Average Error: 0.0 → 0.0
Time: 14.9s
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 r123566 = x;
        double r123567 = y;
        double r123568 = r123566 - r123567;
        double r123569 = fabs(r123568);
        double r123570 = fabs(r123567);
        double r123571 = r123569 / r123570;
        return r123571;
}
↓
double f(double x, double y) {
        double r123572 = x;
        double r123573 = y;
        double r123574 = r123572 - r123573;
        double r123575 = fabs(r123574);
        double r123576 = fabs(r123573);
        double r123577 = r123575 / r123576;
        return r123577;
}

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 2020045 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))