g++ O1 is not equal to O0 with all related optimization flags

I know the title is a bit confusing. Let me clarify my problem with a little background:

My program behaves strangely when I compile it with -O1 flag vs -O0 flag in terms of execution time. I know -O1 flag does many optimizations such as fauto-inc-dec -fbranch-count-reg -fcombine-stack-adjustments (More than 40 according to the man page). To figure out which optimization(s) cause this behavior, I plan to remove flags one at a time then compile and test to see if something changes.

Before doing this experiment, I want to make sure that the program compiled with -O1 and the program compiled with -O0 plus all flags which -O1 enables (Lets call -O0+) behave similarly. Actually, I expect both method should produce the same binary file since the same optimization flags are enabled.

Compilation with O1

CC = g++

CFLAGS = -std=c++11 -Wall -fopenmp
SOURCE = a_count_f.cpp
EXEC = run
INC = inc

all: $(EXEC)
.PHONY: all

$(EXEC): $(SOURCE)
    $(CC) $(CFLAGS) -O1 -o $(EXEC) -I$(INC) $^

Compilation with O0+

CC = g++

CFLAGS = -std=c++11 -Wall -fopenmp
SOURCE = a_count_f.cpp
EXEC = run
INC = inc

OPT_FLAGS = -fauto-inc-dec -fbranch-count-reg -fcombine-stack-adjustments -fcompare-elim -fcprop-registers -fdce -fdefer-pop -ftree-builtin-call-dce -fdse -fforward-propagate -fguess-branch-probability -fif-conversion2 -fif-conversion -finline-functions-called-once -fipa-pure-const -fipa-profile -fipa-reference -fmerge-constants -fmove-loop-invariants -fomit-frame-pointer -freorder-blocks -fshrink-wrap -fshrink-wrap-separate -fsplit-wide-types -fssa-backprop -fssa-phiopt -ftree-bit-ccp -ftree-ccp -ftree-ch -ftree-coalesce-vars -ftree-copy-prop -ftree-dce -ftree-dominator-opts -ftree-dse -ftree-forwprop -ftree-fre -ftree-phiprop -ftree-scev-cprop -ftree-sink -ftree-slsr -ftree-sra -ftree-pta -ftree-ter -funit-at-a-time

all: $(EXEC)
.PHONY: all

$(EXEC): $(SOURCE)
    $(CC) $(CFLAGS) -O0 $(OPT_FLAGS) -o $(EXEC) -I$(INC) $^

However, It turned out -O1 and -O0+ give quite different result. Despite of all optimizations differences, -O0 and -O0+ give very similar results. (By results, I mean execution time)

I have checked both compilation with -Q --help=optimizers and the output confirmed that both enables the same flags.

The next for me is to compare assembly codes. Before doing that, I want to ask it here if anyone has an idea why this happens. I didn't include the source code as it seems the problem is not related to source code. But, I can attach it if needed.

g++ version : g++ (Ubuntu 7.3.0-27ubuntu1~18.04) 7.3.0