Average Error: 0.0 → 0.0
Time: 8.8s
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 r4579933 = x;
        double r4579934 = y;
        double r4579935 = r4579933 - r4579934;
        double r4579936 = fabs(r4579935);
        double r4579937 = fabs(r4579934);
        double r4579938 = r4579936 / r4579937;
        return r4579938;
}
↓
double f(double x, double y) {
        double r4579939 = x;
        double r4579940 = y;
        double r4579941 = r4579939 - r4579940;
        double r4579942 = fabs(r4579941);
        double r4579943 = fabs(r4579940);
        double r4579944 = r4579942 / r4579943;
        return r4579944;
}

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 2019164 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))