Average Error: 0.0 → 0.0
Time: 1.1s
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 r119834 = x;
        double r119835 = y;
        double r119836 = r119834 - r119835;
        double r119837 = fabs(r119836);
        double r119838 = fabs(r119835);
        double r119839 = r119837 / r119838;
        return r119839;
}
↓
double f(double x, double y) {
        double r119840 = x;
        double r119841 = y;
        double r119842 = r119840 - r119841;
        double r119843 = fabs(r119842);
        double r119844 = fabs(r119841);
        double r119845 = r119843 / r119844;
        return r119845;
}

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 2020033 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))