Average Error: 0 → 0
Time: 355.0ms
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 r17359 = a;
        double r17360 = b;
        double r17361 = r17359 - r17360;
        double r17362 = fabs(r17361);
        double r17363 = 2.0;
        double r17364 = r17362 / r17363;
        return r17364;
}
↓
double f(double a, double b) {
        double r17365 = a;
        double r17366 = b;
        double r17367 = r17365 - r17366;
        double r17368 = fabs(r17367);
        double r17369 = 2.0;
        double r17370 = r17368 / r17369;
        return r17370;
}

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 2020024 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))