15.383 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.074 * * * [progress]: [2/2] Setting up program. 0.076 * [progress]: [Phase 2 of 3] Improving. 0.076 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.078 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.079 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.080 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.080 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.080 * * [progress]: iteration 1 / 4 0.080 * * * [progress]: picking best candidate 0.083 * * * * [pick]: Picked # 0.083 * * * [progress]: localizing error 0.089 * * * [progress]: generating rewritten candidates 0.089 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.095 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.099 * * * [progress]: generating series expansions 0.099 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.100 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.100 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.100 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.100 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.100 * [taylor]: Taking taylor expansion of N in N 0.100 * [taylor]: Taking taylor expansion of 1.0 in N 0.100 * [taylor]: Taking taylor expansion of (log N) in N 0.100 * [taylor]: Taking taylor expansion of N in N 0.100 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.100 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.100 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.100 * [taylor]: Taking taylor expansion of N in N 0.100 * [taylor]: Taking taylor expansion of 1.0 in N 0.100 * [taylor]: Taking taylor expansion of (log N) in N 0.100 * [taylor]: Taking taylor expansion of N in N 0.102 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.102 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.102 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.102 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.102 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.102 * [taylor]: Taking taylor expansion of N in N 0.102 * [taylor]: Taking taylor expansion of 1.0 in N 0.102 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.102 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.102 * [taylor]: Taking taylor expansion of N in N 0.102 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.102 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.102 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.102 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.102 * [taylor]: Taking taylor expansion of N in N 0.102 * [taylor]: Taking taylor expansion of 1.0 in N 0.102 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.102 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.102 * [taylor]: Taking taylor expansion of N in N 0.104 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.104 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 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 0.104 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.105 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.105 * [taylor]: Taking taylor expansion of -1 in N 0.105 * [taylor]: Taking taylor expansion of N in N 0.105 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.105 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.105 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.105 * [taylor]: Taking taylor expansion of 1.0 in N 0.105 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.105 * [taylor]: Taking taylor expansion of N in N 0.105 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.105 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.105 * [taylor]: Taking taylor expansion of -1 in N 0.105 * [taylor]: Taking taylor expansion of N in N 0.106 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.106 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.106 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.106 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.106 * [taylor]: Taking taylor expansion of N in N 0.106 * [taylor]: Taking taylor expansion of 1.0 in N 0.106 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.106 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.106 * [taylor]: Taking taylor expansion of N in N 0.106 * [taylor]: Taking taylor expansion of 1.0 in N 0.107 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.107 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.107 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.107 * [taylor]: Taking taylor expansion of N in N 0.107 * [taylor]: Taking taylor expansion of 1.0 in N 0.107 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.107 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.107 * [taylor]: Taking taylor expansion of N in N 0.107 * [taylor]: Taking taylor expansion of 1.0 in N 0.108 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.108 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.108 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.108 * [taylor]: Taking taylor expansion of 1.0 in N 0.108 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.108 * [taylor]: Taking taylor expansion of N in N 0.108 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.108 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.108 * [taylor]: Taking taylor expansion of 1.0 in N 0.108 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.108 * [taylor]: Taking taylor expansion of N in N 0.109 * * * [progress]: simplifying candidates 0.109 * [simplify]: Simplifying using # : (/ (+ 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)) (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))) (- (+ (* 1.0 N) (log 1.0)) (+ (log 1) (+ (* 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)))) (- (+ (* 1.0 (/ 1 N)) (log (neg 1))) (+ (* 0.5 (/ 1 (pow N 2))) (log -1))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log (neg 1))) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.113 * * [simplify]: iteration 0 : 232 enodes (cost 285 ) 0.116 * * [simplify]: iteration 1 : 628 enodes (cost 264 ) 0.126 * * [simplify]: iteration 2 : 2171 enodes (cost 244 ) 0.163 * * [simplify]: iteration 3 : 5001 enodes (cost 244 ) 0.165 * [simplify]: Simplified to: (/ (+ 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)) (* 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))) (- (+ (* 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 N) (- 1.0 (/ 0.5 N))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (+ (/ 1.0 N) (log N)) (/ (/ 0.5 N) N)) (- (+ (/ 1.0 N) (log N)) (/ (/ 0.5 N) N)) 0.165 * * * [progress]: adding candidates to table 0.249 * * [progress]: iteration 2 / 4 0.249 * * * [progress]: picking best candidate 0.253 * * * * [pick]: Picked # 0.254 * * * [progress]: localizing error 0.258 * * * [progress]: generating rewritten candidates 0.258 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.262 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.269 * * * [progress]: generating series expansions 0.269 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.269 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.270 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.270 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.270 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.270 * [taylor]: Taking taylor expansion of N in N 0.270 * [taylor]: Taking taylor expansion of 1.0 in N 0.270 * [taylor]: Taking taylor expansion of N in N 0.270 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.270 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.270 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.270 * [taylor]: Taking taylor expansion of N in N 0.270 * [taylor]: Taking taylor expansion of 1.0 in N 0.270 * [taylor]: Taking taylor expansion of N in N 0.271 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.271 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.271 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.271 * [taylor]: Taking taylor expansion of N in N 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.271 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.271 * [taylor]: Taking taylor expansion of N in N 0.271 * [taylor]: Taking taylor expansion of 1.0 in N 0.271 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.271 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.271 * [taylor]: Taking taylor expansion of N in N 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.271 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.271 * [taylor]: Taking taylor expansion of N in N 0.271 * [taylor]: Taking taylor expansion of 1.0 in N 0.272 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.272 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.272 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.272 * [taylor]: Taking taylor expansion of -1 in N 0.272 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.272 * [taylor]: Taking taylor expansion of N in N 0.272 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.272 * [taylor]: Taking taylor expansion of 1.0 in N 0.272 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.272 * [taylor]: Taking taylor expansion of N in N 0.272 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.272 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.272 * [taylor]: Taking taylor expansion of -1 in N 0.272 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.272 * [taylor]: Taking taylor expansion of N in N 0.272 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.272 * [taylor]: Taking taylor expansion of 1.0 in N 0.272 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.272 * [taylor]: Taking taylor expansion of N in N 0.273 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.273 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.273 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.273 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.273 * [taylor]: Taking taylor expansion of N in N 0.273 * [taylor]: Taking taylor expansion of 1.0 in N 0.273 * [taylor]: Taking taylor expansion of N in N 0.273 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.273 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.273 * [taylor]: Taking taylor expansion of N in N 0.273 * [taylor]: Taking taylor expansion of 1.0 in N 0.273 * [taylor]: Taking taylor expansion of N in N 0.274 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.274 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.274 * [taylor]: Taking taylor expansion of N in N 0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.274 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.274 * [taylor]: Taking taylor expansion of N in N 0.274 * [taylor]: Taking taylor expansion of 1.0 in N 0.274 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.274 * [taylor]: Taking taylor expansion of N in N 0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.274 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.274 * [taylor]: Taking taylor expansion of N in N 0.274 * [taylor]: Taking taylor expansion of 1.0 in N 0.276 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.276 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.276 * [taylor]: Taking taylor expansion of -1 in N 0.276 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.276 * [taylor]: Taking taylor expansion of N in N 0.276 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.276 * [taylor]: Taking taylor expansion of 1.0 in N 0.276 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.276 * [taylor]: Taking taylor expansion of N in N 0.276 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.276 * [taylor]: Taking taylor expansion of -1 in N 0.276 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.276 * [taylor]: Taking taylor expansion of N in N 0.276 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.276 * [taylor]: Taking taylor expansion of 1.0 in N 0.276 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.276 * [taylor]: Taking taylor expansion of N in N 0.277 * * * [progress]: simplifying candidates 0.278 * [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))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.282 * * [simplify]: iteration 0 : 221 enodes (cost 370 ) 0.286 * * [simplify]: iteration 1 : 736 enodes (cost 343 ) 0.298 * * [simplify]: iteration 2 : 3220 enodes (cost 333 ) 0.366 * * [simplify]: iteration 3 : 5002 enodes (cost 333 ) 0.369 * [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 N) (- 1.0 (/ 0.5 N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.369 * * * [progress]: adding candidates to table 0.440 * * [progress]: iteration 3 / 4 0.440 * * * [progress]: picking best candidate 0.447 * * * * [pick]: Picked # 0.447 * * * [progress]: localizing error 0.455 * * * [progress]: generating rewritten candidates 0.455 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.460 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 0.464 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.468 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.479 * * * [progress]: generating series expansions 0.479 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.479 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.479 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.479 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.479 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.479 * [taylor]: Taking taylor expansion of N in N 0.479 * [taylor]: Taking taylor expansion of 1.0 in N 0.479 * [taylor]: Taking taylor expansion of N in N 0.479 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.479 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.479 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.479 * [taylor]: Taking taylor expansion of N in N 0.479 * [taylor]: Taking taylor expansion of 1.0 in N 0.479 * [taylor]: Taking taylor expansion of N in N 0.480 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.480 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.480 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.480 * [taylor]: Taking taylor expansion of N in N 0.480 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.480 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.480 * [taylor]: Taking taylor expansion of N in N 0.480 * [taylor]: Taking taylor expansion of 1.0 in N 0.480 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.480 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.480 * [taylor]: Taking taylor expansion of N in N 0.480 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.480 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.480 * [taylor]: Taking taylor expansion of N in N 0.481 * [taylor]: Taking taylor expansion of 1.0 in N 0.481 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.481 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.481 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.481 * [taylor]: Taking taylor expansion of -1 in N 0.481 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.481 * [taylor]: Taking taylor expansion of N in N 0.481 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.481 * [taylor]: Taking taylor expansion of 1.0 in N 0.481 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.481 * [taylor]: Taking taylor expansion of N in N 0.482 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.482 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.482 * [taylor]: Taking taylor expansion of -1 in N 0.482 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.482 * [taylor]: Taking taylor expansion of N in N 0.482 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.482 * [taylor]: Taking taylor expansion of 1.0 in N 0.482 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.482 * [taylor]: Taking taylor expansion of N in N 0.483 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 0.483 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.483 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.483 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.483 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.483 * [taylor]: Taking taylor expansion of N in N 0.483 * [taylor]: Taking taylor expansion of 1.0 in N 0.483 * [taylor]: Taking taylor expansion of N in N 0.483 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.483 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.483 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.483 * [taylor]: Taking taylor expansion of N in N 0.483 * [taylor]: Taking taylor expansion of 1.0 in N 0.483 * [taylor]: Taking taylor expansion of N in N 0.484 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.484 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.484 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.484 * [taylor]: Taking taylor expansion of N in N 0.484 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.484 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.484 * [taylor]: Taking taylor expansion of N in N 0.484 * [taylor]: Taking taylor expansion of 1.0 in N 0.484 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.484 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.484 * [taylor]: Taking taylor expansion of N in N 0.484 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.484 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.484 * [taylor]: Taking taylor expansion of N in N 0.484 * [taylor]: Taking taylor expansion of 1.0 in N 0.485 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.485 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.485 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.485 * [taylor]: Taking taylor expansion of -1 in N 0.485 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.485 * [taylor]: Taking taylor expansion of N in N 0.485 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.485 * [taylor]: Taking taylor expansion of 1.0 in N 0.485 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.485 * [taylor]: Taking taylor expansion of N in N 0.485 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.485 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.485 * [taylor]: Taking taylor expansion of -1 in N 0.485 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.485 * [taylor]: Taking taylor expansion of N in N 0.485 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.485 * [taylor]: Taking taylor expansion of 1.0 in N 0.485 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.485 * [taylor]: Taking taylor expansion of N in N 0.486 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.486 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.486 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.486 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.486 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.486 * [taylor]: Taking taylor expansion of N in N 0.486 * [taylor]: Taking taylor expansion of 1.0 in N 0.486 * [taylor]: Taking taylor expansion of N in N 0.486 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.486 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.486 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.486 * [taylor]: Taking taylor expansion of N in N 0.487 * [taylor]: Taking taylor expansion of 1.0 in N 0.487 * [taylor]: Taking taylor expansion of N in N 0.487 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.487 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.487 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.487 * [taylor]: Taking taylor expansion of N in N 0.487 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.487 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.487 * [taylor]: Taking taylor expansion of N in N 0.488 * [taylor]: Taking taylor expansion of 1.0 in N 0.488 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.488 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.488 * [taylor]: Taking taylor expansion of N in N 0.488 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.488 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.488 * [taylor]: Taking taylor expansion of N in N 0.488 * [taylor]: Taking taylor expansion of 1.0 in N 0.488 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.489 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.489 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.489 * [taylor]: Taking taylor expansion of -1 in N 0.489 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.489 * [taylor]: Taking taylor expansion of N in N 0.489 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.489 * [taylor]: Taking taylor expansion of 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 (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.489 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.489 * [taylor]: Taking taylor expansion of -1 in N 0.489 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.489 * [taylor]: Taking taylor expansion of N in N 0.489 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.489 * [taylor]: Taking taylor expansion of 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 0.490 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.490 * [approximate]: Taking taylor expansion of (pow (pow (log (/ (+ N 1.0) N)) 2) 1/3) in (N) around 0 0.490 * [taylor]: Taking taylor expansion of (pow (pow (log (/ (+ N 1.0) N)) 2) 1/3) in N 0.490 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (/ (+ N 1.0) N)) 2)))) in N 0.490 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (/ (+ N 1.0) N)) 2))) in N 0.490 * [taylor]: Taking taylor expansion of 1/3 in N 0.490 * [taylor]: Taking taylor expansion of (log (pow (log (/ (+ N 1.0) N)) 2)) in N 0.490 * [taylor]: Taking taylor expansion of (pow (log (/ (+ N 1.0) N)) 2) in N 0.490 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.490 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.490 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.490 * [taylor]: Taking taylor expansion of N in N 0.490 * [taylor]: Taking taylor expansion of 1.0 in N 0.490 * [taylor]: Taking taylor expansion of N in N 0.491 * [taylor]: Taking taylor expansion of (pow (pow (log (/ (+ N 1.0) N)) 2) 1/3) in N 0.491 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (/ (+ N 1.0) N)) 2)))) in N 0.491 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (/ (+ N 1.0) N)) 2))) in N 0.491 * [taylor]: Taking taylor expansion of 1/3 in N 0.491 * [taylor]: Taking taylor expansion of (log (pow (log (/ (+ N 1.0) N)) 2)) in N 0.491 * [taylor]: Taking taylor expansion of (pow (log (/ (+ N 1.0) N)) 2) in N 0.491 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.491 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.491 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.491 * [taylor]: Taking taylor expansion of N in N 0.491 * [taylor]: Taking taylor expansion of 1.0 in N 0.491 * [taylor]: Taking taylor expansion of N in N 0.502 * [approximate]: Taking taylor expansion of (pow (pow (log (* N (+ (/ 1 N) 1.0))) 2) 1/3) in (N) around 0 0.502 * [taylor]: Taking taylor expansion of (pow (pow (log (* N (+ (/ 1 N) 1.0))) 2) 1/3) in N 0.502 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (* N (+ (/ 1 N) 1.0))) 2)))) in N 0.502 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (* N (+ (/ 1 N) 1.0))) 2))) in N 0.502 * [taylor]: Taking taylor expansion of 1/3 in N 0.502 * [taylor]: Taking taylor expansion of (log (pow (log (* N (+ (/ 1 N) 1.0))) 2)) in N 0.502 * [taylor]: Taking taylor expansion of (pow (log (* N (+ (/ 1 N) 1.0))) 2) in N 0.502 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.502 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.502 * [taylor]: Taking taylor expansion of N in N 0.502 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.502 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.502 * [taylor]: Taking taylor expansion of N in N 0.502 * [taylor]: Taking taylor expansion of 1.0 in N 0.502 * [taylor]: Taking taylor expansion of (pow (pow (log (* N (+ (/ 1 N) 1.0))) 2) 1/3) in N 0.502 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (* N (+ (/ 1 N) 1.0))) 2)))) in N 0.502 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (* N (+ (/ 1 N) 1.0))) 2))) in N 0.502 * [taylor]: Taking taylor expansion of 1/3 in N 0.502 * [taylor]: Taking taylor expansion of (log (pow (log (* N (+ (/ 1 N) 1.0))) 2)) in N 0.502 * [taylor]: Taking taylor expansion of (pow (log (* N (+ (/ 1 N) 1.0))) 2) in N 0.502 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.503 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.503 * [taylor]: Taking taylor expansion of N in N 0.503 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.503 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.503 * [taylor]: Taking taylor expansion of N in N 0.503 * [taylor]: Taking taylor expansion of 1.0 in N 0.506 * [approximate]: Taking taylor expansion of (pow (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 2) 1/3) in (N) around 0 0.506 * [taylor]: Taking taylor expansion of (pow (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 2) 1/3) in N 0.506 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 2)))) in N 0.506 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 2))) in N 0.506 * [taylor]: Taking taylor expansion of 1/3 in N 0.506 * [taylor]: Taking taylor expansion of (log (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 2)) in N 0.506 * [taylor]: Taking taylor expansion of (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 2) in N 0.506 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.506 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.506 * [taylor]: Taking taylor expansion of -1 in N 0.506 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.506 * [taylor]: Taking taylor expansion of N in N 0.506 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.506 * [taylor]: Taking taylor expansion of 1.0 in N 0.506 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.506 * [taylor]: Taking taylor expansion of N in N 0.506 * [taylor]: Taking taylor expansion of (pow (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 2) 1/3) in N 0.507 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 2)))) in N 0.507 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 2))) in N 0.507 * [taylor]: Taking taylor expansion of 1/3 in N 0.507 * [taylor]: Taking taylor expansion of (log (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 2)) in N 0.507 * [taylor]: Taking taylor expansion of (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 2) in N 0.507 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.507 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.507 * [taylor]: Taking taylor expansion of -1 in N 0.507 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.507 * [taylor]: Taking taylor expansion of N in N 0.507 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.507 * [taylor]: Taking taylor expansion of 1.0 in N 0.507 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.507 * [taylor]: Taking taylor expansion of N in N 0.510 * * * [progress]: simplifying candidates 0.512 * [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 (/ (+ 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))) (+ 1/3 1/3) (+ 1 1) (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (+ 1 1) (+ (log (cbrt (log (/ (+ N 1.0) N)))) (log (cbrt (log (/ (+ N 1.0) N))))) (log (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))) (exp (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))) (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (* (cbrt (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))) (cbrt (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))))) (cbrt (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))) (* (* (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))) (* (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))) (cbrt (log (/ (+ N 1.0) N))))) (* (cbrt 1) (cbrt 1)) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (* (cbrt (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))) (cbrt (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))))) (* (cbrt (cbrt (log (/ (+ N 1.0) N)))) (cbrt (cbrt (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 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(sqrt (log (/ (+ N 1.0) N))))) (* (sqrt (cbrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N))))) (* (sqrt (cbrt (log (/ (+ N 1.0) N)))) (sqrt (cbrt (log (/ (+ N 1.0) N))))) (* (sqrt (cbrt (log (/ (+ N 1.0) N)))) (sqrt (cbrt (log (/ (+ N 1.0) N))))) (* 2 1/3) (* 2 1) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt 1)) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (sqrt (log (/ (+ N 1.0) N))))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt 1)) (* (cbrt (log (/ (+ N 1.0) N))) (* (cbrt (cbrt (log (/ (+ N 1.0) N)))) (cbrt (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))) 1) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (* (cbrt (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N)))) (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N)))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (* (cbrt (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)))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (* (pow N 2) (pow (/ 1 (pow (- (log 1.0) (log N)) 4)) 1/3))) (+ (* 0.8888888888888888 (* (* (pow N 2) (* (log 1.0) (log N))) (pow (/ 1 (pow (- (log 1.0) (log N)) 10)) 1/3))) (+ (* 1/3 (* (/ (* (pow N 2) (log 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(/ 1 (pow N 2)))) (* 0.3333333333333333 (* (pow (/ 1 (log 1)) 1/3) (/ 1 (pow N 2)))))) 0.519 * * [simplify]: iteration 0 : 430 enodes (cost 1250 ) 0.527 * * [simplify]: iteration 1 : 1657 enodes (cost 1137 ) 0.557 * * [simplify]: iteration 2 : 5002 enodes (cost 1002 ) 0.564 * [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)) 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1.0) N))) (cbrt (log (/ (+ N 1.0) N))) 1 (pow (sqrt (cbrt (log (/ (+ N 1.0) N)))) 4) (* (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 (cbrt (log (/ (+ N 1.0) N))))) (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (cbrt (log (/ (+ N 1.0) N))))) (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (cbrt (log (/ (+ N 1.0) N))))) (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (cbrt (log (/ (+ N 1.0) N))))) (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))) 2/3 2 (cbrt (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (sqrt (log (/ (+ N 1.0) N))))) (cbrt (log (/ (+ N 1.0) N))) (* (pow (cbrt (cbrt (log (/ (+ N 1.0) N)))) 4) (cbrt (cbrt (log (/ (+ N 1.0) N))))) (pow (sqrt (cbrt (log (/ (+ N 1.0) N)))) 3) (cbrt (log (/ (+ N 1.0) N))) (pow (sqrt (cbrt (log (/ (+ N 1.0) N)))) 4) (pow (cbrt (cbrt (log (/ (+ N 1.0) N)))) 4) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (sqrt (log (/ (+ N 1.0) N))))) (pow (sqrt (cbrt (log (/ (+ N 1.0) N)))) 4) (pow (cbrt (cbrt (log (/ (+ N 1.0) N)))) 4) (pow (sqrt (cbrt (log (/ (+ N 1.0) N)))) 3) (pow (sqrt (cbrt (log (/ (+ N 1.0) N)))) 4) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (- (- (+ (+ (* (pow N 2) (+ (* (* (* (log 1.0) (log N)) (pow (/ 1 (pow (- (log 1.0) (log N)) 10)) 1/3)) 0.8888888888888888) (* (pow (/ 1 (pow (- (log 1.0) (log N)) 4)) 1/3) 0.3333333333333333))) (* (pow (/ 1 (pow (- (log 1.0) (log N)) 4)) 1/3) (+ (* 1/3 (/ (* (pow N 2) (log N)) (pow 1.0 2))) (* 0.6666666666666666 (* N (log 1.0)))))) (pow (pow (- (log 1.0) (log N)) 2) 1/3)) (* (pow (/ 1 (pow (- (log 1.0) (log N)) 4)) 1/3) (+ (* 1/3 (/ (* (pow N 2) (log 1.0)) (pow 1.0 2))) (* 0.6666666666666666 (* N (log N)))))) (* (* 0.4444444444444444 (pow (/ 1 (pow (- (log 1.0) (log N)) 10)) 1/3)) (+ (* (pow N 2) (pow (log 1.0) 2)) (* (pow N 2) (pow (log N) 2))))) (- (/ (* 0.6666666666666666 (pow (/ 1 (log 1)) 1/3)) N) (- (* (/ (pow (/ 1 (log 1)) 1/3) (pow N 2)) (+ 0.3333333333333333 0.1111111111111111)) (pow 0 1/3))) (- (/ (* 0.6666666666666666 (pow (/ 1 (log 1)) 1/3)) N) (- (* (/ (pow (/ 1 (log 1)) 1/3) (pow N 2)) (+ 0.3333333333333333 0.1111111111111111)) (pow 0 1/3))) 0.565 * * * [progress]: adding candidates to table 0.850 * * [progress]: iteration 4 / 4 0.850 * * * [progress]: picking best candidate 0.858 * * * * [pick]: Picked # 0.858 * * * [progress]: localizing error 0.874 * * * [progress]: generating rewritten candidates 0.874 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.878 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1 1) 0.883 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 0.887 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.894 * * * [progress]: generating series expansions 0.895 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.895 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.895 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.895 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.895 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.895 * [taylor]: Taking taylor expansion of N in N 0.895 * [taylor]: Taking taylor expansion of 1.0 in N 0.895 * [taylor]: Taking taylor expansion of N in N 0.895 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.895 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.895 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.895 * [taylor]: Taking taylor expansion of N in N 0.895 * [taylor]: Taking taylor expansion of 1.0 in N 0.895 * [taylor]: Taking taylor expansion of N in N 0.896 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.896 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.896 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.896 * [taylor]: Taking taylor expansion of N in N 0.896 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.896 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.896 * [taylor]: Taking taylor expansion of N in N 0.896 * [taylor]: Taking taylor expansion of 1.0 in N 0.896 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.896 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.896 * [taylor]: Taking taylor expansion of N in N 0.896 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.896 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.896 * [taylor]: Taking taylor expansion of N in N 0.896 * [taylor]: Taking taylor expansion of 1.0 in N 0.897 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.897 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.897 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.897 * [taylor]: Taking taylor expansion of -1 in N 0.897 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.897 * [taylor]: Taking taylor expansion of N in N 0.897 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.897 * [taylor]: Taking taylor expansion of 1.0 in N 0.897 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.897 * [taylor]: Taking taylor expansion of N in N 0.897 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.897 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.897 * [taylor]: Taking taylor expansion of -1 in N 0.897 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.897 * [taylor]: Taking taylor expansion of N in N 0.897 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.897 * [taylor]: Taking taylor expansion of 1.0 in N 0.897 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.897 * [taylor]: Taking taylor expansion of N in N 0.898 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1 1) 0.898 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.898 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.898 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.898 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.898 * [taylor]: Taking taylor expansion of N in N 0.898 * [taylor]: Taking taylor expansion of 1.0 in N 0.898 * [taylor]: Taking taylor expansion of N in N 0.898 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.899 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.899 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.899 * [taylor]: Taking taylor expansion of N in N 0.899 * [taylor]: Taking taylor expansion of 1.0 in N 0.899 * [taylor]: Taking taylor expansion of N in N 0.899 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.899 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.899 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.899 * [taylor]: Taking taylor expansion of N in N 0.899 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.899 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.899 * [taylor]: Taking taylor expansion of N in N 0.900 * [taylor]: Taking taylor expansion of 1.0 in N 0.900 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.900 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.900 * [taylor]: Taking taylor expansion of N in N 0.900 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.900 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.900 * [taylor]: Taking taylor expansion of N in N 0.900 * [taylor]: Taking taylor expansion of 1.0 in N 0.900 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.901 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.901 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.901 * [taylor]: Taking taylor expansion of -1 in N 0.901 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.901 * [taylor]: Taking taylor expansion of N in N 0.901 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.901 * [taylor]: Taking taylor expansion of 1.0 in N 0.901 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.901 * [taylor]: Taking taylor expansion of N in N 0.901 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.901 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.901 * [taylor]: Taking taylor expansion of -1 in N 0.901 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.901 * [taylor]: Taking taylor expansion of N in N 0.901 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.901 * [taylor]: Taking taylor expansion of 1.0 in N 0.901 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.901 * [taylor]: Taking taylor expansion of N in N 0.902 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 0.902 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.902 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.902 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.902 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.902 * [taylor]: Taking taylor expansion of N in N 0.902 * [taylor]: Taking taylor expansion of 1.0 in N 0.902 * [taylor]: Taking taylor expansion of N in N 0.902 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.902 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.902 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.902 * [taylor]: Taking taylor expansion of N in N 0.902 * [taylor]: Taking taylor expansion of 1.0 in N 0.902 * [taylor]: Taking taylor expansion of N in N 0.903 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.903 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.903 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.903 * [taylor]: Taking taylor expansion of N in N 0.903 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.903 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.903 * [taylor]: Taking taylor expansion of N in N 0.903 * [taylor]: Taking taylor expansion of 1.0 in N 0.903 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.903 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.903 * [taylor]: Taking taylor expansion of N in N 0.903 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.903 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.903 * [taylor]: Taking taylor expansion of N in N 0.903 * [taylor]: Taking taylor expansion of 1.0 in N 0.904 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.904 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.904 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.904 * [taylor]: Taking taylor expansion of -1 in N 0.904 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.904 * [taylor]: Taking taylor expansion of N in N 0.904 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.904 * [taylor]: Taking taylor expansion of 1.0 in N 0.904 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.904 * [taylor]: Taking taylor expansion of N in N 0.904 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.904 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.904 * [taylor]: Taking taylor expansion of -1 in N 0.904 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.904 * [taylor]: Taking taylor expansion of N in N 0.904 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.904 * [taylor]: Taking taylor expansion of 1.0 in N 0.904 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.904 * [taylor]: Taking taylor expansion of N in N 0.905 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.905 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.905 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.905 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.905 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.905 * [taylor]: Taking taylor expansion of N in N 0.905 * [taylor]: Taking taylor expansion of 1.0 in N 0.905 * [taylor]: Taking taylor expansion of N in N 0.906 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.906 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.906 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.906 * [taylor]: Taking taylor expansion of N in N 0.906 * [taylor]: Taking taylor expansion of 1.0 in N 0.906 * [taylor]: Taking taylor expansion of N in N 0.906 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.906 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.906 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.906 * [taylor]: Taking taylor expansion of N in N 0.907 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.907 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.907 * [taylor]: Taking taylor expansion of N in N 0.907 * [taylor]: Taking taylor expansion of 1.0 in N 0.907 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.907 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.907 * [taylor]: Taking taylor expansion of N in N 0.907 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.907 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.907 * [taylor]: Taking taylor expansion of N in N 0.907 * [taylor]: Taking taylor expansion of 1.0 in N 0.908 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.908 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.908 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.908 * [taylor]: Taking taylor expansion of -1 in N 0.908 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.908 * [taylor]: Taking taylor expansion of N in N 0.908 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.908 * [taylor]: Taking taylor expansion of 1.0 in N 0.908 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.908 * [taylor]: Taking taylor expansion of N in N 0.908 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.908 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.908 * [taylor]: Taking taylor expansion of -1 in N 0.908 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.908 * [taylor]: Taking taylor expansion of N in N 0.908 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.908 * [taylor]: Taking taylor expansion of 1.0 in N 0.908 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.908 * [taylor]: Taking taylor expansion of N in N 0.909 * * * [progress]: simplifying candidates 0.910 * [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 (/ (+ 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))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) 0.915 * * [simplify]: iteration 0 : 154 enodes (cost 820 ) 0.918 * * [simplify]: iteration 1 : 416 enodes (cost 752 ) 0.925 * * [simplify]: iteration 2 : 1717 enodes (cost 712 ) 0.960 * * [simplify]: iteration 3 : 5001 enodes (cost 712 ) 0.965 * [simplify]: Simplified to: (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log 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1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) 0.966 * * * [progress]: adding candidates to table 1.329 * [progress]: [Phase 3 of 3] Extracting. 1.330 * * [regime]: Finding splitpoints for: (# # #) 1.330 * * * [regime-changes]: Trying 1 branch expressions: (N) 1.330 * * * * [regimes]: Trying to branch on N from (# # #) 1.362 * * * [regime]: Found split indices: #