Average Error: 0.2 → 0.2
Time: 16.7s
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 r159271 = x;
        double r159272 = 3.0;
        double r159273 = r159271 * r159272;
        double r159274 = r159273 * r159271;
        return r159274;
}
↓
double f(double x) {
        double r159275 = x;
        double r159276 = 3.0;
        double r159277 = r159275 * r159276;
        double r159278 = r159277 * r159275;
        return r159278;
}

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 2019303 +o rules:numerics
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))