Average Error: 0.0 → 0.0
Time: 729.0ms
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 r115927 = x;
        double r115928 = y;
        double r115929 = r115927 - r115928;
        double r115930 = fabs(r115929);
        double r115931 = fabs(r115928);
        double r115932 = r115930 / r115931;
        return r115932;
}
↓
double f(double x, double y) {
        double r115933 = x;
        double r115934 = y;
        double r115935 = r115933 - r115934;
        double r115936 = fabs(r115935);
        double r115937 = fabs(r115934);
        double r115938 = r115936 / r115937;
        return r115938;
}

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