Average Error: 0.0 → 0.0
Time: 16.6s
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 r67131 = x;
        double r67132 = y;
        double r67133 = r67131 - r67132;
        double r67134 = fabs(r67133);
        double r67135 = fabs(r67132);
        double r67136 = r67134 / r67135;
        return r67136;
}
↓
double f(double x, double y) {
        double r67137 = x;
        double r67138 = y;
        double r67139 = r67137 - r67138;
        double r67140 = fabs(r67139);
        double r67141 = fabs(r67138);
        double r67142 = r67140 / r67141;
        return r67142;
}

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 2019303 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))