Average Error: 0.2 → 0.2
Time: 1.8s
Precision: binary64
\[\left(x \cdot y\right) \cdot y\]
↓
\[y \cdot \left(x \cdot y\right)\]
\left(x \cdot y\right) \cdot y
↓
y \cdot \left(x \cdot y\right)
(FPCore (x y) :precision binary64 (* (* x y) y))
↓
(FPCore (x y) :precision binary64 (* y (* x y)))
double code(double x, double y) {
	return ((double) (((double) (x * y)) * y));
}
↓
double code(double x, double y) {
	return ((double) (y * ((double) (x * y))));
}

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 Error: 0.2 bits

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

  2. Final simplificationError: 0.2 bits

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

Reproduce

herbie shell --seed 2020204 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))