12.562 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.048 * * * [progress]: [2/2] Setting up program. 0.051 * [progress]: [Phase 2 of 3] Improving. 0.051 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.053 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.054 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.055 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.055 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.055 * * [progress]: iteration 1 / 4 0.055 * * * [progress]: picking best candidate 0.058 * * * * [pick]: Picked # 0.058 * * * [progress]: localizing error 0.069 * * * [progress]: generating rewritten candidates 0.069 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.075 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.080 * * * [progress]: generating series expansions 0.080 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.080 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.080 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.080 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.080 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.080 * [taylor]: Taking taylor expansion of N in N 0.080 * [taylor]: Taking taylor expansion of 1.0 in N 0.081 * [taylor]: Taking taylor expansion of (log N) in N 0.081 * [taylor]: Taking taylor expansion of N in N 0.081 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.081 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.081 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.081 * [taylor]: Taking taylor expansion of N in N 0.082 * [taylor]: Taking taylor expansion of 1.0 in N 0.082 * [taylor]: Taking taylor expansion of (log N) in N 0.082 * [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 0.103 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.103 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.103 * [taylor]: Taking taylor expansion of N in N 0.104 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.104 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 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 1.0 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 N in N 0.135 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.135 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.135 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.135 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.135 * [taylor]: Taking taylor expansion of 1.0 in N 0.135 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.135 * [taylor]: Taking taylor expansion of N in N 0.136 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.136 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.136 * [taylor]: Taking taylor expansion of -1 in N 0.136 * [taylor]: Taking taylor expansion of N in N 0.137 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.137 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.137 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.137 * [taylor]: Taking taylor expansion of 1.0 in N 0.137 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.137 * [taylor]: Taking taylor expansion of N in N 0.138 * [taylor]: Taking taylor expansion of (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 0.178 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.178 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.178 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.179 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.179 * [taylor]: Taking taylor expansion of N in N 0.179 * [taylor]: Taking taylor expansion of 1.0 in N 0.179 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.179 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.179 * [taylor]: Taking taylor expansion of N in N 0.179 * [taylor]: Taking taylor expansion of 1.0 in N 0.191 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.191 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.191 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.191 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.191 * [taylor]: Taking taylor expansion of N in N 0.191 * [taylor]: Taking taylor expansion of 1.0 in N 0.192 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.192 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.192 * [taylor]: Taking taylor expansion of N in N 0.192 * [taylor]: Taking taylor expansion of 1.0 in N 0.204 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.205 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.205 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.205 * [taylor]: Taking taylor expansion of 1.0 in N 0.205 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.205 * [taylor]: Taking taylor expansion of N in N 0.206 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.206 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.206 * [taylor]: Taking taylor expansion of 1.0 in N 0.206 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.206 * [taylor]: Taking taylor expansion of N in N 0.220 * * * [progress]: simplifying candidates 0.221 * [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)) (+ (* 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)))) 0.224 * * [simplify]: iteration 0 : 212 enodes (cost 281 ) 0.227 * * [simplify]: iteration 1 : 547 enodes (cost 264 ) 0.235 * * [simplify]: iteration 2 : 1875 enodes (cost 250 ) 0.269 * * [simplify]: iteration 3 : 5002 enodes (cost 247 ) 0.270 * [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 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) 0.271 * * * [progress]: adding candidates to table 0.390 * * [progress]: iteration 2 / 4 0.390 * * * [progress]: picking best candidate 0.399 * * * * [pick]: Picked # 0.399 * * * [progress]: localizing error 0.403 * * * [progress]: generating rewritten candidates 0.403 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.407 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.414 * * * [progress]: generating series expansions 0.414 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.414 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.414 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.414 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.414 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.414 * [taylor]: Taking taylor expansion of N in N 0.415 * [taylor]: Taking taylor expansion of 1.0 in N 0.415 * [taylor]: Taking taylor expansion of N in N 0.416 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.416 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.416 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.416 * [taylor]: Taking taylor expansion of N in N 0.416 * [taylor]: Taking taylor expansion of 1.0 in N 0.416 * [taylor]: Taking taylor expansion of N in N 0.430 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.430 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.430 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.430 * [taylor]: Taking taylor expansion of N in N 0.430 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.430 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.430 * [taylor]: Taking taylor expansion of N in N 0.431 * [taylor]: Taking taylor expansion of 1.0 in N 0.437 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.437 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.437 * [taylor]: Taking taylor expansion of N in N 0.437 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.437 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.437 * [taylor]: Taking taylor expansion of N in N 0.437 * [taylor]: Taking taylor expansion of 1.0 in N 0.463 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.463 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.463 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.464 * [taylor]: Taking taylor expansion of -1 in N 0.464 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.464 * [taylor]: Taking taylor expansion of N in N 0.464 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.464 * [taylor]: Taking taylor expansion of 1.0 in N 0.464 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.464 * [taylor]: Taking taylor expansion of N in N 0.467 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.467 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.467 * [taylor]: Taking taylor expansion of -1 in N 0.467 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.467 * [taylor]: Taking taylor expansion of N in N 0.467 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.467 * [taylor]: Taking taylor expansion of 1.0 in N 0.467 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.467 * [taylor]: Taking taylor expansion of N in N 0.501 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.501 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.501 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.501 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.501 * [taylor]: Taking taylor expansion of N in N 0.501 * [taylor]: Taking taylor expansion of 1.0 in N 0.501 * [taylor]: Taking taylor expansion of N in N 0.502 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.502 * [taylor]: Taking taylor expansion of (+ N 1.0) 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 N in N 0.508 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.508 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.508 * [taylor]: Taking taylor expansion of N in N 0.508 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.508 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.508 * [taylor]: Taking taylor expansion of N in N 0.509 * [taylor]: Taking taylor expansion of 1.0 in N 0.509 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.509 * [taylor]: Taking taylor expansion of N in N 0.509 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.509 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.509 * [taylor]: Taking taylor expansion of N in N 0.509 * [taylor]: Taking taylor expansion of 1.0 in N 0.529 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.529 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.529 * [taylor]: Taking taylor expansion of -1 in N 0.529 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.529 * [taylor]: Taking taylor expansion of N in N 0.529 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.529 * [taylor]: Taking taylor expansion of 1.0 in N 0.529 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.529 * [taylor]: Taking taylor expansion of N in N 0.529 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.529 * [taylor]: Taking taylor expansion of -1 in N 0.529 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.529 * [taylor]: Taking taylor expansion of N in N 0.530 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.530 * [taylor]: Taking taylor expansion of 1.0 in N 0.530 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.530 * [taylor]: Taking taylor expansion of N in N 0.554 * * * [progress]: simplifying candidates 0.555 * [simplify]: Simplifying using # : (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (neg (+ N 1.0)) (neg N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.559 * * [simplify]: iteration 0 : 233 enodes (cost 373 ) 0.562 * * [simplify]: iteration 1 : 773 enodes (cost 351 ) 0.575 * * [simplify]: iteration 2 : 3489 enodes (cost 339 ) 0.649 * * [simplify]: iteration 3 : 5002 enodes (cost 339 ) 0.652 * [simplify]: Simplified to: (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (neg (+ N 1.0)) (neg N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (+ N 1.0) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* (+ (* 1.0 (- 1.0 N)) (pow N 2)) N) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.652 * * * [progress]: adding candidates to table 0.780 * * [progress]: iteration 3 / 4 0.780 * * * [progress]: picking best candidate 0.786 * * * * [pick]: Picked # 0.786 * * * [progress]: localizing error 0.795 * * * [progress]: generating rewritten candidates 0.795 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 0.800 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.816 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.837 * * * [progress]: generating series expansions 0.837 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 0.837 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 0.837 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.837 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.837 * [taylor]: Taking taylor expansion of N in N 0.838 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.838 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.838 * [taylor]: Taking taylor expansion of N in N 0.849 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 0.849 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.849 * [taylor]: Taking taylor expansion of N in N 0.849 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.849 * [taylor]: Taking taylor expansion of N in N 0.853 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 0.853 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.853 * [taylor]: Taking taylor expansion of N in N 0.853 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.853 * [taylor]: Taking taylor expansion of N in N 0.857 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.857 * [approximate]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in (N) around 0 0.858 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in N 0.858 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.858 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.858 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.858 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.858 * [taylor]: Taking taylor expansion of N in N 0.858 * [taylor]: Taking taylor expansion of 0.5 in N 0.858 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.858 * [taylor]: Taking taylor expansion of N in N 0.859 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in N 0.859 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.859 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.859 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.859 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.859 * [taylor]: Taking taylor expansion of N in N 0.859 * [taylor]: Taking taylor expansion of 0.5 in N 0.859 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.860 * [taylor]: Taking taylor expansion of N in N 0.884 * [approximate]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in (N) around 0 0.884 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 0.884 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.884 * [taylor]: Taking taylor expansion of N in N 0.884 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.884 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.884 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.884 * [taylor]: Taking taylor expansion of N in N 0.884 * [taylor]: Taking taylor expansion of 0.5 in N 0.884 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 0.884 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.884 * [taylor]: Taking taylor expansion of N in N 0.884 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.884 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.884 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.884 * [taylor]: Taking taylor expansion of N in N 0.884 * [taylor]: Taking taylor expansion of 0.5 in N 0.906 * [approximate]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in (N) around 0 0.906 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in N 0.906 * [taylor]: Taking taylor expansion of -1 in N 0.906 * [taylor]: Taking taylor expansion of (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2)) in N 0.906 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.906 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.906 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.906 * [taylor]: Taking taylor expansion of N in N 0.906 * [taylor]: Taking taylor expansion of 0.5 in N 0.906 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.906 * [taylor]: Taking taylor expansion of N in N 0.906 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in N 0.906 * [taylor]: Taking taylor expansion of -1 in N 0.906 * [taylor]: Taking taylor expansion of (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2)) in N 0.907 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.907 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.907 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.907 * [taylor]: Taking taylor expansion of N in N 0.907 * [taylor]: Taking taylor expansion of 0.5 in N 0.907 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.907 * [taylor]: Taking taylor expansion of N in N 0.937 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.938 * [approximate]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 0.938 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 0.938 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 0.938 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 0.938 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.938 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 0.938 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.938 * [taylor]: Taking taylor expansion of N in N 0.939 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.939 * [taylor]: Taking taylor expansion of 1.0 in N 0.939 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.939 * [taylor]: Taking taylor expansion of N in N 0.939 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 0.939 * [taylor]: Taking taylor expansion of 0.5 in N 0.939 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.939 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.939 * [taylor]: Taking taylor expansion of N in N 0.940 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 0.940 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 0.940 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 0.940 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.940 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 0.940 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.940 * [taylor]: Taking taylor expansion of N in N 0.940 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.940 * [taylor]: Taking taylor expansion of 1.0 in N 0.940 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.940 * [taylor]: Taking taylor expansion of N in N 0.941 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 0.941 * [taylor]: Taking taylor expansion of 0.5 in N 0.941 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.941 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.941 * [taylor]: Taking taylor expansion of N in N 0.950 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 0.950 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 0.950 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.950 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.950 * [taylor]: Taking taylor expansion of 1.0 in N 0.950 * [taylor]: Taking taylor expansion of N in N 0.950 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.950 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.950 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.950 * [taylor]: Taking taylor expansion of N in N 0.950 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.950 * [taylor]: Taking taylor expansion of 0.5 in N 0.950 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.950 * [taylor]: Taking taylor expansion of N in N 0.950 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 0.950 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.950 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.950 * [taylor]: Taking taylor expansion of 1.0 in N 0.950 * [taylor]: Taking taylor expansion of N in N 0.950 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.951 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.951 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.951 * [taylor]: Taking taylor expansion of N in N 0.951 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.951 * [taylor]: Taking taylor expansion of 0.5 in N 0.951 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.951 * [taylor]: Taking taylor expansion of N in N 0.959 * [approximate]: Taking taylor expansion of (neg (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 0.959 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 0.959 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 0.959 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.959 * [taylor]: Taking taylor expansion of 0.5 in N 0.959 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.959 * [taylor]: Taking taylor expansion of N in N 0.959 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.959 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.959 * [taylor]: Taking taylor expansion of 1.0 in N 0.959 * [taylor]: Taking taylor expansion of N in N 0.959 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.959 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.959 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.959 * [taylor]: Taking taylor expansion of N in N 0.959 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 0.959 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 0.959 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.959 * [taylor]: Taking taylor expansion of 0.5 in N 0.959 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.959 * [taylor]: Taking taylor expansion of N in N 0.959 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.959 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.959 * [taylor]: Taking taylor expansion of 1.0 in N 0.959 * [taylor]: Taking taylor expansion of N in N 0.959 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.959 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.959 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.959 * [taylor]: Taking taylor expansion of N in N 0.968 * * * [progress]: simplifying candidates 0.971 * [simplify]: Simplifying using # : (neg 2) (neg (* (log N) 2)) (neg (* (log N) 2)) (neg (log (pow N 2))) (- 0 (* (log N) 2)) (- 0 (* (log N) 2)) (- 0 (log (pow N 2))) (- (log 1) (* (log N) 2)) (- (log 1) (* (log N) 2)) (- (log 1) (log (pow N 2))) (log (/ 1 (pow N 2))) (exp (/ 1 (pow N 2))) (/ (* (* 1 1) 1) (* (* (pow N 2) (pow N 2)) (pow N 2))) (* (cbrt (/ 1 (pow N 2))) (cbrt (/ 1 (pow N 2)))) (cbrt (/ 1 (pow N 2))) (* (* (/ 1 (pow N 2)) (/ 1 (pow N 2))) (/ 1 (pow N 2))) (sqrt (/ 1 (pow N 2))) (sqrt (/ 1 (pow N 2))) (neg 1) (neg (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt N) (cbrt N)) 2)) (/ (cbrt 1) (pow (cbrt N) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt N) 2)) (/ (cbrt 1) (pow (sqrt N) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 2)) (/ (cbrt 1) (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) N) (/ (cbrt 1) N) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ (cbrt 1) (cbrt (pow N 2))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow N 2))) (/ (cbrt 1) (sqrt (pow N 2))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) (pow N (/ 2 2))) (/ (cbrt 1) (pow N (/ 2 2))) (/ (sqrt 1) (pow (* (cbrt N) (cbrt N)) 2)) (/ (sqrt 1) (pow (cbrt N) 2)) (/ (sqrt 1) (pow (sqrt N) 2)) (/ (sqrt 1) (pow (sqrt N) 2)) (/ (sqrt 1) (pow 1 2)) (/ (sqrt 1) (pow N 2)) (/ (sqrt 1) N) (/ (sqrt 1) N) (/ (sqrt 1) (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ (sqrt 1) (cbrt (pow N 2))) (/ (sqrt 1) (sqrt (pow N 2))) (/ (sqrt 1) (sqrt (pow N 2))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow N 2)) (/ (sqrt 1) (pow N (/ 2 2))) (/ (sqrt 1) (pow N (/ 2 2))) (/ 1 (pow (* (cbrt N) (cbrt N)) 2)) (/ 1 (pow (cbrt N) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow 1 2)) (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (sqrt (pow N 2))) (/ 1 (sqrt (pow N 2))) (/ 1 1) (/ 1 (pow N 2)) (/ 1 (pow N (/ 2 2))) (/ 1 (pow N (/ 2 2))) (/ 1 (pow N 2)) (/ (pow N 2) 1) (/ 1 (pow (* (cbrt N) (cbrt N)) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow 1 2)) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (sqrt (pow N 2))) (/ 1 1) (/ 1 (pow N (/ 2 2))) (/ (pow N 2) (cbrt 1)) (/ (pow N 2) (sqrt 1)) (/ (pow N 2) 1) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (+ (neg (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (neg (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (neg (log (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- 0 (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- 0 (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- 0 (log (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log 1) (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log 1) (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log 1) (log (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (log (/ 1 (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (exp (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (/ (* (* 1 1) 1) (* (* (pow N 2) (pow N 2)) (pow N 2))) (* (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)) (- (/ 0.3333333333333333 N) 0.5))) (* (* (* (/ 1 (pow N 2)) (/ 1 (pow N 2))) (/ 1 (pow N 2))) (* (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)) (- (/ 0.3333333333333333 N) 0.5))) (* (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)))) (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (* (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (sqrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (sqrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* 1 (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) (* (pow N 2) (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5)))) (* 1 (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) (* (pow N 2) (+ (/ 0.3333333333333333 N) 0.5)) (* (sqrt (/ 1 (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (sqrt (/ 1 (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (pow (sqrt N) 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (pow (sqrt N) 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) N) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) N) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (sqrt (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (sqrt (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (pow N (/ 2 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (pow N (/ 2 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow (sqrt N) 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow (sqrt N) 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 N) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 N) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (sqrt (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (sqrt (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N (/ 2 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N (/ 2 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N 2)) (/ 0.3333333333333333 N)) (* (/ 1 (pow N 2)) (neg 0.5)) (* (/ 1 (pow N 2)) (/ 0.3333333333333333 N)) (* (/ 1 (pow N 2)) (neg 0.5)) (* (/ 0.3333333333333333 N) (/ 1 (pow N 2))) (* (neg 0.5) (/ 1 (pow N 2))) (* (/ 0.3333333333333333 N) (/ 1 (pow N 2))) (* (neg 0.5) (/ 1 (pow N 2))) (* (/ 1 (pow N 2)) (* (cbrt (- (/ 0.3333333333333333 N) 0.5)) (cbrt (- (/ 0.3333333333333333 N) 0.5)))) (* (/ 1 (pow N 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N 2)) 1) (* (/ 1 (pow N 2)) (+ (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5))) (* (/ 1 (pow N 2)) (+ (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5))) (* (/ 1 (pow N 2)) 1) (* (cbrt (/ 1 (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (sqrt (/ 1 (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow (cbrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow (sqrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (cbrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (sqrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow N (/ 2 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow (cbrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow (sqrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (cbrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (sqrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow N (/ 2 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow (cbrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow (sqrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (cbrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (sqrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N (/ 2 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) (* (/ 1 (pow N 2)) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) (* 1 (- (/ 0.3333333333333333 N) 0.5)) (* (exp (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (exp (/ 1.0 N))) (log (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (exp (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (* (cbrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (cbrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)))) (cbrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (* (* (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (sqrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (sqrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (+ (* (* 1 (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N) (* (* (pow N 2) (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5)))) 1.0)) (* (* (pow N 2) (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5)))) N) (+ (* (* 1 (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) N) (* (* (pow N 2) (+ (/ 0.3333333333333333 N) 0.5)) 1.0)) (* (* (pow N 2) (+ (/ 0.3333333333333333 N) 0.5)) N) (+ (* (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N) (* (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5))) 1.0)) (* (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5))) N) (+ (* (* (/ 1 (pow N 2)) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) N) (* (+ (/ 0.3333333333333333 N) 0.5) 1.0)) (* (+ (/ 0.3333333333333333 N) 0.5) N) (+ (* (* 1 (- (/ 0.3333333333333333 N) 0.5)) N) (* (pow N 2) 1.0)) (* (pow N 2) N) (+ (pow (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) 3) (pow (/ 1.0 N) 3)) (+ (* (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (- (* (/ 1.0 N) (/ 1.0 N)) (* (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)))) (- (* (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1.0 N) (/ 1.0 N))) (- (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (neg 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (neg 0.5)) (/ 1.0 N)) (+ (* (neg 0.5) (/ 1 (pow N 2))) (/ 1.0 N)) (+ (* (neg 0.5) (/ 1 (pow N 2))) (/ 1.0 N)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 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)))) 0.979 * * [simplify]: iteration 0 : 583 enodes (cost 1075 ) 0.990 * * [simplify]: iteration 1 : 2726 enodes (cost 892 ) 1.033 * * [simplify]: iteration 2 : 5001 enodes (cost 829 ) 1.039 * [simplify]: Simplified to: -2 (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (exp (/ 1 (pow N 2))) (pow (/ 1 (pow N 2)) 3) (* (cbrt (/ 1 (pow N 2))) (cbrt (/ 1 (pow N 2)))) (cbrt (/ 1 (pow N 2))) (pow (/ 1 (pow N 2)) 3) (fabs (/ 1 N)) (fabs (/ 1 N)) -1 (neg (pow N 2)) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (pow N 2)) (pow N 2) (/ 1 (pow (cbrt N) 4)) (/ 1 N) 1 (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (fabs N)) 1 (/ 1 N) (pow N 2) (pow N 2) (pow N 2) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (exp (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (pow (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) 3) (pow (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) 3) (* (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)))) (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (pow (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) 3) (sqrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (sqrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3)) (* (+ (* 0.5 (+ 0.5 (/ 0.3333333333333333 N))) (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N))) (pow N 2)) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5)) (* (pow N 2) (+ (/ 0.3333333333333333 N) 0.5)) (* (sqrt (/ 1 (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (sqrt (/ 1 (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (* (sqrt (- (/ 0.3333333333333333 N) 0.5)) 1) (fabs N)) (/ (* (sqrt (- (/ 0.3333333333333333 N) 0.5)) 1) (fabs N)) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (* (sqrt (- (/ 0.3333333333333333 N) 0.5)) 1) (fabs N)) (/ (* (sqrt (- (/ 0.3333333333333333 N) 0.5)) 1) (fabs N)) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ 0.3333333333333333 (pow N 3)) (/ (neg 0.5) (pow N 2)) (/ 0.3333333333333333 (pow N 3)) (/ (neg 0.5) (pow N 2)) (/ 0.3333333333333333 (pow N 3)) (/ (neg 0.5) (pow N 2)) (/ 0.3333333333333333 (pow N 3)) (/ (neg 0.5) (pow N 2)) (/ (/ (* (cbrt (- (/ 0.3333333333333333 N) 0.5)) (cbrt (- (/ 0.3333333333333333 N) 0.5))) N) N) (* (/ 1 (pow N 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (/ 1 (pow N 2)) (/ (/ (+ (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) N) N) (/ (/ (+ (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5)) N) N) (/ 1 (pow N 2)) (* (cbrt (/ 1 (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (sqrt (/ 1 (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (/ (- (/ 0.3333333333333333 N) 0.5) (pow (cbrt N) 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (cbrt (pow N 2))) (/ (- (/ 0.3333333333333333 N) 0.5) (sqrt (pow N 2))) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow (cbrt N) 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (cbrt (pow N 2))) (/ (- (/ 0.3333333333333333 N) 0.5) (sqrt (pow N 2))) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow (cbrt N) 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (cbrt (pow N 2))) (/ (- (/ 0.3333333333333333 N) 0.5) (sqrt (pow N 2))) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3)) (pow N 2)) (/ (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5)) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (exp (+ (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ 1.0 N))) (log (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (exp (+ (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ 1.0 N))) (* (cbrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (cbrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)))) (cbrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (pow (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2))) 3) (sqrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (sqrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (+ (* (* 1 (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N) (* (* (pow N 2) (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5)))) 1.0)) (* (pow N 3) (+ (* 0.5 (+ 0.5 (/ 0.3333333333333333 N))) (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)))) (+ (* (* 1 (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) N) (* (* (pow N 2) (+ (/ 0.3333333333333333 N) 0.5)) 1.0)) (* (pow N 3) (+ (/ 0.3333333333333333 N) 0.5)) (+ (* (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N) (* (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5))) 1.0)) (* N (+ (* 0.5 (+ 0.5 (/ 0.3333333333333333 N))) (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)))) (+ (* (* (/ 1 (pow N 2)) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) N) (* (+ (/ 0.3333333333333333 N) 0.5) 1.0)) (* (+ (/ 0.3333333333333333 N) 0.5) N) (+ (* (* 1 (- (/ 0.3333333333333333 N) 0.5)) N) (* (pow N 2) 1.0)) (pow N 3) (+ (pow (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) 3) (pow (/ 1.0 N) 3)) (- (* (/ 1.0 N) (/ 1.0 N)) (- (* (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2))) (* (/ 1 (pow N 4)) (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5))))) (+ (neg (* (/ 1.0 N) (/ 1.0 N))) (* (/ 1 (pow N 4)) (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)))) (- (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2))) (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2))) (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2))) 1.040 * * * [progress]: adding candidates to table 1.338 * * [progress]: iteration 4 / 4 1.338 * * * [progress]: picking best candidate 1.342 * * * * [pick]: Picked # 1.342 * * * [progress]: localizing error 1.358 * * * [progress]: generating rewritten candidates 1.358 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2) 1.361 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 1.364 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.367 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.386 * * * [progress]: generating series expansions 1.386 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2) 1.386 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 1.386 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.386 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.386 * [taylor]: Taking taylor expansion of N in N 1.386 * [taylor]: Taking taylor expansion of 1.0 in N 1.387 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.387 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.387 * [taylor]: Taking taylor expansion of N in N 1.387 * [taylor]: Taking taylor expansion of 1.0 in N 1.399 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 1.399 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.399 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.399 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.399 * [taylor]: Taking taylor expansion of N in N 1.400 * [taylor]: Taking taylor expansion of 1.0 in N 1.400 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.400 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.400 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.400 * [taylor]: Taking taylor expansion of N in N 1.400 * [taylor]: Taking taylor expansion of 1.0 in N 1.413 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 1.413 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.413 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.413 * [taylor]: Taking taylor expansion of 1.0 in N 1.413 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.413 * [taylor]: Taking taylor expansion of N in N 1.414 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.414 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.414 * [taylor]: Taking taylor expansion of 1.0 in N 1.414 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.414 * [taylor]: Taking taylor expansion of N in N 1.429 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 1.429 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 1.429 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.429 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.429 * [taylor]: Taking taylor expansion of N in N 1.429 * [taylor]: Taking taylor expansion of 1.0 in N 1.429 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.429 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.429 * [taylor]: Taking taylor expansion of N in N 1.429 * [taylor]: Taking taylor expansion of 1.0 in N 1.441 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 1.441 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.441 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.441 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.441 * [taylor]: Taking taylor expansion of N in N 1.442 * [taylor]: Taking taylor expansion of 1.0 in N 1.442 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.442 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.442 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.442 * [taylor]: Taking taylor expansion of N in N 1.443 * [taylor]: Taking taylor expansion of 1.0 in N 1.455 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 1.455 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.455 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.455 * [taylor]: Taking taylor expansion of 1.0 in N 1.455 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.455 * [taylor]: Taking taylor expansion of N in N 1.456 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.456 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.456 * [taylor]: Taking taylor expansion of 1.0 in N 1.456 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.456 * [taylor]: Taking taylor expansion of N in N 1.476 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.476 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 1.476 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.476 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.476 * [taylor]: Taking taylor expansion of N in N 1.476 * [taylor]: Taking taylor expansion of 1.0 in N 1.477 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.477 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.477 * [taylor]: Taking taylor expansion of N in N 1.477 * [taylor]: Taking taylor expansion of 1.0 in N 1.489 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 1.489 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.489 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.489 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.489 * [taylor]: Taking taylor expansion of N in N 1.489 * [taylor]: Taking taylor expansion of 1.0 in N 1.490 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.490 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.490 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.490 * [taylor]: Taking taylor expansion of N in N 1.490 * [taylor]: Taking taylor expansion of 1.0 in N 1.503 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 1.503 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.503 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.503 * [taylor]: Taking taylor expansion of 1.0 in N 1.503 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.503 * [taylor]: Taking taylor expansion of N in N 1.504 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.504 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.504 * [taylor]: Taking taylor expansion of 1.0 in N 1.504 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.504 * [taylor]: Taking taylor expansion of N in N 1.519 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.519 * [approximate]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in (N) around 0 1.519 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in N 1.519 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 3) in N 1.519 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.519 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.519 * [taylor]: Taking taylor expansion of N in N 1.519 * [taylor]: Taking taylor expansion of 1.0 in N 1.520 * [taylor]: Taking taylor expansion of (pow (log N) 3) in N 1.520 * [taylor]: Taking taylor expansion of (log N) in N 1.520 * [taylor]: Taking taylor expansion of N in N 1.520 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in N 1.520 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 3) in N 1.520 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.520 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.520 * [taylor]: Taking taylor expansion of N in N 1.520 * [taylor]: Taking taylor expansion of 1.0 in N 1.521 * [taylor]: Taking taylor expansion of (pow (log N) 3) in N 1.521 * [taylor]: Taking taylor expansion of (log N) in N 1.521 * [taylor]: Taking taylor expansion of N in N 1.578 * [approximate]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in (N) around 0 1.578 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in N 1.578 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 3) in N 1.578 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.578 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.578 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.578 * [taylor]: Taking taylor expansion of N in N 1.579 * [taylor]: Taking taylor expansion of 1.0 in N 1.579 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N 1.579 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.579 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.580 * [taylor]: Taking taylor expansion of N in N 1.580 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in N 1.580 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 3) in N 1.580 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.580 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.580 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.580 * [taylor]: Taking taylor expansion of N in N 1.581 * [taylor]: Taking taylor expansion of 1.0 in N 1.581 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N 1.581 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.582 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.582 * [taylor]: Taking taylor expansion of N in N 1.623 * [approximate]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in (N) around 0 1.623 * [taylor]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in N 1.623 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 3) in N 1.623 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.623 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.623 * [taylor]: Taking taylor expansion of 1.0 in N 1.623 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.623 * [taylor]: Taking taylor expansion of N in N 1.625 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 3) in N 1.625 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 1.625 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.625 * [taylor]: Taking taylor expansion of -1 in N 1.625 * [taylor]: Taking taylor expansion of N in N 1.626 * [taylor]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in N 1.626 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 3) in N 1.626 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.626 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.626 * [taylor]: Taking taylor expansion of 1.0 in N 1.626 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.626 * [taylor]: Taking taylor expansion of N in N 1.628 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 3) in N 1.628 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 1.628 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.628 * [taylor]: Taking taylor expansion of -1 in N 1.628 * [taylor]: Taking taylor expansion of N in N 1.714 * * * [progress]: simplifying candidates 1.716 * [simplify]: Simplifying using # : (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (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))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (exp (pow (log (+ N 1.0)) 3)) (exp (pow (log N) 3))) (log (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (exp (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (* (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)))) (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (* (* (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (sqrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (sqrt (- (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 1.0)) (log N)) (- (pow (pow (log (+ N 1.0)) 3) 3) (pow (pow (log N) 3) 3)) (+ (* (pow (log (+ N 1.0)) 3) (pow (log (+ N 1.0)) 3)) (+ (* (pow (log N) 3) (pow (log N) 3)) (* (pow (log (+ N 1.0)) 3) (pow (log N) 3)))) (neg (pow (log N) 3)) (- (* (pow (log (+ N 1.0)) 3) (pow (log (+ N 1.0)) 3)) (* (pow (log N) 3) (pow (log N) 3))) (+ (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (sqrt (pow (log N) 3))) (- (pow (sqrt (log (+ N 1.0))) 3) (sqrt (pow (log N) 3))) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (log N) (/ 3 2))) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (log N) (/ 3 2))) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (sqrt (pow (log N) 3))) (- (pow (sqrt (log (+ N 1.0))) 3) (sqrt (pow (log N) 3))) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (log N) (/ 3 2))) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (log N) (/ 3 2))) (+ (sqrt (pow (log (+ N 1.0)) 3)) (pow (sqrt (log N)) 3)) (- (sqrt (pow (log (+ N 1.0)) 3)) (pow (sqrt (log N)) 3)) (+ (sqrt (pow (log (+ N 1.0)) 3)) (pow (sqrt (log N)) 3)) (- (sqrt (pow (log (+ N 1.0)) 3)) (pow (sqrt (log N)) 3)) (+ (sqrt (pow (log (+ N 1.0)) 3)) (sqrt (pow (log N) 3))) (- (sqrt (pow (log (+ N 1.0)) 3)) (sqrt (pow (log N) 3))) (+ (sqrt (pow (log (+ N 1.0)) 3)) (pow (log N) (/ 3 2))) (- (sqrt (pow (log (+ N 1.0)) 3)) (pow (log N) (/ 3 2))) (+ (pow (log (+ N 1.0)) (/ 3 2)) (pow (sqrt (log N)) 3)) (- (pow (log (+ N 1.0)) (/ 3 2)) (pow (sqrt (log N)) 3)) (+ (pow (log (+ N 1.0)) (/ 3 2)) (pow (sqrt (log N)) 3)) (- (pow (log (+ N 1.0)) (/ 3 2)) (pow (sqrt (log N)) 3)) (+ (pow (log (+ N 1.0)) (/ 3 2)) (sqrt (pow (log N) 3))) (- (pow (log (+ N 1.0)) (/ 3 2)) (sqrt (pow (log N) 3))) (+ (pow (log (+ N 1.0)) (/ 3 2)) (pow (log N) (/ 3 2))) (- (pow (log (+ N 1.0)) (/ 3 2)) (pow (log N) (/ 3 2))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (neg (pow (log N) 3)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (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)))) (- (+ (* 3.0 (* (pow N 2) (log 1.0))) (+ (* 3.0 (* N (pow (log 1.0) 2))) (pow (log 1.0) 3))) (+ (* 3/2 (/ (* (pow N 2) (pow (log 1.0) 2)) (pow 1.0 2))) (pow (log N) 3))) (- (+ (* 1.0 (/ 1 (pow N 3))) (+ (* 3.0 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 1.0 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (* 3.0 (/ (log (/ 1 N)) (pow N 3)))))) (+ (* 1.5 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (* 3.0 (/ (log (/ 1 N)) (pow N 2))))) (- (+ (* 3.0 (/ (pow (log -1) 2) N)) (+ (* 3.0 (/ (log (/ -1 N)) (pow N 3))) (+ (* 1.0 (/ (pow (log -1) 2) (pow N 3))) (+ (* 3.0 (/ (pow (log (/ -1 N)) 2) N)) (+ (* 1.0 (/ 1 (pow N 3))) (+ (* 3.0 (/ (* (log -1) (log (/ -1 N))) (pow N 2))) (+ (* 1.0 (/ (pow (log (/ -1 N)) 2) (pow N 3))) (* 3.0 (/ (log -1) (pow N 2)))))))))) (+ (* 2.0 (/ (* (log -1) (log (/ -1 N))) (pow N 3))) (+ (* 1.5 (/ (pow (log -1) 2) (pow N 2))) (+ (* 3.0 (/ (log -1) (pow N 3))) (+ (* 6.0 (/ (* (log -1) (log (/ -1 N))) N)) (+ (* 1.5 (/ (pow (log (/ -1 N)) 2) (pow N 2))) (* 3.0 (/ (log (/ -1 N)) (pow N 2))))))))) 1.722 * * [simplify]: iteration 0 : 480 enodes (cost 888 ) 1.730 * * [simplify]: iteration 1 : 1809 enodes (cost 857 ) 1.757 * * [simplify]: iteration 2 : 5001 enodes (cost 844 ) 1.762 * [simplify]: Simplified to: (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (* 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))) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (exp (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (log (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (exp (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (* (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)))) (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (pow (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) 3) (sqrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (sqrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (+ (* (log (+ N 1.0)) (+ (log (+ N 1.0)) (log N))) (pow (log (/ 1 N)) 2)) (- (log (+ N 1.0)) (log N)) (- (pow (pow (log (+ N 1.0)) 3) 3) (pow (pow (log N) 3) 3)) (+ (+ (pow (log (+ N 1.0)) 6) (pow (log N) 6)) (* (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (neg (pow (log N) 3)) (+ (pow (log (+ N 1.0)) 6) (neg (pow (log N) 6))) (+ (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 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(* (/ (pow (log (/ 1 N)) 2) N) (+ (/ 1.0 (pow N 2)) 3.0)) (+ (- (* 3.0 (/ (log (/ 1 N)) (pow N 3))) (+ (* 1.5 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (* 3.0 (/ (log (/ 1 N)) (pow N 2))))) (/ 1.0 (pow N 3)))) (+ (+ (neg (+ (* 2.0 (/ (* (log -1) (log (/ -1 N))) (pow N 3))) (+ (* 1.5 (/ (pow (log -1) 2) (pow N 2))) (+ (* 3.0 (/ (log -1) (pow N 3))) (+ (* 6.0 (/ (* (log -1) (log (/ -1 N))) N)) (+ (* 1.5 (/ (pow (log (/ -1 N)) 2) (pow N 2))) (* 3.0 (/ (log (/ -1 N)) (pow N 2))))))))) (+ (* 3.0 (+ (/ (pow (log -1) 2) N) (/ (log (/ -1 N)) (pow N 3)))) (+ (* 1.0 (/ (pow (log -1) 2) (pow N 3))) (* 3.0 (/ (pow (log (/ -1 N)) 2) N))))) (+ (+ (/ 1.0 (pow N 3)) (* (/ 3.0 N) (+ (/ (* (log -1) (log (/ -1 N))) N) (/ (log -1) N)))) (* 1.0 (/ (pow (log (/ -1 N)) 2) (pow N 3))))) 1.763 * * * [progress]: adding candidates to table 2.222 * [progress]: [Phase 3 of 3] Extracting. 2.223 * * [regime]: Finding splitpoints for: (# # #) 2.224 * * * [regime-changes]: Trying 1 branch expressions: (N) 2.224 * * * * [regimes]: Trying to branch on N from (# # #) 2.257 * * * [regime]: Found split indices: #