Average Error: 0 → 0

Time: 732.0ms

Precision: 64

\[\left(x \cdot 16\right) \cdot x\]

↓

\[x \cdot \left(x \cdot 16\right)\]

\left(x \cdot 16\right) \cdot x

↓

x \cdot \left(x \cdot 16\right)

double f(double x) {
        double r7418961 = x;
        double r7418962 = 16.0;
        double r7418963 = r7418961 * r7418962;
        double r7418964 = r7418963 * r7418961;
        return r7418964;
}

↓

double f(double x) {
        double r7418965 = x;
        double r7418966 = 16.0;
        double r7418967 = r7418965 * r7418966;
        double r7418968 = r7418965 * r7418967;
        return r7418968;
}

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
\[\left(x \cdot 16\right) \cdot x\]
Final simplification0
\[\leadsto x \cdot \left(x \cdot 16\right)\]

Reproduce

herbie shell --seed 2019174 
(FPCore (x)
  :name "Graphics.Rasterific.CubicBezier:isSufficientlyFlat from Rasterific-0.6.1"
  (* (* x 16.0) x))