Average Error: 0 → 0
Time: 406.0ms
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 r17421 = a;
        double r17422 = b;
        double r17423 = r17421 - r17422;
        double r17424 = fabs(r17423);
        double r17425 = 2.0;
        double r17426 = r17424 / r17425;
        return r17426;
}
↓
double f(double a, double b) {
        double r17427 = a;
        double r17428 = b;
        double r17429 = r17427 - r17428;
        double r17430 = fabs(r17429);
        double r17431 = 2.0;
        double r17432 = r17430 / r17431;
        return r17432;
}

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 2020003 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))