Average Error: 0.0 → 0.0
Time: 1.7s
Precision: binary64
\[\sqrt{a} - \sqrt{b}\]
↓
\[\sqrt{a} - \sqrt{b}\]
\sqrt{a} - \sqrt{b}
↓
\sqrt{a} - \sqrt{b}
double code(double a, double b) {
	return ((double) (((double) sqrt(a)) - ((double) sqrt(b))));
}
↓
double code(double a, double b) {
	return ((double) (((double) sqrt(a)) - ((double) sqrt(b))));
}

Error

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 0.0

    \[\sqrt{a} - \sqrt{b}\]

  2. Final simplification0.0

    \[\leadsto \sqrt{a} - \sqrt{b}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (a b)
  :name "(- (sqrt a) (sqrt b))"
  :precision binary64
  (- (sqrt a) (sqrt b)))