Average Error: 0.0 → 0.0
Time: 5.3s
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 r88009 = x;
        double r88010 = y;
        double r88011 = r88009 - r88010;
        double r88012 = fabs(r88011);
        double r88013 = fabs(r88010);
        double r88014 = r88012 / r88013;
        return r88014;
}
↓
double f(double x, double y) {
        double r88015 = x;
        double r88016 = y;
        double r88017 = r88015 - r88016;
        double r88018 = fabs(r88017);
        double r88019 = fabs(r88016);
        double r88020 = r88018 / r88019;
        return r88020;
}

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 2019298 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))