7.737 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.026 * * * [progress]: [2/2] Setting up program. 0.028 * [progress]: [Phase 2 of 3] Improving. 0.028 * [simplify]: Simplifying using # : (- (atan (+ N 1.0)) (atan N)) 0.031 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.032 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.033 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.033 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.033 * * [progress]: iteration 1 / 4 0.033 * * * [progress]: picking best candidate 0.035 * * * * [pick]: Picked # 0.035 * * * [progress]: localizing error 0.041 * * * [progress]: generating rewritten candidates 0.041 * * * * [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 0.048 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.048 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.048 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.049 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 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 0.049 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.052 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.052 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.052 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.052 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.052 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.052 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.052 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.056 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.056 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.056 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.056 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.056 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.056 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.056 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.056 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.056 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.056 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.057 * * * [progress]: simplifying candidates 0.057 * [simplify]: Simplifying using # : (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) 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)))) (- (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (- (atan N)) (- (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)) 0.060 * * [simplify]: iteration 0 : 52 enodes (cost 58 ) 0.062 * * [simplify]: iteration 1 : 106 enodes (cost 58 ) 0.065 * * [simplify]: iteration 2 : 194 enodes (cost 56 ) 0.068 * * [simplify]: iteration 3 : 370 enodes (cost 55 ) 0.077 * * [simplify]: iteration 4 : 1482 enodes (cost 55 ) 0.113 * * [simplify]: iteration 5 : 5002 enodes (cost 55 ) 0.114 * [simplify]: Simplified to: 1.0 (+ 1 (* (+ N 1.0) 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))) (- (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (- (atan N)) (- (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)) 0.114 * * * [progress]: adding candidates to table 0.125 * * [progress]: iteration 2 / 4 0.125 * * * [progress]: picking best candidate 0.126 * * * * [pick]: Picked # 0.127 * * * [progress]: localizing error 0.136 * * * [progress]: generating rewritten candidates 0.136 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.136 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 0.140 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.143 * * * [progress]: generating series expansions 0.143 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.143 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.143 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.143 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.144 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.144 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.144 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.145 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.145 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.145 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.146 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 0.146 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 0.146 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.146 * [taylor]: Taking taylor expansion of N in N 0.146 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.146 * [taylor]: Taking taylor expansion of N in N 0.146 * [taylor]: Taking taylor expansion of 1.0 in N 0.146 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.146 * [taylor]: Taking taylor expansion of N in N 0.146 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.146 * [taylor]: Taking taylor expansion of N in N 0.146 * [taylor]: Taking taylor expansion of 1.0 in N 0.156 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 0.156 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.156 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.156 * [taylor]: Taking taylor expansion of N in N 0.156 * [taylor]: Taking taylor expansion of 1.0 in N 0.156 * [taylor]: Taking taylor expansion of N in N 0.157 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.157 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.157 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.157 * [taylor]: Taking taylor expansion of N in N 0.157 * [taylor]: Taking taylor expansion of 1.0 in N 0.157 * [taylor]: Taking taylor expansion of N in N 0.168 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 0.168 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.168 * [taylor]: Taking taylor expansion of -1 in N 0.168 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) 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 0.169 * [taylor]: Taking taylor expansion of N in N 0.169 * [taylor]: Taking taylor expansion of N in N 0.170 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.170 * [taylor]: Taking taylor expansion of -1 in N 0.170 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.170 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.170 * [taylor]: Taking taylor expansion of 1.0 in N 0.170 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.170 * [taylor]: Taking taylor expansion of N in N 0.170 * [taylor]: Taking taylor expansion of N in N 0.189 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.190 * [approximate]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in (N) around 0 0.190 * [taylor]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in N 0.190 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.190 * [taylor]: Taking taylor expansion of N in N 0.190 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 0.190 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.190 * [taylor]: Taking taylor expansion of 1.0 in N 0.190 * [taylor]: Taking taylor expansion of N in N 0.190 * [taylor]: Taking taylor expansion of 1 in N 0.190 * [taylor]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in N 0.190 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.190 * [taylor]: Taking taylor expansion of N in N 0.190 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 0.190 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.190 * [taylor]: Taking taylor expansion of 1.0 in N 0.190 * [taylor]: Taking taylor expansion of N in N 0.190 * [taylor]: Taking taylor expansion of 1 in N 0.194 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in (N) around 0 0.194 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in N 0.194 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.194 * [taylor]: Taking taylor expansion of 1.0 in N 0.194 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.194 * [taylor]: Taking taylor expansion of N in N 0.194 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.194 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.194 * [taylor]: Taking taylor expansion of N in N 0.195 * [taylor]: Taking taylor expansion of 1 in N 0.195 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in N 0.195 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.195 * [taylor]: Taking taylor expansion of 1.0 in N 0.195 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.195 * [taylor]: Taking taylor expansion of N in N 0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.195 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.195 * [taylor]: Taking taylor expansion of N in N 0.196 * [taylor]: Taking taylor expansion of 1 in N 0.200 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in (N) around 0 0.201 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N 0.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.201 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.201 * [taylor]: Taking taylor expansion of N in N 0.201 * [taylor]: Taking taylor expansion of 1 in N 0.201 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.201 * [taylor]: Taking taylor expansion of 1.0 in N 0.201 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.201 * [taylor]: Taking taylor expansion of N in N 0.201 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N 0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.202 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.202 * [taylor]: Taking taylor expansion of N in N 0.202 * [taylor]: Taking taylor expansion of 1 in N 0.202 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.202 * [taylor]: Taking taylor expansion of 1.0 in N 0.202 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.202 * [taylor]: Taking taylor expansion of N in N 0.209 * * * [progress]: simplifying candidates 0.209 * [simplify]: Simplifying using # : (* (+ (pow N 3) (pow 1.0 3)) N) (* (- (* N N) (* 1.0 1.0)) N) (+ (pow 1 3) (pow (* (+ N 1.0) N) 3)) (+ (* 1 1) (- (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* 1 (* (+ N 1.0) N)))) (- (* 1 1) (* (* (+ N 1.0) N) (* (+ N 1.0) N))) (- 1 (* (+ N 1.0) 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)) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (+ (* 1.0 N) 1)) (+ (pow N 2) (+ (* 1.0 N) 1)) (+ (pow N 2) (+ (* 1.0 N) 1)) 0.212 * * [simplify]: iteration 0 : 86 enodes (cost 64 ) 0.215 * * [simplify]: iteration 1 : 349 enodes (cost 58 ) 0.225 * * [simplify]: iteration 2 : 1937 enodes (cost 58 ) 0.266 * * [simplify]: iteration 3 : 5003 enodes (cost 58 ) 0.267 * [simplify]: Simplified to: (* (+ (pow N 3) (pow 1.0 3)) N) (* (- (* N N) (* 1.0 1.0)) N) (+ 1 (pow (* (+ N 1.0) N) 3)) (+ (* (* (+ N 1.0) N) (- (* (+ N 1.0) N) 1)) 1) (- 1 (* (* (+ N 1.0) N) (* (+ N 1.0) N))) (- 1 (* (+ N 1.0) 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))) (* (+ N 1.0) N) (* (+ N 1.0) N) (* (+ N 1.0) N) (+ (* (+ N 1.0) N) 1) (+ (* (+ N 1.0) N) 1) (+ (* (+ N 1.0) N) 1) 0.267 * * * [progress]: adding candidates to table 0.287 * * [progress]: iteration 3 / 4 0.287 * * * [progress]: picking best candidate 0.289 * * * * [pick]: Picked # 0.289 * * * [progress]: localizing error 0.304 * * * [progress]: generating rewritten candidates 0.304 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.315 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.316 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 0.321 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2) 0.329 * * * [progress]: generating series expansions 0.329 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.330 * [approximate]: Taking taylor expansion of (/ (* N (+ (pow N 3) 1.0)) (- (+ (pow N 2) 1.0) (* 1.0 N))) in (N) around 0 0.330 * [taylor]: Taking taylor expansion of (/ (* N (+ (pow N 3) 1.0)) (- (+ (pow N 2) 1.0) (* 1.0 N))) in N 0.330 * [taylor]: Taking taylor expansion of (* N (+ (pow N 3) 1.0)) in N 0.330 * [taylor]: Taking taylor expansion of N in N 0.330 * [taylor]: Taking taylor expansion of (+ (pow N 3) 1.0) in N 0.330 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.330 * [taylor]: Taking taylor expansion of N in N 0.330 * [taylor]: Taking taylor expansion of 1.0 in N 0.330 * [taylor]: Taking taylor expansion of (- (+ (pow N 2) 1.0) (* 1.0 N)) in N 0.330 * [taylor]: Taking taylor expansion of (+ (pow N 2) 1.0) in N 0.330 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.330 * [taylor]: Taking taylor expansion of N in N 0.330 * [taylor]: Taking taylor expansion of 1.0 in N 0.330 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.330 * [taylor]: Taking taylor expansion of 1.0 in N 0.330 * [taylor]: Taking taylor expansion of N in N 0.333 * [taylor]: Taking taylor expansion of (/ (* N (+ (pow N 3) 1.0)) (- (+ (pow N 2) 1.0) (* 1.0 N))) in N 0.333 * [taylor]: Taking taylor expansion of (* N (+ (pow N 3) 1.0)) in N 0.333 * [taylor]: Taking taylor expansion of N in N 0.333 * [taylor]: Taking taylor expansion of (+ (pow N 3) 1.0) in N 0.333 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.333 * [taylor]: Taking taylor expansion of N in N 0.333 * [taylor]: Taking taylor expansion of 1.0 in N 0.333 * [taylor]: Taking taylor expansion of (- (+ (pow N 2) 1.0) (* 1.0 N)) in N 0.333 * [taylor]: Taking taylor expansion of (+ (pow N 2) 1.0) in N 0.333 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.333 * [taylor]: Taking taylor expansion of N in N 0.333 * [taylor]: Taking taylor expansion of 1.0 in N 0.333 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.333 * [taylor]: Taking taylor expansion of 1.0 in N 0.333 * [taylor]: Taking taylor expansion of N in N 0.380 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow N 3)) 1.0) (* (- (+ (/ 1 (pow N 2)) 1.0) (* 1.0 (/ 1 N))) N)) in (N) around 0 0.380 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow N 3)) 1.0) (* (- (+ (/ 1 (pow N 2)) 1.0) (* 1.0 (/ 1 N))) N)) in N 0.380 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 3)) 1.0) in N 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 0.380 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.380 * [taylor]: Taking taylor expansion of N in N 0.381 * [taylor]: Taking taylor expansion of 1.0 in N 0.381 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 (pow N 2)) 1.0) (* 1.0 (/ 1 N))) N) in N 0.381 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1.0) (* 1.0 (/ 1 N))) in N 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1.0) in N 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.381 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.381 * [taylor]: Taking taylor expansion of N in N 0.381 * [taylor]: Taking taylor expansion of 1.0 in N 0.381 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.381 * [taylor]: Taking taylor expansion of 1.0 in N 0.381 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.381 * [taylor]: Taking taylor expansion of N in N 0.382 * [taylor]: Taking taylor expansion of N in N 0.386 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow N 3)) 1.0) (* (- (+ (/ 1 (pow N 2)) 1.0) (* 1.0 (/ 1 N))) N)) in N 0.386 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 3)) 1.0) in N 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 0.386 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.386 * [taylor]: Taking taylor expansion of N in N 0.386 * [taylor]: Taking taylor expansion of 1.0 in N 0.386 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 (pow N 2)) 1.0) (* 1.0 (/ 1 N))) N) in N 0.386 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1.0) (* 1.0 (/ 1 N))) in N 0.386 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1.0) in N 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.387 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.387 * [taylor]: Taking taylor expansion of N in N 0.387 * [taylor]: Taking taylor expansion of 1.0 in N 0.387 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.387 * [taylor]: Taking taylor expansion of 1.0 in N 0.387 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.387 * [taylor]: Taking taylor expansion of N in N 0.387 * [taylor]: Taking taylor expansion of N in N 0.456 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (pow N 3))) (* N (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0))))) in (N) around 0 0.456 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (pow N 3))) (* N (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0))))) in N 0.456 * [taylor]: Taking taylor expansion of -1 in N 0.456 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow N 3))) (* N (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0)))) in N 0.456 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow N 3))) in N 0.456 * [taylor]: Taking taylor expansion of 1.0 in N 0.456 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 0.456 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.456 * [taylor]: Taking taylor expansion of N in N 0.457 * [taylor]: Taking taylor expansion of (* N (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0))) in N 0.457 * [taylor]: Taking taylor expansion of N in N 0.457 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0)) in N 0.457 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.457 * [taylor]: Taking taylor expansion of 1.0 in N 0.457 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.457 * [taylor]: Taking taylor expansion of N in N 0.457 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1.0) in N 0.457 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.457 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.457 * [taylor]: Taking taylor expansion of N in N 0.458 * [taylor]: Taking taylor expansion of 1.0 in N 0.461 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (pow N 3))) (* N (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0))))) in N 0.461 * [taylor]: Taking taylor expansion of -1 in N 0.461 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow N 3))) (* N (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0)))) in N 0.461 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow N 3))) in N 0.461 * [taylor]: Taking taylor expansion of 1.0 in N 0.461 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 0.461 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.461 * [taylor]: Taking taylor expansion of N in N 0.462 * [taylor]: Taking taylor expansion of (* N (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0))) in N 0.462 * [taylor]: Taking taylor expansion of N in N 0.462 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0)) in N 0.462 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.462 * [taylor]: Taking taylor expansion of 1.0 in N 0.462 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.462 * [taylor]: Taking taylor expansion of N in N 0.462 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1.0) in N 0.462 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.462 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.462 * [taylor]: Taking taylor expansion of N in N 0.463 * [taylor]: Taking taylor expansion of 1.0 in N 0.533 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.534 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (/ (pow N 4) (- (+ (pow N 2) 1.0) (* 1.0 N))) (+ (* 1.0 (/ N (- (+ (pow N 2) 1.0) (* 1.0 N)))) 1))) in (N) around 0 0.534 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ (pow N 4) (- (+ (pow N 2) 1.0) (* 1.0 N))) (+ (* 1.0 (/ N (- (+ (pow N 2) 1.0) (* 1.0 N)))) 1))) in N 0.534 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ (pow N 4) (- (+ (pow N 2) 1.0) (* 1.0 N))) (+ (* 1.0 (/ N (- (+ (pow N 2) 1.0) (* 1.0 N)))) 1))) in N 0.537 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (* (- (+ (/ 1 (pow N 2)) 1.0) (* 1.0 (/ 1 N))) (pow N 4))) (+ (* 1.0 (/ 1 (* (- (+ (/ 1 (pow N 2)) 1.0) (* 1.0 (/ 1 N))) N))) 1))) in (N) around 0 0.537 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (* (- (+ (/ 1 (pow N 2)) 1.0) (* 1.0 (/ 1 N))) (pow N 4))) (+ (* 1.0 (/ 1 (* (- (+ (/ 1 (pow N 2)) 1.0) (* 1.0 (/ 1 N))) N))) 1))) in N 0.537 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (* (- (+ (/ 1 (pow N 2)) 1.0) (* 1.0 (/ 1 N))) (pow N 4))) (+ (* 1.0 (/ 1 (* (- (+ (/ 1 (pow N 2)) 1.0) (* 1.0 (/ 1 N))) N))) 1))) in N 0.540 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (* (pow N 4) (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0)))) 1) (* 1.0 (/ 1 (* N (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0))))))) in (N) around 0 0.540 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (* (pow N 4) (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0)))) 1) (* 1.0 (/ 1 (* N (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0))))))) in N 0.540 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (* (pow N 4) (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0)))) 1) (* 1.0 (/ 1 (* N (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0))))))) in N 0.542 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 0.542 * [approximate]: Taking taylor expansion of (* N (+ (pow N 3) 1.0)) in (N) around 0 0.542 * [taylor]: Taking taylor expansion of (* N (+ (pow N 3) 1.0)) in N 0.542 * [taylor]: Taking taylor expansion of N in N 0.542 * [taylor]: Taking taylor expansion of (+ (pow N 3) 1.0) in N 0.542 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.542 * [taylor]: Taking taylor expansion of N in N 0.542 * [taylor]: Taking taylor expansion of 1.0 in N 0.542 * [taylor]: Taking taylor expansion of (* N (+ (pow N 3) 1.0)) in N 0.542 * [taylor]: Taking taylor expansion of N in N 0.543 * [taylor]: Taking taylor expansion of (+ (pow N 3) 1.0) in N 0.543 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.543 * [taylor]: Taking taylor expansion of N in N 0.543 * [taylor]: Taking taylor expansion of 1.0 in N 0.565 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow N 3)) 1.0) N) in (N) around 0 0.565 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow N 3)) 1.0) N) in N 0.565 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 3)) 1.0) in N 0.565 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 0.565 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.565 * [taylor]: Taking taylor expansion of N in N 0.566 * [taylor]: Taking taylor expansion of 1.0 in N 0.566 * [taylor]: Taking taylor expansion of N in N 0.566 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow N 3)) 1.0) N) in N 0.566 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 3)) 1.0) in N 0.566 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 0.566 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.566 * [taylor]: Taking taylor expansion of N in N 0.567 * [taylor]: Taking taylor expansion of 1.0 in N 0.567 * [taylor]: Taking taylor expansion of N in N 0.598 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (pow N 3))) N)) in (N) around 0 0.598 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (pow N 3))) N)) in N 0.598 * [taylor]: Taking taylor expansion of -1 in N 0.598 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow N 3))) N) in N 0.598 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow N 3))) in N 0.598 * [taylor]: Taking taylor expansion of 1.0 in N 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 0.599 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.599 * [taylor]: Taking taylor expansion of N in N 0.599 * [taylor]: Taking taylor expansion of N in N 0.600 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (pow N 3))) N)) in N 0.600 * [taylor]: Taking taylor expansion of -1 in N 0.600 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow N 3))) N) in N 0.600 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow N 3))) in N 0.600 * [taylor]: Taking taylor expansion of 1.0 in N 0.600 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 0.600 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.600 * [taylor]: Taking taylor expansion of N in N 0.601 * [taylor]: Taking taylor expansion of N in N 0.640 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2) 0.640 * [approximate]: Taking taylor expansion of (- (+ (pow N 2) 1.0) (* 1.0 N)) in (N) around 0 0.640 * [taylor]: Taking taylor expansion of (- (+ (pow N 2) 1.0) (* 1.0 N)) in N 0.640 * [taylor]: Taking taylor expansion of (+ (pow N 2) 1.0) in N 0.640 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.640 * [taylor]: Taking taylor expansion of N in N 0.640 * [taylor]: Taking taylor expansion of 1.0 in N 0.640 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.640 * [taylor]: Taking taylor expansion of 1.0 in N 0.640 * [taylor]: Taking taylor expansion of N in N 0.640 * [taylor]: Taking taylor expansion of (- (+ (pow N 2) 1.0) (* 1.0 N)) in N 0.640 * [taylor]: Taking taylor expansion of (+ (pow N 2) 1.0) in N 0.640 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.641 * [taylor]: Taking taylor expansion of N in N 0.641 * [taylor]: Taking taylor expansion of 1.0 in N 0.641 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.641 * [taylor]: Taking taylor expansion of 1.0 in N 0.641 * [taylor]: Taking taylor expansion of N in N 0.646 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1.0) (* 1.0 (/ 1 N))) in (N) around 0 0.646 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1.0) (* 1.0 (/ 1 N))) in N 0.646 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1.0) in N 0.646 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.646 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.646 * [taylor]: Taking taylor expansion of N in N 0.647 * [taylor]: Taking taylor expansion of 1.0 in N 0.647 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.647 * [taylor]: Taking taylor expansion of 1.0 in N 0.647 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.647 * [taylor]: Taking taylor expansion of N in N 0.647 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1.0) (* 1.0 (/ 1 N))) in N 0.647 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1.0) in N 0.647 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.647 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.647 * [taylor]: Taking taylor expansion of N in N 0.648 * [taylor]: Taking taylor expansion of 1.0 in N 0.648 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.648 * [taylor]: Taking taylor expansion of 1.0 in N 0.648 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.648 * [taylor]: Taking taylor expansion of N in N 0.655 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0)) in (N) around 0 0.655 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0)) in N 0.655 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.655 * [taylor]: Taking taylor expansion of 1.0 in N 0.655 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.655 * [taylor]: Taking taylor expansion of N in N 0.655 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1.0) in N 0.655 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.655 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.655 * [taylor]: Taking taylor expansion of N in N 0.656 * [taylor]: Taking taylor expansion of 1.0 in N 0.656 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0)) in N 0.656 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.656 * [taylor]: Taking taylor expansion of 1.0 in N 0.656 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.656 * [taylor]: Taking taylor expansion of N in N 0.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1.0) in N 0.656 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.656 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.656 * [taylor]: Taking taylor expansion of N in N 0.656 * [taylor]: Taking taylor expansion of 1.0 in N 0.661 * * * [progress]: simplifying candidates 0.662 * [simplify]: Simplifying using # : (- (* (+ (pow N 3) (pow 1.0 3)) N)) (- (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (/ 1 (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (/ (+ (* N N) (- (* 1.0 1.0) (* N 1.0))) (* (+ (pow N 3) (pow 1.0 3)) N)) (/ (+ (* N N) (- (* 1.0 1.0) (* N 1.0))) N) (/ (+ (* N N) (- (* 1.0 1.0) (* N 1.0))) (* (+ N 1.0) N)) (/ (+ (* N N) (- (* 1.0 1.0) (* N 1.0))) (+ (pow N 3) (pow 1.0 3))) (/ (* (+ (pow N 3) (pow 1.0 3)) N) (+ (pow (* N N) 3) (pow (- (* 1.0 1.0) (* N 1.0)) 3))) (/ (* (+ (pow N 3) (pow 1.0 3)) N) (- (* (* N N) (* N N)) (* (- (* 1.0 1.0) (* N 1.0)) (- (* 1.0 1.0) (* N 1.0))))) (* (+ (* N N) (- (* 1.0 1.0) (* N 1.0))) (+ (* (pow N 3) (pow N 3)) (- (* (pow 1.0 3) (pow 1.0 3)) (* (pow N 3) (pow 1.0 3))))) (* (+ (* N N) (- (* 1.0 1.0) (* N 1.0))) (- (pow N 3) (pow 1.0 3))) (* (+ N 1.0) N) (* (+ (pow (pow N 3) 3) (pow (pow 1.0 3) 3)) N) (* (- (* (pow N 3) (pow N 3)) (* (pow 1.0 3) (pow 1.0 3))) N) (+ (pow (* N N) 3) (pow (- (* 1.0 1.0) (* N 1.0)) 3)) (+ (* (* N N) (* N N)) (- (* (- (* 1.0 1.0) (* N 1.0)) (- (* 1.0 1.0) (* N 1.0))) (* (* N N) (- (* 1.0 1.0) (* N 1.0))))) (- (* (* N N) (* N N)) (* (- (* 1.0 1.0) (* N 1.0)) (- (* 1.0 1.0) (* N 1.0)))) (- (* N N) (- (* 1.0 1.0) (* N 1.0))) (+ (* N N) (* 1.0 1.0)) (+ (* N N) (* 1.0 1.0)) (+ (* N N) (* 1.0 1.0)) (+ (* 1.0 (pow N 2)) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) (atan2 1.0 (+ (/ (pow N 4) (- (+ (pow N 2) 1.0) (* 1.0 N))) (+ (* 1.0 (/ N (- (+ (pow N 2) 1.0) (* 1.0 N)))) 1))) (atan2 1.0 (+ (/ (pow N 4) (- (+ (pow N 2) 1.0) (* 1.0 N))) (+ (* 1.0 (/ N (- (+ (pow N 2) 1.0) (* 1.0 N)))) 1))) (atan2 1.0 (+ (/ (pow N 4) (- (+ (pow N 2) 1.0) (* 1.0 N))) (+ (* 1.0 (/ N (- (+ (pow N 2) 1.0) (* 1.0 N)))) 1))) (+ (* 1.0 N) (pow N 4)) (+ (* 1.0 N) (pow N 4)) (+ (* 1.0 N) (pow N 4)) (- (+ (pow N 2) 1.0) (* 1.0 N)) (- (+ (pow N 2) 1.0) (* 1.0 N)) (- (+ (pow N 2) 1.0) (* 1.0 N)) 0.666 * * [simplify]: iteration 0 : 184 enodes (cost 229 ) 0.670 * * [simplify]: iteration 1 : 673 enodes (cost 220 ) 0.685 * * [simplify]: iteration 2 : 3268 enodes (cost 213 ) 0.762 * * [simplify]: iteration 3 : 5002 enodes (cost 213 ) 0.764 * [simplify]: Simplified to: (- (* (+ (pow N 3) (pow 1.0 3)) N)) (- (+ (pow N 2) (* 1.0 (- 1.0 N)))) (/ 1 (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (/ (/ (+ (* 1.0 (- 1.0 N)) (pow N 2)) N) (+ (pow N 3) (pow 1.0 3))) (/ (+ (* 1.0 (- 1.0 N)) (pow N 2)) N) (/ (/ (+ (* 1.0 (- 1.0 N)) (pow N 2)) N) (+ N 1.0)) (/ (+ (* N N) (- (* 1.0 1.0) (* N 1.0))) (+ (pow N 3) (pow 1.0 3))) (/ (* (+ (pow N 3) (pow 1.0 3)) N) (+ (pow (* N N) 3) (pow (- (* 1.0 1.0) (* N 1.0)) 3))) (/ (* (+ (pow N 3) (pow 1.0 3)) N) (+ (* (* (- 1.0) (- 1.0 N)) (* 1.0 (- 1.0 N))) (pow N 4))) (* (- (+ (pow N 6) (pow 1.0 6)) (* (pow N 3) (pow 1.0 3))) (+ (* 1.0 (- 1.0 N)) (pow N 2))) (* (- (pow N 3) (pow 1.0 3)) (+ (* 1.0 (- 1.0 N)) (pow N 2))) (* (+ N 1.0) N) (* (+ (pow (pow N 3) 3) (pow (pow 1.0 3) 3)) N) (* N (+ (pow N 6) (- (pow 1.0 6)))) (+ (pow (* N N) 3) (pow (- (* 1.0 1.0) (* N 1.0)) 3)) (+ (* (* 1.0 (- 1.0 N)) (- (* 1.0 (- 1.0 N)) (pow N 2))) (* (* N N) (* N N))) (+ (* (* (- 1.0) (- 1.0 N)) (* 1.0 (- 1.0 N))) (pow N 4)) (- (pow N 2) (* 1.0 (- 1.0 N))) (+ (* N N) (* 1.0 1.0)) (+ (* N N) (* 1.0 1.0)) (+ (* N N) (* 1.0 1.0)) (* 1.0 (+ (pow N 2) N)) (* (+ N 1.0) N) (* (+ N 1.0) N) (atan2 1.0 (+ (/ (pow N 4) (- (+ (pow N 2) 1.0) (* 1.0 N))) (+ (* 1.0 (/ N (- (+ (pow N 2) 1.0) (* 1.0 N)))) 1))) (atan2 1.0 (+ (/ (pow N 4) (- (+ (pow N 2) 1.0) (* 1.0 N))) (+ (* 1.0 (/ N (- (+ (pow N 2) 1.0) (* 1.0 N)))) 1))) (atan2 1.0 (+ (/ (pow N 4) (- (+ (pow N 2) 1.0) (* 1.0 N))) (+ (* 1.0 (/ N (- (+ (pow N 2) 1.0) (* 1.0 N)))) 1))) (+ (* 1.0 N) (pow N 4)) (+ (* 1.0 N) (pow N 4)) (+ (* 1.0 N) (pow N 4)) (- 1.0 (* N (- 1.0 N))) (- 1.0 (* N (- 1.0 N))) (- 1.0 (* N (- 1.0 N))) 0.764 * * * [progress]: adding candidates to table 0.855 * * [progress]: iteration 4 / 4 0.855 * * * [progress]: picking best candidate 0.858 * * * * [pick]: Picked # 0.858 * * * [progress]: localizing error 0.875 * * * [progress]: generating rewritten candidates 0.875 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 1) 0.882 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2) 0.892 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.893 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 0.906 * * * [progress]: generating series expansions 0.906 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 1) 0.906 * [approximate]: Taking taylor expansion of (/ (- (+ (pow N 2) 1.0) (* 1.0 N)) N) in (N) around 0 0.906 * [taylor]: Taking taylor expansion of (/ (- (+ (pow N 2) 1.0) (* 1.0 N)) N) in N 0.906 * [taylor]: Taking taylor expansion of (- (+ (pow N 2) 1.0) (* 1.0 N)) in N 0.906 * [taylor]: Taking taylor expansion of (+ (pow N 2) 1.0) in N 0.906 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.906 * [taylor]: Taking taylor expansion of N in N 0.906 * [taylor]: Taking taylor expansion of 1.0 in N 0.906 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.906 * [taylor]: Taking taylor expansion of 1.0 in N 0.906 * [taylor]: Taking taylor expansion of N in N 0.906 * [taylor]: Taking taylor expansion of N in N 0.908 * [taylor]: Taking taylor expansion of (/ (- (+ (pow N 2) 1.0) (* 1.0 N)) N) in N 0.908 * [taylor]: Taking taylor expansion of (- (+ (pow N 2) 1.0) (* 1.0 N)) in N 0.908 * [taylor]: Taking taylor expansion of (+ (pow N 2) 1.0) in N 0.908 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.908 * [taylor]: Taking taylor expansion of N in N 0.908 * [taylor]: Taking taylor expansion of 1.0 in N 0.908 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.908 * [taylor]: Taking taylor expansion of 1.0 in N 0.908 * [taylor]: Taking taylor expansion of N in N 0.908 * [taylor]: Taking taylor expansion of N in N 0.919 * [approximate]: Taking taylor expansion of (* (- (+ (/ 1 (pow N 2)) 1.0) (* 1.0 (/ 1 N))) N) in (N) around 0 0.919 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 (pow N 2)) 1.0) (* 1.0 (/ 1 N))) N) in N 0.919 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1.0) (* 1.0 (/ 1 N))) in N 0.919 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1.0) in N 0.919 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.919 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.920 * [taylor]: Taking taylor expansion of N in N 0.920 * [taylor]: Taking taylor expansion of 1.0 in N 0.920 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.920 * [taylor]: Taking taylor expansion of 1.0 in N 0.920 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.920 * [taylor]: Taking taylor expansion of N in N 0.920 * [taylor]: Taking taylor expansion of N in N 0.920 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 (pow N 2)) 1.0) (* 1.0 (/ 1 N))) N) in N 0.920 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1.0) (* 1.0 (/ 1 N))) in N 0.920 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1.0) in N 0.920 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.921 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.921 * [taylor]: Taking taylor expansion of N in N 0.921 * [taylor]: Taking taylor expansion of 1.0 in N 0.921 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.921 * [taylor]: Taking taylor expansion of 1.0 in N 0.921 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.921 * [taylor]: Taking taylor expansion of N in N 0.921 * [taylor]: Taking taylor expansion of N in N 0.936 * [approximate]: Taking taylor expansion of (* -1 (* N (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0)))) in (N) around 0 0.936 * [taylor]: Taking taylor expansion of (* -1 (* N (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0)))) in N 0.936 * [taylor]: Taking taylor expansion of -1 in N 0.936 * [taylor]: Taking taylor expansion of (* N (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0))) in N 0.936 * [taylor]: Taking taylor expansion of N in N 0.936 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0)) in N 0.936 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.936 * [taylor]: Taking taylor expansion of 1.0 in N 0.936 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.936 * [taylor]: Taking taylor expansion of N in N 0.937 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1.0) in N 0.937 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.937 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.937 * [taylor]: Taking taylor expansion of N in N 0.937 * [taylor]: Taking taylor expansion of 1.0 in N 0.937 * [taylor]: Taking taylor expansion of (* -1 (* N (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0)))) in N 0.937 * [taylor]: Taking taylor expansion of -1 in N 0.937 * [taylor]: Taking taylor expansion of (* N (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0))) in N 0.937 * [taylor]: Taking taylor expansion of N in N 0.937 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0)) in N 0.937 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.937 * [taylor]: Taking taylor expansion of 1.0 in N 0.937 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.937 * [taylor]: Taking taylor expansion of N in N 0.938 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1.0) in N 0.938 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.938 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.938 * [taylor]: Taking taylor expansion of N in N 0.938 * [taylor]: Taking taylor expansion of 1.0 in N 0.956 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2) 0.956 * [approximate]: Taking taylor expansion of (/ (- (+ (pow N 2) 1.0) (* 1.0 N)) (* N (+ (pow N 3) 1.0))) in (N) around 0 0.956 * [taylor]: Taking taylor expansion of (/ (- (+ (pow N 2) 1.0) (* 1.0 N)) (* N (+ (pow N 3) 1.0))) in N 0.957 * [taylor]: Taking taylor expansion of (- (+ (pow N 2) 1.0) (* 1.0 N)) in N 0.957 * [taylor]: Taking taylor expansion of (+ (pow N 2) 1.0) in N 0.957 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.957 * [taylor]: Taking taylor expansion of N in N 0.957 * [taylor]: Taking taylor expansion of 1.0 in N 0.957 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.957 * [taylor]: Taking taylor expansion of 1.0 in N 0.957 * [taylor]: Taking taylor expansion of N in N 0.957 * [taylor]: Taking taylor expansion of (* N (+ (pow N 3) 1.0)) in N 0.957 * [taylor]: Taking taylor expansion of N in N 0.957 * [taylor]: Taking taylor expansion of (+ (pow N 3) 1.0) in N 0.957 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.957 * [taylor]: Taking taylor expansion of N in N 0.957 * [taylor]: Taking taylor expansion of 1.0 in N 0.960 * [taylor]: Taking taylor expansion of (/ (- (+ (pow N 2) 1.0) (* 1.0 N)) (* N (+ (pow N 3) 1.0))) in N 0.960 * [taylor]: Taking taylor expansion of (- (+ (pow N 2) 1.0) (* 1.0 N)) in N 0.960 * [taylor]: Taking taylor expansion of (+ (pow N 2) 1.0) in N 0.960 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.960 * [taylor]: Taking taylor expansion of N in N 0.960 * [taylor]: Taking taylor expansion of 1.0 in N 0.960 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.960 * [taylor]: Taking taylor expansion of 1.0 in N 0.960 * [taylor]: Taking taylor expansion of N in N 0.960 * [taylor]: Taking taylor expansion of (* N (+ (pow N 3) 1.0)) in N 0.960 * [taylor]: Taking taylor expansion of N in N 0.960 * [taylor]: Taking taylor expansion of (+ (pow N 3) 1.0) in N 0.960 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.960 * [taylor]: Taking taylor expansion of N in N 0.960 * [taylor]: Taking taylor expansion of 1.0 in N 0.973 * [approximate]: Taking taylor expansion of (/ (* (- (+ (/ 1 (pow N 2)) 1.0) (* 1.0 (/ 1 N))) N) (+ (/ 1 (pow N 3)) 1.0)) in (N) around 0 0.973 * [taylor]: Taking taylor expansion of (/ (* (- (+ (/ 1 (pow N 2)) 1.0) (* 1.0 (/ 1 N))) N) (+ (/ 1 (pow N 3)) 1.0)) in N 0.973 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 (pow N 2)) 1.0) (* 1.0 (/ 1 N))) N) in N 0.973 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1.0) (* 1.0 (/ 1 N))) in N 0.973 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1.0) in N 0.973 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.973 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.973 * [taylor]: Taking taylor expansion of N in N 0.974 * [taylor]: Taking taylor expansion of 1.0 in N 0.974 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.974 * [taylor]: Taking taylor expansion of 1.0 in N 0.974 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.974 * [taylor]: Taking taylor expansion of N in N 0.974 * [taylor]: Taking taylor expansion of N in N 0.974 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 3)) 1.0) in N 0.974 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 0.974 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.974 * [taylor]: Taking taylor expansion of N in N 0.975 * [taylor]: Taking taylor expansion of 1.0 in N 0.979 * [taylor]: Taking taylor expansion of (/ (* (- (+ (/ 1 (pow N 2)) 1.0) (* 1.0 (/ 1 N))) N) (+ (/ 1 (pow N 3)) 1.0)) in N 0.979 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 (pow N 2)) 1.0) (* 1.0 (/ 1 N))) N) in N 0.979 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1.0) (* 1.0 (/ 1 N))) in N 0.979 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1.0) in N 0.979 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.979 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.979 * [taylor]: Taking taylor expansion of N in N 0.980 * [taylor]: Taking taylor expansion of 1.0 in N 0.980 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.980 * [taylor]: Taking taylor expansion of 1.0 in N 0.980 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.980 * [taylor]: Taking taylor expansion of N in N 0.980 * [taylor]: Taking taylor expansion of N in N 0.980 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 3)) 1.0) in N 0.980 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 0.980 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.980 * [taylor]: Taking taylor expansion of N in N 0.981 * [taylor]: Taking taylor expansion of 1.0 in N 1.006 * [approximate]: Taking taylor expansion of (* -1 (/ (* N (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0))) (- 1.0 (/ 1 (pow N 3))))) in (N) around 0 1.007 * [taylor]: Taking taylor expansion of (* -1 (/ (* N (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0))) (- 1.0 (/ 1 (pow N 3))))) in N 1.007 * [taylor]: Taking taylor expansion of -1 in N 1.007 * [taylor]: Taking taylor expansion of (/ (* N (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0))) (- 1.0 (/ 1 (pow N 3)))) in N 1.007 * [taylor]: Taking taylor expansion of (* N (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0))) in N 1.007 * [taylor]: Taking taylor expansion of N in N 1.007 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0)) in N 1.007 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 1.007 * [taylor]: Taking taylor expansion of 1.0 in N 1.007 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.007 * [taylor]: Taking taylor expansion of N in N 1.007 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1.0) in N 1.007 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.007 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.007 * [taylor]: Taking taylor expansion of N in N 1.008 * [taylor]: Taking taylor expansion of 1.0 in N 1.008 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow N 3))) in N 1.008 * [taylor]: Taking taylor expansion of 1.0 in N 1.008 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 1.008 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.008 * [taylor]: Taking taylor expansion of N in N 1.012 * [taylor]: Taking taylor expansion of (* -1 (/ (* N (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0))) (- 1.0 (/ 1 (pow N 3))))) in N 1.012 * [taylor]: Taking taylor expansion of -1 in N 1.012 * [taylor]: Taking taylor expansion of (/ (* N (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0))) (- 1.0 (/ 1 (pow N 3)))) in N 1.012 * [taylor]: Taking taylor expansion of (* N (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0))) in N 1.012 * [taylor]: Taking taylor expansion of N in N 1.012 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0)) in N 1.012 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 1.012 * [taylor]: Taking taylor expansion of 1.0 in N 1.012 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.012 * [taylor]: Taking taylor expansion of N in N 1.012 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1.0) in N 1.013 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.013 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.013 * [taylor]: Taking taylor expansion of N in N 1.013 * [taylor]: Taking taylor expansion of 1.0 in N 1.013 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow N 3))) in N 1.013 * [taylor]: Taking taylor expansion of 1.0 in N 1.013 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 1.013 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.013 * [taylor]: Taking taylor expansion of N in N 1.036 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.037 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (/ (pow N 4) (- (+ (pow N 2) 1.0) (* 1.0 N))) (+ (* 1.0 (/ N (- (+ (pow N 2) 1.0) (* 1.0 N)))) 1))) in (N) around 0 1.037 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ (pow N 4) (- (+ (pow N 2) 1.0) (* 1.0 N))) (+ (* 1.0 (/ N (- (+ (pow N 2) 1.0) (* 1.0 N)))) 1))) in N 1.038 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ (pow N 4) (- (+ (pow N 2) 1.0) (* 1.0 N))) (+ (* 1.0 (/ N (- (+ (pow N 2) 1.0) (* 1.0 N)))) 1))) in N 1.040 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (* (- (+ (/ 1 (pow N 2)) 1.0) (* 1.0 (/ 1 N))) (pow N 4))) (+ (* 1.0 (/ 1 (* (- (+ (/ 1 (pow N 2)) 1.0) (* 1.0 (/ 1 N))) N))) 1))) in (N) around 0 1.040 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (* (- (+ (/ 1 (pow N 2)) 1.0) (* 1.0 (/ 1 N))) (pow N 4))) (+ (* 1.0 (/ 1 (* (- (+ (/ 1 (pow N 2)) 1.0) (* 1.0 (/ 1 N))) N))) 1))) in N 1.040 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (* (- (+ (/ 1 (pow N 2)) 1.0) (* 1.0 (/ 1 N))) (pow N 4))) (+ (* 1.0 (/ 1 (* (- (+ (/ 1 (pow N 2)) 1.0) (* 1.0 (/ 1 N))) N))) 1))) in N 1.043 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (* (pow N 4) (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0)))) 1) (* 1.0 (/ 1 (* N (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0))))))) in (N) around 0 1.043 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (* (pow N 4) (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0)))) 1) (* 1.0 (/ 1 (* N (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0))))))) in N 1.043 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (* (pow N 4) (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0)))) 1) (* 1.0 (/ 1 (* N (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0))))))) in N 1.045 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 1.045 * [approximate]: Taking taylor expansion of (/ (* N (+ (pow N 3) 1.0)) (- (+ (pow N 2) 1.0) (* 1.0 N))) in (N) around 0 1.045 * [taylor]: Taking taylor expansion of (/ (* N (+ (pow N 3) 1.0)) (- (+ (pow N 2) 1.0) (* 1.0 N))) in N 1.045 * [taylor]: Taking taylor expansion of (* N (+ (pow N 3) 1.0)) in N 1.045 * [taylor]: Taking taylor expansion of N in N 1.045 * [taylor]: Taking taylor expansion of (+ (pow N 3) 1.0) in N 1.045 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.045 * [taylor]: Taking taylor expansion of N in N 1.046 * [taylor]: Taking taylor expansion of 1.0 in N 1.046 * [taylor]: Taking taylor expansion of (- (+ (pow N 2) 1.0) (* 1.0 N)) in N 1.046 * [taylor]: Taking taylor expansion of (+ (pow N 2) 1.0) in N 1.046 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.046 * [taylor]: Taking taylor expansion of N in N 1.046 * [taylor]: Taking taylor expansion of 1.0 in N 1.046 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 1.046 * [taylor]: Taking taylor expansion of 1.0 in N 1.046 * [taylor]: Taking taylor expansion of N in N 1.049 * [taylor]: Taking taylor expansion of (/ (* N (+ (pow N 3) 1.0)) (- (+ (pow N 2) 1.0) (* 1.0 N))) in N 1.049 * [taylor]: Taking taylor expansion of (* N (+ (pow N 3) 1.0)) in N 1.049 * [taylor]: Taking taylor expansion of N in N 1.049 * [taylor]: Taking taylor expansion of (+ (pow N 3) 1.0) in N 1.049 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.049 * [taylor]: Taking taylor expansion of N in N 1.049 * [taylor]: Taking taylor expansion of 1.0 in N 1.049 * [taylor]: Taking taylor expansion of (- (+ (pow N 2) 1.0) (* 1.0 N)) in N 1.049 * [taylor]: Taking taylor expansion of (+ (pow N 2) 1.0) in N 1.049 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.049 * [taylor]: Taking taylor expansion of N in N 1.049 * [taylor]: Taking taylor expansion of 1.0 in N 1.049 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 1.049 * [taylor]: Taking taylor expansion of 1.0 in N 1.049 * [taylor]: Taking taylor expansion of N in N 1.095 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow N 3)) 1.0) (* (- (+ (/ 1 (pow N 2)) 1.0) (* 1.0 (/ 1 N))) N)) in (N) around 0 1.095 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow N 3)) 1.0) (* (- (+ (/ 1 (pow N 2)) 1.0) (* 1.0 (/ 1 N))) N)) in N 1.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 3)) 1.0) in N 1.095 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 1.095 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.096 * [taylor]: Taking taylor expansion of N in N 1.096 * [taylor]: Taking taylor expansion of 1.0 in N 1.096 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 (pow N 2)) 1.0) (* 1.0 (/ 1 N))) N) in N 1.096 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1.0) (* 1.0 (/ 1 N))) in N 1.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1.0) in N 1.096 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.096 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.096 * [taylor]: Taking taylor expansion of N in N 1.097 * [taylor]: Taking taylor expansion of 1.0 in N 1.097 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 1.097 * [taylor]: Taking taylor expansion of 1.0 in N 1.097 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.097 * [taylor]: Taking taylor expansion of N in N 1.097 * [taylor]: Taking taylor expansion of N in N 1.101 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow N 3)) 1.0) (* (- (+ (/ 1 (pow N 2)) 1.0) (* 1.0 (/ 1 N))) N)) in N 1.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 3)) 1.0) in N 1.101 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 1.101 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.101 * [taylor]: Taking taylor expansion of N in N 1.102 * [taylor]: Taking taylor expansion of 1.0 in N 1.102 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 (pow N 2)) 1.0) (* 1.0 (/ 1 N))) N) in N 1.102 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1.0) (* 1.0 (/ 1 N))) in N 1.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1.0) in N 1.102 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.102 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.102 * [taylor]: Taking taylor expansion of N in N 1.103 * [taylor]: Taking taylor expansion of 1.0 in N 1.103 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 1.103 * [taylor]: Taking taylor expansion of 1.0 in N 1.103 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.103 * [taylor]: Taking taylor expansion of N in N 1.103 * [taylor]: Taking taylor expansion of N in N 1.172 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (pow N 3))) (* N (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0))))) in (N) around 0 1.172 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (pow N 3))) (* N (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0))))) in N 1.172 * [taylor]: Taking taylor expansion of -1 in N 1.172 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow N 3))) (* N (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0)))) in N 1.172 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow N 3))) in N 1.172 * [taylor]: Taking taylor expansion of 1.0 in N 1.172 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 1.172 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.172 * [taylor]: Taking taylor expansion of N in N 1.173 * [taylor]: Taking taylor expansion of (* N (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0))) in N 1.173 * [taylor]: Taking taylor expansion of N in N 1.173 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0)) in N 1.173 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 1.173 * [taylor]: Taking taylor expansion of 1.0 in N 1.173 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.173 * [taylor]: Taking taylor expansion of N in N 1.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1.0) in N 1.174 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.174 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.174 * [taylor]: Taking taylor expansion of N in N 1.174 * [taylor]: Taking taylor expansion of 1.0 in N 1.178 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (pow N 3))) (* N (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0))))) in N 1.178 * [taylor]: Taking taylor expansion of -1 in N 1.178 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow N 3))) (* N (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0)))) in N 1.178 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow N 3))) in N 1.178 * [taylor]: Taking taylor expansion of 1.0 in N 1.178 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 1.178 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.178 * [taylor]: Taking taylor expansion of N in N 1.179 * [taylor]: Taking taylor expansion of (* N (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0))) in N 1.179 * [taylor]: Taking taylor expansion of N in N 1.179 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1.0)) in N 1.179 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 1.179 * [taylor]: Taking taylor expansion of 1.0 in N 1.179 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.179 * [taylor]: Taking taylor expansion of N in N 1.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1.0) in N 1.179 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.179 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.179 * [taylor]: Taking taylor expansion of N in N 1.180 * [taylor]: Taking taylor expansion of 1.0 in N 1.246 * * * [progress]: simplifying candidates 1.250 * [simplify]: Simplifying using # : (- (+ (* 1.0 (- 1.0 N)) (pow N 2))) (- N) (/ 1 N) (/ N (+ (* 1.0 (- 1.0 N)) (pow N 2))) (* N (+ (* (* 1.0 (- 1.0 N)) (* 1.0 (- 1.0 N))) (- (* (pow N 2) (pow N 2)) (* (* 1.0 (- 1.0 N)) (pow N 2))))) (* N (- (* 1.0 (- 1.0 N)) (pow N 2))) (- (/ (+ (* 1.0 (- 1.0 N)) (pow N 2)) N)) (- (+ (pow N 3) (pow 1.0 3))) (/ (+ (* 1.0 (- 1.0 N)) (pow N 2)) (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (/ (/ 1 N) (+ N 1.0)) (/ 1 (+ (pow N 3) (pow 1.0 3))) (/ (+ (pow N 3) (pow 1.0 3)) (/ (+ (* 1.0 (- 1.0 N)) (pow N 2)) N)) (/ (/ (+ (* 1.0 (- 1.0 N)) (pow N 2)) N) (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (/ (+ (pow N 3) (pow 1.0 3)) (/ 1 N)) (/ (/ (+ (* 1.0 (- 1.0 N)) (pow N 2)) N) (+ (pow (pow N 3) 3) (pow (pow 1.0 3) 3))) (/ (/ (+ (* 1.0 (- 1.0 N)) (pow N 2)) N) (- (* (pow N 3) (pow N 3)) (* (pow 1.0 3) (pow 1.0 3)))) (* (+ (pow N 3) (pow 1.0 3)) N) (* (+ (pow N 3) (pow 1.0 3)) (- N)) (* (+ (pow N 3) (pow 1.0 3)) (/ N (+ (* 1.0 (- 1.0 N)) (pow N 2)))) (* (+ (pow N 3) (pow 1.0 3)) (* N (+ (* (* 1.0 (- 1.0 N)) (* 1.0 (- 1.0 N))) (- (* (pow N 2) (pow N 2)) (* (* 1.0 (- 1.0 N)) (pow N 2)))))) (* (+ (pow N 3) (pow 1.0 3)) (* N (- (* 1.0 (- 1.0 N)) (pow N 2)))) (- 1) (- (/ (/ (+ (* 1.0 (- 1.0 N)) (pow N 2)) N) (+ (pow N 3) (pow 1.0 3)))) (/ 1 (/ (/ (+ (* 1.0 (- 1.0 N)) (pow N 2)) N) (+ (pow N 3) (pow 1.0 3)))) (/ (/ (/ (+ (* 1.0 (- 1.0 N)) (pow N 2)) N) (+ (pow N 3) (pow 1.0 3))) 1) (/ 1 (/ (+ (* 1.0 (- 1.0 N)) (pow N 2)) (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (/ 1 (/ (+ (* 1.0 (- 1.0 N)) (pow N 2)) N)) (/ 1 (/ (/ (+ (* 1.0 (- 1.0 N)) (pow N 2)) N) (+ (pow (pow N 3) 3) (pow (pow 1.0 3) 3)))) (/ 1 (/ (/ (+ (* 1.0 (- 1.0 N)) (pow N 2)) N) (- (* (pow N 3) (pow N 3)) (* (pow 1.0 3) (pow 1.0 3))))) (/ 1 (/ (+ (* 1.0 (- 1.0 N)) (pow N 2)) N)) (/ 1 (- (/ (+ (* 1.0 (- 1.0 N)) (pow N 2)) N))) (/ 1 1) (/ 1 (/ (/ (+ (* 1.0 (- 1.0 N)) (pow N 2)) N) (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (/ 1 (+ (* 1.0 (- 1.0 N)) (pow N 2))) (/ 1 (+ (* 1.0 (- 1.0 N)) (pow N 2))) (/ 1 (- (+ (* 1.0 (- 1.0 N)) (pow N 2)))) (/ 1 1) (/ 1 (+ (pow (* 1.0 (- 1.0 N)) 3) (pow (pow N 2) 3))) (/ 1 (- (* (* 1.0 (- 1.0 N)) (* 1.0 (- 1.0 N))) (* (pow N 2) (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) N) 1.0) (- (+ (* 1.0 (/ 1 N)) N) 1.0) (- (+ (* 1.0 (/ 1 N)) N) 1.0) (- (+ (* 1.0 (/ 1 N)) (* 1.0 N)) 1.0) (- (+ (/ 1 (pow N 2)) (* 1.0 (/ 1 (pow N 4)))) (* 1.0 (/ 1 (pow N 3)))) (- (+ (/ 1 (pow N 2)) (* 1.0 (/ 1 (pow N 4)))) (* 1.0 (/ 1 (pow N 3)))) (atan2 1.0 (+ (/ (pow N 4) (- (+ (pow N 2) 1.0) (* 1.0 N))) (+ (* 1.0 (/ N (- (+ (pow N 2) 1.0) (* 1.0 N)))) 1))) (atan2 1.0 (+ (/ (pow N 4) (- (+ (pow N 2) 1.0) (* 1.0 N))) (+ (* 1.0 (/ N (- (+ (pow N 2) 1.0) (* 1.0 N)))) 1))) (atan2 1.0 (+ (/ (pow N 4) (- (+ (pow N 2) 1.0) (* 1.0 N))) (+ (* 1.0 (/ N (- (+ (pow N 2) 1.0) (* 1.0 N)))) 1))) (+ (* 1.0 (pow N 2)) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) 1.255 * * [simplify]: iteration 0 : 251 enodes (cost 372 ) 1.261 * * [simplify]: iteration 1 : 1003 enodes (cost 328 ) 1.286 * * [simplify]: iteration 2 : 5001 enodes (cost 312 ) 1.288 * [simplify]: Simplified to: (- (+ (* 1.0 (- 1.0 N)) (pow N 2))) (- N) (/ 1 N) (/ N (+ (* 1.0 (- 1.0 N)) (pow N 2))) (* (- (+ (* (* 1.0 (- 1.0 N)) (* 1.0 (- 1.0 N))) (pow N 4)) (* (* 1.0 (- 1.0 N)) (pow N 2))) N) (* N (- (* 1.0 (- 1.0 N)) (pow N 2))) (- (/ (+ (* 1.0 (- 1.0 N)) (pow N 2)) N)) (- (+ (pow N 3) (pow 1.0 3))) 1 (/ (/ 1 N) (+ N 1.0)) (/ 1 (+ (pow N 3) (pow 1.0 3))) (* (+ (pow N 3) (pow 1.0 3)) (/ N (+ (* 1.0 (- 1.0 N)) (pow N 2)))) (/ 1 N) (* (+ (pow N 3) (pow 1.0 3)) N) (/ (/ (+ (* 1.0 (- 1.0 N)) (pow N 2)) N) (+ (pow (pow N 3) 3) (pow (pow 1.0 3) 3))) (/ (/ (+ (* 1.0 (- 1.0 N)) (pow N 2)) (+ (pow N 6) (- (pow 1.0 6)))) N) (* (+ (pow N 3) (pow 1.0 3)) N) (* (+ (pow N 3) (pow 1.0 3)) (- N)) (* (+ (pow N 3) (pow 1.0 3)) (/ N (+ (* 1.0 (- 1.0 N)) (pow N 2)))) (* (* (+ (pow N 3) (pow 1.0 3)) N) (- (+ (* (* 1.0 (- 1.0 N)) (* 1.0 (- 1.0 N))) (pow N 4)) (* (* 1.0 (- 1.0 N)) (pow N 2)))) (* (+ (pow N 3) (pow 1.0 3)) (* N (- (* 1.0 (- 1.0 N)) (pow N 2)))) (- 1) (- (/ (/ (+ (* 1.0 (- 1.0 N)) (pow N 2)) N) (+ (pow N 3) (pow 1.0 3)))) (* (+ (pow N 3) (pow 1.0 3)) (/ N (+ (* 1.0 (- 1.0 N)) (pow N 2)))) (/ (/ (+ (* 1.0 (- 1.0 N)) (pow N 2)) N) (+ (pow N 3) (pow 1.0 3))) 1 (/ N (+ (* 1.0 (- 1.0 N)) (pow N 2))) (/ 1 (/ (/ (+ (* 1.0 (- 1.0 N)) (pow N 2)) N) (+ (pow (pow N 3) 3) (pow (pow 1.0 3) 3)))) (* (/ N (+ (* 1.0 (- 1.0 N)) (pow N 2))) (+ (pow N 6) (- (pow 1.0 6)))) (/ N (+ (* 1.0 (- 1.0 N)) (pow N 2))) (/ 1 (- (/ (+ (* 1.0 (- 1.0 N)) (pow N 2)) N))) 1 N (/ 1 (+ (* 1.0 (- 1.0 N)) (pow N 2))) (/ 1 (+ (* 1.0 (- 1.0 N)) (pow N 2))) (/ 1 (- (+ (* 1.0 (- 1.0 N)) (pow N 2)))) 1 (/ 1 (+ (pow (* 1.0 (- 1.0 N)) 3) (pow (pow N 2) 3))) (* (/ 1/2 (- (* (* 1.0 (- 1.0 N)) (* 1.0 (- 1.0 N))) (pow N 4))) 2) (- (+ (* 1.0 (/ 1 N)) N) 1.0) (- (+ (* 1.0 (/ 1 N)) N) 1.0) (- (+ (* 1.0 (/ 1 N)) N) 1.0) (* 1.0 (- (+ (/ 1 N) N) 1)) (+ (* 1.0 (- (/ 1 (pow N 4)) (/ 1 (pow N 3)))) (/ 1 (pow N 2))) (+ (* 1.0 (- (/ 1 (pow N 4)) (/ 1 (pow N 3)))) (/ 1 (pow N 2))) (atan2 1.0 (+ (/ (pow N 4) (- (+ (pow N 2) 1.0) (* 1.0 N))) (+ (* 1.0 (/ N (- (+ (pow N 2) 1.0) (* 1.0 N)))) 1))) (atan2 1.0 (+ (/ (pow N 4) (- (+ (pow N 2) 1.0) (* 1.0 N))) (+ (* 1.0 (/ N (- (+ (pow N 2) 1.0) (* 1.0 N)))) 1))) (atan2 1.0 (+ (/ (pow N 4) (- (+ (pow N 2) 1.0) (* 1.0 N))) (+ (* 1.0 (/ N (- (+ (pow N 2) 1.0) (* 1.0 N)))) 1))) (* 1.0 (+ (pow N 2) N)) (* N (+ N 1.0)) (* N (+ N 1.0)) 1.289 * * * [progress]: adding candidates to table 1.435 * [progress]: [Phase 3 of 3] Extracting. 1.435 * * [regime]: Finding splitpoints for: (# # # #) 1.436 * * * [regime-changes]: Trying 2 branch expressions: ((- (atan (+ N 1.0)) (atan N)) N) 1.436 * * * * [regimes]: Trying to branch on (- (atan (+ N 1.0)) (atan N)) from (# # # #) 1.458 * * * * [regimes]: Trying to branch on N from (# # # #) 1.473 * * * [regime]: Found split indices: #