Average Error: 0.1 → 0.1
Time: 2.9s
Precision: binary64
Cost: 448
\[\left(x \cdot y\right) \cdot \left(1 - y\right)\]
↓
\[\left(x \cdot y\right) \cdot \left(1 - y\right)\]
\left(x \cdot y\right) \cdot \left(1 - y\right)
↓
\left(x \cdot y\right) \cdot \left(1 - y\right)
(FPCore (x y) :precision binary64 (* (* x y) (- 1.0 y)))
↓
(FPCore (x y) :precision binary64 (* (* x y) (- 1.0 y)))
double code(double x, double y) {
	return (x * y) * (1.0 - y);
}
↓
double code(double x, double y) {
	return (x * y) * (1.0 - y);
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Alternatives

Alternative 1
Error1.9
Cost712
\[\begin{array}{l} \mathbf{if}\;y \leq -0.998902085042832 \lor \neg \left(y \leq 1.0257109142889484\right):\\ \;\;\;\;\left(x \cdot y\right) \cdot \left(-y\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot y\\ \end{array}\]
Alternative 2
Error7.2
Cost712
\[\begin{array}{l} \mathbf{if}\;y \leq -0.998902085042832 \lor \neg \left(y \leq 1.0257109142889484\right):\\ \;\;\;\;x \cdot \left(y \cdot \left(-y\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot y\\ \end{array}\]
Alternative 3
Error21.4
Cost192
\[x \cdot y\]
Alternative 4
Error51.9
Cost64
\[0\]
Alternative 5
Error61.7
Cost64
\[1\]

Error

Derivation

  1. Initial program 0.1

    \[\left(x \cdot y\right) \cdot \left(1 - y\right)\]

  2. Simplified0.1

    \[\leadsto \color{blue}{\left(x \cdot y\right) \cdot \left(1 - y\right)}\]

  3. Final simplification0.1

    \[\leadsto \left(x \cdot y\right) \cdot \left(1 - y\right)\]

Reproduce

herbie shell --seed 2021044 
(FPCore (x y)
  :name "Statistics.Distribution.Binomial:$cvariance from math-functions-0.1.5.2"
  :precision binary64
  (* (* x y) (- 1.0 y)))