Average Error: 0 → 0
Time: 404.0ms
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 r18464 = a;
        double r18465 = b;
        double r18466 = r18464 - r18465;
        double r18467 = fabs(r18466);
        double r18468 = 2.0;
        double r18469 = r18467 / r18468;
        return r18469;
}
↓
double f(double a, double b) {
        double r18470 = a;
        double r18471 = b;
        double r18472 = r18470 - r18471;
        double r18473 = fabs(r18472);
        double r18474 = 2.0;
        double r18475 = r18473 / r18474;
        return r18475;
}

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 2019356 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))