Average Error: 0.0 → 0.0
Time: 757.0ms
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 r129863 = x;
        double r129864 = y;
        double r129865 = r129863 - r129864;
        double r129866 = fabs(r129865);
        double r129867 = fabs(r129864);
        double r129868 = r129866 / r129867;
        return r129868;
}
↓
double f(double x, double y) {
        double r129869 = x;
        double r129870 = y;
        double r129871 = r129869 - r129870;
        double r129872 = fabs(r129871);
        double r129873 = fabs(r129870);
        double r129874 = r129872 / r129873;
        return r129874;
}

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 2020034 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))