Average Error: 0 → 0
Time: 357.0ms
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 r17079 = a;
        double r17080 = b;
        double r17081 = r17079 - r17080;
        double r17082 = fabs(r17081);
        double r17083 = 2.0;
        double r17084 = r17082 / r17083;
        return r17084;
}
↓
double f(double a, double b) {
        double r17085 = a;
        double r17086 = b;
        double r17087 = r17085 - r17086;
        double r17088 = fabs(r17087);
        double r17089 = 2.0;
        double r17090 = r17088 / r17089;
        return r17090;
}

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 2020046 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))