Average Error: 0 → 0
Time: 362.0ms
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 r17743 = a;
        double r17744 = b;
        double r17745 = r17743 - r17744;
        double r17746 = fabs(r17745);
        double r17747 = 2.0;
        double r17748 = r17746 / r17747;
        return r17748;
}
↓
double f(double a, double b) {
        double r17749 = a;
        double r17750 = b;
        double r17751 = r17749 - r17750;
        double r17752 = fabs(r17751);
        double r17753 = 2.0;
        double r17754 = r17752 / r17753;
        return r17754;
}

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 2020047 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))