Apple M1 Microarchitecture Research by Dougall Johnson

Firestorm: Overview | Base Instructions | SIMD and FP Instructions
Icestorm:  Overview | Base Instructions | SIMD and FP Instructions

SQRDMULH (by element, 2S)

Test 1: uops

Code:

  sqrdmulh v0.2s, v0.2s, v1.s[1]
  movi v0.16b, 1
  movi v1.16b, 2

(no loop instructions)

1000 unrolls and 1 iteration

Retires: 1.000

Issues: 1.000

Integer unit issues: 0.000

Load/store unit issues: 0.000

SIMD/FP unit issues: 1.000

retire (01)cycle (02)031e3f4e51inst issue (52)~issue fp/simd (54)~dispatch fp/simd (57)huge thing fp/simd (5b)60696d6edispatch stall (70)scheduler rewind (75)scheduler stall (76)~dispatch op (78)~map op fp/simd (7e)~map lookup fp/simd (81)8283pipeline redirect (84)85inst all (8c)inst neon or fp (9a)a8c2cfd5d6ddinst fetch restart (de)e0? fp/simd (ee)f5f6f7f8fd
100430372306125482510001000100039831303018303730372415328951000100020003037303711100110000073216112630100030383038303830383038
1004303723027925482510001000100039831303018303730372415328951000100020003037303711100110000073116112630100030383038303830383038
1004303722041325482510001000100039831303018303730372415328951000100020003037303711100110000073116112630100030383038303830383038
100430372206125482510001000100039831303018303730372415328951000100020003037303711100110000073116112630100030383038303830383038
100430372206125482510001000100039831303018303730372414328951000100020003037303711100110000073116112630100030383038303830383038
100430372208225482510001000100039831303018303730372415328951000100020003037303711100110000073116112630100030383038303830383038
1004303723048925482510001000100039831303018303730372415328951000100020003037303711100110000073116112630100030383038303830383038
1004303723042025482510001000100039831303018303730372415328951000100020003037303711100110000073116112627100030383038303830383038
100430372325829925482510001000100039831303018303730372414328951000100020003037303711100110000073116112630100030383038303830383038
100430372306125482510001000100039831303018303730372415328951000100020003037303711100110000073116112630100030383038303830383038

Test 2: Latency 1->2

Code:

  sqrdmulh v0.2s, v0.2s, v1.s[1]
  movi v0.16b, 1
  movi v1.16b, 2

(fused SUBS/B.cc loop)

100 unrolls and 100 iterations

Result (median cycles for code): 3.0037

retire (01)cycle (02)0308181e3f4e51inst issue (52)~issue int (53)~issue fp/simd (54)~dispatch int (56)~dispatch fp/simd (57)huge thing int (59)huge thing fp/simd (5b)696d6edispatch stall (70)scheduler rewind (75)scheduler stall (76)~dispatch op (78)~map op int (7c)~map op fp/simd (7e)~map lookup int (7f)~map lookup fp/simd (81)8283pipeline redirect (84)85inst all (8c)inst branch (8d)inst branch taken (90)inst b.cc (94)inst integer (97)inst neon or fp (9a)9fa8accdcfd0d5d6ddinst fetch restart (de)e0? int output thing (e9)? fp/simd (ee)gpr retires (ef)f5f6f7f8fd
10204300372250012612954825101001001000010010000500427731330018300373003728265328745101002001000020020000300373003711102011009910010010000100000710011611296340100001003003830038300383003830038
1020430037224000612954825101001001000010010000500427731330018300373003728265328745101002001000020020000300373003711102011009910010010000100000710011611296340100001003003830038300383003830038
10204300372250024612954825101001001000010010000500427731330018300373003728265328745101002001000020020000300373003711102011009910010010000100030710011611296340100001003008630038300383003830038
1020430037225000612954825101001001000010010000500427731330018300373003728265328745101002001000020020000300373003711102011009910010010000100000710011611296340100001003003830038300383003830038
10204300372250007262954825101001001000010010000500427731330018300373003728265328745101002001000020020000300373003711102011009910010010000100000710011611296340100001003003830038300383003830038
10204300372250005362954825101001001000010010000500427731330018300373003728265328745101002001000020020000300373003711102011009910010010000100000710011611296340100001003003830038300383003830038
10204300372250007262954825101001001000010010000500427731330018300373003728265328745101002001000020020000300373003711102011009910010010000100000710011611296340100001003003830038300383003830038
1020430037225000612954825101001001000010010000500427731330018300853003728265328745101002001000020020000300373003711102011009910010010000100000735011611296340100001003003830038300383003830038
1020430037224000612954825101001001000010010000500427731330018300373003728265328745101002001000020020000300373003711102011009910010010000100000710011611296340100001003003830038300383003830038
1020430037225000612954825101001001000010010000500427731330018300373003728265328745101002001000020020000300373003711102011009910010010000100000710011611296340100001003003830038300383003830038

1000 unrolls and 10 iterations

Result (median cycles for code): 3.0037

retire (01)cycle (02)030b1e3f4e51inst issue (52)~issue int (53)~issue fp/simd (54)~dispatch int (56)~dispatch fp/simd (57)huge thing int (59)huge thing fp/simd (5b)60696d6edispatch stall (70)scheduler rewind (75)scheduler stall (76)~dispatch op (78)~map op int (7c)~map op fp/simd (7e)~map lookup int (7f)~map lookup fp/simd (81)8283pipeline redirect (84)85inst all (8c)inst branch (8d)inst branch taken (90)inst b.cc (94)inst integer (97)inst neon or fp (9a)9fa0a8acbranch mispredict (cb)cfd5d6d9ddinst fetch restart (de)e0? int output thing (e9)? fp/simd (ee)gpr retires (ef)f5f6f7f8fd
100243003722500612954825100101010000101000050427731313001830037300372828732876710010201000020200003003730037111002110910101000010000064021602229630010000103003830038300383003830038
100243003722500662954825100101010000101000050427731313001830037300372828732876710010201000020209743003730037111002110910101000010000064021602229630010000103003830038300383003830038
100243003722500612954825100101010000101000050427731313001830037300372828732876710010201000020200003003730037111002110910101000010000064021602229630010000103003830038300383003830038
100243003722500612954825100101010000101000050427731313001830037300372828732876710010201000020200003003730037111002110910101000010000064021602229630010000103003830038300383003830038
100243003722500612954825100101010000101000050427731313001830037300372828732876710010201000020200003003730037111002110910101000010000064021602229630010000103003830038300383003830038
100243003722500612954825100101010000101000050427731313001830037300372828732876710010201000020200003003730037111002110910101000010000064021602229630010000103003830038300383003830038
100243003722500612954825100101010000101000050427731313001830037300372828732876710010201000020209843003730037111002110910101000010000064021602229630010000103003830038300383003830038
100243003722500612954825100101010000101014850427731313001830037300372828732876710010201000020200003003730037111002110910101000010020064021602229630010000103003830038300383003830038
100243003722500612954825100101010000101000050427731313001830037300372828732876710010201000020200003003730037111002110910101000010000064021602229630010000103003830038300383003830038
100243003722400612954825100101010000101000050427731313001830037300372828732876710010201000020200003003730037111002110910101000010000064021602229630010000103003830038300383003830038

Test 3: Latency 1->3

Code:

  sqrdmulh v0.2s, v1.2s, v0.s[1]
  movi v0.16b, 1
  movi v1.16b, 2

(fused SUBS/B.cc loop)

100 unrolls and 100 iterations

Result (median cycles for code): 3.0037

retire (01)cycle (02)0318191e3a3f4e51inst issue (52)~issue int (53)~issue fp/simd (54)~dispatch int (56)~dispatch fp/simd (57)huge thing int (59)huge thing fp/simd (5b)60696d6edispatch stall (70)72scheduler rewind (75)scheduler stall (76)~dispatch op (78)~map op int (7c)~map op fp/simd (7e)~map lookup int (7f)~map lookup fp/simd (81)8283pipeline redirect (84)85inst all (8c)inst branch (8d)inst branch taken (90)inst b.cc (94)inst integer (97)inst neon or fp (9a)9fa8a9accfd0d5d6ddinst fetch restart (de)e0? fp/simd (ee)gpr retires (ef)f5f6f7f8fd
102043003722500006129548251010010010000100100005004277313030018300373003728265032874510100200100002002000030037300371110201100991001001000010000071001161129634100001003003830038300383003830038
102043003722500006129548251010010010000100100005004277313030018300373007028265032874510100200100002002000030037300371110201100991001001000010000071001161129634100001003003830038300383003830038
102043003722400006129548251010010010000100100005004277313130018300373003728265732874510100200100002002000030037300371110201100991001001000010000071001161129634100001003003830038300383003830038
1020430037225000098529548251010010010000100100005004277313130018300373003728265032874510100200100002002000030037300371110201100991001001000010000071001161129634100001003003830038300383003830038
1020430037225041226129548251010010010000100100005004277313030018300373003728265032874510100204100002002000030037300371110201100991001001000010000071001161129634100001003003830038300383003830038
102043003722500006129548251010010010000100100005004277313130018300373003728265032874510100200100002002000030037300371110201100991001001000010000071001161129634100001003003830038300383003830038
102043003722500006129548251010010010000100100005004277313130018300373003728265032874510100200100002002000030037300371110201100991001001000010000071001161129634100001003003830038300383003830038
102043003722500006129548251010010010000100100005004277313030018300373003728265032874510100200100002002000030037300371110201100991001001000010000071001161129634100001003003830038300383003830038
102043003722500006129548251010010010000100100005004277313130018300373003728265032874510100200100002002000030037300371110201100991001001000010000071001161129634100001003003830038300383003830038
1020430037225400042029548251010010010000100100005004277313130018300373003728265032874510100200100002002000030037300371110201100991001001000010000071001161129634100001003003830038300383003830038

1000 unrolls and 10 iterations

Result (median cycles for code): 3.0037

retire (01)cycle (02)0308090b18191e1f3f4e51inst issue (52)~issue int (53)~issue fp/simd (54)~dispatch int (56)~dispatch fp/simd (57)huge thing int (59)huge thing fp/simd (5b)60696d6edispatch stall (70)scheduler rewind (75)scheduler stall (76)~dispatch op (78)~map op int (7c)~map op fp/simd (7e)~map lookup int (7f)~map lookup fp/simd (81)8283pipeline redirect (84)85inst all (8c)inst branch (8d)inst branch taken (90)inst b.cc (94)inst integer (97)inst neon or fp (9a)9fa8accdcfd5d6ddinst fetch restart (de)e0? fp/simd (ee)gpr retires (ef)f5f6f7f8fd
10024300372251112223419213452953064100281410016121014972427731303005430085300852829072879810010201033120203923013130133311002110910101000010130640416222963010000103003830038300383003830038
100243003722500000120612954825100101010000101000050427731313001830037300372828732876710010201000020200003003730037111002110910101000010000640216222963010000103003830038300383003830038
10024300372250000000612954825100101010000101000050427731303001830037300372828732876710010201000020200003003730037111002110910101000010000640216222963010000103003830038300383003830038
100243003722400040840612954825100101010000101000050427731313001830037300372828732876710010201016820200003003730037111002110910101000010000640216222963010000103003830038300383003830038
10024300372250000000612954825100101010000101000050427731313001830037300372828732876710010201000020200003003730037111002110910101000010000640216222963010000103003830038300383003830038
10024300372250000000612954825100101010000101000050427731303001830037300372828732876710010201000020200003003730037111002110910101000010000640216222963010000103003830038300383003830038
10024300372250000000612954825100101010000101000060427731313001830037300372828732876710010201000020200003003730037111002110910101000010000640216222963010000103003830038300383003830038
10024300372250000000612954825100101010000101000050427731313001830037300372828732876710010201000020200003003730037111002110910101000010000640216222963010000103003830038300383003830038
10024300372250000030612954825100101010000101000050427731313001830037300372828732876710010201000020200003003730037111002110910101000010000640216222963010000103003830038300383003830038
100243007022500000007262954825100101010000101000050427731313001830037300372828732876710010201000020200003003730037111002110910101000010060640216222963010000103003830038300383003830038

Test 4: throughput

Count: 8

Code:

  sqrdmulh v0.2s, v8.2s, v9.s[1]
  sqrdmulh v1.2s, v8.2s, v9.s[1]
  sqrdmulh v2.2s, v8.2s, v9.s[1]
  sqrdmulh v3.2s, v8.2s, v9.s[1]
  sqrdmulh v4.2s, v8.2s, v9.s[1]
  sqrdmulh v5.2s, v8.2s, v9.s[1]
  sqrdmulh v6.2s, v8.2s, v9.s[1]
  sqrdmulh v7.2s, v8.2s, v9.s[1]
  movi v8.16b, 9
  movi v9.16b, 10

(fused SUBS/B.cc loop)

100 unrolls and 100 iterations

Result (median cycles for code divided by count): 0.2505

retire (01)cycle (02)03181e3a3f51inst issue (52)~issue int (53)~issue fp/simd (54)~dispatch int (56)~dispatch fp/simd (57)huge thing int (59)huge thing fp/simd (5b)60696d6edispatch stall (70)scheduler rewind (75)scheduler stall (76)~dispatch op (78)~map op int (7c)~map op fp/simd (7e)~map lookup int (7f)~map lookup fp/simd (81)8283pipeline redirect (84)85inst all (8c)inst branch (8d)inst branch taken (90)inst b.cc (94)inst integer (97)inst neon or fp (9a)9fa1a8acc2cfd5d6ddinst fetch restart (de)e0? fp/simd (ee)gpr retires (ef)f5f6f7f8fd
8020420059150000412580100100800001008000050064000012002020039200399973399978010020080000200160000200392003911802011009910010080000100000051102161120036800001002004020040200402004020040
802042003915001804125801001008000010080000500640000120020200392003999733999780100200800002001600002003920039118020110099100100800001000370051101161120036800001002004020040200402004020040
8020420039150000412580100100800001008000050064000012002020039200399973399978010020080000200160000200392003911802011009910010080000100000051101161120036800001002004020040200402004020040
8020420039150000412580100100800001008000050064000012002020039200399973399978010020080000200160000200392003911802011009910010080000100000051101161120036800001002004020040200402004020040
80204200391500120412580100100800001008000050064000012002020039200399973399978010020080000200160000200392003911802011009910010080000100000051101161120036800001002004020040200402004020040
8020420039150000412580100100800001008000050064000012002020142200399973399978010020080000200160000200392003911802011009910010080000100200251101161320036800001002004020040200402004020040
8020420039150121911292580100100800001008000050064000012002020039200399973399978010020080000200160000200392008931802011009910010080000100003051101161120036800001002004020040200402004020040
80204200391500270412580100100800001008000050064000012002020039200399973399978010020080000200160000200392003911802011009910010080000100013051101161120036800001002004020040200402004020040
8020420039150000412580100100800001008000050064000012002020039200399973399978010020080000200160000200392003911802011009910010080000100000051101161120036800001002004020040200402004020040
8020420039150000412580100100800001008000050064000012002020039200399973399978010020080000200160000200392003911802011009910010080000100013051101161120036800001002004020040200402004020040

1000 unrolls and 10 iterations

Result (median cycles for code divided by count): 0.2505

retire (01)cycle (02)03181e3a3f51inst issue (52)~issue int (53)~issue fp/simd (54)~dispatch int (56)~dispatch fp/simd (57)huge thing int (59)huge thing fp/simd (5b)5f60696d6edispatch stall (70)scheduler rewind (75)scheduler stall (76)~dispatch op (78)~map op int (7c)~map op fp/simd (7e)~map lookup int (7f)~map lookup fp/simd (81)8283pipeline redirect (84)85inst all (8c)inst branch (8d)inst branch taken (90)inst b.cc (94)inst integer (97)inst neon or fp (9a)9fa1a8acc5cfd5d6ddinst fetch restart (de)e0eb? fp/simd (ee)gpr retires (ef)f5f6f7f8fd
80024200481500810402580010108000010800005064000001200202003920039999631001980010208000020160000200392003911800211091010800001000005020181617620036080000102004020040200402004020040
8002420039150000402580010108000010800005064000051200202003920039999631001980010208000020160000200392003911800211091010800001000005020171617820036080000102004020040200402004020040
80024200391500004025800101080000108000050640000512002020039200399996310019800102080000201600002003920039118002110910108000010000050201716171720036080000102004020040200402004020040
8002420039150000402580010108000010800005064000041200202003920039999631001980010208000020160000200392003911800211091010800001000005020171661720036080000102004020040200402004020040
8002420039150000402580010108000010800006064000041200202003920039999631001980010208000020160000200392003911800211091010800001000005020171617820036080000102004020040200402004020040
8002420039150000402580010108000010800005064000051200202003920039999631001980010208000020160000200392003911800211091010800001000005020171617820036080000102004020040200402004020040
8002420039150000402580010108000010800005064000051200202003920039999631001980010208000020160000200392003911800211091010800001000005020171617820036080000102004020040200402004020040
800242003915000040258001010800001080000506400005120020200392003999963100198001020800002016000020039200391180021109101080000100000502061681720036080000102004020040200402004020040
8002420039150000402580010108000010800005064000041200202003920039999631001980010208000020160000200392003911800211091010800001000005020171681720036080000102004020040200402004020040
80024200391500210402580010108000010800005064000061200202003920039999631001980010208000020160000200392003911800211091010800001000005020171617820036080000102004020040200402004020040