Average Error: 0.2 → 0.2
Time: 10.2s
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 r149176 = x;
        double r149177 = 3.0;
        double r149178 = r149176 * r149177;
        double r149179 = r149178 * r149176;
        return r149179;
}
↓
double f(double x) {
        double r149180 = x;
        double r149181 = 3.0;
        double r149182 = r149180 * r149181;
        double r149183 = r149182 * r149180;
        return r149183;
}

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