Average Error: 24.6 → 24.6
Time: 1.2s
Precision: binary64
\[\sqrt{\frac{p \cdot \left(1 - p\right)}{x}}\]
↓
\[\sqrt{\frac{p \cdot \left(1 - p\right)}{x}}\]
\sqrt{\frac{p \cdot \left(1 - p\right)}{x}}
↓
\sqrt{\frac{p \cdot \left(1 - p\right)}{x}}
double code(double p, double x) {
	return ((double) sqrt(((double) (((double) (p * ((double) (1.0 - p)))) / x))));
}
↓
double code(double p, double x) {
	return ((double) sqrt(((double) (((double) (p * ((double) (1.0 - p)))) / x))));
}

Error

Bits error versus p

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 24.6

    \[\sqrt{\frac{p \cdot \left(1 - p\right)}{x}}\]

  2. Final simplification24.6

    \[\leadsto \sqrt{\frac{p \cdot \left(1 - p\right)}{x}}\]

Reproduce

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