Average Error: 0.2 → 0.2
Time: 2.5s
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 r207441 = x;
        double r207442 = 3.0;
        double r207443 = r207441 * r207442;
        double r207444 = r207443 * r207441;
        return r207444;
}
↓
double f(double x) {
        double r207445 = x;
        double r207446 = 3.0;
        double r207447 = r207445 * r207446;
        double r207448 = r207447 * r207445;
        return r207448;
}

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 2020064 +o rules:numerics
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))