Average Error: 0.0 → 0.0
Time: 13.3s
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 r17887 = x;
        double r17888 = y;
        double r17889 = r17887 - r17888;
        double r17890 = fabs(r17889);
        double r17891 = fabs(r17888);
        double r17892 = r17890 / r17891;
        return r17892;
}
↓
double f(double x, double y) {
        double r17893 = x;
        double r17894 = y;
        double r17895 = r17893 - r17894;
        double r17896 = fabs(r17895);
        double r17897 = fabs(r17894);
        double r17898 = r17896 / r17897;
        return r17898;
}

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 2019315 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))