Average Error: 0.2 → 0.2
Time: 2.6s
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 r197380 = x;
        double r197381 = 3.0;
        double r197382 = r197380 * r197381;
        double r197383 = r197382 * r197380;
        return r197383;
}
↓
double f(double x) {
        double r197384 = x;
        double r197385 = 3.0;
        double r197386 = r197384 * r197385;
        double r197387 = r197386 * r197384;
        return r197387;
}

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