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Articles - Read - Experience Points GuideThe EXP formula and growth rates
ArticleIntroduction Experience is a crucial aspect of in-game Pokémon. When a Pokémon earns enough Experience Points through battling, it will level up and thus increase its stats. However, even the novice player will notice that Experience Points are not a constant for each Pokémon - he or she might notice that weaker Pokémon tend to level up faster, or that higher lever Pokémon give out considerably more Experience Points. The player might even begin to trade Pokémon solely for the reason of getting that Experience boost on a traded Pokémon. This guide will take a look at the inner workings of Experience Points in Pokémon including how they are earned and how they are calculated, as well as include lists of Pokémon that fit in a certain Experience group. Table of Contents How they are earned 1a. In battle 1b. Exp Share 1c. Experience and EVs 1d. Boosting your EXP How they are calculated 2a. The EXP formula 2b. Base experience 2c. Level up rates 3. Credits How they are earned - How to earn and boost Experience Points! 1a. In battle Any Pokémon that enters a battle will earn Experience points, unless it is a Battle Tower battle or Wifi battle. The number of experience points earned will be split evenly among each Pokémon involved in the battle. In a battle where 12,000 total Experience points (EXP) are earned and all 6 Pokémon are used, each of these Pokémon will earn 2,000 EXP. 1b. Exp Share The Experience Share (EXP Share) is an item that allows a Pokémon who was not involved in a battle to still earn EXP. This item is given to you on Route 206 by your rival. It can also be won by matching three numbers on the Jubilife TV lottery. If the Pokémon holding the EXP share is not brought out into the battle, it will earn half of the total EXP (E/2), and the other Pokémon will earn E/2n experience each,where n is the number of Pokémon involved in the battle. If the Pokémon holding the EXP share is brought out into battle, it will earn EXP using the following formula: E/2 + E/2n, where E is the total EXP earned and n is the number of Pokémon used in the battle (including the one holding the EXP share). For example, in a battle where 3,000 EXP are earned and distributed among 3 Pokémon, one of which is holding an EXP Share, that Pokémon will earn (3,000)/2 + 3,000/2(3) = 2,000 EXP. 1c. Experience and EVs If a Pokémon earns EXP in a battle, it will also earn the full number of EVs given by that Pokémon. Starting with the third generation of Pokémon (Pokémon Ruby/Sapphire/Emerald), even a Pokémon with an EXP share that does not enter a battle will still earn full EVs for that battle. 1d. Boosting your EXP There are three ways to boost the amount of EXP a Pokémon earns. The first is to attach the Lucky Egg item to the Pokémon who will be earning EXP. This item boosts the amount of EXP earned, although it is quite rare - it has a 5% drop rate on wild Chansey. The second way is to trade a Pokémon with someone else. If a Pokémon has a different ID number from the trainer who is using it, it will earn more EXP. The third way is to transfer a Pokémon from a previous version to Diamond or Pearl through Pal Park. The actual multipliers for the EXP earned will be explored in the next part of the guide. How they are calculated - How to calculate the Experience Points earned in battle 2a. The EXP formula The amount of experience earned by defeating a Pokémon is given by the formula: EXP = ((((Base EXP * Level) / 7) * B) * E) * T After every step, the result is rounded down, so the formula can be written floor(floor(floor(floor(BE * L) / 7) * B) * E) * T Let's take a look at each of these variables. Base EXP is the base experience given by the enemy Pokémon (this will be looked at in the next section.) Level is the level of the enemy Pokémon. Bis the trainer battle boost - B = 1 if the enemy Pokémon is wild, and B= 1.5 if the defending Pokémon is a trainer's Pokémon. This explains to the novice why gym leaders and elite 4 members will give more EXP than wild Pokémon. E is the Lucky Egg boost - E = 1 if your Pokémon is not holding a Lucky Egg, and B = 1.5 if your Pokémon is holding a Lucky Egg. T is the trade or Pal Park boost - T = 1 if your Pokémon comes from Sinnoh and has your Trainer ID, T = 1.5 if your Pokémon has been transferred from Pal Park, and T = 1.7 if your Pokémon's ID number does not match your ID number, i.e. the Pokémon was obtained in a trade. Now let's focus on the first of these variables, the Base Experience. 2b. Base Experience Base Experience is almost like a base stat - it is different for almost every Pokémon. Usually, stronger Pokémon tend to have higher Base Experience stats than weaker Pokémon. Here is a list of the Base Experience stats of all Pokémon, sorted in descending order. Very High (210-255) Arceus - 255 Blissey - 255 Chansey - 255 Happiny - 255 Dialga - 220 Giratina - 220 Ho-oh - 220 Lugia - 220 Mewtwo - 220 Palkia - 220 Rayquaza - 220 Regigigas - 220 Togekiss - 220 Lapras - 219 Dragonite - 218 Garchomp - 218 Groudon - 218 Kyogre - 218 Salamence - 218 Tyranitar - 218 Entei - 217 Moltres - 217 Regirock - 217 Rhyperior - 217 Raikou - 216 Regice - 216 Zapdos - 216 Articuno - 215 Deoxys - 215 Heatran - 215 Jirachi - 215 Manaphy - 215 Registeel - 215 Suicune - 215 Abomasnow - 214 Gyarados - 214 Arcanine - 213 Milotic - 213 Exeggutor - 212 Latias - 211 Latios - 211 Magnezone - 211 Tangrowth - 211 Tauros - 211 Azelf - 210 Blastoise - 210 Cresselia - 210 Darkrai - 210 Dusknoir - 210 Empoleon - 210 Feraligatr - 210 Mesprit - 210 Metagross - 210 Slaking - 210 Swampert - 210 Uxie - 210 High (170-209) Blaziken - 209 Charizard - 209 Infernape - 209 Skuntank - 209 Typhlosion - 209 Gallade - 208 Gardevoir - 208 Meganium - 208 Sceptile - 208 Torterra - 208 Venusaur - 208 Kingdra - 207 Mamoswine - 207 Starmie - 207 Kingler - 206 Wailord - 206 Aggron - 205 Tentacruel - 205 Crobat - 204 Drapion - 204 Drifblim - 204 Houndoom - 204 Lucario - 204 Rhydon - 204 Roserade - 204 Cloyster - 203 Aerodactyl - 202 Cradily - 201 Kabutops - 201 Armaldo - 200 Heracross - 200 Miltank - 200 Pinsir - 200 Scizor - 200 Bastiodon - 199 Electivire - 199 Magmortar - 199 Omastar - 199 Rampardos - 199 Weavile - 199 Flareon - 198 Hippowdon - 198 Probopass - 198 Relicanth - 198 Yanmega - 198 Espeon - 197 Flygon - 197 Jolteon - 197 Umbreon - 197 Glaceon - 196 Leafeon - 196 Steelix - 196 Vaporeon - 196 Nidoking - 195 Ampharos - 194 Luxray - 194 Nidoqueen - 194 Lickilicky - 193 Machamp - 193 Gliscor - 192 Rapidash - 192 Walrein - 192 Victreebel - 191 Gengar - 190 Claydol - 189 Donphan - 189 Ursaring - 189 Altaria - 188 Bronzong - 188 Vespiquen - 188 Froslass - 187 Glalie - 187 Honchkrow - 187 Mismagius - 187 Scyther - 187 Alakazam - 186 Ambipom - 186 Politoed - 185 Poliwrath - 185 Porygon-Z - 185 Bellossom - 184 Exploud - 184 Hariyama - 184 Vileploom - 184 Delibird - 183 Purugly - 183 Ludicolo - 181 Shiftry - 181 Toxicroak - 181 Porygon2 - 180 Banette - 179 Dusclops - 179 Floatzel - 178 Gorebyss - 178 Granbull - 178 Huntail - 178 Ninetails - 178 Cacturne - 177 Golem - 177 Wobbuffet - 177 Dewgong - 176 Gastrodon - 176 Jumpluff - 176 Camerupt - 175 Kangaskhan - 175 Sharpedo - 175 Absol - 174 Golduck - 174 Lopunny - 174 Weezing - 173 Pidgeot - 172 Staraptor - 172 Golbat - 171 Xatu - 171 Seaking - 170 Medium (130-169) Magneton - 169 Tropius - 169 Manectric - 168 Mantine - 168 Skarmory - 168 Spiritomb - 168 Swalot - 168 Magmar - 167 Tangela - 166 Breloom - 165 Hypno - 165 Phione - 165 Seviper - 165 Stantler - 165 Zangoose - 165 Carnivine - 164 Grumpig - 164 Octillery - 164 Pelipper - 164 Slowbro - 164 Slowking - 164 Sandslash - 163 Fearow - 162 Noctowl - 162 Swellow - 162 Beautifly - 161 Crawdaunt - 161 Torkoal - 161 Butterfree - 160 Piloswine - 160 Beedrill - 159 Kricketune - 159 Mothim - 159 Wormadam - 159 Dodrio - 158 Whiscash - 158 Muk - 157 Electabuzz - 156 Lanturn - 156 Lumineon - 156 Ninjask - 155 Seadra - 155 Celebi - 154 Magcargo - 154 Mew - 154 Snorlax - 154 Azumarill - 153 Dugtrio - 153 Medicham - 153 Metang - 153 Lairon - 152 Ponyta - 152 Roselia - 152 Weepinbell - 151 Electrode - 150 Lunatone - 150 Solrock - 150 Girafarig - 149 Primeape - 149 Persian - 148 Arbok - 147 Chimecho - 147 Misdreavus - 147 Yanma - 147 Illumise - 146 Machoke - 146 Sunflora - 146 Volbeat - 146 Castform - 145 Kadabra - 145 Dragonair - 144 Gabite - 144 Pupitar - 144 Shelgon - 144 Croconaw - 143 Marshtomp - 143 Prinplup - 143 Wartortle - 143 Charmeleon - 142 Clamperl - 142 Combusken - 142 Monferno - 142 Quilava - 142 Bayleef - 141 Grotle - 141 Grovyle - 141 Ivysaur - 141 Lombre - 141 Nuzleaf - 141 Hitmonchan - 140 Kirlia - 140 Hitmonlee - 139 Delcatty - 138 Hitmontop - 138 Venomoth - 138 Jynx - 137 Quagsire - 137 Wailmer - 137 Mr. Mime 136 Skiploom - 136 Rhyhorn - 135 Sudowoodo - 135 Ariados - 134 Graveler - 134 Ledian - 134 Cherrim - 133 Gloom - 132 Kecleon - 132 Rotom - 132 Sneasel - 132 Poliwhirl - 131 Snover - 131 Porygon - 130 Low (80-129) Clefable - 129 Linoone - 128 Masquerain - 128 Mightyena - 128 Parasect - 128 Sealeo - 128 Drifloon - 127 Lickitung - 127 Haunter - 126 Loudred - 126 Vibrava - 126 Vigoroth - 126 Marowak - 124 Phanpy - 124 Teddiursa - 124 Raichu - 122 Lileep - 121 Minun - 120 Omanyte - 120 Pachirisu - 120 Plusle - 120 Anorith - 119 Kabuto - 119 Forretress - 118 Nidorino - 118 Flaaffy - 117 Luxio - 117 Magby - 117 Nidorina - 117 Bibarel - 116 Furret - 116 Raticate - 116 Krabby - 115 Houndour - 114 Koffing - 114 Skorupi - 114 Togetic - 114 Corsola - 113 Pidgeotto - 113 Staravia - 113 Corphish - 111 Goldeen - 111 Luvdisc - 110 Wigglytuff - 109 Gligar - 108 Mantyke - 108 Nosepass - 108 Onix - 108 Chatot - 107 Murkrow - 107 Elekid - 106 Smeargle - 106 Staryu - 106 Tentacool - 105 Electrike - 104 Beldum - 103 Voltorb - 103 Drowzee - 102 Qwilfish - 100 Seel - 100 Cranidos - 99 Shieldon - 99 Slowpoke - 99 Exeggcute - 98 Mawile - 98 Sableye - 98 Cacnea - 97 Duskull - 97 Shellder - 97 Shuppet - 97 Aron - 96 Doduo - 96 Gastly - 95 Hippopotas - 95 Shedinja - 95 Aipom - 94 Farfetch'd - 94 Munchlax - 94 Sandshrew - 93 Barboach - 92 Eevee - 92 Growlithe - 91 Meditite - 91 Tyrogue - 91 Chinchou - 90 Finneon - 90 Grimer - 90 Bagon - 89 Magnemite - 89 Spoink - 89 Carvanha - 88 Machop - 88 Numel - 88 Cubone - 87 Makuhita - 87 Smoochum - 87 Spinda - 85 Bellsprout - 84 Buneary - 84 Croagunk - 83 Horsea - 83 Slakoth - 83 Pikachu - 82 Diglett - 81 Psyduck - 80 Shuckle - 80 Very Low (less than 80) Stunky - 79 Mime Jr. 78 Oddish - 78 Remoraid - 78 Slugma - 78 Swinub - 78 Poliwag - 77 Jigglypuff - 76 Buizel - 75 Dunsparce - 75 Gulpin - 75 Spheal - 75 Venonat - 75 Chingling - 74 Hoppip - 74 Lotad - 74 Mankey - 74 Seedot - 74 Snorunt - 74 Swablu - 74 Togepi - 74 Abra - 73 Geodude - 73 Natu - 73 Pichu - 73 Shellos - 73 Trapinch - 73 Bronzor - 72 Cascoon - 72 Metapod - 72 Riolu - 72 Glameow - 71 Kakuna - 71 Silcoon - 71 Paras - 70 Ralts - 70 Meowth - 69 Bonsly - 68 Budew - 68 Cherubi - 68 Clefairy - 68 Whismur - 68 Dratini - 67 Gible - 67 Larvitar - 67 Piplup - 66 Squirtle - 66 Totodile - 66 Charmander - 65 Chimchar - 65 Cyndaquil - 65 Mudkip - 65 Nincada - 65 Shroomish - 65 Skitty - 65 Torchic - 65 Treecko - 65 Bulbasaur - 64 Chikorita - 64 Shaymin - 64 Turtwig - 64 Wingull - 64 Combee - 63 Snubbull - 63 Surskit - 63 Vulpix - 63 Ekans - 62 Burmy - 61 Ditto - 61 Feebas - 61 Unown - 61 Dustox - 60 Nidoran♂ - 60 Pineco - 60 Shinx - 60 Zigzagoon - 60 Mareep - 59 Nidoran♀ - 59 Taillow - 59 Baltoy - 58 Bidoof - 58 Hoothoot - 58 Marill - 58 Spearow - 58 Rattata - 57 Sentret - 57 Starly - 56 Pidgey - 55 Poochyena - 55 Kricketot - 54 Ledyba - 54 Spinarak - 54 Wurmple - 54 Zubat - 54 Caterpie - 53 Sunkern - 52 Weedle - 52 Wooper - 52 Wynaut - 44 Igglybuff - 39 Cleffa - 37 Azurill - 33 Magikarp - 20 2c. Level-up Rates The novice player will notice that, as a Pokémon levels up, it will takemore and more time and EXP in order to reach the next level. Also, theplayer might notice that certain Pokémon take longer to level up than others, even at the same level. This is because each Pokémon is given one of six level up rates. A level up rate is the formula which gives the cumulative EXP needed in order to reach a given level. The six level up rate formulae are exponential, meaning that as the level increases, the number of cumulative EXP needed will increase at a faster rate. Now let's take a look at the six level up rates. First type - Fast Cumulative experience needed to reach level n = 0.8n3 Experience needed for level 100 = 0.8(1003) = 800,000 Pokémon with this growth rate: Aipom Ambipom Ariados Azumarill Azurill Banette Blissey Chansey Chimecho Chingling Clefable Clefairy Cleffa Corsola Delcatty Delibird Dusclops Dusknoir Duskull Glameow Granbull Grumpig Happiny Igglybuff Jigglypuff Ledian Ledyba Lunatone Luvdisc Marill Mawile Misdreavus Mismagius Purugly Shuppet Skitty Smeargle Snubbull Solrock Spinarak Spinda Spoink Togekiss Togepi Togetic Wigglytuff Second type - Medium Fast Cumulative experience needed to reach level n = n3 Experience needed for level 100 = 1003 = 1,000,000 Pokémon with this growth rate: Arbok Beedrill Butterfree Caterpie Dewgong Diglett Dodrio Doduo Dugtrio Ekans Farfetch'd Fearow Golbat Golduck Grimer Kakuna Magnemite Magneton Mankey Meowth Metapod Muk Ninetales Onix Paras Parasect Persian Pikachu Ponyta Primeape Psyduck Raichu Rapidash Raticate Rattata Sandshrew Sandslash Seel Slowbro Slowpoke Spearow Venomoth Venonat Vulpix Weedle Zubat Third type - Slow Cumulative experience needed to reach level n = 1.25n3 Experience needed for level 100 = 1.25(1003) = 1,250,000 Pokémon with this growth rate: Aerodactyl Arcanine Articuno Chinchou Cloyster Dragonair Dragonite Dratini Entei Exeggcute Exeggutor Growlithe Gyarados Heracross Ho-oh Houndoom Houndour Lanturn Lapras Larvitar Lugia Magikarp Mantine Mewtwo Miltank Moltres Piloswine Pinsir Pupitar Raikou Ralts Rhydon Rhyhorn Shellder Skarmory Snorlax Stantler Starmie Staryu Suicune Swinub Tauros Tentacool Tentacruel Tyranitar Zapdos Fourth type - Medium Slow Cumulative experience needed to reach level n = 1.2n3 - 15n2 + 100n - 140 Experience needed for level 100 = 1.2(1003) - 15(1002) + 100(10) - 140 = 1,059,860 Pokémon with this growth rate: Abra Alakazam Bayleef Bellsprout Blastoise Bulbasaur Charizard Charmander Charmeleon Chikorita Cyndaquil Gastly Gengar Geodude Gloom Golem Graveler Haunter Ivysaur Kadabra Machamp Machoke Machop Meganium Mew Nidoking Nidoqueen Nidoran♀ Nidoran♂ Nidorina Nidorino Oddish Pidgeot Pidgeotto Pidgey Poliwag Poliwhirl Poliwrath Quilava Squirtle Typhlosion Venusaur Victreebel Vileplume Wartortle Weepinbell The two remaining types have complicated formulae, but they will be listed for reference in this guide. Fifth type - Fluctuating The cumulative experience needed to reach level n is given by the piecewise function: n3((24 + ((n + 1)/3))/50) if 0 < n < 15 n3((14 + n)/50) if 16 < n < 35 n3((32 + (n/2))/50) if 36 < n < 100 A few examples will be provided that use each piece of the function. Experience needed for level 15 = 153((24 + ((15 + 1)/3))/50) = 1,980 Experience needed for level 35 = 353((14 + 35)/50) = 42,017 Experience needed for level 100 = n3((32+(100/2))/50) = 1,640,000 Pokémon with this growth rate: Breloom Corphish Crawdaunt Drifblim Drifloon Gulpin Hariyama Illumise Makuhita Seviper Shroomish Swalot Wailmer Wailord Sixth type - Erratic The cumulative experience needed to reach level n is given by the piecewise function: n3((100 - n)/50) if 0 < n < 50 n3((150 - n)/50) if 51 < n < 68 n3(1.274 - (n/150) - p(n mod 3)) if 69 < n < 98 n3((160 - n)/100) if 99 < n < 100 "mod" is a mathematical operation that expresses the remainder of "n/3". p(n mod 3) can be expressed with another function: p(n mod 3) = 0 if n mod 3 = 0 p(n mod 3) = 0.008 if n mod 3 = 1 p(n mod 3) = 0.014 if n mod 3 = 2 Experience needed for level 50 = 503((100 - 50)/50) = 125,000 Experience needed for level 68 = 683((150 - 68)/50) = 314,432 Experience needed for level 98 = 983(1.274 - (1/50)(98/3) - p(98 mod 3)) = 570,990 Experience needed for level 100 = n3((160 - 100)/100) = 600,000 Pokémon with this growth rate: Altaria Anorith Armaldo Clamperl Cradily Feebas Lileep Milotic Nincada Ninjask Shedinja Swablu Volbeat Zangoose 3. Credits - The Smogon Community for this thread with the base experience list. - Serebii for this experience guide. - Bulbapedia for this experience guide detailing the level up rate formulae. - Rose of The Libelldra Forge for providing data on EXP Share |
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