Average Error: 0 → 0
Time: 1.5s
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 r333290 = a;
        double r333291 = b;
        double r333292 = r333290 - r333291;
        double r333293 = fabs(r333292);
        double r333294 = 2.0;
        double r333295 = r333293 / r333294;
        return r333295;
}
↓
double f(double a, double b) {
        double r333296 = a;
        double r333297 = b;
        double r333298 = r333296 - r333297;
        double r333299 = fabs(r333298);
        double r333300 = 2.0;
        double r333301 = r333299 / r333300;
        return r333301;
}

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 2019179 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2.0))