Average Error: 0.0 → 0.0
Time: 2.3s
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 r116958 = x;
        double r116959 = y;
        double r116960 = r116958 - r116959;
        double r116961 = fabs(r116960);
        double r116962 = fabs(r116959);
        double r116963 = r116961 / r116962;
        return r116963;
}
↓
double f(double x, double y) {
        double r116964 = x;
        double r116965 = y;
        double r116966 = r116964 - r116965;
        double r116967 = fabs(r116966);
        double r116968 = fabs(r116965);
        double r116969 = r116967 / r116968;
        return r116969;
}

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 2019353 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))