Average Error: 0.2 → 0.2
Time: 2.4s
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 r226309 = x;
        double r226310 = 3.0;
        double r226311 = r226309 * r226310;
        double r226312 = r226311 * r226309;
        return r226312;
}
↓
double f(double x) {
        double r226313 = x;
        double r226314 = 3.0;
        double r226315 = r226313 * r226314;
        double r226316 = r226315 * r226313;
        return r226316;
}

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 2020025 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))