Average Error: 0.0 → 0.0
Time: 8.1s
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 r4633135 = x;
        double r4633136 = y;
        double r4633137 = r4633135 - r4633136;
        double r4633138 = fabs(r4633137);
        double r4633139 = fabs(r4633136);
        double r4633140 = r4633138 / r4633139;
        return r4633140;
}
↓
double f(double x, double y) {
        double r4633141 = x;
        double r4633142 = y;
        double r4633143 = r4633141 - r4633142;
        double r4633144 = fabs(r4633143);
        double r4633145 = fabs(r4633142);
        double r4633146 = r4633144 / r4633145;
        return r4633146;
}

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 2019172 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))