6.526 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.027 * * * [progress]: [2/2] Setting up program. 0.029 * [progress]: [Phase 2 of 3] Improving. 0.030 * [simplify]: Simplifying using # : (- (atan (+ N 1.0)) (atan N)) 0.034 * * [simplify]: iteration 0 : 71 enodes (cost 7 ) 0.034 * * [simplify]: iteration 1 : 71 enodes (cost 7 ) 0.034 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.037 * * [progress]: iteration 1 / 4 0.037 * * * [progress]: picking best candidate 0.039 * * * * [pick]: Picked # 0.039 * * * [progress]: localizing error 0.049 * * * [progress]: generating rewritten candidates 0.049 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.052 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.054 * * * [progress]: generating series expansions 0.054 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.054 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.054 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.054 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.055 * [taylor]: Taking taylor expansion of (atan N) in N 0.055 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.055 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.055 * [taylor]: Taking taylor expansion of (atan N) in N 0.056 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.056 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.056 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.056 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.056 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.056 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.056 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.057 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.057 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.057 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.057 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.057 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.057 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.057 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.057 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.057 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.057 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.057 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.057 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.057 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.058 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.058 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.058 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.058 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.058 * * * [progress]: simplifying candidates 0.059 * [simplify]: Simplifying using # : (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)) (/ (exp (atan (+ N 1.0))) (exp (atan N))) (log (- (atan (+ N 1.0)) (atan N))) (exp (- (atan (+ N 1.0)) (atan N))) (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N)))) (cbrt (- (atan (+ N 1.0)) (atan N))) (* (* (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N))) (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1.0)) (atan (+ N 1.0))) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (atan N)))) (neg (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (atan (+ N 1.0)) (atan N)) (log (atan (+ N 1.0))) (exp (atan (+ N 1.0))) (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (* (* (atan (+ N 1.0)) (atan (+ N 1.0))) (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (atan (+ N 1.0)) (atan (+ N 1.0)) (atan (+ N 1.0)) 0.137 * * [simplify]: iteration 0 : 5349 enodes (cost 236 ) 0.139 * [simplify]: Simplified to: 1.0 (+ 1 (* N (+ N 1.0))) (exp (- (atan (+ N 1.0)) (atan N))) (log (- (atan (+ N 1.0)) (atan N))) (exp (- (atan (+ N 1.0)) (atan N))) (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N)))) (cbrt (- (atan (+ N 1.0)) (atan N))) (pow (- (atan (+ N 1.0)) (atan N)) 3) (sqrt (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3)) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (+ (atan (+ N 1.0)) (atan N)))) (neg (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (atan (+ N 1.0)) (atan N)) (log (atan (+ N 1.0))) (exp (atan (+ N 1.0))) (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (pow (atan (+ N 1.0)) 3) (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (atan (+ N 1.0)) (atan (+ N 1.0)) (atan (+ N 1.0)) 0.139 * * * [progress]: adding candidates to table 0.179 * * [progress]: iteration 2 / 4 0.179 * * * [progress]: picking best candidate 0.187 * * * * [pick]: Picked # 0.187 * * * [progress]: localizing error 0.193 * * * [progress]: generating rewritten candidates 0.193 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.194 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.200 * * * [progress]: generating series expansions 0.200 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.200 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.200 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.201 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.201 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.201 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.201 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.202 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.202 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.202 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.202 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.203 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 0.203 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.203 * [taylor]: Taking taylor expansion of N in N 0.203 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.203 * [taylor]: Taking taylor expansion of N in N 0.203 * [taylor]: Taking taylor expansion of 1.0 in N 0.203 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.203 * [taylor]: Taking taylor expansion of N in N 0.203 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.203 * [taylor]: Taking taylor expansion of N in N 0.203 * [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 0.204 * [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 0.204 * [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 0.204 * [taylor]: Taking taylor expansion of 1.0 in N 0.204 * [taylor]: Taking taylor expansion of N in N 0.205 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 0.205 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.205 * [taylor]: Taking taylor expansion of -1 in N 0.205 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.205 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.205 * [taylor]: Taking taylor expansion of 1.0 in N 0.205 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.205 * [taylor]: Taking taylor expansion of N in N 0.205 * [taylor]: Taking taylor expansion of N in N 0.205 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.205 * [taylor]: Taking taylor expansion of -1 in N 0.205 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.205 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.205 * [taylor]: Taking taylor expansion of 1.0 in N 0.205 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.205 * [taylor]: Taking taylor expansion of N in N 0.205 * [taylor]: Taking taylor expansion of N in N 0.207 * * * [progress]: simplifying candidates 0.207 * [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)) 0.275 * * [simplify]: iteration 0 : 4907 enodes (cost 272 ) 0.275 * * [simplify]: iteration 1 : 4907 enodes (cost 272 ) 0.277 * [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) (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)) (* N (+ (pow N 3) (pow 1.0 3))) (* N (- (* N N) (* 1.0 1.0))) (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)) 0.277 * * * [progress]: adding candidates to table 0.335 * * [progress]: iteration 3 / 4 0.335 * * * [progress]: picking best candidate 0.346 * * * * [pick]: Picked # 0.346 * * * [progress]: localizing error 0.356 * * * [progress]: generating rewritten candidates 0.356 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 0.360 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 0.365 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 0.369 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 0.378 * * * [progress]: generating series expansions 0.378 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 0.378 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.378 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.378 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.378 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.378 * [taylor]: Taking taylor expansion of 1/3 in N 0.378 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.378 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.378 * [taylor]: Taking taylor expansion of N in N 0.378 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.378 * [taylor]: Taking taylor expansion of N in N 0.378 * [taylor]: Taking taylor expansion of 1.0 in N 0.378 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.378 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.378 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.378 * [taylor]: Taking taylor expansion of 1/3 in N 0.378 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.378 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.378 * [taylor]: Taking taylor expansion of N in N 0.378 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.378 * [taylor]: Taking taylor expansion of N in N 0.378 * [taylor]: Taking taylor expansion of 1.0 in N 0.382 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.382 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.382 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.382 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.382 * [taylor]: Taking taylor expansion of 1/3 in N 0.383 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.383 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.383 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.383 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.383 * [taylor]: Taking taylor expansion of N in N 0.383 * [taylor]: Taking taylor expansion of 1.0 in N 0.383 * [taylor]: Taking taylor expansion of N in N 0.383 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.383 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.383 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.383 * [taylor]: Taking taylor expansion of 1/3 in N 0.383 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.383 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.383 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.383 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.383 * [taylor]: Taking taylor expansion of N in N 0.383 * [taylor]: Taking taylor expansion of 1.0 in N 0.383 * [taylor]: Taking taylor expansion of N in N 0.385 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.385 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.385 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.385 * [taylor]: Taking taylor expansion of -1 in N 0.385 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.385 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.385 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.385 * [taylor]: Taking taylor expansion of 1/3 in N 0.385 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.385 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.385 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.385 * [taylor]: Taking taylor expansion of 1.0 in N 0.385 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.385 * [taylor]: Taking taylor expansion of N in N 0.385 * [taylor]: Taking taylor expansion of N in N 0.386 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.386 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.386 * [taylor]: Taking taylor expansion of -1 in N 0.386 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.386 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.386 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.386 * [taylor]: Taking taylor expansion of 1/3 in N 0.386 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.386 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.386 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.386 * [taylor]: Taking taylor expansion of 1.0 in N 0.386 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.386 * [taylor]: Taking taylor expansion of N in N 0.386 * [taylor]: Taking taylor expansion of N in N 0.389 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 0.389 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.389 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.389 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.390 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.390 * [taylor]: Taking taylor expansion of 1/3 in N 0.390 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.390 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.390 * [taylor]: Taking taylor expansion of N in N 0.390 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.390 * [taylor]: Taking taylor expansion of N in N 0.390 * [taylor]: Taking taylor expansion of 1.0 in N 0.390 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.390 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.390 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.390 * [taylor]: Taking taylor expansion of 1/3 in N 0.390 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.390 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.390 * [taylor]: Taking taylor expansion of N in N 0.390 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.390 * [taylor]: Taking taylor expansion of N in N 0.390 * [taylor]: Taking taylor expansion of 1.0 in N 0.392 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.392 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.392 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.392 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.392 * [taylor]: Taking taylor expansion of 1/3 in N 0.392 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.392 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.392 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.392 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.392 * [taylor]: Taking taylor expansion of N in N 0.392 * [taylor]: Taking taylor expansion of 1.0 in N 0.392 * [taylor]: Taking taylor expansion of N in N 0.392 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.392 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.392 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.392 * [taylor]: Taking taylor expansion of 1/3 in N 0.392 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.392 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.392 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.392 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.392 * [taylor]: Taking taylor expansion of N in N 0.392 * [taylor]: Taking taylor expansion of 1.0 in N 0.392 * [taylor]: Taking taylor expansion of N in N 0.394 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.394 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.394 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.394 * [taylor]: Taking taylor expansion of -1 in N 0.394 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.394 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.394 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.394 * [taylor]: Taking taylor expansion of 1/3 in N 0.394 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.394 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.394 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.394 * [taylor]: Taking taylor expansion of 1.0 in N 0.394 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.394 * [taylor]: Taking taylor expansion of N in N 0.395 * [taylor]: Taking taylor expansion of N in N 0.395 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.395 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.395 * [taylor]: Taking taylor expansion of -1 in N 0.395 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.395 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.395 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.395 * [taylor]: Taking taylor expansion of 1/3 in N 0.395 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.395 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.395 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.395 * [taylor]: Taking taylor expansion of 1.0 in N 0.395 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.395 * [taylor]: Taking taylor expansion of N in N 0.395 * [taylor]: Taking taylor expansion of N in N 0.398 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 0.398 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.398 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.398 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.398 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.398 * [taylor]: Taking taylor expansion of 1/3 in N 0.398 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.398 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.398 * [taylor]: Taking taylor expansion of N in N 0.398 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.398 * [taylor]: Taking taylor expansion of N in N 0.398 * [taylor]: Taking taylor expansion of 1.0 in N 0.399 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.399 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.399 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.399 * [taylor]: Taking taylor expansion of 1/3 in N 0.399 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.399 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.399 * [taylor]: Taking taylor expansion of N in N 0.399 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.399 * [taylor]: Taking taylor expansion of N in N 0.399 * [taylor]: Taking taylor expansion of 1.0 in N 0.401 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.401 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.401 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.401 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.401 * [taylor]: Taking taylor expansion of 1/3 in N 0.401 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.401 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.401 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.401 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.401 * [taylor]: Taking taylor expansion of N in N 0.401 * [taylor]: Taking taylor expansion of 1.0 in N 0.401 * [taylor]: Taking taylor expansion of N in N 0.401 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.401 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.401 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.401 * [taylor]: Taking taylor expansion of 1/3 in N 0.401 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.401 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.401 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.401 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.401 * [taylor]: Taking taylor expansion of N in N 0.401 * [taylor]: Taking taylor expansion of 1.0 in N 0.401 * [taylor]: Taking taylor expansion of N in N 0.403 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.403 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.403 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.403 * [taylor]: Taking taylor expansion of -1 in N 0.403 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.403 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.403 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.403 * [taylor]: Taking taylor expansion of 1/3 in N 0.403 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.403 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.403 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.403 * [taylor]: Taking taylor expansion of 1.0 in N 0.403 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.403 * [taylor]: Taking taylor expansion of N in N 0.403 * [taylor]: Taking taylor expansion of N in N 0.404 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.404 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.404 * [taylor]: Taking taylor expansion of -1 in N 0.404 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.404 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.404 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.404 * [taylor]: Taking taylor expansion of 1/3 in N 0.404 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.404 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.404 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.404 * [taylor]: Taking taylor expansion of 1.0 in N 0.404 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.404 * [taylor]: Taking taylor expansion of N in N 0.404 * [taylor]: Taking taylor expansion of N in N 0.407 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 0.407 * [approximate]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in (N) around 0 0.407 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N 0.407 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N 0.407 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N 0.407 * [taylor]: Taking taylor expansion of 1/3 in N 0.407 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N 0.408 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N 0.408 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.408 * [taylor]: Taking taylor expansion of N in N 0.408 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 0.408 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.408 * [taylor]: Taking taylor expansion of N in N 0.408 * [taylor]: Taking taylor expansion of 1.0 in N 0.408 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N 0.408 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N 0.408 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N 0.408 * [taylor]: Taking taylor expansion of 1/3 in N 0.408 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N 0.408 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N 0.408 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.408 * [taylor]: Taking taylor expansion of N in N 0.408 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 0.408 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.408 * [taylor]: Taking taylor expansion of N in N 0.408 * [taylor]: Taking taylor expansion of 1.0 in N 0.410 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in (N) around 0 0.410 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 0.410 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 0.410 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 0.410 * [taylor]: Taking taylor expansion of 1/3 in N 0.410 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 0.410 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 0.410 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 0.410 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.410 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.410 * [taylor]: Taking taylor expansion of N in N 0.410 * [taylor]: Taking taylor expansion of 1.0 in N 0.410 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.410 * [taylor]: Taking taylor expansion of N in N 0.411 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 0.411 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 0.411 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 0.411 * [taylor]: Taking taylor expansion of 1/3 in N 0.411 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 0.411 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 0.411 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 0.411 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.411 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.411 * [taylor]: Taking taylor expansion of N in N 0.411 * [taylor]: Taking taylor expansion of 1.0 in N 0.411 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.411 * [taylor]: Taking taylor expansion of N in N 0.413 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in (N) around 0 0.413 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in N 0.413 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 0.413 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.413 * [taylor]: Taking taylor expansion of -1 in N 0.413 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 0.413 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 0.413 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 0.413 * [taylor]: Taking taylor expansion of 1/3 in N 0.413 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 0.413 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 0.413 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 0.413 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.413 * [taylor]: Taking taylor expansion of 1.0 in N 0.413 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.413 * [taylor]: Taking taylor expansion of N in N 0.413 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.413 * [taylor]: Taking taylor expansion of N in N 0.414 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in N 0.414 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 0.414 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.414 * [taylor]: Taking taylor expansion of -1 in N 0.414 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 0.414 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 0.414 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 0.414 * [taylor]: Taking taylor expansion of 1/3 in N 0.414 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 0.414 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 0.414 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 0.414 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.414 * [taylor]: Taking taylor expansion of 1.0 in N 0.414 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.414 * [taylor]: Taking taylor expansion of N in N 0.414 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.414 * [taylor]: Taking taylor expansion of N in N 0.419 * * * [progress]: simplifying candidates 0.420 * [simplify]: Simplifying using # : (log (cbrt (* N (+ 1.0 N)))) (exp (cbrt (* N (+ 1.0 N)))) (cbrt N) (cbrt (+ 1.0 N)) (cbrt (* N (+ (pow 1.0 3) (pow N 3)))) (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (cbrt (* N (- (* 1.0 1.0) (* N N)))) (cbrt (- 1.0 N)) (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N))))) (cbrt (cbrt (* N (+ 1.0 N)))) (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N)))) (log (cbrt (* N (+ 1.0 N)))) (exp (cbrt (* N (+ 1.0 N)))) (cbrt N) (cbrt (+ 1.0 N)) (cbrt (* N (+ (pow 1.0 3) (pow N 3)))) (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (cbrt (* N (- (* 1.0 1.0) (* N N)))) (cbrt (- 1.0 N)) (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N))))) (cbrt (cbrt (* N (+ 1.0 N)))) (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N)))) (log (cbrt (* N (+ 1.0 N)))) (exp (cbrt (* N (+ 1.0 N)))) (cbrt N) (cbrt (+ 1.0 N)) (cbrt (* N (+ (pow 1.0 3) (pow N 3)))) (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (cbrt (* N (- (* 1.0 1.0) (* N N)))) (cbrt (- 1.0 N)) (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N))))) (cbrt (cbrt (* N (+ 1.0 N)))) (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N)))) (+ 1/3 1/3) (+ 1 1) (* (* N (+ 1.0 N)) (* N (+ 1.0 N))) (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (+ 1 1) (+ (log (cbrt (* N (+ 1.0 N)))) (log (cbrt (* N (+ 1.0 N))))) (log (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))) (exp (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))) (* (* N (+ 1.0 N)) (* N (+ 1.0 N))) (* (cbrt (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))) (cbrt (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))))) (cbrt (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))) (* (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))) (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))) (sqrt (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))) (sqrt (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))) (* (cbrt (* N (+ (pow 1.0 3) (pow N 3)))) (cbrt (* N (+ (pow 1.0 3) (pow N 3))))) (* (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N))))) (* (cbrt (* N (+ (pow 1.0 3) (pow N 3)))) (cbrt (* N (- (* 1.0 1.0) (* N N))))) (* (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (cbrt (- 1.0 N))) (* (cbrt (* N (- (* 1.0 1.0) (* N N)))) (cbrt (* N (+ (pow 1.0 3) (pow N 3))))) (* (cbrt (- 1.0 N)) (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N))))) (* (cbrt (* N (- (* 1.0 1.0) (* N N)))) (cbrt (* N (- (* 1.0 1.0) (* N N))))) (* (cbrt (- 1.0 N)) (cbrt (- 1.0 N))) (* (cbrt N) (cbrt N)) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N))))) (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N)))))) (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N))))) (* (sqrt (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N))))) (* (sqrt (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N))))) (* 1 1) (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (* (sqrt (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N))))) (* (sqrt (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N))))) (* 2 1/3) (* 2 1) (* (cbrt (* N (+ 1.0 N))) (cbrt N)) (* (cbrt (* N (+ 1.0 N))) (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N)))))) (* (cbrt (* N (+ 1.0 N))) (sqrt (cbrt (* N (+ 1.0 N))))) (* (cbrt (* N (+ 1.0 N))) 1) (* (cbrt (+ 1.0 N)) (cbrt (* N (+ 1.0 N)))) (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N)))) (* (sqrt (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N)))) (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ (pow 1.0 3) (pow N 3))))) (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (- (* 1.0 1.0) (* N N))))) (* (cbrt (* N (+ (pow 1.0 3) (pow N 3)))) (cbrt (* N (+ 1.0 N)))) (* (cbrt (* N (- (* 1.0 1.0) (* N N)))) (cbrt (* N (+ 1.0 N)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (pow N 2)))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (pow N 2)))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (pow N 2)))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (* 0.6666666666666666 (* N (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (+ (* 0.5555555555555556 (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (* 0.6666666666666666 (/ (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) (pow 1.0 2)))) (- (+ (* 0.6666666666666666 (/ (exp (* 1/3 (- (log 1) (* 4 (log (/ 1 N)))))) N)) (exp (* 1/3 (- (log 1) (* 4 (log (/ 1 N))))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 4 (log (/ 1 N)))))) (pow N 2)))) (- (+ (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log 1) (* 4 (log (/ -1 N))))))) (* 0.6666666666666666 (/ (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log 1) (* 4 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log 1) (* 4 (log (/ -1 N))))))) (pow N 2)))) 0.469 * * [simplify]: iteration 0 : 4950 enodes (cost 1066 ) 0.469 * * [simplify]: iteration 1 : 4950 enodes (cost 1066 ) 0.474 * [simplify]: Simplified to: (log (cbrt (* N (+ N 1.0)))) (exp (cbrt (* N (+ N 1.0)))) (cbrt N) (cbrt (+ N 1.0)) (cbrt (* N (+ (pow 1.0 3) (pow N 3)))) (cbrt (+ (* 1.0 1.0) (* N (- N 1.0)))) (cbrt (* N (- (* 1.0 1.0) (* N N)))) (cbrt (- 1.0 N)) (* (cbrt (cbrt (* N (+ N 1.0)))) (cbrt (cbrt (* N (+ N 1.0))))) (cbrt (cbrt (* N (+ N 1.0)))) (* N (+ N 1.0)) (sqrt (cbrt (* N (+ N 1.0)))) (sqrt (cbrt (* N (+ N 1.0)))) (log (cbrt (* N (+ N 1.0)))) (exp (cbrt (* N (+ N 1.0)))) (cbrt N) (cbrt (+ N 1.0)) (cbrt (* N (+ (pow 1.0 3) (pow N 3)))) (cbrt (+ (* 1.0 1.0) (* N (- N 1.0)))) (cbrt (* N (- (* 1.0 1.0) (* N N)))) (cbrt (- 1.0 N)) (* (cbrt (cbrt (* N (+ N 1.0)))) (cbrt (cbrt (* N (+ N 1.0))))) (cbrt (cbrt (* N (+ N 1.0)))) (* N (+ N 1.0)) (sqrt (cbrt (* N (+ N 1.0)))) (sqrt (cbrt (* N (+ N 1.0)))) (log (cbrt (* N (+ N 1.0)))) (exp (cbrt (* N (+ N 1.0)))) (cbrt N) (cbrt (+ N 1.0)) (cbrt (* N (+ (pow 1.0 3) (pow N 3)))) (cbrt (+ (* 1.0 1.0) (* N (- N 1.0)))) (cbrt (* N (- (* 1.0 1.0) (* N N)))) (cbrt (- 1.0 N)) (* (cbrt (cbrt (* N (+ N 1.0)))) (cbrt (cbrt (* N (+ N 1.0))))) (cbrt (cbrt (* N (+ N 1.0)))) (* N (+ N 1.0)) (sqrt (cbrt (* N (+ N 1.0)))) (sqrt (cbrt (* N (+ N 1.0)))) 2/3 2 (pow (cbrt (* N (+ N 1.0))) 6) (pow (cbrt (cbrt (* N (+ N 1.0)))) 6) 2 (* (log (cbrt (* N (+ N 1.0)))) 2) (* (log (cbrt (* N (+ N 1.0)))) 2) (exp (pow (cbrt (cbrt (* N (+ N 1.0)))) 6)) (pow (cbrt (* N (+ N 1.0))) 6) (* (cbrt (pow (cbrt (cbrt (* N (+ N 1.0)))) 6)) (cbrt (pow (cbrt (cbrt (* N (+ N 1.0)))) 6))) (cbrt (pow (cbrt (cbrt (* N (+ N 1.0)))) 6)) (pow (cbrt (* N (+ N 1.0))) 6) (fabs (cbrt (* N (+ N 1.0)))) (fabs (cbrt (* N (+ N 1.0)))) (* (cbrt (* N (+ (pow 1.0 3) (pow N 3)))) (cbrt (* N (+ (pow 1.0 3) (pow N 3))))) (* (cbrt (+ (* 1.0 1.0) (* N (- N 1.0)))) (cbrt (+ (* 1.0 1.0) (* N (- N 1.0))))) (* (cbrt (* N (+ (pow 1.0 3) (pow N 3)))) (cbrt (* N (- (* 1.0 1.0) (* N N))))) (* (cbrt (+ (* 1.0 1.0) (* N (- N 1.0)))) (cbrt (- 1.0 N))) (* (cbrt (* N (+ (pow 1.0 3) (pow N 3)))) (cbrt (* N (- (* 1.0 1.0) (* N N))))) (* (cbrt (+ (* 1.0 1.0) (* N (- N 1.0)))) (cbrt (- 1.0 N))) (* (cbrt (* N (- (* 1.0 1.0) (* N N)))) (cbrt (* N (- (* 1.0 1.0) (* N N))))) (* (cbrt (- 1.0 N)) (cbrt (- 1.0 N))) (pow N 2/3) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (pow (cbrt (cbrt (* N (+ N 1.0)))) 4) (* (cbrt (cbrt (* N (+ N 1.0)))) (cbrt (cbrt (* N (+ N 1.0))))) (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0))) 1 (pow (cbrt (cbrt (* N (+ N 1.0)))) 6) (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0))) 2/3 2 (* (cbrt (* N (+ N 1.0))) (cbrt N)) (pow (cbrt (cbrt (* N (+ N 1.0)))) 5) (pow (sqrt (cbrt (* N (+ N 1.0)))) 3) (cbrt (* N (+ N 1.0))) (* (cbrt (* N (+ N 1.0))) (cbrt (+ N 1.0))) (pow (cbrt (cbrt (* N (+ N 1.0)))) 4) (pow (sqrt (cbrt (* N (+ N 1.0)))) 3) (pow (cbrt (cbrt (* N (+ N 1.0)))) 6) (* (cbrt (* N (+ N 1.0))) (cbrt (* N (+ (pow 1.0 3) (pow N 3))))) (* (cbrt (* N (+ N 1.0))) (cbrt (* N (- (* 1.0 1.0) (* N N))))) (* (cbrt (* N (+ N 1.0))) (cbrt (* N (+ (pow 1.0 3) (pow N 3))))) (* (cbrt (* N (+ N 1.0))) (cbrt (* N (- (* 1.0 1.0) (* N N))))) (+ (* (cbrt (* N 1.0)) (+ (* (* N N) 0.05555555555555555) (* N 0.3333333333333333))) (- (cbrt (* N 1.0)) (* 1/6 (/ (* (* N N) (cbrt (* N 1.0))) (* 1.0 1.0))))) (+ (pow N 2/3) (* (/ (pow N 2/3) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (* (cbrt -1) (cbrt (* -1 (pow (/ -1 N) -2)))) (* (* (cbrt (* -1 (pow (/ -1 N) -2))) (/ (cbrt -1) N)) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (* (cbrt (* N 1.0)) (+ (* (* N N) 0.05555555555555555) (* N 0.3333333333333333))) (- (cbrt (* N 1.0)) (* 1/6 (/ (* (* N N) (cbrt (* N 1.0))) (* 1.0 1.0))))) (+ (pow N 2/3) (* (/ (pow N 2/3) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (* (cbrt -1) (cbrt (* -1 (pow (/ -1 N) -2)))) (* (* (cbrt (* -1 (pow (/ -1 N) -2))) (/ (cbrt -1) N)) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (* (cbrt (* N 1.0)) (+ (* (* N N) 0.05555555555555555) (* N 0.3333333333333333))) (- (cbrt (* N 1.0)) (* 1/6 (/ (* (* N N) (cbrt (* N 1.0))) (* 1.0 1.0))))) (+ (pow N 2/3) (* (/ (pow N 2/3) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (* (cbrt -1) (cbrt (* -1 (pow (/ -1 N) -2)))) (* (* (cbrt (* -1 (pow (/ -1 N) -2))) (/ (cbrt -1) N)) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (- (* (* (pow N 2/3) (cbrt 1.0)) (+ (* N 0.6666666666666666) (+ 1 (* (* N N) 0.5555555555555556)))) (* 0.6666666666666666 (/ (* (cbrt 1.0) (pow N 5/3)) (/ (* 1.0 1.0) N)))) (+ (pow N 4/3) (* (/ (pow N 4/3) N) (- 0.6666666666666666 (/ 0.1111111111111111 N)))) (+ (* (pow (cbrt -1) 2) (pow (/ -1 N) -4/3)) (* (* (pow (/ -1 N) -4/3) (/ (pow (cbrt -1) 2) N)) (- 0.6666666666666666 (/ 0.1111111111111111 N)))) 0.474 * * * [progress]: adding candidates to table 0.694 * * [progress]: iteration 4 / 4 0.694 * * * [progress]: picking best candidate 0.702 * * * * [pick]: Picked # 0.702 * * * [progress]: localizing error 0.710 * * * [progress]: generating rewritten candidates 0.710 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.712 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.713 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.719 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.723 * * * [progress]: generating series expansions 0.724 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.724 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0 0.724 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.724 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.724 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.724 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.726 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0 0.726 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.726 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.726 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.726 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.728 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0 0.728 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.728 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.728 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.728 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.730 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.730 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0 0.730 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.730 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.731 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.731 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.732 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0 0.732 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.732 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.733 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.733 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.734 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0 0.734 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.734 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.735 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.735 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.736 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.737 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.737 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.737 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.737 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.737 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.737 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.738 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.738 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.738 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.739 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.739 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.739 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.739 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.739 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.739 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.740 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.740 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.740 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.740 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.741 * * * [progress]: simplifying candidates 0.742 * [simplify]: Simplifying using # : (log (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (exp (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (* (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt 1) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (/ 1 2) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (log (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (exp (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (* (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt 1) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (/ 1 2) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (+ 1 1) (+ (log (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (log (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (log (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (exp (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (* (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (cbrt (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (cbrt (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 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N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (* (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt 1)) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 1) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (log (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (exp (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (* (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (* (* (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.781 * * [simplify]: iteration 0 : 5253 enodes (cost 989 ) 0.785 * [simplify]: Simplified to: (log (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (exp (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (pow (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 3) (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 1 (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 1/2 (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (log (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (exp (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (pow 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(atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 4) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (log (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (exp (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 4) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (pow (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) 3) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) 0.786 * * * [progress]: adding candidates to table 0.990 * [progress]: [Phase 3 of 3] Extracting. 0.990 * * [regime]: Finding splitpoints for: (# # # # # # # #) 0.991 * * * [regime-changes]: Trying 1 branch expressions: (N) 0.991 * * * * [regimes]: Trying to branch on N from (# # # # # # # #) 1.037 * * * [regime]: Found split indices: #