listed card	number of times Ball Lightning offered in card rewards while listed card in deck	mean model score change when listed card is removed	# times removing listed card causes model to skip Ball Lightning	# times removing listed card causes model to take Ball Lightning
Thunder Strike	534	10.7 ± 0.5	95	0
Bullseye+1	340	6.8 ± 0.4	34	0
Bullseye	1133	5.4 ± 0.2	68	1
Barrage	1619	5.0 ± 0.2	94	4
Rip and Tear+1	284	3.7 ± 0.4	14	0
Melter	1871	3.6 ± 0.1	89	8
Dualcast	27713	3.3 ± 0.0	903	169
Charge Battery	5023	3.3 ± 0.1	185	4
Strike	31129	3.1 ± 0.0	1115	23
Melter+1	220	3.0 ± 0.4	7	0
Cold Snap	7507	2.9 ± 0.1	246	27
Strike+1	2580	2.7 ± 0.1	94	5
Ritual Dagger	66	2.7 ± 0.6	2	0
Auto-Shields+1	130	2.5 ± 0.6	3	0
Leap	2807	2.4 ± 0.1	80	19
Rip and Tear	1069	2.4 ± 0.2	38	10
Stack	561	2.2 ± 0.4	27	15
Hello World	418	2.2 ± 0.4	17	5
Sweeping Beam	3455	1.9 ± 0.1	75	29
Rebound	1658	1.8 ± 0.2	41	18
Writhe	149	1.7 ± 0.4	6	0
Stack+1	135	1.7 ± 0.5	4	1
Compile Driver	2749	1.6 ± 0.1	68	44
Static Discharge	1413	1.5 ± 0.2	38	24
Zap+1	9765	1.4 ± 0.1	230	58
Auto-Shields	992	1.4 ± 0.2	30	8
Compile Driver+1	309	1.4 ± 0.4	7	3
Biased Cognition	1326	1.3 ± 0.1	21	12
Dualcast+1	4186	1.3 ± 0.1	128	61
Boot Sequence+1	135	1.3 ± 0.4	5	0
Thunder Strike+1	85	1.1 ± 0.6	3	1
Cold Snap+1	617	1.1 ± 0.2	9	6
Steam Barrier	1596	1.0 ± 0.2	44	23
Decay	205	0.8 ± 0.5	4	4
Seek+1	267	0.7 ± 0.3	4	2
Loop+1	1376	0.7 ± 0.2	21	23
Sweeping Beam+1	885	0.6 ± 0.2	22	17
Curse of the Bell	438	0.5 ± 0.2	8	3
Boot Sequence	1746	0.5 ± 0.1	32	26
Capacitor+1	869	0.5 ± 0.3	20	10
Bite	135	0.4 ± 0.2	1	1
Charge Battery+1	651	0.4 ± 0.2	9	5
Loop	2035	0.4 ± 0.1	19	31
Amplify	376	0.4 ± 0.3	5	5
Defend+1	2809	0.2 ± 0.1	35	48
White Noise+1	610	0.2 ± 0.2	7	10
Defragment+1	3588	0.1 ± 0.1	40	72
Glacier	4021	0.1 ± 0.1	72	65
Defend	31654	0.1 ± 0.0	251	458
Barrage+1	827	0.1 ± 0.2	13	15
Defragment	2749	-0.1 ± 0.1	16	40
TURBO	1382	-0.1 ± 0.2	27	34
Reinforced Body	1386	-0.1 ± 0.1	12	15
Equilibrium+1	229	-0.1 ± 0.3	3	3
Shame	56	-0.1 ± 0.8	1	0
Zap	22234	-0.2 ± 0.0	149	361
Leap+1	366	-0.3 ± 0.3	2	5
FTL	2257	-0.3 ± 0.1	38	30
Genetic Algorithm	1746	-0.3 ± 0.1	19	21
Streamline	2649	-0.3 ± 0.1	42	51
Capacitor	2742	-0.4 ± 0.2	39	69
Dark Shackles	50	-0.4 ± 0.6	0	1
Chill+1	386	-0.4 ± 0.2	4	4
Reboot+1	75	-0.5 ± 0.6	0	0
Doubt	1094	-0.6 ± 0.2	13	29
Coolheaded	5722	-0.6 ± 0.1	51	114
Genetic Algorithm+1	540	-0.6 ± 0.3	8	14
Buffer	817	-0.7 ± 0.2	8	23
Rebound+1	155	-0.7 ± 0.5	4	2
Electrodynamics+1	545	-0.9 ± 0.3	13	13
Core Surge	1884	-0.9 ± 0.1	9	44
Heatsinks	517	-0.9 ± 0.4	6	18
Flash of Steel	118	-1.0 ± 0.6	2	3
Storm	839	-1.1 ± 0.4	10	30
Aggregate	68	-1.1 ± 0.9	0	2
Overclock	198	-1.1 ± 0.5	7	4
Self Repair+1	714	-1.1 ± 0.2	2	15
Reboot	655	-1.2 ± 0.2	7	18
Chill	2394	-1.2 ± 0.1	16	50
Pain	415	-1.3 ± 0.3	7	6
White Noise	1713	-1.3 ± 0.1	6	42
Apparition	200	-1.3 ± 0.2	0	4
Echo Form+1	337	-1.4 ± 0.4	4	13
Force Field+1	84	-1.4 ± 0.5	0	3
Sunder	1302	-1.4 ± 0.2	8	28
Seek	1329	-1.4 ± 0.1	4	40
Amplify+1	60	-1.4 ± 0.6	0	1
Consume	881	-1.5 ± 0.3	10	39
Parasite	135	-1.5 ± 0.6	1	5
Chaos	632	-1.5 ± 0.3	2	27
Necronomicurse	82	-1.6 ± 0.5	0	2
Beam Cell	2032	-1.6 ± 0.2	29	69
Injury	677	-1.6 ± 0.3	12	30
Master of Strategy	89	-1.7 ± 0.5	1	1
Steam Barrier+1	191	-1.8 ± 0.5	1	3
Self Repair	3446	-1.8 ± 0.1	22	107
Biased Cognition+1	560	-1.8 ± 0.3	1	18
Equilibrium	1623	-1.8 ± 0.1	12	38
Reinforced Body+1	363	-1.9 ± 0.4	2	7
Consume+1	750	-1.9 ± 0.3	3	31
Go for the Eyes	2980	-2.0 ± 0.1	46	109
Electrodynamics	2226	-2.0 ± 0.1	16	96
Recursion	924	-2.0 ± 0.2	5	32
Hologram	2284	-2.1 ± 0.1	8	83
Buffer+1	610	-2.1 ± 0.2	4	22
Glacier+1	580	-2.2 ± 0.3	1	22
Fission	592	-2.2 ± 0.2	5	22
Machine Learning	617	-2.4 ± 0.2	4	25
FTL+1	187	-2.4 ± 0.6	1	4
Panacea+1	68	-2.4 ± 0.6	0	2
Static Discharge+1	1100	-2.5 ± 0.2	4	45
Discovery+1	76	-2.5 ± 0.7	1	1
Storm+1	423	-2.6 ± 0.4	2	13
Rainbow	801	-2.6 ± 0.2	4	31
Hello World+1	93	-2.6 ± 0.8	3	4
Force Field	378	-2.7 ± 0.4	1	14
Tempest+1	347	-2.9 ± 0.4	1	15
Echo Form	2015	-3.0 ± 0.1	8	100
Fission+1	450	-3.0 ± 0.3	1	16
Core Surge+1	77	-3.0 ± 0.7	0	2
Skim+1	174	-3.1 ± 0.6	1	5
Bandage Up	110	-3.1 ± 0.7	0	5
Fusion+1	221	-3.2 ± 0.6	2	11
Go for the Eyes+1	836	-3.2 ± 0.3	2	40
Regret	743	-3.3 ± 0.2	7	22
Chaos+1	710	-3.3 ± 0.3	2	36
Double Energy	446	-3.3 ± 0.3	1	29
Double Energy+1	206	-3.5 ± 0.4	0	8
Sunder+1	1469	-3.5 ± 0.2	3	80
Hologram+1	952	-3.6 ± 0.2	1	59
Panacea	155	-3.6 ± 0.5	0	6
Creative AI	864	-3.6 ± 0.3	2	51
Streamline+1	1569	-3.6 ± 0.2	9	78
Madness	52	-3.7 ± 1.0	0	4
Recycle	563	-3.8 ± 0.3	2	41
Rainbow+1	309	-3.9 ± 0.4	4	18
Apotheosis	231	-3.9 ± 0.5	0	16
Doom and Gloom	2150	-3.9 ± 0.2	10	140
Multi-Cast+1	96	-4.0 ± 0.8	0	7
Recursion+1	545	-4.2 ± 0.3	1	33
Dramatic Entrance	80	-4.2 ± 0.7	0	2
Tempest	795	-4.5 ± 0.3	2	49
TURBO+1	342	-4.6 ± 0.5	0	21
Doom and Gloom+1	847	-4.6 ± 0.3	5	63
Finesse	75	-4.7 ± 0.7	0	3
Blind	51	-4.8 ± 0.8	0	3
Multi-Cast	342	-4.8 ± 0.4	1	27
Meteor Strike	337	-4.8 ± 0.6	0	24
Scrape+1	85	-4.9 ± 1.0	0	4
Beam Cell+1	776	-5.1 ± 0.3	1	45
Coolheaded+1	1613	-5.4 ± 0.2	0	133
Heatsinks+1	127	-5.6 ± 0.9	0	10
Recycle+1	341	-5.7 ± 0.5	0	24
Machine Learning+1	110	-5.7 ± 0.8	1	9
Skim	707	-5.8 ± 0.3	0	54
Fusion	292	-6.4 ± 0.6	0	24
Panache	83	-6.6 ± 1.3	0	5
Darkness	894	-6.9 ± 0.3	0	73
Hand of Greed	140	-6.9 ± 0.8	0	7
Apotheosis+1	422	-7.9 ± 0.5	0	50
Claw	3626	-7.9 ± 0.2	10	426
The Bomb	64	-8.3 ± 1.1	0	7
Claw+1	357	-8.5 ± 0.8	0	49
Creative AI+1	408	-8.5 ± 0.6	0	47
Hand of Greed+1	133	-8.7 ± 0.8	1	14
Ball Lightning+1	1246	-9.3 ± 0.3	2	188
All for One	808	-9.9 ± 0.6	1	122
Ball Lightning	9176	-10.1 ± 0.1	0	1270
Darkness+1	597	-10.2 ± 0.5	0	91
Blizzard	614	-10.3 ± 0.6	0	101
Scrape	445	-11.4 ± 0.8	0	78
Hyperbeam	319	-12.6 ± 0.8	0	50
Reprogram	86	-13.4 ± 2.3	0	15
Blizzard+1	291	-14.1 ± 1.1	0	56
Metamorphosis+1	53	-15.1 ± 2.4	0	14
Hyperbeam+1	252	-15.8 ± 1.3	0	67