Average Error: 0 → 0
Time: 1.6s
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 r12398 = a;
        double r12399 = b;
        double r12400 = r12398 - r12399;
        double r12401 = fabs(r12400);
        double r12402 = 2.0;
        double r12403 = r12401 / r12402;
        return r12403;
}
↓
double f(double a, double b) {
        double r12404 = a;
        double r12405 = b;
        double r12406 = r12404 - r12405;
        double r12407 = fabs(r12406);
        double r12408 = 2.0;
        double r12409 = r12407 / r12408;
        return r12409;
}

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 2019199 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2.0))