Average Error: 0.0 → 0.0
Time: 827.0ms
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 r123235 = x;
        double r123236 = y;
        double r123237 = r123235 - r123236;
        double r123238 = fabs(r123237);
        double r123239 = fabs(r123236);
        double r123240 = r123238 / r123239;
        return r123240;
}
↓
double f(double x, double y) {
        double r123241 = x;
        double r123242 = y;
        double r123243 = r123241 - r123242;
        double r123244 = fabs(r123243);
        double r123245 = fabs(r123242);
        double r123246 = r123244 / r123245;
        return r123246;
}

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