Average Error: 0 → 0
Time: 372.0ms
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 r17583 = a;
        double r17584 = b;
        double r17585 = r17583 - r17584;
        double r17586 = fabs(r17585);
        double r17587 = 2.0;
        double r17588 = r17586 / r17587;
        return r17588;
}
↓
double f(double a, double b) {
        double r17589 = a;
        double r17590 = b;
        double r17591 = r17589 - r17590;
        double r17592 = fabs(r17591);
        double r17593 = 2.0;
        double r17594 = r17592 / r17593;
        return r17594;
}

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 2020060 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))