Average Error: 0 → 0
Time: 354.0ms
Precision: 64
\[\frac{\left|a - b\right|}{2}\]
↓
\[\frac{\left|a - b\right|}{2}\]
\frac{\left|a - b\right|}{2}
↓
\frac{\left|a - b\right|}{2}
double f(double a, double b) {
        double r17614 = a;
        double r17615 = b;
        double r17616 = r17614 - r17615;
        double r17617 = fabs(r17616);
        double r17618 = 2.0;
        double r17619 = r17617 / r17618;
        return r17619;
}
↓
double f(double a, double b) {
        double r17620 = a;
        double r17621 = b;
        double r17622 = r17620 - r17621;
        double r17623 = fabs(r17622);
        double r17624 = 2.0;
        double r17625 = r17623 / r17624;
        return r17625;
}

Error

Bits error versus a

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0

    \[\frac{\left|a - b\right|}{2}\]

  2. Final simplification0

    \[\leadsto \frac{\left|a - b\right|}{2}\]

Reproduce

herbie shell --seed 2020056 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))