5.137 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.041 * * * [progress]: [2/2] Setting up program. 0.043 * [progress]: [Phase 2 of 3] Improving. 0.043 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.045 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.047 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.048 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.048 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.048 * * [progress]: iteration 1 / 4 0.048 * * * [progress]: picking best candidate 0.050 * * * * [pick]: Picked # 0.050 * * * [progress]: localizing error 0.056 * * * [progress]: generating rewritten candidates 0.056 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.058 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.065 * * * [progress]: generating series expansions 0.065 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.065 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.065 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.065 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.065 * [taylor]: Taking taylor expansion of N in N 0.065 * [taylor]: Taking taylor expansion of 1.0 in N 0.066 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.066 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.066 * [taylor]: Taking taylor expansion of N in N 0.066 * [taylor]: Taking taylor expansion of 1.0 in N 0.079 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.079 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.079 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.079 * [taylor]: Taking taylor expansion of N in N 0.079 * [taylor]: Taking taylor expansion of 1.0 in N 0.079 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.080 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.080 * [taylor]: Taking taylor expansion of N in N 0.080 * [taylor]: Taking taylor expansion of 1.0 in N 0.095 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.095 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.095 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.095 * [taylor]: Taking taylor expansion of 1.0 in N 0.095 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.095 * [taylor]: Taking taylor expansion of N in N 0.096 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.096 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.096 * [taylor]: Taking taylor expansion of 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 0.110 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.110 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.110 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.110 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.110 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.110 * [taylor]: Taking taylor expansion of N in N 0.110 * [taylor]: Taking taylor expansion of 1.0 in N 0.110 * [taylor]: Taking taylor expansion of (log N) in N 0.110 * [taylor]: Taking taylor expansion of N in N 0.111 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.111 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.111 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.111 * [taylor]: Taking taylor expansion of N in N 0.111 * [taylor]: Taking taylor expansion of 1.0 in N 0.111 * [taylor]: Taking taylor expansion of (log N) in N 0.111 * [taylor]: Taking taylor expansion of N in N 0.128 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.129 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.129 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.129 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.129 * [taylor]: Taking taylor expansion of N in N 0.129 * [taylor]: Taking taylor expansion of 1.0 in N 0.129 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.129 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.129 * [taylor]: Taking taylor expansion of N in N 0.130 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.130 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 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 0.130 * [taylor]: Taking taylor expansion of 1.0 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 N in N 0.163 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.163 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.163 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.163 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.163 * [taylor]: Taking taylor expansion of 1.0 in N 0.163 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.163 * [taylor]: Taking taylor expansion of N in N 0.164 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.164 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.164 * [taylor]: Taking taylor expansion of -1 in N 0.164 * [taylor]: Taking taylor expansion of N in N 0.165 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.165 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.165 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.165 * [taylor]: Taking taylor expansion of 1.0 in N 0.165 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.165 * [taylor]: Taking taylor expansion of N in N 0.166 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.166 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.166 * [taylor]: Taking taylor expansion of -1 in N 0.166 * [taylor]: Taking taylor expansion of N in N 0.199 * * * [progress]: simplifying candidates 0.199 * [simplify]: Simplifying using # : (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.203 * * [simplify]: iteration 0 : 212 enodes (cost 281 ) 0.206 * * [simplify]: iteration 1 : 547 enodes (cost 264 ) 0.215 * * [simplify]: iteration 2 : 1874 enodes (cost 250 ) 0.249 * * [simplify]: iteration 3 : 5001 enodes (cost 247 ) 0.250 * [simplify]: Simplified to: (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (+ (log N) (log (+ N 1.0)))) (* (log N) (log N))) (log (/ 1 N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (log (/ 1 N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) 0.250 * * * [progress]: adding candidates to table 0.342 * * [progress]: iteration 2 / 4 0.342 * * * [progress]: picking best candidate 0.348 * * * * [pick]: Picked # 0.348 * * * [progress]: localizing error 0.352 * * * [progress]: generating rewritten candidates 0.352 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.356 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.365 * * * [progress]: generating series expansions 0.365 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.365 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.365 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.365 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.365 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.365 * [taylor]: Taking taylor expansion of N in N 0.365 * [taylor]: Taking taylor expansion of 1.0 in N 0.365 * [taylor]: Taking taylor expansion of N in N 0.366 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.366 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.366 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.366 * [taylor]: Taking taylor expansion of N in N 0.366 * [taylor]: Taking taylor expansion of 1.0 in N 0.366 * [taylor]: Taking taylor expansion of N in N 0.380 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.380 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.380 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.380 * [taylor]: Taking taylor expansion of N in N 0.380 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.380 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.380 * [taylor]: Taking taylor expansion of N in N 0.380 * [taylor]: Taking taylor expansion of 1.0 in N 0.382 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.382 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.382 * [taylor]: Taking taylor expansion of N in N 0.382 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.382 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.382 * [taylor]: Taking taylor expansion of N in N 0.382 * [taylor]: Taking taylor expansion of 1.0 in N 0.410 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.410 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.410 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.410 * [taylor]: Taking taylor expansion of -1 in N 0.410 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.410 * [taylor]: Taking taylor expansion of N in N 0.410 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.410 * [taylor]: Taking taylor expansion of 1.0 in N 0.410 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.410 * [taylor]: Taking taylor expansion of N in N 0.413 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.414 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.414 * [taylor]: Taking taylor expansion of -1 in N 0.414 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.414 * [taylor]: Taking taylor expansion of N in N 0.414 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.414 * [taylor]: Taking taylor expansion of 1.0 in N 0.414 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.414 * [taylor]: Taking taylor expansion of N in N 0.445 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.445 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.445 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.445 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.445 * [taylor]: Taking taylor expansion of N in N 0.445 * [taylor]: Taking taylor expansion of 1.0 in N 0.445 * [taylor]: Taking taylor expansion of N in N 0.446 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.446 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.446 * [taylor]: Taking taylor expansion of N in N 0.446 * [taylor]: Taking taylor expansion of 1.0 in N 0.446 * [taylor]: Taking taylor expansion of N in N 0.452 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.452 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.452 * [taylor]: Taking taylor expansion of N in N 0.452 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.452 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.452 * [taylor]: Taking taylor expansion of N in N 0.453 * [taylor]: Taking taylor expansion of 1.0 in N 0.453 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.453 * [taylor]: Taking taylor expansion of N in N 0.453 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.453 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.453 * [taylor]: Taking taylor expansion of N in N 0.453 * [taylor]: Taking taylor expansion of 1.0 in N 0.469 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.469 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.469 * [taylor]: Taking taylor expansion of -1 in N 0.469 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.469 * [taylor]: Taking taylor expansion of N in N 0.469 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.469 * [taylor]: Taking taylor expansion of 1.0 in N 0.469 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.469 * [taylor]: Taking taylor expansion of N in N 0.469 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.469 * [taylor]: Taking taylor expansion of -1 in N 0.469 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.469 * [taylor]: Taking taylor expansion of N in N 0.469 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.469 * [taylor]: Taking taylor expansion of 1.0 in N 0.469 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.469 * [taylor]: Taking taylor expansion of N in N 0.492 * * * [progress]: simplifying candidates 0.493 * [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)) (- (+ 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) 0.497 * * [simplify]: iteration 0 : 233 enodes (cost 373 ) 0.501 * * [simplify]: iteration 1 : 773 enodes (cost 351 ) 0.514 * * [simplify]: iteration 2 : 3489 enodes (cost 339 ) 0.587 * * [simplify]: iteration 3 : 5002 enodes (cost 339 ) 0.589 * [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)) (- (+ 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 (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) 0.590 * * * [progress]: adding candidates to table 0.690 * * [progress]: iteration 3 / 4 0.690 * * * [progress]: picking best candidate 0.693 * * * * [pick]: Picked # 0.693 * * * [progress]: localizing error 0.700 * * * [progress]: generating rewritten candidates 0.700 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.712 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.748 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 0.753 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.767 * * * [progress]: generating series expansions 0.767 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.768 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.768 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.768 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.768 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.768 * [taylor]: Taking taylor expansion of N in N 0.768 * [taylor]: Taking taylor expansion of 1.0 in N 0.768 * [taylor]: Taking taylor expansion of N in N 0.769 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.769 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.769 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.769 * [taylor]: Taking taylor expansion of N in N 0.769 * [taylor]: Taking taylor expansion of 1.0 in N 0.769 * [taylor]: Taking taylor expansion of N in N 0.782 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.782 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.782 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.782 * [taylor]: Taking taylor expansion of N in N 0.782 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.782 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.782 * [taylor]: Taking taylor expansion of N in N 0.782 * [taylor]: Taking taylor expansion of 1.0 in N 0.784 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.784 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.784 * [taylor]: Taking taylor expansion of N in N 0.784 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.784 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.784 * [taylor]: Taking taylor expansion of N in N 0.784 * [taylor]: Taking taylor expansion of 1.0 in N 0.814 * [approximate]: Taking taylor expansion of (log (pow (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 2)) in (N) around 0 0.814 * [taylor]: Taking taylor expansion of (log (pow (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 2)) in N 0.814 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 2) in N 0.814 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.814 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.814 * [taylor]: Taking taylor expansion of -1 in N 0.814 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.814 * [taylor]: Taking taylor expansion of N in N 0.814 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.814 * [taylor]: Taking taylor expansion of 1.0 in N 0.814 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.814 * [taylor]: Taking taylor expansion of N in N 0.822 * [taylor]: Taking taylor expansion of (log (pow (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 2)) in N 0.822 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 2) in N 0.822 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.822 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.822 * [taylor]: Taking taylor expansion of -1 in N 0.822 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.822 * [taylor]: Taking taylor expansion of N in N 0.822 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.822 * [taylor]: Taking taylor expansion of 1.0 in N 0.822 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.822 * [taylor]: Taking taylor expansion of N in N 0.864 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.864 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.864 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.864 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.864 * [taylor]: Taking taylor expansion of N in N 0.864 * [taylor]: Taking taylor expansion of 1.0 in N 0.864 * [taylor]: Taking taylor expansion of N in N 0.865 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.865 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.865 * [taylor]: Taking taylor expansion of N in N 0.865 * [taylor]: Taking taylor expansion of 1.0 in N 0.865 * [taylor]: Taking taylor expansion of N in N 0.874 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.874 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.874 * [taylor]: Taking taylor expansion of N in N 0.874 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.874 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.874 * [taylor]: Taking taylor expansion of N in N 0.874 * [taylor]: Taking taylor expansion of 1.0 in N 0.874 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.874 * [taylor]: Taking taylor expansion of N in N 0.875 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.875 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.875 * [taylor]: Taking taylor expansion of N in N 0.875 * [taylor]: Taking taylor expansion of 1.0 in N 0.888 * [approximate]: Taking taylor expansion of (pow (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 2) in (N) around 0 0.888 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 2) in N 0.888 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.888 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.888 * [taylor]: Taking taylor expansion of -1 in N 0.888 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.888 * [taylor]: Taking taylor expansion of N in N 0.888 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.888 * [taylor]: Taking taylor expansion of 1.0 in N 0.888 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.888 * [taylor]: Taking taylor expansion of N in N 0.896 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 2) in N 0.896 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.896 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.896 * [taylor]: Taking taylor expansion of -1 in N 0.896 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.896 * [taylor]: Taking taylor expansion of N in N 0.896 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.896 * [taylor]: Taking taylor expansion of 1.0 in N 0.896 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.896 * [taylor]: Taking taylor expansion of N in N 0.973 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 0.973 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 0.973 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.973 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.973 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.973 * [taylor]: Taking taylor expansion of N in N 0.973 * [taylor]: Taking taylor expansion of 1.0 in N 0.973 * [taylor]: Taking taylor expansion of N in N 0.975 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.975 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.975 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.975 * [taylor]: Taking taylor expansion of N in N 0.975 * [taylor]: Taking taylor expansion of 1.0 in N 0.975 * [taylor]: Taking taylor expansion of N in N 0.982 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.982 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.982 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.982 * [taylor]: Taking taylor expansion of N in N 0.982 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.982 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.982 * [taylor]: Taking taylor expansion of N in N 0.983 * [taylor]: Taking taylor expansion of 1.0 in N 0.987 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.987 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.987 * [taylor]: Taking taylor expansion of N in N 0.987 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.987 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.987 * [taylor]: Taking taylor expansion of N in N 0.988 * [taylor]: Taking taylor expansion of 1.0 in N 0.996 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.996 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.996 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.996 * [taylor]: Taking taylor expansion of -1 in N 0.996 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.996 * [taylor]: Taking taylor expansion of N in N 0.996 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.996 * [taylor]: Taking taylor expansion of 1.0 in N 0.996 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.996 * [taylor]: Taking taylor expansion of N in N 1.004 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.004 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.004 * [taylor]: Taking taylor expansion of -1 in N 1.004 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.004 * [taylor]: Taking taylor expansion of N in N 1.004 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.004 * [taylor]: Taking taylor expansion of 1.0 in N 1.004 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.004 * [taylor]: Taking taylor expansion of N in N 1.015 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.016 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 1.016 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.016 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.016 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.016 * [taylor]: Taking taylor expansion of N in N 1.016 * [taylor]: Taking taylor expansion of 1.0 in N 1.016 * [taylor]: Taking taylor expansion of N in N 1.017 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.017 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.017 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.017 * [taylor]: Taking taylor expansion of N in N 1.017 * [taylor]: Taking taylor expansion of 1.0 in N 1.020 * [taylor]: Taking taylor expansion of N in N 1.027 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.027 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.027 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.027 * [taylor]: Taking taylor expansion of N in N 1.027 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.027 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.027 * [taylor]: Taking taylor expansion of N in N 1.027 * [taylor]: Taking taylor expansion of 1.0 in N 1.032 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.032 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.032 * [taylor]: Taking taylor expansion of N in N 1.032 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.032 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.032 * [taylor]: Taking taylor expansion of N in N 1.033 * [taylor]: Taking taylor expansion of 1.0 in N 1.041 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.041 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.041 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.041 * [taylor]: Taking taylor expansion of -1 in N 1.041 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.041 * [taylor]: Taking taylor expansion of N in N 1.041 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.041 * [taylor]: Taking taylor expansion of 1.0 in N 1.041 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.041 * [taylor]: Taking taylor expansion of N in N 1.048 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.049 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.049 * [taylor]: Taking taylor expansion of -1 in N 1.049 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.049 * [taylor]: Taking taylor expansion of N in N 1.049 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.049 * [taylor]: Taking taylor expansion of 1.0 in N 1.049 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.049 * [taylor]: Taking taylor expansion of N in N 1.060 * * * [progress]: simplifying candidates 1.063 * [simplify]: Simplifying using # : (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (* (sqrt (+ N 1.0)) (sqrt (+ N 1.0)))) (log (* (sqrt N) (sqrt N))) (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (+ N 1.0)))) (log (sqrt N)) (log (* (sqrt (+ N 1.0)) (sqrt (/ (+ N 1.0) N)))) (log (sqrt N)) (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (log (* (/ (+ N 1.0) N) (/ (+ N 1.0) N))) (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))) (log (* (/ (+ N 1.0) N) (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))))) (exp (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))))) (* (cbrt (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))))) (cbrt (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))))) (cbrt (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))))) (* (* (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))) (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))))) (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))))) (sqrt (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))))) (sqrt (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))) (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (+ 1 1) (+ (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N)))) (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))) (exp (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))) (* (* (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))) (sqrt (/ (+ N 1.0) N))) (* (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))) (sqrt (/ (+ N 1.0) N)))) (* (cbrt (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))) (cbrt (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))))) (cbrt (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))) (* (* (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))) (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))) (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))) (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (sqrt (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))) (sqrt (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))) (* (sqrt (+ N 1.0)) (sqrt (+ N 1.0))) (* (sqrt N) (sqrt N)) (* (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))) (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))))) (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))) (* (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (* (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N)))) (* (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N)))) (* (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N)))) (* (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N)))) (* (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N)))) (* (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (* (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (cbrt (+ N 1.0)) 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N))) (pow (sqrt (sqrt (/ (+ N 1.0) N))) 3) (/ (+ N 1.0) N) (* (sqrt (/ (+ N 1.0) N)) (sqrt (+ N 1.0))) (* (sqrt (/ (+ N 1.0) N)) (sqrt (+ N 1.0))) (log (sqrt (/ (+ N 1.0) N))) (exp (sqrt (/ (+ N 1.0) N))) (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))) (cbrt (sqrt (/ (+ N 1.0) N))) (pow (sqrt (/ (+ N 1.0) N)) 3) (fabs (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (fabs (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))) (fabs (cbrt (+ N 1.0))) (sqrt (/ (cbrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) 1)) (sqrt (/ (sqrt (+ N 1.0)) N)) (fabs (/ 1 (cbrt N))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) 1 (sqrt (/ (+ N 1.0) N)) (fabs (/ 1 (cbrt N))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) 1 (sqrt (/ (+ N 1.0) N)) 1 (sqrt (/ (+ N 1.0) N)) (sqrt (+ N 1.0)) (sqrt (/ 1 N)) (sqrt (+ N 1.0)) (sqrt N) 1/2 (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (exp (sqrt (/ (+ N 1.0) N))) (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))) (cbrt (sqrt (/ (+ N 1.0) N))) (pow (sqrt (/ (+ N 1.0) N)) 3) (fabs (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (fabs (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))) (fabs (cbrt (+ N 1.0))) (sqrt (/ (cbrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) 1)) (sqrt (/ (sqrt (+ N 1.0)) N)) (fabs (/ 1 (cbrt N))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) 1 (sqrt (/ (+ N 1.0) N)) (fabs (/ 1 (cbrt N))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) 1 (sqrt (/ (+ N 1.0) N)) 1 (sqrt (/ (+ N 1.0) N)) (sqrt (+ N 1.0)) (sqrt (/ 1 N)) (sqrt (+ N 1.0)) (sqrt N) 1/2 (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ 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 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (- (* +nan.0 (pow N 2))) (- (* +nan.0 N) +nan.0)) (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) (+ (- (* +nan.0 (pow N 2))) (- (* +nan.0 N) +nan.0)) (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 1.116 * * * [progress]: adding candidates to table 1.450 * * [progress]: iteration 4 / 4 1.450 * * * [progress]: picking best candidate 1.452 * * * * [pick]: Picked # 1.452 * * * [progress]: localizing error 1.467 * * * [progress]: generating rewritten candidates 1.467 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.523 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 1.527 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.545 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 1.558 * * * [progress]: generating series expansions 1.558 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.559 * [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 1.559 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 1.559 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 1.559 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 1.559 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.559 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 1.559 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.559 * [taylor]: Taking taylor expansion of N in N 1.560 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 1.560 * [taylor]: Taking taylor expansion of 1.0 in N 1.560 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.560 * [taylor]: Taking taylor expansion of N in N 1.561 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 1.561 * [taylor]: Taking taylor expansion of 0.5 in N 1.561 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.561 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.561 * [taylor]: Taking taylor expansion of N in N 1.561 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 1.561 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 1.561 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 1.561 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.561 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 1.561 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.561 * [taylor]: Taking taylor expansion of N in N 1.562 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 1.562 * [taylor]: Taking taylor expansion of 1.0 in N 1.562 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.562 * [taylor]: Taking taylor expansion of N in N 1.562 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 1.562 * [taylor]: Taking taylor expansion of 0.5 in N 1.562 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.562 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.562 * [taylor]: Taking taylor expansion of N in N 1.572 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 1.572 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 1.572 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 1.572 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 1.572 * [taylor]: Taking taylor expansion of 1.0 in N 1.572 * [taylor]: Taking taylor expansion of N in N 1.572 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 1.572 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.572 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.572 * [taylor]: Taking taylor expansion of N in N 1.572 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 1.572 * [taylor]: Taking taylor expansion of 0.5 in N 1.572 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.572 * [taylor]: Taking taylor expansion of N in N 1.572 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 1.572 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 1.572 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 1.572 * [taylor]: Taking taylor expansion of 1.0 in N 1.572 * [taylor]: Taking taylor expansion of N in N 1.572 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 1.572 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.572 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.572 * [taylor]: Taking taylor expansion of N in N 1.572 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 1.572 * [taylor]: Taking taylor expansion of 0.5 in N 1.572 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.572 * [taylor]: Taking taylor expansion of N in N 1.580 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 1.580 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 1.581 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 1.581 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 1.581 * [taylor]: Taking taylor expansion of 0.5 in N 1.581 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.581 * [taylor]: Taking taylor expansion of N in N 1.581 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 1.581 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 1.581 * [taylor]: Taking taylor expansion of 1.0 in N 1.581 * [taylor]: Taking taylor expansion of N in N 1.581 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 1.581 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.581 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.581 * [taylor]: Taking taylor expansion of N in N 1.581 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 1.581 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 1.581 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 1.581 * [taylor]: Taking taylor expansion of 0.5 in N 1.581 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.581 * [taylor]: Taking taylor expansion of N in N 1.581 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 1.581 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 1.581 * [taylor]: Taking taylor expansion of 1.0 in N 1.581 * [taylor]: Taking taylor expansion of N in N 1.581 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 1.581 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.581 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.581 * [taylor]: Taking taylor expansion of N in N 1.594 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 1.594 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 1.594 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.594 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.594 * [taylor]: Taking taylor expansion of N in N 1.595 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.595 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.595 * [taylor]: Taking taylor expansion of N in N 1.602 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 1.602 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.602 * [taylor]: Taking taylor expansion of N in N 1.602 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.602 * [taylor]: Taking taylor expansion of N in N 1.606 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 1.606 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.606 * [taylor]: Taking taylor expansion of N in N 1.606 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.606 * [taylor]: Taking taylor expansion of N in N 1.610 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.610 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 1.611 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 1.611 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.611 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.611 * [taylor]: Taking taylor expansion of N in N 1.611 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 1.611 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.611 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.611 * [taylor]: Taking taylor expansion of N in N 1.623 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 1.623 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 1.623 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.623 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.623 * [taylor]: Taking taylor expansion of N in N 1.623 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 1.623 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.623 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.623 * [taylor]: Taking taylor expansion of N in N 1.634 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 1.634 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 1.634 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 1.634 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.634 * [taylor]: Taking taylor expansion of N in N 1.634 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 1.634 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 1.634 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.634 * [taylor]: Taking taylor expansion of N in N 1.646 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 1.646 * [approximate]: Taking taylor expansion of (/ 1 (pow N 3)) in (N) around 0 1.646 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 1.646 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.646 * [taylor]: Taking taylor expansion of N in N 1.647 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 1.647 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.647 * [taylor]: Taking taylor expansion of N in N 1.658 * [approximate]: Taking taylor expansion of (pow N 3) in (N) around 0 1.658 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.658 * [taylor]: Taking taylor expansion of N in N 1.658 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.658 * [taylor]: Taking taylor expansion of N in N 1.671 * [approximate]: Taking taylor expansion of (* -1 (pow N 3)) in (N) around 0 1.671 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 1.671 * [taylor]: Taking taylor expansion of -1 in N 1.671 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.671 * [taylor]: Taking taylor expansion of N in N 1.671 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 1.671 * [taylor]: Taking taylor expansion of -1 in N 1.671 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.671 * [taylor]: Taking taylor expansion of N in N 1.683 * * * [progress]: simplifying candidates 1.687 * [simplify]: Simplifying using # : (/ (* (exp (* 0.3333333333333333 (/ 1 (pow N 3)))) (exp (* 1.0 (/ 1 N)))) (exp (* 0.5 (/ 1 (pow N 2))))) (/ (exp (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N)))) (exp (* 0.5 (/ 1 (pow N 2))))) (log (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))) (exp (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))) (* (cbrt (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))) (cbrt (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))))) (cbrt (- (+ (* 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 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))) (sqrt (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))) (sqrt (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))) (- (* (+ (* 0.3333333333333333 N) (* (pow N 3) 1.0)) (pow N 2)) (* (* (pow N 3) N) 0.5)) (* (* (pow N 3) N) (pow N 2)) (- (* (+ (* 0.3333333333333333 N) (* (pow N 3) 1.0)) (pow N 2)) (* (* (pow N 3) N) (* 0.5 1))) (* (* (pow N 3) N) (pow N 2)) (- (* (+ (* 0.3333333333333333 N) (* (pow N 3) (* 1.0 1))) (pow N 2)) (* (* (pow N 3) N) 0.5)) (* (* (pow N 3) N) (pow N 2)) (- (* (+ (* 0.3333333333333333 N) (* (pow N 3) (* 1.0 1))) (pow N 2)) (* (* (pow N 3) N) (* 0.5 1))) (* (* (pow N 3) N) (pow N 2)) (- (* (+ (* (* 0.3333333333333333 1) N) (* (pow N 3) 1.0)) (pow N 2)) (* (* (pow N 3) N) 0.5)) (* (* (pow N 3) N) (pow N 2)) (- (* (+ (* (* 0.3333333333333333 1) N) (* (pow N 3) 1.0)) (pow N 2)) (* (* (pow N 3) N) (* 0.5 1))) (* (* (pow N 3) N) (pow N 2)) (- (* (+ (* (* 0.3333333333333333 1) N) (* (pow N 3) (* 1.0 1))) (pow N 2)) (* (* (pow N 3) N) 0.5)) (* (* (pow N 3) N) (pow N 2)) (- (* (+ (* (* 0.3333333333333333 1) N) (* (pow N 3) (* 1.0 1))) (pow N 2)) (* (* (pow N 3) N) (* 0.5 1))) (* (* (pow N 3) N) (pow N 2)) (- (* (+ (pow (* 0.3333333333333333 (/ 1 (pow N 3))) 3) (pow (* 1.0 (/ 1 N)) 3)) (pow N 2)) (* (+ (* (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.3333333333333333 (/ 1 (pow N 3)))) (- (* (* 1.0 (/ 1 N)) (* 1.0 (/ 1 N))) (* (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))))) 0.5)) (* (+ (* (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.3333333333333333 (/ 1 (pow N 3)))) (- (* (* 1.0 (/ 1 N)) (* 1.0 (/ 1 N))) (* (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))))) (pow N 2)) (- (* (+ (pow (* 0.3333333333333333 (/ 1 (pow N 3))) 3) (pow (* 1.0 (/ 1 N)) 3)) (pow N 2)) (* (+ (* (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.3333333333333333 (/ 1 (pow N 3)))) (- (* (* 1.0 (/ 1 N)) (* 1.0 (/ 1 N))) (* (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))))) (* 0.5 1))) (* (+ (* (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.3333333333333333 (/ 1 (pow N 3)))) (- (* (* 1.0 (/ 1 N)) (* 1.0 (/ 1 N))) (* (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))))) (pow N 2)) (- (* (- (* (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* (* 1.0 (/ 1 N)) (* 1.0 (/ 1 N)))) (pow N 2)) (* (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) 0.5)) (* (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (pow N 2)) (- (* (- (* (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* (* 1.0 (/ 1 N)) (* 1.0 (/ 1 N)))) (pow N 2)) (* (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 1))) (* (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (pow N 2)) (- (pow (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) 3) (pow (* 0.5 (/ 1 (pow N 2))) 3)) (+ (* (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N)))) (+ (* (* 0.5 (/ 1 (pow N 2))) (* 0.5 (/ 1 (pow N 2)))) (* (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))))) (- (* 0.5 (/ 1 (pow N 2)))) (- (* (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N)))) (* (* 0.5 (/ 1 (pow N 2))) (* 0.5 (/ 1 (pow N 2))))) (+ (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 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1)) (/ 1 (pow (cbrt N) 2)) (/ 1 (* (fabs N) 1)) (/ 1 (* (fabs N) 1)) 1 (/ 1 (* N N)) (/ 1 N) (/ 1 N) (/ 1 (* N N)) (pow N 2) (/ 1 (* (pow (cbrt N) 4) 1)) (/ 1 N) 1 (/ 1 N) (/ 1 (* (pow (cbrt N) 4) 1)) (/ 1 (* (fabs N) 1)) 1 (/ 1 N) (pow N 2) (pow N 2) (pow N 2) (/ 0.3333333333333333 (pow N 3)) (- (log 0.3333333333333333) (log (pow N 3))) (- (log 0.3333333333333333) (log (pow N 3))) (- (log 0.3333333333333333) (log (pow N 3))) (- (log 0.3333333333333333) (log (pow N 3))) (- (log 0.3333333333333333) (log (pow N 3))) (- (log 0.3333333333333333) (log (pow N 3))) (- (log 0.3333333333333333) (log (pow N 3))) (- (log 0.3333333333333333) (log (pow N 3))) (- (log 0.3333333333333333) (log (pow N 3))) (- (log 0.3333333333333333) (log (pow N 3))) (- (log 0.3333333333333333) (log (pow N 3))) (exp (* 0.3333333333333333 (/ 1 (pow N 3)))) (pow (/ 0.3333333333333333 (pow N 3)) 3) (pow (/ 0.3333333333333333 (pow N 3)) 3) (* (cbrt (* 0.3333333333333333 (/ 1 (pow N 3)))) (cbrt (* 0.3333333333333333 (/ 1 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0.3333333333333333) (pow N 3/2)) (/ 0.3333333333333333 (pow N 2)) (* 0.3333333333333333 (sqrt (/ 1 (pow N 3)))) (/ 0.3333333333333333 (pow N 2)) (/ 0.3333333333333333 (pow N 3/2)) 0.3333333333333333 (/ 0.3333333333333333 (pow N 2)) (/ 0.3333333333333333 (pow N 2)) (/ 0.3333333333333333 (pow N 2)) (/ 0.3333333333333333 (pow N 3/2)) 0.3333333333333333 (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) 0.3333333333333333 (/ 0.3333333333333333 (pow N 3/2)) (/ 0.3333333333333333 (pow N 2)) (/ 0.3333333333333333 (pow N 3/2)) 0.3333333333333333 (/ 0.3333333333333333 (pow N 2)) (/ 0.3333333333333333 (pow N 2)) (/ 0.3333333333333333 (pow N 2)) (/ 0.3333333333333333 (pow N 3/2)) 0.3333333333333333 (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) 0.3333333333333333 (/ 0.3333333333333333 (pow N 3/2)) (/ 0.3333333333333333 (pow N 2)) (/ 0.3333333333333333 (pow N 3/2)) 0.3333333333333333 (/ 0.3333333333333333 (pow N 2)) (/ 0.3333333333333333 (pow N 2)) (/ 0.3333333333333333 (pow N 2)) (/ 0.3333333333333333 (pow N 3/2)) 0.3333333333333333 (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) 0.3333333333333333 (/ 0.3333333333333333 (pow N 3/2)) 0.3333333333333333 0.3333333333333333 (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ 0.3333333333333333 (pow N 3)) 0.3333333333333333 (- 3) (log (/ 1 (pow N 3))) (log (/ 1 (pow N 3))) (log (/ 1 (pow N 3))) (log (/ 1 (pow N 3))) (log (/ 1 (pow N 3))) (log (/ 1 (pow N 3))) (log (/ 1 (pow N 3))) (log (/ 1 (pow N 3))) (log (/ 1 (pow N 3))) (log (/ 1 (pow N 3))) (exp (/ 1 (pow N 3))) (/ 1 (pow (pow N 3) 3)) (/ 1 (* N N)) (/ 1 N) (/ 1 (pow (pow N 3) 3)) (sqrt (/ 1 (pow N 3))) (sqrt (/ 1 (pow N 3))) (- 1) (- (pow N 3)) (/ 1 (* N N)) (/ 1 N) (/ 1 (pow N 3/2)) (/ 1 (pow N 3/2)) 1 (/ 1 (pow N 3)) (/ 1 (* N N)) (/ 1 N) (/ 1 (* N N)) (/ 1 N) (/ 1 (* N N)) (/ 1 N) (/ 1 (pow N 3/2)) (/ 1 (pow N 3/2)) 1 (/ 1 (pow N 3)) (/ 1 N) (/ 1 (* N N)) (/ 1 (sqrt (pow N 3))) (/ 1 (sqrt (pow N 3))) 1 (/ 1 (pow N 3)) (/ 1 (pow N 3/2)) (/ 1 (pow N 3/2)) (/ 1 (* N N)) (/ 1 N) (/ 1 (pow N 3/2)) (/ 1 (pow N 3/2)) 1 (/ 1 (pow N 3)) (/ 1 (* N N)) (/ 1 N) (/ 1 (* N N)) (/ 1 N) (/ 1 (* N N)) (/ 1 N) (/ 1 (pow N 3/2)) (/ 1 (pow N 3/2)) 1 (/ 1 (pow N 3)) (/ 1 N) (/ 1 (* N N)) (/ 1 (sqrt (pow N 3))) (/ 1 (sqrt (pow N 3))) 1 (/ 1 (pow N 3)) (/ 1 (pow N 3/2)) (/ 1 (pow N 3/2)) (/ 1 (* N N)) (/ 1 N) (/ 1 (pow N 3/2)) (/ 1 (pow N 3/2)) 1 (/ 1 (pow N 3)) (/ 1 (* N N)) (/ 1 N) (/ 1 (* N N)) (/ 1 N) (/ 1 (* N N)) (/ 1 N) (/ 1 (pow N 3/2)) (/ 1 (pow N 3/2)) 1 (/ 1 (pow N 3)) (/ 1 N) (/ 1 (* N N)) (/ 1 (sqrt (pow N 3))) (/ 1 (sqrt (pow N 3))) 1 (/ 1 (pow N 3)) (/ 1 (pow N 3/2)) (/ 1 (pow N 3/2)) (/ 1 (pow N 3)) (pow N 3) (/ 1 (* N N)) (/ 1 (pow N 3/2)) 1 (/ 1 (* N N)) (/ 1 (* N N)) (/ 1 (* N N)) (/ 1 (pow N 3/2)) 1 (/ 1 N) (/ 1 (sqrt (pow N 3))) 1 (/ 1 (pow N 3/2)) (pow N 3) (pow N 3) (pow N 3) (+ (/ 1.0 N) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 0.5) (pow N 2)))) (+ (/ 1.0 N) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 0.5) (pow N 2)))) (+ (/ 1.0 N) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 0.5) (pow N 2)))) (/ 1 (* N N)) (/ 1 (* N N)) (/ 1 (* N N)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N 3)) (/ 1 (pow N 3)) (/ 1 (pow N 3)) 1.796 * * * [progress]: adding candidates to table 2.121 * [progress]: [Phase 3 of 3] Extracting. 2.121 * * [regime]: Finding splitpoints for: (# #) 2.121 * * * [regime-changes]: Trying 1 branch expressions: (N) 2.121 * * * * [regimes]: Trying to branch on N from (# #) 2.136 * * * [regime]: Found split indices: #