Average Error: 0.0 → 0.0
Time: 20.9s
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 r96185 = x;
        double r96186 = y;
        double r96187 = r96185 - r96186;
        double r96188 = fabs(r96187);
        double r96189 = fabs(r96186);
        double r96190 = r96188 / r96189;
        return r96190;
}
↓
double f(double x, double y) {
        double r96191 = x;
        double r96192 = y;
        double r96193 = r96191 - r96192;
        double r96194 = fabs(r96193);
        double r96195 = fabs(r96192);
        double r96196 = r96194 / r96195;
        return r96196;
}

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 2019306 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))