6.934 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.029 * * * [progress]: [2/2] Setting up program. 0.032 * [progress]: [Phase 2 of 3] Improving. 0.032 * [simplify]: Simplifying using # : (- (atan (+ N 1.0)) (atan N)) 0.034 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.035 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.036 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.036 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.037 * * [progress]: iteration 1 / 4 0.037 * * * [progress]: picking best candidate 0.039 * * * * [pick]: Picked # 0.039 * * * [progress]: localizing error 0.044 * * * [progress]: generating rewritten candidates 0.044 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.048 * * * [progress]: generating series expansions 0.048 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.048 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.048 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.048 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.049 * [taylor]: Taking taylor expansion of (atan N) in N 0.049 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.049 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.049 * [taylor]: Taking taylor expansion of (atan N) in N 0.050 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.050 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.050 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.050 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.050 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.050 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.050 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.051 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.051 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.051 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.051 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.051 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.051 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.051 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.051 * * * [progress]: simplifying candidates 0.052 * [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)) (neg (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) 0.054 * * [simplify]: iteration 0 : 72 enodes (cost 123 ) 0.056 * * [simplify]: iteration 1 : 142 enodes (cost 114 ) 0.059 * * [simplify]: iteration 2 : 286 enodes (cost 112 ) 0.063 * * [simplify]: iteration 3 : 678 enodes (cost 111 ) 0.076 * * [simplify]: iteration 4 : 2444 enodes (cost 111 ) 0.123 * * [simplify]: iteration 5 : 5002 enodes (cost 111 ) 0.124 * [simplify]: Simplified to: 1.0 (+ 1 (* (+ N 1.0) N)) (exp (- (atan (+ N 1.0)) (atan N))) (log (- (atan (+ N 1.0)) (atan N))) (exp (- (atan (+ N 1.0)) (atan N))) (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N)))) (cbrt (- (atan (+ N 1.0)) (atan N))) (pow (- (atan (+ N 1.0)) (atan N)) 3) (sqrt (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1.0)) (+ (atan (+ N 1.0)) (atan N))) (* (atan N) (atan N))) (- 0 (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (atan (+ N 1.0)) (atan N)) (- 0 (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) 0.124 * * * [progress]: adding candidates to table 0.150 * * [progress]: iteration 2 / 4 0.150 * * * [progress]: picking best candidate 0.152 * * * * [pick]: Picked # 0.152 * * * [progress]: localizing error 0.157 * * * [progress]: generating rewritten candidates 0.157 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.158 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.164 * * * [progress]: generating series expansions 0.164 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.164 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.164 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.164 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.165 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.165 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.165 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.166 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.166 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.166 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.166 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.166 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 0.166 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.166 * [taylor]: Taking taylor expansion of N in N 0.166 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.167 * [taylor]: Taking taylor expansion of N in N 0.167 * [taylor]: Taking taylor expansion of 1.0 in N 0.167 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.167 * [taylor]: Taking taylor expansion of N in N 0.167 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.167 * [taylor]: Taking taylor expansion of N in N 0.167 * [taylor]: Taking taylor expansion of 1.0 in N 0.167 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 0.167 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.167 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.167 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.167 * [taylor]: Taking taylor expansion of N in N 0.167 * [taylor]: Taking taylor expansion of 1.0 in N 0.167 * [taylor]: Taking taylor expansion of N in N 0.168 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.168 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.168 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.168 * [taylor]: Taking taylor expansion of N in N 0.168 * [taylor]: Taking taylor expansion of 1.0 in N 0.168 * [taylor]: Taking taylor expansion of N in N 0.169 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 0.169 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.169 * [taylor]: Taking taylor expansion of -1 in N 0.169 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.169 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.169 * [taylor]: Taking taylor expansion of 1.0 in N 0.169 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.169 * [taylor]: Taking taylor expansion of N in N 0.169 * [taylor]: Taking taylor expansion of N in N 0.169 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.169 * [taylor]: Taking taylor expansion of -1 in N 0.169 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.169 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.169 * [taylor]: Taking taylor expansion of 1.0 in N 0.169 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.169 * [taylor]: Taking taylor expansion of N in N 0.169 * [taylor]: Taking taylor expansion of N in N 0.171 * * * [progress]: simplifying candidates 0.171 * [simplify]: Simplifying using # : (log (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (+ N 1.0) N) (+ (log (+ N 1.0)) (log N)) (log (* (+ N 1.0) N)) (exp (* (+ N 1.0) N)) (* (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)) (* (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (+ N 1.0) (sqrt N)) (* (+ N 1.0) 1) (* (cbrt (+ N 1.0)) N) (* (sqrt (+ N 1.0)) N) (* (+ N 1.0) N) (* (+ N 1.0) N) (* (+ (pow N 3) (pow 1.0 3)) N) (* (- (* N N) (* 1.0 1.0)) N) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) 0.174 * * [simplify]: iteration 0 : 121 enodes (cost 151 ) 0.177 * * [simplify]: iteration 1 : 432 enodes (cost 127 ) 0.186 * * [simplify]: iteration 2 : 2321 enodes (cost 127 ) 0.223 * * [simplify]: iteration 3 : 5002 enodes (cost 127 ) 0.224 * [simplify]: Simplified to: (log (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (pow (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 3) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (+ N 1.0) N) (log (* (+ N 1.0) N)) (log (* (+ N 1.0) N)) (exp (* (+ N 1.0) N)) (pow (* (+ N 1.0) N) 3) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)) (pow (* (+ N 1.0) N) 3) (sqrt (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (+ N 1.0) (sqrt N)) (+ N 1.0) (* (cbrt (+ N 1.0)) N) (* (sqrt (+ N 1.0)) N) (* (+ N 1.0) N) (* (+ N 1.0) N) (* (+ (pow N 3) (pow 1.0 3)) N) (* (- (* N N) (* 1.0 1.0)) N) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (* (+ N 1.0) N) (* (+ N 1.0) N) (* (+ N 1.0) N) 0.224 * * * [progress]: adding candidates to table 0.267 * * [progress]: iteration 3 / 4 0.267 * * * [progress]: picking best candidate 0.281 * * * * [pick]: Picked # 0.281 * * * [progress]: localizing error 0.290 * * * [progress]: generating rewritten candidates 0.290 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.290 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 0.300 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1) 0.303 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2) 0.308 * * * [progress]: generating series expansions 0.308 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.309 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.309 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.309 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.309 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.309 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.310 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.310 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.310 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.310 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.311 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 0.311 * [approximate]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in (N) around 0 0.311 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in N 0.311 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1.0) 2)))) in N 0.311 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1.0) 2))) in N 0.311 * [taylor]: Taking taylor expansion of 1/3 in N 0.311 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 2)) in N 0.311 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 0.311 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.311 * [taylor]: Taking taylor expansion of N in N 0.311 * [taylor]: Taking taylor expansion of 1.0 in N 0.311 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in N 0.311 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1.0) 2)))) in N 0.311 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1.0) 2))) in N 0.311 * [taylor]: Taking taylor expansion of 1/3 in N 0.311 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 2)) in N 0.311 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 0.311 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.311 * [taylor]: Taking taylor expansion of N in N 0.311 * [taylor]: Taking taylor expansion of 1.0 in N 0.315 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in (N) around 0 0.315 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in N 0.315 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2)))) in N 0.315 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2))) in N 0.315 * [taylor]: Taking taylor expansion of 1/3 in N 0.315 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 2)) in N 0.315 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 0.315 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.315 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.315 * [taylor]: Taking taylor expansion of N in N 0.315 * [taylor]: Taking taylor expansion of 1.0 in N 0.316 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in N 0.316 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2)))) in N 0.316 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2))) in N 0.316 * [taylor]: Taking taylor expansion of 1/3 in N 0.316 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 2)) in N 0.316 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 0.316 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.316 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.316 * [taylor]: Taking taylor expansion of N in N 0.316 * [taylor]: Taking taylor expansion of 1.0 in N 0.318 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in (N) around 0 0.318 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in N 0.318 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2)))) in N 0.318 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2))) in N 0.318 * [taylor]: Taking taylor expansion of 1/3 in N 0.318 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 2)) in N 0.318 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 0.318 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.318 * [taylor]: Taking taylor expansion of 1.0 in N 0.318 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.318 * [taylor]: Taking taylor expansion of N in N 0.318 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in N 0.318 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2)))) in N 0.318 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2))) in N 0.318 * [taylor]: Taking taylor expansion of 1/3 in N 0.318 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 2)) in N 0.318 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 0.318 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.318 * [taylor]: Taking taylor expansion of 1.0 in N 0.318 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.318 * [taylor]: Taking taylor expansion of N in N 0.320 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1) 0.320 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 0.320 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.320 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.320 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.320 * [taylor]: Taking taylor expansion of 1/3 in N 0.320 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.320 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.320 * [taylor]: Taking taylor expansion of N in N 0.320 * [taylor]: Taking taylor expansion of 1.0 in N 0.320 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.320 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.320 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.320 * [taylor]: Taking taylor expansion of 1/3 in N 0.320 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.320 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.320 * [taylor]: Taking taylor expansion of N in N 0.320 * [taylor]: Taking taylor expansion of 1.0 in N 0.322 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 0.322 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.322 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.322 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.322 * [taylor]: Taking taylor expansion of 1/3 in N 0.322 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.322 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.322 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.322 * [taylor]: Taking taylor expansion of N in N 0.322 * [taylor]: Taking taylor expansion of 1.0 in N 0.322 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.322 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.322 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.322 * [taylor]: Taking taylor expansion of 1/3 in N 0.322 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.322 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.322 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.322 * [taylor]: Taking taylor expansion of N in N 0.322 * [taylor]: Taking taylor expansion of 1.0 in N 0.324 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 0.324 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.324 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.324 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.324 * [taylor]: Taking taylor expansion of 1/3 in N 0.324 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.324 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.324 * [taylor]: Taking taylor expansion of 1.0 in N 0.324 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.324 * [taylor]: Taking taylor expansion of N in N 0.324 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.324 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.324 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.324 * [taylor]: Taking taylor expansion of 1/3 in N 0.325 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.325 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.325 * [taylor]: Taking taylor expansion of 1.0 in N 0.325 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.325 * [taylor]: Taking taylor expansion of N in N 0.326 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2) 0.326 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 0.326 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.326 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.327 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.327 * [taylor]: Taking taylor expansion of 1/3 in N 0.327 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.327 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.327 * [taylor]: Taking taylor expansion of N in N 0.327 * [taylor]: Taking taylor expansion of 1.0 in N 0.327 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.327 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.327 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.327 * [taylor]: Taking taylor expansion of 1/3 in N 0.327 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.327 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.327 * [taylor]: Taking taylor expansion of N in N 0.327 * [taylor]: Taking taylor expansion of 1.0 in N 0.328 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 0.328 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.328 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.328 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.328 * [taylor]: Taking taylor expansion of 1/3 in N 0.328 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.328 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.328 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.328 * [taylor]: Taking taylor expansion of N in N 0.328 * [taylor]: Taking taylor expansion of 1.0 in N 0.329 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.329 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.329 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.329 * [taylor]: Taking taylor expansion of 1/3 in N 0.329 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.329 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.329 * [taylor]: Taking taylor expansion of N in N 0.329 * [taylor]: Taking taylor expansion of 1.0 in N 0.330 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 0.330 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.330 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.330 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.330 * [taylor]: Taking taylor expansion of 1/3 in N 0.330 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.330 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.330 * [taylor]: Taking taylor expansion of 1.0 in N 0.330 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.330 * [taylor]: Taking taylor expansion of N in N 0.331 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.331 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.331 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.331 * [taylor]: Taking taylor expansion of 1/3 in N 0.331 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.331 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.331 * [taylor]: Taking taylor expansion of 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 0.332 * * * [progress]: simplifying candidates 0.334 * [simplify]: Simplifying using # : (log (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (exp (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (* (* (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (+ 1/3 1/3) (+ 1 1) (* (+ N 1.0) (+ N 1.0)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (+ 1 1) (+ (log (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0)))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (exp (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (+ N 1.0) (+ N 1.0)) (* (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt (+ (pow N 3) (pow 1.0 3))) (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) (* N 1.0))))) (* (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- N 1.0))) (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (+ (pow N 3) (pow 1.0 3)))) (* (cbrt (- N 1.0)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0))))) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* 1 1) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* 2 1/3) (* 2 1) (* (cbrt (+ N 1.0)) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (* (cbrt (+ N 1.0)) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (+ N 1.0)) (cbrt 1)) (* (cbrt (+ N 1.0)) (cbrt 1)) (* (cbrt (+ N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0))))) (* (cbrt (+ N 1.0)) (sqrt (cbrt (+ N 1.0)))) (* (cbrt (+ N 1.0)) 1) (* (cbrt (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (* (sqrt (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3)))) (* (cbrt (+ N 1.0)) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ N 1.0))) (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (- (+ (pow 1.0 1/3) (+ (* 0.6666666666666666 (* N (pow 1.0 1/3))) (* 0.5555555555555556 (* (pow N 2) (pow 1.0 1/3))))) (* 0.6666666666666666 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (* 0.6666666666666666 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (pow N 2)))) (- (+ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 N)))))) (* 0.6666666666666666 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 N)))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 N)))))) (pow N 2)))) (- (+ (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)))) 0.340 * * [simplify]: iteration 0 : 345 enodes (cost 866 ) 0.346 * * [simplify]: iteration 1 : 1119 enodes (cost 805 ) 0.370 * * [simplify]: iteration 2 : 4847 enodes (cost 721 ) 0.480 * * [simplify]: iteration 3 : 5001 enodes (cost 721 ) 0.484 * [simplify]: Simplified to: (log (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (exp (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (pow (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))) 3) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) 2/3 2 (pow (cbrt (+ N 1.0)) 6) (pow (sqrt (cbrt (+ N 1.0))) 4) 2 (* 2 (log (cbrt (+ N 1.0)))) (* 2 (log (cbrt (+ N 1.0)))) (exp (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (pow (cbrt (+ N 1.0)) 6) (* (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (pow (cbrt (+ N 1.0)) 6) (fabs (cbrt (+ N 1.0))) (fabs (cbrt (+ N 1.0))) (* (cbrt (+ (pow N 3) (pow 1.0 3))) (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) (* N 1.0))))) (* (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- N 1.0))) (* (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- N 1.0))) (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) 1 (pow (sqrt (cbrt (+ N 1.0))) 4) 1 (pow (sqrt (cbrt (+ N 1.0))) 4) 1 (pow (sqrt (cbrt (+ N 1.0))) 4) 1 (pow (sqrt (cbrt (+ N 1.0))) 4) (pow (cbrt (cbrt (+ N 1.0))) 4) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (+ N 1.0)) (cbrt (+ N 1.0)) 1 (pow (sqrt (cbrt (+ N 1.0))) 4) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (cbrt (+ N 1.0)) (cbrt (+ N 1.0)) 2/3 2 (* (cbrt (+ N 1.0)) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (* (cbrt (+ N 1.0)) (cbrt (sqrt (+ N 1.0)))) (cbrt (+ N 1.0)) (cbrt (+ N 1.0)) (* (pow (cbrt (cbrt (+ N 1.0))) 4) (cbrt (cbrt (+ N 1.0)))) (pow (sqrt (cbrt (+ N 1.0))) 3) (cbrt (+ N 1.0)) (pow (cbrt (cbrt (+ N 1.0))) 4) (* (cbrt (+ N 1.0)) (cbrt (sqrt (+ N 1.0)))) (pow (sqrt (cbrt (+ N 1.0))) 4) (pow (sqrt (cbrt (+ N 1.0))) 4) (pow (cbrt (cbrt (+ N 1.0))) 4) (pow (sqrt (cbrt (+ N 1.0))) 3) (pow (sqrt (cbrt (+ N 1.0))) 4) (* (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3)))) (* (cbrt (+ N 1.0)) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3)))) (* (cbrt (+ N 1.0)) (cbrt (- (* N N) (* 1.0 1.0)))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) 1 (cbrt (+ N 1.0)) 1 (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (+ N 1.0) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) 1 (cbrt (+ N 1.0)) 1 (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (+ N 1.0) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (+ (* (pow N 2) (- (* (pow 1.0 1/3) 0.5555555555555556) (* (pow (/ 1 (pow 1.0 5)) 1/3) 0.6666666666666666))) (* (+ (* 0.6666666666666666 N) 1) (pow 1.0 1/3))) (- (* 0.6666666666666666 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) N)) (- (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (pow N 2))) (pow (exp 1/3) (+ (* (log N) 2) 0)))) (- (* 0.6666666666666666 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 N)))))) N)) (- (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 N)))))) (pow N 2))) (pow (exp 1/3) (+ (* -2 (log (/ -1 N))) 0)))) (+ (* (pow N 2) (- (* (pow 1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow 1.0 5)) 1/3) 1/6))) (* (+ (* 0.3333333333333333 N) 1) (pow 1.0 1/3))) (+ (* (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N) (- 0.3333333333333333 (/ 0.1111111111111111 N))) (exp (* 1/3 (- (log -1) (log (/ -1 N)))))) (+ (* (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N) (- 0.3333333333333333 (/ 0.1111111111111111 N))) (exp (* 1/3 (- (log -1) (log (/ -1 N)))))) (+ (* (pow N 2) (- (* (pow 1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow 1.0 5)) 1/3) 1/6))) (* (+ (* 0.3333333333333333 N) 1) (pow 1.0 1/3))) (+ (* (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N) (- 0.3333333333333333 (/ 0.1111111111111111 N))) (exp (* 1/3 (- (log -1) (log (/ -1 N)))))) (+ (* (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N) (- 0.3333333333333333 (/ 0.1111111111111111 N))) (exp (* 1/3 (- (log -1) (log (/ -1 N)))))) 0.484 * * * [progress]: adding candidates to table 0.685 * * [progress]: iteration 4 / 4 0.685 * * * [progress]: picking best candidate 0.702 * * * * [pick]: Picked # 0.702 * * * [progress]: localizing error 0.720 * * * [progress]: generating rewritten candidates 0.720 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1 2) 0.724 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 1 1) 0.727 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 0.746 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.749 * * * [progress]: generating series expansions 0.749 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1 2) 0.749 * [approximate]: Taking taylor expansion of (pow (- (pow N 2) 1.0) 1/3) in (N) around 0 0.749 * [taylor]: Taking taylor expansion of (pow (- (pow N 2) 1.0) 1/3) in N 0.749 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (pow N 2) 1.0)))) in N 0.749 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (pow N 2) 1.0))) in N 0.749 * [taylor]: Taking taylor expansion of 1/3 in N 0.749 * [taylor]: Taking taylor expansion of (log (- (pow N 2) 1.0)) in N 0.749 * [taylor]: Taking taylor expansion of (- (pow N 2) 1.0) in N 0.749 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.749 * [taylor]: Taking taylor expansion of N in N 0.749 * [taylor]: Taking taylor expansion of 1.0 in N 0.749 * [taylor]: Taking taylor expansion of (pow (- (pow N 2) 1.0) 1/3) in N 0.749 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (pow N 2) 1.0)))) in N 0.749 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (pow N 2) 1.0))) in N 0.749 * [taylor]: Taking taylor expansion of 1/3 in N 0.749 * [taylor]: Taking taylor expansion of (log (- (pow N 2) 1.0)) in N 0.749 * [taylor]: Taking taylor expansion of (- (pow N 2) 1.0) in N 0.749 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.749 * [taylor]: Taking taylor expansion of N in N 0.749 * [taylor]: Taking taylor expansion of 1.0 in N 0.753 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in (N) around 0 0.753 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in N 0.753 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1.0)))) in N 0.753 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1.0))) in N 0.753 * [taylor]: Taking taylor expansion of 1/3 in N 0.753 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1.0)) in N 0.753 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 0.753 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.753 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.753 * [taylor]: Taking taylor expansion of N in N 0.753 * [taylor]: Taking taylor expansion of 1.0 in N 0.753 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in N 0.753 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1.0)))) in N 0.753 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1.0))) in N 0.753 * [taylor]: Taking taylor expansion of 1/3 in N 0.753 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1.0)) in N 0.753 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 0.753 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.753 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.753 * [taylor]: Taking taylor expansion of N in N 0.753 * [taylor]: Taking taylor expansion of 1.0 in N 0.757 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in (N) around 0 0.757 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in N 0.757 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1.0)))) in N 0.757 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1.0))) in N 0.757 * [taylor]: Taking taylor expansion of 1/3 in N 0.757 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1.0)) in N 0.757 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 0.757 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.757 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.757 * [taylor]: Taking taylor expansion of N in N 0.757 * [taylor]: Taking taylor expansion of 1.0 in N 0.758 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in N 0.758 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1.0)))) in N 0.758 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1.0))) in N 0.758 * [taylor]: Taking taylor expansion of 1/3 in N 0.758 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1.0)) in N 0.758 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 0.758 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.758 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.758 * [taylor]: Taking taylor expansion of N in N 0.758 * [taylor]: Taking taylor expansion of 1.0 in N 0.761 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 1 1) 0.762 * [approximate]: Taking taylor expansion of (pow (- (pow N 2) 1.0) 1/3) in (N) around 0 0.762 * [taylor]: Taking taylor expansion of (pow (- (pow N 2) 1.0) 1/3) in N 0.762 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (pow N 2) 1.0)))) in N 0.762 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (pow N 2) 1.0))) in N 0.762 * [taylor]: Taking taylor expansion of 1/3 in N 0.762 * [taylor]: Taking taylor expansion of (log (- (pow N 2) 1.0)) in N 0.762 * [taylor]: Taking taylor expansion of (- (pow N 2) 1.0) in N 0.762 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.762 * [taylor]: Taking taylor expansion of N in N 0.762 * [taylor]: Taking taylor expansion of 1.0 in N 0.762 * [taylor]: Taking taylor expansion of (pow (- (pow N 2) 1.0) 1/3) in N 0.762 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (pow N 2) 1.0)))) in N 0.762 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (pow N 2) 1.0))) in N 0.762 * [taylor]: Taking taylor expansion of 1/3 in N 0.762 * [taylor]: Taking taylor expansion of (log (- (pow N 2) 1.0)) in N 0.762 * [taylor]: Taking taylor expansion of (- (pow N 2) 1.0) in N 0.762 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.762 * [taylor]: Taking taylor expansion of N in N 0.762 * [taylor]: Taking taylor expansion of 1.0 in N 0.765 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in (N) around 0 0.765 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in N 0.765 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1.0)))) in N 0.765 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1.0))) in N 0.765 * [taylor]: Taking taylor expansion of 1/3 in N 0.765 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1.0)) in N 0.765 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 0.765 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.765 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.766 * [taylor]: Taking taylor expansion of N in N 0.766 * [taylor]: Taking taylor expansion of 1.0 in N 0.766 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in N 0.766 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1.0)))) in N 0.766 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1.0))) in N 0.766 * [taylor]: Taking taylor expansion of 1/3 in N 0.766 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1.0)) in N 0.766 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 0.766 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.766 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.766 * [taylor]: Taking taylor expansion of N in N 0.766 * [taylor]: Taking taylor expansion of 1.0 in N 0.770 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in (N) around 0 0.770 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in N 0.770 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1.0)))) in N 0.770 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1.0))) in N 0.770 * [taylor]: Taking taylor expansion of 1/3 in N 0.770 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1.0)) in N 0.770 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 0.770 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.770 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.770 * [taylor]: Taking taylor expansion of N in N 0.770 * [taylor]: Taking taylor expansion of 1.0 in N 0.770 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in N 0.770 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1.0)))) in N 0.770 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1.0))) in N 0.770 * [taylor]: Taking taylor expansion of 1/3 in N 0.770 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1.0)) in N 0.770 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 0.770 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.770 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.770 * [taylor]: Taking taylor expansion of N in N 0.770 * [taylor]: Taking taylor expansion of 1.0 in N 0.774 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 0.774 * [approximate]: Taking taylor expansion of (pow (/ (pow (- (pow N 2) 1.0) 2) (pow (- N 1.0) 2)) 1/3) in (N) around 0 0.774 * [taylor]: Taking taylor expansion of (pow (/ (pow (- (pow N 2) 1.0) 2) (pow (- N 1.0) 2)) 1/3) in N 0.774 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- (pow N 2) 1.0) 2) (pow (- N 1.0) 2))))) in N 0.774 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- (pow N 2) 1.0) 2) (pow (- N 1.0) 2)))) in N 0.774 * [taylor]: Taking taylor expansion of 1/3 in N 0.774 * [taylor]: Taking taylor expansion of (log (/ (pow (- (pow N 2) 1.0) 2) (pow (- N 1.0) 2))) in N 0.774 * [taylor]: Taking taylor expansion of (/ (pow (- (pow N 2) 1.0) 2) (pow (- N 1.0) 2)) in N 0.774 * [taylor]: Taking taylor expansion of (pow (- (pow N 2) 1.0) 2) in N 0.774 * [taylor]: Taking taylor expansion of (- (pow N 2) 1.0) in N 0.774 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.774 * [taylor]: Taking taylor expansion of N in N 0.774 * [taylor]: Taking taylor expansion of 1.0 in N 0.774 * [taylor]: Taking taylor expansion of (pow (- N 1.0) 2) in N 0.774 * [taylor]: Taking taylor expansion of (- N 1.0) in N 0.775 * [taylor]: Taking taylor expansion of N in N 0.775 * [taylor]: Taking taylor expansion of 1.0 in N 0.777 * [taylor]: Taking taylor expansion of (pow (/ (pow (- (pow N 2) 1.0) 2) (pow (- N 1.0) 2)) 1/3) in N 0.777 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- (pow N 2) 1.0) 2) (pow (- N 1.0) 2))))) in N 0.777 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- (pow N 2) 1.0) 2) (pow (- N 1.0) 2)))) in N 0.777 * [taylor]: Taking taylor expansion of 1/3 in N 0.777 * [taylor]: Taking taylor expansion of (log (/ (pow (- (pow N 2) 1.0) 2) (pow (- N 1.0) 2))) in N 0.777 * [taylor]: Taking taylor expansion of (/ (pow (- (pow N 2) 1.0) 2) (pow (- N 1.0) 2)) in N 0.777 * [taylor]: Taking taylor expansion of (pow (- (pow N 2) 1.0) 2) in N 0.777 * [taylor]: Taking taylor expansion of (- (pow N 2) 1.0) in N 0.777 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.777 * [taylor]: Taking taylor expansion of N in N 0.777 * [taylor]: Taking taylor expansion of 1.0 in N 0.777 * [taylor]: Taking taylor expansion of (pow (- N 1.0) 2) in N 0.777 * [taylor]: Taking taylor expansion of (- N 1.0) in N 0.777 * [taylor]: Taking taylor expansion of N in N 0.777 * [taylor]: Taking taylor expansion of 1.0 in N 0.779 * [approximate]: Taking taylor expansion of (pow (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (- (/ 1 N) 1.0) 2)) 1/3) in (N) around 0 0.779 * [taylor]: Taking taylor expansion of (pow (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (- (/ 1 N) 1.0) 2)) 1/3) in N 0.779 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (- (/ 1 N) 1.0) 2))))) in N 0.779 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (- (/ 1 N) 1.0) 2)))) in N 0.779 * [taylor]: Taking taylor expansion of 1/3 in N 0.779 * [taylor]: Taking taylor expansion of (log (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (- (/ 1 N) 1.0) 2))) in N 0.779 * [taylor]: Taking taylor expansion of (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (- (/ 1 N) 1.0) 2)) in N 0.779 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 2) in N 0.779 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 0.779 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.779 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.779 * [taylor]: Taking taylor expansion of N in N 0.779 * [taylor]: Taking taylor expansion of 1.0 in N 0.779 * [taylor]: Taking taylor expansion of (pow (- (/ 1 N) 1.0) 2) in N 0.779 * [taylor]: Taking taylor expansion of (- (/ 1 N) 1.0) in N 0.779 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.779 * [taylor]: Taking taylor expansion of N in N 0.779 * [taylor]: Taking taylor expansion of 1.0 in N 0.780 * [taylor]: Taking taylor expansion of (pow (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (- (/ 1 N) 1.0) 2)) 1/3) in N 0.780 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (- (/ 1 N) 1.0) 2))))) in N 0.780 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (- (/ 1 N) 1.0) 2)))) in N 0.780 * [taylor]: Taking taylor expansion of 1/3 in N 0.780 * [taylor]: Taking taylor expansion of (log (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (- (/ 1 N) 1.0) 2))) in N 0.780 * [taylor]: Taking taylor expansion of (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (- (/ 1 N) 1.0) 2)) in N 0.780 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 2) in N 0.780 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 0.780 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.780 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.780 * [taylor]: Taking taylor expansion of N in N 0.780 * [taylor]: Taking taylor expansion of 1.0 in N 0.780 * [taylor]: Taking taylor expansion of (pow (- (/ 1 N) 1.0) 2) in N 0.780 * [taylor]: Taking taylor expansion of (- (/ 1 N) 1.0) in N 0.780 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.780 * [taylor]: Taking taylor expansion of N in N 0.780 * [taylor]: Taking taylor expansion of 1.0 in N 0.783 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (cbrt -1) 2)) (pow (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (+ (/ 1 N) 1.0) 2)) 1/3)) in (N) around 0 0.783 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (cbrt -1) 2)) (pow (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (+ (/ 1 N) 1.0) 2)) 1/3)) in N 0.783 * [taylor]: Taking taylor expansion of (/ 1 (pow (cbrt -1) 2)) in N 0.783 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 0.783 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.783 * [taylor]: Taking taylor expansion of -1 in N 0.783 * [taylor]: Taking taylor expansion of (pow (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (+ (/ 1 N) 1.0) 2)) 1/3) in N 0.783 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (+ (/ 1 N) 1.0) 2))))) in N 0.783 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (+ (/ 1 N) 1.0) 2)))) in N 0.783 * [taylor]: Taking taylor expansion of 1/3 in N 0.783 * [taylor]: Taking taylor expansion of (log (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (+ (/ 1 N) 1.0) 2))) in N 0.783 * [taylor]: Taking taylor expansion of (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (+ (/ 1 N) 1.0) 2)) in N 0.783 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 2) in N 0.783 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 0.783 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.783 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.783 * [taylor]: Taking taylor expansion of N in N 0.783 * [taylor]: Taking taylor expansion of 1.0 in N 0.783 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 0.783 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.783 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.783 * [taylor]: Taking taylor expansion of N in N 0.783 * [taylor]: Taking taylor expansion of 1.0 in N 0.784 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (cbrt -1) 2)) (pow (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (+ (/ 1 N) 1.0) 2)) 1/3)) in N 0.784 * [taylor]: Taking taylor expansion of (/ 1 (pow (cbrt -1) 2)) in N 0.784 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 0.784 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.784 * [taylor]: Taking taylor expansion of -1 in N 0.784 * [taylor]: Taking taylor expansion of (pow (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (+ (/ 1 N) 1.0) 2)) 1/3) in N 0.784 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (+ (/ 1 N) 1.0) 2))))) in N 0.784 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (+ (/ 1 N) 1.0) 2)))) in N 0.784 * [taylor]: Taking taylor expansion of 1/3 in N 0.784 * [taylor]: Taking taylor expansion of (log (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (+ (/ 1 N) 1.0) 2))) in N 0.784 * [taylor]: Taking taylor expansion of (/ (pow (- (/ 1 (pow N 2)) 1.0) 2) (pow (+ (/ 1 N) 1.0) 2)) in N 0.784 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 2) in N 0.784 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 0.784 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.784 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.784 * [taylor]: Taking taylor expansion of N in N 0.784 * [taylor]: Taking taylor expansion of 1.0 in N 0.784 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 0.784 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.784 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.784 * [taylor]: Taking taylor expansion of N in N 0.784 * [taylor]: Taking taylor expansion of 1.0 in N 0.789 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.790 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* (pow (/ (* (pow (- (pow N 2) 1.0) 2) (+ N 1.0)) (pow (- N 1.0) 2)) 1/3) N) 1)) in (N) around 0 0.790 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* (pow (/ (* (pow (- (pow N 2) 1.0) 2) (+ N 1.0)) (pow (- N 1.0) 2)) 1/3) N) 1)) in N 0.790 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* (pow (/ (* (pow (- (pow N 2) 1.0) 2) (+ N 1.0)) (pow (- N 1.0) 2)) 1/3) N) 1)) in N 0.791 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* (pow (/ (* (pow (- (/ 1 (pow N 2)) 1.0) 2) (+ (/ 1 N) 1.0)) (pow (- (/ 1 N) 1.0) 2)) 1/3) (/ 1 N)) 1)) in (N) around 0 0.791 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* (pow (/ (* (pow (- (/ 1 (pow N 2)) 1.0) 2) (+ (/ 1 N) 1.0)) (pow (- (/ 1 N) 1.0) 2)) 1/3) (/ 1 N)) 1)) in N 0.792 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* (pow (/ (* (pow (- (/ 1 (pow N 2)) 1.0) 2) (+ (/ 1 N) 1.0)) (pow (- (/ 1 N) 1.0) 2)) 1/3) (/ 1 N)) 1)) in N 0.793 * [approximate]: Taking taylor expansion of (atan2 1.0 (- 1 (* (/ 1 (* (pow (cbrt -1) 2) N)) (pow (/ (* (- 1.0 (/ 1 N)) (pow (- (/ 1 (pow N 2)) 1.0) 2)) (pow (+ (/ 1 N) 1.0) 2)) 1/3)))) in (N) around 0 0.793 * [taylor]: Taking taylor expansion of (atan2 1.0 (- 1 (* (/ 1 (* (pow (cbrt -1) 2) N)) (pow (/ (* (- 1.0 (/ 1 N)) (pow (- (/ 1 (pow N 2)) 1.0) 2)) (pow (+ (/ 1 N) 1.0) 2)) 1/3)))) in N 0.794 * [taylor]: Taking taylor expansion of (atan2 1.0 (- 1 (* (/ 1 (* (pow (cbrt -1) 2) N)) (pow (/ (* (- 1.0 (/ 1 N)) (pow (- (/ 1 (pow N 2)) 1.0) 2)) (pow (+ (/ 1 N) 1.0) 2)) 1/3)))) in N 0.795 * * * [progress]: simplifying candidates 0.797 * [simplify]: Simplifying using # : (log (cbrt (- (* N N) (* 1.0 1.0)))) (exp (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt 1) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (+ N 1.0)) (cbrt (- N 1.0)) (cbrt (- (pow (* N N) 3) (pow (* 1.0 1.0) 3))) (cbrt (+ (* (* N N) (* N N)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* N N) (* 1.0 1.0))))) (cbrt (- (* (* N N) (* N N)) (* (* 1.0 1.0) (* 1.0 1.0)))) (cbrt (+ (* N N) (* 1.0 1.0))) (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (* (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- (* N N) (* 1.0 1.0)))) (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (log (cbrt (- (* N N) (* 1.0 1.0)))) (exp (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt 1) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (+ N 1.0)) (cbrt (- N 1.0)) (cbrt (- (pow (* N N) 3) (pow (* 1.0 1.0) 3))) (cbrt (+ (* (* N N) (* N N)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* N N) (* 1.0 1.0))))) (cbrt (- (* (* N N) (* N N)) (* (* 1.0 1.0) (* 1.0 1.0)))) (cbrt (+ (* N N) (* 1.0 1.0))) (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (* (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- (* N N) (* 1.0 1.0)))) (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (- (+ (log (cbrt (- (* N N) (* 1.0 1.0)))) (log (cbrt (- (* N N) (* 1.0 1.0))))) (+ (log (cbrt (- N 1.0))) (log (cbrt (- N 1.0))))) (- (+ (log (cbrt (- (* N N) (* 1.0 1.0)))) (log (cbrt (- (* N N) (* 1.0 1.0))))) (log (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (- (log (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (+ (log (cbrt (- N 1.0))) (log (cbrt (- N 1.0))))) (- (log (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (log (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (log (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (exp (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (/ (* (- (* N N) (* 1.0 1.0)) (- (* N N) (* 1.0 1.0))) (* (- N 1.0) (- N 1.0))) (/ (* (- (* N N) (* 1.0 1.0)) (- (* N N) (* 1.0 1.0))) (* (* (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (/ (* (* (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (* (- N 1.0) (- N 1.0))) (/ (* (* (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (* (* (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (* (cbrt (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (cbrt (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))))) (cbrt (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (* (* (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (sqrt (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (sqrt (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (neg (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (neg (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) (/ 1 (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (/ (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- (pow N 3) (pow 1.0 3))) (cbrt (- (pow N 3) (pow 1.0 3))))) (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- (pow N 3) (pow 1.0 3))) (cbrt (- (* N N) (* 1.0 1.0))))) (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (pow N 3) (pow 1.0 3))))) (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- (pow N 3) (pow 1.0 3))))) (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- (* N N) (* 1.0 1.0))))) (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- (pow N 3) (pow 1.0 3))) (cbrt (- N 1.0)))) (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (+ (* (* N N) (* N N)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* N N) (* 1.0 1.0))))) (cbrt (+ (* (* N N) (* N N)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* N N) (* 1.0 1.0))))))) (* (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (+ (* (* N N) (* N N)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* N N) (* 1.0 1.0))))) (cbrt (+ (* N N) (* 1.0 1.0))))) (* (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (+ (* N N) (* 1.0 1.0))) (cbrt (+ (* (* N N) (* N N)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* N N) (* 1.0 1.0))))))) (* (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (+ (* N N) (* 1.0 1.0))) (cbrt (+ (* N N) (* 1.0 1.0))))) (* (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (cbrt (+ (* (* N N) (* N N)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* N N) (* 1.0 1.0)))))) (* (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (cbrt (+ (* N N) (* 1.0 1.0)))) (* (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (cbrt (+ (* (* N N) (* N N)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* N N) (* 1.0 1.0)))))) (* (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (cbrt (+ (* N N) (* 1.0 1.0)))) (log (atan2 1.0 (+ 1 (* (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (exp (atan2 1.0 (+ 1 (* (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (* (cbrt (atan2 1.0 (+ 1 (* (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (cbrt (atan2 1.0 (+ 1 (* (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N)))))) (cbrt (atan2 1.0 (+ 1 (* (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (* (* (atan2 1.0 (+ 1 (* (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N)))) (atan2 1.0 (+ 1 (* (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (atan2 1.0 (+ 1 (* (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (sqrt (atan2 1.0 (+ 1 (* (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (sqrt (atan2 1.0 (+ 1 (* (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (- (+ (* 0.05555555555555555 (* (pow N 4) (pow -1.0 1/3))) (pow (neg 1.0) 1/3)) (+ (* 1/6 (* (pow N 4) (pow (/ 1 (pow -1.0 5)) 1/3))) (* 0.3333333333333333 (* (pow N 2) (pow -1.0 1/3))))) (- (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (+ (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (pow N 4))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (pow N 2))))) (- (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 N)))))) (+ (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 N)))))) (pow N 4))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 N)))))) (pow N 2))))) (- (+ (* 0.05555555555555555 (* (pow N 4) (pow -1.0 1/3))) (pow (neg 1.0) 1/3)) (+ (* 1/6 (* (pow N 4) (pow (/ 1 (pow -1.0 5)) 1/3))) (* 0.3333333333333333 (* (pow N 2) (pow -1.0 1/3))))) (- (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (+ (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (pow N 4))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (pow N 2))))) (- (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 N)))))) (+ (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 N)))))) (pow N 4))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 N)))))) (pow N 2))))) (- (+ (pow 1.0 1/3) (+ (* 0.6666666666666666 (* N (pow 1.0 1/3))) (* 0.5555555555555556 (* (pow N 2) (pow 1.0 1/3))))) (* 0.6666666666666666 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (* 0.6666666666666666 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (pow N 2)))) (- (+ (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 N)))))) (pow (cbrt -1) 2)) (* 0.6666666666666666 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 N)))))) (* (pow (cbrt -1) 2) N)))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 N)))))) (* (pow (cbrt -1) 2) (pow N 2))))) (atan2 1.0 (+ (* (pow (/ (* (pow (- (pow N 2) 1.0) 2) (+ N 1.0)) (pow (- N 1.0) 2)) 1/3) N) 1)) (atan2 1.0 (+ (* (pow (/ (* (pow (- (pow N 2) 1.0) 2) (+ N 1.0)) (pow (- N 1.0) 2)) 1/3) N) 1)) (atan2 1.0 (+ (* (pow (/ (* (pow (- (pow N 2) 1.0) 2) (+ N 1.0)) (pow (- 1.0 N) 2)) 1/3) (/ N (pow (cbrt -1) 2))) 1)) 0.805 * * [simplify]: iteration 0 : 579 enodes (cost 1387 ) 0.814 * * [simplify]: iteration 1 : 2126 enodes (cost 1169 ) 0.846 * * [simplify]: iteration 2 : 5001 enodes (cost 1126 ) 0.852 * [simplify]: Simplified to: (log (cbrt (- (* N N) (* 1.0 1.0)))) (exp (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt 1) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (+ N 1.0)) (cbrt (- N 1.0)) (cbrt (- (pow (* N N) 3) (pow (* 1.0 1.0) 3))) (cbrt (+ (* (* N N) (* N N)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* N N) (* 1.0 1.0))))) (cbrt (- (* (* N N) (* N N)) (* (* 1.0 1.0) (* 1.0 1.0)))) (cbrt (+ (* N N) (* 1.0 1.0))) (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (- (* N N) (* 1.0 1.0)) (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (log (cbrt (- (* N N) (* 1.0 1.0)))) (exp (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt 1) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (+ N 1.0)) (cbrt (- N 1.0)) (cbrt (- (pow (* N N) 3) (pow (* 1.0 1.0) 3))) (cbrt (+ (* (* N N) (* N N)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* N N) (* 1.0 1.0))))) (cbrt (- (* (* N N) (* N N)) (* (* 1.0 1.0) (* 1.0 1.0)))) (cbrt (+ (* N N) (* 1.0 1.0))) (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (- (* N N) (* 1.0 1.0)) (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (* 2 (log (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))))) (* 2 (log (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))))) (* 2 (log (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))))) (* 2 (log (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))))) (* 2 (log (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))))) (exp (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (/ (* (* (+ N 1.0) (+ N 1.0)) (pow (- N 1.0) 2)) (pow (- N 1.0) 2)) (/ (* (* (+ N 1.0) (+ N 1.0)) (pow (- N 1.0) 2)) (pow (- N 1.0) 2)) (/ (* (* (+ N 1.0) (+ N 1.0)) (pow (- N 1.0) 2)) (pow (- N 1.0) 2)) (/ (* (* (+ N 1.0) (+ N 1.0)) (pow (- N 1.0) 2)) (pow (- N 1.0) 2)) (* (cbrt (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (cbrt (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))))) (cbrt (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (/ (* (* (+ N 1.0) (+ N 1.0)) (pow (- N 1.0) 2)) (pow (- N 1.0) 2)) (fabs (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (fabs (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (neg (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (neg (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) (/ 1 (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (/ (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- (pow N 3) (pow 1.0 3))) (cbrt (- (pow N 3) (pow 1.0 3))))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (pow N 3) (pow 1.0 3)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (pow N 3) (pow 1.0 3)))) 1 (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- (pow N 3) (pow 1.0 3))) (cbrt (- N 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- (pow N 3) (pow 1.0 3))) (cbrt (- N 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) (* (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (+ (* (* N N) (* N N)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* N N) (* 1.0 1.0))))) (cbrt (+ (* (* N N) (* N N)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* N N) (* 1.0 1.0))))))) (* (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (+ (* N N) (* 1.0 1.0))) (cbrt (+ (* (* N N) (* N N)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* N N) (* 1.0 1.0))))))) (* (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (+ (* N N) (* 1.0 1.0))) (cbrt (+ (* (* N N) (* N N)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* N N) (* 1.0 1.0))))))) (* (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (+ (* N N) (* 1.0 1.0))) (cbrt (+ (* N N) (* 1.0 1.0))))) (* (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (cbrt (+ (* (* N N) (* N N)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* N N) (* 1.0 1.0)))))) (* (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (cbrt (+ (* N N) (* 1.0 1.0)))) (* (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (cbrt (+ (* (* N N) (* N N)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* N N) (* 1.0 1.0)))))) (* (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (cbrt (+ (* N N) (* 1.0 1.0)))) (log (atan2 1.0 (+ 1 (* (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (exp (atan2 1.0 (+ 1 (* (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (* (cbrt (atan2 1.0 (+ 1 (* (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (cbrt (atan2 1.0 (+ 1 (* (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N)))))) (cbrt (atan2 1.0 (+ 1 (* (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (pow (atan2 1.0 (+ 1 (* (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N)))) 3) (sqrt (atan2 1.0 (+ 1 (* (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (sqrt (atan2 1.0 (+ 1 (* (/ (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (+ (pow (neg 1.0) 1/3) (+ (* (pow N 4) (- (* (pow -1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow -1.0 5)) 1/3) 1/6))) (neg (* 0.3333333333333333 (* (pow N 2) (pow -1.0 1/3)))))) (+ (pow (exp 1/3) (+ (* -2 (log (/ 1 N))) 0)) (- (/ (* (neg (pow (exp 1/3) (+ (* -2 (log (/ 1 N))) 0))) 0.1111111111111111) (pow N 4)) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (pow N 2))))) (+ (pow (exp 1/3) (+ (* -2 (log (/ -1 N))) 0)) (- (/ (* (neg (pow (exp 1/3) (+ (* -2 (log (/ -1 N))) 0))) 0.1111111111111111) (pow N 4)) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 N)))))) (pow N 2))))) (+ (pow (neg 1.0) 1/3) (+ (* (pow N 4) (- (* (pow -1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow -1.0 5)) 1/3) 1/6))) (neg (* 0.3333333333333333 (* (pow N 2) (pow -1.0 1/3)))))) (+ (pow (exp 1/3) (+ (* -2 (log (/ 1 N))) 0)) (- (/ (* (neg (pow (exp 1/3) (+ (* -2 (log (/ 1 N))) 0))) 0.1111111111111111) (pow N 4)) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (pow N 2))))) (+ (pow (exp 1/3) (+ (* -2 (log (/ -1 N))) 0)) (- (/ (* (neg (pow (exp 1/3) (+ (* -2 (log (/ -1 N))) 0))) 0.1111111111111111) (pow N 4)) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 N)))))) (pow N 2))))) (+ (* (pow 1.0 1/3) (+ (* 0.5555555555555556 (pow N 2)) (* 0.6666666666666666 N))) (- (pow 1.0 1/3) (* 0.6666666666666666 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3))))) (- (* 0.6666666666666666 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) N)) (- (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (pow N 2))) (pow (exp 1/3) (+ (* -2 (log (/ 1 N))) 0)))) (- (+ (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 N)))))) (pow (cbrt -1) 2)) (* 0.6666666666666666 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 N)))))) (* (pow (cbrt -1) 2) N)))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 N)))))) (* (pow (cbrt -1) 2) (pow N 2))))) (atan2 1.0 (+ (* (pow (/ (* (pow (- (pow N 2) 1.0) 2) (+ N 1.0)) (pow (- N 1.0) 2)) 1/3) N) 1)) (atan2 1.0 (+ (* (pow (/ (* (pow (- (pow N 2) 1.0) 2) (+ N 1.0)) (pow (- N 1.0) 2)) 1/3) N) 1)) (atan2 1.0 (+ (* (pow (/ (* (pow (- (pow N 2) 1.0) 2) (+ N 1.0)) (pow (- 1.0 N) 2)) 1/3) (/ N (pow (cbrt -1) 2))) 1)) 0.853 * * * [progress]: adding candidates to table 1.143 * [progress]: [Phase 3 of 3] Extracting. 1.143 * * [regime]: Finding splitpoints for: (# # # # # # # #) 1.145 * * * [regime-changes]: Trying 2 branch expressions: ((- (atan (+ N 1.0)) (atan N)) N) 1.145 * * * * [regimes]: Trying to branch on (- (atan (+ N 1.0)) (atan N)) from (# # # # # # # #) 1.191 * * * * [regimes]: Trying to branch on N from (# # # # # # # #) 1.236 * * * [regime]: Found split indices: #