Average Error: 0.2 → 0.2
Time: 1.9s
Precision: 64
\[\left(x \cdot 3\right) \cdot y - z\]
↓
\[\left(x \cdot 3\right) \cdot y - z\]
\left(x \cdot 3\right) \cdot y - z
↓
\left(x \cdot 3\right) \cdot y - z
double f(double x, double y, double z) {
        double r775091 = x;
        double r775092 = 3.0;
        double r775093 = r775091 * r775092;
        double r775094 = y;
        double r775095 = r775093 * r775094;
        double r775096 = z;
        double r775097 = r775095 - r775096;
        return r775097;
}
↓
double f(double x, double y, double z) {
        double r775098 = x;
        double r775099 = 3.0;
        double r775100 = r775098 * r775099;
        double r775101 = y;
        double r775102 = r775100 * r775101;
        double r775103 = z;
        double r775104 = r775102 - r775103;
        return r775104;
}

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

Original0.2
Target0.1
Herbie0.2
\[x \cdot \left(3 \cdot y\right) - z\]

Derivation

  1. Initial program 0.2

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

  2. Final simplification0.2

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

Reproduce

herbie shell --seed 2020001 
(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))