Average Error: 0 → 0
Time: 401.0ms
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 r17884 = a;
        double r17885 = b;
        double r17886 = r17884 - r17885;
        double r17887 = fabs(r17886);
        double r17888 = 2.0;
        double r17889 = r17887 / r17888;
        return r17889;
}
↓
double f(double a, double b) {
        double r17890 = a;
        double r17891 = b;
        double r17892 = r17890 - r17891;
        double r17893 = fabs(r17892);
        double r17894 = 2.0;
        double r17895 = r17893 / r17894;
        return r17895;
}

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))