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

Average Error: 0.1 → 0.1

Time: 22.5s

Precision: 64

Math

\[x - \frac{3}{8} \cdot y\]

↓

\[x - \frac{3}{8} \cdot y\]

C

double f(double x, double y) {
        double r12263871 = x;
        double r12263872 = 3.0;
        double r12263873 = 8.0;
        double r12263874 = r12263872 / r12263873;
        double r12263875 = y;
        double r12263876 = r12263874 * r12263875;
        double r12263877 = r12263871 - r12263876;
        return r12263877;
}

↓

double f(double x, double y) {
        double r12263878 = x;
        double r12263879 = 3.0;
        double r12263880 = 8.0;
        double r12263881 = r12263879 / r12263880;
        double r12263882 = y;
        double r12263883 = r12263881 * r12263882;
        double r12263884 = r12263878 - r12263883;
        return r12263884;
}

Error

Bits error versus x

Bits error versus y

Derivation

1. Initial program 0.1

   \[x - \frac{3}{8} \cdot y\]

2. Final simplification 0.1

   \[\leadsto x - \frac{3}{8} \cdot y\]

Reproduce

herbie shell --seed 2019179 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  (- x (* (/ 3.0 8.0) y)))