Average Error: 0 → 0
Time: 875.0ms
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 r719926 = a;
        double r719927 = b;
        double r719928 = r719926 - r719927;
        double r719929 = fabs(r719928);
        double r719930 = 2.0;
        double r719931 = r719929 / r719930;
        return r719931;
}
↓
double f(double a, double b) {
        double r719932 = a;
        double r719933 = b;
        double r719934 = r719932 - r719933;
        double r719935 = fabs(r719934);
        double r719936 = 2.0;
        double r719937 = r719935 / r719936;
        return r719937;
}

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 2019125 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2))