Average Error: 0 → 0
Time: 378.0ms
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 r17705 = a;
        double r17706 = b;
        double r17707 = r17705 - r17706;
        double r17708 = fabs(r17707);
        double r17709 = 2.0;
        double r17710 = r17708 / r17709;
        return r17710;
}
↓
double f(double a, double b) {
        double r17711 = a;
        double r17712 = b;
        double r17713 = r17711 - r17712;
        double r17714 = fabs(r17713);
        double r17715 = 2.0;
        double r17716 = r17714 / r17715;
        return r17716;
}

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 2020039 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))