Average Error: 0 → 0
Time: 343.0ms
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 r18572 = a;
        double r18573 = b;
        double r18574 = r18572 - r18573;
        double r18575 = fabs(r18574);
        double r18576 = 2.0;
        double r18577 = r18575 / r18576;
        return r18577;
}
↓
double f(double a, double b) {
        double r18578 = a;
        double r18579 = b;
        double r18580 = r18578 - r18579;
        double r18581 = fabs(r18580);
        double r18582 = 2.0;
        double r18583 = r18581 / r18582;
        return r18583;
}

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 2020046 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))