use the discrete version of sylvester

[wupeifan]

Attached is the results from judge.md

A ratio greater than 1.0 denotes a possible regression (marked with :x:), while a ratio less than 1.0 denotes a possible improvement (marked with :white_check_mark:). Only significant results - results that indicate possible regressions or improvements - are shown below (thus, an empty table means that all benchmark results remained invariant between builds).

ID	time ratio	memory ratio
["fvgq", "fvgq", "first_order"]	0.91 (5%) :white_check_mark:	1.00 (1%)
["fvgq", "fvgq", "second_order_no_cache"]	1.09 (5%) :x:	1.00 (1%)
["fvgq", "fvgq", "second_order_p"]	0.57 (5%) :white_check_mark:	1.00 (1%)
["rbc", "rbc_observables", "second_order_p"]	0.91 (5%) :white_check_mark:	0.99 (1%)
["sgu", "sgu", "first_order"]	0.91 (5%) :white_check_mark:	1.00 (1%)
["sgu", "sgu", "second_order_p"]	0.70 (5%) :white_check_mark:	1.01 (1%)

[codecov[bot]]

Codecov Report

Merging #76 (0e39c08) into main (5b281d3) will not change coverage. The diff coverage is 100.00%.

@@           Coverage Diff           @@
##             main      #76   +/-   ##
=======================================
  Coverage   68.24%   68.24%           
=======================================
  Files          12       12           
  Lines        1121     1121           
=======================================
  Hits          765      765           
  Misses        356      356           

Impacted Files	Coverage Δ
src/generate_perturbation_derivatives.jl	92.30% <100.00%> (ø)

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