6.760 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.026 * * * [progress]: [2/2] Setting up program. 0.028 * [progress]: [Phase 2 of 3] Improving. 0.028 * [simplify]: Simplifying using # : (- (atan (+ N 1.0)) (atan N)) 0.030 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.031 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.032 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.032 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.033 * * [progress]: iteration 1 / 4 0.033 * * * [progress]: picking best candidate 0.034 * * * * [pick]: Picked # 0.034 * * * [progress]: localizing error 0.040 * * * [progress]: generating rewritten candidates 0.040 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.042 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.043 * * * [progress]: generating series expansions 0.043 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.043 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.043 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.043 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.044 * [taylor]: Taking taylor expansion of (atan N) in N 0.044 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.044 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.044 * [taylor]: Taking taylor expansion of (atan N) in N 0.048 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.048 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.048 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.048 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.048 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.048 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.048 * [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 0.054 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.054 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.054 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.054 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.055 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.055 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.055 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.055 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.055 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.055 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.055 * * * [progress]: simplifying candidates 0.056 * [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)) 0.058 * * [simplify]: iteration 0 : 75 enodes (cost 154 ) 0.060 * * [simplify]: iteration 1 : 145 enodes (cost 145 ) 0.063 * * [simplify]: iteration 2 : 289 enodes (cost 143 ) 0.067 * * [simplify]: iteration 3 : 681 enodes (cost 142 ) 0.081 * * [simplify]: iteration 4 : 2491 enodes (cost 142 ) 0.129 * * [simplify]: iteration 5 : 5001 enodes (cost 142 ) 0.130 * [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)) 0.130 * * * [progress]: adding candidates to table 0.178 * * [progress]: iteration 2 / 4 0.178 * * * [progress]: picking best candidate 0.182 * * * * [pick]: Picked # 0.182 * * * [progress]: localizing error 0.188 * * * [progress]: generating rewritten candidates 0.188 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.188 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.201 * * * [progress]: generating series expansions 0.201 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.201 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.201 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.201 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.202 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.202 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.202 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.203 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.203 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.203 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.203 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.203 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 0.203 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.203 * [taylor]: Taking taylor expansion of N in N 0.203 * [taylor]: Taking taylor expansion of (+ N 1.0) 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 (+ N 1.0)) in N 0.204 * [taylor]: Taking taylor expansion of N in N 0.204 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.204 * [taylor]: Taking taylor expansion of N in N 0.204 * [taylor]: Taking taylor expansion of 1.0 in N 0.213 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 0.213 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.213 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.213 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.213 * [taylor]: Taking taylor expansion of N in N 0.213 * [taylor]: Taking taylor expansion of 1.0 in N 0.213 * [taylor]: Taking taylor expansion of N in N 0.214 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.214 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.214 * [taylor]: Taking taylor expansion of N in N 0.214 * [taylor]: Taking taylor expansion of 1.0 in N 0.214 * [taylor]: Taking taylor expansion of N in N 0.224 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 0.224 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.224 * [taylor]: Taking taylor expansion of -1 in N 0.224 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.224 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.224 * [taylor]: Taking taylor expansion of 1.0 in N 0.224 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.224 * [taylor]: Taking taylor expansion of N in N 0.224 * [taylor]: Taking taylor expansion of N in N 0.225 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.225 * [taylor]: Taking taylor expansion of -1 in N 0.225 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.225 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.225 * [taylor]: Taking taylor expansion of 1.0 in N 0.225 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.225 * [taylor]: Taking taylor expansion of N in N 0.225 * [taylor]: Taking taylor expansion of N in N 0.243 * * * [progress]: simplifying candidates 0.244 * [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)) 0.247 * * [simplify]: iteration 0 : 121 enodes (cost 151 ) 0.250 * * [simplify]: iteration 1 : 432 enodes (cost 127 ) 0.259 * * [simplify]: iteration 2 : 2321 enodes (cost 127 ) 0.296 * * [simplify]: iteration 3 : 5002 enodes (cost 127 ) 0.297 * [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) 0.297 * * * [progress]: adding candidates to table 0.352 * * [progress]: iteration 3 / 4 0.352 * * * [progress]: picking best candidate 0.362 * * * * [pick]: Picked # 0.362 * * * [progress]: localizing error 0.374 * * * [progress]: generating rewritten candidates 0.374 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 0.375 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2) 0.375 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 1) 0.376 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.376 * * * [progress]: generating series expansions 0.377 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 0.377 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 0.377 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.377 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.377 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.377 * [taylor]: Taking taylor expansion of 1/3 in N 0.377 * [taylor]: Taking taylor expansion of (log N) in N 0.377 * [taylor]: Taking taylor expansion of N in N 0.378 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.378 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.378 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.378 * [taylor]: Taking taylor expansion of 1/3 in N 0.378 * [taylor]: Taking taylor expansion of (log N) in N 0.378 * [taylor]: Taking taylor expansion of N in N 0.424 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 0.424 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.424 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.424 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.424 * [taylor]: Taking taylor expansion of 1/3 in N 0.424 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.424 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.424 * [taylor]: Taking taylor expansion of N in N 0.425 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.425 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.425 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.425 * [taylor]: Taking taylor expansion of 1/3 in N 0.425 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.425 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.425 * [taylor]: Taking taylor expansion of N in N 0.482 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 0.482 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.482 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.482 * [taylor]: Taking taylor expansion of -1 in N 0.482 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.483 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.483 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.483 * [taylor]: Taking taylor expansion of 1/3 in N 0.483 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.483 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.483 * [taylor]: Taking taylor expansion of N in N 0.483 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.483 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.483 * [taylor]: Taking taylor expansion of -1 in N 0.484 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.484 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.484 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.484 * [taylor]: Taking taylor expansion of 1/3 in N 0.484 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.484 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.484 * [taylor]: Taking taylor expansion of N in N 0.551 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2) 0.551 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 0.552 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.552 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.552 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.552 * [taylor]: Taking taylor expansion of 1/3 in N 0.552 * [taylor]: Taking taylor expansion of (log N) in N 0.552 * [taylor]: Taking taylor expansion of N in N 0.552 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.552 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.552 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.552 * [taylor]: Taking taylor expansion of 1/3 in N 0.552 * [taylor]: Taking taylor expansion of (log N) in N 0.552 * [taylor]: Taking taylor expansion of N in N 0.605 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 0.605 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.605 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.605 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.605 * [taylor]: Taking taylor expansion of 1/3 in N 0.605 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.605 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.605 * [taylor]: Taking taylor expansion of N in N 0.606 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.606 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.606 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.606 * [taylor]: Taking taylor expansion of 1/3 in N 0.606 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.606 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.606 * [taylor]: Taking taylor expansion of N in N 0.655 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 0.655 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 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 N) 1/3) in N 0.656 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.656 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.656 * [taylor]: Taking taylor expansion of 1/3 in N 0.656 * [taylor]: Taking taylor expansion of (log (/ 1 N)) 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 (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.657 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.657 * [taylor]: Taking taylor expansion of -1 in N 0.658 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.658 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.658 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.658 * [taylor]: Taking taylor expansion of 1/3 in N 0.658 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.658 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.658 * [taylor]: Taking taylor expansion of N in N 0.724 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 1) 0.724 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 0.724 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.724 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.724 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.724 * [taylor]: Taking taylor expansion of 1/3 in N 0.724 * [taylor]: Taking taylor expansion of (log N) in N 0.724 * [taylor]: Taking taylor expansion of N in N 0.725 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.725 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.725 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.725 * [taylor]: Taking taylor expansion of 1/3 in N 0.725 * [taylor]: Taking taylor expansion of (log N) in N 0.725 * [taylor]: Taking taylor expansion of N in N 0.778 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 0.778 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.778 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.778 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.778 * [taylor]: Taking taylor expansion of 1/3 in N 0.778 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.778 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.778 * [taylor]: Taking taylor expansion of N in N 0.779 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.779 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.779 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.779 * [taylor]: Taking taylor expansion of 1/3 in N 0.779 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.779 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.779 * [taylor]: Taking taylor expansion of N in N 0.834 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 0.834 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.834 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.834 * [taylor]: Taking taylor expansion of -1 in N 0.835 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.835 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.835 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.835 * [taylor]: Taking taylor expansion of 1/3 in N 0.835 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.835 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.835 * [taylor]: Taking taylor expansion of N in N 0.836 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.836 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.836 * [taylor]: Taking taylor expansion of -1 in N 0.836 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.837 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.837 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.837 * [taylor]: Taking taylor expansion of 1/3 in N 0.837 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.837 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.837 * [taylor]: Taking taylor expansion of N in N 0.903 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.903 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.903 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.903 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.904 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.904 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.904 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.905 * [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 0.905 * [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 0.907 * [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 0.909 * * * [progress]: simplifying candidates 0.909 * [simplify]: Simplifying using # : (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (log (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))) (exp (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))) (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))) (* (* (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N)))) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))) (sqrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))) (sqrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.912 * * [simplify]: iteration 0 : 75 enodes (cost 232 ) 0.914 * * [simplify]: iteration 1 : 164 enodes (cost 204 ) 0.918 * * [simplify]: iteration 2 : 534 enodes (cost 198 ) 0.930 * * [simplify]: iteration 3 : 2409 enodes (cost 194 ) 0.993 * * [simplify]: iteration 4 : 5001 enodes (cost 191 ) 0.994 * [simplify]: Simplified to: (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (pow N 1/3) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (pow N 1/3) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (pow N 1/3) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (log (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))) (exp (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))) (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 3) (sqrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))) (sqrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.994 * * * [progress]: adding candidates to table 1.122 * * [progress]: iteration 4 / 4 1.122 * * * [progress]: picking best candidate 1.133 * * * * [pick]: Picked # 1.133 * * * [progress]: localizing error 1.150 * * * [progress]: generating rewritten candidates 1.150 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 2) 1.151 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 2 1) 1.152 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1 1 2) 1.152 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 1 1 1) 1.153 * * * [progress]: generating series expansions 1.154 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 2) 1.154 * [approximate]: Taking taylor expansion of (pow N 1/9) in (N) around 0 1.154 * [taylor]: Taking taylor expansion of (pow N 1/9) in N 1.154 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log N))) in N 1.154 * [taylor]: Taking taylor expansion of (* 1/9 (log N)) in N 1.154 * [taylor]: Taking taylor expansion of 1/9 in N 1.154 * [taylor]: Taking taylor expansion of (log N) in N 1.154 * [taylor]: Taking taylor expansion of N in N 1.155 * [taylor]: Taking taylor expansion of (pow N 1/9) in N 1.155 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log N))) in N 1.155 * [taylor]: Taking taylor expansion of (* 1/9 (log N)) in N 1.155 * [taylor]: Taking taylor expansion of 1/9 in N 1.155 * [taylor]: Taking taylor expansion of (log N) in N 1.155 * [taylor]: Taking taylor expansion of N in N 1.202 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/9) in (N) around 0 1.202 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/9) in N 1.202 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 N)))) in N 1.202 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 N))) in N 1.202 * [taylor]: Taking taylor expansion of 1/9 in N 1.202 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.202 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.202 * [taylor]: Taking taylor expansion of N in N 1.203 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/9) in N 1.203 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 N)))) in N 1.203 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 N))) in N 1.203 * [taylor]: Taking taylor expansion of 1/9 in N 1.203 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.203 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.203 * [taylor]: Taking taylor expansion of N in N 1.259 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ 1 N) 1/9)) in (N) around 0 1.259 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ 1 N) 1/9)) in N 1.259 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in N 1.259 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in N 1.259 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in N 1.259 * [taylor]: Taking taylor expansion of 1/3 in N 1.259 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in N 1.259 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.259 * [taylor]: Taking taylor expansion of -1 in N 1.263 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/9) in N 1.263 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 N)))) in N 1.263 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 N))) in N 1.263 * [taylor]: Taking taylor expansion of 1/9 in N 1.263 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.263 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.263 * [taylor]: Taking taylor expansion of N in N 1.264 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ 1 N) 1/9)) in N 1.264 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in N 1.264 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in N 1.264 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in N 1.264 * [taylor]: Taking taylor expansion of 1/3 in N 1.264 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in N 1.264 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.264 * [taylor]: Taking taylor expansion of -1 in N 1.267 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/9) in N 1.267 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 N)))) in N 1.267 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 N))) in N 1.267 * [taylor]: Taking taylor expansion of 1/9 in N 1.267 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.267 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.267 * [taylor]: Taking taylor expansion of N in N 1.392 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 2 1) 1.393 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 1.393 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.393 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.393 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.393 * [taylor]: Taking taylor expansion of 1/3 in N 1.393 * [taylor]: Taking taylor expansion of (log N) in N 1.393 * [taylor]: Taking taylor expansion of N in N 1.393 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.393 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.393 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.393 * [taylor]: Taking taylor expansion of 1/3 in N 1.393 * [taylor]: Taking taylor expansion of (log N) in N 1.393 * [taylor]: Taking taylor expansion of N in N 1.446 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 1.446 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.446 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.446 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.446 * [taylor]: Taking taylor expansion of 1/3 in N 1.446 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.446 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.446 * [taylor]: Taking taylor expansion of N in N 1.447 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.447 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.447 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.447 * [taylor]: Taking taylor expansion of 1/3 in N 1.447 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.447 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.447 * [taylor]: Taking taylor expansion of N in N 1.498 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 1.498 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.498 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.498 * [taylor]: Taking taylor expansion of -1 in N 1.499 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.499 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.499 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.499 * [taylor]: Taking taylor expansion of 1/3 in N 1.499 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.499 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.499 * [taylor]: Taking taylor expansion of N in N 1.500 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.500 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.500 * [taylor]: Taking taylor expansion of -1 in N 1.500 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.500 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.501 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.501 * [taylor]: Taking taylor expansion of 1/3 in N 1.501 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.501 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.501 * [taylor]: Taking taylor expansion of N in N 1.568 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1 1 2) 1.568 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 1.568 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.568 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.568 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.568 * [taylor]: Taking taylor expansion of 1/3 in N 1.568 * [taylor]: Taking taylor expansion of (log N) in N 1.568 * [taylor]: Taking taylor expansion of N in N 1.569 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.569 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.569 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.569 * [taylor]: Taking taylor expansion of 1/3 in N 1.569 * [taylor]: Taking taylor expansion of (log N) in N 1.569 * [taylor]: Taking taylor expansion of N in N 1.623 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 1.623 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.623 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.623 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.623 * [taylor]: Taking taylor expansion of 1/3 in N 1.623 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.623 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.623 * [taylor]: Taking taylor expansion of N in N 1.624 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.624 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.624 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.624 * [taylor]: Taking taylor expansion of 1/3 in N 1.624 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.624 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.624 * [taylor]: Taking taylor expansion of N in N 1.863 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 1.864 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.864 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.864 * [taylor]: Taking taylor expansion of -1 in N 1.864 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.864 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.864 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.864 * [taylor]: Taking taylor expansion of 1/3 in N 1.864 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.864 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.864 * [taylor]: Taking taylor expansion of N in N 1.865 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.865 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.865 * [taylor]: Taking taylor expansion of -1 in N 1.866 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.866 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.866 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.866 * [taylor]: Taking taylor expansion of 1/3 in N 1.866 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.866 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.866 * [taylor]: Taking taylor expansion of N in N 1.931 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 1 1 1) 1.931 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 1.931 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.931 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.931 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.932 * [taylor]: Taking taylor expansion of 1/3 in N 1.932 * [taylor]: Taking taylor expansion of (log N) in N 1.932 * [taylor]: Taking taylor expansion of N in N 1.932 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.932 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.932 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.932 * [taylor]: Taking taylor expansion of 1/3 in N 1.932 * [taylor]: Taking taylor expansion of (log N) in N 1.932 * [taylor]: Taking taylor expansion of N in N 1.980 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 1.980 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.980 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.980 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.980 * [taylor]: Taking taylor expansion of 1/3 in N 1.980 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.980 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.980 * [taylor]: Taking taylor expansion of N in N 1.981 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.981 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.981 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.981 * [taylor]: Taking taylor expansion of 1/3 in N 1.981 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.981 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.981 * [taylor]: Taking taylor expansion of N in N 2.036 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 2.036 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 2.036 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.036 * [taylor]: Taking taylor expansion of -1 in N 2.036 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.036 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.036 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.037 * [taylor]: Taking taylor expansion of 1/3 in N 2.037 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.037 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.037 * [taylor]: Taking taylor expansion of N in N 2.037 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 2.037 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.037 * [taylor]: Taking taylor expansion of -1 in N 2.038 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.038 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.038 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.038 * [taylor]: Taking taylor expansion of 1/3 in N 2.038 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.038 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.038 * [taylor]: Taking taylor expansion of N in N 2.104 * * * [progress]: simplifying candidates 2.105 * [simplify]: Simplifying using # : (log (cbrt (cbrt N))) (exp (cbrt (cbrt N))) (cbrt (cbrt (* (cbrt N) (cbrt N)))) (cbrt (cbrt (cbrt N))) (cbrt (cbrt (sqrt N))) (cbrt (cbrt (sqrt N))) (cbrt (cbrt 1)) (cbrt (cbrt N)) (cbrt (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (cbrt (cbrt (cbrt N))) (cbrt (sqrt (cbrt N))) (cbrt (sqrt (cbrt N))) (cbrt 1) (cbrt (cbrt N)) (* (cbrt (cbrt (cbrt N))) (cbrt (cbrt (cbrt N)))) (cbrt (cbrt (cbrt N))) (* (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N))) (sqrt (cbrt (cbrt N))) (sqrt (cbrt (cbrt N))) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (pow N 1/9) (pow (/ 1 N) -1/9) (* (pow (* -1 N) 1/9) (pow (cbrt -1) 1/3)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) 2.108 * * [simplify]: iteration 0 : 71 enodes (cost 191 ) 2.109 * * [simplify]: iteration 1 : 141 enodes (cost 177 ) 2.112 * * [simplify]: iteration 2 : 357 enodes (cost 169 ) 2.119 * * [simplify]: iteration 3 : 1377 enodes (cost 169 ) 2.150 * * [simplify]: iteration 4 : 5001 enodes (cost 169 ) 2.151 * [simplify]: Simplified to: (log (cbrt (cbrt N))) (exp (cbrt (cbrt N))) (cbrt (cbrt (* (cbrt N) (cbrt N)))) (cbrt (cbrt (cbrt N))) (cbrt (cbrt (sqrt N))) (cbrt (cbrt (sqrt N))) (cbrt (cbrt 1)) (cbrt (cbrt N)) (cbrt (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (cbrt (cbrt (cbrt N))) (cbrt (sqrt (cbrt N))) (cbrt (sqrt (cbrt N))) (cbrt 1) (cbrt (cbrt N)) (* (cbrt (cbrt (cbrt N))) (cbrt (cbrt (cbrt N)))) (cbrt (cbrt (cbrt N))) (pow N 1/3) (sqrt (cbrt (cbrt N))) (sqrt (cbrt (cbrt N))) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (pow N 1/3) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (pow N 1/3) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (pow N 1/3) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (pow N 1/9) (pow (/ 1 N) -1/9) (* (pow (* -1 N) 1/9) (pow (cbrt -1) 1/3)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) 2.151 * * * [progress]: adding candidates to table 2.347 * [progress]: [Phase 3 of 3] Extracting. 2.347 * * [regime]: Finding splitpoints for: (# # # # # # #) 2.348 * * * [regime-changes]: Trying 1 branch expressions: (N) 2.348 * * * * [regimes]: Trying to branch on N from (# # # # # # #) 2.376 * * * [regime]: Found split indices: #