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 r249504 = a;
        double r249505 = b;
        double r249506 = r249504 - r249505;
        double r249507 = fabs(r249506);
        double r249508 = 2.0;
        double r249509 = r249507 / r249508;
        return r249509;
}
↓
double f(double a, double b) {
        double r249510 = a;
        double r249511 = b;
        double r249512 = r249510 - r249511;
        double r249513 = fabs(r249512);
        double r249514 = 2.0;
        double r249515 = r249513 / r249514;
        return r249515;
}

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 2019165 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2))