Average Error: 0.1 → 0.1
Time: 7.6s
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 r34622 = x;
        double r34623 = y;
        double r34624 = r34622 * r34623;
        double r34625 = 1.0;
        double r34626 = r34625 - r34623;
        double r34627 = r34624 * r34626;
        return r34627;
}
↓
double f(double x, double y) {
        double r34628 = x;
        double r34629 = y;
        double r34630 = r34628 * r34629;
        double r34631 = 1.0;
        double r34632 = r34631 - r34629;
        double r34633 = r34630 * r34632;
        return r34633;
}

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 2020047 +o rules:numerics
(FPCore (x y)
  :name "Statistics.Distribution.Binomial:$cvariance from math-functions-0.1.5.2"
  :precision binary64
  (* (* x y) (- 1 y)))