Average Error: 0 → 0
Time: 992.0ms
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 r528815 = a;
        double r528816 = b;
        double r528817 = r528815 - r528816;
        double r528818 = fabs(r528817);
        double r528819 = 2.0;
        double r528820 = r528818 / r528819;
        return r528820;
}
↓
double f(double a, double b) {
        double r528821 = a;
        double r528822 = b;
        double r528823 = r528821 - r528822;
        double r528824 = fabs(r528823);
        double r528825 = 2.0;
        double r528826 = r528824 / r528825;
        return r528826;
}

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 2019158 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2))