5.215 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.042 * * * [progress]: [2/2] Setting up program. 0.043 * [progress]: [Phase 2 of 3] Improving. 0.044 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.049 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.050 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.051 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.051 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.051 * * [progress]: iteration 1 / 4 0.051 * * * [progress]: picking best candidate 0.053 * * * * [pick]: Picked # 0.053 * * * [progress]: localizing error 0.060 * * * [progress]: generating rewritten candidates 0.060 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.066 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.070 * * * [progress]: generating series expansions 0.070 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.070 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.070 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.070 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.070 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.070 * [taylor]: Taking taylor expansion of N in N 0.070 * [taylor]: Taking taylor expansion of 1.0 in N 0.071 * [taylor]: Taking taylor expansion of (log N) in N 0.071 * [taylor]: Taking taylor expansion of N in N 0.071 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.071 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.071 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.071 * [taylor]: Taking taylor expansion of N in N 0.071 * [taylor]: Taking taylor expansion of 1.0 in N 0.072 * [taylor]: Taking taylor expansion of (log N) in N 0.072 * [taylor]: Taking taylor expansion of N in N 0.091 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.091 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.091 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.091 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.091 * [taylor]: Taking taylor expansion of N in N 0.092 * [taylor]: Taking taylor expansion of 1.0 in N 0.092 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.092 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.092 * [taylor]: Taking taylor expansion of N in N 0.093 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.093 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.093 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.093 * [taylor]: Taking taylor expansion of N in N 0.093 * [taylor]: Taking taylor expansion of 1.0 in N 0.094 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.094 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.094 * [taylor]: Taking taylor expansion of N in N 0.125 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.125 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.125 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.125 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.125 * [taylor]: Taking taylor expansion of 1.0 in N 0.125 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.125 * [taylor]: Taking taylor expansion of N in N 0.126 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.126 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.126 * [taylor]: Taking taylor expansion of -1 in N 0.126 * [taylor]: Taking taylor expansion of N in N 0.127 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.127 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.127 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.127 * [taylor]: Taking taylor expansion of 1.0 in N 0.127 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.127 * [taylor]: Taking taylor expansion of N in N 0.128 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.128 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.128 * [taylor]: Taking taylor expansion of -1 in N 0.128 * [taylor]: Taking taylor expansion of N in N 0.167 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.168 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.168 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.168 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.168 * [taylor]: Taking taylor expansion of N in N 0.168 * [taylor]: Taking taylor expansion of 1.0 in N 0.168 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.168 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.168 * [taylor]: Taking taylor expansion of N in N 0.168 * [taylor]: Taking taylor expansion of 1.0 in N 0.180 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.180 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.180 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.180 * [taylor]: Taking taylor expansion of N in N 0.181 * [taylor]: Taking taylor expansion of 1.0 in N 0.181 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.181 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.181 * [taylor]: Taking taylor expansion of N in N 0.182 * [taylor]: Taking taylor expansion of 1.0 in N 0.194 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.194 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.194 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.194 * [taylor]: Taking taylor expansion of 1.0 in N 0.194 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.194 * [taylor]: Taking taylor expansion of N in N 0.195 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.195 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.195 * [taylor]: Taking taylor expansion of 1.0 in N 0.195 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.195 * [taylor]: Taking taylor expansion of N in N 0.210 * * * [progress]: simplifying candidates 0.211 * [simplify]: Simplifying using # : (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.214 * * [simplify]: iteration 0 : 212 enodes (cost 281 ) 0.218 * * [simplify]: iteration 1 : 547 enodes (cost 264 ) 0.226 * * [simplify]: iteration 2 : 1875 enodes (cost 250 ) 0.260 * * [simplify]: iteration 3 : 5001 enodes (cost 247 ) 0.261 * [simplify]: Simplified to: (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (+ (log N) (log (+ N 1.0)))) (* (log N) (log N))) (log (/ 1 N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (log (/ 1 N)) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) 0.262 * * * [progress]: adding candidates to table 0.359 * * [progress]: iteration 2 / 4 0.360 * * * [progress]: picking best candidate 0.365 * * * * [pick]: Picked # 0.365 * * * [progress]: localizing error 0.369 * * * [progress]: generating rewritten candidates 0.369 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.373 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.385 * * * [progress]: generating series expansions 0.385 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.385 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.385 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.385 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.385 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.385 * [taylor]: Taking taylor expansion of N in N 0.385 * [taylor]: Taking taylor expansion of 1.0 in N 0.385 * [taylor]: Taking taylor expansion of N in N 0.387 * [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 0.401 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.401 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.401 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.401 * [taylor]: Taking taylor expansion of N in N 0.401 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.401 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.401 * [taylor]: Taking taylor expansion of N in N 0.402 * [taylor]: Taking taylor expansion of 1.0 in N 0.403 * [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 0.404 * [taylor]: Taking taylor expansion of 1.0 in N 0.431 * [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 0.435 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.435 * [taylor]: Taking taylor expansion of -1 in N 0.435 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.435 * [taylor]: Taking taylor expansion of N in N 0.435 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.435 * [taylor]: Taking taylor expansion of 1.0 in N 0.435 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.435 * [taylor]: Taking taylor expansion of N in N 0.474 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.475 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.475 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.475 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.475 * [taylor]: Taking taylor expansion of N in N 0.475 * [taylor]: Taking taylor expansion of 1.0 in N 0.475 * [taylor]: Taking taylor expansion of N in N 0.475 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.475 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.475 * [taylor]: Taking taylor expansion of N in N 0.475 * [taylor]: Taking taylor expansion of 1.0 in N 0.475 * [taylor]: Taking taylor expansion of N in N 0.482 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.482 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.482 * [taylor]: Taking taylor expansion of N in N 0.482 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.482 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.482 * [taylor]: Taking taylor expansion of N in N 0.483 * [taylor]: Taking taylor expansion of 1.0 in N 0.483 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.483 * [taylor]: Taking taylor expansion of N in N 0.483 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.483 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.483 * [taylor]: Taking taylor expansion of N in N 0.483 * [taylor]: Taking taylor expansion of 1.0 in N 0.497 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.497 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.497 * [taylor]: Taking taylor expansion of -1 in N 0.497 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.497 * [taylor]: Taking taylor expansion of N in N 0.497 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.497 * [taylor]: Taking taylor expansion of 1.0 in N 0.497 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.497 * [taylor]: Taking taylor expansion of N in N 0.498 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.498 * [taylor]: Taking taylor expansion of -1 in N 0.498 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.498 * [taylor]: Taking taylor expansion of N in N 0.498 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.498 * [taylor]: Taking taylor expansion of 1.0 in N 0.498 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.498 * [taylor]: Taking taylor expansion of N in N 0.523 * * * [progress]: simplifying candidates 0.524 * [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) 0.528 * * [simplify]: iteration 0 : 233 enodes (cost 373 ) 0.532 * * [simplify]: iteration 1 : 773 enodes (cost 351 ) 0.545 * * [simplify]: iteration 2 : 3489 enodes (cost 339 ) 0.618 * * [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) 0.621 * * * [progress]: adding candidates to table 0.726 * * [progress]: iteration 3 / 4 0.726 * * * [progress]: picking best candidate 0.734 * * * * [pick]: Picked # 0.734 * * * [progress]: localizing error 0.744 * * * [progress]: generating rewritten candidates 0.745 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.751 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.756 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.766 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.787 * * * [progress]: generating series expansions 0.787 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.787 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 0.787 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.787 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.787 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.787 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.787 * [taylor]: Taking taylor expansion of N in N 0.787 * [taylor]: Taking taylor expansion of 1.0 in N 0.787 * [taylor]: Taking taylor expansion of N in N 0.790 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.790 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.790 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.790 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.790 * [taylor]: Taking taylor expansion of N in N 0.790 * [taylor]: Taking taylor expansion of 1.0 in N 0.790 * [taylor]: Taking taylor expansion of N in N 0.816 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 0.816 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.816 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.816 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.816 * [taylor]: Taking taylor expansion of N in N 0.816 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.816 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.816 * [taylor]: Taking taylor expansion of N in N 0.817 * [taylor]: Taking taylor expansion of 1.0 in N 0.822 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.822 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.822 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.822 * [taylor]: Taking taylor expansion of N in N 0.822 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 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 0.823 * [taylor]: Taking taylor expansion of 1.0 in N 0.862 * [approximate]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in (N) around 0 0.862 * [taylor]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in N 0.862 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 0.862 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 0.862 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.862 * [taylor]: Taking taylor expansion of 1.0 in N 0.862 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.862 * [taylor]: Taking taylor expansion of N in N 0.864 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 0.864 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 0.864 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.864 * [taylor]: Taking taylor expansion of -1 in N 0.864 * [taylor]: Taking taylor expansion of N in N 0.871 * [taylor]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in N 0.871 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 0.871 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 0.871 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.871 * [taylor]: Taking taylor expansion of 1.0 in N 0.871 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.871 * [taylor]: Taking taylor expansion of N in N 0.873 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 0.873 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 0.873 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.873 * [taylor]: Taking taylor expansion of -1 in N 0.873 * [taylor]: Taking taylor expansion of N in N 0.924 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.925 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 0.925 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.925 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.925 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.925 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.925 * [taylor]: Taking taylor expansion of N in N 0.925 * [taylor]: Taking taylor expansion of 1.0 in N 0.925 * [taylor]: Taking taylor expansion of N in N 0.927 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.927 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.927 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.927 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.927 * [taylor]: Taking taylor expansion of N in N 0.927 * [taylor]: Taking taylor expansion of 1.0 in N 0.927 * [taylor]: Taking taylor expansion of N in N 0.948 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 0.948 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.948 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.948 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.948 * [taylor]: Taking taylor expansion of N in N 0.948 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.948 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.948 * [taylor]: Taking taylor expansion of N in N 0.948 * [taylor]: Taking taylor expansion of 1.0 in N 0.953 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.953 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.953 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.953 * [taylor]: Taking taylor expansion of N in N 0.953 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.954 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.954 * [taylor]: Taking taylor expansion of N in N 0.954 * [taylor]: Taking taylor expansion of 1.0 in N 0.999 * [approximate]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in (N) around 0 0.999 * [taylor]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in N 0.999 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 0.999 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 0.999 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.999 * [taylor]: Taking taylor expansion of 1.0 in N 0.999 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.999 * [taylor]: Taking taylor expansion of N in N 1.001 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 1.001 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 1.001 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.001 * [taylor]: Taking taylor expansion of -1 in N 1.001 * [taylor]: Taking taylor expansion of N in N 1.008 * [taylor]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in N 1.008 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 1.008 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.008 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.008 * [taylor]: Taking taylor expansion of 1.0 in N 1.008 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.008 * [taylor]: Taking taylor expansion of N in N 1.010 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 1.010 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 1.010 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.010 * [taylor]: Taking taylor expansion of -1 in N 1.010 * [taylor]: Taking taylor expansion of N in N 1.056 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.056 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 1.056 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.056 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.056 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.056 * [taylor]: Taking taylor expansion of N in N 1.056 * [taylor]: Taking taylor expansion of 1.0 in N 1.056 * [taylor]: Taking taylor expansion of N in N 1.058 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.058 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.058 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.058 * [taylor]: Taking taylor expansion of N in N 1.058 * [taylor]: Taking taylor expansion of 1.0 in N 1.058 * [taylor]: Taking taylor expansion of N in N 1.066 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.066 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.066 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.066 * [taylor]: Taking taylor expansion of N in N 1.066 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 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 1.066 * [taylor]: Taking taylor expansion of 1.0 in N 1.077 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.078 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.078 * [taylor]: Taking taylor expansion of N in N 1.078 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.078 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.078 * [taylor]: Taking taylor expansion of N in N 1.078 * [taylor]: Taking taylor expansion of 1.0 in N 1.087 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in (N) around 0 1.087 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 1.087 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.087 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.087 * [taylor]: Taking taylor expansion of 1.0 in N 1.087 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.087 * [taylor]: Taking taylor expansion of N in N 1.089 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 1.089 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 1.089 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.089 * [taylor]: Taking taylor expansion of -1 in N 1.089 * [taylor]: Taking taylor expansion of N in N 1.090 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 1.090 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.091 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.091 * [taylor]: Taking taylor expansion of 1.0 in N 1.091 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.091 * [taylor]: Taking taylor expansion of N in N 1.092 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 1.092 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 1.092 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.092 * [taylor]: Taking taylor expansion of -1 in N 1.092 * [taylor]: Taking taylor expansion of N in N 1.124 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.124 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 1.124 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.124 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.124 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.124 * [taylor]: Taking taylor expansion of N in N 1.125 * [taylor]: Taking taylor expansion of 1.0 in N 1.125 * [taylor]: Taking taylor expansion of N in N 1.126 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.126 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.126 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.126 * [taylor]: Taking taylor expansion of N in N 1.126 * [taylor]: Taking taylor expansion of 1.0 in N 1.126 * [taylor]: Taking taylor expansion of N in N 1.134 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.134 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.134 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.134 * [taylor]: Taking taylor expansion of N in N 1.134 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.134 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.134 * [taylor]: Taking taylor expansion of N in N 1.135 * [taylor]: Taking taylor expansion of 1.0 in N 1.140 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.140 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.140 * [taylor]: Taking taylor expansion of N in N 1.140 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.140 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.140 * [taylor]: Taking taylor expansion of N in N 1.140 * [taylor]: Taking taylor expansion of 1.0 in N 1.149 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in (N) around 0 1.149 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 1.149 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.149 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.149 * [taylor]: Taking taylor expansion of 1.0 in N 1.149 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.149 * [taylor]: Taking taylor expansion of N in N 1.151 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 1.151 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 1.151 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.151 * [taylor]: Taking taylor expansion of -1 in N 1.151 * [taylor]: Taking taylor expansion of N in N 1.153 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 1.153 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.153 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.153 * [taylor]: Taking taylor expansion of 1.0 in N 1.153 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.153 * [taylor]: Taking taylor expansion of N in N 1.154 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 1.154 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 1.155 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.155 * [taylor]: Taking taylor expansion of -1 in N 1.155 * [taylor]: Taking taylor expansion of N in N 1.191 * * * [progress]: simplifying candidates 1.196 * [simplify]: Simplifying using # : (log (* (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (log (/ (cbrt 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(sqrt (+ N 1.0))) (/ (sqrt (+ N 1.0)) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (sqrt (+ N 1.0)) (fabs (cbrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (sqrt (+ N 1.0)) (/ (sqrt N) (cbrt (sqrt (+ N 1.0)))) (/ (sqrt N) (sqrt (cbrt (+ N 1.0)))) (/ (sqrt N) (sqrt (sqrt (+ N 1.0)))) (/ (sqrt N) (sqrt (+ N 1.0))) (/ (sqrt N) (sqrt (+ N 1.0))) (/ (sqrt N) (sqrt (sqrt (+ N 1.0)))) (/ (sqrt N) (sqrt (+ N 1.0))) (* (sqrt N) (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (* (sqrt N) (sqrt (- N 1.0))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (exp (/ (sqrt (+ N 1.0)) (sqrt N))) (pow (/ (sqrt (+ N 1.0)) (sqrt N)) 3) (* (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (pow (/ (sqrt (+ N 1.0)) (sqrt N)) 3) (/ (+ N 1.0) N) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (- (sqrt (+ N 1.0))) (- (pow N 1/2)) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt N))) (/ (cbrt (sqrt (+ N 1.0))) (/ (fabs (cbrt N)) (cbrt (sqrt (+ N 1.0))))) (/ (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt N))) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt (sqrt N))) (/ (cbrt (sqrt (+ N 1.0))) (sqrt (sqrt N))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (/ (cbrt (sqrt (+ N 1.0))) (sqrt N)) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt (sqrt N))) (/ (cbrt (sqrt (+ N 1.0))) (sqrt (sqrt N))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (/ (cbrt (sqrt (+ N 1.0))) (sqrt N)) (/ (/ (fabs (cbrt (+ N 1.0))) (cbrt (sqrt N))) (cbrt (sqrt N))) (/ (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt N))) (/ (fabs (cbrt (+ N 1.0))) (* (fabs (cbrt N)) 1)) (/ (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt N))) (/ (fabs (cbrt (+ N 1.0))) (* (sqrt (sqrt N)) 1)) (/ (sqrt (cbrt (+ N 1.0))) (sqrt (sqrt N))) (fabs (cbrt (+ N 1.0))) (/ (sqrt (cbrt (+ N 1.0))) (sqrt N)) (/ (fabs (cbrt (+ N 1.0))) (* (sqrt (sqrt N)) 1)) (/ (sqrt (cbrt (+ N 1.0))) (sqrt (sqrt N))) (fabs (cbrt (+ N 1.0))) (/ (sqrt (cbrt (+ N 1.0))) (sqrt N)) (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (sqrt (sqrt (+ N 1.0))) (cbrt (sqrt N))) (/ (sqrt (sqrt (+ N 1.0))) (fabs (cbrt N))) (/ (sqrt (sqrt (+ N 1.0))) (sqrt (cbrt N))) (/ (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt N))) (/ (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt N))) (sqrt (sqrt (+ N 1.0))) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt N))) (/ (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt N))) (sqrt (sqrt (+ N 1.0))) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (sqrt (+ N 1.0)) (cbrt (sqrt N))) (/ 1 (fabs (cbrt N))) (/ (sqrt (+ N 1.0)) (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) 1 (/ (sqrt (+ N 1.0)) (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) 1 (/ (sqrt (+ N 1.0)) (sqrt N)) (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (sqrt (+ N 1.0)) (cbrt (sqrt N))) (/ 1 (fabs (cbrt N))) (/ (sqrt (+ N 1.0)) (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) 1 (/ (sqrt (+ N 1.0)) (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) 1 (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (sqrt (sqrt (+ N 1.0))) (cbrt (sqrt N))) (/ (sqrt (sqrt (+ N 1.0))) (fabs (cbrt N))) (/ (sqrt (sqrt (+ N 1.0))) (sqrt (cbrt N))) (/ (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt N))) (/ (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt N))) (sqrt (sqrt (+ N 1.0))) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt N))) (/ (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt N))) (sqrt (sqrt (+ N 1.0))) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (sqrt (+ N 1.0)) (cbrt (sqrt N))) (/ 1 (fabs (cbrt N))) (/ (sqrt (+ N 1.0)) (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) 1 (/ (sqrt (+ N 1.0)) (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) 1 (/ (sqrt (+ N 1.0)) (sqrt N)) (/ 1 (sqrt N)) (/ (sqrt N) (sqrt (+ N 1.0))) (/ (sqrt (+ N 1.0)) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (sqrt (+ N 1.0)) (fabs (cbrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (sqrt (+ N 1.0)) (/ (sqrt N) (cbrt (sqrt (+ N 1.0)))) (/ (sqrt N) (sqrt (cbrt (+ N 1.0)))) (/ (sqrt N) (sqrt (sqrt (+ N 1.0)))) (/ (sqrt N) (sqrt (+ N 1.0))) (/ (sqrt N) (sqrt (+ N 1.0))) (/ (sqrt N) (sqrt (sqrt (+ N 1.0)))) (/ (sqrt N) (sqrt (+ N 1.0))) (* (sqrt N) (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (* (sqrt N) (sqrt (- N 1.0))) (+ (- (log +nan.0) (* +nan.0 (pow N 2))) (* +nan.0 N)) (- (/ 0.5 N) (- (/ (/ 0.25 N) N) (* 0.16666666666666666 (/ 1 (pow N 3))))) (- (log (- +nan.0)) (- (/ +nan.0 (pow N 2)) (/ +nan.0 N))) (+ (- (log +nan.0) (* +nan.0 (pow N 2))) (* +nan.0 N)) (- (/ 0.5 N) (- (/ (/ 0.25 N) N) (* 0.16666666666666666 (/ 1 (pow N 3))))) (- (log (- +nan.0)) (- (/ +nan.0 (pow N 2)) (/ +nan.0 N))) (- (* (- +nan.0) (- (pow N 2) N)) +nan.0) (- 1 (- (/ (/ 0.125 N) N) (/ 0.5 N))) (- (* (/ 1 N) (- (/ +nan.0 N) +nan.0)) +nan.0) (- (* (- +nan.0) (- (pow N 2) N)) +nan.0) (- 1 (- (/ (/ 0.125 N) N) (/ 0.5 N))) (- (* (/ 1 N) (- (/ +nan.0 N) +nan.0)) +nan.0) 1.244 * * * [progress]: adding candidates to table 1.731 * * [progress]: iteration 4 / 4 1.731 * * * [progress]: picking best candidate 1.739 * * * * [pick]: Picked # 1.739 * * * [progress]: localizing error 1.752 * * * [progress]: generating rewritten candidates 1.752 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 1.758 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1) 1.764 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 1.769 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.787 * * * [progress]: generating series expansions 1.787 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 1.787 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 1.787 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 1.787 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.787 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.787 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.787 * [taylor]: Taking taylor expansion of N in N 1.787 * [taylor]: Taking taylor expansion of 1.0 in N 1.787 * [taylor]: Taking taylor expansion of N in N 1.790 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 1.790 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.790 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.790 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.790 * [taylor]: Taking taylor expansion of N in N 1.790 * [taylor]: Taking taylor expansion of 1.0 in N 1.790 * [taylor]: Taking taylor expansion of N in N 1.816 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 1.817 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 1.817 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.817 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.817 * [taylor]: Taking taylor expansion of N in N 1.817 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.817 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.817 * [taylor]: Taking taylor expansion of N in N 1.817 * [taylor]: Taking taylor expansion of 1.0 in N 1.822 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 1.822 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.822 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.822 * [taylor]: Taking taylor expansion of N in N 1.822 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.822 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.822 * [taylor]: Taking taylor expansion of N in N 1.823 * [taylor]: Taking taylor expansion of 1.0 in N 1.863 * [approximate]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in (N) around 0 1.863 * [taylor]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in N 1.863 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 1.863 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.863 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.863 * [taylor]: Taking taylor expansion of 1.0 in N 1.863 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.863 * [taylor]: Taking taylor expansion of N in N 1.865 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 1.865 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 1.865 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.865 * [taylor]: Taking taylor expansion of -1 in N 1.865 * [taylor]: Taking taylor expansion of N in N 1.872 * [taylor]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in N 1.872 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 1.872 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.872 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.872 * [taylor]: Taking taylor expansion of 1.0 in N 1.872 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.872 * [taylor]: Taking taylor expansion of N in N 1.874 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 1.874 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 1.874 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.874 * [taylor]: Taking taylor expansion of -1 in N 1.874 * [taylor]: Taking taylor expansion of N in N 1.926 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1) 1.926 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 1.926 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 1.926 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.926 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.926 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.926 * [taylor]: Taking taylor expansion of N in N 1.926 * [taylor]: Taking taylor expansion of 1.0 in N 1.926 * [taylor]: Taking taylor expansion of N in N 1.928 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 1.928 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.928 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.928 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.929 * [taylor]: Taking taylor expansion of N in N 1.929 * [taylor]: Taking taylor expansion of 1.0 in N 1.929 * [taylor]: Taking taylor expansion of N in N 1.949 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 1.949 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 1.949 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.949 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.949 * [taylor]: Taking taylor expansion of N in N 1.949 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.949 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.949 * [taylor]: Taking taylor expansion of N in N 1.950 * [taylor]: Taking taylor expansion of 1.0 in N 1.955 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 1.955 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.955 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.955 * [taylor]: Taking taylor expansion of N in N 1.955 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.955 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.955 * [taylor]: Taking taylor expansion of N in N 1.955 * [taylor]: Taking taylor expansion of 1.0 in N 2.001 * [approximate]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in (N) around 0 2.001 * [taylor]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in N 2.001 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 2.001 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.001 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.001 * [taylor]: Taking taylor expansion of 1.0 in N 2.001 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.001 * [taylor]: Taking taylor expansion of N in N 2.003 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 2.003 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.003 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.003 * [taylor]: Taking taylor expansion of -1 in N 2.003 * [taylor]: Taking taylor expansion of N in N 2.010 * [taylor]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in N 2.010 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 2.010 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.010 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.011 * [taylor]: Taking taylor expansion of 1.0 in N 2.011 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.011 * [taylor]: Taking taylor expansion of N in N 2.012 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 2.012 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.012 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.012 * [taylor]: Taking taylor expansion of -1 in N 2.012 * [taylor]: Taking taylor expansion of N in N 2.059 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 2.059 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 2.059 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 2.059 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 2.059 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.059 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.059 * [taylor]: Taking taylor expansion of N in N 2.059 * [taylor]: Taking taylor expansion of 1.0 in N 2.059 * [taylor]: Taking taylor expansion of N in N 2.066 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 2.066 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 2.066 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.066 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.066 * [taylor]: Taking taylor expansion of N in N 2.066 * [taylor]: Taking taylor expansion of 1.0 in N 2.066 * [taylor]: Taking taylor expansion of N in N 2.088 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 2.088 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 2.088 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 2.088 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.088 * [taylor]: Taking taylor expansion of N in N 2.088 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.088 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.088 * [taylor]: Taking taylor expansion of N in N 2.088 * [taylor]: Taking taylor expansion of 1.0 in N 2.093 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 2.093 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 2.093 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.093 * [taylor]: Taking taylor expansion of N in N 2.093 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.093 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.093 * [taylor]: Taking taylor expansion of N in N 2.094 * [taylor]: Taking taylor expansion of 1.0 in N 2.134 * [approximate]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in (N) around 0 2.134 * [taylor]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in N 2.134 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 2.134 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.134 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.134 * [taylor]: Taking taylor expansion of 1.0 in N 2.134 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.134 * [taylor]: Taking taylor expansion of N in N 2.136 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 2.136 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.136 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.136 * [taylor]: Taking taylor expansion of -1 in N 2.136 * [taylor]: Taking taylor expansion of N in N 2.143 * [taylor]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in N 2.143 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 2.143 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.143 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.143 * [taylor]: Taking taylor expansion of 1.0 in N 2.143 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.143 * [taylor]: Taking taylor expansion of N in N 2.145 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 2.145 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.145 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.145 * [taylor]: Taking taylor expansion of -1 in N 2.145 * [taylor]: Taking taylor expansion of N in N 2.199 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.199 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 2.199 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 2.199 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 2.199 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.199 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.199 * [taylor]: Taking taylor expansion of N in N 2.199 * [taylor]: Taking taylor expansion of 1.0 in N 2.199 * [taylor]: Taking taylor expansion of N in N 2.201 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 2.201 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 2.201 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.201 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.201 * [taylor]: Taking taylor expansion of N in N 2.201 * [taylor]: Taking taylor expansion of 1.0 in N 2.201 * [taylor]: Taking taylor expansion of N in N 2.222 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 2.222 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 2.222 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 2.222 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.222 * [taylor]: Taking taylor expansion of N in N 2.222 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.222 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.222 * [taylor]: Taking taylor expansion of N in N 2.222 * [taylor]: Taking taylor expansion of 1.0 in N 2.228 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 2.228 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 2.228 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.228 * [taylor]: Taking taylor expansion of N in N 2.228 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.228 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.228 * [taylor]: Taking taylor expansion of N in N 2.228 * [taylor]: Taking taylor expansion of 1.0 in N 2.273 * [approximate]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in (N) around 0 2.273 * [taylor]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in N 2.273 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 2.273 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.273 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.274 * [taylor]: Taking taylor expansion of 1.0 in N 2.274 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.274 * [taylor]: Taking taylor expansion of N in N 2.275 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 2.275 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.275 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.276 * [taylor]: Taking taylor expansion of -1 in N 2.276 * [taylor]: Taking taylor expansion of N in N 2.282 * [taylor]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in N 2.283 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 2.283 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.283 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.283 * [taylor]: Taking taylor expansion of 1.0 in N 2.283 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.283 * [taylor]: Taking taylor expansion of N in N 2.284 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 2.284 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.284 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.284 * [taylor]: Taking taylor expansion of -1 in N 2.284 * [taylor]: Taking taylor expansion of N in N 2.337 * * * [progress]: simplifying candidates 2.341 * [simplify]: Simplifying using # : (log (* (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt N)))) (log (/ (* (cbrt (sqrt (+ 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2.948 * [progress]: [Phase 3 of 3] Extracting. 2.948 * * [regime]: Finding splitpoints for: (# # # #) 2.949 * * * [regime-changes]: Trying 1 branch expressions: (N) 2.950 * * * * [regimes]: Trying to branch on N from (# # # #) 2.976 * * * [regime]: Found split indices: #