Average Error: 0.0 → 0.0
Time: 16.0s
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 r104376 = x;
        double r104377 = y;
        double r104378 = r104376 - r104377;
        double r104379 = fabs(r104378);
        double r104380 = fabs(r104377);
        double r104381 = r104379 / r104380;
        return r104381;
}
↓
double f(double x, double y) {
        double r104382 = x;
        double r104383 = y;
        double r104384 = r104382 - r104383;
        double r104385 = fabs(r104384);
        double r104386 = fabs(r104383);
        double r104387 = r104385 / r104386;
        return r104387;
}

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 2019306 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))