Average Error: 0.0 → 0.0
Time: 4.5s
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 r404 = x;
        double r405 = y;
        double r406 = r404 - r405;
        double r407 = fabs(r406);
        double r408 = fabs(r405);
        double r409 = r407 / r408;
        return r409;
}
↓
double f(double x, double y) {
        double r410 = x;
        double r411 = y;
        double r412 = r410 - r411;
        double r413 = fabs(r412);
        double r414 = fabs(r411);
        double r415 = r413 / r414;
        return r415;
}

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 2020025 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))