Average Error: 0 → 0
Time: 1.1s
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 r509390 = a;
        double r509391 = b;
        double r509392 = r509390 - r509391;
        double r509393 = fabs(r509392);
        double r509394 = 2.0;
        double r509395 = r509393 / r509394;
        return r509395;
}
↓
double f(double a, double b) {
        double r509396 = a;
        double r509397 = b;
        double r509398 = r509396 - r509397;
        double r509399 = fabs(r509398);
        double r509400 = 2.0;
        double r509401 = r509399 / r509400;
        return r509401;
}

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 2019158 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2))