Average Error: 0.1 → 0.1
Time: 8.7s
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 r36979 = x;
        double r36980 = y;
        double r36981 = r36979 * r36980;
        double r36982 = 1.0;
        double r36983 = r36982 - r36980;
        double r36984 = r36981 * r36983;
        return r36984;
}
↓
double f(double x, double y) {
        double r36985 = x;
        double r36986 = y;
        double r36987 = r36985 * r36986;
        double r36988 = 1.0;
        double r36989 = r36988 - r36986;
        double r36990 = r36987 * r36989;
        return r36990;
}

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 2020045 
(FPCore (x y)
  :name "Statistics.Distribution.Binomial:$cvariance from math-functions-0.1.5.2"
  :precision binary64
  (* (* x y) (- 1 y)))