Average Error: 0.2 → 0.2

Time: 18.2s

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 r230267 = x;
        double r230268 = y;
        double r230269 = r230267 * r230268;
        double r230270 = r230269 * r230268;
        return r230270;
}

↓

double f(double x, double y) {
        double r230271 = x;
        double r230272 = y;
        double r230273 = r230271 * r230272;
        double r230274 = r230273 * r230272;
        return r230274;
}

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 2019304 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))