Average Error: 0.0 → 0.0
Time: 2.4s
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 r108930 = x;
        double r108931 = y;
        double r108932 = r108930 - r108931;
        double r108933 = fabs(r108932);
        double r108934 = fabs(r108931);
        double r108935 = r108933 / r108934;
        return r108935;
}
↓
double f(double x, double y) {
        double r108936 = x;
        double r108937 = y;
        double r108938 = r108936 - r108937;
        double r108939 = fabs(r108938);
        double r108940 = fabs(r108937);
        double r108941 = r108939 / r108940;
        return r108941;
}

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 2020001 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))