Average Error: 0.0 → 0.0
Time: 3.1s
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 r74073 = x;
        double r74074 = y;
        double r74075 = r74073 - r74074;
        double r74076 = fabs(r74075);
        double r74077 = fabs(r74074);
        double r74078 = r74076 / r74077;
        return r74078;
}
↓
double f(double x, double y) {
        double r74079 = x;
        double r74080 = y;
        double r74081 = r74079 - r74080;
        double r74082 = fabs(r74081);
        double r74083 = fabs(r74080);
        double r74084 = r74082 / r74083;
        return r74084;
}

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 2019304 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))