Average Error: 0.0 → 0.0
Time: 832.0ms
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 r118274 = x;
        double r118275 = y;
        double r118276 = r118274 - r118275;
        double r118277 = fabs(r118276);
        double r118278 = fabs(r118275);
        double r118279 = r118277 / r118278;
        return r118279;
}
↓
double f(double x, double y) {
        double r118280 = x;
        double r118281 = y;
        double r118282 = r118280 - r118281;
        double r118283 = fabs(r118282);
        double r118284 = fabs(r118281);
        double r118285 = r118283 / r118284;
        return r118285;
}

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 2020018 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))