Average Error: 0 → 0
Time: 402.0ms
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 r19356 = a;
        double r19357 = b;
        double r19358 = r19356 - r19357;
        double r19359 = fabs(r19358);
        double r19360 = 2.0;
        double r19361 = r19359 / r19360;
        return r19361;
}
↓
double f(double a, double b) {
        double r19362 = a;
        double r19363 = b;
        double r19364 = r19362 - r19363;
        double r19365 = fabs(r19364);
        double r19366 = 2.0;
        double r19367 = r19365 / r19366;
        return r19367;
}

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 2019353 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))