Average Error: 0.2 → 0.2

Time: 2.3s

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 r282297 = x;
        double r282298 = y;
        double r282299 = r282297 * r282298;
        double r282300 = r282299 * r282298;
        return r282300;
}

↓

double f(double x, double y) {
        double r282301 = x;
        double r282302 = y;
        double r282303 = r282301 * r282302;
        double r282304 = r282303 * r282302;
        return r282304;
}

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 2020047 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))