Average Error: 0 → 0
Time: 534.0ms
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 r17067 = a;
        double r17068 = b;
        double r17069 = r17067 - r17068;
        double r17070 = fabs(r17069);
        double r17071 = 2.0;
        double r17072 = r17070 / r17071;
        return r17072;
}
↓
double f(double a, double b) {
        double r17073 = a;
        double r17074 = b;
        double r17075 = r17073 - r17074;
        double r17076 = fabs(r17075);
        double r17077 = 2.0;
        double r17078 = r17076 / r17077;
        return r17078;
}

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 2020035 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))