Average Error: 0 → 0
Time: 911.0ms
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 r29724 = a;
        double r29725 = b;
        double r29726 = r29724 - r29725;
        double r29727 = fabs(r29726);
        double r29728 = 2.0;
        double r29729 = r29727 / r29728;
        return r29729;
}
↓
double f(double a, double b) {
        double r29730 = a;
        double r29731 = b;
        double r29732 = r29730 - r29731;
        double r29733 = fabs(r29732);
        double r29734 = 2.0;
        double r29735 = r29733 / r29734;
        return r29735;
}

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 2019304 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))