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

Average Error: 0.1 → 0.1

Time: 12.8s

Precision: 64

Math

\[x - \left(y \cdot 4.0\right) \cdot z\]

↓

\[x - \left(4.0 \cdot y\right) \cdot z\]

C

double f(double x, double y, double z) {
        double r9137953 = x;
        double r9137954 = y;
        double r9137955 = 4.0;
        double r9137956 = r9137954 * r9137955;
        double r9137957 = z;
        double r9137958 = r9137956 * r9137957;
        double r9137959 = r9137953 - r9137958;
        return r9137959;
}

↓

double f(double x, double y, double z) {
        double r9137960 = x;
        double r9137961 = 4.0;
        double r9137962 = y;
        double r9137963 = r9137961 * r9137962;
        double r9137964 = z;
        double r9137965 = r9137963 * r9137964;
        double r9137966 = r9137960 - r9137965;
        return r9137966;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Derivation

1. Initial program 0.1

   \[x - \left(y \cdot 4.0\right) \cdot z\]

2. Final simplification 0.1

   \[\leadsto x - \left(4.0 \cdot y\right) \cdot z\]

Reproduce

herbie shell --seed 2019165 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, A"
  (- x (* (* y 4.0) z)))