Average Error: 0 → 0
Time: 979.0ms
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 r284676 = a;
        double r284677 = b;
        double r284678 = r284676 - r284677;
        double r284679 = fabs(r284678);
        double r284680 = 2.0;
        double r284681 = r284679 / r284680;
        return r284681;
}
↓
double f(double a, double b) {
        double r284682 = a;
        double r284683 = b;
        double r284684 = r284682 - r284683;
        double r284685 = fabs(r284684);
        double r284686 = 2.0;
        double r284687 = r284685 / r284686;
        return r284687;
}

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 2019192 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2.0))