Average Error: 0.1 → 0.1
Time: 12.1s
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 r32278 = x;
        double r32279 = y;
        double r32280 = r32278 * r32279;
        double r32281 = 1.0;
        double r32282 = r32281 - r32279;
        double r32283 = r32280 * r32282;
        return r32283;
}
↓
double f(double x, double y) {
        double r32284 = x;
        double r32285 = y;
        double r32286 = r32284 * r32285;
        double r32287 = 1.0;
        double r32288 = r32287 - r32285;
        double r32289 = r32286 * r32288;
        return r32289;
}

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 2019209 +o rules:numerics
(FPCore (x y)
  :name "Statistics.Distribution.Binomial:$cvariance from math-functions-0.1.5.2"
  :precision binary64
  (* (* x y) (- 1 y)))