7.044 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.032 * * * [progress]: [2/2] Setting up program. 0.035 * [progress]: [Phase 2 of 3] Improving. 0.035 * [simplify]: Simplifying using # : (- (atan (+ N 1.0)) (atan N)) 0.040 * * [simplify]: iteration 0 : 77 enodes (cost 7 ) 0.040 * * [simplify]: iteration 1 : 77 enodes (cost 7 ) 0.040 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.040 * * [progress]: iteration 1 / 4 0.040 * * * [progress]: picking best candidate 0.043 * * * * [pick]: Picked # 0.043 * * * [progress]: localizing error 0.048 * * * [progress]: generating rewritten candidates 0.048 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.051 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.053 * * * [progress]: generating series expansions 0.053 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.053 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.053 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.053 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.054 * [taylor]: Taking taylor expansion of (atan N) in N 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 0.054 * [taylor]: Taking taylor expansion of (atan N) in N 0.055 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.055 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.055 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.055 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.055 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.055 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.055 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.055 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.056 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.056 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.056 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.056 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.056 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.056 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.056 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.056 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.056 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.056 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.056 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.056 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.057 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.057 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.057 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.057 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.057 * * * [progress]: simplifying candidates 0.057 * [simplify]: Simplifying using # : (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)) (/ (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)) 0.099 * * [simplify]: iteration 0 : 5254 enodes (cost 236 ) 0.100 * [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)) 0.101 * * * [progress]: adding candidates to table 0.136 * * [progress]: iteration 2 / 4 0.136 * * * [progress]: picking best candidate 0.144 * * * * [pick]: Picked # 0.144 * * * [progress]: localizing error 0.149 * * * [progress]: generating rewritten candidates 0.149 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.150 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 0.156 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.160 * * * [progress]: generating series expansions 0.160 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.160 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.160 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.161 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.161 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.161 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.161 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.162 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.162 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.162 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.162 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 0.162 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 0.162 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.162 * [taylor]: Taking taylor expansion of N in N 0.162 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.163 * [taylor]: Taking taylor expansion of N in N 0.163 * [taylor]: Taking taylor expansion of 1.0 in N 0.163 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.163 * [taylor]: Taking taylor expansion of N in N 0.163 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.163 * [taylor]: Taking taylor expansion of N in N 0.163 * [taylor]: Taking taylor expansion of 1.0 in N 0.163 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 0.163 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.163 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.163 * [taylor]: Taking taylor expansion of N in N 0.163 * [taylor]: Taking taylor expansion of 1.0 in N 0.163 * [taylor]: Taking taylor expansion of N in N 0.164 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.164 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.164 * [taylor]: Taking taylor expansion of N in N 0.164 * [taylor]: Taking taylor expansion of 1.0 in N 0.164 * [taylor]: Taking taylor expansion of N in N 0.165 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 0.165 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.165 * [taylor]: Taking taylor expansion of -1 in N 0.165 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.165 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.165 * [taylor]: Taking taylor expansion of 1.0 in N 0.165 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.165 * [taylor]: Taking taylor expansion of N in N 0.165 * [taylor]: Taking taylor expansion of N in N 0.165 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.165 * [taylor]: Taking taylor expansion of -1 in N 0.165 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.165 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.165 * [taylor]: Taking taylor expansion of 1.0 in N 0.165 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.165 * [taylor]: Taking taylor expansion of N in N 0.165 * [taylor]: Taking taylor expansion of N in N 0.167 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.167 * [approximate]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in (N) around 0 0.167 * [taylor]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in N 0.167 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.167 * [taylor]: Taking taylor expansion of N in N 0.167 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 0.167 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.167 * [taylor]: Taking taylor expansion of 1.0 in N 0.167 * [taylor]: Taking taylor expansion of N in N 0.167 * [taylor]: Taking taylor expansion of 1 in N 0.167 * [taylor]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in N 0.167 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.167 * [taylor]: Taking taylor expansion of N in N 0.167 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 0.167 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.167 * [taylor]: Taking taylor expansion of 1.0 in N 0.167 * [taylor]: Taking taylor expansion of N in N 0.167 * [taylor]: Taking taylor expansion of 1 in N 0.167 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in (N) around 0 0.167 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in N 0.167 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.167 * [taylor]: Taking taylor expansion of 1.0 in N 0.167 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.167 * [taylor]: Taking taylor expansion of N in N 0.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.167 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.167 * [taylor]: Taking taylor expansion of N in N 0.168 * [taylor]: Taking taylor expansion of 1 in N 0.168 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in N 0.168 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.168 * [taylor]: Taking taylor expansion of 1.0 in N 0.168 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.168 * [taylor]: Taking taylor expansion of N in N 0.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.168 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.168 * [taylor]: Taking taylor expansion of N in N 0.168 * [taylor]: Taking taylor expansion of 1 in N 0.168 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in (N) around 0 0.168 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N 0.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.168 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.168 * [taylor]: Taking taylor expansion of N in N 0.168 * [taylor]: Taking taylor expansion of 1 in N 0.168 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.168 * [taylor]: Taking taylor expansion of 1.0 in N 0.168 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.168 * [taylor]: Taking taylor expansion of N in N 0.168 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N 0.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.169 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.169 * [taylor]: Taking taylor expansion of N in N 0.169 * [taylor]: Taking taylor expansion of 1 in N 0.169 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.169 * [taylor]: Taking taylor expansion of 1.0 in N 0.169 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.169 * [taylor]: Taking taylor expansion of N in N 0.169 * * * [progress]: simplifying candidates 0.170 * [simplify]: Simplifying using # : (log (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (exp (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (* (cbrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (cbrt (atan2 1.0 (+ 1 (* N (+ N 1.0)))))) (cbrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (* (* (atan2 1.0 (+ 1 (* N (+ N 1.0)))) (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (sqrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (sqrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (* N (+ N 1.0)) (+ (log N) (log (+ N 1.0))) (log (* N (+ N 1.0))) (exp (* N (+ N 1.0))) (* (* (* N N) N) (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0))) (* (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0)))) (cbrt (* N (+ N 1.0))) (* (* (* N (+ N 1.0)) (* N (+ N 1.0))) (* N (+ N 1.0))) (sqrt (* N (+ N 1.0))) (sqrt (* N (+ N 1.0))) (* (sqrt N) (sqrt (+ N 1.0))) (* (sqrt N) (sqrt (+ N 1.0))) (* N N) (* N 1.0) (* N N) (* 1.0 N) (* N (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* N (sqrt (+ N 1.0))) (* N 1) (* N 1) (* (cbrt N) (+ N 1.0)) (* (sqrt N) (+ N 1.0)) (* N (+ N 1.0)) (* N (+ (pow N 3) (pow 1.0 3))) (* N (- (* N N) (* 1.0 1.0))) (* (exp 1) (exp (* N (+ N 1.0)))) (log (+ 1 (* N (+ N 1.0)))) (exp (+ 1 (* N (+ N 1.0)))) (* (cbrt (+ 1 (* N (+ N 1.0)))) (cbrt (+ 1 (* N (+ N 1.0))))) (cbrt (+ 1 (* N (+ N 1.0)))) (* (* (+ 1 (* N (+ N 1.0))) (+ 1 (* N (+ N 1.0)))) (+ 1 (* N (+ N 1.0)))) (sqrt (+ 1 (* N (+ N 1.0)))) (sqrt (+ 1 (* N (+ N 1.0)))) (+ (pow 1 3) (pow (* N (+ N 1.0)) 3)) (+ (* 1 1) (- (* (* N (+ N 1.0)) (* N (+ N 1.0))) (* 1 (* N (+ N 1.0))))) (- (* 1 1) (* (* N (+ N 1.0)) (* N (+ N 1.0)))) (- 1 (* N (+ N 1.0))) (+ 1 (* N N)) (+ 1 (* N N)) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (+ (* 1.0 N) 1)) (+ (pow N 2) (+ (* 1.0 N) 1)) (+ (pow N 2) (+ (* 1.0 N) 1)) 0.216 * * [simplify]: iteration 0 : 4965 enodes (cost 421 ) 0.216 * * [simplify]: iteration 1 : 4965 enodes (cost 421 ) 0.218 * [simplify]: Simplified to: (log (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (exp (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (* (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (pow (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) 3) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (* N (+ 1.0 N)) (log (* N (+ 1.0 N))) (log (* N (+ 1.0 N))) (pow (exp N) (+ 1.0 N)) (pow (* N (+ 1.0 N)) 3) (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N))) (pow (* N (+ 1.0 N)) 3) (sqrt (* N (+ 1.0 N))) (sqrt (* N (+ 1.0 N))) (* (sqrt N) (sqrt (+ 1.0 N))) (* (sqrt N) (sqrt (+ 1.0 N))) (* N N) (* 1.0 N) (* N N) (* 1.0 N) (* N (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (* N (sqrt (+ 1.0 N))) N N (* (+ 1.0 N) (cbrt N)) (* (+ 1.0 N) (sqrt N)) (* N (+ 1.0 N)) (+ (pow N 4) (* N (pow 1.0 3))) (- (pow N 3) (* N (* 1.0 1.0))) (* (pow (exp N) (+ 1.0 N)) E) (log (+ 1 (* N (+ 1.0 N)))) (* (pow (exp N) (+ 1.0 N)) E) (* (cbrt (+ 1 (* N (+ 1.0 N)))) (cbrt (+ 1 (* N (+ 1.0 N))))) (cbrt (+ 1 (* N (+ 1.0 N)))) (pow (+ 1 (* N (+ 1.0 N))) 3) (sqrt (+ 1 (* N (+ 1.0 N)))) (sqrt (+ 1 (* N (+ 1.0 N)))) (+ 1 (pow (* N (+ 1.0 N)) 3)) (+ 1 (* N (* (+ 1.0 N) (+ (* N (+ 1.0 N)) -1)))) (- 1 (* N (* N (* (+ 1.0 N) (+ 1.0 N))))) (- 1 (* N (+ 1.0 N))) (+ 1 (* N N)) (+ 1 (* N 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)) (+ 1 (* N (+ 1.0 N))) (+ 1 (* N (+ 1.0 N))) (+ 1 (* N (+ 1.0 N))) 0.218 * * * [progress]: adding candidates to table 0.290 * * [progress]: iteration 3 / 4 0.290 * * * [progress]: picking best candidate 0.316 * * * * [pick]: Picked # 0.316 * * * [progress]: localizing error 0.323 * * * [progress]: generating rewritten candidates 0.323 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.324 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 0.328 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.334 * * * [progress]: generating series expansions 0.334 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.334 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.334 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.335 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.335 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.335 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.335 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.336 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.336 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.336 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.336 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 0.336 * [approximate]: Taking taylor expansion of (+ (pow N 2) (* 1.0 N)) in (N) around 0 0.337 * [taylor]: Taking taylor expansion of (+ (pow N 2) (* 1.0 N)) in N 0.337 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.337 * [taylor]: Taking taylor expansion of N in N 0.337 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.337 * [taylor]: Taking taylor expansion of 1.0 in N 0.337 * [taylor]: Taking taylor expansion of N in N 0.337 * [taylor]: Taking taylor expansion of (+ (pow N 2) (* 1.0 N)) in N 0.337 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.337 * [taylor]: Taking taylor expansion of N in N 0.337 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.337 * [taylor]: Taking taylor expansion of 1.0 in N 0.337 * [taylor]: Taking taylor expansion of N in N 0.338 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (/ 1 (pow N 2))) in (N) around 0 0.338 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (/ 1 (pow N 2))) in N 0.338 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.338 * [taylor]: Taking taylor expansion of 1.0 in N 0.338 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.338 * [taylor]: Taking taylor expansion of N in N 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.338 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.338 * [taylor]: Taking taylor expansion of N in N 0.338 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (/ 1 (pow N 2))) in N 0.338 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.338 * [taylor]: Taking taylor expansion of 1.0 in N 0.338 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.338 * [taylor]: Taking taylor expansion of N in N 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.338 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.338 * [taylor]: Taking taylor expansion of N in N 0.340 * [approximate]: Taking taylor expansion of (- (/ 1 (pow N 2)) (* 1.0 (/ 1 N))) in (N) around 0 0.340 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) (* 1.0 (/ 1 N))) in N 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.340 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.340 * [taylor]: Taking taylor expansion of N in N 0.340 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.340 * [taylor]: Taking taylor expansion of 1.0 in N 0.340 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.340 * [taylor]: Taking taylor expansion of N in N 0.340 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) (* 1.0 (/ 1 N))) in N 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.340 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.340 * [taylor]: Taking taylor expansion of N in N 0.340 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.340 * [taylor]: Taking taylor expansion of 1.0 in N 0.340 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.340 * [taylor]: Taking taylor expansion of N in N 0.342 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.342 * [approximate]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in (N) around 0 0.342 * [taylor]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in N 0.342 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.342 * [taylor]: Taking taylor expansion of N in N 0.342 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 0.342 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.342 * [taylor]: Taking taylor expansion of 1.0 in N 0.342 * [taylor]: Taking taylor expansion of N in N 0.342 * [taylor]: Taking taylor expansion of 1 in N 0.342 * [taylor]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in N 0.342 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.342 * [taylor]: Taking taylor expansion of N in N 0.342 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 0.342 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.342 * [taylor]: Taking taylor expansion of 1.0 in N 0.342 * [taylor]: Taking taylor expansion of N in N 0.342 * [taylor]: Taking taylor expansion of 1 in N 0.342 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in (N) around 0 0.342 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in N 0.342 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.342 * [taylor]: Taking taylor expansion of 1.0 in N 0.342 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.342 * [taylor]: Taking taylor expansion of N in N 0.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.342 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.342 * [taylor]: Taking taylor expansion of N in N 0.342 * [taylor]: Taking taylor expansion of 1 in N 0.343 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in N 0.343 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.343 * [taylor]: Taking taylor expansion of 1.0 in N 0.343 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.343 * [taylor]: Taking taylor expansion of N in N 0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.343 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.343 * [taylor]: Taking taylor expansion of N in N 0.343 * [taylor]: Taking taylor expansion of 1 in N 0.343 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in (N) around 0 0.343 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N 0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.343 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.343 * [taylor]: Taking taylor expansion of N in N 0.343 * [taylor]: Taking taylor expansion of 1 in N 0.343 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.343 * [taylor]: Taking taylor expansion of 1.0 in N 0.343 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.343 * [taylor]: Taking taylor expansion of N in N 0.343 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N 0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.343 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.344 * [taylor]: Taking taylor expansion of N in N 0.344 * [taylor]: Taking taylor expansion of 1 in N 0.344 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.344 * [taylor]: Taking taylor expansion of 1.0 in N 0.344 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.344 * [taylor]: Taking taylor expansion of N in N 0.344 * * * [progress]: simplifying candidates 0.345 * [simplify]: Simplifying using # : (log (atan2 1.0 (+ 1 (+ (* N N) (* 1.0 N))))) (exp (atan2 1.0 (+ 1 (+ (* N N) (* 1.0 N))))) (* (cbrt (atan2 1.0 (+ 1 (+ (* N N) (* 1.0 N))))) (cbrt (atan2 1.0 (+ 1 (+ (* N N) (* 1.0 N)))))) (cbrt (atan2 1.0 (+ 1 (+ (* N N) (* 1.0 N))))) (* (* (atan2 1.0 (+ 1 (+ (* N N) (* 1.0 N)))) (atan2 1.0 (+ 1 (+ (* N N) (* 1.0 N))))) (atan2 1.0 (+ 1 (+ (* N N) (* 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (+ (* N N) (* 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (+ (* N N) (* 1.0 N))))) (* (exp (* N N)) (exp (* 1.0 N))) (log (+ (* N N) (* 1.0 N))) (exp (+ (* N N) (* 1.0 N))) (* (cbrt (+ (* N N) (* 1.0 N))) (cbrt (+ (* N N) (* 1.0 N)))) (cbrt (+ (* N N) (* 1.0 N))) (* (* (+ (* N N) (* 1.0 N)) (+ (* N N) (* 1.0 N))) (+ (* N N) (* 1.0 N))) (sqrt (+ (* N N) (* 1.0 N))) (sqrt (+ (* N N) (* 1.0 N))) (+ (pow (* N N) 3) (pow (* 1.0 N) 3)) (+ (* (* N N) (* N N)) (- (* (* 1.0 N) (* 1.0 N)) (* (* N N) (* 1.0 N)))) (- (* (* N N) (* N N)) (* (* 1.0 N) (* 1.0 N))) (- (* N N) (* 1.0 N)) (+ N 1.0) (* (exp 1) (* (exp (* N N)) (exp (* 1.0 N)))) (* (exp 1) (exp (+ (* N N) (* 1.0 N)))) (log (+ 1 (+ (* N N) (* 1.0 N)))) (exp (+ 1 (+ (* N N) (* 1.0 N)))) (* (cbrt (+ 1 (+ (* N N) (* 1.0 N)))) (cbrt (+ 1 (+ (* N N) (* 1.0 N))))) (cbrt (+ 1 (+ (* N N) (* 1.0 N)))) (* (* (+ 1 (+ (* N N) (* 1.0 N))) (+ 1 (+ (* N N) (* 1.0 N)))) (+ 1 (+ (* N N) (* 1.0 N)))) (sqrt (+ 1 (+ (* N N) (* 1.0 N)))) (sqrt (+ 1 (+ (* N N) (* 1.0 N)))) (+ (pow 1 3) (pow (+ (* N N) (* 1.0 N)) 3)) (+ (* 1 1) (- (* (+ (* N N) (* 1.0 N)) (+ (* N N) (* 1.0 N))) (* 1 (+ (* N N) (* 1.0 N))))) (- (* 1 1) (* (+ (* N N) (* 1.0 N)) (+ (* N N) (* 1.0 N)))) (- 1 (+ (* N N) (* 1.0 N))) (+ 1 (+ (* N N) (* 1.0 N))) (+ 1 (* N N)) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (+ (* 1.0 N) 1)) (+ (pow N 2) (+ (* 1.0 N) 1)) (+ (pow N 2) (+ (* 1.0 N) 1)) 0.392 * * [simplify]: iteration 0 : 5059 enodes (cost 380 ) 0.394 * [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))))) (pow (exp N) (+ 1.0 N)) (log (* N (+ 1.0 N))) (pow (exp N) (+ 1.0 N)) (* (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))) (+ (pow N 6) (pow (* 1.0 N) 3)) (+ (pow N 4) (* 1.0 (* N (* N (- 1.0 N))))) (- (pow N 4) (* 1.0 (* 1.0 (* N N)))) (* N (- N 1.0)) (+ 1.0 N) (* (pow (exp N) (+ 1.0 N)) E) (* (pow (exp N) (+ 1.0 N)) E) (log (+ 1 (* N (+ 1.0 N)))) (* (pow (exp N) (+ 1.0 N)) E) (* (cbrt (+ 1 (* N (+ 1.0 N)))) (cbrt (+ 1 (* N (+ 1.0 N))))) (cbrt (+ 1 (* N (+ 1.0 N)))) (pow (+ 1 (* N (+ 1.0 N))) 3) (sqrt (+ 1 (* N (+ 1.0 N)))) (sqrt (+ 1 (* N (+ 1.0 N)))) (+ 1 (pow (* N (+ 1.0 N)) 3)) (+ 1 (* N (* (+ 1.0 N) (+ (* N (+ 1.0 N)) -1)))) (- 1 (* N (* (* N (+ 1.0 N)) (+ 1.0 N)))) (- 1 (* N (+ 1.0 N))) (+ 1 (* N (+ 1.0 N))) (+ 1 (* N 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)) (+ 1 (* N (+ 1.0 N))) (+ 1 (* N (+ 1.0 N))) (+ 1 (* N (+ 1.0 N))) 0.394 * * * [progress]: adding candidates to table 0.437 * * [progress]: iteration 4 / 4 0.438 * * * [progress]: picking best candidate 0.460 * * * * [pick]: Picked # 0.460 * * * [progress]: localizing error 0.471 * * * [progress]: generating rewritten candidates 0.471 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 2) 0.484 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.484 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 2) 0.487 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2 1) 0.493 * * * [progress]: generating series expansions 0.493 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 2) 0.493 * [approximate]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in (N) around 0 0.493 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in N 0.493 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1.0) 2)))) in N 0.493 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1.0) 2))) in N 0.493 * [taylor]: Taking taylor expansion of 1/3 in N 0.493 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 2)) in N 0.493 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 0.493 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.493 * [taylor]: Taking taylor expansion of N in N 0.493 * [taylor]: Taking taylor expansion of 1.0 in N 0.493 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in N 0.494 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1.0) 2)))) in N 0.494 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1.0) 2))) in N 0.494 * [taylor]: Taking taylor expansion of 1/3 in N 0.494 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 2)) in N 0.494 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) 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 0.495 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in (N) around 0 0.495 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in N 0.495 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2)))) in N 0.495 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2))) in N 0.495 * [taylor]: Taking taylor expansion of 1/3 in N 0.495 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 2)) in N 0.495 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 0.495 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.495 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.495 * [taylor]: Taking taylor expansion of N in N 0.495 * [taylor]: Taking taylor expansion of 1.0 in N 0.496 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in N 0.496 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2)))) in N 0.496 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2))) in N 0.496 * [taylor]: Taking taylor expansion of 1/3 in N 0.496 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 2)) in N 0.496 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 0.496 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.496 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.496 * [taylor]: Taking taylor expansion of N in N 0.496 * [taylor]: Taking taylor expansion of 1.0 in N 0.498 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in (N) around 0 0.498 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in N 0.498 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2)))) in N 0.498 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2))) in N 0.498 * [taylor]: Taking taylor expansion of 1/3 in N 0.498 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 2)) in N 0.498 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 0.498 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.498 * [taylor]: Taking taylor expansion of 1.0 in N 0.498 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.498 * [taylor]: Taking taylor expansion of N in N 0.498 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in N 0.498 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2)))) in N 0.498 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2))) in N 0.498 * [taylor]: Taking taylor expansion of 1/3 in N 0.498 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 2)) in N 0.498 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 0.498 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.498 * [taylor]: Taking taylor expansion of 1.0 in N 0.498 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.498 * [taylor]: Taking taylor expansion of N in N 0.500 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.500 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.500 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.500 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.501 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.501 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.501 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.501 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.502 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.502 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.502 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 2) 0.502 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 0.502 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.502 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.503 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.503 * [taylor]: Taking taylor expansion of 1/3 in N 0.503 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.503 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.503 * [taylor]: Taking taylor expansion of N in N 0.503 * [taylor]: Taking taylor expansion of 1.0 in N 0.503 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.503 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.503 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.503 * [taylor]: Taking taylor expansion of 1/3 in N 0.503 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.503 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.503 * [taylor]: Taking taylor expansion of N in N 0.503 * [taylor]: Taking taylor expansion of 1.0 in N 0.504 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 0.504 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.504 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.504 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.504 * [taylor]: Taking taylor expansion of 1/3 in N 0.504 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.504 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.504 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.504 * [taylor]: Taking taylor expansion of N in N 0.504 * [taylor]: Taking taylor expansion of 1.0 in N 0.505 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.505 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.505 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.505 * [taylor]: Taking taylor expansion of 1/3 in N 0.505 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.505 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.505 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.505 * [taylor]: Taking taylor expansion of N in N 0.505 * [taylor]: Taking taylor expansion of 1.0 in N 0.506 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 0.506 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.506 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.506 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.506 * [taylor]: Taking taylor expansion of 1/3 in N 0.506 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.506 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.506 * [taylor]: Taking taylor expansion of 1.0 in N 0.506 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.506 * [taylor]: Taking taylor expansion of N in N 0.507 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.507 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.507 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.507 * [taylor]: Taking taylor expansion of 1/3 in N 0.507 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.507 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.507 * [taylor]: Taking taylor expansion of 1.0 in N 0.507 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.507 * [taylor]: Taking taylor expansion of N in N 0.508 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2 1) 0.508 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 0.508 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.508 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.508 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.508 * [taylor]: Taking taylor expansion of 1/3 in N 0.508 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.508 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.508 * [taylor]: Taking taylor expansion of N in N 0.508 * [taylor]: Taking taylor expansion of 1.0 in N 0.509 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.509 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.509 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.509 * [taylor]: Taking taylor expansion of 1/3 in N 0.509 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.509 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.509 * [taylor]: Taking taylor expansion of N in N 0.509 * [taylor]: Taking taylor expansion of 1.0 in N 0.510 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 0.510 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.510 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.510 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.510 * [taylor]: Taking taylor expansion of 1/3 in N 0.510 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.510 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.510 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.510 * [taylor]: Taking taylor expansion of N in N 0.510 * [taylor]: Taking taylor expansion of 1.0 in N 0.510 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.510 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.510 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.510 * [taylor]: Taking taylor expansion of 1/3 in N 0.510 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.510 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.510 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.511 * [taylor]: Taking taylor expansion of N in N 0.511 * [taylor]: Taking taylor expansion of 1.0 in N 0.512 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 0.512 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.512 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.512 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.512 * [taylor]: Taking taylor expansion of 1/3 in N 0.512 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.512 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.512 * [taylor]: Taking taylor expansion of 1.0 in N 0.512 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.512 * [taylor]: Taking taylor expansion of N in N 0.512 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.512 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.512 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.512 * [taylor]: Taking taylor expansion of 1/3 in N 0.512 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.512 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.512 * [taylor]: Taking taylor expansion of 1.0 in N 0.512 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.513 * [taylor]: Taking taylor expansion of N in N 0.514 * * * [progress]: simplifying candidates 0.515 * [simplify]: Simplifying using # : (+ 1/3 1/3) (+ 1 1) (* (+ 1.0 N) (+ 1.0 N)) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (+ 1 1) (+ (log (cbrt (+ 1.0 N))) (log (cbrt (+ 1.0 N)))) (log (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (exp (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (* (+ 1.0 N) (+ 1.0 N)) (* (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))))) (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (* (* (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (sqrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (sqrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (* (cbrt (+ (pow 1.0 3) (pow N 3))) (cbrt (+ (pow 1.0 3) (pow N 3)))) (* (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N))))) (* (cbrt (+ (pow 1.0 3) (pow N 3))) (cbrt (- (* 1.0 1.0) (* N N)))) (* (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (cbrt (- 1.0 N))) (* (cbrt (- (* 1.0 1.0) (* N N))) (cbrt (+ (pow 1.0 3) (pow N 3)))) (* (cbrt (- 1.0 N)) (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N))))) (* (cbrt (- (* 1.0 1.0) (* N N))) (cbrt (- (* 1.0 1.0) (* N N)))) (* (cbrt (- 1.0 N)) (cbrt (- 1.0 N))) (* (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))))) (* (cbrt (cbrt (+ 1.0 N))) (cbrt (cbrt (+ 1.0 N)))) (* (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N)))) (* (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (* (cbrt (cbrt (+ 1.0 N))) (cbrt (cbrt (+ 1.0 N)))) (* (cbrt (cbrt (+ 1.0 N))) (cbrt (cbrt (+ 1.0 N))))) (* (cbrt (cbrt (+ 1.0 N))) (cbrt (cbrt (+ 1.0 N)))) (* (sqrt (cbrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N)))) (* (sqrt (cbrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N)))) (* 1 1) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N)))) (* (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N)))) (* (cbrt (sqrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N)))) (* (cbrt (sqrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N)))) (* (sqrt (cbrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N)))) (* (sqrt (cbrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N)))) (* (sqrt (cbrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N)))) (* (sqrt (cbrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N)))) (* 2 1/3) (* 2 1) (* (cbrt (+ 1.0 N)) (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))))) (* (cbrt (+ 1.0 N)) (cbrt (sqrt (+ 1.0 N)))) (* (cbrt (+ 1.0 N)) (cbrt 1)) (* (cbrt (+ 1.0 N)) (cbrt 1)) (* (cbrt (+ 1.0 N)) (* (cbrt (cbrt (+ 1.0 N))) (cbrt (cbrt (+ 1.0 N))))) (* (cbrt (+ 1.0 N)) (sqrt (cbrt (+ 1.0 N)))) (* (cbrt (+ 1.0 N)) 1) (* (cbrt (cbrt (+ 1.0 N))) (cbrt (+ 1.0 N))) (* (cbrt (sqrt (+ 1.0 N))) (cbrt (+ 1.0 N))) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt (cbrt (+ 1.0 N))) (cbrt (+ 1.0 N))) (* (sqrt (cbrt (+ 1.0 N))) (cbrt (+ 1.0 N))) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt (+ 1.0 N)) (cbrt (+ (pow 1.0 3) (pow N 3)))) (* (cbrt (+ 1.0 N)) (cbrt (- (* 1.0 1.0) (* N N)))) (* (cbrt (+ (pow 1.0 3) (pow N 3))) (cbrt (+ 1.0 N))) (* (cbrt (- (* 1.0 1.0) (* N N))) (cbrt (+ 1.0 N))) (log (atan2 1.0 (+ 1 (* (* N (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (+ N 1.0)))))) (exp (atan2 1.0 (+ 1 (* (* N (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (+ N 1.0)))))) (* (cbrt (atan2 1.0 (+ 1 (* (* N (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (+ N 1.0)))))) (cbrt (atan2 1.0 (+ 1 (* (* N (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (+ N 1.0))))))) (cbrt (atan2 1.0 (+ 1 (* (* N (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (+ N 1.0)))))) (* (* (atan2 1.0 (+ 1 (* (* N (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (+ N 1.0))))) (atan2 1.0 (+ 1 (* (* N (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (+ N 1.0)))))) (atan2 1.0 (+ 1 (* (* N (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (+ N 1.0)))))) (sqrt (atan2 1.0 (+ 1 (* (* N (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (+ N 1.0)))))) (sqrt (atan2 1.0 (+ 1 (* (* N (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (+ N 1.0)))))) (log (cbrt (+ 1.0 N))) (exp (cbrt (+ 1.0 N))) (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (cbrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) (cbrt 1) (cbrt (+ 1.0 N)) (cbrt 1) (cbrt (+ 1.0 N)) (cbrt (+ (pow 1.0 3) (pow N 3))) (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (cbrt (- (* 1.0 1.0) (* N N))) (cbrt (- 1.0 N)) (* (cbrt (cbrt (+ 1.0 N))) (cbrt (cbrt (+ 1.0 N)))) (cbrt (cbrt (+ 1.0 N))) (* (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (cbrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N))) (log (cbrt (+ 1.0 N))) (exp (cbrt (+ 1.0 N))) (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (cbrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) (cbrt 1) (cbrt (+ 1.0 N)) (cbrt 1) (cbrt (+ 1.0 N)) (cbrt (+ (pow 1.0 3) (pow N 3))) (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (cbrt (- (* 1.0 1.0) (* N N))) (cbrt (- 1.0 N)) (* (cbrt (cbrt (+ 1.0 N))) (cbrt (cbrt (+ 1.0 N)))) (cbrt (cbrt (+ 1.0 N))) (* (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (cbrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N))) (- (+ (pow 1.0 1/3) (+ (* 0.6666666666666666 (* N (pow 1.0 1/3))) (* 0.5555555555555556 (* (pow N 2) (pow 1.0 1/3))))) (* 0.6666666666666666 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (* 0.6666666666666666 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (pow N 2)))) (- (+ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 N)))))) (* 0.6666666666666666 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 N)))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 N)))))) (pow N 2)))) (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)))) (- (+ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (pow N 2)))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N)))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N))))) (pow N 2)))) (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (pow N 2)))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N)))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N))))) (pow N 2)))) 0.563 * * [simplify]: iteration 0 : 4912 enodes (cost 998 ) 0.563 * * [simplify]: iteration 1 : 4912 enodes (cost 998 ) 0.567 * [simplify]: Simplified to: 2/3 2 (pow (cbrt (+ 1.0 N)) 6) (pow (cbrt (+ 1.0 N)) 2) 2 (* 2 (log (cbrt (+ 1.0 N)))) (* 2 (log (cbrt (+ 1.0 N)))) (exp (pow (cbrt (+ 1.0 N)) 2)) (pow (cbrt (+ 1.0 N)) 6) (* (cbrt (pow (cbrt (+ 1.0 N)) 2)) (cbrt (pow (cbrt (+ 1.0 N)) 2))) (cbrt (pow (cbrt (+ 1.0 N)) 2)) (pow (cbrt (+ 1.0 N)) 6) (fabs (cbrt (+ 1.0 N))) (fabs (cbrt (+ 1.0 N))) (* (cbrt (+ (pow 1.0 3) (pow N 3))) (cbrt (+ (pow 1.0 3) (pow N 3)))) (* (cbrt (+ (* 1.0 1.0) (* N (- N 1.0)))) (cbrt (+ (* 1.0 1.0) (* N (- N 1.0))))) (* (cbrt (+ (pow 1.0 3) (pow N 3))) (cbrt (- (* 1.0 1.0) (* N N)))) (* (cbrt (+ (* 1.0 1.0) (* N (- N 1.0)))) (cbrt (- 1.0 N))) (* (cbrt (+ (pow 1.0 3) (pow N 3))) (cbrt (- (* 1.0 1.0) (* N N)))) (* (cbrt (+ (* 1.0 1.0) (* N (- N 1.0)))) (cbrt (- 1.0 N))) (* (cbrt (- (* 1.0 1.0) (* N N))) (cbrt (- (* 1.0 1.0) (* N N)))) (* (cbrt (- 1.0 N)) (cbrt (- 1.0 N))) (* (cbrt (pow (cbrt (+ 1.0 N)) 2)) (cbrt (pow (cbrt (+ 1.0 N)) 2))) (pow (cbrt (cbrt (+ 1.0 N))) 2) (* (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N)))) (* (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N)))) 1 (pow (cbrt (+ 1.0 N)) 2) 1 (pow (cbrt (+ 1.0 N)) 2) 1 (pow (cbrt (+ 1.0 N)) 2) 1 (pow (cbrt (+ 1.0 N)) 2) (pow (cbrt (cbrt (+ 1.0 N))) 4) (pow (cbrt (cbrt (+ 1.0 N))) 2) (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)) 1 (pow (cbrt (+ 1.0 N)) 2) (* (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N)))) (* (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N)))) (* (cbrt (sqrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N)))) (* (cbrt (sqrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N)))) (* (cbrt (sqrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N)))) (* (cbrt (sqrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N)))) (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)) 2/3 2 (* (cbrt (+ 1.0 N)) (cbrt (pow (cbrt (+ 1.0 N)) 2))) (* (cbrt (+ 1.0 N)) (cbrt (sqrt (+ 1.0 N)))) (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)) (pow (cbrt (cbrt (+ 1.0 N))) 5) (pow (sqrt (cbrt (+ 1.0 N))) 3) (cbrt (+ 1.0 N)) (pow (cbrt (cbrt (+ 1.0 N))) 4) (* (cbrt (+ 1.0 N)) (cbrt (sqrt (+ 1.0 N)))) (pow (cbrt (+ 1.0 N)) 2) (pow (cbrt (+ 1.0 N)) 2) (pow (cbrt (cbrt (+ 1.0 N))) 4) (pow (sqrt (cbrt (+ 1.0 N))) 3) (pow (cbrt (+ 1.0 N)) 2) (* (cbrt (+ 1.0 N)) (cbrt (+ (pow 1.0 3) (pow N 3)))) (* (cbrt (+ 1.0 N)) (cbrt (- (* 1.0 1.0) (* N N)))) (* (cbrt (+ 1.0 N)) (cbrt (+ (pow 1.0 3) (pow N 3)))) (* (cbrt (+ 1.0 N)) (cbrt (- (* 1.0 1.0) (* N N)))) (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))))) (log (cbrt (+ 1.0 N))) (exp (cbrt (+ 1.0 N))) (cbrt (pow (cbrt (+ 1.0 N)) 2)) (cbrt (cbrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) 1 (cbrt (+ 1.0 N)) 1 (cbrt (+ 1.0 N)) (cbrt (+ (pow 1.0 3) (pow N 3))) (cbrt (+ (* 1.0 1.0) (* N (- N 1.0)))) (cbrt (- (* 1.0 1.0) (* N N))) (cbrt (- 1.0 N)) (pow (cbrt (cbrt (+ 1.0 N))) 2) (cbrt (cbrt (+ 1.0 N))) (+ 1.0 N) (sqrt (cbrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N))) (log (cbrt (+ 1.0 N))) (exp (cbrt (+ 1.0 N))) (cbrt (pow (cbrt (+ 1.0 N)) 2)) (cbrt (cbrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) 1 (cbrt (+ 1.0 N)) 1 (cbrt (+ 1.0 N)) (cbrt (+ (pow 1.0 3) (pow N 3))) (cbrt (+ (* 1.0 1.0) (* N (- N 1.0)))) (cbrt (- (* 1.0 1.0) (* N N))) (cbrt (- 1.0 N)) (pow (cbrt (cbrt (+ 1.0 N))) 2) (cbrt (cbrt (+ 1.0 N))) (+ 1.0 N) (sqrt (cbrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N))) (- (* (cbrt 1.0) (+ 1 (* N (+ 0.6666666666666666 (* N 0.5555555555555556))))) (* (* N N) (* 0.6666666666666666 (cbrt (/ 1 (pow 1.0 5)))))) (+ (cbrt (* N N)) (* (/ (cbrt (* N N)) N) (- 0.6666666666666666 (/ 0.1111111111111111 N)))) (+ (cbrt (* N N)) (* (/ (cbrt (* N N)) N) (- 0.6666666666666666 (/ 0.1111111111111111 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)))) (+ (* (cbrt 1.0) (+ 1 (* N (+ 0.3333333333333333 (* N 0.05555555555555555))))) (* (* N N) (* (cbrt (/ 1 (pow 1.0 5))) -1/6))) (+ (cbrt N) (* (/ (cbrt N) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (cbrt N) (* (/ (cbrt N) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (* (cbrt 1.0) (+ 1 (* N (+ 0.3333333333333333 (* N 0.05555555555555555))))) (* (* N N) (* (cbrt (/ 1 (pow 1.0 5))) -1/6))) (+ (cbrt N) (* (/ (cbrt N) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (cbrt N) (* (/ (cbrt N) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) 0.568 * * * [progress]: adding candidates to table 0.737 * [progress]: [Phase 3 of 3] Extracting. 0.737 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 0.739 * * * [regime-changes]: Trying 2 branch expressions: ((- (atan (+ N 1.0)) (atan N)) N) 0.739 * * * * [regimes]: Trying to branch on (- (atan (+ N 1.0)) (atan N)) from (# # # # # # # # #) 0.788 * * * * [regimes]: Trying to branch on N from (# # # # # # # # #) 0.838 * * * [regime]: Found split indices: #