bug catcher + bottom rock tunnel hiker taken as standard: [also this doesn't do hiker nob]
(+1 iv means everything acts if it was 1 iv higher for that fight on standard) 

obviously another 4 evs would then add another ivs worth of speed and weird levelup locations will mess it up

outspeeds is only noted when standard ties at 31 (because its unclear whether a magical 32iv would tie or outspeed), otherwise if higher than the tie mark it outspeeds
only considering these things because I'm lazy

carbos is +10 evs, josh is +3, rocket is + 1, an extra speedEV wild kill is +1 (1 less kill i.e. caterpie instead is -1)

List of various speedmark things and how many evs needed to functionally be +1 iv for that fight.
moon voltorb   +2
abra           +2
surge gym pika +3
surge voltorb  +3
rapidash       +1
zam (any%)     +4

[assumes exp route of 26 -> 27 for rival/or 27->28 after, 34->36 for giovanni, 42->44 in erika gym]






+2 evs for moon voltorb      
 - standard ties on 25-30
 - josh, or rocket + 2nd route 1 encounter ties on 24-29

+2 evs for abra
 - standard ties on 21-24
 - josh, or rocket + 2nd route 1 encounter ties on 20-23

+3 evs for surge minion pikachu
 - standard ties on 25-27
 - josh ties on 24-26

+3 evs for surge voltorb
 - standard ties on 28-31
 - josh ties on 27-30 and outspeeds on 31

+1 evs for rapidash (no candies since 34->36 for gio)
 - standard ties on 27-28
 - josh or rocket or 1 extra r1 encounter ties on 26-27
 - standard + carbos ties on 24-25
 - josh + carbos ties on 23-24

+0 evs for sabrina zam (any%) (candy to 44 in erika gym)
 - standard ties on 29-31 
 - josh + 1 extra route 1 encounter ties on 28-30, outspeeds on 31
 - standard + carbos ties on 27-29, outspeeds on 30+
 - rocket + 1 extra route 1 encounter plus carbos or josh plus carbos ties on 26-28, outspeeds on 29+

+3 evs for sabrina zam (round 2) (no candies since 34->36 for gio)
 - standard is always slower
 - carbos + rocket/josh ties on 31





rocket vs standard:
20 ties abra w/ 2nd r1 kill
24 ties moon voltorb w/ 2nd r1 kill, outspeeds abra w/ 2nd r1 kill
26 ties blaine rapidash,    w/ 2nd r1 kill + carbos ties zam (any% route) 
28 outspeeds blaine rapidash
29 outspeeds zam (any% route) w/ 2nd r1 kill + carbos 
30 outspeeds voltorb w/ 2nd r1 kill 



josh vs standard:
20 ties abra
24 ties moon voltorb, ties minion pikachu, outspeed abra
25 outspeeds blaine w/ carbos
27 outspeeds minion pikachu, ties surge voltorb
28 outspeeds blaine
29 outspeeds sabrina (any% route) w/ carbos
30 outspeeds moon voltorb
31 outspeeds surge voltorb, outspeeds sabrina (any% route) w/ extra r1 kill







josh gives functional +1 speed iv (compared to bug catcher) except on following levels:
any%
22,32,33,45,46,47,54,55

w/ carbos:
50,51,52,53,

frr2: (no 2nd r1 kill assumed)
22,32,33,44,45,54,57,58

w/ carbos:
51,52,53,55,59


frr2: w/ 2nd r1 kill assumed:
im lazy