Average Error: 51.7 → 51.7
Time: 2.9s
Precision: binary64
\[\sqrt{a + b} - \sqrt{a - b}\]
↓
\[\sqrt{a + b} - \sqrt{a - b}\]
\sqrt{a + b} - \sqrt{a - b}
↓
\sqrt{a + b} - \sqrt{a - b}
double code(double a, double b) {
	return ((double) (((double) sqrt(((double) (a + b)))) - ((double) sqrt(((double) (a - b))))));
}
↓
double code(double a, double b) {
	return ((double) (((double) sqrt(((double) (a + b)))) - ((double) sqrt(((double) (a - 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 51.7

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

  2. Final simplification51.7

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

Reproduce

herbie shell --seed 2020152 
(FPCore (a b)
  :name "(- (sqrt (+ a b)) (sqrt (- a b)))"
  :precision binary64
  (- (sqrt (+ a b)) (sqrt (- a b))))