Average Error: 0.2 → 0.2

Time: 3.1s

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 r227065 = x;
        double r227066 = y;
        double r227067 = r227065 * r227066;
        double r227068 = r227067 * r227066;
        return r227068;
}

↓

double f(double x, double y) {
        double r227069 = x;
        double r227070 = y;
        double r227071 = r227069 * r227070;
        double r227072 = r227071 * r227070;
        return r227072;
}

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 2019354 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))