Average Error: 0.0 → 0.0
Time: 5.5s
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 r103903 = x;
        double r103904 = y;
        double r103905 = r103903 - r103904;
        double r103906 = fabs(r103905);
        double r103907 = fabs(r103904);
        double r103908 = r103906 / r103907;
        return r103908;
}
↓
double f(double x, double y) {
        double r103909 = x;
        double r103910 = y;
        double r103911 = r103909 - r103910;
        double r103912 = fabs(r103911);
        double r103913 = fabs(r103910);
        double r103914 = r103912 / r103913;
        return r103914;
}

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 2019347 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))