Average Error: 0 → 0
Time: 358.0ms
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 r18498 = a;
        double r18499 = b;
        double r18500 = r18498 - r18499;
        double r18501 = fabs(r18500);
        double r18502 = 2.0;
        double r18503 = r18501 / r18502;
        return r18503;
}
↓
double f(double a, double b) {
        double r18504 = a;
        double r18505 = b;
        double r18506 = r18504 - r18505;
        double r18507 = fabs(r18506);
        double r18508 = 2.0;
        double r18509 = r18507 / r18508;
        return r18509;
}

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 2020024 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))