Average Error: 0.0 → 0.0
Time: 11.9s
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 r198217 = x;
        double r198218 = y;
        double r198219 = r198217 - r198218;
        double r198220 = fabs(r198219);
        double r198221 = fabs(r198218);
        double r198222 = r198220 / r198221;
        return r198222;
}
↓
double f(double x, double y) {
        double r198223 = x;
        double r198224 = y;
        double r198225 = r198223 - r198224;
        double r198226 = fabs(r198225);
        double r198227 = fabs(r198224);
        double r198228 = r198226 / r198227;
        return r198228;
}

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 2019326 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))