Average Error: 0 → 0
Time: 662.0ms
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 r17786 = a;
        double r17787 = b;
        double r17788 = r17786 - r17787;
        double r17789 = fabs(r17788);
        double r17790 = 2.0;
        double r17791 = r17789 / r17790;
        return r17791;
}
↓
double f(double a, double b) {
        double r17792 = a;
        double r17793 = b;
        double r17794 = r17792 - r17793;
        double r17795 = fabs(r17794);
        double r17796 = 2.0;
        double r17797 = r17795 / r17796;
        return r17797;
}

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 2019347 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))