Average Error: 30.0 → 30.0
Time: 2.0s
Precision: binary64
\[\sin \left(\sqrt{x + 1} - \sqrt{x}\right)\]
↓
\[\sin \left(\sqrt{x + 1} - \sqrt{x}\right)\]
\sin \left(\sqrt{x + 1} - \sqrt{x}\right)
↓
\sin \left(\sqrt{x + 1} - \sqrt{x}\right)
double code(double x) {
	return ((double) sin(((double) (((double) sqrt(((double) (x + 1.0)))) - ((double) sqrt(x))))));
}
↓
double code(double x) {
	return ((double) sin(((double) (((double) sqrt(((double) (x + 1.0)))) - ((double) sqrt(x))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 30.0

    \[\sin \left(\sqrt{x + 1} - \sqrt{x}\right)\]

  2. Final simplification30.0

    \[\leadsto \sin \left(\sqrt{x + 1} - \sqrt{x}\right)\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(sin (- (sqrt (+ x 1)) (sqrt x)))"
  :precision binary64
  (sin (- (sqrt (+ x 1.0)) (sqrt x))))