Average Error: 0 → 0
Time: 930.0ms
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 r10789 = a;
        double r10790 = b;
        double r10791 = r10789 - r10790;
        double r10792 = fabs(r10791);
        double r10793 = 2.0;
        double r10794 = r10792 / r10793;
        return r10794;
}
↓
double f(double a, double b) {
        double r10795 = a;
        double r10796 = b;
        double r10797 = r10795 - r10796;
        double r10798 = fabs(r10797);
        double r10799 = 2.0;
        double r10800 = r10798 / r10799;
        return r10800;
}

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 2019198 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2.0))