Average Error: 0 → 0
Time: 572.0ms
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 r27238 = a;
        double r27239 = b;
        double r27240 = r27238 - r27239;
        double r27241 = fabs(r27240);
        double r27242 = 2.0;
        double r27243 = r27241 / r27242;
        return r27243;
}
↓
double f(double a, double b) {
        double r27244 = a;
        double r27245 = b;
        double r27246 = r27244 - r27245;
        double r27247 = fabs(r27246);
        double r27248 = 2.0;
        double r27249 = r27247 / r27248;
        return r27249;
}

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 2019322 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))