Average Error: 0.0 → 0.0
Time: 1.1s
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 r157559 = x;
        double r157560 = y;
        double r157561 = r157559 - r157560;
        double r157562 = fabs(r157561);
        double r157563 = fabs(r157560);
        double r157564 = r157562 / r157563;
        return r157564;
}
↓
double f(double x, double y) {
        double r157565 = x;
        double r157566 = y;
        double r157567 = r157565 - r157566;
        double r157568 = fabs(r157567);
        double r157569 = fabs(r157566);
        double r157570 = r157568 / r157569;
        return r157570;
}

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 2020081 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))