Average Error: 0.2 → 0.2
Time: 21.5s
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 r132607 = x;
        double r132608 = 3.0;
        double r132609 = r132607 * r132608;
        double r132610 = r132609 * r132607;
        return r132610;
}
↓
double f(double x) {
        double r132611 = x;
        double r132612 = 3.0;
        double r132613 = r132611 * r132612;
        double r132614 = r132613 * r132611;
        return r132614;
}

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 2019325 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))