6.879 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.027 * [progress]: [Phase 2 of 3] Improving. 0.027 * [simplify]: Simplifying using # : (- (atan (+ N 1.0)) (atan N)) 0.029 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.031 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.032 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.032 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.032 * * [progress]: iteration 1 / 4 0.032 * * * [progress]: picking best candidate 0.034 * * * * [pick]: Picked # 0.034 * * * [progress]: localizing error 0.039 * * * [progress]: generating rewritten candidates 0.039 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.043 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.044 * * * [progress]: generating series expansions 0.044 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.044 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.044 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.044 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.044 * [taylor]: Taking taylor expansion of (atan N) in N 0.045 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.045 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.045 * [taylor]: Taking taylor expansion of (atan N) in N 0.048 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.048 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.048 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.048 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.048 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.048 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.048 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.051 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.051 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.051 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.051 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.051 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.051 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.051 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.055 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.055 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.055 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.055 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.055 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.055 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.055 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.055 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.055 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.055 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.056 * * * [progress]: simplifying candidates 0.056 * [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)))) (- (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)) (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)) 0.059 * * [simplify]: iteration 0 : 75 enodes (cost 154 ) 0.061 * * [simplify]: iteration 1 : 145 enodes (cost 145 ) 0.064 * * [simplify]: iteration 2 : 289 enodes (cost 143 ) 0.068 * * [simplify]: iteration 3 : 681 enodes (cost 142 ) 0.081 * * [simplify]: iteration 4 : 2491 enodes (cost 142 ) 0.129 * * [simplify]: iteration 5 : 5001 enodes (cost 142 ) 0.130 * [simplify]: Simplified to: 1.0 (+ 1 (* (+ N 1.0) N)) (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 1.0)) (+ (atan (+ N 1.0)) (atan N))) (* (atan N) (atan N))) (- 0 (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)) (- 0 (atan N)) (log (atan (+ N 1.0))) (exp (atan (+ N 1.0))) (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (pow (atan (+ N 1.0)) 3) (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (atan (+ N 1.0)) (atan (+ N 1.0)) (atan (+ N 1.0)) 0.130 * * * [progress]: adding candidates to table 0.177 * * [progress]: iteration 2 / 4 0.177 * * * [progress]: picking best candidate 0.178 * * * * [pick]: Picked # 0.178 * * * [progress]: localizing error 0.184 * * * [progress]: generating rewritten candidates 0.184 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.185 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.191 * * * [progress]: generating series expansions 0.191 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.191 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.191 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.192 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.192 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.192 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.192 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.193 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.193 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.193 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.194 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.194 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 0.194 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.194 * [taylor]: Taking taylor expansion of N in N 0.194 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.194 * [taylor]: Taking taylor expansion of N in N 0.194 * [taylor]: Taking taylor expansion of 1.0 in N 0.194 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.194 * [taylor]: Taking taylor expansion of N in N 0.194 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.194 * [taylor]: Taking taylor expansion of N in N 0.194 * [taylor]: Taking taylor expansion of 1.0 in N 0.203 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 0.203 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.204 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.204 * [taylor]: Taking taylor expansion of N in N 0.204 * [taylor]: Taking taylor expansion of 1.0 in N 0.204 * [taylor]: Taking taylor expansion of N in N 0.204 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.204 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.204 * [taylor]: Taking taylor expansion of N in N 0.205 * [taylor]: Taking taylor expansion of 1.0 in N 0.205 * [taylor]: Taking taylor expansion of N in N 0.219 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 0.219 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.219 * [taylor]: Taking taylor expansion of -1 in N 0.219 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.219 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.219 * [taylor]: Taking taylor expansion of 1.0 in N 0.219 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.219 * [taylor]: Taking taylor expansion of N in N 0.219 * [taylor]: Taking taylor expansion of N in N 0.220 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.220 * [taylor]: Taking taylor expansion of -1 in N 0.220 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.220 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.220 * [taylor]: Taking taylor expansion of 1.0 in N 0.220 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.220 * [taylor]: Taking taylor expansion of N in N 0.221 * [taylor]: Taking taylor expansion of N in N 0.239 * * * [progress]: simplifying candidates 0.240 * [simplify]: Simplifying using # : (log (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (+ N 1.0) N) (+ (log (+ N 1.0)) (log N)) (log (* (+ N 1.0) N)) (exp (* (+ N 1.0) N)) (* (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)) (* (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (+ N 1.0) (sqrt N)) (* (+ N 1.0) 1) (* (cbrt (+ N 1.0)) N) (* (sqrt (+ N 1.0)) N) (* (+ N 1.0) N) (* (+ N 1.0) N) (* (+ (pow N 3) (pow 1.0 3)) N) (* (- (* N N) (* 1.0 1.0)) N) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) 0.243 * * [simplify]: iteration 0 : 121 enodes (cost 151 ) 0.246 * * [simplify]: iteration 1 : 432 enodes (cost 127 ) 0.255 * * [simplify]: iteration 2 : 2321 enodes (cost 127 ) 0.292 * * [simplify]: iteration 3 : 5002 enodes (cost 127 ) 0.293 * [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)) (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 1.0)) (sqrt N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (+ N 1.0) (sqrt N)) (+ N 1.0) (* (cbrt (+ N 1.0)) N) (* (sqrt (+ N 1.0)) N) (* (+ N 1.0) N) (* (+ N 1.0) N) (* (+ (pow N 3) (pow 1.0 3)) N) (* (- (* N N) (* 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) 0.293 * * * [progress]: adding candidates to table 0.348 * * [progress]: iteration 3 / 4 0.348 * * * [progress]: picking best candidate 0.360 * * * * [pick]: Picked # 0.360 * * * [progress]: localizing error 0.369 * * * [progress]: generating rewritten candidates 0.370 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 0.374 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 0.379 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 0.383 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.385 * * * [progress]: generating series expansions 0.385 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 0.385 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.385 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.385 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.385 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.385 * [taylor]: Taking taylor expansion of 1/3 in N 0.385 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.385 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.385 * [taylor]: Taking taylor expansion of N in N 0.385 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.385 * [taylor]: Taking taylor expansion of N in N 0.385 * [taylor]: Taking taylor expansion of 1.0 in N 0.388 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.388 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.388 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.388 * [taylor]: Taking taylor expansion of 1/3 in N 0.388 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.388 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.388 * [taylor]: Taking taylor expansion of N in N 0.391 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.392 * [taylor]: Taking taylor expansion of N in N 0.392 * [taylor]: Taking taylor expansion of 1.0 in N 0.422 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.422 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.423 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.423 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.423 * [taylor]: Taking taylor expansion of 1/3 in N 0.423 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.423 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.423 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.423 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.423 * [taylor]: Taking taylor expansion of N in N 0.423 * [taylor]: Taking taylor expansion of 1.0 in N 0.423 * [taylor]: Taking taylor expansion of N in N 0.424 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.424 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.424 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.424 * [taylor]: Taking taylor expansion of 1/3 in N 0.424 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.424 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.424 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.424 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.424 * [taylor]: Taking taylor expansion of N in N 0.424 * [taylor]: Taking taylor expansion of 1.0 in N 0.425 * [taylor]: Taking taylor expansion of N in N 0.446 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.447 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.447 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.447 * [taylor]: Taking taylor expansion of -1 in N 0.448 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.448 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.448 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.448 * [taylor]: Taking taylor expansion of 1/3 in N 0.448 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.448 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.448 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.448 * [taylor]: Taking taylor expansion of 1.0 in N 0.448 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.448 * [taylor]: Taking taylor expansion of N in N 0.448 * [taylor]: Taking taylor expansion of N in N 0.450 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.450 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.450 * [taylor]: Taking taylor expansion of -1 in N 0.451 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.451 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.451 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.451 * [taylor]: Taking taylor expansion of 1/3 in N 0.451 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.451 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.451 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.451 * [taylor]: Taking taylor expansion of 1.0 in N 0.451 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.451 * [taylor]: Taking taylor expansion of N in N 0.451 * [taylor]: Taking taylor expansion of N in N 0.490 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 0.491 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.491 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.491 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.491 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.491 * [taylor]: Taking taylor expansion of 1/3 in N 0.491 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.491 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.491 * [taylor]: Taking taylor expansion of N in N 0.491 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.491 * [taylor]: Taking taylor expansion of N in N 0.491 * [taylor]: Taking taylor expansion of 1.0 in N 0.494 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.494 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.494 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.494 * [taylor]: Taking taylor expansion of 1/3 in N 0.494 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.494 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.494 * [taylor]: Taking taylor expansion of N in N 0.494 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.494 * [taylor]: Taking taylor expansion of N in N 0.494 * [taylor]: Taking taylor expansion of 1.0 in N 0.524 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.524 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.524 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.524 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.524 * [taylor]: Taking taylor expansion of 1/3 in N 0.524 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.524 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.524 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.524 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.524 * [taylor]: Taking taylor expansion of N in N 0.524 * [taylor]: Taking taylor expansion of 1.0 in N 0.524 * [taylor]: Taking taylor expansion of N in N 0.525 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.526 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.526 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.526 * [taylor]: Taking taylor expansion of 1/3 in N 0.526 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.526 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.526 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.526 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.526 * [taylor]: Taking taylor expansion of N in N 0.526 * [taylor]: Taking taylor expansion of 1.0 in N 0.526 * [taylor]: Taking taylor expansion of N in N 0.547 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.547 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.547 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.547 * [taylor]: Taking taylor expansion of -1 in N 0.547 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.547 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.548 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.548 * [taylor]: Taking taylor expansion of 1/3 in N 0.548 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.548 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.548 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.548 * [taylor]: Taking taylor expansion of 1.0 in N 0.548 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.548 * [taylor]: Taking taylor expansion of N in N 0.548 * [taylor]: Taking taylor expansion of N in N 0.550 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.550 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.550 * [taylor]: Taking taylor expansion of -1 in N 0.551 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.551 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.551 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.551 * [taylor]: Taking taylor expansion of 1/3 in N 0.551 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.551 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.551 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.551 * [taylor]: Taking taylor expansion of 1.0 in N 0.551 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.551 * [taylor]: Taking taylor expansion of N in N 0.551 * [taylor]: Taking taylor expansion of N in N 0.589 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 0.589 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.589 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.589 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.589 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.589 * [taylor]: Taking taylor expansion of 1/3 in N 0.589 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.589 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.589 * [taylor]: Taking taylor expansion of N in N 0.589 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.589 * [taylor]: Taking taylor expansion of N in N 0.589 * [taylor]: Taking taylor expansion of 1.0 in N 0.592 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.592 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.592 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.592 * [taylor]: Taking taylor expansion of 1/3 in N 0.592 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.592 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.592 * [taylor]: Taking taylor expansion of N in N 0.592 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.592 * [taylor]: Taking taylor expansion of N in N 0.592 * [taylor]: Taking taylor expansion of 1.0 in N 0.622 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.622 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.622 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.622 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.622 * [taylor]: Taking taylor expansion of 1/3 in N 0.622 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.622 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.622 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.622 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.622 * [taylor]: Taking taylor expansion of N in N 0.622 * [taylor]: Taking taylor expansion of 1.0 in N 0.622 * [taylor]: Taking taylor expansion of N in N 0.623 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.623 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.624 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.624 * [taylor]: Taking taylor expansion of 1/3 in N 0.624 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) 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 0.650 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.650 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.650 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.650 * [taylor]: Taking taylor expansion of -1 in N 0.651 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.651 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.651 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.651 * [taylor]: Taking taylor expansion of 1/3 in N 0.651 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.651 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.651 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.651 * [taylor]: Taking taylor expansion of 1.0 in N 0.651 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.651 * [taylor]: Taking taylor expansion of N in N 0.651 * [taylor]: Taking taylor expansion of N in N 0.653 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.653 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.653 * [taylor]: Taking taylor expansion of -1 in N 0.654 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.654 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.654 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.654 * [taylor]: Taking taylor expansion of 1/3 in N 0.654 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.654 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.654 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.654 * [taylor]: Taking taylor expansion of 1.0 in N 0.654 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.654 * [taylor]: Taking taylor expansion of N in N 0.654 * [taylor]: Taking taylor expansion of N in N 0.686 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.687 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.687 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.687 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.688 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.688 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.688 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.689 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in (N) around 0 0.689 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in N 0.690 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in N 0.692 * * * [progress]: simplifying candidates 0.693 * [simplify]: Simplifying using # : (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (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 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (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 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (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 (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (exp (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (* (* (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))) (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) 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)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (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)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (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)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (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)))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.698 * * [simplify]: iteration 0 : 208 enodes (cost 572 ) 0.701 * * [simplify]: iteration 1 : 609 enodes (cost 524 ) 0.712 * * [simplify]: iteration 2 : 2244 enodes (cost 482 ) 0.755 * * [simplify]: iteration 3 : 5002 enodes (cost 474 ) 0.757 * [simplify]: Simplified to: (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (pow N 1/3) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (+ 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 1.0)) (pow N 1/3) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (+ 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 1.0)) (pow N 1/3) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (+ N 1.0) N) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (exp (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 3) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (- (* (* (pow N 1/3) (pow 1.0 1/3)) (+ (* N 0.3333333333333333) (* (pow N 2) 0.05555555555555555))) (- (* (/ 1/6 (/ 1.0 N)) (/ (* (pow N 1/3) (pow 1.0 1/3)) (/ 1.0 N))) (* (pow N 1/3) (pow 1.0 1/3)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (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)))) (- (* (* (pow N 1/3) (pow 1.0 1/3)) (+ (* N 0.3333333333333333) (* (pow N 2) 0.05555555555555555))) (- (* (/ 1/6 (/ 1.0 N)) (/ (* (pow N 1/3) (pow 1.0 1/3)) (/ 1.0 N))) (* (pow N 1/3) (pow 1.0 1/3)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (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)))) (- (* (* (pow N 1/3) (pow 1.0 1/3)) (+ (* N 0.3333333333333333) (* (pow N 2) 0.05555555555555555))) (- (* (/ 1/6 (/ 1.0 N)) (/ (* (pow N 1/3) (pow 1.0 1/3)) (/ 1.0 N))) (* (pow N 1/3) (pow 1.0 1/3)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (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)))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.757 * * * [progress]: adding candidates to table 0.930 * * [progress]: iteration 4 / 4 0.930 * * * [progress]: picking best candidate 0.941 * * * * [pick]: Picked # 0.941 * * * [progress]: localizing error 0.950 * * * [progress]: generating rewritten candidates 0.950 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.951 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1) 0.954 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2) 0.957 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1) 0.961 * * * [progress]: generating series expansions 0.961 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.961 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.961 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.961 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.962 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.962 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.962 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.967 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.967 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.967 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.968 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1) 0.968 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 0.968 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.968 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.968 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.968 * [taylor]: Taking taylor expansion of 1/3 in N 0.968 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.968 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.968 * [taylor]: Taking taylor expansion of N in N 0.968 * [taylor]: Taking taylor expansion of 1.0 in N 0.970 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.970 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.971 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.971 * [taylor]: Taking taylor expansion of 1/3 in N 0.971 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.971 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.971 * [taylor]: Taking taylor expansion of N in N 0.971 * [taylor]: Taking taylor expansion of 1.0 in N 1.004 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 1.004 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 1.004 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 1.004 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 1.004 * [taylor]: Taking taylor expansion of 1/3 in N 1.004 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.004 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.004 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.004 * [taylor]: Taking taylor expansion of N in N 1.004 * [taylor]: Taking taylor expansion of 1.0 in N 1.005 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 1.005 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 1.005 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 1.005 * [taylor]: Taking taylor expansion of 1/3 in N 1.005 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.005 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.005 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.005 * [taylor]: Taking taylor expansion of N in N 1.006 * [taylor]: Taking taylor expansion of 1.0 in N 1.024 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 1.024 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 1.024 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 1.024 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 1.024 * [taylor]: Taking taylor expansion of 1/3 in N 1.024 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.024 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.024 * [taylor]: Taking taylor expansion of 1.0 in N 1.024 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.024 * [taylor]: Taking taylor expansion of N in N 1.026 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 1.027 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 1.027 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 1.027 * [taylor]: Taking taylor expansion of 1/3 in N 1.027 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.027 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.027 * [taylor]: Taking taylor expansion of 1.0 in N 1.027 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.027 * [taylor]: Taking taylor expansion of N in N 1.057 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2) 1.057 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 1.057 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 1.057 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 1.057 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 1.057 * [taylor]: Taking taylor expansion of 1/3 in N 1.057 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.057 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.057 * [taylor]: Taking taylor expansion of N in N 1.057 * [taylor]: Taking taylor expansion of 1.0 in N 1.059 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 1.059 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 1.059 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 1.059 * [taylor]: Taking taylor expansion of 1/3 in N 1.059 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.059 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.059 * [taylor]: Taking taylor expansion of N in N 1.059 * [taylor]: Taking taylor expansion of 1.0 in N 1.092 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 1.092 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 1.092 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 1.092 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 1.092 * [taylor]: Taking taylor expansion of 1/3 in N 1.092 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.092 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.092 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.092 * [taylor]: Taking taylor expansion of N in N 1.093 * [taylor]: Taking taylor expansion of 1.0 in N 1.094 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 1.094 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 1.094 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 1.094 * [taylor]: Taking taylor expansion of 1/3 in N 1.094 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.094 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.094 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.094 * [taylor]: Taking taylor expansion of N in N 1.094 * [taylor]: Taking taylor expansion of 1.0 in N 1.112 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 1.112 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 1.112 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 1.112 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 1.112 * [taylor]: Taking taylor expansion of 1/3 in N 1.113 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.113 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.113 * [taylor]: Taking taylor expansion of 1.0 in N 1.113 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.113 * [taylor]: Taking taylor expansion of N in N 1.115 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 1.115 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 1.115 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 1.115 * [taylor]: Taking taylor expansion of 1/3 in N 1.115 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.115 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.115 * [taylor]: Taking taylor expansion of 1.0 in N 1.115 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.115 * [taylor]: Taking taylor expansion of N in N 1.145 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1) 1.145 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 1.145 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 1.145 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 1.145 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 1.145 * [taylor]: Taking taylor expansion of 1/3 in N 1.145 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.145 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.145 * [taylor]: Taking taylor expansion of N in N 1.145 * [taylor]: Taking taylor expansion of 1.0 in N 1.147 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 1.147 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 1.147 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 1.147 * [taylor]: Taking taylor expansion of 1/3 in N 1.147 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.148 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.148 * [taylor]: Taking taylor expansion of N in N 1.148 * [taylor]: Taking taylor expansion of 1.0 in N 1.181 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 1.181 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 1.181 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 1.181 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 1.181 * [taylor]: Taking taylor expansion of 1/3 in N 1.181 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.181 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.181 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.181 * [taylor]: Taking taylor expansion of N in N 1.181 * [taylor]: Taking taylor expansion of 1.0 in N 1.182 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 1.182 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 1.182 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 1.182 * [taylor]: Taking taylor expansion of 1/3 in N 1.182 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.182 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.182 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.182 * [taylor]: Taking taylor expansion of N in N 1.183 * [taylor]: Taking taylor expansion of 1.0 in N 1.201 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 1.201 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 1.201 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 1.201 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 1.201 * [taylor]: Taking taylor expansion of 1/3 in N 1.201 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.201 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.201 * [taylor]: Taking taylor expansion of 1.0 in N 1.201 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.201 * [taylor]: Taking taylor expansion of N in N 1.203 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 1.203 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 1.203 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 1.203 * [taylor]: Taking taylor expansion of 1/3 in N 1.203 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.203 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.203 * [taylor]: Taking taylor expansion of 1.0 in N 1.203 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.203 * [taylor]: Taking taylor expansion of N in N 1.234 * * * [progress]: simplifying candidates 1.235 * [simplify]: Simplifying using # : (log (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (exp (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (* (* (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 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))) (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))) (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))) (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 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)))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 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)))) (- (+ (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)))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 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)))) (- (+ (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)))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 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)))) 1.239 * * [simplify]: iteration 0 : 198 enodes (cost 498 ) 1.242 * * [simplify]: iteration 1 : 513 enodes (cost 454 ) 1.251 * * [simplify]: iteration 2 : 1617 enodes (cost 445 ) 1.283 * * [simplify]: iteration 3 : 5002 enodes (cost 430 ) 1.286 * [simplify]: Simplified to: (log (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (exp (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 3) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 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))) (+ N 1.0) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (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))) (+ N 1.0) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (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))) (+ N 1.0) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 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) (- (* (pow 1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow 1.0 5)) 1/3) 1/6))) (* (+ (* 0.3333333333333333 N) 1) (pow 1.0 1/3))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (* (pow N 1/6) (pow N 1/6)) (- (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)))) (+ (* (pow N 2) (- (* (pow 1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow 1.0 5)) 1/3) 1/6))) (* (+ (* 0.3333333333333333 N) 1) (pow 1.0 1/3))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (* (pow N 1/6) (pow N 1/6)) (- (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)))) (+ (* (pow N 2) (- (* (pow 1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow 1.0 5)) 1/3) 1/6))) (* (+ (* 0.3333333333333333 N) 1) (pow 1.0 1/3))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (* (pow N 1/6) (pow N 1/6)) (- (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)))) 1.286 * * * [progress]: adding candidates to table 1.462 * [progress]: [Phase 3 of 3] Extracting. 1.462 * * [regime]: Finding splitpoints for: (# # # # # # #) 1.464 * * * [regime-changes]: Trying 1 branch expressions: (N) 1.464 * * * * [regimes]: Trying to branch on N from (# # # # # # #) 1.489 * * * [regime]: Found split indices: #