Average Error: 0 → 0
Time: 773.0ms
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 r249163 = a;
        double r249164 = b;
        double r249165 = r249163 - r249164;
        double r249166 = fabs(r249165);
        double r249167 = 2.0;
        double r249168 = r249166 / r249167;
        return r249168;
}
↓
double f(double a, double b) {
        double r249169 = a;
        double r249170 = b;
        double r249171 = r249169 - r249170;
        double r249172 = fabs(r249171);
        double r249173 = 2.0;
        double r249174 = r249172 / r249173;
        return r249174;
}

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 2019162 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2))