(- 1 (* (/ 1 B) (exp (/ (- A) B))))

Average Error: 0.0 → 0.0

Time: 1.2s

Precision: binary64

Math

\[1 - \frac{1}{B} \cdot e^{\frac{-A}{B}}\]

↓

\[1 - \frac{1}{B} \cdot e^{\frac{-A}{B}}\]

Error

Bits error versus B

Bits error versus A

Derivation

1. Initial program 0.0

   \[1 - \frac{1}{B} \cdot e^{\frac{-A}{B}}\]

2. Final simplification 0.0

   \[\leadsto 1 - \frac{1}{B} \cdot e^{\frac{-A}{B}}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (B A)
  :name "(- 1 (* (/ 1 B) (exp (/ (- A) B))))"
  :precision binary64
  (- 1.0 (* (/ 1.0 B) (exp (/ (neg A) B)))))