Average Error: 0.1 → 0.1
Time: 8.5s
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 r35378 = x;
        double r35379 = y;
        double r35380 = r35378 * r35379;
        double r35381 = 1.0;
        double r35382 = r35381 - r35379;
        double r35383 = r35380 * r35382;
        return r35383;
}
↓
double f(double x, double y) {
        double r35384 = x;
        double r35385 = y;
        double r35386 = r35384 * r35385;
        double r35387 = 1.0;
        double r35388 = r35387 - r35385;
        double r35389 = r35386 * r35388;
        return r35389;
}

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