Average Error: 0.1 → 0.2
Time: 1.4s
Precision: 64
\[\left(x \cdot 3\right) \cdot y - z\]
↓
\[x \cdot \left(3 \cdot y\right) - z\]
\left(x \cdot 3\right) \cdot y - z
↓
x \cdot \left(3 \cdot y\right) - z
double f(double x, double y, double z) {
        double r600974 = x;
        double r600975 = 3.0;
        double r600976 = r600974 * r600975;
        double r600977 = y;
        double r600978 = r600976 * r600977;
        double r600979 = z;
        double r600980 = r600978 - r600979;
        return r600980;
}
↓
double f(double x, double y, double z) {
        double r600981 = x;
        double r600982 = 3.0;
        double r600983 = y;
        double r600984 = r600982 * r600983;
        double r600985 = r600981 * r600984;
        double r600986 = z;
        double r600987 = r600985 - r600986;
        return r600987;
}

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
Target0.2
Herbie0.2
\[x \cdot \left(3 \cdot y\right) - z\]

Derivation

  1. Initial program 0.1

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

  3. Applied associate-*l*0.2

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

  4. Final simplification0.2

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

Reproduce

herbie shell --seed 2020035 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:cubForm  from diagrams-solve-0.1, B"
  :precision binary64

  :herbie-target
  (- (* x (* 3 y)) z)

  (- (* (* x 3) y) z))