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 r17397 = a;
        double r17398 = b;
        double r17399 = r17397 - r17398;
        double r17400 = fabs(r17399);
        double r17401 = 2.0;
        double r17402 = r17400 / r17401;
        return r17402;
}
↓
double f(double a, double b) {
        double r17403 = a;
        double r17404 = b;
        double r17405 = r17403 - r17404;
        double r17406 = fabs(r17405);
        double r17407 = 2.0;
        double r17408 = r17406 / r17407;
        return r17408;
}

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 2020049 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))