Average Error: 0 → 0
Time: 894.0ms
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 r276323 = a;
        double r276324 = b;
        double r276325 = r276323 - r276324;
        double r276326 = fabs(r276325);
        double r276327 = 2.0;
        double r276328 = r276326 / r276327;
        return r276328;
}
↓
double f(double a, double b) {
        double r276329 = a;
        double r276330 = b;
        double r276331 = r276329 - r276330;
        double r276332 = fabs(r276331);
        double r276333 = 2.0;
        double r276334 = r276332 / r276333;
        return r276334;
}

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 2019172 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2.0))