Average Error: 0 → 0
Time: 945.0ms
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 r174916 = a;
        double r174917 = b;
        double r174918 = r174916 - r174917;
        double r174919 = fabs(r174918);
        double r174920 = 2.0;
        double r174921 = r174919 / r174920;
        return r174921;
}
↓
double f(double a, double b) {
        double r174922 = a;
        double r174923 = b;
        double r174924 = r174922 - r174923;
        double r174925 = fabs(r174924);
        double r174926 = 2.0;
        double r174927 = r174925 / r174926;
        return r174927;
}

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 2019129 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2))