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

Average Error: 0.1 → 0.1

Time: 17.9s

Precision: 64

Math

\[x - \frac{3.0}{8.0} \cdot y\]

↓

\[x - \frac{3.0}{8.0} \cdot y\]

C

double f(double x, double y) {
        double r13430015 = x;
        double r13430016 = 3.0;
        double r13430017 = 8.0;
        double r13430018 = r13430016 / r13430017;
        double r13430019 = y;
        double r13430020 = r13430018 * r13430019;
        double r13430021 = r13430015 - r13430020;
        return r13430021;
}

↓

double f(double x, double y) {
        double r13430022 = x;
        double r13430023 = 3.0;
        double r13430024 = 8.0;
        double r13430025 = r13430023 / r13430024;
        double r13430026 = y;
        double r13430027 = r13430025 * r13430026;
        double r13430028 = r13430022 - r13430027;
        return r13430028;
}

Error

Bits error versus x

Bits error versus y

Derivation

1. Initial program 0.1

   \[x - \frac{3.0}{8.0} \cdot y\]

2. Final simplification 0.1

   \[\leadsto x - \frac{3.0}{8.0} \cdot y\]

Reproduce

herbie shell --seed 2019163 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  (- x (* (/ 3.0 8.0) y)))