(exp (- (pow (/ x y) 2)))

Average Error: 0.0 → 0.0

Time: 915.0ms

Precision: binary64

Math

\[e^{-{\left(\frac{x}{y}\right)}^{2}}\]

↓

\[e^{-{\left(\frac{x}{y}\right)}^{2}}\]

Error

Bits error versus x

Bits error versus y

Derivation

1. Initial program 0.0

   \[e^{-{\left(\frac{x}{y}\right)}^{2}}\]

2. Final simplification 0.0

   \[\leadsto e^{-{\left(\frac{x}{y}\right)}^{2}}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x y)
  :name "(exp (- (pow (/ x y) 2)))"
  :precision binary64
  (exp (neg (pow (/ x y) 2.0))))