Average Error: 0.0 → 0.0
Time: 6.8s
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 r4184212 = x;
        double r4184213 = y;
        double r4184214 = r4184212 - r4184213;
        double r4184215 = fabs(r4184214);
        double r4184216 = fabs(r4184213);
        double r4184217 = r4184215 / r4184216;
        return r4184217;
}
↓
double f(double x, double y) {
        double r4184218 = x;
        double r4184219 = y;
        double r4184220 = r4184218 - r4184219;
        double r4184221 = fabs(r4184220);
        double r4184222 = fabs(r4184219);
        double r4184223 = r4184221 / r4184222;
        return r4184223;
}

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 2019163 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))