(+ (sqrt (- 1 x)) (cosh x))

Average Error: 0.0 → 0.0

Time: 1.0s

Precision: binary64

Math

\[\sqrt{1 - x} + \cosh x\]

↓

\[\sqrt{1 - x} + \cosh x\]

C

double code(double x) {
	return ((double) (((double) sqrt(((double) (1.0 - x)))) + ((double) cosh(x))));
}

↓

double code(double x) {
	return ((double) (((double) sqrt(((double) (1.0 - x)))) + ((double) cosh(x))));
}

Error

Bits error versus x

Derivation

1. Initial program 0.0

   \[\sqrt{1 - x} + \cosh x\]

2. Final simplification 0.0

   \[\leadsto \sqrt{1 - x} + \cosh x\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(+ (sqrt (- 1 x)) (cosh x))"
  :precision binary64
  (+ (sqrt (- 1.0 x)) (cosh x)))