Average Error: 0 → 0
Time: 1.0s
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 r39398 = a;
        double r39399 = b;
        double r39400 = r39398 - r39399;
        double r39401 = fabs(r39400);
        double r39402 = 2.0;
        double r39403 = r39401 / r39402;
        return r39403;
}
↓
double f(double a, double b) {
        double r39404 = a;
        double r39405 = b;
        double r39406 = r39404 - r39405;
        double r39407 = fabs(r39406);
        double r39408 = 2.0;
        double r39409 = r39407 / r39408;
        return r39409;
}

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 2019195 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2.0))