Average Error: 0 → 0
Time: 780.0ms
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 r46895 = a;
        double r46896 = b;
        double r46897 = r46895 - r46896;
        double r46898 = fabs(r46897);
        double r46899 = 2.0;
        double r46900 = r46898 / r46899;
        return r46900;
}
↓
double f(double a, double b) {
        double r46901 = a;
        double r46902 = b;
        double r46903 = r46901 - r46902;
        double r46904 = fabs(r46903);
        double r46905 = 2.0;
        double r46906 = r46904 / r46905;
        return r46906;
}

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