Average Error: 0 → 0
Time: 478.0ms
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 r17585 = a;
        double r17586 = b;
        double r17587 = r17585 - r17586;
        double r17588 = fabs(r17587);
        double r17589 = 2.0;
        double r17590 = r17588 / r17589;
        return r17590;
}
↓
double f(double a, double b) {
        double r17591 = a;
        double r17592 = b;
        double r17593 = r17591 - r17592;
        double r17594 = fabs(r17593);
        double r17595 = 2.0;
        double r17596 = r17594 / r17595;
        return r17596;
}

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 2020081 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))