12.415 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.044 * * * [progress]: [2/2] Setting up program. 0.047 * [progress]: [Phase 2 of 3] Improving. 0.047 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.050 * * [simplify]: iteration 0 : 7 enodes (cost 7 ) 0.050 * * [simplify]: iteration 1 : 7 enodes (cost 7 ) 0.050 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.050 * * [progress]: iteration 1 / 4 0.050 * * * [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 1) 0.063 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.071 * * * [progress]: generating series expansions 0.071 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.071 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 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 0.071 * [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 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.072 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.072 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.072 * [taylor]: Taking taylor expansion of N in N 0.072 * [taylor]: Taking taylor expansion of 1.0 in N 0.072 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.072 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.072 * [taylor]: Taking taylor expansion of N in N 0.072 * [taylor]: Taking taylor expansion of 1.0 in N 0.073 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.073 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.073 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.073 * [taylor]: Taking taylor expansion of 1.0 in N 0.073 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.073 * [taylor]: Taking taylor expansion of N in N 0.073 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.073 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.073 * [taylor]: Taking taylor expansion of 1.0 in N 0.073 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.073 * [taylor]: Taking taylor expansion of N in N 0.074 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.074 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.074 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.074 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.074 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.074 * [taylor]: Taking taylor expansion of N in N 0.074 * [taylor]: Taking taylor expansion of 1.0 in N 0.074 * [taylor]: Taking taylor expansion of (log N) in N 0.074 * [taylor]: Taking taylor expansion of N in N 0.074 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.074 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.074 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.074 * [taylor]: Taking taylor expansion of N in N 0.074 * [taylor]: Taking taylor expansion of 1.0 in N 0.074 * [taylor]: Taking taylor expansion of (log N) in N 0.074 * [taylor]: Taking taylor expansion of N in N 0.075 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.075 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.076 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.076 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.076 * [taylor]: Taking taylor expansion of N in N 0.076 * [taylor]: Taking taylor expansion of 1.0 in N 0.076 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.076 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.076 * [taylor]: Taking taylor expansion of N in N 0.076 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.076 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.076 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.076 * [taylor]: Taking taylor expansion of N in N 0.076 * [taylor]: Taking taylor expansion of 1.0 in N 0.076 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.076 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.076 * [taylor]: Taking taylor expansion of N in N 0.078 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.078 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.078 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.078 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.078 * [taylor]: Taking taylor expansion of 1.0 in N 0.078 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.078 * [taylor]: Taking taylor expansion of N in N 0.078 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.078 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.078 * [taylor]: Taking taylor expansion of -1 in N 0.078 * [taylor]: Taking taylor expansion of N in N 0.078 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.078 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.078 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.078 * [taylor]: Taking taylor expansion of 1.0 in N 0.078 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.078 * [taylor]: Taking taylor expansion of N in N 0.078 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.078 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.078 * [taylor]: Taking taylor expansion of -1 in N 0.078 * [taylor]: Taking taylor expansion of N in N 0.079 * * * [progress]: simplifying candidates 0.080 * [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)))) (neg (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log (neg 1))) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (log 1) (+ (* 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)))) (- (+ (* 1.0 (/ 1 N)) (log (neg 1))) (+ (* 0.5 (/ 1 (pow N 2))) (log -1))) 0.131 * * [simplify]: iteration 0 : 4952 enodes (cost 422 ) 0.132 * * [simplify]: iteration 1 : 4952 enodes (cost 422 ) 0.134 * [simplify]: Simplified to: (* (log (cbrt (+ N 1.0))) 2) (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)))) (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) (log N)) (* (log (+ N 1.0)) (+ (log (+ N 1.0)) (log N)))) (neg (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (* 2 (log (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)))) (log N)) (+ (log (- N 1.0)) (log N)) (+ (log 1.0) (* N (- 1.0 (/ (* N 1/2) (* 1.0 1.0))))) (+ (log N) (/ (- 1.0 (/ 0.5 N)) N)) (+ (log N) (/ (- 1.0 (/ 0.5 N)) N)) (+ (log 1.0) (- (* N (- 1.0 (/ (* N 1/2) (* 1.0 1.0)))) (log N))) (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N))) (/ (- 1.0 (/ 0.5 N)) N) 0.134 * * * [progress]: adding candidates to table 0.209 * * [progress]: iteration 2 / 4 0.209 * * * [progress]: picking best candidate 0.213 * * * * [pick]: Picked # 0.213 * * * [progress]: localizing error 0.218 * * * [progress]: generating rewritten candidates 0.218 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.221 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.228 * * * [progress]: generating series expansions 0.228 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.229 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.229 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.229 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.229 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.229 * [taylor]: Taking taylor expansion of N in N 0.229 * [taylor]: Taking taylor expansion of 1.0 in N 0.229 * [taylor]: Taking taylor expansion of N in N 0.229 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.229 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.229 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.229 * [taylor]: Taking taylor expansion of N in N 0.229 * [taylor]: Taking taylor expansion of 1.0 in N 0.229 * [taylor]: Taking taylor expansion of N in N 0.230 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.230 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.230 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.230 * [taylor]: Taking taylor expansion of N in N 0.230 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.230 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.230 * [taylor]: Taking taylor expansion of N in N 0.230 * [taylor]: Taking taylor expansion of 1.0 in N 0.230 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.230 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.230 * [taylor]: Taking taylor expansion of N in N 0.230 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.230 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.230 * [taylor]: Taking taylor expansion of N in N 0.230 * [taylor]: Taking taylor expansion of 1.0 in N 0.231 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.231 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.231 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.231 * [taylor]: Taking taylor expansion of -1 in N 0.231 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.231 * [taylor]: Taking taylor expansion of N in N 0.231 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.231 * [taylor]: Taking taylor expansion of 1.0 in N 0.231 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.231 * [taylor]: Taking taylor expansion of N in N 0.231 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.231 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.231 * [taylor]: Taking taylor expansion of -1 in N 0.231 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.231 * [taylor]: Taking taylor expansion of N in N 0.231 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.231 * [taylor]: Taking taylor expansion of 1.0 in N 0.231 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.231 * [taylor]: Taking taylor expansion of N in N 0.232 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.232 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.232 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.233 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.233 * [taylor]: Taking taylor expansion of N in N 0.233 * [taylor]: Taking taylor expansion of 1.0 in N 0.233 * [taylor]: Taking taylor expansion of N in N 0.233 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.233 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.233 * [taylor]: Taking taylor expansion of N in N 0.233 * [taylor]: Taking taylor expansion of 1.0 in N 0.233 * [taylor]: Taking taylor expansion of N in N 0.233 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.233 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.233 * [taylor]: Taking taylor expansion of N in N 0.233 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.233 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.234 * [taylor]: Taking taylor expansion of N in N 0.234 * [taylor]: Taking taylor expansion of 1.0 in N 0.234 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.234 * [taylor]: Taking taylor expansion of N in N 0.234 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.234 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.234 * [taylor]: Taking taylor expansion of N in N 0.234 * [taylor]: Taking taylor expansion of 1.0 in N 0.235 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.235 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.235 * [taylor]: Taking taylor expansion of -1 in N 0.235 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.235 * [taylor]: Taking taylor expansion of N in N 0.235 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.235 * [taylor]: Taking taylor expansion of 1.0 in N 0.235 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.235 * [taylor]: Taking taylor expansion of N in N 0.235 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.235 * [taylor]: Taking taylor expansion of -1 in N 0.235 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.235 * [taylor]: Taking taylor expansion of N in N 0.235 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.235 * [taylor]: Taking taylor expansion of 1.0 in N 0.235 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.235 * [taylor]: Taking taylor expansion of N in N 0.237 * * * [progress]: simplifying candidates 0.238 * [simplify]: Simplifying using # : (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (neg (+ N 1.0)) (neg N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.275 * * [simplify]: iteration 0 : 5054 enodes (cost 615 ) 0.278 * [simplify]: Simplified to: (* (log (cbrt (/ (+ N 1.0) N))) 2) (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))) (- (* 2 (log (cbrt (+ N 1.0)))) (log (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))) (* 2 (log (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)) (* -2 (log (cbrt N))) (log (/ (+ N 1.0) (cbrt N))) (neg (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log 1) (log (/ (+ N 1.0) N)) (* -2 (log (cbrt N))) (log (/ (+ N 1.0) (cbrt N))) (neg (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log 1) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (neg (log N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (neg (+ N 1.0)) (neg N) (* (cbrt (+ N 1.0)) (/ (cbrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (/ (cbrt (+ N 1.0)) (cbrt N)) (* (cbrt (+ N 1.0)) (/ (cbrt (+ N 1.0)) (sqrt N))) (/ (cbrt (+ N 1.0)) (sqrt N)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (+ N 1.0) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (+ (pow N 3) (* N (* 1.0 (- 1.0 N)))) (* N (- N 1.0)) (+ (* N 1.0) (- (log 1.0) (+ (log N) (* N (/ (* N 1/2) (* 1.0 1.0)))))) (+ (log 1) (/ (- 1.0 (/ 0.5 N)) N)) (+ (log 1) (/ (- 1.0 (/ 0.5 N)) N)) (+ 1 (/ 1.0 N)) (+ 1 (/ 1.0 N)) (+ 1 (/ 1.0 N)) 0.278 * * * [progress]: adding candidates to table 0.350 * * [progress]: iteration 3 / 4 0.350 * * * [progress]: picking best candidate 0.360 * * * * [pick]: Picked # 0.360 * * * [progress]: localizing error 0.367 * * * [progress]: generating rewritten candidates 0.367 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.372 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.377 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.382 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.390 * * * [progress]: generating series expansions 0.390 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.391 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 0.391 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.391 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.391 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.391 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.391 * [taylor]: Taking taylor expansion of N in N 0.391 * [taylor]: Taking taylor expansion of 1.0 in N 0.391 * [taylor]: Taking taylor expansion of N in N 0.391 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.391 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.391 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.391 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.391 * [taylor]: Taking taylor expansion of N in N 0.391 * [taylor]: Taking taylor expansion of 1.0 in N 0.391 * [taylor]: Taking taylor expansion of N in N 0.393 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 0.393 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.393 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.393 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.393 * [taylor]: Taking taylor expansion of N in N 0.393 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.393 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.393 * [taylor]: Taking taylor expansion of N in N 0.393 * [taylor]: Taking taylor expansion of 1.0 in N 0.393 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.393 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.393 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.393 * [taylor]: Taking taylor expansion of N in N 0.393 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.393 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.393 * [taylor]: Taking taylor expansion of N in N 0.393 * [taylor]: Taking taylor expansion of 1.0 in N 0.394 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 0.394 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.394 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.394 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.394 * [taylor]: Taking taylor expansion of -1 in N 0.394 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.394 * [taylor]: Taking taylor expansion of N in N 0.394 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.394 * [taylor]: Taking taylor expansion of 1.0 in N 0.394 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.394 * [taylor]: Taking taylor expansion of N in N 0.395 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.395 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.395 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.395 * [taylor]: Taking taylor expansion of -1 in N 0.395 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.395 * [taylor]: Taking taylor expansion of N in N 0.395 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.395 * [taylor]: Taking taylor expansion of 1.0 in N 0.395 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.395 * [taylor]: Taking taylor expansion of N in N 0.396 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.396 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 0.396 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.396 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.396 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.396 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.396 * [taylor]: Taking taylor expansion of N in N 0.396 * [taylor]: Taking taylor expansion of 1.0 in N 0.396 * [taylor]: Taking taylor expansion of N in N 0.396 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.396 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.396 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.396 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.396 * [taylor]: Taking taylor expansion of N in N 0.396 * [taylor]: Taking taylor expansion of 1.0 in N 0.396 * [taylor]: Taking taylor expansion of N in N 0.398 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 0.398 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.398 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.398 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.398 * [taylor]: Taking taylor expansion of N in N 0.398 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.398 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.398 * [taylor]: Taking taylor expansion of N in N 0.398 * [taylor]: Taking taylor expansion of 1.0 in N 0.398 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.398 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.398 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.398 * [taylor]: Taking taylor expansion of N in N 0.398 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.398 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.398 * [taylor]: Taking taylor expansion of N in N 0.398 * [taylor]: Taking taylor expansion of 1.0 in N 0.399 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 0.399 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.399 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.399 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.399 * [taylor]: Taking taylor expansion of -1 in N 0.399 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.399 * [taylor]: Taking taylor expansion of N in N 0.399 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.400 * [taylor]: Taking taylor expansion of 1.0 in N 0.400 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.400 * [taylor]: Taking taylor expansion of N in N 0.400 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.400 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.400 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.400 * [taylor]: Taking taylor expansion of -1 in N 0.400 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.400 * [taylor]: Taking taylor expansion of N in N 0.400 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.400 * [taylor]: Taking taylor expansion of 1.0 in N 0.400 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.400 * [taylor]: Taking taylor expansion of N in N 0.401 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.401 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 0.401 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.401 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.401 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.401 * [taylor]: Taking taylor expansion of N in N 0.401 * [taylor]: Taking taylor expansion of 1.0 in N 0.401 * [taylor]: Taking taylor expansion of N in N 0.401 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.401 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.401 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.401 * [taylor]: Taking taylor expansion of N in N 0.401 * [taylor]: Taking taylor expansion of 1.0 in N 0.401 * [taylor]: Taking taylor expansion of N in N 0.402 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.402 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.402 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.402 * [taylor]: Taking taylor expansion of N in N 0.402 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.402 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.402 * [taylor]: Taking taylor expansion of N in N 0.402 * [taylor]: Taking taylor expansion of 1.0 in N 0.403 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.403 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.403 * [taylor]: Taking taylor expansion of N in N 0.403 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.403 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.403 * [taylor]: Taking taylor expansion of N in N 0.403 * [taylor]: Taking taylor expansion of 1.0 in N 0.403 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.403 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.403 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.403 * [taylor]: Taking taylor expansion of -1 in N 0.403 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.403 * [taylor]: Taking taylor expansion of N in N 0.403 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.403 * [taylor]: Taking taylor expansion of 1.0 in N 0.403 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.403 * [taylor]: Taking taylor expansion of N in N 0.404 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.404 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.404 * [taylor]: Taking taylor expansion of -1 in N 0.404 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.404 * [taylor]: Taking taylor expansion of N in N 0.404 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.404 * [taylor]: Taking taylor expansion of 1.0 in N 0.404 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.404 * [taylor]: Taking taylor expansion of N in N 0.405 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.405 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 0.405 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.405 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.405 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.405 * [taylor]: Taking taylor expansion of N in N 0.405 * [taylor]: Taking taylor expansion of 1.0 in N 0.405 * [taylor]: Taking taylor expansion of N in N 0.405 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.405 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.405 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.405 * [taylor]: Taking taylor expansion of N in N 0.405 * [taylor]: Taking taylor expansion of 1.0 in N 0.405 * [taylor]: Taking taylor expansion of N in N 0.406 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.406 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.406 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.406 * [taylor]: Taking taylor expansion of N in N 0.406 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.406 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.406 * [taylor]: Taking taylor expansion of N in N 0.406 * [taylor]: Taking taylor expansion of 1.0 in N 0.406 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.406 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.406 * [taylor]: Taking taylor expansion of N in N 0.406 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.406 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.406 * [taylor]: Taking taylor expansion of N in N 0.406 * [taylor]: Taking taylor expansion of 1.0 in N 0.407 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.407 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.407 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.407 * [taylor]: Taking taylor expansion of -1 in N 0.407 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.407 * [taylor]: Taking taylor expansion of N in N 0.407 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.407 * [taylor]: Taking taylor expansion of 1.0 in N 0.407 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.407 * [taylor]: Taking taylor expansion of N in N 0.407 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.407 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.407 * [taylor]: Taking taylor expansion of -1 in N 0.407 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.407 * [taylor]: Taking taylor expansion of N in N 0.407 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.407 * [taylor]: Taking taylor expansion of 1.0 in N 0.407 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.407 * [taylor]: Taking taylor expansion of N in N 0.408 * * * [progress]: simplifying candidates 0.410 * [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))) (- (+ (* 3/2 (* (pow N 2) (pow NAN 4))) (+ N (log NAN))) (+ (* 1/2 (pow N 2)) (+ (* N (pow NAN 2)) (* (pow N 2) (pow NAN 2))))) (- (+ (* 0.5 (/ 1 N)) (log 1)) (* 0.25 (/ 1 (pow N 2)))) (- (+ (* 0.5 (/ 1 N)) (log 1)) (* 0.25 (/ 1 (pow N 2)))) (- (+ (* 3/2 (* (pow N 2) (pow NAN 4))) (+ N (log NAN))) (+ (* 1/2 (pow N 2)) (+ (* N (pow NAN 2)) (* (pow N 2) (pow NAN 2))))) (- (+ (* 0.5 (/ 1 N)) (log 1)) (* 0.25 (/ 1 (pow N 2)))) (- (+ (* 0.5 (/ 1 N)) (log 1)) (* 0.25 (/ 1 (pow N 2)))) (- (+ (* 2 (* (pow NAN 5) (pow N 2))) (+ NAN (* N NAN))) (+ (* 2 (* (pow NAN 3) (pow N 2))) (* N (pow NAN 3)))) (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) (- (+ (* 2 (* (pow NAN 5) (pow N 2))) (+ NAN (* N NAN))) (+ (* 2 (* (pow NAN 3) (pow N 2))) (* N (pow NAN 3)))) (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 0.457 * * [simplify]: iteration 0 : 5068 enodes (cost 1440 ) 0.463 * [simplify]: Simplified to: (* (log (cbrt (sqrt (/ (+ N 1.0) N)))) 2) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (fabs (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 (fabs (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (fabs (/ (cbrt (+ N 1.0)) (pow N 1/4)))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (fabs (cbrt (+ N 1.0)))) (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)))) (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 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 1) (log (sqrt (/ (+ N 1.0) N))) (log 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)))) (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 (cbrt (sqrt (/ (+ N 1.0) N)))) 2) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (fabs (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 (fabs (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (fabs (/ (cbrt (+ N 1.0)) (pow N 1/4)))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (fabs (cbrt (+ N 1.0)))) (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)))) (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 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 1) (log (sqrt (/ (+ N 1.0) N))) (log 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)))) (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))) (fabs (/ (cbrt (+ N 1.0)) (pow N 1/4))) (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))) (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))) 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))) 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))) (fabs (/ (cbrt (+ N 1.0)) (pow N 1/4))) (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))) (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))) 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))) 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))) (+ N (+ (log NAN) (* N (- (* N (- (* 3/2 (pow NAN 4)) 1/2)) (* NAN (+ NAN (* N NAN))))))) (+ (log 1) (/ (- 0.5 (/ 0.25 N)) N)) (+ (log 1) (/ (- 0.5 (/ 0.25 N)) N)) (+ N (+ (log NAN) (* N (- (* N (- (* 3/2 (pow NAN 4)) 1/2)) (* NAN (+ NAN (* N NAN))))))) (+ (log 1) (/ (- 0.5 (/ 0.25 N)) N)) (+ (log 1) (/ (- 0.5 (/ 0.25 N)) N)) (+ NAN (* N (+ NAN (- (* N (* 2 (- (pow NAN 5) (pow NAN 3)))) (pow NAN 3))))) (+ 1 (/ (- 0.5 (/ 0.125 N)) N)) (+ 1 (/ (- 0.5 (/ 0.125 N)) N)) (+ NAN (* N (+ NAN (- (* N (* 2 (- (pow NAN 5) (pow NAN 3)))) (pow NAN 3))))) (+ 1 (/ (- 0.5 (/ 0.125 N)) N)) (+ 1 (/ (- 0.5 (/ 0.125 N)) N)) 0.464 * * * [progress]: adding candidates to table 0.684 * * [progress]: iteration 4 / 4 0.684 * * * [progress]: picking best candidate 0.689 * * * * [pick]: Picked # 0.689 * * * [progress]: localizing error 0.706 * * * [progress]: generating rewritten candidates 0.706 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.722 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.726 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 0.728 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 1) 0.734 * * * [progress]: generating series expansions 0.734 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.734 * [approximate]: Taking taylor expansion of (- (+ (log (sqrt (+ N 1.0))) (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0))))) (* 2 (log (pow N 1/3)))) in (N) around 0 0.734 * [taylor]: Taking taylor expansion of (- (+ (log (sqrt (+ N 1.0))) (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0))))) (* 2 (log (pow N 1/3)))) in N 0.734 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0))))) in N 0.735 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 0.735 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.735 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.735 * [taylor]: Taking taylor expansion of N in N 0.735 * [taylor]: Taking taylor expansion of 1.0 in N 0.735 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0)))) in N 0.735 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0))) in N 0.735 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.735 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.735 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.735 * [taylor]: Taking taylor expansion of 1/3 in N 0.735 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.735 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.735 * [taylor]: Taking taylor expansion of N in N 0.735 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.735 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.735 * [taylor]: Taking taylor expansion of N in N 0.735 * [taylor]: Taking taylor expansion of 1.0 in N 0.735 * [taylor]: Taking taylor expansion of (* 2 (log (pow N 1/3))) in N 0.735 * [taylor]: Taking taylor expansion of 2 in N 0.735 * [taylor]: Taking taylor expansion of (log (pow N 1/3)) in N 0.735 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.735 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.735 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.735 * [taylor]: Taking taylor expansion of 1/3 in N 0.735 * [taylor]: Taking taylor expansion of (log N) in N 0.735 * [taylor]: Taking taylor expansion of N in N 0.736 * [taylor]: Taking taylor expansion of (- (+ (log (sqrt (+ N 1.0))) (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0))))) (* 2 (log (pow N 1/3)))) in N 0.736 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0))))) in N 0.736 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 0.736 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.736 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.736 * [taylor]: Taking taylor expansion of N in N 0.736 * [taylor]: Taking taylor expansion of 1.0 in N 0.736 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0)))) in N 0.736 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0))) in N 0.736 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.736 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.736 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.736 * [taylor]: Taking taylor expansion of 1/3 in N 0.736 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.736 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.736 * [taylor]: Taking taylor expansion of N in N 0.736 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.736 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.736 * [taylor]: Taking taylor expansion of N in N 0.736 * [taylor]: Taking taylor expansion of 1.0 in N 0.736 * [taylor]: Taking taylor expansion of (* 2 (log (pow N 1/3))) in N 0.736 * [taylor]: Taking taylor expansion of 2 in N 0.736 * [taylor]: Taking taylor expansion of (log (pow N 1/3)) in N 0.736 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.736 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.736 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.736 * [taylor]: Taking taylor expansion of 1/3 in N 0.737 * [taylor]: Taking taylor expansion of (log N) in N 0.737 * [taylor]: Taking taylor expansion of N in N 0.742 * [approximate]: Taking taylor expansion of (- (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0))))) (* 2 (log (pow (/ 1 N) 1/3)))) in (N) around 0 0.742 * [taylor]: Taking taylor expansion of (- (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0))))) (* 2 (log (pow (/ 1 N) 1/3)))) in N 0.742 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0))))) in N 0.742 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 0.742 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 0.742 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.742 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.742 * [taylor]: Taking taylor expansion of N in N 0.742 * [taylor]: Taking taylor expansion of 1.0 in N 0.742 * [taylor]: Taking taylor expansion of (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0)))) in N 0.742 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0))) in N 0.742 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.742 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.743 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.743 * [taylor]: Taking taylor expansion of 1/3 in N 0.743 * [taylor]: Taking taylor expansion of (log N) in N 0.743 * [taylor]: Taking taylor expansion of N in N 0.743 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 0.743 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.743 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.743 * [taylor]: Taking taylor expansion of N in N 0.743 * [taylor]: Taking taylor expansion of 1.0 in N 0.743 * [taylor]: Taking taylor expansion of (* 2 (log (pow (/ 1 N) 1/3))) in N 0.743 * [taylor]: Taking taylor expansion of 2 in N 0.743 * [taylor]: Taking taylor expansion of (log (pow (/ 1 N) 1/3)) in N 0.743 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.743 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.743 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.743 * [taylor]: Taking taylor expansion of 1/3 in N 0.743 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.743 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.743 * [taylor]: Taking taylor expansion of N in N 0.744 * [taylor]: Taking taylor expansion of (- (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0))))) (* 2 (log (pow (/ 1 N) 1/3)))) in N 0.744 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0))))) in N 0.744 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 0.744 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 0.744 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.744 * [taylor]: Taking taylor expansion of (/ 1 N) 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 (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0)))) in N 0.744 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0))) in N 0.744 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.744 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.744 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.744 * [taylor]: Taking taylor expansion of 1/3 in N 0.744 * [taylor]: Taking taylor expansion of (log N) in N 0.744 * [taylor]: Taking taylor expansion of N in N 0.744 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 0.744 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.744 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.744 * [taylor]: Taking taylor expansion of N in N 0.744 * [taylor]: Taking taylor expansion of 1.0 in N 0.745 * [taylor]: Taking taylor expansion of (* 2 (log (pow (/ 1 N) 1/3))) in N 0.745 * [taylor]: Taking taylor expansion of 2 in N 0.745 * [taylor]: Taking taylor expansion of (log (pow (/ 1 N) 1/3)) in N 0.745 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.745 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.745 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.745 * [taylor]: Taking taylor expansion of 1/3 in N 0.745 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.745 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.745 * [taylor]: Taking taylor expansion of N in N 0.753 * [approximate]: Taking taylor expansion of (- (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N))))))) (* 2 (log (* (cbrt -1) (pow (/ 1 N) 1/3))))) in (N) around 0 0.753 * [taylor]: Taking taylor expansion of (- (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N))))))) (* 2 (log (* (cbrt -1) (pow (/ 1 N) 1/3))))) in N 0.753 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N))))))) in N 0.753 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 0.753 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 0.753 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.753 * [taylor]: Taking taylor expansion of 1.0 in N 0.753 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.753 * [taylor]: Taking taylor expansion of N in N 0.753 * [taylor]: Taking taylor expansion of (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N)))))) in N 0.753 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N))))) in N 0.753 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 0.753 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.753 * [taylor]: Taking taylor expansion of -1 in N 0.753 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N)))) in N 0.753 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.754 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.754 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.754 * [taylor]: Taking taylor expansion of 1/3 in N 0.754 * [taylor]: Taking taylor expansion of (log N) in N 0.754 * [taylor]: Taking taylor expansion of N in N 0.754 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 0.754 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.754 * [taylor]: Taking taylor expansion of 1.0 in N 0.754 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.754 * [taylor]: Taking taylor expansion of N in N 0.755 * [taylor]: Taking taylor expansion of (* 2 (log (* (cbrt -1) (pow (/ 1 N) 1/3)))) in N 0.755 * [taylor]: Taking taylor expansion of 2 in N 0.755 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (/ 1 N) 1/3))) in N 0.755 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.755 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.755 * [taylor]: Taking taylor expansion of -1 in N 0.755 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.755 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.755 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.755 * [taylor]: Taking taylor expansion of 1/3 in N 0.755 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.755 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.755 * [taylor]: Taking taylor expansion of N in N 0.755 * [taylor]: Taking taylor expansion of (- (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N))))))) (* 2 (log (* (cbrt -1) (pow (/ 1 N) 1/3))))) in N 0.755 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N))))))) in N 0.755 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 0.755 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 0.755 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.755 * [taylor]: Taking taylor expansion of 1.0 in N 0.755 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.755 * [taylor]: Taking taylor expansion of N in N 0.756 * [taylor]: Taking taylor expansion of (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N)))))) in N 0.756 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N))))) in N 0.756 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 0.756 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.756 * [taylor]: Taking taylor expansion of -1 in N 0.756 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N)))) in N 0.756 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.756 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.756 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.756 * [taylor]: Taking taylor expansion of 1/3 in N 0.756 * [taylor]: Taking taylor expansion of (log N) in N 0.756 * [taylor]: Taking taylor expansion of N in N 0.756 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 0.756 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.756 * [taylor]: Taking taylor expansion of 1.0 in N 0.756 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.756 * [taylor]: Taking taylor expansion of N in N 0.757 * [taylor]: Taking taylor expansion of (* 2 (log (* (cbrt -1) (pow (/ 1 N) 1/3)))) in N 0.757 * [taylor]: Taking taylor expansion of 2 in N 0.757 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (/ 1 N) 1/3))) in N 0.757 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.757 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.757 * [taylor]: Taking taylor expansion of -1 in N 0.757 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.757 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.757 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.757 * [taylor]: Taking taylor expansion of 1/3 in N 0.757 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.757 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.757 * [taylor]: Taking taylor expansion of N in N 0.770 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.770 * [approximate]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in (N) around 0 0.770 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 0.770 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.770 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.770 * [taylor]: Taking taylor expansion of N in N 0.770 * [taylor]: Taking taylor expansion of 1.0 in N 0.770 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 0.770 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.770 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.770 * [taylor]: Taking taylor expansion of N in N 0.770 * [taylor]: Taking taylor expansion of 1.0 in N 0.771 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in (N) around 0 0.772 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 0.772 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 0.772 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.772 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.772 * [taylor]: Taking taylor expansion of N in N 0.772 * [taylor]: Taking taylor expansion of 1.0 in N 0.772 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 0.772 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 0.772 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.772 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.772 * [taylor]: Taking taylor expansion of N in N 0.772 * [taylor]: Taking taylor expansion of 1.0 in N 0.774 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in (N) around 0 0.774 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 0.774 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 0.774 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.774 * [taylor]: Taking taylor expansion of 1.0 in N 0.774 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.774 * [taylor]: Taking taylor expansion of N in N 0.774 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 0.774 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 0.774 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.774 * [taylor]: Taking taylor expansion of 1.0 in N 0.774 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.774 * [taylor]: Taking taylor expansion of N in N 0.776 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 0.776 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 0.776 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.776 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.776 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.776 * [taylor]: Taking taylor expansion of 1/3 in N 0.776 * [taylor]: Taking taylor expansion of (log N) in N 0.776 * [taylor]: Taking taylor expansion of N in N 0.776 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.776 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.776 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.776 * [taylor]: Taking taylor expansion of 1/3 in N 0.776 * [taylor]: Taking taylor expansion of (log N) in N 0.776 * [taylor]: Taking taylor expansion of N in N 0.785 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 0.785 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.785 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.785 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.785 * [taylor]: Taking taylor expansion of 1/3 in N 0.785 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.785 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.785 * [taylor]: Taking taylor expansion of N in N 0.785 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.785 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.786 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.786 * [taylor]: Taking taylor expansion of 1/3 in N 0.786 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.786 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.786 * [taylor]: Taking taylor expansion of N in N 0.792 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 0.792 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.792 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.792 * [taylor]: Taking taylor expansion of -1 in N 0.792 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.792 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.792 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.792 * [taylor]: Taking taylor expansion of 1/3 in N 0.792 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.792 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.792 * [taylor]: Taking taylor expansion of N in N 0.792 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.792 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.792 * [taylor]: Taking taylor expansion of -1 in N 0.792 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.792 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.792 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.792 * [taylor]: Taking taylor expansion of 1/3 in N 0.792 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.792 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.792 * [taylor]: Taking taylor expansion of N in N 0.800 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 1) 0.800 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 0.800 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.800 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.800 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.800 * [taylor]: Taking taylor expansion of 1/3 in N 0.800 * [taylor]: Taking taylor expansion of (log N) in N 0.801 * [taylor]: Taking taylor expansion of N in N 0.801 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.801 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.801 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.801 * [taylor]: Taking taylor expansion of 1/3 in N 0.801 * [taylor]: Taking taylor expansion of (log N) in N 0.801 * [taylor]: Taking taylor expansion of N in N 0.806 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 0.806 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.806 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.807 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.807 * [taylor]: Taking taylor expansion of 1/3 in N 0.807 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.807 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.807 * [taylor]: Taking taylor expansion of N in N 0.807 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.807 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.807 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.807 * [taylor]: Taking taylor expansion of 1/3 in N 0.807 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.807 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.807 * [taylor]: Taking taylor expansion of N in N 0.814 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 0.814 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.814 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.814 * [taylor]: Taking taylor expansion of -1 in N 0.814 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.814 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.814 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.814 * [taylor]: Taking taylor expansion of 1/3 in N 0.814 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.814 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.814 * [taylor]: Taking taylor expansion of N in N 0.814 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.814 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.814 * [taylor]: Taking taylor expansion of -1 in N 0.814 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.815 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.815 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.815 * [taylor]: Taking taylor expansion of 1/3 in N 0.815 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.815 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.815 * [taylor]: Taking taylor expansion of N in N 0.822 * * * [progress]: simplifying candidates 0.824 * [simplify]: Simplifying using # : (* (/ (sqrt (+ N 1.0)) (exp (* 2 (log (cbrt N))))) (/ (sqrt (+ N 1.0)) (cbrt N))) (* (exp (- (log (sqrt (+ N 1.0))) (* 2 (log (cbrt N))))) (/ (sqrt (+ N 1.0)) (cbrt N))) (log (+ (- (log (sqrt (+ N 1.0))) (* 2 (log (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (exp (+ (- (log (sqrt (+ N 1.0))) (* 2 (log (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (* (cbrt (+ (- (log (sqrt (+ N 1.0))) (* 2 (log (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (cbrt (+ (- (log (sqrt (+ N 1.0))) (* 2 (log (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))))) (cbrt (+ (- (log (sqrt (+ N 1.0))) (* 2 (log (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (* (* (+ (- (log (sqrt (+ N 1.0))) (* 2 (log (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (- (log (sqrt (+ N 1.0))) (* 2 (log (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (+ (- (log (sqrt (+ N 1.0))) (* 2 (log (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (sqrt (+ (- (log (sqrt (+ N 1.0))) (* 2 (log (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (sqrt (+ (- (log (sqrt (+ N 1.0))) (* 2 (log (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (+ (pow (- (log (sqrt (+ N 1.0))) (* 2 (log (cbrt N)))) 3) (pow (log (/ (sqrt (+ N 1.0)) (cbrt N))) 3)) (+ (* (- (log (sqrt (+ N 1.0))) (* 2 (log (cbrt N)))) (- (log (sqrt (+ N 1.0))) (* 2 (log (cbrt N))))) (- (* (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (* (- (log (sqrt (+ N 1.0))) (* 2 (log (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))))) (- (* (- (log (sqrt (+ N 1.0))) (* 2 (log (cbrt N)))) (- (log (sqrt (+ N 1.0))) (* 2 (log (cbrt N))))) (* (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (- (- (log (sqrt (+ N 1.0))) (* 2 (log (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (- (log (sqrt (+ N 1.0))) (* 2 (log (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (- (log (sqrt (+ N 1.0))) (* 2 (log (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (- (log (sqrt (+ N 1.0))) (* 2 (log (cbrt N)))) (log (* (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))))) (+ (- (log (sqrt (+ N 1.0))) (* 2 (log (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))))) (+ (- (log (sqrt (+ N 1.0))) (* 2 (log (cbrt 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NAN N) NAN) (+ (/ 2.0 N) 2)))))))) (+ (* 3 (/ (pow NAN 4) (* N N))) (+ (log NAN) (+ (log (* (cbrt (/ -1 N)) (/ NAN (cbrt -1)))) (- (* 2 (* (/ NAN N) NAN)) (+ (/ 2.0 N) (+ (/ 1.0 (* N N)) (+ (* 2.0 (* (/ NAN N) (/ NAN N))) (* 2 (log (* (cbrt -1) (cbrt (neg N)))))))))))) (+ (log (sqrt 1.0)) (- (* N (/ 1/2 1.0)) (* (/ N 1.0) (* (/ N 1.0) 1/4)))) (+ (log NAN) (+ (* (/ (pow NAN 4) (* N N)) 3/2) (- (/ 1.0 N) (+ (/ 0.5 (* N N)) (* (+ (/ 1.0 N) 1) (* (/ NAN N) NAN)))))) (+ (log NAN) (+ (* (/ NAN N) NAN) (- (* (/ (pow NAN 4) (* N N)) 3/2) (+ (/ 1.0 N) (+ (/ 0.5 (* N N)) (* 1.0 (* (/ NAN N) (/ NAN N)))))))) (cbrt N) (cbrt N) (* (cbrt -1) (cbrt (neg N))) (cbrt N) (cbrt N) (* (cbrt -1) (cbrt (neg N))) 0.891 * * * [progress]: adding candidates to table 1.091 * [progress]: [Phase 3 of 3] Extracting. 1.091 * * [regime]: Finding splitpoints for: (# # #) 1.092 * * * [regime-changes]: Trying 1 branch expressions: (N) 1.092 * * * * [regimes]: Trying to branch on N from (# # #) 1.126 * * * [regime]: Found split indices: #