Average Error: 0.0 → 0.0
Time: 6.9s
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 r212153 = x;
        double r212154 = y;
        double r212155 = r212153 - r212154;
        double r212156 = 1.0;
        double r212157 = r212156 - r212154;
        double r212158 = r212155 / r212157;
        return r212158;
}
↓
double f(double x, double y) {
        double r212159 = x;
        double r212160 = 1.0;
        double r212161 = y;
        double r212162 = r212160 - r212161;
        double r212163 = r212159 / r212162;
        double r212164 = r212161 / r212162;
        double r212165 = r212163 - r212164;
        return r212165;
}

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 2020047 
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))