Average Error: 0.3 → 0.3
Time: 11.9s
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 r741168 = x;
        double r741169 = 3.0;
        double r741170 = r741168 * r741169;
        double r741171 = y;
        double r741172 = r741170 * r741171;
        double r741173 = r741172 * r741171;
        return r741173;
}
↓
double f(double x, double y) {
        double r741174 = x;
        double r741175 = 3.0;
        double r741176 = r741174 * r741175;
        double r741177 = y;
        double r741178 = r741176 * r741177;
        double r741179 = r741178 * r741177;
        return r741179;
}

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 2020047 +o rules:numerics
(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))