Average Error: 0.0 → 0.0
Time: 10.4s
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 r131898 = x;
        double r131899 = y;
        double r131900 = r131898 - r131899;
        double r131901 = fabs(r131900);
        double r131902 = fabs(r131899);
        double r131903 = r131901 / r131902;
        return r131903;
}
↓
double f(double x, double y) {
        double r131904 = x;
        double r131905 = y;
        double r131906 = r131904 - r131905;
        double r131907 = fabs(r131906);
        double r131908 = fabs(r131905);
        double r131909 = r131907 / r131908;
        return r131909;
}

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 2020047 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))