Average Error: 0.0 → 0.0
Time: 2.2s
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 r100316 = x;
        double r100317 = y;
        double r100318 = r100316 - r100317;
        double r100319 = fabs(r100318);
        double r100320 = fabs(r100317);
        double r100321 = r100319 / r100320;
        return r100321;
}
↓
double f(double x, double y) {
        double r100322 = x;
        double r100323 = y;
        double r100324 = r100322 - r100323;
        double r100325 = fabs(r100324);
        double r100326 = fabs(r100323);
        double r100327 = r100325 / r100326;
        return r100327;
}

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 2020001 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))