Average Error: 0 → 0
Time: 806.0ms
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 r10805 = a;
        double r10806 = b;
        double r10807 = r10805 - r10806;
        double r10808 = fabs(r10807);
        double r10809 = 2.0;
        double r10810 = r10808 / r10809;
        return r10810;
}
↓
double f(double a, double b) {
        double r10811 = a;
        double r10812 = b;
        double r10813 = r10811 - r10812;
        double r10814 = fabs(r10813);
        double r10815 = 2.0;
        double r10816 = r10814 / r10815;
        return r10816;
}

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 2019297 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))