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

Average Error: 0.1 → 0.1

Time: 12.5s

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 r278525 = x;
        double r278526 = 3.0;
        double r278527 = 8.0;
        double r278528 = r278526 / r278527;
        double r278529 = y;
        double r278530 = r278528 * r278529;
        double r278531 = r278525 - r278530;
        return r278531;
}

↓

double f(double x, double y) {
        double r278532 = x;
        double r278533 = 3.0;
        double r278534 = 8.0;
        double r278535 = r278533 / r278534;
        double r278536 = y;
        double r278537 = r278535 * r278536;
        double r278538 = r278532 - r278537;
        return r278538;
}

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)))