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 r99058 = x;
        double r99059 = y;
        double r99060 = r99058 - r99059;
        double r99061 = fabs(r99060);
        double r99062 = fabs(r99059);
        double r99063 = r99061 / r99062;
        return r99063;
}
↓
double f(double x, double y) {
        double r99064 = x;
        double r99065 = y;
        double r99066 = r99064 - r99065;
        double r99067 = fabs(r99066);
        double r99068 = fabs(r99065);
        double r99069 = r99067 / r99068;
        return r99069;
}

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 2020003 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))