Average Error: 0.0 → 0.0
Time: 1.8s
Precision: binary64
\[\sqrt{\frac{x}{x - 1}} - \sqrt{x}\]
↓
\[\sqrt{\frac{x}{x - 1}} - \sqrt{x}\]
\sqrt{\frac{x}{x - 1}} - \sqrt{x}
↓
\sqrt{\frac{x}{x - 1}} - \sqrt{x}
double code(double x) {
	return ((double) (((double) sqrt(((double) (x / ((double) (x - 1.0)))))) - ((double) sqrt(x))));
}
↓
double code(double x) {
	return ((double) (((double) sqrt(((double) (x / ((double) (x - 1.0)))))) - ((double) sqrt(x))));
}

Error

Bits error versus x

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Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

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

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(- (sqrt (/ x (- x 1))) (sqrt x))"
  :precision binary64
  (- (sqrt (/ x (- x 1.0))) (sqrt x)))