6.055 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.033 * * * [progress]: [2/2] Setting up program. 0.036 * [progress]: [Phase 2 of 3] Improving. 0.036 * [simplify]: Simplifying using # : (- (atan (+ N 1.0)) (atan N)) 0.040 * * [simplify]: iteration 0 : 71 enodes (cost 7 ) 0.040 * * [simplify]: iteration 1 : 71 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 0.049 * * * [progress]: generating rewritten candidates 0.049 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.052 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.054 * * * [progress]: generating series expansions 0.054 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.054 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.054 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.054 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.055 * [taylor]: Taking taylor expansion of (atan N) in N 0.055 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.055 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.055 * [taylor]: Taking taylor expansion of (atan N) in N 0.055 * [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 0.056 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.056 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.056 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.056 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.056 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.056 * [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 0.057 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.057 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.057 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.057 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.057 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.057 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.057 * [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 0.058 * * * [progress]: simplifying candidates 0.058 * [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)) 0.121 * * [simplify]: iteration 0 : 5349 enodes (cost 236 ) 0.123 * [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)) 0.123 * * * [progress]: adding candidates to table 0.155 * * [progress]: iteration 2 / 4 0.155 * * * [progress]: picking best candidate 0.160 * * * * [pick]: Picked # 0.160 * * * [progress]: localizing error 0.166 * * * [progress]: generating rewritten candidates 0.166 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.167 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.173 * * * [progress]: generating series expansions 0.173 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.173 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.173 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.174 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.174 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.174 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.174 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.175 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.175 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.175 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.175 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.175 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 0.176 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.176 * [taylor]: Taking taylor expansion of N in N 0.176 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.176 * [taylor]: Taking taylor expansion of N in N 0.176 * [taylor]: Taking taylor expansion of 1.0 in N 0.176 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.176 * [taylor]: Taking taylor expansion of N in N 0.176 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.176 * [taylor]: Taking taylor expansion of N in N 0.176 * [taylor]: Taking taylor expansion of 1.0 in N 0.176 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 0.176 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.176 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.176 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.176 * [taylor]: Taking taylor expansion of N in N 0.176 * [taylor]: Taking taylor expansion of 1.0 in N 0.177 * [taylor]: Taking taylor expansion of N in N 0.177 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.177 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.177 * [taylor]: Taking taylor expansion of N in N 0.177 * [taylor]: Taking taylor expansion of 1.0 in N 0.177 * [taylor]: Taking taylor expansion of N in N 0.178 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 0.178 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.178 * [taylor]: Taking taylor expansion of -1 in N 0.178 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.178 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.178 * [taylor]: Taking taylor expansion of 1.0 in N 0.178 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.178 * [taylor]: Taking taylor expansion of N in N 0.178 * [taylor]: Taking taylor expansion of N in N 0.178 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.178 * [taylor]: Taking taylor expansion of -1 in N 0.178 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.178 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.178 * [taylor]: Taking taylor expansion of 1.0 in N 0.178 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.178 * [taylor]: Taking taylor expansion of N in N 0.178 * [taylor]: Taking taylor expansion of N in N 0.180 * * * [progress]: simplifying candidates 0.180 * [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)) 0.239 * * [simplify]: iteration 0 : 4907 enodes (cost 272 ) 0.239 * * [simplify]: iteration 1 : 4907 enodes (cost 272 ) 0.241 * [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)) 0.241 * * * [progress]: adding candidates to table 0.287 * * [progress]: iteration 3 / 4 0.288 * * * [progress]: picking best candidate 0.297 * * * * [pick]: Picked # 0.297 * * * [progress]: localizing error 0.307 * * * [progress]: generating rewritten candidates 0.307 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 0.312 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 0.316 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 0.320 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 0.328 * * * [progress]: generating series expansions 0.328 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 0.328 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.329 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.329 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.329 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.329 * [taylor]: Taking taylor expansion of 1/3 in N 0.329 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.329 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.329 * [taylor]: Taking taylor expansion of N in N 0.329 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.329 * [taylor]: Taking taylor expansion of N in N 0.329 * [taylor]: Taking taylor expansion of 1.0 in N 0.329 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.329 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.329 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.329 * [taylor]: Taking taylor expansion of 1/3 in N 0.329 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.329 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.329 * [taylor]: Taking taylor expansion of N in N 0.329 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.329 * [taylor]: Taking taylor expansion of N in N 0.329 * [taylor]: Taking taylor expansion of 1.0 in N 0.331 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.331 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.331 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.331 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.331 * [taylor]: Taking taylor expansion of 1/3 in N 0.331 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.331 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.331 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.331 * [taylor]: Taking taylor expansion of N in N 0.331 * [taylor]: Taking taylor expansion of 1.0 in N 0.331 * [taylor]: Taking taylor expansion of N in N 0.331 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.331 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.331 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.331 * [taylor]: Taking taylor expansion of 1/3 in N 0.332 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.332 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.332 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.332 * [taylor]: Taking taylor expansion of N in N 0.332 * [taylor]: Taking taylor expansion of 1.0 in N 0.332 * [taylor]: Taking taylor expansion of N in N 0.333 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.333 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.333 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.333 * [taylor]: Taking taylor expansion of -1 in N 0.333 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.334 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.334 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.334 * [taylor]: Taking taylor expansion of 1/3 in N 0.334 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.334 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.334 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.334 * [taylor]: Taking taylor expansion of 1.0 in N 0.334 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.334 * [taylor]: Taking taylor expansion of N in N 0.334 * [taylor]: Taking taylor expansion of N in N 0.334 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.334 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.334 * [taylor]: Taking taylor expansion of -1 in N 0.334 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.334 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.334 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.334 * [taylor]: Taking taylor expansion of 1/3 in N 0.334 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.334 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.334 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.334 * [taylor]: Taking taylor expansion of 1.0 in N 0.334 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.334 * [taylor]: Taking taylor expansion of N in N 0.334 * [taylor]: Taking taylor expansion of N in N 0.337 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 0.337 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.337 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.337 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.337 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.337 * [taylor]: Taking taylor expansion of 1/3 in N 0.337 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.337 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.337 * [taylor]: Taking taylor expansion of N in N 0.337 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.337 * [taylor]: Taking taylor expansion of N in N 0.338 * [taylor]: Taking taylor expansion of 1.0 in N 0.338 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.338 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.338 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.338 * [taylor]: Taking taylor expansion of 1/3 in N 0.338 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.338 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.338 * [taylor]: Taking taylor expansion of N in N 0.338 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.338 * [taylor]: Taking taylor expansion of N in N 0.338 * [taylor]: Taking taylor expansion of 1.0 in N 0.340 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.340 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.340 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.340 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.340 * [taylor]: Taking taylor expansion of 1/3 in N 0.340 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.340 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.340 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 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 1.0 in N 0.340 * [taylor]: Taking taylor expansion of N in N 0.340 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.340 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.340 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.340 * [taylor]: Taking taylor expansion of 1/3 in N 0.340 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.340 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.340 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 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 1.0 in N 0.340 * [taylor]: Taking taylor expansion of N in N 0.342 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.342 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.342 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.342 * [taylor]: Taking taylor expansion of -1 in N 0.342 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.342 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.342 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.342 * [taylor]: Taking taylor expansion of 1/3 in N 0.342 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.342 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) 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 N in N 0.343 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.343 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.343 * [taylor]: Taking taylor expansion of -1 in N 0.343 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.343 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.343 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.343 * [taylor]: Taking taylor expansion of 1/3 in N 0.343 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.343 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) 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 N in N 0.346 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 0.346 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.346 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.346 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.346 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.346 * [taylor]: Taking taylor expansion of 1/3 in N 0.346 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.346 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.346 * [taylor]: Taking taylor expansion of N in N 0.346 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.346 * [taylor]: Taking taylor expansion of N in N 0.346 * [taylor]: Taking taylor expansion of 1.0 in N 0.346 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.346 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.347 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.347 * [taylor]: Taking taylor expansion of 1/3 in N 0.347 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.347 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.347 * [taylor]: Taking taylor expansion of N in N 0.347 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.347 * [taylor]: Taking taylor expansion of N in N 0.347 * [taylor]: Taking taylor expansion of 1.0 in N 0.348 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.348 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.348 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.348 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.348 * [taylor]: Taking taylor expansion of 1/3 in N 0.348 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.349 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.349 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.349 * [taylor]: Taking taylor expansion of N in N 0.349 * [taylor]: Taking taylor expansion of 1.0 in N 0.349 * [taylor]: Taking taylor expansion of N in N 0.349 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.349 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.349 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.349 * [taylor]: Taking taylor expansion of 1/3 in N 0.349 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.349 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.349 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.349 * [taylor]: Taking taylor expansion of N in N 0.349 * [taylor]: Taking taylor expansion of 1.0 in N 0.349 * [taylor]: Taking taylor expansion of N in N 0.351 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.351 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.351 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.351 * [taylor]: Taking taylor expansion of -1 in N 0.351 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.351 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.351 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.351 * [taylor]: Taking taylor expansion of 1/3 in N 0.351 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.351 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.351 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.351 * [taylor]: Taking taylor expansion of 1.0 in N 0.351 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.351 * [taylor]: Taking taylor expansion of N in N 0.351 * [taylor]: Taking taylor expansion of N in N 0.351 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.351 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.351 * [taylor]: Taking taylor expansion of -1 in N 0.351 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.351 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.351 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.351 * [taylor]: Taking taylor expansion of 1/3 in N 0.351 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.351 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.351 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.352 * [taylor]: Taking taylor expansion of 1.0 in N 0.352 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.352 * [taylor]: Taking taylor expansion of N in N 0.352 * [taylor]: Taking taylor expansion of N in N 0.357 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 0.357 * [approximate]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in (N) around 0 0.357 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N 0.357 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N 0.357 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N 0.357 * [taylor]: Taking taylor expansion of 1/3 in N 0.357 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N 0.357 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N 0.357 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.357 * [taylor]: Taking taylor expansion of N in N 0.357 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 0.357 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.357 * [taylor]: Taking taylor expansion of N in N 0.357 * [taylor]: Taking taylor expansion of 1.0 in N 0.357 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N 0.357 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N 0.357 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N 0.357 * [taylor]: Taking taylor expansion of 1/3 in N 0.357 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N 0.357 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N 0.358 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.358 * [taylor]: Taking taylor expansion of N in N 0.358 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 0.358 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.358 * [taylor]: Taking taylor expansion of N in N 0.358 * [taylor]: Taking taylor expansion of 1.0 in N 0.360 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in (N) around 0 0.360 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 0.360 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 0.360 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 0.360 * [taylor]: Taking taylor expansion of 1/3 in N 0.360 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 0.360 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 0.360 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 0.360 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.360 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.360 * [taylor]: Taking taylor expansion of N in N 0.360 * [taylor]: Taking taylor expansion of 1.0 in N 0.360 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.360 * [taylor]: Taking taylor expansion of N in N 0.360 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 0.360 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 0.360 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 0.360 * [taylor]: Taking taylor expansion of 1/3 in N 0.360 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 0.360 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 0.360 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 0.360 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.360 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.360 * [taylor]: Taking taylor expansion of N in N 0.360 * [taylor]: Taking taylor expansion of 1.0 in N 0.360 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.360 * [taylor]: Taking taylor expansion of N in N 0.362 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in (N) around 0 0.362 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in N 0.362 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 0.362 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.362 * [taylor]: Taking taylor expansion of -1 in N 0.362 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 0.362 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 0.363 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 0.363 * [taylor]: Taking taylor expansion of 1/3 in N 0.363 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 0.363 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 0.363 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 0.363 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.363 * [taylor]: Taking taylor expansion of 1.0 in N 0.363 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.363 * [taylor]: Taking taylor expansion of N in N 0.363 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.363 * [taylor]: Taking taylor expansion of N in N 0.363 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in N 0.363 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 0.363 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.363 * [taylor]: Taking taylor expansion of -1 in N 0.363 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 0.363 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 0.363 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 0.363 * [taylor]: Taking taylor expansion of 1/3 in N 0.363 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 0.363 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 0.363 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 0.363 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.363 * [taylor]: Taking taylor expansion of 1.0 in N 0.363 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.363 * [taylor]: Taking taylor expansion of N in N 0.363 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.363 * [taylor]: Taking taylor expansion of N in N 0.368 * * * [progress]: simplifying candidates 0.369 * [simplify]: Simplifying using # : (log (cbrt (* N (+ 1.0 N)))) (exp (cbrt (* N (+ 1.0 N)))) (cbrt N) (cbrt (+ 1.0 N)) (cbrt (* N (+ (pow 1.0 3) (pow N 3)))) (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (cbrt (* N (- (* 1.0 1.0) (* N N)))) (cbrt (- 1.0 N)) (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N))))) (cbrt (cbrt (* N (+ 1.0 N)))) (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N)))) (log (cbrt (* N (+ 1.0 N)))) (exp (cbrt (* N (+ 1.0 N)))) (cbrt N) (cbrt (+ 1.0 N)) (cbrt (* N (+ (pow 1.0 3) (pow N 3)))) (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (cbrt (* N (- (* 1.0 1.0) (* N N)))) (cbrt (- 1.0 N)) (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N))))) (cbrt (cbrt (* N (+ 1.0 N)))) (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N)))) (log (cbrt (* N (+ 1.0 N)))) (exp (cbrt (* N (+ 1.0 N)))) (cbrt N) (cbrt (+ 1.0 N)) (cbrt (* N (+ (pow 1.0 3) (pow N 3)))) (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (cbrt (* N (- (* 1.0 1.0) (* N N)))) (cbrt (- 1.0 N)) (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N))))) (cbrt (cbrt (* N (+ 1.0 N)))) (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N)))) (+ 1/3 1/3) (+ 1 1) (* (* N (+ 1.0 N)) (* N (+ 1.0 N))) (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (+ 1 1) (+ (log (cbrt (* N (+ 1.0 N)))) (log (cbrt (* N (+ 1.0 N))))) (log (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))) (exp (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))) (* (* N (+ 1.0 N)) (* N (+ 1.0 N))) (* (cbrt (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))) (cbrt (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))))) (cbrt (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))) (* (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))) (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))) (sqrt (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))) (sqrt (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))) (* (cbrt (* N (+ (pow 1.0 3) (pow N 3)))) (cbrt (* N (+ (pow 1.0 3) (pow N 3))))) (* (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N))))) (* (cbrt (* N (+ (pow 1.0 3) (pow N 3)))) (cbrt (* N (- (* 1.0 1.0) (* N N))))) (* (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (cbrt (- 1.0 N))) (* (cbrt (* N (- (* 1.0 1.0) (* N N)))) (cbrt (* N (+ (pow 1.0 3) (pow N 3))))) (* (cbrt (- 1.0 N)) (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N))))) (* (cbrt (* N (- (* 1.0 1.0) (* N N)))) (cbrt (* N (- (* 1.0 1.0) (* N N))))) (* (cbrt (- 1.0 N)) (cbrt (- 1.0 N))) (* (cbrt N) (cbrt N)) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N))))) (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N)))))) (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N))))) (* (sqrt (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N))))) (* (sqrt (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N))))) (* 1 1) (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (* (sqrt (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N))))) (* (sqrt (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N))))) (* 2 1/3) (* 2 1) (* (cbrt (* N (+ 1.0 N))) (cbrt N)) (* (cbrt (* N (+ 1.0 N))) (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N)))))) (* (cbrt (* N (+ 1.0 N))) (sqrt (cbrt (* N (+ 1.0 N))))) (* (cbrt (* N (+ 1.0 N))) 1) (* (cbrt (+ 1.0 N)) (cbrt (* N (+ 1.0 N)))) (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N)))) (* (sqrt (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N)))) (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ (pow 1.0 3) (pow N 3))))) (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (- (* 1.0 1.0) (* N N))))) (* (cbrt (* N (+ (pow 1.0 3) (pow N 3)))) (cbrt (* N (+ 1.0 N)))) (* (cbrt (* N (- (* 1.0 1.0) (* N N)))) (cbrt (* N (+ 1.0 N)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (pow N 2)))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (pow N 2)))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (pow N 2)))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (* 0.6666666666666666 (* N (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (+ (* 0.5555555555555556 (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (* 0.6666666666666666 (/ (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) (pow 1.0 2)))) (- (+ (* 0.6666666666666666 (/ (exp (* 1/3 (- (log 1) (* 4 (log (/ 1 N)))))) N)) (exp (* 1/3 (- (log 1) (* 4 (log (/ 1 N))))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 4 (log (/ 1 N)))))) (pow N 2)))) (- (+ (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log 1) (* 4 (log (/ -1 N))))))) (* 0.6666666666666666 (/ (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log 1) (* 4 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log 1) (* 4 (log (/ -1 N))))))) (pow N 2)))) 0.413 * * [simplify]: iteration 0 : 4950 enodes (cost 1066 ) 0.413 * * [simplify]: iteration 1 : 4950 enodes (cost 1066 ) 0.417 * [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)))) 2/3 2 (pow (cbrt (* N (+ N 1.0))) 6) (pow (cbrt (cbrt (* N (+ N 1.0)))) 6) 2 (* (log (cbrt (* N (+ N 1.0)))) 2) (* (log (cbrt (* N (+ N 1.0)))) 2) (exp (pow (cbrt (cbrt (* N (+ N 1.0)))) 6)) (pow (cbrt (* N (+ N 1.0))) 6) (* (cbrt (pow (cbrt (cbrt (* N (+ N 1.0)))) 6)) (cbrt (pow (cbrt (cbrt (* N (+ N 1.0)))) 6))) (cbrt (pow (cbrt (cbrt (* N (+ N 1.0)))) 6)) (pow (cbrt (* N (+ N 1.0))) 6) (fabs (cbrt (* N (+ N 1.0)))) (fabs (cbrt (* N (+ N 1.0)))) (* (cbrt (+ (* N (pow 1.0 3)) (pow N 4))) (cbrt (+ (* N (pow 1.0 3)) (pow N 4)))) (* (cbrt (+ (* 1.0 1.0) (* N (- N 1.0)))) (cbrt (+ (* 1.0 1.0) (* N (- N 1.0))))) (* (cbrt (+ (* N (pow 1.0 3)) (pow N 4))) (cbrt (- (* N (* 1.0 1.0)) (pow N 3)))) (* (cbrt (+ (* 1.0 1.0) (* N (- N 1.0)))) (cbrt (- 1.0 N))) (* (cbrt (+ (* N (pow 1.0 3)) (pow N 4))) (cbrt (- (* N (* 1.0 1.0)) (pow N 3)))) (* (cbrt (+ (* 1.0 1.0) (* N (- N 1.0)))) (cbrt (- 1.0 N))) (* (cbrt (- (* N (* 1.0 1.0)) (pow N 3))) (cbrt (- (* N (* 1.0 1.0)) (pow N 3)))) (* (cbrt (- 1.0 N)) (cbrt (- 1.0 N))) (pow N 2/3) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (pow (cbrt (cbrt (* N (+ N 1.0)))) 4) (* (cbrt (cbrt (* N (+ N 1.0)))) (cbrt (cbrt (* N (+ N 1.0))))) (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0))) 1 (pow (cbrt (cbrt (* N (+ N 1.0)))) 6) (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0))) 2/3 2 (* (cbrt (* N (+ N 1.0))) (cbrt N)) (pow (cbrt (cbrt (* N (+ N 1.0)))) 5) (pow (sqrt (cbrt (* N (+ N 1.0)))) 3) (cbrt (* N (+ N 1.0))) (* (cbrt (* N (+ N 1.0))) (cbrt (+ N 1.0))) (pow (cbrt (cbrt (* N (+ N 1.0)))) 4) (pow (sqrt (cbrt (* N (+ N 1.0)))) 3) (pow (cbrt (cbrt (* N (+ N 1.0)))) 6) (* (cbrt (* N (+ N 1.0))) (cbrt (+ (* N (pow 1.0 3)) (pow N 4)))) (* (cbrt (* N (+ N 1.0))) (cbrt (- (* N (* 1.0 1.0)) (pow N 3)))) (* (cbrt (* N (+ N 1.0))) (cbrt (+ (* N (pow 1.0 3)) (pow N 4)))) (* (cbrt (* N (+ N 1.0))) (cbrt (- (* N (* 1.0 1.0)) (pow N 3)))) (+ (cbrt (* N 1.0)) (+ (* (cbrt (* N 1.0)) (+ (* N (* N 0.05555555555555555)) (* N 0.3333333333333333))) (* (* (* N N) (/ (cbrt (* N 1.0)) (* 1.0 1.0))) -1/6))) (+ (pow N 2/3) (* (/ (pow N 2/3) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (* (cbrt -1) (cbrt (* -1 (pow (/ -1 N) -2)))) (* (* (cbrt (* -1 (pow (/ -1 N) -2))) (/ (cbrt -1) N)) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (cbrt (* N 1.0)) (+ (* (cbrt (* N 1.0)) (+ (* N (* N 0.05555555555555555)) (* N 0.3333333333333333))) (* (* (* N N) (/ (cbrt (* N 1.0)) (* 1.0 1.0))) -1/6))) (+ (pow N 2/3) (* (/ (pow N 2/3) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (* (cbrt -1) (cbrt (* -1 (pow (/ -1 N) -2)))) (* (* (cbrt (* -1 (pow (/ -1 N) -2))) (/ (cbrt -1) N)) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (cbrt (* N 1.0)) (+ (* (cbrt (* N 1.0)) (+ (* N (* N 0.05555555555555555)) (* N 0.3333333333333333))) (* (* (* N N) (/ (cbrt (* N 1.0)) (* 1.0 1.0))) -1/6))) (+ (pow N 2/3) (* (/ (pow N 2/3) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (* (cbrt -1) (cbrt (* -1 (pow (/ -1 N) -2)))) (* (* (cbrt (* -1 (pow (/ -1 N) -2))) (/ (cbrt -1) N)) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (- (* (* (pow N 2/3) (cbrt 1.0)) (+ (* N 0.6666666666666666) (+ 1 (* N (* N 0.5555555555555556))))) (* 0.6666666666666666 (* (/ N 1.0) (/ (* (cbrt 1.0) (pow N 5/3)) 1.0)))) (+ (pow N 4/3) (* (/ (pow N 4/3) N) (- 0.6666666666666666 (/ 0.1111111111111111 N)))) (+ (* (pow (cbrt -1) 2) (pow (/ -1 N) -4/3)) (* (* (pow (/ -1 N) -4/3) (/ (pow (cbrt -1) 2) N)) (- 0.6666666666666666 (/ 0.1111111111111111 N)))) 0.418 * * * [progress]: adding candidates to table 0.607 * * [progress]: iteration 4 / 4 0.607 * * * [progress]: picking best candidate 0.612 * * * * [pick]: Picked # 0.612 * * * [progress]: localizing error 0.624 * * * [progress]: generating rewritten candidates 0.624 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.625 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.626 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.632 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.635 * * * [progress]: generating series expansions 0.635 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.635 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0 0.635 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.635 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.636 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.636 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.637 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0 0.637 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.637 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.637 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.638 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.639 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0 0.639 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.639 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.640 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.640 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.641 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.641 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0 0.641 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.641 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.642 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.642 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.643 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0 0.643 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.643 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.644 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.644 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.645 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0 0.645 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.645 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.646 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.646 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.647 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.647 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.647 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.648 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.648 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.648 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.648 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.649 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.649 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.649 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.650 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.650 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.650 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.650 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.650 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.650 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.650 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.651 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.651 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.651 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.652 * * * [progress]: simplifying candidates 0.653 * [simplify]: Simplifying using # : (log (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (exp (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (* (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt 1) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (/ 1 2) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (log (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (exp (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (* (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt 1) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (/ 1 2) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (+ 1 1) (+ (log (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (log (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (log (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (exp (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (* (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (cbrt (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (cbrt (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (cbrt (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (* (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (sqrt (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (* (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (sqrt (* (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (sqrt (* (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (* (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* 1 1) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (* (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))))) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt 1)) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 1) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (log (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (exp (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (* (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (* (* (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.693 * * [simplify]: iteration 0 : 5253 enodes (cost 989 ) 0.697 * [simplify]: Simplified to: (log (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (exp (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (pow (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 3) (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 1 (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 1/2 (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (log (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (exp (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (pow (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 3) (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 1 (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 1/2 (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 1 1 2 1 1 (pow (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 4) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (pow (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 4) 2 (log (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (log (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (exp (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (pow (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) 3) (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 4) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (pow (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) 3) (pow (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 4) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 4) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 4) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 1 (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 1 (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) 1 2 1 (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 5) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (fabs (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 4) (* (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))))) (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 3) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (log (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (exp (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) 4) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (pow (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) 3) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) 0.698 * * * [progress]: adding candidates to table 0.805 * [progress]: [Phase 3 of 3] Extracting. 0.805 * * [regime]: Finding splitpoints for: (# # # # # #) 0.806 * * * [regime-changes]: Trying 2 branch expressions: ((- (atan (+ N 1.0)) (atan N)) N) 0.806 * * * * [regimes]: Trying to branch on (- (atan (+ N 1.0)) (atan N)) from (# # # # # #) 0.847 * * * * [regimes]: Trying to branch on N from (# # # # # #) 0.885 * * * [regime]: Found split indices: #