Average Error: 0.2 → 0.2

Time: 20.5s

Precision: 64

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

↓

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

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

↓

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

double f(double x, double y) {
        double r841606 = x;
        double r841607 = y;
        double r841608 = r841606 * r841607;
        double r841609 = r841608 * r841607;
        return r841609;
}

↓

double f(double x, double y) {
        double r841610 = x;
        double r841611 = y;
        double r841612 = r841610 * r841611;
        double r841613 = r841612 * r841611;
        return r841613;
}

Error

The X axis uses an exponential scale — Bits error versus `x`

Try it out

In
Out

Enter valid numbers for all inputs

Derivation

Initial program 0.2
\[\left(x \cdot y\right) \cdot y\]
Final simplification0.2
\[\leadsto \left(x \cdot y\right) \cdot y\]

Reproduce

herbie shell --seed 2019303 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))