Average Error: 14.9 → 14.9
Time: 888.0ms
Precision: binary64
\[\frac{1}{x} - \frac{1}{x + dx}\]
↓
\[\frac{1}{x} - \frac{1}{x + dx}\]
\frac{1}{x} - \frac{1}{x + dx}
↓
\frac{1}{x} - \frac{1}{x + dx}
double code(double x, double dx) {
	return ((double) (((double) (1.0 / x)) - ((double) (1.0 / ((double) (x + dx))))));
}
↓
double code(double x, double dx) {
	return ((double) (((double) (1.0 / x)) - ((double) (1.0 / ((double) (x + dx))))));
}

Error

Bits error versus x

Bits error versus dx

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 14.9

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

  2. Final simplification14.9

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

Reproduce

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