8.283 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.028 * * * [progress]: [2/2] Setting up program. 0.030 * [progress]: [Phase 2 of 3] Improving. 0.031 * [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 ) 0.035 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.037 * * [progress]: iteration 1 / 4 0.037 * * * [progress]: picking best candidate 0.040 * * * * [pick]: Picked # 0.040 * * * [progress]: localizing error 0.046 * * * [progress]: generating rewritten candidates 0.046 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.049 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.050 * * * [progress]: generating series expansions 0.050 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.051 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.051 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.051 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.051 * [taylor]: Taking taylor expansion of (atan N) in N 0.051 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.051 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.051 * [taylor]: Taking taylor expansion of (atan N) in N 0.051 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.051 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.051 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.051 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.051 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.051 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.052 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.052 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.052 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.052 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.052 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.052 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.052 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.052 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.053 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.053 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.053 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.053 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.053 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.053 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.053 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.053 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.053 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.053 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.053 * * * [progress]: simplifying candidates 0.054 * [simplify]: Simplifying using # : (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)) (/ (exp (atan (+ N 1.0))) (exp (atan N))) (log (- (atan (+ N 1.0)) (atan N))) (exp (- (atan (+ N 1.0)) (atan N))) (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N)))) (cbrt (- (atan (+ N 1.0)) (atan N))) (* (* (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N))) (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1.0)) (atan (+ N 1.0))) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (atan N)))) (neg (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (atan (+ N 1.0)) (atan N)) (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)) 0.118 * * [simplify]: iteration 0 : 5349 enodes (cost 236 ) 0.120 * [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)) 0.120 * * * [progress]: adding candidates to table 0.165 * * [progress]: iteration 2 / 4 0.165 * * * [progress]: picking best candidate 0.167 * * * * [pick]: Picked # 0.167 * * * [progress]: localizing error 0.173 * * * [progress]: generating rewritten candidates 0.174 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.174 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.181 * * * [progress]: generating series expansions 0.181 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.181 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.181 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.181 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.181 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.181 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.182 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.182 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.182 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.182 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.183 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.183 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 0.183 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.183 * [taylor]: Taking taylor expansion of N in N 0.183 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.183 * [taylor]: Taking taylor expansion of N in N 0.183 * [taylor]: Taking taylor expansion of 1.0 in N 0.183 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.183 * [taylor]: Taking taylor expansion of N in N 0.183 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.183 * [taylor]: Taking taylor expansion of N in N 0.183 * [taylor]: Taking taylor expansion of 1.0 in N 0.184 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 0.184 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.184 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.184 * [taylor]: Taking taylor expansion of N in N 0.184 * [taylor]: Taking taylor expansion of 1.0 in N 0.184 * [taylor]: Taking taylor expansion of N in N 0.184 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.184 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.184 * [taylor]: Taking taylor expansion of N in N 0.184 * [taylor]: Taking taylor expansion of 1.0 in N 0.184 * [taylor]: Taking taylor expansion of N in N 0.185 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 0.185 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.185 * [taylor]: Taking taylor expansion of -1 in N 0.185 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.185 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.185 * [taylor]: Taking taylor expansion of 1.0 in N 0.185 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.185 * [taylor]: Taking taylor expansion of N in N 0.185 * [taylor]: Taking taylor expansion of N in N 0.185 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.185 * [taylor]: Taking taylor expansion of -1 in N 0.185 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.185 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.185 * [taylor]: Taking taylor expansion of 1.0 in N 0.185 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.185 * [taylor]: Taking taylor expansion of N in N 0.185 * [taylor]: Taking taylor expansion of N in N 0.187 * * * [progress]: simplifying candidates 0.187 * [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)) 0.247 * * [simplify]: iteration 0 : 4907 enodes (cost 272 ) 0.247 * * [simplify]: iteration 1 : 4907 enodes (cost 272 ) 0.249 * [simplify]: Simplified to: (log (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (exp (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (* (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (pow (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) 3) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (* N (+ 1.0 N)) (log (* N (+ 1.0 N))) (log (* N (+ 1.0 N))) (pow (exp N) (+ 1.0 N)) (pow (* N (+ 1.0 N)) 3) (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N))) (pow (* N (+ 1.0 N)) 3) (sqrt (* N (+ 1.0 N))) (sqrt (* N (+ 1.0 N))) (* (sqrt N) (sqrt (+ 1.0 N))) (* (sqrt N) (sqrt (+ 1.0 N))) (* N N) (* 1.0 N) (* N N) (* 1.0 N) (* N (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (* N (sqrt (+ 1.0 N))) N N (* (+ 1.0 N) (cbrt N)) (* (+ 1.0 N) (sqrt N)) (* N (+ 1.0 N)) (+ (pow N 4) (* N (pow 1.0 3))) (- (pow N 3) (* 1.0 (* 1.0 N))) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (* N (+ 1.0 N)) (* N (+ 1.0 N)) (* N (+ 1.0 N)) 0.249 * * * [progress]: adding candidates to table 0.313 * * [progress]: iteration 3 / 4 0.313 * * * [progress]: picking best candidate 0.333 * * * * [pick]: Picked # 0.333 * * * [progress]: localizing error 0.343 * * * [progress]: generating rewritten candidates 0.343 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 0.348 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 0.353 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 0.357 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.359 * * * [progress]: generating series expansions 0.359 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 0.359 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.359 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.359 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.359 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.359 * [taylor]: Taking taylor expansion of 1/3 in N 0.359 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.359 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.359 * [taylor]: Taking taylor expansion of N in N 0.359 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.359 * [taylor]: Taking taylor expansion of N in N 0.359 * [taylor]: Taking taylor expansion of 1.0 in N 0.359 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.359 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.359 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.359 * [taylor]: Taking taylor expansion of 1/3 in N 0.359 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.359 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.359 * [taylor]: Taking taylor expansion of N in N 0.359 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.359 * [taylor]: Taking taylor expansion of N in N 0.359 * [taylor]: Taking taylor expansion of 1.0 in N 0.361 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.361 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.361 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.361 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.361 * [taylor]: Taking taylor expansion of 1/3 in N 0.361 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.361 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.361 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.361 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.361 * [taylor]: Taking taylor expansion of N in N 0.361 * [taylor]: Taking taylor expansion of 1.0 in N 0.361 * [taylor]: Taking taylor expansion of N in N 0.362 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.362 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.362 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.362 * [taylor]: Taking taylor expansion of 1/3 in N 0.362 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.362 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.362 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.362 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.362 * [taylor]: Taking taylor expansion of N in N 0.362 * [taylor]: Taking taylor expansion of 1.0 in N 0.362 * [taylor]: Taking taylor expansion of N in N 0.364 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.364 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.364 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.364 * [taylor]: Taking taylor expansion of -1 in N 0.364 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.364 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.364 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.364 * [taylor]: Taking taylor expansion of 1/3 in N 0.364 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.364 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.364 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.364 * [taylor]: Taking taylor expansion of 1.0 in N 0.364 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.364 * [taylor]: Taking taylor expansion of N in N 0.364 * [taylor]: Taking taylor expansion of N in N 0.364 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.364 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.364 * [taylor]: Taking taylor expansion of -1 in N 0.365 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.365 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.365 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.365 * [taylor]: Taking taylor expansion of 1/3 in N 0.365 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.365 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.365 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.365 * [taylor]: Taking taylor expansion of 1.0 in N 0.365 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.365 * [taylor]: Taking taylor expansion of N in N 0.365 * [taylor]: Taking taylor expansion of N in N 0.368 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 0.368 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.368 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.368 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.368 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.368 * [taylor]: Taking taylor expansion of 1/3 in N 0.368 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.368 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.368 * [taylor]: Taking taylor expansion of N in N 0.368 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.368 * [taylor]: Taking taylor expansion of N in N 0.368 * [taylor]: Taking taylor expansion of 1.0 in N 0.369 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.369 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.369 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.369 * [taylor]: Taking taylor expansion of 1/3 in N 0.369 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.369 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.369 * [taylor]: Taking taylor expansion of N in N 0.369 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.369 * [taylor]: Taking taylor expansion of N in N 0.369 * [taylor]: Taking taylor expansion of 1.0 in N 0.371 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.371 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.371 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.371 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.371 * [taylor]: Taking taylor expansion of 1/3 in N 0.371 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.371 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.371 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.371 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.371 * [taylor]: Taking taylor expansion of N in N 0.371 * [taylor]: Taking taylor expansion of 1.0 in N 0.371 * [taylor]: Taking taylor expansion of N in N 0.371 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.371 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.371 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.371 * [taylor]: Taking taylor expansion of 1/3 in N 0.371 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.371 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.371 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.371 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.371 * [taylor]: Taking taylor expansion of N in N 0.371 * [taylor]: Taking taylor expansion of 1.0 in N 0.371 * [taylor]: Taking taylor expansion of N in N 0.373 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.373 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.373 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.373 * [taylor]: Taking taylor expansion of -1 in N 0.373 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.373 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.373 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.373 * [taylor]: Taking taylor expansion of 1/3 in N 0.373 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.373 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.373 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.373 * [taylor]: Taking taylor expansion of 1.0 in N 0.373 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.373 * [taylor]: Taking taylor expansion of N in N 0.373 * [taylor]: Taking taylor expansion of N in N 0.373 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.373 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.374 * [taylor]: Taking taylor expansion of -1 in N 0.374 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.374 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.374 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.374 * [taylor]: Taking taylor expansion of 1/3 in N 0.374 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.374 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.374 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.374 * [taylor]: Taking taylor expansion of 1.0 in N 0.374 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.374 * [taylor]: Taking taylor expansion of N in N 0.374 * [taylor]: Taking taylor expansion of N in N 0.379 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 0.379 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.379 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.379 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.379 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.379 * [taylor]: Taking taylor expansion of 1/3 in N 0.379 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.379 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.379 * [taylor]: Taking taylor expansion of N in N 0.379 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.379 * [taylor]: Taking taylor expansion of N in N 0.379 * [taylor]: Taking taylor expansion of 1.0 in N 0.380 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.380 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.380 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.380 * [taylor]: Taking taylor expansion of 1/3 in N 0.380 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.380 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.380 * [taylor]: Taking taylor expansion of N in N 0.380 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.380 * [taylor]: Taking taylor expansion of N in N 0.380 * [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 0.382 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.382 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.382 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.382 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.382 * [taylor]: Taking taylor expansion of N in N 0.382 * [taylor]: Taking taylor expansion of 1.0 in N 0.382 * [taylor]: Taking taylor expansion of N in N 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 0.382 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.382 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.382 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.382 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.382 * [taylor]: Taking taylor expansion of N in N 0.382 * [taylor]: Taking taylor expansion of 1.0 in N 0.382 * [taylor]: Taking taylor expansion of N in N 0.384 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.384 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.384 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.384 * [taylor]: Taking taylor expansion of -1 in N 0.384 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.384 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.384 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.384 * [taylor]: Taking taylor expansion of 1/3 in N 0.384 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.384 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.384 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.384 * [taylor]: Taking taylor expansion of 1.0 in N 0.384 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.384 * [taylor]: Taking taylor expansion of N in N 0.384 * [taylor]: Taking taylor expansion of N in N 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 0.388 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.388 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.388 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.388 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.389 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.389 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.389 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.390 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in (N) around 0 0.390 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in N 0.390 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in N 0.391 * * * [progress]: simplifying candidates 0.392 * [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)))) (log (atan2 1.0 (+ 1 (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N))))))) (exp (atan2 1.0 (+ 1 (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N))))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N))))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N)))))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N))))))) (* (* (atan2 1.0 (+ 1 (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N)))))) (atan2 1.0 (+ 1 (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N))))))) (atan2 1.0 (+ 1 (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N))))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N))))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N))))))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (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)))) (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))) 0.428 * * [simplify]: iteration 0 : 4927 enodes (cost 595 ) 0.428 * * [simplify]: iteration 1 : 4927 enodes (cost 595 ) 0.431 * [simplify]: Simplified to: (log (cbrt (* N (+ N 1.0)))) (exp (cbrt (* N (+ N 1.0)))) (cbrt N) (cbrt (+ N 1.0)) (cbrt (+ (* N (pow 1.0 3)) (pow N 4))) (cbrt (+ (* 1.0 1.0) (* N (- N 1.0)))) (cbrt (- (* N (* 1.0 1.0)) (pow N 3))) (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 4))) (cbrt (+ (* 1.0 1.0) (* N (- N 1.0)))) (cbrt (- (* N (* 1.0 1.0)) (pow N 3))) (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 4))) (cbrt (+ (* 1.0 1.0) (* N (- N 1.0)))) (cbrt (- (* N (* 1.0 1.0)) (pow N 3))) (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 (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (exp (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (* (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (pow (atan2 1.0 (+ (* N (+ N 1.0)) 1)) 3) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (+ (* (+ (* N 0.3333333333333333) 1) (cbrt (* N 1.0))) (* (* N (* N (cbrt (* N 1.0)))) (- 0.05555555555555555 (/ 1/6 (* 1.0 1.0))))) (+ (pow N 2/3) (* (/ (pow N 2/3) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (* (cbrt -1) (cbrt (* N (neg N)))) (* (* (cbrt (* N (neg N))) (/ (cbrt -1) N)) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (* (+ (* N 0.3333333333333333) 1) (cbrt (* N 1.0))) (* (* N (* N (cbrt (* N 1.0)))) (- 0.05555555555555555 (/ 1/6 (* 1.0 1.0))))) (+ (pow N 2/3) (* (/ (pow N 2/3) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (* (cbrt -1) (cbrt (* N (neg N)))) (* (* (cbrt (* N (neg N))) (/ (cbrt -1) N)) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (* (+ (* N 0.3333333333333333) 1) (cbrt (* N 1.0))) (* (* N (* N (cbrt (* N 1.0)))) (- 0.05555555555555555 (/ 1/6 (* 1.0 1.0))))) (+ (pow N 2/3) (* (/ (pow N 2/3) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (* (cbrt -1) (cbrt (* N (neg N)))) (* (* (cbrt (* N (neg N))) (/ (cbrt -1) N)) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (atan2 1.0 (+ (* N (+ N 1.0)) 1)) (atan2 1.0 (+ (* N (+ N 1.0)) 1)) (atan2 1.0 (+ (* N (+ N 1.0)) 1)) 0.432 * * * [progress]: adding candidates to table 0.556 * * [progress]: iteration 4 / 4 0.557 * * * [progress]: picking best candidate 0.574 * * * * [pick]: Picked # 0.574 * * * [progress]: localizing error 0.588 * * * [progress]: generating rewritten candidates 0.588 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.589 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2) 0.592 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 1) 0.595 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2) 0.599 * * * [progress]: generating series expansions 0.599 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.599 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.599 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.600 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.600 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.600 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.600 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.601 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.601 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.601 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.602 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2) 0.602 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 0.602 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.602 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.602 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.602 * [taylor]: Taking taylor expansion of 1/3 in N 0.602 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.602 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.602 * [taylor]: Taking taylor expansion of N in N 0.602 * [taylor]: Taking taylor expansion of 1.0 in N 0.602 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.602 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.602 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.602 * [taylor]: Taking taylor expansion of 1/3 in N 0.602 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.602 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.602 * [taylor]: Taking taylor expansion of N in N 0.602 * [taylor]: Taking taylor expansion of 1.0 in N 0.604 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 0.604 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.604 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.604 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.604 * [taylor]: Taking taylor expansion of 1/3 in N 0.604 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.604 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.604 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.604 * [taylor]: Taking taylor expansion of N in N 0.604 * [taylor]: Taking taylor expansion of 1.0 in N 0.604 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.604 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.604 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.604 * [taylor]: Taking taylor expansion of 1/3 in N 0.604 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.604 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.604 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.604 * [taylor]: Taking taylor expansion of N in N 0.604 * [taylor]: Taking taylor expansion of 1.0 in N 0.606 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 0.606 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.606 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.606 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.606 * [taylor]: Taking taylor expansion of 1/3 in N 0.606 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.606 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.606 * [taylor]: Taking taylor expansion of 1.0 in N 0.606 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.606 * [taylor]: Taking taylor expansion of N in N 0.606 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.606 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.606 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.606 * [taylor]: Taking taylor expansion of 1/3 in N 0.606 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.606 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.606 * [taylor]: Taking taylor expansion of 1.0 in N 0.606 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.606 * [taylor]: Taking taylor expansion of N in N 0.608 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 1) 0.608 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 0.608 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.608 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.608 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.608 * [taylor]: Taking taylor expansion of 1/3 in N 0.608 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.608 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.608 * [taylor]: Taking taylor expansion of N in N 0.608 * [taylor]: Taking taylor expansion of 1.0 in N 0.608 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.608 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.608 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.608 * [taylor]: Taking taylor expansion of 1/3 in N 0.608 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.608 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.608 * [taylor]: Taking taylor expansion of N in N 0.608 * [taylor]: Taking taylor expansion of 1.0 in N 0.610 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 0.610 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.610 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.610 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.610 * [taylor]: Taking taylor expansion of 1/3 in N 0.610 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.610 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.610 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.610 * [taylor]: Taking taylor expansion of N in N 0.610 * [taylor]: Taking taylor expansion of 1.0 in N 0.610 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.610 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.610 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.610 * [taylor]: Taking taylor expansion of 1/3 in N 0.610 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.610 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.610 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.610 * [taylor]: Taking taylor expansion of N in N 0.610 * [taylor]: Taking taylor expansion of 1.0 in N 0.612 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 0.612 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.612 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.612 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.612 * [taylor]: Taking taylor expansion of 1/3 in N 0.612 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.612 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.612 * [taylor]: Taking taylor expansion of 1.0 in N 0.612 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.612 * [taylor]: Taking taylor expansion of N in N 0.612 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.612 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.612 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.612 * [taylor]: Taking taylor expansion of 1/3 in N 0.612 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.612 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.612 * [taylor]: Taking taylor expansion of 1.0 in N 0.612 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.612 * [taylor]: Taking taylor expansion of N in N 0.614 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2) 0.614 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 0.614 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.614 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.614 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.614 * [taylor]: Taking taylor expansion of 1/3 in N 0.614 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.614 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.614 * [taylor]: Taking taylor expansion of N in N 0.614 * [taylor]: Taking taylor expansion of 1.0 in N 0.614 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.614 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.614 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.614 * [taylor]: Taking taylor expansion of 1/3 in N 0.614 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.614 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.614 * [taylor]: Taking taylor expansion of N in N 0.614 * [taylor]: Taking taylor expansion of 1.0 in N 0.616 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 0.616 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.616 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.616 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.616 * [taylor]: Taking taylor expansion of 1/3 in N 0.616 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.616 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.616 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.616 * [taylor]: Taking taylor expansion of N in N 0.616 * [taylor]: Taking taylor expansion of 1.0 in N 0.616 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.616 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.616 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.616 * [taylor]: Taking taylor expansion of 1/3 in N 0.616 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.616 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.616 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.616 * [taylor]: Taking taylor expansion of N in N 0.616 * [taylor]: Taking taylor expansion of 1.0 in N 0.618 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 0.618 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.618 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.618 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.618 * [taylor]: Taking taylor expansion of 1/3 in N 0.618 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.618 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.618 * [taylor]: Taking taylor expansion of 1.0 in N 0.618 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.618 * [taylor]: Taking taylor expansion of N in N 0.618 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.618 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.618 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.618 * [taylor]: Taking taylor expansion of 1/3 in N 0.618 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.618 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.618 * [taylor]: Taking taylor expansion of 1.0 in N 0.618 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.618 * [taylor]: Taking taylor expansion of N in N 0.620 * * * [progress]: simplifying candidates 0.621 * [simplify]: Simplifying using # : (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))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (pow N 2)))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N)))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N))))) (pow N 2)))) (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (pow N 2)))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N)))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N))))) (pow N 2)))) (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (pow N 2)))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N)))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N))))) (pow N 2)))) 0.666 * * [simplify]: iteration 0 : 4912 enodes (cost 574 ) 0.666 * * [simplify]: iteration 1 : 4912 enodes (cost 574 ) 0.669 * [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))))) (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))) 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)) (* (cbrt (cbrt (+ 1.0 N))) (cbrt (cbrt (+ 1.0 N)))) (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 (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (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)) (* (cbrt (cbrt (+ 1.0 N))) (cbrt (cbrt (+ 1.0 N)))) (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 (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (cbrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) 1 (cbrt (+ 1.0 N)) 1 (cbrt (+ 1.0 N)) (cbrt (+ (pow 1.0 3) (pow N 3))) (cbrt (+ (* 1.0 1.0) (* N (- N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ 1.0 N))) (cbrt (cbrt (+ 1.0 N)))) (cbrt (cbrt (+ 1.0 N))) (+ 1.0 N) (sqrt (cbrt (+ 1.0 N))) (sqrt (cbrt (+ 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)))) (+ (* (cbrt 1.0) (+ 1 (* N (+ 0.3333333333333333 (* N 0.05555555555555555))))) (* N (* -1/6 (* N (cbrt (/ 1 (pow 1.0 5))))))) (+ (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 (* -1/6 (* N (cbrt (/ 1 (pow 1.0 5))))))) (+ (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 (* -1/6 (* N (cbrt (/ 1 (pow 1.0 5))))))) (+ (cbrt N) (* (/ (cbrt N) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (cbrt N) (* (/ (cbrt N) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) 0.670 * * * [progress]: adding candidates to table 0.811 * [progress]: [Phase 3 of 3] Extracting. 0.811 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 0.812 * * * [regime-changes]: Trying 2 branch expressions: ((- (atan (+ N 1.0)) (atan N)) N) 0.812 * * * * [regimes]: Trying to branch on (- (atan (+ N 1.0)) (atan N)) from (# # # # # # # # #) 0.864 * * * * [regimes]: Trying to branch on N from (# # # # # # # # #) 0.915 * * * [regime]: Found split indices: #