Av(13452, 13542, 14352, 14523, 14532, 15342, 15423, 15432, 51342, 51423, 51432)
Counting Sequence
1, 1, 2, 6, 24, 109, 527, 2643, 13563, 70668, 372103, 1974153, 10532091, 56425087, 303273354, ...
This specification was found using the strategy pack "Requirement Placements" and has 500 rules.
Finding the specification took 121537 seconds.
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\(\begin{align*}
F_{0}\! \left(x \right) &= F_{1}\! \left(x \right)+F_{2}\! \left(x \right)\\
F_{1}\! \left(x \right) &= 1\\
F_{2}\! \left(x \right) &= F_{3}\! \left(x \right)\\
F_{3}\! \left(x \right) &= F_{11}\! \left(x \right) F_{4}\! \left(x \right)\\
F_{4}\! \left(x \right) &= F_{15}\! \left(x \right)+F_{5}\! \left(x \right)\\
F_{5}\! \left(x \right) &= F_{6}\! \left(x \right)\\
F_{6}\! \left(x \right) &= F_{0}\! \left(x \right)+F_{7}\! \left(x \right)\\
F_{7}\! \left(x \right) &= F_{2}\! \left(x \right) F_{8}\! \left(x \right)\\
F_{8}\! \left(x \right) &= F_{1}\! \left(x \right)+F_{9}\! \left(x \right)\\
F_{9}\! \left(x \right) &= F_{10}\! \left(x \right)\\
F_{10}\! \left(x \right) &= F_{11}\! \left(x \right) F_{12}\! \left(x \right)\\
F_{11}\! \left(x \right) &= x\\
F_{12}\! \left(x \right) &= F_{13}\! \left(x \right)+F_{14}\! \left(x \right)\\
F_{13}\! \left(x \right) &= F_{1}\! \left(x \right)+F_{11}\! \left(x \right)\\
F_{14}\! \left(x \right) &= F_{11}\! \left(x \right)\\
F_{15}\! \left(x \right) &= F_{16}\! \left(x \right)\\
F_{16}\! \left(x \right) &= F_{11}\! \left(x \right) F_{17}\! \left(x \right)\\
F_{17}\! \left(x \right) &= F_{18}\! \left(x \right)+F_{452}\! \left(x \right)\\
F_{18}\! \left(x \right) &= F_{19}\! \left(x \right)+F_{386}\! \left(x \right)\\
F_{19}\! \left(x \right) &= F_{20}\! \left(x \right)\\
F_{20}\! \left(x \right) &= F_{154}\! \left(x \right) F_{21}\! \left(x \right)\\
F_{21}\! \left(x \right) &= \frac{F_{22}\! \left(x \right)}{F_{33}\! \left(x \right)}\\
F_{22}\! \left(x \right) &= F_{23}\! \left(x \right)\\
F_{23}\! \left(x \right) &= -F_{372}\! \left(x \right)+F_{24}\! \left(x \right)\\
F_{24}\! \left(x \right) &= F_{25}\! \left(x \right)+F_{39}\! \left(x \right)\\
F_{25}\! \left(x \right) &= F_{26}\! \left(x \right)+F_{27}\! \left(x \right)+F_{28}\! \left(x \right)\\
F_{26}\! \left(x \right) &= 0\\
F_{27}\! \left(x \right) &= F_{11}\! \left(x \right) F_{25}\! \left(x \right)\\
F_{28}\! \left(x \right) &= F_{11}\! \left(x \right) F_{29}\! \left(x \right)\\
F_{29}\! \left(x \right) &= F_{30}\! \left(x \right)+F_{38}\! \left(x \right)\\
F_{30}\! \left(x \right) &= F_{31}\! \left(x \right)+F_{34}\! \left(x \right)\\
F_{31}\! \left(x \right) &= F_{32}\! \left(x \right)\\
F_{32}\! \left(x \right) &= F_{11}\! \left(x \right) F_{33}\! \left(x \right)\\
F_{33}\! \left(x \right) &= F_{1}\! \left(x \right)+F_{31}\! \left(x \right)\\
F_{34}\! \left(x \right) &= F_{26}\! \left(x \right)+F_{35}\! \left(x \right)+F_{37}\! \left(x \right)\\
F_{35}\! \left(x \right) &= F_{11}\! \left(x \right) F_{36}\! \left(x \right)\\
F_{36}\! \left(x \right) &= F_{11}\! \left(x \right)+F_{34}\! \left(x \right)\\
F_{37}\! \left(x \right) &= F_{11}\! \left(x \right) F_{31}\! \left(x \right)\\
F_{38}\! \left(x \right) &= F_{34}\! \left(x \right)\\
F_{39}\! \left(x \right) &= -F_{381}\! \left(x \right)+F_{40}\! \left(x \right)\\
F_{40}\! \left(x \right) &= F_{372}\! \left(x \right)+F_{41}\! \left(x \right)\\
F_{41}\! \left(x \right) &= F_{42}\! \left(x \right)\\
F_{42}\! \left(x \right) &= F_{33}\! \left(x \right) F_{43}\! \left(x \right)\\
F_{43}\! \left(x \right) &= F_{0}\! \left(x \right)+F_{44}\! \left(x \right)\\
F_{44}\! \left(x \right) &= F_{45}\! \left(x \right)\\
F_{45}\! \left(x \right) &= F_{11}\! \left(x \right) F_{46}\! \left(x \right)\\
F_{46}\! \left(x \right) &= F_{371}\! \left(x \right)+F_{47}\! \left(x \right)\\
F_{47}\! \left(x \right) &= F_{4}\! \left(x \right)+F_{48}\! \left(x \right)\\
F_{48}\! \left(x \right) &= F_{49}\! \left(x \right)\\
F_{49}\! \left(x \right) &= F_{11}\! \left(x \right) F_{50}\! \left(x \right)\\
F_{50}\! \left(x \right) &= F_{0}\! \left(x \right)+F_{51}\! \left(x \right)\\
F_{51}\! \left(x \right) &= F_{52}\! \left(x \right)\\
F_{52}\! \left(x \right) &= F_{11}\! \left(x \right) F_{53}\! \left(x \right)\\
F_{53}\! \left(x \right) &= F_{369}\! \left(x \right)+F_{54}\! \left(x \right)\\
F_{54}\! \left(x \right) &= F_{368}\! \left(x \right)+F_{55}\! \left(x \right)\\
F_{55}\! \left(x \right) &= F_{56}\! \left(x \right)+F_{57}\! \left(x \right)\\
F_{56}\! \left(x \right) &= x F_{56} \left(x \right)^{3}-x F_{56} \left(x \right)^{2}+x F_{56}\! \left(x \right)+1\\
F_{57}\! \left(x \right) &= F_{58}\! \left(x \right)\\
F_{58}\! \left(x \right) &= F_{11}\! \left(x \right) F_{59}\! \left(x \right)\\
F_{59}\! \left(x \right) &= \frac{F_{60}\! \left(x \right)}{F_{11}\! \left(x \right)}\\
F_{60}\! \left(x \right) &= F_{61}\! \left(x \right)\\
F_{61}\! \left(x \right) &= F_{11}\! \left(x \right) F_{62}\! \left(x \right)\\
F_{62}\! \left(x \right) &= F_{190}\! \left(x \right)+F_{63}\! \left(x \right)\\
F_{63}\! \left(x \right) &= F_{177}\! \left(x \right)+F_{64}\! \left(x \right)\\
F_{64}\! \left(x \right) &= F_{65}\! \left(x \right)+F_{69}\! \left(x \right)\\
F_{65}\! \left(x \right) &= F_{66}\! \left(x \right)\\
F_{66}\! \left(x \right) &= F_{56}\! \left(x \right) F_{67}\! \left(x \right)\\
F_{67}\! \left(x \right) &= \frac{F_{68}\! \left(x \right)}{F_{11}\! \left(x \right)}\\
F_{68}\! \left(x \right) &= F_{2}\! \left(x \right)\\
F_{69}\! \left(x \right) &= F_{70}\! \left(x \right)\\
F_{70}\! \left(x \right) &= F_{11}\! \left(x \right) F_{71}\! \left(x \right)\\
F_{71}\! \left(x \right) &= F_{72}\! \left(x \right)+F_{74}\! \left(x \right)\\
F_{72}\! \left(x \right) &= F_{73}\! \left(x \right)\\
F_{73}\! \left(x \right) &= F_{56} \left(x \right)^{2} F_{11}\! \left(x \right) F_{71}\! \left(x \right)\\
F_{74}\! \left(x \right) &= F_{75}\! \left(x \right)\\
F_{75}\! \left(x \right) &= F_{11}\! \left(x \right) F_{76}\! \left(x \right)\\
F_{76}\! \left(x \right) &= F_{364}\! \left(x \right)+F_{77}\! \left(x \right)\\
F_{77}\! \left(x \right) &= F_{361}\! \left(x \right)+F_{78}\! \left(x \right)\\
F_{78}\! \left(x \right) &= F_{67}\! \left(x \right) F_{79}\! \left(x \right)\\
F_{79}\! \left(x \right) &= \frac{F_{80}\! \left(x \right)}{F_{11}\! \left(x \right)}\\
F_{80}\! \left(x \right) &= F_{81}\! \left(x \right)\\
F_{81}\! \left(x \right) &= \frac{F_{82}\! \left(x \right)}{F_{2}\! \left(x \right)}\\
F_{82}\! \left(x \right) &= -F_{351}\! \left(x \right)+F_{83}\! \left(x \right)\\
F_{83}\! \left(x \right) &= -F_{349}\! \left(x \right)+F_{84}\! \left(x \right)\\
F_{84}\! \left(x \right) &= \frac{F_{85}\! \left(x \right)}{F_{11}\! \left(x \right)}\\
F_{85}\! \left(x \right) &= F_{86}\! \left(x \right)\\
F_{86}\! \left(x \right) &= -F_{219}\! \left(x \right)+F_{87}\! \left(x \right)\\
F_{87}\! \left(x \right) &= F_{50}\! \left(x \right)+F_{88}\! \left(x \right)\\
F_{88}\! \left(x \right) &= F_{89}\! \left(x \right)\\
F_{89}\! \left(x \right) &= F_{11}\! \left(x \right) F_{90}\! \left(x \right)\\
F_{90}\! \left(x \right) &= F_{216}\! \left(x \right)+F_{91}\! \left(x \right)\\
F_{91}\! \left(x \right) &= F_{215}\! \left(x \right)+F_{92}\! \left(x \right)\\
F_{92}\! \left(x \right) &= F_{213}\! \left(x \right)+F_{93}\! \left(x \right)\\
F_{93}\! \left(x \right) &= F_{212}\! \left(x \right)+F_{94}\! \left(x \right)\\
F_{94}\! \left(x \right) &= F_{67}\! \left(x \right)+F_{95}\! \left(x \right)\\
F_{95}\! \left(x \right) &= F_{2}\! \left(x \right) F_{96}\! \left(x \right)\\
F_{96}\! \left(x \right) &= F_{56}\! \left(x \right)+F_{97}\! \left(x \right)\\
F_{97}\! \left(x \right) &= F_{98}\! \left(x \right)\\
F_{98}\! \left(x \right) &= F_{11}\! \left(x \right) F_{99}\! \left(x \right)\\
F_{99}\! \left(x \right) &= F_{100}\! \left(x \right)+F_{207}\! \left(x \right)\\
F_{100}\! \left(x \right) &= \frac{F_{101}\! \left(x \right)}{F_{2}\! \left(x \right)}\\
F_{101}\! \left(x \right) &= -F_{204}\! \left(x \right)+F_{102}\! \left(x \right)\\
F_{102}\! \left(x \right) &= F_{103}\! \left(x \right)\\
F_{103}\! \left(x \right) &= -F_{169}\! \left(x \right)+F_{104}\! \left(x \right)\\
F_{104}\! \left(x \right) &= F_{105}\! \left(x \right)+F_{147}\! \left(x \right)\\
F_{105}\! \left(x \right) &= F_{106}\! \left(x \right)+F_{143}\! \left(x \right)\\
F_{106}\! \left(x \right) &= \frac{F_{107}\! \left(x \right)}{F_{11}\! \left(x \right)}\\
F_{107}\! \left(x \right) &= F_{108}\! \left(x \right)\\
F_{108}\! \left(x \right) &= F_{109}\! \left(x \right)\\
F_{109}\! \left(x \right) &= F_{11}\! \left(x \right) F_{110}\! \left(x \right)\\
F_{110}\! \left(x \right) &= F_{111}\! \left(x \right)+F_{116}\! \left(x \right)\\
F_{111}\! \left(x \right) &= F_{112}\! \left(x \right)\\
F_{112}\! \left(x \right) &= F_{113}\! \left(x \right) F_{50}\! \left(x \right)\\
F_{113}\! \left(x \right) &= F_{1}\! \left(x \right)+F_{114}\! \left(x \right)\\
F_{114}\! \left(x \right) &= F_{115}\! \left(x \right)\\
F_{115}\! \left(x \right) &= F_{11}\! \left(x \right) F_{113}\! \left(x \right)\\
F_{116}\! \left(x \right) &= F_{117}\! \left(x \right)\\
F_{117}\! \left(x \right) &= F_{11}\! \left(x \right) F_{118}\! \left(x \right) F_{56}\! \left(x \right)\\
F_{118}\! \left(x \right) &= F_{119}\! \left(x \right)+F_{127}\! \left(x \right)\\
F_{119}\! \left(x \right) &= F_{120}\! \left(x \right) F_{56}\! \left(x \right)\\
F_{120}\! \left(x \right) &= -F_{127}\! \left(x \right)+F_{121}\! \left(x \right)\\
F_{121}\! \left(x \right) &= \frac{F_{122}\! \left(x \right)}{F_{11}\! \left(x \right)}\\
F_{122}\! \left(x \right) &= F_{123}\! \left(x \right)\\
F_{123}\! \left(x \right) &= -F_{125}\! \left(x \right)+F_{124}\! \left(x \right)\\
F_{124}\! \left(x \right) &= F_{0}\! \left(x \right)+F_{108}\! \left(x \right)\\
F_{125}\! \left(x \right) &= F_{126}\! \left(x \right)\\
F_{126}\! \left(x \right) &= F_{0}\! \left(x \right) F_{113}\! \left(x \right)\\
F_{127}\! \left(x \right) &= F_{128}\! \left(x \right)\\
F_{128}\! \left(x \right) &= F_{11}\! \left(x \right) F_{113}\! \left(x \right) F_{129}\! \left(x \right)\\
F_{129}\! \left(x \right) &= F_{119}\! \left(x \right)+F_{130}\! \left(x \right)\\
F_{130}\! \left(x \right) &= F_{131}\! \left(x \right)\\
F_{131}\! \left(x \right) &= F_{113}\! \left(x \right) F_{132}\! \left(x \right)\\
F_{132}\! \left(x \right) &= F_{133}\! \left(x \right)+F_{135}\! \left(x \right)\\
F_{133}\! \left(x \right) &= F_{0}\! \left(x \right)+F_{134}\! \left(x \right)\\
F_{134}\! \left(x \right) &= F_{2}\! \left(x \right) F_{56}\! \left(x \right)\\
F_{135}\! \left(x \right) &= F_{136}\! \left(x \right) F_{56}\! \left(x \right)\\
F_{136}\! \left(x \right) &= F_{137}\! \left(x \right)\\
F_{137}\! \left(x \right) &= F_{11}\! \left(x \right) F_{138}\! \left(x \right)\\
F_{138}\! \left(x \right) &= F_{105}\! \left(x \right)+F_{139}\! \left(x \right)\\
F_{139}\! \left(x \right) &= F_{140}\! \left(x \right)\\
F_{140}\! \left(x \right) &= F_{11}\! \left(x \right) F_{141}\! \left(x \right) F_{56}\! \left(x \right)\\
F_{141}\! \left(x \right) &= F_{142}\! \left(x \right)+F_{91}\! \left(x \right)\\
F_{142}\! \left(x \right) &= F_{139}\! \left(x \right) F_{56}\! \left(x \right)\\
F_{143}\! \left(x \right) &= -F_{139}\! \left(x \right)+F_{144}\! \left(x \right)\\
F_{144}\! \left(x \right) &= \frac{F_{145}\! \left(x \right)}{F_{11}\! \left(x \right)}\\
F_{145}\! \left(x \right) &= F_{146}\! \left(x \right)\\
F_{146}\! \left(x \right) &= -F_{124}\! \left(x \right)+F_{67}\! \left(x \right)\\
F_{147}\! \left(x \right) &= F_{148}\! \left(x \right)\\
F_{148}\! \left(x \right) &= F_{11}\! \left(x \right) F_{149}\! \left(x \right) F_{91}\! \left(x \right)\\
F_{149}\! \left(x \right) &= F_{150}\! \left(x \right)+F_{56}\! \left(x \right)\\
F_{150}\! \left(x \right) &= F_{151}\! \left(x \right)\\
F_{151}\! \left(x \right) &= F_{11}\! \left(x \right) F_{152}\! \left(x \right)\\
F_{152}\! \left(x \right) &= F_{153}\! \left(x \right)+F_{157}\! \left(x \right)\\
F_{153}\! \left(x \right) &= F_{13}\! \left(x \right) F_{154}\! \left(x \right)\\
F_{154}\! \left(x \right) &= F_{155}\! \left(x \right)+F_{56}\! \left(x \right)\\
F_{155}\! \left(x \right) &= F_{156}\! \left(x \right)\\
F_{156}\! \left(x \right) &= F_{11}\! \left(x \right) F_{152}\! \left(x \right)\\
F_{157}\! \left(x \right) &= F_{158}\! \left(x \right)\\
F_{158}\! \left(x \right) &= F_{11}\! \left(x \right) F_{154}\! \left(x \right) F_{159}\! \left(x \right)\\
F_{159}\! \left(x \right) &= F_{160}\! \left(x \right)+F_{167}\! \left(x \right)\\
F_{160}\! \left(x \right) &= F_{161}\! \left(x \right)+F_{162}\! \left(x \right)\\
F_{161}\! \left(x \right) &= F_{149}\! \left(x \right) F_{56}\! \left(x \right)\\
F_{162}\! \left(x \right) &= F_{163}\! \left(x \right)\\
F_{163}\! \left(x \right) &= F_{11}\! \left(x \right) F_{164}\! \left(x \right)\\
F_{164}\! \left(x \right) &= F_{149}\! \left(x \right)+F_{165}\! \left(x \right)\\
F_{165}\! \left(x \right) &= F_{166}\! \left(x \right)\\
F_{166}\! \left(x \right) &= F_{149} \left(x \right)^{2} F_{11}\! \left(x \right) F_{56}\! \left(x \right)\\
F_{167}\! \left(x \right) &= F_{168}\! \left(x \right)\\
F_{168}\! \left(x \right) &= F_{11}\! \left(x \right) F_{149}\! \left(x \right) F_{56}\! \left(x \right)\\
F_{169}\! \left(x \right) &= F_{170}\! \left(x \right)\\
F_{170}\! \left(x \right) &= F_{11}\! \left(x \right) F_{171}\! \left(x \right)\\
F_{171}\! \left(x \right) &= F_{172}\! \left(x \right)+F_{175}\! \left(x \right)\\
F_{172}\! \left(x \right) &= F_{173}\! \left(x \right)\\
F_{173}\! \left(x \right) &= F_{100}\! \left(x \right) F_{11}\! \left(x \right) F_{138}\! \left(x \right) F_{174}\! \left(x \right)\\
F_{174}\! \left(x \right) &= x F_{174} \left(x \right)^{3}+2 x F_{174} \left(x \right)^{2}+2 F_{174}\! \left(x \right) x +x\\
F_{175}\! \left(x \right) &= \frac{F_{176}\! \left(x \right)}{F_{11}\! \left(x \right)}\\
F_{176}\! \left(x \right) &= F_{177}\! \left(x \right)\\
F_{177}\! \left(x \right) &= -F_{69}\! \left(x \right)+F_{178}\! \left(x \right)\\
F_{178}\! \left(x \right) &= -F_{190}\! \left(x \right)+F_{179}\! \left(x \right)\\
F_{179}\! \left(x \right) &= \frac{F_{180}\! \left(x \right)}{F_{11}\! \left(x \right)}\\
F_{180}\! \left(x \right) &= F_{181}\! \left(x \right)\\
F_{181}\! \left(x \right) &= F_{11}\! \left(x \right) F_{182}\! \left(x \right)\\
F_{182}\! \left(x \right) &= F_{183}\! \left(x \right)+F_{185}\! \left(x \right)\\
F_{183}\! \left(x \right) &= F_{184}\! \left(x \right)\\
F_{184}\! \left(x \right) &= F_{56} \left(x \right)^{2} F_{11}\! \left(x \right) F_{182}\! \left(x \right)\\
F_{185}\! \left(x \right) &= -F_{186}\! \left(x \right)+F_{138}\! \left(x \right)\\
F_{186}\! \left(x \right) &= F_{187}\! \left(x \right)+F_{188}\! \left(x \right)\\
F_{187}\! \left(x \right) &= F_{0}\! \left(x \right) F_{56}\! \left(x \right)\\
F_{188}\! \left(x \right) &= F_{189}\! \left(x \right)\\
F_{189}\! \left(x \right) &= F_{56} \left(x \right)^{2} F_{11}\! \left(x \right) F_{138}\! \left(x \right)\\
F_{190}\! \left(x \right) &= F_{191}\! \left(x \right)\\
F_{191}\! \left(x \right) &= F_{11}\! \left(x \right) F_{192}\! \left(x \right)\\
F_{192}\! \left(x \right) &= F_{193}\! \left(x \right)+F_{194}\! \left(x \right)\\
F_{193}\! \left(x \right) &= F_{13}\! \left(x \right) F_{62}\! \left(x \right)\\
F_{194}\! \left(x \right) &= F_{195}\! \left(x \right)\\
F_{195}\! \left(x \right) &= F_{11}\! \left(x \right) F_{196}\! \left(x \right)\\
F_{196}\! \left(x \right) &= F_{197}\! \left(x \right)+F_{203}\! \left(x \right)\\
F_{197}\! \left(x \right) &= F_{198}\! \left(x \right)+F_{202}\! \left(x \right)\\
F_{198}\! \left(x \right) &= F_{149}\! \left(x \right) F_{199}\! \left(x \right)\\
F_{199}\! \left(x \right) &= F_{200}\! \left(x \right)+F_{201}\! \left(x \right)\\
F_{200}\! \left(x \right) &= F_{56}\! \left(x \right) F_{62}\! \left(x \right)\\
F_{201}\! \left(x \right) &= F_{67}\! \left(x \right) F_{81}\! \left(x \right)\\
F_{202}\! \left(x \right) &= F_{162}\! \left(x \right) F_{62}\! \left(x \right)\\
F_{203}\! \left(x \right) &= F_{167}\! \left(x \right) F_{62}\! \left(x \right)\\
F_{204}\! \left(x \right) &= F_{149}\! \left(x \right)+F_{205}\! \left(x \right)\\
F_{205}\! \left(x \right) &= F_{206}\! \left(x \right)\\
F_{206}\! \left(x \right) &= F_{11}\! \left(x \right) F_{192}\! \left(x \right)\\
F_{207}\! \left(x \right) &= F_{208}\! \left(x \right)\\
F_{208}\! \left(x \right) &= F_{100}\! \left(x \right) F_{11}\! \left(x \right) F_{209}\! \left(x \right) F_{56}\! \left(x \right)\\
F_{209}\! \left(x \right) &= F_{210}\! \left(x \right)+F_{56}\! \left(x \right)\\
F_{210}\! \left(x \right) &= F_{211}\! \left(x \right)\\
F_{211}\! \left(x \right) &= F_{56} \left(x \right)^{2} F_{11}\! \left(x \right) F_{209}\! \left(x \right)\\
F_{212}\! \left(x \right) &= F_{51}\! \left(x \right) F_{96}\! \left(x \right)\\
F_{213}\! \left(x \right) &= F_{214}\! \left(x \right) F_{56}\! \left(x \right)\\
F_{214}\! \left(x \right) &= -F_{50}\! \left(x \right)+F_{106}\! \left(x \right)\\
F_{215}\! \left(x \right) &= F_{143}\! \left(x \right) F_{56}\! \left(x \right)\\
F_{216}\! \left(x \right) &= F_{217}\! \left(x \right) F_{56}\! \left(x \right)\\
F_{217}\! \left(x \right) &= F_{218}\! \left(x \right)\\
F_{218}\! \left(x \right) &= F_{11}\! \left(x \right) F_{56}\! \left(x \right) F_{90}\! \left(x \right)\\
F_{219}\! \left(x \right) &= F_{220}\! \left(x \right)+F_{225}\! \left(x \right)\\
F_{220}\! \left(x \right) &= F_{221}\! \left(x \right)\\
F_{221}\! \left(x \right) &= F_{222}\! \left(x \right)+F_{4}\! \left(x \right)\\
F_{222}\! \left(x \right) &= F_{223}\! \left(x \right)\\
F_{223}\! \left(x \right) &= F_{2}\! \left(x \right) F_{224}\! \left(x \right)\\
F_{224}\! \left(x \right) &= F_{11}\! \left(x \right)+F_{13}\! \left(x \right)\\
F_{225}\! \left(x \right) &= F_{226}\! \left(x \right)\\
F_{226}\! \left(x \right) &= F_{11}\! \left(x \right) F_{227}\! \left(x \right)\\
F_{227}\! \left(x \right) &= -F_{349}\! \left(x \right)+F_{228}\! \left(x \right)\\
F_{228}\! \left(x \right) &= -F_{346}\! \left(x \right)+F_{229}\! \left(x \right)\\
F_{229}\! \left(x \right) &= -F_{343}\! \left(x \right)+F_{230}\! \left(x \right)\\
F_{230}\! \left(x \right) &= \frac{F_{231}\! \left(x \right)}{F_{11}\! \left(x \right)}\\
F_{231}\! \left(x \right) &= F_{232}\! \left(x \right)\\
F_{232}\! \left(x \right) &= F_{11}\! \left(x \right) F_{233}\! \left(x \right)\\
F_{233}\! \left(x \right) &= F_{234}\! \left(x \right)+F_{337}\! \left(x \right)\\
F_{234}\! \left(x \right) &= F_{235}\! \left(x \right)+F_{339}\! \left(x \right)\\
F_{235}\! \left(x \right) &= F_{236}\! \left(x \right)+F_{237}\! \left(x \right)\\
F_{236}\! \left(x \right) &= F_{174}\! \left(x \right) F_{2}\! \left(x \right)\\
F_{237}\! \left(x \right) &= -F_{339}\! \left(x \right)+F_{238}\! \left(x \right)\\
F_{238}\! \left(x \right) &= -F_{337}\! \left(x \right)+F_{239}\! \left(x \right)\\
F_{239}\! \left(x \right) &= \frac{F_{240}\! \left(x \right)}{F_{11}\! \left(x \right) F_{33}\! \left(x \right)}\\
F_{240}\! \left(x \right) &= F_{241}\! \left(x \right)\\
F_{241}\! \left(x \right) &= -F_{329}\! \left(x \right)+F_{242}\! \left(x \right)\\
F_{242}\! \left(x \right) &= \frac{F_{243}\! \left(x \right)}{F_{11}\! \left(x \right)}\\
F_{243}\! \left(x \right) &= F_{244}\! \left(x \right)\\
F_{244}\! \left(x \right) &= F_{11}\! \left(x \right) F_{245}\! \left(x \right)\\
F_{245}\! \left(x \right) &= F_{246}\! \left(x \right)+F_{291}\! \left(x \right)\\
F_{246}\! \left(x \right) &= F_{247}\! \left(x \right)\\
F_{247}\! \left(x \right) &= F_{11} \left(x \right)^{2} F_{248}\! \left(x \right) F_{33}\! \left(x \right)\\
F_{248}\! \left(x \right) &= F_{249}\! \left(x \right)+F_{290}\! \left(x \right)\\
F_{249}\! \left(x \right) &= F_{250}\! \left(x \right)+F_{257}\! \left(x \right)\\
F_{250}\! \left(x \right) &= F_{251}\! \left(x \right)+F_{252}\! \left(x \right)\\
F_{251}\! \left(x \right) &= F_{33}\! \left(x \right) F_{56}\! \left(x \right)\\
F_{252}\! \left(x \right) &= F_{253}\! \left(x \right)\\
F_{253}\! \left(x \right) &= F_{11}\! \left(x \right) F_{254}\! \left(x \right)\\
F_{254}\! \left(x \right) &= F_{255}\! \left(x \right)+F_{59}\! \left(x \right)\\
F_{255}\! \left(x \right) &= F_{256}\! \left(x \right)\\
F_{256}\! \left(x \right) &= F_{152}\! \left(x \right) F_{31}\! \left(x \right)\\
F_{257}\! \left(x \right) &= F_{149}\! \left(x \right) F_{258}\! \left(x \right)\\
F_{258}\! \left(x \right) &= F_{259}\! \left(x \right)\\
F_{259}\! \left(x \right) &= F_{11}\! \left(x \right) F_{260}\! \left(x \right)\\
F_{260}\! \left(x \right) &= F_{258}\! \left(x \right)+F_{261}\! \left(x \right)\\
F_{261}\! \left(x \right) &= F_{262}\! \left(x \right)\\
F_{262}\! \left(x \right) &= F_{11}\! \left(x \right) F_{263}\! \left(x \right)\\
F_{263}\! \left(x \right) &= F_{264}\! \left(x \right)+F_{54}\! \left(x \right)\\
F_{264}\! \left(x \right) &= F_{265}\! \left(x \right)\\
F_{265}\! \left(x \right) &= F_{11}\! \left(x \right) F_{266}\! \left(x \right)\\
F_{266}\! \left(x \right) &= F_{267}\! \left(x \right)+F_{273}\! \left(x \right)\\
F_{267}\! \left(x \right) &= F_{268}\! \left(x \right)+F_{281}\! \left(x \right)\\
F_{268}\! \left(x \right) &= F_{269}\! \left(x \right)+F_{288}\! \left(x \right)\\
F_{269}\! \left(x \right) &= -F_{281}\! \left(x \right)+F_{270}\! \left(x \right)\\
F_{270}\! \left(x \right) &= -F_{273}\! \left(x \right)+F_{271}\! \left(x \right)\\
F_{271}\! \left(x \right) &= \frac{F_{272}\! \left(x \right)}{F_{11}\! \left(x \right)}\\
F_{272}\! \left(x \right) &= F_{185}\! \left(x \right)\\
F_{273}\! \left(x \right) &= F_{274}\! \left(x \right)\\
F_{274}\! \left(x \right) &= F_{11}\! \left(x \right) F_{275}\! \left(x \right) F_{56}\! \left(x \right)\\
F_{275}\! \left(x \right) &= \frac{F_{276}\! \left(x \right)}{F_{11}\! \left(x \right)}\\
F_{276}\! \left(x \right) &= F_{277}\! \left(x \right)\\
F_{277}\! \left(x \right) &= \frac{F_{278}\! \left(x \right)}{F_{11}\! \left(x \right) F_{56}\! \left(x \right)}\\
F_{278}\! \left(x \right) &= F_{279}\! \left(x \right)\\
F_{279}\! \left(x \right) &= -F_{280}\! \left(x \right)+F_{138}\! \left(x \right)\\
F_{280}\! \left(x \right) &= F_{105}\! \left(x \right)+F_{188}\! \left(x \right)\\
F_{281}\! \left(x \right) &= \frac{F_{282}\! \left(x \right)}{F_{11}\! \left(x \right)}\\
F_{282}\! \left(x \right) &= F_{283}\! \left(x \right)\\
F_{283}\! \left(x \right) &= -F_{284}\! \left(x \right)+F_{138}\! \left(x \right)\\
F_{284}\! \left(x \right) &= F_{285}\! \left(x \right)\\
F_{285}\! \left(x \right) &= F_{286}\! \left(x \right)+F_{287}\! \left(x \right)\\
F_{286}\! \left(x \right) &= F_{188}\! \left(x \right)+F_{94}\! \left(x \right)\\
F_{287}\! \left(x \right) &= F_{279}\! \left(x \right)\\
F_{288}\! \left(x \right) &= F_{289}\! \left(x \right)\\
F_{289}\! \left(x \right) &= F_{136}\! \left(x \right) F_{154}\! \left(x \right) F_{56}\! \left(x \right)\\
F_{290}\! \left(x \right) &= F_{149}\! \left(x \right) F_{261}\! \left(x \right)\\
F_{291}\! \left(x \right) &= F_{292}\! \left(x \right)\\
F_{292}\! \left(x \right) &= F_{293}\! \left(x \right) F_{33}\! \left(x \right)\\
F_{293}\! \left(x \right) &= F_{294}\! \left(x \right)\\
F_{294}\! \left(x \right) &= F_{11}\! \left(x \right) F_{295}\! \left(x \right)\\
F_{295}\! \left(x \right) &= F_{296}\! \left(x \right)+F_{325}\! \left(x \right)\\
F_{296}\! \left(x \right) &= F_{297}\! \left(x \right)+F_{308}\! \left(x \right)\\
F_{297}\! \left(x \right) &= F_{298}\! \left(x \right)+F_{301}\! \left(x \right)\\
F_{298}\! \left(x \right) &= F_{299}\! \left(x \right)\\
F_{299}\! \left(x \right) &= F_{300}\! \left(x \right)+F_{4}\! \left(x \right)\\
F_{300}\! \left(x \right) &= F_{2}\! \left(x \right) F_{209}\! \left(x \right)\\
F_{301}\! \left(x \right) &= F_{302}\! \left(x \right)\\
F_{302}\! \left(x \right) &= F_{11}\! \left(x \right) F_{303}\! \left(x \right)\\
F_{303}\! \left(x \right) &= F_{304}\! \left(x \right)\\
F_{304}\! \left(x \right) &= F_{11}\! \left(x \right) F_{305}\! \left(x \right)\\
F_{305}\! \left(x \right) &= F_{269}\! \left(x \right)+F_{306}\! \left(x \right)\\
F_{306}\! \left(x \right) &= F_{307}\! \left(x \right)\\
F_{307}\! \left(x \right) &= F_{11}\! \left(x \right) F_{269}\! \left(x \right) F_{56}\! \left(x \right)\\
F_{308}\! \left(x \right) &= -F_{301}\! \left(x \right)+F_{309}\! \left(x \right)\\
F_{309}\! \left(x \right) &= -F_{321}\! \left(x \right)+F_{310}\! \left(x \right)\\
F_{310}\! \left(x \right) &= \frac{F_{311}\! \left(x \right)}{F_{11}\! \left(x \right)}\\
F_{311}\! \left(x \right) &= F_{312}\! \left(x \right)\\
F_{312}\! \left(x \right) &= \frac{F_{313}\! \left(x \right)}{F_{56}\! \left(x \right)}\\
F_{313}\! \left(x \right) &= -F_{318}\! \left(x \right)+F_{314}\! \left(x \right)\\
F_{314}\! \left(x \right) &= F_{133}\! \left(x \right)+F_{315}\! \left(x \right)\\
F_{315}\! \left(x \right) &= F_{316}\! \left(x \right) F_{56}\! \left(x \right)\\
F_{316}\! \left(x \right) &= F_{317}\! \left(x \right)\\
F_{317}\! \left(x \right) &= F_{11}\! \left(x \right) F_{286}\! \left(x \right)\\
F_{318}\! \left(x \right) &= F_{319}\! \left(x \right)\\
F_{319}\! \left(x \right) &= F_{133}\! \left(x \right)+F_{320}\! \left(x \right)\\
F_{320}\! \left(x \right) &= F_{56} \left(x \right)^{2} F_{2}\! \left(x \right)\\
F_{321}\! \left(x \right) &= F_{322}\! \left(x \right)\\
F_{322}\! \left(x \right) &= F_{11}\! \left(x \right) F_{323}\! \left(x \right)\\
F_{323}\! \left(x \right) &= F_{299}\! \left(x \right)+F_{324}\! \left(x \right)\\
F_{324}\! \left(x \right) &= F_{209}\! \left(x \right) F_{261}\! \left(x \right)\\
F_{325}\! \left(x \right) &= F_{326}\! \left(x \right)\\
F_{326}\! \left(x \right) &= F_{11}\! \left(x \right) F_{327}\! \left(x \right)\\
F_{327}\! \left(x \right) &= F_{299}\! \left(x \right)+F_{328}\! \left(x \right)\\
F_{328}\! \left(x \right) &= F_{209}\! \left(x \right) F_{51}\! \left(x \right)\\
F_{329}\! \left(x \right) &= F_{330}\! \left(x \right)+F_{333}\! \left(x \right)\\
F_{330}\! \left(x \right) &= F_{331}\! \left(x \right)\\
F_{331}\! \left(x \right) &= F_{11}\! \left(x \right) F_{33}\! \left(x \right) F_{332}\! \left(x \right)\\
F_{332}\! \left(x \right) &= F_{2}\! \left(x \right)+F_{236}\! \left(x \right)\\
F_{333}\! \left(x \right) &= F_{334}\! \left(x \right)\\
F_{334}\! \left(x \right) &= F_{33}\! \left(x \right) F_{335}\! \left(x \right) F_{67}\! \left(x \right)\\
F_{335}\! \left(x \right) &= F_{336}\! \left(x \right)\\
F_{336}\! \left(x \right) &= F_{11}\! \left(x \right) F_{13}\! \left(x \right)\\
F_{337}\! \left(x \right) &= F_{338}\! \left(x \right)\\
F_{338}\! \left(x \right) &= F_{11}\! \left(x \right) F_{174}\! \left(x \right) F_{67}\! \left(x \right)\\
F_{339}\! \left(x \right) &= F_{340}\! \left(x \right)\\
F_{340}\! \left(x \right) &= F_{11}\! \left(x \right) F_{341}\! \left(x \right)\\
F_{341}\! \left(x \right) &= F_{342}\! \left(x \right)\\
F_{342}\! \left(x \right) &= F_{11}\! \left(x \right) F_{209}\! \left(x \right) F_{286}\! \left(x \right)\\
F_{343}\! \left(x \right) &= F_{174}\! \left(x \right) F_{344}\! \left(x \right)\\
F_{344}\! \left(x \right) &= F_{345}\! \left(x \right)\\
F_{345}\! \left(x \right) &= F_{11}\! \left(x \right) F_{296}\! \left(x \right)\\
F_{346}\! \left(x \right) &= F_{174}\! \left(x \right) F_{347}\! \left(x \right)\\
F_{347}\! \left(x \right) &= F_{348}\! \left(x \right)\\
F_{348}\! \left(x \right) &= F_{11}\! \left(x \right) F_{132}\! \left(x \right)\\
F_{349}\! \left(x \right) &= F_{350}\! \left(x \right)\\
F_{350}\! \left(x \right) &= F_{136}\! \left(x \right) F_{174}\! \left(x \right) F_{56}\! \left(x \right)\\
F_{351}\! \left(x \right) &= -F_{359}\! \left(x \right)+F_{352}\! \left(x \right)\\
F_{352}\! \left(x \right) &= -F_{353}\! \left(x \right)+F_{84}\! \left(x \right)\\
F_{353}\! \left(x \right) &= F_{354}\! \left(x \right)\\
F_{354}\! \left(x \right) &= F_{11}\! \left(x \right) F_{355}\! \left(x \right)\\
F_{355}\! \left(x \right) &= -F_{356}\! \left(x \right)+F_{268}\! \left(x \right)\\
F_{356}\! \left(x \right) &= F_{357}\! \left(x \right)+F_{59}\! \left(x \right)\\
F_{357}\! \left(x \right) &= F_{358}\! \left(x \right)\\
F_{358}\! \left(x \right) &= F_{154}\! \left(x \right) F_{2}\! \left(x \right) F_{56}\! \left(x \right)\\
F_{359}\! \left(x \right) &= F_{360}\! \left(x \right)\\
F_{360}\! \left(x \right) &= F_{174}\! \left(x \right) F_{2}\! \left(x \right) F_{56}\! \left(x \right)\\
F_{361}\! \left(x \right) &= \frac{F_{362}\! \left(x \right)}{F_{11}\! \left(x \right)}\\
F_{362}\! \left(x \right) &= F_{363}\! \left(x \right)\\
F_{363}\! \left(x \right) &= F_{11}\! \left(x \right) F_{138}\! \left(x \right) F_{174}\! \left(x \right) F_{96}\! \left(x \right)\\
F_{364}\! \left(x \right) &= F_{365}\! \left(x \right)\\
F_{365}\! \left(x \right) &= \frac{F_{366}\! \left(x \right)}{F_{11}\! \left(x \right)}\\
F_{366}\! \left(x \right) &= F_{367}\! \left(x \right)\\
F_{367}\! \left(x \right) &= F_{11}\! \left(x \right) F_{186}\! \left(x \right) F_{56}\! \left(x \right) F_{81}\! \left(x \right)\\
F_{368}\! \left(x \right) &= F_{154}\! \left(x \right) F_{2}\! \left(x \right)\\
F_{369}\! \left(x \right) &= F_{370}\! \left(x \right)\\
F_{370}\! \left(x \right) &= F_{11}\! \left(x \right) F_{268}\! \left(x \right)\\
F_{371}\! \left(x \right) &= F_{3}\! \left(x \right)\\
F_{372}\! \left(x \right) &= F_{373}\! \left(x \right)\\
F_{373}\! \left(x \right) &= F_{11}\! \left(x \right) F_{374}\! \left(x \right)\\
F_{374}\! \left(x \right) &= F_{375}\! \left(x \right)+F_{376}\! \left(x \right)\\
F_{375}\! \left(x \right) &= F_{30}\! \left(x \right) F_{33}\! \left(x \right) F_{4}\! \left(x \right)\\
F_{376}\! \left(x \right) &= F_{377}\! \left(x \right) F_{50}\! \left(x \right)\\
F_{377}\! \left(x \right) &= F_{378}\! \left(x \right)+F_{380}\! \left(x \right)\\
F_{378}\! \left(x \right) &= F_{26}\! \left(x \right)+F_{37}\! \left(x \right)+F_{379}\! \left(x \right)\\
F_{379}\! \left(x \right) &= F_{11}\! \left(x \right) F_{378}\! \left(x \right)\\
F_{380}\! \left(x \right) &= F_{31}\! \left(x \right) F_{36}\! \left(x \right)\\
F_{381}\! \left(x \right) &= F_{382}\! \left(x \right)+F_{8}\! \left(x \right)\\
F_{382}\! \left(x \right) &= F_{31}\! \left(x \right)+F_{383}\! \left(x \right)\\
F_{383}\! \left(x \right) &= F_{26}\! \left(x \right)+F_{28}\! \left(x \right)+F_{384}\! \left(x \right)\\
F_{384}\! \left(x \right) &= F_{11}\! \left(x \right) F_{385}\! \left(x \right)\\
F_{385}\! \left(x \right) &= F_{383}\! \left(x \right)+F_{9}\! \left(x \right)\\
F_{386}\! \left(x \right) &= F_{387}\! \left(x \right)\\
F_{387}\! \left(x \right) &= F_{11}\! \left(x \right) F_{388}\! \left(x \right)\\
F_{388}\! \left(x \right) &= F_{389}\! \left(x \right)+F_{450}\! \left(x \right)\\
F_{389}\! \left(x \right) &= F_{390}\! \left(x \right)+F_{406}\! \left(x \right)\\
F_{390}\! \left(x \right) &= F_{391}\! \left(x \right)\\
F_{391}\! \left(x \right) &= F_{11}\! \left(x \right) F_{392}\! \left(x \right) F_{399}\! \left(x \right)\\
F_{392}\! \left(x \right) &= F_{393}\! \left(x \right)+F_{394}\! \left(x \right)\\
F_{393}\! \left(x \right) &= F_{13}\! \left(x \right) F_{54}\! \left(x \right)\\
F_{394}\! \left(x \right) &= -F_{397}\! \left(x \right)+F_{395}\! \left(x \right)\\
F_{395}\! \left(x \right) &= \frac{F_{396}\! \left(x \right)}{F_{11}\! \left(x \right)}\\
F_{396}\! \left(x \right) &= F_{397}\! \left(x \right)\\
F_{397}\! \left(x \right) &= F_{398}\! \left(x \right)\\
F_{398}\! \left(x \right) &= F_{11} \left(x \right)^{2} F_{113}\! \left(x \right) F_{356}\! \left(x \right)\\
F_{399}\! \left(x \right) &= F_{1}\! \left(x \right)+F_{400}\! \left(x \right)\\
F_{400}\! \left(x \right) &= F_{401}\! \left(x \right)\\
F_{401}\! \left(x \right) &= F_{11}\! \left(x \right) F_{402}\! \left(x \right)\\
F_{402}\! \left(x \right) &= F_{399}\! \left(x \right)+F_{403}\! \left(x \right)\\
F_{403}\! \left(x \right) &= F_{11}\! \left(x \right)+F_{404}\! \left(x \right)\\
F_{404}\! \left(x \right) &= F_{405}\! \left(x \right)\\
F_{405}\! \left(x \right) &= F_{11}\! \left(x \right) F_{400}\! \left(x \right)\\
F_{406}\! \left(x \right) &= -F_{448}\! \left(x \right)+F_{407}\! \left(x \right)\\
F_{407}\! \left(x \right) &= F_{408}\! \left(x \right)+F_{410}\! \left(x \right)\\
F_{408}\! \left(x \right) &= F_{409}\! \left(x \right)\\
F_{409}\! \left(x \right) &= F_{11}\! \left(x \right) F_{390}\! \left(x \right)\\
F_{410}\! \left(x \right) &= F_{316}\! \left(x \right) F_{411}\! \left(x \right)\\
F_{411}\! \left(x \right) &= \frac{F_{412}\! \left(x \right)}{F_{2}\! \left(x \right) F_{56}\! \left(x \right)}\\
F_{412}\! \left(x \right) &= F_{413}\! \left(x \right)\\
F_{413}\! \left(x \right) &= -F_{432}\! \left(x \right)+F_{414}\! \left(x \right)\\
F_{414}\! \left(x \right) &= -F_{427}\! \left(x \right)+F_{415}\! \left(x \right)\\
F_{415}\! \left(x \right) &= -F_{424}\! \left(x \right)+F_{416}\! \left(x \right)\\
F_{416}\! \left(x \right) &= \frac{F_{417}\! \left(x \right)}{F_{11}\! \left(x \right)}\\
F_{417}\! \left(x \right) &= F_{418}\! \left(x \right)\\
F_{418}\! \left(x \right) &= F_{11}\! \left(x \right) F_{419}\! \left(x \right)\\
F_{419}\! \left(x \right) &= F_{420}\! \left(x \right)+F_{421}\! \left(x \right)\\
F_{420}\! \left(x \right) &= F_{227}\! \left(x \right) F_{56}\! \left(x \right)\\
F_{421}\! \left(x \right) &= F_{174}\! \left(x \right) F_{4}\! \left(x \right) F_{422}\! \left(x \right)\\
F_{422}\! \left(x \right) &= F_{423}\! \left(x \right)\\
F_{423}\! \left(x \right) &= F_{11}\! \left(x \right) F_{96}\! \left(x \right)\\
F_{424}\! \left(x \right) &= F_{425}\! \left(x \right)\\
F_{425}\! \left(x \right) &= F_{154}\! \left(x \right) F_{2}\! \left(x \right) F_{426}\! \left(x \right)\\
F_{426}\! \left(x \right) &= F_{422}\! \left(x \right)+F_{56}\! \left(x \right)\\
F_{427}\! \left(x \right) &= -F_{431}\! \left(x \right)+F_{428}\! \left(x \right)\\
F_{428}\! \left(x \right) &= -F_{429}\! \left(x \right)+F_{416}\! \left(x \right)\\
F_{429}\! \left(x \right) &= F_{430}\! \left(x \right)\\
F_{430}\! \left(x \right) &= F_{154}\! \left(x \right) F_{2}\! \left(x \right) F_{422}\! \left(x \right)\\
F_{431}\! \left(x \right) &= F_{432}\! \left(x \right)+F_{439}\! \left(x \right)\\
F_{432}\! \left(x \right) &= F_{433}\! \left(x \right)\\
F_{433}\! \left(x \right) &= F_{11}\! \left(x \right) F_{434}\! \left(x \right) F_{56}\! \left(x \right)\\
F_{434}\! \left(x \right) &= F_{435}\! \left(x \right)\\
F_{435}\! \left(x \right) &= F_{11}\! \left(x \right) F_{399}\! \left(x \right) F_{436}\! \left(x \right)\\
F_{436}\! \left(x \right) &= F_{437}\! \left(x \right)+F_{438}\! \left(x \right)\\
F_{437}\! \left(x \right) &= F_{13}\! \left(x \right) F_{55}\! \left(x \right)\\
F_{438}\! \left(x \right) &= F_{58}\! \left(x \right)\\
F_{439}\! \left(x \right) &= F_{440}\! \left(x \right)\\
F_{440}\! \left(x \right) &= F_{2}\! \left(x \right) F_{441}\! \left(x \right) F_{56}\! \left(x \right)\\
F_{441}\! \left(x \right) &= \frac{F_{442}\! \left(x \right)}{F_{2}\! \left(x \right)}\\
F_{442}\! \left(x \right) &= -F_{446}\! \left(x \right)+F_{443}\! \left(x \right)\\
F_{443}\! \left(x \right) &= F_{408}\! \left(x \right)+F_{444}\! \left(x \right)\\
F_{444}\! \left(x \right) &= F_{445}\! \left(x \right)\\
F_{445}\! \left(x \right) &= F_{13}\! \left(x \right) F_{154}\! \left(x \right) F_{2}\! \left(x \right)\\
F_{446}\! \left(x \right) &= F_{447}\! \left(x \right)\\
F_{447}\! \left(x \right) &= F_{11}\! \left(x \right) F_{434}\! \left(x \right)\\
F_{448}\! \left(x \right) &= F_{449}\! \left(x \right)\\
F_{449}\! \left(x \right) &= F_{11}\! \left(x \right) F_{154}\! \left(x \right) F_{316}\! \left(x \right)\\
F_{450}\! \left(x \right) &= F_{451}\! \left(x \right)\\
F_{451}\! \left(x \right) &= F_{409}\! \left(x \right)\\
F_{452}\! \left(x \right) &= F_{453}\! \left(x \right)\\
F_{453}\! \left(x \right) &= F_{11}\! \left(x \right) F_{454}\! \left(x \right)\\
F_{454}\! \left(x \right) &= F_{455}\! \left(x \right)+F_{484}\! \left(x \right)\\
F_{455}\! \left(x \right) &= F_{456}\! \left(x \right)+F_{474}\! \left(x \right)\\
F_{456}\! \left(x \right) &= \frac{F_{457}\! \left(x \right)}{F_{11}\! \left(x \right)}\\
F_{457}\! \left(x \right) &= F_{458}\! \left(x \right)\\
F_{458}\! \left(x \right) &= -F_{468}\! \left(x \right)+F_{459}\! \left(x \right)\\
F_{459}\! \left(x \right) &= F_{460}\! \left(x \right)\\
F_{460}\! \left(x \right) &= -F_{463}\! \left(x \right)+F_{461}\! \left(x \right)\\
F_{461}\! \left(x \right) &= \frac{F_{462}\! \left(x \right)}{F_{11}\! \left(x \right)}\\
F_{462}\! \left(x \right) &= F_{232}\! \left(x \right)\\
F_{463}\! \left(x \right) &= F_{154}\! \left(x \right) F_{464}\! \left(x \right)\\
F_{464}\! \left(x \right) &= F_{465}\! \left(x \right)\\
F_{465}\! \left(x \right) &= F_{11}\! \left(x \right) F_{466}\! \left(x \right)\\
F_{466}\! \left(x \right) &= F_{347}\! \left(x \right)+F_{467}\! \left(x \right)\\
F_{467}\! \left(x \right) &= F_{344}\! \left(x \right)+F_{4}\! \left(x \right)\\
F_{468}\! \left(x \right) &= F_{451}\! \left(x \right)+F_{469}\! \left(x \right)\\
F_{469}\! \left(x \right) &= F_{470}\! \left(x \right)\\
F_{470}\! \left(x \right) &= F_{154}\! \left(x \right) F_{471}\! \left(x \right)\\
F_{471}\! \left(x \right) &= F_{472}\! \left(x \right)\\
F_{472}\! \left(x \right) &= F_{11}\! \left(x \right) F_{473}\! \left(x \right)\\
F_{473}\! \left(x \right) &= F_{2}\! \left(x \right)+F_{261}\! \left(x \right)\\
F_{474}\! \left(x \right) &= F_{458}\! \left(x \right)+F_{475}\! \left(x \right)\\
F_{475}\! \left(x \right) &= F_{476}\! \left(x \right)\\
F_{476}\! \left(x \right) &= F_{11}\! \left(x \right) F_{477}\! \left(x \right)\\
F_{477}\! \left(x \right) &= \frac{F_{478}\! \left(x \right)}{F_{11}\! \left(x \right)}\\
F_{478}\! \left(x \right) &= F_{479}\! \left(x \right)\\
F_{479}\! \left(x \right) &= F_{11}\! \left(x \right) F_{480}\! \left(x \right)\\
F_{480}\! \left(x \right) &= F_{481}\! \left(x \right)\\
F_{481}\! \left(x \right) &= F_{100}\! \left(x \right) F_{482}\! \left(x \right)\\
F_{482}\! \left(x \right) &= F_{321}\! \left(x \right)+F_{483}\! \left(x \right)\\
F_{483}\! \left(x \right) &= F_{309}\! \left(x \right) F_{56}\! \left(x \right)\\
F_{484}\! \left(x \right) &= F_{485}\! \left(x \right)\\
F_{485}\! \left(x \right) &= F_{486}\! \left(x \right)+F_{498}\! \left(x \right)\\
F_{486}\! \left(x \right) &= -F_{407}\! \left(x \right)+F_{487}\! \left(x \right)\\
F_{487}\! \left(x \right) &= F_{488}\! \left(x \right)\\
F_{488}\! \left(x \right) &= -F_{497}\! \left(x \right)+F_{489}\! \left(x \right)\\
F_{489}\! \left(x \right) &= \frac{F_{490}\! \left(x \right)}{F_{11}\! \left(x \right)}\\
F_{490}\! \left(x \right) &= F_{491}\! \left(x \right)\\
F_{491}\! \left(x \right) &= -F_{493}\! \left(x \right)+F_{492}\! \left(x \right)\\
F_{492}\! \left(x \right) &= F_{225}\! \left(x \right)+F_{86}\! \left(x \right)\\
F_{493}\! \left(x \right) &= F_{494}\! \left(x \right)\\
F_{494}\! \left(x \right) &= F_{11}\! \left(x \right) F_{495}\! \left(x \right)\\
F_{495}\! \left(x \right) &= F_{228}\! \left(x \right)+F_{496}\! \left(x \right)\\
F_{496}\! \left(x \right) &= F_{11}\! \left(x \right) F_{174}\! \left(x \right) F_{4}\! \left(x \right)\\
F_{497}\! \left(x \right) &= F_{136}\! \left(x \right) F_{154}\! \left(x \right)\\
F_{498}\! \left(x \right) &= F_{499}\! \left(x \right)\\
F_{499}\! \left(x \right) &= F_{11}\! \left(x \right) F_{174}\! \left(x \right) F_{275}\! \left(x \right)\\
\end{align*}\)
This specification was found using the strategy pack "Point Placements Tracked Fusion Tracked Component Fusion Symmetries" and has 389 rules.
Finding the specification took 141926 seconds.
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\(\begin{align*}
F_{0}\! \left(x \right) &= F_{1}\! \left(x \right)+F_{2}\! \left(x \right)\\
F_{1}\! \left(x \right) &= 1\\
F_{2}\! \left(x \right) &= F_{3}\! \left(x \right)\\
F_{3}\! \left(x \right) &= F_{12}\! \left(x \right) F_{4}\! \left(x \right)\\
F_{4}\! \left(x \right) &= F_{5}\! \left(x \right)+F_{6}\! \left(x \right)\\
F_{5}\! \left(x \right) &= x F_{5} \left(x \right)^{3}-x F_{5} \left(x \right)^{2}+x F_{5}\! \left(x \right)+1\\
F_{6}\! \left(x \right) &= F_{7}\! \left(x \right)\\
F_{7}\! \left(x \right) &= F_{12}\! \left(x \right) F_{8}\! \left(x \right)\\
F_{8}\! \left(x \right) &= F_{315}\! \left(x \right)+F_{9}\! \left(x \right)\\
F_{9}\! \left(x \right) &= F_{10}\! \left(x \right)+F_{13}\! \left(x \right)\\
F_{10}\! \left(x \right) &= \frac{F_{11}\! \left(x \right)}{F_{12}\! \left(x \right)}\\
F_{11}\! \left(x \right) &= F_{2}\! \left(x \right)\\
F_{12}\! \left(x \right) &= x\\
F_{13}\! \left(x \right) &= F_{14}\! \left(x \right)+F_{273}\! \left(x \right)\\
F_{14}\! \left(x \right) &= F_{15}\! \left(x , 1\right)\\
F_{15}\! \left(x , y\right) &= F_{16}\! \left(x , y\right)+F_{24}\! \left(x , y\right)\\
F_{16}\! \left(x , y\right) &= F_{17}\! \left(x , y\right)\\
F_{17}\! \left(x , y\right) &= F_{18}\! \left(x , y\right) F_{19}\! \left(x , y\right)\\
F_{18}\! \left(x , y\right) &= y x\\
F_{19}\! \left(x , y\right) &= F_{20}\! \left(x , y\right)+F_{21}\! \left(x , y\right)\\
F_{20}\! \left(x , y\right) &= F_{1}\! \left(x \right)+F_{16}\! \left(x , y\right)\\
F_{21}\! \left(x , y\right) &= F_{18}\! \left(x , y\right)+F_{22}\! \left(x , y\right)\\
F_{22}\! \left(x , y\right) &= F_{23}\! \left(x , y\right)\\
F_{23}\! \left(x , y\right) &= F_{16}\! \left(x , y\right) F_{18}\! \left(x , y\right)\\
F_{24}\! \left(x , y\right) &= F_{25}\! \left(x , y\right)\\
F_{25}\! \left(x , y\right) &= F_{18}\! \left(x , y\right) F_{26}\! \left(x , y\right)\\
F_{26}\! \left(x , y\right) &= F_{268}\! \left(x , y\right)+F_{27}\! \left(x , y\right)\\
F_{27}\! \left(x , y\right) &= F_{28}\! \left(x , y\right)+F_{29}\! \left(x , y\right)\\
F_{28}\! \left(x , y\right) &= F_{2}\! \left(x \right)+F_{24}\! \left(x , y\right)\\
F_{29}\! \left(x , y\right) &= y F_{30}\! \left(x , y\right)\\
F_{30}\! \left(x , y\right) &= F_{31}\! \left(x , y\right)\\
F_{31}\! \left(x , y\right) &= F_{12}\! \left(x \right) F_{32}\! \left(x , y\right)\\
F_{32}\! \left(x , y\right) &= F_{28}\! \left(x , y\right)+F_{33}\! \left(x , y\right)\\
F_{33}\! \left(x , y\right) &= F_{34}\! \left(x , y\right)+F_{35}\! \left(x , y\right)\\
F_{34}\! \left(x , y\right) &= F_{2}\! \left(x \right) F_{20}\! \left(x , y\right)\\
F_{35}\! \left(x , y\right) &= F_{36}\! \left(x , y\right)\\
F_{36}\! \left(x , y\right) &= F_{12}\! \left(x \right) F_{37}\! \left(x , y\right)\\
F_{37}\! \left(x , y\right) &= F_{38}\! \left(x , y\right)+F_{42}\! \left(x , y\right)\\
F_{38}\! \left(x , y\right) &= F_{39}\! \left(x , y\right) F_{41}\! \left(x \right)\\
F_{40}\! \left(x , y\right) &= F_{12}\! \left(x \right) F_{39}\! \left(x , y\right)\\
F_{40}\! \left(x , y\right) &= F_{28}\! \left(x , y\right)\\
F_{41}\! \left(x \right) &= x F_{41} \left(x \right)^{3}+2 x F_{41} \left(x \right)^{2}+2 F_{41}\! \left(x \right) x +x\\
F_{42}\! \left(x , y\right) &= F_{43}\! \left(x , y\right)+F_{49}\! \left(x , y\right)\\
F_{43}\! \left(x , y\right) &= F_{20}\! \left(x , y\right) F_{44}\! \left(x \right)\\
F_{44}\! \left(x \right) &= F_{45}\! \left(x \right)+F_{6}\! \left(x \right)\\
F_{45}\! \left(x \right) &= F_{2}\! \left(x \right) F_{46}\! \left(x \right)\\
F_{46}\! \left(x \right) &= F_{47}\! \left(x , 1\right)\\
F_{47}\! \left(x , y\right) &= -\frac{y \left(F_{48}\! \left(x , 1\right)-F_{48}\! \left(x , y\right)\right)}{-1+y}\\
F_{48}\! \left(x , y\right) &= x F_{48}\! \left(x , y\right)^{3} y +2 x F_{48}\! \left(x , y\right)^{2} y +2 x F_{48}\! \left(x , y\right) y +y x\\
F_{49}\! \left(x , y\right) &= F_{50}\! \left(x , y\right)\\
F_{50}\! \left(x , y\right) &= F_{41}\! \left(x \right) F_{5}\! \left(x \right) F_{51}\! \left(x , y\right)\\
F_{51}\! \left(x , y\right) &= F_{28}\! \left(x , y\right)+F_{52}\! \left(x , y\right)\\
F_{52}\! \left(x , y\right) &= F_{53}\! \left(x , y\right)\\
F_{53}\! \left(x , y\right) &= F_{12}\! \left(x \right) F_{54}\! \left(x , y\right)\\
F_{54}\! \left(x , y\right) &= F_{247}\! \left(x , y\right)+F_{55}\! \left(x , y\right)\\
F_{55}\! \left(x , y\right) &= F_{56}\! \left(x , y\right)\\
F_{56}\! \left(x , y\right) &= F_{12}\! \left(x \right) F_{20}\! \left(x , y\right) F_{246}\! \left(x , y\right) F_{57}\! \left(x \right)\\
F_{57}\! \left(x \right) &= F_{213}\! \left(x \right)+F_{58}\! \left(x \right)\\
F_{58}\! \left(x \right) &= F_{101}\! \left(x \right) F_{59}\! \left(x \right)\\
F_{59}\! \left(x \right) &= F_{60}\! \left(x \right)+F_{87}\! \left(x \right)\\
F_{60}\! \left(x \right) &= F_{61}\! \left(x \right)\\
F_{61}\! \left(x \right) &= F_{62}\! \left(x \right)+F_{65}\! \left(x \right)\\
F_{62}\! \left(x \right) &= F_{1}\! \left(x \right)+F_{63}\! \left(x \right)\\
F_{63}\! \left(x \right) &= F_{64}\! \left(x \right)\\
F_{64}\! \left(x \right) &= F_{12}\! \left(x \right) F_{61}\! \left(x \right)\\
F_{65}\! \left(x \right) &= F_{66}\! \left(x \right)+F_{73}\! \left(x \right)\\
F_{66}\! \left(x \right) &= F_{67}\! \left(x \right)\\
F_{67}\! \left(x \right) &= F_{12}\! \left(x \right) F_{68}\! \left(x \right)\\
F_{68}\! \left(x \right) &= F_{69}\! \left(x \right)+F_{70}\! \left(x \right)\\
F_{69}\! \left(x \right) &= F_{1}\! \left(x \right)+F_{66}\! \left(x \right)\\
F_{70}\! \left(x \right) &= F_{12}\! \left(x \right)+F_{71}\! \left(x \right)\\
F_{71}\! \left(x \right) &= F_{72}\! \left(x \right)\\
F_{72}\! \left(x \right) &= F_{12}\! \left(x \right) F_{66}\! \left(x \right)\\
F_{73}\! \left(x \right) &= F_{74}\! \left(x \right)+F_{75}\! \left(x \right)+F_{83}\! \left(x \right)\\
F_{74}\! \left(x \right) &= 0\\
F_{75}\! \left(x \right) &= F_{12}\! \left(x \right) F_{76}\! \left(x \right)\\
F_{76}\! \left(x \right) &= F_{77}\! \left(x \right)+F_{78}\! \left(x \right)\\
F_{77}\! \left(x \right) &= F_{63}\! \left(x \right)+F_{73}\! \left(x \right)\\
F_{78}\! \left(x \right) &= F_{79}\! \left(x \right)+F_{81}\! \left(x \right)\\
F_{79}\! \left(x \right) &= F_{80}\! \left(x \right)\\
F_{80}\! \left(x \right) &= F_{12}\! \left(x \right) F_{63}\! \left(x \right)\\
F_{81}\! \left(x \right) &= F_{82}\! \left(x \right)\\
F_{82}\! \left(x \right) &= F_{12}\! \left(x \right) F_{73}\! \left(x \right)\\
F_{83}\! \left(x \right) &= F_{12}\! \left(x \right) F_{84}\! \left(x \right)\\
F_{84}\! \left(x \right) &= F_{85}\! \left(x \right)+F_{86}\! \left(x \right)\\
F_{85}\! \left(x \right) &= F_{12}\! \left(x \right)+F_{79}\! \left(x \right)\\
F_{86}\! \left(x \right) &= F_{71}\! \left(x \right)+F_{81}\! \left(x \right)\\
F_{87}\! \left(x \right) &= F_{88}\! \left(x , 1\right)\\
F_{89}\! \left(x , y\right) &= F_{173}\! \left(x , y\right)+F_{88}\! \left(x , y\right)\\
F_{89}\! \left(x , y\right) &= F_{90}\! \left(x \right)+F_{92}\! \left(x , y\right)\\
F_{90}\! \left(x \right) &= \frac{F_{91}\! \left(x \right)}{F_{12}\! \left(x \right)}\\
F_{91}\! \left(x \right) &= F_{2}\! \left(x \right)\\
F_{92}\! \left(x , y\right) &= F_{93}\! \left(x , y\right)\\
F_{93}\! \left(x , y\right) &= F_{18}\! \left(x , y\right) F_{94}\! \left(x , y\right)\\
F_{94}\! \left(x , y\right) &= F_{170}\! \left(x , y\right)+F_{95}\! \left(x , y\right)\\
F_{95}\! \left(x , y\right) &= F_{145}\! \left(x , y\right)+F_{96}\! \left(x \right)\\
F_{96}\! \left(x \right) &= -F_{137}\! \left(x \right)+F_{97}\! \left(x \right)\\
F_{97}\! \left(x \right) &= \frac{F_{98}\! \left(x \right)}{F_{12}\! \left(x \right)}\\
F_{98}\! \left(x \right) &= F_{99}\! \left(x \right)\\
F_{99}\! \left(x \right) &= F_{100}\! \left(x \right)+F_{102}\! \left(x \right)\\
F_{100}\! \left(x \right) &= F_{101}\! \left(x \right) F_{2}\! \left(x \right)\\
F_{101}\! \left(x \right) &= F_{1}\! \left(x \right)+F_{12}\! \left(x \right)\\
F_{102}\! \left(x \right) &= F_{103}\! \left(x \right)+F_{119}\! \left(x \right)\\
F_{103}\! \left(x \right) &= F_{104}\! \left(x \right)\\
F_{104}\! \left(x \right) &= F_{105}\! \left(x \right) F_{12}\! \left(x \right)\\
F_{105}\! \left(x \right) &= F_{106}\! \left(x \right)+F_{44}\! \left(x \right)\\
F_{106}\! \left(x \right) &= F_{107}\! \left(x \right)+F_{108}\! \left(x \right)\\
F_{107}\! \left(x \right) &= F_{0}\! \left(x \right) F_{41}\! \left(x \right)\\
F_{108}\! \left(x \right) &= F_{109}\! \left(x \right)\\
F_{109}\! \left(x \right) &= F_{110}\! \left(x \right) F_{117}\! \left(x \right) F_{12}\! \left(x \right)\\
F_{110}\! \left(x \right) &= F_{111}\! \left(x \right)+F_{112}\! \left(x \right)\\
F_{111}\! \left(x \right) &= F_{106}\! \left(x \right)+F_{4}\! \left(x \right)\\
F_{112}\! \left(x \right) &= -F_{106}\! \left(x \right)+F_{113}\! \left(x \right)\\
F_{113}\! \left(x \right) &= \frac{F_{114}\! \left(x \right)}{F_{12}\! \left(x \right)}\\
F_{114}\! \left(x \right) &= F_{115}\! \left(x \right)\\
F_{115}\! \left(x \right) &= -F_{2}\! \left(x \right)+F_{116}\! \left(x \right)\\
F_{116}\! \left(x \right) &= -F_{0}\! \left(x \right)+F_{10}\! \left(x \right)\\
F_{117}\! \left(x \right) &= F_{118}\! \left(x \right)+F_{41}\! \left(x \right)\\
F_{118}\! \left(x \right) &= F_{41}\! \left(x \right) F_{5}\! \left(x \right)\\
F_{119}\! \left(x \right) &= F_{120}\! \left(x \right)\\
F_{120}\! \left(x \right) &= F_{12}\! \left(x \right) F_{121}\! \left(x \right) F_{125}\! \left(x \right)\\
F_{121}\! \left(x \right) &= F_{122}\! \left(x \right)\\
F_{122}\! \left(x \right) &= F_{12}\! \left(x \right) F_{123}\! \left(x \right)\\
F_{123}\! \left(x \right) &= F_{124}\! \left(x \right)+F_{2}\! \left(x \right)\\
F_{124}\! \left(x \right) &= F_{103}\! \left(x \right)+F_{2}\! \left(x \right)\\
F_{125}\! \left(x \right) &= \frac{F_{126}\! \left(x \right)}{F_{62}\! \left(x \right)}\\
F_{126}\! \left(x \right) &= -F_{132}\! \left(x \right)+F_{127}\! \left(x \right)\\
F_{127}\! \left(x \right) &= \frac{F_{128}\! \left(x \right)}{F_{12}\! \left(x \right)}\\
F_{128}\! \left(x \right) &= F_{129}\! \left(x \right)\\
F_{129}\! \left(x \right) &= -F_{62}\! \left(x \right)+F_{130}\! \left(x \right)\\
F_{130}\! \left(x \right) &= \frac{F_{131}\! \left(x \right)}{F_{12}\! \left(x \right)}\\
F_{131}\! \left(x \right) &= F_{2}\! \left(x \right)\\
F_{132}\! \left(x \right) &= -F_{136}\! \left(x \right)+F_{133}\! \left(x \right)\\
F_{133}\! \left(x \right) &= \frac{F_{134}\! \left(x \right)}{F_{12}\! \left(x \right)}\\
F_{134}\! \left(x \right) &= F_{135}\! \left(x \right)\\
F_{135}\! \left(x \right) &= -F_{41}\! \left(x \right)+F_{129}\! \left(x \right)\\
F_{136}\! \left(x \right) &= F_{125}\! \left(x \right) F_{63}\! \left(x \right)\\
F_{137}\! \left(x \right) &= F_{138}\! \left(x \right)\\
F_{138}\! \left(x \right) &= F_{139}\! \left(x \right)\\
F_{139}\! \left(x \right) &= F_{12}\! \left(x \right) F_{140}\! \left(x \right)\\
F_{140}\! \left(x \right) &= F_{141}\! \left(x \right)+F_{144}\! \left(x \right)\\
F_{141}\! \left(x \right) &= F_{142}\! \left(x \right)+F_{90}\! \left(x \right)\\
F_{142}\! \left(x \right) &= F_{143}\! \left(x \right) F_{2}\! \left(x \right)\\
F_{143}\! \left(x \right) &= F_{125}\! \left(x \right)\\
F_{144}\! \left(x \right) &= F_{124}\! \left(x \right) F_{143}\! \left(x \right)\\
F_{146}\! \left(x , y\right) &= F_{145}\! \left(x , y\right)+F_{161}\! \left(x , y\right)\\
F_{147}\! \left(x , y\right) &= F_{12}\! \left(x \right) F_{146}\! \left(x , y\right)\\
F_{147}\! \left(x , y\right) &= F_{148}\! \left(x , y\right)\\
F_{148}\! \left(x , y\right) &= F_{149}\! \left(x , y\right)+F_{151}\! \left(x , y\right)\\
F_{149}\! \left(x , y\right) &= F_{150}\! \left(x , y\right)\\
F_{150}\! \left(x , y\right) &= F_{101}\! \left(x \right) F_{16}\! \left(x , y\right) F_{2}\! \left(x \right)\\
F_{152}\! \left(x , y\right) &= F_{102}\! \left(x \right)+F_{151}\! \left(x , y\right)\\
F_{152}\! \left(x , y\right) &= F_{153}\! \left(x , y\right)+F_{35}\! \left(x , y\right)\\
F_{153}\! \left(x , y\right) &= F_{154}\! \left(x , y\right)\\
F_{154}\! \left(x , y\right) &= F_{12}\! \left(x \right) F_{155}\! \left(x , y\right)\\
F_{155}\! \left(x , y\right) &= F_{156}\! \left(x , y\right)\\
F_{156}\! \left(x , y\right) &= F_{12}\! \left(x \right) F_{157}\! \left(x \right) F_{32}\! \left(x , y\right)\\
F_{157}\! \left(x \right) &= F_{158}\! \left(x \right)\\
F_{158}\! \left(x \right) &= F_{159}\! \left(x \right)+F_{5}\! \left(x \right)\\
F_{159}\! \left(x \right) &= F_{160}\! \left(x \right)\\
F_{160}\! \left(x \right) &= F_{5} \left(x \right)^{2} F_{12}\! \left(x \right) F_{158}\! \left(x \right)\\
F_{161}\! \left(x , y\right) &= F_{162}\! \left(x , y\right)\\
F_{162}\! \left(x , y\right) &= F_{163}\! \left(x , y\right)+F_{165}\! \left(x , y\right)\\
F_{163}\! \left(x , y\right) &= F_{164}\! \left(x , y\right)\\
F_{164}\! \left(x , y\right) &= F_{12}\! \left(x \right) F_{16}\! \left(x , y\right) F_{90}\! \left(x \right)\\
F_{165}\! \left(x , y\right) &= F_{166}\! \left(x , y\right)\\
F_{166}\! \left(x , y\right) &= F_{12}\! \left(x \right) F_{143}\! \left(x \right) F_{167}\! \left(x , y\right)\\
F_{167}\! \left(x , y\right) &= F_{168}\! \left(x , y\right)+F_{24}\! \left(x , y\right)\\
F_{168}\! \left(x , y\right) &= F_{169}\! \left(x , y\right)\\
F_{169}\! \left(x , y\right) &= F_{12}\! \left(x \right) F_{145}\! \left(x , y\right)\\
F_{170}\! \left(x , y\right) &= F_{171}\! \left(x , y\right)\\
F_{171}\! \left(x , y\right) &= y F_{172}\! \left(x , y\right)\\
F_{172}\! \left(x , y\right) &= F_{138}\! \left(x \right)+F_{162}\! \left(x , y\right)\\
F_{173}\! \left(x , y\right) &= F_{174}\! \left(x , y\right)+F_{20}\! \left(x , y\right)\\
F_{174}\! \left(x , y\right) &= F_{175}\! \left(x , y\right)+F_{63}\! \left(x \right)\\
F_{175}\! \left(x , y\right) &= F_{176}\! \left(x , y\right)+F_{186}\! \left(x , y\right)+F_{74}\! \left(x \right)\\
F_{176}\! \left(x , y\right) &= F_{12}\! \left(x \right) F_{177}\! \left(x , y\right)\\
F_{177}\! \left(x , y\right) &= F_{178}\! \left(x , y\right)+F_{179}\! \left(x , y\right)\\
F_{178}\! \left(x , y\right) &= F_{16}\! \left(x , y\right)+F_{175}\! \left(x , y\right)\\
F_{179}\! \left(x , y\right) &= F_{180}\! \left(x , y\right)+F_{191}\! \left(x , y\right)\\
F_{180}\! \left(x , y\right) &= F_{181}\! \left(x , y\right)+F_{186}\! \left(x , y\right)+F_{74}\! \left(x \right)\\
F_{181}\! \left(x , y\right) &= F_{12}\! \left(x \right) F_{182}\! \left(x , y\right)\\
F_{182}\! \left(x , y\right) &= F_{183}\! \left(x , y\right)+F_{190}\! \left(x , y\right)\\
F_{183}\! \left(x , y\right) &= F_{16}\! \left(x , y\right)+F_{184}\! \left(x , y\right)\\
F_{184}\! \left(x , y\right) &= F_{185}\! \left(x , y\right)+F_{186}\! \left(x , y\right)+F_{74}\! \left(x \right)\\
F_{185}\! \left(x , y\right) &= F_{12}\! \left(x \right) F_{16}\! \left(x , y\right)\\
F_{186}\! \left(x , y\right) &= F_{18}\! \left(x , y\right) F_{187}\! \left(x , y\right)\\
F_{187}\! \left(x , y\right) &= F_{188}\! \left(x , y\right)\\
F_{188}\! \left(x , y\right) &= F_{12}\! \left(x \right)+F_{189}\! \left(x , y\right)\\
F_{189}\! \left(x , y\right) &= F_{185}\! \left(x , y\right)\\
F_{190}\! \left(x , y\right) &= F_{184}\! \left(x , y\right)\\
F_{191}\! \left(x , y\right) &= F_{192}\! \left(x , y\right)+F_{197}\! \left(x , y\right)+F_{205}\! \left(x , y\right)+F_{74}\! \left(x \right)\\
F_{192}\! \left(x , y\right) &= F_{12}\! \left(x \right) F_{193}\! \left(x , y\right)\\
F_{193}\! \left(x , y\right) &= F_{194}\! \left(x , y\right)+F_{210}\! \left(x , y\right)\\
F_{194}\! \left(x , y\right) &= F_{175}\! \left(x , y\right)+F_{195}\! \left(x , y\right)\\
F_{195}\! \left(x , y\right) &= F_{196}\! \left(x , y\right)+F_{197}\! \left(x , y\right)+F_{205}\! \left(x , y\right)+F_{74}\! \left(x \right)\\
F_{196}\! \left(x , y\right) &= F_{12}\! \left(x \right) F_{175}\! \left(x , y\right)\\
F_{197}\! \left(x , y\right) &= F_{12}\! \left(x \right) F_{198}\! \left(x , y\right)\\
F_{198}\! \left(x , y\right) &= F_{199}\! \left(x , y\right)+F_{200}\! \left(x , y\right)\\
F_{199}\! \left(x , y\right) &= F_{184}\! \left(x , y\right)+F_{195}\! \left(x , y\right)\\
F_{200}\! \left(x , y\right) &= F_{201}\! \left(x , y\right)+F_{206}\! \left(x , y\right)\\
F_{201}\! \left(x , y\right) &= F_{202}\! \left(x , y\right)+F_{203}\! \left(x , y\right)+F_{205}\! \left(x , y\right)+F_{74}\! \left(x \right)\\
F_{202}\! \left(x , y\right) &= F_{12}\! \left(x \right) F_{184}\! \left(x , y\right)\\
F_{203}\! \left(x , y\right) &= F_{12}\! \left(x \right) F_{204}\! \left(x , y\right)\\
F_{204}\! \left(x , y\right) &= F_{190}\! \left(x , y\right)\\
F_{205}\! \left(x , y\right) &= 0\\
F_{206}\! \left(x , y\right) &= F_{207}\! \left(x , y\right)+F_{208}\! \left(x , y\right)+F_{211}\! \left(x , y\right)+F_{212}\! \left(x , y\right)+F_{74}\! \left(x \right)\\
F_{207}\! \left(x , y\right) &= F_{12}\! \left(x \right) F_{195}\! \left(x , y\right)\\
F_{208}\! \left(x , y\right) &= F_{12}\! \left(x \right) F_{209}\! \left(x , y\right)\\
F_{209}\! \left(x , y\right) &= F_{210}\! \left(x , y\right)\\
F_{210}\! \left(x , y\right) &= F_{195}\! \left(x , y\right)\\
F_{211}\! \left(x , y\right) &= 0\\
F_{212}\! \left(x , y\right) &= 0\\
F_{213}\! \left(x \right) &= F_{214}\! \left(x \right)+F_{244}\! \left(x \right)\\
F_{214}\! \left(x \right) &= F_{12}\! \left(x \right)+F_{215}\! \left(x \right)\\
F_{215}\! \left(x \right) &= F_{216}\! \left(x \right)+F_{243}\! \left(x \right)+F_{74}\! \left(x \right)\\
F_{216}\! \left(x \right) &= F_{12}\! \left(x \right) F_{217}\! \left(x \right)\\
F_{217}\! \left(x \right) &= F_{214}\! \left(x \right)+F_{218}\! \left(x \right)\\
F_{218}\! \left(x \right) &= F_{219}\! \left(x \right)+F_{229}\! \left(x \right)\\
F_{219}\! \left(x \right) &= F_{220}\! \left(x \right)+F_{228}\! \left(x \right)+F_{74}\! \left(x \right)\\
F_{220}\! \left(x \right) &= F_{12}\! \left(x \right) F_{221}\! \left(x \right)\\
F_{221}\! \left(x \right) &= F_{222}\! \left(x \right)+F_{223}\! \left(x \right)\\
F_{222}\! \left(x \right) &= F_{12}\! \left(x \right)+F_{219}\! \left(x \right)\\
F_{223}\! \left(x \right) &= F_{224}\! \left(x \right)+F_{226}\! \left(x \right)\\
F_{224}\! \left(x \right) &= F_{225}\! \left(x \right)\\
F_{225}\! \left(x \right) &= x^{2}\\
F_{226}\! \left(x \right) &= F_{227}\! \left(x \right)\\
F_{227}\! \left(x \right) &= F_{12}\! \left(x \right) F_{219}\! \left(x \right)\\
F_{228}\! \left(x \right) &= x^{2}\\
F_{229}\! \left(x \right) &= F_{230}\! \left(x \right)+F_{238}\! \left(x \right)+F_{242}\! \left(x \right)+F_{74}\! \left(x \right)\\
F_{230}\! \left(x \right) &= F_{12}\! \left(x \right) F_{231}\! \left(x \right)\\
F_{231}\! \left(x \right) &= F_{232}\! \left(x \right)+F_{233}\! \left(x \right)\\
F_{232}\! \left(x \right) &= F_{215}\! \left(x \right)+F_{229}\! \left(x \right)\\
F_{233}\! \left(x \right) &= F_{234}\! \left(x \right)+F_{236}\! \left(x \right)\\
F_{234}\! \left(x \right) &= F_{235}\! \left(x \right)\\
F_{235}\! \left(x \right) &= F_{12}\! \left(x \right) F_{215}\! \left(x \right)\\
F_{236}\! \left(x \right) &= F_{237}\! \left(x \right)\\
F_{237}\! \left(x \right) &= F_{12}\! \left(x \right) F_{229}\! \left(x \right)\\
F_{238}\! \left(x \right) &= F_{12}\! \left(x \right) F_{239}\! \left(x \right)\\
F_{239}\! \left(x \right) &= F_{240}\! \left(x \right)+F_{241}\! \left(x \right)\\
F_{240}\! \left(x \right) &= F_{224}\! \left(x \right)+F_{234}\! \left(x \right)\\
F_{241}\! \left(x \right) &= F_{226}\! \left(x \right)+F_{236}\! \left(x \right)\\
F_{242}\! \left(x \right) &= F_{12}\! \left(x \right) F_{71}\! \left(x \right)\\
F_{243}\! \left(x \right) &= F_{12}\! \left(x \right) F_{66}\! \left(x \right)\\
F_{244}\! \left(x \right) &= F_{245}\! \left(x \right)\\
F_{245}\! \left(x \right) &= F_{12}\! \left(x \right) F_{87}\! \left(x \right)\\
F_{246}\! \left(x , y\right) &= F_{1}\! \left(x \right)+F_{18}\! \left(x , y\right)\\
F_{248}\! \left(x , y\right) &= F_{247}\! \left(x , y\right)+F_{261}\! \left(x , y\right)\\
F_{249}\! \left(x , y\right) &= F_{248}\! \left(x , y\right)+F_{252}\! \left(x , y\right)\\
F_{250}\! \left(x , y\right) &= F_{12}\! \left(x \right) F_{249}\! \left(x , y\right)\\
F_{250}\! \left(x , y\right) &= F_{251}\! \left(x , y\right)\\
F_{88}\! \left(x , y\right) &= F_{251}\! \left(x , y\right)+F_{28}\! \left(x , y\right)\\
F_{252}\! \left(x , y\right) &= y F_{253}\! \left(x , y\right)\\
F_{253}\! \left(x , y\right) &= F_{254}\! \left(x , y\right)+F_{259}\! \left(x , y\right)\\
F_{254}\! \left(x , y\right) &= F_{20}\! \left(x , y\right) F_{255}\! \left(x \right)\\
F_{255}\! \left(x \right) &= F_{256}\! \left(x \right)\\
F_{256}\! \left(x \right) &= F_{12}\! \left(x \right) F_{257}\! \left(x \right)\\
F_{257}\! \left(x \right) &= F_{142}\! \left(x \right)+F_{258}\! \left(x \right)\\
F_{258}\! \left(x \right) &= -F_{62}\! \left(x \right)+F_{90}\! \left(x \right)\\
F_{259}\! \left(x , y\right) &= F_{260}\! \left(x , y\right)\\
F_{260}\! \left(x , y\right) &= F_{12}\! \left(x \right) F_{143}\! \left(x \right) F_{51}\! \left(x , y\right)\\
F_{261}\! \left(x , y\right) &= F_{262}\! \left(x , y\right)+F_{263}\! \left(x , y\right)\\
F_{262}\! \left(x , y\right) &= F_{20}\! \left(x , y\right) F_{258}\! \left(x \right)\\
F_{263}\! \left(x , y\right) &= F_{264}\! \left(x , y\right)\\
F_{264}\! \left(x , y\right) &= F_{12}\! \left(x \right) F_{20}\! \left(x , y\right) F_{246}\! \left(x , y\right) F_{265}\! \left(x \right)\\
F_{265}\! \left(x \right) &= F_{244}\! \left(x \right)+F_{266}\! \left(x \right)\\
F_{266}\! \left(x \right) &= F_{267}\! \left(x , 1\right)\\
F_{267}\! \left(x , y\right) &= F_{246}\! \left(x , y\right) F_{88}\! \left(x , y\right)\\
F_{268}\! \left(x , y\right) &= F_{269}\! \left(x , y\right)+F_{33}\! \left(x , y\right)\\
F_{269}\! \left(x , y\right) &= y F_{270}\! \left(x , y\right)\\
F_{270}\! \left(x , y\right) &= F_{153}\! \left(x , y\right)+F_{271}\! \left(x , y\right)\\
F_{271}\! \left(x , y\right) &= F_{272}\! \left(x , y\right)\\
F_{272}\! \left(x , y\right) &= F_{12}\! \left(x \right) F_{2}\! \left(x \right) F_{20}\! \left(x , y\right)\\
F_{273}\! \left(x \right) &= F_{274}\! \left(x \right)\\
F_{274}\! \left(x \right) &= F_{12}\! \left(x \right) F_{275}\! \left(x \right)\\
F_{275}\! \left(x \right) &= F_{276}\! \left(x , 1\right)\\
F_{277}\! \left(x , y\right) &= F_{276}\! \left(x , y\right)+F_{280}\! \left(x , y\right)\\
F_{278}\! \left(x , y\right) &= F_{12}\! \left(x \right) F_{277}\! \left(x , y\right)\\
F_{278}\! \left(x , y\right) &= F_{279}\! \left(x , y\right)\\
F_{92}\! \left(x , y\right) &= F_{15}\! \left(x , y\right)+F_{279}\! \left(x , y\right)\\
F_{280}\! \left(x , y\right) &= y F_{281}\! \left(x , y\right)\\
F_{281}\! \left(x , y\right) &= F_{259}\! \left(x , y\right)+F_{282}\! \left(x , y\right)\\
F_{282}\! \left(x , y\right) &= F_{20}\! \left(x , y\right) F_{283}\! \left(x \right)\\
F_{283}\! \left(x \right) &= F_{255}\! \left(x \right)+F_{284}\! \left(x \right)\\
F_{284}\! \left(x \right) &= F_{12}\! \left(x \right)+F_{285}\! \left(x \right)\\
F_{285}\! \left(x \right) &= F_{286}\! \left(x \right)\\
F_{286}\! \left(x \right) &= F_{12}\! \left(x \right) F_{287}\! \left(x \right)\\
F_{287}\! \left(x \right) &= F_{284}\! \left(x \right)+F_{288}\! \left(x \right)\\
F_{288}\! \left(x \right) &= F_{289}\! \left(x \right)+F_{295}\! \left(x \right)\\
F_{289}\! \left(x \right) &= F_{290}\! \left(x \right)\\
F_{290}\! \left(x \right) &= F_{12}\! \left(x \right) F_{291}\! \left(x \right)\\
F_{291}\! \left(x \right) &= F_{292}\! \left(x \right)+F_{294}\! \left(x \right)\\
F_{292}\! \left(x \right) &= F_{12}\! \left(x \right)+F_{293}\! \left(x \right)\\
F_{293}\! \left(x \right) &= F_{225}\! \left(x \right)\\
F_{294}\! \left(x \right) &= F_{293}\! \left(x \right)\\
F_{295}\! \left(x \right) &= 2 F_{74}\! \left(x \right)+F_{296}\! \left(x \right)+F_{301}\! \left(x \right)\\
F_{296}\! \left(x \right) &= F_{12}\! \left(x \right) F_{297}\! \left(x \right)\\
F_{297}\! \left(x \right) &= F_{298}\! \left(x \right)+F_{313}\! \left(x \right)\\
F_{298}\! \left(x \right) &= F_{285}\! \left(x \right)+F_{299}\! \left(x \right)\\
F_{299}\! \left(x \right) &= 2 F_{74}\! \left(x \right)+F_{300}\! \left(x \right)+F_{301}\! \left(x \right)\\
F_{300}\! \left(x \right) &= F_{12}\! \left(x \right) F_{285}\! \left(x \right)\\
F_{301}\! \left(x \right) &= F_{12}\! \left(x \right) F_{302}\! \left(x \right)\\
F_{302}\! \left(x \right) &= F_{303}\! \left(x \right)+F_{304}\! \left(x \right)\\
F_{303}\! \left(x \right) &= F_{293}\! \left(x \right)+F_{299}\! \left(x \right)\\
F_{304}\! \left(x \right) &= F_{305}\! \left(x \right)+F_{309}\! \left(x \right)\\
F_{305}\! \left(x \right) &= 2 F_{74}\! \left(x \right)+F_{306}\! \left(x \right)+F_{307}\! \left(x \right)\\
F_{306}\! \left(x \right) &= F_{12}\! \left(x \right) F_{293}\! \left(x \right)\\
F_{307}\! \left(x \right) &= F_{12}\! \left(x \right) F_{308}\! \left(x \right)\\
F_{308}\! \left(x \right) &= F_{294}\! \left(x \right)\\
F_{309}\! \left(x \right) &= 2 F_{74}\! \left(x \right)+F_{310}\! \left(x \right)+F_{311}\! \left(x \right)+F_{314}\! \left(x \right)\\
F_{310}\! \left(x \right) &= F_{12}\! \left(x \right) F_{299}\! \left(x \right)\\
F_{311}\! \left(x \right) &= F_{12}\! \left(x \right) F_{312}\! \left(x \right)\\
F_{312}\! \left(x \right) &= F_{313}\! \left(x \right)\\
F_{313}\! \left(x \right) &= F_{299}\! \left(x \right)\\
F_{314}\! \left(x \right) &= 0\\
F_{315}\! \left(x \right) &= F_{316}\! \left(x \right)\\
F_{316}\! \left(x \right) &= F_{12}\! \left(x \right) F_{317}\! \left(x \right)\\
F_{317}\! \left(x \right) &= F_{318}\! \left(x \right)+F_{331}\! \left(x \right)\\
F_{318}\! \left(x \right) &= F_{319}\! \left(x \right)+F_{326}\! \left(x \right)\\
F_{319}\! \left(x \right) &= \frac{F_{320}\! \left(x \right)}{F_{12}\! \left(x \right)}\\
F_{320}\! \left(x \right) &= F_{321}\! \left(x \right)\\
F_{321}\! \left(x \right) &= F_{322}\! \left(x \right)+F_{323}\! \left(x \right)\\
F_{322}\! \left(x \right) &= F_{2}\! \left(x \right) F_{5}\! \left(x \right)\\
F_{323}\! \left(x \right) &= F_{324}\! \left(x \right)\\
F_{324}\! \left(x \right) &= F_{5} \left(x \right)^{2} F_{12}\! \left(x \right) F_{325}\! \left(x \right)\\
F_{325}\! \left(x \right) &= F_{112}\! \left(x \right)+F_{321}\! \left(x \right)\\
F_{326}\! \left(x \right) &= F_{327}\! \left(x \right) F_{5}\! \left(x \right)\\
F_{327}\! \left(x \right) &= F_{328}\! \left(x \right)+F_{330}\! \left(x \right)\\
F_{328}\! \left(x \right) &= F_{2}\! \left(x \right)+F_{329}\! \left(x \right)\\
F_{329}\! \left(x \right) &= F_{2}\! \left(x \right) F_{41}\! \left(x \right)\\
F_{330}\! \left(x \right) &= F_{116}\! \left(x \right) F_{41}\! \left(x \right)\\
F_{331}\! \left(x \right) &= F_{332}\! \left(x , 1\right)\\
F_{333}\! \left(x , y\right) &= F_{318}\! \left(x \right)+F_{332}\! \left(x , y\right)\\
F_{333}\! \left(x , y\right) &= F_{334}\! \left(x , y\right)+F_{347}\! \left(x , y\right)\\
F_{334}\! \left(x , y\right) &= F_{335}\! \left(x , y\right)+F_{344}\! \left(x , y\right)\\
F_{335}\! \left(x , y\right) &= F_{336}\! \left(x , y\right)+F_{8}\! \left(x \right)\\
F_{336}\! \left(x , y\right) &= F_{337}\! \left(x , y\right)+F_{341}\! \left(x , y\right)\\
F_{337}\! \left(x , y\right) &= -\frac{y \left(F_{338}\! \left(x , 1\right)-F_{338}\! \left(x , y\right)\right)}{-1+y}\\
F_{338}\! \left(x , y\right) &= F_{15}\! \left(x , y\right)+F_{339}\! \left(x , y\right)\\
F_{339}\! \left(x , y\right) &= F_{340}\! \left(x , y\right)\\
F_{340}\! \left(x , y\right) &= F_{12}\! \left(x \right) F_{276}\! \left(x , y\right)\\
F_{341}\! \left(x , y\right) &= F_{342}\! \left(x , y\right)\\
F_{342}\! \left(x , y\right) &= F_{12}\! \left(x \right) F_{343}\! \left(x , y\right)\\
F_{343}\! \left(x , y\right) &= -\frac{y \left(F_{332}\! \left(x , 1\right)-F_{332}\! \left(x , y\right)\right)}{-1+y}\\
F_{344}\! \left(x , y\right) &= F_{345}\! \left(x , y\right)+F_{346}\! \left(x , y\right)\\
F_{345}\! \left(x , y\right) &= F_{20}\! \left(x , y\right) F_{328}\! \left(x \right)\\
F_{346}\! \left(x , y\right) &= F_{41}\! \left(x \right) F_{51}\! \left(x , y\right)\\
F_{347}\! \left(x , y\right) &= F_{348}\! \left(x , y\right)\\
F_{348}\! \left(x , y\right) &= F_{12}\! \left(x \right) F_{349}\! \left(x , y\right)\\
F_{349}\! \left(x , y\right) &= F_{350}\! \left(x , y\right)+F_{387}\! \left(x , y\right)\\
F_{350}\! \left(x , y\right) &= F_{351}\! \left(x , y\right)+F_{352}\! \left(x , y\right)\\
F_{351}\! \left(x , y\right) &= F_{125}\! \left(x \right) F_{334}\! \left(x , y\right)\\
F_{352}\! \left(x , y\right) &= F_{353}\! \left(x , y\right)\\
F_{353}\! \left(x , y\right) &= F_{12}\! \left(x \right) F_{125}\! \left(x \right) F_{354}\! \left(x , y\right) F_{5}\! \left(x \right)\\
F_{355}\! \left(x , y\right) &= F_{354}\! \left(x , y\right)+F_{386}\! \left(x , y\right)\\
F_{356}\! \left(x , y\right) &= F_{12}\! \left(x \right) F_{355}\! \left(x , y\right)\\
F_{356}\! \left(x , y\right) &= F_{357}\! \left(x , y\right)\\
F_{358}\! \left(x , y\right) &= F_{357}\! \left(x , y\right)+F_{382}\! \left(x , y\right)\\
F_{358}\! \left(x , y\right) &= F_{359}\! \left(x , y\right)+F_{381}\! \left(x , y\right)\\
F_{359}\! \left(x , y\right) &= F_{360}\! \left(x , y\right)\\
F_{360}\! \left(x , y\right) &= F_{12}\! \left(x \right) F_{361}\! \left(x , y\right)\\
F_{361}\! \left(x , y\right) &= F_{362}\! \left(x , y\right)+F_{372}\! \left(x , y\right)\\
F_{363}\! \left(x , y\right) &= F_{362}\! \left(x , y\right)+F_{365}\! \left(x , y\right)\\
F_{364}\! \left(x , y\right) &= F_{18}\! \left(x , y\right) F_{363}\! \left(x , y\right)\\
F_{364}\! \left(x , y\right) &= F_{336}\! \left(x , y\right)\\
F_{365}\! \left(x , y\right) &= F_{366}\! \left(x , y\right)\\
F_{367}\! \left(x , y\right) &= F_{12}\! \left(x \right) F_{366}\! \left(x , y\right)\\
F_{367}\! \left(x , y\right) &= F_{368}\! \left(x , y\right)\\
F_{368}\! \left(x , y\right) &= F_{12}\! \left(x \right) F_{369}\! \left(x , y\right) F_{5}\! \left(x \right)\\
F_{369}\! \left(x , y\right) &= F_{370}\! \left(x , y\right)+F_{43}\! \left(x , y\right)\\
F_{370}\! \left(x , y\right) &= F_{371}\! \left(x , y\right) F_{46}\! \left(x \right)\\
F_{371}\! \left(x , y\right) &= F_{28}\! \left(x , y\right)+F_{35}\! \left(x , y\right)\\
F_{372}\! \left(x , y\right) &= F_{373}\! \left(x , y\right)\\
F_{373}\! \left(x , y\right) &= F_{374}\! \left(x , y\right) F_{5}\! \left(x \right)\\
F_{374}\! \left(x , y\right) &= F_{375}\! \left(x , y\right)+F_{377}\! \left(x , y\right)\\
F_{375}\! \left(x , y\right) &= F_{376}\! \left(x , y\right)\\
F_{376}\! \left(x , y\right) &= F_{10}\! \left(x \right) F_{12}\! \left(x \right) F_{20}\! \left(x , y\right)\\
F_{377}\! \left(x , y\right) &= F_{378}\! \left(x , y\right)\\
F_{378}\! \left(x , y\right) &= F_{12}\! \left(x \right) F_{157}\! \left(x \right) F_{379}\! \left(x , y\right)\\
F_{379}\! \left(x , y\right) &= F_{28}\! \left(x , y\right)+F_{380}\! \left(x , y\right)\\
F_{380}\! \left(x , y\right) &= F_{116}\! \left(x \right)+F_{339}\! \left(x , y\right)\\
F_{381}\! \left(x , y\right) &= F_{368}\! \left(x , y\right)\\
F_{382}\! \left(x , y\right) &= F_{383}\! \left(x , y\right)\\
F_{383}\! \left(x , y\right) &= y F_{384}\! \left(x , y\right)\\
F_{384}\! \left(x , y\right) &= F_{385}\! \left(x , y\right)\\
F_{385}\! \left(x , y\right) &= F_{12}\! \left(x \right) F_{369}\! \left(x , y\right)\\
F_{386}\! \left(x , y\right) &= F_{373}\! \left(x , y\right)\\
F_{387}\! \left(x , y\right) &= F_{388}\! \left(x , y\right)\\
F_{388}\! \left(x , y\right) &= F_{12}\! \left(x \right) F_{125}\! \left(x \right) F_{333}\! \left(x , y\right) F_{5}\! \left(x \right)\\
\end{align*}\)
This specification was found using the strategy pack "Point Placements Req Corrob" and has 384 rules.
Finding the specification took 41755 seconds.
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\(\begin{align*}
F_{0}\! \left(x \right) &= F_{1}\! \left(x \right)+F_{2}\! \left(x \right)\\
F_{1}\! \left(x \right) &= 1\\
F_{2}\! \left(x \right) &= F_{3}\! \left(x \right)\\
F_{3}\! \left(x \right) &= F_{21}\! \left(x \right) F_{4}\! \left(x \right)\\
F_{4}\! \left(x \right) &= F_{5}\! \left(x \right)+F_{6}\! \left(x \right)\\
F_{5}\! \left(x \right) &= x F_{5} \left(x \right)^{3}-x F_{5} \left(x \right)^{2}+x F_{5}\! \left(x \right)+1\\
F_{6}\! \left(x \right) &= F_{2}\! \left(x \right)+F_{7}\! \left(x \right)\\
F_{7}\! \left(x \right) &= F_{8}\! \left(x \right)\\
F_{8}\! \left(x \right) &= F_{21}\! \left(x \right) F_{9}\! \left(x \right)\\
F_{9}\! \left(x \right) &= F_{10}\! \left(x \right)+F_{26}\! \left(x \right)\\
F_{10}\! \left(x \right) &= F_{11}\! \left(x \right)+F_{12}\! \left(x \right)\\
F_{11}\! \left(x \right) &= F_{2}\! \left(x \right) F_{5}\! \left(x \right)\\
F_{12}\! \left(x \right) &= F_{13}\! \left(x \right)\\
F_{13}\! \left(x \right) &= F_{14}\! \left(x \right) F_{21}\! \left(x \right)\\
F_{14}\! \left(x \right) &= F_{15}\! \left(x \right)+F_{382}\! \left(x \right)\\
F_{15}\! \left(x \right) &= F_{16}\! \left(x \right)+F_{380}\! \left(x \right)\\
F_{16}\! \left(x \right) &= F_{17}\! \left(x \right)\\
F_{17}\! \left(x \right) &= F_{18}\! \left(x \right) F_{21}\! \left(x \right)\\
F_{18}\! \left(x \right) &= F_{19}\! \left(x \right)+F_{22}\! \left(x \right)\\
F_{19}\! \left(x \right) &= \frac{F_{20}\! \left(x \right)}{F_{21}\! \left(x \right)}\\
F_{20}\! \left(x \right) &= F_{10}\! \left(x \right)\\
F_{21}\! \left(x \right) &= x\\
F_{22}\! \left(x \right) &= -F_{377}\! \left(x \right)+F_{23}\! \left(x \right)\\
F_{23}\! \left(x \right) &= \frac{F_{24}\! \left(x \right)}{F_{21}\! \left(x \right)}\\
F_{24}\! \left(x \right) &= F_{25}\! \left(x \right)\\
F_{25}\! \left(x \right) &= -F_{372}\! \left(x \right)+F_{26}\! \left(x \right)\\
F_{26}\! \left(x \right) &= F_{27}\! \left(x \right)\\
F_{27}\! \left(x \right) &= F_{21}\! \left(x \right) F_{28}\! \left(x \right)\\
F_{28}\! \left(x \right) &= F_{193}\! \left(x \right)+F_{29}\! \left(x \right)\\
F_{29}\! \left(x \right) &= F_{191}\! \left(x \right)+F_{30}\! \left(x \right)\\
F_{30}\! \left(x \right) &= F_{173}\! \left(x \right)+F_{31}\! \left(x \right)\\
F_{31}\! \left(x \right) &= F_{32}\! \left(x \right)+F_{42}\! \left(x \right)\\
F_{32}\! \left(x \right) &= F_{33}\! \left(x \right) F_{35}\! \left(x \right)\\
F_{33}\! \left(x \right) &= \frac{F_{34}\! \left(x \right)}{F_{21}\! \left(x \right)}\\
F_{34}\! \left(x \right) &= F_{2}\! \left(x \right)\\
F_{35}\! \left(x \right) &= F_{1}\! \left(x \right)+F_{36}\! \left(x \right)\\
F_{36}\! \left(x \right) &= F_{37}\! \left(x \right)\\
F_{37}\! \left(x \right) &= F_{21}\! \left(x \right) F_{38}\! \left(x \right)\\
F_{38}\! \left(x \right) &= F_{35}\! \left(x \right)+F_{39}\! \left(x \right)\\
F_{39}\! \left(x \right) &= F_{21}\! \left(x \right)+F_{40}\! \left(x \right)\\
F_{40}\! \left(x \right) &= F_{41}\! \left(x \right)\\
F_{41}\! \left(x \right) &= F_{21}\! \left(x \right) F_{36}\! \left(x \right)\\
F_{42}\! \left(x \right) &= F_{117}\! \left(x \right) F_{43}\! \left(x \right)\\
F_{43}\! \left(x \right) &= F_{2}\! \left(x \right)+F_{44}\! \left(x \right)\\
F_{44}\! \left(x \right) &= F_{45}\! \left(x \right)\\
F_{45}\! \left(x \right) &= F_{21}\! \left(x \right) F_{46}\! \left(x \right)\\
F_{46}\! \left(x \right) &= F_{156}\! \left(x \right)+F_{47}\! \left(x \right)\\
F_{47}\! \left(x \right) &= F_{43}\! \left(x \right)+F_{48}\! \left(x \right)\\
F_{48}\! \left(x \right) &= F_{49}\! \left(x \right)\\
F_{49}\! \left(x \right) &= F_{21}\! \left(x \right) F_{50}\! \left(x \right)\\
F_{50}\! \left(x \right) &= F_{43}\! \left(x \right)+F_{51}\! \left(x \right)\\
F_{51}\! \left(x \right) &= F_{52}\! \left(x \right)+F_{53}\! \left(x \right)\\
F_{52}\! \left(x \right) &= F_{2}\! \left(x \right) F_{35}\! \left(x \right)\\
F_{53}\! \left(x \right) &= F_{54}\! \left(x \right)\\
F_{54}\! \left(x \right) &= F_{21}\! \left(x \right) F_{55}\! \left(x \right)\\
F_{55}\! \left(x \right) &= F_{42}\! \left(x \right)+F_{56}\! \left(x \right)\\
F_{56}\! \left(x \right) &= F_{57}\! \left(x \right)\\
F_{57}\! \left(x \right) &= F_{21}\! \left(x \right) F_{58}\! \left(x \right)\\
F_{58}\! \left(x \right) &= F_{147}\! \left(x \right)+F_{59}\! \left(x \right)\\
F_{59}\! \left(x \right) &= F_{35}\! \left(x \right) F_{60}\! \left(x \right)\\
F_{60}\! \left(x \right) &= \frac{F_{61}\! \left(x \right)}{F_{21}\! \left(x \right)}\\
F_{61}\! \left(x \right) &= F_{62}\! \left(x \right)\\
F_{62}\! \left(x \right) &= -F_{114}\! \left(x \right)+F_{63}\! \left(x \right)\\
F_{63}\! \left(x \right) &= \frac{F_{64}\! \left(x \right)}{F_{21}\! \left(x \right)}\\
F_{64}\! \left(x \right) &= F_{65}\! \left(x \right)\\
F_{65}\! \left(x \right) &= -F_{72}\! \left(x \right)+F_{66}\! \left(x \right)\\
F_{66}\! \left(x \right) &= \frac{F_{67}\! \left(x \right)}{F_{21}\! \left(x \right)}\\
F_{67}\! \left(x \right) &= F_{68}\! \left(x \right)\\
F_{68}\! \left(x \right) &= -F_{2}\! \left(x \right)+F_{69}\! \left(x \right)\\
F_{69}\! \left(x \right) &= -F_{0}\! \left(x \right)+F_{70}\! \left(x \right)\\
F_{70}\! \left(x \right) &= \frac{F_{71}\! \left(x \right)}{F_{21}\! \left(x \right)}\\
F_{71}\! \left(x \right) &= F_{2}\! \left(x \right)\\
F_{72}\! \left(x \right) &= -F_{76}\! \left(x \right)+F_{73}\! \left(x \right)\\
F_{73}\! \left(x \right) &= \frac{F_{74}\! \left(x \right)}{F_{21}\! \left(x \right)}\\
F_{74}\! \left(x \right) &= F_{75}\! \left(x \right)\\
F_{75}\! \left(x \right) &= F_{2}\! \left(x \right)+F_{68}\! \left(x \right)\\
F_{76}\! \left(x \right) &= F_{106}\! \left(x \right)+F_{77}\! \left(x \right)\\
F_{77}\! \left(x \right) &= F_{0}\! \left(x \right)+F_{78}\! \left(x \right)\\
F_{78}\! \left(x \right) &= F_{79}\! \left(x \right)\\
F_{79}\! \left(x \right) &= F_{21}\! \left(x \right) F_{80}\! \left(x \right)\\
F_{80}\! \left(x \right) &= F_{104}\! \left(x \right)+F_{81}\! \left(x \right)\\
F_{81}\! \left(x \right) &= F_{4}\! \left(x \right)+F_{82}\! \left(x \right)\\
F_{82}\! \left(x \right) &= F_{2}\! \left(x \right) F_{83}\! \left(x \right)\\
F_{83}\! \left(x \right) &= F_{5}\! \left(x \right)+F_{84}\! \left(x \right)\\
F_{84}\! \left(x \right) &= F_{85}\! \left(x \right)+F_{86}\! \left(x \right)\\
F_{85}\! \left(x \right) &= x F_{85} \left(x \right)^{3}+2 x F_{85} \left(x \right)^{2}+2 F_{85}\! \left(x \right) x +x\\
F_{86}\! \left(x \right) &= F_{87}\! \left(x \right)\\
F_{87}\! \left(x \right) &= F_{21}\! \left(x \right) F_{88}\! \left(x \right)\\
F_{88}\! \left(x \right) &= F_{89}\! \left(x \right)+F_{98}\! \left(x \right)\\
F_{89}\! \left(x \right) &= F_{84}\! \left(x \right)+F_{90}\! \left(x \right)\\
F_{90}\! \left(x \right) &= F_{91}\! \left(x \right)\\
F_{91}\! \left(x \right) &= F_{21}\! \left(x \right) F_{92}\! \left(x \right) F_{95}\! \left(x \right)\\
F_{92}\! \left(x \right) &= F_{93}\! \left(x \right)+F_{94}\! \left(x \right)\\
F_{93}\! \left(x \right) &= F_{5}\! \left(x \right) F_{84}\! \left(x \right)\\
F_{94}\! \left(x \right) &= F_{5}\! \left(x \right) F_{84}\! \left(x \right)\\
F_{95}\! \left(x \right) &= F_{5}\! \left(x \right)+F_{96}\! \left(x \right)\\
F_{96}\! \left(x \right) &= F_{97}\! \left(x \right)\\
F_{97}\! \left(x \right) &= F_{5} \left(x \right)^{2} F_{21}\! \left(x \right) F_{95}\! \left(x \right)\\
F_{98}\! \left(x \right) &= F_{99}\! \left(x \right)\\
F_{99}\! \left(x \right) &= F_{100}\! \left(x \right) F_{103}\! \left(x \right) F_{21}\! \left(x \right) F_{5}\! \left(x \right)\\
F_{100}\! \left(x \right) &= F_{101}\! \left(x \right)+F_{5}\! \left(x \right)\\
F_{101}\! \left(x \right) &= F_{102}\! \left(x \right)\\
F_{102}\! \left(x \right) &= F_{5} \left(x \right)^{2} F_{100}\! \left(x \right) F_{21}\! \left(x \right)\\
F_{103}\! \left(x \right) &= F_{89}\! \left(x \right)+F_{95}\! \left(x \right)\\
F_{104}\! \left(x \right) &= F_{105}\! \left(x \right) F_{5}\! \left(x \right)\\
F_{105}\! \left(x \right) &= F_{7}\! \left(x \right)+F_{85}\! \left(x \right)\\
F_{106}\! \left(x \right) &= F_{107}\! \left(x \right)+F_{110}\! \left(x \right)\\
F_{107}\! \left(x \right) &= -F_{0}\! \left(x \right)+F_{108}\! \left(x \right)\\
F_{108}\! \left(x \right) &= \frac{F_{109}\! \left(x \right)}{F_{21}\! \left(x \right)}\\
F_{109}\! \left(x \right) &= F_{2}\! \left(x \right)\\
F_{110}\! \left(x \right) &= F_{111}\! \left(x \right)\\
F_{111}\! \left(x \right) &= F_{112}\! \left(x \right) F_{21}\! \left(x \right)\\
F_{112}\! \left(x \right) &= F_{113}\! \left(x \right)+F_{2}\! \left(x \right)\\
F_{113}\! \left(x \right) &= F_{2}\! \left(x \right) F_{85}\! \left(x \right)\\
F_{114}\! \left(x \right) &= F_{115}\! \left(x \right) F_{146}\! \left(x \right)\\
F_{115}\! \left(x \right) &= F_{116}\! \left(x \right)+F_{33}\! \left(x \right)\\
F_{116}\! \left(x \right) &= F_{117}\! \left(x \right) F_{2}\! \left(x \right)\\
F_{117}\! \left(x \right) &= \frac{F_{118}\! \left(x \right)}{F_{122}\! \left(x \right)}\\
F_{118}\! \left(x \right) &= -F_{141}\! \left(x \right)+F_{119}\! \left(x \right)\\
F_{119}\! \left(x \right) &= \frac{F_{120}\! \left(x \right)}{F_{21}\! \left(x \right)}\\
F_{120}\! \left(x \right) &= F_{121}\! \left(x \right)\\
F_{121}\! \left(x \right) &= -F_{122}\! \left(x \right)+F_{33}\! \left(x \right)\\
F_{122}\! \left(x \right) &= F_{1}\! \left(x \right)+F_{123}\! \left(x \right)\\
F_{123}\! \left(x \right) &= F_{124}\! \left(x \right)\\
F_{124}\! \left(x \right) &= F_{125}\! \left(x \right) F_{21}\! \left(x \right)\\
F_{125}\! \left(x \right) &= F_{122}\! \left(x \right)+F_{126}\! \left(x \right)\\
F_{126}\! \left(x \right) &= F_{127}\! \left(x \right)+F_{36}\! \left(x \right)\\
F_{127}\! \left(x \right) &= F_{128}\! \left(x \right)+F_{129}\! \left(x \right)+F_{137}\! \left(x \right)\\
F_{128}\! \left(x \right) &= 0\\
F_{129}\! \left(x \right) &= F_{130}\! \left(x \right) F_{21}\! \left(x \right)\\
F_{130}\! \left(x \right) &= F_{131}\! \left(x \right)+F_{132}\! \left(x \right)\\
F_{131}\! \left(x \right) &= F_{123}\! \left(x \right)+F_{127}\! \left(x \right)\\
F_{132}\! \left(x \right) &= F_{133}\! \left(x \right)+F_{135}\! \left(x \right)\\
F_{133}\! \left(x \right) &= F_{134}\! \left(x \right)\\
F_{134}\! \left(x \right) &= F_{123}\! \left(x \right) F_{21}\! \left(x \right)\\
F_{135}\! \left(x \right) &= F_{136}\! \left(x \right)\\
F_{136}\! \left(x \right) &= F_{127}\! \left(x \right) F_{21}\! \left(x \right)\\
F_{137}\! \left(x \right) &= F_{138}\! \left(x \right) F_{21}\! \left(x \right)\\
F_{138}\! \left(x \right) &= F_{139}\! \left(x \right)+F_{140}\! \left(x \right)\\
F_{139}\! \left(x \right) &= F_{133}\! \left(x \right)+F_{21}\! \left(x \right)\\
F_{140}\! \left(x \right) &= F_{135}\! \left(x \right)+F_{40}\! \left(x \right)\\
F_{141}\! \left(x \right) &= -F_{145}\! \left(x \right)+F_{142}\! \left(x \right)\\
F_{142}\! \left(x \right) &= \frac{F_{143}\! \left(x \right)}{F_{21}\! \left(x \right)}\\
F_{143}\! \left(x \right) &= F_{144}\! \left(x \right)\\
F_{144}\! \left(x \right) &= -F_{85}\! \left(x \right)+F_{121}\! \left(x \right)\\
F_{145}\! \left(x \right) &= F_{117}\! \left(x \right) F_{123}\! \left(x \right)\\
F_{146}\! \left(x \right) &= F_{1}\! \left(x \right)+F_{21}\! \left(x \right)\\
F_{147}\! \left(x \right) &= F_{148}\! \left(x \right)\\
F_{148}\! \left(x \right) &= F_{117}\! \left(x \right) F_{149}\! \left(x \right) F_{5}\! \left(x \right)\\
F_{149}\! \left(x \right) &= F_{150}\! \left(x \right)+F_{75}\! \left(x \right)\\
F_{150}\! \left(x \right) &= -F_{172}\! \left(x \right)+F_{151}\! \left(x \right)\\
F_{151}\! \left(x \right) &= F_{152}\! \left(x \right)\\
F_{152}\! \left(x \right) &= F_{153}\! \left(x \right) F_{21}\! \left(x \right)\\
F_{153}\! \left(x \right) &= -F_{167}\! \left(x \right)+F_{154}\! \left(x \right)\\
F_{154}\! \left(x \right) &= \frac{F_{155}\! \left(x \right)}{F_{21}\! \left(x \right)}\\
F_{155}\! \left(x \right) &= F_{156}\! \left(x \right)\\
F_{156}\! \left(x \right) &= F_{157}\! \left(x \right)+F_{51}\! \left(x \right)\\
F_{157}\! \left(x \right) &= F_{158}\! \left(x \right)\\
F_{158}\! \left(x \right) &= F_{159}\! \left(x \right) F_{21}\! \left(x \right)\\
F_{159}\! \left(x \right) &= F_{160}\! \left(x \right)\\
F_{160}\! \left(x \right) &= F_{161}\! \left(x \right) F_{21}\! \left(x \right)\\
F_{161}\! \left(x \right) &= F_{162}\! \left(x \right)+F_{165}\! \left(x \right)\\
F_{162}\! \left(x \right) &= F_{163}\! \left(x \right) F_{35}\! \left(x \right)\\
F_{163}\! \left(x \right) &= F_{164}\! \left(x \right)+F_{70}\! \left(x \right)\\
F_{164}\! \left(x \right) &= F_{100}\! \left(x \right) F_{2}\! \left(x \right)\\
F_{165}\! \left(x \right) &= F_{100}\! \left(x \right) F_{166}\! \left(x \right)\\
F_{166}\! \left(x \right) &= F_{43}\! \left(x \right)+F_{53}\! \left(x \right)\\
F_{167}\! \left(x \right) &= F_{168}\! \left(x \right)\\
F_{168}\! \left(x \right) &= F_{169}\! \left(x \right)\\
F_{169}\! \left(x \right) &= F_{170}\! \left(x \right) F_{21}\! \left(x \right)\\
F_{170}\! \left(x \right) &= F_{162}\! \left(x \right)+F_{171}\! \left(x \right)\\
F_{171}\! \left(x \right) &= F_{100}\! \left(x \right) F_{149}\! \left(x \right)\\
F_{172}\! \left(x \right) &= F_{0}\! \left(x \right) F_{36}\! \left(x \right)\\
F_{173}\! \left(x \right) &= F_{174}\! \left(x \right)\\
F_{174}\! \left(x \right) &= F_{175}\! \left(x \right) F_{21}\! \left(x \right)\\
F_{175}\! \left(x \right) &= \frac{F_{176}\! \left(x \right)}{F_{21}\! \left(x \right) F_{5}\! \left(x \right)}\\
F_{176}\! \left(x \right) &= F_{177}\! \left(x \right)\\
F_{177}\! \left(x \right) &= -F_{190}\! \left(x \right)+F_{178}\! \left(x \right)\\
F_{178}\! \left(x \right) &= F_{179}\! \left(x \right)+F_{189}\! \left(x \right)\\
F_{179}\! \left(x \right) &= F_{180}\! \left(x \right) F_{33}\! \left(x \right)\\
F_{180}\! \left(x \right) &= F_{181}\! \left(x \right)+F_{182}\! \left(x \right)\\
F_{181}\! \left(x \right) &= F_{35}\! \left(x \right) F_{5}\! \left(x \right)\\
F_{182}\! \left(x \right) &= F_{183}\! \left(x \right)\\
F_{183}\! \left(x \right) &= F_{184}\! \left(x \right) F_{21}\! \left(x \right) F_{5}\! \left(x \right)\\
F_{184}\! \left(x \right) &= F_{185}\! \left(x \right)+F_{188}\! \left(x \right)\\
F_{185}\! \left(x \right) &= \frac{F_{186}\! \left(x \right)}{F_{21}\! \left(x \right)}\\
F_{186}\! \left(x \right) &= F_{187}\! \left(x \right)\\
F_{187}\! \left(x \right) &= -F_{35}\! \left(x \right)+F_{117}\! \left(x \right)\\
F_{188}\! \left(x \right) &= F_{180}\! \left(x \right) F_{85}\! \left(x \right)\\
F_{189}\! \left(x \right) &= F_{117}\! \left(x \right) F_{16}\! \left(x \right)\\
F_{190}\! \left(x \right) &= F_{31}\! \left(x \right) F_{5}\! \left(x \right)\\
F_{191}\! \left(x \right) &= F_{192}\! \left(x \right)\\
F_{192}\! \left(x \right) &= F_{178}\! \left(x \right) F_{21}\! \left(x \right)\\
F_{193}\! \left(x \right) &= F_{194}\! \left(x \right)\\
F_{194}\! \left(x \right) &= F_{195}\! \left(x \right) F_{21}\! \left(x \right)\\
F_{195}\! \left(x \right) &= F_{196}\! \left(x \right)+F_{214}\! \left(x \right)\\
F_{196}\! \left(x \right) &= \frac{F_{197}\! \left(x \right)}{F_{21}\! \left(x \right)}\\
F_{197}\! \left(x \right) &= F_{198}\! \left(x \right)\\
F_{198}\! \left(x \right) &= F_{199}\! \left(x \right)+F_{204}\! \left(x \right)\\
F_{199}\! \left(x \right) &= F_{200}\! \left(x \right)+F_{201}\! \left(x \right)\\
F_{200}\! \left(x \right) &= F_{35}\! \left(x \right) F_{6}\! \left(x \right)\\
F_{201}\! \left(x \right) &= -F_{182}\! \left(x \right)+F_{202}\! \left(x \right)\\
F_{202}\! \left(x \right) &= F_{203}\! \left(x \right)\\
F_{203}\! \left(x \right) &= F_{184}\! \left(x \right) F_{21}\! \left(x \right) F_{4}\! \left(x \right)\\
F_{204}\! \left(x \right) &= F_{2}\! \left(x \right) F_{205}\! \left(x \right)\\
F_{205}\! \left(x \right) &= -F_{180}\! \left(x \right)+F_{206}\! \left(x \right)\\
F_{206}\! \left(x \right) &= \frac{F_{207}\! \left(x \right)}{F_{21}\! \left(x \right)}\\
F_{207}\! \left(x \right) &= F_{208}\! \left(x \right)\\
F_{208}\! \left(x \right) &= F_{209}\! \left(x \right)+F_{212}\! \left(x \right)\\
F_{209}\! \left(x \right) &= F_{210}\! \left(x \right) F_{35}\! \left(x \right)\\
F_{210}\! \left(x \right) &= F_{211}\! \left(x \right)\\
F_{211}\! \left(x \right) &= F_{21}\! \left(x \right) F_{83}\! \left(x \right)\\
F_{212}\! \left(x \right) &= F_{213}\! \left(x \right)\\
F_{213}\! \left(x \right) &= F_{184}\! \left(x \right) F_{21}\! \left(x \right) F_{210}\! \left(x \right)\\
F_{214}\! \left(x \right) &= F_{215}\! \left(x \right)\\
F_{215}\! \left(x \right) &= F_{117}\! \left(x \right) F_{216}\! \left(x \right)\\
F_{216}\! \left(x \right) &= \frac{F_{217}\! \left(x \right)}{F_{21}\! \left(x \right) F_{5}\! \left(x \right)}\\
F_{217}\! \left(x \right) &= F_{218}\! \left(x \right)\\
F_{218}\! \left(x \right) &= -F_{370}\! \left(x \right)+F_{219}\! \left(x \right)\\
F_{219}\! \left(x \right) &= F_{220}\! \left(x \right)+F_{225}\! \left(x \right)\\
F_{220}\! \left(x \right) &= F_{221}\! \left(x \right)\\
F_{221}\! \left(x \right) &= F_{21}\! \left(x \right) F_{222}\! \left(x \right) F_{95}\! \left(x \right)\\
F_{222}\! \left(x \right) &= F_{223}\! \left(x \right)+F_{224}\! \left(x \right)\\
F_{223}\! \left(x \right) &= F_{0}\! \left(x \right)+F_{11}\! \left(x \right)\\
F_{224}\! \left(x \right) &= F_{5}\! \left(x \right) F_{69}\! \left(x \right)\\
F_{225}\! \left(x \right) &= F_{226}\! \left(x \right)\\
F_{226}\! \left(x \right) &= F_{21}\! \left(x \right) F_{227}\! \left(x \right)\\
F_{227}\! \left(x \right) &= F_{228}\! \left(x \right)\\
F_{228}\! \left(x \right) &= F_{21}\! \left(x \right) F_{229}\! \left(x \right)\\
F_{229}\! \left(x \right) &= -F_{304}\! \left(x \right)+F_{230}\! \left(x \right)\\
F_{230}\! \left(x \right) &= \frac{F_{231}\! \left(x \right)}{F_{21}\! \left(x \right)}\\
F_{231}\! \left(x \right) &= F_{232}\! \left(x \right)\\
F_{232}\! \left(x \right) &= -F_{240}\! \left(x \right)+F_{233}\! \left(x \right)\\
F_{233}\! \left(x \right) &= \frac{F_{234}\! \left(x \right)}{F_{21}\! \left(x \right)}\\
F_{234}\! \left(x \right) &= F_{235}\! \left(x \right)\\
F_{235}\! \left(x \right) &= -F_{239}\! \left(x \right)+F_{236}\! \left(x \right)\\
F_{236}\! \left(x \right) &= -F_{151}\! \left(x \right)+F_{237}\! \left(x \right)\\
F_{237}\! \left(x \right) &= \frac{F_{238}\! \left(x \right)}{F_{21}\! \left(x \right)}\\
F_{238}\! \left(x \right) &= F_{7}\! \left(x \right)\\
F_{239}\! \left(x \right) &= F_{221}\! \left(x \right)\\
F_{240}\! \left(x \right) &= F_{241}\! \left(x \right)\\
F_{241}\! \left(x \right) &= -F_{302}\! \left(x \right)+F_{242}\! \left(x \right)\\
F_{242}\! \left(x \right) &= -F_{246}\! \left(x \right)+F_{243}\! \left(x \right)\\
F_{243}\! \left(x \right) &= \frac{F_{244}\! \left(x \right)}{F_{21}\! \left(x \right)}\\
F_{244}\! \left(x \right) &= F_{245}\! \left(x \right)\\
F_{245}\! \left(x \right) &= -F_{51}\! \left(x \right)+F_{26}\! \left(x \right)\\
F_{246}\! \left(x \right) &= -F_{168}\! \left(x \right)+F_{247}\! \left(x \right)\\
F_{247}\! \left(x \right) &= F_{248}\! \left(x \right)\\
F_{248}\! \left(x \right) &= F_{21}\! \left(x \right) F_{249}\! \left(x \right)\\
F_{249}\! \left(x \right) &= F_{250}\! \left(x \right)+F_{251}\! \left(x \right)\\
F_{250}\! \left(x \right) &= F_{117}\! \left(x \right) F_{163}\! \left(x \right)\\
F_{251}\! \left(x \right) &= F_{100}\! \left(x \right) F_{252}\! \left(x \right)\\
F_{252}\! \left(x \right) &= \frac{F_{253}\! \left(x \right)}{F_{85}\! \left(x \right)}\\
F_{253}\! \left(x \right) &= -F_{301}\! \left(x \right)+F_{254}\! \left(x \right)\\
F_{254}\! \left(x \right) &= F_{255}\! \left(x \right)+F_{258}\! \left(x \right)\\
F_{255}\! \left(x \right) &= F_{256}\! \left(x \right) F_{5}\! \left(x \right)\\
F_{256}\! \left(x \right) &= F_{112}\! \left(x \right)+F_{257}\! \left(x \right)\\
F_{257}\! \left(x \right) &= F_{69}\! \left(x \right) F_{85}\! \left(x \right)\\
F_{258}\! \left(x \right) &= F_{259}\! \left(x \right)+F_{263}\! \left(x \right)\\
F_{259}\! \left(x \right) &= F_{260}\! \left(x \right)+F_{262}\! \left(x \right)\\
F_{260}\! \left(x \right) &= F_{2}\! \left(x \right) F_{261}\! \left(x \right)\\
F_{261}\! \left(x \right) &= -F_{5}\! \left(x \right)+F_{117}\! \left(x \right)\\
F_{262}\! \left(x \right) &= F_{12}\! \left(x \right) F_{85}\! \left(x \right)\\
F_{263}\! \left(x \right) &= F_{264}\! \left(x \right) F_{85}\! \left(x \right)\\
F_{264}\! \left(x \right) &= F_{265}\! \left(x \right)\\
F_{265}\! \left(x \right) &= F_{21}\! \left(x \right) F_{266}\! \left(x \right)\\
F_{266}\! \left(x \right) &= -F_{272}\! \left(x \right)+F_{267}\! \left(x \right)\\
F_{267}\! \left(x \right) &= \frac{F_{268}\! \left(x \right)}{F_{21}\! \left(x \right)}\\
F_{268}\! \left(x \right) &= F_{269}\! \left(x \right)\\
F_{269}\! \left(x \right) &= -F_{271}\! \left(x \right)+F_{270}\! \left(x \right)\\
F_{270}\! \left(x \right) &= F_{151}\! \left(x \right)+F_{235}\! \left(x \right)\\
F_{271}\! \left(x \right) &= F_{12}\! \left(x \right)+F_{261}\! \left(x \right)\\
F_{272}\! \left(x \right) &= -F_{297}\! \left(x \right)+F_{273}\! \left(x \right)\\
F_{273}\! \left(x \right) &= F_{274}\! \left(x \right)+F_{295}\! \left(x \right)\\
F_{274}\! \left(x \right) &= F_{275}\! \left(x \right)\\
F_{275}\! \left(x \right) &= F_{180}\! \left(x \right) F_{21}\! \left(x \right) F_{276}\! \left(x \right)\\
F_{276}\! \left(x \right) &= F_{108}\! \left(x \right)+F_{277}\! \left(x \right)\\
F_{277}\! \left(x \right) &= F_{2}\! \left(x \right) F_{278}\! \left(x \right)\\
F_{278}\! \left(x \right) &= F_{279}\! \left(x \right)+F_{5}\! \left(x \right)\\
F_{279}\! \left(x \right) &= -F_{291}\! \left(x \right)+F_{280}\! \left(x \right)\\
F_{280}\! \left(x \right) &= -F_{284}\! \left(x \right)+F_{281}\! \left(x \right)\\
F_{281}\! \left(x \right) &= \frac{F_{282}\! \left(x \right)}{F_{21}\! \left(x \right)}\\
F_{282}\! \left(x \right) &= F_{283}\! \left(x \right)\\
F_{283}\! \left(x \right) &= -F_{123}\! \left(x \right)+F_{107}\! \left(x \right)\\
F_{284}\! \left(x \right) &= -F_{288}\! \left(x \right)+F_{285}\! \left(x \right)\\
F_{285}\! \left(x \right) &= \frac{F_{286}\! \left(x \right)}{F_{21}\! \left(x \right)}\\
F_{286}\! \left(x \right) &= F_{287}\! \left(x \right)\\
F_{287}\! \left(x \right) &= F_{2}\! \left(x \right)+F_{283}\! \left(x \right)\\
F_{288}\! \left(x \right) &= -F_{156}\! \left(x \right)+F_{289}\! \left(x \right)\\
F_{289}\! \left(x \right) &= \frac{F_{290}\! \left(x \right)}{F_{21}\! \left(x \right)}\\
F_{290}\! \left(x \right) &= F_{105}\! \left(x \right)\\
F_{291}\! \left(x \right) &= -F_{6}\! \left(x \right)+F_{292}\! \left(x \right)\\
F_{292}\! \left(x \right) &= -F_{156}\! \left(x \right)+F_{293}\! \left(x \right)\\
F_{293}\! \left(x \right) &= \frac{F_{294}\! \left(x \right)}{F_{21}\! \left(x \right)}\\
F_{294}\! \left(x \right) &= F_{7}\! \left(x \right)\\
F_{295}\! \left(x \right) &= F_{296}\! \left(x \right)\\
F_{296}\! \left(x \right) &= F_{21}\! \left(x \right) F_{216}\! \left(x \right) F_{278}\! \left(x \right)\\
F_{297}\! \left(x \right) &= F_{298}\! \left(x \right)\\
F_{298}\! \left(x \right) &= F_{21}\! \left(x \right) F_{299}\! \left(x \right) F_{95}\! \left(x \right)\\
F_{299}\! \left(x \right) &= F_{276}\! \left(x \right)+F_{300}\! \left(x \right)\\
F_{300}\! \left(x \right) &= F_{278}\! \left(x \right) F_{75}\! \left(x \right)\\
F_{301}\! \left(x \right) &= F_{112}\! \left(x \right) F_{117}\! \left(x \right)\\
F_{302}\! \left(x \right) &= F_{303}\! \left(x \right)\\
F_{303}\! \left(x \right) &= F_{161}\! \left(x \right) F_{21}\! \left(x \right)\\
F_{304}\! \left(x \right) &= F_{305}\! \left(x \right)\\
F_{305}\! \left(x \right) &= F_{21}\! \left(x \right) F_{306}\! \left(x \right) F_{95}\! \left(x \right)\\
F_{306}\! \left(x \right) &= -F_{365}\! \left(x \right)+F_{307}\! \left(x \right)\\
F_{307}\! \left(x \right) &= \frac{F_{308}\! \left(x \right)}{F_{21}\! \left(x \right)}\\
F_{308}\! \left(x \right) &= F_{309}\! \left(x \right)\\
F_{309}\! \left(x \right) &= F_{310}\! \left(x \right)\\
F_{310}\! \left(x \right) &= F_{21}\! \left(x \right) F_{311}\! \left(x \right)\\
F_{311}\! \left(x \right) &= -F_{318}\! \left(x \right)+F_{312}\! \left(x \right)\\
F_{312}\! \left(x \right) &= \frac{F_{313}\! \left(x \right)}{F_{21}\! \left(x \right)}\\
F_{313}\! \left(x \right) &= F_{314}\! \left(x \right)\\
F_{314}\! \left(x \right) &= F_{271}\! \left(x \right)+F_{315}\! \left(x \right)\\
F_{315}\! \left(x \right) &= F_{316}\! \left(x \right)\\
F_{316}\! \left(x \right) &= F_{21}\! \left(x \right) F_{317}\! \left(x \right)\\
F_{317}\! \left(x \right) &= F_{266}\! \left(x \right)+F_{273}\! \left(x \right)\\
F_{318}\! \left(x \right) &= F_{319}\! \left(x \right)\\
F_{319}\! \left(x \right) &= F_{320}\! \left(x \right)+F_{362}\! \left(x \right)\\
F_{320}\! \left(x \right) &= F_{321}\! \left(x \right)\\
F_{321}\! \left(x \right) &= F_{108}\! \left(x \right) F_{322}\! \left(x \right)\\
F_{322}\! \left(x \right) &= \frac{F_{323}\! \left(x \right)}{F_{122}\! \left(x \right)}\\
F_{323}\! \left(x \right) &= -F_{359}\! \left(x \right)+F_{324}\! \left(x \right)\\
F_{324}\! \left(x \right) &= F_{325}\! \left(x \right)+F_{328}\! \left(x \right)\\
F_{325}\! \left(x \right) &= F_{122}\! \left(x \right) F_{326}\! \left(x \right)\\
F_{326}\! \left(x \right) &= \frac{F_{327}\! \left(x \right)}{F_{21}\! \left(x \right)}\\
F_{327}\! \left(x \right) &= F_{261}\! \left(x \right)\\
F_{328}\! \left(x \right) &= F_{180}\! \left(x \right) F_{329}\! \left(x \right)\\
F_{329}\! \left(x \right) &= F_{21}\! \left(x \right)+F_{330}\! \left(x \right)\\
F_{330}\! \left(x \right) &= F_{128}\! \left(x \right)+F_{331}\! \left(x \right)+F_{358}\! \left(x \right)\\
F_{331}\! \left(x \right) &= F_{21}\! \left(x \right) F_{332}\! \left(x \right)\\
F_{332}\! \left(x \right) &= F_{329}\! \left(x \right)+F_{333}\! \left(x \right)\\
F_{333}\! \left(x \right) &= F_{334}\! \left(x \right)+F_{344}\! \left(x \right)\\
F_{334}\! \left(x \right) &= F_{128}\! \left(x \right)+F_{335}\! \left(x \right)+F_{343}\! \left(x \right)\\
F_{335}\! \left(x \right) &= F_{21}\! \left(x \right) F_{336}\! \left(x \right)\\
F_{336}\! \left(x \right) &= F_{337}\! \left(x \right)+F_{338}\! \left(x \right)\\
F_{337}\! \left(x \right) &= F_{21}\! \left(x \right)+F_{334}\! \left(x \right)\\
F_{338}\! \left(x \right) &= F_{339}\! \left(x \right)+F_{341}\! \left(x \right)\\
F_{339}\! \left(x \right) &= F_{340}\! \left(x \right)\\
F_{340}\! \left(x \right) &= x^{2}\\
F_{341}\! \left(x \right) &= F_{342}\! \left(x \right)\\
F_{342}\! \left(x \right) &= F_{21}\! \left(x \right) F_{334}\! \left(x \right)\\
F_{343}\! \left(x \right) &= x^{2}\\
F_{344}\! \left(x \right) &= F_{128}\! \left(x \right)+F_{345}\! \left(x \right)+F_{353}\! \left(x \right)+F_{357}\! \left(x \right)\\
F_{345}\! \left(x \right) &= F_{21}\! \left(x \right) F_{346}\! \left(x \right)\\
F_{346}\! \left(x \right) &= F_{347}\! \left(x \right)+F_{348}\! \left(x \right)\\
F_{347}\! \left(x \right) &= F_{330}\! \left(x \right)+F_{344}\! \left(x \right)\\
F_{348}\! \left(x \right) &= F_{349}\! \left(x \right)+F_{351}\! \left(x \right)\\
F_{349}\! \left(x \right) &= F_{350}\! \left(x \right)\\
F_{350}\! \left(x \right) &= F_{21}\! \left(x \right) F_{330}\! \left(x \right)\\
F_{351}\! \left(x \right) &= F_{352}\! \left(x \right)\\
F_{352}\! \left(x \right) &= F_{21}\! \left(x \right) F_{344}\! \left(x \right)\\
F_{353}\! \left(x \right) &= F_{21}\! \left(x \right) F_{354}\! \left(x \right)\\
F_{354}\! \left(x \right) &= F_{355}\! \left(x \right)+F_{356}\! \left(x \right)\\
F_{355}\! \left(x \right) &= F_{339}\! \left(x \right)+F_{349}\! \left(x \right)\\
F_{356}\! \left(x \right) &= F_{341}\! \left(x \right)+F_{351}\! \left(x \right)\\
F_{357}\! \left(x \right) &= F_{21}\! \left(x \right) F_{40}\! \left(x \right)\\
F_{358}\! \left(x \right) &= F_{21}\! \left(x \right) F_{36}\! \left(x \right)\\
F_{359}\! \left(x \right) &= F_{180}\! \left(x \right) F_{360}\! \left(x \right)\\
F_{360}\! \left(x \right) &= F_{146}\! \left(x \right)+F_{361}\! \left(x \right)\\
F_{361}\! \left(x \right) &= F_{123}\! \left(x \right)+F_{330}\! \left(x \right)\\
F_{362}\! \left(x \right) &= F_{363}\! \left(x \right)\\
F_{363}\! \left(x \right) &= F_{21}\! \left(x \right) F_{278}\! \left(x \right) F_{364}\! \left(x \right) F_{5}\! \left(x \right)\\
F_{364}\! \left(x \right) &= F_{16}\! \left(x \right)+F_{309}\! \left(x \right)\\
F_{365}\! \left(x \right) &= F_{366}\! \left(x \right)\\
F_{366}\! \left(x \right) &= F_{21}\! \left(x \right) F_{367}\! \left(x \right)\\
F_{367}\! \left(x \right) &= F_{368}\! \left(x \right)+F_{369}\! \left(x \right)\\
F_{368}\! \left(x \right) &= F_{163}\! \left(x \right) F_{180}\! \left(x \right)\\
F_{369}\! \left(x \right) &= F_{100}\! \left(x \right) F_{216}\! \left(x \right)\\
F_{370}\! \left(x \right) &= F_{371}\! \left(x \right)\\
F_{371}\! \left(x \right) &= F_{180}\! \left(x \right) F_{21}\! \left(x \right) F_{223}\! \left(x \right)\\
F_{372}\! \left(x \right) &= F_{373}\! \left(x \right)+F_{52}\! \left(x \right)\\
F_{373}\! \left(x \right) &= F_{374}\! \left(x \right)\\
F_{374}\! \left(x \right) &= F_{21}\! \left(x \right) F_{375}\! \left(x \right)\\
F_{375}\! \left(x \right) &= F_{274}\! \left(x \right)+F_{376}\! \left(x \right)\\
F_{376}\! \left(x \right) &= F_{108}\! \left(x \right) F_{187}\! \left(x \right)\\
F_{377}\! \left(x \right) &= F_{198}\! \left(x \right)+F_{378}\! \left(x \right)\\
F_{378}\! \left(x \right) &= F_{379}\! \left(x \right)\\
F_{379}\! \left(x \right) &= F_{216}\! \left(x \right) F_{85}\! \left(x \right)\\
F_{380}\! \left(x \right) &= F_{381}\! \left(x \right)\\
F_{381}\! \left(x \right) &= F_{21}\! \left(x \right) F_{364}\! \left(x \right) F_{5}\! \left(x \right)\\
F_{382}\! \left(x \right) &= F_{383}\! \left(x \right)\\
F_{383}\! \left(x \right) &= F_{21}\! \left(x \right) F_{312}\! \left(x \right)\\
\end{align*}\)