Average Error: 0.0 → 0.0
Time: 9.9s
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 r80462 = x;
        double r80463 = y;
        double r80464 = r80462 - r80463;
        double r80465 = fabs(r80464);
        double r80466 = fabs(r80463);
        double r80467 = r80465 / r80466;
        return r80467;
}
↓
double f(double x, double y) {
        double r80468 = x;
        double r80469 = y;
        double r80470 = r80468 - r80469;
        double r80471 = fabs(r80470);
        double r80472 = fabs(r80469);
        double r80473 = r80471 / r80472;
        return r80473;
}

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 2019303 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))