Average Error: 0 → 0
Time: 346.0ms
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 r17980 = a;
        double r17981 = b;
        double r17982 = r17980 - r17981;
        double r17983 = fabs(r17982);
        double r17984 = 2.0;
        double r17985 = r17983 / r17984;
        return r17985;
}
↓
double f(double a, double b) {
        double r17986 = a;
        double r17987 = b;
        double r17988 = r17986 - r17987;
        double r17989 = fabs(r17988);
        double r17990 = 2.0;
        double r17991 = r17989 / r17990;
        return r17991;
}

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 2020056 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))