Average Error: 0.1 → 0.1
Time: 17.7s
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 r33054 = x;
        double r33055 = y;
        double r33056 = r33054 * r33055;
        double r33057 = 1.0;
        double r33058 = r33057 - r33055;
        double r33059 = r33056 * r33058;
        return r33059;
}
↓
double f(double x, double y) {
        double r33060 = x;
        double r33061 = y;
        double r33062 = r33060 * r33061;
        double r33063 = 1.0;
        double r33064 = r33063 - r33061;
        double r33065 = r33062 * r33064;
        return r33065;
}

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 2019323 +o rules:numerics
(FPCore (x y)
  :name "Statistics.Distribution.Binomial:$cvariance from math-functions-0.1.5.2"
  :precision binary64
  (* (* x y) (- 1 y)))