(- (sqrt (/ 1 x)) x)

Average Error: 0.1 → 0.1

Time: 781.0ms

Precision: binary64

Math

\[\sqrt{\frac{1}{x}} - x\]

↓

\[\sqrt{\frac{1}{x}} - x\]

C

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

↓

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

Error

Bits error versus x

Derivation

1. Initial program 0.1

   \[\sqrt{\frac{1}{x}} - x\]

2. Final simplification 0.1

   \[\leadsto \sqrt{\frac{1}{x}} - x\]

Reproduce

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