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

Average Error: 0.1 → 0.1

Time: 711.0ms

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 r222119 = x;
        double r222120 = y;
        double r222121 = 4.0;
        double r222122 = r222120 * r222121;
        double r222123 = z;
        double r222124 = r222122 * r222123;
        double r222125 = r222119 - r222124;
        return r222125;
}

↓

double f(double x, double y, double z) {
        double r222126 = x;
        double r222127 = y;
        double r222128 = 4.0;
        double r222129 = r222127 * r222128;
        double r222130 = z;
        double r222131 = r222129 * r222130;
        double r222132 = r222126 - r222131;
        return r222132;
}

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 2020035 +o rules:numerics
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (* y 4) z)))