Average Error: 0.2 → 0.2

Time: 9.0s

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 r9554394 = x;
        double r9554395 = y;
        double r9554396 = r9554394 * r9554395;
        double r9554397 = r9554396 * r9554395;
        return r9554397;
}

↓

double f(double x, double y) {
        double r9554398 = x;
        double r9554399 = y;
        double r9554400 = r9554398 * r9554399;
        double r9554401 = r9554400 * r9554399;
        return r9554401;
}

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 2019172 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  (* (* x y) y))