(- (- x) (sqrt (+ (pow x 2) 1)))

Average Error: 23.6 → 23.6

Time: 1.3s

Precision: binary64

Math

\[\left(-x\right) - \sqrt{{x}^{2} + 1}\]

↓

\[\left(-x\right) - \sqrt{{x}^{2} + 1}\]

Error

Bits error versus x

Derivation

1. Initial program 23.6

   \[\left(-x\right) - \sqrt{{x}^{2} + 1}\]

2. Final simplification 23.6

   \[\leadsto \left(-x\right) - \sqrt{{x}^{2} + 1}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(- (- x) (sqrt (+ (pow x 2) 1)))"
  :precision binary64
  (- (neg x) (sqrt (+ (pow x 2.0) 1.0))))