Average Error: 0 → 0
Time: 356.0ms
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 r17723 = a;
        double r17724 = b;
        double r17725 = r17723 - r17724;
        double r17726 = fabs(r17725);
        double r17727 = 2.0;
        double r17728 = r17726 / r17727;
        return r17728;
}
↓
double f(double a, double b) {
        double r17729 = a;
        double r17730 = b;
        double r17731 = r17729 - r17730;
        double r17732 = fabs(r17731);
        double r17733 = 2.0;
        double r17734 = r17732 / r17733;
        return r17734;
}

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