Average Error: 19.7 → 19.7
Time: 1.1s
Precision: binary64
\[\sqrt{{\left(\frac{p}{q - r}\right)}^{2}}\]
↓
\[\sqrt{{\left(\frac{p}{q - r}\right)}^{2}}\]
\sqrt{{\left(\frac{p}{q - r}\right)}^{2}}
↓
\sqrt{{\left(\frac{p}{q - r}\right)}^{2}}
double code(double p, double q, double r) {
	return ((double) sqrt(((double) pow(((double) (p / ((double) (q - r)))), 2.0))));
}
↓
double code(double p, double q, double r) {
	return ((double) sqrt(((double) pow(((double) (p / ((double) (q - r)))), 2.0))));
}

Error

Bits error versus p

Bits error versus q

Bits error versus r

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 19.7

    \[\sqrt{{\left(\frac{p}{q - r}\right)}^{2}}\]

  2. Final simplification19.7

    \[\leadsto \sqrt{{\left(\frac{p}{q - r}\right)}^{2}}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (p q r)
  :name "(sqrt (pow (/ p (- q r)) 2))"
  :precision binary64
  (sqrt (pow (/ p (- q r)) 2.0)))