Average Error: 0 → 0

Time: 2.6s

Precision: 64

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

↓

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

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

↓

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

double f(double x) {
        double r9792334 = x;
        double r9792335 = 16.0;
        double r9792336 = r9792334 * r9792335;
        double r9792337 = r9792336 * r9792334;
        return r9792337;
}

↓

double f(double x) {
        double r9792338 = x;
        double r9792339 = 16.0;
        double r9792340 = r9792339 * r9792338;
        double r9792341 = r9792338 * r9792340;
        return r9792341;
}

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

Reproduce

herbie shell --seed 2019200 
(FPCore (x)
  :name "Graphics.Rasterific.CubicBezier:isSufficientlyFlat from Rasterific-0.6.1"
  (* (* x 16.0) x))