Average Error: 0.0 → 0.0
Time: 4.1s
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 r119376 = x;
        double r119377 = y;
        double r119378 = r119376 - r119377;
        double r119379 = 1.0;
        double r119380 = r119379 - r119377;
        double r119381 = r119378 / r119380;
        return r119381;
}
↓
double f(double x, double y) {
        double r119382 = x;
        double r119383 = 1.0;
        double r119384 = y;
        double r119385 = r119383 - r119384;
        double r119386 = r119382 / r119385;
        double r119387 = r119384 / r119385;
        double r119388 = r119386 - r119387;
        return r119388;
}

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 2019322 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))