Average Error: 0.0 → 0.0
Time: 884.0ms
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 r147463 = x;
        double r147464 = y;
        double r147465 = r147463 - r147464;
        double r147466 = 1.0;
        double r147467 = r147466 - r147464;
        double r147468 = r147465 / r147467;
        return r147468;
}
↓
double f(double x, double y) {
        double r147469 = x;
        double r147470 = 1.0;
        double r147471 = y;
        double r147472 = r147470 - r147471;
        double r147473 = r147469 / r147472;
        double r147474 = r147471 / r147472;
        double r147475 = r147473 - r147474;
        return r147475;
}

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 2020034 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))