Average Error: 0.2 → 0.2
Time: 11.3s
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 r149210 = x;
        double r149211 = 3.0;
        double r149212 = r149210 * r149211;
        double r149213 = r149212 * r149210;
        return r149213;
}
↓
double f(double x) {
        double r149214 = x;
        double r149215 = 3.0;
        double r149216 = r149214 * r149215;
        double r149217 = r149216 * r149214;
        return r149217;
}

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 2019208 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))