chain_eval: kuramoto_sivashinsky +4 seed rows

csv_adam_soap/kuramoto_sivashinsky.csv

@@ -5,3 +5,4 @@ run_timestamp,pde_name,value_type,smoke_test,chain_key,seed,mse_op,mse_bnd,mse_t
 2026-08-11T07:47:42,kuramoto_sivashinsky,soap,False,adam_soap,46,1.0123467128440922,0.706757098590117,1.7191038114342092,0.9430612325668335,0.7879711985588074,1.2289276211920206,1.7310324311256409,5045.2,"[{""optimizer"": ""Adam"", ""lr"": 0.001, ""epochs"": 1000}, {""optimizer"": ""SOAP"", ""lr"": 0.003, ""epochs"": 30000, ""precondition_frequency"": 2}]"
 2026-08-11T07:48:13,kuramoto_sivashinsky,soap,False,adam_soap,45,1.3465990627083926,1.1160891410217033,2.462688203730096,1.087663173675537,0.9902040362358093,1.4708892591720253,2.0778672099113464,5074.2,"[{""optimizer"": ""Adam"", ""lr"": 0.001, ""epochs"": 1000}, {""optimizer"": ""SOAP"", ""lr"": 0.003, ""epochs"": 30000, ""precondition_frequency"": 2}]"
 2026-08-11T09:12:09,kuramoto_sivashinsky,soap,False,adam_soap,47,1.364581821036964,1.139076535510469,2.503658356547433,1.094901442527771,1.0003494024276733,1.4830738672725634,2.0952508449554443,5055.1,"[{""optimizer"": ""Adam"", ""lr"": 0.001, ""epochs"": 1000}, {""optimizer"": ""SOAP"", ""lr"": 0.003, ""epochs"": 30000, ""precondition_frequency"": 2}]"
+2026-08-11T09:12:59,kuramoto_sivashinsky,soap,False,adam_soap,48,1.3538511440384013,1.1464899859800113,2.5003411300184126,1.0905879735946655,1.0035994052886963,1.4820910547078894,2.094187378883362,5074.0,"[{""optimizer"": ""Adam"", ""lr"": 0.001, ""epochs"": 1000}, {""optimizer"": ""SOAP"", ""lr"": 0.003, ""epochs"": 30000, ""precondition_frequency"": 2}]"