Average Error: 0.0 → 0.0
Time: 1.4s
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 r142180 = x;
        double r142181 = y;
        double r142182 = r142180 - r142181;
        double r142183 = fabs(r142182);
        double r142184 = fabs(r142181);
        double r142185 = r142183 / r142184;
        return r142185;
}
↓
double f(double x, double y) {
        double r142186 = x;
        double r142187 = y;
        double r142188 = r142186 - r142187;
        double r142189 = fabs(r142188);
        double r142190 = fabs(r142187);
        double r142191 = r142189 / r142190;
        return r142191;
}

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 2019354 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))