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

Average Error: 30.8 → 30.8

Time: 1.1s

Precision: binary64

Math

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

↓

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

Error

Bits error versus x

Derivation

1. Initial program 30.8

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

2. Final simplification 30.8

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

Reproduce

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