7.166 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.027 * * * [progress]: [2/2] Setting up program. 0.029 * [progress]: [Phase 2 of 3] Improving. 0.029 * [simplify]: Simplifying using # : (- (atan (+ N 1.0)) (atan N)) 0.031 * * [simplify]: iteration 0 : 7 enodes (cost 7 ) 0.031 * * [simplify]: iteration 1 : 7 enodes (cost 7 ) 0.032 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.032 * * [progress]: iteration 1 / 4 0.032 * * * [progress]: picking best candidate 0.034 * * * * [pick]: Picked # 0.034 * * * [progress]: localizing error 0.040 * * * [progress]: generating rewritten candidates 0.040 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.043 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.044 * * * [progress]: generating series expansions 0.044 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.044 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.044 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.044 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.045 * [taylor]: Taking taylor expansion of (atan N) in N 0.045 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.045 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.045 * [taylor]: Taking taylor expansion of (atan N) in N 0.046 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.046 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.046 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.046 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.046 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.046 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.046 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.047 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.047 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.047 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.047 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.047 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.047 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.047 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.047 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.047 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.047 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.047 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.048 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.048 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.048 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.048 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.048 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.048 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.048 * * * [progress]: simplifying candidates 0.049 * [simplify]: Simplifying using # : (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)) (/ (exp (atan (+ N 1.0))) (exp (atan N))) (log (- (atan (+ N 1.0)) (atan N))) (exp (- (atan (+ N 1.0)) (atan N))) (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N)))) (cbrt (- (atan (+ N 1.0)) (atan N))) (* (* (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N))) (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1.0)) (atan (+ N 1.0))) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (atan N)))) (neg (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (atan (+ N 1.0)) (atan N)) (log (atan (+ N 1.0))) (exp (atan (+ N 1.0))) (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (* (* (atan (+ N 1.0)) (atan (+ N 1.0))) (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (atan (+ N 1.0)) (atan (+ N 1.0)) (atan (+ N 1.0)) 0.066 * * [simplify]: iteration 0 : 5041 enodes (cost 236 ) 0.068 * [simplify]: Simplified to: 1.0 (+ 1 (* N (+ N 1.0))) (exp (- (atan (+ N 1.0)) (atan N))) (log (- (atan (+ N 1.0)) (atan N))) (exp (- (atan (+ N 1.0)) (atan N))) (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N)))) (cbrt (- (atan (+ N 1.0)) (atan N))) (pow (- (atan (+ N 1.0)) (atan N)) 3) (sqrt (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3)) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (+ (atan (+ N 1.0)) (atan N)))) (neg (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (atan (+ N 1.0)) (atan N)) (log (atan (+ N 1.0))) (exp (atan (+ N 1.0))) (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (pow (atan (+ N 1.0)) 3) (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (atan (+ N 1.0)) (atan (+ N 1.0)) (atan (+ N 1.0)) 0.068 * * * [progress]: adding candidates to table 0.104 * * [progress]: iteration 2 / 4 0.104 * * * [progress]: picking best candidate 0.108 * * * * [pick]: Picked # 0.108 * * * [progress]: localizing error 0.114 * * * [progress]: generating rewritten candidates 0.114 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.115 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.121 * * * [progress]: generating series expansions 0.121 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.121 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.121 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.121 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.122 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.122 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.122 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.123 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.123 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.123 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.123 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.123 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 0.123 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.123 * [taylor]: Taking taylor expansion of N in N 0.123 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.123 * [taylor]: Taking taylor expansion of N in N 0.124 * [taylor]: Taking taylor expansion of 1.0 in N 0.124 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.124 * [taylor]: Taking taylor expansion of N in N 0.124 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.124 * [taylor]: Taking taylor expansion of N in N 0.124 * [taylor]: Taking taylor expansion of 1.0 in N 0.124 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 0.124 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.124 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.124 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.124 * [taylor]: Taking taylor expansion of N in N 0.124 * [taylor]: Taking taylor expansion of 1.0 in N 0.124 * [taylor]: Taking taylor expansion of N in N 0.124 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.124 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.125 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.125 * [taylor]: Taking taylor expansion of N in N 0.125 * [taylor]: Taking taylor expansion of 1.0 in N 0.125 * [taylor]: Taking taylor expansion of N in N 0.126 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 0.126 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.126 * [taylor]: Taking taylor expansion of -1 in N 0.126 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.126 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.126 * [taylor]: Taking taylor expansion of 1.0 in N 0.126 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.126 * [taylor]: Taking taylor expansion of N in N 0.126 * [taylor]: Taking taylor expansion of N in N 0.126 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.126 * [taylor]: Taking taylor expansion of -1 in N 0.126 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.126 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.126 * [taylor]: Taking taylor expansion of 1.0 in N 0.126 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.126 * [taylor]: Taking taylor expansion of N in N 0.126 * [taylor]: Taking taylor expansion of N in N 0.128 * * * [progress]: simplifying candidates 0.128 * [simplify]: Simplifying using # : (log (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (exp (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (* (cbrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (cbrt (atan2 1.0 (+ 1 (* N (+ N 1.0)))))) (cbrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (* (* (atan2 1.0 (+ 1 (* N (+ N 1.0)))) (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (sqrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (sqrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (* N (+ N 1.0)) (+ (log N) (log (+ N 1.0))) (log (* N (+ N 1.0))) (exp (* N (+ N 1.0))) (* (* (* N N) N) (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0))) (* (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0)))) (cbrt (* N (+ N 1.0))) (* (* (* N (+ N 1.0)) (* N (+ N 1.0))) (* N (+ N 1.0))) (sqrt (* N (+ N 1.0))) (sqrt (* N (+ N 1.0))) (* (sqrt N) (sqrt (+ N 1.0))) (* (sqrt N) (sqrt (+ N 1.0))) (* N N) (* N 1.0) (* N N) (* 1.0 N) (* N (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* N (sqrt (+ N 1.0))) (* N 1) (* N 1) (* (cbrt N) (+ N 1.0)) (* (sqrt N) (+ N 1.0)) (* N (+ N 1.0)) (* N (+ (pow N 3) (pow 1.0 3))) (* N (- (* N N) (* 1.0 1.0))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) 0.185 * * [simplify]: iteration 0 : 4980 enodes (cost 272 ) 0.185 * * [simplify]: iteration 1 : 4980 enodes (cost 272 ) 0.186 * [simplify]: Simplified to: (log (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (exp (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (* (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (pow (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) 3) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (* N (+ 1.0 N)) (log (* N (+ 1.0 N))) (log (* N (+ 1.0 N))) (pow (exp N) (+ 1.0 N)) (pow (* N (+ 1.0 N)) 3) (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N))) (pow (* N (+ 1.0 N)) 3) (sqrt (* N (+ 1.0 N))) (sqrt (* N (+ 1.0 N))) (* (sqrt N) (sqrt (+ 1.0 N))) (* (sqrt N) (sqrt (+ 1.0 N))) (* N N) (* 1.0 N) (* N N) (* 1.0 N) (* N (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (* N (sqrt (+ 1.0 N))) N N (* (+ 1.0 N) (cbrt N)) (* (+ 1.0 N) (sqrt N)) (* N (+ 1.0 N)) (+ (pow N 4) (* N (pow 1.0 3))) (* N (- (* N N) (* 1.0 1.0))) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (* N (+ 1.0 N)) (* N (+ 1.0 N)) (* N (+ 1.0 N)) 0.187 * * * [progress]: adding candidates to table 0.235 * * [progress]: iteration 3 / 4 0.235 * * * [progress]: picking best candidate 0.247 * * * * [pick]: Picked # 0.247 * * * [progress]: localizing error 0.256 * * * [progress]: generating rewritten candidates 0.256 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.257 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.258 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.264 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.266 * * * [progress]: generating series expansions 0.267 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.267 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0 0.267 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.267 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.267 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.267 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.269 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0 0.269 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.269 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.269 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.269 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.271 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0 0.271 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.271 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.271 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.271 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.273 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.273 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0 0.273 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.273 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.273 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.273 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.275 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0 0.275 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.275 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.275 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.275 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.277 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0 0.277 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.277 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.277 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.277 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.279 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.279 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.279 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.279 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.280 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.280 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.280 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.281 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.281 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.281 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.281 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.282 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.282 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.282 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.282 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.282 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.282 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.283 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.283 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.283 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.283 * * * [progress]: simplifying candidates 0.285 * [simplify]: Simplifying using # : (log (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (exp (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (* (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt 1) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (/ 1 2) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (log (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (exp (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (* (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt 1) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (/ 1 2) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (+ 1 1) (+ (log (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (log (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (log (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (exp (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (* (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (cbrt (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (cbrt (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (cbrt (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (* (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (sqrt (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (* (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (sqrt (* (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (sqrt (* (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (* (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* 1 1) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (* (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt 1)) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 1) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (log (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (exp (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (* (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (* (* (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.325 * * [simplify]: iteration 0 : 5253 enodes (cost 989 ) 0.329 * [simplify]: Simplified to: (log (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (exp (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (pow (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 3) (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 1 (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 1/2 (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (log (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (exp (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (pow (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 3) (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 1 (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 1/2 (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 1 1 2 1 1 (pow (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 4) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (pow (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 4) 2 (log (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (log (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (exp (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (pow (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) 3) (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 4) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (pow (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) 3) (pow (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 4) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 4) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 4) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 1 (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 1 (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 1 2 1 (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 5) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 4) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (log (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (exp (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 4) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (pow (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) 3) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) 0.330 * * * [progress]: adding candidates to table 0.439 * * [progress]: iteration 4 / 4 0.439 * * * [progress]: picking best candidate 0.454 * * * * [pick]: Picked # 0.454 * * * [progress]: localizing error 0.470 * * * [progress]: generating rewritten candidates 0.470 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 0.471 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 0.472 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.473 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.480 * * * [progress]: generating series expansions 0.480 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 0.480 * [approximate]: Taking taylor expansion of (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) in (N) around 0 0.481 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) in N 0.481 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) in N 0.481 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))) in N 0.481 * [taylor]: Taking taylor expansion of 1/3 in N 0.481 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.481 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.481 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) in N 0.481 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) in N 0.481 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))) in N 0.481 * [taylor]: Taking taylor expansion of 1/3 in N 0.481 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.481 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.491 * [approximate]: Taking taylor expansion of (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3) in (N) around 0 0.491 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3) in N 0.491 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) in N 0.491 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))) in N 0.491 * [taylor]: Taking taylor expansion of 1/3 in N 0.491 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.491 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.491 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3) in N 0.491 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) in N 0.491 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))) in N 0.491 * [taylor]: Taking taylor expansion of 1/3 in N 0.491 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.491 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.502 * [approximate]: Taking taylor expansion of (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3) in (N) around 0 0.502 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3) in N 0.502 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) in N 0.502 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) in N 0.502 * [taylor]: Taking taylor expansion of 1/3 in N 0.502 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.502 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.503 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3) in N 0.503 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) in N 0.503 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) in N 0.503 * [taylor]: Taking taylor expansion of 1/3 in N 0.503 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.503 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.513 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 0.513 * [approximate]: Taking taylor expansion of (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) in (N) around 0 0.513 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) in N 0.513 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) in N 0.513 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))) in N 0.513 * [taylor]: Taking taylor expansion of 1/3 in N 0.513 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.513 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.514 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) in N 0.514 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) in N 0.514 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))) in N 0.514 * [taylor]: Taking taylor expansion of 1/3 in N 0.514 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.514 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.524 * [approximate]: Taking taylor expansion of (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3) in (N) around 0 0.524 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3) in N 0.524 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) in N 0.524 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))) in N 0.524 * [taylor]: Taking taylor expansion of 1/3 in N 0.524 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.524 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.524 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3) in N 0.524 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) in N 0.524 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))) in N 0.524 * [taylor]: Taking taylor expansion of 1/3 in N 0.524 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.524 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.535 * [approximate]: Taking taylor expansion of (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3) in (N) around 0 0.535 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3) in N 0.535 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) in N 0.535 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) in N 0.535 * [taylor]: Taking taylor expansion of 1/3 in N 0.535 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.535 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.536 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3) in N 0.536 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) in N 0.536 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) in N 0.536 * [taylor]: Taking taylor expansion of 1/3 in N 0.536 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.536 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.547 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.547 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0 0.547 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.547 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.547 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.547 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.551 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0 0.551 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.551 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.551 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.551 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.553 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0 0.553 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.553 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.554 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.554 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.555 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.556 * [approximate]: Taking taylor expansion of (* (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/6) (fabs (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3))) in (N) around 0 0.556 * [taylor]: Taking taylor expansion of (* (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/6) (fabs (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3))) in N 0.556 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/6) in N 0.556 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) in N 0.556 * [taylor]: Taking taylor expansion of (* 1/6 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))) in N 0.556 * [taylor]: Taking taylor expansion of 1/6 in N 0.556 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.556 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.556 * [taylor]: Taking taylor expansion of (fabs (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3)) in N 0.556 * [taylor]: Taking taylor expansion of (* (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/6) (fabs (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3))) in N 0.556 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/6) in N 0.556 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) in N 0.556 * [taylor]: Taking taylor expansion of (* 1/6 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))) in N 0.556 * [taylor]: Taking taylor expansion of 1/6 in N 0.556 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.556 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.557 * [taylor]: Taking taylor expansion of (fabs (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3)) in N 0.568 * [approximate]: Taking taylor expansion of (* (fabs (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/6)) in (N) around 0 0.568 * [taylor]: Taking taylor expansion of (* (fabs (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/6)) in N 0.568 * [taylor]: Taking taylor expansion of (fabs (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3)) in N 0.569 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/6) in N 0.569 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) in N 0.569 * [taylor]: Taking taylor expansion of (* 1/6 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))) in N 0.569 * [taylor]: Taking taylor expansion of 1/6 in N 0.569 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.569 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.569 * [taylor]: Taking taylor expansion of (* (fabs (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3)) (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/6)) in N 0.569 * [taylor]: Taking taylor expansion of (fabs (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3)) in N 0.569 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/6) in N 0.569 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) in N 0.569 * [taylor]: Taking taylor expansion of (* 1/6 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))) in N 0.569 * [taylor]: Taking taylor expansion of 1/6 in N 0.569 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.569 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.583 * [approximate]: Taking taylor expansion of (* (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/6) (fabs (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3))) in (N) around 0 0.583 * [taylor]: Taking taylor expansion of (* (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/6) (fabs (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3))) in N 0.583 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/6) in N 0.583 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) in N 0.583 * [taylor]: Taking taylor expansion of (* 1/6 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) in N 0.583 * [taylor]: Taking taylor expansion of 1/6 in N 0.583 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.583 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.584 * [taylor]: Taking taylor expansion of (fabs (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3)) in N 0.584 * [taylor]: Taking taylor expansion of (* (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/6) (fabs (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3))) in N 0.584 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/6) in N 0.584 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) in N 0.584 * [taylor]: Taking taylor expansion of (* 1/6 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) in N 0.584 * [taylor]: Taking taylor expansion of 1/6 in N 0.584 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.584 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.584 * [taylor]: Taking taylor expansion of (fabs (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3)) in N 0.597 * * * [progress]: simplifying candidates 0.598 * [simplify]: Simplifying using # : (log (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (exp (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (* (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (cbrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt 1) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (* (cbrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (cbrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (* (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (log (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (exp (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (* (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (cbrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt 1) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (* (cbrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (cbrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (* (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (log (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (exp (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (* (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt 1) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (/ 1 2) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (+ (log (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (log (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (log (* (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (exp (* (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (* (* (* (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (* (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (* (cbrt (* (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (cbrt (* (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))))) (cbrt (* (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (* (* (* (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (* (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (sqrt (* (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (sqrt (* (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (* (sqrt (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (sqrt (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (* (sqrt (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (sqrt (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (* (sqrt (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (sqrt (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (* (sqrt (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (sqrt (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (* (sqrt (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (sqrt (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (* (sqrt (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (sqrt (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (* (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (cbrt (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (cbrt (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))))) (* (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (cbrt (* (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))))) (* (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (* (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (cbrt 1))) (* (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (* (cbrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))))) (* (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (* (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt 1)) (* (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (* (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 1) (* (cbrt (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (sqrt (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (* (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/6) (fabs (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3))) (* (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/6) (fabs (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3))) (* (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/6) (fabs (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3))) 0.650 * * [simplify]: iteration 0 : 4914 enodes (cost 1275 ) 0.650 * * [simplify]: iteration 1 : 4914 enodes (cost 1275 ) 0.655 * [simplify]: Simplified to: (log (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (exp (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (pow (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) 2/3)) (cbrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt 1) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (* (cbrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (cbrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (log (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (exp (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (pow (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) 2/3)) (cbrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt 1) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (* (cbrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (cbrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (log (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (exp (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (pow (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 3) (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 1 (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 1/2 (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (log (* (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (log (* (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (pow (exp (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (pow (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 7)) (* (cbrt (* (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (cbrt (* (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))))) (cbrt (* (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (* (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (pow (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 7)) (sqrt (* (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (sqrt (* (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (* (sqrt (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (sqrt (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (* (sqrt (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (sqrt (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (* (sqrt (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (sqrt (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (* (sqrt (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (sqrt (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (* (sqrt (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (sqrt (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (* (sqrt (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (sqrt (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (* (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (cbrt (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (cbrt (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))))) (* (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (cbrt (pow (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) 2/3)))) (* (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (* (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (cbrt 1))) (* (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (fabs (cbrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (* (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (* (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (* (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (* (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (pow (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) 1/6)) (* (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (pow (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) 1/6)) (* (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (pow (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) 1/6)) 0.655 * * * [progress]: adding candidates to table 0.858 * [progress]: [Phase 3 of 3] Extracting. 0.859 * * [regime]: Finding splitpoints for: (# # # # # # #) 0.860 * * * [regime-changes]: Trying 2 branch expressions: ((- (atan (+ N 1.0)) (atan N)) N) 0.860 * * * * [regimes]: Trying to branch on (- (atan (+ N 1.0)) (atan N)) from (# # # # # # #) 0.903 * * * * [regimes]: Trying to branch on N from (# # # # # # #) 0.943 * * * [regime]: Found split indices: #