Average Error: 0.0 → 0.0
Time: 5.3s
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 r5708681 = x;
        double r5708682 = y;
        double r5708683 = r5708681 - r5708682;
        double r5708684 = fabs(r5708683);
        double r5708685 = fabs(r5708682);
        double r5708686 = r5708684 / r5708685;
        return r5708686;
}
↓
double f(double x, double y) {
        double r5708687 = x;
        double r5708688 = y;
        double r5708689 = r5708687 - r5708688;
        double r5708690 = fabs(r5708689);
        double r5708691 = fabs(r5708688);
        double r5708692 = r5708690 / r5708691;
        return r5708692;
}

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 2019172 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))