Average Error: 0.2 → 0.2
Time: 6.9s
Precision: 64
\[\left(x \cdot 3\right) \cdot x\]
↓
\[x \cdot \left(x \cdot 3\right)\]
\left(x \cdot 3\right) \cdot x
↓
x \cdot \left(x \cdot 3\right)
double f(double x) {
        double r10120635 = x;
        double r10120636 = 3.0;
        double r10120637 = r10120635 * r10120636;
        double r10120638 = r10120637 * r10120635;
        return r10120638;
}
↓
double f(double x) {
        double r10120639 = x;
        double r10120640 = 3.0;
        double r10120641 = r10120639 * r10120640;
        double r10120642 = r10120639 * r10120641;
        return r10120642;
}

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

    \[\leadsto x \cdot \left(x \cdot 3\right)\]

Reproduce

herbie shell --seed 2019179 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  (* (* x 3.0) x))