(- 1 (sqrt (- 1 (exp (- 1000.0)))))

Average Error: 0 → 0

Time: 2.0s

Precision: binary64

Math

\[1 - \sqrt{1 - e^{-10^{3}}}\]

↓

\[1 - \sqrt{1 - e^{-10^{3}}}\]

Derivation

1. Initial program 0

   \[1 - \sqrt{1 - e^{-10^{3}}}\]

2. Final simplification 0

   \[\leadsto 1 - \sqrt{1 - e^{-10^{3}}}\]

Reproduce

herbie shell --seed 2020152 
(FPCore ()
  :name "(- 1 (sqrt (- 1 (exp (- 1000.0)))))"
  :precision binary64
  (- 1.0 (sqrt (- 1.0 (exp (neg 1000.0))))))