13.554 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.060 * * * [progress]: [2/2] Setting up program. 0.062 * [progress]: [Phase 2 of 3] Improving. 0.063 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.065 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.066 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.067 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.067 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.068 * * [progress]: iteration 1 / 4 0.068 * * * [progress]: picking best candidate 0.069 * * * * [pick]: Picked # 0.069 * * * [progress]: localizing error 0.076 * * * [progress]: generating rewritten candidates 0.076 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.079 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.086 * * * [progress]: generating series expansions 0.086 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.086 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.086 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.087 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.087 * [taylor]: Taking taylor expansion of N in N 0.087 * [taylor]: Taking taylor expansion of 1.0 in N 0.087 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.087 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.087 * [taylor]: Taking taylor expansion of N in N 0.087 * [taylor]: Taking taylor expansion of 1.0 in N 0.103 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.103 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.103 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.103 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.103 * [taylor]: Taking taylor expansion of N in N 0.103 * [taylor]: Taking taylor expansion of 1.0 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 0.116 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.116 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.116 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.116 * [taylor]: Taking taylor expansion of 1.0 in N 0.116 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.116 * [taylor]: Taking taylor expansion of N in N 0.117 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.117 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.117 * [taylor]: Taking taylor expansion of 1.0 in N 0.117 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.117 * [taylor]: Taking taylor expansion of N in N 0.131 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.131 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.131 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.131 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.131 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.131 * [taylor]: Taking taylor expansion of N in N 0.131 * [taylor]: Taking taylor expansion of 1.0 in N 0.132 * [taylor]: Taking taylor expansion of (log N) in N 0.132 * [taylor]: Taking taylor expansion of N in N 0.132 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.132 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.132 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.132 * [taylor]: Taking taylor expansion of N in N 0.132 * [taylor]: Taking taylor expansion of 1.0 in N 0.133 * [taylor]: Taking taylor expansion of (log N) in N 0.133 * [taylor]: Taking taylor expansion of N in N 0.150 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.150 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.150 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.150 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.150 * [taylor]: Taking taylor expansion of N in N 0.151 * [taylor]: Taking taylor expansion of 1.0 in N 0.151 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.151 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.151 * [taylor]: Taking taylor expansion of N in N 0.152 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.152 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.152 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.152 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.152 * [taylor]: Taking taylor expansion of N in N 0.152 * [taylor]: Taking taylor expansion of 1.0 in N 0.152 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.152 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.152 * [taylor]: Taking taylor expansion of N in N 0.187 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.187 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.187 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.187 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.187 * [taylor]: Taking taylor expansion of 1.0 in N 0.187 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.187 * [taylor]: Taking taylor expansion of N in N 0.188 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.188 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.188 * [taylor]: Taking taylor expansion of -1 in N 0.188 * [taylor]: Taking taylor expansion of N in N 0.189 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.189 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.189 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.189 * [taylor]: Taking taylor expansion of 1.0 in N 0.189 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.189 * [taylor]: Taking taylor expansion of N in N 0.190 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.190 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.190 * [taylor]: Taking taylor expansion of -1 in N 0.190 * [taylor]: Taking taylor expansion of N in N 0.223 * * * [progress]: simplifying candidates 0.224 * [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)))) 0.228 * * [simplify]: iteration 0 : 212 enodes (cost 281 ) 0.232 * * [simplify]: iteration 1 : 547 enodes (cost 264 ) 0.240 * * [simplify]: iteration 2 : 1874 enodes (cost 250 ) 0.275 * * [simplify]: iteration 3 : 5001 enodes (cost 247 ) 0.277 * [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)) 0.277 * * * [progress]: adding candidates to table 0.362 * * [progress]: iteration 2 / 4 0.362 * * * [progress]: picking best candidate 0.371 * * * * [pick]: Picked # 0.371 * * * [progress]: localizing error 0.375 * * * [progress]: generating rewritten candidates 0.375 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.380 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.387 * * * [progress]: generating series expansions 0.387 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.387 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.387 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.387 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.387 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.387 * [taylor]: Taking taylor expansion of N in N 0.387 * [taylor]: Taking taylor expansion of 1.0 in N 0.387 * [taylor]: Taking taylor expansion of N in N 0.388 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.389 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.389 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.389 * [taylor]: Taking taylor expansion of N in N 0.389 * [taylor]: Taking taylor expansion of 1.0 in N 0.389 * [taylor]: Taking taylor expansion of N in N 0.402 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.402 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.402 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.402 * [taylor]: Taking taylor expansion of N in N 0.402 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.402 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.402 * [taylor]: Taking taylor expansion of N in N 0.403 * [taylor]: Taking taylor expansion of 1.0 in N 0.404 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.404 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.404 * [taylor]: Taking taylor expansion of N in N 0.404 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.404 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.404 * [taylor]: Taking taylor expansion of N in N 0.405 * [taylor]: Taking taylor expansion of 1.0 in N 0.430 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.431 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.431 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.431 * [taylor]: Taking taylor expansion of -1 in N 0.431 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.431 * [taylor]: Taking taylor expansion of N in N 0.431 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.431 * [taylor]: Taking taylor expansion of 1.0 in N 0.431 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.431 * [taylor]: Taking taylor expansion of N in N 0.434 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.434 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.434 * [taylor]: Taking taylor expansion of -1 in N 0.434 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.434 * [taylor]: Taking taylor expansion of N in N 0.434 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.434 * [taylor]: Taking taylor expansion of 1.0 in N 0.434 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.434 * [taylor]: Taking taylor expansion of N in N 0.472 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.472 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.472 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.472 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.472 * [taylor]: Taking taylor expansion of N in N 0.472 * [taylor]: Taking taylor expansion of 1.0 in N 0.472 * [taylor]: Taking taylor expansion of N in N 0.473 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.473 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.473 * [taylor]: Taking taylor expansion of N in N 0.473 * [taylor]: Taking taylor expansion of 1.0 in N 0.473 * [taylor]: Taking taylor expansion of N in N 0.480 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.480 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.480 * [taylor]: Taking taylor expansion of N in N 0.480 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.480 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.480 * [taylor]: Taking taylor expansion of N in N 0.480 * [taylor]: Taking taylor expansion of 1.0 in N 0.480 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.480 * [taylor]: Taking taylor expansion of N in N 0.480 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.480 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.480 * [taylor]: Taking taylor expansion of N in N 0.480 * [taylor]: Taking taylor expansion of 1.0 in N 0.494 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.494 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.494 * [taylor]: Taking taylor expansion of -1 in N 0.494 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.494 * [taylor]: Taking taylor expansion of N in N 0.494 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.494 * [taylor]: Taking taylor expansion of 1.0 in N 0.494 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.494 * [taylor]: Taking taylor expansion of N in N 0.494 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.494 * [taylor]: Taking taylor expansion of -1 in N 0.494 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.494 * [taylor]: Taking taylor expansion of N in N 0.494 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.494 * [taylor]: Taking taylor expansion of 1.0 in N 0.494 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.494 * [taylor]: Taking taylor expansion of N in N 0.517 * * * [progress]: simplifying candidates 0.518 * [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) 0.523 * * [simplify]: iteration 0 : 233 enodes (cost 373 ) 0.527 * * [simplify]: iteration 1 : 773 enodes (cost 351 ) 0.542 * * [simplify]: iteration 2 : 3489 enodes (cost 339 ) 0.617 * * [simplify]: iteration 3 : 5002 enodes (cost 339 ) 0.620 * [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) 0.620 * * * [progress]: adding candidates to table 0.707 * * [progress]: iteration 3 / 4 0.707 * * * [progress]: picking best candidate 0.712 * * * * [pick]: Picked # 0.713 * * * [progress]: localizing error 0.720 * * * [progress]: generating rewritten candidates 0.720 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.725 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.731 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.735 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.744 * * * [progress]: generating series expansions 0.744 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.744 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 0.744 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.744 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.744 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.744 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.744 * [taylor]: Taking taylor expansion of N in N 0.744 * [taylor]: Taking taylor expansion of 1.0 in N 0.744 * [taylor]: Taking taylor expansion of N in N 0.747 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.747 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.747 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.747 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.747 * [taylor]: Taking taylor expansion of N in N 0.747 * [taylor]: Taking taylor expansion of 1.0 in N 0.747 * [taylor]: Taking taylor expansion of N in N 0.766 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 0.766 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.766 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.766 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.766 * [taylor]: Taking taylor expansion of N in N 0.766 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.766 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.766 * [taylor]: Taking taylor expansion of N in N 0.766 * [taylor]: Taking taylor expansion of 1.0 in N 0.776 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.776 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.777 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.777 * [taylor]: Taking taylor expansion of N in N 0.777 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.777 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.777 * [taylor]: Taking taylor expansion of N in N 0.777 * [taylor]: Taking taylor expansion of 1.0 in N 0.813 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 0.813 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) 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 (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) 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 0.870 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.870 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 0.870 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.870 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.870 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.870 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.870 * [taylor]: Taking taylor expansion of N in N 0.870 * [taylor]: Taking taylor expansion of 1.0 in N 0.870 * [taylor]: Taking taylor expansion of N in N 0.872 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.872 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.872 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.872 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.872 * [taylor]: Taking taylor expansion of N in N 0.872 * [taylor]: Taking taylor expansion of 1.0 in N 0.872 * [taylor]: Taking taylor expansion of N in N 0.892 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 0.892 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.892 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.892 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.892 * [taylor]: Taking taylor expansion of N in N 0.892 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.892 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.892 * [taylor]: Taking taylor expansion of N in N 0.892 * [taylor]: Taking taylor expansion of 1.0 in N 0.897 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.897 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.897 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.897 * [taylor]: Taking taylor expansion of N in N 0.897 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.897 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.897 * [taylor]: Taking taylor expansion of N in N 0.897 * [taylor]: Taking taylor expansion of 1.0 in N 0.942 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 0.942 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.942 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.942 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.942 * [taylor]: Taking taylor expansion of -1 in N 0.942 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.942 * [taylor]: Taking taylor expansion of N in N 0.942 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.942 * [taylor]: Taking taylor expansion of 1.0 in N 0.942 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.942 * [taylor]: Taking taylor expansion of N in N 0.950 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.950 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.950 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.950 * [taylor]: Taking taylor expansion of -1 in N 0.950 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.950 * [taylor]: Taking taylor expansion of N in N 0.950 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.950 * [taylor]: Taking taylor expansion of 1.0 in N 0.950 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.950 * [taylor]: Taking taylor expansion of N in N 0.992 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.992 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 0.992 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.992 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.992 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.992 * [taylor]: Taking taylor expansion of N in N 0.992 * [taylor]: Taking taylor expansion of 1.0 in N 0.992 * [taylor]: Taking taylor expansion of N in N 0.994 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.994 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.994 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.994 * [taylor]: Taking taylor expansion of N in N 0.994 * [taylor]: Taking taylor expansion of 1.0 in N 0.994 * [taylor]: Taking taylor expansion of N in N 1.002 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.002 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.002 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.002 * [taylor]: Taking taylor expansion of N in N 1.002 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.002 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.002 * [taylor]: Taking taylor expansion of N in N 1.002 * [taylor]: Taking taylor expansion of 1.0 in N 1.007 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.007 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.007 * [taylor]: Taking taylor expansion of N in N 1.007 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.007 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.007 * [taylor]: Taking taylor expansion of N in N 1.007 * [taylor]: Taking taylor expansion of 1.0 in N 1.021 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.021 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.022 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.022 * [taylor]: Taking taylor expansion of -1 in N 1.022 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.022 * [taylor]: Taking taylor expansion of N in N 1.022 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.022 * [taylor]: Taking taylor expansion of 1.0 in N 1.022 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.022 * [taylor]: Taking taylor expansion of N in N 1.029 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.029 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.030 * [taylor]: Taking taylor expansion of -1 in N 1.030 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.030 * [taylor]: Taking taylor expansion of N in N 1.030 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.030 * [taylor]: Taking taylor expansion of 1.0 in N 1.030 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.030 * [taylor]: Taking taylor expansion of N in N 1.042 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.042 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 1.042 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.042 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.042 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.042 * [taylor]: Taking taylor expansion of N in N 1.042 * [taylor]: Taking taylor expansion of 1.0 in N 1.042 * [taylor]: Taking taylor expansion of N in N 1.044 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.044 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.044 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.044 * [taylor]: Taking taylor expansion of N in N 1.044 * [taylor]: Taking taylor expansion of 1.0 in N 1.045 * [taylor]: Taking taylor expansion of N in N 1.052 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.052 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.052 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.052 * [taylor]: Taking taylor expansion of N in N 1.052 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.052 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.052 * [taylor]: Taking taylor expansion of N in N 1.052 * [taylor]: Taking taylor expansion of 1.0 in N 1.057 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.057 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.057 * [taylor]: Taking taylor expansion of N in N 1.057 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.057 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.057 * [taylor]: Taking taylor expansion of N in N 1.057 * [taylor]: Taking taylor expansion of 1.0 in N 1.066 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.066 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.066 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.066 * [taylor]: Taking taylor expansion of -1 in N 1.066 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.066 * [taylor]: Taking taylor expansion of N in N 1.066 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.066 * [taylor]: Taking taylor expansion of 1.0 in N 1.066 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.066 * [taylor]: Taking taylor expansion of N in N 1.076 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.076 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.076 * [taylor]: Taking taylor expansion of -1 in N 1.076 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.076 * [taylor]: Taking taylor expansion of N in N 1.076 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.076 * [taylor]: Taking taylor expansion of 1.0 in N 1.076 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.076 * [taylor]: Taking taylor expansion of N in N 1.088 * * * [progress]: simplifying candidates 1.090 * [simplify]: Simplifying using # : (log (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (sqrt (/ (cbrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) 1))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt 1)) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log 1) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt N)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (/ (+ N 1.0) N)))) (exp (log (sqrt (/ (+ N 1.0) N)))) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (* (* (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (log (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (sqrt (/ (cbrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) 1))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt 1)) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log 1) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt N)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (/ (+ N 1.0) N)))) (exp (log (sqrt (/ (+ N 1.0) N)))) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (* (* (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (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))) (* (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))) (sqrt (/ (+ N 1.0) N))) (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (sqrt (cbrt (/ (+ 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))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (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)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ N 1.0) N)) (sqrt 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))) (* (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))) (sqrt (/ (+ N 1.0) N))) (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (sqrt (cbrt (/ (+ 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))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (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)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ N 1.0) N)) (sqrt 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 +nan.0) (+ (* +nan.0 (pow N 2)) (- (* +nan.0 N)))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) (- (log +nan.0) (+ (* +nan.0 (pow N 2)) (- (* +nan.0 N)))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 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)))) (- (+ (* +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)))) 1.096 * * [simplify]: iteration 0 : 196 enodes (cost 964 ) 1.100 * * [simplify]: iteration 1 : 456 enodes (cost 908 ) 1.109 * * [simplify]: iteration 2 : 1761 enodes (cost 868 ) 1.148 * * [simplify]: iteration 3 : 5002 enodes (cost 860 ) 1.160 * [simplify]: Simplified to: (* 2 (log (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (sqrt (/ (cbrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) 1))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) 0 (log (sqrt (/ (+ N 1.0) N))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (pow N 1/2)) (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)) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (pow (log (sqrt (/ (+ N 1.0) N))) 3) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (* 2 (log (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (sqrt (/ (cbrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) 1))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) 0 (log (sqrt (/ (+ N 1.0) N))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (pow N 1/2)) (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)) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (pow (log (sqrt (/ (+ N 1.0) N))) 3) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (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))) (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 +nan.0) (* +nan.0 (pow N 2))) (* +nan.0 N)) (+ (* (/ 1 (pow N 2)) (- (/ 0.16666666666666666 N) 0.25)) (/ 0.5 N)) (+ (* (/ 1 (pow N 2)) (- (/ 0.16666666666666666 N) 0.25)) (/ 0.5 N)) (+ (- (log +nan.0) (* +nan.0 (pow N 2))) (* +nan.0 N)) (+ (* (/ 1 (pow N 2)) (- (/ 0.16666666666666666 N) 0.25)) (/ 0.5 N)) (+ (* (/ 1 (pow N 2)) (- (/ 0.16666666666666666 N) 0.25)) (/ 0.5 N)) (- (* (- +nan.0) (- (pow N 2) N)) +nan.0) (+ (* (/ 1 N) (- 0.5 (/ 0.125 N))) 1) (+ (* (/ 1 N) (- 0.5 (/ 0.125 N))) 1) (- (* (- +nan.0) (- (pow N 2) N)) +nan.0) (+ (* (/ 1 N) (- 0.5 (/ 0.125 N))) 1) (+ (* (/ 1 N) (- 0.5 (/ 0.125 N))) 1) 1.161 * * * [progress]: adding candidates to table 1.414 * * [progress]: iteration 4 / 4 1.414 * * * [progress]: picking best candidate 1.420 * * * * [pick]: Picked # 1.420 * * * [progress]: localizing error 1.431 * * * [progress]: generating rewritten candidates 1.431 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.441 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.448 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.453 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1) 1.463 * * * [progress]: generating series expansions 1.463 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.464 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in (N) around 0 1.464 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in N 1.464 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in N 1.464 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (+ N 1.0) N)))) in N 1.464 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (+ N 1.0) N))) in N 1.464 * [taylor]: Taking taylor expansion of 1/4 in N 1.464 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.464 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.464 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.464 * [taylor]: Taking taylor expansion of N in N 1.464 * [taylor]: Taking taylor expansion of 1.0 in N 1.464 * [taylor]: Taking taylor expansion of N in N 1.467 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in N 1.467 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in N 1.467 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (+ N 1.0) N)))) in N 1.467 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (+ N 1.0) N))) in N 1.467 * [taylor]: Taking taylor expansion of 1/4 in N 1.467 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.467 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.467 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.467 * [taylor]: Taking taylor expansion of N in N 1.467 * [taylor]: Taking taylor expansion of 1.0 in N 1.467 * [taylor]: Taking taylor expansion of N in N 1.497 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in (N) around 0 1.497 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in N 1.497 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in N 1.497 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* N (+ (/ 1 N) 1.0))))) in N 1.497 * [taylor]: Taking taylor expansion of (* 1/4 (log (* N (+ (/ 1 N) 1.0)))) in N 1.497 * [taylor]: Taking taylor expansion of 1/4 in N 1.497 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.497 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.497 * [taylor]: Taking taylor expansion of N in N 1.497 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.497 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.497 * [taylor]: Taking taylor expansion of N in N 1.497 * [taylor]: Taking taylor expansion of 1.0 in N 1.506 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in N 1.506 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in N 1.506 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* N (+ (/ 1 N) 1.0))))) in N 1.506 * [taylor]: Taking taylor expansion of (* 1/4 (log (* N (+ (/ 1 N) 1.0)))) in N 1.506 * [taylor]: Taking taylor expansion of 1/4 in N 1.506 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.506 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.506 * [taylor]: Taking taylor expansion of N in N 1.506 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.506 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.506 * [taylor]: Taking taylor expansion of N in N 1.507 * [taylor]: Taking taylor expansion of 1.0 in N 1.580 * [approximate]: Taking taylor expansion of (log (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N))))))) in (N) around 0 1.580 * [taylor]: Taking taylor expansion of (log (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N))))))) in N 1.580 * [taylor]: Taking taylor expansion of (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.580 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.580 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.580 * [taylor]: Taking taylor expansion of -1 in N 1.580 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.580 * [taylor]: Taking taylor expansion of N in N 1.580 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.580 * [taylor]: Taking taylor expansion of 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 1.589 * [taylor]: Taking taylor expansion of (log (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N))))))) in N 1.589 * [taylor]: Taking taylor expansion of (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.589 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.589 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.589 * [taylor]: Taking taylor expansion of -1 in N 1.589 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.590 * [taylor]: Taking taylor expansion of N in N 1.590 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.590 * [taylor]: Taking taylor expansion of 1.0 in N 1.590 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.590 * [taylor]: Taking taylor expansion of N in N 1.644 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.644 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in (N) around 0 1.644 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in N 1.644 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in N 1.644 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (+ N 1.0) N)))) in N 1.644 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (+ N 1.0) N))) in N 1.644 * [taylor]: Taking taylor expansion of 1/4 in N 1.644 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.644 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.644 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.644 * [taylor]: Taking taylor expansion of N in N 1.644 * [taylor]: Taking taylor expansion of 1.0 in N 1.644 * [taylor]: Taking taylor expansion of N in N 1.646 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in N 1.646 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in N 1.646 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (+ N 1.0) N)))) in N 1.646 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (+ N 1.0) N))) in N 1.646 * [taylor]: Taking taylor expansion of 1/4 in N 1.646 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.646 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.646 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.646 * [taylor]: Taking taylor expansion of N in N 1.646 * [taylor]: Taking taylor expansion of 1.0 in N 1.646 * [taylor]: Taking taylor expansion of N in N 1.676 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in (N) around 0 1.676 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in N 1.676 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in N 1.676 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* N (+ (/ 1 N) 1.0))))) in N 1.676 * [taylor]: Taking taylor expansion of (* 1/4 (log (* N (+ (/ 1 N) 1.0)))) in N 1.676 * [taylor]: Taking taylor expansion of 1/4 in N 1.677 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.677 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.677 * [taylor]: Taking taylor expansion of N in N 1.677 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.677 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.677 * [taylor]: Taking taylor expansion of N in N 1.677 * [taylor]: Taking taylor expansion of 1.0 in N 1.693 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in N 1.693 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in N 1.693 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* N (+ (/ 1 N) 1.0))))) in N 1.693 * [taylor]: Taking taylor expansion of (* 1/4 (log (* N (+ (/ 1 N) 1.0)))) in N 1.693 * [taylor]: Taking taylor expansion of 1/4 in N 1.693 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.693 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.693 * [taylor]: Taking taylor expansion of N in N 1.693 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.693 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.693 * [taylor]: Taking taylor expansion of N in N 1.693 * [taylor]: Taking taylor expansion of 1.0 in N 1.770 * [approximate]: Taking taylor expansion of (log (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N))))))) in (N) around 0 1.770 * [taylor]: Taking taylor expansion of (log (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N))))))) in N 1.770 * [taylor]: Taking taylor expansion of (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.770 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.770 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.770 * [taylor]: Taking taylor expansion of -1 in N 1.770 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.770 * [taylor]: Taking taylor expansion of N in N 1.770 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.770 * [taylor]: Taking taylor expansion of 1.0 in N 1.770 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.770 * [taylor]: Taking taylor expansion of N in N 1.780 * [taylor]: Taking taylor expansion of (log (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N))))))) in N 1.780 * [taylor]: Taking taylor expansion of (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.780 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.780 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.780 * [taylor]: Taking taylor expansion of -1 in N 1.780 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.780 * [taylor]: Taking taylor expansion of N in N 1.780 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.780 * [taylor]: Taking taylor expansion of 1.0 in N 1.780 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.780 * [taylor]: Taking taylor expansion of N in N 1.827 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.828 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 1.828 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 1.828 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.828 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.828 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.828 * [taylor]: Taking taylor expansion of N in N 1.828 * [taylor]: Taking taylor expansion of 1.0 in N 1.828 * [taylor]: Taking taylor expansion of N in N 1.830 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 1.830 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.830 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.830 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.830 * [taylor]: Taking taylor expansion of N in N 1.830 * [taylor]: Taking taylor expansion of 1.0 in N 1.830 * [taylor]: Taking taylor expansion of N in N 1.856 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 1.856 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 1.856 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.856 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.856 * [taylor]: Taking taylor expansion of N in N 1.856 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.856 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.856 * [taylor]: Taking taylor expansion of N in N 1.857 * [taylor]: Taking taylor expansion of 1.0 in N 1.862 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 1.862 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.862 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.862 * [taylor]: Taking taylor expansion of N in N 1.862 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.862 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.862 * [taylor]: Taking taylor expansion of N in N 1.863 * [taylor]: Taking taylor expansion of 1.0 in N 1.901 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 1.901 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.901 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.901 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.901 * [taylor]: Taking taylor expansion of -1 in N 1.901 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.901 * [taylor]: Taking taylor expansion of N in N 1.901 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.901 * [taylor]: Taking taylor expansion of 1.0 in N 1.901 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.901 * [taylor]: Taking taylor expansion of N in N 1.909 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.909 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.909 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.909 * [taylor]: Taking taylor expansion of -1 in N 1.909 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.909 * [taylor]: Taking taylor expansion of N in N 1.909 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.909 * [taylor]: Taking taylor expansion of 1.0 in N 1.909 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.909 * [taylor]: Taking taylor expansion of N in N 1.959 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1) 1.960 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 1.960 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.960 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.960 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.960 * [taylor]: Taking taylor expansion of N in N 1.960 * [taylor]: Taking taylor expansion of 1.0 in N 1.960 * [taylor]: Taking taylor expansion of N in N 1.961 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.961 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.961 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.961 * [taylor]: Taking taylor expansion of N in N 1.961 * [taylor]: Taking taylor expansion of 1.0 in N 1.961 * [taylor]: Taking taylor expansion of N in N 1.969 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.969 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.969 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.969 * [taylor]: Taking taylor expansion of N in N 1.969 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.969 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.969 * [taylor]: Taking taylor expansion of N in N 1.970 * [taylor]: Taking taylor expansion of 1.0 in N 1.974 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.974 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.974 * [taylor]: Taking taylor expansion of N in N 1.974 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.974 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.974 * [taylor]: Taking taylor expansion of N in N 1.975 * [taylor]: Taking taylor expansion of 1.0 in N 1.983 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.983 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.983 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.983 * [taylor]: Taking taylor expansion of -1 in N 1.983 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.983 * [taylor]: Taking taylor expansion of N in N 1.983 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.983 * [taylor]: Taking taylor expansion of 1.0 in N 1.983 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.983 * [taylor]: Taking taylor expansion of N in N 1.991 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.991 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.991 * [taylor]: Taking taylor expansion of -1 in N 1.991 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.991 * [taylor]: Taking taylor expansion of N in N 1.991 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.991 * [taylor]: Taking taylor expansion of 1.0 in N 1.991 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.991 * [taylor]: Taking taylor expansion of N in N 2.003 * * * [progress]: simplifying candidates 2.005 * [simplify]: Simplifying using # : (log (* (cbrt (sqrt (sqrt (/ (+ N 1.0) N)))) (cbrt (sqrt (sqrt (/ (+ N 1.0) N)))))) (log (cbrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))))) (log (sqrt (cbrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))))) (log (sqrt (sqrt (cbrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (sqrt (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))))) (log (sqrt (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) N)))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) 1)))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) N)))) (log (sqrt (sqrt (/ 1 (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (+ N 1.0) (cbrt N))))) (log (sqrt (sqrt (/ 1 (sqrt N))))) (log (sqrt (sqrt (/ (+ N 1.0) (sqrt N))))) (log (sqrt (sqrt (/ 1 1)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ 1 (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (+ N 1.0) (cbrt N))))) (log (sqrt (sqrt (/ 1 (sqrt N))))) (log (sqrt (sqrt (/ (+ N 1.0) (sqrt N))))) (log (sqrt (sqrt (/ 1 1)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt 1))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (/ 1 N)))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt 1)) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log 1) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (sqrt (/ (+ N 1.0) N))))) (exp (log (sqrt (sqrt (/ (+ N 1.0) N))))) (* (cbrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (sqrt (/ (+ N 1.0) N)))))) (cbrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (* (* (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (/ (+ N 1.0) N))))) (sqrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (sqrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (log (* (cbrt (sqrt (sqrt (/ (+ N 1.0) N)))) (cbrt (sqrt (sqrt (/ (+ N 1.0) N)))))) (log (cbrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))))) (log (sqrt (cbrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))))) (log (sqrt (sqrt (cbrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (sqrt (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))))) (log (sqrt (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) N)))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) 1)))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) N)))) (log (sqrt (sqrt (/ 1 (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (+ N 1.0) (cbrt N))))) (log (sqrt (sqrt (/ 1 (sqrt N))))) (log (sqrt (sqrt (/ (+ N 1.0) (sqrt N))))) (log (sqrt (sqrt (/ 1 1)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ 1 (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (+ N 1.0) (cbrt N))))) (log (sqrt (sqrt (/ 1 (sqrt N))))) (log (sqrt (sqrt (/ (+ N 1.0) (sqrt N))))) (log (sqrt (sqrt (/ 1 1)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt 1))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (/ 1 N)))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt 1)) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log 1) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (sqrt (/ (+ N 1.0) N))))) (exp (log (sqrt (sqrt (/ (+ N 1.0) N))))) (* (cbrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (sqrt (/ (+ N 1.0) N)))))) (cbrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (* (* (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (/ (+ N 1.0) N))))) (sqrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (sqrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (log (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (sqrt (/ (cbrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) 1))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt 1)) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log 1) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt N)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (/ (+ N 1.0) N)))) (exp (log (sqrt (/ (+ N 1.0) N)))) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (* (* (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt 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2.442 * [progress]: [Phase 3 of 3] Extracting. 2.442 * * [regime]: Finding splitpoints for: (# # #) 2.443 * * * [regime-changes]: Trying 1 branch expressions: (N) 2.443 * * * * [regimes]: Trying to branch on N from (# # #) 2.460 * * * [regime]: Found split indices: #