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 r101834 = a;
        double r101835 = b;
        double r101836 = r101834 - r101835;
        double r101837 = fabs(r101836);
        double r101838 = 2.0;
        double r101839 = r101837 / r101838;
        return r101839;
}
↓
double f(double a, double b) {
        double r101840 = a;
        double r101841 = b;
        double r101842 = r101840 - r101841;
        double r101843 = fabs(r101842);
        double r101844 = 2.0;
        double r101845 = r101843 / r101844;
        return r101845;
}

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 
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2))