Average Error: 0.1 → 0.1
Time: 5.9s
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 r37109 = x;
        double r37110 = y;
        double r37111 = r37109 * r37110;
        double r37112 = 1.0;
        double r37113 = r37112 - r37110;
        double r37114 = r37111 * r37113;
        return r37114;
}
↓
double f(double x, double y) {
        double r37115 = x;
        double r37116 = y;
        double r37117 = r37115 * r37116;
        double r37118 = 1.0;
        double r37119 = r37118 - r37116;
        double r37120 = r37117 * r37119;
        return r37120;
}

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