Average Error: 0 → 0
Time: 364.0ms
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 r17609 = a;
        double r17610 = b;
        double r17611 = r17609 - r17610;
        double r17612 = fabs(r17611);
        double r17613 = 2.0;
        double r17614 = r17612 / r17613;
        return r17614;
}
↓
double f(double a, double b) {
        double r17615 = a;
        double r17616 = b;
        double r17617 = r17615 - r17616;
        double r17618 = fabs(r17617);
        double r17619 = 2.0;
        double r17620 = r17618 / r17619;
        return r17620;
}

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))