11.705 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.029 * * * [progress]: [2/2] Setting up program. 0.032 * [progress]: [Phase 2 of 3] Improving. 0.032 * [simplify]: Simplifying using # : (- (atan (+ N 1.0)) (atan N)) 0.036 * * [simplify]: iteration 0 : 71 enodes (cost 7 ) 0.036 * * [simplify]: iteration 1 : 71 enodes (cost 7 ) 0.036 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.036 * * [progress]: iteration 1 / 4 0.036 * * * [progress]: picking best candidate 0.039 * * * * [pick]: Picked # 0.039 * * * [progress]: localizing error 0.044 * * * [progress]: generating rewritten candidates 0.044 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.047 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.049 * * * [progress]: generating series expansions 0.049 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.049 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.049 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.049 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.049 * [taylor]: Taking taylor expansion of (atan N) in N 0.049 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.049 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.049 * [taylor]: Taking taylor expansion of (atan N) in N 0.049 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.049 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.049 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.050 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.050 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.050 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.050 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.050 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.050 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.050 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.050 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.050 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.050 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.050 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.051 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.051 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.051 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.051 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.051 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.051 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.051 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.051 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.051 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.051 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.052 * * * [progress]: simplifying candidates 0.052 * [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)) 0.115 * * [simplify]: iteration 0 : 5349 enodes (cost 236 ) 0.117 * [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)) 0.117 * * * [progress]: adding candidates to table 0.148 * * [progress]: iteration 2 / 4 0.148 * * * [progress]: picking best candidate 0.155 * * * * [pick]: Picked # 0.155 * * * [progress]: localizing error 0.161 * * * [progress]: generating rewritten candidates 0.161 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.162 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.165 * * * [progress]: generating series expansions 0.165 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.166 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.166 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.166 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.166 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.166 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.166 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.167 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.167 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.167 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.167 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.168 * [approximate]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in (N) around 0 0.168 * [taylor]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in N 0.168 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.168 * [taylor]: Taking taylor expansion of N in N 0.168 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 0.168 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.168 * [taylor]: Taking taylor expansion of 1.0 in N 0.168 * [taylor]: Taking taylor expansion of N in N 0.168 * [taylor]: Taking taylor expansion of 1 in N 0.168 * [taylor]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in N 0.168 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.168 * [taylor]: Taking taylor expansion of N in N 0.168 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 0.168 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.168 * [taylor]: Taking taylor expansion of 1.0 in N 0.168 * [taylor]: Taking taylor expansion of N in N 0.168 * [taylor]: Taking taylor expansion of 1 in N 0.168 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in (N) around 0 0.168 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in N 0.168 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.168 * [taylor]: Taking taylor expansion of 1.0 in N 0.168 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.168 * [taylor]: Taking taylor expansion of N in N 0.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.168 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.168 * [taylor]: Taking taylor expansion of N in N 0.168 * [taylor]: Taking taylor expansion of 1 in N 0.168 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in N 0.168 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.168 * [taylor]: Taking taylor expansion of 1.0 in N 0.169 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.169 * [taylor]: Taking taylor expansion of N in N 0.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.169 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.169 * [taylor]: Taking taylor expansion of N in N 0.169 * [taylor]: Taking taylor expansion of 1 in N 0.169 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in (N) around 0 0.169 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N 0.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.169 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.169 * [taylor]: Taking taylor expansion of N in N 0.169 * [taylor]: Taking taylor expansion of 1 in N 0.169 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.169 * [taylor]: Taking taylor expansion of 1.0 in N 0.169 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.169 * [taylor]: Taking taylor expansion of N in N 0.169 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N 0.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.169 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.169 * [taylor]: Taking taylor expansion of N in N 0.169 * [taylor]: Taking taylor expansion of 1 in N 0.169 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.169 * [taylor]: Taking taylor expansion of 1.0 in N 0.169 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.169 * [taylor]: Taking taylor expansion of N in N 0.170 * * * [progress]: simplifying candidates 0.170 * [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))))) (* (exp 1) (exp (* N (+ N 1.0)))) (log (+ 1 (* N (+ N 1.0)))) (exp (+ 1 (* N (+ N 1.0)))) (* (cbrt (+ 1 (* N (+ N 1.0)))) (cbrt (+ 1 (* N (+ N 1.0))))) (cbrt (+ 1 (* N (+ N 1.0)))) (* (* (+ 1 (* N (+ N 1.0))) (+ 1 (* N (+ N 1.0)))) (+ 1 (* N (+ N 1.0)))) (sqrt (+ 1 (* N (+ N 1.0)))) (sqrt (+ 1 (* N (+ N 1.0)))) (+ (pow 1 3) (pow (* N (+ N 1.0)) 3)) (+ (* 1 1) (- (* (* N (+ N 1.0)) (* N (+ N 1.0))) (* 1 (* N (+ N 1.0))))) (- (* 1 1) (* (* N (+ N 1.0)) (* N (+ N 1.0)))) (- 1 (* N (+ N 1.0))) (+ 1 (* N N)) (+ 1 (* N N)) (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) 1)) (+ (pow N 2) (+ (* 1.0 N) 1)) (+ (pow N 2) (+ (* 1.0 N) 1)) 0.219 * * [simplify]: iteration 0 : 4998 enodes (cost 258 ) 0.219 * * [simplify]: iteration 1 : 4998 enodes (cost 258 ) 0.220 * [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))))) (* E (pow (exp N) (+ 1.0 N))) (log (+ 1 (* N (+ 1.0 N)))) (* E (pow (exp N) (+ 1.0 N))) (* (cbrt (+ 1 (* N (+ 1.0 N)))) (cbrt (+ 1 (* N (+ 1.0 N))))) (cbrt (+ 1 (* N (+ 1.0 N)))) (pow (+ 1 (* N (+ 1.0 N))) 3) (sqrt (+ 1 (* N (+ 1.0 N)))) (sqrt (+ 1 (* N (+ 1.0 N)))) (+ 1 (pow (* N (+ 1.0 N)) 3)) (+ 1 (* N (* (+ 1.0 N) (+ (* N (+ 1.0 N)) -1)))) (- 1 (* N (* N (* (+ 1.0 N) (+ 1.0 N))))) (- 1 (* N (+ 1.0 N))) (+ 1 (* N N)) (+ 1 (* N 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)))) (+ 1 (* N (+ 1.0 N))) (+ 1 (* N (+ 1.0 N))) (+ 1 (* N (+ 1.0 N))) 0.220 * * * [progress]: adding candidates to table 0.254 * * [progress]: iteration 3 / 4 0.254 * * * [progress]: picking best candidate 0.270 * * * * [pick]: Picked # 0.270 * * * [progress]: localizing error 0.280 * * * [progress]: generating rewritten candidates 0.280 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.282 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.285 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 0.287 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.288 * * * [progress]: generating series expansions 0.288 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.289 * [approximate]: Taking taylor expansion of (pow (+ (pow N 2) (+ (* 1.0 N) 1)) 1/3) in (N) around 0 0.289 * [taylor]: Taking taylor expansion of (pow (+ (pow N 2) (+ (* 1.0 N) 1)) 1/3) in N 0.289 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow N 2) (+ (* 1.0 N) 1))))) in N 0.289 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.289 * [taylor]: Taking taylor expansion of 1/3 in N 0.289 * [taylor]: Taking taylor expansion of (log (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.289 * [taylor]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in N 0.289 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.289 * [taylor]: Taking taylor expansion of N in N 0.289 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 0.289 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.289 * [taylor]: Taking taylor expansion of 1.0 in N 0.289 * [taylor]: Taking taylor expansion of N in N 0.289 * [taylor]: Taking taylor expansion of 1 in N 0.289 * [taylor]: Taking taylor expansion of (pow (+ (pow N 2) (+ (* 1.0 N) 1)) 1/3) in N 0.289 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow N 2) (+ (* 1.0 N) 1))))) in N 0.289 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.289 * [taylor]: Taking taylor expansion of 1/3 in N 0.289 * [taylor]: Taking taylor expansion of (log (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.289 * [taylor]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in N 0.289 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.289 * [taylor]: Taking taylor expansion of N in N 0.289 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 0.289 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.289 * [taylor]: Taking taylor expansion of 1.0 in N 0.289 * [taylor]: Taking taylor expansion of N in N 0.289 * [taylor]: Taking taylor expansion of 1 in N 0.290 * [approximate]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) 1/3) in (N) around 0 0.290 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) 1/3) in N 0.290 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))) in N 0.290 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.290 * [taylor]: Taking taylor expansion of 1/3 in N 0.290 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.290 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in N 0.290 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.290 * [taylor]: Taking taylor expansion of 1.0 in N 0.290 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.290 * [taylor]: Taking taylor expansion of N in N 0.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.291 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.291 * [taylor]: Taking taylor expansion of N in N 0.291 * [taylor]: Taking taylor expansion of 1 in N 0.291 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) 1/3) in N 0.291 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))) in N 0.291 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.291 * [taylor]: Taking taylor expansion of 1/3 in N 0.291 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.291 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in N 0.291 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.291 * [taylor]: Taking taylor expansion of 1.0 in N 0.291 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.291 * [taylor]: Taking taylor expansion of N in N 0.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.291 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.291 * [taylor]: Taking taylor expansion of N in N 0.291 * [taylor]: Taking taylor expansion of 1 in N 0.293 * [approximate]: Taking taylor expansion of (pow (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) 1/3) in (N) around 0 0.293 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) 1/3) in N 0.293 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) in N 0.293 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.293 * [taylor]: Taking taylor expansion of 1/3 in N 0.293 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.293 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N 0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.293 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.293 * [taylor]: Taking taylor expansion of N in N 0.293 * [taylor]: Taking taylor expansion of 1 in N 0.293 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.293 * [taylor]: Taking taylor expansion of 1.0 in N 0.293 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.293 * [taylor]: Taking taylor expansion of N in N 0.293 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) 1/3) in N 0.293 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) in N 0.293 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.293 * [taylor]: Taking taylor expansion of 1/3 in N 0.293 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.293 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N 0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.293 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.293 * [taylor]: Taking taylor expansion of N in N 0.293 * [taylor]: Taking taylor expansion of 1 in N 0.293 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.293 * [taylor]: Taking taylor expansion of 1.0 in N 0.293 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.294 * [taylor]: Taking taylor expansion of N in N 0.295 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.295 * [approximate]: Taking taylor expansion of (pow (+ (pow N 2) (+ (* 1.0 N) 1)) 1/3) in (N) around 0 0.295 * [taylor]: Taking taylor expansion of (pow (+ (pow N 2) (+ (* 1.0 N) 1)) 1/3) in N 0.295 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow N 2) (+ (* 1.0 N) 1))))) in N 0.295 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.295 * [taylor]: Taking taylor expansion of 1/3 in N 0.295 * [taylor]: Taking taylor expansion of (log (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.295 * [taylor]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in N 0.295 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.295 * [taylor]: Taking taylor expansion of N in N 0.295 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 0.295 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.295 * [taylor]: Taking taylor expansion of 1.0 in N 0.296 * [taylor]: Taking taylor expansion of N in N 0.296 * [taylor]: Taking taylor expansion of 1 in N 0.296 * [taylor]: Taking taylor expansion of (pow (+ (pow N 2) (+ (* 1.0 N) 1)) 1/3) in N 0.296 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow N 2) (+ (* 1.0 N) 1))))) in N 0.296 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.296 * [taylor]: Taking taylor expansion of 1/3 in N 0.296 * [taylor]: Taking taylor expansion of (log (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.296 * [taylor]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in N 0.296 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.296 * [taylor]: Taking taylor expansion of N in N 0.296 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 0.296 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.296 * [taylor]: Taking taylor expansion of 1.0 in N 0.296 * [taylor]: Taking taylor expansion of N in N 0.296 * [taylor]: Taking taylor expansion of 1 in N 0.297 * [approximate]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) 1/3) in (N) around 0 0.297 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) 1/3) in N 0.297 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))) in N 0.297 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.297 * [taylor]: Taking taylor expansion of 1/3 in N 0.297 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.297 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in N 0.297 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.297 * [taylor]: Taking taylor expansion of 1.0 in N 0.297 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.297 * [taylor]: Taking taylor expansion of N in N 0.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.297 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.297 * [taylor]: Taking taylor expansion of N in N 0.297 * [taylor]: Taking taylor expansion of 1 in N 0.297 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) 1/3) in N 0.297 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))) in N 0.297 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.297 * [taylor]: Taking taylor expansion of 1/3 in N 0.297 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.297 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in N 0.297 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.297 * [taylor]: Taking taylor expansion of 1.0 in N 0.297 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.297 * [taylor]: Taking taylor expansion of N in N 0.298 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.298 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.298 * [taylor]: Taking taylor expansion of N in N 0.298 * [taylor]: Taking taylor expansion of 1 in N 0.299 * [approximate]: Taking taylor expansion of (pow (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) 1/3) in (N) around 0 0.299 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) 1/3) in N 0.299 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) in N 0.299 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.299 * [taylor]: Taking taylor expansion of 1/3 in N 0.299 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.299 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N 0.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.299 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.299 * [taylor]: Taking taylor expansion of N in N 0.300 * [taylor]: Taking taylor expansion of 1 in N 0.300 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.300 * [taylor]: Taking taylor expansion of 1.0 in N 0.300 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.300 * [taylor]: Taking taylor expansion of N in N 0.300 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) 1/3) in N 0.300 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) in N 0.300 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.300 * [taylor]: Taking taylor expansion of 1/3 in N 0.300 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.300 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N 0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.300 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.300 * [taylor]: Taking taylor expansion of N in N 0.300 * [taylor]: Taking taylor expansion of 1 in N 0.300 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.300 * [taylor]: Taking taylor expansion of 1.0 in N 0.300 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.300 * [taylor]: Taking taylor expansion of N in N 0.302 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 0.302 * [approximate]: Taking taylor expansion of (pow (+ (pow N 2) (+ (* 1.0 N) 1)) 1/3) in (N) around 0 0.302 * [taylor]: Taking taylor expansion of (pow (+ (pow N 2) (+ (* 1.0 N) 1)) 1/3) in N 0.302 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow N 2) (+ (* 1.0 N) 1))))) in N 0.302 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.302 * [taylor]: Taking taylor expansion of 1/3 in N 0.302 * [taylor]: Taking taylor expansion of (log (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.302 * [taylor]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in N 0.302 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.302 * [taylor]: Taking taylor expansion of N in N 0.302 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 0.302 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.302 * [taylor]: Taking taylor expansion of 1.0 in N 0.302 * [taylor]: Taking taylor expansion of N in N 0.302 * [taylor]: Taking taylor expansion of 1 in N 0.302 * [taylor]: Taking taylor expansion of (pow (+ (pow N 2) (+ (* 1.0 N) 1)) 1/3) in N 0.302 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow N 2) (+ (* 1.0 N) 1))))) in N 0.302 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.302 * [taylor]: Taking taylor expansion of 1/3 in N 0.302 * [taylor]: Taking taylor expansion of (log (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.302 * [taylor]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in N 0.302 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.302 * [taylor]: Taking taylor expansion of N in N 0.302 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 0.302 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.302 * [taylor]: Taking taylor expansion of 1.0 in N 0.302 * [taylor]: Taking taylor expansion of N in N 0.302 * [taylor]: Taking taylor expansion of 1 in N 0.303 * [approximate]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) 1/3) in (N) around 0 0.303 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) 1/3) in N 0.303 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))) in N 0.303 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.303 * [taylor]: Taking taylor expansion of 1/3 in N 0.303 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.303 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in N 0.304 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.304 * [taylor]: Taking taylor expansion of 1.0 in N 0.304 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.304 * [taylor]: Taking taylor expansion of N in N 0.304 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.304 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.304 * [taylor]: Taking taylor expansion of N in N 0.304 * [taylor]: Taking taylor expansion of 1 in N 0.304 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) 1/3) in N 0.304 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))) in N 0.304 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.304 * [taylor]: Taking taylor expansion of 1/3 in N 0.304 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.304 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in N 0.304 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.304 * [taylor]: Taking taylor expansion of 1.0 in N 0.304 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.304 * [taylor]: Taking taylor expansion of N in N 0.304 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.304 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.304 * [taylor]: Taking taylor expansion of N in N 0.304 * [taylor]: Taking taylor expansion of 1 in N 0.306 * [approximate]: Taking taylor expansion of (pow (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) 1/3) in (N) around 0 0.306 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) 1/3) in N 0.306 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) in N 0.306 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.306 * [taylor]: Taking taylor expansion of 1/3 in N 0.306 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.306 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N 0.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.306 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.306 * [taylor]: Taking taylor expansion of N in N 0.306 * [taylor]: Taking taylor expansion of 1 in N 0.306 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.306 * [taylor]: Taking taylor expansion of 1.0 in N 0.306 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.306 * [taylor]: Taking taylor expansion of N in N 0.306 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) 1/3) in N 0.306 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) in N 0.306 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.306 * [taylor]: Taking taylor expansion of 1/3 in N 0.306 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.306 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N 0.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.306 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.306 * [taylor]: Taking taylor expansion of N in N 0.307 * [taylor]: Taking taylor expansion of 1 in N 0.307 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.307 * [taylor]: Taking taylor expansion of 1.0 in N 0.307 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.307 * [taylor]: Taking taylor expansion of N in N 0.308 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.308 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.309 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.309 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.309 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.309 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.309 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.310 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.310 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.310 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.311 * * * [progress]: simplifying candidates 0.312 * [simplify]: Simplifying using # : (log (cbrt (+ 1 (* N (+ 1.0 N))))) (exp (cbrt (+ 1 (* N (+ 1.0 N))))) (cbrt (* (cbrt (+ 1 (* N (+ 1.0 N)))) (cbrt (+ 1 (* N (+ 1.0 N)))))) (cbrt (cbrt (+ 1 (* N (+ 1.0 N))))) (cbrt (sqrt (+ 1 (* N (+ 1.0 N))))) (cbrt (sqrt (+ 1 (* N (+ 1.0 N))))) (cbrt 1) (cbrt (+ 1 (* N (+ 1.0 N)))) (cbrt (+ (pow 1 3) (pow (* N (+ 1.0 N)) 3))) (cbrt (+ (* 1 1) (- (* (* N (+ 1.0 N)) (* N (+ 1.0 N))) (* 1 (* N (+ 1.0 N)))))) (cbrt (- (* 1 1) (* (* N (+ 1.0 N)) (* N (+ 1.0 N))))) (cbrt (- 1 (* N (+ 1.0 N)))) (* (cbrt (cbrt (+ 1 (* N (+ 1.0 N))))) (cbrt (cbrt (+ 1 (* N (+ 1.0 N)))))) (cbrt (cbrt (+ 1 (* N (+ 1.0 N))))) (* (* (cbrt (+ 1 (* N (+ 1.0 N)))) (cbrt (+ 1 (* N (+ 1.0 N))))) (cbrt (+ 1 (* N (+ 1.0 N))))) (sqrt (cbrt (+ 1 (* N (+ 1.0 N))))) (sqrt (cbrt (+ 1 (* N (+ 1.0 N))))) (log (cbrt (+ 1 (* N (+ 1.0 N))))) (exp (cbrt (+ 1 (* N (+ 1.0 N))))) (cbrt (* (cbrt (+ 1 (* N (+ 1.0 N)))) (cbrt (+ 1 (* N (+ 1.0 N)))))) (cbrt (cbrt (+ 1 (* N (+ 1.0 N))))) (cbrt (sqrt (+ 1 (* N (+ 1.0 N))))) (cbrt (sqrt (+ 1 (* N (+ 1.0 N))))) (cbrt 1) (cbrt (+ 1 (* N (+ 1.0 N)))) (cbrt (+ (pow 1 3) (pow (* N (+ 1.0 N)) 3))) (cbrt (+ (* 1 1) (- (* (* N (+ 1.0 N)) (* N (+ 1.0 N))) (* 1 (* N (+ 1.0 N)))))) (cbrt (- (* 1 1) (* (* N (+ 1.0 N)) (* N (+ 1.0 N))))) (cbrt (- 1 (* N (+ 1.0 N)))) (* (cbrt (cbrt (+ 1 (* N (+ 1.0 N))))) (cbrt (cbrt (+ 1 (* N (+ 1.0 N)))))) (cbrt (cbrt (+ 1 (* N (+ 1.0 N))))) (* (* (cbrt (+ 1 (* N (+ 1.0 N)))) (cbrt (+ 1 (* N (+ 1.0 N))))) (cbrt (+ 1 (* N (+ 1.0 N))))) (sqrt (cbrt (+ 1 (* N (+ 1.0 N))))) (sqrt (cbrt (+ 1 (* N (+ 1.0 N))))) (log (cbrt (+ 1 (* N (+ 1.0 N))))) (exp (cbrt (+ 1 (* N (+ 1.0 N))))) (cbrt (* (cbrt (+ 1 (* N (+ 1.0 N)))) (cbrt (+ 1 (* N (+ 1.0 N)))))) (cbrt (cbrt (+ 1 (* N (+ 1.0 N))))) (cbrt (sqrt (+ 1 (* N (+ 1.0 N))))) (cbrt (sqrt (+ 1 (* N (+ 1.0 N))))) (cbrt 1) (cbrt (+ 1 (* N (+ 1.0 N)))) (cbrt (+ (pow 1 3) (pow (* N (+ 1.0 N)) 3))) (cbrt (+ (* 1 1) (- (* (* N (+ 1.0 N)) (* N (+ 1.0 N))) (* 1 (* N (+ 1.0 N)))))) (cbrt (- (* 1 1) (* (* N (+ 1.0 N)) (* N (+ 1.0 N))))) (cbrt (- 1 (* N (+ 1.0 N)))) (* (cbrt (cbrt (+ 1 (* N (+ 1.0 N))))) (cbrt (cbrt (+ 1 (* N (+ 1.0 N)))))) (cbrt (cbrt (+ 1 (* N (+ 1.0 N))))) (* (* (cbrt (+ 1 (* N (+ 1.0 N)))) (cbrt (+ 1 (* N (+ 1.0 N))))) (cbrt (+ 1 (* N (+ 1.0 N))))) (sqrt (cbrt (+ 1 (* N (+ 1.0 N))))) (sqrt (cbrt (+ 1 (* N (+ 1.0 N))))) (log (atan2 1.0 (* (* (cbrt (+ 1 (* N (+ 1.0 N)))) (cbrt (+ 1 (* N (+ 1.0 N))))) (cbrt (+ 1 (* N (+ 1.0 N))))))) (exp (atan2 1.0 (* (* (cbrt (+ 1 (* N (+ 1.0 N)))) (cbrt (+ 1 (* N (+ 1.0 N))))) (cbrt (+ 1 (* N (+ 1.0 N))))))) (* (cbrt (atan2 1.0 (* (* (cbrt (+ 1 (* N (+ 1.0 N)))) (cbrt (+ 1 (* N (+ 1.0 N))))) (cbrt (+ 1 (* N (+ 1.0 N))))))) (cbrt (atan2 1.0 (* (* (cbrt (+ 1 (* N (+ 1.0 N)))) (cbrt (+ 1 (* N (+ 1.0 N))))) (cbrt (+ 1 (* N (+ 1.0 N)))))))) (cbrt (atan2 1.0 (* (* (cbrt (+ 1 (* N (+ 1.0 N)))) (cbrt (+ 1 (* N (+ 1.0 N))))) (cbrt (+ 1 (* N (+ 1.0 N))))))) (* (* (atan2 1.0 (* (* (cbrt (+ 1 (* N (+ 1.0 N)))) (cbrt (+ 1 (* N (+ 1.0 N))))) (cbrt (+ 1 (* N (+ 1.0 N)))))) (atan2 1.0 (* (* (cbrt (+ 1 (* N (+ 1.0 N)))) (cbrt (+ 1 (* N (+ 1.0 N))))) (cbrt (+ 1 (* N (+ 1.0 N))))))) (atan2 1.0 (* (* (cbrt (+ 1 (* N (+ 1.0 N)))) (cbrt (+ 1 (* N (+ 1.0 N))))) (cbrt (+ 1 (* N (+ 1.0 N))))))) (sqrt (atan2 1.0 (* (* (cbrt (+ 1 (* N (+ 1.0 N)))) (cbrt (+ 1 (* N (+ 1.0 N))))) (cbrt (+ 1 (* N (+ 1.0 N))))))) (sqrt (atan2 1.0 (* (* (cbrt (+ 1 (* N (+ 1.0 N)))) (cbrt (+ 1 (* N (+ 1.0 N))))) (cbrt (+ 1 (* N (+ 1.0 N))))))) (+ (* 0.2222222222222222 (pow N 2)) (+ (* 0.3333333333333333 N) (pow 1 1/3))) (+ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (+ (* 0.2222222222222222 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (pow N 2))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) N)))) (+ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 N)))))) (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 N)))))) N)) (* 0.2222222222222222 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 N)))))) (pow N 2))))) (+ (* 0.2222222222222222 (pow N 2)) (+ (* 0.3333333333333333 N) (pow 1 1/3))) (+ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (+ (* 0.2222222222222222 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (pow N 2))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) N)))) (+ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 N)))))) (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 N)))))) N)) (* 0.2222222222222222 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 N)))))) (pow N 2))))) (+ (* 0.2222222222222222 (pow N 2)) (+ (* 0.3333333333333333 N) (pow 1 1/3))) (+ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (+ (* 0.2222222222222222 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (pow N 2))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) N)))) (+ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 N)))))) (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 N)))))) N)) (* 0.2222222222222222 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 N)))))) (pow N 2))))) (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))) 0.360 * * [simplify]: iteration 0 : 5047 enodes (cost 745 ) 0.363 * [simplify]: Simplified to: (log (cbrt (+ 1 (* N (+ N 1.0))))) (exp (cbrt (+ 1 (* N (+ N 1.0))))) (cbrt (* (cbrt (+ 1 (* N (+ N 1.0)))) (cbrt (+ 1 (* N (+ N 1.0)))))) (cbrt (cbrt (+ 1 (* N (+ N 1.0))))) (cbrt (sqrt (+ 1 (* N (+ N 1.0))))) (cbrt (sqrt (+ 1 (* N (+ N 1.0))))) 1 (cbrt (+ 1 (* N (+ N 1.0)))) (cbrt (+ 1 (pow (* N (+ N 1.0)) 3))) (cbrt (+ 1 (* N (* (+ N 1.0) (+ (* N (+ N 1.0)) -1))))) (cbrt (- 1 (* N (* N (* (+ N 1.0) (+ N 1.0)))))) (cbrt (- 1 (* N (+ N 1.0)))) (* (cbrt (cbrt (+ 1 (* N (+ N 1.0))))) (cbrt (cbrt (+ 1 (* N (+ N 1.0)))))) (cbrt (cbrt (+ 1 (* N (+ N 1.0))))) (+ 1 (* N (+ N 1.0))) (sqrt (cbrt (+ 1 (* N (+ N 1.0))))) (sqrt (cbrt (+ 1 (* N (+ N 1.0))))) (log (cbrt (+ 1 (* N (+ N 1.0))))) (exp (cbrt (+ 1 (* N (+ N 1.0))))) (cbrt (* (cbrt (+ 1 (* N (+ N 1.0)))) (cbrt (+ 1 (* N (+ N 1.0)))))) (cbrt (cbrt (+ 1 (* N (+ N 1.0))))) (cbrt (sqrt (+ 1 (* N (+ N 1.0))))) (cbrt (sqrt (+ 1 (* N (+ N 1.0))))) 1 (cbrt (+ 1 (* N (+ N 1.0)))) (cbrt (+ 1 (pow (* N (+ N 1.0)) 3))) (cbrt (+ 1 (* N (* (+ N 1.0) (+ (* N (+ N 1.0)) -1))))) (cbrt (- 1 (* N (* N (* (+ N 1.0) (+ N 1.0)))))) (cbrt (- 1 (* N (+ N 1.0)))) (* (cbrt (cbrt (+ 1 (* N (+ N 1.0))))) (cbrt (cbrt (+ 1 (* N (+ N 1.0)))))) (cbrt (cbrt (+ 1 (* N (+ N 1.0))))) (+ 1 (* N (+ N 1.0))) (sqrt (cbrt (+ 1 (* N (+ N 1.0))))) (sqrt (cbrt (+ 1 (* N (+ N 1.0))))) (log (cbrt (+ 1 (* N (+ N 1.0))))) (exp (cbrt (+ 1 (* N (+ N 1.0))))) (cbrt (* (cbrt (+ 1 (* N (+ N 1.0)))) (cbrt (+ 1 (* N (+ N 1.0)))))) (cbrt (cbrt (+ 1 (* N (+ N 1.0))))) (cbrt (sqrt (+ 1 (* N (+ N 1.0))))) (cbrt (sqrt (+ 1 (* N (+ N 1.0))))) 1 (cbrt (+ 1 (* N (+ N 1.0)))) (cbrt (+ 1 (pow (* N (+ N 1.0)) 3))) (cbrt (+ 1 (* N (* (+ N 1.0) (+ (* N (+ N 1.0)) -1))))) (cbrt (- 1 (* N (* N (* (+ N 1.0) (+ N 1.0)))))) (cbrt (- 1 (* N (+ N 1.0)))) (* (cbrt (cbrt (+ 1 (* N (+ N 1.0))))) (cbrt (cbrt (+ 1 (* N (+ N 1.0)))))) (cbrt (cbrt (+ 1 (* N (+ N 1.0))))) (+ 1 (* N (+ N 1.0))) (sqrt (cbrt (+ 1 (* N (+ N 1.0))))) (sqrt (cbrt (+ 1 (* N (+ N 1.0))))) (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))))) (pow (atan2 1.0 (+ 1 (* N (+ N 1.0)))) 3) (sqrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (sqrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (+ 1 (* N (+ (* N 0.2222222222222222) 0.3333333333333333))) (+ (pow N 2/3) (* (/ (pow N 2/3) N) (+ (/ 0.2222222222222222 N) 0.3333333333333333))) (+ (pow N 2/3) (* (/ (pow N 2/3) N) (+ (/ 0.2222222222222222 N) 0.3333333333333333))) (+ 1 (* N (+ (* N 0.2222222222222222) 0.3333333333333333))) (+ (pow N 2/3) (* (/ (pow N 2/3) N) (+ (/ 0.2222222222222222 N) 0.3333333333333333))) (+ (pow N 2/3) (* (/ (pow N 2/3) N) (+ (/ 0.2222222222222222 N) 0.3333333333333333))) (+ 1 (* N (+ (* N 0.2222222222222222) 0.3333333333333333))) (+ (pow N 2/3) (* (/ (pow N 2/3) N) (+ (/ 0.2222222222222222 N) 0.3333333333333333))) (+ (pow N 2/3) (* (/ (pow N 2/3) N) (+ (/ 0.2222222222222222 N) 0.3333333333333333))) (atan2 1.0 (+ 1 (* N (+ N 1.0)))) (atan2 1.0 (+ 1 (* N (+ N 1.0)))) (atan2 1.0 (+ 1 (* N (+ N 1.0)))) 0.364 * * * [progress]: adding candidates to table 0.494 * * [progress]: iteration 4 / 4 0.494 * * * [progress]: picking best candidate 0.505 * * * * [pick]: Picked # 0.505 * * * [progress]: localizing error 0.513 * * * [progress]: generating rewritten candidates 0.513 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.515 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.516 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.522 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.524 * * * [progress]: generating series expansions 0.524 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.524 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0 0.524 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.524 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.525 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.525 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.526 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0 0.526 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.526 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.527 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.527 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.528 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0 0.528 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.528 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.529 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.529 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.530 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.530 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0 0.530 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.530 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.531 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.531 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.532 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0 0.532 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.532 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.533 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.533 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.534 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0 0.534 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.534 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.535 * [taylor]: Taking taylor expansion of (sqrt (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 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.536 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.536 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.536 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.537 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.537 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.537 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.538 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.538 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.538 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.538 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.538 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.539 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.539 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.539 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.539 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.539 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.540 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.540 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.540 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.540 * * * [progress]: simplifying candidates 0.542 * [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))) 0.583 * * [simplify]: iteration 0 : 5253 enodes (cost 989 ) 0.587 * [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)))) 0.587 * * * [progress]: adding candidates to table 0.698 * [progress]: [Phase 3 of 3] Extracting. 0.698 * * [regime]: Finding splitpoints for: (# # # # # #) 0.699 * * * [regime-changes]: Trying 2 branch expressions: ((- (atan (+ N 1.0)) (atan N)) N) 0.699 * * * * [regimes]: Trying to branch on (- (atan (+ N 1.0)) (atan N)) from (# # # # # #) 0.739 * * * * [regimes]: Trying to branch on N from (# # # # # #) 0.778 * * * [regime]: Found split indices: #