Average Error: 0.2 → 0.2
Time: 22.6s
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 r128202 = x;
        double r128203 = 3.0;
        double r128204 = r128202 * r128203;
        double r128205 = r128204 * r128202;
        return r128205;
}
↓
double f(double x) {
        double r128206 = x;
        double r128207 = 3.0;
        double r128208 = r128206 * r128207;
        double r128209 = r128208 * r128206;
        return r128209;
}

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 2019323 +o rules:numerics
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))