Average Error: 0 → 0
Time: 489.0ms
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 r17393 = a;
        double r17394 = b;
        double r17395 = r17393 - r17394;
        double r17396 = fabs(r17395);
        double r17397 = 2.0;
        double r17398 = r17396 / r17397;
        return r17398;
}
↓
double f(double a, double b) {
        double r17399 = a;
        double r17400 = b;
        double r17401 = r17399 - r17400;
        double r17402 = fabs(r17401);
        double r17403 = 2.0;
        double r17404 = r17402 / r17403;
        return r17404;
}

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 2020083 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))