Average Error: 0 → 0
Time: 777.0ms
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 r22928 = a;
        double r22929 = b;
        double r22930 = r22928 - r22929;
        double r22931 = fabs(r22930);
        double r22932 = 2.0;
        double r22933 = r22931 / r22932;
        return r22933;
}
↓
double f(double a, double b) {
        double r22934 = a;
        double r22935 = b;
        double r22936 = r22934 - r22935;
        double r22937 = fabs(r22936);
        double r22938 = 2.0;
        double r22939 = r22937 / r22938;
        return r22939;
}

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 2019303 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))