Average Error: 0.0 → 0.0
Time: 2.2s
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 r130866 = x;
        double r130867 = y;
        double r130868 = r130866 - r130867;
        double r130869 = fabs(r130868);
        double r130870 = fabs(r130867);
        double r130871 = r130869 / r130870;
        return r130871;
}
↓
double f(double x, double y) {
        double r130872 = x;
        double r130873 = y;
        double r130874 = r130872 - r130873;
        double r130875 = fabs(r130874);
        double r130876 = fabs(r130873);
        double r130877 = r130875 / r130876;
        return r130877;
}

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 2020035 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))