Average Error: 0.0 → 0.0
Time: 8.3s
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 r4561017 = x;
        double r4561018 = y;
        double r4561019 = r4561017 - r4561018;
        double r4561020 = fabs(r4561019);
        double r4561021 = fabs(r4561018);
        double r4561022 = r4561020 / r4561021;
        return r4561022;
}
↓
double f(double x, double y) {
        double r4561023 = x;
        double r4561024 = y;
        double r4561025 = r4561023 - r4561024;
        double r4561026 = fabs(r4561025);
        double r4561027 = fabs(r4561024);
        double r4561028 = r4561026 / r4561027;
        return r4561028;
}

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 2019172 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))