Average Error: 0 → 0
Time: 765.0ms
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 r18260 = a;
        double r18261 = b;
        double r18262 = r18260 - r18261;
        double r18263 = fabs(r18262);
        double r18264 = 2.0;
        double r18265 = r18263 / r18264;
        return r18265;
}
↓
double f(double a, double b) {
        double r18266 = a;
        double r18267 = b;
        double r18268 = r18266 - r18267;
        double r18269 = fabs(r18268);
        double r18270 = 2.0;
        double r18271 = r18269 / r18270;
        return r18271;
}

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 2019325 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))