Average Error: 0.1 → 0.1
Time: 14.5s
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 r33381 = x;
        double r33382 = y;
        double r33383 = r33381 * r33382;
        double r33384 = 1.0;
        double r33385 = r33384 - r33382;
        double r33386 = r33383 * r33385;
        return r33386;
}
↓
double f(double x, double y) {
        double r33387 = x;
        double r33388 = y;
        double r33389 = r33387 * r33388;
        double r33390 = 1.0;
        double r33391 = r33390 - r33388;
        double r33392 = r33389 * r33391;
        return r33392;
}

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 2019325 
(FPCore (x y)
  :name "Statistics.Distribution.Binomial:$cvariance from math-functions-0.1.5.2"
  :precision binary64
  (* (* x y) (- 1 y)))