Average Error: 0 → 0
Time: 608.0ms
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 r8346 = a;
        double r8347 = b;
        double r8348 = r8346 - r8347;
        double r8349 = fabs(r8348);
        double r8350 = 2.0;
        double r8351 = r8349 / r8350;
        return r8351;
}
↓
double f(double a, double b) {
        double r8352 = a;
        double r8353 = b;
        double r8354 = r8352 - r8353;
        double r8355 = fabs(r8354);
        double r8356 = 2.0;
        double r8357 = r8355 / r8356;
        return r8357;
}

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 2019315 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))