Average Error: 0.2 → 0.2
Time: 9.2s
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 r135046 = x;
        double r135047 = 3.0;
        double r135048 = r135046 * r135047;
        double r135049 = r135048 * r135046;
        return r135049;
}
↓
double f(double x) {
        double r135050 = x;
        double r135051 = 3.0;
        double r135052 = r135050 * r135051;
        double r135053 = r135052 * r135050;
        return r135053;
}

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 2019235 +o rules:numerics
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))