variation.cpp

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#include "variation.h"
 
namespace Brush {
namespace Var {
 
 
using namespace Brush;
using namespace Pop;
using namespace MAB;

class PointMutation : public MutationBase
{
public:
    template<Brush::ProgramType T>
    static auto mutate(Program<T>& program, Iter spot, Variation<T>& variator,
                    const Parameters& params)
    {
        // get_node_like will sample a similar node based on node_map_weights or
        // terminal_weights, and maybe will return a Node.
 
        // cout << "point mutation" << std::endl;
        auto context = variator.get_context(program, spot);
        optional<Node> newNode = variator.bandit_get_node_like(spot.node->data, context);
 
        if (!newNode) // overload to check if newNode == nullopt
            return false;
 
        // if optional contains a Node, we access its contained value
        program.Tree.replace(spot, *newNode);
 
        return true;
    }
};

class InsertMutation : public MutationBase
{
public:
    template<Brush::ProgramType T>
    static auto find_spots(Program<T>& program, Variation<T>& variator,
                    const Parameters& params)
    {
        vector<float> weights;
 
        if (program.Tree.size() < params.get_max_size()) {
            Iter iter = program.Tree.begin();
            std::transform(program.Tree.begin(), program.Tree.end(), std::back_inserter(weights),
                        [&](const auto& n){ 
                            size_t d = 1+program.Tree.depth(iter);
                            std::advance(iter, 1);
 
                            // check if SS holds an operator to avoid failing `check` in sample_op_with_arg
                            if ((d >= params.get_max_depth())
                            ||  (variator.search_space.node_map.find(n.ret_type) == variator.search_space.node_map.end())) {
                                return 0.0f;
                            }
                            else {
                                return n.get_prob_change(); 
                            }
                        });
        }
        else {
            // fill the vector with zeros, since we're already at max_size
            weights.resize(program.Tree.size());
            std::fill(weights.begin(), weights.end(), 0.0f); 
        }
        
        return weights;
    }
 
    template<Brush::ProgramType T>
    static auto mutate(Program<T>& program, Iter spot, Variation<T>& variator,
                    const Parameters& params)
    {
        auto spot_type = spot.node->data.ret_type;
        
        // pick a random compatible node to insert (with probabilities given by
        // node_map_weights). The `-1` represents the node being inserted.
        // Ideally, it should always find at least one match (the same node
        // used as a reference when calling the function). However, we have a 
        // size restriction, which will be relaxed here (just as it is in the PTC2
        // algorithm). This mutation can create a new expression that exceeds the
        // maximum size by the highest arity among the operators.
        // cout << "insert mutation" << std::endl;
        auto context = variator.get_context(program, spot);
        std::optional<Node> n = variator.bandit_sample_op_with_arg(
            spot_type, spot_type, context, params.max_size-program.Tree.size()-1); 
 
        if (!n) // there is no operator with compatible arguments
            return false;
 
        // make node n wrap the subtree at the chosen spot
        auto parent_node = program.Tree.wrap(spot, *n);
 
        // now fill the arguments of n appropriately
        bool spot_filled = false;
        for (auto a: (*n).arg_types)
        {
            if (spot_filled)
            {
                // if spot is in its child position, append children.
                // auto context = variator.get_context<T>(program.Tree, spot);
                auto opt = variator.bandit_sample_terminal(a, context);
 
                if (!opt)
                    return false;
 
                program.Tree.append_child(parent_node, opt.value());
            }
            // if types match, treat this spot as filled by the spot node 
            else if (a == spot_type)
                spot_filled = true;
            // otherwise, add siblings before spot node
            else {        
                // auto context = variator.get_context<T>(program.Tree, spot);
                auto opt = variator.bandit_sample_terminal(a, context);
 
                if (!opt)
                    return false;
 
                program.Tree.insert(spot, opt.value());
            }
        } 
 
        return true;
    }
};

class DeleteMutation : public MutationBase
{
public:
    template<Brush::ProgramType T>
    static auto mutate(Program<T>& program, Iter spot, Variation<T>& variator,
                    const Parameters& params)
    {
        // sample_terminal will sample based on terminal_weights. If it succeeds, 
        // then the new terminal will be in `opt.value()`
 
        // cout << "delete mutation" << std::endl;
        auto context = variator.get_context(program, spot);
        auto opt = variator.bandit_sample_terminal(spot.node->data.ret_type, context); 
        
        if (!opt) // there is no terminal with compatible arguments
            return false;
 
        program.Tree.erase_children(spot); 
 
        program.Tree.replace(spot, opt.value());
 
        return true;
    }
};

class ToggleWeightOnMutation : public MutationBase
{
public:
    template<Brush::ProgramType T>
    static auto find_spots(Program<T>& program, Variation<T>& variator,
                    const Parameters& params)
    {
        vector<float> weights(program.Tree.size());
 
        if (program.Tree.size() < params.max_size) {
            std::transform(program.Tree.begin(), program.Tree.end(), weights.begin(),
                        [&](const auto& n){
                            // some nodetypes must always have a weight                            
                            if (Is<NodeType::OffsetSum>(n.node_type))
                                return 0.0f;
 
                            // only weighted nodes can be toggled off
                            if (!n.get_is_weighted()
                            &&  IsWeighable(n.node_type))
                            {
                                return n.get_prob_change();
                            }
                            else
                                return 0.0f; 
                        });
        }
        else {
            // fill the vector with zeros, since we're already at max_size
            std::fill(weights.begin(), weights.end(), 0.0f); 
        }
 
        return weights;
    }
 
    template<Brush::ProgramType T>
    static auto mutate(Program<T>& program, Iter spot, Variation<T>& variator,
                    const Parameters& params)
    {
        if (spot.node->data.get_is_weighted()==true // cant turn on whats already on
        ||  !IsWeighable(spot.node->data.node_type)) // does not accept weights (e.g. boolean)
            return false; // false indicates that mutation failed and should return std::nullopt
 
        spot.node->data.set_is_weighted(true);
        return true;
    }
};

class ToggleWeightOffMutation : public MutationBase
{
public:
    template<Brush::ProgramType T>
    static auto find_spots(Program<T>& program, Variation<T>& variator,
                    const Parameters& params)
    {
        vector<float> weights(program.Tree.size());
 
        std::transform(program.Tree.begin(), program.Tree.end(), weights.begin(),
                    [&](const auto& n){
                        // some nodetypes must always have a weight                            
                        if (Is<NodeType::OffsetSum>(n.node_type))
                            return 0.0f;
                            
                        if (n.get_is_weighted()
                        &&  IsWeighable(n.node_type))
                            return n.get_prob_change();
                        else
                            return 0.0f;
                    });
 
        return weights;
    }
 
    template<Brush::ProgramType T>
    static auto mutate(Program<T>& program, Iter spot, Variation<T>& variator,
                    const Parameters& params)
    {
        if (spot.node->data.get_is_weighted()==false) // TODO: This condition should never happen. Make sure it dont, then remove it. (this is also true for toggleweighton, also fix that)
            return false; 
 
        spot.node->data.set_is_weighted(false);
        return true;
    }
};

class SubtreeMutation : public MutationBase
{
public:
    template<Brush::ProgramType T>
    static auto find_spots(Program<T>& program, Variation<T>& variator,
                    const Parameters& params)
    {
        vector<float> weights;
 
        auto node_map = variator.search_space.node_map;
 
        if (program.Tree.size() < params.max_size) {
            Iter iter = program.Tree.begin();
            std::transform(program.Tree.begin(), program.Tree.end(), std::back_inserter(weights),
                        [&](const auto& n){ 
                            size_t d = program.Tree.depth(iter);
                            std::advance(iter, 1);
 
                            // we need to make sure there's some node to start the subtree
                            if ((d >= params.max_depth)
                            ||  (node_map.find(n.ret_type) == node_map.end()) )
                                return 0.0f;
                            else
                                return n.get_prob_change(); 
                        });
        }
        else {
            weights.resize(program.Tree.size());
            std::fill(weights.begin(), weights.end(), 0.0f); 
        }
        
        return weights;
    }
 
    template<Brush::ProgramType T>
    static auto mutate(Program<T>& program, Iter spot, Variation<T>& variator,
                    const Parameters& params)
    {
        // check if we exceeded the size/depth constrains (without subtracting,
        // to avoid overflow cases if the user sets max_size smaller than arity
        // of smallest operator. The overflow would happen when calculating d and
        // s in the following lines, to choose the PTC2 limits)
        if ( params.max_size  <= (program.Tree.size() - program.Tree.size(spot))
        ||   params.max_depth <= program.Tree.depth(spot) )
            return false;
 
        auto spot_type = spot.node->data.ret_type;
 
        // d and s must be compatible with PTC2 --- they should be based on 
        // tree structure, not program structure
        size_t d = params.max_depth - program.Tree.depth(spot);
        size_t s = params.max_size - (program.Tree.size() - program.Tree.size(spot));
 
        s = r.rnd_int(1, s+1);
 
        // sample subtree uses PTC2, which operates on depth and size of the tree<Node> 
        // (and not on the program!). we shoudn't care for weights here
        // cout<< "sampling subtree" << endl;
        auto subtree = variator.search_space.sample_subtree(spot.node->data, d, s); 
        // cout<< "Finish sampling" << endl;
 
        if (!subtree) // there is no terminal with compatible arguments
            return false;
 
        // cout<< "updating the tree" << endl;
        // if optional contains a Node, we access its contained value
        program.Tree.erase_children(spot); 
        // cout<< "erased" << endl;
 
        program.Tree.move_ontop(spot, subtree.value().begin());
        // cout<< "replaced" << endl;
 
        // cout<< "going to return" << endl;
        return true;
    }
};

class SplitMutation : public MutationBase
{
public:
    template<Brush::ProgramType T>
    static auto find_spots(Program<T>& program, Variation<T>& variator,
                    const Parameters& params)
    {
        vector<float> weights;
 
        if (program.Tree.size() < params.get_max_size()) {
            Iter iter = program.Tree.begin();
            std::transform(program.Tree.begin(), program.Tree.end(), std::back_inserter(weights),
                        [&](const auto& n){ 
                            size_t d = 1+program.Tree.depth(iter);
                            std::advance(iter, 1);
 
                            // check if SS holds an operator to avoid failing `check` in sample_op_with_arg
                            if (d >= params.get_max_depth()
                            ||  variator.search_space.node_map.find(n.ret_type) == variator.search_space.node_map.end()
                            // ||  check if n.ret_type can be splitted (e.g. DataType::ArrayF)
                            ) {
                                return 0.0f;
                            }
                            else {
                                return n.get_prob_change(); 
                            }
                        });
        }
        else {
            // fill the vector with zeros, since we're already at max_size
            weights.resize(program.Tree.size());
            std::fill(weights.begin(), weights.end(), 0.0f); 
        }
        
        return weights;
    }
 
    template<Brush::ProgramType T>
    static auto mutate(Program<T>& program, Iter spot, Variation<T>& variator,
                    const Parameters& params)
    {
        return false;
    }
};

template<Brush::ProgramType T>
std::tuple<std::optional<Individual<T>>, VectorXf> Variation<T>::cross(
    const Individual<T>& mom, const Individual<T>& dad) 
{
    /* subtree crossover between this and other, producing new Program */
    // choose location by weighted sampling of program
    // TODO: why doesn't this copy the search space reference to child?
    Program<T> child(mom.program);
 
    // pick a subtree to replace
    vector<float> child_weights(child.Tree.size());
 
    auto child_iter = child.Tree.begin();
    std::transform(child.Tree.begin(), child.Tree.end(), child_weights.begin(),
                [&](const auto& n){ 
                    auto s_at = child.size_at(child_iter);
                    auto d_at = child.depth_to_reach(child_iter);
 
                    std::advance(child_iter, 1);
 
                    if (s_at<parameters.max_size && d_at<parameters.max_depth)
                        return n.get_prob_change(); 
                    else
                        return 0.0f;
                }
    );
 
    if (std::all_of(child_weights.begin(), child_weights.end(), [](const auto& w) {
        return w<=0.0;
    }))
    { // There is no spot that has a probability to be selected
        return std::make_tuple(std::nullopt, VectorXf());
    }
    
    // pick a subtree to insert. Selection is based on other_weights
    Program<T> other(dad.program);
 
    int attempts = 0;
    while (++attempts <= 3)
    {
        auto child_spot = r.select_randomly(child.Tree.begin(), 
                                            child.Tree.end(), 
                                            child_weights.begin(), 
                                            child_weights.end()
                                        );
 
        auto child_ret_type = child_spot.node->data.ret_type;
 
        auto allowed_size  = parameters.max_size -
                            ( child.size() - child.size_at(child_spot) );
        auto allowed_depth = parameters.max_depth - 
                            ( child.depth_to_reach(child_spot) );
 
        vector<float> other_weights(other.Tree.size());
 
        // Iterator to traverse the tree during transformation
        auto other_iter = other.Tree.begin();
        std::transform(other.Tree.begin(), other.Tree.end(), other_weights.begin(),
            [&other, &other_iter, allowed_size, allowed_depth, child_ret_type](const auto& n) mutable {
                int s = other.size_at(other_iter);
                int d = other.depth_at(other_iter);
 
                std::advance(other_iter, 1);
 
                // Check feasibility and matching return type
                if (s <= allowed_size && d <= allowed_depth && n.ret_type == child_ret_type) {
                    return n.get_prob_change();
                }
 
                return 0.0f; // Non-feasible crossover point
            }
        );
        
        bool matching_spots_found = std::any_of(other_weights.begin(), other_weights.end(), 
                                        [](float w) { return w > 0.0f; });
 
        if (matching_spots_found) {
            // cout << "crossover" << std::endl;
            VectorXf context = get_context(child, child_spot);
       
            auto other_spot = r.select_randomly(
                other.Tree.begin(), 
                other.Tree.end(), 
                other_weights.begin(), 
                other_weights.end()
            );
                 
            // fmt::print("other_spot : {}\n",other_spot.node->data);
            // swap subtrees at child_spot and other_spot
            child.Tree.move_ontop(child_spot, other_spot);
            
            Individual<T> ind(child);
            ind.set_variation("cx"); // TODO: use enum here to make it faster
 
            return std::make_tuple(ind, context);
        }
    }
 
    return std::make_tuple(std::nullopt, VectorXf());
};

template<Brush::ProgramType T>
std::tuple<std::optional<Individual<T>>, VectorXf> Variation<T>::mutate(
    const Individual<T>& parent, string choice)
{
    if (choice.empty())
    {
        // cout << "Will sample a mut choice" << std::endl;
        auto options = parameters.mutation_probs;
 
        bool all_zero = true;
        for (auto &it : parameters.mutation_probs) {
            if (it.second > 0.0) {
                all_zero = false;
                break;
            }
        }
 
        if (all_zero) { // No mutation can be successfully applied to this solution  
            return std::make_tuple(std::nullopt, VectorXf());
        }
        
        // picking a valid mutation option
        choice = r.random_choice(parameters.mutation_probs);
    }
    
    // cout << "Mutation choice: " << choice << std::endl;
 
    Program<T> copy(parent.program);
 
    vector<float> weights; // choose location by weighted sampling of program
    if (choice.compare("point") == 0) // TODO: use enum here to optimize
        weights = PointMutation::find_spots(copy, (*this), parameters);
    else if (choice.compare("insert") == 0)
        weights = InsertMutation::find_spots(copy, (*this), parameters);
    else if (choice.compare("delete") == 0)
        weights = DeleteMutation::find_spots(copy, (*this), parameters);
    else if (choice.compare("subtree") == 0)
        weights = SubtreeMutation::find_spots(copy, (*this), parameters);
    else if (choice.compare("toggle_weight_on") == 0)
        weights = ToggleWeightOnMutation::find_spots(copy, (*this), parameters);
    else if (choice.compare("toggle_weight_off") == 0)
        weights = ToggleWeightOffMutation::find_spots(copy, (*this), parameters);
    else {
        std::string msg = fmt::format("{} not a valid mutation choice", choice);
        HANDLE_ERROR_THROW(msg);
    }
 
    if (std::all_of(weights.begin(), weights.end(), [](const auto& w) {
        return w<=0.0;
    }))
    { // There is no spot that has a probability to be selected
        return std::make_tuple(std::nullopt, VectorXf());
    }
    VectorXf context = {};
 
    int attempts = 0;
    while(++attempts <= 3)
    {
        // cout<< "Attempt: " << attempts << std::endl;
        Program<T> child(parent.program);
 
        // apply the mutation and check if it succeeded
        auto spot = r.select_randomly(child.Tree.begin(), child.Tree.end(),
                                      weights.begin(), weights.end());
 
        // Every mutation here works inplace, so they return bool instead of
        // std::optional to indicare the result of their manipulation over the
        // program tree. Here we call the mutation function and return the result
        
        // cout<< "mutate()" << std::endl;
        context = get_context(child, spot);
 
        bool success;
        if (choice.compare("point") == 0)
            success = PointMutation::mutate(child, spot, (*this), parameters);
        else if (choice.compare("insert") == 0)
            success = InsertMutation::mutate(child, spot, (*this), parameters);
        else if (choice.compare("delete") == 0)
            success = DeleteMutation::mutate(child, spot, (*this), parameters);
        else if (choice.compare("subtree") == 0)
            success = SubtreeMutation::mutate(child, spot, (*this), parameters);
        else if (choice.compare("toggle_weight_on") == 0)
            success = ToggleWeightOnMutation::mutate(child, spot, (*this), parameters);
        else // it must be"toggle_weight_off"
            success = ToggleWeightOffMutation::mutate(child, spot, (*this), parameters);
 
        // cout<< "Mutation returned " << success << std::endl;
        if (success
        && ( (child.size()  <= parameters.max_size)
        &&   (child.depth() <= parameters.max_depth) )){
            // cout<< "Mutation succeeded on attempt " << attempts << std::endl;
        
            Individual<T> ind(child);
            // cout<< "new ind program " << child.get_model() << std::endl;
            ind.set_variation(choice);
            // cout<< "set variation " << choice << std::endl;
 
            // subtree performs several samplings, and it will leverate
            // what point/insert/delete mutations learned about each node utility.
 
            // TODO: handle subtree - it will sample too many nodes and it may
            // be hard to track which ones actually improved the expression to
            // update the bandits/ maybe we should skip it?
            // mutations that sampled from search space
            if (choice.compare("point")   == 0
            ||  choice.compare("insert")  == 0
            ||  choice.compare("delete")  == 0
            // ||  choice.compare("subtree") == 0 // TODO: disable this one
            ) {
                // cout<< "setting sampled nodes " << spot.node->data.name << std::endl;
                ind.set_sampled_nodes({spot.node->data});
            }
 
            // cout<< "returning..." << std::endl;
            return std::make_tuple(ind, context);
        }
        else { // reseting 
            // cout<< "Mutation failed on attempt " << attempts << std::endl;
        }
    }
 
    return std::make_tuple(std::nullopt, context);
};
 
template<Brush::ProgramType T>
void Variation<T>::vary(Population<T>& pop, int island, 
                        const vector<size_t>& parents)
{    
    auto indices = pop.get_island_indexes(island);
 
    for (unsigned i = 0; i<indices.size(); ++i)
    {
        if (pop.individuals.at(indices.at(i)) != nullptr)
        {
            continue; // skipping if it is an individual
        }
        
        // pass check for children undergoing variation     
        std::optional<Individual<T>> opt=std::nullopt; // new individual  
            
        const Individual<T>& mom = pop[
            *r.select_randomly(parents.begin(), parents.end())];
    
        vector<Individual<T>> ind_parents;
        VectorXf context = {};
        
        bool crossover = ( r() < parameters.cx_prob );
        if (crossover)
        {
            const Individual<T>& dad = pop[
                *r.select_randomly(parents.begin(), parents.end())];
            
            auto variation_result = cross(mom, dad);
            ind_parents = {mom, dad};
            tie(opt, context) = variation_result;
        }
        else
        {
            // cout << "Performing mutation " << std::endl;
            auto variation_result = mutate(mom);   
            // cout << "finished mutation" << endl;
            ind_parents = {mom};
            tie(opt, context) = variation_result;
            // cout << "unpacked" << endl;
        }
    
        // this assumes that islands do not share indexes before doing variation
        unsigned id = parameters.current_gen*parameters.pop_size+indices.at(i);
 
        // mutation and crossover already perform 3 attempts. If it fails, we just fill with a random individual
        
        Individual<T> ind;
        if (opt) // variation worked, lets keep this
        {
            ind = opt.value();
            ind.set_parents(ind_parents);
        }
        else {  // no optional value was returned. creating a new random individual
            // It seems that the line below will not fix the root in clf programs
            ind.init(search_space, parameters); // ind.variation is born by default
        
            // Program<T> p = search_space.make_program<Program<T>>(parameters, 0, 0);
            // ind = Individual<T>(p);
        }
 
        ind.set_objectives(mom.get_objectives()); // it will have an invalid fitness
 
        ind.is_fitted_ = false;
        ind.set_id(id);
 
        // TODO: smarter way of copying the entire fitness
        // copying mom fitness to the new individual (without making the fitnes valid)
        // so the bandits can access this information. Fitness will be valid
        // only when we do set_values(). We are setting these parameters below
        // because we want to keep the previous values for the bandits, and
        // we are not updating the fitness values here.
        ind.fitness.set_loss(mom.fitness.get_loss());
        ind.fitness.set_loss_v(mom.fitness.get_loss_v());
        ind.fitness.set_size(mom.fitness.get_size());
        ind.fitness.set_complexity(mom.fitness.get_complexity());
        ind.fitness.set_linear_complexity(mom.fitness.get_linear_complexity());
        ind.fitness.set_depth(mom.fitness.get_depth());
 
        // dont set stuff that is not used to calculate the rewards, like crowding_dist
        // ind.fitness.set_crowding_dist(0.0);
        
        assert(ind.program.size()>0);
        assert(ind.fitness.valid()==false);
 
        pop.individuals.at(indices.at(i)) = std::make_shared<Individual<T>>(ind);
    }
};
 
template <Brush::ProgramType T>
void Variation<T>::update_ss()
{
    // propagate bandits learnt information to the search space.
    // TODO: not all arms are initialized, if the user set something to zero then we must
    // disable it. So, during update, we need to properly handle these skipped arms. --> remove this for nodes, allow it just for variations. If the user doesnt want to use a feature or op, he should not set it at the first place. We need to do this with variations because the user 
    // can choose it directly instead of letting brush to figure out.
 
    // variation: getting new probabilities for variation operators
    auto variation_probs = variation_bandit.sample_probs(true);
 
    // cout << "Variation probabilities:" << std::endl;
    // for (const auto& variation : variation_probs) {
    //     std::cout << " - " << variation.first << ": " << variation.second << std::endl;
    // }
 
    if (variation_probs.find("cx") != variation_probs.end())
        parameters.set_cx_prob(variation_probs.at("cx"));
    
    for (const auto& variation : variation_probs)
        if (variation.first != "cx")
            parameters.mutation_probs[variation.first] = variation.second;
            
    // terminal: getting new probabilities for terminal nodes in search space
    for (auto& bandit : terminal_bandits) {
        auto datatype = bandit.first;
        
        auto terminal_probs = bandit.second.sample_probs(true);
        // cout << "Terminal probabilities for datatype " << std::endl;
        for (auto& terminal : terminal_probs) {
            // cout << " - " << terminal.first << ": " << terminal.second << std::endl;
 
            auto terminal_name = terminal.first;
            auto terminal_prob = terminal.second;
 
            // Search for the index that matches the terminal name
            auto it = std::find_if(
                search_space.terminal_map.at(datatype).begin(),
                search_space.terminal_map.at(datatype).end(), 
                [&](auto& node) { return node.get_feature() == terminal_name; });
 
            // if (it != search_space.terminal_map.at(datatype).end()) {
                auto index = std::distance(search_space.terminal_map.at(datatype).begin(), it);
 
                // Update the terminal weights with the second value
                search_space.terminal_weights.at(datatype)[index] = terminal_prob;
            // }
        }
    }
 
    // operators: getting new probabilities for op nodes
    for (auto& [ret_type, bandit_map] : op_bandits) {
        for (auto& [args_type, bandit] : bandit_map) {
            auto op_probs = bandit.sample_probs(true);
 
            for (auto& [op_name, op_prob] : op_probs) {
                // cout << " - " << op_name << ": " << op_prob << std::endl;
 
                for (const auto& [node_type, node_value]: search_space.node_map.at(ret_type).at(args_type))
                {
                    // cout << " - Node name: " << node_value.name << std::endl;
                    if (node_value.name == op_name) {
                        // cout << "match" << endl;
                        search_space.node_map_weights.at(ret_type).at(args_type).at(node_type) = op_prob;
                    }
                }
            }
        }
    }
    
    // cout << "inside update_ss(). Parameters probs:" << std::endl;
    // cout << "cx: " << parameters.get_cx_prob() << std::endl;
    // for (const auto& [name, prob] : parameters.get_mutation_probs())
    //     std::cout << name << ": " << prob << std::endl;
 
    // cout << "Search Space:" << std::endl;
    // search_space.print();
};
 
} //namespace Var
} //namespace Brush