Average Error: 1.1 → 1.1
Time: 680.0ms
Precision: binary64
\[\sqrt{x + 1} - \sqrt{2}\]
↓
\[\sqrt{x + 1} - \sqrt{2}\]
\sqrt{x + 1} - \sqrt{2}
↓
\sqrt{x + 1} - \sqrt{2}
double code(double x) {
	return ((double) (((double) sqrt(((double) (x + 1.0)))) - ((double) sqrt(2.0))));
}
↓
double code(double x) {
	return ((double) (((double) sqrt(((double) (x + 1.0)))) - ((double) sqrt(2.0))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 1.1

    \[\sqrt{x + 1} - \sqrt{2}\]

  2. Final simplification1.1

    \[\leadsto \sqrt{x + 1} - \sqrt{2}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(- (sqrt (+ x 1)) (sqrt 2))"
  :precision binary64
  (- (sqrt (+ x 1.0)) (sqrt 2.0)))