12.802 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.049 * * * [progress]: [2/2] Setting up program. 0.052 * [progress]: [Phase 2 of 3] Improving. 0.052 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.054 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.055 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.055 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.056 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.056 * * [progress]: iteration 1 / 4 0.056 * * * [progress]: picking best candidate 0.059 * * * * [pick]: Picked # 0.059 * * * [progress]: localizing error 0.065 * * * [progress]: generating rewritten candidates 0.065 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.069 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.076 * * * [progress]: generating series expansions 0.076 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.076 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.076 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.076 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.076 * [taylor]: Taking taylor expansion of N in N 0.076 * [taylor]: Taking taylor expansion of 1.0 in N 0.077 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.077 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.077 * [taylor]: Taking taylor expansion of N in N 0.077 * [taylor]: Taking taylor expansion of 1.0 in N 0.078 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.078 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 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 1.0 in N 0.078 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 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 0.079 * [taylor]: Taking taylor expansion of 1.0 in N 0.079 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.079 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.079 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.079 * [taylor]: Taking taylor expansion of 1.0 in N 0.079 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.079 * [taylor]: Taking taylor expansion of N in N 0.079 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.079 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.080 * [taylor]: Taking taylor expansion of 1.0 in N 0.080 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.080 * [taylor]: Taking taylor expansion of N in N 0.080 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.080 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.080 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.080 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.080 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.080 * [taylor]: Taking taylor expansion of N in N 0.080 * [taylor]: Taking taylor expansion of 1.0 in N 0.081 * [taylor]: Taking taylor expansion of (log N) in N 0.081 * [taylor]: Taking taylor expansion of N in N 0.081 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.081 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.081 * [taylor]: Taking taylor expansion of (+ N 1.0) 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 N) in N 0.081 * [taylor]: Taking taylor expansion of N in N 0.082 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.082 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.082 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.082 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.082 * [taylor]: Taking taylor expansion of N in N 0.082 * [taylor]: Taking taylor expansion of 1.0 in N 0.082 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.082 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.082 * [taylor]: Taking taylor expansion of N in N 0.082 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.082 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.082 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.082 * [taylor]: Taking taylor expansion of N in N 0.082 * [taylor]: Taking taylor expansion of 1.0 in N 0.082 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.082 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.082 * [taylor]: Taking taylor expansion of N in N 0.084 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.084 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.084 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.084 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.084 * [taylor]: Taking taylor expansion of 1.0 in N 0.084 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.084 * [taylor]: Taking taylor expansion of N in N 0.084 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.084 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.084 * [taylor]: Taking taylor expansion of -1 in N 0.084 * [taylor]: Taking taylor expansion of N in N 0.085 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.085 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.085 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.085 * [taylor]: Taking taylor expansion of 1.0 in N 0.085 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.085 * [taylor]: Taking taylor expansion of N in N 0.085 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.085 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.085 * [taylor]: Taking taylor expansion of -1 in N 0.085 * [taylor]: Taking taylor expansion of N in N 0.086 * * * [progress]: simplifying candidates 0.087 * [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)) (neg (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))) 0.090 * * [simplify]: iteration 0 : 232 enodes (cost 285 ) 0.094 * * [simplify]: iteration 1 : 628 enodes (cost 264 ) 0.103 * * [simplify]: iteration 2 : 2171 enodes (cost 244 ) 0.142 * * [simplify]: iteration 3 : 5001 enodes (cost 244 ) 0.143 * [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) (log N)) (/ (/ 0.5 N) N)) (- (+ (/ 1.0 N) (log N)) (/ (/ 0.5 N) 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 N) (- 1.0 (/ 0.5 N))) 0.144 * * * [progress]: adding candidates to table 0.263 * * [progress]: iteration 2 / 4 0.263 * * * [progress]: picking best candidate 0.277 * * * * [pick]: Picked # 0.277 * * * [progress]: localizing error 0.285 * * * [progress]: generating rewritten candidates 0.285 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.289 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.296 * * * [progress]: generating series expansions 0.296 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.297 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.297 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.297 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.297 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.297 * [taylor]: Taking taylor expansion of N in N 0.297 * [taylor]: Taking taylor expansion of 1.0 in N 0.297 * [taylor]: Taking taylor expansion of N in N 0.297 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.297 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.297 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.297 * [taylor]: Taking taylor expansion of N in N 0.297 * [taylor]: Taking taylor expansion of 1.0 in N 0.297 * [taylor]: Taking taylor expansion of N in N 0.298 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.298 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.298 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.298 * [taylor]: Taking taylor expansion of N in N 0.298 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.298 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.298 * [taylor]: Taking taylor expansion of N in N 0.298 * [taylor]: Taking taylor expansion of 1.0 in N 0.299 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.299 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.299 * [taylor]: Taking taylor expansion of N in N 0.299 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.299 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.299 * [taylor]: Taking taylor expansion of N in N 0.299 * [taylor]: Taking taylor expansion of 1.0 in N 0.300 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.300 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.300 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.300 * [taylor]: Taking taylor expansion of -1 in N 0.300 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.300 * [taylor]: Taking taylor expansion of N in N 0.300 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.300 * [taylor]: Taking taylor expansion of 1.0 in N 0.300 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.300 * [taylor]: Taking taylor expansion of N in N 0.300 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.300 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.300 * [taylor]: Taking taylor expansion of -1 in N 0.300 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.300 * [taylor]: Taking taylor expansion of N in N 0.300 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.300 * [taylor]: Taking taylor expansion of 1.0 in N 0.300 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.300 * [taylor]: Taking taylor expansion of N in N 0.301 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.301 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.301 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.301 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.301 * [taylor]: Taking taylor expansion of N in N 0.301 * [taylor]: Taking taylor expansion of 1.0 in N 0.301 * [taylor]: Taking taylor expansion of N in N 0.301 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.301 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.301 * [taylor]: Taking taylor expansion of N in N 0.301 * [taylor]: Taking taylor expansion of 1.0 in N 0.301 * [taylor]: Taking taylor expansion of N in N 0.302 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.302 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.302 * [taylor]: Taking taylor expansion of N in N 0.302 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.302 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.302 * [taylor]: Taking taylor expansion of N in N 0.302 * [taylor]: Taking taylor expansion of 1.0 in N 0.302 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.302 * [taylor]: Taking taylor expansion of N in N 0.302 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.302 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.302 * [taylor]: Taking taylor expansion of N in N 0.303 * [taylor]: Taking taylor expansion of 1.0 in N 0.304 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.304 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.304 * [taylor]: Taking taylor expansion of -1 in N 0.304 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.304 * [taylor]: Taking taylor expansion of N in N 0.304 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.304 * [taylor]: Taking taylor expansion of 1.0 in N 0.304 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.304 * [taylor]: Taking taylor expansion of N in N 0.304 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.304 * [taylor]: Taking taylor expansion of -1 in N 0.304 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.304 * [taylor]: Taking taylor expansion of N in N 0.304 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.304 * [taylor]: Taking taylor expansion of 1.0 in N 0.304 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.304 * [taylor]: Taking taylor expansion of N in N 0.306 * * * [progress]: simplifying candidates 0.307 * [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) 0.310 * * [simplify]: iteration 0 : 221 enodes (cost 370 ) 0.314 * * [simplify]: iteration 1 : 736 enodes (cost 343 ) 0.326 * * [simplify]: iteration 2 : 3220 enodes (cost 333 ) 0.396 * * [simplify]: iteration 3 : 5002 enodes (cost 333 ) 0.399 * [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)) (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)) (* (+ (* 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 N) (- 1.0 (/ 0.5 N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.399 * * * [progress]: adding candidates to table 0.552 * * [progress]: iteration 3 / 4 0.552 * * * [progress]: picking best candidate 0.566 * * * * [pick]: Picked # 0.566 * * * [progress]: localizing error 0.574 * * * [progress]: generating rewritten candidates 0.574 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.581 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.587 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.591 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.600 * * * [progress]: generating series expansions 0.600 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.601 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 0.601 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.601 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.601 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.601 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.601 * [taylor]: Taking taylor expansion of N in N 0.601 * [taylor]: Taking taylor expansion of 1.0 in N 0.601 * [taylor]: Taking taylor expansion of N in N 0.601 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.601 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.601 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.601 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.601 * [taylor]: Taking taylor expansion of N in N 0.601 * [taylor]: Taking taylor expansion of 1.0 in N 0.601 * [taylor]: Taking taylor expansion of N in N 0.603 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 0.603 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.603 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.603 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.604 * [taylor]: Taking taylor expansion of N in N 0.604 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.604 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.604 * [taylor]: Taking taylor expansion of N in N 0.604 * [taylor]: Taking taylor expansion of 1.0 in N 0.604 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.604 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.604 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.604 * [taylor]: Taking taylor expansion of N in N 0.604 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.604 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.604 * [taylor]: Taking taylor expansion of N in N 0.604 * [taylor]: Taking taylor expansion of 1.0 in N 0.605 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 0.605 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.605 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.605 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.605 * [taylor]: Taking taylor expansion of -1 in N 0.605 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.605 * [taylor]: Taking taylor expansion of N in N 0.605 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.605 * [taylor]: Taking taylor expansion of 1.0 in N 0.605 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.605 * [taylor]: Taking taylor expansion of N in N 0.605 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.605 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.605 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.605 * [taylor]: Taking taylor expansion of -1 in N 0.605 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.605 * [taylor]: Taking taylor expansion of N in N 0.605 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.605 * [taylor]: Taking taylor expansion of 1.0 in N 0.605 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.605 * [taylor]: Taking taylor expansion of N in N 0.606 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.607 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 0.607 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.607 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.607 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.607 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.607 * [taylor]: Taking taylor expansion of N in N 0.607 * [taylor]: Taking taylor expansion of 1.0 in N 0.607 * [taylor]: Taking taylor expansion of N in N 0.607 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.607 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.607 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.607 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.607 * [taylor]: Taking taylor expansion of N in N 0.607 * [taylor]: Taking taylor expansion of 1.0 in N 0.607 * [taylor]: Taking taylor expansion of N in N 0.609 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 0.609 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.609 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.609 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.609 * [taylor]: Taking taylor expansion of N in N 0.609 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.609 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.609 * [taylor]: Taking taylor expansion of N in N 0.609 * [taylor]: Taking taylor expansion of 1.0 in N 0.609 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.609 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.609 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.609 * [taylor]: Taking taylor expansion of N in N 0.609 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.609 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.609 * [taylor]: Taking taylor expansion of N in N 0.609 * [taylor]: Taking taylor expansion of 1.0 in N 0.610 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 0.610 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.610 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.610 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.610 * [taylor]: Taking taylor expansion of -1 in N 0.610 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.610 * [taylor]: Taking taylor expansion of N in N 0.610 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.611 * [taylor]: Taking taylor expansion of 1.0 in N 0.611 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.611 * [taylor]: Taking taylor expansion of N in N 0.611 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.611 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.611 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.611 * [taylor]: Taking taylor expansion of -1 in N 0.611 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.611 * [taylor]: Taking taylor expansion of N in N 0.611 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.611 * [taylor]: Taking taylor expansion of 1.0 in N 0.611 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.611 * [taylor]: Taking taylor expansion of N in N 0.612 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.612 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 0.612 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.612 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.612 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.612 * [taylor]: Taking taylor expansion of N in N 0.612 * [taylor]: Taking taylor expansion of 1.0 in N 0.612 * [taylor]: Taking taylor expansion of N in N 0.612 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.612 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.612 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.612 * [taylor]: Taking taylor expansion of N in N 0.612 * [taylor]: Taking taylor expansion of 1.0 in N 0.612 * [taylor]: Taking taylor expansion of N in N 0.613 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.613 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.613 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.613 * [taylor]: Taking taylor expansion of N in N 0.613 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.613 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.613 * [taylor]: Taking taylor expansion of N in N 0.613 * [taylor]: Taking taylor expansion of 1.0 in N 0.614 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.614 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.614 * [taylor]: Taking taylor expansion of N in N 0.614 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.614 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.614 * [taylor]: Taking taylor expansion of N in N 0.614 * [taylor]: Taking taylor expansion of 1.0 in N 0.614 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.614 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.614 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.614 * [taylor]: Taking taylor expansion of -1 in N 0.614 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.614 * [taylor]: Taking taylor expansion of N in N 0.614 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.614 * [taylor]: Taking taylor expansion of 1.0 in N 0.614 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.615 * [taylor]: Taking taylor expansion of N in N 0.615 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.615 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.615 * [taylor]: Taking taylor expansion of -1 in N 0.615 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.615 * [taylor]: Taking taylor expansion of N in N 0.615 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.615 * [taylor]: Taking taylor expansion of 1.0 in N 0.615 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.615 * [taylor]: Taking taylor expansion of N in N 0.616 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.616 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 0.616 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.616 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.616 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.616 * [taylor]: Taking taylor expansion of N in N 0.616 * [taylor]: Taking taylor expansion of 1.0 in N 0.616 * [taylor]: Taking taylor expansion of N in N 0.616 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.616 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.616 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.616 * [taylor]: Taking taylor expansion of N in N 0.616 * [taylor]: Taking taylor expansion of 1.0 in N 0.616 * [taylor]: Taking taylor expansion of N in N 0.617 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.617 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.617 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.617 * [taylor]: Taking taylor expansion of N in N 0.617 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.617 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.617 * [taylor]: Taking taylor expansion of N in N 0.617 * [taylor]: Taking taylor expansion of 1.0 in N 0.618 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.618 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.618 * [taylor]: Taking taylor expansion of N in N 0.618 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.618 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.618 * [taylor]: Taking taylor expansion of N in N 0.618 * [taylor]: Taking taylor expansion of 1.0 in N 0.618 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.618 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.618 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.618 * [taylor]: Taking taylor expansion of -1 in N 0.618 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.618 * [taylor]: Taking taylor expansion of N in N 0.618 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.618 * [taylor]: Taking taylor expansion of 1.0 in N 0.618 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.618 * [taylor]: Taking taylor expansion of N in N 0.619 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.619 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.619 * [taylor]: Taking taylor expansion of -1 in N 0.619 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.619 * [taylor]: Taking taylor expansion of N in N 0.619 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.619 * [taylor]: Taking taylor expansion of 1.0 in N 0.619 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.619 * [taylor]: Taking taylor expansion of N in N 0.619 * * * [progress]: simplifying candidates 0.621 * [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)))) 0.627 * * [simplify]: iteration 0 : 242 enodes (cost 986 ) 0.631 * * [simplify]: iteration 1 : 753 enodes (cost 932 ) 0.645 * * [simplify]: iteration 2 : 3218 enodes (cost 884 ) 0.733 * * [simplify]: iteration 3 : 5002 enodes (cost 876 ) 0.738 * [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))) (+ (- (* (pow N 2) (- (* (pow NAN 4) 3/2) 1/2)) (* (pow NAN 2) (+ N (pow N 2)))) (+ N (log NAN))) (* (/ 1 N) (- 0.5 (/ 0.25 N))) (* (/ 1 N) (- 0.5 (/ 0.25 N))) (+ (- (* (pow N 2) (- (* (pow NAN 4) 3/2) 1/2)) (* (pow NAN 2) (+ N (pow N 2)))) (+ N (log NAN))) (* (/ 1 N) (- 0.5 (/ 0.25 N))) (* (/ 1 N) (- 0.5 (/ 0.25 N))) (+ (* N (+ (* (* 2 (pow NAN 5)) N) NAN)) (- NAN (* (pow NAN 3) (+ N (* (pow N 2) 2))))) (+ (* (/ 1 N) (- 0.5 (/ 0.125 N))) 1) (+ (* (/ 1 N) (- 0.5 (/ 0.125 N))) 1) (+ (* N (+ (* (* 2 (pow NAN 5)) N) NAN)) (- NAN (* (pow NAN 3) (+ N (* (pow N 2) 2))))) (+ (* (/ 1 N) (- 0.5 (/ 0.125 N))) 1) (+ (* (/ 1 N) (- 0.5 (/ 0.125 N))) 1) 0.739 * * * [progress]: adding candidates to table 1.193 * * [progress]: iteration 4 / 4 1.193 * * * [progress]: picking best candidate 1.204 * * * * [pick]: Picked # 1.204 * * * [progress]: localizing error 1.216 * * * [progress]: generating rewritten candidates 1.216 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.221 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.228 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.236 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.248 * * * [progress]: generating series expansions 1.248 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.248 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 1.249 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 1.249 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.249 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.249 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.249 * [taylor]: Taking taylor expansion of N in N 1.249 * [taylor]: Taking taylor expansion of 1.0 in N 1.249 * [taylor]: Taking taylor expansion of N in N 1.249 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 1.249 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.249 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.249 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.249 * [taylor]: Taking taylor expansion of N in N 1.249 * [taylor]: Taking taylor expansion of 1.0 in N 1.249 * [taylor]: Taking taylor expansion of N in N 1.251 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 1.251 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 1.251 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.251 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.251 * [taylor]: Taking taylor expansion of N in N 1.251 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.251 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.251 * [taylor]: Taking taylor expansion of N in N 1.251 * [taylor]: Taking taylor expansion of 1.0 in N 1.251 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 1.251 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.251 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.251 * [taylor]: Taking taylor expansion of N in N 1.251 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.251 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.251 * [taylor]: Taking taylor expansion of N in N 1.251 * [taylor]: Taking taylor expansion of 1.0 in N 1.255 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 1.255 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.255 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.255 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.255 * [taylor]: Taking taylor expansion of -1 in N 1.255 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.255 * [taylor]: Taking taylor expansion of N in N 1.255 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.255 * [taylor]: Taking taylor expansion of 1.0 in N 1.255 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.255 * [taylor]: Taking taylor expansion of N in N 1.256 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.256 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.256 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.256 * [taylor]: Taking taylor expansion of -1 in N 1.256 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.256 * [taylor]: Taking taylor expansion of N in N 1.256 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.256 * [taylor]: Taking taylor expansion of 1.0 in N 1.256 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.256 * [taylor]: Taking taylor expansion of N in N 1.257 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.257 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 1.257 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 1.257 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.257 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.257 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.257 * [taylor]: Taking taylor expansion of N in N 1.257 * [taylor]: Taking taylor expansion of 1.0 in N 1.257 * [taylor]: Taking taylor expansion of N in N 1.257 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 1.257 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.257 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.257 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.257 * [taylor]: Taking taylor expansion of N in N 1.257 * [taylor]: Taking taylor expansion of 1.0 in N 1.257 * [taylor]: Taking taylor expansion of N in N 1.259 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 1.259 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 1.259 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.259 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.259 * [taylor]: Taking taylor expansion of N in N 1.259 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.259 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.259 * [taylor]: Taking taylor expansion of N in N 1.259 * [taylor]: Taking taylor expansion of 1.0 in N 1.259 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 1.259 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.259 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.259 * [taylor]: Taking taylor expansion of N in N 1.259 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.259 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.259 * [taylor]: Taking taylor expansion of N in N 1.259 * [taylor]: Taking taylor expansion of 1.0 in N 1.261 * [approximate]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in (N) around 0 1.261 * [taylor]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in N 1.261 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 1.261 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.261 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.261 * [taylor]: Taking taylor expansion of 1.0 in N 1.261 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.261 * [taylor]: Taking taylor expansion of N in N 1.261 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 1.261 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 1.261 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.261 * [taylor]: Taking taylor expansion of -1 in N 1.261 * [taylor]: Taking taylor expansion of N in N 1.261 * [taylor]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in N 1.261 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 1.261 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.261 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.261 * [taylor]: Taking taylor expansion of 1.0 in N 1.261 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.261 * [taylor]: Taking taylor expansion of N in N 1.261 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 1.261 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 1.261 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.261 * [taylor]: Taking taylor expansion of -1 in N 1.261 * [taylor]: Taking taylor expansion of N in N 1.265 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.265 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 1.265 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.265 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.265 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.265 * [taylor]: Taking taylor expansion of N in N 1.265 * [taylor]: Taking taylor expansion of 1.0 in N 1.265 * [taylor]: Taking taylor expansion of N in N 1.265 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.265 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.265 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.265 * [taylor]: Taking taylor expansion of N in N 1.265 * [taylor]: Taking taylor expansion of 1.0 in N 1.265 * [taylor]: Taking taylor expansion of N in N 1.266 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.266 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.266 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.266 * [taylor]: Taking taylor expansion of N in N 1.266 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.266 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.266 * [taylor]: Taking taylor expansion of N in N 1.266 * [taylor]: Taking taylor expansion of 1.0 in N 1.266 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.266 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.266 * [taylor]: Taking taylor expansion of N in N 1.266 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.266 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.267 * [taylor]: Taking taylor expansion of N in N 1.267 * [taylor]: Taking taylor expansion of 1.0 in N 1.267 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in (N) around 0 1.267 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 1.267 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.267 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.267 * [taylor]: Taking taylor expansion of 1.0 in N 1.267 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.267 * [taylor]: Taking taylor expansion of N in N 1.267 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 1.267 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 1.267 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.267 * [taylor]: Taking taylor expansion of -1 in N 1.267 * [taylor]: Taking taylor expansion of N in N 1.267 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 1.267 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.267 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.267 * [taylor]: Taking taylor expansion of 1.0 in N 1.267 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.268 * [taylor]: Taking taylor expansion of N in N 1.268 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 1.268 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 1.268 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.268 * [taylor]: Taking taylor expansion of -1 in N 1.268 * [taylor]: Taking taylor expansion of N in N 1.270 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.270 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 1.270 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.270 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.270 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.270 * [taylor]: Taking taylor expansion of N in N 1.270 * [taylor]: Taking taylor expansion of 1.0 in N 1.270 * [taylor]: Taking taylor expansion of N in N 1.270 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.270 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.270 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.271 * [taylor]: Taking taylor expansion of N in N 1.271 * [taylor]: Taking taylor expansion of 1.0 in N 1.271 * [taylor]: Taking taylor expansion of N in N 1.272 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.272 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.272 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.272 * [taylor]: Taking taylor expansion of N in N 1.272 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.272 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.272 * [taylor]: Taking taylor expansion of N in N 1.272 * [taylor]: Taking taylor expansion of 1.0 in N 1.272 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.272 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.272 * [taylor]: Taking taylor expansion of N in N 1.272 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.272 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.272 * [taylor]: Taking taylor expansion of N in N 1.272 * [taylor]: Taking taylor expansion of 1.0 in N 1.273 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.273 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.273 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.273 * [taylor]: Taking taylor expansion of -1 in N 1.273 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.273 * [taylor]: Taking taylor expansion of N in N 1.273 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.273 * [taylor]: Taking taylor expansion of 1.0 in N 1.273 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.273 * [taylor]: Taking taylor expansion of N in N 1.273 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.273 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.273 * [taylor]: Taking taylor expansion of -1 in N 1.273 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.273 * [taylor]: Taking taylor expansion of N in N 1.273 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.273 * [taylor]: Taking taylor expansion of 1.0 in N 1.273 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.273 * [taylor]: Taking taylor expansion of N in N 1.274 * * * [progress]: simplifying candidates 1.277 * [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)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt (* (cbrt N) (cbrt N))))) (log (/ (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt (sqrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (sqrt (sqrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt 1))) (log (/ (cbrt (sqrt (+ N 1.0))) (sqrt N))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt (sqrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (sqrt (sqrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) 1)) (log (/ (cbrt (sqrt (+ N 1.0))) (sqrt N))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt N)))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt (* (cbrt N) (cbrt N))))) (log (/ (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt N)))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt (sqrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) (sqrt (sqrt N)))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt 1))) (log (/ (sqrt (cbrt (+ N 1.0))) (sqrt N))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt (sqrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) (sqrt (sqrt N)))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) 1)) (log (/ (sqrt (cbrt (+ N 1.0))) (sqrt N))) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt (sqrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt (* (cbrt N) (cbrt N))))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt 1))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt N))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) 1)) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt N))) (log (/ (sqrt 1) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (log (/ (sqrt (+ N 1.0)) (cbrt (sqrt N)))) (log (/ (sqrt 1) (sqrt (* (cbrt N) (cbrt N))))) (log (/ (sqrt (+ N 1.0)) (sqrt (cbrt N)))) (log (/ (sqrt 1) (sqrt (sqrt N)))) (log (/ (sqrt (+ N 1.0)) (sqrt (sqrt N)))) (log (/ (sqrt 1) (sqrt 1))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt 1) (sqrt (sqrt N)))) (log (/ (sqrt (+ N 1.0)) (sqrt (sqrt N)))) (log (/ (sqrt 1) 1)) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt 1) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (log (/ (sqrt (+ N 1.0)) (cbrt (sqrt N)))) (log (/ (sqrt 1) (sqrt (* (cbrt N) (cbrt N))))) (log (/ (sqrt (+ N 1.0)) (sqrt (cbrt N)))) (log (/ (sqrt 1) (sqrt (sqrt N)))) (log (/ (sqrt (+ N 1.0)) (sqrt (sqrt N)))) (log (/ (sqrt 1) (sqrt 1))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt 1) (sqrt (sqrt N)))) (log (/ (sqrt (+ N 1.0)) (sqrt (sqrt N)))) (log (/ (sqrt 1) 1)) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt (sqrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt (* (cbrt N) (cbrt N))))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt 1))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt N))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) 1)) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (log (/ (sqrt (+ N 1.0)) (cbrt (sqrt N)))) (log (/ 1 (sqrt (* (cbrt N) (cbrt N))))) (log (/ (sqrt (+ N 1.0)) (sqrt (cbrt N)))) (log (/ 1 (sqrt (sqrt N)))) (log (/ (sqrt (+ N 1.0)) (sqrt (sqrt N)))) (log (/ 1 (sqrt 1))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ 1 (sqrt (sqrt N)))) (log (/ (sqrt (+ N 1.0)) (sqrt (sqrt N)))) (log (/ 1 1)) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log 1) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ 1 (sqrt N))) (log (sqrt (+ N 1.0))) (log (sqrt N)) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (log (/ (sqrt (+ N 1.0)) (sqrt N)))) (exp (log (/ (sqrt (+ N 1.0)) (sqrt N)))) (* (cbrt (log (/ (sqrt (+ N 1.0)) (sqrt N)))) (cbrt (log (/ (sqrt (+ N 1.0)) (sqrt N))))) (cbrt (log (/ (sqrt (+ N 1.0)) (sqrt N)))) (* (* (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (/ (sqrt (+ N 1.0)) (sqrt N)))) (sqrt (log (/ (sqrt (+ N 1.0)) (sqrt N)))) (sqrt (log (/ (sqrt (+ N 1.0)) (sqrt N)))) (- (log (sqrt (+ N 1.0))) (log (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (exp (/ (sqrt (+ N 1.0)) (sqrt N))) (/ (* (* (sqrt (+ N 1.0)) (sqrt (+ N 1.0))) (sqrt (+ N 1.0))) (* (* (sqrt N) (sqrt N)) (sqrt N))) (* (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (* (* (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N))) (/ (sqrt (+ N 1.0)) (sqrt N))) (/ (+ N 1.0) N) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (neg (sqrt (+ N 1.0))) (neg (sqrt N)) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt N))) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt (* (cbrt N) (cbrt N)))) (/ (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt N))) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt (sqrt N))) (/ (cbrt (sqrt (+ N 1.0))) (sqrt (sqrt N))) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt 1)) (/ (cbrt (sqrt (+ N 1.0))) (sqrt N)) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt (sqrt N))) (/ (cbrt (sqrt (+ N 1.0))) (sqrt (sqrt N))) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) 1) (/ (cbrt (sqrt (+ N 1.0))) (sqrt N)) (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt N))) (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt (* (cbrt N) (cbrt N)))) (/ (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt N))) (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt (sqrt N))) (/ (sqrt (cbrt (+ N 1.0))) (sqrt (sqrt N))) (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt 1)) (/ (sqrt (cbrt (+ N 1.0))) (sqrt N)) (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt (sqrt N))) (/ (sqrt (cbrt (+ N 1.0))) (sqrt (sqrt N))) (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) 1) (/ (sqrt (cbrt (+ N 1.0))) (sqrt N)) (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (sqrt (sqrt (+ N 1.0))) (cbrt (sqrt N))) (/ (sqrt (sqrt (+ N 1.0))) (sqrt (* (cbrt N) (cbrt N)))) (/ (sqrt (sqrt (+ N 1.0))) (sqrt (cbrt N))) (/ (sqrt 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(sqrt (sqrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (/ (sqrt 1) 1) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (sqrt (sqrt (+ N 1.0))) (cbrt (sqrt N))) (/ (sqrt (sqrt (+ N 1.0))) (sqrt (* (cbrt N) (cbrt N)))) (/ (sqrt (sqrt (+ N 1.0))) (sqrt (cbrt N))) (/ (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt N))) (/ (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt N))) (/ (sqrt (sqrt (+ N 1.0))) (sqrt 1)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt N))) (/ (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt N))) (/ (sqrt (sqrt (+ N 1.0))) 1) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (sqrt (+ N 1.0)) (cbrt (sqrt N))) (/ 1 (sqrt (* (cbrt N) (cbrt N)))) (/ (sqrt (+ N 1.0)) (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (/ 1 (sqrt 1)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (/ 1 1) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ 1 (sqrt N)) (/ (sqrt 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