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 r210522 = x;
        double r210523 = 3.0;
        double r210524 = r210522 * r210523;
        double r210525 = r210524 * r210522;
        return r210525;
}
↓
double f(double x) {
        double r210526 = x;
        double r210527 = 3.0;
        double r210528 = r210526 * r210527;
        double r210529 = r210528 * r210526;
        return r210529;
}

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 2019354 +o rules:numerics
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))