Average Error: 0.0 → 0.0
Time: 11.5s
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 r2644827 = x;
        double r2644828 = y;
        double r2644829 = r2644827 - r2644828;
        double r2644830 = fabs(r2644829);
        double r2644831 = fabs(r2644828);
        double r2644832 = r2644830 / r2644831;
        return r2644832;
}
↓
double f(double x, double y) {
        double r2644833 = x;
        double r2644834 = y;
        double r2644835 = r2644833 - r2644834;
        double r2644836 = fabs(r2644835);
        double r2644837 = fabs(r2644834);
        double r2644838 = r2644836 / r2644837;
        return r2644838;
}

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 2019156 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))