Update multistart solver, add method for multistart NLP initialization

pyomo/contrib/multistart/high_conf_stop.py

@@ -17,6 +17,7 @@
 
 from collections import Counter
 from math import log, sqrt
+import logging
 
 
 def num_one_occurrences(observed_obj_vals, tolerance):
@@ -59,4 +60,7 @@ def should_stop(solutions, stopping_mass, stopping_delta, tolerance):
     d = stopping_delta
     c = stopping_mass
     confidence = f / n + (2 * sqrt(2) + sqrt(3)) * sqrt(log(3 / d) / n)
+    # Add temporary logger
+    logging.info(f"Number of solutions [n]:{n}; Optima viewed once [f]:{f}; \
+    Confidence:{confidence}")
     return confidence < c