Average Error: 0.0 → 0.0
Time: 27.9s
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 r2189992 = x;
        double r2189993 = y;
        double r2189994 = r2189992 - r2189993;
        double r2189995 = fabs(r2189994);
        double r2189996 = fabs(r2189993);
        double r2189997 = r2189995 / r2189996;
        return r2189997;
}
↓
double f(double x, double y) {
        double r2189998 = x;
        double r2189999 = y;
        double r2190000 = r2189998 - r2189999;
        double r2190001 = fabs(r2190000);
        double r2190002 = fabs(r2189999);
        double r2190003 = r2190001 / r2190002;
        return r2190003;
}

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 2019165 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))