Average Error: 0.2 → 0.2

Time: 3.6s

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 r331117 = x;
        double r331118 = y;
        double r331119 = r331117 * r331118;
        double r331120 = r331119 * r331118;
        return r331120;
}

↓

double f(double x, double y) {
        double r331121 = x;
        double r331122 = y;
        double r331123 = r331121 * r331122;
        double r331124 = r331123 * r331122;
        return r331124;
}

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 2020036 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))