Average Error: 0.3 → 0.3
Time: 8.4s
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 r898601 = x;
        double r898602 = 3.0;
        double r898603 = r898601 * r898602;
        double r898604 = y;
        double r898605 = r898603 * r898604;
        double r898606 = r898605 * r898604;
        return r898606;
}
↓
double f(double x, double y) {
        double r898607 = x;
        double r898608 = 3.0;
        double r898609 = r898607 * r898608;
        double r898610 = y;
        double r898611 = r898609 * r898610;
        double r898612 = r898611 * r898610;
        return r898612;
}

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 
(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))