Average Error: 0.0 → 0.0
Time: 1.0s
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 r114345 = x;
        double r114346 = y;
        double r114347 = r114345 - r114346;
        double r114348 = fabs(r114347);
        double r114349 = fabs(r114346);
        double r114350 = r114348 / r114349;
        return r114350;
}
↓
double f(double x, double y) {
        double r114351 = x;
        double r114352 = y;
        double r114353 = r114351 - r114352;
        double r114354 = fabs(r114353);
        double r114355 = fabs(r114352);
        double r114356 = r114354 / r114355;
        return r114356;
}

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 2020081 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))