Average Error: 0.2 → 0.2
Time: 19.7s
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 r142551 = x;
        double r142552 = 3.0;
        double r142553 = r142551 * r142552;
        double r142554 = r142553 * r142551;
        return r142554;
}
↓
double f(double x) {
        double r142555 = x;
        double r142556 = 3.0;
        double r142557 = r142555 * r142556;
        double r142558 = r142557 * r142555;
        return r142558;
}

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