14.585 * [progress]: [Phase 1 of 3] Setting up. 0.000 * * * [progress]: [1/2] Preparing points 0.036 * * * [progress]: [2/2] Setting up program. 0.037 * [progress]: [Phase 2 of 3] Improving. 0.037 * [simplify]: Simplifying using # : (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 0.051 * * [simplify]: iteration 0 : 72 enodes (cost 11 ) 0.051 * * [simplify]: iteration 1 : 72 enodes (cost 11 ) 0.051 * [simplify]: Simplified to: (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 0.051 * * [progress]: iteration 1 / 4 0.052 * * * [progress]: picking best candidate 0.052 * * * * [pick]: Picked # 0.052 * * * [progress]: localizing error 0.059 * * * [progress]: generating rewritten candidates 0.059 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.066 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.070 * * * [progress]: generating series expansions 0.071 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.071 * [approximate]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 0.071 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.071 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.071 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.071 * [taylor]: Taking taylor expansion of N in N 0.071 * [taylor]: Taking taylor expansion of 1 in N 0.071 * [taylor]: Taking taylor expansion of (log N) in N 0.072 * [taylor]: Taking taylor expansion of N in N 0.072 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.072 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.072 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.072 * [taylor]: Taking taylor expansion of N in N 0.072 * [taylor]: Taking taylor expansion of 1 in N 0.072 * [taylor]: Taking taylor expansion of (log N) in N 0.072 * [taylor]: Taking taylor expansion of N in N 0.078 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 0.078 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.078 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.078 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.078 * [taylor]: Taking taylor expansion of N in N 0.078 * [taylor]: Taking taylor expansion of 1 in N 0.078 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.078 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.078 * [taylor]: Taking taylor expansion of N in N 0.078 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.078 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.078 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.078 * [taylor]: Taking taylor expansion of N in N 0.078 * [taylor]: Taking taylor expansion of 1 in N 0.078 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.078 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.078 * [taylor]: Taking taylor expansion of N in N 0.089 * [approximate]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.089 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.089 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.089 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.089 * [taylor]: Taking taylor expansion of 1 in N 0.089 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.089 * [taylor]: Taking taylor expansion of N in N 0.089 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.089 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.089 * [taylor]: Taking taylor expansion of -1 in N 0.089 * [taylor]: Taking taylor expansion of N in N 0.089 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.089 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.089 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.089 * [taylor]: Taking taylor expansion of 1 in N 0.089 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.089 * [taylor]: Taking taylor expansion of N in N 0.090 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.090 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.090 * [taylor]: Taking taylor expansion of -1 in N 0.090 * [taylor]: Taking taylor expansion of N in N 0.101 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.101 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 0.101 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.101 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.101 * [taylor]: Taking taylor expansion of N in N 0.101 * [taylor]: Taking taylor expansion of 1 in N 0.101 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.101 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.101 * [taylor]: Taking taylor expansion of N in N 0.101 * [taylor]: Taking taylor expansion of 1 in N 0.105 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 0.105 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.105 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.105 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.105 * [taylor]: Taking taylor expansion of N in N 0.105 * [taylor]: Taking taylor expansion of 1 in N 0.105 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.105 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.105 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.105 * [taylor]: Taking taylor expansion of N in N 0.105 * [taylor]: Taking taylor expansion of 1 in N 0.109 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 0.109 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.109 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.109 * [taylor]: Taking taylor expansion of 1 in N 0.109 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.109 * [taylor]: Taking taylor expansion of N in N 0.110 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.110 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.110 * [taylor]: Taking taylor expansion of 1 in N 0.110 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.110 * [taylor]: Taking taylor expansion of N in N 0.114 * * * [progress]: simplifying candidates 0.115 * [simplify]: Simplifying using # : (/.f64 (+.f64 N 1) N) (exp.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (log.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (*.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (*.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (cbrt.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) (cbrt.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (sqrt.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (sqrt.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (-.f64 (pow.f64 (log.f64 (+.f64 N 1)) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (*.f64 (log.f64 (+.f64 N 1)) (log.f64 (+.f64 N 1))) (+.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) (neg.f64 (log.f64 N)) (-.f64 (*.f64 (log.f64 (+.f64 N 1)) (log.f64 (+.f64 N 1))) (*.f64 (log.f64 N) (log.f64 N))) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (+.f64 (sqrt.f64 (log.f64 (+.f64 N 1))) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log.f64 (+.f64 N 1))) (sqrt.f64 (log.f64 N))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (+.f64 (log.f64 (+.f64 (*.f64 N N) (-.f64 (*.f64 1 1) (*.f64 N 1)))) (log.f64 N)) (+.f64 (log.f64 (-.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (cbrt.f64 (+.f64 N 1))) (log.f64 N)) (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 (*.f64 (cbrt.f64 N) (cbrt.f64 N)))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 (sqrt.f64 N))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 1)) (log.f64 (+.f64 N 1)) (log.f64 (+.f64 (pow.f64 N 3) (pow.f64 1 3))) (log.f64 (+.f64 (*.f64 N N) (-.f64 (*.f64 1 1) (*.f64 N 1)))) (log.f64 (-.f64 (*.f64 N N) (*.f64 1 1))) (log.f64 (-.f64 N 1)) (log.f64 (*.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (+.f64 N 1)))) (log.f64 (cbrt.f64 (+.f64 N 1))) (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 1) (log.f64 (+.f64 N 1)) (log.f64 1) (log.f64 (+.f64 N 1)) (exp.f64 (log.f64 (+.f64 N 1))) (log.f64 (log.f64 (+.f64 N 1))) (*.f64 (*.f64 (log.f64 (+.f64 N 1)) (log.f64 (+.f64 N 1))) (log.f64 (+.f64 N 1))) (*.f64 (cbrt.f64 (log.f64 (+.f64 N 1))) (cbrt.f64 (log.f64 (+.f64 N 1)))) (cbrt.f64 (log.f64 (+.f64 N 1))) (sqrt.f64 (log.f64 (+.f64 N 1))) (sqrt.f64 (log.f64 (+.f64 N 1))) (-.f64 N (+.f64 (*.f64 1/2 (pow.f64 N 2)) (log.f64 N))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (-.f64 (+.f64 N (*.f64 1/3 (pow.f64 N 3))) (*.f64 1/2 (pow.f64 N 2))) (-.f64 (/.f64 1 N) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (log.f64 (/.f64 1 N)))) (-.f64 (+.f64 (/.f64 1 N) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (log.f64 (/.f64 -1 N)))) 0.201 * * [simplify]: iteration 0 : 4911 enodes (cost 648 ) 0.201 * * [simplify]: iteration 1 : 4911 enodes (cost 648 ) 0.205 * [simplify]: Simplified to: (/.f64 (+.f64 N 1) N) (/.f64 (+.f64 N 1) N) (log.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (pow.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 3) (*.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (cbrt.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) (cbrt.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (sqrt.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (sqrt.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (-.f64 (pow.f64 (log.f64 (+.f64 N 1)) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (log.f64 (+.f64 N 1)) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) (neg.f64 (log.f64 N)) (-.f64 (*.f64 (log.f64 (+.f64 N 1)) (log.f64 (+.f64 N 1))) (*.f64 (log.f64 N) (log.f64 N))) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (+.f64 (sqrt.f64 (log.f64 (+.f64 N 1))) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log.f64 (+.f64 N 1))) (sqrt.f64 (log.f64 N))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (+.f64 (log.f64 N) (log.f64 (+.f64 (*.f64 N N) (-.f64 1 N)))) (+.f64 (log.f64 N) (log.f64 (-.f64 N 1))) (-.f64 (log.f64 (cbrt.f64 (+.f64 N 1))) (log.f64 N)) (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (*.f64 2 (log.f64 (cbrt.f64 N)))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 (sqrt.f64 N))) (log.f64 (+.f64 N 1)) (log.f64 (+.f64 N 1)) (log.f64 (+.f64 1 (pow.f64 N 3))) (log.f64 (+.f64 (*.f64 N N) (-.f64 1 N))) (log.f64 (-.f64 (*.f64 N N) 1)) (log.f64 (-.f64 N 1)) (*.f64 (log.f64 (cbrt.f64 (+.f64 N 1))) 2) (log.f64 (cbrt.f64 (+.f64 N 1))) (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 1) (log.f64 (+.f64 N 1)) (log.f64 1) (log.f64 (+.f64 N 1)) (+.f64 N 1) (log.f64 (log.f64 (+.f64 N 1))) (pow.f64 (log.f64 (+.f64 N 1)) 3) (*.f64 (cbrt.f64 (log.f64 (+.f64 N 1))) (cbrt.f64 (log.f64 (+.f64 N 1)))) (cbrt.f64 (log.f64 (+.f64 N 1))) (sqrt.f64 (log.f64 (+.f64 N 1))) (sqrt.f64 (log.f64 (+.f64 N 1))) (-.f64 N (+.f64 (log.f64 N) (*.f64 (*.f64 N N) 1/2))) (-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N))) (-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N))) (*.f64 N (+.f64 1 (*.f64 N (+.f64 (*.f64 N 1/3) -1/2)))) (-.f64 (/.f64 1 N) (-.f64 (/.f64 1/2 (*.f64 N N)) (log.f64 N))) (-.f64 (/.f64 1 N) (-.f64 (/.f64 1/2 (*.f64 N N)) (log.f64 N))) 0.206 * * * [progress]: adding candidates to table 0.245 * * [progress]: iteration 2 / 4 0.245 * * * [progress]: picking best candidate 0.247 * * * * [pick]: Picked # 0.247 * * * [progress]: localizing error 0.252 * * * [progress]: generating rewritten candidates 0.252 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.257 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.266 * * * [progress]: generating series expansions 0.266 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.267 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 0.267 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 0.267 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 0.267 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.267 * [taylor]: Taking taylor expansion of N in N 0.267 * [taylor]: Taking taylor expansion of 1 in N 0.267 * [taylor]: Taking taylor expansion of N in N 0.267 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 0.267 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 0.267 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.267 * [taylor]: Taking taylor expansion of N in N 0.267 * [taylor]: Taking taylor expansion of 1 in N 0.267 * [taylor]: Taking taylor expansion of N in N 0.271 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 0.271 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 0.271 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 0.271 * [taylor]: Taking taylor expansion of N in N 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.271 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.271 * [taylor]: Taking taylor expansion of N in N 0.271 * [taylor]: Taking taylor expansion of 1 in N 0.272 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 0.272 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 0.272 * [taylor]: Taking taylor expansion of N in N 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.272 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.272 * [taylor]: Taking taylor expansion of N in N 0.272 * [taylor]: Taking taylor expansion of 1 in N 0.280 * [approximate]: Taking taylor expansion of (log (* -1 (* (- 1 (/ 1 N)) N))) in (N) around 0 0.280 * [taylor]: Taking taylor expansion of (log (* -1 (* (- 1 (/ 1 N)) N))) in N 0.280 * [taylor]: Taking taylor expansion of (* -1 (* (- 1 (/ 1 N)) N)) in N 0.280 * [taylor]: Taking taylor expansion of -1 in N 0.280 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 N)) N) in N 0.280 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.280 * [taylor]: Taking taylor expansion of 1 in N 0.280 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.280 * [taylor]: Taking taylor expansion of N in N 0.280 * [taylor]: Taking taylor expansion of N in N 0.281 * [taylor]: Taking taylor expansion of (log (* -1 (* (- 1 (/ 1 N)) N))) in N 0.281 * [taylor]: Taking taylor expansion of (* -1 (* (- 1 (/ 1 N)) N)) in N 0.281 * [taylor]: Taking taylor expansion of -1 in N 0.281 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 N)) N) in N 0.281 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.281 * [taylor]: Taking taylor expansion of 1 in N 0.281 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.281 * [taylor]: Taking taylor expansion of N in N 0.281 * [taylor]: Taking taylor expansion of N in N 0.290 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.290 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 0.290 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 0.290 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.290 * [taylor]: Taking taylor expansion of N in N 0.290 * [taylor]: Taking taylor expansion of 1 in N 0.290 * [taylor]: Taking taylor expansion of N in N 0.290 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 0.290 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.290 * [taylor]: Taking taylor expansion of N in N 0.290 * [taylor]: Taking taylor expansion of 1 in N 0.290 * [taylor]: Taking taylor expansion of N in N 0.296 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 0.296 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 0.296 * [taylor]: Taking taylor expansion of N in N 0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.296 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.296 * [taylor]: Taking taylor expansion of N in N 0.296 * [taylor]: Taking taylor expansion of 1 in N 0.296 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 0.296 * [taylor]: Taking taylor expansion of N in N 0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.296 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.296 * [taylor]: Taking taylor expansion of N in N 0.296 * [taylor]: Taking taylor expansion of 1 in N 0.307 * [approximate]: Taking taylor expansion of (* -1 (* (- 1 (/ 1 N)) N)) in (N) around 0 0.307 * [taylor]: Taking taylor expansion of (* -1 (* (- 1 (/ 1 N)) N)) in N 0.307 * [taylor]: Taking taylor expansion of -1 in N 0.307 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 N)) N) in N 0.307 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.307 * [taylor]: Taking taylor expansion of 1 in N 0.307 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.307 * [taylor]: Taking taylor expansion of N in N 0.307 * [taylor]: Taking taylor expansion of N in N 0.307 * [taylor]: Taking taylor expansion of (* -1 (* (- 1 (/ 1 N)) N)) in N 0.307 * [taylor]: Taking taylor expansion of -1 in N 0.307 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 N)) N) in N 0.307 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.307 * [taylor]: Taking taylor expansion of 1 in N 0.307 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.307 * [taylor]: Taking taylor expansion of N in N 0.307 * [taylor]: Taking taylor expansion of N in N 0.322 * * * [progress]: simplifying candidates 0.323 * [simplify]: Simplifying using # : (log.f64 (/.f64 (+.f64 N 1) N)) (log.f64 (+.f64 N 1)) (log.f64 N) (log.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (cbrt.f64 (/.f64 (+.f64 N 1) N)))) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (+.f64 N 1))) (*.f64 (cbrt.f64 N) (cbrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N))) (log.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (+.f64 N 1))) (sqrt.f64 N))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 N))) (log.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (+.f64 N 1))) 1)) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) N)) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (*.f64 (cbrt.f64 N) (cbrt.f64 N)))) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (cbrt.f64 N))) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N))) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N))) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) 1)) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) N)) (log.f64 (/.f64 1 (*.f64 (cbrt.f64 N) (cbrt.f64 N)))) (log.f64 (/.f64 (+.f64 N 1) (cbrt.f64 N))) (log.f64 (/.f64 1 (sqrt.f64 N))) (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))) (log.f64 (/.f64 1 1)) (log.f64 (/.f64 (+.f64 N 1) N)) (log.f64 (/.f64 1 (*.f64 (cbrt.f64 N) (cbrt.f64 N)))) (log.f64 (/.f64 (+.f64 N 1) (cbrt.f64 N))) (log.f64 (/.f64 1 (sqrt.f64 N))) (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))) (log.f64 (/.f64 1 1)) (log.f64 (/.f64 (+.f64 N 1) N)) (log.f64 1) (log.f64 (/.f64 (+.f64 N 1) N)) (log.f64 (+.f64 N 1)) (log.f64 (/.f64 1 N)) (exp.f64 (log.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (log.f64 (/.f64 (+.f64 N 1) N))) (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 N 1) N)) (log.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (/.f64 (+.f64 N 1) N))) (*.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 N 1) N))) (cbrt.f64 (log.f64 (/.f64 (+.f64 N 1) N)))) (cbrt.f64 (log.f64 (/.f64 (+.f64 N 1) N))) (sqrt.f64 (log.f64 (/.f64 (+.f64 N 1) N))) (sqrt.f64 (log.f64 (/.f64 (+.f64 N 1) N))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (exp.f64 (/.f64 (+.f64 N 1) N)) (log.f64 (/.f64 (+.f64 N 1) N)) (*.f64 (*.f64 (/.f64 (+.f64 N 1) N) (/.f64 (+.f64 N 1) N)) (/.f64 (+.f64 N 1) N)) (*.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (cbrt.f64 (/.f64 (+.f64 N 1) N))) (cbrt.f64 (/.f64 (+.f64 N 1) N)) (/.f64 (*.f64 (*.f64 (+.f64 N 1) (+.f64 N 1)) (+.f64 N 1)) (*.f64 (*.f64 N N) N)) (sqrt.f64 (/.f64 (+.f64 N 1) N)) (sqrt.f64 (/.f64 (+.f64 N 1) N)) (neg.f64 (+.f64 N 1)) (neg.f64 N) (/.f64 (*.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (+.f64 N 1))) (*.f64 (cbrt.f64 N) (cbrt.f64 N))) (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N)) (/.f64 (*.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (+.f64 N 1))) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 N)) (/.f64 (*.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (+.f64 N 1))) 1) (/.f64 (cbrt.f64 (+.f64 N 1)) N) (/.f64 (sqrt.f64 (+.f64 N 1)) (*.f64 (cbrt.f64 N) (cbrt.f64 N))) (/.f64 (sqrt.f64 (+.f64 N 1)) (cbrt.f64 N)) (/.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N)) (/.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N)) (/.f64 (sqrt.f64 (+.f64 N 1)) 1) (/.f64 (sqrt.f64 (+.f64 N 1)) N) (/.f64 1 (*.f64 (cbrt.f64 N) (cbrt.f64 N))) (/.f64 (+.f64 N 1) (cbrt.f64 N)) (/.f64 1 (sqrt.f64 N)) (/.f64 (+.f64 N 1) (sqrt.f64 N)) (/.f64 1 1) (/.f64 (+.f64 N 1) N) (/.f64 1 (*.f64 (cbrt.f64 N) (cbrt.f64 N))) (/.f64 (+.f64 N 1) (cbrt.f64 N)) (/.f64 1 (sqrt.f64 N)) (/.f64 (+.f64 N 1) (sqrt.f64 N)) (/.f64 1 1) (/.f64 (+.f64 N 1) N) (/.f64 N (+.f64 N 1)) (/.f64 1 N) (*.f64 N (+.f64 (*.f64 N N) (-.f64 (*.f64 1 1) (*.f64 N 1)))) (*.f64 N (-.f64 N 1)) (/.f64 N (cbrt.f64 (+.f64 N 1))) (/.f64 N (sqrt.f64 (+.f64 N 1))) (/.f64 N (+.f64 N 1)) (/.f64 N (+.f64 N 1)) (/.f64 (+.f64 N 1) (*.f64 (cbrt.f64 N) (cbrt.f64 N))) (/.f64 (+.f64 N 1) (sqrt.f64 N)) (/.f64 (+.f64 N 1) 1) (-.f64 N (+.f64 (*.f64 1/2 (pow.f64 N 2)) (log.f64 N))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (+.f64 (/.f64 1 N) 1) (+.f64 (/.f64 1 N) 1) (+.f64 (/.f64 1 N) 1) 0.453 * * [simplify]: iteration 0 : 4931 enodes (cost 940 ) 0.453 * * [simplify]: iteration 1 : 4931 enodes (cost 940 ) 0.458 * [simplify]: Simplified to: (log.f64 (/.f64 (+.f64 N 1) N)) (log.f64 (+.f64 N 1)) (log.f64 N) (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) 2) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (*.f64 2 (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N))) (-.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 N 1)))) (log.f64 (sqrt.f64 N))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 N))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 N 1)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) N)) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (*.f64 (cbrt.f64 N) (cbrt.f64 N)))) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (cbrt.f64 N))) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N))) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N))) (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) N)) (*.f64 (log.f64 (cbrt.f64 N)) -2) (log.f64 (/.f64 (+.f64 N 1) (cbrt.f64 N))) (neg.f64 (log.f64 (sqrt.f64 N))) (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))) (log.f64 1) (log.f64 (/.f64 (+.f64 N 1) N)) (*.f64 (log.f64 (cbrt.f64 N)) -2) (log.f64 (/.f64 (+.f64 N 1) (cbrt.f64 N))) (neg.f64 (log.f64 (sqrt.f64 N))) (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))) (log.f64 1) (log.f64 (/.f64 (+.f64 N 1) N)) (log.f64 1) (log.f64 (/.f64 (+.f64 N 1) N)) (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)) (/.f64 (+.f64 N 1) N) (log.f64 (log.f64 (/.f64 (+.f64 N 1) N))) (pow.f64 (log.f64 (/.f64 (+.f64 N 1) N)) 3) (*.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 N 1) N))) (cbrt.f64 (log.f64 (/.f64 (+.f64 N 1) N)))) (cbrt.f64 (log.f64 (/.f64 (+.f64 N 1) N))) (sqrt.f64 (log.f64 (/.f64 (+.f64 N 1) N))) (sqrt.f64 (log.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (/.f64 (+.f64 N 1) N)) (exp.f64 (/.f64 (+.f64 N 1) N)) (log.f64 (/.f64 (+.f64 N 1) N)) (pow.f64 (/.f64 (+.f64 N 1) N) 3) (*.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (cbrt.f64 (/.f64 (+.f64 N 1) N))) (cbrt.f64 (/.f64 (+.f64 N 1) N)) (pow.f64 (/.f64 (+.f64 N 1) N) 3) (sqrt.f64 (/.f64 (+.f64 N 1) N)) (sqrt.f64 (/.f64 (+.f64 N 1) N)) (-.f64 -1 N) (neg.f64 N) (/.f64 (*.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (+.f64 N 1))) (*.f64 (cbrt.f64 N) (cbrt.f64 N))) (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N)) (/.f64 (*.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (+.f64 N 1))) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 N)) (*.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (+.f64 N 1))) (/.f64 (cbrt.f64 (+.f64 N 1)) N) (/.f64 (sqrt.f64 (+.f64 N 1)) (*.f64 (cbrt.f64 N) (cbrt.f64 N))) (/.f64 (sqrt.f64 (+.f64 N 1)) (cbrt.f64 N)) (/.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N)) (/.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N)) (sqrt.f64 (+.f64 N 1)) (/.f64 (sqrt.f64 (+.f64 N 1)) N) (/.f64 1 (*.f64 (cbrt.f64 N) (cbrt.f64 N))) (/.f64 (+.f64 N 1) (cbrt.f64 N)) (/.f64 1 (sqrt.f64 N)) (/.f64 (+.f64 N 1) (sqrt.f64 N)) 1 (/.f64 (+.f64 N 1) N) (/.f64 1 (*.f64 (cbrt.f64 N) (cbrt.f64 N))) (/.f64 (+.f64 N 1) (cbrt.f64 N)) (/.f64 1 (sqrt.f64 N)) (/.f64 (+.f64 N 1) (sqrt.f64 N)) 1 (/.f64 (+.f64 N 1) N) (/.f64 N (+.f64 N 1)) (/.f64 1 N) (*.f64 N (+.f64 (*.f64 N N) (-.f64 1 N))) (-.f64 (*.f64 N N) N) (/.f64 N (cbrt.f64 (+.f64 N 1))) (/.f64 N (sqrt.f64 (+.f64 N 1))) (/.f64 N (+.f64 N 1)) (/.f64 N (+.f64 N 1)) (/.f64 (+.f64 N 1) (*.f64 (cbrt.f64 N) (cbrt.f64 N))) (/.f64 (+.f64 N 1) (sqrt.f64 N)) (+.f64 N 1) (-.f64 N (+.f64 (log.f64 N) (*.f64 (*.f64 N N) 1/2))) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) (/.f64 (+.f64 N 1) N) (/.f64 (+.f64 N 1) N) (/.f64 (+.f64 N 1) N) 0.459 * * * [progress]: adding candidates to table 0.497 * * [progress]: iteration 3 / 4 0.497 * * * [progress]: picking best candidate 0.500 * * * * [pick]: Picked # 0.500 * * * [progress]: localizing error 0.511 * * * [progress]: generating rewritten candidates 0.511 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.519 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.527 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 0.528 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 2) 0.536 * * * [progress]: generating series expansions 0.536 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.537 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1) N) 1/3)) in (N) around 0 0.537 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1) N) 1/3)) in N 0.537 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1) N) 1/3) in N 0.537 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1) N)))) in N 0.537 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1) N))) in N 0.537 * [taylor]: Taking taylor expansion of 1/3 in N 0.537 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 0.537 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 0.537 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.537 * [taylor]: Taking taylor expansion of N in N 0.537 * [taylor]: Taking taylor expansion of 1 in N 0.537 * [taylor]: Taking taylor expansion of N in N 0.538 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1) N) 1/3)) in N 0.538 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1) N) 1/3) in N 0.538 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1) N)))) in N 0.538 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1) N))) in N 0.538 * [taylor]: Taking taylor expansion of 1/3 in N 0.538 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 0.538 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 0.538 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.538 * [taylor]: Taking taylor expansion of N in N 0.539 * [taylor]: Taking taylor expansion of 1 in N 0.539 * [taylor]: Taking taylor expansion of N in N 0.549 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1)) 1/3)) in (N) around 0 0.549 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1)) 1/3)) in N 0.549 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1)) 1/3) in N 0.549 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1))))) in N 0.549 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1)))) in N 0.549 * [taylor]: Taking taylor expansion of 1/3 in N 0.549 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 0.549 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 0.549 * [taylor]: Taking taylor expansion of N in N 0.549 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) 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 1 in N 0.551 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1)) 1/3)) in N 0.551 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1)) 1/3) in N 0.551 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1))))) in N 0.552 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1)))) in N 0.552 * [taylor]: Taking taylor expansion of 1/3 in N 0.552 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 0.552 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 0.552 * [taylor]: Taking taylor expansion of N in N 0.552 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.552 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.552 * [taylor]: Taking taylor expansion of N in N 0.552 * [taylor]: Taking taylor expansion of 1 in N 0.563 * [approximate]: Taking taylor expansion of (log (* (pow (* (- 1 (/ 1 N)) N) 1/3) (/ 1 (cbrt -1)))) in (N) around 0 0.563 * [taylor]: Taking taylor expansion of (log (* (pow (* (- 1 (/ 1 N)) N) 1/3) (/ 1 (cbrt -1)))) in N 0.563 * [taylor]: Taking taylor expansion of (* (pow (* (- 1 (/ 1 N)) N) 1/3) (/ 1 (cbrt -1))) in N 0.563 * [taylor]: Taking taylor expansion of (pow (* (- 1 (/ 1 N)) N) 1/3) in N 0.563 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (- 1 (/ 1 N)) N)))) in N 0.563 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (- 1 (/ 1 N)) N))) in N 0.563 * [taylor]: Taking taylor expansion of 1/3 in N 0.563 * [taylor]: Taking taylor expansion of (log (* (- 1 (/ 1 N)) N)) in N 0.563 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 N)) N) in N 0.563 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.563 * [taylor]: Taking taylor expansion of 1 in N 0.563 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.563 * [taylor]: Taking taylor expansion of N in N 0.563 * [taylor]: Taking taylor expansion of N in N 0.565 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 0.565 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.565 * [taylor]: Taking taylor expansion of -1 in N 0.566 * [taylor]: Taking taylor expansion of (log (* (pow (* (- 1 (/ 1 N)) N) 1/3) (/ 1 (cbrt -1)))) in N 0.566 * [taylor]: Taking taylor expansion of (* (pow (* (- 1 (/ 1 N)) N) 1/3) (/ 1 (cbrt -1))) in N 0.566 * [taylor]: Taking taylor expansion of (pow (* (- 1 (/ 1 N)) N) 1/3) in N 0.566 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (- 1 (/ 1 N)) N)))) in N 0.566 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (- 1 (/ 1 N)) N))) in N 0.566 * [taylor]: Taking taylor expansion of 1/3 in N 0.566 * [taylor]: Taking taylor expansion of (log (* (- 1 (/ 1 N)) N)) in N 0.566 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 N)) N) in N 0.566 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.566 * [taylor]: Taking taylor expansion of 1 in N 0.566 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.566 * [taylor]: Taking taylor expansion of N in N 0.566 * [taylor]: Taking taylor expansion of N in N 0.567 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 0.567 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.567 * [taylor]: Taking taylor expansion of -1 in N 0.581 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.581 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1) N) 1/3)) in (N) around 0 0.581 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1) N) 1/3)) in N 0.581 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1) N) 1/3) in N 0.581 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1) N)))) in N 0.581 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1) N))) in N 0.582 * [taylor]: Taking taylor expansion of 1/3 in N 0.582 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 0.582 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 0.582 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.582 * [taylor]: Taking taylor expansion of N in N 0.582 * [taylor]: Taking taylor expansion of 1 in N 0.582 * [taylor]: Taking taylor expansion of N in N 0.586 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1) N) 1/3)) in N 0.586 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1) N) 1/3) in N 0.586 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1) N)))) in N 0.586 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1) N))) in N 0.586 * [taylor]: Taking taylor expansion of 1/3 in N 0.586 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 0.586 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 0.586 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.586 * [taylor]: Taking taylor expansion of N in N 0.586 * [taylor]: Taking taylor expansion of 1 in N 0.586 * [taylor]: Taking taylor expansion of N in N 0.595 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1)) 1/3)) in (N) around 0 0.595 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1)) 1/3)) in N 0.595 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1)) 1/3) in N 0.595 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1))))) in N 0.595 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1)))) in N 0.595 * [taylor]: Taking taylor expansion of 1/3 in N 0.595 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 0.595 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 0.595 * [taylor]: Taking taylor expansion of N in N 0.595 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.595 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.595 * [taylor]: Taking taylor expansion of N in N 0.595 * [taylor]: Taking taylor expansion of 1 in N 0.597 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1)) 1/3)) in N 0.597 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1)) 1/3) in N 0.597 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1))))) in N 0.597 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1)))) in N 0.597 * [taylor]: Taking taylor expansion of 1/3 in N 0.597 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 0.597 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 0.597 * [taylor]: Taking taylor expansion of N in N 0.597 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.597 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.597 * [taylor]: Taking taylor expansion of N in N 0.597 * [taylor]: Taking taylor expansion of 1 in N 0.609 * [approximate]: Taking taylor expansion of (log (* (pow (* (- 1 (/ 1 N)) N) 1/3) (/ 1 (cbrt -1)))) in (N) around 0 0.609 * [taylor]: Taking taylor expansion of (log (* (pow (* (- 1 (/ 1 N)) N) 1/3) (/ 1 (cbrt -1)))) in N 0.609 * [taylor]: Taking taylor expansion of (* (pow (* (- 1 (/ 1 N)) N) 1/3) (/ 1 (cbrt -1))) in N 0.609 * [taylor]: Taking taylor expansion of (pow (* (- 1 (/ 1 N)) N) 1/3) in N 0.609 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (- 1 (/ 1 N)) N)))) in N 0.609 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (- 1 (/ 1 N)) N))) in N 0.609 * [taylor]: Taking taylor expansion of 1/3 in N 0.609 * [taylor]: Taking taylor expansion of (log (* (- 1 (/ 1 N)) N)) in N 0.609 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 N)) N) in N 0.609 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.609 * [taylor]: Taking taylor expansion of 1 in N 0.609 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.609 * [taylor]: Taking taylor expansion of N in N 0.609 * [taylor]: Taking taylor expansion of N in N 0.610 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 0.610 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.610 * [taylor]: Taking taylor expansion of -1 in N 0.612 * [taylor]: Taking taylor expansion of (log (* (pow (* (- 1 (/ 1 N)) N) 1/3) (/ 1 (cbrt -1)))) in N 0.612 * [taylor]: Taking taylor expansion of (* (pow (* (- 1 (/ 1 N)) N) 1/3) (/ 1 (cbrt -1))) in N 0.612 * [taylor]: Taking taylor expansion of (pow (* (- 1 (/ 1 N)) N) 1/3) in N 0.612 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (- 1 (/ 1 N)) N)))) in N 0.612 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (- 1 (/ 1 N)) N))) in N 0.612 * [taylor]: Taking taylor expansion of 1/3 in N 0.612 * [taylor]: Taking taylor expansion of (log (* (- 1 (/ 1 N)) N)) in N 0.612 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 N)) N) in N 0.612 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.612 * [taylor]: Taking taylor expansion of 1 in N 0.612 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.612 * [taylor]: Taking taylor expansion of N in N 0.612 * [taylor]: Taking taylor expansion of N in N 0.613 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 0.613 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.613 * [taylor]: Taking taylor expansion of -1 in N 0.628 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 0.628 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 0.628 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.628 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.628 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.628 * [taylor]: Taking taylor expansion of 1/3 in N 0.628 * [taylor]: Taking taylor expansion of (log N) in N 0.628 * [taylor]: Taking taylor expansion of N in N 0.629 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.629 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.629 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.629 * [taylor]: Taking taylor expansion of 1/3 in N 0.629 * [taylor]: Taking taylor expansion of (log N) in N 0.629 * [taylor]: Taking taylor expansion of N in N 0.653 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 0.653 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.653 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.653 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.653 * [taylor]: Taking taylor expansion of 1/3 in N 0.653 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.654 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.654 * [taylor]: Taking taylor expansion of N in N 0.654 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.654 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.654 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.654 * [taylor]: Taking taylor expansion of 1/3 in N 0.654 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.654 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.654 * [taylor]: Taking taylor expansion of N in N 0.680 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 0.680 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.680 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.680 * [taylor]: Taking taylor expansion of -1 in N 0.680 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.681 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.681 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.681 * [taylor]: Taking taylor expansion of 1/3 in N 0.681 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.681 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.681 * [taylor]: Taking taylor expansion of N in N 0.681 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.681 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.681 * [taylor]: Taking taylor expansion of -1 in N 0.682 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.682 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.682 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.682 * [taylor]: Taking taylor expansion of 1/3 in N 0.682 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.682 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.682 * [taylor]: Taking taylor expansion of N in N 0.715 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 2) 0.715 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 0.715 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.715 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.715 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.715 * [taylor]: Taking taylor expansion of 1/3 in N 0.715 * [taylor]: Taking taylor expansion of (log N) in N 0.715 * [taylor]: Taking taylor expansion of N in N 0.716 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.716 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.716 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.716 * [taylor]: Taking taylor expansion of 1/3 in N 0.716 * [taylor]: Taking taylor expansion of (log N) in N 0.716 * [taylor]: Taking taylor expansion of N in N 0.738 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 0.738 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.738 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.738 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.738 * [taylor]: Taking taylor expansion of 1/3 in N 0.738 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.738 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.738 * [taylor]: Taking taylor expansion of N in N 0.739 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.739 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.739 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.739 * [taylor]: Taking taylor expansion of 1/3 in N 0.739 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.739 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.739 * [taylor]: Taking taylor expansion of N in N 0.764 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 0.765 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.765 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.765 * [taylor]: Taking taylor expansion of -1 in N 0.765 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.765 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.765 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.765 * [taylor]: Taking taylor expansion of 1/3 in N 0.765 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.765 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.765 * [taylor]: Taking taylor expansion of N in N 0.766 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.766 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.766 * [taylor]: Taking taylor expansion of -1 in N 0.766 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.766 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.766 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.766 * [taylor]: Taking taylor expansion of 1/3 in N 0.766 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.766 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.766 * [taylor]: Taking taylor expansion of N in N 0.800 * * * [progress]: simplifying candidates 0.864 * [simplify]: Simplifying using # : (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N))) (log.f64 (cbrt.f64 (+.f64 N 1))) (log.f64 (cbrt.f64 N)) (log.f64 (*.f64 (cbrt.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N))) (cbrt.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N))))) (log.f64 (cbrt.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N)))) (log.f64 (sqrt.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N)))) (log.f64 (sqrt.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N)))) (log.f64 (/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 (cbrt.f64 (+.f64 N 1)))) (*.f64 (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 (cbrt.f64 N))))) (log.f64 (/.f64 (cbrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 (cbrt.f64 (+.f64 N 1)))) (cbrt.f64 (*.f64 (cbrt.f64 N) (cbrt.f64 N))))) (log.f64 (/.f64 (cbrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 (cbrt.f64 (+.f64 N 1)))) (cbrt.f64 (sqrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 (sqrt.f64 N)))) (log.f64 (/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 (cbrt.f64 (+.f64 N 1)))) (cbrt.f64 1))) (log.f64 (/.f64 (cbrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 N))) (log.f64 (/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 (cbrt.f64 (+.f64 N 1)))) (sqrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (cbrt.f64 (+.f64 N 1))) (sqrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 (cbrt.f64 (+.f64 N 1)))) 1)) (log.f64 (/.f64 (cbrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 N))) (log.f64 (/.f64 (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (+.f64 N 1)))) (*.f64 (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 (cbrt.f64 N))))) (log.f64 (/.f64 (cbrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (+.f64 N 1)))) (cbrt.f64 (*.f64 (cbrt.f64 N) (cbrt.f64 N))))) (log.f64 (/.f64 (cbrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (+.f64 N 1)))) (cbrt.f64 (sqrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 (sqrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (+.f64 N 1)))) (cbrt.f64 1))) (log.f64 (/.f64 (cbrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 N))) (log.f64 (/.f64 (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (+.f64 N 1)))) (sqrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (cbrt.f64 (+.f64 N 1))) (sqrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (+.f64 N 1)))) 1)) (log.f64 (/.f64 (cbrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 N))) (log.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 N 1))) (*.f64 (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 (cbrt.f64 N))))) (log.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 N 1))) (cbrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 N 1))) (cbrt.f64 (*.f64 (cbrt.f64 N) (cbrt.f64 N))))) (log.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 N 1))) (cbrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 N 1))) (cbrt.f64 (sqrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 N 1))) (cbrt.f64 (sqrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 N 1))) (cbrt.f64 1))) (log.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 N 1))) (cbrt.f64 N))) (log.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 N 1))) (sqrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 N 1))) (sqrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 N 1))) 1)) (log.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 N 1))) (cbrt.f64 N))) (log.f64 (/.f64 (cbrt.f64 1) (*.f64 (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 (cbrt.f64 N))))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 1) (cbrt.f64 (*.f64 (cbrt.f64 N) (cbrt.f64 N))))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 1) (cbrt.f64 (sqrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (sqrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 1) (cbrt.f64 1))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N))) (log.f64 (/.f64 (cbrt.f64 1) (sqrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 1) 1)) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N))) (log.f64 (/.f64 (cbrt.f64 1) (*.f64 (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 (cbrt.f64 N))))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 1) (cbrt.f64 (*.f64 (cbrt.f64 N) (cbrt.f64 N))))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 1) (cbrt.f64 (sqrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (sqrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 1) (cbrt.f64 1))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N))) (log.f64 (/.f64 (cbrt.f64 1) (sqrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 1) 1)) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N))) (log.f64 (/.f64 (sqrt.f64 (cbrt.f64 (+.f64 N 1))) (*.f64 (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 (cbrt.f64 N))))) (log.f64 (/.f64 (sqrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (sqrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 (*.f64 (cbrt.f64 N) (cbrt.f64 N))))) (log.f64 (/.f64 (sqrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (sqrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 (sqrt.f64 N)))) (log.f64 (/.f64 (sqrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 (sqrt.f64 N)))) (log.f64 (/.f64 (sqrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 1))) (log.f64 (/.f64 (sqrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 N))) (log.f64 (/.f64 (sqrt.f64 (cbrt.f64 (+.f64 N 1))) (sqrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (sqrt.f64 (cbrt.f64 (+.f64 N 1))) (sqrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (sqrt.f64 (cbrt.f64 (+.f64 N 1))) 1)) (log.f64 (/.f64 (sqrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 N))) (log.f64 (/.f64 1 (*.f64 (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 (cbrt.f64 N))))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 1 (cbrt.f64 (*.f64 (cbrt.f64 N) (cbrt.f64 N))))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (sqrt.f64 N)))) (log.f64 (/.f64 1 (cbrt.f64 1))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N))) (log.f64 (/.f64 1 (sqrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 1 1)) (log.f64 (/.f64 (cbrt.f64 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(cbrt.f64 (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N)))) (sqrt.f64 (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N)))) (sqrt.f64 (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N)))) (exp.f64 (cbrt.f64 N)) (log.f64 (cbrt.f64 N)) (*.f64 (*.f64 (cbrt.f64 N) (cbrt.f64 N)) (cbrt.f64 N)) (*.f64 (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 (cbrt.f64 N))) (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 (*.f64 (cbrt.f64 N) (cbrt.f64 N))) (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 (sqrt.f64 N)) (cbrt.f64 (sqrt.f64 N)) (cbrt.f64 1) (cbrt.f64 N) (sqrt.f64 (cbrt.f64 N)) (sqrt.f64 (cbrt.f64 N)) (exp.f64 (cbrt.f64 N)) (log.f64 (cbrt.f64 N)) (*.f64 (*.f64 (cbrt.f64 N) (cbrt.f64 N)) (cbrt.f64 N)) (*.f64 (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 (cbrt.f64 N))) (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 (*.f64 (cbrt.f64 N) (cbrt.f64 N))) (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 (sqrt.f64 N)) (cbrt.f64 (sqrt.f64 N)) (cbrt.f64 1) (cbrt.f64 N) (sqrt.f64 (cbrt.f64 N)) (sqrt.f64 (cbrt.f64 N)) (-.f64 (+.f64 (log.f64 (pow.f64 N -1/3)) (*.f64 1/3 N)) (*.f64 1/6 (pow.f64 N 2))) (-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 N))) (*.f64 1/6 (/.f64 1 (pow.f64 N 2)))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 N)) (log.f64 (*.f64 (pow.f64 -1 1/3) (/.f64 1 (cbrt.f64 -1))))) (*.f64 1/6 (/.f64 1 (pow.f64 N 2)))) (-.f64 (+.f64 (log.f64 (pow.f64 N -1/3)) (*.f64 1/3 N)) (*.f64 1/6 (pow.f64 N 2))) (-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 N))) (*.f64 1/6 (/.f64 1 (pow.f64 N 2)))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 N)) (log.f64 (*.f64 (pow.f64 -1 1/3) (/.f64 1 (cbrt.f64 -1))))) (*.f64 1/6 (/.f64 1 (pow.f64 N 2)))) (pow.f64 N 1/3) (pow.f64 (/.f64 1 N) -1/3) (*.f64 (pow.f64 (*.f64 -1 N) 1/3) (cbrt.f64 -1)) (pow.f64 N 1/3) (pow.f64 (/.f64 1 N) -1/3) (*.f64 (pow.f64 (*.f64 -1 N) 1/3) (cbrt.f64 -1)) 0.960 * * [simplify]: iteration 0 : 4905 enodes (cost 3308 ) 0.961 * * [simplify]: iteration 1 : 4905 enodes (cost 3308 ) 0.977 * [simplify]: Simplified to: (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N))) 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(cbrt.f64 (+.f64 N 1)) (sqrt.f64 (cbrt.f64 N)))) (log.f64 (cbrt.f64 1)) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N))) (+.f64 (log.f64 (sqrt.f64 (cbrt.f64 (+.f64 N 1)))) (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 N))) -2)) (log.f64 (/.f64 (sqrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (sqrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 (pow.f64 N 2/3)))) (log.f64 (/.f64 (sqrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (sqrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 (sqrt.f64 N)))) (log.f64 (/.f64 (sqrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 (sqrt.f64 N)))) (log.f64 (/.f64 (sqrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 1))) (log.f64 (/.f64 (sqrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 N))) (log.f64 (/.f64 (sqrt.f64 (cbrt.f64 (+.f64 N 1))) (sqrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (sqrt.f64 (cbrt.f64 (+.f64 N 1))) (sqrt.f64 (cbrt.f64 N)))) (log.f64 (sqrt.f64 (cbrt.f64 (+.f64 N 1)))) (log.f64 (/.f64 (sqrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 N))) (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 N))) -2) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (cbrt.f64 N)))) (neg.f64 (log.f64 (cbrt.f64 (pow.f64 N 2/3)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (cbrt.f64 N)))) (neg.f64 (log.f64 (cbrt.f64 (sqrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (sqrt.f64 N)))) (neg.f64 (log.f64 (cbrt.f64 1))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N))) (neg.f64 (log.f64 (sqrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 (cbrt.f64 N)))) 0 (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N))) 0 (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N))) (log.f64 (cbrt.f64 (+.f64 N 1))) (*.f64 -1/3 (log.f64 N)) (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N)) (log.f64 (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N)))) (pow.f64 (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N))) 3) (*.f64 (cbrt.f64 (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N)))) (cbrt.f64 (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N))))) (cbrt.f64 (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N)))) (sqrt.f64 (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N)))) (sqrt.f64 (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N)))) (exp.f64 (cbrt.f64 N)) (log.f64 (cbrt.f64 N)) N (*.f64 (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 (cbrt.f64 N))) (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 (pow.f64 N 2/3)) (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 (sqrt.f64 N)) (cbrt.f64 (sqrt.f64 N)) (cbrt.f64 1) (cbrt.f64 N) (sqrt.f64 (cbrt.f64 N)) (sqrt.f64 (cbrt.f64 N)) (exp.f64 (cbrt.f64 N)) (log.f64 (cbrt.f64 N)) N (*.f64 (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 (cbrt.f64 N))) (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 (pow.f64 N 2/3)) (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 (sqrt.f64 N)) (cbrt.f64 (sqrt.f64 N)) (cbrt.f64 1) (cbrt.f64 N) (sqrt.f64 (cbrt.f64 N)) (sqrt.f64 (cbrt.f64 N)) (-.f64 (*.f64 N (+.f64 1/3 (*.f64 N -1/6))) (log.f64 (cbrt.f64 N))) (-.f64 (+.f64 (/.f64 1/9 (pow.f64 N 3)) (/.f64 1/3 N)) (/.f64 1/6 (*.f64 N N))) (-.f64 (/.f64 1/3 N) (/.f64 1/6 (*.f64 N N))) (-.f64 (*.f64 N (+.f64 1/3 (*.f64 N -1/6))) (log.f64 (cbrt.f64 N))) (-.f64 (+.f64 (/.f64 1/9 (pow.f64 N 3)) (/.f64 1/3 N)) (/.f64 1/6 (*.f64 N N))) (-.f64 (/.f64 1/3 N) (/.f64 1/6 (*.f64 N N))) (cbrt.f64 N) (pow.f64 (/.f64 1 N) -1/3) (*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 N))) (cbrt.f64 N) (pow.f64 (/.f64 1 N) -1/3) (*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 N))) 0.978 * * * [progress]: adding candidates to table 1.158 * * [progress]: iteration 4 / 4 1.158 * * * [progress]: picking best candidate 1.160 * * * * [pick]: Picked # 1.160 * * * [progress]: localizing error 1.170 * * * [progress]: generating rewritten candidates 1.170 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.177 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 1.180 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.183 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.185 * * * [progress]: generating series expansions 1.185 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.186 * [approximate]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 1.186 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 1.186 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 1.186 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.186 * [taylor]: Taking taylor expansion of N in N 1.186 * [taylor]: Taking taylor expansion of 1 in N 1.186 * [taylor]: Taking taylor expansion of (log N) in N 1.186 * [taylor]: Taking taylor expansion of N in N 1.186 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 1.186 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 1.187 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.187 * [taylor]: Taking taylor expansion of N in N 1.187 * [taylor]: Taking taylor expansion of 1 in N 1.187 * [taylor]: Taking taylor expansion of (log N) in N 1.187 * [taylor]: Taking taylor expansion of N in N 1.192 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 1.192 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 1.192 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1.192 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.192 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.192 * [taylor]: Taking taylor expansion of N in N 1.192 * [taylor]: Taking taylor expansion of 1 in N 1.192 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.192 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.192 * [taylor]: Taking taylor expansion of N in N 1.192 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 1.192 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1.192 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.192 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.192 * [taylor]: Taking taylor expansion of N in N 1.192 * [taylor]: Taking taylor expansion of 1 in N 1.193 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.193 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.193 * [taylor]: Taking taylor expansion of N in N 1.203 * [approximate]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0 1.203 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 1.203 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1.203 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.203 * [taylor]: Taking taylor expansion of 1 in N 1.203 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.203 * [taylor]: Taking taylor expansion of N 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 -1 in N 1.203 * [taylor]: Taking taylor expansion of N in N 1.204 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 1.204 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1.204 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.204 * [taylor]: Taking taylor expansion of 1 in N 1.204 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.204 * [taylor]: Taking taylor expansion of N in N 1.204 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 1.204 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.204 * [taylor]: Taking taylor expansion of -1 in N 1.204 * [taylor]: Taking taylor expansion of N in N 1.214 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 1.215 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 1.215 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 1.215 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.215 * [taylor]: Taking taylor expansion of N in N 1.215 * [taylor]: Taking taylor expansion of 1 in N 1.215 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 1.215 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.215 * [taylor]: Taking taylor expansion of N in N 1.215 * [taylor]: Taking taylor expansion of 1 in N 1.218 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 1.218 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1.218 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.218 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.218 * [taylor]: Taking taylor expansion of N in N 1.218 * [taylor]: Taking taylor expansion of 1 in N 1.218 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1.218 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.218 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.218 * [taylor]: Taking taylor expansion of N in N 1.218 * [taylor]: Taking taylor expansion of 1 in N 1.222 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 1.222 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1.222 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.222 * [taylor]: Taking taylor expansion of 1 in N 1.222 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.222 * [taylor]: Taking taylor expansion of N in N 1.222 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1.222 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.222 * [taylor]: Taking taylor expansion of 1 in N 1.222 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.222 * [taylor]: Taking taylor expansion of N in N 1.226 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.226 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 1.226 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 1.226 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.226 * [taylor]: Taking taylor expansion of N in N 1.226 * [taylor]: Taking taylor expansion of 1 in N 1.226 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 1.226 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.226 * [taylor]: Taking taylor expansion of N in N 1.226 * [taylor]: Taking taylor expansion of 1 in N 1.229 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 1.229 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1.229 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.229 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.229 * [taylor]: Taking taylor expansion of N in N 1.230 * [taylor]: Taking taylor expansion of 1 in N 1.230 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1.230 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.230 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.230 * [taylor]: Taking taylor expansion of N in N 1.230 * [taylor]: Taking taylor expansion of 1 in N 1.235 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 1.235 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1.235 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.235 * [taylor]: Taking taylor expansion of 1 in N 1.235 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.235 * [taylor]: Taking taylor expansion of N in N 1.236 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1.236 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.236 * [taylor]: Taking taylor expansion of 1 in N 1.236 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.236 * [taylor]: Taking taylor expansion of N in N 1.239 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.240 * [approximate]: Taking taylor expansion of (log (log (+ N 1))) in (N) around 0 1.240 * [taylor]: Taking taylor expansion of (log (log (+ N 1))) in N 1.240 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 1.240 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.240 * [taylor]: Taking taylor expansion of N in N 1.240 * [taylor]: Taking taylor expansion of 1 in N 1.240 * [taylor]: Taking taylor expansion of (log (log (+ N 1))) in N 1.240 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 1.240 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.240 * [taylor]: Taking taylor expansion of N in N 1.240 * [taylor]: Taking taylor expansion of 1 in N 1.245 * [approximate]: Taking taylor expansion of (log (log (+ (/ 1 N) 1))) in (N) around 0 1.245 * [taylor]: Taking taylor expansion of (log (log (+ (/ 1 N) 1))) in N 1.245 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1.245 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.245 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.245 * [taylor]: Taking taylor expansion of N in N 1.245 * [taylor]: Taking taylor expansion of 1 in N 1.246 * [taylor]: Taking taylor expansion of (log (log (+ (/ 1 N) 1))) in N 1.246 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1.246 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.246 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.246 * [taylor]: Taking taylor expansion of N in N 1.246 * [taylor]: Taking taylor expansion of 1 in N 1.254 * [approximate]: Taking taylor expansion of (log (log (- 1 (/ 1 N)))) in (N) around 0 1.254 * [taylor]: Taking taylor expansion of (log (log (- 1 (/ 1 N)))) in N 1.254 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1.254 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.254 * [taylor]: Taking taylor expansion of 1 in N 1.254 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.254 * [taylor]: Taking taylor expansion of N in N 1.255 * [taylor]: Taking taylor expansion of (log (log (- 1 (/ 1 N)))) in N 1.255 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1.255 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.255 * [taylor]: Taking taylor expansion of 1 in N 1.255 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.255 * [taylor]: Taking taylor expansion of N in N 1.267 * * * [progress]: simplifying candidates 1.268 * [simplify]: Simplifying using # : (/.f64 (exp.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1))))) N) (exp.f64 (-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (log.f64 N))) (log.f64 (-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (log.f64 N))) (*.f64 (*.f64 (-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (log.f64 N)) (-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (log.f64 N))) (-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (log.f64 N))) (*.f64 (cbrt.f64 (-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (log.f64 N))) (cbrt.f64 (-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (log.f64 N)))) (cbrt.f64 (-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (log.f64 N))) (sqrt.f64 (-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (log.f64 N))) (sqrt.f64 (-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (log.f64 N))) (-.f64 (pow.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (*.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (exp.f64 (log.f64 (log.f64 (+.f64 N 1))))) (+.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (log.f64 N)))) (neg.f64 (log.f64 N)) (-.f64 (*.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (exp.f64 (log.f64 (log.f64 (+.f64 N 1))))) (*.f64 (log.f64 N) (log.f64 N))) (+.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (log.f64 N)) (+.f64 (exp.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 N 1))))) (sqrt.f64 (log.f64 N))) (-.f64 (exp.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 N 1))))) (sqrt.f64 (log.f64 N))) (+.f64 (sqrt.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1))))) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1))))) (sqrt.f64 (log.f64 N))) (-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (log.f64 N)) (-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (log.f64 N)) (-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (log.f64 (*.f64 (cbrt.f64 N) (cbrt.f64 N)))) (-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (log.f64 (sqrt.f64 N))) (-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (log.f64 1)) (log.f64 (+.f64 N 1)) (log.f64 (+.f64 (pow.f64 N 3) (pow.f64 1 3))) (log.f64 (+.f64 (*.f64 N N) (-.f64 (*.f64 1 1) (*.f64 N 1)))) (log.f64 (-.f64 (*.f64 N N) (*.f64 1 1))) (log.f64 (-.f64 N 1)) (log.f64 (*.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (+.f64 N 1)))) (log.f64 (cbrt.f64 (+.f64 N 1))) (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 1) (log.f64 (+.f64 N 1)) (log.f64 1) (log.f64 (+.f64 N 1)) (exp.f64 (log.f64 (+.f64 N 1))) (log.f64 (log.f64 (+.f64 N 1))) (*.f64 (*.f64 (log.f64 (+.f64 N 1)) (log.f64 (+.f64 N 1))) (log.f64 (+.f64 N 1))) (*.f64 (cbrt.f64 (log.f64 (+.f64 N 1))) (cbrt.f64 (log.f64 (+.f64 N 1)))) (cbrt.f64 (log.f64 (+.f64 N 1))) (sqrt.f64 (log.f64 (+.f64 N 1))) (sqrt.f64 (log.f64 (+.f64 N 1))) (exp.f64 1) (exp.f64 (*.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 N 1)))) (cbrt.f64 (log.f64 (log.f64 (+.f64 N 1)))))) (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 N 1))))) (exp.f64 1) (exp.f64 (log.f64 1)) (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (exp.f64 (log.f64 (*.f64 (cbrt.f64 (log.f64 (+.f64 N 1))) (cbrt.f64 (log.f64 (+.f64 N 1)))))) (exp.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 N 1))))) (exp.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 N 1))))) (exp.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 N 1))))) (exp.f64 (log.f64 1)) (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (exp.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1))))) (log.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1))))) (*.f64 (*.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (exp.f64 (log.f64 (log.f64 (+.f64 N 1))))) (exp.f64 (log.f64 (log.f64 (+.f64 N 1))))) (*.f64 (cbrt.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1))))) (cbrt.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))))) (cbrt.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1))))) (sqrt.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1))))) (sqrt.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1))))) (log.f64 (log.f64 (+.f64 N 1))) (log.f64 1) (log.f64 (log.f64 (+.f64 N 1))) (log.f64 (*.f64 (cbrt.f64 (log.f64 (+.f64 N 1))) (cbrt.f64 (log.f64 (+.f64 N 1))))) (log.f64 (cbrt.f64 (log.f64 (+.f64 N 1)))) (log.f64 (sqrt.f64 (log.f64 (+.f64 N 1)))) (log.f64 (sqrt.f64 (log.f64 (+.f64 N 1)))) (log.f64 1) (log.f64 (log.f64 (+.f64 N 1))) (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (log.f64 (log.f64 (log.f64 (+.f64 N 1)))) (*.f64 (*.f64 (log.f64 (log.f64 (+.f64 N 1))) (log.f64 (log.f64 (+.f64 N 1)))) (log.f64 (log.f64 (+.f64 N 1)))) (*.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 N 1)))) (cbrt.f64 (log.f64 (log.f64 (+.f64 N 1))))) (cbrt.f64 (log.f64 (log.f64 (+.f64 N 1)))) (sqrt.f64 (log.f64 (log.f64 (+.f64 N 1)))) (sqrt.f64 (log.f64 (log.f64 (+.f64 N 1)))) (-.f64 N (+.f64 (*.f64 1/2 (pow.f64 N 2)) (log.f64 N))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (-.f64 (+.f64 N (*.f64 1/3 (pow.f64 N 3))) (*.f64 1/2 (pow.f64 N 2))) (-.f64 (/.f64 1 N) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (log.f64 (/.f64 1 N)))) (-.f64 (+.f64 (/.f64 1 N) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (log.f64 (/.f64 -1 N)))) (-.f64 (+.f64 N (*.f64 1/3 (pow.f64 N 3))) (*.f64 1/2 (pow.f64 N 2))) (-.f64 (/.f64 1 N) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (log.f64 (/.f64 1 N)))) (-.f64 (+.f64 (/.f64 1 N) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (log.f64 (/.f64 -1 N)))) (-.f64 (+.f64 (*.f64 5/24 (pow.f64 N 2)) (log.f64 N)) (*.f64 1/2 N)) (-.f64 (+.f64 (log.f64 (neg.f64 (log.f64 (/.f64 1 N)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 N 2) (log.f64 (/.f64 1 N)))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 N 2) (pow.f64 (log.f64 (/.f64 1 N)) 2)))) (/.f64 1 (*.f64 N (log.f64 (/.f64 1 N)))))) (-.f64 (+.f64 (log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) (/.f64 1 (*.f64 N (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) (pow.f64 N 2)))) (*.f64 1/2 (/.f64 1 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (pow.f64 N 2)))))) 1.340 * * [simplify]: iteration 0 : 4920 enodes (cost 1022 ) 1.340 * * [simplify]: iteration 1 : 4920 enodes (cost 1022 ) 1.346 * [simplify]: Simplified to: (/.f64 (+.f64 N 1) N) (/.f64 (+.f64 N 1) N) (log.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (pow.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 3) (*.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (cbrt.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) (cbrt.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (sqrt.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (sqrt.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (-.f64 (pow.f64 (log.f64 (+.f64 N 1)) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log.f64 (+.f64 N 1)) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) (neg.f64 (log.f64 N)) (-.f64 (pow.f64 (log.f64 (+.f64 N 1)) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (+.f64 (sqrt.f64 (log.f64 (+.f64 N 1))) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log.f64 (+.f64 N 1))) (sqrt.f64 (log.f64 N))) (+.f64 (sqrt.f64 (log.f64 (+.f64 N 1))) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log.f64 (+.f64 N 1))) (sqrt.f64 (log.f64 N))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (*.f64 2 (log.f64 (cbrt.f64 N)))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 (sqrt.f64 N))) (log.f64 (+.f64 N 1)) (log.f64 (+.f64 N 1)) (log.f64 (+.f64 1 (pow.f64 N 3))) (log.f64 (+.f64 (*.f64 N N) (-.f64 1 N))) (log.f64 (-.f64 (*.f64 N N) 1)) (log.f64 (-.f64 N 1)) (*.f64 (log.f64 (cbrt.f64 (+.f64 N 1))) 2) (log.f64 (cbrt.f64 (+.f64 N 1))) (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 1) (log.f64 (+.f64 N 1)) (log.f64 1) (log.f64 (+.f64 N 1)) (+.f64 N 1) (log.f64 (log.f64 (+.f64 N 1))) (pow.f64 (log.f64 (+.f64 N 1)) 3) (pow.f64 (cbrt.f64 (log.f64 (+.f64 N 1))) 2) (cbrt.f64 (log.f64 (+.f64 N 1))) (sqrt.f64 (log.f64 (+.f64 N 1))) (sqrt.f64 (log.f64 (+.f64 N 1))) E.f64 (exp.f64 (*.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 N 1)))) (cbrt.f64 (log.f64 (log.f64 (+.f64 N 1)))))) (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 N 1))))) E.f64 1 (log.f64 (+.f64 N 1)) (pow.f64 (cbrt.f64 (log.f64 (+.f64 N 1))) 2) (cbrt.f64 (log.f64 (+.f64 N 1))) (sqrt.f64 (log.f64 (+.f64 N 1))) (sqrt.f64 (log.f64 (+.f64 N 1))) 1 (log.f64 (+.f64 N 1)) (+.f64 N 1) (log.f64 (log.f64 (+.f64 N 1))) (pow.f64 (log.f64 (+.f64 N 1)) 3) (pow.f64 (cbrt.f64 (log.f64 (+.f64 N 1))) 2) (cbrt.f64 (log.f64 (+.f64 N 1))) (sqrt.f64 (log.f64 (+.f64 N 1))) (sqrt.f64 (log.f64 (+.f64 N 1))) (log.f64 (log.f64 (+.f64 N 1))) (log.f64 1) (log.f64 (log.f64 (+.f64 N 1))) (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 N 1)))) 2) (log.f64 (cbrt.f64 (log.f64 (+.f64 N 1)))) (log.f64 (sqrt.f64 (log.f64 (+.f64 N 1)))) (log.f64 (sqrt.f64 (log.f64 (+.f64 N 1)))) (log.f64 1) (log.f64 (log.f64 (+.f64 N 1))) (log.f64 (+.f64 N 1)) (log.f64 (log.f64 (log.f64 (+.f64 N 1)))) (pow.f64 (log.f64 (log.f64 (+.f64 N 1))) 3) (*.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 N 1)))) (cbrt.f64 (log.f64 (log.f64 (+.f64 N 1))))) (cbrt.f64 (log.f64 (log.f64 (+.f64 N 1)))) (sqrt.f64 (log.f64 (log.f64 (+.f64 N 1)))) (sqrt.f64 (log.f64 (log.f64 (+.f64 N 1)))) (-.f64 N (+.f64 (log.f64 N) (*.f64 (*.f64 N N) 1/2))) (-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N))) (-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N))) (+.f64 N (*.f64 (*.f64 N N) (+.f64 (*.f64 N 1/3) -1/2))) (-.f64 (/.f64 1 N) (-.f64 (/.f64 1/2 (*.f64 N N)) (log.f64 N))) (-.f64 (/.f64 1 N) (-.f64 (/.f64 1/2 (*.f64 N N)) (log.f64 N))) (+.f64 N (*.f64 (*.f64 N N) (+.f64 (*.f64 N 1/3) -1/2))) (-.f64 (/.f64 1 N) (-.f64 (/.f64 1/2 (*.f64 N N)) (log.f64 N))) (-.f64 (/.f64 1 N) (-.f64 (/.f64 1/2 (*.f64 N N)) (log.f64 N))) (+.f64 (log.f64 N) (*.f64 N (+.f64 (*.f64 N 5/24) -1/2))) (-.f64 (+.f64 (log.f64 (log.f64 N)) (/.f64 -1/2 (*.f64 N (*.f64 N (log.f64 N))))) (+.f64 (/.f64 1/2 (*.f64 (pow.f64 (log.f64 N) 2) (*.f64 N N))) (/.f64 -1 (*.f64 N (log.f64 N))))) (-.f64 (+.f64 (log.f64 (log.f64 N)) (/.f64 -1/2 (*.f64 N (*.f64 N (log.f64 N))))) (+.f64 (/.f64 1/2 (*.f64 (pow.f64 (log.f64 N) 2) (*.f64 N N))) (/.f64 -1 (*.f64 N (log.f64 N))))) 1.346 * * * [progress]: adding candidates to table 1.392 * [progress]: [Phase 3 of 3] Extracting. 1.392 * * [regime]: Finding splitpoints for: (# # #) 1.393 * * * [regime-changes]: Trying 1 branch expressions: (N) 1.393 * * * * [regimes]: Trying to branch on N from (# # #) 1.406 * * * [regime]: Found split indices: #