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Text file src/cmd/compile/internal/ssa/_gen/generic.rules

Documentation: cmd/compile/internal/ssa/_gen

     1// Copyright 2015 The Go Authors. All rights reserved.
     2// Use of this source code is governed by a BSD-style
     3// license that can be found in the LICENSE file.
     4
     5// Simplifications that apply to all backend architectures. As an example, this
     6// Go source code
     7//
     8// y := 0 * x
     9//
    10// can be translated into y := 0 without losing any information, which saves a
    11// pointless multiplication instruction. Other .rules files in this directory
    12// (for example AMD64.rules) contain rules specific to the architecture in the
    13// filename. The rules here apply to every architecture.
    14//
    15// The code for parsing this file lives in rulegen.go; this file generates
    16// ssa/rewritegeneric.go.
    17
    18// values are specified using the following format:
    19// (op <type> [auxint] {aux} arg0 arg1 ...)
    20// the type, aux, and auxint fields are optional
    21// on the matching side
    22//  - the type, aux, and auxint fields must match if they are specified.
    23//  - the first occurrence of a variable defines that variable.  Subsequent
    24//    uses must match (be == to) the first use.
    25//  - v is defined to be the value matched.
    26//  - an additional conditional can be provided after the match pattern with "&&".
    27// on the generated side
    28//  - the type of the top-level expression is the same as the one on the left-hand side.
    29//  - the type of any subexpressions must be specified explicitly (or
    30//    be specified in the op's type field).
    31//  - auxint will be 0 if not specified.
    32//  - aux will be nil if not specified.
    33
    34// blocks are specified using the following format:
    35// (kind controlvalue succ0 succ1 ...)
    36// controlvalue must be "nil" or a value expression
    37// succ* fields must be variables
    38// For now, the generated successors must be a permutation of the matched successors.
    39
    40// constant folding
    41(Trunc16to8  (Const16  [c])) => (Const8   [int8(c)])
    42(Trunc32to8  (Const32  [c])) => (Const8   [int8(c)])
    43(Trunc32to16 (Const32  [c])) => (Const16  [int16(c)])
    44(Trunc64to8  (Const64  [c])) => (Const8   [int8(c)])
    45(Trunc64to16 (Const64  [c])) => (Const16  [int16(c)])
    46(Trunc64to32 (Const64  [c])) => (Const32  [int32(c)])
    47(Cvt64Fto32F (Const64F [c])) => (Const32F [float32(c)])
    48(Cvt32Fto64F (Const32F [c])) => (Const64F [float64(c)])
    49(Cvt32to32F  (Const32  [c])) => (Const32F [float32(c)])
    50(Cvt32to64F  (Const32  [c])) => (Const64F [float64(c)])
    51(Cvt64to32F  (Const64  [c])) => (Const32F [float32(c)])
    52(Cvt64to64F  (Const64  [c])) => (Const64F [float64(c)])
    53(Cvt32Fto32  (Const32F [c])) && c >= -1<<31 && c < 1<<31 => (Const32 [int32(c)])
    54(Cvt32Fto64  (Const32F [c])) && c >= -1<<63 && c < 1<<63 => (Const64 [int64(c)])
    55(Cvt64Fto32  (Const64F [c])) && c >= -1<<31 && c < 1<<31 => (Const32 [int32(c)])
    56(Cvt64Fto64  (Const64F [c])) && c >= -1<<63 && c < 1<<63 => (Const64 [int64(c)])
    57(Round32F x:(Const32F)) => x
    58(Round64F x:(Const64F)) => x
    59(CvtBoolToUint8 (ConstBool [false])) => (Const8 [0])
    60(CvtBoolToUint8 (ConstBool [true])) => (Const8 [1])
    61(BitLen64 (Const64 [c])) && config.PtrSize == 8 => (Const64 [int64(bits.Len64(uint64(c)))])
    62(BitLen32 (Const32 [c])) && config.PtrSize == 8 => (Const64 [int64(bits.Len32(uint32(c)))])
    63(BitLen16 (Const16 [c])) && config.PtrSize == 8 => (Const64 [int64(bits.Len16(uint16(c)))])
    64(BitLen8  (Const8  [c])) && config.PtrSize == 8 => (Const64 [int64(bits.Len8(uint8(c)))])
    65(BitLen64 (Const64 [c])) && config.PtrSize == 4 => (Const32 [int32(bits.Len64(uint64(c)))])
    66(BitLen32 (Const32 [c])) && config.PtrSize == 4 => (Const32 [int32(bits.Len32(uint32(c)))])
    67(BitLen16 (Const16 [c])) && config.PtrSize == 4 => (Const32 [int32(bits.Len16(uint16(c)))])
    68(BitLen8  (Const8  [c])) && config.PtrSize == 4 => (Const32 [int32(bits.Len8(uint8(c)))])
    69(PopCount64 (Const64 [c])) && config.PtrSize == 8 => (Const64 [int64(bits.OnesCount64(uint64(c)))])
    70(PopCount32 (Const32 [c])) && config.PtrSize == 8 => (Const64 [int64(bits.OnesCount32(uint32(c)))])
    71(PopCount16 (Const16 [c])) && config.PtrSize == 8 => (Const64 [int64(bits.OnesCount16(uint16(c)))])
    72(PopCount8  (Const8  [c])) && config.PtrSize == 8 => (Const64 [int64(bits.OnesCount8(uint8(c)))])
    73(PopCount64 (Const64 [c])) && config.PtrSize == 4 => (Const32 [int32(bits.OnesCount64(uint64(c)))])
    74(PopCount32 (Const32 [c])) && config.PtrSize == 4 => (Const32 [int32(bits.OnesCount32(uint32(c)))])
    75(PopCount16 (Const16 [c])) && config.PtrSize == 4 => (Const32 [int32(bits.OnesCount16(uint16(c)))])
    76(PopCount8  (Const8  [c])) && config.PtrSize == 4 => (Const32 [int32(bits.OnesCount8(uint8(c)))])
    77(Add64carry (Const64 <t> [x]) (Const64 [y]) (Const64 [c])) && c >= 0 && c <= 1 => (MakeTuple (Const64 <t> [bitsAdd64(x, y, c).sum]) (Const64 <t> [bitsAdd64(x, y, c).carry]))
    78
    79(Trunc16to8  (ZeroExt8to16  x)) => x
    80(Trunc32to8  (ZeroExt8to32  x)) => x
    81(Trunc32to16 (ZeroExt8to32  x)) => (ZeroExt8to16  x)
    82(Trunc32to16 (ZeroExt16to32 x)) => x
    83(Trunc64to8  (ZeroExt8to64  x)) => x
    84(Trunc64to16 (ZeroExt8to64  x)) => (ZeroExt8to16  x)
    85(Trunc64to16 (ZeroExt16to64 x)) => x
    86(Trunc64to32 (ZeroExt8to64  x)) => (ZeroExt8to32  x)
    87(Trunc64to32 (ZeroExt16to64 x)) => (ZeroExt16to32 x)
    88(Trunc64to32 (ZeroExt32to64 x)) => x
    89(Trunc16to8  (SignExt8to16  x)) => x
    90(Trunc32to8  (SignExt8to32  x)) => x
    91(Trunc32to16 (SignExt8to32  x)) => (SignExt8to16  x)
    92(Trunc32to16 (SignExt16to32 x)) => x
    93(Trunc64to8  (SignExt8to64  x)) => x
    94(Trunc64to16 (SignExt8to64  x)) => (SignExt8to16  x)
    95(Trunc64to16 (SignExt16to64 x)) => x
    96(Trunc64to32 (SignExt8to64  x)) => (SignExt8to32  x)
    97(Trunc64to32 (SignExt16to64 x)) => (SignExt16to32 x)
    98(Trunc64to32 (SignExt32to64 x)) => x
    99
   100(ZeroExt8to16  (Const8  [c])) => (Const16 [int16( uint8(c))])
   101(ZeroExt8to32  (Const8  [c])) => (Const32 [int32( uint8(c))])
   102(ZeroExt8to64  (Const8  [c])) => (Const64 [int64( uint8(c))])
   103(ZeroExt16to32 (Const16 [c])) => (Const32 [int32(uint16(c))])
   104(ZeroExt16to64 (Const16 [c])) => (Const64 [int64(uint16(c))])
   105(ZeroExt32to64 (Const32 [c])) => (Const64 [int64(uint32(c))])
   106(SignExt8to16  (Const8  [c])) => (Const16 [int16(c)])
   107(SignExt8to32  (Const8  [c])) => (Const32 [int32(c)])
   108(SignExt8to64  (Const8  [c])) => (Const64 [int64(c)])
   109(SignExt16to32 (Const16 [c])) => (Const32 [int32(c)])
   110(SignExt16to64 (Const16 [c])) => (Const64 [int64(c)])
   111(SignExt32to64 (Const32 [c])) => (Const64 [int64(c)])
   112
   113(Neg8   (Const8   [c])) => (Const8   [-c])
   114(Neg16  (Const16  [c])) => (Const16  [-c])
   115(Neg32  (Const32  [c])) => (Const32  [-c])
   116(Neg64  (Const64  [c])) => (Const64  [-c])
   117(Neg32F (Const32F [c])) && c != 0 => (Const32F [-c])
   118(Neg64F (Const64F [c])) && c != 0 => (Const64F [-c])
   119
   120(Add8   (Const8 [c])   (Const8 [d]))   => (Const8  [c+d])
   121(Add16  (Const16 [c])  (Const16 [d]))  => (Const16 [c+d])
   122(Add32  (Const32 [c])  (Const32 [d]))  => (Const32 [c+d])
   123(Add64  (Const64 [c])  (Const64 [d]))  => (Const64 [c+d])
   124(Add32F (Const32F [c]) (Const32F [d])) && c+d == c+d => (Const32F [c+d])
   125(Add64F (Const64F [c]) (Const64F [d])) && c+d == c+d => (Const64F [c+d])
   126(AddPtr <t> x (Const64 [c])) => (OffPtr <t> x [c])
   127(AddPtr <t> x (Const32 [c])) => (OffPtr <t> x [int64(c)])
   128
   129(Sub8   (Const8 [c]) (Const8 [d]))     => (Const8 [c-d])
   130(Sub16  (Const16 [c]) (Const16 [d]))   => (Const16 [c-d])
   131(Sub32  (Const32 [c]) (Const32 [d]))   => (Const32 [c-d])
   132(Sub64  (Const64 [c]) (Const64 [d]))   => (Const64 [c-d])
   133(Sub32F (Const32F [c]) (Const32F [d])) && c-d == c-d => (Const32F [c-d])
   134(Sub64F (Const64F [c]) (Const64F [d])) && c-d == c-d => (Const64F [c-d])
   135
   136(Mul8   (Const8 [c])   (Const8 [d]))   => (Const8  [c*d])
   137(Mul16  (Const16 [c])  (Const16 [d]))  => (Const16 [c*d])
   138(Mul32  (Const32 [c])  (Const32 [d]))  => (Const32 [c*d])
   139(Mul64  (Const64 [c])  (Const64 [d]))  => (Const64 [c*d])
   140(Mul32F (Const32F [c]) (Const32F [d])) && c*d == c*d => (Const32F [c*d])
   141(Mul64F (Const64F [c]) (Const64F [d])) && c*d == c*d => (Const64F [c*d])
   142(Mul32uhilo (Const32 [c]) (Const32 [d])) => (MakeTuple (Const32 <typ.UInt32> [bitsMulU32(c, d).hi]) (Const32 <typ.UInt32> [bitsMulU32(c,d).lo]))
   143(Mul64uhilo (Const64 [c]) (Const64 [d])) => (MakeTuple (Const64 <typ.UInt64> [bitsMulU64(c, d).hi]) (Const64 <typ.UInt64> [bitsMulU64(c,d).lo]))
   144(Mul32uover (Const32 [c]) (Const32 [d])) => (MakeTuple (Const32 <typ.UInt32> [bitsMulU32(c, d).lo]) (ConstBool <typ.Bool> [bitsMulU32(c,d).hi != 0]))
   145(Mul64uover (Const64 [c]) (Const64 [d])) => (MakeTuple (Const64 <typ.UInt64> [bitsMulU64(c, d).lo]) (ConstBool <typ.Bool> [bitsMulU64(c,d).hi != 0]))
   146
   147(And8   (Const8 [c])   (Const8 [d]))   => (Const8  [c&d])
   148(And16  (Const16 [c])  (Const16 [d]))  => (Const16 [c&d])
   149(And32  (Const32 [c])  (Const32 [d]))  => (Const32 [c&d])
   150(And64  (Const64 [c])  (Const64 [d]))  => (Const64 [c&d])
   151
   152(Or8   (Const8 [c])   (Const8 [d]))   => (Const8  [c|d])
   153(Or16  (Const16 [c])  (Const16 [d]))  => (Const16 [c|d])
   154(Or32  (Const32 [c])  (Const32 [d]))  => (Const32 [c|d])
   155(Or64  (Const64 [c])  (Const64 [d]))  => (Const64 [c|d])
   156
   157(Xor8   (Const8 [c])   (Const8 [d]))   => (Const8  [c^d])
   158(Xor16  (Const16 [c])  (Const16 [d]))  => (Const16 [c^d])
   159(Xor32  (Const32 [c])  (Const32 [d]))  => (Const32 [c^d])
   160(Xor64  (Const64 [c])  (Const64 [d]))  => (Const64 [c^d])
   161
   162(Ctz64 (Const64 [c])) && config.PtrSize == 4 => (Const32 [int32(ntz64(c))])
   163(Ctz32 (Const32 [c])) && config.PtrSize == 4 => (Const32 [int32(ntz32(c))])
   164(Ctz16 (Const16 [c])) && config.PtrSize == 4 => (Const32 [int32(ntz16(c))])
   165(Ctz8  (Const8  [c])) && config.PtrSize == 4 => (Const32 [int32(ntz8(c))])
   166
   167(Ctz64 (Const64 [c])) && config.PtrSize == 8 => (Const64 [int64(ntz64(c))])
   168(Ctz32 (Const32 [c])) && config.PtrSize == 8 => (Const64 [int64(ntz32(c))])
   169(Ctz16 (Const16 [c])) && config.PtrSize == 8 => (Const64 [int64(ntz16(c))])
   170(Ctz8  (Const8  [c])) && config.PtrSize == 8 => (Const64 [int64(ntz8(c))])
   171
   172(Div8   (Const8  [c])  (Const8  [d])) && d != 0 => (Const8  [c/d])
   173(Div16  (Const16 [c])  (Const16 [d])) && d != 0 => (Const16 [c/d])
   174(Div32  (Const32 [c])  (Const32 [d])) && d != 0 => (Const32 [c/d])
   175(Div64  (Const64 [c])  (Const64 [d])) && d != 0 => (Const64 [c/d])
   176(Div8u  (Const8  [c])  (Const8  [d])) && d != 0 => (Const8  [int8(uint8(c)/uint8(d))])
   177(Div16u (Const16 [c])  (Const16 [d])) && d != 0 => (Const16 [int16(uint16(c)/uint16(d))])
   178(Div32u (Const32 [c])  (Const32 [d])) && d != 0 => (Const32 [int32(uint32(c)/uint32(d))])
   179(Div64u (Const64 [c])  (Const64 [d])) && d != 0 => (Const64 [int64(uint64(c)/uint64(d))])
   180(Div32F (Const32F [c]) (Const32F [d])) && c/d == c/d => (Const32F [c/d])
   181(Div64F (Const64F [c]) (Const64F [d])) && c/d == c/d => (Const64F [c/d])
   182(Div128u <t> (Const64 [0]) lo y) => (MakeTuple (Div64u <t.FieldType(0)> lo y) (Mod64u <t.FieldType(1)> lo y))
   183
   184(Not (ConstBool [c])) => (ConstBool [!c])
   185
   186(Floor       (Const64F [c])) => (Const64F [math.Floor(c)])
   187(Ceil        (Const64F [c])) => (Const64F [math.Ceil(c)])
   188(Trunc       (Const64F [c])) => (Const64F [math.Trunc(c)])
   189(RoundToEven (Const64F [c])) => (Const64F [math.RoundToEven(c)])
   190
   191// Convert x * 1 to x.
   192(Mul(8|16|32|64)  (Const(8|16|32|64)  [1]) x) => x
   193(Mul(32|64)uover <t> (Const(32|64) [1]) x) => (MakeTuple x (ConstBool <t.FieldType(1)> [false]))
   194
   195// Convert x * -1 to -x.
   196(Mul(8|16|32|64)  (Const(8|16|32|64)  [-1]) x) => (Neg(8|16|32|64)  x)
   197
   198// Convert -x * c to x * -c
   199(Mul(8|16|32|64) (Const(8|16|32|64) <t> [c]) (Neg(8|16|32|64) x)) => (Mul(8|16|32|64) x (Const(8|16|32|64) <t> [-c]))
   200
   201(Mul(8|16|32|64) (Neg(8|16|32|64) x) (Neg(8|16|32|64) y)) => (Mul(8|16|32|64) x y)
   202
   203// simplify negative on mul if possible
   204(Neg(8|16|32|64) (Mul(8|16|32|64) x (Const(8|16|32|64) <t> [c]))) => (Mul(8|16|32|64) x (Const(8|16|32|64) <t> [-c]))
   205(Neg(8|16|32|64) (Mul(8|16|32|64) x (Neg(8|16|32|64) y))) => (Mul(8|16|32|64) x y)
   206
   207// DeMorgan's Laws
   208(And(8|16|32|64) <t> (Com(8|16|32|64) x) (Com(8|16|32|64) y)) => (Com(8|16|32|64) (Or(8|16|32|64) <t> x y))
   209(Or(8|16|32|64) <t> (Com(8|16|32|64) x) (Com(8|16|32|64) y)) => (Com(8|16|32|64) (And(8|16|32|64) <t> x y))
   210
   211// Absorption laws
   212(And(8|16|32|64) x (Or(8|16|32|64) x y)) => x
   213(Or(8|16|32|64) x (And(8|16|32|64) x y)) => x
   214
   215(Mod8  (Const8  [c]) (Const8  [d])) && d != 0 => (Const8  [c % d])
   216(Mod16 (Const16 [c]) (Const16 [d])) && d != 0 => (Const16 [c % d])
   217(Mod32 (Const32 [c]) (Const32 [d])) && d != 0 => (Const32 [c % d])
   218(Mod64 (Const64 [c]) (Const64 [d])) && d != 0 => (Const64 [c % d])
   219
   220(Mod8u  (Const8 [c])  (Const8  [d])) && d != 0 => (Const8  [int8(uint8(c) % uint8(d))])
   221(Mod16u (Const16 [c]) (Const16 [d])) && d != 0 => (Const16 [int16(uint16(c) % uint16(d))])
   222(Mod32u (Const32 [c]) (Const32 [d])) && d != 0 => (Const32 [int32(uint32(c) % uint32(d))])
   223(Mod64u (Const64 [c]) (Const64 [d])) && d != 0 => (Const64 [int64(uint64(c) % uint64(d))])
   224
   225(Lsh64x64  (Const64 [c]) (Const64 [d])) => (Const64 [c << uint64(d)])
   226(Rsh64x64  (Const64 [c]) (Const64 [d])) => (Const64 [c >> uint64(d)])
   227(Rsh64Ux64 (Const64 [c]) (Const64 [d])) => (Const64 [int64(uint64(c) >> uint64(d))])
   228(Lsh32x64  (Const32 [c]) (Const64 [d])) => (Const32 [c << uint64(d)])
   229(Rsh32x64  (Const32 [c]) (Const64 [d])) => (Const32 [c >> uint64(d)])
   230(Rsh32Ux64 (Const32 [c]) (Const64 [d])) => (Const32 [int32(uint32(c) >> uint64(d))])
   231(Lsh16x64  (Const16 [c]) (Const64 [d])) => (Const16 [c << uint64(d)])
   232(Rsh16x64  (Const16 [c]) (Const64 [d])) => (Const16 [c >> uint64(d)])
   233(Rsh16Ux64 (Const16 [c]) (Const64 [d])) => (Const16 [int16(uint16(c) >> uint64(d))])
   234(Lsh8x64   (Const8  [c]) (Const64 [d])) => (Const8  [c << uint64(d)])
   235(Rsh8x64   (Const8  [c]) (Const64 [d])) => (Const8  [c >> uint64(d)])
   236(Rsh8Ux64  (Const8  [c]) (Const64 [d])) => (Const8  [int8(uint8(c) >> uint64(d))])
   237
   238// Fold IsInBounds when the range of the index cannot exceed the limit.
   239(IsInBounds (ZeroExt8to32  _) (Const32 [c])) && (1 << 8)  <= c => (ConstBool [true])
   240(IsInBounds (ZeroExt8to64  _) (Const64 [c])) && (1 << 8)  <= c => (ConstBool [true])
   241(IsInBounds (ZeroExt16to32 _) (Const32 [c])) && (1 << 16) <= c => (ConstBool [true])
   242(IsInBounds (ZeroExt16to64 _) (Const64 [c])) && (1 << 16) <= c => (ConstBool [true])
   243(IsInBounds x x) => (ConstBool [false])
   244(IsInBounds                (And8  (Const8  [c]) _)  (Const8  [d])) && 0 <= c && c < d => (ConstBool [true])
   245(IsInBounds (ZeroExt8to16  (And8  (Const8  [c]) _)) (Const16 [d])) && 0 <= c && int16(c) < d => (ConstBool [true])
   246(IsInBounds (ZeroExt8to32  (And8  (Const8  [c]) _)) (Const32 [d])) && 0 <= c && int32(c) < d => (ConstBool [true])
   247(IsInBounds (ZeroExt8to64  (And8  (Const8  [c]) _)) (Const64 [d])) && 0 <= c && int64(c) < d => (ConstBool [true])
   248(IsInBounds                (And16 (Const16 [c]) _)  (Const16 [d])) && 0 <= c && c < d => (ConstBool [true])
   249(IsInBounds (ZeroExt16to32 (And16 (Const16 [c]) _)) (Const32 [d])) && 0 <= c && int32(c) < d => (ConstBool [true])
   250(IsInBounds (ZeroExt16to64 (And16 (Const16 [c]) _)) (Const64 [d])) && 0 <= c && int64(c) < d => (ConstBool [true])
   251(IsInBounds                (And32 (Const32 [c]) _)  (Const32 [d])) && 0 <= c && c < d => (ConstBool [true])
   252(IsInBounds (ZeroExt32to64 (And32 (Const32 [c]) _)) (Const64 [d])) && 0 <= c && int64(c) < d => (ConstBool [true])
   253(IsInBounds                (And64 (Const64 [c]) _)  (Const64 [d])) && 0 <= c && c < d => (ConstBool [true])
   254(IsInBounds (Const32 [c]) (Const32 [d])) => (ConstBool [0 <= c && c < d])
   255(IsInBounds (Const64 [c]) (Const64 [d])) => (ConstBool [0 <= c && c < d])
   256// (Mod64u x y) is always between 0 (inclusive) and y (exclusive).
   257(IsInBounds (Mod32u _ y) y) => (ConstBool [true])
   258(IsInBounds (Mod64u _ y) y) => (ConstBool [true])
   259// Right shifting an unsigned number limits its value.
   260(IsInBounds (ZeroExt8to64  (Rsh8Ux64  _ (Const64 [c]))) (Const64 [d])) && 0 < c && c <  8 && 1<<uint( 8-c)-1 < d => (ConstBool [true])
   261(IsInBounds (ZeroExt8to32  (Rsh8Ux64  _ (Const64 [c]))) (Const32 [d])) && 0 < c && c <  8 && 1<<uint( 8-c)-1 < d => (ConstBool [true])
   262(IsInBounds (ZeroExt8to16  (Rsh8Ux64  _ (Const64 [c]))) (Const16 [d])) && 0 < c && c <  8 && 1<<uint( 8-c)-1 < d => (ConstBool [true])
   263(IsInBounds                (Rsh8Ux64  _ (Const64 [c]))  (Const64 [d])) && 0 < c && c <  8 && 1<<uint( 8-c)-1 < d => (ConstBool [true])
   264(IsInBounds (ZeroExt16to64 (Rsh16Ux64 _ (Const64 [c]))) (Const64 [d])) && 0 < c && c < 16 && 1<<uint(16-c)-1 < d => (ConstBool [true])
   265(IsInBounds (ZeroExt16to32 (Rsh16Ux64 _ (Const64 [c]))) (Const64 [d])) && 0 < c && c < 16 && 1<<uint(16-c)-1 < d => (ConstBool [true])
   266(IsInBounds                (Rsh16Ux64 _ (Const64 [c]))  (Const64 [d])) && 0 < c && c < 16 && 1<<uint(16-c)-1 < d => (ConstBool [true])
   267(IsInBounds (ZeroExt32to64 (Rsh32Ux64 _ (Const64 [c]))) (Const64 [d])) && 0 < c && c < 32 && 1<<uint(32-c)-1 < d => (ConstBool [true])
   268(IsInBounds                (Rsh32Ux64 _ (Const64 [c]))  (Const64 [d])) && 0 < c && c < 32 && 1<<uint(32-c)-1 < d => (ConstBool [true])
   269(IsInBounds                (Rsh64Ux64 _ (Const64 [c]))  (Const64 [d])) && 0 < c && c < 64 && 1<<uint(64-c)-1 < d => (ConstBool [true])
   270
   271(IsSliceInBounds x x) => (ConstBool [true])
   272(IsSliceInBounds (And32 (Const32 [c]) _) (Const32 [d])) && 0 <= c && c <= d => (ConstBool [true])
   273(IsSliceInBounds (And64 (Const64 [c]) _) (Const64 [d])) && 0 <= c && c <= d => (ConstBool [true])
   274(IsSliceInBounds (Const32 [0]) _) => (ConstBool [true])
   275(IsSliceInBounds (Const64 [0]) _) => (ConstBool [true])
   276(IsSliceInBounds (Const32 [c]) (Const32 [d])) => (ConstBool [0 <= c && c <= d])
   277(IsSliceInBounds (Const64 [c]) (Const64 [d])) => (ConstBool [0 <= c && c <= d])
   278(IsSliceInBounds (SliceLen x) (SliceCap x)) => (ConstBool [true])
   279
   280(Eq(64|32|16|8|B) x x) => (ConstBool [true])
   281(EqB (ConstBool [c]) (ConstBool [d])) => (ConstBool [c == d])
   282(EqB (ConstBool [false]) x) => (Not x)
   283(EqB (ConstBool [true]) x) => x
   284(EqB (Not x) y) => (NeqB x y)
   285
   286(Neq(64|32|16|8|B) x x) => (ConstBool [false])
   287(NeqB (ConstBool [c]) (ConstBool [d])) => (ConstBool [c != d])
   288(NeqB (ConstBool [false]) x) => x
   289(NeqB (ConstBool [true]) x) => (Not x)
   290(NeqB (Not x) y) => (EqB x y)
   291
   292(CondSelect x _ (ConstBool [true ])) => x
   293(CondSelect _ y (ConstBool [false])) => y
   294(CondSelect x x _) => x
   295
   296// fold eq / neq between a constant and a compile time bijective operation into the constant.
   297(Eq(64|32|16|8)  (Const(64|32|16|8) <t> [c]) o:(Add(64|32|16|8) (Const(64|32|16|8) [d]) x)) && o.Uses == 1 => (Eq(64|32|16|8)  (Const(64|32|16|8) <t> [c-d]) x)
   298(Neq(64|32|16|8) (Const(64|32|16|8) <t> [c]) o:(Add(64|32|16|8) (Const(64|32|16|8) [d]) x)) && o.Uses == 1 => (Neq(64|32|16|8) (Const(64|32|16|8) <t> [c-d]) x)
   299
   300(Eq(64|32|16|8)  (Const(64|32|16|8) <t> [c]) o:(Sub(64|32|16|8) x (Const(64|32|16|8) [d]))) && o.Uses == 1 => (Eq(64|32|16|8)  (Const(64|32|16|8) <t> [c+d]) x)
   301(Neq(64|32|16|8) (Const(64|32|16|8) <t> [c]) o:(Sub(64|32|16|8) x (Const(64|32|16|8) [d]))) && o.Uses == 1 => (Neq(64|32|16|8) (Const(64|32|16|8) <t> [c+d]) x)
   302
   303(Eq(64|32|16|8)  (Const(64|32|16|8) <t> [c]) o:(Sub(64|32|16|8) (Const(64|32|16|8) [d]) x)) && o.Uses == 1 => (Eq(64|32|16|8)  (Const(64|32|16|8) <t> [d-c]) x)
   304(Neq(64|32|16|8) (Const(64|32|16|8) <t> [c]) o:(Sub(64|32|16|8) (Const(64|32|16|8) [d]) x)) && o.Uses == 1 => (Neq(64|32|16|8) (Const(64|32|16|8) <t> [d-c]) x)
   305
   306(Eq(64|32|16|8)  (Const(64|32|16|8) <t> [c]) o:(Xor(64|32|16|8) (Const(64|32|16|8) [d]) x)) && o.Uses == 1 => (Eq(64|32|16|8)  (Const(64|32|16|8) <t> [d^c]) x)
   307(Neq(64|32|16|8) (Const(64|32|16|8) <t> [c]) o:(Xor(64|32|16|8) (Const(64|32|16|8) [d]) x)) && o.Uses == 1 => (Neq(64|32|16|8) (Const(64|32|16|8) <t> [d^c]) x)
   308
   309(Eq(64|32|16|8)  (Const(64|32|16|8) <t> [c]) o:(Com(64|32|16|8) x)) && o.Uses == 1 => (Eq(64|32|16|8)  (Const(64|32|16|8) <t> [^c]) x)
   310(Neq(64|32|16|8) (Const(64|32|16|8) <t> [c]) o:(Com(64|32|16|8) x)) && o.Uses == 1 => (Neq(64|32|16|8) (Const(64|32|16|8) <t> [^c]) x)
   311
   312(Eq(64|32|16|8)  (Const(64|32|16|8) <t> [c]) o:(Neg(64|32|16|8) x)) && o.Uses == 1 => (Eq(64|32|16|8)  (Const(64|32|16|8) <t> [-c]) x)
   313(Neq(64|32|16|8) (Const(64|32|16|8) <t> [c]) o:(Neg(64|32|16|8) x)) && o.Uses == 1 => (Neq(64|32|16|8) (Const(64|32|16|8) <t> [-c]) x)
   314
   315((Eq|Neq)64  (Const64 <t> [c]) o:(Mul64 (Const64 [d]) x)) && uint64(d)%2 == 1 && o.Uses == 1 => ((Eq|Neq)64  (Const64 <t> [int64(uint64(c) *        modularMultiplicativeInverse(uint64(d))) ]) x)
   316((Eq|Neq)32  (Const32 <t> [c]) o:(Mul32 (Const32 [d]) x)) && uint32(d)%2 == 1 && o.Uses == 1 => ((Eq|Neq)32  (Const32 <t> [int32(uint32(c) * uint32(modularMultiplicativeInverse(uint64(d))))]) x)
   317((Eq|Neq)16  (Const16 <t> [c]) o:(Mul16 (Const16 [d]) x)) && uint16(d)%2 == 1 && o.Uses == 1 => ((Eq|Neq)16  (Const16 <t> [int16(uint16(c) * uint16(modularMultiplicativeInverse(uint64(d))))]) x)
   318((Eq|Neq)8   (Const8  <t> [c]) o:(Mul8  (Const8  [d]) x)) && uint8( d)%2 == 1 && o.Uses == 1 => ((Eq|Neq)8   (Const8  <t> [int8( uint8( c) * uint8( modularMultiplicativeInverse(uint64(d))))]) x)
   319
   320// signed integer range: ( c <= x && x (<|<=) d ) -> ( unsigned(x-c) (<|<=) unsigned(d-c) )
   321(AndB (Leq64 (Const64 [c]) x) ((Less|Leq)64 x (Const64 [d]))) && d >= c => ((Less|Leq)64U (Sub64 <x.Type> x (Const64 <x.Type> [c])) (Const64 <x.Type> [d-c]))
   322(AndB (Leq32 (Const32 [c]) x) ((Less|Leq)32 x (Const32 [d]))) && d >= c => ((Less|Leq)32U (Sub32 <x.Type> x (Const32 <x.Type> [c])) (Const32 <x.Type> [d-c]))
   323(AndB (Leq16 (Const16 [c]) x) ((Less|Leq)16 x (Const16 [d]))) && d >= c => ((Less|Leq)16U (Sub16 <x.Type> x (Const16 <x.Type> [c])) (Const16 <x.Type> [d-c]))
   324(AndB (Leq8  (Const8  [c]) x) ((Less|Leq)8  x (Const8  [d]))) && d >= c => ((Less|Leq)8U  (Sub8  <x.Type> x (Const8  <x.Type> [c])) (Const8  <x.Type> [d-c]))
   325
   326// signed integer range: ( c < x && x (<|<=) d ) -> ( unsigned(x-(c+1)) (<|<=) unsigned(d-(c+1)) )
   327(AndB (Less64 (Const64 [c]) x) ((Less|Leq)64 x (Const64 [d]))) && d >= c+1 && c+1 > c => ((Less|Leq)64U (Sub64 <x.Type> x (Const64 <x.Type> [c+1])) (Const64 <x.Type> [d-c-1]))
   328(AndB (Less32 (Const32 [c]) x) ((Less|Leq)32 x (Const32 [d]))) && d >= c+1 && c+1 > c => ((Less|Leq)32U (Sub32 <x.Type> x (Const32 <x.Type> [c+1])) (Const32 <x.Type> [d-c-1]))
   329(AndB (Less16 (Const16 [c]) x) ((Less|Leq)16 x (Const16 [d]))) && d >= c+1 && c+1 > c => ((Less|Leq)16U (Sub16 <x.Type> x (Const16 <x.Type> [c+1])) (Const16 <x.Type> [d-c-1]))
   330(AndB (Less8  (Const8  [c]) x) ((Less|Leq)8  x (Const8  [d]))) && d >= c+1 && c+1 > c => ((Less|Leq)8U  (Sub8  <x.Type> x (Const8  <x.Type> [c+1])) (Const8  <x.Type> [d-c-1]))
   331
   332// unsigned integer range: ( c <= x && x (<|<=) d ) -> ( x-c (<|<=) d-c )
   333(AndB (Leq64U (Const64 [c]) x) ((Less|Leq)64U x (Const64 [d]))) && uint64(d) >= uint64(c) => ((Less|Leq)64U (Sub64 <x.Type> x (Const64 <x.Type> [c])) (Const64 <x.Type> [d-c]))
   334(AndB (Leq32U (Const32 [c]) x) ((Less|Leq)32U x (Const32 [d]))) && uint32(d) >= uint32(c) => ((Less|Leq)32U (Sub32 <x.Type> x (Const32 <x.Type> [c])) (Const32 <x.Type> [d-c]))
   335(AndB (Leq16U (Const16 [c]) x) ((Less|Leq)16U x (Const16 [d]))) && uint16(d) >= uint16(c) => ((Less|Leq)16U (Sub16 <x.Type> x (Const16 <x.Type> [c])) (Const16 <x.Type> [d-c]))
   336(AndB (Leq8U  (Const8  [c]) x) ((Less|Leq)8U  x (Const8  [d]))) && uint8(d)  >= uint8(c)  => ((Less|Leq)8U  (Sub8  <x.Type> x (Const8  <x.Type> [c])) (Const8  <x.Type> [d-c]))
   337
   338// unsigned integer range: ( c < x && x (<|<=) d ) -> ( x-(c+1) (<|<=) d-(c+1) )
   339(AndB (Less64U (Const64 [c]) x) ((Less|Leq)64U x (Const64 [d]))) && uint64(d) >= uint64(c+1) && uint64(c+1) > uint64(c) => ((Less|Leq)64U (Sub64 <x.Type> x (Const64 <x.Type> [c+1])) (Const64 <x.Type> [d-c-1]))
   340(AndB (Less32U (Const32 [c]) x) ((Less|Leq)32U x (Const32 [d]))) && uint32(d) >= uint32(c+1) && uint32(c+1) > uint32(c) => ((Less|Leq)32U (Sub32 <x.Type> x (Const32 <x.Type> [c+1])) (Const32 <x.Type> [d-c-1]))
   341(AndB (Less16U (Const16 [c]) x) ((Less|Leq)16U x (Const16 [d]))) && uint16(d) >= uint16(c+1) && uint16(c+1) > uint16(c) => ((Less|Leq)16U (Sub16 <x.Type> x (Const16 <x.Type> [c+1])) (Const16 <x.Type> [d-c-1]))
   342(AndB (Less8U  (Const8  [c]) x) ((Less|Leq)8U  x (Const8  [d]))) && uint8(d)  >= uint8(c+1)  && uint8(c+1)  > uint8(c)  => ((Less|Leq)8U  (Sub8  <x.Type> x (Const8  <x.Type> [c+1]))  (Const8  <x.Type> [d-c-1]))
   343
   344// signed integer range: ( c (<|<=) x || x < d ) -> ( unsigned(c-d) (<|<=) unsigned(x-d) )
   345(OrB ((Less|Leq)64 (Const64 [c]) x) (Less64 x (Const64 [d]))) && c >= d => ((Less|Leq)64U (Const64 <x.Type> [c-d]) (Sub64 <x.Type> x (Const64 <x.Type> [d])))
   346(OrB ((Less|Leq)32 (Const32 [c]) x) (Less32 x (Const32 [d]))) && c >= d => ((Less|Leq)32U (Const32 <x.Type> [c-d]) (Sub32 <x.Type> x (Const32 <x.Type> [d])))
   347(OrB ((Less|Leq)16 (Const16 [c]) x) (Less16 x (Const16 [d]))) && c >= d => ((Less|Leq)16U (Const16 <x.Type> [c-d]) (Sub16 <x.Type> x (Const16 <x.Type> [d])))
   348(OrB ((Less|Leq)8  (Const8  [c]) x) (Less8  x (Const8  [d]))) && c >= d => ((Less|Leq)8U  (Const8  <x.Type> [c-d]) (Sub8  <x.Type> x (Const8  <x.Type> [d])))
   349
   350// signed integer range: ( c (<|<=) x || x <= d ) -> ( unsigned(c-(d+1)) (<|<=) unsigned(x-(d+1)) )
   351(OrB ((Less|Leq)64 (Const64 [c]) x) (Leq64 x (Const64 [d]))) && c >= d+1 && d+1 > d => ((Less|Leq)64U (Const64 <x.Type> [c-d-1]) (Sub64 <x.Type> x (Const64 <x.Type> [d+1])))
   352(OrB ((Less|Leq)32 (Const32 [c]) x) (Leq32 x (Const32 [d]))) && c >= d+1 && d+1 > d => ((Less|Leq)32U (Const32 <x.Type> [c-d-1]) (Sub32 <x.Type> x (Const32 <x.Type> [d+1])))
   353(OrB ((Less|Leq)16 (Const16 [c]) x) (Leq16 x (Const16 [d]))) && c >= d+1 && d+1 > d => ((Less|Leq)16U (Const16 <x.Type> [c-d-1]) (Sub16 <x.Type> x (Const16 <x.Type> [d+1])))
   354(OrB ((Less|Leq)8  (Const8  [c]) x) (Leq8  x (Const8  [d]))) && c >= d+1 && d+1 > d => ((Less|Leq)8U  (Const8  <x.Type> [c-d-1]) (Sub8  <x.Type> x (Const8  <x.Type> [d+1])))
   355
   356// unsigned integer range: ( c (<|<=) x || x < d ) -> ( c-d (<|<=) x-d )
   357(OrB ((Less|Leq)64U (Const64 [c]) x) (Less64U x (Const64 [d]))) && uint64(c) >= uint64(d) => ((Less|Leq)64U (Const64 <x.Type> [c-d]) (Sub64 <x.Type> x (Const64 <x.Type> [d])))
   358(OrB ((Less|Leq)32U (Const32 [c]) x) (Less32U x (Const32 [d]))) && uint32(c) >= uint32(d) => ((Less|Leq)32U (Const32 <x.Type> [c-d]) (Sub32 <x.Type> x (Const32 <x.Type> [d])))
   359(OrB ((Less|Leq)16U (Const16 [c]) x) (Less16U x (Const16 [d]))) && uint16(c) >= uint16(d) => ((Less|Leq)16U (Const16 <x.Type> [c-d]) (Sub16 <x.Type> x (Const16 <x.Type> [d])))
   360(OrB ((Less|Leq)8U  (Const8  [c]) x) (Less8U  x (Const8  [d]))) && uint8(c)  >= uint8(d)  => ((Less|Leq)8U  (Const8  <x.Type> [c-d]) (Sub8  <x.Type> x (Const8  <x.Type> [d])))
   361
   362// unsigned integer range: ( c (<|<=) x || x <= d ) -> ( c-(d+1) (<|<=) x-(d+1) )
   363(OrB ((Less|Leq)64U (Const64 [c]) x) (Leq64U x (Const64 [d]))) && uint64(c) >= uint64(d+1) && uint64(d+1) > uint64(d) => ((Less|Leq)64U (Const64 <x.Type> [c-d-1]) (Sub64 <x.Type> x (Const64 <x.Type> [d+1])))
   364(OrB ((Less|Leq)32U (Const32 [c]) x) (Leq32U x (Const32 [d]))) && uint32(c) >= uint32(d+1) && uint32(d+1) > uint32(d) => ((Less|Leq)32U (Const32 <x.Type> [c-d-1]) (Sub32 <x.Type> x (Const32 <x.Type> [d+1])))
   365(OrB ((Less|Leq)16U (Const16 [c]) x) (Leq16U x (Const16 [d]))) && uint16(c) >= uint16(d+1) && uint16(d+1) > uint16(d) => ((Less|Leq)16U (Const16 <x.Type> [c-d-1]) (Sub16 <x.Type> x (Const16 <x.Type> [d+1])))
   366(OrB ((Less|Leq)8U  (Const8  [c]) x) (Leq8U  x (Const8  [d]))) && uint8(c)  >= uint8(d+1)  && uint8(d+1)  > uint8(d)  => ((Less|Leq)8U  (Const8  <x.Type> [c-d-1]) (Sub8  <x.Type> x (Const8  <x.Type> [d+1])))
   367
   368// single bit difference: ( x != c && x != d ) -> ( x|(c^d) != c )
   369(AndB (Neq(64|32|16|8) x cv:(Const(64|32|16|8) [c])) (Neq(64|32|16|8) x (Const(64|32|16|8) [d]))) && c|d == c && oneBit(c^d) => (Neq(64|32|16|8) (Or(64|32|16|8) <x.Type> x (Const(64|32|16|8) <x.Type> [c^d])) cv)
   370
   371// single bit difference: ( x == c || x == d ) -> ( x|(c^d) == c )
   372(OrB (Eq(64|32|16|8) x cv:(Const(64|32|16|8) [c])) (Eq(64|32|16|8) x (Const(64|32|16|8) [d]))) && c|d == c && oneBit(c^d) => (Eq(64|32|16|8) (Or(64|32|16|8) <x.Type> x (Const(64|32|16|8) <x.Type> [c^d])) cv)
   373
   374// NaN check: ( x != x || x (>|>=|<|<=) c ) -> ( !(c (>=|>|<=|<) x) )
   375(OrB (Neq64F x x) ((Less|Leq)64F x y:(Const64F [c]))) => (Not ((Leq|Less)64F y x))
   376(OrB (Neq64F x x) ((Less|Leq)64F y:(Const64F [c]) x)) => (Not ((Leq|Less)64F x y))
   377(OrB (Neq32F x x) ((Less|Leq)32F x y:(Const32F [c]))) => (Not ((Leq|Less)32F y x))
   378(OrB (Neq32F x x) ((Less|Leq)32F y:(Const32F [c]) x)) => (Not ((Leq|Less)32F x y))
   379
   380// NaN check: ( x != x || Abs(x) (>|>=|<|<=) c ) -> ( !(c (>=|>|<=|<) Abs(x) )
   381(OrB (Neq64F x x) ((Less|Leq)64F abs:(Abs x) y:(Const64F [c]))) => (Not ((Leq|Less)64F y abs))
   382(OrB (Neq64F x x) ((Less|Leq)64F y:(Const64F [c]) abs:(Abs x))) => (Not ((Leq|Less)64F abs y))
   383
   384// NaN check: ( x != x || -x (>|>=|<|<=) c ) -> ( !(c (>=|>|<=|<) -x) )
   385(OrB (Neq64F x x) ((Less|Leq)64F neg:(Neg64F x) y:(Const64F [c]))) => (Not ((Leq|Less)64F y neg))
   386(OrB (Neq64F x x) ((Less|Leq)64F y:(Const64F [c]) neg:(Neg64F x))) => (Not ((Leq|Less)64F neg y))
   387(OrB (Neq32F x x) ((Less|Leq)32F neg:(Neg32F x) y:(Const32F [c]))) => (Not ((Leq|Less)32F y neg))
   388(OrB (Neq32F x x) ((Less|Leq)32F y:(Const32F [c]) neg:(Neg32F x))) => (Not ((Leq|Less)32F neg y))
   389
   390// Canonicalize x-const to x+(-const)
   391(Sub64 x (Const64 <t> [c])) && x.Op != OpConst64 => (Add64 (Const64 <t> [-c]) x)
   392(Sub32 x (Const32 <t> [c])) && x.Op != OpConst32 => (Add32 (Const32 <t> [-c]) x)
   393(Sub16 x (Const16 <t> [c])) && x.Op != OpConst16 => (Add16 (Const16 <t> [-c]) x)
   394(Sub8  x (Const8  <t> [c])) && x.Op != OpConst8  => (Add8  (Const8  <t> [-c]) x)
   395
   396// fold negation into comparison operators
   397(Not (Eq(64|32|16|8|B|Ptr|64F|32F) x y)) => (Neq(64|32|16|8|B|Ptr|64F|32F) x y)
   398(Not (Neq(64|32|16|8|B|Ptr|64F|32F) x y)) => (Eq(64|32|16|8|B|Ptr|64F|32F) x y)
   399
   400(Not (Less(64|32|16|8) x y)) => (Leq(64|32|16|8) y x)
   401(Not (Less(64|32|16|8)U x y)) => (Leq(64|32|16|8)U y x)
   402(Not (Leq(64|32|16|8) x y)) => (Less(64|32|16|8) y x)
   403(Not (Leq(64|32|16|8)U x y)) => (Less(64|32|16|8)U y x)
   404
   405// Distribute multiplication c * (d+x) -> c*d + c*x. Useful for:
   406// a[i].b = ...; a[i+1].b = ...
   407// The !isPowerOfTwo is a kludge to keep a[i+1] using an index by a multiply,
   408// which turns into an index by a shift, which can use a shifted operand on ARM systems.
   409(Mul64 (Const64 <t> [c]) (Add64 <t> (Const64 <t> [d]) x)) && !isPowerOfTwo(c) =>
   410  (Add64 (Const64 <t> [c*d]) (Mul64 <t> (Const64 <t> [c]) x))
   411(Mul32 (Const32 <t> [c]) (Add32 <t> (Const32 <t> [d]) x)) && !isPowerOfTwo(c) =>
   412  (Add32 (Const32 <t> [c*d]) (Mul32 <t> (Const32 <t> [c]) x))
   413(Mul16 (Const16 <t> [c]) (Add16 <t> (Const16 <t> [d]) x)) && !isPowerOfTwo(c) =>
   414  (Add16 (Const16 <t> [c*d]) (Mul16 <t> (Const16 <t> [c]) x))
   415(Mul8 (Const8 <t> [c]) (Add8 <t> (Const8 <t> [d]) x)) && !isPowerOfTwo(c) =>
   416  (Add8 (Const8 <t> [c*d]) (Mul8 <t> (Const8 <t> [c]) x))
   417
   418// Rewrite x*y ± x*z  to  x*(y±z)
   419(Add(64|32|16|8) <t> (Mul(64|32|16|8) x y) (Mul(64|32|16|8) x z))
   420	=> (Mul(64|32|16|8) x (Add(64|32|16|8) <t> y z))
   421(Sub(64|32|16|8) <t> (Mul(64|32|16|8) x y) (Mul(64|32|16|8) x z))
   422	=> (Mul(64|32|16|8) x (Sub(64|32|16|8) <t> y z))
   423
   424// Canonicalize x+x to x << 1.
   425// This is often slower since most CPUs have more adders than shifters, but it can enable other optimizations.
   426// Arches who care about this like AMD64 convert x << 1 back to x+x in their arch-specific rules which is useful anyhow.
   427(Add(64|32|16|8) x x) => (Lsh(64|32|16|8)x64 x (Const64 <types.Types[types.TUINT64]> [1]))
   428
   429// rewrite shifts of 8/16/32 bit consts into 64 bit consts to reduce
   430// the number of the other rewrite rules for const shifts
   431(Lsh64x32  x (Const32 [c])) => (Lsh64x64  x (Const64 <types.Types[types.TUINT64]> [int64(uint32(c))]))
   432(Lsh64x16  x (Const16 [c])) => (Lsh64x64  x (Const64 <types.Types[types.TUINT64]> [int64(uint16(c))]))
   433(Lsh64x8   x (Const8  [c])) => (Lsh64x64  x (Const64 <types.Types[types.TUINT64]> [int64(uint8(c))]))
   434(Rsh64x32  x (Const32 [c])) => (Rsh64x64  x (Const64 <types.Types[types.TUINT64]> [int64(uint32(c))]))
   435(Rsh64x16  x (Const16 [c])) => (Rsh64x64  x (Const64 <types.Types[types.TUINT64]> [int64(uint16(c))]))
   436(Rsh64x8   x (Const8  [c])) => (Rsh64x64  x (Const64 <types.Types[types.TUINT64]> [int64(uint8(c))]))
   437(Rsh64Ux32 x (Const32 [c])) => (Rsh64Ux64 x (Const64 <types.Types[types.TUINT64]> [int64(uint32(c))]))
   438(Rsh64Ux16 x (Const16 [c])) => (Rsh64Ux64 x (Const64 <types.Types[types.TUINT64]> [int64(uint16(c))]))
   439(Rsh64Ux8  x (Const8  [c])) => (Rsh64Ux64 x (Const64 <types.Types[types.TUINT64]> [int64(uint8(c))]))
   440
   441(Lsh32x32  x (Const32 [c])) => (Lsh32x64  x (Const64 <types.Types[types.TUINT64]> [int64(uint32(c))]))
   442(Lsh32x16  x (Const16 [c])) => (Lsh32x64  x (Const64 <types.Types[types.TUINT64]> [int64(uint16(c))]))
   443(Lsh32x8   x (Const8  [c])) => (Lsh32x64  x (Const64 <types.Types[types.TUINT64]> [int64(uint8(c))]))
   444(Rsh32x32  x (Const32 [c])) => (Rsh32x64  x (Const64 <types.Types[types.TUINT64]> [int64(uint32(c))]))
   445(Rsh32x16  x (Const16 [c])) => (Rsh32x64  x (Const64 <types.Types[types.TUINT64]> [int64(uint16(c))]))
   446(Rsh32x8   x (Const8  [c])) => (Rsh32x64  x (Const64 <types.Types[types.TUINT64]> [int64(uint8(c))]))
   447(Rsh32Ux32 x (Const32 [c])) => (Rsh32Ux64 x (Const64 <types.Types[types.TUINT64]> [int64(uint32(c))]))
   448(Rsh32Ux16 x (Const16 [c])) => (Rsh32Ux64 x (Const64 <types.Types[types.TUINT64]> [int64(uint16(c))]))
   449(Rsh32Ux8  x (Const8  [c])) => (Rsh32Ux64 x (Const64 <types.Types[types.TUINT64]> [int64(uint8(c))]))
   450
   451(Lsh16x32  x (Const32 [c])) => (Lsh16x64  x (Const64 <types.Types[types.TUINT64]> [int64(uint32(c))]))
   452(Lsh16x16  x (Const16 [c])) => (Lsh16x64  x (Const64 <types.Types[types.TUINT64]> [int64(uint16(c))]))
   453(Lsh16x8   x (Const8  [c])) => (Lsh16x64  x (Const64 <types.Types[types.TUINT64]> [int64(uint8(c))]))
   454(Rsh16x32  x (Const32 [c])) => (Rsh16x64  x (Const64 <types.Types[types.TUINT64]> [int64(uint32(c))]))
   455(Rsh16x16  x (Const16 [c])) => (Rsh16x64  x (Const64 <types.Types[types.TUINT64]> [int64(uint16(c))]))
   456(Rsh16x8   x (Const8  [c])) => (Rsh16x64  x (Const64 <types.Types[types.TUINT64]> [int64(uint8(c))]))
   457(Rsh16Ux32 x (Const32 [c])) => (Rsh16Ux64 x (Const64 <types.Types[types.TUINT64]> [int64(uint32(c))]))
   458(Rsh16Ux16 x (Const16 [c])) => (Rsh16Ux64 x (Const64 <types.Types[types.TUINT64]> [int64(uint16(c))]))
   459(Rsh16Ux8  x (Const8  [c])) => (Rsh16Ux64 x (Const64 <types.Types[types.TUINT64]> [int64(uint8(c))]))
   460
   461(Lsh8x32  x (Const32 [c])) => (Lsh8x64  x (Const64 <types.Types[types.TUINT64]> [int64(uint32(c))]))
   462(Lsh8x16  x (Const16 [c])) => (Lsh8x64  x (Const64 <types.Types[types.TUINT64]> [int64(uint16(c))]))
   463(Lsh8x8   x (Const8  [c])) => (Lsh8x64  x (Const64 <types.Types[types.TUINT64]> [int64(uint8(c))]))
   464(Rsh8x32  x (Const32 [c])) => (Rsh8x64  x (Const64 <types.Types[types.TUINT64]> [int64(uint32(c))]))
   465(Rsh8x16  x (Const16 [c])) => (Rsh8x64  x (Const64 <types.Types[types.TUINT64]> [int64(uint16(c))]))
   466(Rsh8x8   x (Const8  [c])) => (Rsh8x64  x (Const64 <types.Types[types.TUINT64]> [int64(uint8(c))]))
   467(Rsh8Ux32 x (Const32 [c])) => (Rsh8Ux64 x (Const64 <types.Types[types.TUINT64]> [int64(uint32(c))]))
   468(Rsh8Ux16 x (Const16 [c])) => (Rsh8Ux64 x (Const64 <types.Types[types.TUINT64]> [int64(uint16(c))]))
   469(Rsh8Ux8  x (Const8  [c])) => (Rsh8Ux64 x (Const64 <types.Types[types.TUINT64]> [int64(uint8(c))]))
   470
   471// shifts by zero
   472(Lsh(64|32|16|8)x64  x (Const64 [0])) => x
   473(Rsh(64|32|16|8)x64  x (Const64 [0])) => x
   474(Rsh(64|32|16|8)Ux64 x (Const64 [0])) => x
   475
   476// rotates by multiples of register width
   477(RotateLeft64 x (Const64 [c])) && c%64 == 0 => x
   478(RotateLeft32 x (Const32 [c])) && c%32 == 0 => x
   479(RotateLeft16 x (Const16 [c])) && c%16 == 0 => x
   480(RotateLeft8  x (Const8 [c]))  && c%8  == 0 => x
   481
   482// zero shifted
   483(Lsh64x(64|32|16|8)  (Const64 [0]) _) => (Const64 [0])
   484(Rsh64x(64|32|16|8)  (Const64 [0]) _) => (Const64 [0])
   485(Rsh64Ux(64|32|16|8) (Const64 [0]) _) => (Const64 [0])
   486(Lsh32x(64|32|16|8)  (Const32 [0]) _) => (Const32 [0])
   487(Rsh32x(64|32|16|8)  (Const32 [0]) _) => (Const32 [0])
   488(Rsh32Ux(64|32|16|8) (Const32 [0]) _) => (Const32 [0])
   489(Lsh16x(64|32|16|8)  (Const16 [0]) _) => (Const16 [0])
   490(Rsh16x(64|32|16|8)  (Const16 [0]) _) => (Const16 [0])
   491(Rsh16Ux(64|32|16|8) (Const16 [0]) _) => (Const16 [0])
   492(Lsh8x(64|32|16|8)   (Const8  [0]) _) => (Const8  [0])
   493(Rsh8x(64|32|16|8)   (Const8  [0]) _) => (Const8  [0])
   494(Rsh8Ux(64|32|16|8)  (Const8  [0]) _) => (Const8  [0])
   495
   496// large left shifts of all values, and right shifts of unsigned values
   497((Lsh64|Rsh64U)x64  _ (Const64 [c])) && uint64(c) >= 64 => (Const64 [0])
   498((Lsh32|Rsh32U)x64  _ (Const64 [c])) && uint64(c) >= 32 => (Const32 [0])
   499((Lsh16|Rsh16U)x64  _ (Const64 [c])) && uint64(c) >= 16 => (Const16 [0])
   500((Lsh8|Rsh8U)x64    _ (Const64 [c])) && uint64(c) >= 8  => (Const8  [0])
   501
   502// combine const shifts
   503(Lsh64x64 <t> (Lsh64x64 x (Const64 [c])) (Const64 [d])) && !uaddOvf(c,d) => (Lsh64x64 x (Const64 <t> [c+d]))
   504(Lsh32x64 <t> (Lsh32x64 x (Const64 [c])) (Const64 [d])) && !uaddOvf(c,d) => (Lsh32x64 x (Const64 <t> [c+d]))
   505(Lsh16x64 <t> (Lsh16x64 x (Const64 [c])) (Const64 [d])) && !uaddOvf(c,d) => (Lsh16x64 x (Const64 <t> [c+d]))
   506(Lsh8x64  <t> (Lsh8x64  x (Const64 [c])) (Const64 [d])) && !uaddOvf(c,d) => (Lsh8x64  x (Const64 <t> [c+d]))
   507
   508(Rsh64x64 <t> (Rsh64x64 x (Const64 [c])) (Const64 [d])) && !uaddOvf(c,d) => (Rsh64x64 x (Const64 <t> [c+d]))
   509(Rsh32x64 <t> (Rsh32x64 x (Const64 [c])) (Const64 [d])) && !uaddOvf(c,d) => (Rsh32x64 x (Const64 <t> [c+d]))
   510(Rsh16x64 <t> (Rsh16x64 x (Const64 [c])) (Const64 [d])) && !uaddOvf(c,d) => (Rsh16x64 x (Const64 <t> [c+d]))
   511(Rsh8x64  <t> (Rsh8x64  x (Const64 [c])) (Const64 [d])) && !uaddOvf(c,d) => (Rsh8x64  x (Const64 <t> [c+d]))
   512
   513(Rsh64Ux64 <t> (Rsh64Ux64 x (Const64 [c])) (Const64 [d])) && !uaddOvf(c,d) => (Rsh64Ux64 x (Const64 <t> [c+d]))
   514(Rsh32Ux64 <t> (Rsh32Ux64 x (Const64 [c])) (Const64 [d])) && !uaddOvf(c,d) => (Rsh32Ux64 x (Const64 <t> [c+d]))
   515(Rsh16Ux64 <t> (Rsh16Ux64 x (Const64 [c])) (Const64 [d])) && !uaddOvf(c,d) => (Rsh16Ux64 x (Const64 <t> [c+d]))
   516(Rsh8Ux64  <t> (Rsh8Ux64  x (Const64 [c])) (Const64 [d])) && !uaddOvf(c,d) => (Rsh8Ux64  x (Const64 <t> [c+d]))
   517
   518// Remove signed right shift before an unsigned right shift that extracts the sign bit.
   519(Rsh8Ux64  (Rsh8x64  x _) (Const64 <t> [7] )) => (Rsh8Ux64  x (Const64 <t> [7] ))
   520(Rsh16Ux64 (Rsh16x64 x _) (Const64 <t> [15])) => (Rsh16Ux64 x (Const64 <t> [15]))
   521(Rsh32Ux64 (Rsh32x64 x _) (Const64 <t> [31])) => (Rsh32Ux64 x (Const64 <t> [31]))
   522(Rsh64Ux64 (Rsh64x64 x _) (Const64 <t> [63])) => (Rsh64Ux64 x (Const64 <t> [63]))
   523
   524// Convert x>>c<<c to x&^(1<<c-1)
   525(Lsh64x64 i:(Rsh(64|64U)x64  x (Const64 [c])) (Const64 [c])) && c >= 0 && c < 64 && i.Uses == 1 => (And64 x (Const64 <v.Type> [int64(-1) << c]))
   526(Lsh32x64 i:(Rsh(32|32U)x64  x (Const64 [c])) (Const64 [c])) && c >= 0 && c < 32 && i.Uses == 1 => (And32 x (Const32 <v.Type> [int32(-1) << c]))
   527(Lsh16x64 i:(Rsh(16|16U)x64  x (Const64 [c])) (Const64 [c])) && c >= 0 && c < 16 && i.Uses == 1 => (And16 x (Const16 <v.Type> [int16(-1) << c]))
   528(Lsh8x64  i:(Rsh(8|8U)x64    x (Const64 [c])) (Const64 [c])) && c >= 0 && c < 8  && i.Uses == 1 => (And8  x (Const8  <v.Type> [int8(-1)  << c]))
   529// similarly for x<<c>>c
   530(Rsh64Ux64 i:(Lsh64x64 x (Const64 [c])) (Const64 [c])) && c >= 0 && c < 64 && i.Uses == 1 => (And64 x (Const64 <v.Type> [int64(^uint64(0)>>c)]))
   531(Rsh32Ux64 i:(Lsh32x64 x (Const64 [c])) (Const64 [c])) && c >= 0 && c < 32 && i.Uses == 1 => (And32 x (Const32 <v.Type> [int32(^uint32(0)>>c)]))
   532(Rsh16Ux64 i:(Lsh16x64 x (Const64 [c])) (Const64 [c])) && c >= 0 && c < 16 && i.Uses == 1 => (And16 x (Const16 <v.Type> [int16(^uint16(0)>>c)]))
   533(Rsh8Ux64  i:(Lsh8x64  x (Const64 [c])) (Const64 [c])) && c >= 0 && c < 8  && i.Uses == 1 => (And8  x (Const8  <v.Type> [int8 (^uint8 (0)>>c)]))
   534
   535// ((x >> c1) << c2) >> c3
   536(Rsh(64|32|16|8)Ux64 (Lsh(64|32|16|8)x64 (Rsh(64|32|16|8)Ux64 x (Const64 [c1])) (Const64 [c2])) (Const64 [c3]))
   537  && uint64(c1) >= uint64(c2) && uint64(c3) >= uint64(c2) && !uaddOvf(c1-c2, c3)
   538  => (Rsh(64|32|16|8)Ux64 x (Const64 <typ.UInt64> [c1-c2+c3]))
   539
   540// ((x << c1) >> c2) << c3
   541(Lsh(64|32|16|8)x64 (Rsh(64|32|16|8)Ux64 (Lsh(64|32|16|8)x64 x (Const64 [c1])) (Const64 [c2])) (Const64 [c3]))
   542  && uint64(c1) >= uint64(c2) && uint64(c3) >= uint64(c2) && !uaddOvf(c1-c2, c3)
   543  => (Lsh(64|32|16|8)x64 x (Const64 <typ.UInt64> [c1-c2+c3]))
   544
   545// (x >> c) & uppermask = 0
   546(And64 (Const64 [m]) (Rsh64Ux64 _ (Const64 [c]))) && c >= int64(64-ntz64(m)) => (Const64 [0])
   547(And32 (Const32 [m]) (Rsh32Ux64 _ (Const64 [c]))) && c >= int64(32-ntz32(m)) => (Const32 [0])
   548(And16 (Const16 [m]) (Rsh16Ux64 _ (Const64 [c]))) && c >= int64(16-ntz16(m)) => (Const16 [0])
   549(And8  (Const8  [m]) (Rsh8Ux64  _ (Const64 [c]))) && c >= int64(8-ntz8(m))  => (Const8  [0])
   550
   551// (x << c) & lowermask = 0
   552(And64 (Const64 [m]) (Lsh64x64  _ (Const64 [c]))) && c >= int64(64-nlz64(m)) => (Const64 [0])
   553(And32 (Const32 [m]) (Lsh32x64  _ (Const64 [c]))) && c >= int64(32-nlz32(m)) => (Const32 [0])
   554(And16 (Const16 [m]) (Lsh16x64  _ (Const64 [c]))) && c >= int64(16-nlz16(m)) => (Const16 [0])
   555(And8  (Const8  [m]) (Lsh8x64   _ (Const64 [c]))) && c >= int64(8-nlz8(m))  => (Const8  [0])
   556
   557// replace shifts with zero extensions
   558(Rsh16Ux64 (Lsh16x64 x (Const64  [8])) (Const64  [8])) => (ZeroExt8to16  (Trunc16to8  <typ.UInt8>  x))
   559(Rsh32Ux64 (Lsh32x64 x (Const64 [24])) (Const64 [24])) => (ZeroExt8to32  (Trunc32to8  <typ.UInt8>  x))
   560(Rsh64Ux64 (Lsh64x64 x (Const64 [56])) (Const64 [56])) => (ZeroExt8to64  (Trunc64to8  <typ.UInt8>  x))
   561(Rsh32Ux64 (Lsh32x64 x (Const64 [16])) (Const64 [16])) => (ZeroExt16to32 (Trunc32to16 <typ.UInt16> x))
   562(Rsh64Ux64 (Lsh64x64 x (Const64 [48])) (Const64 [48])) => (ZeroExt16to64 (Trunc64to16 <typ.UInt16> x))
   563(Rsh64Ux64 (Lsh64x64 x (Const64 [32])) (Const64 [32])) => (ZeroExt32to64 (Trunc64to32 <typ.UInt32> x))
   564
   565// replace shifts with sign extensions
   566(Rsh16x64 (Lsh16x64 x (Const64  [8])) (Const64  [8])) => (SignExt8to16  (Trunc16to8  <typ.Int8>  x))
   567(Rsh32x64 (Lsh32x64 x (Const64 [24])) (Const64 [24])) => (SignExt8to32  (Trunc32to8  <typ.Int8>  x))
   568(Rsh64x64 (Lsh64x64 x (Const64 [56])) (Const64 [56])) => (SignExt8to64  (Trunc64to8  <typ.Int8>  x))
   569(Rsh32x64 (Lsh32x64 x (Const64 [16])) (Const64 [16])) => (SignExt16to32 (Trunc32to16 <typ.Int16> x))
   570(Rsh64x64 (Lsh64x64 x (Const64 [48])) (Const64 [48])) => (SignExt16to64 (Trunc64to16 <typ.Int16> x))
   571(Rsh64x64 (Lsh64x64 x (Const64 [32])) (Const64 [32])) => (SignExt32to64 (Trunc64to32 <typ.Int32> x))
   572
   573// ((x >> c) & d) << e
   574(Lsh64x64 (And64 (Rsh(64|64U)x64 <t> x (Const64 <t2> [c])) (Const64 [d])) (Const64 [e])) && c >= e => (And64 (Rsh(64|64U)x64 <t> x (Const64 <t2> [c-e])) (Const64 <t> [d<<e]))
   575(Lsh32x64 (And32 (Rsh(32|32U)x64 <t> x (Const64 <t2> [c])) (Const32 [d])) (Const64 [e])) && c >= e => (And32 (Rsh(32|32U)x64 <t> x (Const64 <t2> [c-e])) (Const32 <t> [d<<e]))
   576(Lsh16x64 (And16 (Rsh(16|16U)x64 <t> x (Const64 <t2> [c])) (Const16 [d])) (Const64 [e])) && c >= e => (And16 (Rsh(16|16U)x64 <t> x (Const64 <t2> [c-e])) (Const16 <t> [d<<e]))
   577(Lsh8x64  (And8  (Rsh(8|8U)x64   <t> x (Const64 <t2> [c])) (Const8  [d])) (Const64 [e])) && c >= e => (And8  (Rsh(8|8U)x64   <t> x (Const64 <t2> [c-e])) (Const8  <t> [d<<e]))
   578(Lsh64x64 (And64 (Rsh(64|64U)x64 <t> x (Const64 <t2> [c])) (Const64 [d])) (Const64 [e])) && c < e =>  (And64 (Lsh64x64 <t> x (Const64 <t2> [e-c])) (Const64 <t> [d<<e]))
   579(Lsh32x64 (And32 (Rsh(32|32U)x64 <t> x (Const64 <t2> [c])) (Const32 [d])) (Const64 [e])) && c < e =>  (And32 (Lsh32x64 <t> x (Const64 <t2> [e-c])) (Const32 <t> [d<<e]))
   580(Lsh16x64 (And16 (Rsh(16|16U)x64 <t> x (Const64 <t2> [c])) (Const16 [d])) (Const64 [e])) && c < e =>  (And16 (Lsh16x64 <t> x (Const64 <t2> [e-c])) (Const16 <t> [d<<e]))
   581(Lsh8x64  (And8  (Rsh(8|8U)x64   <t> x (Const64 <t2> [c])) (Const8  [d])) (Const64 [e])) && c < e =>  (And8  (Lsh8x64  <t> x (Const64 <t2> [e-c])) (Const8  <t> [d<<e]))
   582
   583// constant comparisons
   584(Eq(64|32|16|8)   (Const(64|32|16|8) [c]) (Const(64|32|16|8) [d])) => (ConstBool [c == d])
   585(Neq(64|32|16|8)  (Const(64|32|16|8) [c]) (Const(64|32|16|8) [d])) => (ConstBool [c != d])
   586(Less(64|32|16|8) (Const(64|32|16|8) [c]) (Const(64|32|16|8) [d])) => (ConstBool [c < d])
   587(Leq(64|32|16|8)  (Const(64|32|16|8) [c]) (Const(64|32|16|8) [d])) => (ConstBool [c <= d])
   588
   589(Less64U (Const64 [c]) (Const64 [d])) => (ConstBool [uint64(c) < uint64(d)])
   590(Less32U (Const32 [c]) (Const32 [d])) => (ConstBool [uint32(c) < uint32(d)])
   591(Less16U (Const16 [c]) (Const16 [d])) => (ConstBool [uint16(c) < uint16(d)])
   592(Less8U  (Const8  [c]) (Const8  [d])) => (ConstBool [ uint8(c) <  uint8(d)])
   593
   594(Leq64U (Const64 [c]) (Const64 [d])) => (ConstBool [uint64(c) <= uint64(d)])
   595(Leq32U (Const32 [c]) (Const32 [d])) => (ConstBool [uint32(c) <= uint32(d)])
   596(Leq16U (Const16 [c]) (Const16 [d])) => (ConstBool [uint16(c) <= uint16(d)])
   597(Leq8U  (Const8  [c]) (Const8  [d])) => (ConstBool [ uint8(c) <=  uint8(d)])
   598
   599(Leq8  (Const8  [0]) (And8  _ (Const8  [c]))) && c >= 0 => (ConstBool [true])
   600(Leq16 (Const16 [0]) (And16 _ (Const16 [c]))) && c >= 0 => (ConstBool [true])
   601(Leq32 (Const32 [0]) (And32 _ (Const32 [c]))) && c >= 0 => (ConstBool [true])
   602(Leq64 (Const64 [0]) (And64 _ (Const64 [c]))) && c >= 0 => (ConstBool [true])
   603
   604(Leq8  (Const8  [0]) (Rsh8Ux64  _ (Const64 [c]))) && c > 0 => (ConstBool [true])
   605(Leq16 (Const16 [0]) (Rsh16Ux64 _ (Const64 [c]))) && c > 0 => (ConstBool [true])
   606(Leq32 (Const32 [0]) (Rsh32Ux64 _ (Const64 [c]))) && c > 0 => (ConstBool [true])
   607(Leq64 (Const64 [0]) (Rsh64Ux64 _ (Const64 [c]))) && c > 0 => (ConstBool [true])
   608
   609// prefer equalities with zero
   610(Less(64|32|16|8) (Const(64|32|16|8) <t> [0]) x) && isNonNegative(x) => (Neq(64|32|16|8) (Const(64|32|16|8) <t> [0]) x)
   611(Less(64|32|16|8) x (Const(64|32|16|8) <t> [1])) && isNonNegative(x) => (Eq(64|32|16|8) (Const(64|32|16|8) <t> [0]) x)
   612(Less(64|32|16|8)U x (Const(64|32|16|8) <t> [1])) => (Eq(64|32|16|8) (Const(64|32|16|8) <t> [0]) x)
   613(Leq(64|32|16|8)U (Const(64|32|16|8) <t> [1]) x) => (Neq(64|32|16|8) (Const(64|32|16|8) <t> [0]) x)
   614
   615// prefer comparisons with zero
   616(Less(64|32|16|8) x (Const(64|32|16|8) <t> [1])) => (Leq(64|32|16|8) x (Const(64|32|16|8) <t> [0]))
   617(Leq(64|32|16|8) x (Const(64|32|16|8) <t> [-1])) => (Less(64|32|16|8) x (Const(64|32|16|8) <t> [0]))
   618(Leq(64|32|16|8) (Const(64|32|16|8) <t> [1]) x) => (Less(64|32|16|8) (Const(64|32|16|8) <t> [0]) x)
   619(Less(64|32|16|8) (Const(64|32|16|8) <t> [-1]) x) => (Leq(64|32|16|8) (Const(64|32|16|8) <t> [0]) x)
   620
   621// constant floating point comparisons
   622(Eq32F   (Const32F [c]) (Const32F [d])) => (ConstBool [c == d])
   623(Eq64F   (Const64F [c]) (Const64F [d])) => (ConstBool [c == d])
   624(Neq32F  (Const32F [c]) (Const32F [d])) => (ConstBool [c != d])
   625(Neq64F  (Const64F [c]) (Const64F [d])) => (ConstBool [c != d])
   626(Less32F (Const32F [c]) (Const32F [d])) => (ConstBool [c < d])
   627(Less64F (Const64F [c]) (Const64F [d])) => (ConstBool [c < d])
   628(Leq32F  (Const32F [c]) (Const32F [d])) => (ConstBool [c <= d])
   629(Leq64F  (Const64F [c]) (Const64F [d])) => (ConstBool [c <= d])
   630
   631// simplifications
   632(Or(64|32|16|8) x x) => x
   633(Or(64|32|16|8) (Const(64|32|16|8)  [0]) x) => x
   634(Or(64|32|16|8) (Const(64|32|16|8) [-1]) _) => (Const(64|32|16|8) [-1])
   635(Or(64|32|16|8) (Com(64|32|16|8)     x)  x) => (Const(64|32|16|8) [-1])
   636
   637(And(64|32|16|8) x x) => x
   638(And(64|32|16|8) (Const(64|32|16|8) [-1]) x) => x
   639(And(64|32|16|8) (Const(64|32|16|8)  [0]) _) => (Const(64|32|16|8) [0])
   640(And(64|32|16|8) (Com(64|32|16|8)     x)  x) => (Const(64|32|16|8) [0])
   641
   642(Xor(64|32|16|8) x x) => (Const(64|32|16|8) [0])
   643(Xor(64|32|16|8) (Const(64|32|16|8) [0]) x) => x
   644(Xor(64|32|16|8) (Com(64|32|16|8)    x)  x) => (Const(64|32|16|8) [-1])
   645
   646(Add(64|32|16|8) (Const(64|32|16|8) [0]) x) => x
   647(Sub(64|32|16|8) x x) => (Const(64|32|16|8) [0])
   648(Mul(64|32|16|8) (Const(64|32|16|8) [0]) _) => (Const(64|32|16|8) [0])
   649(Mul(64|32)uover <t> (Const(64|32) [0]) x) => (MakeTuple (Const(64|32) <t.FieldType(0)> [0]) (ConstBool <t.FieldType(1)> [false]))
   650
   651(Com(64|32|16|8) (Com(64|32|16|8)  x)) => x
   652(Com(64|32|16|8) (Const(64|32|16|8) [c])) => (Const(64|32|16|8) [^c])
   653
   654(Neg(64|32|16|8) (Sub(64|32|16|8) x y)) => (Sub(64|32|16|8) y x)
   655(Add(64|32|16|8) x (Neg(64|32|16|8) y)) => (Sub(64|32|16|8) x y)
   656
   657(Xor(64|32|16|8) (Const(64|32|16|8) [-1]) x) => (Com(64|32|16|8) x)
   658
   659(Sub(64|32|16|8) (Neg(64|32|16|8) x) (Com(64|32|16|8) x)) => (Const(64|32|16|8) [1])
   660(Sub(64|32|16|8) (Com(64|32|16|8) x) (Neg(64|32|16|8) x)) => (Const(64|32|16|8) [-1])
   661(Add(64|32|16|8) (Com(64|32|16|8) x)                  x)  => (Const(64|32|16|8) [-1])
   662
   663// Prove does not simplify this because x + y might overflow into carry,
   664// however if no one care about the carry, let it overflow in a normal add.
   665(Select0 a:(Add64carry x y (Const64 [0]))) && a.Uses == 1 => (Add64 x y)
   666
   667// Simplification when involving common integer
   668// (t + x) - (t + y) == x - y
   669// (t + x) - (y + t) == x - y
   670// (x + t) - (y + t) == x - y
   671// (x + t) - (t + y) == x - y
   672// (x - t) + (t + y) == x + y
   673// (x - t) + (y + t) == x + y
   674(Sub(64|32|16|8) (Add(64|32|16|8) t x) (Add(64|32|16|8) t y)) => (Sub(64|32|16|8) x y)
   675(Add(64|32|16|8) (Sub(64|32|16|8) x t) (Add(64|32|16|8) t y)) => (Add(64|32|16|8) x y)
   676
   677// ^(x-1) == ^x+1 == -x
   678(Add(64|32|16|8) (Const(64|32|16|8) [1]) (Com(64|32|16|8) x)) => (Neg(64|32|16|8) x)
   679(Com(64|32|16|8) (Add(64|32|16|8) (Const(64|32|16|8) [-1]) x)) => (Neg(64|32|16|8) x)
   680
   681// -(-x) == x
   682(Neg(64|32|16|8) (Neg(64|32|16|8) x)) => x
   683
   684// -^x == x+1
   685(Neg(64|32|16|8) <t> (Com(64|32|16|8) x)) => (Add(64|32|16|8) (Const(64|32|16|8) <t> [1]) x)
   686
   687(And(64|32|16|8) x (And(64|32|16|8) x y)) => (And(64|32|16|8) x y)
   688(Or(64|32|16|8) x (Or(64|32|16|8) x y)) => (Or(64|32|16|8) x y)
   689(Xor(64|32|16|8) x (Xor(64|32|16|8) x y)) => y
   690
   691// Fold comparisons with numeric bounds
   692(Less(64|32|16|8)U _ (Const(64|32|16|8) [0]))  => (ConstBool [false])
   693(Leq(64|32|16|8)U (Const(64|32|16|8) [0]) _)   => (ConstBool [true])
   694(Less(64|32|16|8)U (Const(64|32|16|8) [-1]) _) => (ConstBool [false])
   695(Leq(64|32|16|8)U _ (Const(64|32|16|8) [-1]))  => (ConstBool [true])
   696(Less64 _ (Const64 [math.MinInt64])) => (ConstBool [false])
   697(Less32 _ (Const32 [math.MinInt32])) => (ConstBool [false])
   698(Less16 _ (Const16 [math.MinInt16])) => (ConstBool [false])
   699(Less8  _ (Const8  [math.MinInt8 ])) => (ConstBool [false])
   700(Leq64 (Const64 [math.MinInt64]) _)  => (ConstBool [true])
   701(Leq32 (Const32 [math.MinInt32]) _)  => (ConstBool [true])
   702(Leq16 (Const16 [math.MinInt16]) _)  => (ConstBool [true])
   703(Leq8  (Const8  [math.MinInt8 ]) _)  => (ConstBool [true])
   704(Less64 (Const64 [math.MaxInt64]) _) => (ConstBool [false])
   705(Less32 (Const32 [math.MaxInt32]) _) => (ConstBool [false])
   706(Less16 (Const16 [math.MaxInt16]) _) => (ConstBool [false])
   707(Less8  (Const8  [math.MaxInt8 ]) _) => (ConstBool [false])
   708(Leq64 _ (Const64 [math.MaxInt64]))  => (ConstBool [true])
   709(Leq32 _ (Const32 [math.MaxInt32]))  => (ConstBool [true])
   710(Leq16 _ (Const16 [math.MaxInt16]))  => (ConstBool [true])
   711(Leq8  _ (Const8  [math.MaxInt8 ]))  => (ConstBool [true])
   712
   713// Canonicalize <= on numeric bounds and < near numeric bounds to ==
   714(Leq(64|32|16|8)U x c:(Const(64|32|16|8) [0]))     => (Eq(64|32|16|8) x c)
   715(Leq(64|32|16|8)U c:(Const(64|32|16|8) [-1]) x)    => (Eq(64|32|16|8) x c)
   716(Less(64|32|16|8)U x (Const(64|32|16|8) <t> [1]))  => (Eq(64|32|16|8) x (Const(64|32|16|8) <t> [0]))
   717(Less(64|32|16|8)U (Const(64|32|16|8) <t> [-2]) x) => (Eq(64|32|16|8) x (Const(64|32|16|8) <t> [-1]))
   718(Leq64 x c:(Const64 [math.MinInt64])) => (Eq64 x c)
   719(Leq32 x c:(Const32 [math.MinInt32])) => (Eq32 x c)
   720(Leq16 x c:(Const16 [math.MinInt16])) => (Eq16 x c)
   721(Leq8  x c:(Const8  [math.MinInt8 ])) => (Eq8  x c)
   722(Leq64 c:(Const64 [math.MaxInt64]) x) => (Eq64 x c)
   723(Leq32 c:(Const32 [math.MaxInt32]) x) => (Eq32 x c)
   724(Leq16 c:(Const16 [math.MaxInt16]) x) => (Eq16 x c)
   725(Leq8  c:(Const8  [math.MaxInt8 ]) x) => (Eq8  x c)
   726(Less64 x (Const64 <t> [math.MinInt64+1])) => (Eq64 x (Const64 <t> [math.MinInt64]))
   727(Less32 x (Const32 <t> [math.MinInt32+1])) => (Eq32 x (Const32 <t> [math.MinInt32]))
   728(Less16 x (Const16 <t> [math.MinInt16+1])) => (Eq16 x (Const16 <t> [math.MinInt16]))
   729(Less8  x (Const8  <t> [math.MinInt8 +1])) => (Eq8  x (Const8  <t> [math.MinInt8 ]))
   730(Less64 (Const64 <t> [math.MaxInt64-1]) x) => (Eq64 x (Const64 <t> [math.MaxInt64]))
   731(Less32 (Const32 <t> [math.MaxInt32-1]) x) => (Eq32 x (Const32 <t> [math.MaxInt32]))
   732(Less16 (Const16 <t> [math.MaxInt16-1]) x) => (Eq16 x (Const16 <t> [math.MaxInt16]))
   733(Less8  (Const8  <t> [math.MaxInt8 -1]) x) => (Eq8  x (Const8  <t> [math.MaxInt8 ]))
   734
   735// Ands clear bits. Ors set bits.
   736// If a subsequent Or will set all the bits
   737// that an And cleared, we can skip the And.
   738// This happens in bitmasking code like:
   739//   x &^= 3 << shift // clear two old bits
   740//   x  |= v << shift // set two new bits
   741// when shift is a small constant and v ends up a constant 3.
   742(Or8  (And8  x (Const8  [c2])) (Const8  <t> [c1])) && ^(c1 | c2) == 0 => (Or8  (Const8  <t> [c1]) x)
   743(Or16 (And16 x (Const16 [c2])) (Const16 <t> [c1])) && ^(c1 | c2) == 0 => (Or16 (Const16 <t> [c1]) x)
   744(Or32 (And32 x (Const32 [c2])) (Const32 <t> [c1])) && ^(c1 | c2) == 0 => (Or32 (Const32 <t> [c1]) x)
   745(Or64 (And64 x (Const64 [c2])) (Const64 <t> [c1])) && ^(c1 | c2) == 0 => (Or64 (Const64 <t> [c1]) x)
   746
   747(Trunc64to8  (And64 (Const64 [y]) x)) && y&0xFF == 0xFF => (Trunc64to8 x)
   748(Trunc64to16 (And64 (Const64 [y]) x)) && y&0xFFFF == 0xFFFF => (Trunc64to16 x)
   749(Trunc64to32 (And64 (Const64 [y]) x)) && y&0xFFFFFFFF == 0xFFFFFFFF => (Trunc64to32 x)
   750(Trunc32to8  (And32 (Const32 [y]) x)) && y&0xFF == 0xFF => (Trunc32to8 x)
   751(Trunc32to16 (And32 (Const32 [y]) x)) && y&0xFFFF == 0xFFFF => (Trunc32to16 x)
   752(Trunc16to8  (And16 (Const16 [y]) x)) && y&0xFF == 0xFF => (Trunc16to8 x)
   753
   754(ZeroExt8to64  (Trunc64to8  x:(Rsh64Ux64 _ (Const64 [s])))) && s >= 56 => x
   755(ZeroExt16to64 (Trunc64to16 x:(Rsh64Ux64 _ (Const64 [s])))) && s >= 48 => x
   756(ZeroExt32to64 (Trunc64to32 x:(Rsh64Ux64 _ (Const64 [s])))) && s >= 32 => x
   757(ZeroExt8to32  (Trunc32to8  x:(Rsh32Ux64 _ (Const64 [s])))) && s >= 24 => x
   758(ZeroExt16to32 (Trunc32to16 x:(Rsh32Ux64 _ (Const64 [s])))) && s >= 16 => x
   759(ZeroExt8to16  (Trunc16to8  x:(Rsh16Ux64 _ (Const64 [s])))) && s >= 8 => x
   760
   761(SignExt8to64  (Trunc64to8  x:(Rsh64x64 _ (Const64 [s])))) && s >= 56 => x
   762(SignExt16to64 (Trunc64to16 x:(Rsh64x64 _ (Const64 [s])))) && s >= 48 => x
   763(SignExt32to64 (Trunc64to32 x:(Rsh64x64 _ (Const64 [s])))) && s >= 32 => x
   764(SignExt8to32  (Trunc32to8  x:(Rsh32x64 _ (Const64 [s])))) && s >= 24 => x
   765(SignExt16to32 (Trunc32to16 x:(Rsh32x64 _ (Const64 [s])))) && s >= 16 => x
   766(SignExt8to16  (Trunc16to8  x:(Rsh16x64 _ (Const64 [s])))) && s >= 8 => x
   767
   768(Slicemask (Const32 [x])) && x > 0 => (Const32 [-1])
   769(Slicemask (Const32 [0]))          => (Const32 [0])
   770(Slicemask (Const64 [x])) && x > 0 => (Const64 [-1])
   771(Slicemask (Const64 [0]))          => (Const64 [0])
   772
   773// simplifications often used for lengths.  e.g. len(s[i:i+5])==5
   774(Sub(64|32|16|8) (Add(64|32|16|8) x y) x) => y
   775(Sub(64|32|16|8) (Add(64|32|16|8) x y) y) => x
   776(Sub(64|32|16|8) (Sub(64|32|16|8) x y) x) => (Neg(64|32|16|8) y)
   777(Sub(64|32|16|8) x (Add(64|32|16|8) x y)) => (Neg(64|32|16|8) y)
   778(Add(64|32|16|8) x (Sub(64|32|16|8) y x)) => y
   779(Add(64|32|16|8) x (Add(64|32|16|8) y (Sub(64|32|16|8) z x))) => (Add(64|32|16|8) y z)
   780
   781// basic phi simplifications
   782(Phi (Const8  [c]) (Const8  [c])) => (Const8  [c])
   783(Phi (Const16 [c]) (Const16 [c])) => (Const16 [c])
   784(Phi (Const32 [c]) (Const32 [c])) => (Const32 [c])
   785(Phi (Const64 [c]) (Const64 [c])) => (Const64 [c])
   786
   787// slice and interface comparisons
   788// The frontend ensures that we can only compare against nil,
   789// so we need only compare the first word (interface type or slice ptr).
   790(EqInter x y)  => (EqPtr  (ITab x) (ITab y))
   791(NeqInter x y) => (NeqPtr (ITab x) (ITab y))
   792(EqSlice x y)  => (EqPtr  (SlicePtr x) (SlicePtr y))
   793(NeqSlice x y) => (NeqPtr (SlicePtr x) (SlicePtr y))
   794
   795// Load of store of same address, with compatibly typed value and same size
   796(Load <t1> p1 (Store {t2} p2 x _))
   797	&& isSamePtr(p1, p2)
   798	&& copyCompatibleType(t1, x.Type)
   799	&& t1.Size() == t2.Size()
   800	=> x
   801(Load <t1> p1 (Store {t2} p2 _ (Store {t3} p3 x _)))
   802	&& isSamePtr(p1, p3)
   803	&& copyCompatibleType(t1, x.Type)
   804	&& t1.Size() == t3.Size()
   805	&& disjoint(p3, t3.Size(), p2, t2.Size())
   806	=> x
   807(Load <t1> p1 (Store {t2} p2 _ (Store {t3} p3 _ (Store {t4} p4 x _))))
   808	&& isSamePtr(p1, p4)
   809	&& copyCompatibleType(t1, x.Type)
   810	&& t1.Size() == t4.Size()
   811	&& disjoint(p4, t4.Size(), p2, t2.Size())
   812	&& disjoint(p4, t4.Size(), p3, t3.Size())
   813	=> x
   814(Load <t1> p1 (Store {t2} p2 _ (Store {t3} p3 _ (Store {t4} p4 _ (Store {t5} p5 x _)))))
   815	&& isSamePtr(p1, p5)
   816	&& copyCompatibleType(t1, x.Type)
   817	&& t1.Size() == t5.Size()
   818	&& disjoint(p5, t5.Size(), p2, t2.Size())
   819	&& disjoint(p5, t5.Size(), p3, t3.Size())
   820	&& disjoint(p5, t5.Size(), p4, t4.Size())
   821	=> x
   822
   823// Load from a region just copied by Move can read directly from the source.
   824(Load <t1> op:(OffPtr [o1] p1) move:(Move [n] p2 src mem))
   825	&& o1 >= 0 && o1+t1.Size() <= n && isSamePtr(p1, p2)
   826	&& !isVolatile(src)
   827	=> @move.Block (Load <t1> (OffPtr <op.Type> [o1] src) mem)
   828
   829// Pass constants through math.Float{32,64}bits and math.Float{32,64}frombits
   830(Load <t1> p1 (Store {t2} p2 (Const64  [x]) _)) && isSamePtr(p1,p2) && t2.Size() == 8 && is64BitFloat(t1) && !math.IsNaN(math.Float64frombits(uint64(x))) => (Const64F [math.Float64frombits(uint64(x))])
   831(Load <t1> p1 (Store {t2} p2 (Const32  [x]) _)) && isSamePtr(p1,p2) && t2.Size() == 4 && is32BitFloat(t1) && !math.IsNaN(float64(math.Float32frombits(uint32(x)))) => (Const32F [math.Float32frombits(uint32(x))])
   832(Load <t1> p1 (Store {t2} p2 (Const64F [x]) _)) && isSamePtr(p1,p2) && t2.Size() == 8 && is64BitInt(t1)   => (Const64  [int64(math.Float64bits(x))])
   833(Load <t1> p1 (Store {t2} p2 (Const32F [x]) _)) && isSamePtr(p1,p2) && t2.Size() == 4 && is32BitInt(t1)   => (Const32  [int32(math.Float32bits(x))])
   834
   835// Float Loads up to Zeros so they can be constant folded.
   836(Load <t1> op:(OffPtr [o1] p1)
   837	(Store {t2} p2 _
   838		mem:(Zero [n] p3 _)))
   839	&& o1 >= 0 && o1+t1.Size() <= n && isSamePtr(p1, p3)
   840	&& CanSSA(t1)
   841	&& disjoint(op, t1.Size(), p2, t2.Size())
   842	=> @mem.Block (Load <t1> (OffPtr <op.Type> [o1] p3) mem)
   843(Load <t1> op:(OffPtr [o1] p1)
   844	(Store {t2} p2 _
   845		(Store {t3} p3 _
   846			mem:(Zero [n] p4 _))))
   847	&& o1 >= 0 && o1+t1.Size() <= n && isSamePtr(p1, p4)
   848	&& CanSSA(t1)
   849	&& disjoint(op, t1.Size(), p2, t2.Size())
   850	&& disjoint(op, t1.Size(), p3, t3.Size())
   851	=> @mem.Block (Load <t1> (OffPtr <op.Type> [o1] p4) mem)
   852(Load <t1> op:(OffPtr [o1] p1)
   853	(Store {t2} p2 _
   854		(Store {t3} p3 _
   855			(Store {t4} p4 _
   856				mem:(Zero [n] p5 _)))))
   857	&& o1 >= 0 && o1+t1.Size() <= n && isSamePtr(p1, p5)
   858	&& CanSSA(t1)
   859	&& disjoint(op, t1.Size(), p2, t2.Size())
   860	&& disjoint(op, t1.Size(), p3, t3.Size())
   861	&& disjoint(op, t1.Size(), p4, t4.Size())
   862	=> @mem.Block (Load <t1> (OffPtr <op.Type> [o1] p5) mem)
   863(Load <t1> op:(OffPtr [o1] p1)
   864	(Store {t2} p2 _
   865		(Store {t3} p3 _
   866			(Store {t4} p4 _
   867				(Store {t5} p5 _
   868					mem:(Zero [n] p6 _))))))
   869	&& o1 >= 0 && o1+t1.Size() <= n && isSamePtr(p1, p6)
   870	&& CanSSA(t1)
   871	&& disjoint(op, t1.Size(), p2, t2.Size())
   872	&& disjoint(op, t1.Size(), p3, t3.Size())
   873	&& disjoint(op, t1.Size(), p4, t4.Size())
   874	&& disjoint(op, t1.Size(), p5, t5.Size())
   875	=> @mem.Block (Load <t1> (OffPtr <op.Type> [o1] p6) mem)
   876
   877// Zero to Load forwarding.
   878(Load <t1> (OffPtr [o] p1) (Zero [n] p2 _))
   879	&& t1.IsBoolean()
   880	&& isSamePtr(p1, p2)
   881	&& n >= o + 1
   882	=> (ConstBool [false])
   883(Load <t1> (OffPtr [o] p1) (Zero [n] p2 _))
   884	&& is8BitInt(t1)
   885	&& isSamePtr(p1, p2)
   886	&& n >= o + 1
   887	=> (Const8 [0])
   888(Load <t1> (OffPtr [o] p1) (Zero [n] p2 _))
   889	&& is16BitInt(t1)
   890	&& isSamePtr(p1, p2)
   891	&& n >= o + 2
   892	=> (Const16 [0])
   893(Load <t1> (OffPtr [o] p1) (Zero [n] p2 _))
   894	&& is32BitInt(t1)
   895	&& isSamePtr(p1, p2)
   896	&& n >= o + 4
   897	=> (Const32 [0])
   898(Load <t1> (OffPtr [o] p1) (Zero [n] p2 _))
   899	&& is64BitInt(t1)
   900	&& isSamePtr(p1, p2)
   901	&& n >= o + 8
   902	=> (Const64 [0])
   903(Load <t1> (OffPtr [o] p1) (Zero [n] p2 _))
   904	&& is32BitFloat(t1)
   905	&& isSamePtr(p1, p2)
   906	&& n >= o + 4
   907	=> (Const32F [0])
   908(Load <t1> (OffPtr [o] p1) (Zero [n] p2 _))
   909	&& is64BitFloat(t1)
   910	&& isSamePtr(p1, p2)
   911	&& n >= o + 8
   912	=> (Const64F [0])
   913
   914// Eliminate stores of values that have just been loaded from the same location.
   915// We also handle the common case where there are some intermediate stores.
   916(Store {t1} p1 (Load <t2> p2 mem) mem)
   917	&& isSamePtr(p1, p2)
   918	&& t2.Size() == t1.Size()
   919	=> mem
   920(Store {t1} p1 (Load <t2> p2 oldmem) mem:(Store {t3} p3 _ oldmem))
   921	&& isSamePtr(p1, p2)
   922	&& t2.Size() == t1.Size()
   923	&& disjoint(p1, t1.Size(), p3, t3.Size())
   924	=> mem
   925(Store {t1} p1 (Load <t2> p2 oldmem) mem:(Store {t3} p3 _ (Store {t4} p4 _ oldmem)))
   926	&& isSamePtr(p1, p2)
   927	&& t2.Size() == t1.Size()
   928	&& disjoint(p1, t1.Size(), p3, t3.Size())
   929	&& disjoint(p1, t1.Size(), p4, t4.Size())
   930	=> mem
   931(Store {t1} p1 (Load <t2> p2 oldmem) mem:(Store {t3} p3 _ (Store {t4} p4 _ (Store {t5} p5 _ oldmem))))
   932	&& isSamePtr(p1, p2)
   933	&& t2.Size() == t1.Size()
   934	&& disjoint(p1, t1.Size(), p3, t3.Size())
   935	&& disjoint(p1, t1.Size(), p4, t4.Size())
   936	&& disjoint(p1, t1.Size(), p5, t5.Size())
   937	=> mem
   938
   939// Don't Store zeros to cleared variables.
   940(Store {t} (OffPtr [o] p1) x mem:(Zero [n] p2 _))
   941	&& isConstZero(x)
   942	&& o >= 0 && t.Size() + o <= n && isSamePtr(p1, p2)
   943	=> mem
   944(Store {t1} op:(OffPtr [o1] p1) x mem:(Store {t2} p2 _ (Zero [n] p3 _)))
   945	&& isConstZero(x)
   946	&& o1 >= 0 && t1.Size() + o1 <= n && isSamePtr(p1, p3)
   947	&& disjoint(op, t1.Size(), p2, t2.Size())
   948	=> mem
   949(Store {t1} op:(OffPtr [o1] p1) x mem:(Store {t2} p2 _ (Store {t3} p3 _ (Zero [n] p4 _))))
   950	&& isConstZero(x)
   951	&& o1 >= 0 && t1.Size() + o1 <= n && isSamePtr(p1, p4)
   952	&& disjoint(op, t1.Size(), p2, t2.Size())
   953	&& disjoint(op, t1.Size(), p3, t3.Size())
   954	=> mem
   955(Store {t1} op:(OffPtr [o1] p1) x mem:(Store {t2} p2 _ (Store {t3} p3 _ (Store {t4} p4 _ (Zero [n] p5 _)))))
   956	&& isConstZero(x)
   957	&& o1 >= 0 && t1.Size() + o1 <= n && isSamePtr(p1, p5)
   958	&& disjoint(op, t1.Size(), p2, t2.Size())
   959	&& disjoint(op, t1.Size(), p3, t3.Size())
   960	&& disjoint(op, t1.Size(), p4, t4.Size())
   961	=> mem
   962
   963// Collapse OffPtr
   964(OffPtr (OffPtr p [y]) [x]) => (OffPtr p [x+y])
   965(OffPtr p [0]) && v.Type.Compare(p.Type) == types.CMPeq => p
   966
   967// indexing operations
   968// Note: bounds check has already been done
   969(PtrIndex <t> ptr idx) && config.PtrSize == 4 && is32Bit(t.Elem().Size()) => (AddPtr ptr (Mul32 <typ.Int> idx (Const32 <typ.Int> [int32(t.Elem().Size())])))
   970(PtrIndex <t> ptr idx) && config.PtrSize == 8 => (AddPtr ptr (Mul64 <typ.Int> idx (Const64 <typ.Int> [t.Elem().Size()])))
   971
   972// struct operations
   973(StructSelect [i] x:(StructMake ___)) => x.Args[i]
   974(Load <t> _ _) && t.IsStruct() && t.Size() > 0 && CanSSA(t) && !t.IsSIMD() => rewriteStructLoad(v)
   975(Store _ (StructMake ___) _) => rewriteStructStore(v)
   976
   977(StructSelect [i] x:(Load <t> ptr mem)) && !CanSSA(t) =>
   978  @x.Block (Load <v.Type> (OffPtr <v.Type.PtrTo()> [t.FieldOff(int(i))] ptr) mem)
   979
   980// Putting struct{*byte} and similar into direct interfaces.
   981(IMake _typ (StructMake ___)) => imakeOfStructMake(v)
   982(StructSelect (IData x)) && v.Type.Size() > 0 => (IData x)
   983(StructSelect (IData x)) && v.Type.Size() == 0 => (Empty)
   984
   985// un-SSAable values use mem->mem copies
   986(Store {t} dst (Load src mem) mem) && !CanSSA(t) =>
   987	(Move {t} [t.Size()] dst src mem)
   988(Store {t} dst (Load src mem) (VarDef {x} mem)) && !CanSSA(t) =>
   989	(Move {t} [t.Size()] dst src (VarDef {x} mem))
   990
   991// array ops
   992(ArraySelect (ArrayMake1 x)) => x
   993
   994(Load <t> ptr mem) && t.IsArray() && t.NumElem() == 1 && CanSSA(t) =>
   995  (ArrayMake1 (Load <t.Elem()> ptr mem))
   996
   997(Store dst (ArrayMake1 e) mem) => (Store {e.Type} dst e mem)
   998
   999// Putting [1]*byte and similar into direct interfaces.
  1000(IMake _typ (ArrayMake1 val)) => (IMake _typ val)
  1001(ArraySelect [0] (IData x)) => (IData x)
  1002
  1003// zero-sized values.
  1004(Load <t> _ _) && t.Size() == 0 => (Empty)
  1005(Store _ (Empty) mem) => mem
  1006
  1007// string ops
  1008// Decomposing StringMake and lowering of StringPtr and StringLen
  1009// happens in a later pass, dec, so that these operations are available
  1010// to other passes for optimizations.
  1011(StringPtr (StringMake (Addr <t> {s} base) _)) => (Addr <t> {s} base)
  1012(StringLen (StringMake _ (Const64 <t> [c]))) => (Const64 <t> [c])
  1013(ConstString {str}) && config.PtrSize == 4 && str == "" =>
  1014  (StringMake (ConstNil) (Const32 <typ.Int> [0]))
  1015(ConstString {str}) && config.PtrSize == 8 && str == "" =>
  1016  (StringMake (ConstNil) (Const64 <typ.Int> [0]))
  1017(ConstString {str}) && config.PtrSize == 4 && str != "" =>
  1018  (StringMake
  1019    (Addr <typ.BytePtr> {fe.StringData(str)}
  1020      (SB))
  1021    (Const32 <typ.Int> [int32(len(str))]))
  1022(ConstString {str}) && config.PtrSize == 8 && str != "" =>
  1023  (StringMake
  1024    (Addr <typ.BytePtr> {fe.StringData(str)}
  1025      (SB))
  1026    (Const64 <typ.Int> [int64(len(str))]))
  1027
  1028// slice ops
  1029// Only a few slice rules are provided here.  See dec.rules for
  1030// a more comprehensive set.
  1031(SliceLen (SliceMake _ (Const64 <t> [c]) _)) => (Const64 <t> [c])
  1032(SliceCap (SliceMake _ _ (Const64 <t> [c]))) => (Const64 <t> [c])
  1033(SliceLen (SliceMake _ (Const32 <t> [c]) _)) => (Const32 <t> [c])
  1034(SliceCap (SliceMake _ _ (Const32 <t> [c]))) => (Const32 <t> [c])
  1035(SlicePtr (SliceMake (SlicePtr x) _ _)) => (SlicePtr x)
  1036(SliceLen (SliceMake _ (SliceLen x) _)) => (SliceLen x)
  1037(SliceCap (SliceMake _ _ (SliceCap x))) => (SliceCap x)
  1038(SliceCap (SliceMake _ _ (SliceLen x))) => (SliceLen x)
  1039(ConstSlice) && config.PtrSize == 4 =>
  1040  (SliceMake
  1041    (ConstNil <v.Type.Elem().PtrTo()>)
  1042    (Const32 <typ.Int> [0])
  1043    (Const32 <typ.Int> [0]))
  1044(ConstSlice) && config.PtrSize == 8 =>
  1045  (SliceMake
  1046    (ConstNil <v.Type.Elem().PtrTo()>)
  1047    (Const64 <typ.Int> [0])
  1048    (Const64 <typ.Int> [0]))
  1049(SliceLen (Phi (SliceMake _ x _) (SliceMake _ x _))) => x
  1050(SliceCap (Phi (SliceMake _ _ x) (SliceMake _ _ x))) => x
  1051
  1052// Special rule to help constant slicing; len > 0 implies cap > 0 implies Slicemask is all 1
  1053(SliceMake (AddPtr <t> x (And64 y (Slicemask _))) w:(Const64 [c]) z) && c > 0 => (SliceMake (AddPtr <t> x y) w z)
  1054(SliceMake (AddPtr <t> x (And32 y (Slicemask _))) w:(Const32 [c]) z) && c > 0 => (SliceMake (AddPtr <t> x y) w z)
  1055
  1056// interface ops
  1057(ConstInterface) =>
  1058  (IMake
  1059    (ConstNil <typ.Uintptr>)
  1060    (ConstNil <typ.BytePtr>))
  1061
  1062(NilCheck ptr:(GetG mem) mem) => ptr
  1063
  1064(If (Not cond) yes no) => (If cond no yes)
  1065(If (ConstBool [c]) yes no) && c => (First yes no)
  1066(If (ConstBool [c]) yes no) && !c => (First no yes)
  1067
  1068(Phi <t> nx:(Not x) ny:(Not y)) && nx.Uses == 1 && ny.Uses == 1 => (Not (Phi <t> x y))
  1069
  1070// Get rid of Convert ops for pointer arithmetic on unsafe.Pointer.
  1071(Convert (Add(64|32) (Convert ptr mem) off) mem) => (AddPtr ptr off)
  1072(Convert (Convert ptr mem) mem) => ptr
  1073// Note: it is important that the target rewrite is ptr+(off1+off2), not (ptr+off1)+off2.
  1074// We must ensure that no intermediate computations are invalid pointers.
  1075(Convert a:(Add(64|32) (Add(64|32) (Convert ptr mem) off1) off2) mem) => (AddPtr ptr (Add(64|32) <a.Type> off1 off2))
  1076
  1077// Simplification of divisions.
  1078// Only trivial, easily analyzed (by prove) rewrites here.
  1079// Strength reduction of div to mul is delayed to divmod.rules.
  1080
  1081// Signed divide by a negative constant.  Rewrite to divide by a positive constant.
  1082(Div8  <t> n (Const8  [c])) && c < 0 && c != -1<<7  => (Neg8  (Div8  <t> n (Const8  <t> [-c])))
  1083(Div16 <t> n (Const16 [c])) && c < 0 && c != -1<<15 => (Neg16 (Div16 <t> n (Const16 <t> [-c])))
  1084(Div32 <t> n (Const32 [c])) && c < 0 && c != -1<<31 => (Neg32 (Div32 <t> n (Const32 <t> [-c])))
  1085(Div64 <t> n (Const64 [c])) && c < 0 && c != -1<<63 => (Neg64 (Div64 <t> n (Const64 <t> [-c])))
  1086
  1087// Dividing by the most-negative number.  Result is always 0 except
  1088// if the input is also the most-negative number.
  1089// We can detect that using the sign bit of x & -x.
  1090(Div64 x (Const64 [-1<<63])) && isNonNegative(x) => (Const64 [0])
  1091(Div8  <t> x (Const8  [-1<<7 ])) => (Rsh8Ux64  (And8  <t> x (Neg8  <t> x)) (Const64 <typ.UInt64> [7 ]))
  1092(Div16 <t> x (Const16 [-1<<15])) => (Rsh16Ux64 (And16 <t> x (Neg16 <t> x)) (Const64 <typ.UInt64> [15]))
  1093(Div32 <t> x (Const32 [-1<<31])) => (Rsh32Ux64 (And32 <t> x (Neg32 <t> x)) (Const64 <typ.UInt64> [31]))
  1094(Div64 <t> x (Const64 [-1<<63])) => (Rsh64Ux64 (And64 <t> x (Neg64 <t> x)) (Const64 <typ.UInt64> [63]))
  1095
  1096// Unsigned divide by power of 2.  Strength reduce to a shift.
  1097(Div8u  n (Const8  [c])) && isPowerOfTwo(uint8(c)) => (Rsh8Ux64  n (Const64 <typ.UInt64> [log8u(uint8(c))]))
  1098(Div16u n (Const16 [c])) && isPowerOfTwo(uint16(c)) => (Rsh16Ux64 n (Const64 <typ.UInt64> [log16u(uint16(c))]))
  1099(Div32u n (Const32 [c])) && isPowerOfTwo(uint32(c)) => (Rsh32Ux64 n (Const64 <typ.UInt64> [log32u(uint32(c))]))
  1100(Div64u n (Const64 [c])) && isPowerOfTwo(uint64(c)) => (Rsh64Ux64 n (Const64 <typ.UInt64> [log64u(uint64(c))]))
  1101
  1102// Strength reduce multiplication by a power of two to a shift.
  1103// Excluded from early opt so that prove can recognize mod
  1104// by the x - (x/d)*d pattern.
  1105// (Runs during "middle opt" and "late opt".)
  1106(Mul8  <t> x (Const8  [c])) && isPowerOfTwo(uint8(c)) && v.Block.Func.pass.name != "opt" =>
  1107  (Lsh8x64  <t> x (Const64 <typ.UInt64> [log8u(uint8(c))]))
  1108(Mul16 <t> x (Const16 [c])) && isPowerOfTwo(uint16(c)) && v.Block.Func.pass.name != "opt" =>
  1109  (Lsh16x64 <t> x (Const64 <typ.UInt64> [log16u(uint16(c))]))
  1110(Mul32 <t> x (Const32 [c])) && isPowerOfTwo(uint32(c)) && v.Block.Func.pass.name != "opt" =>
  1111  (Lsh32x64 <t> x (Const64 <typ.UInt64> [log32u(uint32(c))]))
  1112(Mul64 <t> x (Const64 [c])) && isPowerOfTwo(uint64(c)) && v.Block.Func.pass.name != "opt" =>
  1113  (Lsh64x64 <t> x (Const64 <typ.UInt64> [log64u(uint64(c))]))
  1114(Mul8  <t> x (Const8  [c])) && isPowerOfTwo(uint8(-c)) && v.Block.Func.pass.name != "opt" =>
  1115  (Neg8  (Lsh8x64  <t> x (Const64 <typ.UInt64> [log8u(uint8(-c))])))
  1116(Mul16 <t> x (Const16 [c])) && isPowerOfTwo(uint16(-c)) && v.Block.Func.pass.name != "opt" =>
  1117  (Neg16 (Lsh16x64 <t> x (Const64 <typ.UInt64> [log16u(uint16(-c))])))
  1118(Mul32 <t> x (Const32 [c])) && isPowerOfTwo(uint32(-c)) && v.Block.Func.pass.name != "opt" =>
  1119  (Neg32 (Lsh32x64 <t> x (Const64 <typ.UInt64> [log32u(uint32(-c))])))
  1120(Mul64 <t> x (Const64 [c])) && isPowerOfTwo(uint64(-c)) && v.Block.Func.pass.name != "opt" =>
  1121  (Neg64 (Lsh64x64 <t> x (Const64 <typ.UInt64> [log64u(uint64(-c))])))
  1122
  1123// Strength reduction of mod to div.
  1124// Strength reduction of div to mul is delayed to divmod.rules.
  1125
  1126// Unsigned mod by power of 2 constant.
  1127(Mod8u  <t> n (Const8  [c])) && isPowerOfTwo(uint8(c)) => (And8  n (Const8  <t> [c-1]))
  1128(Mod16u <t> n (Const16 [c])) && isPowerOfTwo(uint16(c)) => (And16 n (Const16 <t> [c-1]))
  1129(Mod32u <t> n (Const32 [c])) && isPowerOfTwo(uint32(c)) => (And32 n (Const32 <t> [c-1]))
  1130(Mod64u <t> n (Const64 [c])) && isPowerOfTwo(uint64(c)) => (And64 n (Const64 <t> [c-1]))
  1131
  1132// Signed non-negative mod by power of 2 constant.
  1133// TODO: Replace ModN with ModNu in prove.
  1134(Mod8  <t> n (Const8  [c])) && isNonNegative(n) && isPowerOfTwo(c) => (And8  n (Const8  <t> [c-1]))
  1135(Mod16 <t> n (Const16 [c])) && isNonNegative(n) && isPowerOfTwo(c) => (And16 n (Const16 <t> [c-1]))
  1136(Mod32 <t> n (Const32 [c])) && isNonNegative(n) && isPowerOfTwo(c) => (And32 n (Const32 <t> [c-1]))
  1137(Mod64 <t> n (Const64 [c])) && isNonNegative(n) && isPowerOfTwo(c) => (And64 n (Const64 <t> [c-1]))
  1138(Mod64 n (Const64 [-1<<63])) && isNonNegative(n)                   => n
  1139
  1140// Signed mod by negative constant.
  1141(Mod8  <t> n (Const8  [c])) && c < 0 && c != -1<<7  => (Mod8  <t> n (Const8  <t> [-c]))
  1142(Mod16 <t> n (Const16 [c])) && c < 0 && c != -1<<15 => (Mod16 <t> n (Const16 <t> [-c]))
  1143(Mod32 <t> n (Const32 [c])) && c < 0 && c != -1<<31 => (Mod32 <t> n (Const32 <t> [-c]))
  1144(Mod64 <t> n (Const64 [c])) && c < 0 && c != -1<<63 => (Mod64 <t> n (Const64 <t> [-c]))
  1145
  1146// All other mods by constants, do A%B = A-(A/B*B).
  1147// This implements % with two * and a bunch of ancillary ops.
  1148// One of the * is free if the user's code also computes A/B.
  1149(Mod8   <t> x (Const8  [c])) && x.Op != OpConst8  && (c > 0 || c == -1<<7)
  1150  => (Sub8  x (Mul8  <t> (Div8   <t> x (Const8  <t> [c])) (Const8  <t> [c])))
  1151(Mod16  <t> x (Const16 [c])) && x.Op != OpConst16 && (c > 0 || c == -1<<15)
  1152  => (Sub16 x (Mul16 <t> (Div16  <t> x (Const16 <t> [c])) (Const16 <t> [c])))
  1153(Mod32  <t> x (Const32 [c])) && x.Op != OpConst32 && (c > 0 || c == -1<<31)
  1154  => (Sub32 x (Mul32 <t> (Div32  <t> x (Const32 <t> [c])) (Const32 <t> [c])))
  1155(Mod64  <t> x (Const64 [c])) && x.Op != OpConst64 && (c > 0 || c == -1<<63)
  1156  => (Sub64 x (Mul64 <t> (Div64  <t> x (Const64 <t> [c])) (Const64 <t> [c])))
  1157(Mod8u  <t> x (Const8  [c])) && x.Op != OpConst8  && c != 0
  1158  => (Sub8  x (Mul8  <t> (Div8u  <t> x (Const8  <t> [c])) (Const8  <t> [c])))
  1159(Mod16u <t> x (Const16 [c])) && x.Op != OpConst16 && c != 0
  1160  => (Sub16 x (Mul16 <t> (Div16u <t> x (Const16 <t> [c])) (Const16 <t> [c])))
  1161(Mod32u <t> x (Const32 [c])) && x.Op != OpConst32 && c != 0
  1162  => (Sub32 x (Mul32 <t> (Div32u <t> x (Const32 <t> [c])) (Const32 <t> [c])))
  1163(Mod64u <t> x (Const64 [c])) && x.Op != OpConst64 && c != 0
  1164  => (Sub64 x (Mul64 <t> (Div64u <t> x (Const64 <t> [c])) (Const64 <t> [c])))
  1165
  1166// Set up for mod->mul+rot optimization in genericlateopt.rules.
  1167// For architectures without rotates on less than 32-bits, promote to 32-bit.
  1168// TODO: Also != 0 case?
  1169(Eq8 (Mod8u x (Const8  [c])) (Const8 [0])) && x.Op != OpConst8 && udivisibleOK8(c) && !hasSmallRotate(config) =>
  1170	(Eq32 (Mod32u <typ.UInt32> (ZeroExt8to32 <typ.UInt32> x) (Const32 <typ.UInt32> [int32(uint8(c))])) (Const32 <typ.UInt32> [0]))
  1171(Eq16 (Mod16u x (Const16  [c])) (Const16 [0])) && x.Op != OpConst16 && udivisibleOK16(c) && !hasSmallRotate(config) =>
  1172	(Eq32 (Mod32u <typ.UInt32> (ZeroExt16to32 <typ.UInt32> x) (Const32 <typ.UInt32> [int32(uint16(c))])) (Const32 <typ.UInt32> [0]))
  1173(Eq8 (Mod8 x (Const8  [c])) (Const8 [0])) && x.Op != OpConst8 && sdivisibleOK8(c) && !hasSmallRotate(config) =>
  1174	(Eq32 (Mod32 <typ.Int32> (SignExt8to32 <typ.Int32> x) (Const32 <typ.Int32> [int32(c)])) (Const32 <typ.Int32> [0]))
  1175(Eq16 (Mod16 x (Const16  [c])) (Const16 [0])) && x.Op != OpConst16 && sdivisibleOK16(c) && !hasSmallRotate(config) =>
  1176	(Eq32 (Mod32 <typ.Int32> (SignExt16to32 <typ.Int32> x) (Const32 <typ.Int32> [int32(c)])) (Const32 <typ.Int32> [0]))
  1177
  1178(Eq(8|16|32|64)  s:(Sub(8|16|32|64) x y) (Const(8|16|32|64) [0])) && s.Uses == 1 => (Eq(8|16|32|64)  x y)
  1179(Neq(8|16|32|64) s:(Sub(8|16|32|64) x y) (Const(8|16|32|64) [0])) && s.Uses == 1 => (Neq(8|16|32|64) x y)
  1180
  1181// Optimize bitsets
  1182(Eq(8|16|32|64) (And(8|16|32|64) <t> x (Const(8|16|32|64) <t> [y])) (Const(8|16|32|64) <t> [y])) && oneBit(y)
  1183  => (Neq(8|16|32|64) (And(8|16|32|64) <t> x (Const(8|16|32|64) <t> [y])) (Const(8|16|32|64) <t> [0]))
  1184(Neq(8|16|32|64) (And(8|16|32|64) <t> x (Const(8|16|32|64) <t> [y])) (Const(8|16|32|64) <t> [y])) && oneBit(y)
  1185  => (Eq(8|16|32|64) (And(8|16|32|64) <t> x (Const(8|16|32|64) <t> [y])) (Const(8|16|32|64) <t> [0]))
  1186
  1187// Mark newly generated bounded shifts as bounded, for opt passes after prove.
  1188(Lsh64x(8|16|32|64)  [false] x con:(Const(8|16|32|64) [c])) && 0 < c && c < 64 => (Lsh64x(8|16|32|64)  [true] x con)
  1189(Rsh64x(8|16|32|64)  [false] x con:(Const(8|16|32|64) [c])) && 0 < c && c < 64 => (Rsh64x(8|16|32|64)  [true] x con)
  1190(Rsh64Ux(8|16|32|64) [false] x con:(Const(8|16|32|64) [c])) && 0 < c && c < 64 => (Rsh64Ux(8|16|32|64) [true] x con)
  1191(Lsh32x(8|16|32|64)  [false] x con:(Const(8|16|32|64) [c])) && 0 < c && c < 32 => (Lsh32x(8|16|32|64)  [true] x con)
  1192(Rsh32x(8|16|32|64)  [false] x con:(Const(8|16|32|64) [c])) && 0 < c && c < 32 => (Rsh32x(8|16|32|64)  [true] x con)
  1193(Rsh32Ux(8|16|32|64) [false] x con:(Const(8|16|32|64) [c])) && 0 < c && c < 32 => (Rsh32Ux(8|16|32|64) [true] x con)
  1194(Lsh16x(8|16|32|64)  [false] x con:(Const(8|16|32|64) [c])) && 0 < c && c < 16 => (Lsh16x(8|16|32|64)  [true] x con)
  1195(Rsh16x(8|16|32|64)  [false] x con:(Const(8|16|32|64) [c])) && 0 < c && c < 16 => (Rsh16x(8|16|32|64)  [true] x con)
  1196(Rsh16Ux(8|16|32|64) [false] x con:(Const(8|16|32|64) [c])) && 0 < c && c < 16 => (Rsh16Ux(8|16|32|64) [true] x con)
  1197(Lsh8x(8|16|32|64)   [false] x con:(Const(8|16|32|64) [c])) && 0 < c && c < 8  => (Lsh8x(8|16|32|64)   [true] x con)
  1198(Rsh8x(8|16|32|64)   [false] x con:(Const(8|16|32|64) [c])) && 0 < c && c < 8  => (Rsh8x(8|16|32|64)   [true] x con)
  1199(Rsh8Ux(8|16|32|64)  [false] x con:(Const(8|16|32|64) [c])) && 0 < c && c < 8  => (Rsh8Ux(8|16|32|64)  [true] x con)
  1200
  1201// Reassociate expressions involving
  1202// constants such that constants come first,
  1203// exposing obvious constant-folding opportunities.
  1204// Reassociate (op (op y C) x) to (op C (op x y)) or similar, where C
  1205// is constant, which pushes constants to the outside
  1206// of the expression. At that point, any constant-folding
  1207// opportunities should be obvious.
  1208// Note: don't include AddPtr here! In order to maintain the
  1209// invariant that pointers must stay within the pointed-to object,
  1210// we can't pull part of a pointer computation above the AddPtr.
  1211// See issue 37881.
  1212// Note: we don't need to handle any (x-C) cases because we already rewrite
  1213// (x-C) to (x+(-C)).
  1214
  1215// x + (C + z) -> C + (x + z)
  1216(Add64 (Add64 i:(Const64 <t>) z) x) && (z.Op != OpConst64 && x.Op != OpConst64) => (Add64 i (Add64 <t> z x))
  1217(Add32 (Add32 i:(Const32 <t>) z) x) && (z.Op != OpConst32 && x.Op != OpConst32) => (Add32 i (Add32 <t> z x))
  1218(Add16 (Add16 i:(Const16 <t>) z) x) && (z.Op != OpConst16 && x.Op != OpConst16) => (Add16 i (Add16 <t> z x))
  1219(Add8  (Add8  i:(Const8  <t>) z) x) && (z.Op != OpConst8  && x.Op != OpConst8)  => (Add8  i (Add8  <t> z x))
  1220
  1221// x + (C - z) -> C + (x - z)
  1222(Add64 (Sub64 i:(Const64 <t>) z) x) && (z.Op != OpConst64 && x.Op != OpConst64) => (Add64 i (Sub64 <t> x z))
  1223(Add32 (Sub32 i:(Const32 <t>) z) x) && (z.Op != OpConst32 && x.Op != OpConst32) => (Add32 i (Sub32 <t> x z))
  1224(Add16 (Sub16 i:(Const16 <t>) z) x) && (z.Op != OpConst16 && x.Op != OpConst16) => (Add16 i (Sub16 <t> x z))
  1225(Add8  (Sub8  i:(Const8  <t>) z) x) && (z.Op != OpConst8  && x.Op != OpConst8)  => (Add8  i (Sub8  <t> x z))
  1226
  1227// x - (C - z) -> x + (z - C) -> (x + z) - C
  1228(Sub64 x (Sub64 i:(Const64 <t>) z)) && (z.Op != OpConst64 && x.Op != OpConst64) => (Sub64 (Add64 <t> x z) i)
  1229(Sub32 x (Sub32 i:(Const32 <t>) z)) && (z.Op != OpConst32 && x.Op != OpConst32) => (Sub32 (Add32 <t> x z) i)
  1230(Sub16 x (Sub16 i:(Const16 <t>) z)) && (z.Op != OpConst16 && x.Op != OpConst16) => (Sub16 (Add16 <t> x z) i)
  1231(Sub8  x (Sub8  i:(Const8  <t>) z)) && (z.Op != OpConst8  && x.Op != OpConst8)  => (Sub8  (Add8  <t> x z) i)
  1232
  1233// x - (z + C) -> x + (-z - C) -> (x - z) - C
  1234(Sub64 x (Add64 z i:(Const64 <t>))) && (z.Op != OpConst64 && x.Op != OpConst64) => (Sub64 (Sub64 <t> x z) i)
  1235(Sub32 x (Add32 z i:(Const32 <t>))) && (z.Op != OpConst32 && x.Op != OpConst32) => (Sub32 (Sub32 <t> x z) i)
  1236(Sub16 x (Add16 z i:(Const16 <t>))) && (z.Op != OpConst16 && x.Op != OpConst16) => (Sub16 (Sub16 <t> x z) i)
  1237(Sub8  x (Add8  z i:(Const8  <t>))) && (z.Op != OpConst8  && x.Op != OpConst8)  => (Sub8 (Sub8  <t> x z) i)
  1238
  1239// (C - z) - x -> C - (z + x)
  1240(Sub64 (Sub64 i:(Const64 <t>) z) x) && (z.Op != OpConst64 && x.Op != OpConst64) => (Sub64 i (Add64 <t> z x))
  1241(Sub32 (Sub32 i:(Const32 <t>) z) x) && (z.Op != OpConst32 && x.Op != OpConst32) => (Sub32 i (Add32 <t> z x))
  1242(Sub16 (Sub16 i:(Const16 <t>) z) x) && (z.Op != OpConst16 && x.Op != OpConst16) => (Sub16 i (Add16 <t> z x))
  1243(Sub8  (Sub8  i:(Const8  <t>) z) x) && (z.Op != OpConst8  && x.Op != OpConst8)  => (Sub8  i (Add8  <t> z x))
  1244
  1245// (z + C) -x -> C + (z - x)
  1246(Sub64 (Add64 z i:(Const64 <t>)) x) && (z.Op != OpConst64 && x.Op != OpConst64) => (Add64 i (Sub64 <t> z x))
  1247(Sub32 (Add32 z i:(Const32 <t>)) x) && (z.Op != OpConst32 && x.Op != OpConst32) => (Add32 i (Sub32 <t> z x))
  1248(Sub16 (Add16 z i:(Const16 <t>)) x) && (z.Op != OpConst16 && x.Op != OpConst16) => (Add16 i (Sub16 <t> z x))
  1249(Sub8  (Add8  z i:(Const8  <t>)) x) && (z.Op != OpConst8  && x.Op != OpConst8)  => (Add8  i (Sub8  <t> z x))
  1250
  1251// x & (C & z) -> C & (x & z)
  1252(And64 (And64 i:(Const64 <t>) z) x) && (z.Op != OpConst64 && x.Op != OpConst64) => (And64 i (And64 <t> z x))
  1253(And32 (And32 i:(Const32 <t>) z) x) && (z.Op != OpConst32 && x.Op != OpConst32) => (And32 i (And32 <t> z x))
  1254(And16 (And16 i:(Const16 <t>) z) x) && (z.Op != OpConst16 && x.Op != OpConst16) => (And16 i (And16 <t> z x))
  1255(And8  (And8  i:(Const8  <t>) z) x) && (z.Op != OpConst8  && x.Op != OpConst8)  => (And8  i (And8  <t> z x))
  1256
  1257// x | (C | z) -> C | (x | z)
  1258(Or64 (Or64 i:(Const64 <t>) z) x) && (z.Op != OpConst64 && x.Op != OpConst64) => (Or64 i (Or64 <t> z x))
  1259(Or32 (Or32 i:(Const32 <t>) z) x) && (z.Op != OpConst32 && x.Op != OpConst32) => (Or32 i (Or32 <t> z x))
  1260(Or16 (Or16 i:(Const16 <t>) z) x) && (z.Op != OpConst16 && x.Op != OpConst16) => (Or16 i (Or16 <t> z x))
  1261(Or8  (Or8  i:(Const8  <t>) z) x) && (z.Op != OpConst8  && x.Op != OpConst8)  => (Or8  i (Or8  <t> z x))
  1262
  1263// x ^ (C ^ z) -> C ^ (x ^ z)
  1264(Xor64 (Xor64 i:(Const64 <t>) z) x) && (z.Op != OpConst64 && x.Op != OpConst64) => (Xor64 i (Xor64 <t> z x))
  1265(Xor32 (Xor32 i:(Const32 <t>) z) x) && (z.Op != OpConst32 && x.Op != OpConst32) => (Xor32 i (Xor32 <t> z x))
  1266(Xor16 (Xor16 i:(Const16 <t>) z) x) && (z.Op != OpConst16 && x.Op != OpConst16) => (Xor16 i (Xor16 <t> z x))
  1267(Xor8  (Xor8  i:(Const8  <t>) z) x) && (z.Op != OpConst8  && x.Op != OpConst8)  => (Xor8  i (Xor8  <t> z x))
  1268
  1269// x * (D * z) = D * (x * z)
  1270(Mul64 (Mul64 i:(Const64 <t>) z) x) && (z.Op != OpConst64 && x.Op != OpConst64) => (Mul64 i (Mul64 <t> x z))
  1271(Mul32 (Mul32 i:(Const32 <t>) z) x) && (z.Op != OpConst32 && x.Op != OpConst32) => (Mul32 i (Mul32 <t> x z))
  1272(Mul16 (Mul16 i:(Const16 <t>) z) x) && (z.Op != OpConst16 && x.Op != OpConst16) => (Mul16 i (Mul16 <t> x z))
  1273(Mul8  (Mul8  i:(Const8  <t>) z) x) && (z.Op != OpConst8  && x.Op != OpConst8)  => (Mul8  i (Mul8  <t> x z))
  1274
  1275// C + (D + x) -> (C + D) + x
  1276(Add64 (Const64 <t> [c]) (Add64 (Const64 <t> [d]) x)) => (Add64 (Const64 <t> [c+d]) x)
  1277(Add32 (Const32 <t> [c]) (Add32 (Const32 <t> [d]) x)) => (Add32 (Const32 <t> [c+d]) x)
  1278(Add16 (Const16 <t> [c]) (Add16 (Const16 <t> [d]) x)) => (Add16 (Const16 <t> [c+d]) x)
  1279(Add8  (Const8  <t> [c]) (Add8  (Const8  <t> [d]) x)) => (Add8  (Const8  <t> [c+d]) x)
  1280
  1281// C + (D - x) -> (C + D) - x
  1282(Add64 (Const64 <t> [c]) (Sub64 (Const64 <t> [d]) x)) => (Sub64 (Const64 <t> [c+d]) x)
  1283(Add32 (Const32 <t> [c]) (Sub32 (Const32 <t> [d]) x)) => (Sub32 (Const32 <t> [c+d]) x)
  1284(Add16 (Const16 <t> [c]) (Sub16 (Const16 <t> [d]) x)) => (Sub16 (Const16 <t> [c+d]) x)
  1285(Add8  (Const8  <t> [c]) (Sub8  (Const8  <t> [d]) x)) => (Sub8  (Const8  <t> [c+d]) x)
  1286
  1287// C - (D - x) -> (C - D) + x
  1288(Sub64 (Const64 <t> [c]) (Sub64 (Const64 <t> [d]) x)) => (Add64 (Const64 <t> [c-d]) x)
  1289(Sub32 (Const32 <t> [c]) (Sub32 (Const32 <t> [d]) x)) => (Add32 (Const32 <t> [c-d]) x)
  1290(Sub16 (Const16 <t> [c]) (Sub16 (Const16 <t> [d]) x)) => (Add16 (Const16 <t> [c-d]) x)
  1291(Sub8  (Const8  <t> [c]) (Sub8  (Const8  <t> [d]) x)) => (Add8  (Const8  <t> [c-d]) x)
  1292
  1293// C - (D + x) -> (C - D) - x
  1294(Sub64 (Const64 <t> [c]) (Add64 (Const64 <t> [d]) x)) => (Sub64 (Const64 <t> [c-d]) x)
  1295(Sub32 (Const32 <t> [c]) (Add32 (Const32 <t> [d]) x)) => (Sub32 (Const32 <t> [c-d]) x)
  1296(Sub16 (Const16 <t> [c]) (Add16 (Const16 <t> [d]) x)) => (Sub16 (Const16 <t> [c-d]) x)
  1297(Sub8  (Const8  <t> [c]) (Add8  (Const8  <t> [d]) x)) => (Sub8  (Const8  <t> [c-d]) x)
  1298
  1299// C & (D & x) -> (C & D) & x
  1300(And64 (Const64 <t> [c]) (And64 (Const64 <t> [d]) x)) => (And64 (Const64 <t> [c&d]) x)
  1301(And32 (Const32 <t> [c]) (And32 (Const32 <t> [d]) x)) => (And32 (Const32 <t> [c&d]) x)
  1302(And16 (Const16 <t> [c]) (And16 (Const16 <t> [d]) x)) => (And16 (Const16 <t> [c&d]) x)
  1303(And8  (Const8  <t> [c]) (And8  (Const8  <t> [d]) x)) => (And8  (Const8  <t> [c&d]) x)
  1304
  1305// C | (D | x) -> (C | D) | x
  1306(Or64 (Const64 <t> [c]) (Or64 (Const64 <t> [d]) x)) => (Or64 (Const64 <t> [c|d]) x)
  1307(Or32 (Const32 <t> [c]) (Or32 (Const32 <t> [d]) x)) => (Or32 (Const32 <t> [c|d]) x)
  1308(Or16 (Const16 <t> [c]) (Or16 (Const16 <t> [d]) x)) => (Or16 (Const16 <t> [c|d]) x)
  1309(Or8  (Const8  <t> [c]) (Or8  (Const8  <t> [d]) x)) => (Or8  (Const8  <t> [c|d]) x)
  1310
  1311// C ^ (D ^ x) -> (C ^ D) ^ x
  1312(Xor64 (Const64 <t> [c]) (Xor64 (Const64 <t> [d]) x)) => (Xor64 (Const64 <t> [c^d]) x)
  1313(Xor32 (Const32 <t> [c]) (Xor32 (Const32 <t> [d]) x)) => (Xor32 (Const32 <t> [c^d]) x)
  1314(Xor16 (Const16 <t> [c]) (Xor16 (Const16 <t> [d]) x)) => (Xor16 (Const16 <t> [c^d]) x)
  1315(Xor8  (Const8  <t> [c]) (Xor8  (Const8  <t> [d]) x)) => (Xor8  (Const8  <t> [c^d]) x)
  1316
  1317// C * (D * x) = (C * D) * x
  1318(Mul64 (Const64 <t> [c]) (Mul64 (Const64 <t> [d]) x)) => (Mul64 (Const64 <t> [c*d]) x)
  1319(Mul32 (Const32 <t> [c]) (Mul32 (Const32 <t> [d]) x)) => (Mul32 (Const32 <t> [c*d]) x)
  1320(Mul16 (Const16 <t> [c]) (Mul16 (Const16 <t> [d]) x)) => (Mul16 (Const16 <t> [c*d]) x)
  1321(Mul8  (Const8  <t> [c]) (Mul8  (Const8  <t> [d]) x)) => (Mul8  (Const8  <t> [c*d]) x)
  1322
  1323// floating point optimizations
  1324(Mul(32|64)F x (Const(32|64)F [1])) => x
  1325(Mul32F x (Const32F [-1])) => (Neg32F x)
  1326(Mul64F x (Const64F [-1])) => (Neg64F x)
  1327(Mul32F x (Const32F [2])) => (Add32F x x)
  1328(Mul64F x (Const64F [2])) => (Add64F x x)
  1329
  1330(Div32F x (Const32F <t> [c])) && reciprocalExact32(c) => (Mul32F x (Const32F <t> [1/c]))
  1331(Div64F x (Const64F <t> [c])) && reciprocalExact64(c) => (Mul64F x (Const64F <t> [1/c]))
  1332
  1333// rewrite single-precision sqrt expression "float32(math.Sqrt(float64(x)))"
  1334(Cvt64Fto32F sqrt0:(Sqrt (Cvt32Fto64F x))) && sqrt0.Uses==1 => (Sqrt32 x)
  1335
  1336(Sqrt (Const64F [c])) && !math.IsNaN(math.Sqrt(c)) => (Const64F [math.Sqrt(c)])
  1337
  1338// for rewriting constant folded math/bits ops
  1339(Select0 (MakeTuple x y)) => x
  1340(Select1 (MakeTuple x y)) => y
  1341
  1342// for rewriting results of some late-expanded rewrites (below)
  1343(SelectN [n] m:(MakeResult ___)) => m.Args[n]
  1344
  1345// TODO(matloob): Try out having non-zeroing mallocs for prointerless
  1346// memory, and leaving the zeroing here. Then the compiler can remove
  1347// the zeroing if the user has explicit writes to the whole object.
  1348
  1349// for late-expanded calls, recognize newobject and remove zeroing and nilchecks
  1350(Zero (SelectN [0] call:(StaticLECall ___)) mem:(SelectN [1] call))
  1351	&& isMalloc(call.Aux)
  1352	=> mem
  1353
  1354(Store (SelectN [0] call:(StaticLECall ___)) x mem:(SelectN [1] call))
  1355	&& isConstZero(x)
  1356	&& isMalloc(call.Aux)
  1357	=> mem
  1358
  1359(Store (OffPtr (SelectN [0] call:(StaticLECall ___))) x mem:(SelectN [1] call))
  1360	&& isConstZero(x)
  1361	&& isMalloc(call.Aux)
  1362	=> mem
  1363
  1364(NilCheck ptr:(SelectN [0] call:(StaticLECall ___)) _)
  1365	&& isMalloc(call.Aux)
  1366	&& warnRule(fe.Debug_checknil(), v, "removed nil check")
  1367	=> ptr
  1368
  1369(NilCheck ptr:(OffPtr (SelectN [0] call:(StaticLECall ___))) _)
  1370	&& isMalloc(call.Aux)
  1371	&& warnRule(fe.Debug_checknil(), v, "removed nil check")
  1372	=> ptr
  1373
  1374// Addresses of globals are always non-nil.
  1375(NilCheck          ptr:(Addr {_} (SB))    _) => ptr
  1376(NilCheck ptr:(Convert (Addr {_} (SB)) _) _) => ptr
  1377
  1378// Addresses of locals are always non-nil.
  1379(NilCheck ptr:(LocalAddr _ _) _)
  1380	&& warnRule(fe.Debug_checknil(), v, "removed nil check")
  1381	=> ptr
  1382
  1383// .dict args are always non-nil.
  1384(NilCheck ptr:(Arg {sym}) _) && isDictArgSym(sym) => ptr
  1385
  1386// Nil checks of nil checks are redundant.
  1387// See comment at the end of https://go-review.googlesource.com/c/go/+/537775.
  1388(NilCheck ptr:(NilCheck _ _) _ ) => ptr
  1389
  1390// for late-expanded calls, recognize memequal applied to a single constant byte
  1391// Support is limited by [1-8] byte sizes
  1392(StaticLECall {callAux} sptr (Addr {scon} (SB)) (Const64 [1]) mem)
  1393  && isSameCall(callAux, "runtime.memequal")
  1394  && symIsRO(scon)
  1395  => (MakeResult (Eq8 (Load <typ.Int8> sptr mem) (Const8 <typ.Int8> [int8(read8(scon,0))])) mem)
  1396
  1397(StaticLECall {callAux} (Addr {scon} (SB)) sptr (Const64 [1]) mem)
  1398  && isSameCall(callAux, "runtime.memequal")
  1399  && symIsRO(scon)
  1400  => (MakeResult (Eq8 (Load <typ.Int8> sptr mem) (Const8 <typ.Int8> [int8(read8(scon,0))])) mem)
  1401
  1402(StaticLECall {callAux} sptr (Addr {scon} (SB)) (Const64 [2]) mem)
  1403  && isSameCall(callAux, "runtime.memequal")
  1404  && symIsRO(scon)
  1405  && canLoadUnaligned(config)
  1406  => (MakeResult (Eq16 (Load <typ.Int16> sptr mem) (Const16 <typ.Int16> [int16(read16(scon,0,config.ctxt.Arch.ByteOrder))])) mem)
  1407
  1408(StaticLECall {callAux} (Addr {scon} (SB)) sptr (Const64 [2]) mem)
  1409  && isSameCall(callAux, "runtime.memequal")
  1410  && symIsRO(scon)
  1411  && canLoadUnaligned(config)
  1412  => (MakeResult (Eq16 (Load <typ.Int16> sptr mem) (Const16 <typ.Int16> [int16(read16(scon,0,config.ctxt.Arch.ByteOrder))])) mem)
  1413
  1414(StaticLECall {callAux} sptr (Addr {scon} (SB)) (Const64 [4]) mem)
  1415  && isSameCall(callAux, "runtime.memequal")
  1416  && symIsRO(scon)
  1417  && canLoadUnaligned(config)
  1418  => (MakeResult (Eq32 (Load <typ.Int32> sptr mem) (Const32 <typ.Int32> [int32(read32(scon,0,config.ctxt.Arch.ByteOrder))])) mem)
  1419
  1420(StaticLECall {callAux} (Addr {scon} (SB)) sptr (Const64 [4]) mem)
  1421  && isSameCall(callAux, "runtime.memequal")
  1422  && symIsRO(scon)
  1423  && canLoadUnaligned(config)
  1424  => (MakeResult (Eq32 (Load <typ.Int32> sptr mem) (Const32 <typ.Int32> [int32(read32(scon,0,config.ctxt.Arch.ByteOrder))])) mem)
  1425
  1426(StaticLECall {callAux} sptr (Addr {scon} (SB)) (Const64 [8]) mem)
  1427  && isSameCall(callAux, "runtime.memequal")
  1428  && symIsRO(scon)
  1429  && canLoadUnaligned(config) && config.PtrSize == 8
  1430  => (MakeResult (Eq64 (Load <typ.Int64> sptr mem) (Const64 <typ.Int64> [int64(read64(scon,0,config.ctxt.Arch.ByteOrder))])) mem)
  1431
  1432(StaticLECall {callAux} (Addr {scon} (SB)) sptr (Const64 [8]) mem)
  1433  && isSameCall(callAux, "runtime.memequal")
  1434  && symIsRO(scon)
  1435  && canLoadUnaligned(config) && config.PtrSize == 8
  1436  => (MakeResult (Eq64 (Load <typ.Int64> sptr mem) (Const64 <typ.Int64> [int64(read64(scon,0,config.ctxt.Arch.ByteOrder))])) mem)
  1437
  1438(StaticLECall {callAux} sptr (Addr {scon} (SB)) (Const64 [3]) mem)
  1439  && isSameCall(callAux, "runtime.memequal")
  1440  && symIsRO(scon)
  1441  && canLoadUnaligned(config) =>
  1442  (MakeResult
  1443    (Eq32
  1444      (Or32 <typ.Int32>
  1445        (ZeroExt16to32 <typ.Int32> (Load <typ.Int16> sptr mem))
  1446        (Lsh32x32 <typ.Int32>
  1447          (ZeroExt8to32 <typ.Int32> (Load <typ.Int8> (OffPtr <typ.BytePtr> [2] sptr) mem))
  1448          (Const32 <typ.Int32> [16])))
  1449      (Const32 <typ.Int32> [int32(uint32(read16(scon,0,config.ctxt.Arch.ByteOrder))|(uint32(read8(scon,2))<<16))]))
  1450    mem)
  1451
  1452(StaticLECall {callAux} (Addr {scon} (SB)) sptr (Const64 [3]) mem)
  1453  && isSameCall(callAux, "runtime.memequal")
  1454  && symIsRO(scon)
  1455  && canLoadUnaligned(config) =>
  1456  (MakeResult
  1457    (Eq32
  1458      (Or32 <typ.Int32>
  1459        (ZeroExt16to32 <typ.Int32> (Load <typ.Int16> sptr mem))
  1460        (Lsh32x32 <typ.Int32>
  1461          (ZeroExt8to32 <typ.Int32> (Load <typ.Int8> (OffPtr <typ.BytePtr> [2] sptr) mem))
  1462          (Const32 <typ.Int32> [16])))
  1463      (Const32 <typ.Int32> [int32(uint32(read16(scon,0,config.ctxt.Arch.ByteOrder))|(uint32(read8(scon,2))<<16))]))
  1464    mem)
  1465
  1466(StaticLECall {callAux} sptr (Addr {scon} (SB)) (Const64 [5]) mem)
  1467  && isSameCall(callAux, "runtime.memequal")
  1468  && symIsRO(scon)
  1469  && canLoadUnaligned(config) && config.PtrSize == 8 =>
  1470  (MakeResult
  1471    (Eq64
  1472      (Or64 <typ.Int64>
  1473        (ZeroExt32to64 <typ.Int64> (Load <typ.Int32> sptr mem))
  1474        (Lsh64x64 <typ.Int64>
  1475          (ZeroExt8to64 <typ.Int64> (Load <typ.Int8> (OffPtr <typ.BytePtr> [4] sptr) mem))
  1476          (Const64 <typ.Int64> [32])))
  1477      (Const64 <typ.Int64> [int64(uint64(read32(scon,0,config.ctxt.Arch.ByteOrder))|(uint64(read8(scon,4))<<32))]))
  1478    mem)
  1479
  1480(StaticLECall {callAux} (Addr {scon} (SB)) sptr (Const64 [5]) mem)
  1481  && isSameCall(callAux, "runtime.memequal")
  1482  && symIsRO(scon)
  1483  && canLoadUnaligned(config) && config.PtrSize == 8 =>
  1484  (MakeResult
  1485    (Eq64
  1486      (Or64 <typ.Int64>
  1487        (ZeroExt32to64 <typ.Int64> (Load <typ.Int32> sptr mem))
  1488        (Lsh64x64 <typ.Int64>
  1489          (ZeroExt8to64 <typ.Int64> (Load <typ.Int8> (OffPtr <typ.BytePtr> [4] sptr) mem))
  1490          (Const64 <typ.Int64> [32])))
  1491      (Const64 <typ.Int64> [int64(uint64(read32(scon,0,config.ctxt.Arch.ByteOrder))|(uint64(read8(scon,4))<<32))]))
  1492    mem)
  1493
  1494(StaticLECall {callAux} sptr (Addr {scon} (SB)) (Const64 [6]) mem)
  1495  && isSameCall(callAux, "runtime.memequal")
  1496  && symIsRO(scon)
  1497  && canLoadUnaligned(config) && config.PtrSize == 8 =>
  1498  (MakeResult
  1499    (Eq64
  1500      (Or64 <typ.Int64>
  1501        (ZeroExt32to64 <typ.Int64> (Load <typ.Int32> sptr mem))
  1502        (Lsh64x64 <typ.Int64>
  1503          (ZeroExt16to64 <typ.Int64> (Load <typ.Int16> (OffPtr <typ.BytePtr> [4] sptr) mem))
  1504          (Const64 <typ.Int64> [32])))
  1505      (Const64 <typ.Int64> [int64(uint64(read32(scon,0,config.ctxt.Arch.ByteOrder))|(uint64(read16(scon,4,config.ctxt.Arch.ByteOrder))<<32))]))
  1506    mem)
  1507
  1508(StaticLECall {callAux} (Addr {scon} (SB)) sptr (Const64 [6]) mem)
  1509  && isSameCall(callAux, "runtime.memequal")
  1510  && symIsRO(scon)
  1511  && canLoadUnaligned(config) && config.PtrSize == 8 =>
  1512  (MakeResult
  1513    (Eq64
  1514      (Or64 <typ.Int64>
  1515        (ZeroExt32to64 <typ.Int64> (Load <typ.Int32> sptr mem))
  1516        (Lsh64x64 <typ.Int64>
  1517          (ZeroExt16to64 <typ.Int64> (Load <typ.Int16> (OffPtr <typ.BytePtr> [4] sptr) mem))
  1518          (Const64 <typ.Int64> [32])))
  1519      (Const64 <typ.Int64> [int64(uint64(read32(scon,0,config.ctxt.Arch.ByteOrder))|(uint64(read16(scon,4,config.ctxt.Arch.ByteOrder))<<32))]))
  1520    mem)
  1521
  1522(StaticLECall {callAux} sptr (Addr {scon} (SB)) (Const64 [7]) mem)
  1523  && isSameCall(callAux, "runtime.memequal")
  1524  && symIsRO(scon)
  1525  && canLoadUnaligned(config) && config.PtrSize == 8 =>
  1526  (MakeResult
  1527    (Eq64
  1528      (Or64 <typ.Int64>
  1529        (ZeroExt32to64 <typ.Int64> (Load <typ.Int32> sptr mem))
  1530        (Lsh64x64 <typ.Int64>
  1531          (ZeroExt32to64 <typ.Int64> (Load <typ.Int32> (OffPtr <typ.BytePtr> [3] sptr) mem))
  1532          (Const64 <typ.Int64> [32])))
  1533      (Const64 <typ.Int64> [int64(uint64(read32(scon,0,config.ctxt.Arch.ByteOrder))|(uint64(read32(scon,3,config.ctxt.Arch.ByteOrder))<<32))]))
  1534    mem)
  1535
  1536(StaticLECall {callAux} (Addr {scon} (SB)) sptr (Const64 [7]) mem)
  1537  && isSameCall(callAux, "runtime.memequal")
  1538  && symIsRO(scon)
  1539  && canLoadUnaligned(config) && config.PtrSize == 8 =>
  1540  (MakeResult
  1541    (Eq64
  1542      (Or64 <typ.Int64>
  1543        (ZeroExt32to64 <typ.Int64> (Load <typ.Int32> sptr mem))
  1544        (Lsh64x64 <typ.Int64>
  1545          (ZeroExt32to64 <typ.Int64> (Load <typ.Int32> (OffPtr <typ.BytePtr> [3] sptr) mem))
  1546          (Const64 <typ.Int64> [32])))
  1547      (Const64 <typ.Int64> [int64(uint64(read32(scon,0,config.ctxt.Arch.ByteOrder))|(uint64(read32(scon,3,config.ctxt.Arch.ByteOrder))<<32))]))
  1548    mem)
  1549
  1550(StaticLECall {callAux} _ _ (Const64 [0]) mem)
  1551  && isSameCall(callAux, "runtime.memequal")
  1552  => (MakeResult (ConstBool <typ.Bool> [true]) mem)
  1553
  1554(Static(Call|LECall) {callAux} p q _ mem)
  1555  && isSameCall(callAux, "runtime.memequal")
  1556  && isSamePtr(p, q)
  1557  => (MakeResult (ConstBool <typ.Bool> [true]) mem)
  1558
  1559(MemEq sptr tptr (Const64 [1]) mem)
  1560  => (Eq8 (Load <typ.Int8> sptr mem) (Load <typ.Int8> tptr mem))
  1561
  1562(Load <typ.Int8> sptr:(Addr {scon} (SB)) mem)
  1563  && symIsRO(scon)
  1564  => (Const8 <typ.Int8> [int8(read8(scon,0))])
  1565
  1566(MemEq sptr tptr (Const64 [2]) mem)
  1567  && canLoadUnaligned(config)
  1568  => (Eq16 (Load <typ.Int16> sptr mem) (Load <typ.Int16> tptr mem))
  1569
  1570(Load <typ.Int16> sptr:(Addr {scon} (SB)) mem)
  1571  && symIsRO(scon)
  1572  => (Const16 <typ.Int16> [int16(read16(scon,0,config.ctxt.Arch.ByteOrder))])
  1573
  1574(MemEq sptr tptr (Const64 [4]) mem)
  1575  && canLoadUnaligned(config)
  1576  => (Eq32 (Load <typ.Int32> sptr mem) (Load <typ.Int32> tptr mem))
  1577
  1578(Load <typ.Int32> sptr:(Addr {scon} (SB)) mem)
  1579  && symIsRO(scon)
  1580  => (Const32 <typ.Int32> [int32(read32(scon,0,config.ctxt.Arch.ByteOrder))])
  1581
  1582(MemEq sptr tptr (Const64 [8]) mem)
  1583  && canLoadUnaligned(config) && config.PtrSize == 8
  1584  => (Eq64 (Load <typ.Int64> sptr mem) (Load <typ.Int64> tptr mem))
  1585
  1586(Load <typ.Int64> sptr:(Addr {scon} (SB)) mem)
  1587  && symIsRO(scon)
  1588  => (Const64 <typ.Int64> [int64(read64(scon,0,config.ctxt.Arch.ByteOrder))])
  1589
  1590(MemEq _ _ (Const64 [0]) _) => (ConstBool <typ.Bool> [true])
  1591
  1592(MemEq p q _ _) && isSamePtr(p, q) => (ConstBool <typ.Bool> [true])
  1593
  1594// 3-32 bytes memeq (enabled only with support of unaligned loads and 8-byte max word size)
  1595
  1596(MemEq p q (Const64 [c]) mem)
  1597  && (c == 3 || c == 5 || c == 9 || c == 17)
  1598  && canLoadUnaligned(config)
  1599  && config.RegSize == 8
  1600  => (AndB (MemEq p q (Const64 <typ.Int64> [c-1]) mem)
  1601           (Eq8 (Load <typ.Int8> (OffPtr <p.Type> p [c-1]) mem) (Load <typ.Int8> (OffPtr <q.Type> q [c-1]) mem)))
  1602
  1603(MemEq p q (Const64 [c]) mem)
  1604  && (c == 6 || c == 10 || c == 18)
  1605  && canLoadUnaligned(config)
  1606  && config.RegSize == 8
  1607  => (AndB (MemEq p q (Const64 <typ.Int64> [c-2]) mem)
  1608           (Eq16 (Load <typ.Int16> (OffPtr <p.Type> p [c-2]) mem) (Load <typ.Int16> (OffPtr <q.Type> q [c-2]) mem)))
  1609
  1610(MemEq p q (Const64 [c]) mem)
  1611  && (c == 7 || c == 11 || c == 19 || c == 20)
  1612  && canLoadUnaligned(config)
  1613  && config.RegSize == 8
  1614  => (AndB (MemEq p q (Const64 <typ.Int64> [min(c-3,16)]) mem)
  1615           (Eq32 (Load <typ.Int32> (OffPtr <p.Type> p [c-4]) mem) (Load <typ.Int32> (OffPtr <q.Type> q [c-4]) mem)))
  1616
  1617(MemEq p q (Const64 [c]) mem)
  1618  && ((c >= 12 && c <= 16) || (c >= 21 && c <= 24))
  1619  && canLoadUnaligned(config)
  1620  && config.RegSize == 8
  1621  => (AndB (MemEq p q (Const64 <typ.Int64> [8 + int64(bool2int(c>16))*8]) mem)
  1622           (Eq64 (Load <typ.Int64> (OffPtr <p.Type> p [c-8]) mem) (Load <typ.Int64> (OffPtr <q.Type> q [c-8]) mem)))
  1623
  1624(MemEq p q (Const64 [c]) mem)
  1625  && c >= 25 && c <= 32
  1626  && canLoadUnaligned(config)
  1627  && config.RegSize == 8
  1628  => (AndB (MemEq p q (Const64 <typ.Int64> [16]) mem)
  1629           (MemEq (OffPtr <p.Type> p [16]) (OffPtr <q.Type> q [16]) (Const64 <typ.Int64> [c-16]) mem))
  1630
  1631// Turn known-size calls to memclrNoHeapPointers into a Zero.
  1632// Note that we are using types.Types[types.TUINT8] instead of sptr.Type.Elem() - see issue 55122 and CL 431496 for more details.
  1633(SelectN [0] call:(StaticCall {sym} sptr (Const(64|32) [c]) mem))
  1634  && isInlinableMemclr(config, int64(c))
  1635  && isSameCall(sym, "runtime.memclrNoHeapPointers")
  1636  && call.Uses == 1
  1637  && clobber(call)
  1638  => (Zero {types.Types[types.TUINT8]} [int64(c)] sptr mem)
  1639
  1640// Recognise make([]T, 0) and replace it with a pointer to the zerobase
  1641(StaticLECall {callAux} _ (Const(64|32) [0]) (Const(64|32) [0]) mem)
  1642	&& isSameCall(callAux, "runtime.makeslice")
  1643	=> (MakeResult (Addr <v.Type.FieldType(0)> {ir.Syms.Zerobase} (SB)) mem)
  1644
  1645// Evaluate constant address comparisons.
  1646(EqPtr  x x) => (ConstBool [true])
  1647(NeqPtr x x) => (ConstBool [false])
  1648(EqPtr  (Addr {x} _) (Addr {y} _)) => (ConstBool [x == y])
  1649(EqPtr  (Addr {x} _) (OffPtr [o] (Addr {y} _))) => (ConstBool [x == y && o == 0])
  1650(EqPtr  (OffPtr [o1] (Addr {x} _)) (OffPtr [o2] (Addr {y} _))) => (ConstBool [x == y && o1 == o2])
  1651(NeqPtr (Addr {x} _) (Addr {y} _)) => (ConstBool [x != y])
  1652(NeqPtr (Addr {x} _) (OffPtr [o] (Addr {y} _))) => (ConstBool [x != y || o != 0])
  1653(NeqPtr (OffPtr [o1] (Addr {x} _)) (OffPtr [o2] (Addr {y} _))) => (ConstBool [x != y || o1 != o2])
  1654(EqPtr  (LocalAddr {x} _ _) (LocalAddr {y} _ _)) => (ConstBool [x == y])
  1655(EqPtr  (LocalAddr {x} _ _) (OffPtr [o] (LocalAddr {y} _ _))) => (ConstBool [x == y && o == 0])
  1656(EqPtr  (OffPtr [o1] (LocalAddr {x} _ _)) (OffPtr [o2] (LocalAddr {y} _ _))) => (ConstBool [x == y && o1 == o2])
  1657(NeqPtr (LocalAddr {x} _ _) (LocalAddr {y} _ _)) => (ConstBool [x != y])
  1658(NeqPtr (LocalAddr {x} _ _) (OffPtr [o] (LocalAddr {y} _ _))) => (ConstBool [x != y || o != 0])
  1659(NeqPtr (OffPtr [o1] (LocalAddr {x} _ _)) (OffPtr [o2] (LocalAddr {y} _ _))) => (ConstBool [x != y || o1 != o2])
  1660(EqPtr  (OffPtr [o1] p1) p2) && isSamePtr(p1, p2) => (ConstBool [o1 == 0])
  1661(NeqPtr (OffPtr [o1] p1) p2) && isSamePtr(p1, p2) => (ConstBool [o1 != 0])
  1662(EqPtr  (OffPtr [o1] p1) (OffPtr [o2] p2)) && isSamePtr(p1, p2) => (ConstBool [o1 == o2])
  1663(NeqPtr (OffPtr [o1] p1) (OffPtr [o2] p2)) && isSamePtr(p1, p2) => (ConstBool [o1 != o2])
  1664(EqPtr  (Const(32|64) [c]) (Const(32|64) [d])) => (ConstBool [c == d])
  1665(NeqPtr (Const(32|64) [c]) (Const(32|64) [d])) => (ConstBool [c != d])
  1666(EqPtr  (Convert (Addr {x} _) _) (Addr {y} _)) => (ConstBool [x==y])
  1667(NeqPtr (Convert (Addr {x} _) _) (Addr {y} _)) => (ConstBool [x!=y])
  1668
  1669(EqPtr  (LocalAddr _ _) (Addr _)) => (ConstBool [false])
  1670(EqPtr  (OffPtr (LocalAddr _ _)) (Addr _)) => (ConstBool [false])
  1671(EqPtr  (LocalAddr _ _) (OffPtr (Addr _))) => (ConstBool [false])
  1672(EqPtr  (OffPtr (LocalAddr _ _)) (OffPtr (Addr _))) => (ConstBool [false])
  1673(NeqPtr (LocalAddr _ _) (Addr _)) => (ConstBool [true])
  1674(NeqPtr (OffPtr (LocalAddr _ _)) (Addr _)) => (ConstBool [true])
  1675(NeqPtr (LocalAddr _ _) (OffPtr (Addr _))) => (ConstBool [true])
  1676(NeqPtr (OffPtr (LocalAddr _ _)) (OffPtr (Addr _))) => (ConstBool [true])
  1677
  1678// Simplify address comparisons.
  1679(EqPtr  (AddPtr p1 o1) p2) && isSamePtr(p1, p2) => (Not (IsNonNil o1))
  1680(NeqPtr (AddPtr p1 o1) p2) && isSamePtr(p1, p2) => (IsNonNil o1)
  1681(EqPtr  (Const(32|64) [0]) p) => (Not (IsNonNil p))
  1682(NeqPtr (Const(32|64) [0]) p) => (IsNonNil p)
  1683(EqPtr  (ConstNil) p) => (Not (IsNonNil p))
  1684(NeqPtr (ConstNil) p) => (IsNonNil p)
  1685
  1686// Evaluate constant user nil checks.
  1687(IsNonNil (ConstNil)) => (ConstBool [false])
  1688(IsNonNil (Const(32|64) [c])) => (ConstBool [c != 0])
  1689(IsNonNil          (Addr _)   ) => (ConstBool [true])
  1690(IsNonNil (Convert (Addr _) _)) => (ConstBool [true])
  1691(IsNonNil (LocalAddr _ _)) => (ConstBool [true])
  1692
  1693// Inline small or disjoint runtime.memmove calls with constant length.
  1694// See the comment in op Move in genericOps.go for discussion of the type.
  1695//
  1696// Note that we've lost any knowledge of the type and alignment requirements
  1697// of the source and destination. We only know the size, and that the type
  1698// contains no pointers.
  1699// The type of the move is not necessarily v.Args[0].Type().Elem()!
  1700// See issue 55122 for details.
  1701//
  1702// Because expand calls runs after prove, constants useful to this pattern may not appear.
  1703// Both versions need to exist; the memory and register variants.
  1704//
  1705// Match post-expansion calls, memory version.
  1706(SelectN [0] call:(StaticCall {sym} s1:(Store _ (Const(64|32) [sz]) s2:(Store  _ src s3:(Store {t} _ dst mem)))))
  1707	&& sz >= 0
  1708	&& isSameCall(sym, "runtime.memmove")
  1709	&& s1.Uses == 1 && s2.Uses == 1 && s3.Uses == 1
  1710	&& isInlinableMemmove(dst, src, int64(sz), config)
  1711	&& clobber(s1, s2, s3, call)
  1712	=> (Move {types.Types[types.TUINT8]} [int64(sz)] dst src mem)
  1713
  1714// Match post-expansion calls, register version.
  1715(SelectN [0] call:(StaticCall {sym} dst src (Const(64|32) [sz]) mem))
  1716	&& sz >= 0
  1717	&& call.Uses == 1 // this will exclude all calls with results
  1718	&& isSameCall(sym, "runtime.memmove")
  1719	&& isInlinableMemmove(dst, src, int64(sz), config)
  1720	&& clobber(call)
  1721	=> (Move {types.Types[types.TUINT8]} [int64(sz)] dst src mem)
  1722
  1723// Match pre-expansion calls.
  1724(SelectN [0] call:(StaticLECall {sym} dst src (Const(64|32) [sz]) mem))
  1725	&& sz >= 0
  1726	&& call.Uses == 1 // this will exclude all calls with results
  1727	&& isSameCall(sym, "runtime.memmove")
  1728	&& isInlinableMemmove(dst, src, int64(sz), config)
  1729	&& clobber(call)
  1730	=> (Move {types.Types[types.TUINT8]} [int64(sz)] dst src mem)
  1731
  1732// De-virtualize late-expanded interface calls into late-expanded static calls.
  1733(InterLECall [argsize] {auxCall} (Addr {fn} (SB)) ___) => devirtLECall(v, fn.(*obj.LSym))
  1734
  1735// Move and Zero optimizations.
  1736// Move source and destination may overlap.
  1737
  1738// Convert Moves into Zeros when the source is known to be zeros.
  1739(Move {t} [n] dst1 src mem:(Zero {t} [n] dst2 _)) && isSamePtr(src, dst2)
  1740	=> (Zero {t} [n] dst1 mem)
  1741(Move {t} [n] dst1 src mem:(VarDef (Zero {t} [n] dst0 _))) && isSamePtr(src, dst0)
  1742	=> (Zero {t} [n] dst1 mem)
  1743(Move {t} [n] dst (Addr {sym} (SB)) mem) && symIsROZero(sym) => (Zero {t} [n] dst mem)
  1744
  1745// Don't Store to variables that are about to be overwritten by Move/Zero.
  1746(Zero {t1} [n] p1 store:(Store {t2} (OffPtr [o2] p2) _ mem))
  1747	&& isSamePtr(p1, p2) && store.Uses == 1
  1748	&& n >= o2 + t2.Size()
  1749	&& clobber(store)
  1750	=> (Zero {t1} [n] p1 mem)
  1751(Move {t1} [n] dst1 src1 store:(Store {t2} op:(OffPtr [o2] dst2) _ mem))
  1752	&& isSamePtr(dst1, dst2) && store.Uses == 1
  1753	&& n >= o2 + t2.Size()
  1754	&& disjoint(src1, n, op, t2.Size())
  1755	&& clobber(store)
  1756	=> (Move {t1} [n] dst1 src1 mem)
  1757
  1758// Don't Move to variables that are immediately completely overwritten.
  1759(Zero {t} [n] dst1 move:(Move {t} [n] dst2 _ mem))
  1760	&& move.Uses == 1
  1761	&& isSamePtr(dst1, dst2)
  1762	&& clobber(move)
  1763	=> (Zero {t} [n] dst1 mem)
  1764(Move {t} [n] dst1 src1 move:(Move {t} [n] dst2 _ mem))
  1765	&& move.Uses == 1
  1766	&& isSamePtr(dst1, dst2) && disjoint(src1, n, dst2, n)
  1767	&& clobber(move)
  1768	=> (Move {t} [n] dst1 src1 mem)
  1769(Zero {t} [n] dst1 vardef:(VarDef {x} move:(Move {t} [n] dst2 _ mem)))
  1770	&& move.Uses == 1 && vardef.Uses == 1
  1771	&& isSamePtr(dst1, dst2)
  1772	&& clobber(move, vardef)
  1773	=> (Zero {t} [n] dst1 (VarDef {x} mem))
  1774(Move {t} [n] dst1 src1 vardef:(VarDef {x} move:(Move {t} [n] dst2 _ mem)))
  1775	&& move.Uses == 1 && vardef.Uses == 1
  1776	&& isSamePtr(dst1, dst2) && disjoint(src1, n, dst2, n)
  1777	&& clobber(move, vardef)
  1778	=> (Move {t} [n] dst1 src1 (VarDef {x} mem))
  1779(Store {t1} op1:(OffPtr [o1] p1) d1
  1780	m2:(Store {t2} op2:(OffPtr [0] p2) d2
  1781		m3:(Move [n] p3 _ mem)))
  1782	&& m2.Uses == 1 && m3.Uses == 1
  1783	&& o1 == t2.Size()
  1784	&& n == t2.Size() + t1.Size()
  1785	&& isSamePtr(p1, p2) && isSamePtr(p2, p3)
  1786	&& clobber(m2, m3)
  1787	=> (Store {t1} op1 d1 (Store {t2} op2 d2 mem))
  1788(Store {t1} op1:(OffPtr [o1] p1) d1
  1789	m2:(Store {t2} op2:(OffPtr [o2] p2) d2
  1790		m3:(Store {t3} op3:(OffPtr [0] p3) d3
  1791			m4:(Move [n] p4 _ mem))))
  1792	&& m2.Uses == 1 && m3.Uses == 1 && m4.Uses == 1
  1793	&& o2 == t3.Size()
  1794	&& o1-o2 == t2.Size()
  1795	&& n == t3.Size() + t2.Size() + t1.Size()
  1796	&& isSamePtr(p1, p2) && isSamePtr(p2, p3) && isSamePtr(p3, p4)
  1797	&& clobber(m2, m3, m4)
  1798	=> (Store {t1} op1 d1 (Store {t2} op2 d2 (Store {t3} op3 d3 mem)))
  1799(Store {t1} op1:(OffPtr [o1] p1) d1
  1800	m2:(Store {t2} op2:(OffPtr [o2] p2) d2
  1801		m3:(Store {t3} op3:(OffPtr [o3] p3) d3
  1802			m4:(Store {t4} op4:(OffPtr [0] p4) d4
  1803				m5:(Move [n] p5 _ mem)))))
  1804	&& m2.Uses == 1 && m3.Uses == 1 && m4.Uses == 1 && m5.Uses == 1
  1805	&& o3 == t4.Size()
  1806	&& o2-o3 == t3.Size()
  1807	&& o1-o2 == t2.Size()
  1808	&& n == t4.Size() + t3.Size() + t2.Size() + t1.Size()
  1809	&& isSamePtr(p1, p2) && isSamePtr(p2, p3) && isSamePtr(p3, p4) && isSamePtr(p4, p5)
  1810	&& clobber(m2, m3, m4, m5)
  1811	=> (Store {t1} op1 d1 (Store {t2} op2 d2 (Store {t3} op3 d3 (Store {t4} op4 d4 mem))))
  1812
  1813// Don't Zero variables that are immediately completely overwritten
  1814// before being accessed.
  1815(Move {t} [n] dst1 src1 zero:(Zero {t} [n] dst2 mem))
  1816	&& zero.Uses == 1
  1817	&& isSamePtr(dst1, dst2) && disjoint(src1, n, dst2, n)
  1818	&& clobber(zero)
  1819	=> (Move {t} [n] dst1 src1 mem)
  1820(Move {t} [n] dst1 src1 vardef:(VarDef {x} zero:(Zero {t} [n] dst2 mem)))
  1821	&& zero.Uses == 1 && vardef.Uses == 1
  1822	&& isSamePtr(dst1, dst2) && disjoint(src1, n, dst2, n)
  1823	&& clobber(zero, vardef)
  1824	=> (Move {t} [n] dst1 src1 (VarDef {x} mem))
  1825(Store {t1} op1:(OffPtr [o1] p1) d1
  1826	m2:(Store {t2} op2:(OffPtr [0] p2) d2
  1827		m3:(Zero [n] p3 mem)))
  1828	&& m2.Uses == 1 && m3.Uses == 1
  1829	&& o1 == t2.Size()
  1830	&& n == t2.Size() + t1.Size()
  1831	&& isSamePtr(p1, p2) && isSamePtr(p2, p3)
  1832	&& clobber(m2, m3)
  1833	=> (Store {t1} op1 d1 (Store {t2} op2 d2 mem))
  1834(Store {t1} op1:(OffPtr [o1] p1) d1
  1835	m2:(Store {t2} op2:(OffPtr [o2] p2) d2
  1836		m3:(Store {t3} op3:(OffPtr [0] p3) d3
  1837			m4:(Zero [n] p4 mem))))
  1838	&& m2.Uses == 1 && m3.Uses == 1 && m4.Uses == 1
  1839	&& o2 == t3.Size()
  1840	&& o1-o2 == t2.Size()
  1841	&& n == t3.Size() + t2.Size() + t1.Size()
  1842	&& isSamePtr(p1, p2) && isSamePtr(p2, p3) && isSamePtr(p3, p4)
  1843	&& clobber(m2, m3, m4)
  1844	=> (Store {t1} op1 d1 (Store {t2} op2 d2 (Store {t3} op3 d3 mem)))
  1845(Store {t1} op1:(OffPtr [o1] p1) d1
  1846	m2:(Store {t2} op2:(OffPtr [o2] p2) d2
  1847		m3:(Store {t3} op3:(OffPtr [o3] p3) d3
  1848			m4:(Store {t4} op4:(OffPtr [0] p4) d4
  1849				m5:(Zero [n] p5 mem)))))
  1850	&& m2.Uses == 1 && m3.Uses == 1 && m4.Uses == 1 && m5.Uses == 1
  1851	&& o3 == t4.Size()
  1852	&& o2-o3 == t3.Size()
  1853	&& o1-o2 == t2.Size()
  1854	&& n == t4.Size() + t3.Size() + t2.Size() + t1.Size()
  1855	&& isSamePtr(p1, p2) && isSamePtr(p2, p3) && isSamePtr(p3, p4) && isSamePtr(p4, p5)
  1856	&& clobber(m2, m3, m4, m5)
  1857	=> (Store {t1} op1 d1 (Store {t2} op2 d2 (Store {t3} op3 d3 (Store {t4} op4 d4 mem))))
  1858
  1859// Don't Move from memory if the values are likely to already be
  1860// in registers.
  1861(Move {t1} [n] dst p1
  1862	mem:(Store {t2} op2:(OffPtr <tt2> [o2] p2) d1
  1863		(Store {t3} op3:(OffPtr <tt3> [0] p3) d2 _)))
  1864	&& isSamePtr(p1, p2) && isSamePtr(p2, p3)
  1865	&& t2.Alignment() <= t1.Alignment()
  1866	&& t3.Alignment() <= t1.Alignment()
  1867	&& registerizable(b, t2)
  1868	&& registerizable(b, t3)
  1869	&& o2 == t3.Size()
  1870	&& n == t2.Size() + t3.Size()
  1871	=> (Store {t2} (OffPtr <tt2> [o2] dst) d1
  1872		(Store {t3} (OffPtr <tt3> [0] dst) d2 mem))
  1873(Move {t1} [n] dst p1
  1874	mem:(Store {t2} op2:(OffPtr <tt2> [o2] p2) d1
  1875		(Store {t3} op3:(OffPtr <tt3> [o3] p3) d2
  1876			(Store {t4} op4:(OffPtr <tt4> [0] p4) d3 _))))
  1877	&& isSamePtr(p1, p2) && isSamePtr(p2, p3) && isSamePtr(p3, p4)
  1878	&& t2.Alignment() <= t1.Alignment()
  1879	&& t3.Alignment() <= t1.Alignment()
  1880	&& t4.Alignment() <= t1.Alignment()
  1881	&& registerizable(b, t2)
  1882	&& registerizable(b, t3)
  1883	&& registerizable(b, t4)
  1884	&& o3 == t4.Size()
  1885	&& o2-o3 == t3.Size()
  1886	&& n == t2.Size() + t3.Size() + t4.Size()
  1887	=> (Store {t2} (OffPtr <tt2> [o2] dst) d1
  1888		(Store {t3} (OffPtr <tt3> [o3] dst) d2
  1889			(Store {t4} (OffPtr <tt4> [0] dst) d3 mem)))
  1890(Move {t1} [n] dst p1
  1891	mem:(Store {t2} op2:(OffPtr <tt2> [o2] p2) d1
  1892		(Store {t3} op3:(OffPtr <tt3> [o3] p3) d2
  1893			(Store {t4} op4:(OffPtr <tt4> [o4] p4) d3
  1894				(Store {t5} op5:(OffPtr <tt5> [0] p5) d4 _)))))
  1895	&& isSamePtr(p1, p2) && isSamePtr(p2, p3) && isSamePtr(p3, p4) && isSamePtr(p4, p5)
  1896	&& t2.Alignment() <= t1.Alignment()
  1897	&& t3.Alignment() <= t1.Alignment()
  1898	&& t4.Alignment() <= t1.Alignment()
  1899	&& t5.Alignment() <= t1.Alignment()
  1900	&& registerizable(b, t2)
  1901	&& registerizable(b, t3)
  1902	&& registerizable(b, t4)
  1903	&& registerizable(b, t5)
  1904	&& o4 == t5.Size()
  1905	&& o3-o4 == t4.Size()
  1906	&& o2-o3 == t3.Size()
  1907	&& n == t2.Size() + t3.Size() + t4.Size() + t5.Size()
  1908	=> (Store {t2} (OffPtr <tt2> [o2] dst) d1
  1909		(Store {t3} (OffPtr <tt3> [o3] dst) d2
  1910			(Store {t4} (OffPtr <tt4> [o4] dst) d3
  1911				(Store {t5} (OffPtr <tt5> [0] dst) d4 mem))))
  1912
  1913// Same thing but with VarDef in the middle.
  1914(Move {t1} [n] dst p1
  1915	mem:(VarDef
  1916		(Store {t2} op2:(OffPtr <tt2> [o2] p2) d1
  1917			(Store {t3} op3:(OffPtr <tt3> [0] p3) d2 _))))
  1918	&& isSamePtr(p1, p2) && isSamePtr(p2, p3)
  1919	&& t2.Alignment() <= t1.Alignment()
  1920	&& t3.Alignment() <= t1.Alignment()
  1921	&& registerizable(b, t2)
  1922	&& registerizable(b, t3)
  1923	&& o2 == t3.Size()
  1924	&& n == t2.Size() + t3.Size()
  1925	=> (Store {t2} (OffPtr <tt2> [o2] dst) d1
  1926		(Store {t3} (OffPtr <tt3> [0] dst) d2 mem))
  1927(Move {t1} [n] dst p1
  1928	mem:(VarDef
  1929		(Store {t2} op2:(OffPtr <tt2> [o2] p2) d1
  1930			(Store {t3} op3:(OffPtr <tt3> [o3] p3) d2
  1931				(Store {t4} op4:(OffPtr <tt4> [0] p4) d3 _)))))
  1932	&& isSamePtr(p1, p2) && isSamePtr(p2, p3) && isSamePtr(p3, p4)
  1933	&& t2.Alignment() <= t1.Alignment()
  1934	&& t3.Alignment() <= t1.Alignment()
  1935	&& t4.Alignment() <= t1.Alignment()
  1936	&& registerizable(b, t2)
  1937	&& registerizable(b, t3)
  1938	&& registerizable(b, t4)
  1939	&& o3 == t4.Size()
  1940	&& o2-o3 == t3.Size()
  1941	&& n == t2.Size() + t3.Size() + t4.Size()
  1942	=> (Store {t2} (OffPtr <tt2> [o2] dst) d1
  1943		(Store {t3} (OffPtr <tt3> [o3] dst) d2
  1944			(Store {t4} (OffPtr <tt4> [0] dst) d3 mem)))
  1945(Move {t1} [n] dst p1
  1946	mem:(VarDef
  1947		(Store {t2} op2:(OffPtr <tt2> [o2] p2) d1
  1948			(Store {t3} op3:(OffPtr <tt3> [o3] p3) d2
  1949				(Store {t4} op4:(OffPtr <tt4> [o4] p4) d3
  1950					(Store {t5} op5:(OffPtr <tt5> [0] p5) d4 _))))))
  1951	&& isSamePtr(p1, p2) && isSamePtr(p2, p3) && isSamePtr(p3, p4) && isSamePtr(p4, p5)
  1952	&& t2.Alignment() <= t1.Alignment()
  1953	&& t3.Alignment() <= t1.Alignment()
  1954	&& t4.Alignment() <= t1.Alignment()
  1955	&& t5.Alignment() <= t1.Alignment()
  1956	&& registerizable(b, t2)
  1957	&& registerizable(b, t3)
  1958	&& registerizable(b, t4)
  1959	&& registerizable(b, t5)
  1960	&& o4 == t5.Size()
  1961	&& o3-o4 == t4.Size()
  1962	&& o2-o3 == t3.Size()
  1963	&& n == t2.Size() + t3.Size() + t4.Size() + t5.Size()
  1964	=> (Store {t2} (OffPtr <tt2> [o2] dst) d1
  1965		(Store {t3} (OffPtr <tt3> [o3] dst) d2
  1966			(Store {t4} (OffPtr <tt4> [o4] dst) d3
  1967				(Store {t5} (OffPtr <tt5> [0] dst) d4 mem))))
  1968
  1969// Prefer to Zero and Store than to Move.
  1970(Move {t1} [n] dst p1
  1971	mem:(Store {t2} op2:(OffPtr <tt2> [o2] p2) d1
  1972		(Zero {t3} [n] p3 _)))
  1973	&& isSamePtr(p1, p2) && isSamePtr(p2, p3)
  1974	&& t2.Alignment() <= t1.Alignment()
  1975	&& t3.Alignment() <= t1.Alignment()
  1976	&& registerizable(b, t2)
  1977	&& n >= o2 + t2.Size()
  1978	=> (Store {t2} (OffPtr <tt2> [o2] dst) d1
  1979		(Zero {t1} [n] dst mem))
  1980(Move {t1} [n] dst p1
  1981	mem:(Store {t2} (OffPtr <tt2> [o2] p2) d1
  1982		(Store {t3} (OffPtr <tt3> [o3] p3) d2
  1983			(Zero {t4} [n] p4 _))))
  1984	&& isSamePtr(p1, p2) && isSamePtr(p2, p3) && isSamePtr(p3, p4)
  1985	&& t2.Alignment() <= t1.Alignment()
  1986	&& t3.Alignment() <= t1.Alignment()
  1987	&& t4.Alignment() <= t1.Alignment()
  1988	&& registerizable(b, t2)
  1989	&& registerizable(b, t3)
  1990	&& n >= o2 + t2.Size()
  1991	&& n >= o3 + t3.Size()
  1992	=> (Store {t2} (OffPtr <tt2> [o2] dst) d1
  1993		(Store {t3} (OffPtr <tt3> [o3] dst) d2
  1994			(Zero {t1} [n] dst mem)))
  1995(Move {t1} [n] dst p1
  1996	mem:(Store {t2} (OffPtr <tt2> [o2] p2) d1
  1997		(Store {t3} (OffPtr <tt3> [o3] p3) d2
  1998			(Store {t4} (OffPtr <tt4> [o4] p4) d3
  1999				(Zero {t5} [n] p5 _)))))
  2000	&& isSamePtr(p1, p2) && isSamePtr(p2, p3) && isSamePtr(p3, p4) && isSamePtr(p4, p5)
  2001	&& t2.Alignment() <= t1.Alignment()
  2002	&& t3.Alignment() <= t1.Alignment()
  2003	&& t4.Alignment() <= t1.Alignment()
  2004	&& t5.Alignment() <= t1.Alignment()
  2005	&& registerizable(b, t2)
  2006	&& registerizable(b, t3)
  2007	&& registerizable(b, t4)
  2008	&& n >= o2 + t2.Size()
  2009	&& n >= o3 + t3.Size()
  2010	&& n >= o4 + t4.Size()
  2011	=> (Store {t2} (OffPtr <tt2> [o2] dst) d1
  2012		(Store {t3} (OffPtr <tt3> [o3] dst) d2
  2013			(Store {t4} (OffPtr <tt4> [o4] dst) d3
  2014				(Zero {t1} [n] dst mem))))
  2015(Move {t1} [n] dst p1
  2016	mem:(Store {t2} (OffPtr <tt2> [o2] p2) d1
  2017		(Store {t3} (OffPtr <tt3> [o3] p3) d2
  2018			(Store {t4} (OffPtr <tt4> [o4] p4) d3
  2019				(Store {t5} (OffPtr <tt5> [o5] p5) d4
  2020					(Zero {t6} [n] p6 _))))))
  2021	&& isSamePtr(p1, p2) && isSamePtr(p2, p3) && isSamePtr(p3, p4) && isSamePtr(p4, p5) && isSamePtr(p5, p6)
  2022	&& t2.Alignment() <= t1.Alignment()
  2023	&& t3.Alignment() <= t1.Alignment()
  2024	&& t4.Alignment() <= t1.Alignment()
  2025	&& t5.Alignment() <= t1.Alignment()
  2026	&& t6.Alignment() <= t1.Alignment()
  2027	&& registerizable(b, t2)
  2028	&& registerizable(b, t3)
  2029	&& registerizable(b, t4)
  2030	&& registerizable(b, t5)
  2031	&& n >= o2 + t2.Size()
  2032	&& n >= o3 + t3.Size()
  2033	&& n >= o4 + t4.Size()
  2034	&& n >= o5 + t5.Size()
  2035	=> (Store {t2} (OffPtr <tt2> [o2] dst) d1
  2036		(Store {t3} (OffPtr <tt3> [o3] dst) d2
  2037			(Store {t4} (OffPtr <tt4> [o4] dst) d3
  2038				(Store {t5} (OffPtr <tt5> [o5] dst) d4
  2039					(Zero {t1} [n] dst mem)))))
  2040(Move {t1} [n] dst p1
  2041	mem:(VarDef
  2042		(Store {t2} op2:(OffPtr <tt2> [o2] p2) d1
  2043			(Zero {t3} [n] p3 _))))
  2044	&& isSamePtr(p1, p2) && isSamePtr(p2, p3)
  2045	&& t2.Alignment() <= t1.Alignment()
  2046	&& t3.Alignment() <= t1.Alignment()
  2047	&& registerizable(b, t2)
  2048	&& n >= o2 + t2.Size()
  2049	=> (Store {t2} (OffPtr <tt2> [o2] dst) d1
  2050		(Zero {t1} [n] dst mem))
  2051(Move {t1} [n] dst p1
  2052	mem:(VarDef
  2053		(Store {t2} (OffPtr <tt2> [o2] p2) d1
  2054			(Store {t3} (OffPtr <tt3> [o3] p3) d2
  2055				(Zero {t4} [n] p4 _)))))
  2056	&& isSamePtr(p1, p2) && isSamePtr(p2, p3) && isSamePtr(p3, p4)
  2057	&& t2.Alignment() <= t1.Alignment()
  2058	&& t3.Alignment() <= t1.Alignment()
  2059	&& t4.Alignment() <= t1.Alignment()
  2060	&& registerizable(b, t2)
  2061	&& registerizable(b, t3)
  2062	&& n >= o2 + t2.Size()
  2063	&& n >= o3 + t3.Size()
  2064	=> (Store {t2} (OffPtr <tt2> [o2] dst) d1
  2065		(Store {t3} (OffPtr <tt3> [o3] dst) d2
  2066			(Zero {t1} [n] dst mem)))
  2067(Move {t1} [n] dst p1
  2068	mem:(VarDef
  2069		(Store {t2} (OffPtr <tt2> [o2] p2) d1
  2070			(Store {t3} (OffPtr <tt3> [o3] p3) d2
  2071				(Store {t4} (OffPtr <tt4> [o4] p4) d3
  2072					(Zero {t5} [n] p5 _))))))
  2073	&& isSamePtr(p1, p2) && isSamePtr(p2, p3) && isSamePtr(p3, p4) && isSamePtr(p4, p5)
  2074	&& t2.Alignment() <= t1.Alignment()
  2075	&& t3.Alignment() <= t1.Alignment()
  2076	&& t4.Alignment() <= t1.Alignment()
  2077	&& t5.Alignment() <= t1.Alignment()
  2078	&& registerizable(b, t2)
  2079	&& registerizable(b, t3)
  2080	&& registerizable(b, t4)
  2081	&& n >= o2 + t2.Size()
  2082	&& n >= o3 + t3.Size()
  2083	&& n >= o4 + t4.Size()
  2084	=> (Store {t2} (OffPtr <tt2> [o2] dst) d1
  2085		(Store {t3} (OffPtr <tt3> [o3] dst) d2
  2086			(Store {t4} (OffPtr <tt4> [o4] dst) d3
  2087				(Zero {t1} [n] dst mem))))
  2088(Move {t1} [n] dst p1
  2089	mem:(VarDef
  2090		(Store {t2} (OffPtr <tt2> [o2] p2) d1
  2091			(Store {t3} (OffPtr <tt3> [o3] p3) d2
  2092				(Store {t4} (OffPtr <tt4> [o4] p4) d3
  2093					(Store {t5} (OffPtr <tt5> [o5] p5) d4
  2094						(Zero {t6} [n] p6 _)))))))
  2095	&& isSamePtr(p1, p2) && isSamePtr(p2, p3) && isSamePtr(p3, p4) && isSamePtr(p4, p5) && isSamePtr(p5, p6)
  2096	&& t2.Alignment() <= t1.Alignment()
  2097	&& t3.Alignment() <= t1.Alignment()
  2098	&& t4.Alignment() <= t1.Alignment()
  2099	&& t5.Alignment() <= t1.Alignment()
  2100	&& t6.Alignment() <= t1.Alignment()
  2101	&& registerizable(b, t2)
  2102	&& registerizable(b, t3)
  2103	&& registerizable(b, t4)
  2104	&& registerizable(b, t5)
  2105	&& n >= o2 + t2.Size()
  2106	&& n >= o3 + t3.Size()
  2107	&& n >= o4 + t4.Size()
  2108	&& n >= o5 + t5.Size()
  2109	=> (Store {t2} (OffPtr <tt2> [o2] dst) d1
  2110		(Store {t3} (OffPtr <tt3> [o3] dst) d2
  2111			(Store {t4} (OffPtr <tt4> [o4] dst) d3
  2112				(Store {t5} (OffPtr <tt5> [o5] dst) d4
  2113					(Zero {t1} [n] dst mem)))))
  2114
  2115(SelectN [0] call:(StaticLECall {sym} a x)) && needRaceCleanup(sym, call) && clobber(call) => x
  2116(SelectN [0] call:(StaticLECall {sym} x)) && needRaceCleanup(sym, call) && clobber(call) => x
  2117
  2118// When rewriting append to growslice, we use as the new length the result of
  2119// growslice so that we don't have to spill/restore the new length around the growslice call.
  2120// The exception here is that if the new length is a constant, avoiding spilling it
  2121// is pointless and its constantness is sometimes useful for subsequent optimizations.
  2122// See issue 56440.
  2123// Note there are 2 rules here, one for the pre-decomposed []T result and one for
  2124// the post-decomposed (*T,int,int) result. (The latter is generated after call expansion.)
  2125// TODO(thepudds): we probably need the new growsliceBuf and growsliceBufNoAlias here as well?
  2126(SliceLen (SelectN [0] (StaticLECall {sym} _ newLen:(Const(64|32)) _ _ _ _)))
  2127	&& (isSameCall(sym, "runtime.growslice") || isSameCall(sym, "runtime.growsliceNoAlias"))
  2128	=> newLen
  2129(SelectN [1] (StaticCall {sym} _ newLen:(Const(64|32)) _ _ _ _)) && v.Type.IsInteger()
  2130	&& (isSameCall(sym, "runtime.growslice") || isSameCall(sym, "runtime.growsliceNoAlias"))
  2131	=> newLen
  2132
  2133// Collapse moving A -> B -> C into just A -> C.
  2134// Later passes (deadstore, elim unread auto) will remove the A -> B move, if possible.
  2135// This happens most commonly when B is an autotmp inserted earlier
  2136// during compilation to ensure correctness.
  2137// Take care that overlapping moves are preserved.
  2138// Restrict this optimization to the stack, to avoid duplicating loads from the heap;
  2139// see CL 145208 for discussion.
  2140(Move {t1} [s] dst tmp1 midmem:(Move {t2} [s] tmp2 src _))
  2141	&& t1.Compare(t2) == types.CMPeq
  2142	&& isSamePtr(tmp1, tmp2)
  2143	&& isStackPtr(src) && !isVolatile(src)
  2144	&& disjoint(src, s, tmp2, s)
  2145	&& (disjoint(src, s, dst, s) || isInlinableMemmove(dst, src, s, config))
  2146	=> (Move {t1} [s] dst src midmem)
  2147
  2148// Same, but for large types that require VarDefs.
  2149(Move {t1} [s] dst tmp1 midmem:(VarDef (Move {t2} [s] tmp2 src _)))
  2150	&& t1.Compare(t2) == types.CMPeq
  2151	&& isSamePtr(tmp1, tmp2)
  2152	&& isStackPtr(src) && !isVolatile(src)
  2153	&& disjoint(src, s, tmp2, s)
  2154	&& (disjoint(src, s, dst, s) || isInlinableMemmove(dst, src, s, config))
  2155	=> (Move {t1} [s] dst src midmem)
  2156
  2157// Don't zero the same bits twice.
  2158(Zero {t} [s] dst1 zero:(Zero {t} [s] dst2 _)) && isSamePtr(dst1, dst2) => zero
  2159(Zero {t} [s] dst1 vardef:(VarDef (Zero {t} [s] dst2 _))) && isSamePtr(dst1, dst2) => vardef
  2160
  2161// Elide self-moves. This only happens rarely (e.g test/fixedbugs/bug277.go).
  2162// However, this rule is needed to prevent the previous rule from looping forever in such cases.
  2163(Move dst src mem) && isSamePtr(dst, src) => mem
  2164
  2165// Constant rotate detection.
  2166((Add64|Or64|Xor64) (Lsh64x64 x z:(Const64 <t> [c])) (Rsh64Ux64 x (Const64 [d]))) && c < 64 && d == 64-c && canRotate(config, 64) => (RotateLeft64 x z)
  2167((Add32|Or32|Xor32) (Lsh32x64 x z:(Const64 <t> [c])) (Rsh32Ux64 x (Const64 [d]))) && c < 32 && d == 32-c && canRotate(config, 32) => (RotateLeft32 x z)
  2168((Add16|Or16|Xor16) (Lsh16x64 x z:(Const64 <t> [c])) (Rsh16Ux64 x (Const64 [d]))) && c < 16 && d == 16-c && canRotate(config, 16) => (RotateLeft16 x z)
  2169((Add8|Or8|Xor8) (Lsh8x64 x z:(Const64 <t> [c])) (Rsh8Ux64 x (Const64 [d]))) && c < 8 && d == 8-c && canRotate(config, 8) => (RotateLeft8 x z)
  2170
  2171// Non-constant rotate detection.
  2172// We use shiftIsBounded to make sure that neither of the shifts are >64.
  2173// Note: these rules are subtle when the shift amounts are 0/64, as Go shifts
  2174// are different from most native shifts. But it works out.
  2175((Add64|Or64|Xor64) left:(Lsh64x64 x y) right:(Rsh64Ux64 x (Sub64 (Const64 [64]) y))) && (shiftIsBounded(left) || shiftIsBounded(right)) && canRotate(config, 64) => (RotateLeft64 x y)
  2176((Add64|Or64|Xor64) left:(Lsh64x32 x y) right:(Rsh64Ux32 x (Sub32 (Const32 [64]) y))) && (shiftIsBounded(left) || shiftIsBounded(right)) && canRotate(config, 64) => (RotateLeft64 x y)
  2177((Add64|Or64|Xor64) left:(Lsh64x16 x y) right:(Rsh64Ux16 x (Sub16 (Const16 [64]) y))) && (shiftIsBounded(left) || shiftIsBounded(right)) && canRotate(config, 64) => (RotateLeft64 x y)
  2178((Add64|Or64|Xor64) left:(Lsh64x8  x y) right:(Rsh64Ux8  x (Sub8  (Const8  [64]) y))) && (shiftIsBounded(left) || shiftIsBounded(right)) && canRotate(config, 64) => (RotateLeft64 x y)
  2179
  2180((Add64|Or64|Xor64) right:(Rsh64Ux64 x y) left:(Lsh64x64 x z:(Sub64 (Const64 [64]) y))) && (shiftIsBounded(left) || shiftIsBounded(right)) && canRotate(config, 64) => (RotateLeft64 x z)
  2181((Add64|Or64|Xor64) right:(Rsh64Ux32 x y) left:(Lsh64x32 x z:(Sub32 (Const32 [64]) y))) && (shiftIsBounded(left) || shiftIsBounded(right)) && canRotate(config, 64) => (RotateLeft64 x z)
  2182((Add64|Or64|Xor64) right:(Rsh64Ux16 x y) left:(Lsh64x16 x z:(Sub16 (Const16 [64]) y))) && (shiftIsBounded(left) || shiftIsBounded(right)) && canRotate(config, 64) => (RotateLeft64 x z)
  2183((Add64|Or64|Xor64) right:(Rsh64Ux8  x y) left:(Lsh64x8  x z:(Sub8  (Const8  [64]) y))) && (shiftIsBounded(left) || shiftIsBounded(right)) && canRotate(config, 64) => (RotateLeft64 x z)
  2184
  2185((Add32|Or32|Xor32) left:(Lsh32x64 x y) right:(Rsh32Ux64 x (Sub64 (Const64 [32]) y))) && (shiftIsBounded(left) || shiftIsBounded(right)) && canRotate(config, 32) => (RotateLeft32 x y)
  2186((Add32|Or32|Xor32) left:(Lsh32x32 x y) right:(Rsh32Ux32 x (Sub32 (Const32 [32]) y))) && (shiftIsBounded(left) || shiftIsBounded(right)) && canRotate(config, 32) => (RotateLeft32 x y)
  2187((Add32|Or32|Xor32) left:(Lsh32x16 x y) right:(Rsh32Ux16 x (Sub16 (Const16 [32]) y))) && (shiftIsBounded(left) || shiftIsBounded(right)) && canRotate(config, 32) => (RotateLeft32 x y)
  2188((Add32|Or32|Xor32) left:(Lsh32x8  x y) right:(Rsh32Ux8  x (Sub8  (Const8  [32]) y))) && (shiftIsBounded(left) || shiftIsBounded(right)) && canRotate(config, 32) => (RotateLeft32 x y)
  2189
  2190((Add32|Or32|Xor32) right:(Rsh32Ux64 x y) left:(Lsh32x64 x z:(Sub64 (Const64 [32]) y))) && (shiftIsBounded(left) || shiftIsBounded(right)) && canRotate(config, 32) => (RotateLeft32 x z)
  2191((Add32|Or32|Xor32) right:(Rsh32Ux32 x y) left:(Lsh32x32 x z:(Sub32 (Const32 [32]) y))) && (shiftIsBounded(left) || shiftIsBounded(right)) && canRotate(config, 32) => (RotateLeft32 x z)
  2192((Add32|Or32|Xor32) right:(Rsh32Ux16 x y) left:(Lsh32x16 x z:(Sub16 (Const16 [32]) y))) && (shiftIsBounded(left) || shiftIsBounded(right)) && canRotate(config, 32) => (RotateLeft32 x z)
  2193((Add32|Or32|Xor32) right:(Rsh32Ux8  x y) left:(Lsh32x8  x z:(Sub8  (Const8  [32]) y))) && (shiftIsBounded(left) || shiftIsBounded(right)) && canRotate(config, 32) => (RotateLeft32 x z)
  2194
  2195((Add16|Or16|Xor16) left:(Lsh16x64 x y) right:(Rsh16Ux64 x (Sub64 (Const64 [16]) y))) && (shiftIsBounded(left) || shiftIsBounded(right)) && canRotate(config, 16) => (RotateLeft16 x y)
  2196((Add16|Or16|Xor16) left:(Lsh16x32 x y) right:(Rsh16Ux32 x (Sub32 (Const32 [16]) y))) && (shiftIsBounded(left) || shiftIsBounded(right)) && canRotate(config, 16) => (RotateLeft16 x y)
  2197((Add16|Or16|Xor16) left:(Lsh16x16 x y) right:(Rsh16Ux16 x (Sub16 (Const16 [16]) y))) && (shiftIsBounded(left) || shiftIsBounded(right)) && canRotate(config, 16) => (RotateLeft16 x y)
  2198((Add16|Or16|Xor16) left:(Lsh16x8  x y) right:(Rsh16Ux8  x (Sub8  (Const8  [16]) y))) && (shiftIsBounded(left) || shiftIsBounded(right)) && canRotate(config, 16) => (RotateLeft16 x y)
  2199
  2200((Add16|Or16|Xor16) right:(Rsh16Ux64 x y) left:(Lsh16x64 x z:(Sub64 (Const64 [16]) y))) && (shiftIsBounded(left) || shiftIsBounded(right)) && canRotate(config, 16) => (RotateLeft16 x z)
  2201((Add16|Or16|Xor16) right:(Rsh16Ux32 x y) left:(Lsh16x32 x z:(Sub32 (Const32 [16]) y))) && (shiftIsBounded(left) || shiftIsBounded(right)) && canRotate(config, 16) => (RotateLeft16 x z)
  2202((Add16|Or16|Xor16) right:(Rsh16Ux16 x y) left:(Lsh16x16 x z:(Sub16 (Const16 [16]) y))) && (shiftIsBounded(left) || shiftIsBounded(right)) && canRotate(config, 16) => (RotateLeft16 x z)
  2203((Add16|Or16|Xor16) right:(Rsh16Ux8  x y) left:(Lsh16x8  x z:(Sub8  (Const8  [16]) y))) && (shiftIsBounded(left) || shiftIsBounded(right)) && canRotate(config, 16) => (RotateLeft16 x z)
  2204
  2205((Add8|Or8|Xor8) left:(Lsh8x64 x y) right:(Rsh8Ux64 x (Sub64 (Const64 [8]) y))) && (shiftIsBounded(left) || shiftIsBounded(right)) && canRotate(config, 8) => (RotateLeft8 x y)
  2206((Add8|Or8|Xor8) left:(Lsh8x32 x y) right:(Rsh8Ux32 x (Sub32 (Const32 [8]) y))) && (shiftIsBounded(left) || shiftIsBounded(right)) && canRotate(config, 8) => (RotateLeft8 x y)
  2207((Add8|Or8|Xor8) left:(Lsh8x16 x y) right:(Rsh8Ux16 x (Sub16 (Const16 [8]) y))) && (shiftIsBounded(left) || shiftIsBounded(right)) && canRotate(config, 8) => (RotateLeft8 x y)
  2208((Add8|Or8|Xor8) left:(Lsh8x8  x y) right:(Rsh8Ux8  x (Sub8  (Const8  [8]) y))) && (shiftIsBounded(left) || shiftIsBounded(right)) && canRotate(config, 8) => (RotateLeft8 x y)
  2209
  2210((Add8|Or8|Xor8) right:(Rsh8Ux64 x y) left:(Lsh8x64 x z:(Sub64 (Const64 [8]) y))) && (shiftIsBounded(left) || shiftIsBounded(right)) && canRotate(config, 8) => (RotateLeft8 x z)
  2211((Add8|Or8|Xor8) right:(Rsh8Ux32 x y) left:(Lsh8x32 x z:(Sub32 (Const32 [8]) y))) && (shiftIsBounded(left) || shiftIsBounded(right)) && canRotate(config, 8) => (RotateLeft8 x z)
  2212((Add8|Or8|Xor8) right:(Rsh8Ux16 x y) left:(Lsh8x16 x z:(Sub16 (Const16 [8]) y))) && (shiftIsBounded(left) || shiftIsBounded(right)) && canRotate(config, 8) => (RotateLeft8 x z)
  2213((Add8|Or8|Xor8) right:(Rsh8Ux8  x y) left:(Lsh8x8  x z:(Sub8  (Const8  [8]) y))) && (shiftIsBounded(left) || shiftIsBounded(right)) && canRotate(config, 8) => (RotateLeft8 x z)
  2214
  2215// Rotating by y&c, with c a mask that doesn't change the bottom bits, is the same as rotating by y.
  2216(RotateLeft64 x (And(64|32|16|8) y (Const(64|32|16|8) [c]))) && c&63 == 63 => (RotateLeft64 x y)
  2217(RotateLeft32 x (And(64|32|16|8) y (Const(64|32|16|8) [c]))) && c&31 == 31 => (RotateLeft32 x y)
  2218(RotateLeft16 x (And(64|32|16|8) y (Const(64|32|16|8) [c]))) && c&15 == 15 => (RotateLeft16 x y)
  2219(RotateLeft8  x (And(64|32|16|8) y (Const(64|32|16|8) [c]))) && c&7  == 7  => (RotateLeft8  x y)
  2220
  2221// Rotating by -(y&c), with c a mask that doesn't change the bottom bits, is the same as rotating by -y.
  2222(RotateLeft64 x (Neg(64|32|16|8) (And(64|32|16|8) y (Const(64|32|16|8) [c])))) && c&63 == 63 => (RotateLeft64 x (Neg(64|32|16|8) <y.Type> y))
  2223(RotateLeft32 x (Neg(64|32|16|8) (And(64|32|16|8) y (Const(64|32|16|8) [c])))) && c&31 == 31 => (RotateLeft32 x (Neg(64|32|16|8) <y.Type> y))
  2224(RotateLeft16 x (Neg(64|32|16|8) (And(64|32|16|8) y (Const(64|32|16|8) [c])))) && c&15 == 15 => (RotateLeft16 x (Neg(64|32|16|8) <y.Type> y))
  2225(RotateLeft8  x (Neg(64|32|16|8) (And(64|32|16|8) y (Const(64|32|16|8) [c])))) && c&7  == 7  => (RotateLeft8  x (Neg(64|32|16|8) <y.Type> y))
  2226
  2227// Rotating by y+c, with c a multiple of the value width, is the same as rotating by y.
  2228(RotateLeft64 x (Add(64|32|16|8) y (Const(64|32|16|8) [c]))) && c&63 == 0 => (RotateLeft64 x y)
  2229(RotateLeft32 x (Add(64|32|16|8) y (Const(64|32|16|8) [c]))) && c&31 == 0 => (RotateLeft32 x y)
  2230(RotateLeft16 x (Add(64|32|16|8) y (Const(64|32|16|8) [c]))) && c&15 == 0 => (RotateLeft16 x y)
  2231(RotateLeft8  x (Add(64|32|16|8) y (Const(64|32|16|8) [c]))) && c&7  == 0 => (RotateLeft8  x y)
  2232
  2233// Rotating by c-y, with c a multiple of the value width, is the same as rotating by -y.
  2234(RotateLeft64 x (Sub(64|32|16|8) (Const(64|32|16|8) [c]) y)) && c&63 == 0 => (RotateLeft64 x (Neg(64|32|16|8) <y.Type> y))
  2235(RotateLeft32 x (Sub(64|32|16|8) (Const(64|32|16|8) [c]) y)) && c&31 == 0 => (RotateLeft32 x (Neg(64|32|16|8) <y.Type> y))
  2236(RotateLeft16 x (Sub(64|32|16|8) (Const(64|32|16|8) [c]) y)) && c&15 == 0 => (RotateLeft16 x (Neg(64|32|16|8) <y.Type> y))
  2237(RotateLeft8  x (Sub(64|32|16|8) (Const(64|32|16|8) [c]) y)) && c&7  == 0 => (RotateLeft8  x (Neg(64|32|16|8) <y.Type> y))
  2238
  2239// Ensure we don't do Const64 rotates in a 32-bit system.
  2240(RotateLeft64 x (Const64 <t> [c])) && config.PtrSize == 4 => (RotateLeft64 x (Const32 <t> [int32(c)]))
  2241(RotateLeft32 x (Const64 <t> [c])) && config.PtrSize == 4 => (RotateLeft32 x (Const32 <t> [int32(c)]))
  2242(RotateLeft16 x (Const64 <t> [c])) && config.PtrSize == 4 => (RotateLeft16 x (Const32 <t> [int32(c)]))
  2243(RotateLeft8  x (Const64 <t> [c])) && config.PtrSize == 4 => (RotateLeft8  x (Const32 <t> [int32(c)]))
  2244
  2245// Rotating by c, then by d, is the same as rotating by c+d.
  2246// We're trading a rotate for an add, which seems generally a good choice. It is especially good when c and d are constants.
  2247// This rule is a bit tricky as c and d might be different widths. We handle only cases where they are the same width.
  2248(RotateLeft(64|32|16|8) (RotateLeft(64|32|16|8) x c) d) && c.Type.Size() == 8 && d.Type.Size() == 8 => (RotateLeft(64|32|16|8) x (Add64 <c.Type> c d))
  2249(RotateLeft(64|32|16|8) (RotateLeft(64|32|16|8) x c) d) && c.Type.Size() == 4 && d.Type.Size() == 4 => (RotateLeft(64|32|16|8) x (Add32 <c.Type> c d))
  2250(RotateLeft(64|32|16|8) (RotateLeft(64|32|16|8) x c) d) && c.Type.Size() == 2 && d.Type.Size() == 2 => (RotateLeft(64|32|16|8) x (Add16 <c.Type> c d))
  2251(RotateLeft(64|32|16|8) (RotateLeft(64|32|16|8) x c) d) && c.Type.Size() == 1 && d.Type.Size() == 1 => (RotateLeft(64|32|16|8) x (Add8  <c.Type> c d))
  2252
  2253// Loading fixed addresses and constants.
  2254(Load                                     (Addr {s} sb)         _)  && isFixedLoad(v, s,   0) => rewriteFixedLoad(v, s, sb,   0)
  2255(Load                            (Convert (Addr {s} sb) _)      _)  && isFixedLoad(v, s,   0) => rewriteFixedLoad(v, s, sb,   0)
  2256(Load               (ITab (IMake          (Addr {s} sb)    _))  _)  && isFixedLoad(v, s,   0) => rewriteFixedLoad(v, s, sb,   0)
  2257(Load               (ITab (IMake (Convert (Addr {s} sb) _) _))  _)  && isFixedLoad(v, s,   0) => rewriteFixedLoad(v, s, sb,   0)
  2258(Load (OffPtr [off]                       (Addr {s} sb)       ) _)  && isFixedLoad(v, s, off) => rewriteFixedLoad(v, s, sb, off)
  2259(Load (OffPtr [off]              (Convert (Addr {s} sb) _)    ) _)  && isFixedLoad(v, s, off) => rewriteFixedLoad(v, s, sb, off)
  2260(Load (OffPtr [off] (ITab (IMake          (Addr {s} sb)    _))) _)  && isFixedLoad(v, s, off) => rewriteFixedLoad(v, s, sb, off)
  2261(Load (OffPtr [off] (ITab (IMake (Convert (Addr {s} sb) _) _))) _)  && isFixedLoad(v, s, off) => rewriteFixedLoad(v, s, sb, off)
  2262
  2263// Calling cmpstring a second time with the same arguments in the
  2264// same memory state can reuse the results of the first call.
  2265// See issue 61725.
  2266// Note that this could pretty easily generalize to any pure function.
  2267(SelectN [0] (StaticLECall {f} x y (SelectN [1] c:(StaticLECall {g} x y mem))))
  2268  && isSameCall(f, "runtime.cmpstring")
  2269  && isSameCall(g, "runtime.cmpstring")
  2270=> @c.Block (SelectN [0] <typ.Int> c)
  2271
  2272// If we don't use the result of cmpstring, might as well not call it.
  2273// Note that this could pretty easily generalize to any pure function.
  2274(SelectN [1] c:(StaticLECall {f} _ _ mem)) && c.Uses == 1 && isSameCall(f, "runtime.cmpstring") && clobber(c) => mem
  2275
  2276// We can easily compute the result of efaceeq if
  2277// we know the underlying type is pointer-ish.
  2278(StaticLECall {f} typ_ x y mem)
  2279	&& isSameCall(f, "runtime.efaceeq")
  2280	&& isDirectAndComparableType(typ_)
  2281	&& clobber(v)
  2282	=> (MakeResult (EqPtr x y) mem)
  2283
  2284// We can easily compute the result of ifaceeq if
  2285// we know the underlying type is pointer-ish.
  2286(StaticLECall {f} itab x y mem)
  2287	&& isSameCall(f, "runtime.ifaceeq")
  2288	&& isDirectAndComparableIface(itab)
  2289	&& clobber(v)
  2290	=> (MakeResult (EqPtr x y) mem)
  2291
  2292// If we use the result of slicebytetostring in a map lookup operation,
  2293// then we don't need to actually do the []byte->string conversion.
  2294// We can just use the ptr/len of the byte slice directly as a (temporary) string.
  2295//
  2296// Note that this does not handle some obscure cases like
  2297// m[[2]string{string(b1), string(b2)}]. There is code in ../walk/order.go
  2298// which handles some of those cases.
  2299(StaticLECall {f} [argsize] typ_ map_ key:(SelectN [0] sbts:(StaticLECall {g} _ ptr len mem)) m:(SelectN [1] sbts))
  2300  &&    (isSameCall(f, "runtime.mapaccess1_faststr")
  2301      || isSameCall(f, "runtime.mapaccess2_faststr")
  2302      || isSameCall(f, "runtime.mapdelete_faststr"))
  2303  && isSameCall(g, "runtime.slicebytetostring")
  2304  && key.Uses == 1
  2305  && sbts.Uses == 2
  2306  && resetCopy(m, mem)
  2307  && clobber(sbts)
  2308  && clobber(key)
  2309=> (StaticLECall {f} [argsize] typ_ map_ (StringMake <typ.String> ptr len) mem)
  2310
  2311// Similarly to map lookups, also handle unique.Make for strings, which unique.Make will clone.
  2312(StaticLECall {f} [argsize] dict_ key:(SelectN [0] sbts:(StaticLECall {g} _ ptr len mem)) m:(SelectN [1] sbts))
  2313  && isSameCall(f, "unique.Make[go.shape.string]")
  2314  && isSameCall(g, "runtime.slicebytetostring")
  2315  && key.Uses == 1
  2316  && sbts.Uses == 2
  2317  && resetCopy(m, mem)
  2318  && clobber(sbts)
  2319  && clobber(key)
  2320=> (StaticLECall {f} [argsize] dict_ (StringMake <typ.String> ptr len) mem)
  2321
  2322// Transform some CondSelect into math operations.
  2323// if b { x += c } => x += b * c
  2324(CondSelect op:(Add8 <t> x c:(Const8)) x bool) &&
  2325	rewriteCondSelectIntoMath(config, op.Op, c.AuxInt) =>
  2326	(Add8 x (Mul8 <t> c (CvtBoolToUint8 <t> bool)))
  2327(CondSelect op:(Add(64|32|16) <t> x c:(Const(64|32|16))) x bool) &&
  2328	rewriteCondSelectIntoMath(config, op.Op, c.AuxInt) =>
  2329	(Add(64|32|16) x (Mul(64|32|16) <t> c (ZeroExt8to(64|32|16) <t> (CvtBoolToUint8 <types.Types[types.TUINT8]> bool))))
  2330// if !b { x += c } => x += !b * c
  2331(CondSelect x op:(Add8 <t> x c:(Const8)) bool) &&
  2332	rewriteCondSelectIntoMath(config, op.Op, c.AuxInt) =>
  2333	(Add8 x (Mul8 <t> c (CvtBoolToUint8 <t> (Not <bool.Type> bool))))
  2334(CondSelect x op:(Add(64|32|16) <t> x c:(Const(64|32|16))) bool) &&
  2335	rewriteCondSelectIntoMath(config, op.Op, c.AuxInt) =>
  2336	(Add(64|32|16) x (Mul(64|32|16) <t> c (ZeroExt8to(64|32|16) <t> (CvtBoolToUint8 <types.Types[types.TUINT8]> (Not <bool.Type> bool)))))
  2337
  2338// if b { x += c } => x -= b * -c // looks redundant but useful if the arch can inline materialize -c but not c
  2339(CondSelect op:(Add8 <t> x c:(Const8 [consT])) x bool) &&
  2340	!rewriteCondSelectIntoMath(config, op.Op, c.AuxInt) &&
  2341	rewriteCondSelectIntoMath(config, addToSub(op.Op), -c.AuxInt) =>
  2342	(Sub8 x (Mul8 <t> (Const8 <t> [-consT]) (CvtBoolToUint8 <t> bool)))
  2343(CondSelect op:(Add(64|32|16) <t> x c:(Const(64|32|16) [consT])) x bool) &&
  2344	!rewriteCondSelectIntoMath(config, op.Op, c.AuxInt) &&
  2345	rewriteCondSelectIntoMath(config, addToSub(op.Op), -c.AuxInt) =>
  2346	(Sub(64|32|16) x (Mul(64|32|16) <t> (Const(64|32|16) <t> [-consT]) (ZeroExt8to(64|32|16) <t> (CvtBoolToUint8 <types.Types[types.TUINT8]> bool))))
  2347// if !b { x += c } => x -= !b * -c // looks redundant but useful if the arch can inline materialize -c but not c
  2348(CondSelect x op:(Add8 <t> x c:(Const8 [consT])) bool) &&
  2349	!rewriteCondSelectIntoMath(config, op.Op, c.AuxInt) &&
  2350	rewriteCondSelectIntoMath(config, addToSub(op.Op), -c.AuxInt) =>
  2351	(Sub8 x (Mul8 <t> (Const8 <t> [-consT]) (CvtBoolToUint8 <t> (Not <bool.Type> bool))))
  2352(CondSelect x op:(Add(64|32|16) <t> x c:(Const(64|32|16) [consT])) bool) &&
  2353	!rewriteCondSelectIntoMath(config, op.Op, c.AuxInt) &&
  2354	rewriteCondSelectIntoMath(config, addToSub(op.Op), -c.AuxInt) =>
  2355	(Sub(64|32|16) x (Mul(64|32|16) <t> (Const(64|32|16) <t> [-consT]) (ZeroExt8to(64|32|16) <t> (CvtBoolToUint8 <types.Types[types.TUINT8]> (Not <bool.Type> bool)))))
  2356
  2357// if b { x <<= 1 } => x <<= b
  2358(CondSelect (Lsh(64|32|16|8)x64 x (Const64 [1])) x bool) => (Lsh(64|32|16|8)x8 [true] x (CvtBoolToUint8 <types.Types[types.TUINT8]> bool))
  2359// if !b { x <<= 1 } => x <<= !b
  2360(CondSelect x (Lsh(64|32|16|8)x64 x (Const64 [1])) bool) => (Lsh(64|32|16|8)x8 [true] x (CvtBoolToUint8 <types.Types[types.TUINT8]> (Not <bool.Type> bool)))
  2361
  2362// if b { x >>= 1 } => x >>= b
  2363(CondSelect (Rsh(64|32|16|8)x64 x (Const64 [1])) x bool) => (Rsh(64|32|16|8)x8 [true] x (CvtBoolToUint8 <types.Types[types.TUINT8]> bool))
  2364(CondSelect (Rsh(64|32|16|8)Ux64 x (Const64 [1])) x bool) => (Rsh(64|32|16|8)Ux8 [true] x (CvtBoolToUint8 <types.Types[types.TUINT8]> bool))
  2365// if !b { x >>= 1 } => x >>= !b
  2366(CondSelect x (Rsh(64|32|16|8)x64 x (Const64 [1])) bool) => (Rsh(64|32|16|8)x8 [true] x (CvtBoolToUint8 <types.Types[types.TUINT8]> (Not <bool.Type> bool)))
  2367(CondSelect x (Rsh(64|32|16|8)Ux64 x (Const64 [1])) bool) => (Rsh(64|32|16|8)Ux8 [true] x (CvtBoolToUint8 <types.Types[types.TUINT8]> (Not <bool.Type> bool)))
  2368
  2369// if b { x |= c } => x |= b * c
  2370(CondSelect op:(Or8 <t> x c:(Const8)) x bool) &&
  2371	rewriteCondSelectIntoMath(config, op.Op, c.AuxInt) =>
  2372	(Or8 x (Mul8 <t> c (CvtBoolToUint8 <t> bool)))
  2373(CondSelect op:(Or(64|32|16) <t> x c:(Const(64|32|16))) x bool) &&
  2374	rewriteCondSelectIntoMath(config, op.Op, c.AuxInt) =>
  2375	(Or(64|32|16) x (Mul(64|32|16) <t> c (ZeroExt8to(64|32|16) <t> (CvtBoolToUint8 <types.Types[types.TUINT8]> bool))))
  2376// if !b { x |= c } => x |= !b * c
  2377(CondSelect x op:(Or8 <t> x c:(Const8)) bool) &&
  2378	rewriteCondSelectIntoMath(config, op.Op, c.AuxInt) =>
  2379	(Or8 x (Mul8 <t> c (CvtBoolToUint8 <t> (Not <bool.Type> bool))))
  2380(CondSelect x op:(Or(64|32|16) <t> x c:(Const(64|32|16))) bool) &&
  2381	rewriteCondSelectIntoMath(config, op.Op, c.AuxInt) =>
  2382	(Or(64|32|16) x (Mul(64|32|16) <t> c (ZeroExt8to(64|32|16) <t> (CvtBoolToUint8 <types.Types[types.TUINT8]> (Not <bool.Type> bool)))))
  2383
  2384// if b { x ^= c } => x ^= b * c
  2385(CondSelect op:(Xor8 <t> x c:(Const8)) x bool) &&
  2386	rewriteCondSelectIntoMath(config, op.Op, c.AuxInt) =>
  2387	(Xor8 x (Mul8 <t> c (CvtBoolToUint8 <t> bool)))
  2388(CondSelect op:(Xor(64|32|16) <t> x c:(Const(64|32|16))) x bool) &&
  2389	rewriteCondSelectIntoMath(config, op.Op, c.AuxInt) =>
  2390	(Xor(64|32|16) x (Mul(64|32|16) <t> c (ZeroExt8to(64|32|16) <t> (CvtBoolToUint8 <types.Types[types.TUINT8]> bool))))
  2391// if !b { x ^= c } => x ^= !b * c
  2392(CondSelect x op:(Xor8 <t> x c:(Const8)) bool) &&
  2393	rewriteCondSelectIntoMath(config, op.Op, c.AuxInt) =>
  2394	(Xor8 x (Mul8 <t> c (CvtBoolToUint8 <t> (Not <bool.Type> bool))))
  2395(CondSelect x op:(Xor(64|32|16) <t> x c:(Const(64|32|16))) bool) &&
  2396	rewriteCondSelectIntoMath(config, op.Op, c.AuxInt) =>
  2397	(Xor(64|32|16) x (Mul(64|32|16) <t> c (ZeroExt8to(64|32|16) <t> (CvtBoolToUint8 <types.Types[types.TUINT8]> (Not <bool.Type> bool)))))
  2398
  2399// bool(int(x)) => x
  2400(Neq8                                (CvtBoolToUint8 x)  (Const8          [0])) => x
  2401(Neq8                                (CvtBoolToUint8 x)  (Const8          [1])) => (Not x)
  2402(Eq8                                 (CvtBoolToUint8 x)  (Const8          [1])) => x
  2403(Eq8                                 (CvtBoolToUint8 x)  (Const8          [0])) => (Not x)
  2404(Neq(64|32|16) (ZeroExt8to(64|32|16) (CvtBoolToUint8 x)) (Const(64|32|16) [0])) => x
  2405(Neq(64|32|16) (ZeroExt8to(64|32|16) (CvtBoolToUint8 x)) (Const(64|32|16) [1])) => (Not x)
  2406(Eq(64|32|16)  (ZeroExt8to(64|32|16) (CvtBoolToUint8 x)) (Const(64|32|16) [1])) => x
  2407(Eq(64|32|16)  (ZeroExt8to(64|32|16) (CvtBoolToUint8 x)) (Const(64|32|16) [0])) => (Not x)
  2408
  2409// Canonicalize sext(int(bool)) => zext(int(bool))
  2410(SignExt8to(64|32|16) cvt:(CvtBoolToUint8 bool)) => (ZeroExt8to(64|32|16) cvt)

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