Average Error: 0.0 → 0.0
Time: 15.8s
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 r4024428 = x;
        double r4024429 = y;
        double r4024430 = r4024428 - r4024429;
        double r4024431 = fabs(r4024430);
        double r4024432 = fabs(r4024429);
        double r4024433 = r4024431 / r4024432;
        return r4024433;
}
↓
double f(double x, double y) {
        double r4024434 = x;
        double r4024435 = y;
        double r4024436 = r4024434 - r4024435;
        double r4024437 = fabs(r4024436);
        double r4024438 = fabs(r4024435);
        double r4024439 = r4024437 / r4024438;
        return r4024439;
}

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 2019169 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))