Average Error: 0 → 0
Time: 545.0ms
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 r17771 = a;
        double r17772 = b;
        double r17773 = r17771 - r17772;
        double r17774 = fabs(r17773);
        double r17775 = 2.0;
        double r17776 = r17774 / r17775;
        return r17776;
}
↓
double f(double a, double b) {
        double r17777 = a;
        double r17778 = b;
        double r17779 = r17777 - r17778;
        double r17780 = fabs(r17779);
        double r17781 = 2.0;
        double r17782 = r17780 / r17781;
        return r17782;
}

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 2020035 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))