Average Error: 0.2 → 0.2
Time: 2.6s
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 r186345 = x;
        double r186346 = 3.0;
        double r186347 = r186345 * r186346;
        double r186348 = r186347 * r186345;
        return r186348;
}
↓
double f(double x) {
        double r186349 = x;
        double r186350 = 3.0;
        double r186351 = r186349 * r186350;
        double r186352 = r186351 * r186349;
        return r186352;
}

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 2020089 +o rules:numerics
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))