Average Error: 0.0 → 0.0
Time: 2.8s
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 r142347 = x;
        double r142348 = y;
        double r142349 = r142347 - r142348;
        double r142350 = fabs(r142349);
        double r142351 = fabs(r142348);
        double r142352 = r142350 / r142351;
        return r142352;
}
↓
double f(double x, double y) {
        double r142353 = x;
        double r142354 = y;
        double r142355 = r142353 - r142354;
        double r142356 = fabs(r142355);
        double r142357 = fabs(r142354);
        double r142358 = r142356 / r142357;
        return r142358;
}

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 2019346 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))