Average Error: 0 → 0
Time: 1.3s
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 r11000 = a;
        double r11001 = b;
        double r11002 = r11000 - r11001;
        double r11003 = fabs(r11002);
        double r11004 = 2.0;
        double r11005 = r11003 / r11004;
        return r11005;
}
↓
double f(double a, double b) {
        double r11006 = a;
        double r11007 = b;
        double r11008 = r11006 - r11007;
        double r11009 = fabs(r11008);
        double r11010 = 2.0;
        double r11011 = r11009 / r11010;
        return r11011;
}

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))