(/ x (+ 1 (exp (* (- 1.702) x))))

Average Error: 0.0 → 0.0

Time: 640.0ms

Precision: binary64

Math

\[\frac{x}{1 + e^{\left(-1.702\right) \cdot x}}\]

↓

\[\frac{x}{1 + e^{\left(-1.702\right) \cdot x}}\]

Error

Bits error versus x

Derivation

1. Initial program 0.0

   \[\frac{x}{1 + e^{\left(-1.702\right) \cdot x}}\]

2. Final simplification 0.0

   \[\leadsto \frac{x}{1 + e^{\left(-1.702\right) \cdot x}}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(/ x (+ 1 (exp (* (- 1.702) x))))"
  :precision binary64
  (/ x (+ 1.0 (exp (* (neg 1.702) x)))))