$wpdb->query() vs. $wpdb->get_results() vs. phpMyAdmin

I have this code:

$query = "SELECT * 
            FROM $wpdb->posts
                INNER JOIN $wpdb->postmeta 
                    ON $wpdb->posts.ID = $wpdb->postmeta.post_id
                INNER JOIN $wpdb->term_relationships 
                    ON $wpdb->posts.ID = $wpdb->term_relationships.object_id
            WHERE ((post_type = 'projects') OR (post_type = 'post_cost_codes'));";

$results = $wpdb->query($query); // Takes 1.5 seconds

I also tried this:

$query = "SELECT * 
            FROM $wpdb->posts
                INNER JOIN $wpdb->postmeta 
                    ON $wpdb->posts.ID = $wpdb->postmeta.post_id
                INNER JOIN $wpdb->term_relationships 
                    ON $wpdb->posts.ID = $wpdb->term_relationships.object_id
            WHERE ((post_type = 'projects') OR (post_type = 'post_cost_codes'));";

$results = $wpdb->get_results($query); // Still takes 1.5 seconds

But when I grab the query and put it in phpmyadmin:

(18588 total, Query took 0.0102 seconds.)
SELECT * FROM wp_dev_posts, wp_dev_postmeta, wp_dev_term_relationships WHERE ((post_type = 'projects') OR (post_type = 'post_cost_codes')) AND (wp_dev_posts.ID = wp_dev_postmeta.post_id) AND (wp_dev_posts.ID = wp_dev_term_relationships.object_id)
// Takes 0.0102 seconds

Why do both $wpdb methods take so much longer? The same query is copy and pasted directly on phpmyadmin, it takes the expected amount of time.