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

Average Error: 0.1 → 0.1

Time: 5.7s

Precision: 64

Math

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

↓

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

C

double f(double x, double y) {
        double r231004 = x;
        double r231005 = 3.0;
        double r231006 = 8.0;
        double r231007 = r231005 / r231006;
        double r231008 = y;
        double r231009 = r231007 * r231008;
        double r231010 = r231004 - r231009;
        return r231010;
}

↓

double f(double x, double y) {
        double r231011 = x;
        double r231012 = 3.0;
        double r231013 = 8.0;
        double r231014 = r231012 / r231013;
        double r231015 = y;
        double r231016 = r231014 * r231015;
        double r231017 = r231011 - r231016;
        return r231017;
}

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 2019353 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (/ 3 8) y)))