Average Error: 0 → 0
Time: 1.2s
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 r164910 = a;
        double r164911 = b;
        double r164912 = r164910 - r164911;
        double r164913 = fabs(r164912);
        double r164914 = 2.0;
        double r164915 = r164913 / r164914;
        return r164915;
}
↓
double f(double a, double b) {
        double r164916 = a;
        double r164917 = b;
        double r164918 = r164916 - r164917;
        double r164919 = fabs(r164918);
        double r164920 = 2.0;
        double r164921 = r164919 / r164920;
        return r164921;
}

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 2019168 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2))