Average Error: 0 → 0
Time: 672.0ms
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 r17323 = a;
        double r17324 = b;
        double r17325 = r17323 - r17324;
        double r17326 = fabs(r17325);
        double r17327 = 2.0;
        double r17328 = r17326 / r17327;
        return r17328;
}
↓
double f(double a, double b) {
        double r17329 = a;
        double r17330 = b;
        double r17331 = r17329 - r17330;
        double r17332 = fabs(r17331);
        double r17333 = 2.0;
        double r17334 = r17332 / r17333;
        return r17334;
}

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 2019347 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))