Average Error: 0.0 → 0.0
Time: 1.1s
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 r100790 = x;
        double r100791 = y;
        double r100792 = r100790 - r100791;
        double r100793 = fabs(r100792);
        double r100794 = fabs(r100791);
        double r100795 = r100793 / r100794;
        return r100795;
}
↓
double f(double x, double y) {
        double r100796 = x;
        double r100797 = y;
        double r100798 = r100796 - r100797;
        double r100799 = fabs(r100798);
        double r100800 = fabs(r100797);
        double r100801 = r100799 / r100800;
        return r100801;
}

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)))