Average Error: 0 → 0
Time: 1.2s
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 r18429 = a;
        double r18430 = b;
        double r18431 = r18429 - r18430;
        double r18432 = fabs(r18431);
        double r18433 = 2.0;
        double r18434 = r18432 / r18433;
        return r18434;
}
↓
double f(double a, double b) {
        double r18435 = a;
        double r18436 = b;
        double r18437 = r18435 - r18436;
        double r18438 = fabs(r18437);
        double r18439 = 2.0;
        double r18440 = r18438 / r18439;
        return r18440;
}

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 2019305 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))