Average Error: 0 → 0
Time: 936.0ms
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 r351560 = a;
        double r351561 = b;
        double r351562 = r351560 - r351561;
        double r351563 = fabs(r351562);
        double r351564 = 2.0;
        double r351565 = r351563 / r351564;
        return r351565;
}
↓
double f(double a, double b) {
        double r351566 = a;
        double r351567 = b;
        double r351568 = r351566 - r351567;
        double r351569 = fabs(r351568);
        double r351570 = 2.0;
        double r351571 = r351569 / r351570;
        return r351571;
}

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 2019107 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2))