Average Error: 0.2 → 0.2

Time: 19.9s

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 r260066 = x;
        double r260067 = y;
        double r260068 = r260066 * r260067;
        double r260069 = r260068 * r260067;
        return r260069;
}

↓

double f(double x, double y) {
        double r260070 = x;
        double r260071 = y;
        double r260072 = r260070 * r260071;
        double r260073 = r260072 * r260071;
        return r260073;
}

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))