Average Error: 0.0 → 0.0
Time: 2.8s
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 r101370 = x;
        double r101371 = y;
        double r101372 = r101370 - r101371;
        double r101373 = fabs(r101372);
        double r101374 = fabs(r101371);
        double r101375 = r101373 / r101374;
        return r101375;
}
↓
double f(double x, double y) {
        double r101376 = x;
        double r101377 = y;
        double r101378 = r101376 - r101377;
        double r101379 = fabs(r101378);
        double r101380 = fabs(r101377);
        double r101381 = r101379 / r101380;
        return r101381;
}

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 2019322 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))