Average Error: 0.1 → 0.1
Time: 3.3s
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 r31976 = x;
        double r31977 = y;
        double r31978 = r31976 * r31977;
        double r31979 = 1.0;
        double r31980 = r31979 - r31977;
        double r31981 = r31978 * r31980;
        return r31981;
}
↓
double f(double x, double y) {
        double r31982 = x;
        double r31983 = y;
        double r31984 = r31982 * r31983;
        double r31985 = 1.0;
        double r31986 = r31985 - r31983;
        double r31987 = r31984 * r31986;
        return r31987;
}

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 2019347 +o rules:numerics
(FPCore (x y)
  :name "Statistics.Distribution.Binomial:$cvariance from math-functions-0.1.5.2"
  :precision binary64
  (* (* x y) (- 1 y)))