Average Error: 0 → 0
Time: 987.0ms
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 r888816 = a;
        double r888817 = b;
        double r888818 = r888816 - r888817;
        double r888819 = fabs(r888818);
        double r888820 = 2.0;
        double r888821 = r888819 / r888820;
        return r888821;
}
↓
double f(double a, double b) {
        double r888822 = a;
        double r888823 = b;
        double r888824 = r888822 - r888823;
        double r888825 = fabs(r888824);
        double r888826 = 2.0;
        double r888827 = r888825 / r888826;
        return r888827;
}

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 2019163 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2))