17.639 * [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 0.047 * * * * [pick]: Picked # 0.047 * * * [progress]: localizing error 0.054 * * * [progress]: generating rewritten candidates 0.054 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.057 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.069 * * * [progress]: generating series expansions 0.069 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.069 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.069 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.069 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.069 * [taylor]: Taking taylor expansion of N in N 0.069 * [taylor]: Taking taylor expansion of 1.0 in N 0.069 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.069 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.069 * [taylor]: Taking taylor expansion of N in N 0.069 * [taylor]: Taking taylor expansion of 1.0 in N 0.070 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.070 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.070 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.070 * [taylor]: Taking taylor expansion of N in N 0.070 * [taylor]: Taking taylor expansion of 1.0 in N 0.070 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.070 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.070 * [taylor]: Taking taylor expansion of N in N 0.070 * [taylor]: Taking taylor expansion of 1.0 in N 0.071 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.071 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.071 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.071 * [taylor]: Taking taylor expansion of 1.0 in N 0.071 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.071 * [taylor]: Taking taylor expansion of N in N 0.071 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.071 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.071 * [taylor]: Taking taylor expansion of 1.0 in N 0.071 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.071 * [taylor]: Taking taylor expansion of N in N 0.072 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.072 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.072 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.072 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.072 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.072 * [taylor]: Taking taylor expansion of N in N 0.072 * [taylor]: Taking taylor expansion of 1.0 in N 0.072 * [taylor]: Taking taylor expansion of (log N) in N 0.072 * [taylor]: Taking taylor expansion of N in N 0.072 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.072 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.072 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.072 * [taylor]: Taking taylor expansion of N in N 0.072 * [taylor]: Taking taylor expansion of 1.0 in N 0.072 * [taylor]: Taking taylor expansion of (log N) in N 0.072 * [taylor]: Taking taylor expansion of N in N 0.074 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.074 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.074 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.074 * [taylor]: Taking taylor expansion of (/ 1 N) 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 (/ 1 N)) in N 0.074 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.074 * [taylor]: Taking taylor expansion of N in N 0.074 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.074 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.074 * [taylor]: Taking taylor expansion of (/ 1 N) 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 (/ 1 N)) in N 0.074 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.074 * [taylor]: Taking taylor expansion of N in N 0.076 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.076 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.076 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.076 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.076 * [taylor]: Taking taylor expansion of 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 0.077 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.077 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.077 * [taylor]: Taking taylor expansion of -1 in N 0.077 * [taylor]: Taking taylor expansion of N in N 0.077 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 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 0.077 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.077 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.077 * [taylor]: Taking taylor expansion of -1 in N 0.077 * [taylor]: Taking taylor expansion of N in N 0.078 * * * [progress]: simplifying candidates 0.079 * [simplify]: Simplifying using # : (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (neg (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log (neg 1))) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (log 1) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (log (neg 1))) (+ (* 0.5 (/ 1 (pow N 2))) (log -1))) 0.114 * * [simplify]: iteration 0 : 5481 enodes (cost 434 ) 0.116 * [simplify]: Simplified to: (* (log (cbrt (+ N 1.0))) 2) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (* 1.0 (- 1.0 N)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (+ (log (+ N 1.0)) (log N)))) (neg (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ N 1.0)) (* (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 N) (* 1.0 (- 1.0 N)))) (log N)) (+ (log (- N 1.0)) (log 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)))) (+ (* N 1.0) (+ (log 1.0) (- (* (* N N) (/ -1/2 (* 1.0 1.0))) (log N)))) (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (- (/ 1.0 N) (/ 0.5 (* N N))) 0.116 * * * [progress]: adding candidates to table 0.190 * * [progress]: iteration 2 / 4 0.191 * * * [progress]: picking best candidate 0.198 * * * * [pick]: Picked # 0.198 * * * [progress]: localizing error 0.208 * * * [progress]: generating rewritten candidates 0.208 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.231 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 0.236 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.241 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.277 * * * [progress]: generating series expansions 0.277 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.277 * [approximate]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 0.277 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) in N 0.277 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 0.277 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 0.277 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.277 * [taylor]: Taking taylor expansion of N in N 0.277 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 0.277 * [taylor]: Taking taylor expansion of 0.5 in N 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.277 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.277 * [taylor]: Taking taylor expansion of N in N 0.277 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) in N 0.277 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 0.277 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 0.278 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.278 * [taylor]: Taking taylor expansion of N in N 0.278 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 0.278 * [taylor]: Taking taylor expansion of 0.5 in N 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) 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 (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in (N) around 0 0.280 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 0.280 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.281 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.281 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.281 * [taylor]: Taking taylor expansion of N in N 0.281 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.281 * [taylor]: Taking taylor expansion of 0.5 in N 0.281 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.281 * [taylor]: Taking taylor expansion of N in N 0.281 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 0.281 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.281 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.281 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.281 * [taylor]: Taking taylor expansion of N in N 0.281 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.281 * [taylor]: Taking taylor expansion of 0.5 in N 0.281 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.281 * [taylor]: Taking taylor expansion of N in N 0.283 * [approximate]: Taking taylor expansion of (neg (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in (N) around 0 0.283 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in N 0.283 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 0.283 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.283 * [taylor]: Taking taylor expansion of 0.5 in N 0.283 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.283 * [taylor]: Taking taylor expansion of N in N 0.283 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.283 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.283 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.283 * [taylor]: Taking taylor expansion of N in N 0.283 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in N 0.283 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 0.283 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.283 * [taylor]: Taking taylor expansion of 0.5 in N 0.283 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.283 * [taylor]: Taking taylor expansion of N in N 0.283 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.283 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.283 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.283 * [taylor]: Taking taylor expansion of N in N 0.285 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 0.285 * [approximate]: Taking taylor expansion of (/ 0.5 (pow N 2)) in (N) around 0 0.285 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 0.285 * [taylor]: Taking taylor expansion of 0.5 in N 0.285 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.285 * [taylor]: Taking taylor expansion of N in N 0.285 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 0.285 * [taylor]: Taking taylor expansion of 0.5 in N 0.285 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.285 * [taylor]: Taking taylor expansion of N in N 0.286 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 0.286 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.286 * [taylor]: Taking taylor expansion of 0.5 in N 0.286 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.286 * [taylor]: Taking taylor expansion of N in N 0.286 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.286 * [taylor]: Taking taylor expansion of 0.5 in N 0.286 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.286 * [taylor]: Taking taylor expansion of N in N 0.287 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 0.287 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.287 * [taylor]: Taking taylor expansion of 0.5 in N 0.287 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.287 * [taylor]: Taking taylor expansion of N in N 0.287 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.287 * [taylor]: Taking taylor expansion of 0.5 in N 0.287 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.287 * [taylor]: Taking taylor expansion of N in N 0.288 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.288 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 0.288 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 0.288 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.288 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.288 * [taylor]: Taking taylor expansion of N in N 0.288 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 0.288 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.288 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.288 * [taylor]: Taking taylor expansion of N in N 0.291 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 0.291 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.291 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.291 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.291 * [taylor]: Taking taylor expansion of N in N 0.292 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.292 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.292 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.292 * [taylor]: Taking taylor expansion of N in N 0.293 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 0.293 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 0.293 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 0.293 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.293 * [taylor]: Taking taylor expansion of N in N 0.293 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 0.293 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 0.293 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.293 * [taylor]: Taking taylor expansion of N in N 0.294 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.294 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 0.294 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 0.294 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 0.294 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.294 * [taylor]: Taking taylor expansion of 1.0 in N 0.294 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.294 * [taylor]: Taking taylor expansion of N in N 0.294 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 0.294 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.294 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 0.294 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.294 * [taylor]: Taking taylor expansion of N in N 0.294 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 0.294 * [taylor]: Taking taylor expansion of 0.5 in N 0.294 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.294 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.294 * [taylor]: Taking taylor expansion of N in N 0.294 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 0.294 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 0.294 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.294 * [taylor]: Taking taylor expansion of 1.0 in N 0.294 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.294 * [taylor]: Taking taylor expansion of N in N 0.294 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 0.294 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.294 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 0.294 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.294 * [taylor]: Taking taylor expansion of N in N 0.295 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 0.295 * [taylor]: Taking taylor expansion of 0.5 in N 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.295 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.295 * [taylor]: Taking taylor expansion of N in N 0.295 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 0.295 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 0.296 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.296 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.296 * [taylor]: Taking taylor expansion of 1.0 in N 0.296 * [taylor]: Taking taylor expansion of N in N 0.296 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.296 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.296 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.296 * [taylor]: Taking taylor expansion of N in N 0.296 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.296 * [taylor]: Taking taylor expansion of 0.5 in N 0.296 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.296 * [taylor]: Taking taylor expansion of N in N 0.296 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 0.296 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.296 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.296 * [taylor]: Taking taylor expansion of 1.0 in N 0.296 * [taylor]: Taking taylor expansion of N in N 0.296 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.296 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.296 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.296 * [taylor]: Taking taylor expansion of N in N 0.296 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.296 * [taylor]: Taking taylor expansion of 0.5 in N 0.296 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.296 * [taylor]: Taking taylor expansion of N in N 0.297 * [approximate]: Taking taylor expansion of (neg (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 0.297 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 0.297 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 0.297 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.297 * [taylor]: Taking taylor expansion of 0.5 in N 0.297 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.297 * [taylor]: Taking taylor expansion of N in N 0.297 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.297 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.297 * [taylor]: Taking taylor expansion of 1.0 in N 0.297 * [taylor]: Taking taylor expansion of N in N 0.297 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.297 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.297 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.297 * [taylor]: Taking taylor expansion of N in N 0.297 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 0.297 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 0.297 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.297 * [taylor]: Taking taylor expansion of 0.5 in N 0.297 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.297 * [taylor]: Taking taylor expansion of N in N 0.297 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.297 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.297 * [taylor]: Taking taylor expansion of 1.0 in N 0.297 * [taylor]: Taking taylor expansion of N in N 0.297 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.297 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.297 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.297 * [taylor]: Taking taylor expansion of N in N 0.298 * * * [progress]: simplifying candidates 0.300 * [simplify]: Simplifying using # : (/ (exp (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.5 (* N N)))) (log (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (exp (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (* (cbrt (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (cbrt (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))) (cbrt (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (* (* (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (sqrt (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (sqrt (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (- (* 0.3333333333333333 (* N N)) (* (pow N 3) 0.5)) (* (pow N 3) (* N N)) (- (pow (/ 0.3333333333333333 (pow N 3)) 3) (pow (/ 0.5 (* N N)) 3)) (+ (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))) (neg (/ 0.5 (* N N))) (- (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) (+ (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.5 (* N N)))) (- (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.5 (* N N)))) (+ (sqrt (/ 0.3333333333333333 (pow N 3))) (/ (sqrt 0.5) N)) (- (sqrt (/ 0.3333333333333333 (pow N 3))) (/ (sqrt 0.5) N)) (+ (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt (/ 0.5 (* N N)))) (- (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.5) N)) (- (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.5) N)) (+ (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt (/ 0.5 (* N N)))) (- (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.5) N)) (- (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.5) N)) (+ (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (sqrt (/ 0.5 (* N N)))) (- (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.5) N)) (- (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.5) N)) (+ (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (sqrt (/ 0.5 (* N N)))) (- (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.5) N)) (- (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.5) N)) (- (/ 0.3333333333333333 (* N N)) (/ 0.5 N)) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N 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 (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.5 (* N N))))) (* (exp (/ 1.0 N)) (exp (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))) (log (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))) (exp (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))) (* (cbrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))) (cbrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))))) (cbrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))) (* (* (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))) (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))) (sqrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))) (sqrt (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))) (+ (* 1.0 (* (pow N 3) (* N N))) (* N (- (* 0.3333333333333333 (* N N)) (* (pow N 3) 0.5)))) (* N (* (pow N 3) (* N N))) (+ (* 1.0 (+ (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))))) (* N (- (pow (/ 0.3333333333333333 (pow N 3)) 3) (pow (/ 0.5 (* N N)) 3)))) (* N (+ (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))))) (+ (* 1.0 (+ (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (* N (- (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))))) (* N (+ (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (+ (pow (/ 1.0 N) 3) (pow (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) 3)) (+ (* (/ 1.0 N) (/ 1.0 N)) (- (* (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (* (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))))) (- (* (/ 1.0 N) (/ 1.0 N)) (* (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))) (- (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 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) (/ 0.3333333333333333 (pow N 3))) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 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)) (* 0.3333333333333333 (/ 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)))) 0.343 * * [simplify]: iteration 0 : 4975 enodes (cost 1700 ) 0.343 * * [simplify]: iteration 1 : 4975 enodes (cost 1700 ) 0.350 * [simplify]: Simplified to: (exp (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (log (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (exp (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (* (cbrt (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (cbrt (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))) (cbrt (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (pow (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) 3) (sqrt (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (sqrt (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (* (* N N) (- 0.3333333333333333 (* N 0.5))) (pow N 5) (- (pow (/ 0.3333333333333333 (pow N 3)) 3) (/ (pow 0.5 3) (pow N 6))) (+ (/ 0.3333333333333333 (/ (pow N 6) 0.3333333333333333)) (* (/ 0.5 (pow N 3)) (+ (/ 0.3333333333333333 (* N N)) (/ 0.5 N)))) (/ (neg 0.5) (* N N)) (- (/ 0.3333333333333333 (/ (pow N 6) 0.3333333333333333)) (/ 0.5 (/ (pow N 4) 0.5))) (+ (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) (+ (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.5 (* N N)))) (- (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.5 (* N N)))) (+ (sqrt (/ 0.3333333333333333 (pow N 3))) (/ (sqrt 0.5) N)) (- (sqrt (/ 0.3333333333333333 (pow N 3))) (/ (sqrt 0.5) N)) (+ (sqrt (/ 0.5 (* N N))) (/ (sqrt 0.3333333333333333) (* N (sqrt N)))) (- (/ (sqrt 0.3333333333333333) (* N (sqrt N))) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 0.5) N) (/ (sqrt 0.3333333333333333) (* N (sqrt N)))) (- (/ (sqrt 0.3333333333333333) (* N (sqrt N))) (/ (sqrt 0.5) N)) (+ (sqrt (/ 0.5 (* N N))) (/ (sqrt 0.3333333333333333) (* N (sqrt N)))) (- (/ (sqrt 0.3333333333333333) (* N (sqrt N))) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 0.5) N) (/ (sqrt 0.3333333333333333) (* N (sqrt N)))) (- (/ (sqrt 0.3333333333333333) (* N (sqrt N))) (/ (sqrt 0.5) N)) (+ (sqrt (/ 0.5 (* N N))) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3)))) (- (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 0.5) N) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3)))) (- (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.5) N)) (+ (sqrt (/ 0.5 (* N N))) (/ (sqrt 0.3333333333333333) (pow N 3/2))) (- (/ (sqrt 0.3333333333333333) (pow N 3/2)) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 0.5) N) (/ (sqrt 0.3333333333333333) (pow N 3/2))) (- (/ (sqrt 0.3333333333333333) (pow N 3/2)) (/ (sqrt 0.5) N)) (- (/ 0.3333333333333333 (* N N)) (/ 0.5 N)) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N 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 (+ (/ 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 5) 1.0) (* N (* (* N N) (- 0.3333333333333333 (* N 0.5))))) (pow N 6) (+ (* (+ (/ 0.3333333333333333 (/ (pow N 6) 0.3333333333333333)) (* (/ 0.5 (pow N 3)) (+ (/ 0.3333333333333333 (* N N)) (/ 0.5 N)))) 1.0) (* N (- (pow (/ 0.3333333333333333 (pow N 3)) 3) (/ (pow 0.5 3) (pow N 6))))) (* N (+ (/ 0.3333333333333333 (/ (pow N 6) 0.3333333333333333)) (* (/ 0.5 (pow N 3)) (+ (/ 0.3333333333333333 (* N N)) (/ 0.5 N))))) (* (+ (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) (+ 1.0 (* (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) N))) (* N (+ (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (+ (pow (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) 3) (pow (/ 1.0 N) 3)) (+ (* (/ 1.0 N) (/ 1.0 N)) (* (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) (- (/ 0.3333333333333333 (pow N 3)) (+ (/ 0.5 (* N N)) (/ 1.0 N))))) (- (* (/ 1.0 N) (/ 1.0 N)) (* (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))) (+ (/ 0.5 (* N N)) (- (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (+ (/ 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)) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) (- (/ 0.3333333333333333 (pow N 3)) (/ 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)) (+ (/ 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)))) 0.350 * * * [progress]: adding candidates to table 0.513 * * [progress]: iteration 3 / 4 0.513 * * * [progress]: picking best candidate 0.520 * * * * [pick]: Picked # 0.520 * * * [progress]: localizing error 0.524 * * * [progress]: generating rewritten candidates 0.524 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.529 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.536 * * * [progress]: generating series expansions 0.536 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.536 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.536 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.536 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.536 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.536 * [taylor]: Taking taylor expansion of N in N 0.536 * [taylor]: Taking taylor expansion of 1.0 in N 0.536 * [taylor]: Taking taylor expansion of N in N 0.536 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.536 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.536 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.536 * [taylor]: Taking taylor expansion of N in N 0.536 * [taylor]: Taking taylor expansion of 1.0 in N 0.536 * [taylor]: Taking taylor expansion of N in N 0.537 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.537 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.537 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.537 * [taylor]: Taking taylor expansion of N in N 0.537 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.537 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.537 * [taylor]: Taking taylor expansion of N in N 0.537 * [taylor]: Taking taylor expansion of 1.0 in N 0.537 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.537 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.537 * [taylor]: Taking taylor expansion of N in N 0.537 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.537 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.537 * [taylor]: Taking taylor expansion of N in N 0.537 * [taylor]: Taking taylor expansion of 1.0 in N 0.538 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.538 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.538 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.538 * [taylor]: Taking taylor expansion of -1 in N 0.538 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.538 * [taylor]: Taking taylor expansion of N in N 0.538 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.538 * [taylor]: Taking taylor expansion of 1.0 in N 0.538 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.538 * [taylor]: Taking taylor expansion of N in N 0.538 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.538 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.538 * [taylor]: Taking taylor expansion of -1 in N 0.538 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.538 * [taylor]: Taking taylor expansion of N in N 0.538 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.539 * [taylor]: Taking taylor expansion of 1.0 in N 0.539 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.539 * [taylor]: Taking taylor expansion of N in N 0.539 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.539 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.539 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.540 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.540 * [taylor]: Taking taylor expansion of N in N 0.540 * [taylor]: Taking taylor expansion of 1.0 in N 0.540 * [taylor]: Taking taylor expansion of N in N 0.540 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.540 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.540 * [taylor]: Taking taylor expansion of N in N 0.540 * [taylor]: Taking taylor expansion of 1.0 in N 0.540 * [taylor]: Taking taylor expansion of N in N 0.540 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.540 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.540 * [taylor]: Taking taylor expansion of N in N 0.540 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.540 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.540 * [taylor]: Taking taylor expansion of N in N 0.541 * [taylor]: Taking taylor expansion of 1.0 in N 0.541 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.541 * [taylor]: Taking taylor expansion of N in N 0.541 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.541 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.541 * [taylor]: Taking taylor expansion of N in N 0.541 * [taylor]: Taking taylor expansion of 1.0 in N 0.542 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.542 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.542 * [taylor]: Taking taylor expansion of -1 in N 0.542 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.542 * [taylor]: Taking taylor expansion of N in N 0.542 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.542 * [taylor]: Taking taylor expansion of 1.0 in N 0.542 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.542 * [taylor]: Taking taylor expansion of N in N 0.542 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.542 * [taylor]: Taking taylor expansion of -1 in N 0.542 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.542 * [taylor]: Taking taylor expansion of N in N 0.542 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.542 * [taylor]: Taking taylor expansion of 1.0 in N 0.542 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.542 * [taylor]: Taking taylor expansion of N in N 0.544 * * * [progress]: simplifying candidates 0.545 * [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) 0.580 * * [simplify]: iteration 0 : 4970 enodes (cost 619 ) 0.580 * * [simplify]: iteration 1 : 4970 enodes (cost 619 ) 0.583 * [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)) 0.583 * * * [progress]: adding candidates to table 0.657 * * [progress]: iteration 4 / 4 0.657 * * * [progress]: picking best candidate 0.667 * * * * [pick]: Picked # 0.667 * * * [progress]: localizing error 0.675 * * * [progress]: generating rewritten candidates 0.675 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.681 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.688 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.693 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.700 * * * [progress]: generating series expansions 0.700 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.700 * [approximate]: Taking taylor expansion of (log (pow (+ (* 1.0 (/ 1 N)) 1) 1/3)) in (N) around 0 0.700 * [taylor]: Taking taylor expansion of (log (pow (+ (* 1.0 (/ 1 N)) 1) 1/3)) in N 0.700 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 N)) 1) 1/3) in N 0.700 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1.0 (/ 1 N)) 1)))) in N 0.700 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1.0 (/ 1 N)) 1))) in N 0.700 * [taylor]: Taking taylor expansion of 1/3 in N 0.700 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 N)) 1)) in N 0.700 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) 1) in N 0.700 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.700 * [taylor]: Taking taylor expansion of 1.0 in N 0.700 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.700 * [taylor]: Taking taylor expansion of N in N 0.701 * [taylor]: Taking taylor expansion of 1 in N 0.701 * [taylor]: Taking taylor expansion of (log (pow (+ (* 1.0 (/ 1 N)) 1) 1/3)) in N 0.701 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 N)) 1) 1/3) in N 0.701 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1.0 (/ 1 N)) 1)))) in N 0.701 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1.0 (/ 1 N)) 1))) in N 0.701 * [taylor]: Taking taylor expansion of 1/3 in N 0.701 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 N)) 1)) in N 0.701 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) 1) in N 0.701 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.701 * [taylor]: Taking taylor expansion of 1.0 in N 0.701 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.701 * [taylor]: Taking taylor expansion of N in N 0.701 * [taylor]: Taking taylor expansion of 1 in N 0.704 * [approximate]: Taking taylor expansion of (log (pow (+ (* 1.0 N) 1) 1/3)) in (N) around 0 0.704 * [taylor]: Taking taylor expansion of (log (pow (+ (* 1.0 N) 1) 1/3)) in N 0.704 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 N) 1) 1/3) in N 0.704 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1.0 N) 1)))) in N 0.704 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1.0 N) 1))) in N 0.704 * [taylor]: Taking taylor expansion of 1/3 in N 0.704 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 N) 1)) in N 0.704 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 0.704 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.704 * [taylor]: Taking taylor expansion of 1.0 in N 0.704 * [taylor]: Taking taylor expansion of N in N 0.704 * [taylor]: Taking taylor expansion of 1 in N 0.704 * [taylor]: Taking taylor expansion of (log (pow (+ (* 1.0 N) 1) 1/3)) in N 0.704 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 N) 1) 1/3) in N 0.704 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1.0 N) 1)))) in N 0.704 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1.0 N) 1))) in N 0.704 * [taylor]: Taking taylor expansion of 1/3 in N 0.704 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 N) 1)) in N 0.704 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 0.704 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.704 * [taylor]: Taking taylor expansion of 1.0 in N 0.704 * [taylor]: Taking taylor expansion of N in N 0.704 * [taylor]: Taking taylor expansion of 1 in N 0.706 * [approximate]: Taking taylor expansion of (log (pow (- 1 (* 1.0 N)) 1/3)) in (N) around 0 0.706 * [taylor]: Taking taylor expansion of (log (pow (- 1 (* 1.0 N)) 1/3)) in N 0.706 * [taylor]: Taking taylor expansion of (pow (- 1 (* 1.0 N)) 1/3) in N 0.706 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (* 1.0 N))))) in N 0.706 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (* 1.0 N)))) in N 0.706 * [taylor]: Taking taylor expansion of 1/3 in N 0.706 * [taylor]: Taking taylor expansion of (log (- 1 (* 1.0 N))) in N 0.706 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 N)) in N 0.706 * [taylor]: Taking taylor expansion of 1 in N 0.706 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.706 * [taylor]: Taking taylor expansion of 1.0 in N 0.706 * [taylor]: Taking taylor expansion of N in N 0.706 * [taylor]: Taking taylor expansion of (log (pow (- 1 (* 1.0 N)) 1/3)) in N 0.706 * [taylor]: Taking taylor expansion of (pow (- 1 (* 1.0 N)) 1/3) in N 0.706 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (* 1.0 N))))) in N 0.706 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (* 1.0 N)))) in N 0.706 * [taylor]: Taking taylor expansion of 1/3 in N 0.706 * [taylor]: Taking taylor expansion of (log (- 1 (* 1.0 N))) in N 0.706 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 N)) in N 0.706 * [taylor]: Taking taylor expansion of 1 in N 0.706 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.706 * [taylor]: Taking taylor expansion of 1.0 in N 0.706 * [taylor]: Taking taylor expansion of N in N 0.707 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.708 * [approximate]: Taking taylor expansion of (log (pow (+ (* 1.0 (/ 1 N)) 1) 1/3)) in (N) around 0 0.708 * [taylor]: Taking taylor expansion of (log (pow (+ (* 1.0 (/ 1 N)) 1) 1/3)) in N 0.708 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 N)) 1) 1/3) in N 0.708 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1.0 (/ 1 N)) 1)))) in N 0.708 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1.0 (/ 1 N)) 1))) in N 0.708 * [taylor]: Taking taylor expansion of 1/3 in N 0.708 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 N)) 1)) in N 0.708 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) 1) in N 0.708 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.708 * [taylor]: Taking taylor expansion of 1.0 in N 0.708 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.708 * [taylor]: Taking taylor expansion of N in N 0.708 * [taylor]: Taking taylor expansion of 1 in N 0.708 * [taylor]: Taking taylor expansion of (log (pow (+ (* 1.0 (/ 1 N)) 1) 1/3)) in N 0.708 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 N)) 1) 1/3) in N 0.708 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1.0 (/ 1 N)) 1)))) in N 0.708 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1.0 (/ 1 N)) 1))) in N 0.708 * [taylor]: Taking taylor expansion of 1/3 in N 0.708 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 N)) 1)) in N 0.708 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) 1) in N 0.708 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.708 * [taylor]: Taking taylor expansion of 1.0 in N 0.708 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.708 * [taylor]: Taking taylor expansion of N in N 0.708 * [taylor]: Taking taylor expansion of 1 in N 0.711 * [approximate]: Taking taylor expansion of (log (pow (+ (* 1.0 N) 1) 1/3)) in (N) around 0 0.711 * [taylor]: Taking taylor expansion of (log (pow (+ (* 1.0 N) 1) 1/3)) in N 0.711 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 N) 1) 1/3) in N 0.711 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1.0 N) 1)))) in N 0.711 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1.0 N) 1))) in N 0.711 * [taylor]: Taking taylor expansion of 1/3 in N 0.711 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 N) 1)) in N 0.711 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 0.711 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.711 * [taylor]: Taking taylor expansion of 1.0 in N 0.711 * [taylor]: Taking taylor expansion of N in N 0.711 * [taylor]: Taking taylor expansion of 1 in N 0.711 * [taylor]: Taking taylor expansion of (log (pow (+ (* 1.0 N) 1) 1/3)) in N 0.711 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 N) 1) 1/3) in N 0.711 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1.0 N) 1)))) in N 0.711 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1.0 N) 1))) in N 0.711 * [taylor]: Taking taylor expansion of 1/3 in N 0.711 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 N) 1)) in N 0.711 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 0.711 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.711 * [taylor]: Taking taylor expansion of 1.0 in N 0.711 * [taylor]: Taking taylor expansion of N in N 0.711 * [taylor]: Taking taylor expansion of 1 in N 0.712 * [approximate]: Taking taylor expansion of (log (pow (- 1 (* 1.0 N)) 1/3)) in (N) around 0 0.713 * [taylor]: Taking taylor expansion of (log (pow (- 1 (* 1.0 N)) 1/3)) in N 0.713 * [taylor]: Taking taylor expansion of (pow (- 1 (* 1.0 N)) 1/3) in N 0.713 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (* 1.0 N))))) in N 0.713 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (* 1.0 N)))) in N 0.713 * [taylor]: Taking taylor expansion of 1/3 in N 0.713 * [taylor]: Taking taylor expansion of (log (- 1 (* 1.0 N))) in N 0.713 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 N)) in N 0.713 * [taylor]: Taking taylor expansion of 1 in N 0.713 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.713 * [taylor]: Taking taylor expansion of 1.0 in N 0.713 * [taylor]: Taking taylor expansion of N in N 0.713 * [taylor]: Taking taylor expansion of (log (pow (- 1 (* 1.0 N)) 1/3)) in N 0.713 * [taylor]: Taking taylor expansion of (pow (- 1 (* 1.0 N)) 1/3) in N 0.713 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (* 1.0 N))))) in N 0.713 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (* 1.0 N)))) in N 0.713 * [taylor]: Taking taylor expansion of 1/3 in N 0.713 * [taylor]: Taking taylor expansion of (log (- 1 (* 1.0 N))) in N 0.713 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 N)) in N 0.713 * [taylor]: Taking taylor expansion of 1 in N 0.713 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.713 * [taylor]: Taking taylor expansion of 1.0 in N 0.713 * [taylor]: Taking taylor expansion of N in N 0.715 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.715 * [approximate]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 N)) 1) 1/3) in (N) around 0 0.715 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 N)) 1) 1/3) in N 0.715 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1.0 (/ 1 N)) 1)))) in N 0.715 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1.0 (/ 1 N)) 1))) in N 0.715 * [taylor]: Taking taylor expansion of 1/3 in N 0.715 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 N)) 1)) in N 0.715 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) 1) in N 0.715 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.715 * [taylor]: Taking taylor expansion of 1.0 in N 0.715 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.715 * [taylor]: Taking taylor expansion of N in N 0.715 * [taylor]: Taking taylor expansion of 1 in N 0.715 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 N)) 1) 1/3) in N 0.715 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1.0 (/ 1 N)) 1)))) in N 0.715 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1.0 (/ 1 N)) 1))) in N 0.715 * [taylor]: Taking taylor expansion of 1/3 in N 0.715 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 N)) 1)) in N 0.715 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) 1) in N 0.715 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.715 * [taylor]: Taking taylor expansion of 1.0 in N 0.715 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.715 * [taylor]: Taking taylor expansion of N in N 0.715 * [taylor]: Taking taylor expansion of 1 in N 0.717 * [approximate]: Taking taylor expansion of (pow (+ (* 1.0 N) 1) 1/3) in (N) around 0 0.717 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 N) 1) 1/3) in N 0.717 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1.0 N) 1)))) in N 0.717 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1.0 N) 1))) in N 0.717 * [taylor]: Taking taylor expansion of 1/3 in N 0.717 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 N) 1)) in N 0.717 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 0.717 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.717 * [taylor]: Taking taylor expansion of 1.0 in N 0.717 * [taylor]: Taking taylor expansion of N in N 0.717 * [taylor]: Taking taylor expansion of 1 in N 0.717 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 N) 1) 1/3) in N 0.717 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1.0 N) 1)))) in N 0.717 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1.0 N) 1))) in N 0.717 * [taylor]: Taking taylor expansion of 1/3 in N 0.717 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 N) 1)) in N 0.718 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 0.718 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.718 * [taylor]: Taking taylor expansion of 1.0 in N 0.718 * [taylor]: Taking taylor expansion of N in N 0.718 * [taylor]: Taking taylor expansion of 1 in N 0.719 * [approximate]: Taking taylor expansion of (pow (- 1 (* 1.0 N)) 1/3) in (N) around 0 0.719 * [taylor]: Taking taylor expansion of (pow (- 1 (* 1.0 N)) 1/3) in N 0.719 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (* 1.0 N))))) in N 0.719 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (* 1.0 N)))) in N 0.719 * [taylor]: Taking taylor expansion of 1/3 in N 0.719 * [taylor]: Taking taylor expansion of (log (- 1 (* 1.0 N))) in N 0.719 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 N)) in N 0.719 * [taylor]: Taking taylor expansion of 1 in N 0.719 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.719 * [taylor]: Taking taylor expansion of 1.0 in N 0.719 * [taylor]: Taking taylor expansion of N in N 0.719 * [taylor]: Taking taylor expansion of (pow (- 1 (* 1.0 N)) 1/3) in N 0.719 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (* 1.0 N))))) in N 0.719 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (* 1.0 N)))) in N 0.719 * [taylor]: Taking taylor expansion of 1/3 in N 0.719 * [taylor]: Taking taylor expansion of (log (- 1 (* 1.0 N))) in N 0.719 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 N)) in N 0.719 * [taylor]: Taking taylor expansion of 1 in N 0.719 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.719 * [taylor]: Taking taylor expansion of 1.0 in N 0.719 * [taylor]: Taking taylor expansion of N in N 0.720 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.720 * [approximate]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 N)) 1) 1/3) in (N) around 0 0.720 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 N)) 1) 1/3) in N 0.720 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1.0 (/ 1 N)) 1)))) in N 0.720 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1.0 (/ 1 N)) 1))) in N 0.720 * [taylor]: Taking taylor expansion of 1/3 in N 0.720 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 N)) 1)) in N 0.720 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) 1) in N 0.720 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.720 * [taylor]: Taking taylor expansion of 1.0 in N 0.720 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.720 * [taylor]: Taking taylor expansion of N in N 0.720 * [taylor]: Taking taylor expansion of 1 in N 0.721 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 (/ 1 N)) 1) 1/3) in N 0.721 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1.0 (/ 1 N)) 1)))) in N 0.721 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1.0 (/ 1 N)) 1))) in N 0.721 * [taylor]: Taking taylor expansion of 1/3 in N 0.721 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 N)) 1)) in N 0.721 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) 1) in N 0.721 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.721 * [taylor]: Taking taylor expansion of 1.0 in N 0.721 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.721 * [taylor]: Taking taylor expansion of N in N 0.721 * [taylor]: Taking taylor expansion of 1 in N 0.723 * [approximate]: Taking taylor expansion of (pow (+ (* 1.0 N) 1) 1/3) in (N) around 0 0.723 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 N) 1) 1/3) in N 0.723 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1.0 N) 1)))) in N 0.723 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1.0 N) 1))) in N 0.723 * [taylor]: Taking taylor expansion of 1/3 in N 0.723 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 N) 1)) in N 0.723 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 0.723 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.723 * [taylor]: Taking taylor expansion of 1.0 in N 0.723 * [taylor]: Taking taylor expansion of N in N 0.723 * [taylor]: Taking taylor expansion of 1 in N 0.723 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 N) 1) 1/3) in N 0.723 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1.0 N) 1)))) in N 0.723 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1.0 N) 1))) in N 0.723 * [taylor]: Taking taylor expansion of 1/3 in N 0.723 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 N) 1)) in N 0.723 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 0.723 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.723 * [taylor]: Taking taylor expansion of 1.0 in N 0.723 * [taylor]: Taking taylor expansion of N in N 0.723 * [taylor]: Taking taylor expansion of 1 in N 0.724 * [approximate]: Taking taylor expansion of (pow (- 1 (* 1.0 N)) 1/3) in (N) around 0 0.724 * [taylor]: Taking taylor expansion of (pow (- 1 (* 1.0 N)) 1/3) in N 0.724 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (* 1.0 N))))) in N 0.724 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (* 1.0 N)))) in N 0.724 * [taylor]: Taking taylor expansion of 1/3 in N 0.724 * [taylor]: Taking taylor expansion of (log (- 1 (* 1.0 N))) in N 0.724 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 N)) in N 0.724 * [taylor]: Taking taylor expansion of 1 in N 0.724 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.724 * [taylor]: Taking taylor expansion of 1.0 in N 0.724 * [taylor]: Taking taylor expansion of N in N 0.724 * [taylor]: Taking taylor expansion of (pow (- 1 (* 1.0 N)) 1/3) in N 0.724 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (* 1.0 N))))) in N 0.725 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (* 1.0 N)))) in N 0.725 * [taylor]: Taking taylor expansion of 1/3 in N 0.725 * [taylor]: Taking taylor expansion of (log (- 1 (* 1.0 N))) in N 0.725 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 N)) in N 0.725 * [taylor]: Taking taylor expansion of 1 in N 0.725 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.725 * [taylor]: Taking taylor expansion of 1.0 in N 0.725 * [taylor]: Taking taylor expansion of N in N 0.726 * * * [progress]: simplifying candidates 0.727 * [simplify]: Simplifying using # : (log (cbrt (* (cbrt (+ 1 (/ 1.0 N))) (cbrt (+ 1 (/ 1.0 N)))))) (log (cbrt (cbrt (+ 1 (/ 1.0 N))))) (log (cbrt (sqrt (+ 1 (/ 1.0 N))))) (log (cbrt (sqrt (+ 1 (/ 1.0 N))))) (log (cbrt 1)) (log (cbrt (+ 1 (/ 1.0 N)))) (log (cbrt 1)) (log (cbrt (+ 1 (/ 1.0 N)))) (log (* (cbrt (cbrt (+ 1 (/ 1.0 N)))) (cbrt (cbrt (+ 1 (/ 1.0 N)))))) (log (cbrt (cbrt (+ 1 (/ 1.0 N))))) (log (sqrt (cbrt (+ 1 (/ 1.0 N))))) (log (sqrt (cbrt (+ 1 (/ 1.0 N))))) (log 1) (log (cbrt (+ 1 (/ 1.0 N)))) (log (cbrt (+ (pow 1 3) (pow (/ 1.0 N) 3)))) (log (cbrt (+ (* 1 1) (- (* (/ 1.0 N) (/ 1.0 N)) (* 1 (/ 1.0 N)))))) (log (cbrt (- (* 1 1) (* (/ 1.0 N) (/ 1.0 N))))) (log (cbrt (- 1 (/ 1.0 N)))) (log (+ 1 (/ 1.0 N))) (log (cbrt (+ 1 (/ 1.0 N)))) (log (log (cbrt (+ 1 (/ 1.0 N))))) (exp (log (cbrt (+ 1 (/ 1.0 N))))) (* (cbrt (log (cbrt (+ 1 (/ 1.0 N))))) (cbrt (log (cbrt (+ 1 (/ 1.0 N)))))) (cbrt (log (cbrt (+ 1 (/ 1.0 N))))) (* (* (log (cbrt (+ 1 (/ 1.0 N)))) (log (cbrt (+ 1 (/ 1.0 N))))) (log (cbrt (+ 1 (/ 1.0 N))))) (sqrt (log (cbrt (+ 1 (/ 1.0 N))))) (sqrt (log (cbrt (+ 1 (/ 1.0 N))))) (log (cbrt (* (cbrt (+ 1 (/ 1.0 N))) (cbrt (+ 1 (/ 1.0 N)))))) (log (cbrt (cbrt (+ 1 (/ 1.0 N))))) (log (cbrt (sqrt (+ 1 (/ 1.0 N))))) (log (cbrt (sqrt (+ 1 (/ 1.0 N))))) (log (cbrt 1)) (log (cbrt (+ 1 (/ 1.0 N)))) (log (cbrt 1)) (log (cbrt (+ 1 (/ 1.0 N)))) (log (* (cbrt (cbrt (+ 1 (/ 1.0 N)))) (cbrt (cbrt (+ 1 (/ 1.0 N)))))) (log (cbrt (cbrt (+ 1 (/ 1.0 N))))) (log (sqrt (cbrt (+ 1 (/ 1.0 N))))) (log (sqrt (cbrt (+ 1 (/ 1.0 N))))) (log 1) (log (cbrt (+ 1 (/ 1.0 N)))) (log (cbrt (+ (pow 1 3) (pow (/ 1.0 N) 3)))) (log (cbrt (+ (* 1 1) (- (* (/ 1.0 N) (/ 1.0 N)) (* 1 (/ 1.0 N)))))) (log (cbrt (- (* 1 1) (* (/ 1.0 N) (/ 1.0 N))))) (log (cbrt (- 1 (/ 1.0 N)))) (log (+ 1 (/ 1.0 N))) (log (cbrt (+ 1 (/ 1.0 N)))) (log (log (cbrt (+ 1 (/ 1.0 N))))) (exp (log (cbrt (+ 1 (/ 1.0 N))))) (* (cbrt (log (cbrt (+ 1 (/ 1.0 N))))) (cbrt (log (cbrt (+ 1 (/ 1.0 N)))))) (cbrt (log (cbrt (+ 1 (/ 1.0 N))))) (* (* (log (cbrt (+ 1 (/ 1.0 N)))) (log (cbrt (+ 1 (/ 1.0 N))))) (log (cbrt (+ 1 (/ 1.0 N))))) (sqrt (log (cbrt (+ 1 (/ 1.0 N))))) (sqrt (log (cbrt (+ 1 (/ 1.0 N))))) (log (cbrt (+ 1 (/ 1.0 N)))) (exp (cbrt (+ 1 (/ 1.0 N)))) (cbrt (* (cbrt (+ 1 (/ 1.0 N))) (cbrt (+ 1 (/ 1.0 N))))) (cbrt (cbrt (+ 1 (/ 1.0 N)))) (cbrt (sqrt (+ 1 (/ 1.0 N)))) (cbrt (sqrt (+ 1 (/ 1.0 N)))) (cbrt 1) (cbrt (+ 1 (/ 1.0 N))) (cbrt 1) (cbrt (+ 1 (/ 1.0 N))) (cbrt (+ (pow 1 3) (pow (/ 1.0 N) 3))) (cbrt (+ (* 1 1) (- (* (/ 1.0 N) (/ 1.0 N)) (* 1 (/ 1.0 N))))) (cbrt (- (* 1 1) (* (/ 1.0 N) (/ 1.0 N)))) (cbrt (- 1 (/ 1.0 N))) (* (cbrt (cbrt (+ 1 (/ 1.0 N)))) (cbrt (cbrt (+ 1 (/ 1.0 N))))) (cbrt (cbrt (+ 1 (/ 1.0 N)))) (* (* (cbrt (+ 1 (/ 1.0 N))) (cbrt (+ 1 (/ 1.0 N)))) (cbrt (+ 1 (/ 1.0 N)))) (sqrt (cbrt (+ 1 (/ 1.0 N)))) (sqrt (cbrt (+ 1 (/ 1.0 N)))) (log (cbrt (+ 1 (/ 1.0 N)))) (exp (cbrt (+ 1 (/ 1.0 N)))) (cbrt (* (cbrt (+ 1 (/ 1.0 N))) (cbrt (+ 1 (/ 1.0 N))))) (cbrt (cbrt (+ 1 (/ 1.0 N)))) (cbrt (sqrt (+ 1 (/ 1.0 N)))) (cbrt (sqrt (+ 1 (/ 1.0 N)))) (cbrt 1) (cbrt (+ 1 (/ 1.0 N))) (cbrt 1) (cbrt (+ 1 (/ 1.0 N))) (cbrt (+ (pow 1 3) (pow (/ 1.0 N) 3))) (cbrt (+ (* 1 1) (- (* (/ 1.0 N) (/ 1.0 N)) (* 1 (/ 1.0 N))))) (cbrt (- (* 1 1) (* (/ 1.0 N) (/ 1.0 N)))) (cbrt (- 1 (/ 1.0 N))) (* (cbrt (cbrt (+ 1 (/ 1.0 N)))) (cbrt (cbrt (+ 1 (/ 1.0 N))))) (cbrt (cbrt (+ 1 (/ 1.0 N)))) (* (* (cbrt (+ 1 (/ 1.0 N))) (cbrt (+ 1 (/ 1.0 N)))) (cbrt (+ 1 (/ 1.0 N)))) (sqrt (cbrt (+ 1 (/ 1.0 N)))) (sqrt (cbrt (+ 1 (/ 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))) (* 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))) (* 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 (/ 1 N)) (pow 1 1/3)) (* 0.1111111111111111 (/ 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 (/ 1 N)) (pow 1 1/3)) (* 0.1111111111111111 (/ 1 (pow N 2)))) 0.775 * * [simplify]: iteration 0 : 4954 enodes (cost 886 ) 0.775 * * [simplify]: iteration 1 : 4954 enodes (cost 886 ) 0.779 * [simplify]: Simplified to: (log (cbrt (pow (exp 2) (log (cbrt (+ 1 (/ 1.0 N))))))) (log (cbrt (cbrt (+ 1 (/ 1.0 N))))) (log (cbrt (sqrt (+ 1 (/ 1.0 N))))) (log (cbrt (sqrt (+ 1 (/ 1.0 N))))) (log 1) (log (cbrt (+ 1 (/ 1.0 N)))) (log 1) (log (cbrt (+ 1 (/ 1.0 N)))) (* (log (cbrt (cbrt (+ 1 (/ 1.0 N))))) 2) (log (cbrt (cbrt (+ 1 (/ 1.0 N))))) (log (sqrt (cbrt (+ 1 (/ 1.0 N))))) (log (sqrt (cbrt (+ 1 (/ 1.0 N))))) (log 1) (log (cbrt (+ 1 (/ 1.0 N)))) (log (cbrt (+ 1 (pow (/ 1.0 N) 3)))) (log (cbrt (+ 1 (* (/ 1.0 N) (+ (/ 1.0 N) -1))))) (log (cbrt (- 1 (* (/ 1.0 N) (/ 1.0 N))))) (log (cbrt (- 1 (/ 1.0 N)))) (log (+ 1 (/ 1.0 N))) (log (cbrt (+ 1 (/ 1.0 N)))) (log (log (cbrt (+ 1 (/ 1.0 N))))) (cbrt (+ 1 (/ 1.0 N))) (* (cbrt (log (cbrt (+ 1 (/ 1.0 N))))) (cbrt (log (cbrt (+ 1 (/ 1.0 N)))))) (cbrt (log (cbrt (+ 1 (/ 1.0 N))))) (pow (log (cbrt (+ 1 (/ 1.0 N)))) 3) (sqrt (log (cbrt (+ 1 (/ 1.0 N))))) (sqrt (log (cbrt (+ 1 (/ 1.0 N))))) (log (cbrt (pow (exp 2) (log (cbrt (+ 1 (/ 1.0 N))))))) (log (cbrt (cbrt (+ 1 (/ 1.0 N))))) (log (cbrt (sqrt (+ 1 (/ 1.0 N))))) (log (cbrt (sqrt (+ 1 (/ 1.0 N))))) (log 1) (log (cbrt (+ 1 (/ 1.0 N)))) (log 1) (log (cbrt (+ 1 (/ 1.0 N)))) (* (log (cbrt (cbrt (+ 1 (/ 1.0 N))))) 2) (log (cbrt (cbrt (+ 1 (/ 1.0 N))))) (log (sqrt (cbrt (+ 1 (/ 1.0 N))))) (log (sqrt (cbrt (+ 1 (/ 1.0 N))))) (log 1) (log (cbrt (+ 1 (/ 1.0 N)))) (log (cbrt (+ 1 (pow (/ 1.0 N) 3)))) (log (cbrt (+ 1 (* (/ 1.0 N) (+ (/ 1.0 N) -1))))) (log (cbrt (- 1 (* (/ 1.0 N) (/ 1.0 N))))) (log (cbrt (- 1 (/ 1.0 N)))) (log (+ 1 (/ 1.0 N))) (log (cbrt (+ 1 (/ 1.0 N)))) (log (log (cbrt (+ 1 (/ 1.0 N))))) (cbrt (+ 1 (/ 1.0 N))) (* (cbrt (log (cbrt (+ 1 (/ 1.0 N))))) (cbrt (log (cbrt (+ 1 (/ 1.0 N)))))) (cbrt (log (cbrt (+ 1 (/ 1.0 N))))) (pow (log (cbrt (+ 1 (/ 1.0 N)))) 3) (sqrt (log (cbrt (+ 1 (/ 1.0 N))))) (sqrt (log (cbrt (+ 1 (/ 1.0 N))))) (log (cbrt (+ 1 (/ 1.0 N)))) (exp (cbrt (+ 1 (/ 1.0 N)))) (cbrt (pow (exp 2) (log (cbrt (+ 1 (/ 1.0 N)))))) (cbrt (cbrt (+ 1 (/ 1.0 N)))) (cbrt (sqrt (+ 1 (/ 1.0 N)))) (cbrt (sqrt (+ 1 (/ 1.0 N)))) 1 (cbrt (+ 1 (/ 1.0 N))) 1 (cbrt (+ 1 (/ 1.0 N))) (cbrt (+ 1 (pow (/ 1.0 N) 3))) (cbrt (+ 1 (* (/ 1.0 N) (+ (/ 1.0 N) -1)))) (cbrt (- 1 (* (/ 1.0 N) (/ 1.0 N)))) (cbrt (- 1 (/ 1.0 N))) (* (cbrt (cbrt (+ 1 (/ 1.0 N)))) (cbrt (cbrt (+ 1 (/ 1.0 N))))) (cbrt (cbrt (+ 1 (/ 1.0 N)))) (+ 1 (/ 1.0 N)) (sqrt (cbrt (+ 1 (/ 1.0 N)))) (sqrt (cbrt (+ 1 (/ 1.0 N)))) (log (cbrt (+ 1 (/ 1.0 N)))) (exp (cbrt (+ 1 (/ 1.0 N)))) (cbrt (pow (exp 2) (log (cbrt (+ 1 (/ 1.0 N)))))) (cbrt (cbrt (+ 1 (/ 1.0 N)))) (cbrt (sqrt (+ 1 (/ 1.0 N)))) (cbrt (sqrt (+ 1 (/ 1.0 N)))) 1 (cbrt (+ 1 (/ 1.0 N))) 1 (cbrt (+ 1 (/ 1.0 N))) (cbrt (+ 1 (pow (/ 1.0 N) 3))) (cbrt (+ 1 (* (/ 1.0 N) (+ (/ 1.0 N) -1)))) (cbrt (- 1 (* (/ 1.0 N) (/ 1.0 N)))) (cbrt (- 1 (/ 1.0 N))) (* (cbrt (cbrt (+ 1 (/ 1.0 N)))) (cbrt (cbrt (+ 1 (/ 1.0 N))))) (cbrt (cbrt (+ 1 (/ 1.0 N)))) (+ 1 (/ 1.0 N)) (sqrt (cbrt (+ 1 (/ 1.0 N)))) (sqrt (cbrt (+ 1 (/ 1.0 N)))) (+ (* 1/3 (- (log 1.0) (log N))) (* N (- 0.3333333333333333 (/ 1/6 (* 1.0 (/ 1.0 N)))))) (+ (log 1) (- (/ 0.3333333333333333 N) (/ 0.16666666666666666 (* N N)))) (+ (log 1) (- (/ 0.3333333333333333 N) (/ 0.16666666666666666 (* N N)))) (+ (* 1/3 (- (log 1.0) (log N))) (* N (- 0.3333333333333333 (/ 1/6 (* 1.0 (/ 1.0 N)))))) (+ (log 1) (- (/ 0.3333333333333333 N) (/ 0.16666666666666666 (* N N)))) (+ (log 1) (- (/ 0.3333333333333333 N) (/ 0.16666666666666666 (* N N)))) (+ (* (cbrt (/ 1.0 N)) (+ 1 (* N 0.3333333333333333))) (* (* N (* N (cbrt (/ 1.0 N)))) (- 0.05555555555555555 (/ 1/6 (* 1.0 1.0))))) (+ 1 (- (/ 0.3333333333333333 N) (/ 0.1111111111111111 (* N N)))) (+ 1 (- (/ 0.3333333333333333 N) (/ 0.1111111111111111 (* N N)))) (+ (* (cbrt (/ 1.0 N)) (+ 1 (* N 0.3333333333333333))) (* (* N (* N (cbrt (/ 1.0 N)))) (- 0.05555555555555555 (/ 1/6 (* 1.0 1.0))))) (+ 1 (- (/ 0.3333333333333333 N) (/ 0.1111111111111111 (* N N)))) (+ 1 (- (/ 0.3333333333333333 N) (/ 0.1111111111111111 (* N N)))) 0.779 * * * [progress]: adding candidates to table 0.927 * [progress]: [Phase 3 of 3] Extracting. 0.927 * * [regime]: Finding splitpoints for: (# # # # #) 0.927 * * * [regime-changes]: Trying 2 branch expressions: ((- (log (+ N 1.0)) (log N)) N) 0.927 * * * * [regimes]: Trying to branch on (- (log (+ N 1.0)) (log N)) from (# # # # #) 0.970 * * * * [regimes]: Trying to branch on N from (# # # # #) 1.009 * * * [regime]: Found split indices: #