Average Error: 0.2 → 0.2
Time: 3.9s
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 r1016 = x;
        double r1017 = 3.0;
        double r1018 = r1016 * r1017;
        double r1019 = r1018 * r1016;
        return r1019;
}
↓
double f(double x) {
        double r1020 = x;
        double r1021 = 3.0;
        double r1022 = r1020 * r1021;
        double r1023 = r1022 * r1020;
        return r1023;
}

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))