(/ 1.0 (+ 1.0 (exp (- a))))

Average Error: 0.0 → 0.0

Time: 656.0ms

Precision: binary64

Math

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

↓

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

Error

Bits error versus a

Derivation

1. Initial program 0.0

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

2. Final simplification 0.0

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

Reproduce

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