Average Error: 0 → 0
Time: 977.0ms
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 r364922 = a;
        double r364923 = b;
        double r364924 = r364922 - r364923;
        double r364925 = fabs(r364924);
        double r364926 = 2.0;
        double r364927 = r364925 / r364926;
        return r364927;
}
↓
double f(double a, double b) {
        double r364928 = a;
        double r364929 = b;
        double r364930 = r364928 - r364929;
        double r364931 = fabs(r364930);
        double r364932 = 2.0;
        double r364933 = r364931 / r364932;
        return r364933;
}

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 2019146 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2))