Rails】form_withを使用し検索機能を実装中ですが、検索後にページの遷移が行われません、、、知恵を貸してください。

config/routes.rb

Rails.application.routes.draw do
  devise_for :users
  root to: 'posts#index'
  resources :posts do
    resources :comments, only: :create
    collection do
      get 'search'
    end
  end
  resources :users, only: :show
end

app/controllers/posts_controller.rb

def search
    @posts = Post.search(params[:keyword])

-- ここより下は検索機能の実装時に記述しました --

    return nil if params[:input] == ""
    tag = Tag.where(['name LIKE ?', "%#{params[:input]}%"] )
    render json:{ keyword: tag }
  end

app/models/post.rb

class Post < ApplicationRecord

  has_many :post_tag_relations
  has_many :tags, through: :post_tag_relations
  belongs_to :user
  has_one_attached :image
  has_many :comments

  def self.search(search)
    if search != ""
      Post.where('text LIKE(?)', "%#{search}%")
    else
      Post.all
    end
  end
end

<form class="form-inline my-2 my-lg-0">
  <%= form_with(url: search_posts_path, local: true, method: :get) do |form| %>
　　<%= form.text_field :keyword, placeholder: "投稿を検索する", class: "form-control mr-sm-2" %>
   　<%= form.submit "検索", class: "nav-alink btn btn-outline-secondary mr-2" %>
   <% end %>
 </form>

<div class="contents row">
  <% @post.each do |post| %>
  <div class="col-md-4 mt-5">
      <div class="card text-center">
        <%= image_tag post.image, size: "100x200", class: "card-img-top" %>
            <h4 class="card-text"><%= post.title %></h4>
            <p class="card-text text-truncate"><%= post.text %></p>
            <ul class="tag">
            <li class="tag-list">
            <% post.tags.each do |tag| %> 
            #<%=tag.name%>
            <%end%> </li>
            </ul>
            <%= link_to "詳細ページへ", post_path(post.id), method: :get, class: "btn btn-outline-secondary  btn-block" %>
        </div>
      </div>
  <% end %>
</div>