(- (exp (- x)) 1)

Average Error: 38.8 → 38.8

Time: 1.3s

Precision: binary64

Math

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

↓

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

Error

Bits error versus x

Derivation

1. Initial program 38.8

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

2. Final simplification 38.8

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

Reproduce

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