Average Error: 0 → 0
Time: 483.0ms
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 r18928 = a;
        double r18929 = b;
        double r18930 = r18928 - r18929;
        double r18931 = fabs(r18930);
        double r18932 = 2.0;
        double r18933 = r18931 / r18932;
        return r18933;
}
↓
double f(double a, double b) {
        double r18934 = a;
        double r18935 = b;
        double r18936 = r18934 - r18935;
        double r18937 = fabs(r18936);
        double r18938 = 2.0;
        double r18939 = r18937 / r18938;
        return r18939;
}

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 2020089 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))