This uses the RV$32$I instruction set in the RARS simulator. Please help me understand why my code does not work:

$.$data

input$\_$raw:

$.$word $0$ # Placeholder for the input value $($input$\_$raw$)$

$.$text

$.$globl main

main:

# $($A$)$ Read input value $(10$ points$)$

li a$7,5$ # Syscall for reading an integer $($a$7=5)$

ecall # Read the integer from the console $($result in a$0)$

la t$4,$ input$\_$raw # Load address of input$\_$raw into t$4$

sw a$0,0($t$4)$ # Store the input into input$\_$raw $($already in fixed$-$point format$)$

# Load the input$\_$raw value $($fixed$-$point format$)$

lw t$4,0($t$4)$ # t$4$ now contains the input$\_$raw value $($unsigned interpretation$)$

# Initialize registers

li t$0,0$ # t$0=$ guess $($initial guess is $0)$

li t$1,4194304$ # t$1=$ initial step $(256*2^14$ for fixed$-$point$)$

loop:

# $($B$)$ Square the guess and shift result $(10$ points$)$

add t$3,$ t$0,$ t$1$ # t$3=$ t$0+$ t$1($current guess$)$

mul t$5,$ t$3,$ t$3$ # t$5=($t$0+$ t$1)^2($lower $32$ bits$)$

srli t$5,$ t$5,14$ # t$5=$ t$5>>14($adjust for $14$ fractional bits$)$

# $($C$)$ Compare guess with input value $(20$ points$)$

bltu t$5,$ t$4,$ increase$\_$guess # If t$5$ input$\_$raw, increase guess

bgeu t$5,$ t$4,$ decrease$\_$guess # If t$5>=$ input$\_$raw, decrease guess

increase$\_$guess:

# $($D$)$ Add to guess $(20$ points$)$

add t$0,$ t$0,$ t$1$ # t$0=$ t$0+$ t$1($increase guess$)$

j halve$\_$step # Go to halve$\_$step

decrease$\_$guess:

# $($D$)$ Subtract from guess $(20$ points$)$

sub t$0,$ t$0,$ t$1$ # t$0=$ t$0-$ t$1($decrease guess$)$

halve$\_$step:

# $($E$)$ Shift step $(10$ points$)$

srli t$1,$ t$1,1$ # t$1=$ t$1>>1($halve step size$)$

# $($F$)$ Loop until step becomes $0(20$ points$)$

bnez t$1,$ loop # If t$1!=0,$ continue looping

# $($G$)$ Print final guess $(10$ points$)$

done:

mv a$0,$ t$0$ # Move the final guess $($output$\_$raw$)$ to a$0$

li a$7,1$ # Syscall for printing an integer $($a$7=1)$

ecall # Print the final square root in raw format

# Exit the program

li a$7,10$ # Syscall for exit $($a$7=10)$

ecall