5.824 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.030 * * * [progress]: [2/2] Setting up program. 0.034 * [progress]: [Phase 2 of 3] Improving. 0.034 * [simplify]: Simplifying using # : (- (atan (+ N 1.0)) (atan N)) 0.038 * * [simplify]: iteration 0 : 71 enodes (cost 7 ) 0.038 * * [simplify]: iteration 1 : 71 enodes (cost 7 ) 0.038 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.039 * * [progress]: iteration 1 / 4 0.039 * * * [progress]: picking best candidate 0.041 * * * * [pick]: Picked # 0.041 * * * [progress]: localizing error 0.047 * * * [progress]: generating rewritten candidates 0.047 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.050 * * * [progress]: generating series expansions 0.050 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.050 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.050 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.050 * [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]: simplifying candidates 0.054 * [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)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) 0.118 * * [simplify]: iteration 0 : 5339 enodes (cost 182 ) 0.119 * [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)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) 0.120 * * * [progress]: adding candidates to table 0.141 * * [progress]: iteration 2 / 4 0.141 * * * [progress]: picking best candidate 0.150 * * * * [pick]: Picked # 0.150 * * * [progress]: localizing error 0.156 * * * [progress]: generating rewritten candidates 0.156 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.156 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.163 * * * [progress]: generating series expansions 0.163 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.163 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.163 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.163 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.163 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.164 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.164 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.164 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.164 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.164 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.165 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.165 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 0.165 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.165 * [taylor]: Taking taylor expansion of N in N 0.165 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.165 * [taylor]: Taking taylor expansion of N in N 0.165 * [taylor]: Taking taylor expansion of 1.0 in N 0.165 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.165 * [taylor]: Taking taylor expansion of N in N 0.165 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.165 * [taylor]: Taking taylor expansion of N in N 0.165 * [taylor]: Taking taylor expansion of 1.0 in N 0.166 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 0.166 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.166 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.166 * [taylor]: Taking taylor expansion of N in N 0.166 * [taylor]: Taking taylor expansion of 1.0 in N 0.166 * [taylor]: Taking taylor expansion of N in N 0.166 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.166 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.166 * [taylor]: Taking taylor expansion of N in N 0.166 * [taylor]: Taking taylor expansion of 1.0 in N 0.166 * [taylor]: Taking taylor expansion of N in N 0.167 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 0.167 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.167 * [taylor]: Taking taylor expansion of -1 in N 0.167 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.167 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.167 * [taylor]: Taking taylor expansion of 1.0 in N 0.167 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.167 * [taylor]: Taking taylor expansion of N in N 0.168 * [taylor]: Taking taylor expansion of N in N 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 0.168 * [taylor]: Taking taylor expansion of N in N 0.168 * [taylor]: Taking taylor expansion of N in N 0.169 * * * [progress]: simplifying candidates 0.170 * [simplify]: Simplifying using # : (log (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (exp (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (* (cbrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (cbrt (atan2 1.0 (+ 1 (* N (+ N 1.0)))))) (cbrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (* (* (atan2 1.0 (+ 1 (* N (+ N 1.0)))) (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (sqrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (sqrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (* 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)) 0.227 * * [simplify]: iteration 0 : 4907 enodes (cost 272 ) 0.227 * * [simplify]: iteration 1 : 4907 enodes (cost 272 ) 0.229 * [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)) 0.229 * * * [progress]: adding candidates to table 0.277 * * [progress]: iteration 3 / 4 0.277 * * * [progress]: picking best candidate 0.293 * * * * [pick]: Picked # 0.293 * * * [progress]: localizing error 0.302 * * * [progress]: generating rewritten candidates 0.302 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 0.308 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 2) 0.309 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2) 0.310 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1) 0.313 * * * [progress]: generating series expansions 0.313 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 0.313 * [approximate]: Taking taylor expansion of (pow (pow N 2) 1/3) in (N) around 0 0.313 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 0.313 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 0.313 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 0.313 * [taylor]: Taking taylor expansion of 1/3 in N 0.313 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 0.313 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.313 * [taylor]: Taking taylor expansion of N in N 0.313 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 0.313 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 0.313 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 0.313 * [taylor]: Taking taylor expansion of 1/3 in N 0.313 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 0.313 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.313 * [taylor]: Taking taylor expansion of N in N 0.320 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in (N) around 0 0.320 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 0.320 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 0.320 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 0.320 * [taylor]: Taking taylor expansion of 1/3 in N 0.320 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.320 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.320 * [taylor]: Taking taylor expansion of N in N 0.320 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 0.320 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 0.320 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 0.320 * [taylor]: Taking taylor expansion of 1/3 in N 0.320 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.320 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.320 * [taylor]: Taking taylor expansion of N in N 0.327 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)) in (N) around 0 0.327 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)) in N 0.327 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 0.327 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.327 * [taylor]: Taking taylor expansion of -1 in N 0.328 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 0.328 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 0.328 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 0.328 * [taylor]: Taking taylor expansion of 1/3 in N 0.328 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.328 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.328 * [taylor]: Taking taylor expansion of N in N 0.328 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)) in N 0.328 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 0.328 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.328 * [taylor]: Taking taylor expansion of -1 in N 0.328 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 0.328 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 0.328 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 0.328 * [taylor]: Taking taylor expansion of 1/3 in N 0.328 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.328 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.328 * [taylor]: Taking taylor expansion of N in N 0.340 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 2) 0.340 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 0.340 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.340 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.340 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.340 * [taylor]: Taking taylor expansion of 1/3 in N 0.340 * [taylor]: Taking taylor expansion of (log N) in N 0.340 * [taylor]: Taking taylor expansion of N in N 0.340 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.340 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.340 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.340 * [taylor]: Taking taylor expansion of 1/3 in N 0.340 * [taylor]: Taking taylor expansion of (log N) in N 0.340 * [taylor]: Taking taylor expansion of N in N 0.346 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 0.346 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.346 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.346 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.346 * [taylor]: Taking taylor expansion of 1/3 in N 0.346 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.346 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.346 * [taylor]: Taking taylor expansion of N in N 0.346 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.346 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.346 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.346 * [taylor]: Taking taylor expansion of 1/3 in N 0.346 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.346 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.346 * [taylor]: Taking taylor expansion of N in N 0.353 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 0.353 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.353 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.353 * [taylor]: Taking taylor expansion of -1 in N 0.353 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.353 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.353 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.353 * [taylor]: Taking taylor expansion of 1/3 in N 0.353 * [taylor]: Taking taylor expansion of (log (/ 1 N)) 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 (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.353 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.353 * [taylor]: Taking taylor expansion of -1 in N 0.353 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.353 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.353 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.353 * [taylor]: Taking taylor expansion of 1/3 in N 0.353 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.353 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.353 * [taylor]: Taking taylor expansion of N in N 0.361 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2) 0.361 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 0.361 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.361 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.361 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.361 * [taylor]: Taking taylor expansion of 1/3 in N 0.361 * [taylor]: Taking taylor expansion of (log N) in N 0.361 * [taylor]: Taking taylor expansion of N in N 0.361 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.361 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.361 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.361 * [taylor]: Taking taylor expansion of 1/3 in N 0.361 * [taylor]: Taking taylor expansion of (log N) in N 0.361 * [taylor]: Taking taylor expansion of N in N 0.367 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 0.367 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.367 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.367 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.367 * [taylor]: Taking taylor expansion of 1/3 in N 0.367 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.367 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.367 * [taylor]: Taking taylor expansion of N in N 0.368 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.368 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.368 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.368 * [taylor]: Taking taylor expansion of 1/3 in N 0.368 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.368 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.368 * [taylor]: Taking taylor expansion of N in N 0.374 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 0.374 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.374 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.374 * [taylor]: Taking taylor expansion of -1 in N 0.374 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.374 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.374 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.374 * [taylor]: Taking taylor expansion of 1/3 in N 0.374 * [taylor]: Taking taylor expansion of (log (/ 1 N)) 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 (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.374 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.374 * [taylor]: Taking taylor expansion of -1 in N 0.375 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.375 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.375 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.375 * [taylor]: Taking taylor expansion of 1/3 in N 0.375 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.375 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.375 * [taylor]: Taking taylor expansion of N in N 0.383 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1) 0.383 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 0.383 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.383 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.383 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.383 * [taylor]: Taking taylor expansion of 1/3 in N 0.383 * [taylor]: Taking taylor expansion of (log N) in N 0.383 * [taylor]: Taking taylor expansion of N in N 0.383 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.383 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.383 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.383 * [taylor]: Taking taylor expansion of 1/3 in N 0.383 * [taylor]: Taking taylor expansion of (log N) in N 0.383 * [taylor]: Taking taylor expansion of N in N 0.389 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 0.389 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.389 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.389 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.389 * [taylor]: Taking taylor expansion of 1/3 in N 0.389 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.389 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.389 * [taylor]: Taking taylor expansion of N in N 0.389 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.389 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.389 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.389 * [taylor]: Taking taylor expansion of 1/3 in N 0.389 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.389 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.389 * [taylor]: Taking taylor expansion of N in N 0.395 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 0.396 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.396 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.396 * [taylor]: Taking taylor expansion of -1 in N 0.396 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.396 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.396 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.396 * [taylor]: Taking taylor expansion of 1/3 in N 0.396 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.396 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.396 * [taylor]: Taking taylor expansion of N in N 0.396 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.396 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.396 * [taylor]: Taking taylor expansion of -1 in N 0.396 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.396 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.396 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.396 * [taylor]: Taking taylor expansion of 1/3 in N 0.396 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.396 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.396 * [taylor]: Taking taylor expansion of N in N 0.404 * * * [progress]: simplifying candidates 0.405 * [simplify]: Simplifying using # : (+ 1/3 1/3) (+ 1 1) (* N N) (* (cbrt N) (cbrt N)) (+ 1 1) (+ (log (cbrt N)) (log (cbrt N))) (log (* (cbrt N) (cbrt N))) (exp (* (cbrt N) (cbrt N))) (* N N) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (* (cbrt N) (cbrt N)))) (cbrt (* (cbrt N) (cbrt N))) (* (* (* (cbrt N) (cbrt N)) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (sqrt (* (cbrt N) (cbrt N))) (sqrt (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (* (cbrt N) (cbrt N)))) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N)) (* (* (cbrt (cbrt N)) (cbrt (cbrt N))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (* (sqrt (cbrt N)) (sqrt (cbrt N))) (* (sqrt (cbrt N)) (sqrt (cbrt N))) (* 1 1) (* (cbrt N) (cbrt N)) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (sqrt (cbrt N))) (* (cbrt (sqrt N)) (sqrt (cbrt N))) (* (sqrt (cbrt N)) (cbrt (sqrt N))) (* (sqrt (cbrt N)) (cbrt (sqrt N))) (* (sqrt (cbrt N)) (sqrt (cbrt N))) (* (sqrt (cbrt N)) (sqrt (cbrt N))) (* 2 1/3) (* 2 1) (* (cbrt N) (cbrt (* (cbrt N) (cbrt N)))) (* (cbrt N) (cbrt (sqrt N))) (* (cbrt N) (cbrt 1)) (* (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (* (cbrt N) (sqrt (cbrt N))) (* (cbrt N) 1) (* (cbrt (cbrt N)) (cbrt N)) (* (cbrt (sqrt N)) (cbrt N)) (* (cbrt N) (cbrt N)) (* (cbrt (cbrt N)) (cbrt N)) (* (sqrt (cbrt N)) (cbrt N)) (* (cbrt N) (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (exp (* 1/3 (+ (log 1) (* 2 (log N))))) (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 N))))))) (exp (* 1/3 (+ (log 1) (log N)))) (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 N)))))) (exp (* 1/3 (+ (log 1) (log N)))) (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 N)))))) (exp (* 1/3 (+ (log 1) (log N)))) (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 N)))))) 0.446 * * [simplify]: iteration 0 : 5165 enodes (cost 356 ) 0.449 * [simplify]: Simplified to: 2/3 2 (* N N) (pow N 2/3) 2 (* 2/3 (log N)) (* 2/3 (log N)) (exp (pow N 2/3)) (* N N) (* (cbrt (pow N 2/3)) (cbrt (pow N 2/3))) (cbrt (pow N 2/3)) (* N N) (fabs (cbrt N)) (fabs (cbrt N)) (* (cbrt (pow N 2/3)) (cbrt (pow N 2/3))) (pow (cbrt (cbrt N)) 2) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) 1 (pow N 2/3) (pow (cbrt (cbrt N)) 4) (pow (cbrt (cbrt N)) 2) (cbrt N) (cbrt N) 1 (pow N 2/3) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (sqrt (cbrt N))) (* (cbrt (sqrt N)) (sqrt (cbrt N))) (* (cbrt (sqrt N)) (sqrt (cbrt N))) (* (cbrt (sqrt N)) (sqrt (cbrt N))) (cbrt N) (cbrt N) 2/3 2 (* (cbrt N) (cbrt (pow N 2/3))) (* (cbrt N) (cbrt (sqrt N))) (cbrt N) (pow (cbrt (cbrt N)) 5) (pow (sqrt (cbrt N)) 3) (cbrt N) (pow (cbrt (cbrt N)) 4) (* (cbrt N) (cbrt (sqrt N))) (pow N 2/3) (pow (cbrt (cbrt N)) 4) (pow (sqrt (cbrt N)) 3) (pow N 2/3) (log (cbrt N)) (exp (cbrt N)) (cbrt (pow N 2/3)) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (pow (cbrt (cbrt N)) 2) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (pow N 2/3)) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (pow (cbrt (cbrt N)) 2) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (pow N 2/3)) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (pow (cbrt (cbrt N)) 2) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (pow N 2/3) (pow N 2/3) (* (pow N 2/3) (pow (cbrt -1) 2)) (cbrt N) (cbrt N) (* (cbrt -1) (cbrt (* N -1))) (cbrt N) (cbrt N) (* (cbrt -1) (cbrt (* N -1))) (cbrt N) (cbrt N) (* (cbrt -1) (cbrt (* N -1))) 0.449 * * * [progress]: adding candidates to table 0.534 * * [progress]: iteration 4 / 4 0.534 * * * [progress]: picking best candidate 0.551 * * * * [pick]: Picked # 0.551 * * * [progress]: localizing error 0.561 * * * [progress]: generating rewritten candidates 0.561 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 0.564 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 2) 0.565 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.565 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 0.576 * * * [progress]: generating series expansions 0.577 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 0.577 * [approximate]: Taking taylor expansion of (pow (pow N 2) 1/3) in (N) around 0 0.577 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 0.577 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 0.577 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 0.577 * [taylor]: Taking taylor expansion of 1/3 in N 0.577 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 0.577 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.577 * [taylor]: Taking taylor expansion of N in N 0.577 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 0.577 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 0.577 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 0.577 * [taylor]: Taking taylor expansion of 1/3 in N 0.577 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 0.577 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.577 * [taylor]: Taking taylor expansion of N in N 0.583 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in (N) around 0 0.583 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 0.584 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 0.584 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 0.584 * [taylor]: Taking taylor expansion of 1/3 in N 0.584 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 0.584 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.584 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.584 * [taylor]: Taking taylor expansion of N in N 0.584 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 0.584 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 0.584 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 0.584 * [taylor]: Taking taylor expansion of 1/3 in N 0.584 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 0.584 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.584 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.584 * [taylor]: Taking taylor expansion of N in N 0.591 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in (N) around 0 0.591 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 0.591 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 0.591 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 0.591 * [taylor]: Taking taylor expansion of 1/3 in N 0.591 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 0.591 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.591 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.591 * [taylor]: Taking taylor expansion of N in N 0.591 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 0.591 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 0.591 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 0.591 * [taylor]: Taking taylor expansion of 1/3 in N 0.591 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 0.591 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.591 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.591 * [taylor]: Taking taylor expansion of N in N 0.598 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 2) 0.598 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 0.598 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.598 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.598 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.598 * [taylor]: Taking taylor expansion of 1/3 in N 0.598 * [taylor]: Taking taylor expansion of (log N) in N 0.598 * [taylor]: Taking taylor expansion of N in N 0.598 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.598 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.598 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.598 * [taylor]: Taking taylor expansion of 1/3 in N 0.598 * [taylor]: Taking taylor expansion of (log N) in N 0.598 * [taylor]: Taking taylor expansion of N in N 0.604 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 0.604 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.604 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.604 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.604 * [taylor]: Taking taylor expansion of 1/3 in N 0.604 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.604 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.604 * [taylor]: Taking taylor expansion of N in N 0.605 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.605 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.605 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.605 * [taylor]: Taking taylor expansion of 1/3 in N 0.605 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.605 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.605 * [taylor]: Taking taylor expansion of N in N 0.611 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 0.611 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.611 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.611 * [taylor]: Taking taylor expansion of -1 in N 0.611 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.611 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.611 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.611 * [taylor]: Taking taylor expansion of 1/3 in N 0.611 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.611 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.611 * [taylor]: Taking taylor expansion of N in N 0.611 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.611 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.611 * [taylor]: Taking taylor expansion of -1 in N 0.612 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.612 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.612 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.612 * [taylor]: Taking taylor expansion of 1/3 in N 0.612 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.612 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.612 * [taylor]: Taking taylor expansion of N in N 0.619 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.620 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.620 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.620 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.620 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.620 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.620 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.621 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (cbrt -1) N)) 1) (/ (cbrt -1) (pow N 2)))) in (N) around 0 0.621 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (cbrt -1) N)) 1) (/ (cbrt -1) (pow N 2)))) in N 0.622 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (cbrt -1) N)) 1) (/ (cbrt -1) (pow N 2)))) in N 0.623 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 0.623 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 0.623 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.623 * [taylor]: Taking taylor expansion of N in N 0.623 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.623 * [taylor]: Taking taylor expansion of N in N 0.623 * [taylor]: Taking taylor expansion of 1.0 in N 0.623 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.623 * [taylor]: Taking taylor expansion of N in N 0.623 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.623 * [taylor]: Taking taylor expansion of N in N 0.623 * [taylor]: Taking taylor expansion of 1.0 in N 0.624 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 0.624 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.624 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.624 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.624 * [taylor]: Taking taylor expansion of N in N 0.624 * [taylor]: Taking taylor expansion of 1.0 in N 0.624 * [taylor]: Taking taylor expansion of N in N 0.624 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.624 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.624 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.624 * [taylor]: Taking taylor expansion of N in N 0.624 * [taylor]: Taking taylor expansion of 1.0 in N 0.624 * [taylor]: Taking taylor expansion of N in N 0.625 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (- 1.0 (/ 1 N))) N) in (N) around 0 0.625 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (- 1.0 (/ 1 N))) N) in N 0.625 * [taylor]: Taking taylor expansion of (* (cbrt -1) (- 1.0 (/ 1 N))) in N 0.625 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.625 * [taylor]: Taking taylor expansion of -1 in N 0.625 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.626 * [taylor]: Taking taylor expansion of 1.0 in N 0.626 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.626 * [taylor]: Taking taylor expansion of N in N 0.626 * [taylor]: Taking taylor expansion of N in N 0.626 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (- 1.0 (/ 1 N))) N) in N 0.626 * [taylor]: Taking taylor expansion of (* (cbrt -1) (- 1.0 (/ 1 N))) in N 0.626 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.626 * [taylor]: Taking taylor expansion of -1 in N 0.626 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.626 * [taylor]: Taking taylor expansion of 1.0 in N 0.626 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.626 * [taylor]: Taking taylor expansion of N in N 0.626 * [taylor]: Taking taylor expansion of N in N 0.630 * * * [progress]: simplifying candidates 0.630 * [simplify]: Simplifying using # : (log (cbrt (* N N))) (exp (cbrt (* N N))) (cbrt N) (cbrt N) (* (cbrt (cbrt (* N N))) (cbrt (cbrt (* N N)))) (cbrt (cbrt (* N N))) (* (* (cbrt (* N N)) (cbrt (* N N))) (cbrt (* N N))) (sqrt (cbrt (* N N))) (sqrt (cbrt (* N N))) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (log (atan2 1.0 (+ 1 (* (cbrt (* N N)) (* (+ 1.0 N) (cbrt N)))))) (exp (atan2 1.0 (+ 1 (* (cbrt (* N N)) (* (+ 1.0 N) (cbrt N)))))) (* (cbrt (atan2 1.0 (+ 1 (* (cbrt (* N N)) (* (+ 1.0 N) (cbrt N)))))) (cbrt (atan2 1.0 (+ 1 (* (cbrt (* N N)) (* (+ 1.0 N) (cbrt N))))))) (cbrt (atan2 1.0 (+ 1 (* (cbrt (* N N)) (* (+ 1.0 N) (cbrt N)))))) (* (* (atan2 1.0 (+ 1 (* (cbrt (* N N)) (* (+ 1.0 N) (cbrt N))))) (atan2 1.0 (+ 1 (* (cbrt (* N N)) (* (+ 1.0 N) (cbrt N)))))) (atan2 1.0 (+ 1 (* (cbrt (* N N)) (* (+ 1.0 N) (cbrt N)))))) (sqrt (atan2 1.0 (+ 1 (* (cbrt (* N N)) (* (+ 1.0 N) (cbrt N)))))) (sqrt (atan2 1.0 (+ 1 (* (cbrt (* N N)) (* (+ 1.0 N) (cbrt N)))))) (* (cbrt (* N N)) (* (+ 1.0 N) (cbrt N))) (* (cbrt (* N N)) (* (+ 1.0 N) (cbrt N))) (+ (log (cbrt (* N N))) (+ (log (+ 1.0 N)) (log (cbrt N)))) (+ (log (cbrt (* N N))) (log (* (+ 1.0 N) (cbrt N)))) (log (* (cbrt (* N N)) (* (+ 1.0 N) (cbrt N)))) (exp (* (cbrt (* N N)) (* (+ 1.0 N) (cbrt N)))) (* (* N N) (* (* (* (+ 1.0 N) (+ 1.0 N)) (+ 1.0 N)) N)) (* (* N N) (* (* (* (+ 1.0 N) (cbrt N)) (* (+ 1.0 N) (cbrt N))) (* (+ 1.0 N) (cbrt N)))) (* (cbrt (* (cbrt (* N N)) (* (+ 1.0 N) (cbrt N)))) (cbrt (* (cbrt (* N N)) (* (+ 1.0 N) (cbrt N))))) (cbrt (* (cbrt (* N N)) (* (+ 1.0 N) (cbrt N)))) (* (* (* (cbrt (* N N)) (* (+ 1.0 N) (cbrt N))) (* (cbrt (* N N)) (* (+ 1.0 N) (cbrt N)))) (* (cbrt (* N N)) (* (+ 1.0 N) (cbrt N)))) (sqrt (* (cbrt (* N N)) (* (+ 1.0 N) (cbrt N)))) (sqrt (* (cbrt (* N N)) (* (+ 1.0 N) (cbrt N)))) (* (cbrt (* N N)) (+ 1.0 N)) (* (cbrt N) (* (+ 1.0 N) (cbrt N))) (* (cbrt (cbrt (* N N))) (* (+ 1.0 N) (cbrt N))) (* (sqrt (cbrt (* N N))) (* (+ 1.0 N) (cbrt N))) (* (cbrt (* N N)) (* (+ 1.0 N) (cbrt N))) (* (cbrt (* N N)) (* (+ (pow 1.0 3) (pow N 3)) (cbrt N))) (* (cbrt (* N N)) (* (- (* 1.0 1.0) (* N N)) (cbrt N))) (exp (* 1/3 (+ (log 1) (* 2 (log N))))) (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 N)))))) (exp (* 1/3 (+ (log 1) (log N)))) (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 N)))))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (- 1 (+ (* 1.0 (* (cbrt -1) N)) (* (cbrt -1) (pow N 2))))) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) (neg (+ (* 1.0 (* (cbrt -1) N)) (* (cbrt -1) (pow N 2)))) 0.666 * * [simplify]: iteration 0 : 4913 enodes (cost 367 ) 0.667 * * [simplify]: iteration 1 : 4913 enodes (cost 367 ) 0.669 * [simplify]: Simplified to: (* (log N) 2/3) (exp (pow N 2/3)) (cbrt N) (cbrt N) (* (cbrt (pow N 2/3)) (cbrt (pow N 2/3))) (cbrt (pow N 2/3)) (* N N) (fabs (cbrt N)) (fabs (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (pow N 2/3)) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (log (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (exp (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (* (cbrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (cbrt (atan2 1.0 (+ 1 (* N (+ N 1.0)))))) (cbrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (pow (atan2 1.0 (+ 1 (* N (+ N 1.0)))) 3) (sqrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (sqrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (* N (+ N 1.0)) (* N (+ N 1.0)) (log (* N (+ N 1.0))) (log (* N (+ N 1.0))) (log (* N (+ N 1.0))) (pow (exp (+ N 1.0)) N) (pow (* N (+ N 1.0)) 3) (pow (* N (+ N 1.0)) 3) (* (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0)))) (cbrt (* N (+ N 1.0))) (pow (* N (+ N 1.0)) 3) (sqrt (* N (+ N 1.0))) (sqrt (* N (+ N 1.0))) (* (pow N 2/3) (+ N 1.0)) (* (pow N 2/3) (+ N 1.0)) (* (cbrt N) (* (cbrt (pow N 2/3)) (+ N 1.0))) (* (cbrt N) (* (fabs (cbrt N)) (+ N 1.0))) (* N (+ N 1.0)) (+ (* (pow 1.0 3) N) (pow N 4)) (* N (- (* 1.0 1.0) (* N N))) (pow N 2/3) (pow N 2/3) (pow N 2/3) (cbrt N) (cbrt N) (* (cbrt -1) (cbrt (neg N))) (atan2 1.0 (+ 1 (* N (+ N 1.0)))) (atan2 1.0 (+ 1 (* N (+ N 1.0)))) (atan2 1.0 (- 1 (* N (* (cbrt -1) (+ N 1.0))))) (* N (+ N 1.0)) (* N (+ N 1.0)) (* N (* (cbrt -1) (- (neg 1.0) N))) 0.669 * * * [progress]: adding candidates to table 0.738 * [progress]: [Phase 3 of 3] Extracting. 0.738 * * [regime]: Finding splitpoints for: (# # # # # # #) 0.740 * * * [regime-changes]: Trying 1 branch expressions: (N) 0.740 * * * * [regimes]: Trying to branch on N from (# # # # # # #) 0.779 * * * [regime]: Found split indices: #