/*
 * Copyright 2016 WebAssembly Community Group participants
 *
 * Licensed under the Apache License, Version 2.0 (the "License");
 * you may not use this file except in compliance with the License.
 * You may obtain a copy of the License at
 *
 *     http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 */

//
// Optimize combinations of instructions
//

#include <algorithm>
#include <cmath>
#include <type_traits>

#include <ir/abstract.h>
#include <ir/bits.h>
#include <ir/cost.h>
#include <ir/effects.h>
#include <ir/literal-utils.h>
#include <ir/load-utils.h>
#include <ir/manipulation.h>
#include <ir/match.h>
#include <ir/properties.h>
#include <ir/utils.h>
#include <pass.h>
#include <support/threads.h>
#include <wasm.h>

// TODO: Use the new sign-extension opcodes where appropriate. This needs to be
// conditionalized on the availability of atomics.

namespace wasm {

Name I32_EXPR = "i32.expr";
Name I64_EXPR = "i64.expr";
Name F32_EXPR = "f32.expr";
Name F64_EXPR = "f64.expr";
Name ANY_EXPR = "any.expr";

// Useful information about locals
struct LocalInfo {
  static const Index kUnknown = Index(-1);

  Index maxBits;
  Index signExtedBits;
};

struct LocalScanner : PostWalker<LocalScanner> {
  std::vector<LocalInfo>& localInfo;
  const PassOptions& passOptions;

  LocalScanner(std::vector<LocalInfo>& localInfo,
               const PassOptions& passOptions)
    : localInfo(localInfo), passOptions(passOptions) {}

  void doWalkFunction(Function* func) {
    // prepare
    localInfo.resize(func->getNumLocals());
    for (Index i = 0; i < func->getNumLocals(); i++) {
      auto& info = localInfo[i];
      if (func->isParam(i)) {
        info.maxBits = getBitsForType(func->getLocalType(i)); // worst-case
        info.signExtedBits = LocalInfo::kUnknown; // we will never know anything
      } else {
        info.maxBits = info.signExtedBits = 0; // we are open to learning
      }
    }
    // walk
    PostWalker<LocalScanner>::doWalkFunction(func);
    // finalize
    for (Index i = 0; i < func->getNumLocals(); i++) {
      auto& info = localInfo[i];
      if (info.signExtedBits == LocalInfo::kUnknown) {
        info.signExtedBits = 0;
      }
    }
  }

  void visitLocalSet(LocalSet* curr) {
    auto* func = getFunction();
    if (func->isParam(curr->index)) {
      return;
    }
    auto type = getFunction()->getLocalType(curr->index);
    if (type != Type::i32 && type != Type::i64) {
      return;
    }
    // an integer var, worth processing
    auto* value = Properties::getFallthrough(
      curr->value, passOptions, getModule()->features);
    auto& info = localInfo[curr->index];
    info.maxBits = std::max(info.maxBits, Bits::getMaxBits(value, this));
    auto signExtBits = LocalInfo::kUnknown;
    if (Properties::getSignExtValue(value)) {
      signExtBits = Properties::getSignExtBits(value);
    } else if (auto* load = value->dynCast<Load>()) {
      if (LoadUtils::isSignRelevant(load) && load->signed_) {
        signExtBits = load->bytes * 8;
      }
    }
    if (info.signExtedBits == 0) {
      info.signExtedBits = signExtBits; // first info we see
    } else if (info.signExtedBits != signExtBits) {
      // contradictory information, give up
      info.signExtedBits = LocalInfo::kUnknown;
    }
  }

  // define this for the templated getMaxBits method. we know nothing here yet
  // about locals, so return the maxes
  Index getMaxBitsForLocal(LocalGet* get) { return getBitsForType(get->type); }

  Index getBitsForType(Type type) {
    if (!type.isBasic()) {
      return -1;
    }
    switch (type.getBasic()) {
      case Type::i32:
        return 32;
      case Type::i64:
        return 64;
      default:
        return -1;
    }
  }
};

namespace {
// perform some final optimizations
struct FinalOptimizer : public PostWalker<FinalOptimizer> {
  const PassOptions& passOptions;

  FinalOptimizer(const PassOptions& passOptions) : passOptions(passOptions) {}

  void visitBinary(Binary* curr) {
    if (auto* replacement = optimize(curr)) {
      replaceCurrent(replacement);
    }
  }

  Binary* optimize(Binary* curr) {
    using namespace Abstract;
    using namespace Match;
    {
      Const* c;
      if (matches(curr, binary(Add, any(), ival(&c)))) {
        // normalize x + (-C)  ==>   x - C
        if (c->value.isNegative()) {
          c->value = c->value.neg();
          curr->op = Abstract::getBinary(c->type, Sub);
        }
        // Wasm binary encoding uses signed LEBs, which slightly favor negative
        // numbers: -64 is more efficient than +64 etc., as well as other powers
        // of two 7 bits etc. higher. we therefore prefer x - -64 over x + 64.
        // in theory we could just prefer negative numbers over positive, but
        // that can have bad effects on gzip compression (as it would mean more
        // subtractions than the more common additions).
        int64_t value = c->value.getInteger();
        if (value == 0x40LL || value == 0x2000LL || value == 0x100000LL ||
            value == 0x8000000LL || value == 0x400000000LL ||
            value == 0x20000000000LL || value == 0x1000000000000LL ||
            value == 0x80000000000000LL || value == 0x4000000000000000LL) {
          c->value = c->value.neg();
          if (curr->op == Abstract::getBinary(c->type, Add)) {
            curr->op = Abstract::getBinary(c->type, Sub);
          } else {
            curr->op = Abstract::getBinary(c->type, Add);
          }
        }
        return curr;
      }
    }
    return nullptr;
  }
};

} // anonymous namespace

// Create a custom matcher for checking side effects
template<class Opt> struct PureMatcherKind {};
template<class Opt>
struct Match::Internal::KindTypeRegistry<PureMatcherKind<Opt>> {
  using matched_t = Expression*;
  using data_t = Opt*;
};
template<class Opt> struct Match::Internal::MatchSelf<PureMatcherKind<Opt>> {
  bool operator()(Expression* curr, Opt* opt) {
    return !opt->effects(curr).hasSideEffects();
  }
};

// Main pass class
struct OptimizeInstructions
  : public WalkerPass<
      PostWalker<OptimizeInstructions,
                 UnifiedExpressionVisitor<OptimizeInstructions>>> {
  bool isFunctionParallel() override { return true; }

  Pass* create() override { return new OptimizeInstructions; }

  bool fastMath;

  void doWalkFunction(Function* func) {
    fastMath = getPassOptions().fastMath;
    // first, scan locals
    {
      LocalScanner scanner(localInfo, getPassOptions());
      scanner.setModule(getModule());
      scanner.walkFunction(func);
    }
    // main walk
    super::doWalkFunction(func);
    {
      FinalOptimizer optimizer(getPassOptions());
      optimizer.walkFunction(func);
    }
  }

  void visitExpression(Expression* curr) {
    // if this contains dead code, don't bother trying to optimize it, the type
    // might change (if might not be unreachable if just one arm is, for
    // example). this optimization pass focuses on actually executing code. the
    // only exceptions are control flow changes
    if (curr->is<Const>() || curr->is<Call>() || curr->is<Nop>() ||
        (curr->type == Type::unreachable && !curr->is<Break>() &&
         !curr->is<Switch>() && !curr->is<If>())) {
      return;
    }
    // we may be able to apply multiple patterns, one may open opportunities
    // that look deeper NB: patterns must not have cycles
    while ((curr = handOptimize(curr))) {
      replaceCurrent(curr);
    }
  }

  EffectAnalyzer effects(Expression* expr) {
    return EffectAnalyzer(getPassOptions(), getModule()->features, expr);
  }

  decltype(auto) pure(Expression** binder) {
    using namespace Match::Internal;
    return Matcher<PureMatcherKind<OptimizeInstructions>>(binder, this);
  }

  bool canReorder(Expression* a, Expression* b) {
    return EffectAnalyzer::canReorder(
      getPassOptions(), getModule()->features, a, b);
  }

  // Optimizations that don't yet fit in the pattern DSL, but could be
  // eventually maybe
  Expression* handOptimize(Expression* curr) {
    if (curr->is<Const>()) {
      return nullptr;
    }

    FeatureSet features = getModule()->features;

    if (auto* binary = curr->dynCast<Binary>()) {
      if (shouldCanonicalize(binary)) {
        canonicalize(binary);
      }
    }

    {
      // TODO: It is an ongoing project to port more transformations to the
      // match API. Once most of the transformations have been ported, the
      // `using namespace Match` can be hoisted to function scope and this extra
      // block scope can be removed.
      using namespace Match;
      using namespace Abstract;
      Builder builder(*getModule());
      {
        // try to get rid of (0 - ..), that is, a zero only used to negate an
        // int. an add of a subtract can be flipped in order to remove it:
        //   (ival.add
        //     (ival.sub
        //       (ival.const 0)
        //       X
        //     )
        //     Y
        //   )
        // =>
        //   (ival.sub
        //     Y
        //     X
        //   )
        // Note that this reorders X and Y, so we need to be careful about that.
        Expression *x, *y;
        Binary* sub;
        if (matches(
              curr,
              binary(Add, binary(&sub, Sub, ival(0), any(&x)), any(&y))) &&
            canReorder(x, y)) {
          sub->left = y;
          sub->right = x;
          return sub;
        }
      }
      {
        // The flip case is even easier, as no reordering occurs:
        //   (ival.add
        //     Y
        //     (ival.sub
        //       (ival.const 0)
        //       X
        //     )
        //   )
        // =>
        //   (ival.sub
        //     Y
        //     X
        //   )
        Expression* y;
        Binary* sub;
        if (matches(curr,
                    binary(Add, any(&y), binary(&sub, Sub, ival(0), any())))) {
          sub->left = y;
          return sub;
        }
      }
      {
        // eqz(x - y)  =>  x == y
        Binary* inner;
        if (matches(curr, unary(EqZ, binary(&inner, Sub, any(), any())))) {
          inner->op = Abstract::getBinary(inner->left->type, Eq);
          inner->type = Type::i32;
          return inner;
        }
      }
      {
        // eqz(x + C)  =>  x == -C
        Const* c;
        Binary* inner;
        if (matches(curr, unary(EqZ, binary(&inner, Add, any(), ival(&c))))) {
          c->value = c->value.neg();
          inner->op = Abstract::getBinary(c->type, Eq);
          inner->type = Type::i32;
          return inner;
        }
      }
      {
        // eqz((signed)x % C_pot)  =>  eqz(x & (abs(C_pot) - 1))
        Const* c;
        Binary* inner;
        if (matches(curr, unary(EqZ, binary(&inner, RemS, any(), ival(&c)))) &&
            (c->value.isSignedMin() ||
             Bits::isPowerOf2(c->value.abs().getInteger()))) {
          inner->op = Abstract::getBinary(c->type, And);
          if (c->value.isSignedMin()) {
            c->value = Literal::makeSignedMax(c->type);
          } else {
            c->value = c->value.abs().sub(Literal::makeOne(c->type));
          }
          return curr;
        }
      }
      {
        // try de-morgan's AND law,
        //  (eqz X) and (eqz Y) === eqz (X or Y)
        // Note that the OR and XOR laws do not work here, as these
        // are not booleans (we could check if they are, but a boolean
        // would already optimize with the eqz anyhow, unless propagating).
        // But for AND, the left is true iff X and Y are each all zero bits,
        // and the right is true if the union of their bits is zero; same.
        Unary* un;
        Binary* bin;
        Expression *x, *y;
        if (matches(curr,
                    binary(&bin,
                           AndInt32,
                           unary(&un, EqZInt32, any(&x)),
                           unary(EqZInt32, any(&y))))) {
          bin->op = OrInt32;
          bin->left = x;
          bin->right = y;
          un->value = bin;
          return un;
        }
      }
      {
        // i32.eqz(i32.wrap_i64(x))  =>  i64.eqz(x)
        //   where maxBits(x) <= 32
        Unary* inner;
        Expression* x;
        if (matches(curr, unary(EqZInt32, unary(&inner, WrapInt64, any(&x)))) &&
            Bits::getMaxBits(x, this) <= 32) {
          inner->op = EqZInt64;
          inner->value = x;
          return inner;
        }
      }
      {
        // x <<>> (C & (31 | 63))   ==>   x <<>> C'
        // x <<>> (y & (31 | 63))   ==>   x <<>> y
        // x <<>> (y & (32 | 64))   ==>   x
        // where '<<>>':
        //   '<<', '>>', '>>>'. 'rotl' or 'rotr'
        BinaryOp op;
        Const* c;
        Expression *x, *y;

        // x <<>> C
        if (matches(curr, binary(&op, any(&x), ival(&c))) &&
            Abstract::hasAnyShift(op)) {
          // truncate RHS constant to effective size as:
          // i32(x) <<>> const(C & 31))
          // i64(x) <<>> const(C & 63))
          c->value = c->value.and_(
            Literal::makeFromInt32(c->type.getByteSize() * 8 - 1, c->type));
          // x <<>> 0   ==>   x
          if (c->value.isZero()) {
            return x;
          }
        }
        if (matches(curr,
                    binary(&op, any(&x), binary(And, any(&y), ival(&c)))) &&
            Abstract::hasAnyShift(op)) {
          // i32(x) <<>> (y & 31)   ==>   x <<>> y
          // i64(x) <<>> (y & 63)   ==>   x <<>> y
          if ((c->type == Type::i32 && (c->value.geti32() & 31) == 31) ||
              (c->type == Type::i64 && (c->value.geti64() & 63LL) == 63LL)) {
            curr->cast<Binary>()->right = y;
            return curr;
          }
          // i32(x) <<>> (y & C)   ==>   x,  where (C & 31) == 0
          // i64(x) <<>> (y & C)   ==>   x,  where (C & 63) == 0
          if (((c->type == Type::i32 && (c->value.geti32() & 31) == 0) ||
               (c->type == Type::i64 && (c->value.geti64() & 63LL) == 0LL)) &&
              !effects(y).hasSideEffects()) {
            return x;
          }
        }
      }
      {
        // unsigned(x) >= 0   =>   i32(1)
        Const* c;
        Expression* x;
        if (matches(curr, binary(GeU, pure(&x), ival(&c))) &&
            c->value.isZero()) {
          c->value = Literal::makeOne(Type::i32);
          c->type = Type::i32;
          return c;
        }
        // unsigned(x) < 0   =>   i32(0)
        if (matches(curr, binary(LtU, pure(&x), ival(&c))) &&
            c->value.isZero()) {
          c->value = Literal::makeZero(Type::i32);
          c->type = Type::i32;
          return c;
        }
      }
    }

    if (auto* select = curr->dynCast<Select>()) {
      return optimizeSelect(select);
    }

    if (auto* binary = curr->dynCast<Binary>()) {
      if (auto* ext = Properties::getAlmostSignExt(binary)) {
        Index extraLeftShifts;
        auto bits = Properties::getAlmostSignExtBits(binary, extraLeftShifts);
        if (extraLeftShifts == 0) {
          if (auto* load =
                Properties::getFallthrough(ext, getPassOptions(), features)
                  ->dynCast<Load>()) {
            // pattern match a load of 8 bits and a sign extend using a shl of
            // 24 then shr_s of 24 as well, etc.
            if (LoadUtils::canBeSigned(load) &&
                ((load->bytes == 1 && bits == 8) ||
                 (load->bytes == 2 && bits == 16))) {
              // if the value falls through, we can't alter the load, as it
              // might be captured in a tee
              if (load->signed_ == true || load == ext) {
                load->signed_ = true;
                return ext;
              }
            }
          }
        }
        // We can in some cases remove part of a sign extend, that is,
        //   (x << A) >> B   =>   x << (A - B)
        // If the sign-extend input cannot have a sign bit, we don't need it.
        if (Bits::getMaxBits(ext, this) + extraLeftShifts < bits) {
          return removeAlmostSignExt(binary);
        }
        // We also don't need it if it already has an identical-sized sign
        // extend applied to it. That is, if it is already a sign-extended
        // value, then another sign extend will do nothing. We do need to be
        // careful of the extra shifts, though.
        if (isSignExted(ext, bits) && extraLeftShifts == 0) {
          return removeAlmostSignExt(binary);
        }
      } else if (binary->op == EqInt32 || binary->op == NeInt32) {
        if (auto* c = binary->right->dynCast<Const>()) {
          if (auto* ext = Properties::getSignExtValue(binary->left)) {
            // We are comparing a sign extend to a constant, which means we can
            // use a cheaper zero-extend in some cases. That is,
            //  (x << S) >> S ==/!= C    =>    x & T ==/!= C
            // where S and T are the matching values for sign/zero extend of the
            // same size. For example, for an effective 8-bit value:
            //  (x << 24) >> 24 ==/!= C    =>    x & 255 ==/!= C
            //
            // The key thing to track here are the upper bits plus the sign bit;
            // call those the "relevant bits". This is crucial because x is
            // sign-extended, that is, its effective sign bit is spread to all
            // the upper bits, which means that the relevant bits on the left
            // side are either all 0, or all 1.
            auto bits = Properties::getSignExtBits(binary->left);
            uint32_t right = c->value.geti32();
            uint32_t numRelevantBits = 32 - bits + 1;
            uint32_t setRelevantBits =
              Bits::popCount(right >> uint32_t(bits - 1));
            // If all the relevant bits on C are zero
            // then we can mask off the high bits instead of sign-extending x.
            // This is valid because if x is negative, then the comparison was
            // false before (negative vs positive), and will still be false
            // as the sign bit will remain to cause a difference. And if x is
            // positive then the upper bits would be zero anyhow.
            if (setRelevantBits == 0) {
              binary->left = makeZeroExt(ext, bits);
              return binary;
            } else if (setRelevantBits == numRelevantBits) {
              // If all those bits are one, then we can do something similar if
              // we also zero-extend on the right as well. This is valid
              // because, as in the previous case, the sign bit differentiates
              // the two sides when they are different, and if the sign bit is
              // identical, then the upper bits don't matter, so masking them
              // off both sides is fine.
              binary->left = makeZeroExt(ext, bits);
              c->value = c->value.and_(Literal(Bits::lowBitMask(bits)));
              return binary;
            } else {
              // Otherwise, C's relevant bits are mixed, and then the two sides
              // can never be equal, as the left side's bits cannot be mixed.
              Builder builder(*getModule());
              // The result is either always true, or always false.
              c->value = Literal::makeFromInt32(binary->op == NeInt32, c->type);
              return builder.makeSequence(builder.makeDrop(ext), c);
            }
          }
        } else if (auto* left = Properties::getSignExtValue(binary->left)) {
          if (auto* right = Properties::getSignExtValue(binary->right)) {
            auto bits = Properties::getSignExtBits(binary->left);
            if (Properties::getSignExtBits(binary->right) == bits) {
              // we are comparing two sign-exts with the same bits, so we may as
              // well replace both with cheaper zexts
              binary->left = makeZeroExt(left, bits);
              binary->right = makeZeroExt(right, bits);
              return binary;
            }
          } else if (auto* load = binary->right->dynCast<Load>()) {
            // we are comparing a load to a sign-ext, we may be able to switch
            // to zext
            auto leftBits = Properties::getSignExtBits(binary->left);
            if (load->signed_ && leftBits == load->bytes * 8) {
              load->signed_ = false;
              binary->left = makeZeroExt(left, leftBits);
              return binary;
            }
          }
        } else if (auto* load = binary->left->dynCast<Load>()) {
          if (auto* right = Properties::getSignExtValue(binary->right)) {
            // we are comparing a load to a sign-ext, we may be able to switch
            // to zext
            auto rightBits = Properties::getSignExtBits(binary->right);
            if (load->signed_ && rightBits == load->bytes * 8) {
              load->signed_ = false;
              binary->right = makeZeroExt(right, rightBits);
              return binary;
            }
          }
        }
        // note that both left and right may be consts, but then we let
        // precompute compute the constant result
      } else if (binary->op == AddInt32 || binary->op == AddInt64 ||
                 binary->op == SubInt32 || binary->op == SubInt64) {
        if (auto* ret = optimizeAddedConstants(binary)) {
          return ret;
        }
      } else if (binary->op == MulFloat32 || binary->op == MulFloat64 ||
                 binary->op == DivFloat32 || binary->op == DivFloat64) {
        if (binary->left->type == binary->right->type) {
          if (auto* leftUnary = binary->left->dynCast<Unary>()) {
            if (leftUnary->op ==
                Abstract::getUnary(binary->type, Abstract::Abs)) {
              if (auto* rightUnary = binary->right->dynCast<Unary>()) {
                if (leftUnary->op == rightUnary->op) { // both are abs ops
                  // abs(x) * abs(y)   ==>   abs(x * y)
                  // abs(x) / abs(y)   ==>   abs(x / y)
                  binary->left = leftUnary->value;
                  binary->right = rightUnary->value;
                  leftUnary->value = binary;
                  return leftUnary;
                }
              }
            }
          }
        }
      }
      // a bunch of operations on a constant right side can be simplified
      if (auto* right = binary->right->dynCast<Const>()) {
        if (binary->op == AndInt32) {
          auto mask = right->value.geti32();
          // and with -1 does nothing (common in asm.js output)
          if (mask == -1) {
            return binary->left;
          }
          // small loads do not need to be masked, the load itself masks
          if (auto* load = binary->left->dynCast<Load>()) {
            if ((load->bytes == 1 && mask == 0xff) ||
                (load->bytes == 2 && mask == 0xffff)) {
              load->signed_ = false;
              return binary->left;
            }
          } else if (auto maskedBits = Bits::getMaskedBits(mask)) {
            if (Bits::getMaxBits(binary->left, this) <= maskedBits) {
              // a mask of lower bits is not needed if we are already smaller
              return binary->left;
            }
          }
        }
        // some math operations have trivial results
        if (auto* ret = optimizeWithConstantOnRight(binary)) {
          return ret;
        }
        // the square of some operations can be merged
        if (auto* left = binary->left->dynCast<Binary>()) {
          if (left->op == binary->op) {
            if (auto* leftRight = left->right->dynCast<Const>()) {
              if (left->op == AndInt32 || left->op == AndInt64) {
                leftRight->value = leftRight->value.and_(right->value);
                return left;
              } else if (left->op == OrInt32 || left->op == OrInt64) {
                leftRight->value = leftRight->value.or_(right->value);
                return left;
              } else if (left->op == XorInt32 || left->op == XorInt64) {
                leftRight->value = leftRight->value.xor_(right->value);
                return left;
              } else if (left->op == MulInt32 || left->op == MulInt64) {
                leftRight->value = leftRight->value.mul(right->value);
                return left;

                // TODO:
                // handle signed / unsigned divisions. They are more complex
              } else if (left->op == ShlInt32 || left->op == ShrUInt32 ||
                         left->op == ShrSInt32 || left->op == ShlInt64 ||
                         left->op == ShrUInt64 || left->op == ShrSInt64) {
                // shifts only use an effective amount from the constant, so
                // adding must be done carefully
                auto total = Bits::getEffectiveShifts(leftRight) +
                             Bits::getEffectiveShifts(right);
                if (total == Bits::getEffectiveShifts(total, right->type)) {
                  // no overflow, we can do this
                  leftRight->value = Literal::makeFromInt32(total, right->type);
                  return left;
                } // TODO: handle overflows
              }
            }
          }
        }
        if (right->type == Type::i32) {
          BinaryOp op;
          int32_t c = right->value.geti32();
          // First, try to lower signed operations to unsigned if that is
          // possible. Some unsigned operations like div_u or rem_u are usually
          // faster on VMs. Also this opens more possibilities for further
          // simplifications afterwards.
          if (c >= 0 &&
              (op = makeUnsignedBinaryOp(binary->op)) != InvalidBinary &&
              Bits::getMaxBits(binary->left, this) <= 31) {
            binary->op = op;
          }
          if (c < 0 && c > std::numeric_limits<int32_t>::min() &&
              binary->op == DivUInt32) {
            // u32(x) / C   ==>   u32(x) >= C  iff C > 2^31
            // We avoid applying this for C == 2^31 due to conflict
            // with other rule which transform to more prefereble
            // right shift operation.
            binary->op = c == -1 ? EqInt32 : GeUInt32;
            return binary;
          }
          if (Bits::isPowerOf2((uint32_t)c)) {
            switch (binary->op) {
              case MulInt32:
                return optimizePowerOf2Mul(binary, (uint32_t)c);
              case RemUInt32:
                return optimizePowerOf2URem(binary, (uint32_t)c);
              case DivUInt32:
                return optimizePowerOf2UDiv(binary, (uint32_t)c);
              default:
                break;
            }
          }
        }
        if (right->type == Type::i64) {
          BinaryOp op;
          int64_t c = right->value.geti64();
          // See description above for Type::i32
          if (c >= 0 &&
              (op = makeUnsignedBinaryOp(binary->op)) != InvalidBinary &&
              Bits::getMaxBits(binary->left, this) <= 63) {
            binary->op = op;
          }
          if (getPassOptions().shrinkLevel == 0 && c < 0 &&
              c > std::numeric_limits<int64_t>::min() &&
              binary->op == DivUInt64) {
            // u64(x) / C   ==>   u64(u64(x) >= C)  iff C > 2^63
            // We avoid applying this for C == 2^31 due to conflict
            // with other rule which transform to more prefereble
            // right shift operation.
            // And apply this only for shrinkLevel == 0 due to it
            // increasing size by one byte.
            binary->op = c == -1LL ? EqInt64 : GeUInt64;
            binary->type = Type::i32;
            return Builder(*getModule()).makeUnary(ExtendUInt32, binary);
          }
          if (Bits::isPowerOf2((uint64_t)c)) {
            switch (binary->op) {
              case MulInt64:
                return optimizePowerOf2Mul(binary, (uint64_t)c);
              case RemUInt64:
                return optimizePowerOf2URem(binary, (uint64_t)c);
              case DivUInt64:
                return optimizePowerOf2UDiv(binary, (uint64_t)c);
              default:
                break;
            }
          }
        }
        if (binary->op == DivFloat32) {
          float c = right->value.getf32();
          if (Bits::isPowerOf2InvertibleFloat(c)) {
            return optimizePowerOf2FDiv(binary, c);
          }
        }
        if (binary->op == DivFloat64) {
          double c = right->value.getf64();
          if (Bits::isPowerOf2InvertibleFloat(c)) {
            return optimizePowerOf2FDiv(binary, c);
          }
        }
      }
      // a bunch of operations on a constant left side can be simplified
      if (binary->left->is<Const>()) {
        if (auto* ret = optimizeWithConstantOnLeft(binary)) {
          return ret;
        }
      }
      // bitwise operations
      // for and and or, we can potentially conditionalize
      if (binary->op == AndInt32 || binary->op == OrInt32) {
        if (auto* ret = conditionalizeExpensiveOnBitwise(binary)) {
          return ret;
        }
      }
      // for or, we can potentially combine
      if (binary->op == OrInt32) {
        if (auto* ret = combineOr(binary)) {
          return ret;
        }
      }
      // relation/comparisons allow for math optimizations
      if (binary->isRelational()) {
        if (auto* ret = optimizeRelational(binary)) {
          return ret;
        }
      }
      // finally, try more expensive operations on the binary in
      // the case that they have no side effects
      if (!effects(binary->left).hasSideEffects()) {
        if (ExpressionAnalyzer::equal(binary->left, binary->right)) {
          if (auto* ret = optimizeBinaryWithEqualEffectlessChildren(binary)) {
            return ret;
          }
        }
      }

      if (auto* ret = deduplicateBinary(binary)) {
        return ret;
      }
    } else if (auto* unary = curr->dynCast<Unary>()) {
      if (unary->op == EqZInt32) {
        if (auto* inner = unary->value->dynCast<Binary>()) {
          // Try to invert a relational operation using De Morgan's law
          auto op = invertBinaryOp(inner->op);
          if (op != InvalidBinary) {
            inner->op = op;
            return inner;
          }
        }
        // eqz of a sign extension can be of zero-extension
        if (auto* ext = Properties::getSignExtValue(unary->value)) {
          // we are comparing a sign extend to a constant, which means we can
          // use a cheaper zext
          auto bits = Properties::getSignExtBits(unary->value);
          unary->value = makeZeroExt(ext, bits);
          return unary;
        }
      } else if (unary->op == AbsFloat32 || unary->op == AbsFloat64) {
        // abs(-x)   ==>   abs(x)
        if (auto* unaryInner = unary->value->dynCast<Unary>()) {
          if (unaryInner->op ==
              Abstract::getUnary(unaryInner->type, Abstract::Neg)) {
            unary->value = unaryInner->value;
            return unary;
          }
        }
        // abs(x * x)   ==>   x * x
        // abs(x / x)   ==>   x / x
        if (auto* binary = unary->value->dynCast<Binary>()) {
          if ((binary->op == Abstract::getBinary(binary->type, Abstract::Mul) ||
               binary->op ==
                 Abstract::getBinary(binary->type, Abstract::DivS)) &&
              ExpressionAnalyzer::equal(binary->left, binary->right)) {
            return binary;
          }
          // abs(0 - x)   ==>   abs(x),
          // only for fast math
          if (fastMath &&
              binary->op == Abstract::getBinary(binary->type, Abstract::Sub)) {
            if (auto* c = binary->left->dynCast<Const>()) {
              if (c->value.isZero()) {
                unary->value = binary->right;
                return unary;
              }
            }
          }
        }
      }

      if (auto* ret = deduplicateUnary(unary)) {
        return ret;
      }
    } else if (auto* set = curr->dynCast<GlobalSet>()) {
      // optimize out a set of a get
      auto* get = set->value->dynCast<GlobalGet>();
      if (get && get->name == set->name) {
        ExpressionManipulator::nop(curr);
      }
    } else if (auto* iff = curr->dynCast<If>()) {
      iff->condition = optimizeBoolean(iff->condition);
      if (iff->ifFalse) {
        if (auto* unary = iff->condition->dynCast<Unary>()) {
          if (unary->op == EqZInt32) {
            // flip if-else arms to get rid of an eqz
            iff->condition = unary->value;
            std::swap(iff->ifTrue, iff->ifFalse);
          }
        }
        if (iff->condition->type != Type::unreachable &&
            ExpressionAnalyzer::equal(iff->ifTrue, iff->ifFalse)) {
          // sides are identical, fold
          // if we can replace the if with one arm, and no side effects in the
          // condition, do that
          auto needCondition = effects(iff->condition).hasSideEffects();
          auto isSubType = Type::isSubType(iff->ifTrue->type, iff->type);
          if (isSubType && !needCondition) {
            return iff->ifTrue;
          } else {
            Builder builder(*getModule());
            if (isSubType) {
              return builder.makeSequence(builder.makeDrop(iff->condition),
                                          iff->ifTrue);
            } else {
              // the types diff. as the condition is reachable, that means the
              // if must be concrete while the arm is not
              assert(iff->type.isConcrete() &&
                     iff->ifTrue->type == Type::unreachable);
              // emit a block with a forced type
              auto* ret = builder.makeBlock();
              if (needCondition) {
                ret->list.push_back(builder.makeDrop(iff->condition));
              }
              ret->list.push_back(iff->ifTrue);
              ret->finalize(iff->type);
              return ret;
            }
          }
        }
      }
    } else if (auto* br = curr->dynCast<Break>()) {
      if (br->condition) {
        br->condition = optimizeBoolean(br->condition);
      }
    } else if (auto* load = curr->dynCast<Load>()) {
      optimizeMemoryAccess(load->ptr, load->offset);
    } else if (auto* store = curr->dynCast<Store>()) {
      optimizeMemoryAccess(store->ptr, store->offset);
      if (store->valueType.isInteger()) {
        // truncates constant values during stores
        // (i32|i64).store(8|16|32)(p, C)   ==>
        //    (i32|i64).store(8|16|32)(p, C & mask)
        if (auto* c = store->value->dynCast<Const>()) {
          if (store->valueType == Type::i64 && store->bytes == 4) {
            c->value = c->value.and_(Literal(uint64_t(0xffffffff)));
          } else {
            c->value = c->value.and_(Literal::makeFromInt32(
              Bits::lowBitMask(store->bytes * 8), store->valueType));
          }
        }
      }
      // stores of fewer bits truncates anyhow
      if (auto* binary = store->value->dynCast<Binary>()) {
        if (binary->op == AndInt32) {
          if (auto* right = binary->right->dynCast<Const>()) {
            if (right->type == Type::i32) {
              auto mask = right->value.geti32();
              if ((store->bytes == 1 && mask == 0xff) ||
                  (store->bytes == 2 && mask == 0xffff)) {
                store->value = binary->left;
              }
            }
          }
        } else if (auto* ext = Properties::getSignExtValue(binary)) {
          // if sign extending the exact bit size we store, we can skip the
          // extension if extending something bigger, then we just alter bits we
          // don't save anyhow
          if (Properties::getSignExtBits(binary) >= Index(store->bytes) * 8) {
            store->value = ext;
          }
        }
      } else if (auto* unary = store->value->dynCast<Unary>()) {
        if (unary->op == WrapInt64) {
          // instead of wrapping to 32, just store some of the bits in the i64
          store->valueType = Type::i64;
          store->value = unary->value;
        }
      }
    } else if (auto* memCopy = curr->dynCast<MemoryCopy>()) {
      assert(features.hasBulkMemory());
      if (auto* ret = optimizeMemoryCopy(memCopy)) {
        return ret;
      }
    }
    return nullptr;
  }

  Index getMaxBitsForLocal(LocalGet* get) {
    // check what we know about the local
    return localInfo[get->index].maxBits;
  }

private:
  // Information about our locals
  std::vector<LocalInfo> localInfo;

  // Canonicalizing the order of a symmetric binary helps us
  // write more concise pattern matching code elsewhere.
  void canonicalize(Binary* binary) {
    assert(shouldCanonicalize(binary));
    auto swap = [&]() {
      assert(canReorder(binary->left, binary->right));
      if (binary->isRelational()) {
        binary->op = reverseRelationalOp(binary->op);
      }
      std::swap(binary->left, binary->right);
    };
    auto maybeSwap = [&]() {
      if (canReorder(binary->left, binary->right)) {
        swap();
      }
    };
    // Prefer a const on the right.
    if (binary->left->is<Const>() && !binary->right->is<Const>()) {
      return swap();
    }
    if (auto* c = binary->right->dynCast<Const>()) {
      // x - C  ==>   x + (-C)
      // Prefer use addition if there is a constant on the right.
      if (binary->op == Abstract::getBinary(c->type, Abstract::Sub)) {
        c->value = c->value.neg();
        binary->op = Abstract::getBinary(c->type, Abstract::Add);
      }
      return;
    }
    // Prefer a get on the right.
    if (binary->left->is<LocalGet>() && !binary->right->is<LocalGet>()) {
      return maybeSwap();
    }
    // Sort by the node id type, if different.
    if (binary->left->_id != binary->right->_id) {
      if (binary->left->_id > binary->right->_id) {
        return maybeSwap();
      }
      return;
    }
    // If the children have the same node id, we have to go deeper.
    if (auto* left = binary->left->dynCast<Unary>()) {
      auto* right = binary->right->cast<Unary>();
      if (left->op > right->op) {
        return maybeSwap();
      }
    }
    if (auto* left = binary->left->dynCast<Binary>()) {
      auto* right = binary->right->cast<Binary>();
      if (left->op > right->op) {
        return maybeSwap();
      }
    }
    if (auto* left = binary->left->dynCast<LocalGet>()) {
      auto* right = binary->right->cast<LocalGet>();
      if (left->index > right->index) {
        return maybeSwap();
      }
    }
  }

  // Optimize given that the expression is flowing into a boolean context
  Expression* optimizeBoolean(Expression* boolean) {
    // TODO use a general getFallthroughs
    if (auto* unary = boolean->dynCast<Unary>()) {
      if (unary) {
        if (unary->op == EqZInt32) {
          auto* unary2 = unary->value->dynCast<Unary>();
          if (unary2 && unary2->op == EqZInt32) {
            // double eqz
            return unary2->value;
          }
          if (auto* binary = unary->value->dynCast<Binary>()) {
            // !(x <=> y)   ==>   x <!=> y
            auto op = invertBinaryOp(binary->op);
            if (op != InvalidBinary) {
              binary->op = op;
              return binary;
            }
          }
        }
      }
    } else if (auto* binary = boolean->dynCast<Binary>()) {
      if (binary->op == SubInt32) {
        if (auto* c = binary->left->dynCast<Const>()) {
          if (c->value.geti32() == 0) {
            // bool(0 - x)   ==>   bool(x)
            return binary->right;
          }
        }
      } else if (binary->op == OrInt32) {
        // an or flowing into a boolean context can consider each input as
        // boolean
        binary->left = optimizeBoolean(binary->left);
        binary->right = optimizeBoolean(binary->right);
      } else if (binary->op == NeInt32) {
        if (auto* c = binary->right->dynCast<Const>()) {
          // x != 0 is just x if it's used as a bool
          if (c->value.geti32() == 0) {
            return binary->left;
          }
          // TODO: Perhaps use it for separate final pass???
          // x != -1   ==>    x ^ -1
          // if (num->value.geti32() == -1) {
          //   binary->op = XorInt32;
          //   return binary;
          // }
        }
      } else if (binary->op == RemSInt32) {
        // bool(i32(x) % C_pot)  ==>  bool(x & (C_pot - 1))
        // bool(i32(x) % min_s)  ==>  bool(x & max_s)
        if (auto* c = binary->right->dynCast<Const>()) {
          if (c->value.isSignedMin() ||
              Bits::isPowerOf2(c->value.abs().geti32())) {
            binary->op = AndInt32;
            if (c->value.isSignedMin()) {
              c->value = Literal::makeSignedMax(Type::i32);
            } else {
              c->value = c->value.abs().sub(Literal::makeOne(Type::i32));
            }
            return binary;
          }
        }
      }
      if (auto* ext = Properties::getSignExtValue(binary)) {
        // use a cheaper zero-extent, we just care about the boolean value
        // anyhow
        return makeZeroExt(ext, Properties::getSignExtBits(binary));
      }
    } else if (auto* block = boolean->dynCast<Block>()) {
      if (block->type == Type::i32 && block->list.size() > 0) {
        block->list.back() = optimizeBoolean(block->list.back());
      }
    } else if (auto* iff = boolean->dynCast<If>()) {
      if (iff->type == Type::i32) {
        iff->ifTrue = optimizeBoolean(iff->ifTrue);
        iff->ifFalse = optimizeBoolean(iff->ifFalse);
      }
    } else if (auto* select = boolean->dynCast<Select>()) {
      select->ifTrue = optimizeBoolean(select->ifTrue);
      select->ifFalse = optimizeBoolean(select->ifFalse);
    } else if (auto* tryy = boolean->dynCast<Try>()) {
      if (tryy->type == Type::i32) {
        tryy->body = optimizeBoolean(tryy->body);
        for (Index i = 0; i < tryy->catchBodies.size(); i++) {
          tryy->catchBodies[i] = optimizeBoolean(tryy->catchBodies[i]);
        }
      }
    }
    // TODO: recurse into br values?
    return boolean;
  }

  Expression* optimizeSelect(Select* curr) {
    using namespace Match;
    Builder builder(*getModule());
    curr->condition = optimizeBoolean(curr->condition);
    {
      // Constant condition, we can just pick the correct side (barring side
      // effects)
      Expression *ifTrue, *ifFalse;
      if (matches(curr, select(pure(&ifTrue), any(&ifFalse), i32(0)))) {
        return ifFalse;
      }
      if (matches(curr, select(any(&ifTrue), any(&ifFalse), i32(0)))) {
        return builder.makeSequence(builder.makeDrop(ifTrue), ifFalse);
      }
      int32_t cond;
      if (matches(curr, select(any(&ifTrue), pure(&ifFalse), i32(&cond)))) {
        // The condition must be non-zero because a zero would have matched one
        // of the previous patterns.
        assert(cond != 0);
        return ifTrue;
      }
      // Don't bother when `ifFalse` isn't pure - we would need to reverse the
      // order using a temp local, which would be bad
    }
    {
      // Flip select to remove eqz if we can reorder
      Select* s;
      Expression *ifTrue, *ifFalse, *c;
      if (matches(
            curr,
            select(
              &s, any(&ifTrue), any(&ifFalse), unary(EqZInt32, any(&c)))) &&
          canReorder(ifTrue, ifFalse)) {
        s->ifTrue = ifFalse;
        s->ifFalse = ifTrue;
        s->condition = c;
      }
    }
    {
      // Simplify selects between 0 and 1
      Expression* c;
      bool reversed = matches(curr, select(ival(0), ival(1), any(&c)));
      if (reversed || matches(curr, select(ival(1), ival(0), any(&c)))) {
        if (reversed) {
          c = optimizeBoolean(builder.makeUnary(EqZInt32, c));
        }
        if (!Properties::emitsBoolean(c)) {
          // cond ? 1 : 0 ==> !!cond
          c = builder.makeUnary(EqZInt32, builder.makeUnary(EqZInt32, c));
        }
        return curr->type == Type::i64 ? builder.makeUnary(ExtendUInt32, c) : c;
      }
    }
    {
      // Sides are identical, fold
      Expression *ifTrue, *ifFalse, *c;
      if (matches(curr, select(any(&ifTrue), any(&ifFalse), any(&c))) &&
          ExpressionAnalyzer::equal(ifTrue, ifFalse)) {
        auto value = effects(ifTrue);
        if (value.hasSideEffects()) {
          // At best we don't need the condition, but need to execute the
          // value twice. a block is larger than a select by 2 bytes, and we
          // must drop one value, so 3, while we save the condition, so it's
          // not clear this is worth it, TODO
        } else {
          // value has no side effects
          auto condition = effects(c);
          if (!condition.hasSideEffects()) {
            return ifTrue;
          } else {
            // The condition is last, so we need a new local, and it may be a
            // bad idea to use a block like we do for an if. Do it only if we
            // can reorder
            if (!condition.invalidates(value)) {
              return builder.makeSequence(builder.makeDrop(c), ifTrue);
            }
          }
        }
      }
    }
    return nullptr;
  }

  // find added constants in an expression tree, including multiplied/shifted,
  // and combine them note that we ignore division/shift-right, as rounding
  // makes this nonlinear, so not a valid opt
  Expression* optimizeAddedConstants(Binary* binary) {
    assert(binary->type.isInteger());

    uint64_t constant = 0;
    std::vector<Const*> constants;

    struct SeekState {
      Expression* curr;
      uint64_t mul;
      SeekState(Expression* curr, uint64_t mul) : curr(curr), mul(mul) {}
    };
    std::vector<SeekState> seekStack;
    seekStack.emplace_back(binary, 1);
    while (!seekStack.empty()) {
      auto state = seekStack.back();
      seekStack.pop_back();
      auto curr = state.curr;
      auto mul = state.mul;
      if (auto* c = curr->dynCast<Const>()) {
        uint64_t value = c->value.getInteger();
        if (value != 0ULL) {
          constant += value * mul;
          constants.push_back(c);
        }
        continue;
      } else if (auto* binary = curr->dynCast<Binary>()) {
        if (binary->op == Abstract::getBinary(binary->type, Abstract::Add)) {
          seekStack.emplace_back(binary->right, mul);
          seekStack.emplace_back(binary->left, mul);
          continue;
        } else if (binary->op ==
                   Abstract::getBinary(binary->type, Abstract::Sub)) {
          // if the left is a zero, ignore it, it's how we negate ints
          auto* left = binary->left->dynCast<Const>();
          seekStack.emplace_back(binary->right, -mul);
          if (!left || !left->value.isZero()) {
            seekStack.emplace_back(binary->left, mul);
          }
          continue;
        } else if (binary->op ==
                   Abstract::getBinary(binary->type, Abstract::Shl)) {
          if (auto* c = binary->right->dynCast<Const>()) {
            seekStack.emplace_back(binary->left,
                                   mul << Bits::getEffectiveShifts(c));
            continue;
          }
        } else if (binary->op ==
                   Abstract::getBinary(binary->type, Abstract::Mul)) {
          if (auto* c = binary->left->dynCast<Const>()) {
            seekStack.emplace_back(binary->right,
                                   mul * (uint64_t)c->value.getInteger());
            continue;
          } else if (auto* c = binary->right->dynCast<Const>()) {
            seekStack.emplace_back(binary->left,
                                   mul * (uint64_t)c->value.getInteger());
            continue;
          }
        }
      }
    };
    // find all factors
    if (constants.size() <= 1) {
      // nothing much to do, except for the trivial case of adding/subbing a
      // zero
      if (auto* c = binary->right->dynCast<Const>()) {
        if (c->value.isZero()) {
          return binary->left;
        }
      }
      return nullptr;
    }
    // wipe out all constants, we'll replace with a single added one
    for (auto* c : constants) {
      c->value = Literal::makeZero(c->type);
    }
    // remove added/subbed zeros
    struct ZeroRemover : public PostWalker<ZeroRemover> {
      // TODO: we could save the binarys and costs we drop, and reuse them later

      PassOptions& passOptions;

      ZeroRemover(PassOptions& passOptions) : passOptions(passOptions) {}

      void visitBinary(Binary* curr) {
        if (!curr->type.isInteger()) {
          return;
        }
        FeatureSet features = getModule()->features;
        auto type = curr->type;
        auto* left = curr->left->dynCast<Const>();
        auto* right = curr->right->dynCast<Const>();
        // Canonicalization prefers an add instead of a subtract wherever
        // possible. That prevents a subtracted constant on the right,
        // as it would be added. And for a zero on the left, it can't be
        // removed (it is how we negate ints).
        if (curr->op == Abstract::getBinary(type, Abstract::Add)) {
          if (left && left->value.isZero()) {
            replaceCurrent(curr->right);
            return;
          }
          if (right && right->value.isZero()) {
            replaceCurrent(curr->left);
            return;
          }
        } else if (curr->op == Abstract::getBinary(type, Abstract::Shl)) {
          // shifting a 0 is a 0, or anything by 0 has no effect, all unless the
          // shift has side effects
          if (((left && left->value.isZero()) ||
               (right && Bits::getEffectiveShifts(right) == 0)) &&
              !EffectAnalyzer(passOptions, features, curr->right)
                 .hasSideEffects()) {
            replaceCurrent(curr->left);
            return;
          }
        } else if (curr->op == Abstract::getBinary(type, Abstract::Mul)) {
          // multiplying by zero is a zero, unless the other side has side
          // effects
          if (left && left->value.isZero() &&
              !EffectAnalyzer(passOptions, features, curr->right)
                 .hasSideEffects()) {
            replaceCurrent(left);
            return;
          }
          if (right && right->value.isZero() &&
              !EffectAnalyzer(passOptions, features, curr->left)
                 .hasSideEffects()) {
            replaceCurrent(right);
            return;
          }
        }
      }
    };
    Expression* walked = binary;
    ZeroRemover remover(getPassOptions());
    remover.setModule(getModule());
    remover.walk(walked);
    if (constant == 0ULL) {
      return walked; // nothing more to do
    }
    if (auto* c = walked->dynCast<Const>()) {
      assert(c->value.isZero());
      // Accumulated 64-bit constant value in 32-bit context will be wrapped
      // during downcasting. So it's valid unification for 32-bit and 64-bit
      // values.
      c->value = Literal::makeFromInt64(constant, c->type);
      return c;
    }
    Builder builder(*getModule());
    return builder.makeBinary(
      Abstract::getBinary(walked->type, Abstract::Add),
      walked,
      builder.makeConst(Literal::makeFromInt64(constant, walked->type)));
  }

  //   expensive1 | expensive2 can be turned into expensive1 ? 1 : expensive2,
  //   and expensive | cheap     can be turned into cheap     ? 1 : expensive,
  // so that we can avoid one expensive computation, if it has no side effects.
  Expression* conditionalizeExpensiveOnBitwise(Binary* binary) {
    // this operation can increase code size, so don't always do it
    auto& options = getPassRunner()->options;
    if (options.optimizeLevel < 2 || options.shrinkLevel > 0) {
      return nullptr;
    }
    const auto MIN_COST = 7;
    assert(binary->op == AndInt32 || binary->op == OrInt32);
    if (binary->right->is<Const>()) {
      return nullptr; // trivial
    }
    // bitwise logical operator on two non-numerical values, check if they are
    // boolean
    auto* left = binary->left;
    auto* right = binary->right;
    if (!Properties::emitsBoolean(left) || !Properties::emitsBoolean(right)) {
      return nullptr;
    }
    auto leftEffects = effects(left);
    auto rightEffects = effects(right);
    auto leftHasSideEffects = leftEffects.hasSideEffects();
    auto rightHasSideEffects = rightEffects.hasSideEffects();
    if (leftHasSideEffects && rightHasSideEffects) {
      return nullptr; // both must execute
    }
    // canonicalize with side effects, if any, happening on the left
    if (rightHasSideEffects) {
      if (CostAnalyzer(left).cost < MIN_COST) {
        return nullptr; // avoidable code is too cheap
      }
      if (leftEffects.invalidates(rightEffects)) {
        return nullptr; // cannot reorder
      }
      std::swap(left, right);
    } else if (leftHasSideEffects) {
      if (CostAnalyzer(right).cost < MIN_COST) {
        return nullptr; // avoidable code is too cheap
      }
    } else {
      // no side effects, reorder based on cost estimation
      auto leftCost = CostAnalyzer(left).cost;
      auto rightCost = CostAnalyzer(right).cost;
      if (std::max(leftCost, rightCost) < MIN_COST) {
        return nullptr; // avoidable code is too cheap
      }
      // canonicalize with expensive code on the right
      if (leftCost > rightCost) {
        std::swap(left, right);
      }
    }
    // worth it! perform conditionalization
    Builder builder(*getModule());
    if (binary->op == OrInt32) {
      return builder.makeIf(
        left, builder.makeConst(Literal(int32_t(1))), right);
    } else { // &
      return builder.makeIf(
        left, right, builder.makeConst(Literal(int32_t(0))));
    }
  }

  // We can combine `or` operations, e.g.
  //   (x > y) | (x == y)    ==>    x >= y
  Expression* combineOr(Binary* binary) {
    assert(binary->op == OrInt32);
    if (auto* left = binary->left->dynCast<Binary>()) {
      if (auto* right = binary->right->dynCast<Binary>()) {
        if (left->op != right->op &&
            ExpressionAnalyzer::equal(left->left, right->left) &&
            ExpressionAnalyzer::equal(left->right, right->right) &&
            !effects(left->left).hasSideEffects() &&
            !effects(left->right).hasSideEffects()) {
          switch (left->op) {
            //   (x > y) | (x == y)    ==>    x >= y
            case EqInt32: {
              if (right->op == GtSInt32) {
                left->op = GeSInt32;
                return left;
              }
              break;
            }
            default: {
            }
          }
        }
      }
    }
    return nullptr;
  }

  // fold constant factors into the offset
  void optimizeMemoryAccess(Expression*& ptr, Address& offset) {
    // ptr may be a const, but it isn't worth folding that in (we still have a
    // const); in fact, it's better to do the opposite for gzip purposes as well
    // as for readability.
    auto* last = ptr->dynCast<Const>();
    if (last) {
      uint64_t value64 = last->value.getInteger();
      uint64_t offset64 = offset;
      if (getModule()->memory.is64()) {
        last->value = Literal(int64_t(value64 + offset64));
        offset = 0;
      } else {
        // don't do this if it would wrap the pointer
        if (value64 <= uint64_t(std::numeric_limits<int32_t>::max()) &&
            offset64 <= uint64_t(std::numeric_limits<int32_t>::max()) &&
            value64 + offset64 <=
              uint64_t(std::numeric_limits<int32_t>::max())) {
          last->value = Literal(int32_t(value64 + offset64));
          offset = 0;
        }
      }
    }
  }

  // Optimize a multiply by a power of two on the right, which
  // can be a shift.
  // This doesn't shrink code size, and VMs likely optimize it anyhow,
  // but it's still worth doing since
  //  * Often shifts are more common than muls.
  //  * The constant is smaller.
  template<typename T> Expression* optimizePowerOf2Mul(Binary* binary, T c) {
    static_assert(std::is_same<T, uint32_t>::value ||
                    std::is_same<T, uint64_t>::value,
                  "type mismatch");
    auto shifts = Bits::countTrailingZeroes(c);
    binary->op = std::is_same<T, uint32_t>::value ? ShlInt32 : ShlInt64;
    binary->right->cast<Const>()->value = Literal(static_cast<T>(shifts));
    return binary;
  }

  // Optimize an unsigned divide / remainder by a power of two on the right
  // This doesn't shrink code size, and VMs likely optimize it anyhow,
  // but it's still worth doing since
  //  * Usually ands are more common than urems.
  //  * The constant is slightly smaller.
  template<typename T> Expression* optimizePowerOf2URem(Binary* binary, T c) {
    static_assert(std::is_same<T, uint32_t>::value ||
                    std::is_same<T, uint64_t>::value,
                  "type mismatch");
    binary->op = std::is_same<T, uint32_t>::value ? AndInt32 : AndInt64;
    binary->right->cast<Const>()->value = Literal(c - 1);
    return binary;
  }

  template<typename T> Expression* optimizePowerOf2UDiv(Binary* binary, T c) {
    static_assert(std::is_same<T, uint32_t>::value ||
                    std::is_same<T, uint64_t>::value,
                  "type mismatch");
    auto shifts = Bits::countTrailingZeroes(c);
    binary->op = std::is_same<T, uint32_t>::value ? ShrUInt32 : ShrUInt64;
    binary->right->cast<Const>()->value = Literal(static_cast<T>(shifts));
    return binary;
  }

  template<typename T> Expression* optimizePowerOf2FDiv(Binary* binary, T c) {
    //
    // x / C_pot    =>   x * (C_pot ^ -1)
    //
    // Explanation:
    // Floating point numbers are represented as:
    //    ((-1) ^ sign) * (2 ^ (exp - bias)) * (1 + significand)
    //
    // If we have power of two numbers, then the mantissa (significand)
    // is all zeros. Let's focus on the exponent, ignoring the sign part:
    //    (2 ^ (exp - bias))
    //
    // and for inverted power of two floating point:
    //     1.0 / (2 ^ (exp - bias))   ->   2 ^ -(exp - bias)
    //
    // So inversion of C_pot is valid because it changes only the sign
    // of the exponent part and doesn't touch the significand part,
    // which remains the same (zeros).
    static_assert(std::is_same<T, float>::value ||
                    std::is_same<T, double>::value,
                  "type mismatch");
    double invDivisor = 1.0 / (double)c;
    binary->op = std::is_same<T, float>::value ? MulFloat32 : MulFloat64;
    binary->right->cast<Const>()->value = Literal(static_cast<T>(invDivisor));
    return binary;
  }

  Expression* makeZeroExt(Expression* curr, int32_t bits) {
    Builder builder(*getModule());
    return builder.makeBinary(
      AndInt32, curr, builder.makeConst(Literal(Bits::lowBitMask(bits))));
  }

  // given an "almost" sign extend - either a proper one, or it
  // has too many shifts left - we remove the sign extend. If there are
  // too many shifts, we split the shifts first, so this removes the
  // two sign extend shifts and adds one (smaller one)
  Expression* removeAlmostSignExt(Binary* outer) {
    auto* inner = outer->left->cast<Binary>();
    auto* outerConst = outer->right->cast<Const>();
    auto* innerConst = inner->right->cast<Const>();
    auto* value = inner->left;
    if (outerConst->value == innerConst->value) {
      return value;
    }
    // add a shift, by reusing the existing node
    innerConst->value = innerConst->value.sub(outerConst->value);
    return inner;
  }

  // check if an expression is already sign-extended
  bool isSignExted(Expression* curr, Index bits) {
    if (Properties::getSignExtValue(curr)) {
      return Properties::getSignExtBits(curr) == bits;
    }
    if (auto* get = curr->dynCast<LocalGet>()) {
      // check what we know about the local
      return localInfo[get->index].signExtedBits == bits;
    }
    return false;
  }

  // optimize trivial math operations, given that the right side of a binary
  // is a constant
  Expression* optimizeWithConstantOnRight(Binary* curr) {
    using namespace Match;
    using namespace Abstract;
    Builder builder(*getModule());
    Expression* left;
    auto* right = curr->right->cast<Const>();
    auto type = curr->right->type;

    // Operations on zero
    if (matches(curr, binary(Shl, any(&left), ival(0))) ||
        matches(curr, binary(ShrU, any(&left), ival(0))) ||
        matches(curr, binary(ShrS, any(&left), ival(0))) ||
        matches(curr, binary(Or, any(&left), ival(0))) ||
        matches(curr, binary(Xor, any(&left), ival(0)))) {
      return left;
    }
    if (matches(curr, binary(Mul, pure(&left), ival(0))) ||
        matches(curr, binary(And, pure(&left), ival(0)))) {
      return right;
    }
    // x == 0   ==>   eqz x
    if (matches(curr, binary(Eq, any(&left), ival(0)))) {
      return builder.makeUnary(Abstract::getUnary(type, EqZ), left);
    }
    // Operations on one
    // (signed)x % 1   ==>   0
    if (matches(curr, binary(RemS, pure(&left), ival(1)))) {
      right->value = Literal::makeZero(type);
      return right;
    }
    // (signed)x % C_pot != 0   ==>  (x & (abs(C_pot) - 1)) != 0
    {
      Const* c;
      Binary* inner;
      if (matches(curr,
                  binary(Ne, binary(&inner, RemS, any(), ival(&c)), ival(0))) &&
          (c->value.isSignedMin() ||
           Bits::isPowerOf2(c->value.abs().getInteger()))) {
        inner->op = Abstract::getBinary(c->type, And);
        if (c->value.isSignedMin()) {
          c->value = Literal::makeSignedMax(c->type);
        } else {
          c->value = c->value.abs().sub(Literal::makeOne(c->type));
        }
        return curr;
      }
    }
    // i32(bool(x)) == 1  ==>  i32(bool(x))
    // i32(bool(x)) != 0  ==>  i32(bool(x))
    // i32(bool(x)) & 1   ==>  i32(bool(x))
    // i64(bool(x)) & 1   ==>  i64(bool(x))
    if ((matches(curr, binary(EqInt32, any(&left), i32(1))) ||
         matches(curr, binary(NeInt32, any(&left), i32(0))) ||
         matches(curr, binary(And, any(&left), ival(1)))) &&
        Bits::getMaxBits(left, this) == 1) {
      return left;
    }
    // i64(bool(x)) == 1  ==>  i32(bool(x))
    // i64(bool(x)) != 0  ==>  i32(bool(x))
    if ((matches(curr, binary(EqInt64, any(&left), i64(1))) ||
         matches(curr, binary(NeInt64, any(&left), i64(0)))) &&
        Bits::getMaxBits(left, this) == 1) {
      return builder.makeUnary(WrapInt64, left);
    }
    // bool(x) != 1  ==>  !bool(x)
    if (matches(curr, binary(Ne, any(&left), ival(1))) &&
        Bits::getMaxBits(left, this) == 1) {
      return builder.makeUnary(Abstract::getUnary(type, EqZ), left);
    }
    // bool(x) | 1  ==>  1
    if (matches(curr, binary(Or, pure(&left), ival(1))) &&
        Bits::getMaxBits(left, this) == 1) {
      return right;
    }

    // Operations on all 1s
    // x & -1   ==>   x
    if (matches(curr, binary(And, any(&left), ival(-1)))) {
      return left;
    }
    // x | -1   ==>   -1
    if (matches(curr, binary(Or, pure(&left), ival(-1)))) {
      return right;
    }
    // (signed)x % -1   ==>   0
    if (matches(curr, binary(RemS, pure(&left), ival(-1)))) {
      right->value = Literal::makeZero(type);
      return right;
    }
    // i32(x) / i32.min_s   ==>   x == i32.min_s
    if (matches(
          curr,
          binary(DivSInt32, any(), i32(std::numeric_limits<int32_t>::min())))) {
      curr->op = EqInt32;
      return curr;
    }
    // i64(x) / i64.min_s   ==>   i64(x == i64.min_s)
    // only for zero shrink level
    if (getPassOptions().shrinkLevel == 0 &&
        matches(
          curr,
          binary(DivSInt64, any(), i64(std::numeric_limits<int64_t>::min())))) {
      curr->op = EqInt64;
      curr->type = Type::i32;
      return Builder(*getModule()).makeUnary(ExtendUInt32, curr);
    }
    // (unsigned)x < 0   ==>   i32(0)
    if (matches(curr, binary(LtU, pure(&left), ival(0)))) {
      right->value = Literal::makeZero(Type::i32);
      right->type = Type::i32;
      return right;
    }
    // (unsigned)x <= -1  ==>   i32(1)
    if (matches(curr, binary(LeU, pure(&left), ival(-1)))) {
      right->value = Literal::makeOne(Type::i32);
      right->type = Type::i32;
      return right;
    }
    // (unsigned)x > -1   ==>   i32(0)
    if (matches(curr, binary(GtU, pure(&left), ival(-1)))) {
      right->value = Literal::makeZero(Type::i32);
      right->type = Type::i32;
      return right;
    }
    // (unsigned)x >= 0   ==>   i32(1)
    if (matches(curr, binary(GeU, pure(&left), ival(0)))) {
      right->value = Literal::makeOne(Type::i32);
      right->type = Type::i32;
      return right;
    }
    // (unsigned)x < -1   ==>   x != -1
    // Friendlier to JS emitting as we don't need to write an unsigned -1 value
    // which is large.
    if (matches(curr, binary(LtU, any(), ival(-1)))) {
      curr->op = Abstract::getBinary(type, Ne);
      return curr;
    }
    // (unsigned)x <= 0   ==>   x == 0
    if (matches(curr, binary(LeU, any(), ival(0)))) {
      curr->op = Abstract::getBinary(type, Eq);
      return curr;
    }
    // (unsigned)x > 0   ==>   x != 0
    if (matches(curr, binary(GtU, any(), ival(0)))) {
      curr->op = Abstract::getBinary(type, Ne);
      return curr;
    }
    // (unsigned)x >= -1  ==>   x == -1
    if (matches(curr, binary(GeU, any(), ival(-1)))) {
      curr->op = Abstract::getBinary(type, Eq);
      return curr;
    }
    {
      Const* c;
      // (signed)x < (i32|i64).min_s   ==>   i32(0)
      if (matches(curr, binary(LtS, pure(&left), ival(&c))) &&
          c->value.isSignedMin()) {
        right->value = Literal::makeZero(Type::i32);
        right->type = Type::i32;
        return right;
      }
      // (signed)x <= (i32|i64).max_s   ==>   i32(1)
      if (matches(curr, binary(LeS, pure(&left), ival(&c))) &&
          c->value.isSignedMax()) {
        right->value = Literal::makeOne(Type::i32);
        right->type = Type::i32;
        return right;
      }
      // (signed)x > (i32|i64).max_s   ==>   i32(0)
      if (matches(curr, binary(GtS, pure(&left), ival(&c))) &&
          c->value.isSignedMax()) {
        right->value = Literal::makeZero(Type::i32);
        right->type = Type::i32;
        return right;
      }
      // (signed)x >= (i32|i64).min_s   ==>   i32(1)
      if (matches(curr, binary(GeS, pure(&left), ival(&c))) &&
          c->value.isSignedMin()) {
        right->value = Literal::makeOne(Type::i32);
        right->type = Type::i32;
        return right;
      }
      // (signed)x < (i32|i64).max_s   ==>   x != (i32|i64).max_s
      if (matches(curr, binary(LtS, any(), ival(&c))) &&
          c->value.isSignedMax()) {
        curr->op = Abstract::getBinary(type, Ne);
        return curr;
      }
      // (signed)x <= (i32|i64).min_s   ==>   x == (i32|i64).min_s
      if (matches(curr, binary(LeS, any(), ival(&c))) &&
          c->value.isSignedMin()) {
        curr->op = Abstract::getBinary(type, Eq);
        return curr;
      }
      // (signed)x > (i32|i64).min_s   ==>   x != (i32|i64).min_s
      if (matches(curr, binary(GtS, any(), ival(&c))) &&
          c->value.isSignedMin()) {
        curr->op = Abstract::getBinary(type, Ne);
        return curr;
      }
      // (signed)x >= (i32|i64).max_s   ==>   x == (i32|i64).max_s
      if (matches(curr, binary(GeS, any(), ival(&c))) &&
          c->value.isSignedMax()) {
        curr->op = Abstract::getBinary(type, Eq);
        return curr;
      }
    }
    // x * -1   ==>   0 - x
    if (matches(curr, binary(Mul, any(&left), ival(-1)))) {
      right->value = Literal::makeZero(type);
      curr->op = Abstract::getBinary(type, Sub);
      curr->left = right;
      curr->right = left;
      return curr;
    }
    {
      // ~(1 << x) aka (1 << x) ^ -1  ==>  rotl(-2, x)
      Expression* x;
      if (matches(curr, binary(Xor, binary(Shl, ival(1), any(&x)), ival(-1)))) {
        curr->op = Abstract::getBinary(type, RotL);
        right->value = Literal::makeFromInt32(-2, type);
        curr->left = right;
        curr->right = x;
        return curr;
      }
    }
    {
      double value;
      if (matches(curr, binary(Sub, any(), fval(&value))) && value == 0.0) {
        // x - (-0.0)   ==>   x + 0.0
        if (std::signbit(value)) {
          curr->op = Abstract::getBinary(type, Add);
          right->value = right->value.neg();
          return curr;
        } else if (fastMath) {
          // x - 0.0   ==>   x
          return curr->left;
        }
      }
    }
    {
      // x * 2.0  ==>  x + x
      // but we apply this only for simple expressions like
      // local.get and global.get for avoid using extra local
      // variable.
      Expression* x;
      if (matches(curr, binary(Mul, any(&x), fval(2.0))) &&
          (x->is<LocalGet>() || x->is<GlobalGet>())) {
        curr->op = Abstract::getBinary(type, Abstract::Add);
        curr->right = ExpressionManipulator::copy(x, *getModule());
        return curr;
      }
    }
    {
      // x + (-0.0)   ==>   x
      double value;
      if (fastMath && matches(curr, binary(Add, any(), fval(&value))) &&
          value == 0.0 && std::signbit(value)) {
        return curr->left;
      }
    }
    // -x * fval(C)   ==>   x * -C
    // -x / fval(C)   ==>   x / -C
    if (matches(curr, binary(Mul, unary(Neg, any(&left)), fval())) ||
        matches(curr, binary(DivS, unary(Neg, any(&left)), fval()))) {
      right->value = right->value.neg();
      curr->left = left;
      return curr;
    }
    // x * -1.0   ==>
    //       -x,  if fastMath == true
    // -0.0 - x,  if fastMath == false
    if (matches(curr, binary(Mul, any(), fval(-1.0)))) {
      if (fastMath) {
        return builder.makeUnary(Abstract::getUnary(type, Neg), left);
      }
      // x * -1.0   ==>  -0.0 - x
      curr->op = Abstract::getBinary(type, Sub);
      right->value = Literal::makeZero(type).neg();
      std::swap(curr->left, curr->right);
      return curr;
    }
    if (matches(curr, binary(Mul, any(&left), constant(1))) ||
        matches(curr, binary(DivS, any(&left), constant(1))) ||
        matches(curr, binary(DivU, any(&left), constant(1)))) {
      if (curr->type.isInteger() || fastMath) {
        return left;
      }
    }
    return nullptr;
  }

  // optimize trivial math operations, given that the left side of a binary
  // is a constant. since we canonicalize constants to the right for symmetrical
  // operations, we only need to handle asymmetrical ones here
  // TODO: templatize on type?
  Expression* optimizeWithConstantOnLeft(Binary* curr) {
    using namespace Match;
    using namespace Abstract;

    auto type = curr->left->type;
    auto* left = curr->left->cast<Const>();
    // 0 <<>> x   ==>   0
    if (Abstract::hasAnyShift(curr->op) && left->value.isZero() &&
        !effects(curr->right).hasSideEffects()) {
      return curr->left;
    }
    // (signed)-1 >> x   ==>   -1
    // rotl(-1, x)       ==>   -1
    // rotr(-1, x)       ==>   -1
    if ((curr->op == Abstract::getBinary(type, ShrS) ||
         curr->op == Abstract::getBinary(type, RotL) ||
         curr->op == Abstract::getBinary(type, RotR)) &&
        left->value.getInteger() == -1LL &&
        !effects(curr->right).hasSideEffects()) {
      return curr->left;
    }
    {
      // C1 - (x + C2)  ==>  (C1 - C2) - x
      Const *c1, *c2;
      Expression* x;
      if (matches(curr,
                  binary(Sub, ival(&c1), binary(Add, any(&x), ival(&c2))))) {
        left->value = c1->value.sub(c2->value);
        curr->right = x;
        return curr;
      }
      // C1 - (C2 - x)  ==>   x + (C1 - C2)
      if (matches(curr,
                  binary(Sub, ival(&c1), binary(Sub, ival(&c2), any(&x))))) {
        left->value = c1->value.sub(c2->value);
        curr->op = Abstract::getBinary(type, Add);
        curr->right = x;
        std::swap(curr->left, curr->right);
        return curr;
      }
    }
    {
      // fval(C) / -x   ==>  -C / x
      Expression* right;
      if (matches(curr, binary(DivS, fval(), unary(Neg, any(&right))))) {
        left->value = left->value.neg();
        curr->right = right;
        return curr;
      }
    }
    return nullptr;
  }

  // TODO: templatize on type?
  Expression* optimizeRelational(Binary* curr) {
    auto type = curr->right->type;
    if (curr->left->type.isInteger()) {
      if (curr->op == Abstract::getBinary(type, Abstract::Eq) ||
          curr->op == Abstract::getBinary(type, Abstract::Ne)) {
        if (auto* left = curr->left->dynCast<Binary>()) {
          // TODO: inequalities can also work, if the constants do not overflow
          // integer math, even on 2s complement, allows stuff like
          // x + 5 == 7
          //   =>
          //     x == 2
          if (left->op == Abstract::getBinary(type, Abstract::Add)) {
            if (auto* leftConst = left->right->dynCast<Const>()) {
              if (auto* rightConst = curr->right->dynCast<Const>()) {
                return combineRelationalConstants(
                  curr, left, leftConst, nullptr, rightConst);
              } else if (auto* rightBinary = curr->right->dynCast<Binary>()) {
                if (rightBinary->op ==
                    Abstract::getBinary(type, Abstract::Add)) {
                  if (auto* rightConst = rightBinary->right->dynCast<Const>()) {
                    return combineRelationalConstants(
                      curr, left, leftConst, rightBinary, rightConst);
                  }
                }
              }
            }
          }
        }
      }
      // x - y == 0  =>  x == y
      // x - y != 0  =>  x != y
      // unsigned(x - y) > 0    =>   x != y
      // unsigned(x - y) <= 0   =>   x == y
      {
        using namespace Abstract;
        using namespace Match;

        Binary* inner;
        // unsigned(x - y) > 0    =>   x != y
        if (matches(curr,
                    binary(GtU, binary(&inner, Sub, any(), any()), ival(0)))) {
          curr->op = Abstract::getBinary(type, Ne);
          curr->right = inner->right;
          curr->left = inner->left;
          return curr;
        }
        // unsigned(x - y) <= 0   =>   x == y
        if (matches(curr,
                    binary(LeU, binary(&inner, Sub, any(), any()), ival(0)))) {
          curr->op = Abstract::getBinary(type, Eq);
          curr->right = inner->right;
          curr->left = inner->left;
          return curr;
        }
        // x - y == 0  =>  x == y
        // x - y != 0  =>  x != y
        // This is not true for signed comparisons like x -y < 0 due to overflow
        // effects (e.g. 8 - 0x80000000 < 0 is not the same as 8 < 0x80000000).
        if (matches(curr,
                    binary(Eq, binary(&inner, Sub, any(), any()), ival(0))) ||
            matches(curr,
                    binary(Ne, binary(&inner, Sub, any(), any()), ival(0)))) {
          curr->right = inner->right;
          curr->left = inner->left;
          return curr;
        }
      }
    }
    return nullptr;
  }

  Expression* deduplicateUnary(Unary* unaryOuter) {
    if (auto* unaryInner = unaryOuter->value->dynCast<Unary>()) {
      if (unaryInner->op == unaryOuter->op) {
        switch (unaryInner->op) {
          case NegFloat32:
          case NegFloat64: {
            // neg(neg(x))  ==>   x
            return unaryInner->value;
          }
          case AbsFloat32:
          case CeilFloat32:
          case FloorFloat32:
          case TruncFloat32:
          case NearestFloat32:
          case AbsFloat64:
          case CeilFloat64:
          case FloorFloat64:
          case TruncFloat64:
          case NearestFloat64: {
            // unaryOp(unaryOp(x))  ==>   unaryOp(x)
            return unaryInner;
          }
          case ExtendS8Int32:
          case ExtendS16Int32: {
            assert(getModule()->features.hasSignExt());
            return unaryInner;
          }
          case EqZInt32: {
            // eqz(eqz(bool(x)))  ==>   bool(x)
            if (Bits::getMaxBits(unaryInner->value, this) == 1) {
              return unaryInner->value;
            }
            break;
          }
          default: {
          }
        }
      }
    }
    return nullptr;
  }

  Expression* deduplicateBinary(Binary* outer) {
    Type type = outer->type;
    if (type.isInteger()) {
      if (auto* inner = outer->right->dynCast<Binary>()) {
        if (outer->op == inner->op) {
          if (!EffectAnalyzer(
                 getPassOptions(), getModule()->features, outer->left)
                 .hasSideEffects()) {
            if (ExpressionAnalyzer::equal(inner->left, outer->left)) {
              // x - (x - y)  ==>   y
              // x ^ (x ^ y)  ==>   y
              if (outer->op == Abstract::getBinary(type, Abstract::Sub) ||
                  outer->op == Abstract::getBinary(type, Abstract::Xor)) {
                return inner->right;
              }
              // x & (x & y)  ==>   x & y
              // x | (x | y)  ==>   x | y
              if (outer->op == Abstract::getBinary(type, Abstract::And) ||
                  outer->op == Abstract::getBinary(type, Abstract::Or)) {
                return inner;
              }
            }
            if (ExpressionAnalyzer::equal(inner->right, outer->left) &&
                canReorder(outer->left, inner->left)) {
              // x ^ (y ^ x)  ==>   y
              // (note that we need the check for reordering here because if
              // e.g. y writes to a local that x reads, the second appearance
              // of x would be different from the first)
              if (outer->op == Abstract::getBinary(type, Abstract::Xor)) {
                return inner->left;
              }

              // x & (y & x)  ==>   y & x
              // x | (y | x)  ==>   y | x
              // (here we need the check for reordering for the more obvious
              // reason that previously x appeared before y, and now y appears
              // first; or, if we tried to emit x [&|] y here, reversing the
              // order, we'd be in the same situation as the previous comment)
              if (outer->op == Abstract::getBinary(type, Abstract::And) ||
                  outer->op == Abstract::getBinary(type, Abstract::Or)) {
                return inner;
              }
            }
          }
        }
      }
      if (auto* inner = outer->left->dynCast<Binary>()) {
        if (outer->op == inner->op) {
          if (!EffectAnalyzer(
                 getPassOptions(), getModule()->features, outer->right)
                 .hasSideEffects()) {
            if (ExpressionAnalyzer::equal(inner->right, outer->right)) {
              // (x ^ y) ^ y  ==>   x
              if (outer->op == Abstract::getBinary(type, Abstract::Xor)) {
                return inner->left;
              }
              // (x % y) % y  ==>   x % y
              // (x & y) & y  ==>   x & y
              // (x | y) | y  ==>   x | y
              if (outer->op == Abstract::getBinary(type, Abstract::RemS) ||
                  outer->op == Abstract::getBinary(type, Abstract::RemU) ||
                  outer->op == Abstract::getBinary(type, Abstract::And) ||
                  outer->op == Abstract::getBinary(type, Abstract::Or)) {
                return inner;
              }
            }
            // See comments in the parallel code earlier about ordering here.
            if (ExpressionAnalyzer::equal(inner->left, outer->right) &&
                canReorder(inner->left, inner->right)) {
              // (x ^ y) ^ x  ==>   y
              if (outer->op == Abstract::getBinary(type, Abstract::Xor)) {
                return inner->right;
              }
              // (x & y) & x  ==>   x & y
              // (x | y) | x  ==>   x | y
              if (outer->op == Abstract::getBinary(type, Abstract::And) ||
                  outer->op == Abstract::getBinary(type, Abstract::Or)) {
                return inner;
              }
            }
          }
        }
      }
    }
    return nullptr;
  }

  // given a relational binary with a const on both sides, combine the constants
  // left is also a binary, and has a constant; right may be just a constant, in
  // which case right is nullptr
  Expression* combineRelationalConstants(Binary* binary,
                                         Binary* left,
                                         Const* leftConst,
                                         Binary* right,
                                         Const* rightConst) {
    auto type = binary->right->type;
    // we fold constants to the right
    Literal extra = leftConst->value;
    if (left->op == Abstract::getBinary(type, Abstract::Sub)) {
      extra = extra.neg();
    }
    if (right && right->op == Abstract::getBinary(type, Abstract::Sub)) {
      extra = extra.neg();
    }
    rightConst->value = rightConst->value.sub(extra);
    binary->left = left->left;
    return binary;
  }

  Expression* optimizeMemoryCopy(MemoryCopy* memCopy) {
    PassOptions options = getPassOptions();

    if (options.ignoreImplicitTraps) {
      if (ExpressionAnalyzer::equal(memCopy->dest, memCopy->source)) {
        // memory.copy(x, x, sz)  ==>  {drop(x), drop(x), drop(sz)}
        Builder builder(*getModule());
        return builder.makeBlock({builder.makeDrop(memCopy->dest),
                                  builder.makeDrop(memCopy->source),
                                  builder.makeDrop(memCopy->size)});
      }
    }

    // memory.copy(dst, src, C)  ==>  store(dst, load(src))
    if (auto* csize = memCopy->size->dynCast<Const>()) {
      auto bytes = csize->value.geti32();
      Builder builder(*getModule());

      switch (bytes) {
        case 0: {
          if (options.ignoreImplicitTraps) {
            // memory.copy(dst, src, 0)  ==>  {drop(dst), drop(src)}
            return builder.makeBlock({builder.makeDrop(memCopy->dest),
                                      builder.makeDrop(memCopy->source)});
          }
          break;
        }
        case 1:
        case 2:
        case 4: {
          return builder.makeStore(
            bytes, // bytes
            0,     // offset
            1,     // align
            memCopy->dest,
            builder.makeLoad(bytes, false, 0, 1, memCopy->source, Type::i32),
            Type::i32);
        }
        case 8: {
          return builder.makeStore(
            bytes, // bytes
            0,     // offset
            1,     // align
            memCopy->dest,
            builder.makeLoad(bytes, false, 0, 1, memCopy->source, Type::i64),
            Type::i64);
        }
        case 16: {
          if (options.shrinkLevel == 0) {
            // This adds an extra 2 bytes so apply it only for
            // minimal shrink level
            if (getModule()->features.hasSIMD()) {
              return builder.makeStore(
                bytes, // bytes
                0,     // offset
                1,     // align
                memCopy->dest,
                builder.makeLoad(
                  bytes, false, 0, 1, memCopy->source, Type::v128),
                Type::v128);
            }
          }
          break;
        }
        default: {
        }
      }
    }
    return nullptr;
  }

  // given a binary expression with equal children and no side effects in
  // either, we can fold various things
  Expression* optimizeBinaryWithEqualEffectlessChildren(Binary* binary) {
    // TODO add: perhaps worth doing 2*x if x is quite large?
    switch (binary->op) {
      case SubInt32:
      case XorInt32:
      case SubInt64:
      case XorInt64:
        return LiteralUtils::makeZero(binary->left->type, *getModule());
      case NeInt32:
      case LtSInt32:
      case LtUInt32:
      case GtSInt32:
      case GtUInt32:
      case NeInt64:
      case LtSInt64:
      case LtUInt64:
      case GtSInt64:
      case GtUInt64:
        return LiteralUtils::makeZero(Type::i32, *getModule());
      case AndInt32:
      case OrInt32:
      case AndInt64:
      case OrInt64:
        return binary->left;
      case EqInt32:
      case LeSInt32:
      case LeUInt32:
      case GeSInt32:
      case GeUInt32:
      case EqInt64:
      case LeSInt64:
      case LeUInt64:
      case GeSInt64:
      case GeUInt64:
        return LiteralUtils::makeFromInt32(1, Type::i32, *getModule());
      default:
        return nullptr;
    }
  }

  BinaryOp invertBinaryOp(BinaryOp op) {
    // use de-morgan's laws
    switch (op) {
      case EqInt32:
        return NeInt32;
      case NeInt32:
        return EqInt32;
      case LtSInt32:
        return GeSInt32;
      case LtUInt32:
        return GeUInt32;
      case LeSInt32:
        return GtSInt32;
      case LeUInt32:
        return GtUInt32;
      case GtSInt32:
        return LeSInt32;
      case GtUInt32:
        return LeUInt32;
      case GeSInt32:
        return LtSInt32;
      case GeUInt32:
        return LtUInt32;

      case EqInt64:
        return NeInt64;
      case NeInt64:
        return EqInt64;
      case LtSInt64:
        return GeSInt64;
      case LtUInt64:
        return GeUInt64;
      case LeSInt64:
        return GtSInt64;
      case LeUInt64:
        return GtUInt64;
      case GtSInt64:
        return LeSInt64;
      case GtUInt64:
        return LeUInt64;
      case GeSInt64:
        return LtSInt64;
      case GeUInt64:
        return LtUInt64;

      case EqFloat32:
        return NeFloat32;
      case NeFloat32:
        return EqFloat32;

      case EqFloat64:
        return NeFloat64;
      case NeFloat64:
        return EqFloat64;

      default:
        return InvalidBinary;
    }
  }

  BinaryOp reverseRelationalOp(BinaryOp op) {
    switch (op) {
      case EqInt32:
        return EqInt32;
      case NeInt32:
        return NeInt32;
      case LtSInt32:
        return GtSInt32;
      case LtUInt32:
        return GtUInt32;
      case LeSInt32:
        return GeSInt32;
      case LeUInt32:
        return GeUInt32;
      case GtSInt32:
        return LtSInt32;
      case GtUInt32:
        return LtUInt32;
      case GeSInt32:
        return LeSInt32;
      case GeUInt32:
        return LeUInt32;

      case EqInt64:
        return EqInt64;
      case NeInt64:
        return NeInt64;
      case LtSInt64:
        return GtSInt64;
      case LtUInt64:
        return GtUInt64;
      case LeSInt64:
        return GeSInt64;
      case LeUInt64:
        return GeUInt64;
      case GtSInt64:
        return LtSInt64;
      case GtUInt64:
        return LtUInt64;
      case GeSInt64:
        return LeSInt64;
      case GeUInt64:
        return LeUInt64;

      case EqFloat32:
        return EqFloat32;
      case NeFloat32:
        return NeFloat32;
      case LtFloat32:
        return GtFloat32;
      case LeFloat32:
        return GeFloat32;
      case GtFloat32:
        return LtFloat32;
      case GeFloat32:
        return LeFloat32;

      case EqFloat64:
        return EqFloat64;
      case NeFloat64:
        return NeFloat64;
      case LtFloat64:
        return GtFloat64;
      case LeFloat64:
        return GeFloat64;
      case GtFloat64:
        return LtFloat64;
      case GeFloat64:
        return LeFloat64;

      default:
        return InvalidBinary;
    }
  }

  BinaryOp makeUnsignedBinaryOp(BinaryOp op) {
    switch (op) {
      case DivSInt32:
        return DivUInt32;
      case RemSInt32:
        return RemUInt32;
      case ShrSInt32:
        return ShrUInt32;
      case LtSInt32:
        return LtUInt32;
      case LeSInt32:
        return LeUInt32;
      case GtSInt32:
        return GtUInt32;
      case GeSInt32:
        return GeUInt32;

      case DivSInt64:
        return DivUInt64;
      case RemSInt64:
        return RemUInt64;
      case ShrSInt64:
        return ShrUInt64;
      case LtSInt64:
        return LtUInt64;
      case LeSInt64:
        return LeUInt64;
      case GtSInt64:
        return GtUInt64;
      case GeSInt64:
        return GeUInt64;

      default:
        return InvalidBinary;
    }
  }

  bool shouldCanonicalize(Binary* binary) {
    if ((binary->op == SubInt32 || binary->op == SubInt64) &&
        binary->right->is<Const>() && !binary->left->is<Const>()) {
      return true;
    }
    if (Properties::isSymmetric(binary) || binary->isRelational()) {
      return true;
    }
    switch (binary->op) {
      case AddFloat32:
      case MulFloat32:
      case AddFloat64:
      case MulFloat64: {
        // If the LHS is known to be non-NaN, the operands can commute.
        // We don't care about the RHS because right now we only know if
        // an expression is non-NaN if it is constant, but if the RHS is
        // constant, then this expression is already canonicalized.
        if (auto* c = binary->left->dynCast<Const>()) {
          return !c->value.isNaN();
        }
        return false;
      }
      default:
        return false;
    }
  }
};

Pass* createOptimizeInstructionsPass() { return new OptimizeInstructions; }

} // namespace wasm