Average Error: 0 → 0
Time: 347.0ms
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 r17875 = a;
        double r17876 = b;
        double r17877 = r17875 - r17876;
        double r17878 = fabs(r17877);
        double r17879 = 2.0;
        double r17880 = r17878 / r17879;
        return r17880;
}
↓
double f(double a, double b) {
        double r17881 = a;
        double r17882 = b;
        double r17883 = r17881 - r17882;
        double r17884 = fabs(r17883);
        double r17885 = 2.0;
        double r17886 = r17884 / r17885;
        return r17886;
}

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 2020043 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))