Average Error: 0.0 → 0.0
Time: 13.0s
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 r104446 = x;
        double r104447 = y;
        double r104448 = r104446 - r104447;
        double r104449 = fabs(r104448);
        double r104450 = fabs(r104447);
        double r104451 = r104449 / r104450;
        return r104451;
}
↓
double f(double x, double y) {
        double r104452 = x;
        double r104453 = y;
        double r104454 = r104452 - r104453;
        double r104455 = fabs(r104454);
        double r104456 = fabs(r104453);
        double r104457 = r104455 / r104456;
        return r104457;
}

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 2019326 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))