5.103 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.042 * * * [progress]: [2/2] Setting up program. 0.044 * [progress]: [Phase 2 of 3] Improving. 0.044 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.047 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.048 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.049 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.049 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.049 * * [progress]: iteration 1 / 4 0.049 * * * [progress]: picking best candidate 0.051 * * * * [pick]: Picked # 0.051 * * * [progress]: localizing error 0.057 * * * [progress]: generating rewritten candidates 0.057 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.060 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.068 * * * [progress]: generating series expansions 0.068 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.068 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.068 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.068 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.068 * [taylor]: Taking taylor expansion of N in N 0.068 * [taylor]: Taking taylor expansion of 1.0 in N 0.069 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.069 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.069 * [taylor]: Taking taylor expansion of N in N 0.069 * [taylor]: Taking taylor expansion of 1.0 in N 0.080 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.081 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.081 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.081 * [taylor]: Taking taylor expansion of N in N 0.081 * [taylor]: Taking taylor expansion of 1.0 in N 0.081 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.081 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.081 * [taylor]: Taking taylor expansion of N in N 0.082 * [taylor]: Taking taylor expansion of 1.0 in N 0.094 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.094 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.094 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.094 * [taylor]: Taking taylor expansion of 1.0 in N 0.094 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.094 * [taylor]: Taking taylor expansion of N in N 0.095 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.095 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.095 * [taylor]: Taking taylor expansion of 1.0 in N 0.095 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.095 * [taylor]: Taking taylor expansion of N in N 0.112 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.113 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.113 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.113 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.113 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.113 * [taylor]: Taking taylor expansion of N in N 0.113 * [taylor]: Taking taylor expansion of 1.0 in N 0.113 * [taylor]: Taking taylor expansion of (log N) in N 0.113 * [taylor]: Taking taylor expansion of N in N 0.113 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.114 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.114 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.114 * [taylor]: Taking taylor expansion of N in N 0.114 * [taylor]: Taking taylor expansion of 1.0 in N 0.114 * [taylor]: Taking taylor expansion of (log N) in N 0.114 * [taylor]: Taking taylor expansion of N in N 0.132 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.132 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.132 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.132 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.132 * [taylor]: Taking taylor expansion of N in N 0.132 * [taylor]: Taking taylor expansion of 1.0 in N 0.133 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.133 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.133 * [taylor]: Taking taylor expansion of N in N 0.133 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.133 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.133 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.133 * [taylor]: Taking taylor expansion of N in N 0.134 * [taylor]: Taking taylor expansion of 1.0 in N 0.134 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.134 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.134 * [taylor]: Taking taylor expansion of N in N 0.164 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.164 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.164 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.164 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.164 * [taylor]: Taking taylor expansion of 1.0 in N 0.164 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.164 * [taylor]: Taking taylor expansion of N in N 0.165 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.165 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.165 * [taylor]: Taking taylor expansion of -1 in N 0.165 * [taylor]: Taking taylor expansion of N in N 0.166 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.166 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.166 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.166 * [taylor]: Taking taylor expansion of 1.0 in N 0.166 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.166 * [taylor]: Taking taylor expansion of N in N 0.167 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.167 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.167 * [taylor]: Taking taylor expansion of -1 in N 0.167 * [taylor]: Taking taylor expansion of N in N 0.204 * * * [progress]: simplifying candidates 0.205 * [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)))) 0.209 * * [simplify]: iteration 0 : 212 enodes (cost 281 ) 0.212 * * [simplify]: iteration 1 : 547 enodes (cost 264 ) 0.220 * * [simplify]: iteration 2 : 1874 enodes (cost 250 ) 0.254 * * [simplify]: iteration 3 : 5001 enodes (cost 247 ) 0.256 * [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)) 0.256 * * * [progress]: adding candidates to table 0.352 * * [progress]: iteration 2 / 4 0.352 * * * [progress]: picking best candidate 0.355 * * * * [pick]: Picked # 0.356 * * * [progress]: localizing error 0.360 * * * [progress]: generating rewritten candidates 0.360 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.364 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.371 * * * [progress]: generating series expansions 0.371 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.371 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.371 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.372 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.372 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.372 * [taylor]: Taking taylor expansion of N in N 0.372 * [taylor]: Taking taylor expansion of 1.0 in N 0.372 * [taylor]: Taking taylor expansion of N in N 0.373 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.373 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.373 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.373 * [taylor]: Taking taylor expansion of N in N 0.373 * [taylor]: Taking taylor expansion of 1.0 in N 0.373 * [taylor]: Taking taylor expansion of N in N 0.386 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.387 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.387 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.387 * [taylor]: Taking taylor expansion of N in N 0.387 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.387 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.387 * [taylor]: Taking taylor expansion of N in N 0.387 * [taylor]: Taking taylor expansion of 1.0 in N 0.389 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.389 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.389 * [taylor]: Taking taylor expansion of N in N 0.389 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.389 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.389 * [taylor]: Taking taylor expansion of N in N 0.389 * [taylor]: Taking taylor expansion of 1.0 in N 0.415 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.416 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.416 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.416 * [taylor]: Taking taylor expansion of -1 in N 0.416 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.416 * [taylor]: Taking taylor expansion of N in N 0.416 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.416 * [taylor]: Taking taylor expansion of 1.0 in N 0.416 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.416 * [taylor]: Taking taylor expansion of N in N 0.422 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.422 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.422 * [taylor]: Taking taylor expansion of -1 in N 0.422 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.422 * [taylor]: Taking taylor expansion of N in N 0.422 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.422 * [taylor]: Taking taylor expansion of 1.0 in N 0.422 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.422 * [taylor]: Taking taylor expansion of N in N 0.455 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.455 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.455 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.455 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.455 * [taylor]: Taking taylor expansion of N in N 0.455 * [taylor]: Taking taylor expansion of 1.0 in N 0.455 * [taylor]: Taking taylor expansion of N in N 0.456 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.456 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.456 * [taylor]: Taking taylor expansion of N in N 0.456 * [taylor]: Taking taylor expansion of 1.0 in N 0.456 * [taylor]: Taking taylor expansion of N in N 0.462 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.462 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.462 * [taylor]: Taking taylor expansion of N in N 0.462 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.462 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.462 * [taylor]: Taking taylor expansion of N in N 0.463 * [taylor]: Taking taylor expansion of 1.0 in N 0.463 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.463 * [taylor]: Taking taylor expansion of N in N 0.463 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.463 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.463 * [taylor]: Taking taylor expansion of N in N 0.463 * [taylor]: Taking taylor expansion of 1.0 in N 0.477 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.477 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.477 * [taylor]: Taking taylor expansion of -1 in N 0.477 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.477 * [taylor]: Taking taylor expansion of N in N 0.477 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.477 * [taylor]: Taking taylor expansion of 1.0 in N 0.477 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.477 * [taylor]: Taking taylor expansion of N in N 0.477 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.477 * [taylor]: Taking taylor expansion of -1 in N 0.477 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.477 * [taylor]: Taking taylor expansion of N in N 0.477 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.477 * [taylor]: Taking taylor expansion of 1.0 in N 0.477 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.477 * [taylor]: Taking taylor expansion of N in N 0.503 * * * [progress]: simplifying candidates 0.504 * [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) 0.508 * * [simplify]: iteration 0 : 233 enodes (cost 373 ) 0.512 * * [simplify]: iteration 1 : 773 enodes (cost 351 ) 0.525 * * [simplify]: iteration 2 : 3489 enodes (cost 339 ) 0.600 * * [simplify]: iteration 3 : 5002 enodes (cost 339 ) 0.602 * [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) 0.603 * * * [progress]: adding candidates to table 0.710 * * [progress]: iteration 3 / 4 0.710 * * * [progress]: picking best candidate 0.713 * * * * [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 0.767 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 0.767 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.767 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.767 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.767 * [taylor]: Taking taylor expansion of N in N 0.767 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.767 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.767 * [taylor]: Taking taylor expansion of N in N 0.768 * [taylor]: Taking taylor expansion of 1.0 in N 0.777 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.777 * [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 0.778 * [taylor]: Taking taylor expansion of N in N 0.778 * [taylor]: Taking taylor expansion of 1.0 in N 0.816 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 0.816 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.816 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.816 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.816 * [taylor]: Taking taylor expansion of -1 in N 0.816 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.816 * [taylor]: Taking taylor expansion of N in N 0.816 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.816 * [taylor]: Taking taylor expansion of 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 0.824 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.824 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.824 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.824 * [taylor]: Taking taylor expansion of -1 in N 0.824 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.824 * [taylor]: Taking taylor expansion of N in N 0.824 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.824 * [taylor]: Taking taylor expansion of 1.0 in N 0.824 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.824 * [taylor]: Taking taylor expansion of N in N 0.872 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.872 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 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 0.874 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.874 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.874 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.874 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.874 * [taylor]: Taking taylor expansion of N in N 0.874 * [taylor]: Taking taylor expansion of 1.0 in N 0.874 * [taylor]: Taking taylor expansion of N in N 0.894 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 0.894 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.894 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.894 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.894 * [taylor]: Taking taylor expansion of N in N 0.894 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.894 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.894 * [taylor]: Taking taylor expansion of N in N 0.894 * [taylor]: Taking taylor expansion of 1.0 in N 0.899 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.899 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.899 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.899 * [taylor]: Taking taylor expansion of N in N 0.899 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.899 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.899 * [taylor]: Taking taylor expansion of N in N 0.900 * [taylor]: Taking taylor expansion of 1.0 in N 0.943 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 0.943 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.943 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.943 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.943 * [taylor]: Taking taylor expansion of -1 in N 0.943 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.943 * [taylor]: Taking taylor expansion of N in N 0.943 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.943 * [taylor]: Taking taylor expansion of 1.0 in N 0.943 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.943 * [taylor]: Taking taylor expansion of N in N 0.951 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.951 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.951 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.951 * [taylor]: Taking taylor expansion of -1 in N 0.951 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.951 * [taylor]: Taking taylor expansion of N in N 0.951 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.951 * [taylor]: Taking taylor expansion of 1.0 in N 0.951 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.951 * [taylor]: Taking taylor expansion of N in N 0.994 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.994 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 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 0.996 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.996 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.996 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.996 * [taylor]: Taking taylor expansion of N in N 0.996 * [taylor]: Taking taylor expansion of 1.0 in N 0.996 * [taylor]: Taking taylor expansion of N in N 1.003 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.003 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.003 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.003 * [taylor]: Taking taylor expansion of N in N 1.003 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.004 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.004 * [taylor]: Taking taylor expansion of N in N 1.004 * [taylor]: Taking taylor expansion of 1.0 in N 1.009 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.009 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.009 * [taylor]: Taking taylor expansion of N in N 1.009 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.009 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.009 * [taylor]: Taking taylor expansion of N in N 1.009 * [taylor]: Taking taylor expansion of 1.0 in N 1.023 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.023 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.023 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.023 * [taylor]: Taking taylor expansion of -1 in N 1.023 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.023 * [taylor]: Taking taylor expansion of N in N 1.023 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.023 * [taylor]: Taking taylor expansion of 1.0 in N 1.023 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.023 * [taylor]: Taking taylor expansion of N in N 1.031 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.031 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.031 * [taylor]: Taking taylor expansion of -1 in N 1.031 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.031 * [taylor]: Taking taylor expansion of N in N 1.031 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.031 * [taylor]: Taking taylor expansion of 1.0 in N 1.031 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.031 * [taylor]: Taking taylor expansion of N in N 1.044 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.044 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 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 1.044 * [taylor]: Taking taylor expansion of N in N 1.046 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.046 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.046 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.046 * [taylor]: Taking taylor expansion of N in N 1.046 * [taylor]: Taking taylor expansion of 1.0 in N 1.046 * [taylor]: Taking taylor expansion of N in N 1.054 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.054 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.054 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.054 * [taylor]: Taking taylor expansion of N in N 1.054 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.054 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.054 * [taylor]: Taking taylor expansion of N in N 1.054 * [taylor]: Taking taylor expansion of 1.0 in N 1.059 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.059 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.059 * [taylor]: Taking taylor expansion of N in N 1.059 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.059 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.059 * [taylor]: Taking taylor expansion of N in N 1.059 * [taylor]: Taking taylor expansion of 1.0 in N 1.068 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.068 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.068 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.068 * [taylor]: Taking taylor expansion of -1 in N 1.068 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.068 * [taylor]: Taking taylor expansion of N in N 1.068 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.068 * [taylor]: Taking taylor expansion of 1.0 in N 1.068 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.068 * [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)))) 1.095 * * [simplify]: iteration 0 : 196 enodes (cost 964 ) 1.098 * * [simplify]: iteration 1 : 456 enodes (cost 908 ) 1.106 * * [simplify]: iteration 2 : 1761 enodes (cost 868 ) 1.144 * * [simplify]: iteration 3 : 5002 enodes (cost 860 ) 1.148 * [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) 1.149 * * * [progress]: adding candidates to table 1.459 * * [progress]: iteration 4 / 4 1.459 * * * [progress]: picking best candidate 1.464 * * * * [pick]: Picked # 1.464 * * * [progress]: localizing error 1.480 * * * [progress]: generating rewritten candidates 1.480 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.493 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.498 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 1.504 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1) 1.515 * * * [progress]: generating series expansions 1.516 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.516 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in (N) around 0 1.516 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 1.516 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 1.516 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 1.516 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 1.516 * [taylor]: Taking taylor expansion of 1/3 in N 1.516 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.516 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.516 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.516 * [taylor]: Taking taylor expansion of N in N 1.516 * [taylor]: Taking taylor expansion of 1.0 in N 1.516 * [taylor]: Taking taylor expansion of N in N 1.519 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 1.519 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 1.519 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 1.519 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 1.519 * [taylor]: Taking taylor expansion of 1/3 in N 1.519 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.519 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.519 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.519 * [taylor]: Taking taylor expansion of N in N 1.519 * [taylor]: Taking taylor expansion of 1.0 in N 1.519 * [taylor]: Taking taylor expansion of N in N 1.549 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in (N) around 0 1.549 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 1.549 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.549 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.549 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.549 * [taylor]: Taking taylor expansion of 1/3 in N 1.549 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.549 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.549 * [taylor]: Taking taylor expansion of N in N 1.549 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.549 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.549 * [taylor]: Taking taylor expansion of N in N 1.550 * [taylor]: Taking taylor expansion of 1.0 in N 1.559 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 1.559 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.559 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.559 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.559 * [taylor]: Taking taylor expansion of 1/3 in N 1.559 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.559 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.559 * [taylor]: Taking taylor expansion of N in N 1.559 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.559 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.559 * [taylor]: Taking taylor expansion of N in N 1.560 * [taylor]: Taking taylor expansion of 1.0 in N 1.636 * [approximate]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in (N) around 0 1.636 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 1.636 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.636 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.636 * [taylor]: Taking taylor expansion of -1 in N 1.637 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.637 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.637 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.637 * [taylor]: Taking taylor expansion of 1/3 in N 1.637 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.637 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.637 * [taylor]: Taking taylor expansion of N in N 1.637 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.637 * [taylor]: Taking taylor expansion of 1.0 in N 1.637 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.637 * [taylor]: Taking taylor expansion of N in N 1.644 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 1.644 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.644 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.644 * [taylor]: Taking taylor expansion of -1 in N 1.645 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.645 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.645 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.645 * [taylor]: Taking taylor expansion of 1/3 in N 1.645 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.645 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.645 * [taylor]: Taking taylor expansion of N in N 1.645 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.645 * [taylor]: Taking taylor expansion of 1.0 in N 1.645 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.645 * [taylor]: Taking taylor expansion of N in N 1.726 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.726 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 1.726 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 1.726 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.726 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.726 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.726 * [taylor]: Taking taylor expansion of N in N 1.726 * [taylor]: Taking taylor expansion of 1.0 in N 1.726 * [taylor]: Taking taylor expansion of N in N 1.728 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 1.728 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.728 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.728 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.728 * [taylor]: Taking taylor expansion of N in N 1.728 * [taylor]: Taking taylor expansion of 1.0 in N 1.728 * [taylor]: Taking taylor expansion of N in N 1.748 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 1.748 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 1.748 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.748 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.748 * [taylor]: Taking taylor expansion of N in N 1.748 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.748 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.748 * [taylor]: Taking taylor expansion of N in N 1.748 * [taylor]: Taking taylor expansion of 1.0 in N 1.753 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 1.753 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.753 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.753 * [taylor]: Taking taylor expansion of N in N 1.753 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.754 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.754 * [taylor]: Taking taylor expansion of N in N 1.754 * [taylor]: Taking taylor expansion of 1.0 in N 1.797 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 1.797 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.798 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.798 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.798 * [taylor]: Taking taylor expansion of -1 in N 1.798 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.798 * [taylor]: Taking taylor expansion of N in N 1.798 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.798 * [taylor]: Taking taylor expansion of 1.0 in N 1.798 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.798 * [taylor]: Taking taylor expansion of N in N 1.806 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.806 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.806 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.806 * [taylor]: Taking taylor expansion of -1 in N 1.806 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.806 * [taylor]: Taking taylor expansion of N in N 1.806 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.806 * [taylor]: Taking taylor expansion of 1.0 in N 1.806 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.806 * [taylor]: Taking taylor expansion of N in N 1.854 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 1.854 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/6)) in (N) around 0 1.854 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/6)) in N 1.854 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/6) in N 1.854 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ (+ N 1.0) N)))) in N 1.854 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ (+ N 1.0) N))) in N 1.854 * [taylor]: Taking taylor expansion of 1/6 in N 1.854 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.854 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.854 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.854 * [taylor]: Taking taylor expansion of N in N 1.854 * [taylor]: Taking taylor expansion of 1.0 in N 1.854 * [taylor]: Taking taylor expansion of N in N 1.857 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/6)) in N 1.857 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/6) in N 1.857 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ (+ N 1.0) N)))) in N 1.857 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ (+ N 1.0) N))) in N 1.857 * [taylor]: Taking taylor expansion of 1/6 in N 1.857 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.857 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.857 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.857 * [taylor]: Taking taylor expansion of N in N 1.857 * [taylor]: Taking taylor expansion of 1.0 in N 1.857 * [taylor]: Taking taylor expansion of N in N 1.887 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/6)) in (N) around 0 1.887 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/6)) in N 1.887 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/6) in N 1.887 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (* N (+ (/ 1 N) 1.0))))) in N 1.887 * [taylor]: Taking taylor expansion of (* 1/6 (log (* N (+ (/ 1 N) 1.0)))) in N 1.887 * [taylor]: Taking taylor expansion of 1/6 in N 1.887 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.887 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.887 * [taylor]: Taking taylor expansion of N in N 1.887 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.887 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.887 * [taylor]: Taking taylor expansion of N in N 1.887 * [taylor]: Taking taylor expansion of 1.0 in N 1.896 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/6)) in N 1.896 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/6) in N 1.896 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (* N (+ (/ 1 N) 1.0))))) in N 1.896 * [taylor]: Taking taylor expansion of (* 1/6 (log (* N (+ (/ 1 N) 1.0)))) in N 1.896 * [taylor]: Taking taylor expansion of 1/6 in N 1.896 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.896 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.896 * [taylor]: Taking taylor expansion of N in N 1.896 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.896 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.896 * [taylor]: Taking taylor expansion of N in N 1.897 * [taylor]: Taking taylor expansion of 1.0 in N 1.972 * [approximate]: Taking taylor expansion of (log (* (sqrt (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/6))) in (N) around 0 1.972 * [taylor]: Taking taylor expansion of (log (* (sqrt (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/6))) in N 1.972 * [taylor]: Taking taylor expansion of (* (sqrt (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/6)) in N 1.972 * [taylor]: Taking taylor expansion of (sqrt (cbrt -1)) in N 1.972 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.972 * [taylor]: Taking taylor expansion of -1 in N 1.974 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/6) in N 1.974 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (* N (- 1.0 (/ 1 N)))))) in N 1.974 * [taylor]: Taking taylor expansion of (* 1/6 (log (* N (- 1.0 (/ 1 N))))) in N 1.974 * [taylor]: Taking taylor expansion of 1/6 in N 1.974 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.974 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.974 * [taylor]: Taking taylor expansion of N in N 1.974 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.974 * [taylor]: Taking taylor expansion of 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 1.981 * [taylor]: Taking taylor expansion of (log (* (sqrt (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/6))) in N 1.981 * [taylor]: Taking taylor expansion of (* (sqrt (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/6)) in N 1.981 * [taylor]: Taking taylor expansion of (sqrt (cbrt -1)) in N 1.981 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.981 * [taylor]: Taking taylor expansion of -1 in N 1.983 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/6) in N 1.983 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (* N (- 1.0 (/ 1 N)))))) in N 1.983 * [taylor]: Taking taylor expansion of (* 1/6 (log (* N (- 1.0 (/ 1 N))))) in N 1.983 * [taylor]: Taking taylor expansion of 1/6 in N 1.983 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) 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 2.072 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1) 2.072 * [approximate]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in (N) around 0 2.072 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 2.072 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 2.072 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 2.072 * [taylor]: Taking taylor expansion of 1/3 in N 2.072 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.072 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.072 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.072 * [taylor]: Taking taylor expansion of N in N 2.072 * [taylor]: Taking taylor expansion of 1.0 in N 2.072 * [taylor]: Taking taylor expansion of N in N 2.074 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 2.074 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 2.074 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 2.074 * [taylor]: Taking taylor expansion of 1/3 in N 2.074 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.074 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.075 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.075 * [taylor]: Taking taylor expansion of N in N 2.075 * [taylor]: Taking taylor expansion of 1.0 in N 2.075 * [taylor]: Taking taylor expansion of N in N 2.110 * [approximate]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in (N) around 0 2.110 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 2.110 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 2.110 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 2.110 * [taylor]: Taking taylor expansion of 1/3 in N 2.110 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.110 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.110 * [taylor]: Taking taylor expansion of N in N 2.110 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.110 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.110 * [taylor]: Taking taylor expansion of N in N 2.110 * [taylor]: Taking taylor expansion of 1.0 in N 2.119 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 2.119 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 2.119 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 2.120 * [taylor]: Taking taylor expansion of 1/3 in N 2.120 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.120 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.120 * [taylor]: Taking taylor expansion of N in N 2.120 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.120 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.120 * [taylor]: Taking taylor expansion of N in N 2.120 * [taylor]: Taking taylor expansion of 1.0 in N 2.144 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in (N) around 0 2.144 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 2.144 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.144 * [taylor]: Taking taylor expansion of -1 in N 2.145 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 2.145 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 2.145 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 2.145 * [taylor]: Taking taylor expansion of 1/3 in N 2.145 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 2.145 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.145 * [taylor]: Taking taylor expansion of N in N 2.145 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.145 * [taylor]: Taking taylor expansion of 1.0 in N 2.145 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.145 * [taylor]: Taking taylor expansion of N in N 2.149 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 2.149 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.149 * [taylor]: Taking taylor expansion of -1 in N 2.150 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 2.150 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 2.150 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 2.150 * [taylor]: Taking taylor expansion of 1/3 in N 2.150 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 2.150 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.150 * [taylor]: Taking taylor expansion of N in N 2.150 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.150 * [taylor]: Taking taylor expansion of 1.0 in N 2.150 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.150 * [taylor]: Taking taylor expansion of N in N 2.204 * * * [progress]: simplifying candidates 2.207 * [simplify]: Simplifying using # : (log (* (cbrt (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (cbrt (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))))) (log (cbrt (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ 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)) (cbrt (/ (+ N 1.0) N)))))) (log 1) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (sqrt (* (cbrt N) (cbrt N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0))))) (log (sqrt (cbrt N))) (log (sqrt (* (cbrt (+ N 1.0)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (/ (+ N 1.0) N)) (log (cbrt (/ (+ N 1.0) N))) (log (* (/ (+ N 1.0) N) (/ (+ N 1.0) N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (/ (+ N 1.0) N)) (log (cbrt (/ (+ N 1.0) N))) (log (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))))) (exp (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))))) (* (cbrt (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))))) (cbrt (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))))) (cbrt (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))))) (* (* (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))))) (sqrt (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))))) (sqrt (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ 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 (* (cbrt (sqrt (cbrt (/ (+ N 1.0) N)))) (cbrt (sqrt (cbrt (/ (+ N 1.0) N)))))) (log (cbrt (sqrt (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))))) (log (sqrt (cbrt (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))))) (log (sqrt (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (sqrt (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))))) (log (sqrt (cbrt (/ (cbrt (+ N 1.0)) (sqrt N))))) (log (sqrt (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)))) (log (sqrt (cbrt (/ (cbrt (+ N 1.0)) N)))) (log (sqrt (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))))) (log (sqrt (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))))) (log (sqrt (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))))) (log (sqrt (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))))) (log 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Trying 1 branch expressions: (N) 2.822 * * * * [regimes]: Trying to branch on N from (# # # #) 2.846 * * * [regime]: Found split indices: #