Average Error: 0.1 → 0.1
Time: 18.2s
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 r32005 = x;
        double r32006 = y;
        double r32007 = r32005 * r32006;
        double r32008 = 1.0;
        double r32009 = r32008 - r32006;
        double r32010 = r32007 * r32009;
        return r32010;
}
↓
double f(double x, double y) {
        double r32011 = x;
        double r32012 = y;
        double r32013 = r32011 * r32012;
        double r32014 = 1.0;
        double r32015 = r32014 - r32012;
        double r32016 = r32013 * r32015;
        return r32016;
}

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 2019303 +o rules:numerics
(FPCore (x y)
  :name "Statistics.Distribution.Binomial:$cvariance from math-functions-0.1.5.2"
  :precision binary64
  (* (* x y) (- 1 y)))