Average Error: 0 → 0
Time: 1.2s
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 r17788 = a;
        double r17789 = b;
        double r17790 = r17788 - r17789;
        double r17791 = fabs(r17790);
        double r17792 = 2.0;
        double r17793 = r17791 / r17792;
        return r17793;
}
↓
double f(double a, double b) {
        double r17794 = a;
        double r17795 = b;
        double r17796 = r17794 - r17795;
        double r17797 = fabs(r17796);
        double r17798 = 2.0;
        double r17799 = r17797 / r17798;
        return r17799;
}

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 2019212 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))