Average Error: 0 → 0
Time: 1.7s
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 r223748 = a;
        double r223749 = b;
        double r223750 = r223748 - r223749;
        double r223751 = fabs(r223750);
        double r223752 = 2.0;
        double r223753 = r223751 / r223752;
        return r223753;
}
↓
double f(double a, double b) {
        double r223754 = a;
        double r223755 = b;
        double r223756 = r223754 - r223755;
        double r223757 = fabs(r223756);
        double r223758 = 2.0;
        double r223759 = r223757 / r223758;
        return r223759;
}

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 2019168 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2.0))