Average Error: 0 → 0
Time: 808.0ms
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 r11863 = a;
        double r11864 = b;
        double r11865 = r11863 - r11864;
        double r11866 = fabs(r11865);
        double r11867 = 2.0;
        double r11868 = r11866 / r11867;
        return r11868;
}
↓
double f(double a, double b) {
        double r11869 = a;
        double r11870 = b;
        double r11871 = r11869 - r11870;
        double r11872 = fabs(r11871);
        double r11873 = 2.0;
        double r11874 = r11872 / r11873;
        return r11874;
}

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 2019235 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))