Average Error: 0 → 0
Time: 430.0ms
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 r17546 = a;
        double r17547 = b;
        double r17548 = r17546 - r17547;
        double r17549 = fabs(r17548);
        double r17550 = 2.0;
        double r17551 = r17549 / r17550;
        return r17551;
}
↓
double f(double a, double b) {
        double r17552 = a;
        double r17553 = b;
        double r17554 = r17552 - r17553;
        double r17555 = fabs(r17554);
        double r17556 = 2.0;
        double r17557 = r17555 / r17556;
        return r17557;
}

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 2019352 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))