Average Error: 0.0 → 0.0
Time: 6.0s
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 r4868502 = x;
        double r4868503 = y;
        double r4868504 = r4868502 - r4868503;
        double r4868505 = fabs(r4868504);
        double r4868506 = fabs(r4868503);
        double r4868507 = r4868505 / r4868506;
        return r4868507;
}
↓
double f(double x, double y) {
        double r4868508 = x;
        double r4868509 = y;
        double r4868510 = r4868508 - r4868509;
        double r4868511 = fabs(r4868510);
        double r4868512 = fabs(r4868509);
        double r4868513 = r4868511 / r4868512;
        return r4868513;
}

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 2019171 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))