Average Error: 0.0 → 0.0
Time: 9.9s
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 r7429224 = x;
        double r7429225 = y;
        double r7429226 = r7429224 - r7429225;
        double r7429227 = 1.0;
        double r7429228 = r7429227 - r7429225;
        double r7429229 = r7429226 / r7429228;
        return r7429229;
}
↓
double f(double x, double y) {
        double r7429230 = x;
        double r7429231 = 1.0;
        double r7429232 = y;
        double r7429233 = r7429231 - r7429232;
        double r7429234 = r7429230 / r7429233;
        double r7429235 = r7429232 / r7429233;
        double r7429236 = r7429234 - r7429235;
        return r7429236;
}

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 2019172 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  (/ (- x y) (- 1.0 y)))