Average Error: 19.0 → 19.0
Time: 1.4s
Precision: binary64
\[\sqrt{\frac{1}{n - 2} \cdot \frac{a}{b}}\]
↓
\[\sqrt{\frac{1}{n - 2} \cdot \frac{a}{b}}\]
\sqrt{\frac{1}{n - 2} \cdot \frac{a}{b}}
↓
\sqrt{\frac{1}{n - 2} \cdot \frac{a}{b}}
double code(double n, double a, double b) {
	return ((double) sqrt(((double) (((double) (1.0 / ((double) (n - 2.0)))) * ((double) (a / b))))));
}
↓
double code(double n, double a, double b) {
	return ((double) sqrt(((double) (((double) (1.0 / ((double) (n - 2.0)))) * ((double) (a / b))))));
}

Error

Bits error versus n

Bits error versus a

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 19.0

    \[\sqrt{\frac{1}{n - 2} \cdot \frac{a}{b}}\]

  2. Final simplification19.0

    \[\leadsto \sqrt{\frac{1}{n - 2} \cdot \frac{a}{b}}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (n a b)
  :name "(sqrt (* (/ 1 (- n 2)) (/ a b)))"
  :precision binary64
  (sqrt (* (/ 1.0 (- n 2.0)) (/ a b))))