Average Error: 0.0 → 0.0
Time: 42.4s
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 r5313007 = x;
        double r5313008 = y;
        double r5313009 = r5313007 - r5313008;
        double r5313010 = fabs(r5313009);
        double r5313011 = fabs(r5313008);
        double r5313012 = r5313010 / r5313011;
        return r5313012;
}
↓
double f(double x, double y) {
        double r5313013 = x;
        double r5313014 = y;
        double r5313015 = r5313013 - r5313014;
        double r5313016 = fabs(r5313015);
        double r5313017 = fabs(r5313014);
        double r5313018 = r5313016 / r5313017;
        return r5313018;
}

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 2019200 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))