Average Error: 0.2 → 0.2
Time: 16.8s
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 r192419 = x;
        double r192420 = 3.0;
        double r192421 = r192419 * r192420;
        double r192422 = r192421 * r192419;
        return r192422;
}
↓
double f(double x) {
        double r192423 = x;
        double r192424 = 3.0;
        double r192425 = r192423 * r192424;
        double r192426 = r192425 * r192423;
        return r192426;
}

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 2019304 +o rules:numerics
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))