Average Error: 0 → 0
Time: 362.0ms
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 r17343 = a;
        double r17344 = b;
        double r17345 = r17343 - r17344;
        double r17346 = fabs(r17345);
        double r17347 = 2.0;
        double r17348 = r17346 / r17347;
        return r17348;
}
↓
double f(double a, double b) {
        double r17349 = a;
        double r17350 = b;
        double r17351 = r17349 - r17350;
        double r17352 = fabs(r17351);
        double r17353 = 2.0;
        double r17354 = r17352 / r17353;
        return r17354;
}

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 2020060 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))