Average Error: 0 → 0
Time: 360.0ms
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 r17324 = a;
        double r17325 = b;
        double r17326 = r17324 - r17325;
        double r17327 = fabs(r17326);
        double r17328 = 2.0;
        double r17329 = r17327 / r17328;
        return r17329;
}
↓
double f(double a, double b) {
        double r17330 = a;
        double r17331 = b;
        double r17332 = r17330 - r17331;
        double r17333 = fabs(r17332);
        double r17334 = 2.0;
        double r17335 = r17333 / r17334;
        return r17335;
}

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 2020059 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))