Average Error: 0.0 → 0.0
Time: 10.7s
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 r5224848 = x;
        double r5224849 = y;
        double r5224850 = r5224848 - r5224849;
        double r5224851 = fabs(r5224850);
        double r5224852 = fabs(r5224849);
        double r5224853 = r5224851 / r5224852;
        return r5224853;
}
↓
double f(double x, double y) {
        double r5224854 = x;
        double r5224855 = y;
        double r5224856 = r5224854 - r5224855;
        double r5224857 = fabs(r5224856);
        double r5224858 = fabs(r5224855);
        double r5224859 = r5224857 / r5224858;
        return r5224859;
}

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)))