Average Error: 0.0 → 0.0
Time: 14.7s
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 r75772 = x;
        double r75773 = y;
        double r75774 = r75772 - r75773;
        double r75775 = fabs(r75774);
        double r75776 = fabs(r75773);
        double r75777 = r75775 / r75776;
        return r75777;
}
↓
double f(double x, double y) {
        double r75778 = x;
        double r75779 = y;
        double r75780 = r75778 - r75779;
        double r75781 = fabs(r75780);
        double r75782 = fabs(r75779);
        double r75783 = r75781 / r75782;
        return r75783;
}

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 2019323 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))