Average Error: 0.0 → 0.0
Time: 8.0s
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 r3923540 = x;
        double r3923541 = y;
        double r3923542 = r3923540 - r3923541;
        double r3923543 = fabs(r3923542);
        double r3923544 = fabs(r3923541);
        double r3923545 = r3923543 / r3923544;
        return r3923545;
}
↓
double f(double x, double y) {
        double r3923546 = x;
        double r3923547 = y;
        double r3923548 = r3923546 - r3923547;
        double r3923549 = fabs(r3923548);
        double r3923550 = fabs(r3923547);
        double r3923551 = r3923549 / r3923550;
        return r3923551;
}

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 2019174 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))