Average Error: 0.3 → 0.3
Time: 2.7s
Precision: 64
\[\left(\left(x \cdot 3\right) \cdot y\right) \cdot y\]
↓
\[\left(\left(x \cdot 3\right) \cdot y\right) \cdot y\]
\left(\left(x \cdot 3\right) \cdot y\right) \cdot y
↓
\left(\left(x \cdot 3\right) \cdot y\right) \cdot y
double f(double x, double y) {
        double r840496 = x;
        double r840497 = 3.0;
        double r840498 = r840496 * r840497;
        double r840499 = y;
        double r840500 = r840498 * r840499;
        double r840501 = r840500 * r840499;
        return r840501;
}
↓
double f(double x, double y) {
        double r840502 = x;
        double r840503 = 3.0;
        double r840504 = r840502 * r840503;
        double r840505 = y;
        double r840506 = r840504 * r840505;
        double r840507 = r840506 * r840505;
        return r840507;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.3
Target0.3
Herbie0.3
\[\left(x \cdot \left(3 \cdot y\right)\right) \cdot y\]

Derivation

  1. Initial program 0.3

    \[\left(\left(x \cdot 3\right) \cdot y\right) \cdot y\]

  2. Final simplification0.3

    \[\leadsto \left(\left(x \cdot 3\right) \cdot y\right) \cdot y\]

Reproduce

herbie shell --seed 2020025 
(FPCore (x y)
  :name "Diagrams.Segment:$catParam from diagrams-lib-1.3.0.3, B"
  :precision binary64

  :herbie-target
  (* (* x (* 3 y)) y)

  (* (* (* x 3) y) y))