Average Error: 0 → 0
Time: 1.1s
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 r276321 = a;
        double r276322 = b;
        double r276323 = r276321 - r276322;
        double r276324 = fabs(r276323);
        double r276325 = 2.0;
        double r276326 = r276324 / r276325;
        return r276326;
}
↓
double f(double a, double b) {
        double r276327 = a;
        double r276328 = b;
        double r276329 = r276327 - r276328;
        double r276330 = fabs(r276329);
        double r276331 = 2.0;
        double r276332 = r276330 / r276331;
        return r276332;
}

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))