Average Error: 0 → 0
Time: 350.0ms
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 r18703 = a;
        double r18704 = b;
        double r18705 = r18703 - r18704;
        double r18706 = fabs(r18705);
        double r18707 = 2.0;
        double r18708 = r18706 / r18707;
        return r18708;
}
↓
double f(double a, double b) {
        double r18709 = a;
        double r18710 = b;
        double r18711 = r18709 - r18710;
        double r18712 = fabs(r18711);
        double r18713 = 2.0;
        double r18714 = r18712 / r18713;
        return r18714;
}

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 2020042 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))