Average Error: 0 → 0
Time: 823.0ms
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 r27033 = a;
        double r27034 = b;
        double r27035 = r27033 - r27034;
        double r27036 = fabs(r27035);
        double r27037 = 2.0;
        double r27038 = r27036 / r27037;
        return r27038;
}
↓
double f(double a, double b) {
        double r27039 = a;
        double r27040 = b;
        double r27041 = r27039 - r27040;
        double r27042 = fabs(r27041);
        double r27043 = 2.0;
        double r27044 = r27042 / r27043;
        return r27044;
}

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 2019209 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))