Average Error: 0 → 0
Time: 359.0ms
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 r17684 = a;
        double r17685 = b;
        double r17686 = r17684 - r17685;
        double r17687 = fabs(r17686);
        double r17688 = 2.0;
        double r17689 = r17687 / r17688;
        return r17689;
}
↓
double f(double a, double b) {
        double r17690 = a;
        double r17691 = b;
        double r17692 = r17690 - r17691;
        double r17693 = fabs(r17692);
        double r17694 = 2.0;
        double r17695 = r17693 / r17694;
        return r17695;
}

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 2020025 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))