Average Error: 0.2 → 0.2
Time: 18.7s
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 r140277 = x;
        double r140278 = 3.0;
        double r140279 = r140277 * r140278;
        double r140280 = r140279 * r140277;
        return r140280;
}
↓
double f(double x) {
        double r140281 = x;
        double r140282 = 3.0;
        double r140283 = r140281 * r140282;
        double r140284 = r140283 * r140281;
        return r140284;
}

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 2019325 +o rules:numerics
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))