Average Error: 0.0 → 0.0
Time: 433.0ms
Precision: binary64
\[\left|1 - \frac{1}{x}\right|\]
↓
\[\left|1 - \frac{1}{x}\right|\]
\left|1 - \frac{1}{x}\right|
↓
\left|1 - \frac{1}{x}\right|
double code(double x) {
	return ((double) fabs(((double) (1.0 - ((double) (1.0 / x))))));
}
↓
double code(double x) {
	return ((double) fabs(((double) (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 0.0

    \[\left|1 - \frac{1}{x}\right|\]

  2. Final simplification0.0

    \[\leadsto \left|1 - \frac{1}{x}\right|\]

Reproduce

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