Average Error: 0.1 → 0.1
Time: 9.6s
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 r19736 = x;
        double r19737 = y;
        double r19738 = r19736 * r19737;
        double r19739 = 1.0;
        double r19740 = r19739 - r19737;
        double r19741 = r19738 * r19740;
        return r19741;
}
↓
double f(double x, double y) {
        double r19742 = x;
        double r19743 = y;
        double r19744 = r19742 * r19743;
        double r19745 = 1.0;
        double r19746 = r19745 - r19743;
        double r19747 = r19744 * r19746;
        return r19747;
}

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 2019235 +o rules:numerics
(FPCore (x y)
  :name "Statistics.Distribution.Binomial:$cvariance from math-functions-0.1.5.2"
  :precision binary64
  (* (* x y) (- 1 y)))