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 r13031420 = x;
        double r13031421 = y;
        double r13031422 = 4.0;
        double r13031423 = r13031421 * r13031422;
        double r13031424 = z;
        double r13031425 = r13031423 * r13031424;
        double r13031426 = r13031420 - r13031425;
        return r13031426;
}

↓

double f(double x, double y, double z) {
        double r13031427 = x;
        double r13031428 = 4.0;
        double r13031429 = y;
        double r13031430 = r13031428 * r13031429;
        double r13031431 = z;
        double r13031432 = r13031430 * r13031431;
        double r13031433 = r13031427 - r13031432;
        return r13031433;
}

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