8.937 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.028 * * * [progress]: [2/2] Setting up program. 0.035 * [progress]: [Phase 2 of 3] Improving. 0.035 * [simplify]: Simplifying using # : (- (atan (+ N 1.0)) (atan N)) 0.038 * * [simplify]: iteration 0 : 10 enodes (cost 7 ) 0.038 * * [simplify]: iteration 1 : 10 enodes (cost 7 ) 0.038 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.038 * * [progress]: iteration 1 / 4 0.038 * * * [progress]: picking best candidate 0.041 * * * * [pick]: Picked # 0.041 * * * [progress]: localizing error 0.047 * * * [progress]: generating rewritten candidates 0.047 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.050 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.051 * * * [progress]: generating series expansions 0.051 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.051 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.051 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.051 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.051 * [taylor]: Taking taylor expansion of (atan N) in N 0.052 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.052 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.052 * [taylor]: Taking taylor expansion of (atan N) in N 0.052 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.052 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.052 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.052 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.052 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.052 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.052 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.053 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.053 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.053 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.053 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.053 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.053 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.053 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.053 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.053 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.053 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.053 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.054 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.054 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.054 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.054 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.054 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.054 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.054 * * * [progress]: simplifying candidates 0.055 * [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)) (neg (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)) 0.124 * * [simplify]: iteration 0 : 4929 enodes (cost 239 ) 0.124 * * [simplify]: iteration 1 : 4929 enodes (cost 239 ) 0.126 * [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)) (neg (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)) 0.126 * * * [progress]: adding candidates to table 0.158 * * [progress]: iteration 2 / 4 0.158 * * * [progress]: picking best candidate 0.163 * * * * [pick]: Picked # 0.163 * * * [progress]: localizing error 0.169 * * * [progress]: generating rewritten candidates 0.169 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.170 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.179 * * * [progress]: generating series expansions 0.179 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.179 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.179 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.179 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.179 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.179 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.180 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.180 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.180 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.180 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.181 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.181 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 0.181 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.181 * [taylor]: Taking taylor expansion of N in N 0.181 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.181 * [taylor]: Taking taylor expansion of N in N 0.181 * [taylor]: Taking taylor expansion of 1.0 in N 0.181 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.181 * [taylor]: Taking taylor expansion of N in N 0.181 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.181 * [taylor]: Taking taylor expansion of N in N 0.181 * [taylor]: Taking taylor expansion of 1.0 in N 0.182 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 0.182 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.182 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.182 * [taylor]: Taking taylor expansion of N in N 0.182 * [taylor]: Taking taylor expansion of 1.0 in N 0.182 * [taylor]: Taking taylor expansion of N in N 0.182 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.182 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.182 * [taylor]: Taking taylor expansion of N in N 0.182 * [taylor]: Taking taylor expansion of 1.0 in N 0.182 * [taylor]: Taking taylor expansion of N in N 0.183 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 0.183 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.183 * [taylor]: Taking taylor expansion of -1 in N 0.183 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.183 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.183 * [taylor]: Taking taylor expansion of 1.0 in N 0.183 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.183 * [taylor]: Taking taylor expansion of N in N 0.183 * [taylor]: Taking taylor expansion of N in N 0.184 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.184 * [taylor]: Taking taylor expansion of -1 in N 0.184 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.184 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.184 * [taylor]: Taking taylor expansion of 1.0 in N 0.184 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.184 * [taylor]: Taking taylor expansion of N in N 0.184 * [taylor]: Taking taylor expansion of N in N 0.185 * * * [progress]: simplifying candidates 0.186 * [simplify]: Simplifying using # : (log (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (exp (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (* (cbrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (cbrt (atan2 1.0 (+ 1 (* N (+ N 1.0)))))) (cbrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (* (* (atan2 1.0 (+ 1 (* N (+ N 1.0)))) (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (sqrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (sqrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (* N (+ N 1.0)) (+ (log N) (log (+ N 1.0))) (log (* N (+ N 1.0))) (exp (* N (+ N 1.0))) (* (* (* N N) N) (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0))) (* (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0)))) (cbrt (* N (+ N 1.0))) (* (* (* N (+ N 1.0)) (* N (+ N 1.0))) (* N (+ N 1.0))) (sqrt (* N (+ N 1.0))) (sqrt (* N (+ N 1.0))) (* (sqrt N) (sqrt (+ N 1.0))) (* (sqrt N) (sqrt (+ N 1.0))) (* N N) (* N 1.0) (* N N) (* 1.0 N) (* N (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* N (sqrt (+ N 1.0))) (* N 1) (* N 1) (* (cbrt N) (+ N 1.0)) (* (sqrt N) (+ N 1.0)) (* N (+ N 1.0)) (* N (+ (pow N 3) (pow 1.0 3))) (* N (- (* N N) (* 1.0 1.0))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) 0.244 * * [simplify]: iteration 0 : 4879 enodes (cost 272 ) 0.244 * * [simplify]: iteration 1 : 4879 enodes (cost 272 ) 0.246 * [simplify]: Simplified to: (log (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (exp (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (* (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (pow (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) 3) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (* N (+ 1.0 N)) (log (* N (+ 1.0 N))) (log (* N (+ 1.0 N))) (pow (exp N) (+ 1.0 N)) (pow (* N (+ 1.0 N)) 3) (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N))) (pow (* N (+ 1.0 N)) 3) (sqrt (* N (+ 1.0 N))) (sqrt (* N (+ 1.0 N))) (* (sqrt N) (sqrt (+ 1.0 N))) (* (sqrt N) (sqrt (+ 1.0 N))) (* N N) (* 1.0 N) (* N N) (* 1.0 N) (* N (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (* N (sqrt (+ 1.0 N))) N N (* (+ 1.0 N) (cbrt N)) (* (+ 1.0 N) (sqrt N)) (* N (+ 1.0 N)) (+ (pow N 4) (* N (pow 1.0 3))) (- (pow N 3) (* 1.0 (* 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)))) (* N (+ 1.0 N)) (* N (+ 1.0 N)) (* N (+ 1.0 N)) 0.246 * * * [progress]: adding candidates to table 0.295 * * [progress]: iteration 3 / 4 0.295 * * * [progress]: picking best candidate 0.311 * * * * [pick]: Picked # 0.311 * * * [progress]: localizing error 0.321 * * * [progress]: generating rewritten candidates 0.321 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 0.325 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 0.329 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 0.334 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 0.341 * * * [progress]: generating series expansions 0.341 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 0.342 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.342 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.342 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.342 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.342 * [taylor]: Taking taylor expansion of 1/3 in N 0.342 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.342 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.342 * [taylor]: Taking taylor expansion of N in N 0.342 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.342 * [taylor]: Taking taylor expansion of N in N 0.342 * [taylor]: Taking taylor expansion of 1.0 in N 0.342 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.342 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.342 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.342 * [taylor]: Taking taylor expansion of 1/3 in N 0.342 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.342 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.342 * [taylor]: Taking taylor expansion of N in N 0.342 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.342 * [taylor]: Taking taylor expansion of N in N 0.342 * [taylor]: Taking taylor expansion of 1.0 in N 0.344 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.344 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.344 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.344 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.344 * [taylor]: Taking taylor expansion of 1/3 in N 0.344 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.344 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.344 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.344 * [taylor]: Taking taylor expansion of N in N 0.344 * [taylor]: Taking taylor expansion of 1.0 in N 0.344 * [taylor]: Taking taylor expansion of N in N 0.345 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.345 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.345 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.345 * [taylor]: Taking taylor expansion of 1/3 in N 0.345 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.345 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.345 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.345 * [taylor]: Taking taylor expansion of N in N 0.345 * [taylor]: Taking taylor expansion of 1.0 in N 0.345 * [taylor]: Taking taylor expansion of N in N 0.347 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.347 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.347 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.347 * [taylor]: Taking taylor expansion of -1 in N 0.347 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.347 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.347 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.347 * [taylor]: Taking taylor expansion of 1/3 in N 0.347 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.347 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.347 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.347 * [taylor]: Taking taylor expansion of 1.0 in N 0.347 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.347 * [taylor]: Taking taylor expansion of N in N 0.347 * [taylor]: Taking taylor expansion of N in N 0.347 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.347 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.347 * [taylor]: Taking taylor expansion of -1 in N 0.347 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.347 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.347 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.347 * [taylor]: Taking taylor expansion of 1/3 in N 0.347 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.347 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.347 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.347 * [taylor]: Taking taylor expansion of 1.0 in N 0.347 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.347 * [taylor]: Taking taylor expansion of N in N 0.347 * [taylor]: Taking taylor expansion of N in N 0.351 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 0.351 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.351 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.351 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.351 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.351 * [taylor]: Taking taylor expansion of 1/3 in N 0.351 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.351 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.351 * [taylor]: Taking taylor expansion of N in N 0.351 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.351 * [taylor]: Taking taylor expansion of N in N 0.351 * [taylor]: Taking taylor expansion of 1.0 in N 0.351 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.351 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.351 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.351 * [taylor]: Taking taylor expansion of 1/3 in N 0.351 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.351 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.351 * [taylor]: Taking taylor expansion of N in N 0.351 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.351 * [taylor]: Taking taylor expansion of N in N 0.351 * [taylor]: Taking taylor expansion of 1.0 in N 0.353 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.353 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.353 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.353 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.353 * [taylor]: Taking taylor expansion of 1/3 in N 0.353 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.353 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.353 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.353 * [taylor]: Taking taylor expansion of N in N 0.353 * [taylor]: Taking taylor expansion of 1.0 in N 0.353 * [taylor]: Taking taylor expansion of N in N 0.353 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.353 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.353 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.353 * [taylor]: Taking taylor expansion of 1/3 in N 0.353 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.353 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.353 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.353 * [taylor]: Taking taylor expansion of N in N 0.354 * [taylor]: Taking taylor expansion of 1.0 in N 0.354 * [taylor]: Taking taylor expansion of N in N 0.355 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.355 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.356 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.356 * [taylor]: Taking taylor expansion of -1 in N 0.356 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.356 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.356 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.356 * [taylor]: Taking taylor expansion of 1/3 in N 0.356 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.356 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.356 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.356 * [taylor]: Taking taylor expansion of 1.0 in N 0.356 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.356 * [taylor]: Taking taylor expansion of N in N 0.356 * [taylor]: Taking taylor expansion of N in N 0.356 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.356 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.356 * [taylor]: Taking taylor expansion of -1 in N 0.356 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.356 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.356 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.356 * [taylor]: Taking taylor expansion of 1/3 in N 0.356 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.356 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.356 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.356 * [taylor]: Taking taylor expansion of 1.0 in N 0.356 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.356 * [taylor]: Taking taylor expansion of N in N 0.356 * [taylor]: Taking taylor expansion of N in N 0.359 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 0.360 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.360 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.360 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.360 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.360 * [taylor]: Taking taylor expansion of 1/3 in N 0.360 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.360 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.360 * [taylor]: Taking taylor expansion of N in N 0.360 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.360 * [taylor]: Taking taylor expansion of N in N 0.360 * [taylor]: Taking taylor expansion of 1.0 in N 0.360 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.360 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.360 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.360 * [taylor]: Taking taylor expansion of 1/3 in N 0.360 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.360 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.360 * [taylor]: Taking taylor expansion of N in N 0.360 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.360 * [taylor]: Taking taylor expansion of N in N 0.360 * [taylor]: Taking taylor expansion of 1.0 in N 0.362 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.362 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.362 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.362 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.362 * [taylor]: Taking taylor expansion of 1/3 in N 0.362 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.362 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.362 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.362 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.362 * [taylor]: Taking taylor expansion of N in N 0.362 * [taylor]: Taking taylor expansion of 1.0 in N 0.362 * [taylor]: Taking taylor expansion of N in N 0.362 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.362 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.362 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.362 * [taylor]: Taking taylor expansion of 1/3 in N 0.362 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.362 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.362 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.362 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.362 * [taylor]: Taking taylor expansion of N in N 0.362 * [taylor]: Taking taylor expansion of 1.0 in N 0.362 * [taylor]: Taking taylor expansion of N in N 0.366 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.367 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.367 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.367 * [taylor]: Taking taylor expansion of -1 in N 0.367 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.367 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.367 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.367 * [taylor]: Taking taylor expansion of 1/3 in N 0.367 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.367 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.367 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.367 * [taylor]: Taking taylor expansion of 1.0 in N 0.367 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.367 * [taylor]: Taking taylor expansion of N in N 0.367 * [taylor]: Taking taylor expansion of N in N 0.367 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.367 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.367 * [taylor]: Taking taylor expansion of -1 in N 0.367 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.367 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.367 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.367 * [taylor]: Taking taylor expansion of 1/3 in N 0.367 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.367 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.367 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.367 * [taylor]: Taking taylor expansion of 1.0 in N 0.367 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.367 * [taylor]: Taking taylor expansion of N in N 0.367 * [taylor]: Taking taylor expansion of N in N 0.371 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 0.371 * [approximate]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in (N) around 0 0.371 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N 0.371 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N 0.371 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N 0.371 * [taylor]: Taking taylor expansion of 1/3 in N 0.371 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N 0.371 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N 0.371 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.371 * [taylor]: Taking taylor expansion of N in N 0.371 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 0.371 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.371 * [taylor]: Taking taylor expansion of N in N 0.371 * [taylor]: Taking taylor expansion of 1.0 in N 0.371 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N 0.371 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N 0.371 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N 0.371 * [taylor]: Taking taylor expansion of 1/3 in N 0.371 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N 0.371 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N 0.371 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.371 * [taylor]: Taking taylor expansion of N in N 0.371 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 0.371 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.371 * [taylor]: Taking taylor expansion of N in N 0.371 * [taylor]: Taking taylor expansion of 1.0 in N 0.373 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in (N) around 0 0.373 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 0.373 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 0.373 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 0.374 * [taylor]: Taking taylor expansion of 1/3 in N 0.374 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 0.374 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 0.374 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.374 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.374 * [taylor]: Taking taylor expansion of N in N 0.374 * [taylor]: Taking taylor expansion of 1.0 in N 0.374 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.374 * [taylor]: Taking taylor expansion of N in N 0.374 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 0.374 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 0.374 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 0.374 * [taylor]: Taking taylor expansion of 1/3 in N 0.374 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 0.374 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 0.374 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.374 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.374 * [taylor]: Taking taylor expansion of N in N 0.374 * [taylor]: Taking taylor expansion of 1.0 in N 0.374 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.374 * [taylor]: Taking taylor expansion of N in N 0.376 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in (N) around 0 0.376 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in N 0.376 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 0.376 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.376 * [taylor]: Taking taylor expansion of -1 in N 0.376 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 0.376 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 0.376 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 0.376 * [taylor]: Taking taylor expansion of 1/3 in N 0.376 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 0.376 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 0.376 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 0.376 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.376 * [taylor]: Taking taylor expansion of 1.0 in N 0.376 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.376 * [taylor]: Taking taylor expansion of N in N 0.377 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.377 * [taylor]: Taking taylor expansion of N in N 0.377 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in N 0.377 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 0.377 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.377 * [taylor]: Taking taylor expansion of -1 in N 0.377 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 0.377 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 0.377 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 0.377 * [taylor]: Taking taylor expansion of 1/3 in N 0.377 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 0.377 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 0.377 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 0.377 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.377 * [taylor]: Taking taylor expansion of 1.0 in N 0.377 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.377 * [taylor]: Taking taylor expansion of N in N 0.377 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.377 * [taylor]: Taking taylor expansion of N in N 0.382 * * * [progress]: simplifying candidates 0.383 * [simplify]: Simplifying using # : (log (cbrt (* N (+ 1.0 N)))) (exp (cbrt (* N (+ 1.0 N)))) (cbrt N) (cbrt (+ 1.0 N)) (cbrt (* N (+ (pow 1.0 3) (pow N 3)))) (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (cbrt (* N (- (* 1.0 1.0) (* N N)))) (cbrt (- 1.0 N)) (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N))))) (cbrt (cbrt (* N (+ 1.0 N)))) (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N)))) (log (cbrt (* N (+ 1.0 N)))) (exp (cbrt (* N (+ 1.0 N)))) (cbrt N) (cbrt (+ 1.0 N)) (cbrt (* N (+ (pow 1.0 3) (pow N 3)))) (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (cbrt (* N (- (* 1.0 1.0) (* N N)))) (cbrt (- 1.0 N)) (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N))))) (cbrt (cbrt (* N (+ 1.0 N)))) (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N)))) (log (cbrt (* N (+ 1.0 N)))) (exp (cbrt (* N (+ 1.0 N)))) (cbrt N) (cbrt (+ 1.0 N)) (cbrt (* N (+ (pow 1.0 3) (pow N 3)))) (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (cbrt (* N (- (* 1.0 1.0) (* N N)))) (cbrt (- 1.0 N)) (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N))))) (cbrt (cbrt (* N (+ 1.0 N)))) (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N)))) (+ 1/3 1/3) (+ 1 1) (* (* N (+ 1.0 N)) (* N (+ 1.0 N))) (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (+ 1 1) (+ (log (cbrt (* N (+ 1.0 N)))) (log (cbrt (* N (+ 1.0 N))))) (log (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))) (exp (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))) (* (* N (+ 1.0 N)) (* N (+ 1.0 N))) (* (cbrt (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))) (cbrt (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))))) (cbrt (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))) (* (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))) (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))) (sqrt (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))) (sqrt (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))) (* (cbrt (* N (+ (pow 1.0 3) (pow N 3)))) (cbrt (* N (+ (pow 1.0 3) (pow N 3))))) (* (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N))))) (* (cbrt (* N (+ (pow 1.0 3) (pow N 3)))) (cbrt (* N (- (* 1.0 1.0) (* N N))))) (* (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (cbrt (- 1.0 N))) (* (cbrt (* N (- (* 1.0 1.0) (* N N)))) (cbrt (* N (+ (pow 1.0 3) (pow N 3))))) (* (cbrt (- 1.0 N)) (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N))))) (* (cbrt (* N (- (* 1.0 1.0) (* N N)))) (cbrt (* N (- (* 1.0 1.0) (* N N))))) (* (cbrt (- 1.0 N)) (cbrt (- 1.0 N))) (* (cbrt N) (cbrt N)) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N))))) (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N)))))) (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N))))) (* (sqrt (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N))))) (* (sqrt (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N))))) (* 1 1) (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (* (sqrt (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N))))) (* (sqrt (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N))))) (* 2 1/3) (* 2 1) (* (cbrt (* N (+ 1.0 N))) (cbrt N)) (* (cbrt (* N (+ 1.0 N))) (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N)))))) (* (cbrt (* N (+ 1.0 N))) (sqrt (cbrt (* N (+ 1.0 N))))) (* (cbrt (* N (+ 1.0 N))) 1) (* (cbrt (+ 1.0 N)) (cbrt (* N (+ 1.0 N)))) (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N)))) (* (sqrt (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N)))) (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ (pow 1.0 3) (pow N 3))))) (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (- (* 1.0 1.0) (* N N))))) (* (cbrt (* N (+ (pow 1.0 3) (pow N 3)))) (cbrt (* N (+ 1.0 N)))) (* (cbrt (* N (- (* 1.0 1.0) (* N N)))) (cbrt (* N (+ 1.0 N)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (pow N 2)))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (pow N 2)))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (pow N 2)))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (* 0.6666666666666666 (* N (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (+ (* 0.5555555555555556 (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (* 0.6666666666666666 (/ (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) (pow 1.0 2)))) (- (+ (* 0.6666666666666666 (/ (exp (* 1/3 (- (log 1) (* 4 (log (/ 1 N)))))) N)) (exp (* 1/3 (- (log 1) (* 4 (log (/ 1 N))))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 4 (log (/ 1 N)))))) (pow N 2)))) (- (+ (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log 1) (* 4 (log (/ -1 N))))))) (* 0.6666666666666666 (/ (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log 1) (* 4 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log 1) (* 4 (log (/ -1 N))))))) (pow N 2)))) 0.424 * * [simplify]: iteration 0 : 4940 enodes (cost 1019 ) 0.424 * * [simplify]: iteration 1 : 4940 enodes (cost 1019 ) 0.428 * [simplify]: Simplified to: (log (cbrt (* N (+ N 1.0)))) (exp (cbrt (* N (+ N 1.0)))) (cbrt N) (cbrt (+ N 1.0)) (cbrt (+ (* N (pow 1.0 3)) (pow N 4))) (cbrt (+ (* 1.0 1.0) (* N (- N 1.0)))) (cbrt (* N (- (* 1.0 1.0) (* N N)))) (cbrt (- 1.0 N)) (pow (cbrt (cbrt (* N (+ N 1.0)))) 2) (cbrt (cbrt (* N (+ N 1.0)))) (* N (+ N 1.0)) (sqrt (cbrt (* N (+ N 1.0)))) (sqrt (cbrt (* N (+ N 1.0)))) (log (cbrt (* N (+ N 1.0)))) (exp (cbrt (* N (+ N 1.0)))) (cbrt N) (cbrt (+ N 1.0)) (cbrt (+ (* N (pow 1.0 3)) (pow N 4))) (cbrt (+ (* 1.0 1.0) (* N (- N 1.0)))) (cbrt (* N (- (* 1.0 1.0) (* N N)))) (cbrt (- 1.0 N)) (pow (cbrt (cbrt (* N (+ N 1.0)))) 2) (cbrt (cbrt (* N (+ N 1.0)))) (* N (+ N 1.0)) (sqrt (cbrt (* N (+ N 1.0)))) (sqrt (cbrt (* N (+ N 1.0)))) (log (cbrt (* N (+ N 1.0)))) (exp (cbrt (* N (+ N 1.0)))) (cbrt N) (cbrt (+ N 1.0)) (cbrt (+ (* N (pow 1.0 3)) (pow N 4))) (cbrt (+ (* 1.0 1.0) (* N (- N 1.0)))) (cbrt (* N (- (* 1.0 1.0) (* N N)))) (cbrt (- 1.0 N)) (pow (cbrt (cbrt (* N (+ N 1.0)))) 2) (cbrt (cbrt (* N (+ N 1.0)))) (* N (+ N 1.0)) (sqrt (cbrt (* N (+ N 1.0)))) (sqrt (cbrt (* N (+ N 1.0)))) 2/3 2 (pow (cbrt (* N (+ N 1.0))) 6) (pow (cbrt (* N (+ N 1.0))) 2) 2 (* (log (cbrt (* N (+ N 1.0)))) 2) (* (log (cbrt (* N (+ N 1.0)))) 2) (exp (pow (cbrt (* N (+ N 1.0))) 2)) (pow (cbrt (* N (+ N 1.0))) 6) (* (cbrt (pow (cbrt (* N (+ N 1.0))) 2)) (cbrt (pow (cbrt (* N (+ N 1.0))) 2))) (cbrt (pow (cbrt (* N (+ N 1.0))) 2)) (pow (cbrt (* N (+ N 1.0))) 6) (fabs (cbrt (* N (+ N 1.0)))) (fabs (cbrt (* N (+ N 1.0)))) (* (cbrt (+ (* N (pow 1.0 3)) (pow N 4))) (cbrt (+ (* N (pow 1.0 3)) (pow N 4)))) (* (cbrt (+ (* 1.0 1.0) (* N (- N 1.0)))) (cbrt (+ (* 1.0 1.0) (* N (- N 1.0))))) (* (cbrt (+ (* N (pow 1.0 3)) (pow N 4))) (cbrt (* N (- (* 1.0 1.0) (* N N))))) (* (cbrt (+ (* 1.0 1.0) (* N (- N 1.0)))) (cbrt (- 1.0 N))) (* (cbrt (+ (* N (pow 1.0 3)) (pow N 4))) (cbrt (* N (- (* 1.0 1.0) (* N N))))) (* (cbrt (+ (* 1.0 1.0) (* N (- N 1.0)))) (cbrt (- 1.0 N))) (* (cbrt (* N (- (* 1.0 1.0) (* N N)))) (cbrt (* N (- (* 1.0 1.0) (* N N))))) (* (cbrt (- 1.0 N)) (cbrt (- 1.0 N))) (pow N 2/3) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (pow (cbrt (cbrt (* N (+ N 1.0)))) 4) (pow (cbrt (cbrt (* N (+ N 1.0)))) 2) (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0))) 1 (pow (cbrt (* N (+ N 1.0))) 2) (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0))) 2/3 2 (* (cbrt (* N (+ N 1.0))) (cbrt N)) (pow (cbrt (cbrt (* N (+ N 1.0)))) 5) (pow (sqrt (cbrt (* N (+ N 1.0)))) 3) (cbrt (* N (+ N 1.0))) (* (cbrt (* N (+ N 1.0))) (cbrt (+ N 1.0))) (pow (cbrt (cbrt (* N (+ N 1.0)))) 4) (pow (sqrt (cbrt (* N (+ N 1.0)))) 3) (pow (cbrt (* N (+ N 1.0))) 2) (* (cbrt (* N (+ N 1.0))) (cbrt (+ (* N (pow 1.0 3)) (pow N 4)))) (* (cbrt (* N (+ N 1.0))) (cbrt (* N (- (* 1.0 1.0) (* N N))))) (* (cbrt (* N (+ N 1.0))) (cbrt (+ (* N (pow 1.0 3)) (pow N 4)))) (* (cbrt (* N (+ N 1.0))) (cbrt (* N (- (* 1.0 1.0) (* N N))))) (+ (cbrt (* N 1.0)) (+ (* (cbrt (* N 1.0)) (+ (* N (* N 0.05555555555555555)) (* N 0.3333333333333333))) (* (* (* N N) (/ (cbrt (* N 1.0)) (* 1.0 1.0))) -1/6))) (+ (pow N 2/3) (* (/ (pow N 2/3) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (* (cbrt -1) (* (pow N 2/3) (cbrt -1))) (* (* (* (pow N 2/3) (cbrt -1)) (/ (cbrt -1) N)) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (cbrt (* N 1.0)) (+ (* (cbrt (* N 1.0)) (+ (* N (* N 0.05555555555555555)) (* N 0.3333333333333333))) (* (* (* N N) (/ (cbrt (* N 1.0)) (* 1.0 1.0))) -1/6))) (+ (pow N 2/3) (* (/ (pow N 2/3) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (* (cbrt -1) (* (pow N 2/3) (cbrt -1))) (* (* (* (pow N 2/3) (cbrt -1)) (/ (cbrt -1) N)) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (cbrt (* N 1.0)) (+ (* (cbrt (* N 1.0)) (+ (* N (* N 0.05555555555555555)) (* N 0.3333333333333333))) (* (* (* N N) (/ (cbrt (* N 1.0)) (* 1.0 1.0))) -1/6))) (+ (pow N 2/3) (* (/ (pow N 2/3) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (* (cbrt -1) (* (pow N 2/3) (cbrt -1))) (* (* (* (pow N 2/3) (cbrt -1)) (/ (cbrt -1) N)) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (- (* (* (pow N 2/3) (cbrt 1.0)) (+ (* N 0.6666666666666666) (+ 1 (* N (* N 0.5555555555555556))))) (* 0.6666666666666666 (* (/ N 1.0) (/ (* (cbrt 1.0) (pow N 5/3)) 1.0)))) (+ (pow N 4/3) (* (/ (pow N 4/3) N) (- 0.6666666666666666 (/ 0.1111111111111111 N)))) (+ (* (pow N 4/3) (pow (cbrt -1) 2)) (* (* (pow N 4/3) (/ (pow (cbrt -1) 2) N)) (- 0.6666666666666666 (/ 0.1111111111111111 N)))) 0.429 * * * [progress]: adding candidates to table 0.612 * * [progress]: iteration 4 / 4 0.612 * * * [progress]: picking best candidate 0.625 * * * * [pick]: Picked # 0.626 * * * [progress]: localizing error 0.639 * * * [progress]: generating rewritten candidates 0.639 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 2 2) 0.642 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 1) 0.645 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2) 0.647 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2) 0.659 * * * [progress]: generating series expansions 0.659 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 2 2) 0.659 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 0.659 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.659 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.659 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.660 * [taylor]: Taking taylor expansion of 1/3 in N 0.660 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.660 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.660 * [taylor]: Taking taylor expansion of N in N 0.660 * [taylor]: Taking taylor expansion of 1.0 in N 0.660 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.660 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.660 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.660 * [taylor]: Taking taylor expansion of 1/3 in N 0.660 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.660 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.660 * [taylor]: Taking taylor expansion of N in N 0.660 * [taylor]: Taking taylor expansion of 1.0 in N 0.661 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 0.661 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.661 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.661 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.661 * [taylor]: Taking taylor expansion of 1/3 in N 0.661 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.661 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.661 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.661 * [taylor]: Taking taylor expansion of N in N 0.661 * [taylor]: Taking taylor expansion of 1.0 in N 0.662 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.662 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.662 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.662 * [taylor]: Taking taylor expansion of 1/3 in N 0.662 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.662 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.662 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.662 * [taylor]: Taking taylor expansion of N in N 0.662 * [taylor]: Taking taylor expansion of 1.0 in N 0.663 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 0.663 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.663 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.663 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.663 * [taylor]: Taking taylor expansion of 1/3 in N 0.663 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.663 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.663 * [taylor]: Taking taylor expansion of 1.0 in N 0.663 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.663 * [taylor]: Taking taylor expansion of N in N 0.664 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.664 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.664 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.664 * [taylor]: Taking taylor expansion of 1/3 in N 0.664 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.664 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.664 * [taylor]: Taking taylor expansion of 1.0 in N 0.664 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.664 * [taylor]: Taking taylor expansion of N in N 0.665 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 1) 0.665 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 0.665 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.665 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.665 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.665 * [taylor]: Taking taylor expansion of 1/3 in N 0.665 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.665 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.665 * [taylor]: Taking taylor expansion of N in N 0.665 * [taylor]: Taking taylor expansion of 1.0 in N 0.666 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.666 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.666 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.666 * [taylor]: Taking taylor expansion of 1/3 in N 0.666 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.666 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.666 * [taylor]: Taking taylor expansion of N in N 0.666 * [taylor]: Taking taylor expansion of 1.0 in N 0.667 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 0.667 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.667 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.667 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.667 * [taylor]: Taking taylor expansion of 1/3 in N 0.667 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.667 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.667 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.667 * [taylor]: Taking taylor expansion of N in N 0.667 * [taylor]: Taking taylor expansion of 1.0 in N 0.667 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.667 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.667 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.667 * [taylor]: Taking taylor expansion of 1/3 in N 0.667 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.668 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.668 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.668 * [taylor]: Taking taylor expansion of N in N 0.668 * [taylor]: Taking taylor expansion of 1.0 in N 0.669 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 0.669 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.669 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.669 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.669 * [taylor]: Taking taylor expansion of 1/3 in N 0.669 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.669 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.669 * [taylor]: Taking taylor expansion of 1.0 in N 0.669 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.669 * [taylor]: Taking taylor expansion of N in N 0.669 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.669 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.669 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.669 * [taylor]: Taking taylor expansion of 1/3 in N 0.669 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.669 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.669 * [taylor]: Taking taylor expansion of 1.0 in N 0.669 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.670 * [taylor]: Taking taylor expansion of N in N 0.671 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2) 0.671 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 0.671 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.671 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.671 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.671 * [taylor]: Taking taylor expansion of 1/3 in N 0.671 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.671 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.671 * [taylor]: Taking taylor expansion of N in N 0.671 * [taylor]: Taking taylor expansion of 1.0 in N 0.671 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.671 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.671 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.671 * [taylor]: Taking taylor expansion of 1/3 in N 0.671 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.671 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.671 * [taylor]: Taking taylor expansion of N in N 0.671 * [taylor]: Taking taylor expansion of 1.0 in N 0.673 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 0.673 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.673 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.673 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.673 * [taylor]: Taking taylor expansion of 1/3 in N 0.673 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.673 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.673 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.673 * [taylor]: Taking taylor expansion of N in N 0.673 * [taylor]: Taking taylor expansion of 1.0 in N 0.673 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.673 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.673 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.673 * [taylor]: Taking taylor expansion of 1/3 in N 0.673 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.673 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.673 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.673 * [taylor]: Taking taylor expansion of N in N 0.673 * [taylor]: Taking taylor expansion of 1.0 in N 0.675 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 0.675 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.675 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.675 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.675 * [taylor]: Taking taylor expansion of 1/3 in N 0.675 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.675 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.675 * [taylor]: Taking taylor expansion of 1.0 in N 0.675 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.675 * [taylor]: Taking taylor expansion of N in N 0.675 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.675 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.675 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.675 * [taylor]: Taking taylor expansion of 1/3 in N 0.675 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.675 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.675 * [taylor]: Taking taylor expansion of 1.0 in N 0.675 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.675 * [taylor]: Taking taylor expansion of N in N 0.677 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2) 0.677 * [approximate]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in (N) around 0 0.677 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in N 0.677 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1.0) 2)))) in N 0.677 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1.0) 2))) in N 0.677 * [taylor]: Taking taylor expansion of 1/3 in N 0.677 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 2)) in N 0.677 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 0.677 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.677 * [taylor]: Taking taylor expansion of N in N 0.677 * [taylor]: Taking taylor expansion of 1.0 in N 0.677 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in N 0.677 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1.0) 2)))) in N 0.677 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1.0) 2))) in N 0.677 * [taylor]: Taking taylor expansion of 1/3 in N 0.677 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 2)) in N 0.677 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 0.677 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.677 * [taylor]: Taking taylor expansion of N in N 0.677 * [taylor]: Taking taylor expansion of 1.0 in N 0.679 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in (N) around 0 0.679 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in N 0.679 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2)))) in N 0.679 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2))) in N 0.679 * [taylor]: Taking taylor expansion of 1/3 in N 0.679 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 2)) in N 0.679 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 0.679 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.679 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.679 * [taylor]: Taking taylor expansion of N in N 0.679 * [taylor]: Taking taylor expansion of 1.0 in N 0.679 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in N 0.679 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2)))) in N 0.679 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2))) in N 0.679 * [taylor]: Taking taylor expansion of 1/3 in N 0.679 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 2)) in N 0.679 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 0.679 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.679 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.679 * [taylor]: Taking taylor expansion of N in N 0.679 * [taylor]: Taking taylor expansion of 1.0 in N 0.681 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in (N) around 0 0.681 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in N 0.681 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2)))) in N 0.681 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2))) in N 0.681 * [taylor]: Taking taylor expansion of 1/3 in N 0.681 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 2)) in N 0.681 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 0.681 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.681 * [taylor]: Taking taylor expansion of 1.0 in N 0.681 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.681 * [taylor]: Taking taylor expansion of N in N 0.681 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in N 0.681 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2)))) in N 0.681 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2))) in N 0.681 * [taylor]: Taking taylor expansion of 1/3 in N 0.681 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 2)) in N 0.682 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 0.682 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.682 * [taylor]: Taking taylor expansion of 1.0 in N 0.682 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.682 * [taylor]: Taking taylor expansion of N in N 0.683 * * * [progress]: simplifying candidates 0.685 * [simplify]: Simplifying using # : (log (cbrt (+ 1.0 N))) (exp (cbrt (+ 1.0 N))) (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (cbrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) (cbrt 1) (cbrt (+ 1.0 N)) (cbrt 1) (cbrt (+ 1.0 N)) (cbrt (+ (pow 1.0 3) (pow N 3))) (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (cbrt (- (* 1.0 1.0) (* N N))) (cbrt (- 1.0 N)) (* (cbrt (cbrt (+ 1.0 N))) (cbrt (cbrt (+ 1.0 N)))) (cbrt (cbrt (+ 1.0 N))) (* (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (cbrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N))) (log (cbrt (+ 1.0 N))) (exp (cbrt (+ 1.0 N))) (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (cbrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) (cbrt 1) (cbrt (+ 1.0 N)) (cbrt 1) (cbrt (+ 1.0 N)) (cbrt (+ (pow 1.0 3) (pow N 3))) (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (cbrt (- (* 1.0 1.0) (* N N))) (cbrt (- 1.0 N)) (* (cbrt (cbrt (+ 1.0 N))) (cbrt (cbrt (+ 1.0 N)))) (cbrt (cbrt (+ 1.0 N))) (* (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (cbrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (+ 1/3 1/3) (+ 1 1) (* (+ 1.0 N) (+ 1.0 N)) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (+ 1 1) (+ (log (cbrt (+ 1.0 N))) (log (cbrt (+ 1.0 N)))) (log (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (exp (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (* (+ 1.0 N) (+ 1.0 N)) (* (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))))) (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (* (* (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (sqrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (sqrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (* (cbrt (+ (pow 1.0 3) (pow N 3))) (cbrt (+ (pow 1.0 3) (pow N 3)))) (* (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N))))) (* (cbrt (+ (pow 1.0 3) (pow N 3))) (cbrt (- (* 1.0 1.0) (* N N)))) (* (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (cbrt (- 1.0 N))) (* (cbrt (- (* 1.0 1.0) (* N N))) (cbrt (+ (pow 1.0 3) (pow N 3)))) (* (cbrt (- 1.0 N)) (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N))))) (* (cbrt (- (* 1.0 1.0) (* N N))) (cbrt (- (* 1.0 1.0) (* N N)))) (* (cbrt (- 1.0 N)) (cbrt (- 1.0 N))) (* (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))))) (* (cbrt (cbrt (+ 1.0 N))) (cbrt (cbrt (+ 1.0 N)))) (* (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N)))) (* (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (* (cbrt (cbrt (+ 1.0 N))) (cbrt (cbrt (+ 1.0 N)))) (* (cbrt (cbrt (+ 1.0 N))) (cbrt (cbrt (+ 1.0 N))))) (* (cbrt (cbrt (+ 1.0 N))) (cbrt (cbrt (+ 1.0 N)))) (* (sqrt (cbrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N)))) (* (sqrt (cbrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N)))) (* 1 1) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N)))) (* (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N)))) (* (cbrt (sqrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N)))) (* (cbrt (sqrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N)))) (* (sqrt (cbrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N)))) (* (sqrt (cbrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N)))) (* (sqrt (cbrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N)))) (* (sqrt (cbrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N)))) (* 2 1/3) (* 2 1) (* (cbrt (+ 1.0 N)) (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))))) (* (cbrt (+ 1.0 N)) (cbrt (sqrt (+ 1.0 N)))) (* (cbrt (+ 1.0 N)) (cbrt 1)) (* (cbrt (+ 1.0 N)) (cbrt 1)) (* (cbrt (+ 1.0 N)) (* (cbrt (cbrt (+ 1.0 N))) (cbrt (cbrt (+ 1.0 N))))) (* (cbrt (+ 1.0 N)) (sqrt (cbrt (+ 1.0 N)))) (* (cbrt (+ 1.0 N)) 1) (* (cbrt (cbrt (+ 1.0 N))) (cbrt (+ 1.0 N))) (* (cbrt (sqrt (+ 1.0 N))) (cbrt (+ 1.0 N))) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt (cbrt (+ 1.0 N))) (cbrt (+ 1.0 N))) (* (sqrt (cbrt (+ 1.0 N))) (cbrt (+ 1.0 N))) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt (+ 1.0 N)) (cbrt (+ (pow 1.0 3) (pow N 3)))) (* (cbrt (+ 1.0 N)) (cbrt (- (* 1.0 1.0) (* N N)))) (* (cbrt (+ (pow 1.0 3) (pow N 3))) (cbrt (+ 1.0 N))) (* (cbrt (- (* 1.0 1.0) (* N N))) (cbrt (+ 1.0 N))) (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (pow N 2)))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N)))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N))))) (pow N 2)))) (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (pow N 2)))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N)))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N))))) (pow N 2)))) (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (pow N 2)))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N)))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N))))) (pow N 2)))) (- (+ (pow 1.0 1/3) (+ (* 0.6666666666666666 (* N (pow 1.0 1/3))) (* 0.5555555555555556 (* (pow N 2) (pow 1.0 1/3))))) (* 0.6666666666666666 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (* 0.6666666666666666 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (pow N 2)))) (- (+ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 N)))))) (* 0.6666666666666666 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 N)))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 N)))))) (pow N 2)))) 0.737 * * [simplify]: iteration 0 : 5711 enodes (cost 1033 ) 0.742 * [simplify]: Simplified to: (log (cbrt (+ 1.0 N))) (exp (cbrt (+ 1.0 N))) (cbrt (pow (cbrt (+ 1.0 N)) 2)) (cbrt (cbrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) 1 (cbrt (+ 1.0 N)) 1 (cbrt (+ 1.0 N)) (cbrt (+ (pow 1.0 3) (pow N 3))) (cbrt (+ (* 1.0 1.0) (* N (- N 1.0)))) (cbrt (- (* 1.0 1.0) (* N N))) (cbrt (- 1.0 N)) (pow (cbrt (cbrt (+ 1.0 N))) 2) (cbrt (cbrt (+ 1.0 N))) (+ 1.0 N) (sqrt (cbrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N))) (log (cbrt (+ 1.0 N))) (exp (cbrt (+ 1.0 N))) (cbrt (pow (cbrt (+ 1.0 N)) 2)) (cbrt (cbrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) 1 (cbrt (+ 1.0 N)) 1 (cbrt (+ 1.0 N)) (cbrt (+ (pow 1.0 3) (pow N 3))) (cbrt (+ (* 1.0 1.0) (* N (- N 1.0)))) (cbrt (- (* 1.0 1.0) (* N N))) (cbrt (- 1.0 N)) (pow (cbrt (cbrt (+ 1.0 N))) 2) (cbrt (cbrt (+ 1.0 N))) (+ 1.0 N) (sqrt (cbrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N))) (log (cbrt (+ 1.0 N))) (exp (cbrt (+ 1.0 N))) (cbrt (pow (cbrt (+ 1.0 N)) 2)) (cbrt (cbrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) 1 (cbrt (+ 1.0 N)) 1 (cbrt (+ 1.0 N)) (cbrt (+ (pow 1.0 3) (pow N 3))) (cbrt (+ (* 1.0 1.0) (* N (- N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (pow (cbrt (cbrt (+ 1.0 N))) 2) (cbrt (cbrt (+ 1.0 N))) (+ 1.0 N) (sqrt (cbrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N))) 2/3 2 (pow (cbrt (+ 1.0 N)) 6) (pow (cbrt (+ 1.0 N)) 2) 2 (* (log (cbrt (+ 1.0 N))) 2) (* (log (cbrt (+ 1.0 N))) 2) (exp (pow (cbrt (+ 1.0 N)) 2)) (pow (cbrt (+ 1.0 N)) 6) (* (cbrt (pow (cbrt (+ 1.0 N)) 2)) (cbrt (pow (cbrt (+ 1.0 N)) 2))) (cbrt (pow (cbrt (+ 1.0 N)) 2)) (pow (cbrt (+ 1.0 N)) 6) (fabs (cbrt (+ 1.0 N))) (fabs (cbrt (+ 1.0 N))) (* (cbrt (+ (pow 1.0 3) (pow N 3))) (cbrt (+ (pow 1.0 3) (pow N 3)))) (* (cbrt (+ (* 1.0 1.0) (* N (- N 1.0)))) (cbrt (+ (* 1.0 1.0) (* N (- N 1.0))))) (* (cbrt (+ (pow 1.0 3) (pow N 3))) (cbrt (- (* 1.0 1.0) (* N N)))) (* (cbrt (+ (* 1.0 1.0) (* N (- N 1.0)))) (cbrt (- 1.0 N))) (* (cbrt (+ (pow 1.0 3) (pow N 3))) (cbrt (- (* 1.0 1.0) (* N N)))) (* (cbrt (+ (* 1.0 1.0) (* N (- N 1.0)))) (cbrt (- 1.0 N))) (* (cbrt (- (* 1.0 1.0) (* N N))) (cbrt (- (* 1.0 1.0) (* N N)))) (* (cbrt (- 1.0 N)) (cbrt (- 1.0 N))) (* (cbrt (pow (cbrt (+ 1.0 N)) 2)) (cbrt (pow (cbrt (+ 1.0 N)) 2))) (pow (cbrt (cbrt (+ 1.0 N))) 2) (* (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N)))) (* (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N)))) 1 (pow (cbrt (+ 1.0 N)) 2) 1 (pow (cbrt (+ 1.0 N)) 2) 1 (pow (cbrt (+ 1.0 N)) 2) 1 (pow (cbrt (+ 1.0 N)) 2) (pow (cbrt (cbrt (+ 1.0 N))) 4) (pow (cbrt (cbrt (+ 1.0 N))) 2) (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)) 1 (pow (cbrt (+ 1.0 N)) 2) (* (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N)))) (* (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N)))) (* (cbrt (sqrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N)))) (* (cbrt (sqrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N)))) (* (cbrt (sqrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N)))) (* (cbrt (sqrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N)))) (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)) 2/3 2 (* (cbrt (+ 1.0 N)) (cbrt (pow (cbrt (+ 1.0 N)) 2))) (* (cbrt (+ 1.0 N)) (cbrt (sqrt (+ 1.0 N)))) (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)) (pow (cbrt (cbrt (+ 1.0 N))) 5) (pow (sqrt (cbrt (+ 1.0 N))) 3) (cbrt (+ 1.0 N)) (pow (cbrt (cbrt (+ 1.0 N))) 4) (* (cbrt (+ 1.0 N)) (cbrt (sqrt (+ 1.0 N)))) (pow (cbrt (+ 1.0 N)) 2) (pow (cbrt (+ 1.0 N)) 2) (pow (cbrt (cbrt (+ 1.0 N))) 4) (pow (sqrt (cbrt (+ 1.0 N))) 3) (pow (cbrt (+ 1.0 N)) 2) (* (cbrt (+ 1.0 N)) (cbrt (+ (pow 1.0 3) (pow N 3)))) (* (cbrt (+ 1.0 N)) (cbrt (- (* 1.0 1.0) (* N N)))) (* (cbrt (+ 1.0 N)) (cbrt (+ (pow 1.0 3) (pow N 3)))) (* (cbrt (+ 1.0 N)) (cbrt (- (* 1.0 1.0) (* N N)))) (+ (* (cbrt 1.0) (+ (* N (+ 0.3333333333333333 (* N 0.05555555555555555))) 1)) (* N (* (* N (cbrt (/ 1 (pow 1.0 5)))) -1/6))) (+ (cbrt N) (* (/ (cbrt N) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (cbrt N) (* (/ (cbrt N) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (* (cbrt 1.0) (+ (* N (+ 0.3333333333333333 (* N 0.05555555555555555))) 1)) (* N (* (* N (cbrt (/ 1 (pow 1.0 5)))) -1/6))) (+ (cbrt N) (* (/ (cbrt N) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (cbrt N) (* (/ (cbrt N) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (* (cbrt 1.0) (+ (* N (+ 0.3333333333333333 (* N 0.05555555555555555))) 1)) (* N (* (* N (cbrt (/ 1 (pow 1.0 5)))) -1/6))) (+ (cbrt N) (* (/ (cbrt N) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (cbrt N) (* (/ (cbrt N) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (- (* (cbrt 1.0) (+ (* N (+ 0.6666666666666666 (* N 0.5555555555555556))) 1)) (* N (* N (* (cbrt (/ 1 (pow 1.0 5))) 0.6666666666666666)))) (+ (pow N 2/3) (* (/ (pow N 2/3) N) (- 0.6666666666666666 (/ 0.1111111111111111 N)))) (+ (pow N 2/3) (* (/ (pow N 2/3) N) (- 0.6666666666666666 (/ 0.1111111111111111 N)))) 0.743 * * * [progress]: adding candidates to table 0.939 * [progress]: [Phase 3 of 3] Extracting. 0.940 * * [regime]: Finding splitpoints for: (# # # # # # # #) 0.941 * * * [regime-changes]: Trying 2 branch expressions: ((- (atan (+ N 1.0)) (atan N)) N) 0.941 * * * * [regimes]: Trying to branch on (- (atan (+ N 1.0)) (atan N)) from (# # # # # # # #) 0.984 * * * * [regimes]: Trying to branch on N from (# # # # # # # #) 1.027 * * * [regime]: Found split indices: #