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Meticulous Excavation: Win Rates in The Brothers’ War MTG Limited

How can we know which are the strongest cards in any Limited format? Some card evaluators are shrewd enough to see the card file before prerelease has even happened, and offer consistently accurate projections as to how strong each card will be, given the context of the set. Others learn by playing – what cards have felt the strongest in the games they’ve played, what cards do you always wish were something else, which cards are you happiest to see your opponents play?

Of course, the first approach, though it can be useful, is almost entirely theoretical, and the second approach benefits from experience, but an inherently limited experience. Even the most diehard Arena players don’t accumulate enough observations of any given card in play to know with any degree of precision how much each card contributes to winning.

Data aggregators, such as 17Lands, attempt to compensate for the lack of firsthand contextual understanding with a huge volume of observations. If 17Lands reports that users who have Skyfisher Spider in hand win 62 percent of their games, you can believe with a high degree of confidence in that 62 percent number. Where these metrics fall short, of course, is they don’t really tell you why Skyfisher Spider has so often been in a winning situation.

To get closer to understanding the why, I developed an “Adjusted Win Rate” model, which considers each card in each deck (taken from 17Lands users’ game histories), assesses the degree to which cards can synergize to make each other stronger and puts a number on how much each card contributes to winning, in the context of a specific deck.

I introduced the model in this write-up of Dominaria United, and have replicated it for The Brothers’ War. Each card’s contribution to winning can be decomposed into two effects: its strength in isolation – how much more likely a deck is to win with it than without it, without regard to the other cards in the deck, and its synergy coefficient – how much better a card makes a deck when it’s surrounded with cards that it works well with.

 

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The strength coefficients are the closest thing we have to evaluating cards in a vacuum; here they are for BRO:

rnk card cost type rarity strength std_err
1 Tyrant of Kher Ridges C—D R 6.60 0.54
2 Siege Veteran C—HS R 6.60 0.64
3 Cityscape Leveler AC—C M 6.21 0.99
4 Titania’s Command S R 6.09 0.72
5 Gix’s Command S R 5.86 0.56
6 Skystrike Officer C—HS R 5.83 0.57
7 Loran of the Third Path LC—HA R 4.92 0.60
8 Wurmcoil Engine AC—PW M 4.88 0.98
9 Hajar, Loyal Bodyguard LC—HS R 4.75 0.84
10 Gix, Yawgmoth Praetor LC—PP M 4.57 0.81
11 Portal to Phyrexia A M 4.55 0.90
12 Skitterbeam Battalion AC—C M 4.44 0.73
13 Misery’s Shadow C—S R 4.36 0.60
14 Saheeli, Filigree Master LP—S M 4.35 1.00
15 Steel Seraph AC—A R 4.05 0.58
16 Precursor Golem AC—G R 4.02 0.88
17 Thopter Mechanic C—HA U 3.60 0.32
18 Skyfisher Spider C—S U 3.53 0.33
19 Harbin, Vanguard Aviator LC—HS R 3.38 0.80
20 Mishra, Claimed by Gix LC—PHA M 3.36 0.97
21 Underground River L R 3.35 0.95
22 Gixian Puppeteer C—PW R 3.34 0.77
23 Arbalest Engineers C—HA U 3.32 0.34
24 Argoth, Sanctum of Nature L R 3.13 0.80
25 Teething Wurmlet C—W R 3.12 0.54
26 Surge Engine AC—C M 3.11 0.95
27 Horned Stoneseeker C—L U 3.10 0.32
28 Static Net E U 3.04 0.25
29 Phyrexian Dragon Engine AC—PD R 3.02 0.58
30 Evangel of Synthesis C—PHC U 3.02 0.31
31 Platoon Dispenser AC—C M 2.97 0.76
32 Simian Simulacrum AC—A R 2.89 0.47
33 Third Path Iconoclast C—HM U 2.79 0.25
34 Titania, Voice of Gaea LC—E M 2.75 0.95
35 Mishra’s Command S R 2.73 0.63
36 The Mightstone and Weakstone LA—P R 2.72 0.81
37 Teferi, Temporal Pilgrim LP—T M 2.67 1.14
38 Hero of the Dunes C—HS U 2.65 0.25
39 Zephyr Sentinel C—HS U 2.64 0.33
40 Ashnod, Flesh Mechanist LC—HA R 2.59 0.69
41 Visions of Phyrexia E R 2.58 0.69
42 Overwhelming Remorse I C 2.55 0.18
43 Feldon, Ronom Excavator LC—HA R 2.47 0.60
44 Recruitment Officer C—HS U 2.43 0.40
45 Obliterating Bolt S U 2.43 0.26
46 Bladecoil Serpent AC—S M 2.39 1.08
47 Moment of Defiance I C 2.38 0.19
48 Ashnod’s Harvester AC—C U 2.38 0.32
49 Phyrexian Fleshgorger AC—PW M 2.36 0.75
50 Autonomous Assembler AC—AW R 2.32 0.67
51 Giant Cindermaw C—DB U 2.32 0.33
52 Blast Zone L R 2.31 0.72
53 Myrel, Shield of Argive LC—HS M 2.22 0.68
54 Draconic Destiny E—A M 2.22 0.76
55 Excavation Explosion S C 2.20 0.16
56 Sardian Cliffstomper C—MB U 2.19 0.49
57 Mazemind Tome A R 2.18 0.69
58 Liberator, Urza’s Battlethopter LAC—T R 2.14 0.76
59 Junkyard Genius C—HA U 2.12 0.29
60 Combat Thresher AC—C U 2.11 0.28
61 Self-Assembler AC—AW U 2.10 0.73
62 Mishra’s Research Desk A U 2.09 0.19
63 Rootwire Amalgam AC—G M 2.09 1.13
64 Queen Kayla bin-Kroog LC—HN R 2.09 0.94
65 Awaken the Woods S M 2.07 0.90
66 Fallaji Archaeologist C—HS C 2.07 0.44
67 Mass Production S U 2.07 0.55
68 Fallaji Vanguard C—HS U 2.05 0.34
69 Obstinate Baloth C—B U 2.01 0.30
70 Fortified Beachhead L R 2.00 0.78
71 Airlift Chaplain C—HC C 2.00 0.17
72 Platinum Angel AC—A M 1.99 1.00
73 Ambush Paratrooper C—HS C 1.97 0.16
74 Argothian Opportunist C—HS C 1.96 0.17
75 Scrapwork Cohort AC—S C 1.95 0.13
76 Legions to Ashes S R 1.95 0.74
77 Monastery Swiftspear C—HM U 1.91 0.38
78 Sundering Titan AC—G M 1.90 1.43
79 Disfigure I C 1.89 0.15
80 Razorlash Transmogrant AC—Z R 1.87 0.89
81 Hall of Tagsin L R 1.85 0.77
82 Tocasia, Dig Site Mentor LC—HA R 1.83 1.34
83 Urza, Prince of Kroog LC—HA R 1.83 0.77
84 Prison Sentence E—A C 1.82 0.18
85 In the Trenches E M 1.79 1.04
86 Scrapwork Mutt AC—D C 1.76 0.14
87 Ravenous Gigamole C—MH C 1.73 0.21
88 Go for the Throat I U 1.73 0.43
89 Gaea’s Gift I C 1.73 0.20
90 Blanchwood Prowler C—E C 1.72 0.25
91 Transmogrant’s Crown A—E R 1.71 0.59
92 Stern Lesson I C 1.70 0.28
93 Yotian Frontliner AC—S U 1.70 0.39
94 Battlefield Forge L R 1.69 0.92
95 Yotian Tactician C—HS U 1.69 0.40
96 Soul Partition I R 1.63 1.15
97 Diabolic Intent S R 1.60 1.27
98 Helm of the Host LA—E M 1.59 0.92
99 Defabricate I U 1.55 1.29
100 Llanowar Wastes L R 1.54 1.14
101 Urza’s Command I R 1.51 0.66
102 Machine Over Matter I C 1.51 0.38
103 Giant Growth I C 1.50 0.30
104 Altar of Dementia A M 1.50 1.07
105 Goblin Blast-Runner C—G C 1.47 0.19
106 Forest BL—F C 1.47 0.02
107 Mishra’s Onslaught I C 1.44 0.48
108 Emergency Weld S C 1.43 0.27
109 Loran’s Escape I C 1.42 0.32
110 Island BL—I C 1.41 0.05
111 Weakstone’s Subjugation E—A C 1.39 0.21
112 Plains BL—P C 1.39 0.03
113 Tawnos’s Tinkering I C 1.38 1.56
114 Koilos Roc C—B C 1.38 0.27
115 Corrupt S U 1.38 0.37
116 Drafna, Founder of Lat-Nam LC—HAA R 1.38 0.78
117 Mishra’s Foundry L R 1.38 0.84
118 Phyrexian Processor A M 1.37 1.08
119 Tomakul Scrapsmith C—HA C 1.34 0.43
120 Unleash Shell I C 1.31 0.18
121 Yotian Dissident C—HA U 1.30 0.30
122 Mightstone’s Animation E—A C 1.30 0.20
123 Ichor Wellspring A U 1.29 0.38
124 Warlord’s Elite C—HS C 1.28 0.22
125 Powerstone Fracture S C 1.28 0.25
126 Blanchwood Armor E—A U 1.28 0.87
127 Sarinth Steelseeker C—HAS U 1.26 0.25
128 Boulderbranch Golem AC—G C 1.25 0.23
129 Mask of the Jadecrafter A U 1.25 0.41
130 Battery Bearer C—HA U 1.23 0.38
131 Lodestone Golem AC—G R 1.23 0.99
132 Argothian Sprite C—F C 1.21 0.16
133 Thraxodemon C—D C 1.20 0.31
134 Bitter Reunion E C 1.20 0.22
135 Combat Courier AC—C C 1.19 0.22
136 Iron-Craw Crusher AC—W U 1.18 0.45
137 Alloy Animist C—HD U 1.17 0.51
138 Brushland L R 1.17 1.09
139 Haywire Mite AC—I U 1.16 0.61
140 Aeronaut’s Wings A—E C 1.15 0.29
141 Adaptive Automaton AC—C R 1.12 1.02
142 Pyrrhic Blast I U 1.12 0.56
143 Evolving Wilds L C 1.11 0.10
144 Penregon Strongbull C—M C 1.11 0.15
145 Scrap Trawler AC—C R 1.10 1.10
146 Sibling Rivalry S C 1.08 0.25
147 Aeronaut Cavalry C—HS C 1.07 0.24
148 Audacity E—A U 1.04 0.34
149 Tocasia’s Onulet AC—C C 1.04 0.40
150 Mountain BL—M C 1.04 0.02
151 Bushwhack S U 1.02 0.34
152 Dreams of Steel and Oil S U 1.00 1.05
153 Hurkyl, Master Wizard LC—HWA R 1.00 0.91
154 Disenchant I C 0.99 0.26
155 Epic Confrontation S C 0.99 0.19
156 Staff of Domination A M 0.95 1.03
157 Urza’s Rebuff I C 0.95 0.72
158 Mishra, Excavation Prodigy LC—HA U 0.94 0.45
159 Thran Spider AC—S R 0.94 0.72
160 Ashnod’s Intervention I C 0.93 0.93
161 Mesmeric Orb A M 0.92 1.73
162 Spotter Thopter AC—T U 0.91 0.35
163 Wing Commando C—HS C 0.91 0.27
164 Keening Stone A R 0.91 0.91
165 Take Flight E—A U 0.91 0.55
166 Gurgling Anointer C—PH U 0.90 0.44
167 Gix’s Caress S C 0.90 0.28
168 Scrapwork Rager AC—PH C 0.90 0.15
169 No One Left Behind S U 0.89 0.56
170 Tocasia’s Welcome E R 0.89 0.83
171 Gnarlroot Pallbearer C—TD C 0.86 0.45
172 Roc Hunter C—HS C 0.86 0.22
173 Desynchronize I C 0.86 0.39
174 Curate I C 0.85 0.28
175 Gixian Infiltrator C—PH C 0.84 0.16
176 Whirling Strike I C 0.84 0.25
177 Powerstone Engineer C—HA C 0.84 0.23
178 Liquimetal Coating A U 0.83 1.52
179 Kayla’s Command S R 0.83 0.68
180 Conscripted Infantry C—HS C 0.83 0.26
181 Perimeter Patrol C—HS C 0.81 0.31
182 Chromatic Star A U 0.81 0.43
183 Key to the City A R 0.80 0.84
184 Foundry Inspector AC—C U 0.79 0.44
185 Runechanter’s Pike A—E R 0.79 1.32
186 Union of the Third Path I C 0.78 1.68
187 Swamp BL—S C 0.77 0.03
188 Clay Champion AC—C M 0.77 0.93
189 Urza, Powerstone Prodigy LC—HA U 0.76 0.39
190 Tomakul Honor Guard C—HS C 0.76 0.26
191 Dwarven Forge-Chanter C—DW C 0.75 0.22
192 Carrion Locust C—IH C 0.72 0.34
193 Citanul Stalwart C—EDS C 0.72 0.28
194 Deadly Riposte I C 0.71 0.48
195 Gnawing Vermin C—R U 0.70 0.54
196 Levitating Statue A U 0.70 0.48
197 Scatter Ray I C 0.70 0.34
198 Mishra’s Juggernaut AC—J C 0.68 0.18
199 Blackblade Reforged LA—E R 0.66 1.46
200 Burrowing Razormaw C—B C 0.66 0.46
201 Phalanx Vanguard C—HS C 0.64 0.18
202 Gwenna, Eyes of Gaea LC—EDS R 0.64 0.59
203 Shoot Down S C 0.64 0.33
204 Kayla’s Reconstruction S R 0.62 0.95
205 Battlefield Butcher C—HS U 0.61 0.49
206 Gruesome Realization S U 0.61 0.55
207 Military Discipline E—A C 0.59 0.27
208 Power Plant Worker AC—AW C 0.58 0.50
209 Flow of Knowledge I U 0.56 1.18
210 Steel Exemplar AC—W U 0.50 0.45
211 Hoarding Recluse C—S C 0.46 0.39
212 Recommission S C 0.45 0.25
213 Trench Stalker C—BH C 0.45 0.30
214 Fauna Shaman C—ES R 0.44 0.82
215 Lay Down Arms S U 0.44 0.47
216 Argivian Avenger AC—S U 0.44 0.52
217 Phyrexian Revoker AC—PH R 0.44 1.16
218 Perennial Behemoth AC—B R 0.42 1.09
219 Air Marshal C—HS C 0.41 0.38
220 Goring Warplow AC—C C 0.39 0.25
221 Tocasia’s Dig Site L C 0.39 0.36
222 Pristine Talisman A U 0.36 0.53
223 Tawnos, the Toymaker LC—HA R 0.36 1.48
224 Goblin Firebomb A C 0.36 0.63
225 Gaea’s Courser C—CS U 0.34 0.50
226 One with the Multiverse E M 0.34 1.39
227 The Temporal Anchor LA R 0.33 0.87
228 Elsewhere Flask A U 0.32 0.43
229 Urza, Lord Protector LC—HA M 0.28 1.08
230 Blitz Automaton AC—C C 0.28 0.25
231 Mishra, Tamer of Mak Fawa LC—HA R 0.27 1.03
232 Loran, Disciple of History LC—HA U 0.25 0.47
233 Chromatic Lantern A R 0.25 1.44
234 Reconstructed Thopter AC—T U 0.25 0.41
235 Hostile Negotiations I R 0.25 0.92
236 Hulking Metamorph AC—S U 0.21 0.45
237 The Stasis Coffin LA R 0.20 2.04
238 Fallaji Chaindancer C—HS C 0.18 0.64
239 Gilded Lotus A R 0.16 1.28
240 Deathbloom Ritualist C—EW R 0.12 0.94
241 Calamity’s Wake I U 0.11 1.87
242 Veteran’s Powerblade A—E C 0.08 0.74
243 Kill-Zone Acrobat C—HS C 0.07 0.28
244 Yotian Medic C—HCS C 0.06 0.44
245 Raze to the Ground S C 0.05 0.47
246 Fateful Handoff S R 0.05 2.15
247 Third Path Savant C—HW C 0.05 0.31
248 Clay Revenant AC—G C 0.04 0.25
249 Involuntary Cooldown S U 0.04 0.71
250 Sculpting Steel A R 0.03 0.91
251 Supply Drop A C 0.02 0.42
252 Survivor of Korlis C—HS C 0.02 0.47
253 Over the Top S R 0.02 1.93
254 Well of Lost Dreams A R 0.02 1.84
255 Defense Grid A R 0.01 2.24
256 Soul-Guide Lantern A U 0.01 0.44
257 Mishra’s Bauble A U -0.01 0.39
258 Brotherhood’s End S R -0.01 0.72
259 Door to Nothingness A R -0.07 1.67
260 Springleaf Drum A U -0.09 0.62
261 Thorn of Amethyst A R -0.09 2.25
262 Mine Worker AC—AW C -0.11 0.43
263 Cradle Clearcutter AC—G U -0.12 0.39
264 Fallaji Dragon Engine AC—D U -0.15 0.55
265 Inspiring Statuary A R -0.15 2.16
266 Forging the Anchor S U -0.15 1.28
267 Coastal Bulwark AC—W C -0.18 0.45
268 Sarinth Greatwurm C—W M -0.20 1.00
269 Transmogrant Altar A U -0.22 0.57
270 Depth Charge Colossus AC—D C -0.24 0.64
271 Mox Amber LA M -0.24 2.18
272 Great Desert Prospector C—HA U -0.24 0.52
273 Retrieval Agent C—HS C -0.26 0.87
274 Journeyer’s Kite A R -0.27 1.70
275 Gixian Skullflayer C—PHA C -0.27 0.35
276 Sword of the Meek A—E R -0.30 1.87
277 Disciples of Gix C—PH U -0.31 1.08
278 Perilous Vault A M -0.34 1.69
279 Sigil of Valor A—E U -0.35 0.55
280 Energy Refractor A C -0.39 0.21
281 Tower Worker AC—AW C -0.41 0.44
282 Repair and Recharge S U -0.41 0.73
283 Heavyweight Demolisher AC—C U -0.43 0.64
284 Lat-Nam Adept C—HW C -0.45 0.41
285 Su-Chi Cave Guard AC—C U -0.48 0.71
286 Keeper of the Cadence C—HW U -0.49 1.49
287 Rust Goliath AC—C C -0.49 0.32
288 Ramos, Dragon Engine LAC—D M -0.53 1.17
289 Dredging Claw A—E C -0.53 1.31
290 Unwinding Clock A R -0.56 1.67
291 Arcane Proxy AC—W M -0.57 1.24
292 Fog of War I C -0.60 1.60
293 Mechanized Warfare E R -0.62 0.88
294 Aetherflux Reservoir A M -0.66 1.80
295 Hurkyl’s Final Meditation I R -0.67 1.99
296 Urza’s Sylex LA M -0.69 1.54
297 Burnished Hart AC—E U -0.69 0.45
298 Stone Retrieval Unit AC—C C -0.70 0.52
299 Mishra’s Domination E—A C -0.81 0.75
300 Howling Mine A R -0.85 1.12
301 Bone Saw A—E U -0.86 0.99
302 Mind’s Eye A M -0.89 1.21
303 The Fall of Kroog S U -0.89 2.12
304 Slagstone Refinery A U -0.95 1.31
305 Terisian Mindbreaker AC—J R -0.96 1.18
306 The Stone Brain LA R -0.96 2.42
307 Astral Cornucopia A R -0.99 1.52
308 Ashnod’s Altar A R -1.01 1.82
309 Arms Race E U -1.04 1.72
310 Meticulous Excavation E U -1.05 1.21
311 Spectrum Sentinel AC—S U -1.15 1.06
312 Fallaji Excavation S U -1.15 0.99
313 Caged Sun A M -1.20 1.42
314 Mystic Forge A M -1.22 1.39
315 Psychosis Crawler AC—PH R -1.24 1.40
316 Demolition Field L U -1.27 1.68
317 Quietus Spike A—E R -1.29 1.58
318 Symmetry Matrix A U -1.37 1.06
319 Wasteful Harvest I C -1.39 1.44
320 Thopter Architect C—HA U -1.45 0.69
321 Cloud Key A R -1.49 1.91
322 Painful Quandary E R -1.61 1.25
323 Quicksilver Amulet A R -1.71 1.64
324 Thran Power Suit A—E U -1.79 1.24
325 Swiftgear Drake AC—D C -1.79 1.12
326 Thran Vigil E U -1.88 1.56
327 Fade from History S R -1.90 1.47
328 Ivory Tower A U -1.91 1.91
329 Goblin Charbelcher A R -1.98 1.63
330 Ornithopter AC—T U -2.12 1.11
331 Swiftfoot Boots A—E U -2.34 0.70
332 Millstone A U -2.34 1.23
333 Semblance Anvil A R -2.44 2.21
334 Jalum Tome A U -2.55 1.08
335 Splitting the Powerstone S U -2.80 1.55

There is a lot of information to digest on this list; I’ll mention a few things that stand out to me:

  • The top of the list is dominated by rare and mythic bombs. This is both unsurprising, and a confirmation that the method is doing what we expect it to. A deck with Titania’s Command would be expected to win about six percent more often than the same deck with a random green card in its stead.
  • Skyfisher Spider is the strongest uncommon, which aligns with what we see in the 17Lands game-in-hand win rate data, but it’s followed closely by Thopter Mechanic, which rewards you for doing something you already want to do (drawing cards).
  • Removal spells such as Overwhelming Remorse, Excavation Explosion, Prison Sentence and Disfigure are among the strongest commons. This is pretty typical, as they don’t really need synergy to do their thing.
  • Moment of Defiance at +2.2 comes as a bit of a surprise to me, but it’s a combat trick which can blow someone out, gain you a good chunk of life and draw a card… which the UB archetype wants you do to.
  • The most damaging card – at least absent some focused synergy – is Splitting the Powerstone. Several of the retro artifacts, likely included for formats other than Limited, are among the worst cards to have in your deck, including everyone’s favorite free spell, Ornithopter.
  • I was surprised by the poor performance of Energy Refractor, but I think its low “strength” coefficient reflects the fact that it really doesn’t do anything for you on its own; you only need it to cast splashes, and even then it’s an expensive way to do so.

Synergy is the means by which “bad” cards become playable and decent cards become strong. The way to think of this measure of returns to synergy is: consider this card in a deck with a “typical” amount of synergy with that card, then consider the card in a deck built to maximize that card – how much more valuable is the card in the latter than in the former? Here is a list of BRO cards, ordered by  their synergy coefficient:

rnk card cost type rarity synergy std_err
1 Third Path Iconoclast C—HM U 1.64 0.29
2 Sardian Cliffstomper C—MB U 1.44 0.32
3 Blanchwood Armor E—A U 1.21 0.41
4 Yotian Tactician C—HS U 1.16 0.26
5 Portal to Phyrexia A M 1.11 0.41
6 Skyfisher Spider C—S U 1.08 0.24
7 Ichor Wellspring A U 1.07 0.23
8 Skitterbeam Battalion AC—C M 1.07 0.35
9 Transmogrant’s Crown A—E R 1.05 0.37
10 Mishra’s Bauble A U 0.98 0.32
11 Repair and Recharge S U 0.97 0.38
12 Arbalest Engineers C—HA U 0.94 0.31
13 The Mightstone and Weakstone LA—P R 0.93 0.33
14 Kayla’s Command S R 0.93 0.45
15 Gruesome Realization S U 0.91 0.28
16 Siege Veteran C—HS R 0.89 0.38
17 Staff of Domination A M 0.88 0.46
18 Mask of the Jadecrafter A U 0.85 0.31
19 Misery’s Shadow C—S R 0.83 0.44
20 Levitating Statue A U 0.82 0.33
21 Hulking Metamorph AC—S U 0.81 0.33
22 Fallaji Archaeologist C—HS C 0.81 0.32
23 Alloy Animist C—HD U 0.81 0.41
24 Urza’s Sylex LA M 0.81 0.50
25 Fallaji Vanguard C—HS U 0.80 0.33
26 Hajar, Loyal Bodyguard LC—HS R 0.79 0.47
27 Goblin Charbelcher A R 0.79 0.53
28 Howling Mine A R 0.78 0.42
29 Retrieval Agent C—HS C 0.78 0.46
30 Steel Exemplar AC—W U 0.78 0.34
31 Urza, Prince of Kroog LC—HA R 0.78 0.45
32 Iron-Craw Crusher AC—W U 0.77 0.27
33 Teferi, Temporal Pilgrim LP—T M 0.77 0.49
34 One with the Multiverse E M 0.76 0.47
35 Quietus Spike A—E R 0.75 0.43
36 Legions to Ashes S R 0.74 0.46
37 Astral Cornucopia A R 0.74 0.49
38 Energy Refractor A C 0.74 0.21
39 Scrap Trawler AC—C R 0.73 0.43
40 Queen Kayla bin-Kroog LC—HN R 0.73 0.51
41 Goblin Blast-Runner C—G C 0.72 0.13
42 Keening Stone A R 0.71 0.39
43 Cityscape Leveler AC—C M 0.71 0.46
44 Gix, Yawgmoth Praetor LC—PP M 0.70 0.37
45 Military Discipline E—A C 0.70 0.28
46 Union of the Third Path I C 0.69 0.42
47 Thopter Architect C—HA U 0.69 0.35
48 Titania, Voice of Gaea LC—E M 0.69 0.46
49 Su-Chi Cave Guard AC—C U 0.69 0.56
50 Soul Partition I R 0.68 0.44
51 No One Left Behind S U 0.68 0.32
52 Phyrexian Dragon Engine AC—PD R 0.67 0.34
53 Myrel, Shield of Argive LC—HS M 0.67 0.40
54 Gix’s Caress S C 0.67 0.21
55 Pyrrhic Blast I U 0.67 0.52
56 Mazemind Tome A R 0.66 0.41
57 Saheeli, Filigree Master LP—S M 0.66 0.43
58 Soul-Guide Lantern A U 0.66 0.37
59 Disciples of Gix C—PH U 0.66 0.38
60 Terisian Mindbreaker AC—J R 0.66 0.48
61 Junkyard Genius C—HA U 0.66 0.34
62 Sundering Titan AC—G M 0.66 0.41
63 Forging the Anchor S U 0.65 0.43
64 Mishra’s Command S R 0.65 0.41
65 Phyrexian Revoker AC—PH R 0.65 0.41
66 Spectrum Sentinel AC—S U 0.64 0.39
67 Thran Power Suit A—E U 0.64 0.46
68 Corrupt S U 0.64 0.25
69 Harbin, Vanguard Aviator LC—HS R 0.64 0.43
70 The Stone Brain LA R 0.64 0.46
71 Precursor Golem AC—G R 0.64 0.42
72 Loran, Disciple of History LC—HA U 0.64 0.37
73 Coastal Bulwark AC—W C 0.63 0.26
74 Sibling Rivalry S C 0.63 0.22
75 Thran Spider AC—S R 0.62 0.43
76 Gix’s Command S R 0.62 0.39
77 Platinum Angel AC—A M 0.61 0.41
78 Rust Goliath AC—C C 0.61 0.21
79 Loran of the Third Path LC—HA R 0.61 0.41
80 Blanchwood Prowler C—E C 0.61 0.20
81 Demolition Field L U 0.60 0.48
82 Argivian Avenger AC—S U 0.60 0.35
83 Fallaji Excavation S U 0.60 0.38
84 Surge Engine AC—C M 0.60 0.42
85 Teething Wurmlet C—W R 0.60 0.43
86 Mesmeric Orb A M 0.60 0.46
87 Perilous Vault A M 0.60 0.49
88 Caged Sun A M 0.60 0.40
89 Well of Lost Dreams A R 0.59 0.43
90 Evangel of Synthesis C—PHC U 0.59 0.31
91 Slagstone Refinery A U 0.59 0.46
92 Unwinding Clock A R 0.58 0.45
93 Draconic Destiny E—A M 0.58 0.35
94 Desynchronize I C 0.58 0.32
95 Yotian Dissident C—HA U 0.58 0.29
96 Tawnos’s Tinkering I C 0.58 0.50
97 Quicksilver Amulet A R 0.58 0.51
98 Urza, Lord Protector LC—HA M 0.57 0.48
99 Lodestone Golem AC—G R 0.57 0.44
100 Gnarlroot Pallbearer C—TD C 0.57 0.35
101 Psychosis Crawler AC—PH R 0.57 0.47
102 Fauna Shaman C—ES R 0.57 0.40
103 Fallaji Dragon Engine AC—D U 0.57 0.50
104 Phyrexian Processor A M 0.57 0.40
105 The Fall of Kroog S U 0.57 0.51
106 Fade from History S R 0.57 0.51
107 Hero of the Dunes C—HS U 0.57 0.29
108 Mystic Forge A M 0.57 0.47
109 Fateful Handoff S R 0.57 0.51
110 Chromatic Star A U 0.56 0.33
111 In the Trenches E M 0.56 0.50
112 Argoth, Sanctum of Nature L R 0.56 0.44
113 Visions of Phyrexia E R 0.56 0.35
114 Static Net E U 0.56 0.22
115 Self-Assembler AC—AW U 0.56 0.38
116 Warlord’s Elite C—HS C 0.56 0.17
117 Defabricate I U 0.56 0.52
118 Ashnod’s Harvester AC—C U 0.56 0.24
119 Arms Race E U 0.56 0.57
120 Mishra, Excavation Prodigy LC—HA U 0.55 0.42
121 Symmetry Matrix A U 0.55 0.48
122 Sword of the Meek A—E R 0.55 0.43
123 Cloud Key A R 0.55 0.52
124 Deathbloom Ritualist C—EW R 0.55 0.51
125 Horned Stoneseeker C—L U 0.54 0.21
126 Tomakul Scrapsmith C—HA C 0.54 0.32
127 Tocasia, Dig Site Mentor LC—HA R 0.54 0.45
128 Burrowing Razormaw C—B C 0.54 0.27
129 Mind’s Eye A M 0.54 0.46
130 Journeyer’s Kite A R 0.54 0.48
131 Rootwire Amalgam AC—G M 0.54 0.42
132 Audacity E—A U 0.54 0.26
133 Sculpting Steel A R 0.53 0.46
134 Dredging Claw A—E C 0.53 0.49
135 Millstone A U 0.53 0.39
136 Go for the Throat I U 0.53 0.34
137 Titania’s Command S R 0.53 0.45
138 Semblance Anvil A R 0.53 0.54
139 Awaken the Woods S M 0.53 0.47
140 Adaptive Automaton AC—C R 0.53 0.47
141 Splitting the Powerstone S U 0.53 0.49
142 Bone Saw A—E U 0.53 0.37
143 Gaea’s Courser C—CS U 0.53 0.38
144 Swiftfoot Boots A—E U 0.52 0.47
145 Mishra’s Domination E—A C 0.52 0.41
146 Ornithopter AC—T U 0.52 0.45
147 Burnished Hart AC—E U 0.52 0.36
148 Aetherflux Reservoir A M 0.52 0.40
149 Arcane Proxy AC—W M 0.51 0.38
150 Jalum Tome A U 0.51 0.44
151 Bitter Reunion E C 0.51 0.18
152 Diabolic Intent S R 0.51 0.41
153 Stern Lesson I C 0.51 0.20
154 Skystrike Officer C—HS R 0.50 0.38
155 Brotherhood’s End S R 0.50 0.44
156 Inspiring Statuary A R 0.50 0.53
157 Flow of Knowledge I U 0.50 0.52
158 Door to Nothingness A R 0.50 0.42
159 Clay Champion AC—C M 0.49 0.48
160 Over the Top S R 0.49 0.51
161 Autonomous Assembler AC—AW R 0.49 0.39
162 Perennial Behemoth AC—B R 0.49 0.46
163 Mishra, Tamer of Mak Fawa LC—HA R 0.49 0.46
164 Fog of War I C 0.49 0.50
165 Springleaf Drum A U 0.49 0.41
166 Hostile Negotiations I R 0.49 0.39
167 Ivory Tower A U 0.49 0.44
168 Penregon Strongbull C—M C 0.48 0.14
169 Altar of Dementia A M 0.48 0.38
170 Ramos, Dragon Engine LAC—D M 0.48 0.40
171 Wurmcoil Engine AC—PW M 0.48 0.42
172 Razorlash Transmogrant AC—Z R 0.47 0.38
173 Air Marshal C—HS C 0.47 0.28
174 Runechanter’s Pike A—E R 0.47 0.51
175 Mox Amber LA M 0.47 0.44
176 Tocasia’s Onulet AC—C C 0.47 0.36
177 Powerstone Fracture S C 0.47 0.15
178 Obliterating Bolt S U 0.46 0.27
179 Liberator, Urza’s Battlethopter LAC—T R 0.46 0.35
180 Mechanized Warfare E R 0.46 0.43
181 Goring Warplow AC—C C 0.46 0.22
182 Painful Quandary E R 0.46 0.42
183 Defense Grid A R 0.46 0.55
184 Ashnod’s Intervention I C 0.46 0.49
185 Hoarding Recluse C—S C 0.46 0.30
186 Tower Worker AC—AW C 0.46 0.35
187 Haywire Mite AC—I U 0.45 0.34
188 Wasteful Harvest I C 0.45 0.52
189 Blackblade Reforged LA—E R 0.45 0.46
190 Stone Retrieval Unit AC—C C 0.44 0.25
191 Tocasia’s Welcome E R 0.44 0.34
192 Elsewhere Flask A U 0.44 0.36
193 Gilded Lotus A R 0.44 0.44
194 Mightstone’s Animation E—A C 0.44 0.19
195 Goblin Firebomb A C 0.44 0.39
196 Ashnod’s Altar A R 0.44 0.48
197 Keeper of the Cadence C—HW U 0.44 0.43
198 Transmogrant Altar A U 0.44 0.38
199 Liquimetal Coating A U 0.44 0.46
200 Thopter Mechanic C—HA U 0.43 0.26
201 Gixian Infiltrator C—PH C 0.43 0.24
202 Trench Stalker C—BH C 0.43 0.23
203 Recommission S C 0.43 0.27
204 Kill-Zone Acrobat C—HS C 0.43 0.23
205 Bladecoil Serpent AC—S M 0.43 0.41
206 Battlefield Forge L R 0.43 0.43
207 Aeronaut’s Wings A—E C 0.43 0.32
208 Perimeter Patrol C—HS C 0.43 0.23
209 Urza’s Command I R 0.42 0.48
210 Heavyweight Demolisher AC—C U 0.42 0.34
211 Pristine Talisman A U 0.42 0.35
212 Blitz Automaton AC—C C 0.42 0.16
213 Blast Zone L R 0.41 0.45
214 Sarinth Steelseeker C—HAS U 0.41 0.27
215 Mishra’s Foundry L R 0.41 0.44
216 Phalanx Vanguard C—HS C 0.40 0.16
217 Tawnos, the Toymaker LC—HA R 0.39 0.46
218 Key to the City A R 0.39 0.44
219 Drafna, Founder of Lat-Nam LC—HAA R 0.39 0.46
220 Meticulous Excavation E U 0.39 0.53
221 Gixian Puppeteer C—PW R 0.39 0.40
222 Hurkyl’s Final Meditation I R 0.39 0.57
223 Gaea’s Gift I C 0.38 0.17
224 Dwarven Forge-Chanter C—DW C 0.38 0.16
225 Sarinth Greatwurm C—W M 0.38 0.56
226 Scrapwork Cohort AC—S C 0.38 0.11
227 Depth Charge Colossus AC—D C 0.38 0.39
228 Supply Drop A C 0.37 0.31
229 Calamity’s Wake I U 0.37 0.50
230 Platoon Dispenser AC—C M 0.37 0.37
231 Lay Down Arms S U 0.37 0.45
232 Gurgling Anointer C—PH U 0.37 0.23
233 Foundry Inspector AC—C U 0.37 0.32
234 Swiftgear Drake AC—D C 0.37 0.49
235 Thorn of Amethyst A R 0.36 0.51
236 Mishra’s Onslaught I C 0.36 0.30
237 Fallaji Chaindancer C—HS C 0.36 0.41
238 Veteran’s Powerblade A—E C 0.35 0.39
239 Brushland L R 0.35 0.48
240 Steel Seraph AC—A R 0.35 0.46
241 Deadly Riposte I C 0.35 0.29
242 Giant Cindermaw C—DB U 0.34 0.21
243 Excavation Explosion S C 0.34 0.13
244 The Stasis Coffin LA R 0.34 0.43
245 Feldon, Ronom Excavator LC—HA R 0.34 0.39
246 Dreams of Steel and Oil S U 0.34 0.47
247 Urza’s Rebuff I C 0.34 0.44
248 Gwenna, Eyes of Gaea LC—EDS R 0.33 0.33
249 Mishra’s Research Desk A U 0.33 0.29
250 Helm of the Host LA—E M 0.32 0.42
251 Roc Hunter C—HS C 0.32 0.23
252 Kayla’s Reconstruction S R 0.31 0.36
253 Underground River L R 0.31 0.39
254 Fortified Beachhead L R 0.31 0.41
255 Sigil of Valor A—E U 0.30 0.37
256 Wing Commando C—HS C 0.30 0.23
257 Thran Vigil E U 0.30 0.52
258 Obstinate Baloth C—B U 0.30 0.28
259 Loran’s Escape I C 0.30 0.33
260 Llanowar Wastes L R 0.30 0.48
261 Take Flight E—A U 0.29 0.29
262 Involuntary Cooldown S U 0.29 0.38
263 Mishra, Claimed by Gix LC—PHA M 0.29 0.41
264 Zephyr Sentinel C—HS U 0.28 0.24
265 Gixian Skullflayer C—PHA C 0.28 0.28
266 Tyrant of Kher Ridges C—D R 0.27 0.43
267 Hall of Tagsin L R 0.27 0.42
268 Powerstone Engineer C—HA C 0.27 0.23
269 Hurkyl, Master Wizard LC—HWA R 0.27 0.40
270 Spotter Thopter AC—T U 0.26 0.36
271 Reconstructed Thopter AC—T U 0.26 0.22
272 Gnawing Vermin C—R U 0.25 0.33
273 Shoot Down S C 0.25 0.21
274 The Temporal Anchor LA R 0.25 0.51
275 Unleash Shell I C 0.25 0.13
276 Giant Growth I C 0.24 0.21
277 Simian Simulacrum AC—A R 0.24 0.35
278 Ashnod, Flesh Mechanist LC—HA R 0.24 0.34
279 Great Desert Prospector C—HA U 0.24 0.40
280 Scrapwork Mutt AC—D C 0.24 0.15
281 Raze to the Ground S C 0.23 0.31
282 Airlift Chaplain C—HC C 0.23 0.14
283 Yotian Frontliner AC—S U 0.22 0.32
284 Combat Thresher AC—C U 0.22 0.26
285 Tomakul Honor Guard C—HS C 0.20 0.24
286 Overwhelming Remorse I C 0.20 0.14
287 Monastery Swiftspear C—HM U 0.20 0.23
288 Evolving Wilds L C 0.20 0.24
289 Mishra’s Juggernaut AC—J C 0.19 0.18
290 Yotian Medic C—HCS C 0.17 0.27
291 Curate I C 0.16 0.31
292 Combat Courier AC—C C 0.15 0.14
293 Lat-Nam Adept C—HW C 0.15 0.23
294 Argothian Sprite C—F C 0.14 0.18
295 Aeronaut Cavalry C—HS C 0.13 0.20
296 Cradle Clearcutter AC—G U 0.13 0.41
297 Tocasia’s Dig Site L C 0.13 0.34
298 Koilos Roc C—B C 0.13 0.31
299 Scrapwork Rager AC—PH C 0.12 0.17
300 Boulderbranch Golem AC—G C 0.12 0.13
301 Whirling Strike I C 0.11 0.19
302 Citanul Stalwart C—EDS C 0.11 0.22
303 Disfigure I C 0.10 0.14
304 Ravenous Gigamole C—MH C 0.09 0.22
305 Survivor of Korlis C—HS C 0.09 0.27
306 Prison Sentence E—A C 0.09 0.17
307 Thraxodemon C—D C 0.09 0.20
308 Battery Bearer C—HA U 0.09 0.35
309 Urza, Powerstone Prodigy LC—HA U 0.08 0.36
310 Battlefield Butcher C—HS U 0.07 0.37
311 Mass Production S U 0.07 0.34
312 Recruitment Officer C—HS U 0.07 0.23
313 Scatter Ray I C 0.06 0.21
314 Weakstone’s Subjugation E—A C 0.05 0.18
315 Bushwhack S U 0.05 0.32
316 Phyrexian Fleshgorger AC—PW M 0.04 0.49
317 Argothian Opportunist C—HS C 0.04 0.12
318 Machine Over Matter I C 0.03 0.22
319 Epic Confrontation S C 0.02 0.25
320 Conscripted Infantry C—HS C 0.01 0.26
321 Power Plant Worker AC—AW C 0.00 0.34
322 Carrion Locust C—IH C -0.03 0.29
323 Chromatic Lantern A R -0.05 0.50
324 Mine Worker AC—AW C -0.07 0.29
325 Clay Revenant AC—G C -0.07 0.28
326 Third Path Savant C—HW C -0.09 0.34
327 Plains BL—P C -0.12 0.03
328 Moment of Defiance I C -0.14 0.21
329 Emergency Weld S C -0.15 0.22
330 Ambush Paratrooper C—HS C -0.17 0.16
331 Swamp BL—S C -0.18 0.03
332 Disenchant I C -0.21 0.22
333 Forest BL—F C -0.27 0.03
334 Mountain BL—M C -0.29 0.02
335 Island BL—I C -0.33 0.03
  • Third Path Iconoclast brings the highest returns to synergy, and its strength coefficient is substantial, making it the best uncommon signpost in the set.
  • Most of the rest of the names on top of this synergy list are obvious build-arounds: Sardian Cliffstomper and Blanchwood Armor just want you to have a lot of Mountains and Forests. Yotian Tactician, Arbalest Engineers and Skyfisher Spider are #2CUDS. Ichor Wellspring and Transmogrant’s Crown are vastly improved if you have ways of sacrificing specific types of permanents. etc.

If you’re curious about how well one of your decks stacks up by these metrics, I have updated my Expected Win Rate Calculator to work for BRO. It should be fairly self-explanatory, but I’ve also written up how to use and interpret it here.

Adjusted Turns Added

It’s possible to take the model that estimates Adjusted Win Rate, and apply it to learning how each card either shortens or elongates games. This is a little more nuanced than simply looking at the average turn length of games in which each card appears. Such an approach is too correlation driven – in a format with a frequently-played WU control archetype, Islands and Plains will have a relatively high average game length, even though Islands and Plains themselves aren’t meaningfully pushing the pace of the game. The “Adjusted” part of Adjusted Turns Added is a means by which I statistically “control for” each card in each deck – so the basic lands, for example, aren’t unduly influenced by their co-occurrence with particularly aggressive or attrition-based archetypes.

Looking at the list should again be illustrative:

card cost rarity category ATA SE mean_turns
Urza’s Sylex M sweeper 0.75 0.14 10.44
Perilous Vault M sweeper 0.66 0.11 10.49
Aetherflux Reservoir M lifegain 0.58 0.24 11.06
Hoarding Recluse C 0.58 0.03 10.22
Journeyer’s Kite R 0.53 0.12 10.27
Yotian Medic C 0.53 0.02 9.75
Union of the Third Path C lifegain 0.51 0.09 10.56
Deadly Riposte C lifegain 0.49 0.03 9.88
Platinum Angel M evasion 0.48 0.07 10.00
Legions to Ashes R 0.47 0.06 10.05
Boulderbranch Golem C lifegain 0.47 0.02 9.98
Brotherhood’s End R sweeper 0.45 0.07 9.49
Coastal Bulwark C 0.45 0.02 10.04
Haywire Mite U lifegain 0.44 0.05 9.96
Skyfisher Spider U lifegain 0.44 0.02 10.17
Hurkyl’s Final Meditation R sweeper 0.43 0.19 10.59
Fade from History R sweeper 0.43 0.12 10.13
Defabricate U 0.43 0.06 9.86
Tocasia, Dig Site Mentor R recursion 0.42 0.10 10.01
Drafna, Founder of Lat-Nam R 0.42 0.05 9.76
Perennial Behemoth R recursion 0.41 0.05 10.09
Awaken the Woods M 0.41 0.08 9.96
Pristine Talisman U lifegain 0.41 0.04 10.00
Scatter Ray C 0.40 0.03 9.69
Static Net U lifegain 0.40 0.03 9.60
Wasteful Harvest C 0.39 0.09 10.34
Urza’s Rebuff C 0.39 0.04 9.71
Tower Worker C 0.39 0.03 10.06
Obstinate Baloth U lifegain 0.39 0.03 9.81
Goring Warplow C 0.39 0.02 10.02
The Fall of Kroog U sweeper 0.38 0.16 9.37
Battlefield Forge R 0.38 0.06 9.34
Loran, Disciple of History U recursion 0.38 0.04 9.73
Rust Goliath C 0.37 0.03 10.03
Shoot Down C removal 0.37 0.04 9.88
Weakstone’s Subjugation C 0.37 0.02 9.58
Overwhelming Remorse C removal 0.37 0.02 9.89
Keeper of the Cadence U recursion 0.36 0.09 10.16
Sarinth Greatwurm M 0.36 0.07 9.67
Jalum Tome U 0.36 0.08 9.97
Lay Down Arms U lifegain 0.36 0.03 9.54
Go for the Throat U removal 0.36 0.04 9.88
Obliterating Bolt U removal 0.36 0.03 9.21
Powerstone Fracture C removal 0.36 0.01 9.75
Thran Spider R 0.35 0.05 9.75
Fallaji Archaeologist C 0.35 0.03 9.70
Hurkyl, Master Wizard R 0.34 0.05 9.63
Burnished Hart U 0.34 0.03 9.93
Third Path Savant C 0.34 0.03 9.78
Prison Sentence C 0.34 0.02 9.48
Staff of Domination M lifegain 0.33 0.09 10.04
Fauna Shaman R 0.33 0.06 9.89
Goblin Firebomb C removal 0.33 0.03 9.76
Cradle Clearcutter U 0.33 0.03 10.04
Raze to the Ground C removal 0.33 0.05 9.19
Mine Worker C lifegain 0.33 0.04 9.86
Clay Revenant C recursion 0.33 0.03 9.82
Deathbloom Ritualist R 0.32 0.07 10.36
Retrieval Agent C 0.32 0.07 9.52
Ashnod, Flesh Mechanist R 0.32 0.06 9.82
Desynchronize C 0.32 0.02 9.51
Battlefield Butcher U 0.32 0.03 10.00
Conscripted Infantry C 0.32 0.04 9.13
Dreams of Steel and Oil U 0.31 0.04 9.90
Mazemind Tome R lifegain 0.31 0.05 9.67
Su-Chi Cave Guard U 0.31 0.04 9.89
Depth Charge Colossus C 0.31 0.04 9.90
Fallaji Chaindancer C 0.31 0.03 9.10
Corrupt U lifegain 0.31 0.03 10.01
Urza, Powerstone Prodigy U 0.31 0.05 9.75
Gnawing Vermin U removal 0.31 0.04 9.89
Trench Stalker C 0.31 0.02 9.85
Kayla’s Reconstruction R 0.30 0.08 9.42
Soul Partition R removal 0.30 0.07 9.38
Queen Kayla bin-Kroog R 0.30 0.06 9.17
No One Left Behind U recursion 0.30 0.04 10.00
Machine Over Matter C removal 0.30 0.02 9.34
Gixian Skullflayer C 0.30 0.02 10.05
Mask of the Jadecrafter U recursion 0.30 0.02 9.75
Disenchant C removal 0.30 0.01 9.47
Thraxodemon C 0.30 0.02 9.76
Arcane Proxy M 0.29 0.06 9.73
Disciples of Gix U 0.29 0.07 9.95
Blast Zone R sweeper 0.29 0.07 9.78
Repair and Recharge U recursion 0.29 0.05 9.89
Tocasia’s Onulet C lifegain 0.29 0.03 9.69
Spotter Thopter U 0.29 0.03 9.67
Stone Retrieval Unit C 0.29 0.04 9.83
Unleash Shell C removal 0.29 0.03 9.03
Emergency Weld C recursion 0.29 0.02 9.82
Mystic Forge M 0.28 0.13 9.91
Mind’s Eye M 0.28 0.10 9.76
Underground River R 0.28 0.09 9.74
Brushland R 0.28 0.07 9.74
Fallaji Dragon Engine U 0.28 0.03 9.34
Lat-Nam Adept C 0.28 0.02 9.64
Ravenous Gigamole C 0.28 0.02 9.92
Wurmcoil Engine M 0.27 0.06 9.64
Mishra, Tamer of Mak Fawa R recursion 0.27 0.07 9.48
Argoth, Sanctum of Nature R 0.27 0.04 9.83
Mass Production U 0.27 0.04 9.37
Thopter Architect U 0.27 0.05 9.55
Gix’s Caress C 0.27 0.03 9.84
Powerstone Engineer C 0.27 0.02 9.54
Roc Hunter C 0.27 0.02 8.96
Disfigure C removal 0.27 0.02 9.77
Door to Nothingness R 0.26 0.18 10.19
Tawnos, the Toymaker R 0.26 0.11 9.99
Sword of the Meek R recursion 0.26 0.13 9.30
Swiftgear Drake C recursion 0.26 0.07 9.72
Keening Stone R 0.26 0.07 9.98
Heavyweight Demolisher U recursion 0.26 0.04 9.35
Gix’s Command R sweeper 0.26 0.03 9.80
Survivor of Korlis C 0.26 0.02 9.23
Foundry Inspector U 0.26 0.04 9.62
Sarinth Steelseeker U 0.26 0.02 9.75
Tomakul Honor Guard C 0.26 0.02 9.45
Moment of Defiance C 0.26 0.02 9.75
Recommission C recursion 0.26 0.02 9.34
Dwarven Forge-Chanter C 0.26 0.02 8.96
Energy Refractor C 0.26 0.03 9.50
Excavation Explosion C 0.26 0.03 9.11
Lodestone Golem R 0.25 0.08 9.49
Scrap Trawler R recursion 0.25 0.06 9.52
Phyrexian Fleshgorger M 0.25 0.05 9.75
Tocasia’s Welcome R 0.25 0.05 9.45
Mishra’s Command R removal 0.25 0.03 9.14
Pyrrhic Blast U 0.25 0.03 9.09
Gaea’s Courser U 0.25 0.03 9.85
Tomakul Scrapsmith C 0.25 0.02 9.18
Curate C 0.25 0.03 9.47
Gurgling Anointer U recursion 0.25 0.03 9.77
Third Path Iconoclast U 0.25 0.02 9.08
Scrapwork Cohort C recursion 0.25 0.02 9.31
Tawnos’s Tinkering C 0.24 0.10 9.65
Quietus Spike R attack 0.24 0.09 9.53
Goblin Charbelcher R 0.24 0.09 9.26
Urza, Lord Protector M 0.24 0.12 9.68
Symmetry Matrix U 0.24 0.07 9.62
Urza, Prince of Kroog R 0.24 0.04 9.65
Gixian Puppeteer R lifegain 0.24 0.04 9.71
Loran of the Third Path R removal 0.24 0.05 9.47
Mishra, Excavation Prodigy U 0.24 0.07 9.18
Battery Bearer U 0.24 0.03 9.92
Tocasia’s Dig Site C 0.24 0.02 9.74
Combat Thresher U 0.24 0.03 9.47
Gixian Infiltrator C 0.24 0.02 9.52
Epic Confrontation C removal 0.24 0.02 9.65
Combat Courier C recursion 0.24 0.03 9.41
Penregon Strongbull C 0.24 0.03 8.95
Ivory Tower U lifegain 0.23 0.15 9.96
Flow of Knowledge U 0.23 0.05 9.70
Ashnod’s Intervention C recursion 0.23 0.06 9.60
Hall of Tagsin R 0.23 0.06 9.72
Swiftfoot Boots U 0.23 0.04 9.63
Self-Assembler U 0.23 0.05 9.78
Visions of Phyrexia R 0.23 0.04 9.09
Bushwhack U removal 0.23 0.04 9.76
Air Marshal C 0.23 0.02 9.23
Citanul Stalwart C 0.23 0.02 9.61
Warlord’s Elite C 0.23 0.02 9.29
Fog of War C lifegain 0.22 0.16 10.25
Sundering Titan M removal 0.22 0.07 9.82
Portal to Phyrexia M recursion 0.22 0.06 9.86
Fortified Beachhead R 0.22 0.05 9.40
Great Desert Prospector U 0.22 0.04 9.64
Loran’s Escape C 0.22 0.02 9.24
Koilos Roc C 0.22 0.02 9.57
Perimeter Patrol C 0.22 0.02 9.53
Argothian Sprite C evasion 0.22 0.01 9.61
Scrapwork Mutt C recursion 0.22 0.01 9.12
Unwinding Clock R 0.21 0.19 10.06
Well of Lost Dreams R 0.21 0.22 10.41
Dredging Claw C evasion 0.21 0.09 9.62
Gilded Lotus R 0.21 0.10 9.98
Rootwire Amalgam M 0.21 0.06 9.77
The Temporal Anchor R 0.21 0.08 9.70
The Mightstone and Weakstone R removal 0.21 0.05 9.60
Transmogrant Altar U 0.21 0.05 9.57
Gruesome Realization U sweeper 0.21 0.04 9.86
Elsewhere Flask U 0.21 0.04 9.40
Blanchwood Prowler C 0.21 0.02 9.77
Phalanx Vanguard C 0.21 0.01 9.21
Stern Lesson C 0.21 0.02 9.47
Scrapwork Rager C recursion 0.21 0.02 9.75
Argothian Opportunist C 0.21 0.02 9.67
Ornithopter U evasion 0.20 0.08 9.28
Fallaji Excavation U lifegain 0.20 0.06 9.97
Kayla’s Command R lifegain 0.20 0.06 9.38
Involuntary Cooldown U 0.20 0.04 9.17
Zephyr Sentinel U 0.20 0.03 9.29
Thopter Mechanic U 0.20 0.02 9.40
Gaea’s Gift C 0.20 0.03 9.46
Plains C 0.20 0.00 9.39
Inspiring Statuary R 0.19 0.21 9.63
Terisian Mindbreaker R 0.19 0.08 9.82
Saheeli, Filigree Master M 0.19 0.08 9.32
Gwenna, Eyes of Gaea R 0.19 0.05 9.77
Teething Wurmlet R lifegain 0.19 0.04 9.59
Phyrexian Dragon Engine R recursion 0.19 0.04 9.26
Sardian Cliffstomper U 0.19 0.03 8.70
Power Plant Worker C 0.19 0.03 9.83
Hulking Metamorph U 0.19 0.04 9.54
Burrowing Razormaw C 0.19 0.02 9.62
Arbalest Engineers U 0.19 0.02 9.16
Soul-Guide Lantern U 0.19 0.01 9.30
Ichor Wellspring U 0.19 0.04 9.38
Recruitment Officer U 0.19 0.04 9.22
Mishra’s Research Desk U recursion 0.19 0.03 8.96
Evolving Wilds C 0.19 0.03 9.47
Swamp C 0.19 0.01 9.76
The Stone Brain R 0.18 0.24 10.23
Demolition Field U removal 0.18 0.16 9.59
Millstone U 0.18 0.10 9.92
Diabolic Intent R 0.18 0.11 9.75
Titania, Voice of Gaea M lifegain 0.18 0.07 9.64
Mishra’s Onslaught C 0.18 0.04 8.90
Supply Drop C 0.18 0.03 9.07
Iron-Craw Crusher U 0.18 0.02 9.65
Kill-Zone Acrobat C 0.18 0.02 9.34
Aeronaut Cavalry C 0.18 0.02 9.17
Forest C 0.18 0.00 9.69
Mountain C 0.18 0.00 9.04
Meticulous Excavation U 0.17 0.07 9.63
Urza’s Command R 0.17 0.05 9.43
Tyrant of Kher Ridges R 0.17 0.03 9.17
Springleaf Drum U 0.17 0.02 9.34
Yotian Tactician U 0.17 0.03 9.15
Evangel of Synthesis U 0.17 0.03 9.67
Hero of the Dunes U recursion 0.17 0.03 9.62
Chromatic Star U 0.17 0.05 9.32
Bitter Reunion C 0.17 0.03 8.81
Ambush Paratrooper C 0.17 0.02 9.18
Airlift Chaplain C 0.17 0.02 9.28
Island C 0.17 0.00 9.47
Fateful Handoff R 0.16 0.25 10.18
Chromatic Lantern R 0.16 0.12 9.72
Spectrum Sentinel U lifegain 0.16 0.06 9.15
Argivian Avenger U 0.16 0.03 9.58
Steel Exemplar U 0.16 0.04 9.45
Gnarlroot Pallbearer C 0.16 0.04 9.76
Mishra’s Bauble U 0.16 0.04 9.21
Military Discipline C 0.16 0.03 8.96
Cloud Key R 0.15 0.18 9.93
Liquimetal Coating U 0.15 0.12 9.40
Clay Champion M 0.15 0.06 9.48
Mishra’s Foundry R 0.15 0.07 9.48
Reconstructed Thopter U recursion 0.15 0.02 9.22
Giant Growth C 0.15 0.03 9.33
Splitting the Powerstone U 0.14 0.14 9.46
Psychosis Crawler R 0.14 0.11 9.51
Howling Mine R 0.14 0.08 9.56
Llanowar Wastes R 0.14 0.08 9.95
Liberator, Urza’s Battlethopter R 0.14 0.03 9.43
Carrion Locust C 0.14 0.03 9.75
Ashnod’s Harvester U recursion 0.14 0.02 9.44
Blitz Automaton C 0.14 0.02 8.99
Whirling Strike C 0.14 0.02 8.77
One with the Multiverse M 0.13 0.13 9.85
Painful Quandary R 0.13 0.10 9.86
Platoon Dispenser M recursion 0.13 0.06 9.41
Veteran’s Powerblade C 0.13 0.05 9.14
Autonomous Assembler R 0.13 0.04 9.43
Fallaji Vanguard U 0.13 0.03 8.89
Giant Cindermaw U 0.13 0.02 8.87
Mishra’s Juggernaut C recursion 0.13 0.03 8.97
Mightstone’s Animation C 0.13 0.01 9.27
Ashnod’s Altar R 0.12 0.19 9.41
Astral Cornucopia R 0.12 0.11 9.84
Altar of Dementia M 0.12 0.08 9.61
Sculpting Steel R 0.12 0.07 9.62
Mechanized Warfare R 0.12 0.05 8.84
Skystrike Officer R 0.12 0.04 9.32
Sigil of Valor U 0.12 0.05 9.22
Monastery Swiftspear U 0.12 0.03 8.72
Junkyard Genius U evasion 0.12 0.02 9.12
Wing Commando C 0.12 0.01 9.18
Thorn of Amethyst R 0.11 0.30 11.44
Phyrexian Revoker R 0.11 0.07 9.43
Helm of the Host M 0.11 0.07 9.51
Alloy Animist U 0.11 0.04 9.45
Sibling Rivalry C 0.11 0.02 8.96
Goblin Blast-Runner C 0.11 0.01 8.69
Cityscape Leveler M recursion 0.10 0.05 9.57
Mishra’s Domination C 0.10 0.04 8.59
Transmogrant’s Crown R 0.10 0.04 9.37
Mishra, Claimed by Gix M lifegain 0.09 0.07 9.20
Precursor Golem R 0.09 0.04 9.36
Simian Simulacrum R recursion 0.09 0.05 9.38
Runechanter’s Pike R 0.08 0.08 9.24
Ramos, Dragon Engine M 0.08 0.07 9.47
Teferi, Temporal Pilgrim M sweeper 0.08 0.06 9.52
Razorlash Transmogrant R recursion 0.08 0.06 9.54
Levitating Statue