Average Error: 0.0 → 0.0
Time: 2.1s
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 r152207 = x;
        double r152208 = y;
        double r152209 = r152207 - r152208;
        double r152210 = fabs(r152209);
        double r152211 = fabs(r152208);
        double r152212 = r152210 / r152211;
        return r152212;
}
↓
double f(double x, double y) {
        double r152213 = x;
        double r152214 = y;
        double r152215 = r152213 - r152214;
        double r152216 = fabs(r152215);
        double r152217 = fabs(r152214);
        double r152218 = r152216 / r152217;
        return r152218;
}

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 2020035 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))