14.944 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.048 * * * [progress]: [2/2] Setting up program. 0.051 * [progress]: [Phase 2 of 3] Improving. 0.051 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.053 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.054 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.055 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.055 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.055 * * [progress]: iteration 1 / 4 0.055 * * * [progress]: picking best candidate 0.058 * * * * [pick]: Picked # 0.058 * * * [progress]: localizing error 0.065 * * * [progress]: generating rewritten candidates 0.065 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.068 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.075 * * * [progress]: generating series expansions 0.076 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.076 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.076 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.076 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.076 * [taylor]: Taking taylor expansion of N in N 0.076 * [taylor]: Taking taylor expansion of 1.0 in N 0.077 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.077 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.077 * [taylor]: Taking taylor expansion of N in N 0.077 * [taylor]: Taking taylor expansion of 1.0 in N 0.093 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.093 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.093 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.093 * [taylor]: Taking taylor expansion of N in N 0.093 * [taylor]: Taking taylor expansion of 1.0 in N 0.094 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.094 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.094 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.094 * [taylor]: Taking taylor expansion of N in N 0.095 * [taylor]: Taking taylor expansion of 1.0 in N 0.115 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.115 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.115 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.115 * [taylor]: Taking taylor expansion of 1.0 in N 0.115 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.115 * [taylor]: Taking taylor expansion of N in N 0.116 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.116 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.116 * [taylor]: Taking taylor expansion of 1.0 in N 0.116 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.116 * [taylor]: Taking taylor expansion of N in N 0.134 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.134 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.134 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.135 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.135 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.135 * [taylor]: Taking taylor expansion of N in N 0.135 * [taylor]: Taking taylor expansion of 1.0 in N 0.135 * [taylor]: Taking taylor expansion of (log N) in N 0.135 * [taylor]: Taking taylor expansion of N in N 0.136 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.136 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.136 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.136 * [taylor]: Taking taylor expansion of N in N 0.136 * [taylor]: Taking taylor expansion of 1.0 in N 0.136 * [taylor]: Taking taylor expansion of (log N) in N 0.137 * [taylor]: Taking taylor expansion of N in N 0.159 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.159 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.159 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.159 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.159 * [taylor]: Taking taylor expansion of N in N 0.160 * [taylor]: Taking taylor expansion of 1.0 in N 0.160 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.160 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.160 * [taylor]: Taking taylor expansion of N in N 0.161 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.161 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.161 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.161 * [taylor]: Taking taylor expansion of N in N 0.161 * [taylor]: Taking taylor expansion of 1.0 in N 0.162 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.162 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.162 * [taylor]: Taking taylor expansion of N in N 0.203 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.203 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.203 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.203 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.204 * [taylor]: Taking taylor expansion of 1.0 in N 0.204 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.204 * [taylor]: Taking taylor expansion of N in N 0.205 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.205 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.205 * [taylor]: Taking taylor expansion of -1 in N 0.205 * [taylor]: Taking taylor expansion of N in N 0.206 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.206 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.206 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.206 * [taylor]: Taking taylor expansion of 1.0 in N 0.206 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.206 * [taylor]: Taking taylor expansion of N in N 0.207 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.207 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.207 * [taylor]: Taking taylor expansion of -1 in N 0.207 * [taylor]: Taking taylor expansion of N in N 0.250 * * * [progress]: simplifying candidates 0.250 * [simplify]: Simplifying using # : (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))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (neg (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)) (neg (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)))) 0.254 * * [simplify]: iteration 0 : 212 enodes (cost 281 ) 0.257 * * [simplify]: iteration 1 : 547 enodes (cost 264 ) 0.266 * * [simplify]: iteration 2 : 1874 enodes (cost 250 ) 0.300 * * [simplify]: iteration 3 : 5001 enodes (cost 247 ) 0.302 * [simplify]: Simplified to: (* 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))) (/ (+ 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)) (+ (* (log (+ N 1.0)) (+ (log N) (log (+ N 1.0)))) (* (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)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) 0.302 * * * [progress]: adding candidates to table 0.418 * * [progress]: iteration 2 / 4 0.419 * * * [progress]: picking best candidate 0.424 * * * * [pick]: Picked # 0.424 * * * [progress]: localizing error 0.428 * * * [progress]: generating rewritten candidates 0.429 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.433 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.442 * * * [progress]: generating series expansions 0.442 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.442 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.442 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.442 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.442 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.442 * [taylor]: Taking taylor expansion of N in N 0.442 * [taylor]: Taking taylor expansion of 1.0 in N 0.442 * [taylor]: Taking taylor expansion of N in N 0.443 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.443 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.443 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.443 * [taylor]: Taking taylor expansion of N in N 0.443 * [taylor]: Taking taylor expansion of 1.0 in N 0.443 * [taylor]: Taking taylor expansion of N in N 0.460 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.460 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.460 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.460 * [taylor]: Taking taylor expansion of N in N 0.460 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.460 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.460 * [taylor]: Taking taylor expansion of N in N 0.461 * [taylor]: Taking taylor expansion of 1.0 in N 0.463 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.463 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.463 * [taylor]: Taking taylor expansion of N in N 0.463 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.463 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.463 * [taylor]: Taking taylor expansion of N in N 0.463 * [taylor]: Taking taylor expansion of 1.0 in N 0.495 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.495 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.495 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.495 * [taylor]: Taking taylor expansion of -1 in N 0.495 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.495 * [taylor]: Taking taylor expansion of N in N 0.495 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.495 * [taylor]: Taking taylor expansion of 1.0 in N 0.495 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.495 * [taylor]: Taking taylor expansion of N in N 0.500 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.500 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.500 * [taylor]: Taking taylor expansion of -1 in N 0.500 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.500 * [taylor]: Taking taylor expansion of N in N 0.500 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.500 * [taylor]: Taking taylor expansion of 1.0 in N 0.500 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.500 * [taylor]: Taking taylor expansion of N in N 0.543 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.543 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.543 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.543 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.543 * [taylor]: Taking taylor expansion of N in N 0.543 * [taylor]: Taking taylor expansion of 1.0 in N 0.543 * [taylor]: Taking taylor expansion of N in N 0.544 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.544 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.544 * [taylor]: Taking taylor expansion of N in N 0.544 * [taylor]: Taking taylor expansion of 1.0 in N 0.544 * [taylor]: Taking taylor expansion of N in N 0.552 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.552 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.552 * [taylor]: Taking taylor expansion of N in N 0.552 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.552 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.552 * [taylor]: Taking taylor expansion of N in N 0.553 * [taylor]: Taking taylor expansion of 1.0 in N 0.553 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.553 * [taylor]: Taking taylor expansion of N in N 0.553 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.553 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.553 * [taylor]: Taking taylor expansion of N in N 0.553 * [taylor]: Taking taylor expansion of 1.0 in N 0.570 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.570 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.570 * [taylor]: Taking taylor expansion of -1 in N 0.570 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.570 * [taylor]: Taking taylor expansion of N in N 0.570 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.570 * [taylor]: Taking taylor expansion of 1.0 in N 0.570 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.570 * [taylor]: Taking taylor expansion of N in N 0.571 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.571 * [taylor]: Taking taylor expansion of -1 in N 0.571 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.571 * [taylor]: Taking taylor expansion of N in N 0.571 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.571 * [taylor]: Taking taylor expansion of 1.0 in N 0.571 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.571 * [taylor]: Taking taylor expansion of N in N 0.603 * * * [progress]: simplifying candidates 0.605 * [simplify]: Simplifying using # : (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (neg (+ N 1.0)) (neg N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.608 * * [simplify]: iteration 0 : 233 enodes (cost 373 ) 0.612 * * [simplify]: iteration 1 : 773 enodes (cost 351 ) 0.625 * * [simplify]: iteration 2 : 3489 enodes (cost 339 ) 0.699 * * [simplify]: iteration 3 : 5002 enodes (cost 339 ) 0.702 * [simplify]: Simplified to: (* 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))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (neg (+ N 1.0)) (neg N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (+ N 1.0) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* (+ (* 1.0 (- 1.0 N)) (pow N 2)) N) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.702 * * * [progress]: adding candidates to table 0.853 * * [progress]: iteration 3 / 4 0.853 * * * [progress]: picking best candidate 0.862 * * * * [pick]: Picked # 0.862 * * * [progress]: localizing error 0.869 * * * [progress]: generating rewritten candidates 0.869 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.874 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.878 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.886 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.892 * * * [progress]: generating series expansions 0.892 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.892 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.892 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.892 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.892 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.892 * [taylor]: Taking taylor expansion of N in N 0.892 * [taylor]: Taking taylor expansion of 1.0 in N 0.892 * [taylor]: Taking taylor expansion of N in N 0.893 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.893 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.893 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.893 * [taylor]: Taking taylor expansion of N in N 0.894 * [taylor]: Taking taylor expansion of 1.0 in N 0.894 * [taylor]: Taking taylor expansion of N in N 0.910 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.910 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.910 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.910 * [taylor]: Taking taylor expansion of N in N 0.910 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.910 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.910 * [taylor]: Taking taylor expansion of N in N 0.911 * [taylor]: Taking taylor expansion of 1.0 in N 0.913 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.913 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.913 * [taylor]: Taking taylor expansion of N in N 0.913 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.913 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.913 * [taylor]: Taking taylor expansion of N in N 0.914 * [taylor]: Taking taylor expansion of 1.0 in N 0.945 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.945 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.945 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.946 * [taylor]: Taking taylor expansion of -1 in N 0.946 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.946 * [taylor]: Taking taylor expansion of N in N 0.946 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.946 * [taylor]: Taking taylor expansion of 1.0 in N 0.946 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.946 * [taylor]: Taking taylor expansion of N in N 0.950 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.950 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.950 * [taylor]: Taking taylor expansion of -1 in N 0.950 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.950 * [taylor]: Taking taylor expansion of N in N 0.950 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.950 * [taylor]: Taking taylor expansion of 1.0 in N 0.950 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.950 * [taylor]: Taking taylor expansion of N in N 0.993 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.993 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.993 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.993 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.993 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.993 * [taylor]: Taking taylor expansion of N in N 0.993 * [taylor]: Taking taylor expansion of 1.0 in N 0.993 * [taylor]: Taking taylor expansion of N in N 0.994 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.994 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.994 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.994 * [taylor]: Taking taylor expansion of N in N 0.994 * [taylor]: Taking taylor expansion of 1.0 in N 0.995 * [taylor]: Taking taylor expansion of N in N 1.011 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 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 1.014 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.014 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.014 * [taylor]: Taking taylor expansion of N in N 1.014 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.014 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.014 * [taylor]: Taking taylor expansion of N in N 1.014 * [taylor]: Taking taylor expansion of 1.0 in N 1.049 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.049 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.049 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.049 * [taylor]: Taking taylor expansion of -1 in N 1.049 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.049 * [taylor]: Taking taylor expansion of N in N 1.049 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.049 * [taylor]: Taking taylor expansion of 1.0 in N 1.049 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.049 * [taylor]: Taking taylor expansion of N in N 1.053 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.053 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.053 * [taylor]: Taking taylor expansion of -1 in N 1.053 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.053 * [taylor]: Taking taylor expansion of N in N 1.053 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.053 * [taylor]: Taking taylor expansion of 1.0 in N 1.053 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.053 * [taylor]: Taking taylor expansion of N in N 1.093 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.093 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.093 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.094 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.094 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.094 * [taylor]: Taking taylor expansion of N in N 1.094 * [taylor]: Taking taylor expansion of 1.0 in N 1.094 * [taylor]: Taking taylor expansion of N in N 1.095 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.095 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.095 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.095 * [taylor]: Taking taylor expansion of N in N 1.095 * [taylor]: Taking taylor expansion of 1.0 in N 1.095 * [taylor]: Taking taylor expansion of N in N 1.114 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.114 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.115 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.115 * [taylor]: Taking taylor expansion of N in N 1.115 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.115 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.115 * [taylor]: Taking taylor expansion of N in N 1.115 * [taylor]: Taking taylor expansion of 1.0 in N 1.117 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.117 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.117 * [taylor]: Taking taylor expansion of N in N 1.117 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 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 1.118 * [taylor]: Taking taylor expansion of 1.0 in N 1.150 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.150 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.150 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.150 * [taylor]: Taking taylor expansion of -1 in N 1.150 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.150 * [taylor]: Taking taylor expansion of N in N 1.150 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.150 * [taylor]: Taking taylor expansion of 1.0 in N 1.150 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.150 * [taylor]: Taking taylor expansion of N in N 1.154 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.154 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.154 * [taylor]: Taking taylor expansion of -1 in N 1.154 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.154 * [taylor]: Taking taylor expansion of N in N 1.154 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.154 * [taylor]: Taking taylor expansion of 1.0 in N 1.154 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.154 * [taylor]: Taking taylor expansion of N in N 1.198 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.198 * [approximate]: Taking taylor expansion of (sqrt (log (/ (+ N 1.0) N))) in (N) around 0 1.198 * [taylor]: Taking taylor expansion of (sqrt (log (/ (+ N 1.0) N))) in N 1.198 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.198 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.198 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.198 * [taylor]: Taking taylor expansion of N in N 1.198 * [taylor]: Taking taylor expansion of 1.0 in N 1.198 * [taylor]: Taking taylor expansion of N in N 1.206 * [taylor]: Taking taylor expansion of (sqrt (log (/ (+ N 1.0) N))) in N 1.206 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.206 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.206 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.206 * [taylor]: Taking taylor expansion of N in N 1.206 * [taylor]: Taking taylor expansion of 1.0 in N 1.207 * [taylor]: Taking taylor expansion of N in N 1.231 * [approximate]: Taking taylor expansion of (sqrt (log (* N (+ (/ 1 N) 1.0)))) in (N) around 0 1.231 * [taylor]: Taking taylor expansion of (sqrt (log (* N (+ (/ 1 N) 1.0)))) in N 1.231 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.231 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.231 * [taylor]: Taking taylor expansion of N in N 1.231 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.231 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.231 * [taylor]: Taking taylor expansion of N in N 1.232 * [taylor]: Taking taylor expansion of 1.0 in N 1.243 * [taylor]: Taking taylor expansion of (sqrt (log (* N (+ (/ 1 N) 1.0)))) in N 1.243 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.243 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.243 * [taylor]: Taking taylor expansion of N in N 1.243 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.243 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.243 * [taylor]: Taking taylor expansion of N in N 1.243 * [taylor]: Taking taylor expansion of 1.0 in N 1.300 * [approximate]: Taking taylor expansion of (sqrt (log (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 1.300 * [taylor]: Taking taylor expansion of (sqrt (log (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.300 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.300 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.300 * [taylor]: Taking taylor expansion of -1 in N 1.300 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.300 * [taylor]: Taking taylor expansion of N in N 1.300 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.300 * [taylor]: Taking taylor expansion of 1.0 in N 1.300 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.300 * [taylor]: Taking taylor expansion of N in N 1.316 * [taylor]: Taking taylor expansion of (sqrt (log (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.316 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.316 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.316 * [taylor]: Taking taylor expansion of -1 in N 1.316 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.316 * [taylor]: Taking taylor expansion of N in N 1.316 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.316 * [taylor]: Taking taylor expansion of 1.0 in N 1.316 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.316 * [taylor]: Taking taylor expansion of N in N 1.380 * * * [progress]: simplifying candidates 1.382 * [simplify]: Simplifying using # : (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N)))) (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (+ 1 1) (+ (log (sqrt (log (/ (+ N 1.0) N)))) (log (sqrt (log (/ (+ N 1.0) N))))) (log (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))))) (exp (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))))) (* (* (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N)))) (sqrt (log (/ (+ N 1.0) N)))) (* (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N)))) (sqrt (log (/ (+ N 1.0) N))))) (* (cbrt (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))))) (cbrt (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N)))))) (cbrt (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))))) (* (* (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N)))) (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))))) (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))))) (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (sqrt (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))))) (sqrt (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))))) (* (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N))))) (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N)))))) (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N)))) (* (sqrt (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))) (sqrt (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))))) (* (sqrt (cbrt (log (/ (+ N 1.0) N)))) (sqrt (cbrt (log (/ (+ N 1.0) N))))) (* (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N))))) (* (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N))))) (* (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N))))) (* (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N)))) (* (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N))))) (* (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N))))) (* (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N))))) (* (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N))))) (* 1 1) (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N)))) (* (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N))))) (* (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N))))) (* (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N))))) (* (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N))))) (* (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N))))) (* (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N))))) (* (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N))))) (* (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (log (/ (+ N 1.0) N))) (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N)))))) (* (sqrt (log (/ (+ N 1.0) N))) (sqrt 1)) (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))))) (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (sqrt (log (/ (+ N 1.0) N))))) (* (sqrt (log (/ (+ N 1.0) N))) (sqrt 1)) (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (sqrt (log (/ (+ N 1.0) N))))) (* (sqrt (log (/ (+ N 1.0) N))) 1) (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (log (/ (+ N 1.0) N)))) (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N)))) (* (sqrt (cbrt (log (/ (+ N 1.0) N)))) (sqrt (log (/ (+ N 1.0) N)))) (* (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (log (/ (+ N 1.0) N)))) (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N)))) (* (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (log (/ (+ N 1.0) N)))) (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N)))) (log (sqrt (log (/ (+ N 1.0) N)))) (exp (sqrt (log (/ (+ N 1.0) N)))) (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N))))) (cbrt (sqrt (log (/ (+ N 1.0) N)))) (* (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N)))) (sqrt (log (/ (+ N 1.0) N)))) (sqrt 1) (sqrt (log (/ (+ N 1.0) N))) (sqrt (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))) (sqrt (cbrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt 1) (sqrt (log (/ (+ N 1.0) N))) (/ 1 2) (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (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)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 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)))) (- (+ (sqrt (- (log 1.0) (log N))) (* 0.5 (* N (sqrt (/ 1 (- (log 1.0) (log N))))))) (+ (* 1/4 (* (/ (pow N 2) (pow 1.0 2)) (sqrt (/ 1 (- (log 1.0) (log N)))))) (* 0.125 (* (pow N 2) (sqrt (/ 1 (pow (- (log 1.0) (log N)) 3))))))) (- (+ (/ (pow NAN 3) (pow N 2)) (+ (* 0.5 (/ NAN (pow N 2))) (+ (* 0.3333333333333333 (/ NAN (pow N 3))) (/ NAN N)))) (+ (* 2 (/ (pow NAN 5) (pow N 3))) (* 1.0 (/ (pow NAN 3) (pow N 3))))) (- (+ (/ (pow NAN 3) (pow N 2)) (* 0.5 (/ NAN (pow N 2)))) (+ (/ NAN N) (+ (* 0.3333333333333333 (/ NAN (pow N 3))) (+ (* 2 (/ (pow NAN 5) (pow N 3))) (* 1.0 (/ (pow NAN 3) (pow N 3))))))) 1.388 * * [simplify]: iteration 0 : 358 enodes (cost 915 ) 1.395 * * [simplify]: iteration 1 : 1476 enodes (cost 839 ) 1.422 * * [simplify]: iteration 2 : 5001 enodes (cost 790 ) 1.427 * [simplify]: Simplified to: (* 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))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (* 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))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) 1 1 2 1 1 (pow (sqrt (log (/ (+ N 1.0) N))) 4) (log (/ (+ N 1.0) N)) (pow (sqrt (log (/ (+ N 1.0) N))) 4) 2 (log (log (/ (+ N 1.0) N))) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (pow (log (/ (+ N 1.0) N)) 3) (* (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) (pow (sqrt (log (/ (+ N 1.0) N))) 4) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (pow (cbrt (sqrt (log (/ (+ N 1.0) N)))) 4) (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N))))) 1 (log (/ (+ N 1.0) N)) 1 (log (/ (+ N 1.0) N)) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) 1 (log (/ (+ N 1.0) N)) 1 (log (/ (+ N 1.0) N)) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) 1 (log (/ (+ N 1.0) N)) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) 1 2 1 (* (sqrt (log (/ (+ N 1.0) N))) (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N)))))) (sqrt (log (/ (+ N 1.0) N))) (* (fabs (cbrt (log (/ (+ N 1.0) N)))) (sqrt (log (/ (+ N 1.0) N)))) (pow (sqrt (sqrt (log (/ (+ N 1.0) N)))) 3) (sqrt (log (/ (+ N 1.0) N))) (pow (sqrt (sqrt (log (/ (+ N 1.0) N)))) 3) (sqrt (log (/ (+ N 1.0) N))) (pow (cbrt (sqrt (log (/ (+ N 1.0) N)))) 4) (log (/ (+ N 1.0) N)) (* (sqrt (cbrt (log (/ (+ N 1.0) N)))) (sqrt (log (/ (+ N 1.0) N)))) (pow (sqrt (sqrt (log (/ (+ N 1.0) N)))) 3) (log (/ (+ N 1.0) N)) (pow (sqrt (sqrt (log (/ (+ N 1.0) N)))) 3) (log (/ (+ N 1.0) N)) (log (sqrt (log (/ (+ N 1.0) N)))) (exp (sqrt (log (/ (+ N 1.0) N)))) (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N))))) (cbrt (sqrt (log (/ (+ N 1.0) N)))) (pow (sqrt (log (/ (+ N 1.0) N))) 3) 1 (sqrt (log (/ (+ N 1.0) N))) (fabs (cbrt (log (/ (+ N 1.0) N)))) (sqrt (cbrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N)))) 1 (sqrt (log (/ (+ N 1.0) N))) 1/2 (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (* 0.3333333333333333 (/ 1 (pow N 3))))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (* 0.3333333333333333 (/ 1 (pow N 3))))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (* 0.3333333333333333 (/ 1 (pow N 3))))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (* 0.3333333333333333 (/ 1 (pow N 3))))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (* 0.3333333333333333 (/ 1 (pow N 3))))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (* 0.3333333333333333 (/ 1 (pow N 3))))) (- (* (sqrt (/ 1 (- (log 1.0) (log N)))) (- (* 0.5 N) (* 1/4 (/ (pow N 2) (pow 1.0 2))))) (- (* 0.125 (* (pow N 2) (sqrt (/ 1 (pow (- (log 1.0) (log N)) 3))))) (sqrt (- (log 1.0) (log N))))) (+ (* (/ NAN (pow N 2)) (+ (/ 0.3333333333333333 N) 0.5)) (+ (/ NAN N) (- (/ (pow NAN 3) (pow N 2)) (+ (* 2 (/ (pow NAN 5) (pow N 3))) (* 1.0 (/ (pow NAN 3) (pow N 3))))))) (- (- (- (* (/ NAN N) (+ (/ 0.5 N) (/ (* NAN NAN) N))) (/ NAN N)) (+ (* 0.3333333333333333 (/ NAN (pow N 3))) (* 1.0 (/ (pow NAN 3) (pow N 3))))) (* 2 (/ (pow NAN 5) (pow N 3)))) 1.428 * * * [progress]: adding candidates to table 1.764 * * [progress]: iteration 4 / 4 1.764 * * * [progress]: picking best candidate 1.779 * * * * [pick]: Picked # 1.779 * * * [progress]: localizing error 1.790 * * * [progress]: generating rewritten candidates 1.790 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1) 1.794 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.798 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.801 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.806 * * * [progress]: generating series expansions 1.806 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1) 1.807 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.807 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.807 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.807 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.807 * [taylor]: Taking taylor expansion of N in N 1.807 * [taylor]: Taking taylor expansion of 1.0 in N 1.807 * [taylor]: Taking taylor expansion of N in N 1.808 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.808 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.808 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.808 * [taylor]: Taking taylor expansion of N in N 1.808 * [taylor]: Taking taylor expansion of 1.0 in N 1.808 * [taylor]: Taking taylor expansion of N in N 1.825 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.825 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.825 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.825 * [taylor]: Taking taylor expansion of N in N 1.825 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.825 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.825 * [taylor]: Taking taylor expansion of N in N 1.826 * [taylor]: Taking taylor expansion of 1.0 in N 1.828 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.828 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.828 * [taylor]: Taking taylor expansion of N in N 1.828 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.828 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.828 * [taylor]: Taking taylor expansion of N in N 1.828 * [taylor]: Taking taylor expansion of 1.0 in N 1.863 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.863 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.863 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.863 * [taylor]: Taking taylor expansion of -1 in N 1.863 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.863 * [taylor]: Taking taylor expansion of N in N 1.863 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.863 * [taylor]: Taking taylor expansion of 1.0 in N 1.863 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.863 * [taylor]: Taking taylor expansion of N in N 1.867 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.867 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.867 * [taylor]: Taking taylor expansion of -1 in N 1.867 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.867 * [taylor]: Taking taylor expansion of N in N 1.867 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.867 * [taylor]: Taking taylor expansion of 1.0 in N 1.867 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.867 * [taylor]: Taking taylor expansion of N in N 1.907 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.907 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.907 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.907 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.907 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.907 * [taylor]: Taking taylor expansion of N in N 1.907 * [taylor]: Taking taylor expansion of 1.0 in N 1.907 * [taylor]: Taking taylor expansion of N in N 1.908 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.908 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.908 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.908 * [taylor]: Taking taylor expansion of N in N 1.908 * [taylor]: Taking taylor expansion of 1.0 in N 1.908 * [taylor]: Taking taylor expansion of N in N 1.928 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.928 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.928 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.928 * [taylor]: Taking taylor expansion of N in N 1.928 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.928 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.929 * [taylor]: Taking taylor expansion of N in N 1.929 * [taylor]: Taking taylor expansion of 1.0 in N 1.931 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.931 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.931 * [taylor]: Taking taylor expansion of N in N 1.931 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.931 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.931 * [taylor]: Taking taylor expansion of N in N 1.932 * [taylor]: Taking taylor expansion of 1.0 in N 1.963 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.963 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.963 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.963 * [taylor]: Taking taylor expansion of -1 in N 1.963 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.963 * [taylor]: Taking taylor expansion of N in N 1.963 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.963 * [taylor]: Taking taylor expansion of 1.0 in N 1.963 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.963 * [taylor]: Taking taylor expansion of N in N 1.967 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.967 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.967 * [taylor]: Taking taylor expansion of -1 in N 1.967 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.968 * [taylor]: Taking taylor expansion of N in N 1.968 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.968 * [taylor]: Taking taylor expansion of 1.0 in N 1.968 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.968 * [taylor]: Taking taylor expansion of N in N 2.011 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.011 * [approximate]: Taking taylor expansion of (sqrt (log (/ (+ N 1.0) N))) in (N) around 0 2.011 * [taylor]: Taking taylor expansion of (sqrt (log (/ (+ N 1.0) N))) in N 2.011 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.011 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.011 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.011 * [taylor]: Taking taylor expansion of N in N 2.011 * [taylor]: Taking taylor expansion of 1.0 in N 2.011 * [taylor]: Taking taylor expansion of N in N 2.020 * [taylor]: Taking taylor expansion of (sqrt (log (/ (+ N 1.0) N))) in N 2.020 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.020 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.020 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.020 * [taylor]: Taking taylor expansion of N in N 2.020 * [taylor]: Taking taylor expansion of 1.0 in N 2.020 * [taylor]: Taking taylor expansion of N in N 2.046 * [approximate]: Taking taylor expansion of (sqrt (log (* N (+ (/ 1 N) 1.0)))) in (N) around 0 2.046 * [taylor]: Taking taylor expansion of (sqrt (log (* N (+ (/ 1 N) 1.0)))) in N 2.046 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.046 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.046 * [taylor]: Taking taylor expansion of N in N 2.046 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.046 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.046 * [taylor]: Taking taylor expansion of N in N 2.046 * [taylor]: Taking taylor expansion of 1.0 in N 2.057 * [taylor]: Taking taylor expansion of (sqrt (log (* N (+ (/ 1 N) 1.0)))) in N 2.057 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.057 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.058 * [taylor]: Taking taylor expansion of N in N 2.058 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.058 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.058 * [taylor]: Taking taylor expansion of N in N 2.058 * [taylor]: Taking taylor expansion of 1.0 in N 2.114 * [approximate]: Taking taylor expansion of (sqrt (log (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 2.114 * [taylor]: Taking taylor expansion of (sqrt (log (* -1 (* N (- 1.0 (/ 1 N)))))) in N 2.115 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.115 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.115 * [taylor]: Taking taylor expansion of -1 in N 2.115 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.115 * [taylor]: Taking taylor expansion of N in N 2.115 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.115 * [taylor]: Taking taylor expansion of 1.0 in N 2.115 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.115 * [taylor]: Taking taylor expansion of N in N 2.130 * [taylor]: Taking taylor expansion of (sqrt (log (* -1 (* N (- 1.0 (/ 1 N)))))) in N 2.130 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.130 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.130 * [taylor]: Taking taylor expansion of -1 in N 2.130 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.130 * [taylor]: Taking taylor expansion of N in N 2.130 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.131 * [taylor]: Taking taylor expansion of 1.0 in N 2.131 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.131 * [taylor]: Taking taylor expansion of N in N 2.196 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 2.196 * [approximate]: Taking taylor expansion of (exp (sqrt (log (/ (+ N 1.0) N)))) in (N) around 0 2.196 * [taylor]: Taking taylor expansion of (exp (sqrt (log (/ (+ N 1.0) N)))) in N 2.196 * [taylor]: Taking taylor expansion of (sqrt (log (/ (+ N 1.0) N))) in N 2.196 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.196 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.196 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.196 * [taylor]: Taking taylor expansion of N in N 2.196 * [taylor]: Taking taylor expansion of 1.0 in N 2.196 * [taylor]: Taking taylor expansion of N in N 2.205 * [taylor]: Taking taylor expansion of (exp (sqrt (log (/ (+ N 1.0) N)))) in N 2.205 * [taylor]: Taking taylor expansion of (sqrt (log (/ (+ N 1.0) N))) in N 2.205 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.205 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.205 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.205 * [taylor]: Taking taylor expansion of N in N 2.205 * [taylor]: Taking taylor expansion of 1.0 in N 2.205 * [taylor]: Taking taylor expansion of N in N 2.240 * [approximate]: Taking taylor expansion of (exp (sqrt (log (* N (+ (/ 1 N) 1.0))))) in (N) around 0 2.240 * [taylor]: Taking taylor expansion of (exp (sqrt (log (* N (+ (/ 1 N) 1.0))))) in N 2.240 * [taylor]: Taking taylor expansion of (sqrt (log (* N (+ (/ 1 N) 1.0)))) in N 2.240 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.240 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.240 * [taylor]: Taking taylor expansion of N in N 2.240 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.240 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.240 * [taylor]: Taking taylor expansion of N in N 2.241 * [taylor]: Taking taylor expansion of 1.0 in N 2.252 * [taylor]: Taking taylor expansion of (exp (sqrt (log (* N (+ (/ 1 N) 1.0))))) in N 2.252 * [taylor]: Taking taylor expansion of (sqrt (log (* N (+ (/ 1 N) 1.0)))) in N 2.252 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.252 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.252 * [taylor]: Taking taylor expansion of N in N 2.252 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.252 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.252 * [taylor]: Taking taylor expansion of N in N 2.252 * [taylor]: Taking taylor expansion of 1.0 in N 2.292 * [approximate]: Taking taylor expansion of (exp (sqrt (log (* -1 (* N (- 1.0 (/ 1 N))))))) in (N) around 0 2.292 * [taylor]: Taking taylor expansion of (exp (sqrt (log (* -1 (* N (- 1.0 (/ 1 N))))))) in N 2.292 * [taylor]: Taking taylor expansion of (sqrt (log (* -1 (* N (- 1.0 (/ 1 N)))))) in N 2.292 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.292 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.292 * [taylor]: Taking taylor expansion of -1 in N 2.292 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.292 * [taylor]: Taking taylor expansion of N in N 2.292 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.292 * [taylor]: Taking taylor expansion of 1.0 in N 2.292 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.292 * [taylor]: Taking taylor expansion of N in N 2.310 * [taylor]: Taking taylor expansion of (exp (sqrt (log (* -1 (* N (- 1.0 (/ 1 N))))))) in N 2.310 * [taylor]: Taking taylor expansion of (sqrt (log (* -1 (* N (- 1.0 (/ 1 N)))))) in N 2.310 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.310 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.310 * [taylor]: Taking taylor expansion of -1 in N 2.310 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.310 * [taylor]: Taking taylor expansion of N in N 2.310 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.310 * [taylor]: Taking taylor expansion of 1.0 in N 2.310 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.310 * [taylor]: Taking taylor expansion of N in N 2.357 * * * [progress]: simplifying candidates 2.359 * [simplify]: Simplifying using # : (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (log (* (cbrt (exp (sqrt (log (/ (+ N 1.0) N))))) (cbrt (exp (sqrt (log (/ (+ N 1.0) N))))))) (log (cbrt (exp (sqrt (log (/ (+ N 1.0) N)))))) (log (sqrt (exp (sqrt (log (/ (+ N 1.0) N)))))) (log (sqrt (exp (sqrt (log (/ (+ N 1.0) N)))))) (log 1) (log (exp (sqrt (log (/ (+ N 1.0) N))))) (log (exp (sqrt (log (/ (+ N 1.0) N))))) (log (exp (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N))))))) (log (exp (sqrt 1))) (log (exp (sqrt (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))))) (log (exp (sqrt (sqrt (log (/ (+ N 1.0) N)))))) (log (exp (sqrt 1))) (log (exp (sqrt (sqrt (log (/ (+ N 1.0) N)))))) (log (exp 1)) (log (log (exp (sqrt (log (/ (+ N 1.0) N)))))) (exp (log (exp (sqrt (log (/ (+ N 1.0) N)))))) (* (cbrt (log (exp (sqrt (log (/ (+ N 1.0) N)))))) (cbrt (log (exp (sqrt (log (/ (+ N 1.0) N))))))) (cbrt (log (exp (sqrt (log (/ (+ N 1.0) N)))))) (* (* (log (exp (sqrt (log (/ (+ N 1.0) N))))) (log (exp (sqrt (log (/ (+ N 1.0) N)))))) (log (exp (sqrt (log (/ (+ N 1.0) N)))))) (sqrt (log (exp (sqrt (log (/ (+ N 1.0) N)))))) (sqrt (log (exp (sqrt (log (/ (+ N 1.0) N)))))) (exp (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N)))))) (exp (sqrt 1)) (exp (sqrt (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))))) (exp (sqrt (sqrt (log (/ (+ N 1.0) N))))) (exp (sqrt 1)) (exp (sqrt (sqrt (log (/ (+ N 1.0) N))))) (exp 1) (log (exp (sqrt (log (/ (+ N 1.0) N))))) (exp (exp (sqrt (log (/ (+ N 1.0) N))))) (* (cbrt (exp (sqrt (log (/ (+ N 1.0) N))))) (cbrt (exp (sqrt (log (/ (+ N 1.0) N)))))) (cbrt (exp (sqrt (log (/ (+ N 1.0) N))))) (* (* (exp (sqrt (log (/ (+ N 1.0) N)))) (exp (sqrt (log (/ (+ N 1.0) N))))) (exp (sqrt (log (/ (+ N 1.0) N))))) (sqrt (exp (sqrt (log (/ (+ N 1.0) N))))) (sqrt (exp (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)))) (- (+ (* 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)))) (- (+ (sqrt (- (log 1.0) (log N))) (* 0.5 (* N (sqrt (/ 1 (- (log 1.0) (log N))))))) (+ (* 1/4 (* (/ (pow N 2) (pow 1.0 2)) (sqrt (/ 1 (- (log 1.0) (log N)))))) (* 0.125 (* (pow N 2) (sqrt (/ 1 (pow (- (log 1.0) (log N)) 3))))))) (- (+ (/ (pow NAN 3) (pow N 2)) (+ (* 0.5 (/ NAN (pow N 2))) (+ (* 0.3333333333333333 (/ NAN (pow N 3))) (/ NAN N)))) (+ (* 2 (/ (pow NAN 5) (pow N 3))) (* 1.0 (/ (pow NAN 3) (pow N 3))))) (- (+ (/ (pow NAN 3) (pow N 2)) (* 0.5 (/ NAN (pow N 2)))) (+ (/ NAN N) (+ (* 0.3333333333333333 (/ NAN (pow N 3))) (+ (* 2 (/ (pow NAN 5) (pow N 3))) (* 1.0 (/ (pow NAN 3) (pow N 3))))))) (- (+ (* 0.5 (* (* N (exp (sqrt (- (log 1.0) (log N))))) (sqrt (/ 1 (- (log 1.0) (log N)))))) (+ (* 0.125 (/ (* (pow N 2) (exp (sqrt (- (log 1.0) (log N))))) (- (log 1.0) (log N)))) (exp (sqrt (- (log 1.0) (log N)))))) (+ (* 1/4 (* (/ (* (pow N 2) (exp (sqrt (- (log 1.0) (log N))))) (pow 1.0 2)) (sqrt (/ 1 (- (log 1.0) (log N)))))) (* 0.125 (* (* (pow N 2) (exp (sqrt (- (log 1.0) (log N))))) (sqrt (/ 1 (pow (- (log 1.0) (log N)) 3))))))) (+ (/ (pow NAN 3) (pow N 2)) (+ 1 (+ (* 0.5 (/ NAN (pow N 2))) (+ (/ NAN N) (* 1/2 (/ (pow NAN 2) (pow N 2))))))) (- (+ (/ (pow NAN 3) (pow N 2)) (+ 1 (+ (* 0.5 (/ NAN (pow N 2))) (* 1/2 (/ (pow NAN 2) (pow N 2)))))) (/ NAN N)) 2.365 * * [simplify]: iteration 0 : 411 enodes (cost 816 ) 2.371 * * [simplify]: iteration 1 : 1318 enodes (cost 760 ) 2.392 * * [simplify]: iteration 2 : 5001 enodes (cost 716 ) 2.396 * [simplify]: Simplified to: (* 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))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (* 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))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (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) 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NAN N)) (* (/ (pow NAN 2) N) (+ (/ 1/2 N) (/ NAN N)))) (- (+ (* 0.5 (/ NAN (pow N 2))) (+ 1 (* (/ (pow NAN 2) N) (+ (/ 1/2 N) (/ NAN N))))) (/ NAN N)) 2.397 * * * [progress]: adding candidates to table 2.929 * [progress]: [Phase 3 of 3] Extracting. 2.929 * * [regime]: Finding splitpoints for: (# # # # #) 2.930 * * * [regime-changes]: Trying 1 branch expressions: (N) 2.930 * * * * [regimes]: Trying to branch on N from (# # # # #) 2.974 * * * [regime]: Found split indices: #