Average Error: 0.0 → 0.0
Time: 21.5s
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 r7898962 = x;
        double r7898963 = y;
        double r7898964 = r7898962 - r7898963;
        double r7898965 = 1.0;
        double r7898966 = r7898965 - r7898963;
        double r7898967 = r7898964 / r7898966;
        return r7898967;
}
↓
double f(double x, double y) {
        double r7898968 = x;
        double r7898969 = 1.0;
        double r7898970 = y;
        double r7898971 = r7898969 - r7898970;
        double r7898972 = r7898968 / r7898971;
        double r7898973 = r7898970 / r7898971;
        double r7898974 = r7898972 - r7898973;
        return r7898974;
}

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 2019200 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  (/ (- x y) (- 1.0 y)))