Average Error: 0.3 → 0.3
Time: 3.4s
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 r800121 = x;
        double r800122 = 3.0;
        double r800123 = r800121 * r800122;
        double r800124 = y;
        double r800125 = r800123 * r800124;
        double r800126 = r800125 * r800124;
        return r800126;
}
↓
double f(double x, double y) {
        double r800127 = x;
        double r800128 = 3.0;
        double r800129 = r800127 * r800128;
        double r800130 = y;
        double r800131 = r800129 * r800130;
        double r800132 = r800131 * r800130;
        return r800132;
}

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 2020020 
(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))