13.845 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.027 * * * [progress]: [2/2] Setting up program. 0.029 * [progress]: [Phase 2 of 3] Improving. 0.030 * [simplify]: Simplifying using # : (- (atan (+ N 1.0)) (atan N)) 0.033 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.034 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.035 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.035 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.035 * * [progress]: iteration 1 / 4 0.035 * * * [progress]: picking best candidate 0.037 * * * * [pick]: Picked # 0.037 * * * [progress]: localizing error 0.043 * * * [progress]: generating rewritten candidates 0.043 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.046 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.048 * * * [progress]: generating series expansions 0.048 * * * * [progress]: [ 1 / 2 ] 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 0.048 * [taylor]: Taking taylor expansion of (atan N) in N 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 0.048 * [taylor]: Taking taylor expansion of (atan N) in N 0.052 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.052 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.052 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.052 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.052 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.052 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.052 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.055 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.055 * [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 0.059 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.059 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.059 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.059 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.060 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.060 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.060 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.060 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.060 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.060 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.060 * * * [progress]: simplifying candidates 0.061 * [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)))) (- (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)) (- (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)) 0.064 * * [simplify]: iteration 0 : 74 enodes (cost 154 ) 0.066 * * [simplify]: iteration 1 : 143 enodes (cost 145 ) 0.068 * * [simplify]: iteration 2 : 289 enodes (cost 143 ) 0.073 * * [simplify]: iteration 3 : 681 enodes (cost 142 ) 0.086 * * [simplify]: iteration 4 : 2491 enodes (cost 142 ) 0.134 * * [simplify]: iteration 5 : 5001 enodes (cost 142 ) 0.135 * [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)) (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)) 0.135 * * * [progress]: adding candidates to table 0.175 * * [progress]: iteration 2 / 4 0.175 * * * [progress]: picking best candidate 0.177 * * * * [pick]: Picked # 0.177 * * * [progress]: localizing error 0.182 * * * [progress]: generating rewritten candidates 0.183 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.183 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.190 * * * [progress]: generating series expansions 0.190 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.190 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.190 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.190 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.191 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.191 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.191 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.192 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.192 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.192 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.193 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.193 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 0.193 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.193 * [taylor]: Taking taylor expansion of N in N 0.193 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.193 * [taylor]: Taking taylor expansion of N in N 0.193 * [taylor]: Taking taylor expansion of 1.0 in N 0.193 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.193 * [taylor]: Taking taylor expansion of N in N 0.193 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.193 * [taylor]: Taking taylor expansion of N in N 0.193 * [taylor]: Taking taylor expansion of 1.0 in N 0.203 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 0.203 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.203 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.203 * [taylor]: Taking taylor expansion of N in N 0.203 * [taylor]: Taking taylor expansion of 1.0 in N 0.203 * [taylor]: Taking taylor expansion of N in N 0.204 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.204 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.204 * [taylor]: Taking taylor expansion of N in N 0.204 * [taylor]: Taking taylor expansion of 1.0 in N 0.204 * [taylor]: Taking taylor expansion of N in N 0.215 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 0.215 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.215 * [taylor]: Taking taylor expansion of -1 in N 0.215 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.215 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.215 * [taylor]: Taking taylor expansion of 1.0 in N 0.215 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.215 * [taylor]: Taking taylor expansion of N in N 0.215 * [taylor]: Taking taylor expansion of N in N 0.216 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.216 * [taylor]: Taking taylor expansion of -1 in N 0.216 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.216 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.216 * [taylor]: Taking taylor expansion of 1.0 in N 0.216 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.216 * [taylor]: Taking taylor expansion of N in N 0.217 * [taylor]: Taking taylor expansion of N in N 0.240 * * * [progress]: simplifying candidates 0.241 * [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)) 0.244 * * [simplify]: iteration 0 : 120 enodes (cost 152 ) 0.247 * * [simplify]: iteration 1 : 432 enodes (cost 127 ) 0.257 * * [simplify]: iteration 2 : 2314 enodes (cost 127 ) 0.293 * * [simplify]: iteration 3 : 5002 enodes (cost 127 ) 0.295 * [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) 0.295 * * * [progress]: adding candidates to table 0.337 * * [progress]: iteration 3 / 4 0.337 * * * [progress]: picking best candidate 0.346 * * * * [pick]: Picked # 0.346 * * * [progress]: localizing error 0.356 * * * [progress]: generating rewritten candidates 0.356 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 0.362 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 0.369 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 0.375 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.378 * * * [progress]: generating series expansions 0.378 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 0.378 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.378 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.378 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.378 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.378 * [taylor]: Taking taylor expansion of 1/3 in N 0.378 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.378 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.378 * [taylor]: Taking taylor expansion of N in N 0.378 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.378 * [taylor]: Taking taylor expansion of N in N 0.378 * [taylor]: Taking taylor expansion of 1.0 in N 0.381 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.381 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.382 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.382 * [taylor]: Taking taylor expansion of 1/3 in N 0.382 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.382 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.382 * [taylor]: Taking taylor expansion of N in N 0.382 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.382 * [taylor]: Taking taylor expansion of N in N 0.382 * [taylor]: Taking taylor expansion of 1.0 in N 0.418 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.418 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.418 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.418 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.418 * [taylor]: Taking taylor expansion of 1/3 in N 0.418 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.418 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.418 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.418 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.418 * [taylor]: Taking taylor expansion of N in N 0.418 * [taylor]: Taking taylor expansion of 1.0 in N 0.418 * [taylor]: Taking taylor expansion of N in N 0.419 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.419 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.419 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.419 * [taylor]: Taking taylor expansion of 1/3 in N 0.419 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.419 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.419 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.420 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.420 * [taylor]: Taking taylor expansion of N in N 0.420 * [taylor]: Taking taylor expansion of 1.0 in N 0.420 * [taylor]: Taking taylor expansion of N in N 0.441 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.442 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.442 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.442 * [taylor]: Taking taylor expansion of -1 in N 0.442 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.442 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.442 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.442 * [taylor]: Taking taylor expansion of 1/3 in N 0.442 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.442 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.442 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.442 * [taylor]: Taking taylor expansion of 1.0 in N 0.442 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.442 * [taylor]: Taking taylor expansion of N in N 0.443 * [taylor]: Taking taylor expansion of N in N 0.445 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.445 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.445 * [taylor]: Taking taylor expansion of -1 in N 0.446 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.446 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.446 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.446 * [taylor]: Taking taylor expansion of 1/3 in N 0.446 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.446 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.446 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.446 * [taylor]: Taking taylor expansion of 1.0 in N 0.446 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.446 * [taylor]: Taking taylor expansion of N in N 0.447 * [taylor]: Taking taylor expansion of N in N 0.481 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 0.481 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.481 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.481 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.481 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.481 * [taylor]: Taking taylor expansion of 1/3 in N 0.481 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.481 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.481 * [taylor]: Taking taylor expansion of N in N 0.481 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.481 * [taylor]: Taking taylor expansion of N in N 0.481 * [taylor]: Taking taylor expansion of 1.0 in N 0.489 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.490 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.490 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.490 * [taylor]: Taking taylor expansion of 1/3 in N 0.490 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.490 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.490 * [taylor]: Taking taylor expansion of N in N 0.490 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.490 * [taylor]: Taking taylor expansion of N in N 0.490 * [taylor]: Taking taylor expansion of 1.0 in N 0.520 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.520 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.521 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.521 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.521 * [taylor]: Taking taylor expansion of 1/3 in N 0.521 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.521 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.521 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.521 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.521 * [taylor]: Taking taylor expansion of N in N 0.521 * [taylor]: Taking taylor expansion of 1.0 in N 0.521 * [taylor]: Taking taylor expansion of N in N 0.522 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.522 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.522 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.522 * [taylor]: Taking taylor expansion of 1/3 in N 0.522 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.522 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.522 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.522 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.522 * [taylor]: Taking taylor expansion of N in N 0.523 * [taylor]: Taking taylor expansion of 1.0 in N 0.523 * [taylor]: Taking taylor expansion of N in N 0.544 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.545 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.545 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.545 * [taylor]: Taking taylor expansion of -1 in N 0.545 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.545 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.546 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.546 * [taylor]: Taking taylor expansion of 1/3 in N 0.546 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.546 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.546 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.546 * [taylor]: Taking taylor expansion of 1.0 in N 0.546 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.546 * [taylor]: Taking taylor expansion of N in N 0.546 * [taylor]: Taking taylor expansion of N in N 0.548 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.548 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.548 * [taylor]: Taking taylor expansion of -1 in N 0.549 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.549 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.549 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.549 * [taylor]: Taking taylor expansion of 1/3 in N 0.549 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.549 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.549 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.549 * [taylor]: Taking taylor expansion of 1.0 in N 0.549 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.549 * [taylor]: Taking taylor expansion of N in N 0.549 * [taylor]: Taking taylor expansion of N in N 0.588 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 0.588 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.588 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.588 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.588 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.588 * [taylor]: Taking taylor expansion of 1/3 in N 0.588 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.588 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.588 * [taylor]: Taking taylor expansion of N in N 0.588 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.588 * [taylor]: Taking taylor expansion of N in N 0.588 * [taylor]: Taking taylor expansion of 1.0 in N 0.592 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.592 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.592 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.592 * [taylor]: Taking taylor expansion of 1/3 in N 0.592 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.592 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.592 * [taylor]: Taking taylor expansion of N in N 0.592 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.592 * [taylor]: Taking taylor expansion of N in N 0.592 * [taylor]: Taking taylor expansion of 1.0 in N 0.623 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.623 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.623 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.623 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.623 * [taylor]: Taking taylor expansion of 1/3 in N 0.623 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.623 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.623 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.623 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.623 * [taylor]: Taking taylor expansion of N in N 0.624 * [taylor]: Taking taylor expansion of 1.0 in N 0.624 * [taylor]: Taking taylor expansion of N in N 0.625 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.625 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.625 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.625 * [taylor]: Taking taylor expansion of 1/3 in N 0.625 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.625 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.625 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.625 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.625 * [taylor]: Taking taylor expansion of N in N 0.625 * [taylor]: Taking taylor expansion of 1.0 in N 0.625 * [taylor]: Taking taylor expansion of N in N 0.652 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.652 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.652 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.652 * [taylor]: Taking taylor expansion of -1 in N 0.653 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.653 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.653 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.653 * [taylor]: Taking taylor expansion of 1/3 in N 0.653 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.653 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.653 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.653 * [taylor]: Taking taylor expansion of 1.0 in N 0.653 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.653 * [taylor]: Taking taylor expansion of N in N 0.653 * [taylor]: Taking taylor expansion of N in N 0.655 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.656 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.656 * [taylor]: Taking taylor expansion of -1 in N 0.656 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.656 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.656 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.656 * [taylor]: Taking taylor expansion of 1/3 in N 0.656 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.656 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.656 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.656 * [taylor]: Taking taylor expansion of 1.0 in N 0.656 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.656 * [taylor]: Taking taylor expansion of N in N 0.657 * [taylor]: Taking taylor expansion of N in N 0.690 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.691 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.691 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.691 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.692 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.692 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.692 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.693 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in (N) around 0 0.693 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in N 0.694 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in N 0.696 * * * [progress]: simplifying candidates 0.698 * [simplify]: Simplifying using # : (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (sqrt (* (+ N 1.0) N))) (cbrt (sqrt (* (+ N 1.0) N))) (cbrt 1) (cbrt (* (+ N 1.0) N)) (cbrt (* (sqrt (+ N 1.0)) (sqrt N))) (cbrt (* (sqrt (+ N 1.0)) (sqrt N))) (cbrt (* (+ N 1.0) (* (cbrt N) (cbrt N)))) (cbrt (cbrt N)) (cbrt (* (+ N 1.0) (sqrt N))) (cbrt (sqrt N)) (cbrt (* (+ N 1.0) 1)) (cbrt N) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) N)) (cbrt (sqrt (+ N 1.0))) (cbrt (* (sqrt (+ N 1.0)) N)) (cbrt 1) (cbrt (* (+ N 1.0) N)) (cbrt 1) (cbrt (* (+ N 1.0) N)) (cbrt N) (cbrt (+ N 1.0)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (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 1.0)) (cbrt N) (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (sqrt (* (+ N 1.0) N))) (cbrt (sqrt (* (+ N 1.0) N))) (cbrt 1) (cbrt (* (+ N 1.0) N)) (cbrt (* (sqrt (+ N 1.0)) (sqrt N))) (cbrt (* (sqrt (+ N 1.0)) (sqrt N))) (cbrt (* (+ N 1.0) (* (cbrt N) (cbrt N)))) (cbrt (cbrt N)) (cbrt (* (+ N 1.0) (sqrt N))) (cbrt (sqrt N)) (cbrt (* (+ N 1.0) 1)) (cbrt N) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) N)) (cbrt (sqrt (+ N 1.0))) (cbrt (* (sqrt (+ N 1.0)) N)) (cbrt 1) (cbrt (* (+ N 1.0) N)) (cbrt 1) (cbrt (* (+ N 1.0) N)) (cbrt N) (cbrt (+ N 1.0)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (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 1.0)) (cbrt N) (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (sqrt (* (+ N 1.0) N))) (cbrt (sqrt (* (+ N 1.0) N))) (cbrt 1) (cbrt (* (+ N 1.0) N)) (cbrt (* (sqrt (+ N 1.0)) (sqrt N))) (cbrt (* (sqrt (+ N 1.0)) (sqrt N))) (cbrt (* (+ N 1.0) (* (cbrt N) (cbrt N)))) (cbrt (cbrt N)) (cbrt (* (+ N 1.0) (sqrt N))) (cbrt (sqrt N)) (cbrt (* (+ N 1.0) 1)) (cbrt N) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) N)) (cbrt (sqrt (+ N 1.0))) (cbrt (* (sqrt (+ N 1.0)) N)) (cbrt 1) (cbrt (* (+ N 1.0) N)) (cbrt 1) (cbrt (* (+ N 1.0) N)) (cbrt N) (cbrt (+ N 1.0)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (exp (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (* (* (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))) (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (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)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (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)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.703 * * [simplify]: iteration 0 : 238 enodes (cost 809 ) 0.708 * * [simplify]: iteration 1 : 709 enodes (cost 761 ) 0.720 * * [simplify]: iteration 2 : 3000 enodes (cost 719 ) 0.779 * * [simplify]: iteration 3 : 5001 enodes (cost 702 ) 0.783 * [simplify]: Simplified to: (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (pow N 1/3) (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (sqrt (* (+ N 1.0) N))) (cbrt (sqrt (* (+ N 1.0) N))) 1 (cbrt (* (+ N 1.0) N)) (cbrt (* (sqrt (+ N 1.0)) (sqrt N))) (cbrt (* (sqrt (+ N 1.0)) (sqrt N))) (cbrt (* (+ N 1.0) (* (cbrt N) (cbrt N)))) (cbrt (cbrt N)) (cbrt (* (+ N 1.0) (sqrt N))) (cbrt (sqrt N)) (cbrt (+ N 1.0)) (pow N 1/3) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) N)) (cbrt (sqrt (+ N 1.0))) (cbrt (* (sqrt (+ N 1.0)) N)) 1 (cbrt (* (+ N 1.0) N)) 1 (cbrt (* (+ N 1.0) N)) (pow N 1/3) (cbrt (+ N 1.0)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (+ 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 1.0)) (pow N 1/3) (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (sqrt (* (+ N 1.0) N))) (cbrt (sqrt (* (+ N 1.0) N))) 1 (cbrt (* (+ N 1.0) N)) (cbrt (* (sqrt (+ N 1.0)) (sqrt N))) (cbrt (* (sqrt (+ N 1.0)) (sqrt N))) (cbrt (* (+ N 1.0) (* (cbrt N) (cbrt N)))) (cbrt (cbrt N)) (cbrt (* (+ N 1.0) (sqrt N))) (cbrt (sqrt N)) (cbrt (+ N 1.0)) (pow N 1/3) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) N)) (cbrt (sqrt (+ N 1.0))) (cbrt (* (sqrt (+ N 1.0)) N)) 1 (cbrt (* (+ N 1.0) N)) 1 (cbrt (* (+ N 1.0) N)) (pow N 1/3) (cbrt (+ N 1.0)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (+ 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 1.0)) (pow N 1/3) (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (sqrt (* (+ N 1.0) N))) (cbrt (sqrt (* (+ N 1.0) N))) 1 (cbrt (* (+ N 1.0) N)) (cbrt (* (sqrt (+ N 1.0)) (sqrt N))) (cbrt (* (sqrt (+ N 1.0)) (sqrt N))) (cbrt (* (+ N 1.0) (* (cbrt N) (cbrt N)))) (cbrt (cbrt N)) (cbrt (* (+ N 1.0) (sqrt N))) (cbrt (sqrt N)) (cbrt (+ N 1.0)) (pow N 1/3) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) N)) (cbrt (sqrt (+ N 1.0))) (cbrt (* (sqrt (+ N 1.0)) N)) 1 (cbrt (* (+ N 1.0) N)) 1 (cbrt (* (+ N 1.0) N)) (pow N 1/3) (cbrt (+ N 1.0)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (+ N 1.0) N) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (exp (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 3) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (- (* (* (pow N 1/3) (pow 1.0 1/3)) (+ (* N 0.3333333333333333) (* (pow N 2) 0.05555555555555555))) (- (* (/ 1/6 (/ 1.0 N)) (/ (* (pow N 1/3) (pow 1.0 1/3)) (/ 1.0 N))) (* (pow N 1/3) (pow 1.0 1/3)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (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)))) (- (* (* (pow N 1/3) (pow 1.0 1/3)) (+ (* N 0.3333333333333333) (* (pow N 2) 0.05555555555555555))) (- (* (/ 1/6 (/ 1.0 N)) (/ (* (pow N 1/3) (pow 1.0 1/3)) (/ 1.0 N))) (* (pow N 1/3) (pow 1.0 1/3)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (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)))) (- (* (* (pow N 1/3) (pow 1.0 1/3)) (+ (* N 0.3333333333333333) (* (pow N 2) 0.05555555555555555))) (- (* (/ 1/6 (/ 1.0 N)) (/ (* (pow N 1/3) (pow 1.0 1/3)) (/ 1.0 N))) (* (pow N 1/3) (pow 1.0 1/3)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.784 * * * [progress]: adding candidates to table 0.989 * * [progress]: iteration 4 / 4 0.989 * * * [progress]: picking best candidate 0.996 * * * * [pick]: Picked # 0.996 * * * [progress]: localizing error 1.007 * * * [progress]: generating rewritten candidates 1.007 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.008 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.009 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.010 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.011 * * * [progress]: generating series expansions 1.011 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.011 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0 1.011 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 1.011 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 1.012 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 1.012 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 1.016 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0 1.016 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 1.016 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 1.017 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 1.017 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 1.021 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0 1.021 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 1.021 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 1.022 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 1.022 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 1.026 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.026 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0 1.026 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 1.026 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 1.027 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 1.027 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 1.031 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0 1.031 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 1.031 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 1.032 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 1.032 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 1.036 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0 1.036 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 1.036 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 1.037 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 1.037 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 1.041 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.041 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 1.041 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 1.041 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 1.042 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 1.042 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 1.042 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 1.043 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 1.043 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 1.043 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 1.044 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.044 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 1.044 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 1.044 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 1.044 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 1.044 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 1.045 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 1.045 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 1.045 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 1.045 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 1.046 * * * [progress]: simplifying candidates 1.047 * [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))))) (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)))) (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))) 1.050 * * [simplify]: iteration 0 : 49 enodes (cost 332 ) 1.052 * * [simplify]: iteration 1 : 79 enodes (cost 294 ) 1.054 * * [simplify]: iteration 2 : 159 enodes (cost 294 ) 1.057 * * [simplify]: iteration 3 : 330 enodes (cost 292 ) 1.067 * * [simplify]: iteration 4 : 1195 enodes (cost 292 ) 1.117 * * [simplify]: iteration 5 : 5002 enodes (cost 292 ) 1.119 * [simplify]: Simplified to: (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))))) (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 (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))))) (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 (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (pow (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 3) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (log (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)))) (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))) 1.119 * * * [progress]: adding candidates to table 1.196 * [progress]: [Phase 3 of 3] Extracting. 1.196 * * [regime]: Finding splitpoints for: (# # # # # # #) 1.197 * * * [regime-changes]: Trying 1 branch expressions: (N) 1.197 * * * * [regimes]: Trying to branch on N from (# # # # # # #) 1.219 * * * [regime]: Found split indices: #