Average Error: 0.0 → 0.0
Time: 24.0s
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 r4693809 = x;
        double r4693810 = y;
        double r4693811 = r4693809 - r4693810;
        double r4693812 = fabs(r4693811);
        double r4693813 = fabs(r4693810);
        double r4693814 = r4693812 / r4693813;
        return r4693814;
}
↓
double f(double x, double y) {
        double r4693815 = x;
        double r4693816 = y;
        double r4693817 = r4693815 - r4693816;
        double r4693818 = fabs(r4693817);
        double r4693819 = fabs(r4693816);
        double r4693820 = r4693818 / r4693819;
        return r4693820;
}

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 2019168 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))