Average Error: 0.2 → 0.2
Time: 16.9s
Precision: 64
\[\left(x \cdot 3\right) \cdot x\]
↓
\[\left(x \cdot 3\right) \cdot x\]
\left(x \cdot 3\right) \cdot x
↓
\left(x \cdot 3\right) \cdot x
double f(double x) {
        double r180515 = x;
        double r180516 = 3.0;
        double r180517 = r180515 * r180516;
        double r180518 = r180517 * r180515;
        return r180518;
}
↓
double f(double x) {
        double r180519 = x;
        double r180520 = 3.0;
        double r180521 = r180519 * r180520;
        double r180522 = r180521 * r180519;
        return r180522;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.2

    \[\left(x \cdot 3\right) \cdot x\]

  2. Final simplification0.2

    \[\leadsto \left(x \cdot 3\right) \cdot x\]

Reproduce

herbie shell --seed 2019303 +o rules:numerics
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))