Average Error: 0.0 → 0.0
Time: 9.3s
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 r108403 = x;
        double r108404 = y;
        double r108405 = r108403 - r108404;
        double r108406 = fabs(r108405);
        double r108407 = fabs(r108404);
        double r108408 = r108406 / r108407;
        return r108408;
}
↓
double f(double x, double y) {
        double r108409 = x;
        double r108410 = y;
        double r108411 = r108409 - r108410;
        double r108412 = fabs(r108411);
        double r108413 = fabs(r108410);
        double r108414 = r108412 / r108413;
        return r108414;
}

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 2020046 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))