Average Error: 0.2 → 0.2

Time: 4.2s

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 r260754 = x;
        double r260755 = y;
        double r260756 = r260754 * r260755;
        double r260757 = r260756 * r260755;
        return r260757;
}

↓

double f(double x, double y) {
        double r260758 = x;
        double r260759 = y;
        double r260760 = r260758 * r260759;
        double r260761 = r260760 * r260759;
        return r260761;
}

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 2020018 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))