Average Error: 0.0 → 0.0
Time: 17.6s
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 r13570 = x;
        double r13571 = y;
        double r13572 = r13570 - r13571;
        double r13573 = fabs(r13572);
        double r13574 = fabs(r13571);
        double r13575 = r13573 / r13574;
        return r13575;
}
↓
double f(double x, double y) {
        double r13576 = x;
        double r13577 = y;
        double r13578 = r13576 - r13577;
        double r13579 = fabs(r13578);
        double r13580 = fabs(r13577);
        double r13581 = r13579 / r13580;
        return r13581;
}

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 2019310 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))