Average Error: 14.5 → 14.5
Time: 708.0ms
Precision: binary64
\[\frac{1}{x + 1} - \frac{1}{x}\]
↓
\[\frac{1}{x + 1} - \frac{1}{x}\]
\frac{1}{x + 1} - \frac{1}{x}
↓
\frac{1}{x + 1} - \frac{1}{x}
double code(double x) {
	return ((double) (((double) (1.0 / ((double) (x + 1.0)))) - ((double) (1.0 / x))));
}
↓
double code(double x) {
	return ((double) (((double) (1.0 / ((double) (x + 1.0)))) - ((double) (1.0 / x))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 14.5

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

  2. Final simplification14.5

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

Reproduce

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