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

Average Error: 0.0 → 0.0

Time: 1.1s

Precision: binary64

Math

\[e^{\frac{-{x}^{2}}{\alpha}}\]

↓

\[e^{\frac{-{x}^{2}}{\alpha}}\]

Error

Bits error versus x

Bits error versus alpha

Derivation

1. Initial program 0.0

   \[e^{\frac{-{x}^{2}}{\alpha}}\]

2. Final simplification 0.0

   \[\leadsto e^{\frac{-{x}^{2}}{\alpha}}\]

Reproduce

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