Average Error: 0.0 → 0.0
Time: 1.4s
Precision: binary64
\[\sqrt{x + 1} - \sqrt{X}\]
↓
\[\sqrt{x + 1} - \sqrt{X}\]
\sqrt{x + 1} - \sqrt{X}
↓
\sqrt{x + 1} - \sqrt{X}
double code(double x, double X) {
	return ((double) (((double) sqrt(((double) (x + 1.0)))) - ((double) sqrt(X))));
}
↓
double code(double x, double X) {
	return ((double) (((double) sqrt(((double) (x + 1.0)))) - ((double) sqrt(X))));
}

Error

Bits error versus x

Bits error versus X

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\sqrt{x + 1} - \sqrt{X}\]

  2. Final simplification0.0

    \[\leadsto \sqrt{x + 1} - \sqrt{X}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x X)
  :name "(- (sqrt (+ x 1)) (sqrt X))"
  :precision binary64
  (- (sqrt (+ x 1.0)) (sqrt X)))