15.268 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.043 * * * [progress]: [2/2] Setting up program. 0.045 * [progress]: [Phase 2 of 3] Improving. 0.046 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.048 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.049 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.051 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.051 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.051 * * [progress]: iteration 1 / 4 0.051 * * * [progress]: picking best candidate 0.053 * * * * [pick]: Picked # 0.053 * * * [progress]: localizing error 0.060 * * * [progress]: generating rewritten candidates 0.060 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.063 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.074 * * * [progress]: generating series expansions 0.074 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.074 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.074 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.074 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.074 * [taylor]: Taking taylor expansion of N in N 0.074 * [taylor]: Taking taylor expansion of 1.0 in N 0.075 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.075 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.075 * [taylor]: Taking taylor expansion of N in N 0.075 * [taylor]: Taking taylor expansion of 1.0 in N 0.088 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.088 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.088 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.088 * [taylor]: Taking taylor expansion of N in N 0.089 * [taylor]: Taking taylor expansion of 1.0 in N 0.089 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) 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 1.0 in N 0.103 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.103 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.103 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.103 * [taylor]: Taking taylor expansion of 1.0 in N 0.103 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.103 * [taylor]: Taking taylor expansion of N in N 0.104 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.104 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.104 * [taylor]: Taking taylor expansion of 1.0 in N 0.104 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.104 * [taylor]: Taking taylor expansion of N in N 0.125 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.125 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.125 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.125 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.125 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.125 * [taylor]: Taking taylor expansion of N in N 0.125 * [taylor]: Taking taylor expansion of 1.0 in N 0.126 * [taylor]: Taking taylor expansion of (log N) in N 0.126 * [taylor]: Taking taylor expansion of N in N 0.126 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.126 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.126 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.126 * [taylor]: Taking taylor expansion of N in N 0.126 * [taylor]: Taking taylor expansion of 1.0 in N 0.127 * [taylor]: Taking taylor expansion of (log N) in N 0.127 * [taylor]: Taking taylor expansion of N in N 0.146 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.146 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.146 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.146 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.146 * [taylor]: Taking taylor expansion of N in N 0.146 * [taylor]: Taking taylor expansion of 1.0 in N 0.147 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.147 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.147 * [taylor]: Taking taylor expansion of N in N 0.147 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.147 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.147 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.147 * [taylor]: Taking taylor expansion of N in N 0.148 * [taylor]: Taking taylor expansion of 1.0 in N 0.148 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.148 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.148 * [taylor]: Taking taylor expansion of N in N 0.180 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.180 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.180 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.180 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.180 * [taylor]: Taking taylor expansion of 1.0 in N 0.180 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.180 * [taylor]: Taking taylor expansion of N in N 0.181 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.181 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.181 * [taylor]: Taking taylor expansion of -1 in N 0.181 * [taylor]: Taking taylor expansion of N in N 0.182 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.182 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.182 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.182 * [taylor]: Taking taylor expansion of 1.0 in N 0.182 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.182 * [taylor]: Taking taylor expansion of N in N 0.183 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.183 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.183 * [taylor]: Taking taylor expansion of -1 in N 0.183 * [taylor]: Taking taylor expansion of N in N 0.224 * * * [progress]: simplifying candidates 0.225 * [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) (/ (+ N 1.0) (exp (log N))) (/ (exp (log (+ N 1.0))) N) (/ (exp (log (+ N 1.0))) (exp (log 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)))) 0.231 * * [simplify]: iteration 0 : 276 enodes (cost 601 ) 0.235 * * [simplify]: iteration 1 : 839 enodes (cost 450 ) 0.251 * * [simplify]: iteration 2 : 3608 enodes (cost 355 ) 0.345 * * [simplify]: iteration 3 : 5001 enodes (cost 351 ) 0.349 * [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) (/ (+ N 1.0) N) (/ (+ N 1.0) 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)))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) 0.349 * * * [progress]: adding candidates to table 0.453 * * [progress]: iteration 2 / 4 0.453 * * * [progress]: picking best candidate 0.458 * * * * [pick]: Picked # 0.458 * * * [progress]: localizing error 0.463 * * * [progress]: generating rewritten candidates 0.463 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.471 * * * [progress]: generating series expansions 0.471 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.471 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.471 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.471 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.471 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.471 * [taylor]: Taking taylor expansion of N in N 0.471 * [taylor]: Taking taylor expansion of 1.0 in N 0.471 * [taylor]: Taking taylor expansion of N in N 0.472 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.472 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.472 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.472 * [taylor]: Taking taylor expansion of N in N 0.472 * [taylor]: Taking taylor expansion of 1.0 in N 0.472 * [taylor]: Taking taylor expansion of N in N 0.486 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.486 * [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 0.489 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.489 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.489 * [taylor]: Taking taylor expansion of N in N 0.489 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.489 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.489 * [taylor]: Taking taylor expansion of N in N 0.489 * [taylor]: Taking taylor expansion of 1.0 in N 0.520 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.521 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.521 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.521 * [taylor]: Taking taylor expansion of -1 in N 0.521 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.521 * [taylor]: Taking taylor expansion of N in N 0.521 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.521 * [taylor]: Taking taylor expansion of 1.0 in N 0.521 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.521 * [taylor]: Taking taylor expansion of N in N 0.524 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.524 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.524 * [taylor]: Taking taylor expansion of -1 in N 0.524 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.524 * [taylor]: Taking taylor expansion of N in N 0.524 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.524 * [taylor]: Taking taylor expansion of 1.0 in N 0.524 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.524 * [taylor]: Taking taylor expansion of N in N 0.560 * * * [progress]: simplifying candidates 0.561 * [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))) (log (- N)) (log 1) (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) (* (cbrt N) (cbrt N)))) (log (cbrt N)) (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)) (log (/ (+ N 1.0) 1)) (log N) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (/ N (cbrt (+ N 1.0)))) (log (sqrt (+ N 1.0))) (log (/ N (sqrt (+ N 1.0)))) (log 1) (log (/ N (+ N 1.0))) (log 1) (log (/ N (+ N 1.0))) (log (+ (pow N 3) (pow 1.0 3))) (log (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (- (* N N) (* 1.0 1.0))) (log (* N (- N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (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))) (- (+ (* 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)))) 0.565 * * [simplify]: iteration 0 : 236 enodes (cost 294 ) 0.569 * * [simplify]: iteration 1 : 668 enodes (cost 271 ) 0.580 * * [simplify]: iteration 2 : 2741 enodes (cost 264 ) 0.639 * * [simplify]: iteration 3 : 5002 enodes (cost 260 ) 0.641 * [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))) (log (- N)) 0 (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) (* (cbrt N) (cbrt N)))) (log (cbrt N)) (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)) (log (+ N 1.0)) (log N) (* 2 (log (cbrt (+ N 1.0)))) (log (/ N (cbrt (+ N 1.0)))) (log (sqrt (+ N 1.0))) (log (/ N (sqrt (+ N 1.0)))) 0 (log (/ N (+ N 1.0))) 0 (log (/ N (+ N 1.0))) (log (+ (pow N 3) (pow 1.0 3))) (log (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (- (* N N) (* 1.0 1.0))) (log (* N (- N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (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))) (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))) 0.642 * * * [progress]: adding candidates to table 0.706 * * [progress]: iteration 3 / 4 0.706 * * * [progress]: picking best candidate 0.710 * * * * [pick]: Picked # 0.710 * * * [progress]: localizing error 0.718 * * * [progress]: generating rewritten candidates 0.718 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.726 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.733 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.739 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 0.751 * * * [progress]: generating series expansions 0.751 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.751 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in (N) around 0 0.751 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 0.751 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 0.751 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 0.751 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 0.751 * [taylor]: Taking taylor expansion of 1/3 in N 0.751 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.751 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.751 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.751 * [taylor]: Taking taylor expansion of N in N 0.751 * [taylor]: Taking taylor expansion of 1.0 in N 0.751 * [taylor]: Taking taylor expansion of N in N 0.754 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 0.754 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 0.754 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 0.754 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 0.754 * [taylor]: Taking taylor expansion of 1/3 in N 0.754 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.754 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.754 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.754 * [taylor]: Taking taylor expansion of N in N 0.754 * [taylor]: Taking taylor expansion of 1.0 in N 0.755 * [taylor]: Taking taylor expansion of N in N 0.791 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in (N) around 0 0.791 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 0.791 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 0.792 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 0.792 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 0.792 * [taylor]: Taking taylor expansion of 1/3 in N 0.792 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.792 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.792 * [taylor]: Taking taylor expansion of N in N 0.792 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.792 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.792 * [taylor]: Taking taylor expansion of N in N 0.792 * [taylor]: Taking taylor expansion of 1.0 in N 0.802 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 0.802 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 0.802 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 0.802 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 0.802 * [taylor]: Taking taylor expansion of 1/3 in N 0.802 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.802 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.802 * [taylor]: Taking taylor expansion of N in N 0.802 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.802 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.802 * [taylor]: Taking taylor expansion of N in N 0.802 * [taylor]: Taking taylor expansion of 1.0 in N 0.881 * [approximate]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in (N) around 0 0.882 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 0.882 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 0.882 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.882 * [taylor]: Taking taylor expansion of -1 in N 0.883 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 0.883 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 0.883 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 0.883 * [taylor]: Taking taylor expansion of 1/3 in N 0.883 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 0.883 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.883 * [taylor]: Taking taylor expansion of N in N 0.883 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.883 * [taylor]: Taking taylor expansion of 1.0 in N 0.883 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.883 * [taylor]: Taking taylor expansion of N in N 0.890 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 0.890 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 0.890 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.890 * [taylor]: Taking taylor expansion of -1 in N 0.891 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 0.891 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 0.891 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 0.891 * [taylor]: Taking taylor expansion of 1/3 in N 0.891 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 0.891 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.891 * [taylor]: Taking taylor expansion of N in N 0.891 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.891 * [taylor]: Taking taylor expansion of 1.0 in N 0.891 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.891 * [taylor]: Taking taylor expansion of N in N 0.975 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.975 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in (N) around 0 0.975 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 0.975 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 0.975 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 0.975 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 0.975 * [taylor]: Taking taylor expansion of 1/3 in N 0.975 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.975 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.975 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.975 * [taylor]: Taking taylor expansion of N in N 0.975 * [taylor]: Taking taylor expansion of 1.0 in N 0.975 * [taylor]: Taking taylor expansion of N in N 0.978 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 0.978 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 0.978 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 0.978 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 0.978 * [taylor]: Taking taylor expansion of 1/3 in N 0.978 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.978 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.978 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.978 * [taylor]: Taking taylor expansion of N in N 0.978 * [taylor]: Taking taylor expansion of 1.0 in N 0.978 * [taylor]: Taking taylor expansion of N in N 1.010 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in (N) around 0 1.010 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 1.010 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.011 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.011 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.011 * [taylor]: Taking taylor expansion of 1/3 in N 1.011 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.011 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.011 * [taylor]: Taking taylor expansion of N in N 1.011 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.011 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.011 * [taylor]: Taking taylor expansion of N in N 1.011 * [taylor]: Taking taylor expansion of 1.0 in N 1.021 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 1.021 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.021 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.021 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.021 * [taylor]: Taking taylor expansion of 1/3 in N 1.021 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.021 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.021 * [taylor]: Taking taylor expansion of N in N 1.021 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.021 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.021 * [taylor]: Taking taylor expansion of N in N 1.021 * [taylor]: Taking taylor expansion of 1.0 in N 1.107 * [approximate]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in (N) around 0 1.107 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 1.107 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.107 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.107 * [taylor]: Taking taylor expansion of -1 in N 1.108 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.108 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.108 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.108 * [taylor]: Taking taylor expansion of 1/3 in N 1.108 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.108 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.108 * [taylor]: Taking taylor expansion of N in N 1.108 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.108 * [taylor]: Taking taylor expansion of 1.0 in N 1.108 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.108 * [taylor]: Taking taylor expansion of N in N 1.116 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 1.116 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.116 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.116 * [taylor]: Taking taylor expansion of -1 in N 1.117 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.117 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.117 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.117 * [taylor]: Taking taylor expansion of 1/3 in N 1.117 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.117 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.117 * [taylor]: Taking taylor expansion of N in N 1.117 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.117 * [taylor]: Taking taylor expansion of 1.0 in N 1.117 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.117 * [taylor]: Taking taylor expansion of N in N 1.202 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.203 * [approximate]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in (N) around 0 1.203 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 1.203 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 1.203 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 1.203 * [taylor]: Taking taylor expansion of 1/3 in N 1.203 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.203 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.203 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.203 * [taylor]: Taking taylor expansion of N in N 1.203 * [taylor]: Taking taylor expansion of 1.0 in N 1.203 * [taylor]: Taking taylor expansion of N in N 1.205 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 1.205 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 1.205 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 1.205 * [taylor]: Taking taylor expansion of 1/3 in N 1.205 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.205 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.205 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.205 * [taylor]: Taking taylor expansion of N in N 1.205 * [taylor]: Taking taylor expansion of 1.0 in N 1.205 * [taylor]: Taking taylor expansion of N in N 1.237 * [approximate]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in (N) around 0 1.238 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.238 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.238 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.238 * [taylor]: Taking taylor expansion of 1/3 in N 1.238 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.238 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.238 * [taylor]: Taking taylor expansion of N in N 1.238 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.238 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.238 * [taylor]: Taking taylor expansion of N in N 1.238 * [taylor]: Taking taylor expansion of 1.0 in N 1.248 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.248 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.248 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.248 * [taylor]: Taking taylor expansion of 1/3 in N 1.248 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.248 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.248 * [taylor]: Taking taylor expansion of N in N 1.248 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.248 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.248 * [taylor]: Taking taylor expansion of N in N 1.248 * [taylor]: Taking taylor expansion of 1.0 in N 1.281 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in (N) around 0 1.281 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.281 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.281 * [taylor]: Taking taylor expansion of -1 in N 1.282 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.282 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.282 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.282 * [taylor]: Taking taylor expansion of 1/3 in N 1.282 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.282 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.282 * [taylor]: Taking taylor expansion of N in N 1.282 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.282 * [taylor]: Taking taylor expansion of 1.0 in N 1.282 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.282 * [taylor]: Taking taylor expansion of N in N 1.286 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.287 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.287 * [taylor]: Taking taylor expansion of -1 in N 1.287 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.287 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.287 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.287 * [taylor]: Taking taylor expansion of 1/3 in N 1.287 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.287 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.287 * [taylor]: Taking taylor expansion of N in N 1.287 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.287 * [taylor]: Taking taylor expansion of 1.0 in N 1.287 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.288 * [taylor]: Taking taylor expansion of N in N 1.339 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 1.340 * [approximate]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in (N) around 0 1.340 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 1.340 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 1.340 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 1.340 * [taylor]: Taking taylor expansion of 1/3 in N 1.340 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.340 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.340 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.340 * [taylor]: Taking taylor expansion of N in N 1.340 * [taylor]: Taking taylor expansion of 1.0 in N 1.340 * [taylor]: Taking taylor expansion of N in N 1.342 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 1.342 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 1.342 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 1.342 * [taylor]: Taking taylor expansion of 1/3 in N 1.342 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.342 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.342 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.342 * [taylor]: Taking taylor expansion of N in N 1.342 * [taylor]: Taking taylor expansion of 1.0 in N 1.342 * [taylor]: Taking taylor expansion of N in N 1.378 * [approximate]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in (N) around 0 1.379 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.379 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.379 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.379 * [taylor]: Taking taylor expansion of 1/3 in N 1.379 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.379 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.379 * [taylor]: Taking taylor expansion of N in N 1.379 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.379 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.379 * [taylor]: Taking taylor expansion of N in N 1.379 * [taylor]: Taking taylor expansion of 1.0 in N 1.389 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.389 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.389 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.389 * [taylor]: Taking taylor expansion of 1/3 in N 1.389 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.389 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.389 * [taylor]: Taking taylor expansion of N in N 1.389 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.389 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.389 * [taylor]: Taking taylor expansion of N in N 1.390 * [taylor]: Taking taylor expansion of 1.0 in N 1.415 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in (N) around 0 1.415 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.415 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.415 * [taylor]: Taking taylor expansion of -1 in N 1.416 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.416 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.416 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.416 * [taylor]: Taking taylor expansion of 1/3 in N 1.416 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.416 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.416 * [taylor]: Taking taylor expansion of N in N 1.416 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.416 * [taylor]: Taking taylor expansion of 1.0 in N 1.416 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.416 * [taylor]: Taking taylor expansion of N in N 1.421 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.421 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.421 * [taylor]: Taking taylor expansion of -1 in N 1.422 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.422 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.422 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.422 * [taylor]: Taking taylor expansion of 1/3 in N 1.422 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.422 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.422 * [taylor]: Taking taylor expansion of N in N 1.422 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.422 * [taylor]: Taking taylor expansion of 1.0 in N 1.422 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.422 * [taylor]: Taking taylor expansion of N in N 1.480 * * * [progress]: simplifying candidates 1.483 * [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 (cbrt (- (+ N 1.0)))) (log (cbrt (- N))) (log (cbrt 1)) (log (cbrt (/ N (+ N 1.0)))) (log (cbrt (/ (+ N 1.0) (* (cbrt N) (cbrt N))))) (log (cbrt (cbrt N))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) (log (cbrt (sqrt N))) (log (cbrt (/ (+ N 1.0) 1))) (log (cbrt N)) (log (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (cbrt (/ N (cbrt (+ N 1.0))))) (log (cbrt (sqrt (+ N 1.0)))) (log (cbrt (/ N (sqrt (+ N 1.0))))) (log (cbrt 1)) (log (cbrt (/ N (+ N 1.0)))) (log (cbrt 1)) (log (cbrt (/ N (+ N 1.0)))) (log (cbrt (+ (pow N 3) (pow 1.0 3)))) (log (cbrt (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))) (log (cbrt (- (* N N) (* 1.0 1.0)))) (log (cbrt (* N (- N 1.0)))) (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 (cbrt (- (+ N 1.0)))) (log (cbrt (- N))) (log (cbrt 1)) (log (cbrt (/ N (+ N 1.0)))) (log (cbrt (/ (+ N 1.0) (* (cbrt N) (cbrt N))))) (log (cbrt (cbrt N))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) (log (cbrt (sqrt N))) (log (cbrt (/ (+ N 1.0) 1))) (log (cbrt N)) (log (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (cbrt (/ N (cbrt (+ N 1.0))))) (log (cbrt (sqrt (+ N 1.0)))) (log (cbrt (/ N (sqrt (+ N 1.0))))) (log (cbrt 1)) (log (cbrt (/ N (+ N 1.0)))) (log (cbrt 1)) (log (cbrt (/ N (+ N 1.0)))) (log (cbrt (+ (pow N 3) (pow 1.0 3)))) (log (cbrt (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))) (log (cbrt (- (* N N) (* 1.0 1.0)))) (log (cbrt (* N (- N 1.0)))) (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 (- (+ N 1.0))) (cbrt (- N)) (cbrt 1) (cbrt (/ N (+ N 1.0))) (cbrt (/ (+ N 1.0) (* (cbrt N) (cbrt N)))) (cbrt (cbrt N)) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (sqrt N)) (cbrt (/ (+ N 1.0) 1)) (cbrt N) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (/ N (cbrt (+ N 1.0)))) (cbrt (sqrt (+ N 1.0))) (cbrt (/ N (sqrt (+ N 1.0)))) (cbrt 1) (cbrt (/ N (+ N 1.0))) (cbrt 1) (cbrt (/ N (+ N 1.0))) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (* N (- N 1.0))) (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (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 (- (+ N 1.0))) (cbrt (- N)) (cbrt 1) (cbrt (/ N (+ N 1.0))) (cbrt (/ (+ N 1.0) (* (cbrt N) (cbrt N)))) (cbrt (cbrt N)) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (sqrt N)) (cbrt (/ (+ N 1.0) 1)) (cbrt N) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (/ N (cbrt (+ N 1.0)))) (cbrt (sqrt (+ N 1.0))) (cbrt (/ N (sqrt (+ N 1.0)))) (cbrt 1) (cbrt (/ N (+ N 1.0))) (cbrt 1) (cbrt (/ N (+ N 1.0))) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (* N (- N 1.0))) (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (- (+ (* 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))))) 1.491 * * [simplify]: iteration 0 : 353 enodes (cost 1400 ) 1.497 * * [simplify]: iteration 1 : 994 enodes (cost 1336 ) 1.515 * * [simplify]: iteration 2 : 4139 enodes (cost 1312 ) 1.601 * * [simplify]: iteration 3 : 5001 enodes (cost 1292 ) 1.609 * [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))))) (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)))) (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)) (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)) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt 1)) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt (/ 1 N))) (* 2 (log (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)))) 0 (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt N)) (log (cbrt (- (+ N 1.0)))) (log (cbrt (- N))) (log (cbrt 1)) (log (cbrt (/ N (+ N 1.0)))) (log (cbrt (/ (+ N 1.0) (* (cbrt N) (cbrt N))))) (log (cbrt (cbrt N))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) (log (cbrt (sqrt N))) (log (cbrt (+ N 1.0))) (log (cbrt N)) (log (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (cbrt (/ N (cbrt (+ N 1.0))))) (log (cbrt (sqrt (+ N 1.0)))) (log (cbrt (/ N (sqrt (+ N 1.0))))) (log (cbrt 1)) (log (cbrt (/ N (+ N 1.0)))) (log (cbrt 1)) (log (cbrt (/ N (+ N 1.0)))) (log (cbrt (+ (pow N 3) (pow 1.0 3)))) (log (cbrt (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))) (log (cbrt (- (* N N) (* 1.0 1.0)))) (log (cbrt (* N (- N 1.0)))) (log (/ (+ N 1.0) N)) (log (cbrt (/ (+ N 1.0) N))) (log (log (cbrt (/ (+ N 1.0) N)))) (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)))) (pow (log (cbrt (/ (+ N 1.0) N))) 3) (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))))) (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)))) (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)) (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)) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt 1)) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt (/ 1 N))) (* 2 (log (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)))) 0 (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt N)) (log (cbrt (- (+ N 1.0)))) (log (cbrt (- N))) (log (cbrt 1)) (log (cbrt (/ N (+ N 1.0)))) (log (cbrt (/ (+ N 1.0) (* (cbrt N) (cbrt N))))) (log (cbrt (cbrt N))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) (log (cbrt (sqrt N))) (log (cbrt (+ N 1.0))) (log (cbrt N)) (log (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (cbrt (/ N (cbrt (+ N 1.0))))) (log (cbrt (sqrt (+ N 1.0)))) (log (cbrt (/ N (sqrt (+ N 1.0))))) (log (cbrt 1)) (log (cbrt (/ N (+ N 1.0)))) (log (cbrt 1)) (log (cbrt (/ N (+ N 1.0)))) (log (cbrt (+ (pow N 3) (pow 1.0 3)))) (log (cbrt (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))) (log (cbrt (- (* N N) (* 1.0 1.0)))) (log (cbrt (* N (- N 1.0)))) (log (/ (+ N 1.0) N)) (log (cbrt (/ (+ N 1.0) N))) (log (log (cbrt (/ (+ N 1.0) N)))) (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)))) (pow (log (cbrt (/ (+ N 1.0) N))) 3) (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)))) (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))) (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) (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) (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 (- (+ N 1.0))) (cbrt (- N)) (cbrt 1) (cbrt (/ N (+ N 1.0))) (cbrt (/ (+ N 1.0) (* (cbrt N) (cbrt N)))) (cbrt (cbrt N)) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (sqrt N)) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (/ N (cbrt (+ N 1.0)))) (cbrt (sqrt (+ N 1.0))) (cbrt (/ N (sqrt (+ N 1.0)))) (cbrt 1) (cbrt (/ N (+ N 1.0))) (cbrt 1) (cbrt (/ N (+ N 1.0))) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (* N (- N 1.0))) (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (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)))) (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))) (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) (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) (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 (- (+ N 1.0))) (cbrt (- N)) (cbrt 1) (cbrt (/ N (+ N 1.0))) (cbrt (/ (+ N 1.0) (* (cbrt N) (cbrt N)))) (cbrt (cbrt N)) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (sqrt N)) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (/ N (cbrt (+ N 1.0)))) (cbrt (sqrt (+ N 1.0))) (cbrt (/ N (sqrt (+ N 1.0)))) (cbrt 1) (cbrt (/ N (+ N 1.0))) (cbrt 1) (cbrt (/ N (+ N 1.0))) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (* N (- N 1.0))) (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (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))) 1.610 * * * [progress]: adding candidates to table 2.018 * * [progress]: iteration 4 / 4 2.018 * * * [progress]: picking best candidate 2.024 * * * * [pick]: Picked # 2.024 * * * [progress]: localizing error 2.046 * * * [progress]: generating rewritten candidates 2.047 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.113 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 2.120 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 2.151 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1 2) 2.204 * * * [progress]: generating series expansions 2.204 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.204 * [approximate]: Taking taylor expansion of (+ (log (* (pow (/ 1 (pow N 2)) 1/9) (pow (+ N 1.0) 1/6))) (log (* (pow (/ 1 N) 1/9) (pow (+ N 1.0) 1/6)))) in (N) around 0 2.204 * [taylor]: Taking taylor expansion of (+ (log (* (pow (/ 1 (pow N 2)) 1/9) (pow (+ N 1.0) 1/6))) (log (* (pow (/ 1 N) 1/9) (pow (+ N 1.0) 1/6)))) in N 2.204 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 (pow N 2)) 1/9) (pow (+ N 1.0) 1/6))) in N 2.204 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/9) (pow (+ N 1.0) 1/6)) in N 2.204 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/9) in N 2.204 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow N 2))))) in N 2.204 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 (pow N 2)))) in N 2.204 * [taylor]: Taking taylor expansion of 1/9 in N 2.204 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 2.204 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.204 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.204 * [taylor]: Taking taylor expansion of N in N 2.206 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/6) in N 2.206 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ N 1.0)))) in N 2.206 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ N 1.0))) in N 2.206 * [taylor]: Taking taylor expansion of 1/6 in N 2.206 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.206 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.206 * [taylor]: Taking taylor expansion of N in N 2.206 * [taylor]: Taking taylor expansion of 1.0 in N 2.209 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 N) 1/9) (pow (+ N 1.0) 1/6))) in N 2.209 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/9) (pow (+ N 1.0) 1/6)) in N 2.209 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/9) in N 2.209 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 N)))) in N 2.209 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 N))) in N 2.209 * [taylor]: Taking taylor expansion of 1/9 in N 2.209 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.209 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.209 * [taylor]: Taking taylor expansion of N in N 2.219 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/6) in N 2.220 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ N 1.0)))) in N 2.220 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ N 1.0))) in N 2.220 * [taylor]: Taking taylor expansion of 1/6 in N 2.220 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.220 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.220 * [taylor]: Taking taylor expansion of N in N 2.220 * [taylor]: Taking taylor expansion of 1.0 in N 2.223 * [taylor]: Taking taylor expansion of (+ (log (* (pow (/ 1 (pow N 2)) 1/9) (pow (+ N 1.0) 1/6))) (log (* (pow (/ 1 N) 1/9) (pow (+ N 1.0) 1/6)))) in N 2.223 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 (pow N 2)) 1/9) (pow (+ N 1.0) 1/6))) in N 2.223 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/9) (pow (+ N 1.0) 1/6)) in N 2.223 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/9) in N 2.223 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow N 2))))) in N 2.223 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 (pow N 2)))) in N 2.223 * [taylor]: Taking taylor expansion of 1/9 in N 2.223 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 2.223 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.223 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.223 * [taylor]: Taking taylor expansion of N in N 2.224 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/6) in N 2.224 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ N 1.0)))) in N 2.224 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ N 1.0))) in N 2.224 * [taylor]: Taking taylor expansion of 1/6 in N 2.224 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.224 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.224 * [taylor]: Taking taylor expansion of N in N 2.224 * [taylor]: Taking taylor expansion of 1.0 in N 2.228 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 N) 1/9) (pow (+ N 1.0) 1/6))) in N 2.228 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/9) (pow (+ N 1.0) 1/6)) in N 2.228 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/9) in N 2.228 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 N)))) in N 2.228 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 N))) in N 2.228 * [taylor]: Taking taylor expansion of 1/9 in N 2.228 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.228 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.228 * [taylor]: Taking taylor expansion of N in N 2.229 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/6) in N 2.229 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ N 1.0)))) in N 2.229 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ N 1.0))) in N 2.229 * [taylor]: Taking taylor expansion of 1/6 in N 2.229 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.229 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.229 * [taylor]: Taking taylor expansion of N in N 2.229 * [taylor]: Taking taylor expansion of 1.0 in N 2.348 * [approximate]: Taking taylor expansion of (+ (log (* (pow N 1/9) (pow (+ (/ 1 N) 1.0) 1/6))) (log (* (pow (pow N 2) 1/9) (pow (+ (/ 1 N) 1.0) 1/6)))) in (N) around 0 2.348 * [taylor]: Taking taylor expansion of (+ (log (* (pow N 1/9) (pow (+ (/ 1 N) 1.0) 1/6))) (log (* (pow (pow N 2) 1/9) (pow (+ (/ 1 N) 1.0) 1/6)))) in N 2.348 * [taylor]: Taking taylor expansion of (log (* (pow N 1/9) (pow (+ (/ 1 N) 1.0) 1/6))) in N 2.348 * [taylor]: Taking taylor expansion of (* (pow N 1/9) (pow (+ (/ 1 N) 1.0) 1/6)) in N 2.348 * [taylor]: Taking taylor expansion of (pow N 1/9) in N 2.348 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log N))) in N 2.348 * [taylor]: Taking taylor expansion of (* 1/9 (log N)) in N 2.348 * [taylor]: Taking taylor expansion of 1/9 in N 2.348 * [taylor]: Taking taylor expansion of (log N) in N 2.348 * [taylor]: Taking taylor expansion of N in N 2.349 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/6) in N 2.349 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 N) 1.0)))) in N 2.349 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 N) 1.0))) in N 2.349 * [taylor]: Taking taylor expansion of 1/6 in N 2.349 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.349 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.349 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.349 * [taylor]: Taking taylor expansion of N in N 2.349 * [taylor]: Taking taylor expansion of 1.0 in N 2.350 * [taylor]: Taking taylor expansion of (log (* (pow (pow N 2) 1/9) (pow (+ (/ 1 N) 1.0) 1/6))) in N 2.351 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/9) (pow (+ (/ 1 N) 1.0) 1/6)) in N 2.351 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/9) in N 2.351 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow N 2)))) in N 2.351 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow N 2))) in N 2.351 * [taylor]: Taking taylor expansion of 1/9 in N 2.351 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 2.351 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.351 * [taylor]: Taking taylor expansion of N in N 2.352 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/6) in N 2.352 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 N) 1.0)))) in N 2.352 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 N) 1.0))) in N 2.352 * [taylor]: Taking taylor expansion of 1/6 in N 2.352 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.352 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.352 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.352 * [taylor]: Taking taylor expansion of N in N 2.352 * [taylor]: Taking taylor expansion of 1.0 in N 2.353 * [taylor]: Taking taylor expansion of (+ (log (* (pow N 1/9) (pow (+ (/ 1 N) 1.0) 1/6))) (log (* (pow (pow N 2) 1/9) (pow (+ (/ 1 N) 1.0) 1/6)))) in N 2.353 * [taylor]: Taking taylor expansion of (log (* (pow N 1/9) (pow (+ (/ 1 N) 1.0) 1/6))) in N 2.353 * [taylor]: Taking taylor expansion of (* (pow N 1/9) (pow (+ (/ 1 N) 1.0) 1/6)) in N 2.353 * [taylor]: Taking taylor expansion of (pow N 1/9) in N 2.353 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log N))) in N 2.353 * [taylor]: Taking taylor expansion of (* 1/9 (log N)) in N 2.353 * [taylor]: Taking taylor expansion of 1/9 in N 2.353 * [taylor]: Taking taylor expansion of (log N) in N 2.353 * [taylor]: Taking taylor expansion of N in N 2.354 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/6) in N 2.354 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 N) 1.0)))) in N 2.354 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 N) 1.0))) in N 2.354 * [taylor]: Taking taylor expansion of 1/6 in N 2.354 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.354 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.354 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.354 * [taylor]: Taking taylor expansion of N in N 2.354 * [taylor]: Taking taylor expansion of 1.0 in N 2.355 * [taylor]: Taking taylor expansion of (log (* (pow (pow N 2) 1/9) (pow (+ (/ 1 N) 1.0) 1/6))) in N 2.355 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/9) (pow (+ (/ 1 N) 1.0) 1/6)) in N 2.355 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/9) in N 2.356 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow N 2)))) in N 2.356 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow N 2))) in N 2.356 * [taylor]: Taking taylor expansion of 1/9 in N 2.356 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 2.356 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.356 * [taylor]: Taking taylor expansion of N in N 2.357 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/6) in N 2.357 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 N) 1.0)))) in N 2.357 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 N) 1.0))) in N 2.357 * [taylor]: Taking taylor expansion of 1/6 in N 2.357 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.357 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.357 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.357 * [taylor]: Taking taylor expansion of N in N 2.357 * [taylor]: Taking taylor expansion of 1.0 in N 2.418 * [approximate]: Taking taylor expansion of (+ (log (* (pow (/ 1 (cbrt -1)) 1/3) (* (pow N 1/9) (pow (- 1.0 (/ 1 N)) 1/6)))) (log (* (pow (/ 1 (pow (cbrt -1) 2)) 1/3) (* (pow (pow N 2) 1/9) (pow (- 1.0 (/ 1 N)) 1/6))))) in (N) around 0 2.418 * [taylor]: Taking taylor expansion of (+ (log (* (pow (/ 1 (cbrt -1)) 1/3) (* (pow N 1/9) (pow (- 1.0 (/ 1 N)) 1/6)))) (log (* (pow (/ 1 (pow (cbrt -1) 2)) 1/3) (* (pow (pow N 2) 1/9) (pow (- 1.0 (/ 1 N)) 1/6))))) in N 2.418 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 (cbrt -1)) 1/3) (* (pow N 1/9) (pow (- 1.0 (/ 1 N)) 1/6)))) in N 2.418 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (cbrt -1)) 1/3) (* (pow N 1/9) (pow (- 1.0 (/ 1 N)) 1/6))) in N 2.418 * [taylor]: Taking taylor expansion of (pow (/ 1 (cbrt -1)) 1/3) in N 2.418 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (cbrt -1))))) in N 2.418 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (cbrt -1)))) in N 2.418 * [taylor]: Taking taylor expansion of 1/3 in N 2.418 * [taylor]: Taking taylor expansion of (log (/ 1 (cbrt -1))) in N 2.418 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 2.418 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.418 * [taylor]: Taking taylor expansion of -1 in N 2.425 * [taylor]: Taking taylor expansion of (* (pow N 1/9) (pow (- 1.0 (/ 1 N)) 1/6)) in N 2.425 * [taylor]: Taking taylor expansion of (pow N 1/9) in N 2.425 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log N))) in N 2.425 * [taylor]: Taking taylor expansion of (* 1/9 (log N)) in N 2.425 * [taylor]: Taking taylor expansion of 1/9 in N 2.425 * [taylor]: Taking taylor expansion of (log N) in N 2.425 * [taylor]: Taking taylor expansion of N in N 2.425 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/6) in N 2.425 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 N))))) in N 2.425 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 N)))) in N 2.425 * [taylor]: Taking taylor expansion of 1/6 in N 2.425 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.425 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.425 * [taylor]: Taking taylor expansion of 1.0 in N 2.425 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.425 * [taylor]: Taking taylor expansion of N in N 2.431 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 (pow (cbrt -1) 2)) 1/3) (* (pow (pow N 2) 1/9) (pow (- 1.0 (/ 1 N)) 1/6)))) in N 2.432 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (cbrt -1) 2)) 1/3) (* (pow (pow N 2) 1/9) (pow (- 1.0 (/ 1 N)) 1/6))) in N 2.432 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (cbrt -1) 2)) 1/3) in N 2.432 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (cbrt -1) 2))))) in N 2.432 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (cbrt -1) 2)))) in N 2.432 * [taylor]: Taking taylor expansion of 1/3 in N 2.432 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (cbrt -1) 2))) in N 2.432 * [taylor]: Taking taylor expansion of (/ 1 (pow (cbrt -1) 2)) in N 2.432 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 2.432 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.432 * [taylor]: Taking taylor expansion of -1 in N 2.441 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/9) (pow (- 1.0 (/ 1 N)) 1/6)) in N 2.441 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/9) in N 2.441 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow N 2)))) in N 2.441 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow N 2))) in N 2.441 * [taylor]: Taking taylor expansion of 1/9 in N 2.441 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 2.441 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.441 * [taylor]: Taking taylor expansion of N in N 2.442 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/6) in N 2.442 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 N))))) in N 2.442 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 N)))) in N 2.442 * [taylor]: Taking taylor expansion of 1/6 in N 2.442 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.442 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.442 * [taylor]: Taking taylor expansion of 1.0 in N 2.442 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.442 * [taylor]: Taking taylor expansion of N in N 2.450 * [taylor]: Taking taylor expansion of (+ (log (* (pow (/ 1 (cbrt -1)) 1/3) (* (pow N 1/9) (pow (- 1.0 (/ 1 N)) 1/6)))) (log (* (pow (/ 1 (pow (cbrt -1) 2)) 1/3) (* (pow (pow N 2) 1/9) (pow (- 1.0 (/ 1 N)) 1/6))))) in N 2.450 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 (cbrt -1)) 1/3) (* (pow N 1/9) (pow (- 1.0 (/ 1 N)) 1/6)))) in N 2.450 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (cbrt -1)) 1/3) (* (pow N 1/9) (pow (- 1.0 (/ 1 N)) 1/6))) in N 2.450 * [taylor]: Taking taylor expansion of (pow (/ 1 (cbrt -1)) 1/3) in N 2.450 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (cbrt -1))))) in N 2.450 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (cbrt -1)))) in N 2.450 * [taylor]: Taking taylor expansion of 1/3 in N 2.450 * [taylor]: Taking taylor expansion of (log (/ 1 (cbrt -1))) in N 2.450 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 2.450 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.450 * [taylor]: Taking taylor expansion of -1 in N 2.456 * [taylor]: Taking taylor expansion of (* (pow N 1/9) (pow (- 1.0 (/ 1 N)) 1/6)) in N 2.456 * [taylor]: Taking taylor expansion of (pow N 1/9) in N 2.456 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log N))) in N 2.456 * [taylor]: Taking taylor expansion of (* 1/9 (log N)) in N 2.456 * [taylor]: Taking taylor expansion of 1/9 in N 2.456 * [taylor]: Taking taylor expansion of (log N) in N 2.456 * [taylor]: Taking taylor expansion of N in N 2.457 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/6) in N 2.457 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 N))))) in N 2.457 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 N)))) in N 2.457 * [taylor]: Taking taylor expansion of 1/6 in N 2.457 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.457 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.457 * [taylor]: Taking taylor expansion of 1.0 in N 2.457 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.457 * [taylor]: Taking taylor expansion of N in N 2.463 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 (pow (cbrt -1) 2)) 1/3) (* (pow (pow N 2) 1/9) (pow (- 1.0 (/ 1 N)) 1/6)))) in N 2.463 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (cbrt -1) 2)) 1/3) (* (pow (pow N 2) 1/9) (pow (- 1.0 (/ 1 N)) 1/6))) in N 2.463 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (cbrt -1) 2)) 1/3) in N 2.463 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (cbrt -1) 2))))) in N 2.463 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (cbrt -1) 2)))) in N 2.463 * [taylor]: Taking taylor expansion of 1/3 in N 2.463 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (cbrt -1) 2))) in N 2.463 * [taylor]: Taking taylor expansion of (/ 1 (pow (cbrt -1) 2)) in N 2.463 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 2.463 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.463 * [taylor]: Taking taylor expansion of -1 in N 2.472 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/9) (pow (- 1.0 (/ 1 N)) 1/6)) in N 2.472 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/9) in N 2.472 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow N 2)))) in N 2.472 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow N 2))) in N 2.472 * [taylor]: Taking taylor expansion of 1/9 in N 2.472 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 2.472 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.473 * [taylor]: Taking taylor expansion of N in N 2.479 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/6) in N 2.479 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 N))))) in N 2.479 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 N)))) in N 2.479 * [taylor]: Taking taylor expansion of 1/6 in N 2.479 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.479 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.479 * [taylor]: Taking taylor expansion of 1.0 in N 2.479 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.479 * [taylor]: Taking taylor expansion of N in N 2.622 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 2.623 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in (N) around 0 2.623 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 2.623 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 2.623 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 2.623 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 2.623 * [taylor]: Taking taylor expansion of 1/3 in N 2.623 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.623 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.623 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.623 * [taylor]: Taking taylor expansion of N in N 2.623 * [taylor]: Taking taylor expansion of 1.0 in N 2.623 * [taylor]: Taking taylor expansion of N in N 2.625 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 2.625 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 2.625 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 2.625 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 2.625 * [taylor]: Taking taylor expansion of 1/3 in N 2.625 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.625 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.625 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.625 * [taylor]: Taking taylor expansion of N in N 2.625 * [taylor]: Taking taylor expansion of 1.0 in N 2.625 * [taylor]: Taking taylor expansion of N in N 2.664 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in (N) around 0 2.665 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 2.665 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 2.665 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 2.665 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 2.665 * [taylor]: Taking taylor expansion of 1/3 in N 2.665 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.665 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.665 * [taylor]: Taking taylor expansion of N in N 2.665 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.665 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.665 * [taylor]: Taking taylor expansion of N in N 2.665 * [taylor]: Taking taylor expansion of 1.0 in N 2.675 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 2.675 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 2.675 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 2.675 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 2.675 * [taylor]: Taking taylor expansion of 1/3 in N 2.675 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.675 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.675 * [taylor]: Taking taylor expansion of N in N 2.675 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.675 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.675 * [taylor]: Taking taylor expansion of N in N 2.676 * [taylor]: Taking taylor expansion of 1.0 in N 2.756 * [approximate]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in (N) around 0 2.756 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 2.756 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 2.756 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.756 * [taylor]: Taking taylor expansion of -1 in N 2.757 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 2.757 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 2.757 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 2.757 * [taylor]: Taking taylor expansion of 1/3 in N 2.757 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 2.757 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.757 * [taylor]: Taking taylor expansion of N in N 2.757 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.757 * [taylor]: Taking taylor expansion of 1.0 in N 2.757 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.757 * [taylor]: Taking taylor expansion of N in N 2.764 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 2.765 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 2.765 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.765 * [taylor]: Taking taylor expansion of -1 in N 2.765 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 2.765 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 2.765 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 2.765 * [taylor]: Taking taylor expansion of 1/3 in N 2.765 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 2.765 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.765 * [taylor]: Taking taylor expansion of N in N 2.766 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.766 * [taylor]: Taking taylor expansion of 1.0 in N 2.766 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.766 * [taylor]: Taking taylor expansion of N in N 3.065 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 3.065 * [approximate]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/9) (pow (+ N 1.0) 1/6)) in (N) around 0 3.065 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/9) (pow (+ N 1.0) 1/6)) in N 3.065 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/9) in N 3.065 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow N 2))))) in N 3.065 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 (pow N 2)))) in N 3.065 * [taylor]: Taking taylor expansion of 1/9 in N 3.065 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 3.065 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.065 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.065 * [taylor]: Taking taylor expansion of N in N 3.067 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/6) in N 3.067 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ N 1.0)))) in N 3.067 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ N 1.0))) in N 3.067 * [taylor]: Taking taylor expansion of 1/6 in N 3.067 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 3.067 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.067 * [taylor]: Taking taylor expansion of N in N 3.067 * [taylor]: Taking taylor expansion of 1.0 in N 3.069 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/9) (pow (+ N 1.0) 1/6)) in N 3.069 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/9) in N 3.069 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow N 2))))) in N 3.069 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 (pow N 2)))) in N 3.069 * [taylor]: Taking taylor expansion of 1/9 in N 3.069 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 3.069 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.069 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.069 * [taylor]: Taking taylor expansion of N in N 3.071 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/6) in N 3.071 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ N 1.0)))) in N 3.071 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ N 1.0))) in N 3.071 * [taylor]: Taking taylor expansion of 1/6 in N 3.071 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 3.071 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.071 * [taylor]: Taking taylor expansion of N in N 3.071 * [taylor]: Taking taylor expansion of 1.0 in N 3.126 * [approximate]: Taking taylor expansion of (* (pow (pow N 2) 1/9) (pow (+ (/ 1 N) 1.0) 1/6)) in (N) around 0 3.126 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/9) (pow (+ (/ 1 N) 1.0) 1/6)) in N 3.126 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/9) in N 3.126 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow N 2)))) in N 3.126 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow N 2))) in N 3.126 * [taylor]: Taking taylor expansion of 1/9 in N 3.126 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 3.126 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.126 * [taylor]: Taking taylor expansion of N in N 3.127 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/6) in N 3.127 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 N) 1.0)))) in N 3.127 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 N) 1.0))) in N 3.127 * [taylor]: Taking taylor expansion of 1/6 in N 3.127 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 3.127 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.127 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.127 * [taylor]: Taking taylor expansion of N in N 3.128 * [taylor]: Taking taylor expansion of 1.0 in N 3.129 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/9) (pow (+ (/ 1 N) 1.0) 1/6)) in N 3.129 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/9) in N 3.129 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow N 2)))) in N 3.129 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow N 2))) in N 3.129 * [taylor]: Taking taylor expansion of 1/9 in N 3.129 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 3.129 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.129 * [taylor]: Taking taylor expansion of N in N 3.130 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/6) in N 3.130 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 N) 1.0)))) in N 3.130 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 N) 1.0))) in N 3.130 * [taylor]: Taking taylor expansion of 1/6 in N 3.130 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 3.130 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.130 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.130 * [taylor]: Taking taylor expansion of N in N 3.130 * [taylor]: Taking taylor expansion of 1.0 in N 3.159 * [approximate]: Taking taylor expansion of (* (pow (/ 1 (pow (cbrt -1) 2)) 1/3) (* (pow (pow N 2) 1/9) (pow (- 1.0 (/ 1 N)) 1/6))) in (N) around 0 3.159 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (cbrt -1) 2)) 1/3) (* (pow (pow N 2) 1/9) (pow (- 1.0 (/ 1 N)) 1/6))) in N 3.159 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (cbrt -1) 2)) 1/3) in N 3.159 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (cbrt -1) 2))))) in N 3.159 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (cbrt -1) 2)))) in N 3.159 * [taylor]: Taking taylor expansion of 1/3 in N 3.159 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (cbrt -1) 2))) in N 3.159 * [taylor]: Taking taylor expansion of (/ 1 (pow (cbrt -1) 2)) in N 3.159 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 3.160 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.160 * [taylor]: Taking taylor expansion of -1 in N 3.169 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/9) (pow (- 1.0 (/ 1 N)) 1/6)) in N 3.169 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/9) in N 3.170 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow N 2)))) in N 3.170 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow N 2))) in N 3.170 * [taylor]: Taking taylor expansion of 1/9 in N 3.170 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 3.170 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.170 * [taylor]: Taking taylor expansion of N in N 3.171 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/6) in N 3.171 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 N))))) in N 3.171 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 N)))) in N 3.171 * [taylor]: Taking taylor expansion of 1/6 in N 3.171 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 3.171 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.171 * [taylor]: Taking taylor expansion of 1.0 in N 3.171 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.171 * [taylor]: Taking taylor expansion of N in N 3.173 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (cbrt -1) 2)) 1/3) (* (pow (pow N 2) 1/9) (pow (- 1.0 (/ 1 N)) 1/6))) in N 3.173 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (cbrt -1) 2)) 1/3) in N 3.173 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (cbrt -1) 2))))) in N 3.173 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (cbrt -1) 2)))) in N 3.173 * [taylor]: Taking taylor expansion of 1/3 in N 3.173 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (cbrt -1) 2))) in N 3.173 * [taylor]: Taking taylor expansion of (/ 1 (pow (cbrt -1) 2)) in N 3.173 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 3.173 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.173 * [taylor]: Taking taylor expansion of -1 in N 3.183 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/9) (pow (- 1.0 (/ 1 N)) 1/6)) in N 3.183 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/9) in N 3.183 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow N 2)))) in N 3.183 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow N 2))) in N 3.183 * [taylor]: Taking taylor expansion of 1/9 in N 3.183 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 3.183 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.183 * [taylor]: Taking taylor expansion of N in N 3.184 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/6) in N 3.184 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 N))))) in N 3.184 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 N)))) in N 3.184 * [taylor]: Taking taylor expansion of 1/6 in N 3.184 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 3.184 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.184 * [taylor]: Taking taylor expansion of 1.0 in N 3.184 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.184 * [taylor]: Taking taylor expansion of N in N 3.257 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1 2) 3.257 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 3.257 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 3.257 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 3.257 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 3.257 * [taylor]: Taking taylor expansion of 1/3 in N 3.257 * [taylor]: Taking taylor expansion of (log N) in N 3.257 * [taylor]: Taking taylor expansion of N in N 3.258 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 3.258 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 3.258 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 3.258 * [taylor]: Taking taylor expansion of 1/3 in N 3.258 * [taylor]: Taking taylor expansion of (log N) in N 3.258 * [taylor]: Taking taylor expansion of N in N 3.314 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 3.314 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.314 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.314 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.314 * [taylor]: Taking taylor expansion of 1/3 in N 3.314 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.314 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.314 * [taylor]: Taking taylor expansion of N in N 3.315 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.315 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.315 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.315 * [taylor]: Taking taylor expansion of 1/3 in N 3.315 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.316 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.316 * [taylor]: Taking taylor expansion of N in N 3.376 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 3.376 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 3.376 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.376 * [taylor]: Taking taylor expansion of -1 in N 3.377 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.377 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.377 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.377 * [taylor]: Taking taylor expansion of 1/3 in N 3.377 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.377 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.377 * [taylor]: Taking taylor expansion of N in N 3.378 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 3.378 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.378 * [taylor]: Taking taylor expansion of -1 in N 3.379 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.379 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.379 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.379 * [taylor]: Taking taylor expansion of 1/3 in N 3.379 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.379 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.379 * [taylor]: Taking taylor expansion of N in N 3.451 * * * [progress]: simplifying candidates 3.462 * [simplify]: Simplifying using # : (expm1 (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))))) (log1p (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))))) (* (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (* (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (exp (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))))) (* (exp (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (* (exp (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))))) (exp (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))))) (log (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))))) (exp (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))))) (* (cbrt (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))))) (cbrt (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))))))) (cbrt (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt 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)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))))) (sqrt (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))))) (sqrt (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))))) (+ (pow (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) 3) (pow (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))) 3)) (+ (* (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt 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)) (cbrt 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)) (* (cbrt N) (cbrt 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)) (cbrt N)))))) (- (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt 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)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt 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)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (* (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))))))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (cbrt (* (cbrt N) (cbrt N))))))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (cbrt (sqrt N)))))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (cbrt 1))))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (cbrt N)) (cbrt (cbrt N))))))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt (cbrt N)))))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (* (cbrt (sqrt (+ N 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(pow N 3)) (- (* 0.3333333333333333 (/ 1 N)) (* 0.16666666666666666 (/ 1 (pow N 2))))) (fma 0.3333333333333333 (/ 1 N) (+ (* 2 (log (cbrt -1))) (/ (- 0.16666666666666666) (pow N 2)))) (fma (pow 1.0 1/6) (+ (* 0.013888888888888888 (pow (pow N 16) 1/9)) (pow (/ 1 (pow N 2)) 1/9)) (- (* 0.16666666666666666 (* (pow (pow N 7) 1/9) (pow 1.0 1/6))) (* 1/12 (* (pow (pow N 16) 1/9) (pow (/ 1 (pow 1.0 11)) 1/6))))) (fma (pow (/ 1 (pow N 19)) 1/18) 0.16666666666666666 (- (pow (/ 1 N) 1/18) (* 0.06944444444444445 (pow (/ 1 (pow N 37)) 1/18)))) (fma (* (pow (/ 1 (pow (cbrt -1) 2)) 1/3) (pow (/ 1 (pow N 2)) 1/9)) (exp (* 1/6 (- (log -1) (log (/ -1 N))))) (- (* 0.16666666666666666 (* (pow (/ 1 (pow (cbrt -1) 2)) 1/3) (* (pow (/ 1 (pow N 11)) 1/9) (exp (* 1/6 (- (log -1) (log (/ -1 N)))))))) (* 0.06944444444444445 (* (pow (/ 1 (pow (cbrt -1) 2)) 1/3) (* (pow (/ 1 (pow N 20)) 1/9) (exp (* 1/6 (- (log -1) (log (/ -1 N)))))))))) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) 3.619 * * * [progress]: adding candidates to table 5.654 * [progress]: [Phase 3 of 3] Extracting. 5.654 * * [regime]: Finding splitpoints for: (# # #) 5.655 * * * [regime-changes]: Trying 1 branch expressions: (N) 5.655 * * * * [regimes]: Trying to branch on N from (# # #) 5.676 * * * [regime]: Found split indices: #