Average Error: 0 → 0
Time: 411.0ms
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 r17419 = a;
        double r17420 = b;
        double r17421 = r17419 - r17420;
        double r17422 = fabs(r17421);
        double r17423 = 2.0;
        double r17424 = r17422 / r17423;
        return r17424;
}
↓
double f(double a, double b) {
        double r17425 = a;
        double r17426 = b;
        double r17427 = r17425 - r17426;
        double r17428 = fabs(r17427);
        double r17429 = 2.0;
        double r17430 = r17428 / r17429;
        return r17430;
}

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 2019353 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))