Average Error: 0.0 → 0.0
Time: 1.0m
Precision: 64
\[\frac{\left|x - y\right|}{\left|y\right|}\]
↓
\[\frac{\left|x - y\right|}{\left|y\right|}\]
\frac{\left|x - y\right|}{\left|y\right|}
↓
\frac{\left|x - y\right|}{\left|y\right|}
double f(double x, double y) {
        double r5239747 = x;
        double r5239748 = y;
        double r5239749 = r5239747 - r5239748;
        double r5239750 = fabs(r5239749);
        double r5239751 = fabs(r5239748);
        double r5239752 = r5239750 / r5239751;
        return r5239752;
}
↓
double f(double x, double y) {
        double r5239753 = x;
        double r5239754 = y;
        double r5239755 = r5239753 - r5239754;
        double r5239756 = fabs(r5239755);
        double r5239757 = fabs(r5239754);
        double r5239758 = r5239756 / r5239757;
        return r5239758;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\frac{\left|x - y\right|}{\left|y\right|}\]

  2. Final simplification0.0

    \[\leadsto \frac{\left|x - y\right|}{\left|y\right|}\]

Reproduce

herbie shell --seed 2019200 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))