Sample answers for the given trace when simulating the first 25 instructions:

Forwarding EX/MEM to ID/EX for instructions 1 to 2
Forwarding EX/MEM to ID/EX for instructions 3 to 4
Load stall for 1 cycle at instruction 5
Forwarding MEM/WB to ID/EX for instructions 4 to 5
Forwarding MEM/WB to ID/EX for instructions 5 to 7
Forwarding EX/MEM to ID/EX for instructions 7 to 8
Forwarding EX/MEM to ID/EX for instructions 8 to 9
Load stall for 1 cycle at instruction 13
Forwarding MEM/WB to ID/EX for instructions 12 to 13
Forwarding EX/MEM to ID/EX for instructions 14 to 15
Branch stall for 2 cycles at instruction 17
Forwarding EX/MEM to ID/EX for instructions 15 to 16
Load stall for 1 cycle at instruction 18
Forwarding MEM/WB to ID/EX for instructions 17 to 18
Forwarding EX/MEM to ID/EX for instructions 19 to 20
Branch stall for 2 cycles at instruction 22
Forwarding EX/MEM to ID/EX for instructions 20 to 21
Load stall for 1 cycle at instruction 23
Forwarding MEM/WB to ID/EX for instructions 22 to 23
Forwarding EX/MEM to ID/EX for instructions 24 to 25
Number of cycles: 37
Stalled for a total of 8 cycles
Forwarded 14 times
Distribution of opcodes:
ADD:  4
SLL:  1
SLT:  3
ADDI: 7
ORI:  1
LUI:  2
LW:   5
BNE:  2

This is the first 25 instructions of the disassembled trace: 

1		lui	$1,4097			#la	$a0,array
2		ori	$4,$1,124
3		lui	$1,4097			#lw	$a1,size
4		lw	$5,120($1)
5                sll	$5,$5,2			#sll 	$a1,$a1,2
6		addi	$8,$0,0			#addi	$t0,$t0,0
7		addi	$9,$5,-4                #addi	$t1,$a1,-4
8		add	$6,$4,$9		#add	$a2,$a0,$t1
9		lw      $9,0($6)		#lw     $t1,0($a2)
10		addi	$13,$0,0		#addi	$t5,$0,0
11		addi    $12,$0,0		#addi	$t4,$0,0
12	        lw	$16,0($6)		#lw	$s0,0($a2)
13		add     $8,$8,$16		#add    $t0,$t0,$s0
14		addi	$12,$12,4		#addi	$t4,$t4,4
15		slt	$1,$12,$5		#blt	$t4,$a1,loop
16              bne	$1,$10,-5
17	        lw	$16,0($6)		#lw	$s0,0($a2)
18		add     $8,$8,$16		#add    $t0,$t0,$s0
19		addi	$12,$12,4		#addi	$t4,$t4,4
20		slt	$1,$12,$5		#blt	$t4,$a1,loop
21              bne	$1,$10,-5
22	        lw	$16,0($6)		#lw	$s0,0($a2)
23		add     $8,$8,$16		#add    $t0,$t0,$s0
24		addi	$12,$12,4		#addi	$t4,$t4,4
25		slt	$1,$12,$5		#blt	$t4,$a1,loop

Note that the actual source program only had one loop:
1		lui	$1,4097			#la	$a0,array
2		ori	$4,$1,124
3		lui	$1,4097			#lw	$a1,size
4		lw	$5,120($1)
5                sll	$5,$5,2			#sll 	$a1,$a1,2
6		addi	$8,$0,0			#addi	$t0,$t0,0
7		addi	$9,$5,-4                #addi	$t1,$a1,-4
8		add	$6,$4,$9		#add	$a2,$a0,$t1
9		lw      $9,0($6)		#lw     $t1,0($a2)
10		addi	$13,$0,0		#addi	$t5,$0,0
11		addi    $12,$0,0		#addi	$t4,$0,0
12	loop:   lw	$16,0($6)		#lw	$s0,0($a2)
13		add     $8,$8,$16		#add    $t0,$t0,$s0
14		addi	$12,$12,4		#addi	$t4,$t4,4
15		slt	$1,$12,$5		#blt	$t4,$a1,loop
16              bne	$1,$10,loop

Its purpose was to multiply the last element of an array by the number
of elements in the array.