Average Error: 0.0 → 0.0
Time: 1.4s
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 r106751 = x;
        double r106752 = y;
        double r106753 = r106751 - r106752;
        double r106754 = fabs(r106753);
        double r106755 = fabs(r106752);
        double r106756 = r106754 / r106755;
        return r106756;
}
↓
double f(double x, double y) {
        double r106757 = x;
        double r106758 = y;
        double r106759 = r106757 - r106758;
        double r106760 = fabs(r106759);
        double r106761 = fabs(r106758);
        double r106762 = r106760 / r106761;
        return r106762;
}

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 2020039 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))