Average Error: 0.0 → 0.0
Time: 2.3s
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 r100421 = x;
        double r100422 = y;
        double r100423 = r100421 - r100422;
        double r100424 = fabs(r100423);
        double r100425 = fabs(r100422);
        double r100426 = r100424 / r100425;
        return r100426;
}
↓
double f(double x, double y) {
        double r100427 = x;
        double r100428 = y;
        double r100429 = r100427 - r100428;
        double r100430 = fabs(r100429);
        double r100431 = fabs(r100428);
        double r100432 = r100430 / r100431;
        return r100432;
}

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 2020001 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))