Average Error: 0.0 → 0.0
Time: 10.8s
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 r2031833 = x;
        double r2031834 = y;
        double r2031835 = r2031833 - r2031834;
        double r2031836 = fabs(r2031835);
        double r2031837 = fabs(r2031834);
        double r2031838 = r2031836 / r2031837;
        return r2031838;
}
↓
double f(double x, double y) {
        double r2031839 = x;
        double r2031840 = y;
        double r2031841 = r2031839 - r2031840;
        double r2031842 = fabs(r2031841);
        double r2031843 = fabs(r2031840);
        double r2031844 = r2031842 / r2031843;
        return r2031844;
}

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 2019156 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))