Average Error: 0 → 0
Time: 486.0ms
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 r18864 = a;
        double r18865 = b;
        double r18866 = r18864 - r18865;
        double r18867 = fabs(r18866);
        double r18868 = 2.0;
        double r18869 = r18867 / r18868;
        return r18869;
}
↓
double f(double a, double b) {
        double r18870 = a;
        double r18871 = b;
        double r18872 = r18870 - r18871;
        double r18873 = fabs(r18872);
        double r18874 = 2.0;
        double r18875 = r18873 / r18874;
        return r18875;
}

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 2020100 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))