Average Error: 0.0 → 0.0
Time: 9.5s
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 r239534 = x;
        double r239535 = y;
        double r239536 = r239534 - r239535;
        double r239537 = 1.0;
        double r239538 = r239537 - r239535;
        double r239539 = r239536 / r239538;
        return r239539;
}
↓
double f(double x, double y) {
        double r239540 = x;
        double r239541 = 1.0;
        double r239542 = y;
        double r239543 = r239541 - r239542;
        double r239544 = r239540 / r239543;
        double r239545 = r239542 / r239543;
        double r239546 = r239544 - r239545;
        return r239546;
}

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