Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, A

Average Error: 0.1 → 0.1

Time: 7.7s

Precision: 64

Math

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

↓

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

C

double f(double x, double y, double z) {
        double r199151 = x;
        double r199152 = y;
        double r199153 = 4.0;
        double r199154 = r199152 * r199153;
        double r199155 = z;
        double r199156 = r199154 * r199155;
        double r199157 = r199151 - r199156;
        return r199157;
}

↓

double f(double x, double y, double z) {
        double r199158 = x;
        double r199159 = y;
        double r199160 = 4.0;
        double r199161 = r199159 * r199160;
        double r199162 = z;
        double r199163 = r199161 * r199162;
        double r199164 = r199158 - r199163;
        return r199164;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Derivation

1. Initial program 0.1

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

2. Final simplification 0.1

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

Reproduce

herbie shell --seed 2019199 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, A"
  (- x (* (* y 4.0) z)))