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

Average Error: 0.1 → 0.1

Time: 3.2s

Precision: 64

Math

\[x - \left(y \cdot 4\right) \cdot z\]

↓

\[x - \left(y \cdot 4\right) \cdot z\]

C

double f(double x, double y, double z) {
        double r205310 = x;
        double r205311 = y;
        double r205312 = 4.0;
        double r205313 = r205311 * r205312;
        double r205314 = z;
        double r205315 = r205313 * r205314;
        double r205316 = r205310 - r205315;
        return r205316;
}

↓

double f(double x, double y, double z) {
        double r205317 = x;
        double r205318 = y;
        double r205319 = 4.0;
        double r205320 = r205318 * r205319;
        double r205321 = z;
        double r205322 = r205320 * r205321;
        double r205323 = r205317 - r205322;
        return r205323;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Derivation

1. Initial program 0.1

   \[x - \left(y \cdot 4\right) \cdot z\]

2. Final simplification 0.1

   \[\leadsto x - \left(y \cdot 4\right) \cdot z\]

Reproduce

herbie shell --seed 2020001 +o rules:numerics
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (* y 4) z)))