Average Error: 0.0 → 0.0
Time: 13.9s
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 r92001 = x;
        double r92002 = y;
        double r92003 = r92001 - r92002;
        double r92004 = fabs(r92003);
        double r92005 = fabs(r92002);
        double r92006 = r92004 / r92005;
        return r92006;
}
↓
double f(double x, double y) {
        double r92007 = x;
        double r92008 = y;
        double r92009 = r92007 - r92008;
        double r92010 = fabs(r92009);
        double r92011 = fabs(r92008);
        double r92012 = r92010 / r92011;
        return r92012;
}

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 2019323 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))