Average Error: 0.1 → 0.1
Time: 597.0ms
Precision: binary64
\[\sqrt{\frac{x - 1}{x}}\]
↓
\[\sqrt{\frac{x - 1}{x}}\]
\sqrt{\frac{x - 1}{x}}
↓
\sqrt{\frac{x - 1}{x}}
double code(double x) {
	return ((double) sqrt(((double) (((double) (x - 1.0)) / x))));
}
↓
double code(double x) {
	return ((double) sqrt(((double) (((double) (x - 1.0)) / x))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

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

  2. Final simplification0.1

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

Reproduce

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