Average Error: 0.3 → 0.3
Time: 28.6s
Precision: 64
Internal Precision: 384
\[\left(x \cdot 27.0\right) \cdot y\]
↓
\[x \cdot \left(27.0 \cdot y\right)\]

Error

Bits error versus x

Bits error versus y

Derivation

  1. Initial program 0.3

    \[\left(x \cdot 27.0\right) \cdot y\]
  2. Using strategy rm

  3. Applied associate-*l*0.3

    \[\leadsto \color{blue}{x \cdot \left(27.0 \cdot y\right)}\]
  4. Removed slow pow expressions.

Runtime

Time bar (total: 28.6s)Debug log

herbie shell --seed '#(1567391828 2030694642 2833800258 828025724 3004380912 3532991858)' +o setup:early-exit +o reduce:binary-search
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:cubForm  from diagrams-solve-0.1, F"
  (* (* x 27.0) y))