Average Error: 0 → 0
Time: 1.0s
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 r279783 = a;
        double r279784 = b;
        double r279785 = r279783 - r279784;
        double r279786 = fabs(r279785);
        double r279787 = 2.0;
        double r279788 = r279786 / r279787;
        return r279788;
}
↓
double f(double a, double b) {
        double r279789 = a;
        double r279790 = b;
        double r279791 = r279789 - r279790;
        double r279792 = fabs(r279791);
        double r279793 = 2.0;
        double r279794 = r279792 / r279793;
        return r279794;
}

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 2019151 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2))