(- (+ x (* a (exp (- x)))) 1)

Average Error: 0.0 → 0.0

Time: 1.1s

Precision: binary64

• could not determine a ground truth for program body

  1. x = 13127214843320538.0
  2. a = 7.6912789229035435e+292

Math

\[\left(x + a \cdot e^{-x}\right) - 1\]

↓

\[\left(x + a \cdot e^{-x}\right) - 1\]

Error

Bits error versus x

Bits error versus a

Derivation

1. Initial program 0.0

   \[\left(x + a \cdot e^{-x}\right) - 1\]

2. Final simplification 0.0

   \[\leadsto \left(x + a \cdot e^{-x}\right) - 1\]

Reproduce

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