(/ 1 (+ 1 (* 0.1 (exp (- x)))))

Average Error: 0.0 → 0.0

Time: 1.1s

Precision: binary64

Math

\[\frac{1}{1 + 0.10000000000000001 \cdot e^{-x}}\]

↓

\[\frac{1}{1 + 0.10000000000000001 \cdot e^{-x}}\]

Error

Bits error versus x

Derivation

1. Initial program 0.0

   \[\frac{1}{1 + 0.10000000000000001 \cdot e^{-x}}\]

2. Final simplification 0.0

   \[\leadsto \frac{1}{1 + 0.10000000000000001 \cdot e^{-x}}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(/ 1 (+ 1 (* 0.1 (exp (- x)))))"
  :precision binary64
  (/ 1.0 (+ 1.0 (* 0.1 (exp (neg x))))))