Average Error: 29.0 → 29.0
Time: 882.0ms
Precision: binary64
\[\frac{x + 1}{x} - \frac{x}{x + 1}\]
↓
\[\frac{x + 1}{x} - \frac{x}{x + 1}\]
\frac{x + 1}{x} - \frac{x}{x + 1}
↓
\frac{x + 1}{x} - \frac{x}{x + 1}
double code(double x) {
	return ((double) (((double) (((double) (x + 1.0)) / x)) - ((double) (x / ((double) (x + 1.0))))));
}
↓
double code(double x) {
	return ((double) (((double) (((double) (x + 1.0)) / x)) - ((double) (x / ((double) (x + 1.0))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 29.0

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

  2. Final simplification29.0

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

Reproduce

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