Average Error: 0.0 → 0.0
Time: 9.3s
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 r168425 = x;
        double r168426 = y;
        double r168427 = r168425 - r168426;
        double r168428 = 1.0;
        double r168429 = r168428 - r168426;
        double r168430 = r168427 / r168429;
        return r168430;
}
↓
double f(double x, double y) {
        double r168431 = x;
        double r168432 = 1.0;
        double r168433 = y;
        double r168434 = r168432 - r168433;
        double r168435 = r168431 / r168434;
        double r168436 = r168433 / r168434;
        double r168437 = r168435 - r168436;
        return r168437;
}

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 2020047 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))