Average Error: 0.0 → 0.0
Time: 8.9s
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 r82285 = x;
        double r82286 = y;
        double r82287 = r82285 - r82286;
        double r82288 = fabs(r82287);
        double r82289 = fabs(r82286);
        double r82290 = r82288 / r82289;
        return r82290;
}
↓
double f(double x, double y) {
        double r82291 = x;
        double r82292 = y;
        double r82293 = r82291 - r82292;
        double r82294 = fabs(r82293);
        double r82295 = fabs(r82292);
        double r82296 = r82294 / r82295;
        return r82296;
}

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 2019194 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))