Average Error: 0.0 → 0.0
Time: 7.7s
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 r4505247 = x;
        double r4505248 = y;
        double r4505249 = r4505247 - r4505248;
        double r4505250 = fabs(r4505249);
        double r4505251 = fabs(r4505248);
        double r4505252 = r4505250 / r4505251;
        return r4505252;
}
↓
double f(double x, double y) {
        double r4505253 = x;
        double r4505254 = y;
        double r4505255 = r4505253 - r4505254;
        double r4505256 = fabs(r4505255);
        double r4505257 = fabs(r4505254);
        double r4505258 = r4505256 / r4505257;
        return r4505258;
}

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 2019164 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))