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

Average Error: 0.1 → 0.1

Time: 1.0s

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 r9812993 = x;
        double r9812994 = y;
        double r9812995 = 4.0;
        double r9812996 = r9812994 * r9812995;
        double r9812997 = z;
        double r9812998 = r9812996 * r9812997;
        double r9812999 = r9812993 - r9812998;
        return r9812999;
}

↓

double f(double x, double y, double z) {
        double r9813000 = x;
        double r9813001 = 4.0;
        double r9813002 = y;
        double r9813003 = r9813001 * r9813002;
        double r9813004 = z;
        double r9813005 = r9813003 * r9813004;
        double r9813006 = r9813000 - r9813005;
        return r9813006;
}

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 2019162 +o rules:numerics
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, A"
  (- x (* (* y 4.0) z)))