Average Error: 0.0 → 0.0
Time: 10.1s
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 r4803862 = x;
        double r4803863 = y;
        double r4803864 = r4803862 - r4803863;
        double r4803865 = fabs(r4803864);
        double r4803866 = fabs(r4803863);
        double r4803867 = r4803865 / r4803866;
        return r4803867;
}
↓
double f(double x, double y) {
        double r4803868 = x;
        double r4803869 = y;
        double r4803870 = r4803868 - r4803869;
        double r4803871 = fabs(r4803870);
        double r4803872 = fabs(r4803869);
        double r4803873 = r4803871 / r4803872;
        return r4803873;
}

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 2019162 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))