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

Average Error: 0.1 → 0.1

Time: 10.1s

Precision: 64

• Falling back on racket egraph because egg-herbie package not installed

Math

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

↓

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

C

double f(double x, double y) {
        double r218162 = x;
        double r218163 = 3.0;
        double r218164 = 8.0;
        double r218165 = r218163 / r218164;
        double r218166 = y;
        double r218167 = r218165 * r218166;
        double r218168 = r218162 - r218167;
        return r218168;
}

↓

double f(double x, double y) {
        double r218169 = x;
        double r218170 = 3.0;
        double r218171 = 8.0;
        double r218172 = r218170 / r218171;
        double r218173 = y;
        double r218174 = r218172 * r218173;
        double r218175 = r218169 - r218174;
        return r218175;
}

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 2020047 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (/ 3 8) y)))