Average Error: 0.0 → 0.0
Time: 1.3s
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 r106856 = x;
        double r106857 = y;
        double r106858 = r106856 - r106857;
        double r106859 = fabs(r106858);
        double r106860 = fabs(r106857);
        double r106861 = r106859 / r106860;
        return r106861;
}
↓
double f(double x, double y) {
        double r106862 = x;
        double r106863 = y;
        double r106864 = r106862 - r106863;
        double r106865 = fabs(r106864);
        double r106866 = fabs(r106863);
        double r106867 = r106865 / r106866;
        return r106867;
}

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 2020083 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))