Average Error: 0.5 → 0.5
Time: 2.8s
Precision: binary64
\[\frac{{\left(\sqrt{y}\right)}^{2} - z}{y - \sqrt{z}}\]
↓
\[\frac{{\left(\sqrt{y}\right)}^{2} - z}{y - \sqrt{z}}\]
\frac{{\left(\sqrt{y}\right)}^{2} - z}{y - \sqrt{z}}
↓
\frac{{\left(\sqrt{y}\right)}^{2} - z}{y - \sqrt{z}}
double code(double y, double z) {
	return ((double) (((double) (((double) pow(((double) sqrt(y)), 2.0)) - z)) / ((double) (y - ((double) sqrt(z))))));
}
↓
double code(double y, double z) {
	return ((double) (((double) (((double) pow(((double) sqrt(y)), 2.0)) - z)) / ((double) (y - ((double) sqrt(z))))));
}

Error

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.5

    \[\frac{{\left(\sqrt{y}\right)}^{2} - z}{y - \sqrt{z}}\]

  2. Final simplification0.5

    \[\leadsto \frac{{\left(\sqrt{y}\right)}^{2} - z}{y - \sqrt{z}}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (y z)
  :name "(/ (- (pow (sqrt y) 2) z) (- y (sqrt z)))"
  :precision binary64
  (/ (- (pow (sqrt y) 2.0) z) (- y (sqrt z))))