Average Error: 0.2 → 0.2
Time: 3.2s
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 r188923 = x;
        double r188924 = 3.0;
        double r188925 = r188923 * r188924;
        double r188926 = r188925 * r188923;
        return r188926;
}
↓
double f(double x) {
        double r188927 = x;
        double r188928 = 3.0;
        double r188929 = r188927 * r188928;
        double r188930 = r188929 * r188927;
        return r188930;
}

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))