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 r166992 = x;
        double r166993 = y;
        double r166994 = r166992 - r166993;
        double r166995 = fabs(r166994);
        double r166996 = fabs(r166993);
        double r166997 = r166995 / r166996;
        return r166997;
}
↓
double f(double x, double y) {
        double r166998 = x;
        double r166999 = y;
        double r167000 = r166998 - r166999;
        double r167001 = fabs(r167000);
        double r167002 = fabs(r166999);
        double r167003 = r167001 / r167002;
        return r167003;
}

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 2020062 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))