Average Error: 0.1 → 0.1
Time: 9.7s
Precision: 64
\[\left(x \cdot 3\right) \cdot y - z\]
↓
\[\left(y \cdot 3\right) \cdot x - z\]
\left(x \cdot 3\right) \cdot y - z
↓
\left(y \cdot 3\right) \cdot x - z
double f(double x, double y, double z) {
        double r20109363 = x;
        double r20109364 = 3.0;
        double r20109365 = r20109363 * r20109364;
        double r20109366 = y;
        double r20109367 = r20109365 * r20109366;
        double r20109368 = z;
        double r20109369 = r20109367 - r20109368;
        return r20109369;
}
↓
double f(double x, double y, double z) {
        double r20109370 = y;
        double r20109371 = 3.0;
        double r20109372 = r20109370 * r20109371;
        double r20109373 = x;
        double r20109374 = r20109372 * r20109373;
        double r20109375 = z;
        double r20109376 = r20109374 - r20109375;
        return r20109376;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.1
Target0.1
Herbie0.1
\[x \cdot \left(3 \cdot y\right) - z\]

Derivation

  1. Initial program 0.1

    \[\left(x \cdot 3\right) \cdot y - z\]
  2. Using strategy rm

  3. Applied associate-*l*0.1

    \[\leadsto \color{blue}{x \cdot \left(3 \cdot y\right)} - z\]

  4. Final simplification0.1

    \[\leadsto \left(y \cdot 3\right) \cdot x - z\]

Reproduce

herbie shell --seed 2019171 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:cubForm  from diagrams-solve-0.1, B"

  :herbie-target
  (- (* x (* 3.0 y)) z)

  (- (* (* x 3.0) y) z))