5.147 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.042 * * * [progress]: [2/2] Setting up program. 0.044 * [progress]: [Phase 2 of 3] Improving. 0.044 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.046 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.047 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.048 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.049 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.049 * * [progress]: iteration 1 / 4 0.049 * * * [progress]: picking best candidate 0.051 * * * * [pick]: Picked # 0.051 * * * [progress]: localizing error 0.057 * * * [progress]: generating rewritten candidates 0.057 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.060 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.070 * * * [progress]: generating series expansions 0.070 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.070 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.070 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.070 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.070 * [taylor]: Taking taylor expansion of N in N 0.070 * [taylor]: Taking taylor expansion of 1.0 in N 0.071 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.071 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.071 * [taylor]: Taking taylor expansion of N in N 0.071 * [taylor]: Taking taylor expansion of 1.0 in N 0.083 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.083 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.083 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.083 * [taylor]: Taking taylor expansion of N in N 0.083 * [taylor]: Taking taylor expansion of 1.0 in N 0.084 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.084 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.084 * [taylor]: Taking taylor expansion of N in N 0.084 * [taylor]: Taking taylor expansion of 1.0 in N 0.097 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.097 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.097 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.097 * [taylor]: Taking taylor expansion of 1.0 in N 0.097 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.097 * [taylor]: Taking taylor expansion of N in N 0.098 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.098 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.098 * [taylor]: Taking taylor expansion of 1.0 in N 0.098 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.098 * [taylor]: Taking taylor expansion of N in N 0.113 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.113 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.113 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.113 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.113 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.113 * [taylor]: Taking taylor expansion of N in N 0.113 * [taylor]: Taking taylor expansion of 1.0 in N 0.113 * [taylor]: Taking taylor expansion of (log N) in N 0.114 * [taylor]: Taking taylor expansion of N in N 0.114 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.114 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.114 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.114 * [taylor]: Taking taylor expansion of N in N 0.114 * [taylor]: Taking taylor expansion of 1.0 in N 0.114 * [taylor]: Taking taylor expansion of (log N) in N 0.114 * [taylor]: Taking taylor expansion of N in N 0.136 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.136 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.136 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.136 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.136 * [taylor]: Taking taylor expansion of N in N 0.136 * [taylor]: Taking taylor expansion of 1.0 in N 0.137 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.137 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.137 * [taylor]: Taking taylor expansion of N in N 0.137 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.137 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.137 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.137 * [taylor]: Taking taylor expansion of N in N 0.138 * [taylor]: Taking taylor expansion of 1.0 in N 0.138 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.138 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.138 * [taylor]: Taking taylor expansion of N in N 0.169 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.169 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.169 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.169 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.169 * [taylor]: Taking taylor expansion of 1.0 in N 0.169 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.169 * [taylor]: Taking taylor expansion of N in N 0.170 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.170 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.170 * [taylor]: Taking taylor expansion of -1 in N 0.170 * [taylor]: Taking taylor expansion of N in N 0.171 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.171 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.171 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.171 * [taylor]: Taking taylor expansion of 1.0 in N 0.171 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.171 * [taylor]: Taking taylor expansion of N in N 0.172 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.172 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.172 * [taylor]: Taking taylor expansion of -1 in N 0.172 * [taylor]: Taking taylor expansion of N in N 0.209 * * * [progress]: simplifying candidates 0.210 * [simplify]: Simplifying using # : (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.215 * * [simplify]: iteration 0 : 277 enodes (cost 598 ) 0.220 * * [simplify]: iteration 1 : 837 enodes (cost 444 ) 0.236 * * [simplify]: iteration 2 : 3748 enodes (cost 347 ) 0.329 * * [simplify]: iteration 3 : 5001 enodes (cost 345 ) 0.331 * [simplify]: Simplified to: (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (log (/ 1 N)) (log (/ 1 N)) (log (/ 1 N)) (log (/ 1 N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (fma (log (+ N 1.0)) (+ (log (+ N 1.0)) (log N)) (* (log N) (log N))) (log (/ 1 N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (log (/ 1 N)) (fma 1.0 N (- (log 1.0) (* 1/2 (/ (pow N 2) (pow 1.0 2))))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (log N)) (fma 1.0 (/ 1 N) (- (log -1) (fma 0.5 (/ 1 (pow N 2)) (log (/ -1 N))))) (fma 1.0 N (- (log 1.0) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N)))) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) 0.332 * * * [progress]: adding candidates to table 0.446 * * [progress]: iteration 2 / 4 0.446 * * * [progress]: picking best candidate 0.453 * * * * [pick]: Picked # 0.453 * * * [progress]: localizing error 0.457 * * * [progress]: generating rewritten candidates 0.457 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.462 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.469 * * * [progress]: generating series expansions 0.469 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.469 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.469 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.469 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.469 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.469 * [taylor]: Taking taylor expansion of N in N 0.469 * [taylor]: Taking taylor expansion of 1.0 in N 0.469 * [taylor]: Taking taylor expansion of N in N 0.470 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.470 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.470 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.470 * [taylor]: Taking taylor expansion of N in N 0.470 * [taylor]: Taking taylor expansion of 1.0 in N 0.470 * [taylor]: Taking taylor expansion of N in N 0.484 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.485 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.485 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.485 * [taylor]: Taking taylor expansion of N in N 0.485 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.485 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.485 * [taylor]: Taking taylor expansion of N in N 0.485 * [taylor]: Taking taylor expansion of 1.0 in N 0.487 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.487 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.487 * [taylor]: Taking taylor expansion of N in N 0.487 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.487 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.487 * [taylor]: Taking taylor expansion of N in N 0.487 * [taylor]: Taking taylor expansion of 1.0 in N 0.514 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.514 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.514 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.514 * [taylor]: Taking taylor expansion of -1 in N 0.514 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.514 * [taylor]: Taking taylor expansion of N in N 0.514 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.514 * [taylor]: Taking taylor expansion of 1.0 in N 0.514 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.514 * [taylor]: Taking taylor expansion of N in N 0.517 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.517 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.517 * [taylor]: Taking taylor expansion of -1 in N 0.517 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.517 * [taylor]: Taking taylor expansion of N in N 0.517 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.517 * [taylor]: Taking taylor expansion of 1.0 in N 0.518 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.518 * [taylor]: Taking taylor expansion of N in N 0.554 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.555 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.555 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.555 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.555 * [taylor]: Taking taylor expansion of N in N 0.555 * [taylor]: Taking taylor expansion of 1.0 in N 0.555 * [taylor]: Taking taylor expansion of N in N 0.555 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.555 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.555 * [taylor]: Taking taylor expansion of N in N 0.555 * [taylor]: Taking taylor expansion of 1.0 in N 0.555 * [taylor]: Taking taylor expansion of N in N 0.562 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.562 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.562 * [taylor]: Taking taylor expansion of N in N 0.562 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.562 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.562 * [taylor]: Taking taylor expansion of N in N 0.562 * [taylor]: Taking taylor expansion of 1.0 in N 0.562 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.562 * [taylor]: Taking taylor expansion of N in N 0.562 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.562 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.562 * [taylor]: Taking taylor expansion of N in N 0.563 * [taylor]: Taking taylor expansion of 1.0 in N 0.577 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.577 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.577 * [taylor]: Taking taylor expansion of -1 in N 0.577 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.577 * [taylor]: Taking taylor expansion of N in N 0.577 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.577 * [taylor]: Taking taylor expansion of 1.0 in N 0.577 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.577 * [taylor]: Taking taylor expansion of N in N 0.577 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.577 * [taylor]: Taking taylor expansion of -1 in N 0.577 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.577 * [taylor]: Taking taylor expansion of N in N 0.577 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.577 * [taylor]: Taking taylor expansion of 1.0 in N 0.577 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.577 * [taylor]: Taking taylor expansion of N in N 0.602 * * * [progress]: simplifying candidates 0.606 * [simplify]: Simplifying using # : (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ 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)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.610 * * [simplify]: iteration 0 : 243 enodes (cost 383 ) 0.615 * * [simplify]: iteration 1 : 808 enodes (cost 358 ) 0.629 * * [simplify]: iteration 2 : 3663 enodes (cost 347 ) 0.705 * * [simplify]: iteration 3 : 5001 enodes (cost 344 ) 0.708 * [simplify]: Simplified to: (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (fma 2 (log (cbrt (+ N 1.0))) (log (/ 1 (sqrt N)))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ 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)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (+ N 1.0) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (fma N (* 1.0 (- 1.0 N)) (pow N 3)) (* N (- N 1.0)) (fma 1.0 N (- (log 1.0) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N)))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3))) (fma 1.0 (/ 1 N) 1) (fma 1.0 (/ 1 N) 1) (fma 1.0 (/ 1 N) 1) 0.708 * * * [progress]: adding candidates to table 0.800 * * [progress]: iteration 3 / 4 0.800 * * * [progress]: picking best candidate 0.808 * * * * [pick]: Picked # 0.808 * * * [progress]: localizing error 0.817 * * * [progress]: generating rewritten candidates 0.817 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.822 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.825 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.826 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.828 * * * [progress]: generating series expansions 0.828 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.828 * [approximate]: Taking taylor expansion of (- (expm1 (log1p (log (+ N 1.0)))) (log N)) in (N) around 0 0.828 * [taylor]: Taking taylor expansion of (- (expm1 (log1p (log (+ N 1.0)))) (log N)) in N 0.828 * [taylor]: Taking taylor expansion of (expm1 (log1p (log (+ N 1.0)))) in N 0.828 * [taylor]: Rewrote expression to (- (exp (log1p (log (+ N 1.0)))) 1) 0.828 * [taylor]: Taking taylor expansion of (exp (log1p (log (+ N 1.0)))) in N 0.828 * [taylor]: Taking taylor expansion of (log1p (log (+ N 1.0))) in N 0.828 * [taylor]: Rewrote expression to (log (+ 1 (log (+ N 1.0)))) 0.829 * [taylor]: Taking taylor expansion of (+ 1 (log (+ N 1.0))) in N 0.829 * [taylor]: Taking taylor expansion of 1 in N 0.829 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.829 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.829 * [taylor]: Taking taylor expansion of N in N 0.829 * [taylor]: Taking taylor expansion of 1.0 in N 0.832 * [taylor]: Taking taylor expansion of 1 in N 0.832 * [taylor]: Taking taylor expansion of (log N) in N 0.832 * [taylor]: Taking taylor expansion of N in N 0.833 * [taylor]: Taking taylor expansion of (- (expm1 (log1p (log (+ N 1.0)))) (log N)) in N 0.833 * [taylor]: Taking taylor expansion of (expm1 (log1p (log (+ N 1.0)))) in N 0.833 * [taylor]: Rewrote expression to (- (exp (log1p (log (+ N 1.0)))) 1) 0.833 * [taylor]: Taking taylor expansion of (exp (log1p (log (+ N 1.0)))) in N 0.833 * [taylor]: Taking taylor expansion of (log1p (log (+ N 1.0))) in N 0.833 * [taylor]: Rewrote expression to (log (+ 1 (log (+ N 1.0)))) 0.833 * [taylor]: Taking taylor expansion of (+ 1 (log (+ N 1.0))) in N 0.833 * [taylor]: Taking taylor expansion of 1 in N 0.833 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.833 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.833 * [taylor]: Taking taylor expansion of N in N 0.833 * [taylor]: Taking taylor expansion of 1.0 in N 0.837 * [taylor]: Taking taylor expansion of 1 in N 0.837 * [taylor]: Taking taylor expansion of (log N) in N 0.837 * [taylor]: Taking taylor expansion of N in N 0.909 * [approximate]: Taking taylor expansion of (- (expm1 (log1p (log (+ (/ 1 N) 1.0)))) (log (/ 1 N))) in (N) around 0 0.909 * [taylor]: Taking taylor expansion of (- (expm1 (log1p (log (+ (/ 1 N) 1.0)))) (log (/ 1 N))) in N 0.909 * [taylor]: Taking taylor expansion of (expm1 (log1p (log (+ (/ 1 N) 1.0)))) in N 0.909 * [taylor]: Rewrote expression to (- (exp (log1p (log (+ (/ 1 N) 1.0)))) 1) 0.909 * [taylor]: Taking taylor expansion of (exp (log1p (log (+ (/ 1 N) 1.0)))) in N 0.909 * [taylor]: Taking taylor expansion of (log1p (log (+ (/ 1 N) 1.0))) in N 0.909 * [taylor]: Rewrote expression to (log (+ 1 (log (+ (/ 1 N) 1.0)))) 0.909 * [taylor]: Taking taylor expansion of (+ 1 (log (+ (/ 1 N) 1.0))) in N 0.909 * [taylor]: Taking taylor expansion of 1 in N 0.909 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.909 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.909 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.909 * [taylor]: Taking taylor expansion of N in N 0.910 * [taylor]: Taking taylor expansion of 1.0 in N 0.911 * [taylor]: Taking taylor expansion of 1 in N 0.911 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.911 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.911 * [taylor]: Taking taylor expansion of N in N 0.911 * [taylor]: Taking taylor expansion of (- (expm1 (log1p (log (+ (/ 1 N) 1.0)))) (log (/ 1 N))) in N 0.911 * [taylor]: Taking taylor expansion of (expm1 (log1p (log (+ (/ 1 N) 1.0)))) in N 0.911 * [taylor]: Rewrote expression to (- (exp (log1p (log (+ (/ 1 N) 1.0)))) 1) 0.911 * [taylor]: Taking taylor expansion of (exp (log1p (log (+ (/ 1 N) 1.0)))) in N 0.911 * [taylor]: Taking taylor expansion of (log1p (log (+ (/ 1 N) 1.0))) in N 0.911 * [taylor]: Rewrote expression to (log (+ 1 (log (+ (/ 1 N) 1.0)))) 0.911 * [taylor]: Taking taylor expansion of (+ 1 (log (+ (/ 1 N) 1.0))) in N 0.911 * [taylor]: Taking taylor expansion of 1 in N 0.911 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.912 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.912 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.912 * [taylor]: Taking taylor expansion of N in N 0.912 * [taylor]: Taking taylor expansion of 1.0 in N 0.913 * [taylor]: Taking taylor expansion of 1 in N 0.913 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.913 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.913 * [taylor]: Taking taylor expansion of N in N 0.962 * [approximate]: Taking taylor expansion of (- (expm1 (log1p (log (- 1.0 (/ 1 N))))) (log (/ -1 N))) in (N) around 0 0.962 * [taylor]: Taking taylor expansion of (- (expm1 (log1p (log (- 1.0 (/ 1 N))))) (log (/ -1 N))) in N 0.962 * [taylor]: Taking taylor expansion of (expm1 (log1p (log (- 1.0 (/ 1 N))))) in N 0.962 * [taylor]: Rewrote expression to (- (exp (log1p (log (- 1.0 (/ 1 N))))) 1) 0.962 * [taylor]: Taking taylor expansion of (exp (log1p (log (- 1.0 (/ 1 N))))) in N 0.962 * [taylor]: Taking taylor expansion of (log1p (log (- 1.0 (/ 1 N)))) in N 0.962 * [taylor]: Rewrote expression to (log (+ 1 (log (- 1.0 (/ 1 N))))) 0.962 * [taylor]: Taking taylor expansion of (+ 1 (log (- 1.0 (/ 1 N)))) in N 0.962 * [taylor]: Taking taylor expansion of 1 in N 0.962 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.962 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.962 * [taylor]: Taking taylor expansion of 1.0 in N 0.962 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.962 * [taylor]: Taking taylor expansion of N in N 0.966 * [taylor]: Taking taylor expansion of 1 in N 0.966 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.966 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.966 * [taylor]: Taking taylor expansion of -1 in N 0.966 * [taylor]: Taking taylor expansion of N in N 0.966 * [taylor]: Taking taylor expansion of (- (expm1 (log1p (log (- 1.0 (/ 1 N))))) (log (/ -1 N))) in N 0.966 * [taylor]: Taking taylor expansion of (expm1 (log1p (log (- 1.0 (/ 1 N))))) in N 0.966 * [taylor]: Rewrote expression to (- (exp (log1p (log (- 1.0 (/ 1 N))))) 1) 0.967 * [taylor]: Taking taylor expansion of (exp (log1p (log (- 1.0 (/ 1 N))))) in N 0.967 * [taylor]: Taking taylor expansion of (log1p (log (- 1.0 (/ 1 N)))) in N 0.967 * [taylor]: Rewrote expression to (log (+ 1 (log (- 1.0 (/ 1 N))))) 0.967 * [taylor]: Taking taylor expansion of (+ 1 (log (- 1.0 (/ 1 N)))) in N 0.967 * [taylor]: Taking taylor expansion of 1 in N 0.967 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.967 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.967 * [taylor]: Taking taylor expansion of 1.0 in N 0.967 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.967 * [taylor]: Taking taylor expansion of N in N 0.970 * [taylor]: Taking taylor expansion of 1 in N 0.970 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.970 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.970 * [taylor]: Taking taylor expansion of -1 in N 0.970 * [taylor]: Taking taylor expansion of N in N 1.053 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 1.053 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 1.053 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.053 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.053 * [taylor]: Taking taylor expansion of N in N 1.054 * [taylor]: Taking taylor expansion of 1.0 in N 1.054 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.054 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.054 * [taylor]: Taking taylor expansion of N in N 1.054 * [taylor]: Taking taylor expansion of 1.0 in N 1.066 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 1.066 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.066 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.066 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.066 * [taylor]: Taking taylor expansion of N in N 1.067 * [taylor]: Taking taylor expansion of 1.0 in N 1.067 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.067 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.067 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.067 * [taylor]: Taking taylor expansion of N in N 1.068 * [taylor]: Taking taylor expansion of 1.0 in N 1.080 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 1.080 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.080 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.080 * [taylor]: Taking taylor expansion of 1.0 in N 1.080 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.080 * [taylor]: Taking taylor expansion of N in N 1.081 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.081 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.081 * [taylor]: Taking taylor expansion of 1.0 in N 1.081 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.081 * [taylor]: Taking taylor expansion of N in N 1.096 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.096 * [approximate]: Taking taylor expansion of (expm1 (log1p (log (+ N 1.0)))) in (N) around 0 1.096 * [taylor]: Taking taylor expansion of (expm1 (log1p (log (+ N 1.0)))) in N 1.096 * [taylor]: Rewrote expression to (- (exp (log1p (log (+ N 1.0)))) 1) 1.096 * [taylor]: Taking taylor expansion of (exp (log1p (log (+ N 1.0)))) in N 1.096 * [taylor]: Taking taylor expansion of (log1p (log (+ N 1.0))) in N 1.097 * [taylor]: Rewrote expression to (log (+ 1 (log (+ N 1.0)))) 1.097 * [taylor]: Taking taylor expansion of (+ 1 (log (+ N 1.0))) in N 1.097 * [taylor]: Taking taylor expansion of 1 in N 1.097 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.097 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.097 * [taylor]: Taking taylor expansion of N in N 1.097 * [taylor]: Taking taylor expansion of 1.0 in N 1.103 * [taylor]: Taking taylor expansion of 1 in N 1.103 * [taylor]: Taking taylor expansion of (expm1 (log1p (log (+ N 1.0)))) in N 1.104 * [taylor]: Rewrote expression to (- (exp (log1p (log (+ N 1.0)))) 1) 1.104 * [taylor]: Taking taylor expansion of (exp (log1p (log (+ N 1.0)))) in N 1.104 * [taylor]: Taking taylor expansion of (log1p (log (+ N 1.0))) in N 1.104 * [taylor]: Rewrote expression to (log (+ 1 (log (+ N 1.0)))) 1.104 * [taylor]: Taking taylor expansion of (+ 1 (log (+ N 1.0))) in N 1.104 * [taylor]: Taking taylor expansion of 1 in N 1.104 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.104 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.104 * [taylor]: Taking taylor expansion of N in N 1.104 * [taylor]: Taking taylor expansion of 1.0 in N 1.108 * [taylor]: Taking taylor expansion of 1 in N 1.170 * [approximate]: Taking taylor expansion of (expm1 (log1p (log (+ (/ 1 N) 1.0)))) in (N) around 0 1.170 * [taylor]: Taking taylor expansion of (expm1 (log1p (log (+ (/ 1 N) 1.0)))) in N 1.170 * [taylor]: Rewrote expression to (- (exp (log1p (log (+ (/ 1 N) 1.0)))) 1) 1.170 * [taylor]: Taking taylor expansion of (exp (log1p (log (+ (/ 1 N) 1.0)))) in N 1.170 * [taylor]: Taking taylor expansion of (log1p (log (+ (/ 1 N) 1.0))) in N 1.170 * [taylor]: Rewrote expression to (log (+ 1 (log (+ (/ 1 N) 1.0)))) 1.170 * [taylor]: Taking taylor expansion of (+ 1 (log (+ (/ 1 N) 1.0))) in N 1.170 * [taylor]: Taking taylor expansion of 1 in N 1.171 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.171 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.171 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.171 * [taylor]: Taking taylor expansion of N in N 1.171 * [taylor]: Taking taylor expansion of 1.0 in N 1.172 * [taylor]: Taking taylor expansion of 1 in N 1.172 * [taylor]: Taking taylor expansion of (expm1 (log1p (log (+ (/ 1 N) 1.0)))) in N 1.172 * [taylor]: Rewrote expression to (- (exp (log1p (log (+ (/ 1 N) 1.0)))) 1) 1.172 * [taylor]: Taking taylor expansion of (exp (log1p (log (+ (/ 1 N) 1.0)))) in N 1.172 * [taylor]: Taking taylor expansion of (log1p (log (+ (/ 1 N) 1.0))) in N 1.172 * [taylor]: Rewrote expression to (log (+ 1 (log (+ (/ 1 N) 1.0)))) 1.172 * [taylor]: Taking taylor expansion of (+ 1 (log (+ (/ 1 N) 1.0))) in N 1.172 * [taylor]: Taking taylor expansion of 1 in N 1.172 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.172 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.172 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.172 * [taylor]: Taking taylor expansion of N in N 1.172 * [taylor]: Taking taylor expansion of 1.0 in N 1.173 * [taylor]: Taking taylor expansion of 1 in N 1.195 * [approximate]: Taking taylor expansion of (expm1 (log1p (log (- 1.0 (/ 1 N))))) in (N) around 0 1.195 * [taylor]: Taking taylor expansion of (expm1 (log1p (log (- 1.0 (/ 1 N))))) in N 1.195 * [taylor]: Rewrote expression to (- (exp (log1p (log (- 1.0 (/ 1 N))))) 1) 1.196 * [taylor]: Taking taylor expansion of (exp (log1p (log (- 1.0 (/ 1 N))))) in N 1.196 * [taylor]: Taking taylor expansion of (log1p (log (- 1.0 (/ 1 N)))) in N 1.196 * [taylor]: Rewrote expression to (log (+ 1 (log (- 1.0 (/ 1 N))))) 1.196 * [taylor]: Taking taylor expansion of (+ 1 (log (- 1.0 (/ 1 N)))) in N 1.196 * [taylor]: Taking taylor expansion of 1 in N 1.196 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.196 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.196 * [taylor]: Taking taylor expansion of 1.0 in N 1.196 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.196 * [taylor]: Taking taylor expansion of N in N 1.199 * [taylor]: Taking taylor expansion of 1 in N 1.199 * [taylor]: Taking taylor expansion of (expm1 (log1p (log (- 1.0 (/ 1 N))))) in N 1.199 * [taylor]: Rewrote expression to (- (exp (log1p (log (- 1.0 (/ 1 N))))) 1) 1.199 * [taylor]: Taking taylor expansion of (exp (log1p (log (- 1.0 (/ 1 N))))) in N 1.199 * [taylor]: Taking taylor expansion of (log1p (log (- 1.0 (/ 1 N)))) in N 1.199 * [taylor]: Rewrote expression to (log (+ 1 (log (- 1.0 (/ 1 N))))) 1.199 * [taylor]: Taking taylor expansion of (+ 1 (log (- 1.0 (/ 1 N)))) in N 1.199 * [taylor]: Taking taylor expansion of 1 in N 1.199 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.199 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.199 * [taylor]: Taking taylor expansion of 1.0 in N 1.199 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.199 * [taylor]: Taking taylor expansion of N in N 1.202 * [taylor]: Taking taylor expansion of 1 in N 1.230 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.230 * [approximate]: Taking taylor expansion of (log1p (log (+ N 1.0))) in (N) around 0 1.230 * [taylor]: Taking taylor expansion of (log1p (log (+ N 1.0))) in N 1.231 * [taylor]: Rewrote expression to (log (+ 1 (log (+ N 1.0)))) 1.231 * [taylor]: Taking taylor expansion of (+ 1 (log (+ N 1.0))) in N 1.231 * [taylor]: Taking taylor expansion of 1 in N 1.231 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.231 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.231 * [taylor]: Taking taylor expansion of N in N 1.231 * [taylor]: Taking taylor expansion of 1.0 in N 1.233 * [taylor]: Taking taylor expansion of (log1p (log (+ N 1.0))) in N 1.233 * [taylor]: Rewrote expression to (log (+ 1 (log (+ N 1.0)))) 1.233 * [taylor]: Taking taylor expansion of (+ 1 (log (+ N 1.0))) in N 1.233 * [taylor]: Taking taylor expansion of 1 in N 1.233 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.233 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.233 * [taylor]: Taking taylor expansion of N in N 1.233 * [taylor]: Taking taylor expansion of 1.0 in N 1.288 * [approximate]: Taking taylor expansion of (log1p (log (+ (/ 1 N) 1.0))) in (N) around 0 1.288 * [taylor]: Taking taylor expansion of (log1p (log (+ (/ 1 N) 1.0))) in N 1.289 * [taylor]: Rewrote expression to (log (+ 1 (log (+ (/ 1 N) 1.0)))) 1.289 * [taylor]: Taking taylor expansion of (+ 1 (log (+ (/ 1 N) 1.0))) in N 1.289 * [taylor]: Taking taylor expansion of 1 in N 1.289 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.289 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.289 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.289 * [taylor]: Taking taylor expansion of N in N 1.289 * [taylor]: Taking taylor expansion of 1.0 in N 1.290 * [taylor]: Taking taylor expansion of (log1p (log (+ (/ 1 N) 1.0))) in N 1.290 * [taylor]: Rewrote expression to (log (+ 1 (log (+ (/ 1 N) 1.0)))) 1.290 * [taylor]: Taking taylor expansion of (+ 1 (log (+ (/ 1 N) 1.0))) in N 1.290 * [taylor]: Taking taylor expansion of 1 in N 1.290 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.290 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.290 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.290 * [taylor]: Taking taylor expansion of N in N 1.290 * [taylor]: Taking taylor expansion of 1.0 in N 1.308 * [approximate]: Taking taylor expansion of (log1p (log (- 1.0 (/ 1 N)))) in (N) around 0 1.309 * [taylor]: Taking taylor expansion of (log1p (log (- 1.0 (/ 1 N)))) in N 1.309 * [taylor]: Rewrote expression to (log (+ 1 (log (- 1.0 (/ 1 N))))) 1.309 * [taylor]: Taking taylor expansion of (+ 1 (log (- 1.0 (/ 1 N)))) in N 1.309 * [taylor]: Taking taylor expansion of 1 in N 1.309 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.309 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.309 * [taylor]: Taking taylor expansion of 1.0 in N 1.309 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.309 * [taylor]: Taking taylor expansion of N in N 1.311 * [taylor]: Taking taylor expansion of (log1p (log (- 1.0 (/ 1 N)))) in N 1.311 * [taylor]: Rewrote expression to (log (+ 1 (log (- 1.0 (/ 1 N))))) 1.311 * [taylor]: Taking taylor expansion of (+ 1 (log (- 1.0 (/ 1 N)))) in N 1.311 * [taylor]: Taking taylor expansion of 1 in N 1.311 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.311 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.311 * [taylor]: Taking taylor expansion of 1.0 in N 1.311 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.312 * [taylor]: Taking taylor expansion of N in N 1.340 * * * [progress]: simplifying candidates 1.341 * [simplify]: Simplifying using # : (fma (* (cbrt (expm1 (log1p (log (+ N 1.0))))) (cbrt (expm1 (log1p (log (+ N 1.0)))))) (cbrt (expm1 (log1p (log (+ N 1.0))))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (expm1 (log1p (log (+ N 1.0))))) (cbrt (expm1 (log1p (log (+ N 1.0)))))) (cbrt (expm1 (log1p (log (+ N 1.0))))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (expm1 (log1p (log (+ N 1.0))))) (cbrt (expm1 (log1p (log (+ N 1.0)))))) (cbrt (expm1 (log1p (log (+ N 1.0))))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (expm1 (log1p (log (+ N 1.0))))) (cbrt (expm1 (log1p (log (+ N 1.0)))))) (cbrt (expm1 (log1p (log (+ N 1.0))))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (expm1 (log1p (log (+ N 1.0))))) (sqrt (expm1 (log1p (log (+ N 1.0))))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (expm1 (log1p (log (+ N 1.0))))) (sqrt (expm1 (log1p (log (+ N 1.0))))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (expm1 (log1p (log (+ N 1.0))))) (sqrt (expm1 (log1p (log (+ N 1.0))))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (expm1 (log1p (log (+ N 1.0))))) (sqrt (expm1 (log1p (log (+ N 1.0))))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (expm1 (log1p (log (+ N 1.0)))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (expm1 (log1p (log (+ N 1.0)))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (expm1 (log1p (log (+ N 1.0)))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (expm1 (log1p (log (+ N 1.0)))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (expm1 (log1p (log (+ N 1.0)))) (log N))) (log1p (- (expm1 (log1p (log (+ N 1.0)))) (log N))) (- (log N)) (- (log N)) (- (log N)) (/ (exp (expm1 (log1p (log (+ N 1.0))))) N) (log (- (expm1 (log1p (log (+ N 1.0)))) (log N))) (exp (- (expm1 (log1p (log (+ N 1.0)))) (log N))) (* (cbrt (- (expm1 (log1p (log (+ N 1.0)))) (log N))) (cbrt (- (expm1 (log1p (log (+ N 1.0)))) (log N)))) (cbrt (- (expm1 (log1p (log (+ N 1.0)))) (log N))) (* (* (- (expm1 (log1p (log (+ N 1.0)))) (log N)) (- (expm1 (log1p (log (+ N 1.0)))) (log N))) (- (expm1 (log1p (log (+ N 1.0)))) (log N))) (sqrt (- (expm1 (log1p (log (+ N 1.0)))) (log N))) (sqrt (- (expm1 (log1p (log (+ N 1.0)))) (log N))) (- (pow (expm1 (log1p (log (+ N 1.0)))) 3) (pow (log N) 3)) (+ (* (expm1 (log1p (log (+ N 1.0)))) (expm1 (log1p (log (+ N 1.0))))) (+ (* (log N) (log N)) (* (expm1 (log1p (log (+ N 1.0)))) (log N)))) (- (log N)) (- (* (expm1 (log1p (log (+ N 1.0)))) (expm1 (log1p (log (+ N 1.0))))) (* (log N) (log N))) (+ (expm1 (log1p (log (+ N 1.0)))) (log N)) (+ (sqrt (expm1 (log1p (log (+ N 1.0))))) (sqrt (log N))) (- (sqrt (expm1 (log1p (log (+ N 1.0))))) (sqrt (log N))) (- (expm1 (log1p (log (+ N 1.0)))) (log N)) (- (expm1 (log1p (log (+ N 1.0)))) (log N)) (- (expm1 (log1p (log (+ N 1.0)))) (log (* (cbrt N) (cbrt N)))) (- (expm1 (log1p (log (+ N 1.0)))) (log (sqrt N))) (- (expm1 (log1p (log (+ N 1.0)))) (log 1)) (+ 1 (log N)) (- (log N)) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (exp (log1p (log (+ N 1.0)))) (expm1 (expm1 (log1p (log (+ N 1.0))))) (log1p (expm1 (log1p (log (+ N 1.0))))) (log (expm1 (log1p (log (+ N 1.0))))) (exp (expm1 (log1p (log (+ N 1.0))))) (* (cbrt (expm1 (log1p (log (+ N 1.0))))) (cbrt (expm1 (log1p (log (+ N 1.0)))))) (cbrt (expm1 (log1p (log (+ N 1.0))))) (* (* (expm1 (log1p (log (+ N 1.0)))) (expm1 (log1p (log (+ N 1.0))))) (expm1 (log1p (log (+ N 1.0))))) (sqrt (expm1 (log1p (log (+ N 1.0))))) (sqrt (expm1 (log1p (log (+ N 1.0))))) (+ 1 (log (+ N 1.0))) (expm1 (log1p (log (+ N 1.0)))) (log1p (log1p (log (+ N 1.0)))) (log (log1p (log (+ N 1.0)))) (exp (log1p (log (+ N 1.0)))) (* (cbrt (log1p (log (+ N 1.0)))) (cbrt (log1p (log (+ N 1.0))))) (cbrt (log1p (log (+ N 1.0)))) (* (* (log1p (log (+ N 1.0))) (log1p (log (+ N 1.0)))) (log1p (log (+ N 1.0)))) (sqrt (log1p (log (+ N 1.0)))) (sqrt (log1p (log (+ N 1.0)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 1.0 (/ 1 N)) (+ (* 0.3333333333333333 (/ 1 (* (- 1 (log (/ 1 N))) (pow N 3)))) (* 5.551115123125783e-17 (/ (log (/ 1 N)) (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3)))))) (+ (* 5.551115123125783e-17 (/ 1 (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3)))) (+ (* 0.3333333333333333 (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))))) (- (+ (* 1.0 (/ 1 N)) (+ (* 0.3333333333333333 (/ 1 (* (pow N 3) (- (+ (log -1) 1) (log (/ -1 N)))))) (+ (* 5.551115123125783e-17 (/ (log (/ -1 N)) (* (pow N 3) (pow (- (+ (log -1) 1) (log (/ -1 N))) 3)))) (* 0.3333333333333333 (/ (log -1) (* (pow N 3) (- (+ (log -1) 1) (log (/ -1 N))))))))) (+ (* 0.3333333333333333 (/ (log (/ -1 N)) (* (pow N 3) (- (+ (log -1) 1) (log (/ -1 N)))))) (+ (* 5.551115123125783e-17 (/ (log -1) (* (pow N 3) (pow (- (+ (log -1) 1) (log (/ -1 N))) 3)))) (+ (* 5.551115123125783e-17 (/ 1 (* (pow N 3) (pow (- (+ (log -1) 1) (log (/ -1 N))) 3)))) (* 0.5 (/ 1 (pow N 2))))))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 (/ N (+ (log 1.0) 1))) (log (+ (log 1.0) 1))) (+ (* 0.5 (/ (pow N 2) (pow (+ (log 1.0) 1) 2))) (* 1/2 (/ (pow N 2) (* (pow 1.0 2) (+ (log 1.0) 1)))))) (- (+ (* 1.0 (/ 1 (* (- 1 (log (/ 1 N))) N))) (log (- 1 (log (/ 1 N))))) (+ (* 0.5 (/ 1 (* (- 1 (log (/ 1 N))) (pow N 2)))) (* 0.5 (/ 1 (* (pow (- 1 (log (/ 1 N))) 2) (pow N 2)))))) (- (+ (* 1.0 (/ 1 (* N (- (+ (log -1) 1) (log (/ -1 N)))))) (log (- (+ (log -1) 1) (log (/ -1 N))))) (+ (* 0.5 (/ 1 (* (pow N 2) (- (+ (log -1) 1) (log (/ -1 N)))))) (* 0.5 (/ 1 (* (pow N 2) (pow (- (+ (log -1) 1) (log (/ -1 N))) 2)))))) 1.348 * * [simplify]: iteration 0 : 556 enodes (cost 870 ) 1.358 * * [simplify]: iteration 1 : 2211 enodes (cost 669 ) 1.395 * * [simplify]: iteration 2 : 5002 enodes (cost 649 ) 1.399 * [simplify]: Simplified to: (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N))) (- (log N) (log N)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N))) (- (log N) (log N)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N))) (- (log N) (log N)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N))) (- (log N) (log N)) (- (log (+ N 1.0)) (log N)) (- (log N) (log N)) (- (log (+ N 1.0)) (log N)) (- (log N) (log N)) (- (log (+ N 1.0)) (log N)) (- (log N) (log N)) (- (log (+ N 1.0)) (log N)) (- (log N) (log N)) (- (log (+ N 1.0)) (log N)) (- (log N) (log N)) (- (log (+ N 1.0)) (log N)) (- (log N) (log N)) (- (log (+ N 1.0)) (log N)) (- (log N) (log N)) (- (log (+ N 1.0)) (log N)) (- (log N) (log N)) (expm1 (- (expm1 (log1p (log (+ N 1.0)))) (log N))) (log1p (- (expm1 (log1p (log (+ N 1.0)))) (log N))) (log (/ 1 N)) (log (/ 1 N)) (log (/ 1 N)) (/ (+ N 1.0) N) (log (- (expm1 (log1p (log (+ N 1.0)))) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (expm1 (log1p (log (+ N 1.0)))) (log N))) (cbrt (- (expm1 (log1p (log (+ N 1.0)))) (log N)))) (cbrt (- (expm1 (log1p (log (+ N 1.0)))) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (expm1 (log1p (log (+ N 1.0)))) (log N))) (sqrt (- (expm1 (log1p (log (+ N 1.0)))) (log N))) (+ (- (pow (log N) 3)) (pow (log (+ N 1.0)) 3)) (fma (log N) (+ (log N) (log (+ N 1.0))) (* (log (+ N 1.0)) (log (+ N 1.0)))) (log (/ 1 N)) (fma (log (+ N 1.0)) (log (+ N 1.0)) (- (* (log N) (log N)))) (+ (log N) (log (+ N 1.0))) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ N 1.0)) (- (log (* (cbrt N) (cbrt N))))) (+ (log (+ N 1.0)) (- (log (sqrt N)))) (+ (log (+ N 1.0)) (- (log 1))) (+ 1 (log N)) (log (/ 1 N)) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (exp (log1p (log (+ N 1.0)))) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (+ 1 (log (+ N 1.0))) (log (+ N 1.0)) (log1p (log1p (log (+ N 1.0)))) (log (log1p (log (+ N 1.0)))) (exp (log1p (log (+ N 1.0)))) (* (cbrt (log1p (log (+ N 1.0)))) (cbrt (log1p (log (+ N 1.0))))) (cbrt (log1p (log (+ N 1.0)))) (pow (log1p (log (+ N 1.0))) 3) (sqrt (log1p (log (+ N 1.0)))) (sqrt (log1p (log (+ N 1.0)))) (fma 1.0 N (- (log 1.0) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N)))) (fma 1.0 (/ 1 N) (- (fma 0.3333333333333333 (/ 1 (* (- 1 (log (/ 1 N))) (pow N 3))) (* 5.551115123125783e-17 (/ (log (/ 1 N)) (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3))))) (fma 5.551115123125783e-17 (/ 1 (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3))) (fma 0.3333333333333333 (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3))) (* 0.5 (/ 1 (pow N 2))))))) (fma 1.0 (/ 1 N) (- (fma 0.3333333333333333 (/ 1 (* (pow N 3) (- (+ (log -1) 1) (log (/ -1 N))))) (fma 5.551115123125783e-17 (/ (log (/ -1 N)) (* (pow N 3) (pow (- (+ (log -1) 1) (log (/ -1 N))) 3))) (* 0.3333333333333333 (/ (log -1) (* (pow N 3) (- (+ (log -1) 1) (log (/ -1 N)))))))) (fma 0.3333333333333333 (/ (log (/ -1 N)) (* (pow N 3) (- (+ (log -1) 1) (log (/ -1 N))))) (fma 5.551115123125783e-17 (/ (log -1) (* (pow N 3) (pow (- (+ (log -1) 1) (log (/ -1 N))) 3))) (fma 5.551115123125783e-17 (/ 1 (* (pow N 3) (pow (- (+ (log -1) 1) (log (/ -1 N))) 3))) (* 0.5 (/ 1 (pow N 2)))))))) (fma 1.0 N (- (log 1.0) (* 1/2 (/ (pow N 2) (pow 1.0 2))))) (fma 1.0 (/ 1 N) (- (fma 0.5 (/ 1 (pow N 2)) (log (/ 1 N))))) (fma 1.0 (/ 1 N) (- (log -1) (fma 0.5 (/ 1 (pow N 2)) (log (/ -1 N))))) (fma 1.0 N (- (log 1.0) (* 1/2 (/ (pow N 2) (pow 1.0 2))))) (fma 1.0 (/ 1 N) (- (fma 0.5 (/ 1 (pow N 2)) (log (/ 1 N))))) (fma 1.0 (/ 1 N) (- (log -1) (fma 0.5 (/ 1 (pow N 2)) (log (/ -1 N))))) (fma 1.0 (/ N (+ (log 1.0) 1)) (- (log (+ (log 1.0) 1)) (fma 0.5 (/ (pow N 2) (pow (+ (log 1.0) 1) 2)) (* 1/2 (/ (pow N 2) (* (pow 1.0 2) (+ (log 1.0) 1))))))) (fma (- 0.5) (+ (/ 1 (* (- 1 (log (/ 1 N))) (pow N 2))) (/ 1 (* (pow (- 1 (log (/ 1 N))) 2) (pow N 2)))) (fma 1.0 (/ (/ 1 N) (+ 1 (log N))) (log1p (log N)))) (fma (- 0.5) (+ (/ 1 (* (pow N 2) (- (+ (log -1) 1) (log (/ -1 N))))) (/ 1 (* (pow N 2) (pow (- (+ (log -1) 1) (log (/ -1 N))) 2)))) (fma 1.0 (/ 1 (* N (- (+ (log -1) 1) (log (/ -1 N))))) (log1p (- (log -1) (log (/ -1 N)))))) 1.400 * * * [progress]: adding candidates to table 1.583 * * [progress]: iteration 4 / 4 1.583 * * * [progress]: picking best candidate 1.588 * * * * [pick]: Picked # 1.588 * * * [progress]: localizing error 1.597 * * * [progress]: generating rewritten candidates 1.597 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.602 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.608 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.611 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 1.620 * * * [progress]: generating series expansions 1.620 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.620 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in (N) around 0 1.620 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 1.620 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 1.620 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 1.620 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 1.620 * [taylor]: Taking taylor expansion of 1/3 in N 1.620 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.620 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.620 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.620 * [taylor]: Taking taylor expansion of N in N 1.620 * [taylor]: Taking taylor expansion of 1.0 in N 1.620 * [taylor]: Taking taylor expansion of N in N 1.627 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 1.627 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 1.627 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 1.627 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 1.627 * [taylor]: Taking taylor expansion of 1/3 in N 1.627 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.627 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.627 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.627 * [taylor]: Taking taylor expansion of N in N 1.627 * [taylor]: Taking taylor expansion of 1.0 in N 1.627 * [taylor]: Taking taylor expansion of N in N 1.659 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in (N) around 0 1.659 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 1.659 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.659 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.659 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.659 * [taylor]: Taking taylor expansion of 1/3 in N 1.659 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.659 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.659 * [taylor]: Taking taylor expansion of N in N 1.659 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.659 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.659 * [taylor]: Taking taylor expansion of N in N 1.659 * [taylor]: Taking taylor expansion of 1.0 in N 1.669 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 1.669 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.669 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.669 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.669 * [taylor]: Taking taylor expansion of 1/3 in N 1.669 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.669 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.669 * [taylor]: Taking taylor expansion of N in N 1.669 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.669 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.669 * [taylor]: Taking taylor expansion of N in N 1.669 * [taylor]: Taking taylor expansion of 1.0 in N 1.749 * [approximate]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in (N) around 0 1.749 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 1.749 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.749 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.749 * [taylor]: Taking taylor expansion of -1 in N 1.750 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.750 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.750 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.750 * [taylor]: Taking taylor expansion of 1/3 in N 1.750 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.750 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.750 * [taylor]: Taking taylor expansion of N in N 1.750 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.750 * [taylor]: Taking taylor expansion of 1.0 in N 1.750 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.750 * [taylor]: Taking taylor expansion of N in N 1.756 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 1.757 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.757 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.757 * [taylor]: Taking taylor expansion of -1 in N 1.757 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.757 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.757 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.757 * [taylor]: Taking taylor expansion of 1/3 in N 1.757 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.757 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.757 * [taylor]: Taking taylor expansion of N in N 1.757 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.758 * [taylor]: Taking taylor expansion of 1.0 in N 1.758 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.758 * [taylor]: Taking taylor expansion of N in N 1.842 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.842 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in (N) around 0 1.842 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 1.842 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 1.842 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 1.842 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 1.842 * [taylor]: Taking taylor expansion of 1/3 in N 1.842 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.842 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.842 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.842 * [taylor]: Taking taylor expansion of N in N 1.842 * [taylor]: Taking taylor expansion of 1.0 in N 1.843 * [taylor]: Taking taylor expansion of N in N 1.845 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 1.845 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 1.845 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 1.845 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 1.845 * [taylor]: Taking taylor expansion of 1/3 in N 1.845 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.845 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.845 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.845 * [taylor]: Taking taylor expansion of N in N 1.845 * [taylor]: Taking taylor expansion of 1.0 in N 1.845 * [taylor]: Taking taylor expansion of N in N 1.876 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in (N) around 0 1.876 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 1.876 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.876 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.876 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.876 * [taylor]: Taking taylor expansion of 1/3 in N 1.876 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.876 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.876 * [taylor]: Taking taylor expansion of N in N 1.876 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.876 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.876 * [taylor]: Taking taylor expansion of N in N 1.877 * [taylor]: Taking taylor expansion of 1.0 in N 1.892 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 1.892 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.892 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.892 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.892 * [taylor]: Taking taylor expansion of 1/3 in N 1.892 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.892 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.892 * [taylor]: Taking taylor expansion of N in N 1.892 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.892 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.892 * [taylor]: Taking taylor expansion of N in N 1.892 * [taylor]: Taking taylor expansion of 1.0 in N 1.964 * [approximate]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in (N) around 0 1.964 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 1.964 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.964 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.964 * [taylor]: Taking taylor expansion of -1 in N 1.965 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.965 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.965 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.965 * [taylor]: Taking taylor expansion of 1/3 in N 1.965 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.965 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.965 * [taylor]: Taking taylor expansion of N in N 1.965 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.965 * [taylor]: Taking taylor expansion of 1.0 in N 1.965 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.965 * [taylor]: Taking taylor expansion of N in N 1.978 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 1.978 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.978 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.978 * [taylor]: Taking taylor expansion of -1 in N 1.979 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.979 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.979 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.979 * [taylor]: Taking taylor expansion of 1/3 in N 1.979 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.979 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.979 * [taylor]: Taking taylor expansion of N in N 1.979 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.979 * [taylor]: Taking taylor expansion of 1.0 in N 1.979 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.979 * [taylor]: Taking taylor expansion of N in N 2.056 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 2.056 * [approximate]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in (N) around 0 2.056 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 2.056 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 2.056 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 2.056 * [taylor]: Taking taylor expansion of 1/3 in N 2.056 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.056 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.056 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.056 * [taylor]: Taking taylor expansion of N in N 2.056 * [taylor]: Taking taylor expansion of 1.0 in N 2.056 * [taylor]: Taking taylor expansion of N in N 2.064 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 2.064 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 2.064 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 2.064 * [taylor]: Taking taylor expansion of 1/3 in N 2.064 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.064 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.064 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.065 * [taylor]: Taking taylor expansion of N in N 2.065 * [taylor]: Taking taylor expansion of 1.0 in N 2.065 * [taylor]: Taking taylor expansion of N in N 2.095 * [approximate]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in (N) around 0 2.095 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 2.095 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 2.095 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 2.095 * [taylor]: Taking taylor expansion of 1/3 in N 2.095 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.095 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.095 * [taylor]: Taking taylor expansion of N in N 2.095 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.095 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.095 * [taylor]: Taking taylor expansion of N in N 2.095 * [taylor]: Taking taylor expansion of 1.0 in N 2.104 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 2.104 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 2.104 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 2.105 * [taylor]: Taking taylor expansion of 1/3 in N 2.105 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.105 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.105 * [taylor]: Taking taylor expansion of N in N 2.105 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.105 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.105 * [taylor]: Taking taylor expansion of N in N 2.105 * [taylor]: Taking taylor expansion of 1.0 in N 2.130 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in (N) around 0 2.130 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 2.130 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.130 * [taylor]: Taking taylor expansion of -1 in N 2.131 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 2.131 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 2.131 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 2.131 * [taylor]: Taking taylor expansion of 1/3 in N 2.131 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 2.131 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.131 * [taylor]: Taking taylor expansion of N in N 2.131 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.131 * [taylor]: Taking taylor expansion of 1.0 in N 2.131 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.131 * [taylor]: Taking taylor expansion of N in N 2.135 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 2.135 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.135 * [taylor]: Taking taylor expansion of -1 in N 2.136 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 2.136 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 2.136 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 2.136 * [taylor]: Taking taylor expansion of 1/3 in N 2.136 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 2.136 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.136 * [taylor]: Taking taylor expansion of N in N 2.136 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.136 * [taylor]: Taking taylor expansion of 1.0 in N 2.136 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.136 * [taylor]: Taking taylor expansion of N in N 2.192 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 2.192 * [approximate]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in (N) around 0 2.192 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 2.192 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 2.192 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 2.193 * [taylor]: Taking taylor expansion of 1/3 in N 2.193 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.193 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.193 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.193 * [taylor]: Taking taylor expansion of N in N 2.193 * [taylor]: Taking taylor expansion of 1.0 in N 2.193 * [taylor]: Taking taylor expansion of N in N 2.195 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 2.195 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 2.195 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 2.195 * [taylor]: Taking taylor expansion of 1/3 in N 2.195 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.195 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.195 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.195 * [taylor]: Taking taylor expansion of N in N 2.195 * [taylor]: Taking taylor expansion of 1.0 in N 2.195 * [taylor]: Taking taylor expansion of N in N 2.224 * [approximate]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in (N) around 0 2.224 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 2.225 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 2.225 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 2.225 * [taylor]: Taking taylor expansion of 1/3 in N 2.225 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.225 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.225 * [taylor]: Taking taylor expansion of N in N 2.225 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.225 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.225 * [taylor]: Taking taylor expansion of N in N 2.225 * [taylor]: Taking taylor expansion of 1.0 in N 2.240 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 2.240 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 2.240 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 2.240 * [taylor]: Taking taylor expansion of 1/3 in N 2.240 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.240 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.240 * [taylor]: Taking taylor expansion of N in N 2.240 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.240 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.240 * [taylor]: Taking taylor expansion of N in N 2.240 * [taylor]: Taking taylor expansion of 1.0 in N 2.265 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in (N) around 0 2.265 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 2.265 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.265 * [taylor]: Taking taylor expansion of -1 in N 2.266 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 2.266 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 2.266 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 2.266 * [taylor]: Taking taylor expansion of 1/3 in N 2.266 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 2.266 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.266 * [taylor]: Taking taylor expansion of N in N 2.266 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.266 * [taylor]: Taking taylor expansion of 1.0 in N 2.266 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.266 * [taylor]: Taking taylor expansion of N in N 2.271 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 2.271 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.271 * [taylor]: Taking taylor expansion of -1 in N 2.272 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 2.272 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 2.272 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 2.272 * [taylor]: Taking taylor expansion of 1/3 in N 2.272 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 2.272 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.272 * [taylor]: Taking taylor expansion of N in N 2.272 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.272 * [taylor]: Taking taylor expansion of 1.0 in N 2.272 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.272 * [taylor]: Taking taylor expansion of N in N 2.327 * * * [progress]: simplifying candidates 2.329 * [simplify]: Simplifying using # : (expm1 (log (cbrt (/ (+ N 1.0) N)))) (log1p (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (cbrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (cbrt (/ (cbrt (+ N 1.0)) N))) (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) 1))) (log (cbrt (/ (sqrt (+ N 1.0)) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) (log (cbrt (/ 1 1))) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) (log (cbrt (/ 1 1))) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt 1)) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt (/ 1 N))) (log (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log 1) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt N)) (log (/ (+ N 1.0) N)) (log (cbrt (/ (+ N 1.0) N))) (log (log (cbrt (/ (+ N 1.0) N)))) (exp (log (cbrt (/ (+ N 1.0) N)))) (* (cbrt (log (cbrt (/ (+ N 1.0) N)))) (cbrt (log (cbrt (/ (+ N 1.0) N))))) (cbrt (log (cbrt (/ (+ N 1.0) N)))) (* (* (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N)))) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (expm1 (log (cbrt (/ (+ N 1.0) N)))) (log1p (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (cbrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (cbrt (/ (cbrt (+ N 1.0)) N))) (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) 1))) (log (cbrt (/ (sqrt (+ N 1.0)) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) (log (cbrt (/ 1 1))) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) (log (cbrt (/ 1 1))) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt 1)) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt (/ 1 N))) (log (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log 1) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt N)) (log (/ (+ N 1.0) N)) (log (cbrt (/ (+ N 1.0) N))) (log (log (cbrt (/ (+ N 1.0) N)))) (exp (log (cbrt (/ (+ N 1.0) N)))) (* (cbrt (log (cbrt (/ (+ N 1.0) N)))) (cbrt (log (cbrt (/ (+ N 1.0) N))))) (cbrt (log (cbrt (/ (+ N 1.0) N)))) (* (* (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N)))) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (expm1 (cbrt (/ (+ N 1.0) N))) (log1p (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N))) (exp (cbrt (/ (+ N 1.0) N))) (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (cbrt (/ (cbrt (+ N 1.0)) (sqrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (cbrt (/ (cbrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) 1)) (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ (+ N 1.0) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ (+ N 1.0) N)) (cbrt 1) (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0)) (cbrt (/ 1 N)) (cbrt (+ N 1.0)) (cbrt N) (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (expm1 (cbrt (/ (+ N 1.0) N))) (log1p (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N))) (exp (cbrt (/ (+ N 1.0) N))) (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (cbrt (/ (cbrt (+ N 1.0)) (sqrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (cbrt (/ (cbrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) 1)) (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ (+ N 1.0) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ (+ N 1.0) N)) (cbrt 1) (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0)) (cbrt (/ 1 N)) (cbrt (+ N 1.0)) (cbrt N) (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (- (+ (* 0.3333333333333333 N) (* 1/3 (log 1.0))) (+ (* 1/6 (/ (pow N 2) (pow 1.0 2))) (* 1/3 (log N)))) (- (+ (* 0.1111111111111111 (/ 1 (pow N 3))) (* 0.3333333333333333 (/ 1 N))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) (log (* (pow -1 1/3) (cbrt -1)))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 N) (* 1/3 (log 1.0))) (+ (* 1/6 (/ (pow N 2) (pow 1.0 2))) (* 1/3 (log N)))) (- (+ (* 0.1111111111111111 (/ 1 (pow N 3))) (* 0.3333333333333333 (/ 1 N))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) (log (* (pow -1 1/3) (cbrt -1)))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (- (+ (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* N (exp (* 1/3 (- (log 1.0) (log N)))))) (* 0.05555555555555555 (* (exp (* 1/3 (- (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (- (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) 1) (* 0.1111111111111111 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (* (pow -1 1/3) (/ (cbrt -1) N))) (* (pow -1 1/3) (cbrt -1))) (* 0.1111111111111111 (* (pow -1 1/3) (/ (cbrt -1) (pow N 2))))) (- (+ (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* N (exp (* 1/3 (- (log 1.0) (log N)))))) (* 0.05555555555555555 (* (exp (* 1/3 (- (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (- (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) 1) (* 0.1111111111111111 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (* (pow -1 1/3) (/ (cbrt -1) N))) (* (pow -1 1/3) (cbrt -1))) (* 0.1111111111111111 (* (pow -1 1/3) (/ (cbrt -1) (pow N 2))))) 2.336 * * [simplify]: iteration 0 : 278 enodes (cost 1088 ) 2.340 * * [simplify]: iteration 1 : 803 enodes (cost 1024 ) 2.355 * * [simplify]: iteration 2 : 3528 enodes (cost 998 ) 2.429 * * [simplify]: iteration 3 : 5002 enodes (cost 962 ) 2.435 * [simplify]: Simplified to: (expm1 (log (cbrt (/ (+ N 1.0) N)))) (log1p (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (cbrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (cbrt (/ (cbrt (+ N 1.0)) N))) (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) 1))) (log (cbrt (/ (sqrt (+ N 1.0)) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) 0 (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) 0 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1.0) N) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (fma N 0.3333333333333333 (- (* 1/3 (log 1.0)) (fma 1/6 (/ (pow N 2) (pow 1.0 2)) (* 1/3 (log N))))) (fma (/ 1 N) (- 0.3333333333333333 (/ 0.16666666666666666 N)) (/ 0.1111111111111111 (pow N 3))) (fma 2/3 (log -1) (* (/ 1 N) (- 0.3333333333333333 (/ 0.16666666666666666 N)))) (fma N 0.3333333333333333 (- (* 1/3 (log 1.0)) (fma 1/6 (/ (pow N 2) (pow 1.0 2)) (* 1/3 (log N))))) (fma (/ 1 N) (- 0.3333333333333333 (/ 0.16666666666666666 N)) (/ 0.1111111111111111 (pow N 3))) (fma 2/3 (log -1) (* (/ 1 N) (- 0.3333333333333333 (/ 0.16666666666666666 N)))) (fma (exp (* 1/3 (- (log 1.0) (log N)))) (+ (fma N 0.3333333333333333 1) (* 0.05555555555555555 (pow N 2))) (- (* 1/6 (/ (* (exp (* 1/3 (- (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2))))) (fma (/ 1 N) (- 0.3333333333333333 (/ 0.1111111111111111 N)) 1) (fma (- 0.1111111111111111) (/ (/ (pow -1 2/3) N) N) (fma 0.3333333333333333 (/ (pow -1 2/3) N) (pow -1 2/3))) (fma (exp (* 1/3 (- (log 1.0) (log N)))) (+ (fma N 0.3333333333333333 1) (* 0.05555555555555555 (pow N 2))) (- (* 1/6 (/ (* (exp (* 1/3 (- (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2))))) (fma (/ 1 N) (- 0.3333333333333333 (/ 0.1111111111111111 N)) 1) (fma (- 0.1111111111111111) (/ (/ (pow -1 2/3) N) N) (fma 0.3333333333333333 (/ (pow -1 2/3) N) (pow -1 2/3))) 2.436 * * * [progress]: adding candidates to table 2.755 * [progress]: [Phase 3 of 3] Extracting. 2.755 * * [regime]: Finding splitpoints for: (# # # # #) 2.756 * * * [regime-changes]: Trying 1 branch expressions: (N) 2.756 * * * * [regimes]: Trying to branch on N from (# # # # #) 2.786 * * * [regime]: Found split indices: #