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

Average Error: 0.1 → 0.1

Time: 3.8s

Precision: 64

Math

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

↓

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

C

double f(double x, double y, double z) {
        double r7948175 = x;
        double r7948176 = y;
        double r7948177 = 4.0;
        double r7948178 = r7948176 * r7948177;
        double r7948179 = z;
        double r7948180 = r7948178 * r7948179;
        double r7948181 = r7948175 - r7948180;
        return r7948181;
}

↓

double f(double x, double y, double z) {
        double r7948182 = x;
        double r7948183 = 4.0;
        double r7948184 = y;
        double r7948185 = r7948183 * r7948184;
        double r7948186 = z;
        double r7948187 = r7948185 * r7948186;
        double r7948188 = r7948182 - r7948187;
        return r7948188;
}

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

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

Reproduce

herbie shell --seed 2019192 +o rules:numerics
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, A"
  (- x (* (* y 4.0) z)))