Average Error: 0.0 → 0.0
Time: 22.0s
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 r5095462 = x;
        double r5095463 = y;
        double r5095464 = r5095462 - r5095463;
        double r5095465 = fabs(r5095464);
        double r5095466 = fabs(r5095463);
        double r5095467 = r5095465 / r5095466;
        return r5095467;
}
↓
double f(double x, double y) {
        double r5095468 = x;
        double r5095469 = y;
        double r5095470 = r5095468 - r5095469;
        double r5095471 = fabs(r5095470);
        double r5095472 = fabs(r5095469);
        double r5095473 = r5095471 / r5095472;
        return r5095473;
}

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 2019168 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))