Average Error: 21.0 → 21.0
Time: 957.0ms
Precision: binary64
\[\sqrt{x + 4} - \sqrt{x + 3}\]
↓
\[\sqrt{x + 4} - \sqrt{x + 3}\]
\sqrt{x + 4} - \sqrt{x + 3}
↓
\sqrt{x + 4} - \sqrt{x + 3}
double code(double x) {
	return ((double) (((double) sqrt(((double) (x + 4.0)))) - ((double) sqrt(((double) (x + 3.0))))));
}
↓
double code(double x) {
	return ((double) (((double) sqrt(((double) (x + 4.0)))) - ((double) sqrt(((double) (x + 3.0))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 21.0

    \[\sqrt{x + 4} - \sqrt{x + 3}\]

  2. Final simplification21.0

    \[\leadsto \sqrt{x + 4} - \sqrt{x + 3}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(- (sqrt (+ x 4)) (sqrt (+ x 3)))"
  :precision binary64
  (- (sqrt (+ x 4.0)) (sqrt (+ x 3.0))))