flopscope.

flopscope.accounting.multi_dot_cost

flopscope.accounting.multi_dot_cost(shapes)[flopscope source]

Weighted FLOP cost of optimal matrix chain multiplication.

Parameters

shapes:Sequence[Sequence[int]]

Operand shapes in the same order as the einsum operands.

Returns

:int

Weighted public cost estimate, floored to match runtime accounting.

Notes

This helper multiplies the analytical FLOP count by the active weight from flopscope._weights and then applies int(...) so public estimates match budget deductions.

Uses dynamic programming for optimal parenthesization. Source: Cormen et al., Introduction to Algorithms (CLRS), §15.2.