Average Error: 0 → 0
Time: 727.0ms
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 r29896 = a;
        double r29897 = b;
        double r29898 = r29896 - r29897;
        double r29899 = fabs(r29898);
        double r29900 = 2.0;
        double r29901 = r29899 / r29900;
        return r29901;
}
↓
double f(double a, double b) {
        double r29902 = a;
        double r29903 = b;
        double r29904 = r29902 - r29903;
        double r29905 = fabs(r29904);
        double r29906 = 2.0;
        double r29907 = r29905 / r29906;
        return r29907;
}

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 2019209 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))