Average Error: 0.0 → 0.0
Time: 9.7s
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 r5848687 = x;
        double r5848688 = y;
        double r5848689 = r5848687 - r5848688;
        double r5848690 = fabs(r5848689);
        double r5848691 = fabs(r5848688);
        double r5848692 = r5848690 / r5848691;
        return r5848692;
}
↓
double f(double x, double y) {
        double r5848693 = x;
        double r5848694 = y;
        double r5848695 = r5848693 - r5848694;
        double r5848696 = fabs(r5848695);
        double r5848697 = fabs(r5848694);
        double r5848698 = r5848696 / r5848697;
        return r5848698;
}

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