remove search bar and magnifying glass icon

I used this code to remove search bar from any and all pages and posts and it does work, BUT it still shows the 'magnifying glass' icon for search, please help. thank you
#sub_header .st-title-wrap {
padding-bottom: 90px;
}
.st-title-wrap #searchForm .search-form .search-field {
display: none;
}
.st-title-wrap button#searchsubmit button#searchsubmit {
display: none;
}