(/ (- 1) (exp (/ (* (- x y) (- x y)) e)))

Average Error: 0.0 → 0.0

Time: 1.3s

Precision: binary64

Math

\[\frac{-1}{e^{\frac{\left(x - y\right) \cdot \left(x - y\right)}{e}}}\]

↓

\[\frac{-1}{e^{\frac{\left(x - y\right) \cdot \left(x - y\right)}{e}}}\]

Error

Bits error versus x

Bits error versus y

Bits error versus e

Derivation

1. Initial program 0.0

   \[\frac{-1}{e^{\frac{\left(x - y\right) \cdot \left(x - y\right)}{e}}}\]

2. Final simplification 0.0

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

Reproduce

herbie shell --seed 2020152 
(FPCore (x y e)
  :name "(/ (- 1) (exp (/ (* (- x y) (- x y)) e)))"
  :precision binary64
  (/ (neg 1.0) (exp (/ (* (- x y) (- x y)) e))))