17.359 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.047 * * * [progress]: [2/2] Setting up program. 0.050 * [progress]: [Phase 2 of 3] Improving. 0.050 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.052 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.053 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.054 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.054 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.055 * * [progress]: iteration 1 / 4 0.055 * * * [progress]: picking best candidate 0.057 * * * * [pick]: Picked # 0.057 * * * [progress]: localizing error 0.063 * * * [progress]: generating rewritten candidates 0.063 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.066 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.074 * * * [progress]: generating series expansions 0.074 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.074 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.074 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.074 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.074 * [taylor]: Taking taylor expansion of N in N 0.074 * [taylor]: Taking taylor expansion of 1.0 in N 0.074 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.074 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.074 * [taylor]: Taking taylor expansion of N in N 0.074 * [taylor]: Taking taylor expansion of 1.0 in N 0.076 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.076 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.076 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.076 * [taylor]: Taking taylor expansion of N in N 0.076 * [taylor]: Taking taylor expansion of 1.0 in N 0.076 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.076 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.076 * [taylor]: Taking taylor expansion of N in N 0.076 * [taylor]: Taking taylor expansion of 1.0 in N 0.077 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.077 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.077 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.077 * [taylor]: Taking taylor expansion of 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 (log (- 1.0 (/ 1 N))) in N 0.077 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.077 * [taylor]: Taking taylor expansion of 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 0.078 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.078 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.078 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.078 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.078 * [taylor]: Taking taylor expansion of (+ N 1.0) 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 N) in N 0.078 * [taylor]: Taking taylor expansion of N in N 0.078 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.078 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.078 * [taylor]: Taking taylor expansion of (+ N 1.0) 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 N) in N 0.078 * [taylor]: Taking taylor expansion of N in N 0.080 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.080 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.080 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 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 * [taylor]: Taking taylor expansion of 1.0 in N 0.080 * [taylor]: Taking taylor expansion of (log (/ 1 N)) 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 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.080 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 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 * [taylor]: Taking taylor expansion of 1.0 in N 0.080 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.080 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.080 * [taylor]: Taking taylor expansion of N in N 0.082 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.082 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.082 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.082 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.082 * [taylor]: Taking taylor expansion of 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 (log (/ -1 N)) in N 0.082 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.082 * [taylor]: Taking taylor expansion of -1 in N 0.082 * [taylor]: Taking taylor expansion of N in N 0.082 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.082 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.082 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.082 * [taylor]: Taking taylor expansion of 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 (log (/ -1 N)) in N 0.082 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.082 * [taylor]: Taking taylor expansion of -1 in N 0.082 * [taylor]: Taking taylor expansion of N in N 0.084 * * * [progress]: simplifying candidates 0.084 * [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))) 0.088 * * [simplify]: iteration 0 : 232 enodes (cost 285 ) 0.091 * * [simplify]: iteration 1 : 628 enodes (cost 264 ) 0.100 * * [simplify]: iteration 2 : 2171 enodes (cost 244 ) 0.137 * * [simplify]: iteration 3 : 5001 enodes (cost 244 ) 0.139 * [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))) 0.139 * * * [progress]: adding candidates to table 0.212 * * [progress]: iteration 2 / 4 0.212 * * * [progress]: picking best candidate 0.219 * * * * [pick]: Picked # 0.219 * * * [progress]: localizing error 0.225 * * * [progress]: generating rewritten candidates 0.225 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.238 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.246 * * * [progress]: generating series expansions 0.246 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.246 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 N))) N) in (N) around 0 0.246 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 N))) N) in N 0.246 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 0.246 * [taylor]: Taking taylor expansion of 1.0 in N 0.246 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 0.246 * [taylor]: Taking taylor expansion of 0.5 in N 0.246 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.246 * [taylor]: Taking taylor expansion of N in N 0.246 * [taylor]: Taking taylor expansion of N in N 0.246 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 N))) N) in N 0.246 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 0.246 * [taylor]: Taking taylor expansion of 1.0 in N 0.246 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 0.246 * [taylor]: Taking taylor expansion of 0.5 in N 0.247 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.247 * [taylor]: Taking taylor expansion of N in N 0.247 * [taylor]: Taking taylor expansion of N in N 0.248 * [approximate]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in (N) around 0 0.248 * [taylor]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in N 0.248 * [taylor]: Taking taylor expansion of N in N 0.248 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 0.248 * [taylor]: Taking taylor expansion of 1.0 in N 0.248 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 0.248 * [taylor]: Taking taylor expansion of 0.5 in N 0.248 * [taylor]: Taking taylor expansion of N in N 0.248 * [taylor]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in N 0.248 * [taylor]: Taking taylor expansion of N in N 0.248 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 0.248 * [taylor]: Taking taylor expansion of 1.0 in N 0.248 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 0.248 * [taylor]: Taking taylor expansion of 0.5 in N 0.248 * [taylor]: Taking taylor expansion of N in N 0.250 * [approximate]: Taking taylor expansion of (* -1 (* (+ (* 0.5 N) 1.0) N)) in (N) around 0 0.250 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.5 N) 1.0) N)) in N 0.250 * [taylor]: Taking taylor expansion of -1 in N 0.250 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 N) 1.0) N) in N 0.250 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 0.250 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 0.250 * [taylor]: Taking taylor expansion of 0.5 in N 0.250 * [taylor]: Taking taylor expansion of N in N 0.250 * [taylor]: Taking taylor expansion of 1.0 in N 0.250 * [taylor]: Taking taylor expansion of N in N 0.250 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.5 N) 1.0) N)) in N 0.250 * [taylor]: Taking taylor expansion of -1 in N 0.250 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 N) 1.0) N) in N 0.250 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 0.250 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 0.250 * [taylor]: Taking taylor expansion of 0.5 in N 0.250 * [taylor]: Taking taylor expansion of N in N 0.250 * [taylor]: Taking taylor expansion of 1.0 in N 0.250 * [taylor]: Taking taylor expansion of N in N 0.251 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.251 * [approximate]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in (N) around 0 0.252 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 0.252 * [taylor]: Taking taylor expansion of 1.0 in N 0.252 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 0.252 * [taylor]: Taking taylor expansion of 0.5 in N 0.252 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.252 * [taylor]: Taking taylor expansion of N in N 0.252 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 0.252 * [taylor]: Taking taylor expansion of 1.0 in N 0.252 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 0.252 * [taylor]: Taking taylor expansion of 0.5 in N 0.252 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.252 * [taylor]: Taking taylor expansion of N in N 0.253 * [approximate]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in (N) around 0 0.253 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 0.253 * [taylor]: Taking taylor expansion of 1.0 in N 0.253 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 0.253 * [taylor]: Taking taylor expansion of 0.5 in N 0.253 * [taylor]: Taking taylor expansion of N in N 0.253 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 0.253 * [taylor]: Taking taylor expansion of 1.0 in N 0.253 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 0.253 * [taylor]: Taking taylor expansion of 0.5 in N 0.253 * [taylor]: Taking taylor expansion of N in N 0.253 * [approximate]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in (N) around 0 0.254 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 0.254 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 0.254 * [taylor]: Taking taylor expansion of 0.5 in N 0.254 * [taylor]: Taking taylor expansion of N in N 0.254 * [taylor]: Taking taylor expansion of 1.0 in N 0.254 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 0.254 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 0.254 * [taylor]: Taking taylor expansion of 0.5 in N 0.254 * [taylor]: Taking taylor expansion of N in N 0.254 * [taylor]: Taking taylor expansion of 1.0 in N 0.254 * * * [progress]: simplifying candidates 0.255 * [simplify]: Simplifying using # : (* (/ 1 N) (- 1.0 (/ 0.5 N))) (+ (neg (log N)) (log (- 1.0 (/ 0.5 N)))) (+ (- 0 (log N)) (log (- 1.0 (/ 0.5 N)))) (+ (- (log 1) (log N)) (log (- 1.0 (/ 0.5 N)))) (+ (log (/ 1 N)) (log (- 1.0 (/ 0.5 N)))) (log (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (exp (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (* (/ (* (* 1 1) 1) (* (* N N) N)) (* (* (- 1.0 (/ 0.5 N)) (- 1.0 (/ 0.5 N))) (- 1.0 (/ 0.5 N)))) (* (* (* (/ 1 N) (/ 1 N)) (/ 1 N)) (* (* (- 1.0 (/ 0.5 N)) (- 1.0 (/ 0.5 N))) (- 1.0 (/ 0.5 N)))) (* (cbrt (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (cbrt (* (/ 1 N) (- 1.0 (/ 0.5 N))))) (cbrt (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (* (* (* (/ 1 N) (- 1.0 (/ 0.5 N))) (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (sqrt (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (sqrt (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (* 1 (- (pow 1.0 3) (pow (/ 0.5 N) 3))) (* N (+ (* 1.0 1.0) (+ (* (/ 0.5 N) (/ 0.5 N)) (* 1.0 (/ 0.5 N))))) (* 1 (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N)))) (* N (+ 1.0 (/ 0.5 N))) (* (sqrt (/ 1 N)) (sqrt (- 1.0 (/ 0.5 N)))) (* (sqrt (/ 1 N)) (sqrt (- 1.0 (/ 0.5 N)))) (* (/ (sqrt 1) (sqrt N)) (sqrt (- 1.0 (/ 0.5 N)))) (* (/ (sqrt 1) (sqrt N)) (sqrt (- 1.0 (/ 0.5 N)))) (* (/ 1 (sqrt N)) (sqrt (- 1.0 (/ 0.5 N)))) (* (/ 1 (sqrt N)) (sqrt (- 1.0 (/ 0.5 N)))) (* (/ 1 N) 1.0) (* (/ 1 N) (neg (/ 0.5 N))) (* (/ 1 N) 1.0) (* (/ 1 N) (neg (/ 0.5 N))) (* 1.0 (/ 1 N)) (* (neg (/ 0.5 N)) (/ 1 N)) (* 1.0 (/ 1 N)) (* (neg (/ 0.5 N)) (/ 1 N)) (* (/ 1 N) (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N))))) (* (/ 1 N) (sqrt (- 1.0 (/ 0.5 N)))) (* (/ 1 N) 1) (* (/ 1 N) (+ (sqrt 1.0) (sqrt (/ 0.5 N)))) (* (/ 1 N) (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N)))) (* (/ 1 N) 1) (* (cbrt (/ 1 N)) (- 1.0 (/ 0.5 N))) (* (sqrt (/ 1 N)) (- 1.0 (/ 0.5 N))) (* (/ (cbrt 1) (cbrt N)) (- 1.0 (/ 0.5 N))) (* (/ (cbrt 1) (sqrt N)) (- 1.0 (/ 0.5 N))) (* (/ (cbrt 1) N) (- 1.0 (/ 0.5 N))) (* (/ (sqrt 1) (cbrt N)) (- 1.0 (/ 0.5 N))) (* (/ (sqrt 1) (sqrt N)) (- 1.0 (/ 0.5 N))) (* (/ (sqrt 1) N) (- 1.0 (/ 0.5 N))) (* (/ 1 (cbrt N)) (- 1.0 (/ 0.5 N))) (* (/ 1 (sqrt N)) (- 1.0 (/ 0.5 N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (* (/ 1 N) (- (pow 1.0 3) (pow (/ 0.5 N) 3))) (* (/ 1 N) (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N)))) (* 1 (- 1.0 (/ 0.5 N))) (/ (exp 1.0) (exp (/ 0.5 N))) (log (- 1.0 (/ 0.5 N))) (exp (- 1.0 (/ 0.5 N))) (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (cbrt (- 1.0 (/ 0.5 N))) (* (* (- 1.0 (/ 0.5 N)) (- 1.0 (/ 0.5 N))) (- 1.0 (/ 0.5 N))) (sqrt (- 1.0 (/ 0.5 N))) (sqrt (- 1.0 (/ 0.5 N))) (- (pow 1.0 3) (pow (/ 0.5 N) 3)) (+ (* 1.0 1.0) (+ (* (/ 0.5 N) (/ 0.5 N)) (* 1.0 (/ 0.5 N)))) (neg (/ 0.5 N)) (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N))) (+ 1.0 (/ 0.5 N)) (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (- (sqrt 1.0) (sqrt (/ 0.5 N))) (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (- 1.0 (/ 0.5 N)) (neg (/ 0.5 N)) (- (* 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)))) (- 1.0 (* 0.5 (/ 1 N))) (- 1.0 (* 0.5 (/ 1 N))) (- 1.0 (* 0.5 (/ 1 N))) 0.259 * * [simplify]: iteration 0 : 297 enodes (cost 383 ) 0.265 * * [simplify]: iteration 1 : 1224 enodes (cost 321 ) 0.287 * * [simplify]: iteration 2 : 5001 enodes (cost 309 ) 0.290 * [simplify]: Simplified to: (/ (- 1.0 (/ 0.5 N)) N) (log (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (log (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (log (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (log (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (log (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (exp (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (pow (/ (- 1.0 (/ 0.5 N)) N) 3) (pow (/ (- 1.0 (/ 0.5 N)) N) 3) (* (cbrt (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (cbrt (* (/ 1 N) (- 1.0 (/ 0.5 N))))) (cbrt (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (pow (/ (- 1.0 (/ 0.5 N)) N) 3) (sqrt (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (sqrt (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (- (pow 1.0 3) (pow (/ 0.5 N) 3)) (* (+ (* (/ 0.5 N) (+ (/ 0.5 N) 1.0)) (* 1.0 1.0)) N) (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N))) (* N (+ 1.0 (/ 0.5 N))) (* (sqrt (/ 1 N)) (sqrt (- 1.0 (/ 0.5 N)))) (* (sqrt (/ 1 N)) (sqrt (- 1.0 (/ 0.5 N)))) (/ (sqrt (- 1.0 (/ 0.5 N))) (sqrt N)) (/ (sqrt (- 1.0 (/ 0.5 N))) (sqrt N)) (/ (sqrt (- 1.0 (/ 0.5 N))) (sqrt N)) (/ (sqrt (- 1.0 (/ 0.5 N))) (sqrt N)) (/ 1.0 N) (/ (neg 0.5) (pow N 2)) (/ 1.0 N) (/ (neg 0.5) (pow N 2)) (/ 1.0 N) (/ (neg 0.5) (pow N 2)) (/ 1.0 N) (/ (neg 0.5) (pow N 2)) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) N) (/ (sqrt (- 1.0 (/ 0.5 N))) N) (/ 1 N) (/ (+ (sqrt 1.0) (sqrt (/ 0.5 N))) N) (/ (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) N) (/ 1 N) (* (cbrt (/ 1 N)) (- 1.0 (/ 0.5 N))) (* (sqrt (/ 1 N)) (- 1.0 (/ 0.5 N))) (/ (- 1.0 (/ 0.5 N)) (cbrt N)) (/ (- 1.0 (/ 0.5 N)) (sqrt N)) (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) (cbrt N)) (/ (- 1.0 (/ 0.5 N)) (sqrt N)) (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) (cbrt N)) (/ (- 1.0 (/ 0.5 N)) (sqrt N)) (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (- (pow 1.0 3) (pow (/ 0.5 N) 3)) N) (/ (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N))) N) (- 1.0 (/ 0.5 N)) (exp (- 1.0 (/ 0.5 N))) (log (- 1.0 (/ 0.5 N))) (exp (- 1.0 (/ 0.5 N))) (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (cbrt (- 1.0 (/ 0.5 N))) (pow (- 1.0 (/ 0.5 N)) 3) (sqrt (- 1.0 (/ 0.5 N))) (sqrt (- 1.0 (/ 0.5 N))) (- (pow 1.0 3) (pow (/ 0.5 N) 3)) (+ (* (/ 0.5 N) (+ (/ 0.5 N) 1.0)) (* 1.0 1.0)) (neg (/ 0.5 N)) (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N))) (+ 1.0 (/ 0.5 N)) (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (- (sqrt 1.0) (sqrt (/ 0.5 N))) (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (- 1.0 (/ 0.5 N)) (neg (/ 0.5 N)) (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (- 1.0 (/ 0.5 N)) (- 1.0 (/ 0.5 N)) (- 1.0 (/ 0.5 N)) 0.290 * * * [progress]: adding candidates to table 0.357 * * [progress]: iteration 3 / 4 0.357 * * * [progress]: picking best candidate 0.362 * * * * [pick]: Picked # 0.362 * * * [progress]: localizing error 0.367 * * * [progress]: generating rewritten candidates 0.367 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.371 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.378 * * * [progress]: generating series expansions 0.378 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.378 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.378 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.378 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.378 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.378 * [taylor]: Taking taylor expansion of N in N 0.378 * [taylor]: Taking taylor expansion of 1.0 in N 0.378 * [taylor]: Taking taylor expansion of N in N 0.378 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.378 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.378 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.378 * [taylor]: Taking taylor expansion of N in N 0.378 * [taylor]: Taking taylor expansion of 1.0 in N 0.378 * [taylor]: Taking taylor expansion of N in N 0.379 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.379 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.379 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.379 * [taylor]: Taking taylor expansion of N in N 0.379 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.380 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.380 * [taylor]: Taking taylor expansion of N in N 0.380 * [taylor]: Taking taylor expansion of 1.0 in N 0.380 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.380 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.380 * [taylor]: Taking taylor expansion of N in N 0.380 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.380 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.380 * [taylor]: Taking taylor expansion of N in N 0.380 * [taylor]: Taking taylor expansion of 1.0 in N 0.381 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.381 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.381 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.381 * [taylor]: Taking taylor expansion of -1 in N 0.381 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.381 * [taylor]: Taking taylor expansion of N in N 0.381 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.381 * [taylor]: Taking taylor expansion of 1.0 in N 0.381 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.381 * [taylor]: Taking taylor expansion of N in N 0.381 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.381 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.381 * [taylor]: Taking taylor expansion of -1 in N 0.381 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.381 * [taylor]: Taking taylor expansion of N in N 0.381 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.381 * [taylor]: Taking taylor expansion of 1.0 in N 0.381 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.381 * [taylor]: Taking taylor expansion of N in N 0.382 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.382 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.382 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.382 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.382 * [taylor]: Taking taylor expansion of N in N 0.382 * [taylor]: Taking taylor expansion of 1.0 in N 0.382 * [taylor]: Taking taylor expansion of N in N 0.382 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.382 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.383 * [taylor]: Taking taylor expansion of N in N 0.383 * [taylor]: Taking taylor expansion of 1.0 in N 0.383 * [taylor]: Taking taylor expansion of N in N 0.383 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.383 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.383 * [taylor]: Taking taylor expansion of N in N 0.383 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.383 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.383 * [taylor]: Taking taylor expansion of N in N 0.383 * [taylor]: Taking taylor expansion of 1.0 in N 0.383 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.383 * [taylor]: Taking taylor expansion of N in N 0.383 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.383 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.384 * [taylor]: Taking taylor expansion of N in N 0.384 * [taylor]: Taking taylor expansion of 1.0 in N 0.385 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.385 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.385 * [taylor]: Taking taylor expansion of -1 in N 0.385 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.385 * [taylor]: Taking taylor expansion of N in N 0.385 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.385 * [taylor]: Taking taylor expansion of 1.0 in N 0.385 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.385 * [taylor]: Taking taylor expansion of N in N 0.385 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.385 * [taylor]: Taking taylor expansion of -1 in N 0.385 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.385 * [taylor]: Taking taylor expansion of N in N 0.385 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.385 * [taylor]: Taking taylor expansion of 1.0 in N 0.385 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.385 * [taylor]: Taking taylor expansion of N in N 0.387 * * * [progress]: simplifying candidates 0.387 * [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) 0.391 * * [simplify]: iteration 0 : 221 enodes (cost 370 ) 0.395 * * [simplify]: iteration 1 : 736 enodes (cost 343 ) 0.407 * * [simplify]: iteration 2 : 3220 enodes (cost 333 ) 0.475 * * [simplify]: iteration 3 : 5002 enodes (cost 333 ) 0.477 * [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) 0.478 * * * [progress]: adding candidates to table 0.547 * * [progress]: iteration 4 / 4 0.547 * * * [progress]: picking best candidate 0.553 * * * * [pick]: Picked # 0.553 * * * [progress]: localizing error 0.563 * * * [progress]: generating rewritten candidates 0.563 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.570 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.575 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.579 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 0.587 * * * [progress]: generating series expansions 0.587 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.587 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in (N) around 0 0.587 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 0.587 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 0.587 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 0.587 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 0.587 * [taylor]: Taking taylor expansion of 1/3 in N 0.587 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.587 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.587 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.587 * [taylor]: Taking taylor expansion of N in N 0.587 * [taylor]: Taking taylor expansion of 1.0 in N 0.587 * [taylor]: Taking taylor expansion of N in N 0.588 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 0.588 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 0.588 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 0.588 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 0.588 * [taylor]: Taking taylor expansion of 1/3 in N 0.588 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.588 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.588 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.588 * [taylor]: Taking taylor expansion of N in N 0.588 * [taylor]: Taking taylor expansion of 1.0 in N 0.588 * [taylor]: Taking taylor expansion of N in N 0.591 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in (N) around 0 0.591 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 0.592 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 0.592 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 0.592 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 0.592 * [taylor]: Taking taylor expansion of 1/3 in N 0.592 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.592 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.592 * [taylor]: Taking taylor expansion of N in N 0.592 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.592 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.592 * [taylor]: Taking taylor expansion of N in N 0.592 * [taylor]: Taking taylor expansion of 1.0 in N 0.592 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 0.592 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 0.592 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 0.592 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 0.592 * [taylor]: Taking taylor expansion of 1/3 in N 0.592 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.592 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.592 * [taylor]: Taking taylor expansion of N in N 0.592 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.592 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.592 * [taylor]: Taking taylor expansion of N in N 0.592 * [taylor]: Taking taylor expansion of 1.0 in N 0.594 * [approximate]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in (N) around 0 0.594 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 0.594 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 0.594 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.594 * [taylor]: Taking taylor expansion of -1 in N 0.594 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 0.594 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 0.594 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 0.594 * [taylor]: Taking taylor expansion of 1/3 in N 0.594 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 0.594 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.594 * [taylor]: Taking taylor expansion of N in N 0.594 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.594 * [taylor]: Taking taylor expansion of 1.0 in N 0.594 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.594 * [taylor]: Taking taylor expansion of N in N 0.595 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 0.595 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 0.595 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.595 * [taylor]: Taking taylor expansion of -1 in N 0.595 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 0.595 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 0.595 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 0.595 * [taylor]: Taking taylor expansion of 1/3 in N 0.595 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 0.595 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.595 * [taylor]: Taking taylor expansion of N in N 0.595 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.595 * [taylor]: Taking taylor expansion of 1.0 in N 0.595 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.595 * [taylor]: Taking taylor expansion of N in N 0.598 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.598 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in (N) around 0 0.598 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 0.598 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 0.598 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 0.599 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 0.599 * [taylor]: Taking taylor expansion of 1/3 in N 0.599 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.599 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.599 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.599 * [taylor]: Taking taylor expansion of N in N 0.599 * [taylor]: Taking taylor expansion of 1.0 in N 0.599 * [taylor]: Taking taylor expansion of N in N 0.599 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 0.599 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 0.599 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 0.599 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 0.599 * [taylor]: Taking taylor expansion of 1/3 in N 0.599 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.599 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.599 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.599 * [taylor]: Taking taylor expansion of N in N 0.599 * [taylor]: Taking taylor expansion of 1.0 in N 0.599 * [taylor]: Taking taylor expansion of N in N 0.601 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in (N) around 0 0.601 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 0.601 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 0.601 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 0.601 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 0.601 * [taylor]: Taking taylor expansion of 1/3 in N 0.601 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.601 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.601 * [taylor]: Taking taylor expansion of N in N 0.601 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.602 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.602 * [taylor]: Taking taylor expansion of N in N 0.602 * [taylor]: Taking taylor expansion of 1.0 in N 0.602 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 0.602 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 0.602 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 0.602 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 0.602 * [taylor]: Taking taylor expansion of 1/3 in N 0.602 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.602 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.602 * [taylor]: Taking taylor expansion of N in N 0.602 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.602 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.602 * [taylor]: Taking taylor expansion of N in N 0.602 * [taylor]: Taking taylor expansion of 1.0 in N 0.603 * [approximate]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in (N) around 0 0.604 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 0.604 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 0.604 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.604 * [taylor]: Taking taylor expansion of -1 in N 0.604 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 0.604 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 0.604 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 0.604 * [taylor]: Taking taylor expansion of 1/3 in N 0.604 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 0.604 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.604 * [taylor]: Taking taylor expansion of N in N 0.604 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.604 * [taylor]: Taking taylor expansion of 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 (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 0.604 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 0.604 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.604 * [taylor]: Taking taylor expansion of -1 in N 0.604 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 0.604 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 0.604 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 0.604 * [taylor]: Taking taylor expansion of 1/3 in N 0.604 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 0.604 * [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 0.608 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.608 * [approximate]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in (N) around 0 0.608 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 0.608 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 0.608 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 0.608 * [taylor]: Taking taylor expansion of 1/3 in N 0.608 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.608 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.608 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.608 * [taylor]: Taking taylor expansion of N in N 0.608 * [taylor]: Taking taylor expansion of 1.0 in N 0.608 * [taylor]: Taking taylor expansion of N in N 0.608 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 0.608 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 0.608 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 0.608 * [taylor]: Taking taylor expansion of 1/3 in N 0.608 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.608 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.608 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.608 * [taylor]: Taking taylor expansion of N in N 0.608 * [taylor]: Taking taylor expansion of 1.0 in N 0.608 * [taylor]: Taking taylor expansion of N in N 0.610 * [approximate]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in (N) around 0 0.610 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 0.610 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 0.610 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 0.610 * [taylor]: Taking taylor expansion of 1/3 in N 0.610 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.610 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.610 * [taylor]: Taking taylor expansion of N in N 0.610 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.610 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.610 * [taylor]: Taking taylor expansion of N in N 0.610 * [taylor]: Taking taylor expansion of 1.0 in N 0.610 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 0.610 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 0.610 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 0.610 * [taylor]: Taking taylor expansion of 1/3 in N 0.610 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.611 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.611 * [taylor]: Taking taylor expansion of N in N 0.611 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 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 1.0 in N 0.612 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in (N) around 0 0.612 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 0.612 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.612 * [taylor]: Taking taylor expansion of -1 in N 0.612 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 0.612 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 0.612 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 0.612 * [taylor]: Taking taylor expansion of 1/3 in N 0.612 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 0.612 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.612 * [taylor]: Taking taylor expansion of N in N 0.612 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.612 * [taylor]: Taking taylor expansion of 1.0 in N 0.612 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.612 * [taylor]: Taking taylor expansion of N in N 0.612 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 0.612 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.612 * [taylor]: Taking taylor expansion of -1 in N 0.613 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 0.613 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 0.613 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 0.613 * [taylor]: Taking taylor expansion of 1/3 in N 0.613 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 0.613 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.613 * [taylor]: Taking taylor expansion of N in N 0.613 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.613 * [taylor]: Taking taylor expansion of 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 0.616 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 0.616 * [approximate]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in (N) around 0 0.616 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 0.616 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 0.616 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 0.616 * [taylor]: Taking taylor expansion of 1/3 in N 0.616 * [taylor]: Taking taylor expansion of (log (/ (+ 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 (pow (/ (+ N 1.0) N) 1/3) in N 0.616 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 0.616 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 0.616 * [taylor]: Taking taylor expansion of 1/3 in N 0.616 * [taylor]: Taking taylor expansion of (log (/ (+ 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 0.618 * [approximate]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in (N) around 0 0.618 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 0.618 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 0.618 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 0.618 * [taylor]: Taking taylor expansion of 1/3 in N 0.618 * [taylor]: Taking taylor expansion of (log (* 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 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 0.618 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 0.618 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 0.618 * [taylor]: Taking taylor expansion of 1/3 in N 0.618 * [taylor]: Taking taylor expansion of (log (* 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 0.620 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in (N) around 0 0.620 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 0.620 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.620 * [taylor]: Taking taylor expansion of -1 in N 0.620 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 0.620 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 0.620 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 0.620 * [taylor]: Taking taylor expansion of 1/3 in N 0.620 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 0.620 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.620 * [taylor]: Taking taylor expansion of N in N 0.620 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.620 * [taylor]: Taking taylor expansion of 1.0 in N 0.620 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.620 * [taylor]: Taking taylor expansion of N in N 0.620 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 0.620 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.620 * [taylor]: Taking taylor expansion of -1 in N 0.620 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 0.620 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 0.620 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 0.620 * [taylor]: Taking taylor expansion of 1/3 in N 0.620 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 0.620 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.620 * [taylor]: Taking taylor expansion of N in N 0.620 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.620 * [taylor]: Taking taylor expansion of 1.0 in N 0.620 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.620 * [taylor]: Taking taylor expansion of N in N 0.623 * * * [progress]: simplifying candidates 0.625 * [simplify]: Simplifying using # : (log (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (cbrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (cbrt (/ (cbrt (+ N 1.0)) N))) (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) 1))) (log (cbrt (/ (sqrt (+ N 1.0)) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) (log (cbrt (/ 1 1))) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) (log (cbrt (/ 1 1))) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt 1)) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt (/ 1 N))) (log (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log 1) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt N)) (log (/ (+ N 1.0) N)) (log (cbrt (/ (+ N 1.0) N))) (log (log (cbrt (/ (+ N 1.0) N)))) (exp (log (cbrt (/ (+ N 1.0) N)))) (* (cbrt (log (cbrt (/ (+ N 1.0) N)))) (cbrt (log (cbrt (/ (+ N 1.0) N))))) (cbrt (log (cbrt (/ (+ N 1.0) N)))) (* (* (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N)))) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (cbrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (cbrt (/ (cbrt (+ N 1.0)) N))) (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) 1))) (log (cbrt (/ (sqrt (+ N 1.0)) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) (log (cbrt (/ 1 1))) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) (log (cbrt (/ 1 1))) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt 1)) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt (/ 1 N))) (log (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log 1) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt N)) (log (/ (+ N 1.0) N)) (log (cbrt (/ (+ N 1.0) N))) (log (log (cbrt (/ (+ N 1.0) N)))) (exp (log (cbrt (/ (+ N 1.0) N)))) (* (cbrt (log (cbrt (/ (+ N 1.0) N)))) (cbrt (log (cbrt (/ (+ N 1.0) N))))) (cbrt (log (cbrt (/ (+ N 1.0) N)))) (* (* (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N)))) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (exp (cbrt (/ (+ N 1.0) N))) (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (cbrt (/ (cbrt (+ N 1.0)) (sqrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (cbrt (/ (cbrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) 1)) (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ (+ N 1.0) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ (+ N 1.0) N)) (cbrt 1) (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0)) (cbrt (/ 1 N)) (cbrt (+ N 1.0)) (cbrt N) (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N))) (exp (cbrt (/ (+ N 1.0) N))) (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (cbrt (/ (cbrt (+ N 1.0)) (sqrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (cbrt (/ (cbrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) 1)) (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ (+ N 1.0) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ (+ N 1.0) N)) (cbrt 1) (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0)) (cbrt (/ 1 N)) (cbrt (+ N 1.0)) (cbrt N) (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (- (+ (* 0.3333333333333333 N) (* 1/3 (log 1.0))) (+ (* 1/6 (/ (pow N 2) (pow 1.0 2))) (* 1/3 (log N)))) (- (+ (* 0.3333333333333333 (/ 1 N)) (log (pow 1 1/3))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) (log (* (pow -1 1/3) (cbrt -1)))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 N) (* 1/3 (log 1.0))) (+ (* 1/6 (/ (pow N 2) (pow 1.0 2))) (* 1/3 (log N)))) (- (+ (* 0.3333333333333333 (/ 1 N)) (log (pow 1 1/3))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) (log (* (pow -1 1/3) (cbrt -1)))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (- (+ (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* N (exp (* 1/3 (- (log 1.0) (log N)))))) (* 0.05555555555555555 (* (exp (* 1/3 (- (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (- (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) (pow 1 1/3)) (* 0.1111111111111111 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (* (pow -1 1/3) (/ (cbrt -1) N))) (* (pow -1 1/3) (cbrt -1))) (* 0.1111111111111111 (* (pow -1 1/3) (/ (cbrt -1) (pow N 2))))) (- (+ (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* N (exp (* 1/3 (- (log 1.0) (log N)))))) (* 0.05555555555555555 (* (exp (* 1/3 (- (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (- (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) (pow 1 1/3)) (* 0.1111111111111111 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (* (pow -1 1/3) (/ (cbrt -1) N))) (* (pow -1 1/3) (cbrt -1))) (* 0.1111111111111111 (* (pow -1 1/3) (/ (cbrt -1) (pow N 2))))) 0.631 * * [simplify]: iteration 0 : 261 enodes (cost 1042 ) 0.635 * * [simplify]: iteration 1 : 782 enodes (cost 972 ) 0.649 * * [simplify]: iteration 2 : 3437 enodes (cost 942 ) 0.722 * * [simplify]: iteration 3 : 5002 enodes (cost 942 ) 0.728 * [simplify]: Simplified to: (log (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (cbrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (cbrt (/ (cbrt (+ N 1.0)) N))) (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) 1))) (log (cbrt (/ (sqrt (+ N 1.0)) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) 0 (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) 0 (log (cbrt (/ (+ N 1.0) N))) 0 (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt (/ 1 N))) (* 2 (log (cbrt (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) 0 (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt N)) (log (/ (+ N 1.0) N)) (log (cbrt (/ (+ N 1.0) N))) (log (log (cbrt (/ (+ N 1.0) N)))) (cbrt (/ (+ N 1.0) N)) (* (cbrt (log (cbrt (/ (+ N 1.0) N)))) (cbrt (log (cbrt (/ (+ N 1.0) N))))) (cbrt (log (cbrt (/ (+ N 1.0) N)))) (pow (log (cbrt (/ (+ N 1.0) N))) 3) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (cbrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (cbrt (/ (cbrt (+ N 1.0)) N))) (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) 1))) (log (cbrt (/ (sqrt (+ N 1.0)) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) 0 (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) 0 (log (cbrt (/ (+ N 1.0) N))) 0 (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt (/ 1 N))) (* 2 (log (cbrt (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) 0 (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt N)) (log (/ (+ N 1.0) N)) (log (cbrt (/ (+ N 1.0) N))) (log (log (cbrt (/ (+ N 1.0) N)))) (cbrt (/ (+ N 1.0) N)) (* (cbrt (log (cbrt (/ (+ N 1.0) N)))) (cbrt (log (cbrt (/ (+ N 1.0) N))))) (cbrt (log (cbrt (/ (+ N 1.0) N)))) (pow (log (cbrt (/ (+ N 1.0) N))) 3) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (exp (cbrt (/ (+ N 1.0) N))) (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (cbrt (/ (cbrt (+ N 1.0)) (sqrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (cbrt (/ (cbrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) 1)) (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) 1 (cbrt (/ (+ N 1.0) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) 1 (cbrt (/ (+ N 1.0) N)) 1 (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0)) (cbrt (/ 1 N)) (cbrt (+ N 1.0)) (cbrt N) (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N))) (exp (cbrt (/ (+ N 1.0) N))) (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (cbrt (/ (cbrt (+ N 1.0)) (sqrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (cbrt (/ (cbrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) 1)) (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) 1 (cbrt (/ (+ N 1.0) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) 1 (cbrt (/ (+ N 1.0) N)) 1 (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0)) (cbrt (/ 1 N)) (cbrt (+ N 1.0)) (cbrt N) (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (- (+ (* 0.3333333333333333 N) (* 1/3 (- (log 1.0) (log N)))) (* 1/6 (/ (pow N 2) (pow 1.0 2)))) (* (/ 1 N) (- 0.3333333333333333 (/ 0.16666666666666666 N))) (+ (* 2/3 (log -1)) (* (/ 1 N) (- 0.3333333333333333 (/ 0.16666666666666666 N)))) (- (+ (* 0.3333333333333333 N) (* 1/3 (- (log 1.0) (log N)))) (* 1/6 (/ (pow N 2) (pow 1.0 2)))) (* (/ 1 N) (- 0.3333333333333333 (/ 0.16666666666666666 N))) (+ (* 2/3 (log -1)) (* (/ 1 N) (- 0.3333333333333333 (/ 0.16666666666666666 N)))) (+ (+ (* -1/6 (/ (* (exp (* 1/3 (- (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2))) (exp (* 1/3 (- (log 1.0) (log N))))) (* (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* (pow N 2) 0.05555555555555555) (* 0.3333333333333333 N)))) (+ (* (/ 1 N) (- 0.3333333333333333 (/ 0.1111111111111111 N))) 1) (- (pow -1 2/3) (- (/ (* 0.1111111111111111 (pow -1 2/3)) (pow N 2)) (/ (* 0.3333333333333333 (pow -1 2/3)) N))) (+ (+ (* -1/6 (/ (* (exp (* 1/3 (- (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2))) (exp (* 1/3 (- (log 1.0) (log N))))) (* (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* (pow N 2) 0.05555555555555555) (* 0.3333333333333333 N)))) (+ (* (/ 1 N) (- 0.3333333333333333 (/ 0.1111111111111111 N))) 1) (- (pow -1 2/3) (- (/ (* 0.1111111111111111 (pow -1 2/3)) (pow N 2)) (/ (* 0.3333333333333333 (pow -1 2/3)) N))) 0.729 * * * [progress]: adding candidates to table 0.971 * [progress]: [Phase 3 of 3] Extracting. 0.971 * * [regime]: Finding splitpoints for: (# # #) 0.972 * * * [regime-changes]: Trying 1 branch expressions: (N) 0.972 * * * * [regimes]: Trying to branch on N from (# # #) 1.003 * * * [regime]: Found split indices: #