Average Error: 0.0 → 0.0
Time: 22.8s
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 r92916 = x;
        double r92917 = y;
        double r92918 = r92916 - r92917;
        double r92919 = fabs(r92918);
        double r92920 = fabs(r92917);
        double r92921 = r92919 / r92920;
        return r92921;
}
↓
double f(double x, double y) {
        double r92922 = x;
        double r92923 = y;
        double r92924 = r92922 - r92923;
        double r92925 = fabs(r92924);
        double r92926 = fabs(r92923);
        double r92927 = r92925 / r92926;
        return r92927;
}

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 2019325 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))