wp34s mini-challenge

[Gerson W. Barbosa]

(09-24-2020 08:00 PM)Didier Lachieze Wrote:  

(09-24-2020 10:31 AM)Gerson W. Barbosa Wrote:  Here is a 12-step solution using your simplification:

Can be done in 11 steps :

001:#Φ
002:x² 
003:INC X
004:RCL X
005:# 005
006:STO× Y
007:10ᵡ  
008:RCL+ Z
009:/
010:+
011:√

And using ordinary wp34s instructions only. Formidable !

I had to rewrite the original expression and to resort to a somewhat obscure instruction:

√(7 + ϕ - 5/(1 + (ϕ + 2)/10^5))

001:# 007
002:# ϕ
003:+
004:# 005
005:# 002
006:RCL+ L
007:Pa→bar
008:INC X
009:/
010:-
011:√

→ 1.9021605831

That’s an approximation to a mathematical constant which is know to only nine significant digits, according to OEIS. Anyway, it agrees to Pascal Sebah’s result to 12 significant digits.