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https://github.com/Z3Prover/z3
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update rewriting of equalities and monomials for regressions
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
This commit is contained in:
parent
7fbb938474
commit
c6722859c2
9 changed files with 102 additions and 95 deletions
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@ -21,12 +21,12 @@ public:
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justified_expr& operator=(justified_expr const& other) {
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SASSERT(&m == &other.m);
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if (this != &other) {
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m.inc_ref(other.get_fml());
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m.inc_ref(other.get_proof());
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m.dec_ref(m_fml);
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m.dec_ref(m_proof);
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m_fml = other.get_fml();
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m_proof = other.get_proof();
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m.inc_ref(m_fml);
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m.inc_ref(m_proof);
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}
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return *this;
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}
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@ -26,7 +26,6 @@ void arith_rewriter::updt_local_params(params_ref const & _p) {
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arith_rewriter_params p(_p);
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m_arith_lhs = p.arith_lhs();
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m_gcd_rounding = p.gcd_rounding();
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m_eq2ineq = p.eq2ineq();
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m_elim_to_real = p.elim_to_real();
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m_push_to_real = p.push_to_real();
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m_anum_simp = p.algebraic_number_evaluator();
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@ -371,7 +370,7 @@ br_status arith_rewriter::mk_le_ge_eq_core(expr * arg1, expr * arg2, op_kind kin
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if ((is_zero(arg1) && is_reduce_power_target(arg2, kind == EQ)) ||
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(is_zero(arg2) && is_reduce_power_target(arg1, kind == EQ)))
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return reduce_power(arg1, arg2, kind, result);
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br_status st = cancel_monomials(arg1, arg2, m_arith_lhs, new_arg1, new_arg2);
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br_status st = cancel_monomials(arg1, arg2, true, new_arg1, new_arg2);
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TRACE("mk_le_bug", tout << "st: " << st << " " << new_arg1 << " " << new_arg2 << "\n";);
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if (st != BR_FAILED) {
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arg1 = new_arg1;
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@ -455,11 +454,7 @@ br_status arith_rewriter::mk_le_ge_eq_core(expr * arg1, expr * arg2, op_kind kin
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st = BR_DONE;
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}
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}
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if (kind == EQ && m_expand_eqs) {
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result = m().mk_and(m_util.mk_le(arg1, arg2), m_util.mk_ge(arg1, arg2));
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return BR_REWRITE2;
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}
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else if (is_numeral(arg2, a2) && is_neg_poly(arg1, new_arg1)) {
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if (is_numeral(arg2, a2) && is_neg_poly(arg1, new_arg1)) {
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a2.neg();
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new_arg2 = m_util.mk_numeral(a2, m_util.is_int(new_arg1));
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switch (kind) {
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@ -500,12 +495,19 @@ br_status arith_rewriter::mk_gt_core(expr * arg1, expr * arg2, expr_ref & result
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return BR_REWRITE2;
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}
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bool arith_rewriter::is_arith_term(expr * n) const {
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return n->get_kind() == AST_APP && to_app(n)->get_family_id() == get_fid();
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}
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br_status arith_rewriter::mk_eq_core(expr * arg1, expr * arg2, expr_ref & result) {
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if (m_eq2ineq) {
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if (m_expand_eqs) {
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result = m().mk_and(m_util.mk_le(arg1, arg2), m_util.mk_ge(arg1, arg2));
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return BR_REWRITE2;
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}
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return mk_le_ge_eq_core(arg1, arg2, EQ, result);
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if (m_arith_lhs || is_arith_term(arg1) || is_arith_term(arg2)) {
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return mk_le_ge_eq_core(arg1, arg2, EQ, result);
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}
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return BR_FAILED;
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}
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expr_ref arith_rewriter::neg_monomial(expr* e) const {
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@ -50,12 +50,12 @@ public:
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class arith_rewriter : public poly_rewriter<arith_rewriter_core> {
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bool m_arith_lhs;
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bool m_gcd_rounding;
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bool m_eq2ineq;
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bool m_elim_to_real;
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bool m_push_to_real;
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bool m_anum_simp;
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bool m_elim_rem;
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bool m_expand_eqs;
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bool m_process_all_eqs;
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unsigned m_max_degree;
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void get_coeffs_gcd(expr * t, numeral & g, bool & first, unsigned & num_consts);
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@ -83,6 +83,8 @@ class arith_rewriter : public poly_rewriter<arith_rewriter_core> {
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expr * reduce_power(expr * arg, bool is_eq);
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br_status reduce_power(expr * arg1, expr * arg2, op_kind kind, expr_ref & result);
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bool is_arith_term(expr * n) const;
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bool is_pi_multiple(expr * t, rational & k);
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bool is_pi_offset(expr * t, rational & k, expr * & m);
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bool is_2_pi_integer(expr * t);
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@ -6,7 +6,6 @@ def_module_params(module_name='rewriter',
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("expand_power", BOOL, False, "expand (^ t k) into (* t ... t) if 1 < k <= max_degree."),
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("expand_tan", BOOL, False, "replace (tan x) with (/ (sin x) (cos x))."),
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("max_degree", UINT, 64, "max degree of algebraic numbers (and power operators) processed by simplifier."),
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("eq2ineq", BOOL, False, "split arithmetic equalities into two inequalities."),
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("sort_sums", BOOL, False, "sort the arguments of + application."),
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("gcd_rounding", BOOL, False, "use gcd rounding on integer arithmetic atoms."),
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("arith_lhs", BOOL, False, "all monomials are moved to the left-hand-side, and the right-hand-side is just a constant."),
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@ -20,6 +20,7 @@ Notes:
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#include "ast/rewriter/bv_rewriter_params.hpp"
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#include "ast/rewriter/poly_rewriter_def.h"
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#include "ast/ast_smt2_pp.h"
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#include "ast/ast_lt.h"
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void bv_rewriter::updt_local_params(params_ref const & _p) {
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@ -48,7 +48,6 @@ protected:
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decl_kind power_decl_kind() const { return Config::power_decl_kind(); }
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bool is_power(expr * t) const { return is_app_of(t, get_fid(), power_decl_kind()); }
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expr * get_power_body(expr * t, rational & k);
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struct mon_pw_lt; // functor used to sort monomial elements when use_power() == true
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expr * mk_mul_app(unsigned num_args, expr * const * args);
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expr * mk_mul_app(numeral const & c, expr * arg);
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@ -85,6 +84,14 @@ protected:
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bool is_mul(expr * t, numeral & c, expr * & pp);
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void hoist_cmul(expr_ref_buffer & args);
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class mon_lt {
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poly_rewriter& rw;
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int ordinal(expr* e) const;
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public:
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mon_lt(poly_rewriter& rw): rw(rw) {}
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bool operator()(expr* e1, expr * e2) const;
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};
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public:
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poly_rewriter(ast_manager & m, params_ref const & p = params_ref()):
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Config(m),
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@ -18,7 +18,7 @@ Notes:
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--*/
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#include "ast/rewriter/poly_rewriter.h"
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#include "ast/rewriter/poly_rewriter_params.hpp"
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#include "ast/ast_lt.h"
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// include "ast/ast_lt.h"
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#include "ast/ast_ll_pp.h"
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#include "ast/ast_smt2_pp.h"
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@ -191,21 +191,9 @@ br_status poly_rewriter<Config>::mk_flat_mul_core(unsigned num_args, expr * cons
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}
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template<typename Config>
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struct poly_rewriter<Config>::mon_pw_lt {
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poly_rewriter<Config> & m_owner;
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mon_pw_lt(poly_rewriter<Config> & o):m_owner(o) {}
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bool operator()(expr * n1, expr * n2) const {
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rational k;
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return lt(m_owner.get_power_body(n1, k),
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m_owner.get_power_body(n2, k));
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}
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};
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template<typename Config>
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br_status poly_rewriter<Config>::mk_nflat_mul_core(unsigned num_args, expr * const * args, expr_ref & result) {
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mon_lt lt(*this);
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SASSERT(num_args >= 2);
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// cheap case
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numeral a;
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@ -320,11 +308,8 @@ br_status poly_rewriter<Config>::mk_nflat_mul_core(unsigned num_args, expr * con
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if (ordered && num_coeffs == 0 && !use_power())
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return BR_FAILED;
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if (!ordered) {
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if (use_power())
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std::sort(new_args.begin(), new_args.end(), mon_pw_lt(*this));
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else
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std::sort(new_args.begin(), new_args.end(), ast_to_lt());
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TRACE("poly_rewriter",
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std::sort(new_args.begin(), new_args.end(), lt);
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TRACE("poly_rewriter",
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tout << "after sorting:\n";
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for (unsigned i = 0; i < new_args.size(); i++) {
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if (i > 0)
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@ -498,8 +483,43 @@ void poly_rewriter<Config>::hoist_cmul(expr_ref_buffer & args) {
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args.resize(j);
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}
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template<typename Config>
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bool poly_rewriter<Config>::mon_lt::operator()(expr* e1, expr * e2) const {
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return ordinal(e1) < ordinal(e2);
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}
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inline bool is_essentially_var(expr * n, family_id fid) {
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SASSERT(is_var(n) || is_app(n));
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return is_var(n) || to_app(n)->get_family_id() != fid;
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}
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template<typename Config>
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int poly_rewriter<Config>::mon_lt::ordinal(expr* e) const {
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rational k;
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if (is_essentially_var(e, rw.get_fid())) {
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return e->get_id();
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}
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else if (rw.is_mul(e)) {
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if (rw.is_numeral(to_app(e)->get_arg(0)))
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return to_app(e)->get_arg(1)->get_id();
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else
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return e->get_id();
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}
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else if (rw.is_numeral(e)) {
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return -1;
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}
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else if (rw.use_power() && rw.is_power(e) && rw.is_numeral(to_app(e)->get_arg(1), k) && k > rational(1)) {
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return to_app(e)->get_arg(0)->get_id();
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}
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else {
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return e->get_id();
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}
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}
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template<typename Config>
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br_status poly_rewriter<Config>::mk_nflat_add_core(unsigned num_args, expr * const * args, expr_ref & result) {
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mon_lt lt(*this);
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SASSERT(num_args >= 2);
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numeral c;
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unsigned num_coeffs = 0;
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@ -591,9 +611,9 @@ br_status poly_rewriter<Config>::mk_nflat_add_core(unsigned num_args, expr * con
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else if (m_sort_sums) {
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TRACE("rewriter_bug", tout << "new_args.size(): " << new_args.size() << "\n";);
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if (c.is_zero())
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std::sort(new_args.c_ptr(), new_args.c_ptr() + new_args.size(), ast_to_lt());
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std::sort(new_args.c_ptr(), new_args.c_ptr() + new_args.size(), mon_lt(*this));
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else
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std::sort(new_args.c_ptr() + 1, new_args.c_ptr() + new_args.size(), ast_to_lt());
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std::sort(new_args.c_ptr() + 1, new_args.c_ptr() + new_args.size(), mon_lt(*this));
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}
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result = mk_add_app(new_args.size(), new_args.c_ptr());
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TRACE("rewriter", tout << result << "\n";);
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@ -624,10 +644,10 @@ br_status poly_rewriter<Config>::mk_nflat_add_core(unsigned num_args, expr * con
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}
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else if (!ordered) {
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if (c.is_zero())
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std::sort(new_args.c_ptr(), new_args.c_ptr() + new_args.size(), ast_to_lt());
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std::sort(new_args.c_ptr(), new_args.c_ptr() + new_args.size(), lt);
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else
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std::sort(new_args.c_ptr() + 1, new_args.c_ptr() + new_args.size(), ast_to_lt());
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}
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std::sort(new_args.c_ptr() + 1, new_args.c_ptr() + new_args.size(), lt);
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}
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result = mk_add_app(new_args.size(), new_args.c_ptr());
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if (hoist_multiplication(result)) {
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return BR_REWRITE_FULL;
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@ -681,6 +701,7 @@ br_status poly_rewriter<Config>::mk_sub(unsigned num_args, expr * const * args,
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template<typename Config>
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br_status poly_rewriter<Config>::cancel_monomials(expr * lhs, expr * rhs, bool move, expr_ref & lhs_result, expr_ref & rhs_result) {
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set_curr_sort(m().get_sort(lhs));
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mon_lt lt(*this);
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unsigned lhs_sz;
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expr * const * lhs_monomials = get_monomials(lhs, lhs_sz);
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unsigned rhs_sz;
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if (move) {
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if (m_sort_sums) {
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// + 1 to skip coefficient
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std::sort(new_lhs_monomials.begin() + 1, new_lhs_monomials.end(), ast_to_lt());
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std::sort(new_lhs_monomials.begin() + 1, new_lhs_monomials.end(), lt);
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}
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c_at_rhs = true;
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}
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