Average Error: 0.0 → 0.0
Time: 1.2s
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 r198411 = x;
        double r198412 = y;
        double r198413 = r198411 - r198412;
        double r198414 = 1.0;
        double r198415 = r198414 - r198412;
        double r198416 = r198413 / r198415;
        return r198416;
}
↓
double f(double x, double y) {
        double r198417 = x;
        double r198418 = 1.0;
        double r198419 = y;
        double r198420 = r198418 - r198419;
        double r198421 = r198417 / r198420;
        double r198422 = r198419 / r198420;
        double r198423 = r198421 - r198422;
        return r198423;
}

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 2019353 
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))