Average Error: 0.2 → 0.2

Time: 14.7s

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 r188386 = x;
        double r188387 = y;
        double r188388 = r188386 * r188387;
        double r188389 = r188388 * r188387;
        return r188389;
}

↓

double f(double x, double y) {
        double r188390 = x;
        double r188391 = y;
        double r188392 = r188390 * r188391;
        double r188393 = r188392 * r188391;
        return r188393;
}

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 2019323 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))