Average Error: 0.0 → 0.0
Time: 9.7s
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 r107303 = x;
        double r107304 = y;
        double r107305 = r107303 - r107304;
        double r107306 = 1.0;
        double r107307 = r107306 - r107304;
        double r107308 = r107305 / r107307;
        return r107308;
}
↓
double f(double x, double y) {
        double r107309 = x;
        double r107310 = 1.0;
        double r107311 = y;
        double r107312 = r107310 - r107311;
        double r107313 = r107309 / r107312;
        double r107314 = r107311 / r107312;
        double r107315 = r107313 - r107314;
        return r107315;
}

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 2019323 
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))