Average Error: 0.0 → 0.0
Time: 16.8s
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 r6402179 = x;
        double r6402180 = y;
        double r6402181 = r6402179 - r6402180;
        double r6402182 = fabs(r6402181);
        double r6402183 = fabs(r6402180);
        double r6402184 = r6402182 / r6402183;
        return r6402184;
}
↓
double f(double x, double y) {
        double r6402185 = x;
        double r6402186 = y;
        double r6402187 = r6402185 - r6402186;
        double r6402188 = fabs(r6402187);
        double r6402189 = fabs(r6402186);
        double r6402190 = r6402188 / r6402189;
        return r6402190;
}

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 2019158 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))