Average Error: 0.3 → 0.3
Time: 3.5s
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 r687288 = x;
        double r687289 = 3.0;
        double r687290 = r687288 * r687289;
        double r687291 = y;
        double r687292 = r687290 * r687291;
        double r687293 = r687292 * r687291;
        return r687293;
}
↓
double f(double x, double y) {
        double r687294 = x;
        double r687295 = 3.0;
        double r687296 = r687294 * r687295;
        double r687297 = y;
        double r687298 = r687296 * r687297;
        double r687299 = r687298 * r687297;
        return r687299;
}

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
Target0.2
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 2019322 
(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))