(- (* 2.0 (exp (- x))) 1.0001)

Average Error: 0.0 → 0.0

Time: 1.3s

Precision: binary64

Math

\[2 \cdot e^{-x} - 1.00009999999999999\]

↓

\[2 \cdot e^{-x} - 1.00009999999999999\]

Error

Bits error versus x

Derivation

1. Initial program 0.0

   \[2 \cdot e^{-x} - 1.00009999999999999\]

2. Final simplification 0.0

   \[\leadsto 2 \cdot e^{-x} - 1.00009999999999999\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(- (* 2.0 (exp (- x))) 1.0001)"
  :precision binary64
  (- (* 2.0 (exp (neg x))) 1.0001))