   \[\frac{1}{e^{-x} + 1}\]

2. Final simplification 0.0

   \[\leadsto \frac{1}{e^{-x} + 1}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(/ 1 (+ (exp (- x)) 1))"
  :precision binary64
  (/ 1.0 (+ (exp (neg x)) 1.0)))