Average Error: 0 → 0
Time: 1.4s
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 r245546 = a;
        double r245547 = b;
        double r245548 = r245546 - r245547;
        double r245549 = fabs(r245548);
        double r245550 = 2.0;
        double r245551 = r245549 / r245550;
        return r245551;
}
↓
double f(double a, double b) {
        double r245552 = a;
        double r245553 = b;
        double r245554 = r245552 - r245553;
        double r245555 = fabs(r245554);
        double r245556 = 2.0;
        double r245557 = r245555 / r245556;
        return r245557;
}

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 2019156 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2))