Average Error: 0 → 0
Time: 1.4s
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 r274286 = a;
        double r274287 = b;
        double r274288 = r274286 - r274287;
        double r274289 = fabs(r274288);
        double r274290 = 2.0;
        double r274291 = r274289 / r274290;
        return r274291;
}
↓
double f(double a, double b) {
        double r274292 = a;
        double r274293 = b;
        double r274294 = r274292 - r274293;
        double r274295 = fabs(r274294);
        double r274296 = 2.0;
        double r274297 = r274295 / r274296;
        return r274297;
}

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 2019174 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2.0))