Average Error: 0 → 0
Time: 850.0ms
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 r11898 = a;
        double r11899 = b;
        double r11900 = r11898 - r11899;
        double r11901 = fabs(r11900);
        double r11902 = 2.0;
        double r11903 = r11901 / r11902;
        return r11903;
}
↓
double f(double a, double b) {
        double r11904 = a;
        double r11905 = b;
        double r11906 = r11904 - r11905;
        double r11907 = fabs(r11906);
        double r11908 = 2.0;
        double r11909 = r11907 / r11908;
        return r11909;
}

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 2019294 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))