Average Error: 0.0 → 0.0
Time: 994.0ms
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 r121273 = x;
        double r121274 = y;
        double r121275 = r121273 - r121274;
        double r121276 = fabs(r121275);
        double r121277 = fabs(r121274);
        double r121278 = r121276 / r121277;
        return r121278;
}
↓
double f(double x, double y) {
        double r121279 = x;
        double r121280 = y;
        double r121281 = r121279 - r121280;
        double r121282 = fabs(r121281);
        double r121283 = fabs(r121280);
        double r121284 = r121282 / r121283;
        return r121284;
}

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 2020046 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))