Average Error: 0.1 → 0.1
Time: 12.3s
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 r30645 = x;
        double r30646 = y;
        double r30647 = r30645 * r30646;
        double r30648 = 1.0;
        double r30649 = r30648 - r30646;
        double r30650 = r30647 * r30649;
        return r30650;
}
↓
double f(double x, double y) {
        double r30651 = x;
        double r30652 = y;
        double r30653 = r30651 * r30652;
        double r30654 = 1.0;
        double r30655 = r30654 - r30652;
        double r30656 = r30653 * r30655;
        return r30656;
}

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 2019212 +o rules:numerics
(FPCore (x y)
  :name "Statistics.Distribution.Binomial:$cvariance from math-functions-0.1.5.2"
  :precision binary64
  (* (* x y) (- 1 y)))