Average Error: 0.0 → 0.0
Time: 20.5s
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 r157573 = x;
        double r157574 = y;
        double r157575 = r157573 - r157574;
        double r157576 = fabs(r157575);
        double r157577 = fabs(r157574);
        double r157578 = r157576 / r157577;
        return r157578;
}
↓
double f(double x, double y) {
        double r157579 = x;
        double r157580 = y;
        double r157581 = r157579 - r157580;
        double r157582 = fabs(r157581);
        double r157583 = fabs(r157580);
        double r157584 = r157582 / r157583;
        return r157584;
}

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)))