Average Error: 0 → 0
Time: 375.0ms
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 r17645 = a;
        double r17646 = b;
        double r17647 = r17645 - r17646;
        double r17648 = fabs(r17647);
        double r17649 = 2.0;
        double r17650 = r17648 / r17649;
        return r17650;
}
↓
double f(double a, double b) {
        double r17651 = a;
        double r17652 = b;
        double r17653 = r17651 - r17652;
        double r17654 = fabs(r17653);
        double r17655 = 2.0;
        double r17656 = r17654 / r17655;
        return r17656;
}

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 2020047 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))