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

Average Error: 0.1 → 0.1

Time: 11.3s

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 r276245 = x;
        double r276246 = 3.0;
        double r276247 = 8.0;
        double r276248 = r276246 / r276247;
        double r276249 = y;
        double r276250 = r276248 * r276249;
        double r276251 = r276245 - r276250;
        return r276251;
}

↓

double f(double x, double y) {
        double r276252 = x;
        double r276253 = 3.0;
        double r276254 = 8.0;
        double r276255 = r276253 / r276254;
        double r276256 = y;
        double r276257 = r276255 * r276256;
        double r276258 = r276252 - r276257;
        return r276258;
}

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 2020046 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (/ 3 8) y)))