Average Error: 0 → 0
Time: 914.0ms
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 r111554 = a;
        double r111555 = b;
        double r111556 = r111554 - r111555;
        double r111557 = fabs(r111556);
        double r111558 = 2.0;
        double r111559 = r111557 / r111558;
        return r111559;
}
↓
double f(double a, double b) {
        double r111560 = a;
        double r111561 = b;
        double r111562 = r111560 - r111561;
        double r111563 = fabs(r111562);
        double r111564 = 2.0;
        double r111565 = r111563 / r111564;
        return r111565;
}

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 2019112 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2))