Average Error: 0 → 0
Time: 377.0ms
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 r21864 = a;
        double r21865 = b;
        double r21866 = r21864 - r21865;
        double r21867 = fabs(r21866);
        double r21868 = 2.0;
        double r21869 = r21867 / r21868;
        return r21869;
}
↓
double f(double a, double b) {
        double r21870 = a;
        double r21871 = b;
        double r21872 = r21870 - r21871;
        double r21873 = fabs(r21872);
        double r21874 = 2.0;
        double r21875 = r21873 / r21874;
        return r21875;
}

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 2020065 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))