Average Error: 0.1 → 0.1
Time: 10.0s
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 r28764 = x;
        double r28765 = y;
        double r28766 = r28764 * r28765;
        double r28767 = 1.0;
        double r28768 = r28767 - r28765;
        double r28769 = r28766 * r28768;
        return r28769;
}
↓
double f(double x, double y) {
        double r28770 = x;
        double r28771 = y;
        double r28772 = r28770 * r28771;
        double r28773 = 1.0;
        double r28774 = r28773 - r28771;
        double r28775 = r28772 * r28774;
        return r28775;
}

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