Average Error: 0.2 → 0.2
Time: 3.6s
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 r197350 = x;
        double r197351 = 3.0;
        double r197352 = r197350 * r197351;
        double r197353 = r197352 * r197350;
        return r197353;
}
↓
double f(double x) {
        double r197354 = x;
        double r197355 = 3.0;
        double r197356 = r197354 * r197355;
        double r197357 = r197356 * r197354;
        return r197357;
}

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 2019322 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))