(/ 1 (+ 1 (exp (- X))))

Average Error: 0.0 → 0.0

Time: 608.0ms

Precision: binary64

Math

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

↓

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

Error

Bits error versus X

Derivation

1. Initial program 0.0

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

2. Final simplification 0.0

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

Reproduce

herbie shell --seed 2020153 
(FPCore (X)
  :name "(/ 1 (+ 1 (exp (- X))))"
  :precision binary64
  (/ 1.0 (+ 1.0 (exp (neg X)))))