Average Error: 0.0 → 0.1
Time: 2.4s
Precision: 64
\[x - \left(y \cdot 4\right) \cdot z\]
↓
\[x - y \cdot \left(4 \cdot z\right)\]
x - \left(y \cdot 4\right) \cdot z
↓
x - y \cdot \left(4 \cdot z\right)
double f(double x, double y, double z) {
        double r190879 = x;
        double r190880 = y;
        double r190881 = 4.0;
        double r190882 = r190880 * r190881;
        double r190883 = z;
        double r190884 = r190882 * r190883;
        double r190885 = r190879 - r190884;
        return r190885;
}
↓
double f(double x, double y, double z) {
        double r190886 = x;
        double r190887 = y;
        double r190888 = 4.0;
        double r190889 = z;
        double r190890 = r190888 * r190889;
        double r190891 = r190887 * r190890;
        double r190892 = r190886 - r190891;
        return r190892;
}

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

Derivation

  1. Initial program 0.0

    \[x - \left(y \cdot 4\right) \cdot z\]
  2. Using strategy rm

  3. Applied associate-*l*0.1

    \[\leadsto x - \color{blue}{y \cdot \left(4 \cdot z\right)}\]

  4. Final simplification0.1

    \[\leadsto x - y \cdot \left(4 \cdot z\right)\]

Reproduce

herbie shell --seed 2020060 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (* y 4) z)))