16.449 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.038 * * * [progress]: [2/2] Setting up program. 0.041 * [progress]: [Phase 2 of 3] Improving. 0.041 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.045 * * [simplify]: iteration 0 : 71 enodes (cost 7 ) 0.045 * * [simplify]: iteration 1 : 71 enodes (cost 7 ) 0.045 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.045 * * [progress]: iteration 1 / 4 0.045 * * * [progress]: picking best candidate 0.048 * * * * [pick]: Picked # 0.048 * * * [progress]: localizing error 0.054 * * * [progress]: generating rewritten candidates 0.054 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.061 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.065 * * * [progress]: generating series expansions 0.065 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.065 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.065 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.065 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.065 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.065 * [taylor]: Taking taylor expansion of N in N 0.065 * [taylor]: Taking taylor expansion of 1.0 in N 0.065 * [taylor]: Taking taylor expansion of (log N) in N 0.065 * [taylor]: Taking taylor expansion of N in N 0.065 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.065 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.065 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.065 * [taylor]: Taking taylor expansion of N in N 0.065 * [taylor]: Taking taylor expansion of 1.0 in N 0.065 * [taylor]: Taking taylor expansion of (log N) in N 0.065 * [taylor]: Taking taylor expansion of N in N 0.072 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.072 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 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 0.073 * [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 1.0 in N 0.073 * [taylor]: Taking taylor expansion of (log (/ 1 N)) 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 N) 1.0)) (log (/ 1 N))) in N 0.073 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 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 1.0 in N 0.073 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.073 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.073 * [taylor]: Taking taylor expansion of N in N 0.075 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.075 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.075 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.075 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.075 * [taylor]: Taking taylor expansion of 1.0 in N 0.075 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.075 * [taylor]: Taking taylor expansion of N in N 0.075 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.075 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.075 * [taylor]: Taking taylor expansion of -1 in N 0.075 * [taylor]: Taking taylor expansion of N in N 0.075 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.075 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.075 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.075 * [taylor]: Taking taylor expansion of 1.0 in N 0.075 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.075 * [taylor]: Taking taylor expansion of N in N 0.075 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.075 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.075 * [taylor]: Taking taylor expansion of -1 in N 0.075 * [taylor]: Taking taylor expansion of N in N 0.076 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.077 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 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 0.077 * [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 0.077 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.077 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.077 * [taylor]: Taking taylor expansion of (/ 1 N) 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 * [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 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 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 (- 1.0 (/ 1 N))) in N 0.078 * [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 0.080 * * * [progress]: simplifying candidates 0.080 * [simplify]: Simplifying using # : (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (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)) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (+ (* 1.0 N) (log 1.0)) (+ (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))) (- (+ (* 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)))) 0.118 * * [simplify]: iteration 0 : 5481 enodes (cost 434 ) 0.120 * [simplify]: Simplified to: (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log N) (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)) (* (log (cbrt N)) -2)) (- (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) (log (+ (* N N) (* 1.0 (- 1.0 N))))) (+ (log N) (log (- N 1.0))) (* (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) (+ (log 1.0) (- (* (* N N) (/ -1/2 (* 1.0 1.0))) (log N)))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (- (/ 1.0 N) (/ 0.5 (* N N))) (+ (* N 1.0) (+ (log 1.0) (* (* N N) (/ -1/2 (* 1.0 1.0))))) (+ (log N) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (log N) (- (/ 1.0 N) (/ 0.5 (* N N)))) 0.121 * * * [progress]: adding candidates to table 0.192 * * [progress]: iteration 2 / 4 0.192 * * * [progress]: picking best candidate 0.203 * * * * [pick]: Picked # 0.203 * * * [progress]: localizing error 0.213 * * * [progress]: generating rewritten candidates 0.213 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.243 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 0.247 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.252 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.265 * * * [progress]: generating series expansions 0.265 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.265 * [approximate]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 0.265 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 0.265 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 0.265 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 0.265 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 0.265 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.265 * [taylor]: Taking taylor expansion of N in N 0.266 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.266 * [taylor]: Taking taylor expansion of 1.0 in N 0.266 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.266 * [taylor]: Taking taylor expansion of N in N 0.266 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 0.266 * [taylor]: Taking taylor expansion of 0.5 in N 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.266 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.266 * [taylor]: Taking taylor expansion of N in N 0.266 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 0.266 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 0.266 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 0.266 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 0.266 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.266 * [taylor]: Taking taylor expansion of N in N 0.266 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.266 * [taylor]: Taking taylor expansion of 1.0 in N 0.266 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.266 * [taylor]: Taking taylor expansion of N in N 0.266 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 0.266 * [taylor]: Taking taylor expansion of 0.5 in N 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.266 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.266 * [taylor]: Taking taylor expansion of N in N 0.267 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 0.267 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 0.267 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.267 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.267 * [taylor]: Taking taylor expansion of 1.0 in N 0.267 * [taylor]: Taking taylor expansion of N in N 0.267 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.267 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.267 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.267 * [taylor]: Taking taylor expansion of N in N 0.267 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.267 * [taylor]: Taking taylor expansion of 0.5 in N 0.267 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.267 * [taylor]: Taking taylor expansion of N in N 0.267 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 0.267 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.267 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.267 * [taylor]: Taking taylor expansion of 1.0 in N 0.267 * [taylor]: Taking taylor expansion of N in N 0.267 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.267 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.267 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.267 * [taylor]: Taking taylor expansion of N in N 0.267 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.267 * [taylor]: Taking taylor expansion of 0.5 in N 0.268 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.268 * [taylor]: Taking taylor expansion of N in N 0.268 * [approximate]: Taking taylor expansion of (neg (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 0.268 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 0.268 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 0.268 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.268 * [taylor]: Taking taylor expansion of 0.5 in N 0.268 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.268 * [taylor]: Taking taylor expansion of N in N 0.268 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.268 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.268 * [taylor]: Taking taylor expansion of 1.0 in N 0.268 * [taylor]: Taking taylor expansion of N in N 0.268 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.268 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.268 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.269 * [taylor]: Taking taylor expansion of N in N 0.269 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 0.269 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 0.269 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.269 * [taylor]: Taking taylor expansion of 0.5 in N 0.269 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.269 * [taylor]: Taking taylor expansion of N in N 0.269 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.269 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.269 * [taylor]: Taking taylor expansion of 1.0 in N 0.269 * [taylor]: Taking taylor expansion of N in N 0.269 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.269 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.269 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.269 * [taylor]: Taking taylor expansion of N in N 0.269 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 0.269 * [approximate]: Taking taylor expansion of (/ 0.5 (pow N 2)) in (N) around 0 0.269 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 0.269 * [taylor]: Taking taylor expansion of 0.5 in N 0.269 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.269 * [taylor]: Taking taylor expansion of N in N 0.270 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 0.270 * [taylor]: Taking taylor expansion of 0.5 in N 0.270 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.270 * [taylor]: Taking taylor expansion of N in N 0.270 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 0.270 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.270 * [taylor]: Taking taylor expansion of 0.5 in N 0.270 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.270 * [taylor]: Taking taylor expansion of N in N 0.270 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.270 * [taylor]: Taking taylor expansion of 0.5 in N 0.271 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.271 * [taylor]: Taking taylor expansion of N in N 0.271 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 0.271 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.271 * [taylor]: Taking taylor expansion of 0.5 in N 0.271 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.271 * [taylor]: Taking taylor expansion of N in N 0.271 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.271 * [taylor]: Taking taylor expansion of 0.5 in N 0.271 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.271 * [taylor]: Taking taylor expansion of N in N 0.272 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.272 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 0.272 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 0.272 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.272 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.272 * [taylor]: Taking taylor expansion of N in N 0.272 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 0.272 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.272 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.272 * [taylor]: Taking taylor expansion of N in N 0.273 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 0.273 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.273 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.273 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.273 * [taylor]: Taking taylor expansion of N in N 0.273 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.273 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.274 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.274 * [taylor]: Taking taylor expansion of N in N 0.274 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 0.275 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 0.275 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 0.275 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.275 * [taylor]: Taking taylor expansion of N in N 0.275 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 0.275 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 0.275 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.275 * [taylor]: Taking taylor expansion of N in N 0.276 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.276 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 0.276 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in N 0.276 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.276 * [taylor]: Taking taylor expansion of 1.0 in N 0.276 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.276 * [taylor]: Taking taylor expansion of N in N 0.276 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 0.276 * [taylor]: Taking taylor expansion of 0.5 in N 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.276 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.276 * [taylor]: Taking taylor expansion of N in N 0.276 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in N 0.276 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.276 * [taylor]: Taking taylor expansion of 1.0 in N 0.276 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.276 * [taylor]: Taking taylor expansion of N in N 0.276 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 0.276 * [taylor]: Taking taylor expansion of 0.5 in N 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.276 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.276 * [taylor]: Taking taylor expansion of N in N 0.278 * [approximate]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in (N) around 0 0.278 * [taylor]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in N 0.278 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.278 * [taylor]: Taking taylor expansion of 1.0 in N 0.278 * [taylor]: Taking taylor expansion of N in N 0.278 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.278 * [taylor]: Taking taylor expansion of 0.5 in N 0.278 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.278 * [taylor]: Taking taylor expansion of N in N 0.278 * [taylor]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in N 0.278 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.278 * [taylor]: Taking taylor expansion of 1.0 in N 0.278 * [taylor]: Taking taylor expansion of N in N 0.278 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.278 * [taylor]: Taking taylor expansion of 0.5 in N 0.278 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.278 * [taylor]: Taking taylor expansion of N in N 0.280 * [approximate]: Taking taylor expansion of (neg (+ (* 0.5 (pow N 2)) (* 1.0 N))) in (N) around 0 0.280 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (pow N 2)) (* 1.0 N))) in N 0.280 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 1.0 N)) in N 0.280 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.280 * [taylor]: Taking taylor expansion of 0.5 in N 0.280 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.280 * [taylor]: Taking taylor expansion of N in N 0.280 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.280 * [taylor]: Taking taylor expansion of 1.0 in N 0.280 * [taylor]: Taking taylor expansion of N in N 0.280 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (pow N 2)) (* 1.0 N))) in N 0.280 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 1.0 N)) in N 0.280 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.280 * [taylor]: Taking taylor expansion of 0.5 in N 0.280 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.280 * [taylor]: Taking taylor expansion of N in N 0.280 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.280 * [taylor]: Taking taylor expansion of 1.0 in N 0.280 * [taylor]: Taking taylor expansion of N in N 0.281 * * * [progress]: simplifying candidates 0.283 * [simplify]: Simplifying using # : (* (exp (/ 0.3333333333333333 (pow N 3))) (/ (exp (/ 1.0 N)) (exp (/ 0.5 (* N N))))) (* (exp (/ 0.3333333333333333 (pow N 3))) (exp (- (/ 1.0 N) (/ 0.5 (* N N))))) (log (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (exp (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (* (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (* (* (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (+ (* 0.3333333333333333 (* N (* N N))) (* (pow N 3) (- (* 1.0 (* N N)) (* N 0.5)))) (* (pow N 3) (* N (* N N))) (+ (* 0.3333333333333333 (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N)))))) (* (pow N 3) (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)))) (* (pow N 3) (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N)))))) (+ (* 0.3333333333333333 (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (pow N 3) (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))))) (* (pow N 3) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (+ (pow (/ 0.3333333333333333 (pow N 3)) 3) (pow (- (/ 1.0 N) (/ 0.5 (* N N))) 3)) (+ (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (- (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))))) (- (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))))) (- (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (- (log 0.5) (+ (log N) (log N))) (- (log 0.5) (log (* N N))) (log (/ 0.5 (* N N))) (exp (/ 0.5 (* N N))) (/ (* (* 0.5 0.5) 0.5) (* (* (* N N) N) (* (* N N) N))) (/ (* (* 0.5 0.5) 0.5) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (cbrt (/ 0.5 (* N N))) (* (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (neg 0.5) (neg (* N N)) (/ (* (cbrt 0.5) (cbrt 0.5)) N) (/ (cbrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ 1 N) (/ 0.5 N) (/ 1 (* N N)) (/ (* N N) 0.5) (/ 0.5 N) (/ (* N N) (cbrt 0.5)) (/ (* N N) (sqrt 0.5)) (/ (* N N) 0.5) (- (log 0.3333333333333333) (* (log N) 3)) (- (log 0.3333333333333333) (* (log N) 3)) (- (log 0.3333333333333333) (log (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.3333333333333333 (pow N 3))) (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* (pow N 3) (pow N 3)) (pow N 3))) (* (cbrt (/ 0.3333333333333333 (pow N 3))) (cbrt (/ 0.3333333333333333 (pow N 3)))) (cbrt (/ 0.3333333333333333 (pow N 3))) (* (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (neg 0.3333333333333333) (neg (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow 1 3)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (cbrt 0.3333333333333333) (cbrt (pow N 3))) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow 1 3)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) (/ (cbrt 0.3333333333333333) (* N N)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt (pow N 3))) (/ (cbrt 0.3333333333333333) (sqrt (pow N 3))) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow N (/ 3 2))) (/ (cbrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.3333333333333333) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow 1 3)) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (sqrt 0.3333333333333333) (cbrt (pow N 3))) (/ (sqrt 0.3333333333333333) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow 1 3)) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) 1) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 0.3333333333333333 (pow N 3)) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 0.3333333333333333 (cbrt (pow N 3))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 0.3333333333333333 (pow N 3)) (/ 1 N) (/ 0.3333333333333333 (* N N)) (/ 1 (sqrt (pow N 3))) (/ 0.3333333333333333 (sqrt (pow N 3))) (/ 1 1) (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N (/ 3 2))) (/ 0.3333333333333333 (pow N (/ 3 2))) (/ 1 (pow N 3)) (/ (pow N 3) 0.3333333333333333) (/ 0.3333333333333333 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow 1 3)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 0.3333333333333333 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow 1 3)) (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) (/ 0.3333333333333333 1) (/ 0.3333333333333333 (pow N (/ 3 2))) (/ (pow N 3) (cbrt 0.3333333333333333)) (/ (pow N 3) (sqrt 0.3333333333333333)) (/ (pow N 3) 0.3333333333333333) (/ (exp (/ 1.0 N)) (exp (/ 0.5 (* N N)))) (log (- (/ 1.0 N) (/ 0.5 (* N N)))) (exp (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (- (* 1.0 (* N N)) (* N 0.5)) (* N (* N N)) (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N))))) (neg (/ 0.5 (* N N))) (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (+ (/ 1.0 N) (/ 0.5 (* N N))) (+ (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N)))) (- (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N)))) (+ (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)) (- (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)) (+ (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N)))) (- (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N)) (- (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N)) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 0.308 * * [simplify]: iteration 0 : 5101 enodes (cost 1475 ) 0.313 * [simplify]: Simplified to: (exp (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (exp (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (log (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (exp (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (* (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (pow (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) 3) (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (* (pow N 3) (+ 0.3333333333333333 (* N (- (* N 1.0) 0.5)))) (pow N 6) (+ (* 0.3333333333333333 (+ (* (/ 0.5 (pow N 4)) 0.5) (* (/ 1.0 N) (+ (/ 1.0 N) (/ 0.5 (* N N)))))) (* (pow N 3) (- (pow (/ 1.0 N) 3) (/ (pow 0.5 3) (pow N 6))))) (* (pow N 3) (+ (* (/ 0.5 (pow N 4)) 0.5) (* (/ 1.0 N) (+ (/ 1.0 N) (/ 0.5 (* N N)))))) (* (+ (/ 1.0 N) (/ 0.5 (* N N))) (+ 0.3333333333333333 (* (- (/ 1.0 N) (/ 0.5 (* N N))) (pow N 3)))) (* (pow N 3) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (+ (pow (/ 0.3333333333333333 (pow N 3)) 3) (pow (- (/ 1.0 N) (/ 0.5 (* N N))) 3)) (+ (* (/ 0.3333333333333333 (pow N 6)) 0.3333333333333333) (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (+ (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3)))))) (+ (* (/ 0.3333333333333333 (pow N 6)) 0.3333333333333333) (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 0.5 (* N N)) (/ 1.0 N)))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 0.5 (* N N)) (/ 1.0 N))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (log (/ 0.5 (* N N))) (log (/ 0.5 (* N N))) (log (/ 0.5 (* N N))) (exp (/ 0.5 (* N N))) (/ (pow 0.5 3) (pow N 6)) (/ (pow 0.5 3) (pow N 6)) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (cbrt (/ 0.5 (* N N))) (/ (pow 0.5 3) (pow N 6)) (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (neg 0.5) (* N (neg N)) (* (/ (cbrt 0.5) N) (cbrt 0.5)) (/ (cbrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ 1 N) (/ 0.5 N) (/ 1 (* N N)) (* (/ N 0.5) N) (/ 0.5 N) (* (/ N (cbrt 0.5)) N) (* (/ N (sqrt 0.5)) N) (* (/ N 0.5) N) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.3333333333333333 (pow N 3))) (pow (/ 0.3333333333333333 (pow N 3)) 3) (* (cbrt (/ 0.3333333333333333 (pow N 3))) (cbrt (/ 0.3333333333333333 (pow N 3)))) (cbrt (/ 0.3333333333333333 (pow N 3))) (pow (/ 0.3333333333333333 (pow N 3)) 3) (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (neg 0.3333333333333333) (neg (pow N 3)) (* (/ (cbrt 0.3333333333333333) N) (/ (cbrt 0.3333333333333333) N)) (/ (cbrt 0.3333333333333333) N) (* (/ (cbrt 0.3333333333333333) N) (/ (cbrt 0.3333333333333333) (sqrt N))) (/ (cbrt 0.3333333333333333) (* N (sqrt N))) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (* (/ (cbrt 0.3333333333333333) N) (/ (cbrt 0.3333333333333333) N)) (/ (cbrt 0.3333333333333333) N) (* (/ (cbrt 0.3333333333333333) N) (/ (cbrt 0.3333333333333333) N)) (/ (cbrt 0.3333333333333333) N) (* (/ (cbrt 0.3333333333333333) N) (/ (cbrt 0.3333333333333333) N)) (/ (cbrt 0.3333333333333333) N) (* (/ (cbrt 0.3333333333333333) N) (/ (cbrt 0.3333333333333333) (sqrt N))) (/ (cbrt 0.3333333333333333) (* N (sqrt N))) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (* (/ (cbrt 0.3333333333333333) N) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (* N N)) (* (/ (cbrt 0.3333333333333333) (sqrt (pow N 3))) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (sqrt (pow N 3))) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (* (/ (cbrt 0.3333333333333333) (pow N 3/2)) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3/2)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N (sqrt N))) (/ (sqrt 0.3333333333333333) (* N (sqrt N))) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N (sqrt N))) (/ (sqrt 0.3333333333333333) (* N (sqrt N))) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (pow N 3/2)) (/ (sqrt 0.3333333333333333) (pow N 3/2)) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* N (sqrt N))) (/ 0.3333333333333333 (* N (sqrt N))) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* N (sqrt N))) (/ 0.3333333333333333 (* N (sqrt N))) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 N) (/ 0.3333333333333333 (* N N)) (/ 1 (sqrt (pow N 3))) (/ 0.3333333333333333 (sqrt (pow N 3))) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N 3/2)) (/ 0.3333333333333333 (pow N 3/2)) (/ 1 (pow N 3)) (/ (pow N 3) 0.3333333333333333) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* N (sqrt N))) 0.3333333333333333 (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* N (sqrt N))) 0.3333333333333333 (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) 0.3333333333333333 (/ 0.3333333333333333 (pow N 3/2)) (/ (pow N 3) (cbrt 0.3333333333333333)) (/ (pow N 3) (sqrt 0.3333333333333333)) (/ (pow N 3) 0.3333333333333333) (exp (- (/ 1.0 N) (/ 0.5 (* N N)))) (log (- (/ 1.0 N) (/ 0.5 (* N N)))) (exp (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (pow (- (/ 1.0 N) (/ 0.5 (* N N))) 3) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (* N (- (* N 1.0) 0.5)) (pow N 3) (- (pow (/ 1.0 N) 3) (/ (pow 0.5 3) (pow N 6))) (+ (* (/ 0.5 (pow N 4)) 0.5) (* (/ 1.0 N) (+ (/ 1.0 N) (/ 0.5 (* N N))))) (/ (neg 0.5) (* N N)) (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (pow N 4)) 0.5)) (+ (/ 1.0 N) (/ 0.5 (* N N))) (+ (sqrt (/ 0.5 (* N N))) (sqrt (/ 1.0 N))) (- (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 0.5) N) (sqrt (/ 1.0 N))) (- (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)) (+ (sqrt (/ 0.5 (* N N))) (/ (sqrt 1.0) (sqrt N))) (- (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 0.5) N) (/ (sqrt 1.0) (sqrt N))) (- (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N)) (- (/ 1.0 N) (/ 0.5 (* N N))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (/ 0.5 (* N N)) (/ 0.5 (* N N)) (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))) 0.314 * * * [progress]: adding candidates to table 0.461 * * [progress]: iteration 3 / 4 0.461 * * * [progress]: picking best candidate 0.472 * * * * [pick]: Picked # 0.472 * * * [progress]: localizing error 0.477 * * * [progress]: generating rewritten candidates 0.477 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.481 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.489 * * * [progress]: generating series expansions 0.489 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.489 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.489 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.489 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.489 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.489 * [taylor]: Taking taylor expansion of N in N 0.489 * [taylor]: Taking taylor expansion of 1.0 in N 0.489 * [taylor]: Taking taylor expansion of N in N 0.489 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.489 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.489 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.489 * [taylor]: Taking taylor expansion of N in N 0.489 * [taylor]: Taking taylor expansion of 1.0 in N 0.489 * [taylor]: Taking taylor expansion of N in N 0.490 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.490 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.490 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.490 * [taylor]: Taking taylor expansion of N in N 0.490 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.490 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.490 * [taylor]: Taking taylor expansion of N in N 0.490 * [taylor]: Taking taylor expansion of 1.0 in N 0.490 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.490 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.490 * [taylor]: Taking taylor expansion of N in N 0.490 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.490 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.490 * [taylor]: Taking taylor expansion of N in N 0.490 * [taylor]: Taking taylor expansion of 1.0 in N 0.491 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.491 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.491 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.491 * [taylor]: Taking taylor expansion of -1 in N 0.491 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.491 * [taylor]: Taking taylor expansion of N in N 0.491 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.491 * [taylor]: Taking taylor expansion of 1.0 in N 0.491 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.491 * [taylor]: Taking taylor expansion of N in N 0.491 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.491 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.491 * [taylor]: Taking taylor expansion of -1 in N 0.491 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.491 * [taylor]: Taking taylor expansion of N in N 0.491 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.491 * [taylor]: Taking taylor expansion of 1.0 in N 0.492 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.492 * [taylor]: Taking taylor expansion of N in N 0.492 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.492 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.492 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.493 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.493 * [taylor]: Taking taylor expansion of N in N 0.493 * [taylor]: Taking taylor expansion of 1.0 in N 0.493 * [taylor]: Taking taylor expansion of N in N 0.493 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.493 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.493 * [taylor]: Taking taylor expansion of N in N 0.493 * [taylor]: Taking taylor expansion of 1.0 in N 0.493 * [taylor]: Taking taylor expansion of N in N 0.493 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.493 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.493 * [taylor]: Taking taylor expansion of N in N 0.493 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.493 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.494 * [taylor]: Taking taylor expansion of N in N 0.494 * [taylor]: Taking taylor expansion of 1.0 in N 0.494 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.494 * [taylor]: Taking taylor expansion of N in N 0.494 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.494 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.494 * [taylor]: Taking taylor expansion of N in N 0.494 * [taylor]: Taking taylor expansion of 1.0 in N 0.495 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.495 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.495 * [taylor]: Taking taylor expansion of -1 in N 0.495 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.495 * [taylor]: Taking taylor expansion of N in N 0.495 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.495 * [taylor]: Taking taylor expansion of 1.0 in N 0.495 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.495 * [taylor]: Taking taylor expansion of N in N 0.495 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.495 * [taylor]: Taking taylor expansion of -1 in N 0.495 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.495 * [taylor]: Taking taylor expansion of N in N 0.495 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.495 * [taylor]: Taking taylor expansion of 1.0 in N 0.495 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.495 * [taylor]: Taking taylor expansion of N in N 0.497 * * * [progress]: simplifying candidates 0.498 * [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) 0.536 * * [simplify]: iteration 0 : 4970 enodes (cost 619 ) 0.536 * * [simplify]: iteration 1 : 4970 enodes (cost 619 ) 0.539 * [simplify]: Simplified to: (* (log (cbrt (+ 1 (/ 1.0 N)))) 2) (log (cbrt (+ 1 (/ 1.0 N)))) (log (sqrt (+ 1 (/ 1.0 N)))) (log (sqrt (+ 1 (/ 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))) (* (log (cbrt N)) -2)) (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 (cbrt N)) -2) (log (/ (+ N 1.0) (cbrt N))) (neg (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log 1) (log (+ 1 (/ 1.0 N))) (* (log (cbrt N)) -2) (log (/ (+ N 1.0) (cbrt N))) (neg (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log 1) (log (+ 1 (/ 1.0 N))) (log 1) (log (+ 1 (/ 1.0 N))) (log (+ N 1.0)) (neg (log N)) (log (+ N 1.0)) (log N) (log (+ 1 (/ 1.0 N))) (log (log (+ 1 (/ 1.0 N)))) (+ 1 (/ 1.0 N)) (* (cbrt (log (+ 1 (/ 1.0 N)))) (cbrt (log (+ 1 (/ 1.0 N))))) (cbrt (log (+ 1 (/ 1.0 N)))) (pow (log (+ 1 (/ 1.0 N))) 3) (sqrt (log (+ 1 (/ 1.0 N)))) (sqrt (log (+ 1 (/ 1.0 N)))) (log (+ 1 (/ 1.0 N))) (log (+ 1 (/ 1.0 N))) (exp (+ 1 (/ 1.0 N))) (pow (+ 1 (/ 1.0 N)) 3) (* (cbrt (+ 1 (/ 1.0 N))) (cbrt (+ 1 (/ 1.0 N)))) (cbrt (+ 1 (/ 1.0 N))) (pow (+ 1 (/ 1.0 N)) 3) (sqrt (+ 1 (/ 1.0 N))) (sqrt (+ 1 (/ 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 (+ 1 (/ 1.0 N)) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (+ 1 (/ 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) (- (* (* (/ N 1.0) (/ N 1.0)) -1/2) (log N)))) (+ (log 1) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (log 1) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ 1 (/ 1.0 N)) (+ 1 (/ 1.0 N)) (+ 1 (/ 1.0 N)) 0.539 * * * [progress]: adding candidates to table 0.613 * * [progress]: iteration 4 / 4 0.613 * * * [progress]: picking best candidate 0.622 * * * * [pick]: Picked # 0.622 * * * [progress]: localizing error 0.632 * * * [progress]: generating rewritten candidates 0.632 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.639 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.642 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.644 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.647 * * * [progress]: generating series expansions 0.647 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.647 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.647 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.647 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.647 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.647 * [taylor]: Taking taylor expansion of N in N 0.647 * [taylor]: Taking taylor expansion of 1.0 in N 0.647 * [taylor]: Taking taylor expansion of (log N) in N 0.648 * [taylor]: Taking taylor expansion of N in N 0.648 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.648 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.648 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.648 * [taylor]: Taking taylor expansion of N in N 0.648 * [taylor]: Taking taylor expansion of 1.0 in N 0.648 * [taylor]: Taking taylor expansion of (log N) in N 0.648 * [taylor]: Taking taylor expansion of N in N 0.649 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.649 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.649 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.649 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.649 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.649 * [taylor]: Taking taylor expansion of N in N 0.649 * [taylor]: Taking taylor expansion of 1.0 in N 0.649 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.649 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.649 * [taylor]: Taking taylor expansion of N in N 0.649 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.649 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.649 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.649 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.649 * [taylor]: Taking taylor expansion of N in N 0.649 * [taylor]: Taking taylor expansion of 1.0 in N 0.649 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.649 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.649 * [taylor]: Taking taylor expansion of N in N 0.651 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.651 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.651 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.651 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.651 * [taylor]: Taking taylor expansion of 1.0 in N 0.651 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.651 * [taylor]: Taking taylor expansion of N in N 0.652 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.652 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.652 * [taylor]: Taking taylor expansion of -1 in N 0.652 * [taylor]: Taking taylor expansion of N in N 0.652 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.652 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.652 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.652 * [taylor]: Taking taylor expansion of 1.0 in N 0.652 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.652 * [taylor]: Taking taylor expansion of N in N 0.652 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.652 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.652 * [taylor]: Taking taylor expansion of -1 in N 0.652 * [taylor]: Taking taylor expansion of N in N 0.653 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.653 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.653 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.653 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.653 * [taylor]: Taking taylor expansion of N in N 0.653 * [taylor]: Taking taylor expansion of 1.0 in N 0.653 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.653 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.653 * [taylor]: Taking taylor expansion of N in N 0.653 * [taylor]: Taking taylor expansion of 1.0 in N 0.654 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.654 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.654 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.654 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.654 * [taylor]: Taking taylor expansion of N in N 0.654 * [taylor]: Taking taylor expansion of 1.0 in N 0.654 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.654 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.654 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.654 * [taylor]: Taking taylor expansion of N in N 0.654 * [taylor]: Taking taylor expansion of 1.0 in N 0.655 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.655 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.655 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.655 * [taylor]: Taking taylor expansion of 1.0 in N 0.655 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.655 * [taylor]: Taking taylor expansion of N in N 0.655 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.655 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.655 * [taylor]: Taking taylor expansion of 1.0 in N 0.655 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.655 * [taylor]: Taking taylor expansion of N in N 0.656 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.656 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.656 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.656 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.656 * [taylor]: Taking taylor expansion of N in N 0.656 * [taylor]: Taking taylor expansion of 1.0 in N 0.656 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.656 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.656 * [taylor]: Taking taylor expansion of N in N 0.656 * [taylor]: Taking taylor expansion of 1.0 in N 0.657 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.657 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.657 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.657 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.657 * [taylor]: Taking taylor expansion of N in N 0.657 * [taylor]: Taking taylor expansion of 1.0 in N 0.657 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.657 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.657 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.657 * [taylor]: Taking taylor expansion of N in N 0.657 * [taylor]: Taking taylor expansion of 1.0 in N 0.658 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.658 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.658 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.658 * [taylor]: Taking taylor expansion of 1.0 in N 0.658 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.658 * [taylor]: Taking taylor expansion of N in N 0.658 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.658 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.658 * [taylor]: Taking taylor expansion of 1.0 in N 0.658 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.658 * [taylor]: Taking taylor expansion of N in N 0.659 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.659 * [approximate]: Taking taylor expansion of (log (log (+ N 1.0))) in (N) around 0 0.659 * [taylor]: Taking taylor expansion of (log (log (+ N 1.0))) in N 0.659 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.659 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.659 * [taylor]: Taking taylor expansion of N in N 0.659 * [taylor]: Taking taylor expansion of 1.0 in N 0.659 * [taylor]: Taking taylor expansion of (log (log (+ N 1.0))) in N 0.659 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.659 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.659 * [taylor]: Taking taylor expansion of N in N 0.659 * [taylor]: Taking taylor expansion of 1.0 in N 0.660 * [approximate]: Taking taylor expansion of (log (log (+ (/ 1 N) 1.0))) in (N) around 0 0.660 * [taylor]: Taking taylor expansion of (log (log (+ (/ 1 N) 1.0))) in N 0.660 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.660 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.660 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.661 * [taylor]: Taking taylor expansion of N in N 0.661 * [taylor]: Taking taylor expansion of 1.0 in N 0.661 * [taylor]: Taking taylor expansion of (log (log (+ (/ 1 N) 1.0))) in N 0.661 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.661 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.661 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.661 * [taylor]: Taking taylor expansion of N in N 0.661 * [taylor]: Taking taylor expansion of 1.0 in N 0.663 * [approximate]: Taking taylor expansion of (log (log (- 1.0 (/ 1 N)))) in (N) around 0 0.663 * [taylor]: Taking taylor expansion of (log (log (- 1.0 (/ 1 N)))) in N 0.663 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.663 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.663 * [taylor]: Taking taylor expansion of 1.0 in N 0.663 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.663 * [taylor]: Taking taylor expansion of N in N 0.663 * [taylor]: Taking taylor expansion of (log (log (- 1.0 (/ 1 N)))) in N 0.663 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.663 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.663 * [taylor]: Taking taylor expansion of 1.0 in N 0.663 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.663 * [taylor]: Taking taylor expansion of N in N 0.665 * * * [progress]: simplifying candidates 0.666 * [simplify]: Simplifying using # : (/ (exp (exp (log (log (+ N 1.0))))) N) (log (- (exp (log (log (+ N 1.0)))) (log N))) (exp (- (exp (log (log (+ N 1.0)))) (log N))) (* (cbrt (- (exp (log (log (+ N 1.0)))) (log N))) (cbrt (- (exp (log (log (+ N 1.0)))) (log N)))) (cbrt (- (exp (log (log (+ N 1.0)))) (log N))) (* (* (- (exp (log (log (+ N 1.0)))) (log N)) (- (exp (log (log (+ N 1.0)))) (log N))) (- (exp (log (log (+ N 1.0)))) (log N))) (sqrt (- (exp (log (log (+ N 1.0)))) (log N))) (sqrt (- (exp (log (log (+ N 1.0)))) (log N))) (- (pow (exp (log (log (+ N 1.0)))) 3) (pow (log N) 3)) (+ (* (exp (log (log (+ N 1.0)))) (exp (log (log (+ N 1.0))))) (+ (* (log N) (log N)) (* (exp (log (log (+ N 1.0)))) (log N)))) (neg (log N)) (- (* (exp (log (log (+ N 1.0)))) (exp (log (log (+ N 1.0))))) (* (log N) (log N))) (+ (exp (log (log (+ N 1.0)))) (log N)) (+ (exp (log (sqrt (log (+ N 1.0))))) (sqrt (log N))) (- (exp (log (sqrt (log (+ N 1.0))))) (sqrt (log N))) (+ (sqrt (exp (log (log (+ N 1.0))))) (sqrt (log N))) (- (sqrt (exp (log (log (+ N 1.0))))) (sqrt (log N))) (- (exp (log (log (+ N 1.0)))) (log N)) (- (exp (log (log (+ N 1.0)))) (log N)) (- (exp (log (log (+ N 1.0)))) (log (* (cbrt N) (cbrt N)))) (- (exp (log (log (+ N 1.0)))) (log (sqrt N))) (- (exp (log (log (+ N 1.0)))) (log 1)) (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))) (exp 1) (exp (* (cbrt (log (log (+ N 1.0)))) (cbrt (log (log (+ N 1.0)))))) (exp (sqrt (log (log (+ N 1.0))))) (exp 1) (exp (log 1)) (exp (log (log (+ N 1.0)))) (exp (log (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))))) (exp (log (cbrt (log (+ N 1.0))))) (exp (log (sqrt (log (+ N 1.0))))) (exp (log (sqrt (log (+ N 1.0))))) (exp (log 1)) (exp (log (log (+ N 1.0)))) (log (exp (log (log (+ N 1.0))))) (exp (exp (log (log (+ N 1.0))))) (* (cbrt (exp (log (log (+ N 1.0))))) (cbrt (exp (log (log (+ N 1.0)))))) (cbrt (exp (log (log (+ N 1.0))))) (* (* (exp (log (log (+ N 1.0)))) (exp (log (log (+ N 1.0))))) (exp (log (log (+ N 1.0))))) (sqrt (exp (log (log (+ N 1.0))))) (sqrt (exp (log (log (+ N 1.0))))) (log 1) (log (log (+ N 1.0))) (log (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0))))) (log (cbrt (log (+ N 1.0)))) (log (sqrt (log (+ N 1.0)))) (log (sqrt (log (+ N 1.0)))) (log 1) (log (log (+ N 1.0))) (log (log (+ N 1.0))) (log (log (log (+ N 1.0)))) (exp (log (log (+ N 1.0)))) (* (cbrt (log (log (+ N 1.0)))) (cbrt (log (log (+ N 1.0))))) (cbrt (log (log (+ N 1.0)))) (* (* (log (log (+ N 1.0))) (log (log (+ N 1.0)))) (log (log (+ N 1.0)))) (sqrt (log (log (+ N 1.0)))) (sqrt (log (log (+ N 1.0)))) (- (+ (* 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))) (- (+ (* 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)) (* 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)))) (- (+ (log (log 1.0)) (* 1.0 (/ N (log 1.0)))) (+ (* 0.5 (/ (pow N 2) (pow (log 1.0) 2))) (* 1/2 (/ (pow N 2) (* (log 1.0) (pow 1.0 2)))))) (- (+ (* 1.0 (/ 1 (* N (- (log 1) (log (/ 1 N)))))) (log (- (log 1) (log (/ 1 N))))) (+ (* 0.5 (/ 1 (* (pow N 2) (- (log 1) (log (/ 1 N)))))) (* 0.5 (/ 1 (* (pow N 2) (pow (- (log 1) (log (/ 1 N))) 2)))))) (- (+ (* 1.0 (/ 1 (* (- (log (neg 1)) (log (/ -1 N))) N))) (log (- (log (neg 1)) (log (/ -1 N))))) (+ (* 0.5 (/ 1 (* (pow (- (log (neg 1)) (log (/ -1 N))) 2) (pow N 2)))) (* 0.5 (/ 1 (* (- (log (neg 1)) (log (/ -1 N))) (pow N 2)))))) 0.694 * * [simplify]: iteration 0 : 5190 enodes (cost 687 ) 0.699 * [simplify]: Simplified to: (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (pow (log (+ N 1.0)) 2) (* (log N) (+ (log (+ N 1.0)) (log N)))) (neg (log N)) (- (pow (log (+ N 1.0)) 2) (pow (log N) 2)) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (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 (cbrt N)) -2)) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (* (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) (pow (cbrt (log (+ N 1.0))) 2) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) E (pow (exp (cbrt (log (log (+ N 1.0))))) (cbrt (log (log (+ N 1.0))))) (exp (sqrt (log (log (+ N 1.0))))) E 1 (log (+ N 1.0)) (pow (cbrt (log (+ N 1.0))) 2) (cbrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) 1 (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (pow (cbrt (log (+ N 1.0))) 2) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log 1) (log (log (+ N 1.0))) (* (log (cbrt (log (+ N 1.0)))) 2) (log (cbrt (log (+ N 1.0)))) (log (sqrt (log (+ N 1.0)))) (log (sqrt (log (+ N 1.0)))) (log 1) (log (log (+ N 1.0))) (log (log (+ N 1.0))) (log (log (log (+ N 1.0)))) (log (+ N 1.0)) (* (cbrt (log (log (+ N 1.0)))) (cbrt (log (log (+ N 1.0))))) (cbrt (log (log (+ N 1.0)))) (pow (log (log (+ N 1.0))) 3) (sqrt (log (log (+ N 1.0)))) (sqrt (log (log (+ N 1.0)))) (+ (* N 1.0) (+ (log 1.0) (- (* (* N (/ N (* 1.0 1.0))) -1/2) (log N)))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (- (/ 1.0 N) (/ 0.5 (* N N))) (+ (* N 1.0) (+ (log 1.0) (* (* N (/ N (* 1.0 1.0))) -1/2))) (+ (log N) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (log N) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (* N 1.0) (+ (log 1.0) (* (* N (/ N (* 1.0 1.0))) -1/2))) (+ (log N) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (log N) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (log (log 1.0)) (- (* 1.0 (/ N (log 1.0))) (* (* (/ N (log 1.0)) N) (+ (/ 0.5 (log 1.0)) (/ 1/2 (* 1.0 1.0)))))) (+ (/ 1.0 (* N (log N))) (+ (log (log N)) (* (/ -1 (* N N)) (+ (/ 0.5 (log N)) (/ 0.5 (pow (log N) 2)))))) (+ (/ 1.0 (* N (log N))) (+ (log (log N)) (* (/ -1 (* N N)) (+ (/ 0.5 (log N)) (/ 0.5 (pow (log N) 2)))))) 0.699 * * * [progress]: adding candidates to table 0.795 * [progress]: [Phase 3 of 3] Extracting. 0.795 * * [regime]: Finding splitpoints for: (# # # # #) 0.796 * * * [regime-changes]: Trying 1 branch expressions: (N) 0.796 * * * * [regimes]: Trying to branch on N from (# # # # #) 0.836 * * * [regime]: Found split indices: #