Average Error: 0 → 0
Time: 384.0ms
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 r17889 = a;
        double r17890 = b;
        double r17891 = r17889 - r17890;
        double r17892 = fabs(r17891);
        double r17893 = 2.0;
        double r17894 = r17892 / r17893;
        return r17894;
}
↓
double f(double a, double b) {
        double r17895 = a;
        double r17896 = b;
        double r17897 = r17895 - r17896;
        double r17898 = fabs(r17897);
        double r17899 = 2.0;
        double r17900 = r17898 / r17899;
        return r17900;
}

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 2020001 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))