Average Error: 0.2 → 0.2

Time: 7.9s

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 r234023 = x;
        double r234024 = y;
        double r234025 = r234023 * r234024;
        double r234026 = r234025 * r234024;
        return r234026;
}

↓

double f(double x, double y) {
        double r234027 = x;
        double r234028 = y;
        double r234029 = r234027 * r234028;
        double r234030 = r234029 * r234028;
        return r234030;
}

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 2019235 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))