Average Error: 0.0 → 0.0
Time: 2.5s
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 r175548 = x;
        double r175549 = y;
        double r175550 = r175548 - r175549;
        double r175551 = fabs(r175550);
        double r175552 = fabs(r175549);
        double r175553 = r175551 / r175552;
        return r175553;
}
↓
double f(double x, double y) {
        double r175554 = x;
        double r175555 = y;
        double r175556 = r175554 - r175555;
        double r175557 = fabs(r175556);
        double r175558 = fabs(r175555);
        double r175559 = r175557 / r175558;
        return r175559;
}

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 2019362 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))