Average Error: 0 → 0
Time: 982.0ms
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 r205491 = a;
        double r205492 = b;
        double r205493 = r205491 - r205492;
        double r205494 = fabs(r205493);
        double r205495 = 2.0;
        double r205496 = r205494 / r205495;
        return r205496;
}
↓
double f(double a, double b) {
        double r205497 = a;
        double r205498 = b;
        double r205499 = r205497 - r205498;
        double r205500 = fabs(r205499);
        double r205501 = 2.0;
        double r205502 = r205500 / r205501;
        return r205502;
}

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 2019119 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2))