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 r8104140 = x;
        double r8104141 = 3.0;
        double r8104142 = 8.0;
        double r8104143 = r8104141 / r8104142;
        double r8104144 = y;
        double r8104145 = r8104143 * r8104144;
        double r8104146 = r8104140 - r8104145;
        return r8104146;
}

↓

double f(double x, double y) {
        double r8104147 = x;
        double r8104148 = 3.0;
        double r8104149 = 8.0;
        double r8104150 = r8104148 / r8104149;
        double r8104151 = y;
        double r8104152 = r8104150 * r8104151;
        double r8104153 = r8104147 - r8104152;
        return r8104153;
}

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 2019168 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  (- x (* (/ 3.0 8.0) y)))