Trying to tweak the boost spirit x3 calc example to parse functions that can take functions as arguments. However it does not compile.
namespace client{ namespace ast{
    struct ts;
    struct fnc;
    typedef boost::variant<
    ts,
    boost::recursive_wrapper<fnc>
    > node;
    struct ts{
        unsigned int id;
    };
    struct fnc{
        std::vector<char> id;
        std::vector<node> args;
    };
}}
BOOST_FUSION_ADAPT_STRUCT(
    client::ast::ts,
    (unsigned int, id)
)
BOOST_FUSION_ADAPT_STRUCT(
    client::ast::fnc,
    (std::vector<char>, id)
    (std::vector<client::ast::node>, args)
)
namespace client{
    namespace x3 = boost::spirit::x3;
    namespace calc_grammar{
        using x3::uint_;
        using x3::alpha;
        using x3::alnum;
        using x3::lit;
        using x3::char_;
        x3::rule<class funct, ast::fnc> const funct("function");
        x3::rule<class ts, ast::ts> const ts("timeseries");
        x3::rule<class funct_name, std::vector<char>> const funct_name("function_name");
        auto const funct_def = funct_name >> lit('(') >> -((ts|funct)%lit(',')) >> lit(')');
        auto const ts_def = lit('#') >> uint_ >> lit('#');
        auto const funct_name_def = lit('@') >> alpha >> *(alnum|char_('_'));
        auto const calc = x3::grammar(
            "calc", 
            funct = funct_def, 
            ts = ts_def,
            funct_name = funct_name_def
        );
    }
    using calc_grammar::calc;
}
error C2665: 'boost::detail::variant::make_initializer_node::apply::initializer_node::initialize': none of the 5 overloads could convert all the argument types
There's also a note to user in variant.hpp
// NOTE TO USER :
// Compile error here indicates that the given type is not 
// unambiguously convertible to one of the variant's types
// (or that no conversion exists).
Yet I am none the wiser...
I spotted this old question. X3 has evolved a bit in the mean time and I though I'd answer it now anyways.
I suspected that the main issue might have been with (missing) (implicit) constructors on the variant members.
Anyhow, here's a live demo with a more lightweight grammar:
namespace grammar_def {
    using namespace x3;
    rule<class funct, ast::fnc> const funct("function");
    auto const ts        = lexeme [ '#' >> uint_ >> '#' ];
    auto const fname     = lexeme [ '@' >> raw [ alpha >> *(alnum | '_') ] ];
    auto const expr      = ts|funct;
    auto const funct_def = fname >> '(' >> -expr % ',' >> ')';
    BOOST_SPIRIT_DEFINE(funct)
}
I also added some output streaming helpers. Note how I changed the id type to std::string for simplicity (it's hard/impossible to overload operator<< for vector<char> without invading namespace std):
namespace client { namespace ast {
    static std::ostream& operator<<(std::ostream& os, ts const& v) {
        using namespace boost::fusion;
        return os << tuple_open("") << tuple_close("") << tuple_delimiter("") << as_vector(v);
    }
    static std::ostream& operator<<(std::ostream& os, fnc const& v) {
        using namespace boost::fusion;
        return os << tuple_open("") << tuple_close("") << tuple_delimiter("") << as_vector(v);
    }
    template<typename T>
    static std::ostream& operator<<(std::ostream& os, std::vector<T> const& v) {
        os << "("; for (auto& el : v) os << (&el==&v[0]?"":", ") << el; return os << ")";
    }
} }
This has more (optional) plumbing to allow for richer debug information:
Live On Coliru
//#define BOOST_SPIRIT_X3_DEBUG
#include <iostream>
#include <boost/fusion/include/adapt_struct.hpp>
#include <boost/fusion/include/as_vector.hpp>
#include <boost/fusion/include/io.hpp>
#include <boost/spirit/home/x3.hpp>
namespace client { namespace ast {
    struct ts;
    struct fnc;
    //using string = std::vector<char>;
    using string = std::string; // for easier printing/debugging
    struct ts {
        unsigned int id;
        ts(unsigned id=0):id(id) {}
    };
    typedef boost::variant<ts, boost::recursive_wrapper<fnc> > node;
    struct fnc {
        string id;
        std::vector<node> args;
    };
} }
BOOST_FUSION_ADAPT_STRUCT(client::ast::ts, id)
BOOST_FUSION_ADAPT_STRUCT(client::ast::fnc, id, args)
//namespace std { static ostream& operator<<(ostream&os, vector<char> const& v) { return os.write(&v[0], v.size()); } }
namespace client { namespace ast {
    static std::ostream& operator<<(std::ostream& os, ts const& v) {
        using namespace boost::fusion;
        return os << tuple_open("") << tuple_close("") << tuple_delimiter("") << as_vector(v);
    }
    static std::ostream& operator<<(std::ostream& os, fnc const& v) {
        using namespace boost::fusion;
        return os << tuple_open("") << tuple_close("") << tuple_delimiter("") << as_vector(v);
    }
    template<typename T>
    static std::ostream& operator<<(std::ostream& os, std::vector<T> const& v) {
        os << "("; for (auto& el : v) os << (&el==&v[0]?"":", ") << el; return os << ")";
    }
} }
namespace client {
    namespace x3 = boost::spirit::x3;
    namespace grammar_def {
        using namespace x3;
        x3::rule<class funct, ast::fnc> const funct("function");
        auto const ts     // = x3::rule<class ts, ast::ts> {"timeseries"}
                             = lexeme [ '#' >> uint_ >> '#' ];
        auto const fname  // = x3::rule<class fname, ast::string> {"function_name"}
                             = lexeme [ '@' >> raw [ alpha >> *(alnum | '_') ] ];
        auto const expr   // = rule<struct expr_, ast::node > {"expr"}
                             = ts|funct;
        auto const funct_def = fname >> '(' >> -expr % ',' >> ')';
        BOOST_SPIRIT_DEFINE(funct)
    }
    auto const& grammar = x3::skip(x3::space) [grammar_def::funct];
}
#include <iostream>
int main() {
    std::string const s {
        "@pow( #1#, \n"
            "     @trunc(\n"
            "           @pi ()\n"
            "   ) )"};
    std::cout << "Parsing '" << s << "'\n";
    auto f = s.begin();
    client::ast::fnc parsed;
    if (parse(f, s.end(), client::grammar, parsed)) {
        std::cout << "Parse succeeded: " << parsed << "\n";
    } else {
        std::cout << "Parse failed\n";
    }
    if (f != s.end())
        std::cout << "Remaining unparsed input: '" << std::string(f, s.end()) << "'\n";
}
Prints:
Parsing '@pow( #1#, 
     @trunc(
           @pi ()
   ) )'
Parse succeeded: pow(1, trunc(pi()))
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