Average Error: 0 → 0
Time: 555.0ms
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 r17607 = a;
        double r17608 = b;
        double r17609 = r17607 - r17608;
        double r17610 = fabs(r17609);
        double r17611 = 2.0;
        double r17612 = r17610 / r17611;
        return r17612;
}
↓
double f(double a, double b) {
        double r17613 = a;
        double r17614 = b;
        double r17615 = r17613 - r17614;
        double r17616 = fabs(r17615);
        double r17617 = 2.0;
        double r17618 = r17616 / r17617;
        return r17618;
}

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 2020036 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))