Exception for (- (sqrt (- (- (sqrt (+ x 1)) x) 1)) (sqrt x))

Math

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

C

double code(double x) {
	return ((double) (((double) sqrt(((double) (((double) (((double) sqrt(((double) (x + 1.0)))) - x)) - 1.0)))) - ((double) sqrt(x))));
}

Reproduce

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