Average Error: 0.1 → 0.1
Time: 3.2s
Precision: 64
\[\left(x \cdot y\right) \cdot \left(1 - y\right)\]
↓
\[\left(x \cdot y\right) \cdot \left(1 - y\right)\]
\left(x \cdot y\right) \cdot \left(1 - y\right)
↓
\left(x \cdot y\right) \cdot \left(1 - y\right)
double f(double x, double y) {
        double r18421 = x;
        double r18422 = y;
        double r18423 = r18421 * r18422;
        double r18424 = 1.0;
        double r18425 = r18424 - r18422;
        double r18426 = r18423 * r18425;
        return r18426;
}
↓
double f(double x, double y) {
        double r18427 = x;
        double r18428 = y;
        double r18429 = r18427 * r18428;
        double r18430 = 1.0;
        double r18431 = r18430 - r18428;
        double r18432 = r18429 * r18431;
        return r18432;
}

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 0.1

    \[\left(x \cdot y\right) \cdot \left(1 - y\right)\]

  2. Final simplification0.1

    \[\leadsto \left(x \cdot y\right) \cdot \left(1 - y\right)\]

Reproduce

herbie shell --seed 1978988140 
(FPCore (x y)
  :name "Statistics.Distribution.Binomial:$cvariance from math-functions-0.1.5.2"
  :precision binary64
  (* (* x y) (- 1 y)))