(+ x (exp (- x)))

Average Error: 0.0 → 0.0

Time: 703.0ms

Precision: binary64

Math

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

↓

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

Error

Bits error versus x

Derivation

1. Initial program 0.0

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

2. Final simplification 0.0

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

Reproduce

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