Average Error: 0.2 → 0.2
Time: 3.3s
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 r182887 = x;
        double r182888 = 3.0;
        double r182889 = r182887 * r182888;
        double r182890 = r182889 * r182887;
        return r182890;
}
↓
double f(double x) {
        double r182891 = x;
        double r182892 = 3.0;
        double r182893 = r182891 * r182892;
        double r182894 = r182893 * r182891;
        return r182894;
}

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 2020036 +o rules:numerics
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))