Average Error: 0.0 → 0.0
Time: 1.3s
Precision: binary64
\[\frac{\sqrt{x + 1} - \sqrt{x}}{\sinh x}\]
↓
\[\frac{\sqrt{x + 1} - \sqrt{x}}{\sinh x}\]
\frac{\sqrt{x + 1} - \sqrt{x}}{\sinh x}
↓
\frac{\sqrt{x + 1} - \sqrt{x}}{\sinh x}
double code(double x) {
	return ((double) (((double) (((double) sqrt(((double) (x + 1.0)))) - ((double) sqrt(x)))) / ((double) sinh(x))));
}
↓
double code(double x) {
	return ((double) (((double) (((double) sqrt(((double) (x + 1.0)))) - ((double) sqrt(x)))) / ((double) sinh(x))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\frac{\sqrt{x + 1} - \sqrt{x}}{\sinh x}\]

  2. Final simplification0.0

    \[\leadsto \frac{\sqrt{x + 1} - \sqrt{x}}{\sinh x}\]

Reproduce

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