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

Average Error: 31.3 → 31.3

Time: 1.2s

Precision: binary64

Math

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

↓

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

Error

Bits error versus x

Derivation

1. Initial program 31.3

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

2. Final simplification 31.3

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

Reproduce

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