Average Error: 0.1 → 0.1
Time: 3.3s
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 r29162 = x;
        double r29163 = y;
        double r29164 = r29162 * r29163;
        double r29165 = 1.0;
        double r29166 = r29165 - r29163;
        double r29167 = r29164 * r29166;
        return r29167;
}
↓
double f(double x, double y) {
        double r29168 = x;
        double r29169 = y;
        double r29170 = r29168 * r29169;
        double r29171 = 1.0;
        double r29172 = r29171 - r29169;
        double r29173 = r29170 * r29172;
        return r29173;
}

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 2020003 
(FPCore (x y)
  :name "Statistics.Distribution.Binomial:$cvariance from math-functions-0.1.5.2"
  :precision binary64
  (* (* x y) (- 1 y)))