Average Error: 0.0 → 0.0
Time: 1.6s
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 r78043 = x;
        double r78044 = y;
        double r78045 = r78043 - r78044;
        double r78046 = fabs(r78045);
        double r78047 = fabs(r78044);
        double r78048 = r78046 / r78047;
        return r78048;
}
↓
double f(double x, double y) {
        double r78049 = x;
        double r78050 = y;
        double r78051 = r78049 - r78050;
        double r78052 = fabs(r78051);
        double r78053 = fabs(r78050);
        double r78054 = r78052 / r78053;
        return r78054;
}

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 2020036 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))