Average Error: 0 → 0
Time: 2.5s
Precision: 64
\[\frac{\left|a - b\right|}{2.0}\]
↓
\[\frac{\left|a - b\right|}{2.0}\]
\frac{\left|a - b\right|}{2.0}
↓
\frac{\left|a - b\right|}{2.0}
double f(double a, double b) {
        double r394739 = a;
        double r394740 = b;
        double r394741 = r394739 - r394740;
        double r394742 = fabs(r394741);
        double r394743 = 2.0;
        double r394744 = r394742 / r394743;
        return r394744;
}
↓
double f(double a, double b) {
        double r394745 = a;
        double r394746 = b;
        double r394747 = r394745 - r394746;
        double r394748 = fabs(r394747);
        double r394749 = 2.0;
        double r394750 = r394748 / r394749;
        return r394750;
}

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

    \[\frac{\left|a - b\right|}{2.0}\]

  2. Final simplification0

    \[\leadsto \frac{\left|a - b\right|}{2.0}\]

Reproduce

herbie shell --seed 2019165 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2.0))