Average Error: 0.0 → 0.0
Time: 5.0s
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 r4430815 = x;
        double r4430816 = y;
        double r4430817 = r4430815 - r4430816;
        double r4430818 = fabs(r4430817);
        double r4430819 = fabs(r4430816);
        double r4430820 = r4430818 / r4430819;
        return r4430820;
}
↓
double f(double x, double y) {
        double r4430821 = x;
        double r4430822 = y;
        double r4430823 = r4430821 - r4430822;
        double r4430824 = fabs(r4430823);
        double r4430825 = fabs(r4430822);
        double r4430826 = r4430824 / r4430825;
        return r4430826;
}

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 2019171 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))