Average Error: 0.0 → 0.0
Time: 1.8s
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 r109796 = x;
        double r109797 = y;
        double r109798 = r109796 - r109797;
        double r109799 = fabs(r109798);
        double r109800 = fabs(r109797);
        double r109801 = r109799 / r109800;
        return r109801;
}
↓
double f(double x, double y) {
        double r109802 = x;
        double r109803 = y;
        double r109804 = r109802 - r109803;
        double r109805 = fabs(r109804);
        double r109806 = fabs(r109803);
        double r109807 = r109805 / r109806;
        return r109807;
}

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 2020036 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))