Average Error: 0.1 → 0.1
Time: 4.1s
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 r40006 = x;
        double r40007 = y;
        double r40008 = r40006 * r40007;
        double r40009 = 1.0;
        double r40010 = r40009 - r40007;
        double r40011 = r40008 * r40010;
        return r40011;
}
↓
double f(double x, double y) {
        double r40012 = x;
        double r40013 = y;
        double r40014 = r40012 * r40013;
        double r40015 = 1.0;
        double r40016 = r40015 - r40013;
        double r40017 = r40014 * r40016;
        return r40017;
}

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 2020035 
(FPCore (x y)
  :name "Statistics.Distribution.Binomial:$cvariance from math-functions-0.1.5.2"
  :precision binary64
  (* (* x y) (- 1 y)))