Average Error: 0.0 → 0.0
Time: 9.6s
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 r2639252 = x;
        double r2639253 = y;
        double r2639254 = r2639252 - r2639253;
        double r2639255 = fabs(r2639254);
        double r2639256 = fabs(r2639253);
        double r2639257 = r2639255 / r2639256;
        return r2639257;
}
↓
double f(double x, double y) {
        double r2639258 = x;
        double r2639259 = y;
        double r2639260 = r2639258 - r2639259;
        double r2639261 = fabs(r2639260);
        double r2639262 = fabs(r2639259);
        double r2639263 = r2639261 / r2639262;
        return r2639263;
}

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 2019172 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))