Average Error: 0.2 → 0.2
Time: 3.7s
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 r194310 = x;
        double r194311 = 3.0;
        double r194312 = r194310 * r194311;
        double r194313 = r194312 * r194310;
        return r194313;
}
↓
double f(double x) {
        double r194314 = x;
        double r194315 = 3.0;
        double r194316 = r194314 * r194315;
        double r194317 = r194316 * r194314;
        return r194317;
}

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 2019353 +o rules:numerics
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))