Average Error: 0.0 → 0.0
Time: 1.5s
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 r183012 = x;
        double r183013 = y;
        double r183014 = r183012 - r183013;
        double r183015 = 1.0;
        double r183016 = r183015 - r183013;
        double r183017 = r183014 / r183016;
        return r183017;
}
↓
double f(double x, double y) {
        double r183018 = x;
        double r183019 = 1.0;
        double r183020 = y;
        double r183021 = r183019 - r183020;
        double r183022 = r183018 / r183021;
        double r183023 = r183020 / r183021;
        double r183024 = r183022 - r183023;
        return r183024;
}

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 2020025 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))