Average Error: 0.0 → 0.0
Time: 11.8s
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 r155557 = x;
        double r155558 = y;
        double r155559 = r155557 - r155558;
        double r155560 = fabs(r155559);
        double r155561 = fabs(r155558);
        double r155562 = r155560 / r155561;
        return r155562;
}

double f(double x, double y) {
        double r155563 = x;
        double r155564 = y;
        double r155565 = r155563 - r155564;
        double r155566 = fabs(r155565);
        double r155567 = fabs(r155564);
        double r155568 = r155566 / r155567;
        return r155568;
}

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 2020042 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))