Average Error: 0 → 0
Time: 745.0ms
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 r28814 = a;
        double r28815 = b;
        double r28816 = r28814 - r28815;
        double r28817 = fabs(r28816);
        double r28818 = 2.0;
        double r28819 = r28817 / r28818;
        return r28819;
}
↓
double f(double a, double b) {
        double r28820 = a;
        double r28821 = b;
        double r28822 = r28820 - r28821;
        double r28823 = fabs(r28822);
        double r28824 = 2.0;
        double r28825 = r28823 / r28824;
        return r28825;
}

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 2019323 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))