Average Error: 0 → 0
Time: 1.3s
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 r652772 = a;
        double r652773 = b;
        double r652774 = r652772 - r652773;
        double r652775 = fabs(r652774);
        double r652776 = 2.0;
        double r652777 = r652775 / r652776;
        return r652777;
}
↓
double f(double a, double b) {
        double r652778 = a;
        double r652779 = b;
        double r652780 = r652778 - r652779;
        double r652781 = fabs(r652780);
        double r652782 = 2.0;
        double r652783 = r652781 / r652782;
        return r652783;
}

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 2019169 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2.0))