Average Error: 0.0 → 0.0
Time: 9.4s
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 r100063 = x;
        double r100064 = y;
        double r100065 = r100063 - r100064;
        double r100066 = fabs(r100065);
        double r100067 = fabs(r100064);
        double r100068 = r100066 / r100067;
        return r100068;
}
↓
double f(double x, double y) {
        double r100069 = x;
        double r100070 = y;
        double r100071 = r100069 - r100070;
        double r100072 = fabs(r100071);
        double r100073 = fabs(r100070);
        double r100074 = r100072 / r100073;
        return r100074;
}

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 2019194 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))