Average Error: 0.0 → 0.0
Time: 12.5s
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 r75007 = x;
        double r75008 = y;
        double r75009 = r75007 - r75008;
        double r75010 = fabs(r75009);
        double r75011 = fabs(r75008);
        double r75012 = r75010 / r75011;
        return r75012;
}
↓
double f(double x, double y) {
        double r75013 = x;
        double r75014 = y;
        double r75015 = r75013 - r75014;
        double r75016 = fabs(r75015);
        double r75017 = fabs(r75014);
        double r75018 = r75016 / r75017;
        return r75018;
}

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 2019322 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))