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

Average Error: 0.1 → 0.1

Time: 5.9s

Precision: 64

Math

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

↓

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

C

double f(double x, double y) {
        double r221017 = x;
        double r221018 = 3.0;
        double r221019 = 8.0;
        double r221020 = r221018 / r221019;
        double r221021 = y;
        double r221022 = r221020 * r221021;
        double r221023 = r221017 - r221022;
        return r221023;
}

↓

double f(double x, double y) {
        double r221024 = x;
        double r221025 = 3.0;
        double r221026 = 8.0;
        double r221027 = r221025 / r221026;
        double r221028 = y;
        double r221029 = r221027 * r221028;
        double r221030 = r221024 - r221029;
        return r221030;
}

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 2020036 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (/ 3 8) y)))