Average Error: 0.3 → 0.3
Time: 3.2s
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 r694343 = x;
        double r694344 = 3.0;
        double r694345 = r694343 * r694344;
        double r694346 = y;
        double r694347 = r694345 * r694346;
        double r694348 = r694347 * r694346;
        return r694348;
}
↓
double f(double x, double y) {
        double r694349 = x;
        double r694350 = 3.0;
        double r694351 = r694349 * r694350;
        double r694352 = y;
        double r694353 = r694351 * r694352;
        double r694354 = r694353 * r694352;
        return r694354;
}

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 2020021 
(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))