Average Error: 0.0 → 0.0
Time: 30.1s
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 r6139908 = x;
        double r6139909 = y;
        double r6139910 = r6139908 - r6139909;
        double r6139911 = fabs(r6139910);
        double r6139912 = fabs(r6139909);
        double r6139913 = r6139911 / r6139912;
        return r6139913;
}
↓
double f(double x, double y) {
        double r6139914 = x;
        double r6139915 = y;
        double r6139916 = r6139914 - r6139915;
        double r6139917 = fabs(r6139916);
        double r6139918 = fabs(r6139915);
        double r6139919 = r6139917 / r6139918;
        return r6139919;
}

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 2019170 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))