Average Error: 0.0 → 0.0
Time: 17.1s
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 r107842 = x;
        double r107843 = y;
        double r107844 = r107842 - r107843;
        double r107845 = fabs(r107844);
        double r107846 = fabs(r107843);
        double r107847 = r107845 / r107846;
        return r107847;
}
↓
double f(double x, double y) {
        double r107848 = x;
        double r107849 = y;
        double r107850 = r107848 - r107849;
        double r107851 = fabs(r107850);
        double r107852 = fabs(r107849);
        double r107853 = r107851 / r107852;
        return r107853;
}

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 2019209 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))