Average Error: 0.3 → 0.3
Time: 2.0s
Precision: binary64
\[\frac{\sqrt{y} - z}{y - \sqrt{z}}\]
\[\frac{\sqrt{y} - z}{y - \sqrt{z}}\]
\frac{\sqrt{y} - z}{y - \sqrt{z}}
\frac{\sqrt{y} - z}{y - \sqrt{z}}
double code(double y, double z) {
	return ((double) (((double) (((double) sqrt(y)) - z)) / ((double) (y - ((double) sqrt(z))))));
}
double code(double y, double z) {
	return ((double) (((double) (((double) sqrt(y)) - 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 0.3

    \[\frac{\sqrt{y} - z}{y - \sqrt{z}}\]
  2. Final simplification0.3

    \[\leadsto \frac{\sqrt{y} - z}{y - \sqrt{z}}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (y z)
  :name "(/ (- (sqrt y) z) (- y (sqrt z)))"
  :precision binary64
  (/ (- (sqrt y) z) (- y (sqrt z))))