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 r172751 = a;
        double r172752 = b;
        double r172753 = r172751 - r172752;
        double r172754 = fabs(r172753);
        double r172755 = 2.0;
        double r172756 = r172754 / r172755;
        return r172756;
}
↓
double f(double a, double b) {
        double r172757 = a;
        double r172758 = b;
        double r172759 = r172757 - r172758;
        double r172760 = fabs(r172759);
        double r172761 = 2.0;
        double r172762 = r172760 / r172761;
        return r172762;
}

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 2019132 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2))