Average Error: 0.0 → 0.0
Time: 11.4s
Precision: 64
\[\frac{x - y}{1 - y}\]
↓
\[\frac{x}{1 - y} - \frac{y}{1 - y}\]
\frac{x - y}{1 - y}
↓
\frac{x}{1 - y} - \frac{y}{1 - y}
double f(double x, double y) {
        double r156833 = x;
        double r156834 = y;
        double r156835 = r156833 - r156834;
        double r156836 = 1.0;
        double r156837 = r156836 - r156834;
        double r156838 = r156835 / r156837;
        return r156838;
}
↓
double f(double x, double y) {
        double r156839 = x;
        double r156840 = 1.0;
        double r156841 = y;
        double r156842 = r156840 - r156841;
        double r156843 = r156839 / r156842;
        double r156844 = r156841 / r156842;
        double r156845 = r156843 - r156844;
        return r156845;
}

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

    \[\frac{x - y}{1 - y}\]
  2. Using strategy rm

  3. Applied div-sub0.0

    \[\leadsto \color{blue}{\frac{x}{1 - y} - \frac{y}{1 - y}}\]

  4. Final simplification0.0

    \[\leadsto \frac{x}{1 - y} - \frac{y}{1 - y}\]

Reproduce

herbie shell --seed 2019306 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))