(- (exp (- x)) (exp (- y)))

Average Error: 25.4 → 25.4

Time: 1.6s

Precision: binary64

Math

\[e^{-x} - e^{-y}\]

↓

\[e^{-x} - e^{-y}\]

Error

Bits error versus x

Bits error versus y

Derivation

1. Initial program 25.4

   \[e^{-x} - e^{-y}\]

2. Final simplification 25.4

   \[\leadsto e^{-x} - e^{-y}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x y)
  :name "(- (exp (- x)) (exp (- y)))"
  :precision binary64
  (- (exp (neg x)) (exp (neg y))))