Best HPs for Lance+Champion (all healing items)

The "score" is how much you time you save from an "average" situation. If your risk threshold is 50/24, an average situation risks a 50% death for 24 seconds of time save (or any equivalent, such as 13/5).

Source: Excel calculations for Gyarados/Pidgeot outcomes, with some simplifications/rounding. Full Lance red bar is 10.4 seconds; full Champ red bar is 16.5 seconds.

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If risk threshold is 50/24 (standard):
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BEST INDIVIDUAL HPs:
HP          Score (time save)
140			3.49
141			3.40
139			3.28
138			3.25
142			3.18
137			3.04
143			2.97
136			2.83
144			2.74
135			2.74
134			2.55
145			2.48
133			2.36
146			2.22
132			2.17
131			1.98
147			1.88
130			1.79
129			1.60
148			1.39
128			0.99
149			0.79
150			0.20
127			-0.09
151			-0.38
152			-0.94
126			-1.43 (Potion becomes worth it if already in menu)
153			-1.48
154			-2.00
155			-2.51
156			-3.00
125			-3.04 (separate menu to Potion becomes worth it)
157			-3.39
158			-3.81
170			-4.00
169			-4.00
171			-4.02
168			-4.04
167			-4.10
166			-4.17
165			-4.26
159			-4.27
164			-4.35
124			-4.39
160			-4.40
163			-4.42
162			-4.50
161			-4.57
123			-6.22
122			-7.41
121			-9.42
120			-11.06
119			-13.05
118			-14.53
117			-17.36
116			-19.22
115			-22.46
114			-25.06
113			-27.92
112			-32.16
111			-35.70
110			-41.17
109			-45.88