15.708 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.043 * * * [progress]: [2/2] Setting up program. 0.045 * [progress]: [Phase 2 of 3] Improving. 0.045 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.047 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.049 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.050 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.050 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.050 * * [progress]: iteration 1 / 4 0.050 * * * [progress]: picking best candidate 0.055 * * * * [pick]: Picked # 0.055 * * * [progress]: localizing error 0.062 * * * [progress]: generating rewritten candidates 0.062 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.069 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.073 * * * [progress]: generating series expansions 0.073 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.073 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.073 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.074 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.074 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.074 * [taylor]: Taking taylor expansion of N in N 0.074 * [taylor]: Taking taylor expansion of 1.0 in N 0.075 * [taylor]: Taking taylor expansion of (log N) in N 0.075 * [taylor]: Taking taylor expansion of N in N 0.075 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.075 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.075 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.075 * [taylor]: Taking taylor expansion of N in N 0.075 * [taylor]: Taking taylor expansion of 1.0 in N 0.076 * [taylor]: Taking taylor expansion of (log N) in N 0.076 * [taylor]: Taking taylor expansion of N in N 0.095 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.096 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.096 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.096 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.096 * [taylor]: Taking taylor expansion of N in N 0.096 * [taylor]: Taking taylor expansion of 1.0 in N 0.097 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.097 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.097 * [taylor]: Taking taylor expansion of N in N 0.097 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.097 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.097 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.097 * [taylor]: Taking taylor expansion of N in N 0.098 * [taylor]: Taking taylor expansion of 1.0 in N 0.098 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.098 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.098 * [taylor]: Taking taylor expansion of N in N 0.130 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.130 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.130 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.130 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.130 * [taylor]: Taking taylor expansion of 1.0 in N 0.130 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.130 * [taylor]: Taking taylor expansion of N in N 0.131 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.131 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.131 * [taylor]: Taking taylor expansion of -1 in N 0.131 * [taylor]: Taking taylor expansion of N in N 0.131 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.131 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.132 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.132 * [taylor]: Taking taylor expansion of 1.0 in N 0.132 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.132 * [taylor]: Taking taylor expansion of N in N 0.138 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.138 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.138 * [taylor]: Taking taylor expansion of -1 in N 0.138 * [taylor]: Taking taylor expansion of N in N 0.174 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.174 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.174 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.174 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.174 * [taylor]: Taking taylor expansion of N in N 0.174 * [taylor]: Taking taylor expansion of 1.0 in N 0.175 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.175 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.175 * [taylor]: Taking taylor expansion of N in N 0.175 * [taylor]: Taking taylor expansion of 1.0 in N 0.187 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.188 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.188 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.188 * [taylor]: Taking taylor expansion of N in N 0.188 * [taylor]: Taking taylor expansion of 1.0 in N 0.188 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.189 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.189 * [taylor]: Taking taylor expansion of N in N 0.189 * [taylor]: Taking taylor expansion of 1.0 in N 0.202 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.202 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.202 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.202 * [taylor]: Taking taylor expansion of 1.0 in N 0.202 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.202 * [taylor]: Taking taylor expansion of 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 0.203 * [taylor]: Taking taylor expansion of 1.0 in N 0.203 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.203 * [taylor]: Taking taylor expansion of N in N 0.223 * * * [progress]: simplifying candidates 0.224 * [simplify]: Simplifying using # : (/ (+ N 1.0) N) (/ (+ N 1.0) (exp (log N))) (/ (exp (log (+ N 1.0))) N) (/ (exp (log (+ N 1.0))) (exp (log N))) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (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)) (+ (* 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)))) (- (* 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)))) 0.229 * * [simplify]: iteration 0 : 211 enodes (cost 284 ) 0.233 * * [simplify]: iteration 1 : 560 enodes (cost 270 ) 0.241 * * [simplify]: iteration 2 : 1900 enodes (cost 258 ) 0.277 * * [simplify]: iteration 3 : 5001 enodes (cost 255 ) 0.279 * [simplify]: Simplified to: (/ (+ N 1.0) N) (/ (+ N 1.0) N) (/ (+ N 1.0) N) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (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))) (- (/ 1.0 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)))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) 0.279 * * * [progress]: adding candidates to table 0.355 * * [progress]: iteration 2 / 4 0.355 * * * [progress]: picking best candidate 0.361 * * * * [pick]: Picked # 0.361 * * * [progress]: localizing error 0.366 * * * [progress]: generating rewritten candidates 0.366 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.372 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.383 * * * [progress]: generating series expansions 0.383 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.383 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.383 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.383 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.383 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.383 * [taylor]: Taking taylor expansion of N in N 0.383 * [taylor]: Taking taylor expansion of 1.0 in N 0.383 * [taylor]: Taking taylor expansion of N in N 0.384 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.384 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.385 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.385 * [taylor]: Taking taylor expansion of N in N 0.385 * [taylor]: Taking taylor expansion of 1.0 in N 0.385 * [taylor]: Taking taylor expansion of N in N 0.399 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.399 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.399 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.399 * [taylor]: Taking taylor expansion of N in N 0.399 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.399 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.399 * [taylor]: Taking taylor expansion of N in N 0.400 * [taylor]: Taking taylor expansion of 1.0 in N 0.402 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.402 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.402 * [taylor]: Taking taylor expansion of N in N 0.402 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.402 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.402 * [taylor]: Taking taylor expansion of N in N 0.402 * [taylor]: Taking taylor expansion of 1.0 in N 0.429 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.429 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.429 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.429 * [taylor]: Taking taylor expansion of -1 in N 0.429 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.429 * [taylor]: Taking taylor expansion of N in N 0.429 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.429 * [taylor]: Taking taylor expansion of 1.0 in N 0.429 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.429 * [taylor]: Taking taylor expansion of N in N 0.433 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.433 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.433 * [taylor]: Taking taylor expansion of -1 in N 0.433 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.433 * [taylor]: Taking taylor expansion of N in N 0.433 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.433 * [taylor]: Taking taylor expansion of 1.0 in N 0.433 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.433 * [taylor]: Taking taylor expansion of N in N 0.473 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.474 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.474 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.474 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.474 * [taylor]: Taking taylor expansion of N in N 0.474 * [taylor]: Taking taylor expansion of 1.0 in N 0.474 * [taylor]: Taking taylor expansion of N in N 0.474 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.474 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.474 * [taylor]: Taking taylor expansion of N in N 0.474 * [taylor]: Taking taylor expansion of 1.0 in N 0.474 * [taylor]: Taking taylor expansion of N in N 0.481 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.482 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.482 * [taylor]: Taking taylor expansion of N in N 0.482 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 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 0.482 * [taylor]: Taking taylor expansion of 1.0 in N 0.482 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.482 * [taylor]: Taking taylor expansion of N in N 0.482 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 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 0.482 * [taylor]: Taking taylor expansion of 1.0 in N 0.497 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.497 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.497 * [taylor]: Taking taylor expansion of -1 in N 0.497 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.497 * [taylor]: Taking taylor expansion of N in N 0.497 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.497 * [taylor]: Taking taylor expansion of 1.0 in N 0.497 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.497 * [taylor]: Taking taylor expansion of N in N 0.497 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.497 * [taylor]: Taking taylor expansion of -1 in N 0.497 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.497 * [taylor]: Taking taylor expansion of N in N 0.497 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.497 * [taylor]: Taking taylor expansion of 1.0 in N 0.497 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.497 * [taylor]: Taking taylor expansion of N in N 0.521 * * * [progress]: simplifying candidates 0.523 * [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))) (log (- N)) (log 1) (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) (* (cbrt N) (cbrt N)))) (log (cbrt N)) (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)) (log (/ (+ N 1.0) 1)) (log N) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (/ N (cbrt (+ N 1.0)))) (log (sqrt (+ N 1.0))) (log (/ N (sqrt (+ N 1.0)))) (log 1) (log (/ N (+ N 1.0))) (log 1) (log (/ N (+ N 1.0))) (log (+ (pow N 3) (pow 1.0 3))) (log (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (- (* N N) (* 1.0 1.0))) (log (* N (- N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.527 * * [simplify]: iteration 0 : 264 enodes (cost 452 ) 0.532 * * [simplify]: iteration 1 : 862 enodes (cost 420 ) 0.548 * * [simplify]: iteration 2 : 3701 enodes (cost 412 ) 0.630 * * [simplify]: iteration 3 : 5001 enodes (cost 412 ) 0.633 * [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))) (log (- N)) 0 (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) (* (cbrt N) (cbrt N)))) (log (cbrt N)) (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)) (log (+ N 1.0)) (log N) (* 2 (log (cbrt (+ N 1.0)))) (log (/ N (cbrt (+ N 1.0)))) (log (sqrt (+ N 1.0))) (log (/ N (sqrt (+ N 1.0)))) 0 (log (/ N (+ N 1.0))) 0 (log (/ N (+ N 1.0))) (log (+ (pow N 3) (pow 1.0 3))) (log (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (- (* N N) (* 1.0 1.0))) (log (* N (- N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (+ N 1.0) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* (+ (* 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))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (/ 0.3333333333333333 (pow N 3)))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (/ 0.3333333333333333 (pow N 3)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.634 * * * [progress]: adding candidates to table 0.737 * * [progress]: iteration 3 / 4 0.738 * * * [progress]: picking best candidate 0.741 * * * * [pick]: Picked # 0.741 * * * [progress]: localizing error 0.750 * * * [progress]: generating rewritten candidates 0.750 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.756 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 0.762 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.768 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.780 * * * [progress]: generating series expansions 0.781 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.781 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.781 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.781 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.781 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.781 * [taylor]: Taking taylor expansion of N in N 0.781 * [taylor]: Taking taylor expansion of 1.0 in N 0.781 * [taylor]: Taking taylor expansion of N in N 0.782 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.782 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.782 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.782 * [taylor]: Taking taylor expansion of N in N 0.782 * [taylor]: Taking taylor expansion of 1.0 in N 0.782 * [taylor]: Taking taylor expansion of N in N 0.797 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.797 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.797 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.797 * [taylor]: Taking taylor expansion of N in N 0.797 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.797 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.797 * [taylor]: Taking taylor expansion of N in N 0.798 * [taylor]: Taking taylor expansion of 1.0 in N 0.799 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.800 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.800 * [taylor]: Taking taylor expansion of N in N 0.800 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.800 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.800 * [taylor]: Taking taylor expansion of N in N 0.800 * [taylor]: Taking taylor expansion of 1.0 in N 0.832 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.832 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.832 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.832 * [taylor]: Taking taylor expansion of -1 in N 0.832 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.832 * [taylor]: Taking taylor expansion of N in N 0.832 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.832 * [taylor]: Taking taylor expansion of 1.0 in N 0.832 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.832 * [taylor]: Taking taylor expansion of N in N 0.835 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.835 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.835 * [taylor]: Taking taylor expansion of -1 in N 0.835 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.835 * [taylor]: Taking taylor expansion of N in N 0.835 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.835 * [taylor]: Taking taylor expansion of 1.0 in N 0.835 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.835 * [taylor]: Taking taylor expansion of N in N 0.870 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 0.870 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.870 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.870 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.870 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.870 * [taylor]: Taking taylor expansion of N in N 0.870 * [taylor]: Taking taylor expansion of 1.0 in N 0.870 * [taylor]: Taking taylor expansion of N in N 0.871 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.871 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.871 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.871 * [taylor]: Taking taylor expansion of N in N 0.871 * [taylor]: Taking taylor expansion of 1.0 in N 0.871 * [taylor]: Taking taylor expansion of N in N 0.891 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.891 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.891 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.891 * [taylor]: Taking taylor expansion of N in N 0.891 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.891 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.891 * [taylor]: Taking taylor expansion of N in N 0.892 * [taylor]: Taking taylor expansion of 1.0 in N 0.894 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.894 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.894 * [taylor]: Taking taylor expansion of N in N 0.894 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.894 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.894 * [taylor]: Taking taylor expansion of N in N 0.894 * [taylor]: Taking taylor expansion of 1.0 in N 0.921 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.921 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.921 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.921 * [taylor]: Taking taylor expansion of -1 in N 0.921 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.921 * [taylor]: Taking taylor expansion of N in N 0.921 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.921 * [taylor]: Taking taylor expansion of 1.0 in N 0.921 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.921 * [taylor]: Taking taylor expansion of N in N 0.925 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.925 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.925 * [taylor]: Taking taylor expansion of -1 in N 0.925 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.925 * [taylor]: Taking taylor expansion of N in N 0.925 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.925 * [taylor]: Taking taylor expansion of 1.0 in N 0.925 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.925 * [taylor]: Taking taylor expansion of N in N 0.959 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.959 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.960 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.960 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.960 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.960 * [taylor]: Taking taylor expansion of N in N 0.960 * [taylor]: Taking taylor expansion of 1.0 in N 0.960 * [taylor]: Taking taylor expansion of N in N 0.961 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.961 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.961 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.961 * [taylor]: Taking taylor expansion of N in N 0.961 * [taylor]: Taking taylor expansion of 1.0 in N 0.961 * [taylor]: Taking taylor expansion of N in N 0.981 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.981 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.981 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.981 * [taylor]: Taking taylor expansion of N in N 0.981 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.981 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.981 * [taylor]: Taking taylor expansion of N in N 0.981 * [taylor]: Taking taylor expansion of 1.0 in N 0.983 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.983 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.983 * [taylor]: Taking taylor expansion of N in N 0.983 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.983 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.984 * [taylor]: Taking taylor expansion of N in N 0.984 * [taylor]: Taking taylor expansion of 1.0 in N 1.010 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.010 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.010 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.010 * [taylor]: Taking taylor expansion of -1 in N 1.010 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.010 * [taylor]: Taking taylor expansion of N in N 1.010 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.011 * [taylor]: Taking taylor expansion of 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 1.014 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.014 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.014 * [taylor]: Taking taylor expansion of -1 in N 1.014 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.014 * [taylor]: Taking taylor expansion of N in N 1.014 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.014 * [taylor]: Taking taylor expansion of 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 1.054 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.054 * [approximate]: Taking taylor expansion of (pow (pow (log (/ (+ N 1.0) N)) 2) 1/3) in (N) around 0 1.054 * [taylor]: Taking taylor expansion of (pow (pow (log (/ (+ N 1.0) N)) 2) 1/3) in N 1.054 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (/ (+ N 1.0) N)) 2)))) in N 1.054 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (/ (+ N 1.0) N)) 2))) in N 1.055 * [taylor]: Taking taylor expansion of 1/3 in N 1.055 * [taylor]: Taking taylor expansion of (log (pow (log (/ (+ N 1.0) N)) 2)) in N 1.055 * [taylor]: Taking taylor expansion of (pow (log (/ (+ N 1.0) N)) 2) in N 1.055 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.055 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.055 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.055 * [taylor]: Taking taylor expansion of N in N 1.055 * [taylor]: Taking taylor expansion of 1.0 in N 1.055 * [taylor]: Taking taylor expansion of N in N 1.059 * [taylor]: Taking taylor expansion of (pow (pow (log (/ (+ N 1.0) N)) 2) 1/3) in N 1.059 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (/ (+ N 1.0) N)) 2)))) in N 1.059 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (/ (+ N 1.0) N)) 2))) in N 1.059 * [taylor]: Taking taylor expansion of 1/3 in N 1.059 * [taylor]: Taking taylor expansion of (log (pow (log (/ (+ N 1.0) N)) 2)) in N 1.059 * [taylor]: Taking taylor expansion of (pow (log (/ (+ N 1.0) N)) 2) in N 1.059 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.059 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.059 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.059 * [taylor]: Taking taylor expansion of N in N 1.059 * [taylor]: Taking taylor expansion of 1.0 in N 1.059 * [taylor]: Taking taylor expansion of N in N 1.115 * [approximate]: Taking taylor expansion of (pow (pow (log (* N (+ (/ 1 N) 1.0))) 2) 1/3) in (N) around 0 1.115 * [taylor]: Taking taylor expansion of (pow (pow (log (* N (+ (/ 1 N) 1.0))) 2) 1/3) in N 1.115 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (* N (+ (/ 1 N) 1.0))) 2)))) in N 1.115 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (* N (+ (/ 1 N) 1.0))) 2))) in N 1.115 * [taylor]: Taking taylor expansion of 1/3 in N 1.115 * [taylor]: Taking taylor expansion of (log (pow (log (* N (+ (/ 1 N) 1.0))) 2)) in N 1.115 * [taylor]: Taking taylor expansion of (pow (log (* N (+ (/ 1 N) 1.0))) 2) in N 1.115 * [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 1.116 * [taylor]: Taking taylor expansion of 1.0 in N 1.125 * [taylor]: Taking taylor expansion of (pow (pow (log (* N (+ (/ 1 N) 1.0))) 2) 1/3) in N 1.126 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (* N (+ (/ 1 N) 1.0))) 2)))) in N 1.126 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (* N (+ (/ 1 N) 1.0))) 2))) in N 1.126 * [taylor]: Taking taylor expansion of 1/3 in N 1.126 * [taylor]: Taking taylor expansion of (log (pow (log (* N (+ (/ 1 N) 1.0))) 2)) in N 1.126 * [taylor]: Taking taylor expansion of (pow (log (* N (+ (/ 1 N) 1.0))) 2) in N 1.126 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.126 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.126 * [taylor]: Taking taylor expansion of N in N 1.126 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.126 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.126 * [taylor]: Taking taylor expansion of N in N 1.126 * [taylor]: Taking taylor expansion of 1.0 in N 1.197 * [approximate]: Taking taylor expansion of (pow (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 2) 1/3) in (N) around 0 1.197 * [taylor]: Taking taylor expansion of (pow (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 2) 1/3) in N 1.198 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 2)))) in N 1.198 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 2))) in N 1.198 * [taylor]: Taking taylor expansion of 1/3 in N 1.198 * [taylor]: Taking taylor expansion of (log (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 2)) in N 1.198 * [taylor]: Taking taylor expansion of (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 2) in N 1.198 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.198 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.198 * [taylor]: Taking taylor expansion of -1 in N 1.198 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.198 * [taylor]: Taking taylor expansion of N in N 1.198 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.198 * [taylor]: Taking taylor expansion of 1.0 in N 1.198 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.198 * [taylor]: Taking taylor expansion of N in N 1.217 * [taylor]: Taking taylor expansion of (pow (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 2) 1/3) in N 1.217 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 2)))) in N 1.217 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 2))) in N 1.217 * [taylor]: Taking taylor expansion of 1/3 in N 1.217 * [taylor]: Taking taylor expansion of (log (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 2)) in N 1.217 * [taylor]: Taking taylor expansion of (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 2) in N 1.217 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.217 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.217 * [taylor]: Taking taylor expansion of -1 in N 1.217 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.217 * [taylor]: Taking taylor expansion of N in N 1.217 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.217 * [taylor]: Taking taylor expansion of 1.0 in N 1.217 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.217 * [taylor]: Taking taylor expansion of N in N 1.277 * * * [progress]: simplifying candidates 1.280 * [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))) (log (- N)) (log 1) (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) (* (cbrt N) (cbrt N)))) (log (cbrt N)) (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)) (log (/ (+ N 1.0) 1)) (log N) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (/ N (cbrt (+ N 1.0)))) (log (sqrt (+ N 1.0))) (log (/ N (sqrt (+ N 1.0)))) (log 1) (log (/ N (+ N 1.0))) (log 1) (log (/ N (+ N 1.0))) (log (+ (pow N 3) (pow 1.0 3))) (log (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (- (* N N) (* 1.0 1.0))) (log (* N (- N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (- (+ N 1.0))) (log (- N)) (log 1) (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) (* (cbrt N) (cbrt N)))) (log (cbrt N)) (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)) (log (/ (+ N 1.0) 1)) (log N) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (/ N (cbrt (+ N 1.0)))) (log (sqrt (+ N 1.0))) (log (/ N (sqrt (+ N 1.0)))) (log 1) (log (/ N (+ N 1.0))) (log 1) (log (/ N (+ N 1.0))) (log (+ (pow N 3) (pow 1.0 3))) (log (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (- (* N N) (* 1.0 1.0))) (log (* N (- N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (- (+ N 1.0))) (log (- N)) (log 1) (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) (* (cbrt N) (cbrt N)))) (log (cbrt N)) (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)) (log (/ (+ N 1.0) 1)) (log N) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (/ N (cbrt (+ N 1.0)))) (log (sqrt (+ N 1.0))) (log (/ N (sqrt (+ N 1.0)))) (log 1) (log (/ N (+ N 1.0))) (log 1) (log (/ N (+ N 1.0))) (log (+ (pow N 3) (pow 1.0 3))) (log (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (- (* N N) (* 1.0 1.0))) (log (* N (- N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (+ 1/3 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))) (* (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)))) (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 (* (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 (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 (cbrt (log (/ (+ N 1.0) N))))) (* (cbrt (cbrt (log (/ (+ N 1.0) N)))) (cbrt (cbrt (log (/ (+ N 1.0) N)))))) (* (cbrt (cbrt (log (/ (+ N 1.0) N)))) (cbrt (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)))) (sqrt (cbrt (log (/ (+ N 1.0) N))))) (* 1 1) (* (cbrt (log (/ (+ N 1.0) N))) (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 (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))))) (* (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)))) (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))) (- (+ (* 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)))) (- (+ (* 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 N)) (pow 1.0 2)) (pow (/ 1 (pow (- (log 1.0) (log N)) 4)) 1/3))) (+ (pow (pow (- (log 1.0) (log N)) 2) 1/3) (* 0.6666666666666666 (* (* N (log 1.0)) (pow (/ 1 (pow (- (log 1.0) (log N)) 4)) 1/3))))))) (+ (* 0.4444444444444444 (* (* (pow N 2) (pow (log 1.0) 2)) (pow (/ 1 (pow (- (log 1.0) (log N)) 10)) 1/3))) (+ (* 0.4444444444444444 (* (* (pow N 2) (pow (log N) 2)) (pow (/ 1 (pow (- (log 1.0) (log N)) 10)) 1/3))) (+ (* 0.6666666666666666 (* (* N (log N)) (pow (/ 1 (pow (- (log 1.0) (log N)) 4)) 1/3))) (* 1/3 (* (/ (* (pow N 2) (log 1.0)) (pow 1.0 2)) (pow (/ 1 (pow (- (log 1.0) (log N)) 4)) 1/3))))))) (- (+ (exp (* 1/3 (+ (log 1.0) (* 2 (log (/ 1 N)))))) (* 0.36111111111111105 (/ (exp (* 1/3 (+ (log 1.0) (* 2 (log (/ 1 N)))))) (pow N 2)))) (+ (* 0.3333333333333333 (/ (exp (* 1/3 (+ (log 1.0) (* 2 (log (/ 1 N)))))) N)) (* 0.16666666666666666 (/ (exp (* 1/3 (+ (log 1.0) (* 2 (log (/ 1 N)))))) (* (pow N 2) (pow 1.0 2)))))) (- (+ (exp (* 1/3 (+ (log 1.0) (* 2 (log (/ -1 N)))))) (* 0.1944444444444444 (/ (exp (* 1/3 (+ (log 1.0) (* 2 (log (/ -1 N)))))) (pow N 2)))) (* 0.3333333333333333 (/ (exp (* 1/3 (+ (log 1.0) (* 2 (log (/ -1 N)))))) N))) 1.290 * * [simplify]: iteration 0 : 537 enodes (cost 1576 ) 1.300 * * [simplify]: iteration 1 : 1962 enodes (cost 1445 ) 1.335 * * [simplify]: iteration 2 : 5001 enodes (cost 1282 ) 1.349 * [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))) (log (- N)) 0 (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) (* (cbrt N) (cbrt N)))) (log (cbrt N)) (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)) (log (+ N 1.0)) (log N) (* 2 (log (cbrt (+ N 1.0)))) (log (/ N (cbrt (+ N 1.0)))) (log (sqrt (+ N 1.0))) (log (/ N (sqrt (+ N 1.0)))) 0 (log (/ N (+ N 1.0))) 0 (log (/ N (+ N 1.0))) (log (+ (pow N 3) (pow 1.0 3))) (log (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (- (* N N) (* 1.0 1.0))) (log (* N (- N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (pow (sqrt (cbrt (log (/ (+ N 1.0) N)))) 4) (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))) (log (- N)) 0 (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) (* (cbrt N) (cbrt N)))) (log (cbrt N)) (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)) (log (+ N 1.0)) (log N) (* 2 (log (cbrt (+ N 1.0)))) (log (/ N (cbrt (+ N 1.0)))) (log (sqrt (+ N 1.0))) (log (/ N (sqrt (+ N 1.0)))) 0 (log (/ N (+ N 1.0))) 0 (log (/ N (+ N 1.0))) (log (+ (pow N 3) (pow 1.0 3))) (log (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (- (* N N) (* 1.0 1.0))) (log (* N (- N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (pow (sqrt (cbrt (log (/ (+ N 1.0) N)))) 4) (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))) (log (- N)) 0 (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) (* (cbrt N) (cbrt N)))) (log (cbrt N)) (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)) (log (+ N 1.0)) (log N) (* 2 (log (cbrt (+ N 1.0)))) (log (/ N (cbrt (+ N 1.0)))) (log (sqrt (+ N 1.0))) (log (/ N (sqrt (+ N 1.0)))) 0 (log (/ N (+ N 1.0))) 0 (log (/ N (+ N 1.0))) (log (+ (pow N 3) (pow 1.0 3))) (log (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (- (* N N) (* 1.0 1.0))) (log (* N (- N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (pow (sqrt (cbrt (log (/ (+ N 1.0) N)))) 4) (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))) 2/3 2 (pow (cbrt (log (/ (+ N 1.0) N))) 6) (pow (sqrt (cbrt (log (/ (+ N 1.0) N)))) 4) 2 (* 2 (log (cbrt (log (/ (+ N 1.0) N))))) (* 2 (log (cbrt (log (/ (+ N 1.0) N))))) (pow (exp 1) (pow (sqrt (cbrt (log (/ (+ N 1.0) N)))) 4)) (pow (cbrt (log (/ (+ N 1.0) N))) 6) (pow (cbrt (log (/ (+ N 1.0) N))) 6) (pow (cbrt (log (/ (+ N 1.0) N))) 6) (pow (cbrt (log (/ (+ N 1.0) N))) 6) (* (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))))) (pow (cbrt (log (/ (+ N 1.0) N))) 6) (fabs (cbrt (log (/ (+ N 1.0) N)))) (fabs (cbrt (log (/ (+ N 1.0) N)))) 1 (pow (sqrt (cbrt (log (/ (+ N 1.0) N)))) 4) 1 (pow (sqrt (cbrt (log (/ (+ N 1.0) N)))) 4) (* (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 (log (/ (+ N 1.0) N))))) 1 (pow (sqrt (cbrt (log (/ (+ N 1.0) N)))) 4) 1 (pow (sqrt (cbrt (log (/ (+ N 1.0) N)))) 4) (pow (cbrt (cbrt (log (/ (+ N 1.0) N)))) 4) (* (cbrt (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))) 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))) (* (cbrt (log (/ (+ N 1.0) N))) (* (cbrt (cbrt (log (/ (+ N 1.0) N)))) (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))) (- (/ 1.0 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))))) (- (- (+ (+ (* (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))))) (- (+ (* (pow (/ 1 N) 2/3) (pow 1.0 1/3)) (* (* (/ (pow 1.0 1/3) N) (/ (pow (/ 1 N) 2/3) N)) (- 0.36111111111111105 (/ 0.16666666666666666 (pow 1.0 2))))) (* 0.3333333333333333 (/ (exp (* 1/3 (+ (log 1.0) (* 2 (log (/ 1 N)))))) N))) (+ (+ (/ (* (- (* (pow (/ -1 N) 2/3) (pow 1.0 1/3))) 0.3333333333333333) N) (* 0.1944444444444444 (/ (exp (* 1/3 (+ (log 1.0) (* 2 (log (/ -1 N)))))) (pow N 2)))) (* (pow (/ -1 N) 2/3) (pow 1.0 1/3))) 1.351 * * * [progress]: adding candidates to table 1.682 * * [progress]: iteration 4 / 4 1.683 * * * [progress]: picking best candidate 1.687 * * * * [pick]: Picked # 1.687 * * * [progress]: localizing error 1.703 * * * [progress]: generating rewritten candidates 1.703 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.709 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1 1) 1.715 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1 1) 1.721 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1 1) 1.734 * * * [progress]: generating series expansions 1.734 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.734 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.734 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.734 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.734 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.734 * [taylor]: Taking taylor expansion of N in N 1.734 * [taylor]: Taking taylor expansion of 1.0 in N 1.734 * [taylor]: Taking taylor expansion of N in N 1.736 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.736 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.736 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.736 * [taylor]: Taking taylor expansion of N in N 1.736 * [taylor]: Taking taylor expansion of 1.0 in N 1.736 * [taylor]: Taking taylor expansion of N in N 1.751 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.751 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.751 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.751 * [taylor]: Taking taylor expansion of N in N 1.751 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.751 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.751 * [taylor]: Taking taylor expansion of N in N 1.751 * [taylor]: Taking taylor expansion of 1.0 in N 1.753 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.753 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.753 * [taylor]: Taking taylor expansion of N in N 1.753 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.753 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.753 * [taylor]: Taking taylor expansion of N in N 1.753 * [taylor]: Taking taylor expansion of 1.0 in N 1.781 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.781 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.781 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.781 * [taylor]: Taking taylor expansion of -1 in N 1.782 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.782 * [taylor]: Taking taylor expansion of N in N 1.782 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.782 * [taylor]: Taking taylor expansion of 1.0 in N 1.782 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.782 * [taylor]: Taking taylor expansion of N in N 1.791 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.791 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.791 * [taylor]: Taking taylor expansion of -1 in N 1.791 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.791 * [taylor]: Taking taylor expansion of N in N 1.791 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.791 * [taylor]: Taking taylor expansion of 1.0 in N 1.791 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.791 * [taylor]: Taking taylor expansion of N in N 1.825 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1 1) 1.825 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.825 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.825 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.825 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.825 * [taylor]: Taking taylor expansion of N in N 1.825 * [taylor]: Taking taylor expansion of 1.0 in N 1.825 * [taylor]: Taking taylor expansion of N in N 1.826 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.826 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.826 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.826 * [taylor]: Taking taylor expansion of N in N 1.826 * [taylor]: Taking taylor expansion of 1.0 in N 1.826 * [taylor]: Taking taylor expansion of N in N 1.840 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.840 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.840 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.840 * [taylor]: Taking taylor expansion of N in N 1.840 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.840 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.840 * [taylor]: Taking taylor expansion of N in N 1.840 * [taylor]: Taking taylor expansion of 1.0 in N 1.842 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.842 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.842 * [taylor]: Taking taylor expansion of N in N 1.842 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.842 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.842 * [taylor]: Taking taylor expansion of N in N 1.843 * [taylor]: Taking taylor expansion of 1.0 in N 1.876 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.876 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.876 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.876 * [taylor]: Taking taylor expansion of -1 in N 1.876 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.876 * [taylor]: Taking taylor expansion of N in N 1.876 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.876 * [taylor]: Taking taylor expansion of 1.0 in N 1.876 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.876 * [taylor]: Taking taylor expansion of N in N 1.879 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.879 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.879 * [taylor]: Taking taylor expansion of -1 in N 1.879 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.879 * [taylor]: Taking taylor expansion of N in N 1.879 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.879 * [taylor]: Taking taylor expansion of 1.0 in N 1.879 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.879 * [taylor]: Taking taylor expansion of N in N 1.913 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1 1) 1.913 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.913 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.913 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.913 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.913 * [taylor]: Taking taylor expansion of N in N 1.913 * [taylor]: Taking taylor expansion of 1.0 in N 1.914 * [taylor]: Taking taylor expansion of N in N 1.914 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.914 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.914 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.914 * [taylor]: Taking taylor expansion of N in N 1.914 * [taylor]: Taking taylor expansion of 1.0 in N 1.915 * [taylor]: Taking taylor expansion of N in N 1.929 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.929 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.929 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.929 * [taylor]: Taking taylor expansion of N in N 1.929 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.929 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.929 * [taylor]: Taking taylor expansion of N in N 1.930 * [taylor]: Taking taylor expansion of 1.0 in N 1.931 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.932 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.932 * [taylor]: Taking taylor expansion of N in N 1.932 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.932 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.932 * [taylor]: Taking taylor expansion of N in N 1.932 * [taylor]: Taking taylor expansion of 1.0 in N 1.965 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.965 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.965 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.965 * [taylor]: Taking taylor expansion of -1 in N 1.965 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.965 * [taylor]: Taking taylor expansion of N in N 1.965 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.965 * [taylor]: Taking taylor expansion of 1.0 in N 1.965 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.965 * [taylor]: Taking taylor expansion of N in N 1.968 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.968 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.968 * [taylor]: Taking taylor expansion of -1 in N 1.968 * [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 2.001 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1 1) 2.002 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 2.002 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.002 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.002 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.002 * [taylor]: Taking taylor expansion of N in N 2.002 * [taylor]: Taking taylor expansion of 1.0 in N 2.002 * [taylor]: Taking taylor expansion of N in N 2.003 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.003 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.003 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.003 * [taylor]: Taking taylor expansion of N in N 2.003 * [taylor]: Taking taylor expansion of 1.0 in N 2.003 * [taylor]: Taking taylor expansion of N in N 2.017 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 2.017 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.017 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.017 * [taylor]: Taking taylor expansion of N in N 2.017 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.017 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.017 * [taylor]: Taking taylor expansion of N in N 2.017 * [taylor]: Taking taylor expansion of 1.0 in N 2.019 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.019 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.019 * [taylor]: Taking taylor expansion of N in N 2.019 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.019 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.019 * [taylor]: Taking taylor expansion of N in N 2.020 * [taylor]: Taking taylor expansion of 1.0 in N 2.053 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 2.053 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.053 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.053 * [taylor]: Taking taylor expansion of -1 in N 2.053 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.053 * [taylor]: Taking taylor expansion of N in N 2.053 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.053 * [taylor]: Taking taylor expansion of 1.0 in N 2.053 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.053 * [taylor]: Taking taylor expansion of N in N 2.056 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.056 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.056 * [taylor]: Taking taylor expansion of -1 in N 2.056 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.056 * [taylor]: Taking taylor expansion of N in N 2.056 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.056 * [taylor]: Taking taylor expansion of 1.0 in N 2.056 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.056 * [taylor]: Taking taylor expansion of N in N 2.090 * * * [progress]: simplifying candidates 2.093 * [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))) (log (- N)) (log 1) (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) (* (cbrt N) (cbrt N)))) (log (cbrt N)) (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)) (log (/ (+ N 1.0) 1)) (log N) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (/ N (cbrt (+ N 1.0)))) (log (sqrt (+ N 1.0))) (log (/ N (sqrt (+ N 1.0)))) (log 1) (log (/ N (+ N 1.0))) (log 1) (log (/ N (+ N 1.0))) (log (+ (pow N 3) (pow 1.0 3))) (log (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (- (* N N) (* 1.0 1.0))) (log (* N (- N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (- (+ N 1.0))) (log (- N)) (log 1) (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) (* (cbrt N) (cbrt N)))) (log (cbrt N)) (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)) (log (/ (+ N 1.0) 1)) (log N) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (/ N (cbrt (+ N 1.0)))) (log (sqrt (+ N 1.0))) (log (/ N (sqrt (+ N 1.0)))) (log 1) (log (/ N (+ N 1.0))) (log 1) (log (/ N (+ N 1.0))) (log (+ (pow N 3) (pow 1.0 3))) (log (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (- (* N N) (* 1.0 1.0))) (log (* N (- N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (- (+ N 1.0))) (log (- N)) (log 1) (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) (* (cbrt N) (cbrt N)))) (log (cbrt N)) (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)) (log (/ (+ N 1.0) 1)) (log N) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (/ N (cbrt (+ N 1.0)))) (log (sqrt (+ N 1.0))) (log (/ N (sqrt (+ N 1.0)))) (log 1) (log (/ N (+ N 1.0))) (log 1) (log (/ N (+ N 1.0))) (log (+ (pow N 3) (pow 1.0 3))) (log (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (- (* N N) (* 1.0 1.0))) (log (* N (- N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (- (+ N 1.0))) (log (- N)) (log 1) (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) (* (cbrt N) (cbrt N)))) (log (cbrt N)) (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)) (log (/ (+ N 1.0) 1)) (log N) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (/ N (cbrt (+ N 1.0)))) (log (sqrt (+ N 1.0))) (log (/ N (sqrt (+ N 1.0)))) (log 1) (log (/ N (+ N 1.0))) (log 1) (log (/ N (+ N 1.0))) (log (+ (pow N 3) (pow 1.0 3))) (log (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (- (* N N) (* 1.0 1.0))) (log (* N (- N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 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)))) 2.100 * * [simplify]: iteration 0 : 228 enodes (cost 1148 ) 2.105 * * [simplify]: iteration 1 : 635 enodes (cost 1068 ) 2.117 * * [simplify]: iteration 2 : 2602 enodes (cost 1036 ) 2.172 * * [simplify]: iteration 3 : 5002 enodes (cost 1036 ) 2.185 * [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))) (log (- N)) 0 (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) (* (cbrt N) (cbrt N)))) (log (cbrt N)) (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)) (log (+ N 1.0)) (log N) (* 2 (log (cbrt (+ N 1.0)))) (log (/ N (cbrt (+ N 1.0)))) (log (sqrt (+ N 1.0))) (log (/ N (sqrt (+ N 1.0)))) 0 (log (/ N (+ N 1.0))) 0 (log (/ N (+ N 1.0))) (log (+ (pow N 3) (pow 1.0 3))) (log (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (- (* N N) (* 1.0 1.0))) (log (* N (- N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (* 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))) (log (- N)) 0 (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) (* (cbrt N) (cbrt N)))) (log (cbrt N)) (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)) (log (+ N 1.0)) (log N) (* 2 (log (cbrt (+ N 1.0)))) (log (/ N (cbrt (+ N 1.0)))) (log (sqrt (+ N 1.0))) (log (/ N (sqrt (+ N 1.0)))) 0 (log (/ N (+ N 1.0))) 0 (log (/ N (+ N 1.0))) (log (+ (pow N 3) (pow 1.0 3))) (log (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (- (* N N) (* 1.0 1.0))) (log (* N (- N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (* 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))) (log (- N)) 0 (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) (* (cbrt N) (cbrt N)))) (log (cbrt N)) (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)) (log (+ N 1.0)) (log N) (* 2 (log (cbrt (+ N 1.0)))) (log 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(log (/ N (+ N 1.0))) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (+ (* 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))))) (- (+ (* 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))))) 2.187 * * * [progress]: adding candidates to table 2.635 * [progress]: [Phase 3 of 3] Extracting. 2.635 * * [regime]: Finding splitpoints for: (# # #) 2.636 * * * [regime-changes]: Trying 1 branch expressions: (N) 2.636 * * * * [regimes]: Trying to branch on N from (# # #) 2.657 * * * [regime]: Found split indices: #