Average Error: 0.2 → 0.2

Time: 3.4s

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 r278118 = x;
        double r278119 = y;
        double r278120 = r278118 * r278119;
        double r278121 = r278120 * r278119;
        return r278121;
}

↓

double f(double x, double y) {
        double r278122 = x;
        double r278123 = y;
        double r278124 = r278122 * r278123;
        double r278125 = r278124 * r278123;
        return r278125;
}

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 2020062 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))