13.321 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.055 * * * [progress]: [2/2] Setting up program. 0.061 * [progress]: [Phase 2 of 3] Improving. 0.061 * [simplify]: Simplifying using # : (- (atan (+ N 1.0)) (atan N)) 0.070 * * [simplify]: iteration 0 : 71 enodes (cost 7 ) 0.070 * * [simplify]: iteration 1 : 71 enodes (cost 7 ) 0.070 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.071 * * [progress]: iteration 1 / 4 0.071 * * * [progress]: picking best candidate 0.075 * * * * [pick]: Picked # 0.075 * * * [progress]: localizing error 0.087 * * * [progress]: generating rewritten candidates 0.087 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.094 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.097 * * * [progress]: generating series expansions 0.097 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.097 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.097 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.097 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.099 * [taylor]: Taking taylor expansion of (atan N) in N 0.099 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.099 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.100 * [taylor]: Taking taylor expansion of (atan N) in N 0.100 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.100 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.100 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.101 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.101 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.101 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.101 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.102 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.102 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.102 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.102 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.102 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.102 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.102 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.103 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.103 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.103 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.103 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.104 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.104 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.104 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.104 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.104 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.104 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.105 * * * [progress]: simplifying candidates 0.106 * [simplify]: Simplifying using # : (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)) (/ (exp (atan (+ N 1.0))) (exp (atan N))) (log (- (atan (+ N 1.0)) (atan N))) (exp (- (atan (+ N 1.0)) (atan N))) (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N)))) (cbrt (- (atan (+ N 1.0)) (atan N))) (* (* (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N))) (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1.0)) (atan (+ N 1.0))) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (atan N)))) (neg (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (atan (+ N 1.0)) (atan N)) (neg (atan N)) (log (atan (+ N 1.0))) (exp (atan (+ N 1.0))) (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (* (* (atan (+ N 1.0)) (atan (+ N 1.0))) (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (atan (+ N 1.0)) (atan (+ N 1.0)) (atan (+ N 1.0)) 0.234 * * [simplify]: iteration 0 : 5349 enodes (cost 239 ) 0.237 * [simplify]: Simplified to: 1.0 (+ 1 (* N (+ N 1.0))) (exp (- (atan (+ N 1.0)) (atan N))) (log (- (atan (+ N 1.0)) (atan N))) (exp (- (atan (+ N 1.0)) (atan N))) (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N)))) (cbrt (- (atan (+ N 1.0)) (atan N))) (pow (- (atan (+ N 1.0)) (atan N)) 3) (sqrt (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3)) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (+ (atan (+ N 1.0)) (atan N)))) (neg (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (atan (+ N 1.0)) (atan N)) (neg (atan N)) (log (atan (+ N 1.0))) (exp (atan (+ N 1.0))) (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (pow (atan (+ N 1.0)) 3) (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (atan (+ N 1.0)) (atan (+ N 1.0)) (atan (+ N 1.0)) 0.237 * * * [progress]: adding candidates to table 0.310 * * [progress]: iteration 2 / 4 0.310 * * * [progress]: picking best candidate 0.315 * * * * [pick]: Picked # 0.315 * * * [progress]: localizing error 0.327 * * * [progress]: generating rewritten candidates 0.327 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.329 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.342 * * * [progress]: generating series expansions 0.342 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.342 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.342 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.343 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.344 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.344 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.344 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.345 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.345 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.345 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.346 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.346 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 0.346 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.346 * [taylor]: Taking taylor expansion of N in N 0.346 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.347 * [taylor]: Taking taylor expansion of N in N 0.347 * [taylor]: Taking taylor expansion of 1.0 in N 0.347 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.347 * [taylor]: Taking taylor expansion of N in N 0.347 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.347 * [taylor]: Taking taylor expansion of N in N 0.347 * [taylor]: Taking taylor expansion of 1.0 in N 0.348 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 0.348 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.348 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.348 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.348 * [taylor]: Taking taylor expansion of N in N 0.348 * [taylor]: Taking taylor expansion of 1.0 in N 0.348 * [taylor]: Taking taylor expansion of N in N 0.348 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.349 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.349 * [taylor]: Taking taylor expansion of N in N 0.349 * [taylor]: Taking taylor expansion of 1.0 in N 0.349 * [taylor]: Taking taylor expansion of N in N 0.351 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 0.351 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.351 * [taylor]: Taking taylor expansion of -1 in N 0.351 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.351 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.351 * [taylor]: Taking taylor expansion of 1.0 in N 0.351 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.351 * [taylor]: Taking taylor expansion of N in N 0.351 * [taylor]: Taking taylor expansion of N in N 0.352 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.352 * [taylor]: Taking taylor expansion of -1 in N 0.352 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.352 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.352 * [taylor]: Taking taylor expansion of 1.0 in N 0.352 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.352 * [taylor]: Taking taylor expansion of N in N 0.352 * [taylor]: Taking taylor expansion of N in N 0.355 * * * [progress]: simplifying candidates 0.357 * [simplify]: Simplifying using # : (log (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (exp (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (* (cbrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (cbrt (atan2 1.0 (+ 1 (* N (+ N 1.0)))))) (cbrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (* (* (atan2 1.0 (+ 1 (* N (+ N 1.0)))) (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (sqrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (sqrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (* N (+ N 1.0)) (+ (log N) (log (+ N 1.0))) (log (* N (+ N 1.0))) (exp (* N (+ N 1.0))) (* (* (* N N) N) (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0))) (* (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0)))) (cbrt (* N (+ N 1.0))) (* (* (* N (+ N 1.0)) (* N (+ N 1.0))) (* N (+ N 1.0))) (sqrt (* N (+ N 1.0))) (sqrt (* N (+ N 1.0))) (* (sqrt N) (sqrt (+ N 1.0))) (* (sqrt N) (sqrt (+ N 1.0))) (* N N) (* N 1.0) (* N N) (* 1.0 N) (* N (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* N (sqrt (+ N 1.0))) (* N 1) (* N 1) (* (cbrt N) (+ N 1.0)) (* (sqrt N) (+ N 1.0)) (* N (+ N 1.0)) (* N (+ (pow N 3) (pow 1.0 3))) (* N (- (* N N) (* 1.0 1.0))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) 0.469 * * [simplify]: iteration 0 : 4907 enodes (cost 272 ) 0.470 * * [simplify]: iteration 1 : 4907 enodes (cost 272 ) 0.473 * [simplify]: Simplified to: (log (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (exp (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (* (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N)))))) (cbrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (pow (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) 3) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (sqrt (atan2 1.0 (+ 1 (* N (+ 1.0 N))))) (* N (+ 1.0 N)) (log (* N (+ 1.0 N))) (log (* N (+ 1.0 N))) (pow (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))) (* (sqrt N) (sqrt (+ 1.0 N))) (* (sqrt N) (sqrt (+ 1.0 N))) (* N N) (* 1.0 N) (* N N) (* 1.0 N) (* N (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (* N (sqrt (+ 1.0 N))) N N (* (+ 1.0 N) (cbrt N)) (* (+ 1.0 N) (sqrt N)) (* N (+ 1.0 N)) (+ (pow N 4) (* N (pow 1.0 3))) (- (pow N 3) (* 1.0 (* 1.0 N))) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (* N (+ 1.0 N)) (* N (+ 1.0 N)) (* N (+ 1.0 N)) 0.473 * * * [progress]: adding candidates to table 0.527 * * [progress]: iteration 3 / 4 0.527 * * * [progress]: picking best candidate 0.542 * * * * [pick]: Picked # 0.542 * * * [progress]: localizing error 0.557 * * * [progress]: generating rewritten candidates 0.557 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 2 2) 0.563 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 1) 0.569 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2) 0.574 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2) 0.602 * * * [progress]: generating series expansions 0.602 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 2 2) 0.602 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 0.602 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.602 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.602 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 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 1.0)) in N 0.602 * [taylor]: Taking taylor expansion of (+ N 1.0) 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 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.603 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.603 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.603 * [taylor]: Taking taylor expansion of 1/3 in N 0.603 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.603 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.603 * [taylor]: Taking taylor expansion of N in N 0.603 * [taylor]: Taking taylor expansion of 1.0 in N 0.606 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 0.606 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.606 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.606 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.606 * [taylor]: Taking taylor expansion of 1/3 in N 0.606 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.606 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.606 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.606 * [taylor]: Taking taylor expansion of N in N 0.606 * [taylor]: Taking taylor expansion of 1.0 in N 0.606 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.606 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.607 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.607 * [taylor]: Taking taylor expansion of 1/3 in N 0.607 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.607 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.607 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.607 * [taylor]: Taking taylor expansion of N in N 0.607 * [taylor]: Taking taylor expansion of 1.0 in N 0.610 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 0.610 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.610 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.610 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.610 * [taylor]: Taking taylor expansion of 1/3 in N 0.610 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.610 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.610 * [taylor]: Taking taylor expansion of 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 (pow (- 1.0 (/ 1 N)) 1/3) in N 0.610 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.611 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.611 * [taylor]: Taking taylor expansion of 1/3 in N 0.611 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.611 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.611 * [taylor]: Taking taylor expansion of 1.0 in N 0.611 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.611 * [taylor]: Taking taylor expansion of N in N 0.614 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 1) 0.614 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 0.614 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.614 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.614 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.614 * [taylor]: Taking taylor expansion of 1/3 in N 0.614 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.614 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.614 * [taylor]: Taking taylor expansion of N in N 0.614 * [taylor]: Taking taylor expansion of 1.0 in N 0.615 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.615 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.615 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.615 * [taylor]: Taking taylor expansion of 1/3 in N 0.615 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.615 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.615 * [taylor]: Taking taylor expansion of N in N 0.615 * [taylor]: Taking taylor expansion of 1.0 in N 0.618 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 0.618 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.618 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.618 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 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 (+ (/ 1 N) 1.0)) 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 (+ (/ 1 N) 1.0) 1/3) in N 0.618 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.618 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 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 (+ (/ 1 N) 1.0)) in N 0.619 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.619 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.619 * [taylor]: Taking taylor expansion of N in N 0.619 * [taylor]: Taking taylor expansion of 1.0 in N 0.622 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 0.622 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.622 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.622 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.622 * [taylor]: Taking taylor expansion of 1/3 in N 0.622 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.622 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.622 * [taylor]: Taking taylor expansion of 1.0 in N 0.622 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.622 * [taylor]: Taking taylor expansion of N in N 0.622 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.622 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.622 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.622 * [taylor]: Taking taylor expansion of 1/3 in N 0.623 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.623 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.623 * [taylor]: Taking taylor expansion of 1.0 in N 0.623 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.623 * [taylor]: Taking taylor expansion of N in N 0.626 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2) 0.626 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 0.626 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.626 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.626 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.626 * [taylor]: Taking taylor expansion of 1/3 in N 0.626 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.626 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.626 * [taylor]: Taking taylor expansion of N in N 0.626 * [taylor]: Taking taylor expansion of 1.0 in N 0.626 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.626 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.626 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.626 * [taylor]: Taking taylor expansion of 1/3 in N 0.626 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.626 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.626 * [taylor]: Taking taylor expansion of N in N 0.626 * [taylor]: Taking taylor expansion of 1.0 in N 0.629 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 0.629 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.629 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.629 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.629 * [taylor]: Taking taylor expansion of 1/3 in N 0.629 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.629 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.629 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.629 * [taylor]: Taking taylor expansion of N in N 0.629 * [taylor]: Taking taylor expansion of 1.0 in N 0.629 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.629 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.629 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.629 * [taylor]: Taking taylor expansion of 1/3 in N 0.629 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.629 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.629 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.630 * [taylor]: Taking taylor expansion of N in N 0.630 * [taylor]: Taking taylor expansion of 1.0 in N 0.633 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 0.633 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.633 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.633 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.633 * [taylor]: Taking taylor expansion of 1/3 in N 0.633 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.633 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.633 * [taylor]: Taking taylor expansion of 1.0 in N 0.633 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.633 * [taylor]: Taking taylor expansion of N in N 0.633 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.633 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.633 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.633 * [taylor]: Taking taylor expansion of 1/3 in N 0.634 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.634 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.634 * [taylor]: Taking taylor expansion of 1.0 in N 0.634 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.634 * [taylor]: Taking taylor expansion of N in N 0.637 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2) 0.637 * [approximate]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in (N) around 0 0.637 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in N 0.637 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1.0) 2)))) in N 0.637 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1.0) 2))) in N 0.637 * [taylor]: Taking taylor expansion of 1/3 in N 0.637 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 2)) in N 0.637 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 0.637 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.637 * [taylor]: Taking taylor expansion of N in N 0.637 * [taylor]: Taking taylor expansion of 1.0 in N 0.638 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in N 0.638 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1.0) 2)))) in N 0.638 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1.0) 2))) in N 0.638 * [taylor]: Taking taylor expansion of 1/3 in N 0.638 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 2)) in N 0.638 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 0.638 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.638 * [taylor]: Taking taylor expansion of N in N 0.638 * [taylor]: Taking taylor expansion of 1.0 in N 0.641 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in (N) around 0 0.641 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in N 0.641 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2)))) in N 0.641 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2))) in N 0.641 * [taylor]: Taking taylor expansion of 1/3 in N 0.641 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 2)) in N 0.641 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 0.641 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.641 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.641 * [taylor]: Taking taylor expansion of N in N 0.641 * [taylor]: Taking taylor expansion of 1.0 in N 0.642 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in N 0.642 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2)))) in N 0.642 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2))) in N 0.642 * [taylor]: Taking taylor expansion of 1/3 in N 0.642 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 2)) in N 0.642 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 0.642 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.642 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.642 * [taylor]: Taking taylor expansion of N in N 0.642 * [taylor]: Taking taylor expansion of 1.0 in N 0.645 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in (N) around 0 0.645 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in N 0.645 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2)))) in N 0.646 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2))) in N 0.646 * [taylor]: Taking taylor expansion of 1/3 in N 0.646 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 2)) in N 0.646 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 0.646 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.646 * [taylor]: Taking taylor expansion of 1.0 in N 0.646 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.646 * [taylor]: Taking taylor expansion of N in N 0.646 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in N 0.646 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2)))) in N 0.646 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2))) in N 0.646 * [taylor]: Taking taylor expansion of 1/3 in N 0.646 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 2)) in N 0.646 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 0.646 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.646 * [taylor]: Taking taylor expansion of 1.0 in N 0.646 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.646 * [taylor]: Taking taylor expansion of N in N 0.650 * * * [progress]: simplifying candidates 0.653 * [simplify]: Simplifying using # : (log (cbrt (+ 1.0 N))) (exp (cbrt (+ 1.0 N))) (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (cbrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) (cbrt 1) (cbrt (+ 1.0 N)) (cbrt 1) (cbrt (+ 1.0 N)) (cbrt (+ (pow 1.0 3) (pow N 3))) (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (cbrt (- (* 1.0 1.0) (* N N))) (cbrt (- 1.0 N)) (* (cbrt (cbrt (+ 1.0 N))) (cbrt (cbrt (+ 1.0 N)))) (cbrt (cbrt (+ 1.0 N))) (* (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (cbrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N))) (log (cbrt (+ 1.0 N))) (exp (cbrt (+ 1.0 N))) (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (cbrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) (cbrt 1) (cbrt (+ 1.0 N)) (cbrt 1) (cbrt (+ 1.0 N)) (cbrt (+ (pow 1.0 3) (pow N 3))) (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (cbrt (- (* 1.0 1.0) (* N N))) (cbrt (- 1.0 N)) (* (cbrt (cbrt (+ 1.0 N))) (cbrt (cbrt (+ 1.0 N)))) (cbrt (cbrt (+ 1.0 N))) (* (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (cbrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (+ 1/3 1/3) (+ 1 1) (* (+ 1.0 N) (+ 1.0 N)) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (+ 1 1) (+ (log (cbrt (+ 1.0 N))) (log (cbrt (+ 1.0 N)))) (log (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (exp (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (* (+ 1.0 N) (+ 1.0 N)) (* (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))))) (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (* (* (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (sqrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (sqrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (* (cbrt (+ (pow 1.0 3) (pow N 3))) (cbrt (+ (pow 1.0 3) (pow N 3)))) (* (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N))))) (* (cbrt (+ (pow 1.0 3) (pow N 3))) (cbrt (- (* 1.0 1.0) (* N N)))) (* (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (cbrt (- 1.0 N))) (* (cbrt (- (* 1.0 1.0) (* N N))) (cbrt (+ (pow 1.0 3) (pow N 3)))) (* (cbrt (- 1.0 N)) (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N))))) (* (cbrt (- (* 1.0 1.0) (* N N))) (cbrt (- (* 1.0 1.0) (* N N)))) (* (cbrt (- 1.0 N)) (cbrt (- 1.0 N))) (* (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))))) (* (cbrt (cbrt (+ 1.0 N))) (cbrt (cbrt (+ 1.0 N)))) (* (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N)))) (* (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (* (cbrt (cbrt (+ 1.0 N))) (cbrt (cbrt (+ 1.0 N)))) (* (cbrt (cbrt (+ 1.0 N))) (cbrt (cbrt (+ 1.0 N))))) (* (cbrt (cbrt (+ 1.0 N))) (cbrt (cbrt (+ 1.0 N)))) (* (sqrt (cbrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N)))) (* (sqrt (cbrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N)))) (* 1 1) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N)))) (* (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N)))) (* (cbrt (sqrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N)))) (* (cbrt (sqrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N)))) (* (sqrt (cbrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N)))) (* (sqrt (cbrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N)))) (* (sqrt (cbrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N)))) (* (sqrt (cbrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N)))) (* 2 1/3) (* 2 1) (* (cbrt (+ 1.0 N)) (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))))) (* (cbrt (+ 1.0 N)) (cbrt (sqrt (+ 1.0 N)))) (* (cbrt (+ 1.0 N)) (cbrt 1)) (* (cbrt (+ 1.0 N)) (cbrt 1)) (* (cbrt (+ 1.0 N)) (* (cbrt (cbrt (+ 1.0 N))) (cbrt (cbrt (+ 1.0 N))))) (* (cbrt (+ 1.0 N)) (sqrt (cbrt (+ 1.0 N)))) (* (cbrt (+ 1.0 N)) 1) (* (cbrt (cbrt (+ 1.0 N))) (cbrt (+ 1.0 N))) (* (cbrt (sqrt (+ 1.0 N))) (cbrt (+ 1.0 N))) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt (cbrt (+ 1.0 N))) (cbrt (+ 1.0 N))) (* (sqrt (cbrt (+ 1.0 N))) (cbrt (+ 1.0 N))) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt (+ 1.0 N)) (cbrt (+ (pow 1.0 3) (pow N 3)))) (* (cbrt (+ 1.0 N)) (cbrt (- (* 1.0 1.0) (* N N)))) (* (cbrt (+ (pow 1.0 3) (pow N 3))) (cbrt (+ 1.0 N))) (* (cbrt (- (* 1.0 1.0) (* N N))) (cbrt (+ 1.0 N))) (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (pow N 2)))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N)))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N))))) (pow N 2)))) (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (pow N 2)))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N)))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N))))) (pow N 2)))) (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (pow N 2)))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N)))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N))))) (pow N 2)))) (- (+ (pow 1.0 1/3) (+ (* 0.6666666666666666 (* N (pow 1.0 1/3))) (* 0.5555555555555556 (* (pow N 2) (pow 1.0 1/3))))) (* 0.6666666666666666 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (* 0.6666666666666666 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (pow N 2)))) (- (+ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 N)))))) (* 0.6666666666666666 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 N)))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 N)))))) (pow N 2)))) 0.751 * * [simplify]: iteration 0 : 5242 enodes (cost 1033 ) 0.760 * [simplify]: Simplified to: (log (cbrt (+ 1.0 N))) (exp (cbrt (+ 1.0 N))) (cbrt (pow (cbrt (+ 1.0 N)) 2)) (cbrt (cbrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) 1 (cbrt (+ 1.0 N)) 1 (cbrt (+ 1.0 N)) (cbrt (+ (pow 1.0 3) (pow N 3))) (cbrt (+ (* 1.0 1.0) (* N (- N 1.0)))) (cbrt (- (* 1.0 1.0) (* N N))) (cbrt (- 1.0 N)) (pow (cbrt (cbrt (+ 1.0 N))) 2) (cbrt (cbrt (+ 1.0 N))) (+ 1.0 N) (sqrt (cbrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N))) (log (cbrt (+ 1.0 N))) (exp (cbrt (+ 1.0 N))) (cbrt (pow (cbrt (+ 1.0 N)) 2)) (cbrt (cbrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) 1 (cbrt (+ 1.0 N)) 1 (cbrt (+ 1.0 N)) (cbrt (+ (pow 1.0 3) (pow N 3))) (cbrt (+ (* 1.0 1.0) (* N (- N 1.0)))) (cbrt (- (* 1.0 1.0) (* N N))) (cbrt (- 1.0 N)) (pow (cbrt (cbrt (+ 1.0 N))) 2) (cbrt (cbrt (+ 1.0 N))) (+ 1.0 N) (sqrt (cbrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N))) (log (cbrt (+ 1.0 N))) (exp (cbrt (+ 1.0 N))) (cbrt (pow (cbrt (+ 1.0 N)) 2)) (cbrt (cbrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) 1 (cbrt (+ 1.0 N)) 1 (cbrt (+ 1.0 N)) (cbrt (+ (pow 1.0 3) (pow N 3))) (cbrt (+ (* 1.0 1.0) (* N (- N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (pow (cbrt (cbrt (+ 1.0 N))) 2) (cbrt (cbrt (+ 1.0 N))) (+ 1.0 N) (sqrt (cbrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N))) 2/3 2 (pow (cbrt (+ 1.0 N)) 6) (pow (cbrt (+ 1.0 N)) 2) 2 (* (log (cbrt (+ 1.0 N))) 2) (* (log (cbrt (+ 1.0 N))) 2) (exp (pow (cbrt (+ 1.0 N)) 2)) (pow (cbrt (+ 1.0 N)) 6) (* (cbrt (pow (cbrt (+ 1.0 N)) 2)) (cbrt (pow (cbrt (+ 1.0 N)) 2))) (cbrt (pow (cbrt (+ 1.0 N)) 2)) (pow (cbrt (+ 1.0 N)) 6) (fabs (cbrt (+ 1.0 N))) (fabs (cbrt (+ 1.0 N))) (* (cbrt (+ (pow 1.0 3) (pow N 3))) (cbrt (+ (pow 1.0 3) (pow N 3)))) (* (cbrt (+ (* 1.0 1.0) (* N (- N 1.0)))) (cbrt (+ (* 1.0 1.0) (* N (- N 1.0))))) (* (cbrt (+ (pow 1.0 3) (pow N 3))) (cbrt (- (* 1.0 1.0) (* N N)))) (* (cbrt (+ (* 1.0 1.0) (* N (- N 1.0)))) (cbrt (- 1.0 N))) (* (cbrt (+ (pow 1.0 3) (pow N 3))) (cbrt (- (* 1.0 1.0) (* N N)))) (* (cbrt (+ (* 1.0 1.0) (* N (- N 1.0)))) (cbrt (- 1.0 N))) (* (cbrt (- (* 1.0 1.0) (* N N))) (cbrt (- (* 1.0 1.0) (* N N)))) (* (cbrt (- 1.0 N)) (cbrt (- 1.0 N))) (* (cbrt (pow (cbrt (+ 1.0 N)) 2)) (cbrt (pow (cbrt (+ 1.0 N)) 2))) (pow (cbrt (cbrt (+ 1.0 N))) 2) (* (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N)))) (* (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N)))) 1 (pow (cbrt (+ 1.0 N)) 2) 1 (pow (cbrt (+ 1.0 N)) 2) 1 (pow (cbrt (+ 1.0 N)) 2) 1 (pow (cbrt (+ 1.0 N)) 2) (pow (cbrt (cbrt (+ 1.0 N))) 4) (pow (cbrt (cbrt (+ 1.0 N))) 2) (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)) 1 (pow (cbrt (+ 1.0 N)) 2) (* (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N)))) (* (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N)))) (* (cbrt (sqrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N)))) (* (cbrt (sqrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N)))) (* (cbrt (sqrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N)))) (* (cbrt (sqrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N)))) (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)) 2/3 2 (* (cbrt (+ 1.0 N)) (cbrt (pow (cbrt (+ 1.0 N)) 2))) (* (cbrt (+ 1.0 N)) (cbrt (sqrt (+ 1.0 N)))) (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)) (pow (cbrt (cbrt (+ 1.0 N))) 5) (pow (sqrt (cbrt (+ 1.0 N))) 3) (cbrt (+ 1.0 N)) (pow (cbrt (cbrt (+ 1.0 N))) 4) (* (cbrt (+ 1.0 N)) (cbrt (sqrt (+ 1.0 N)))) (pow (cbrt (+ 1.0 N)) 2) (pow (cbrt (+ 1.0 N)) 2) (pow (cbrt (cbrt (+ 1.0 N))) 4) (pow (sqrt (cbrt (+ 1.0 N))) 3) (pow (cbrt (+ 1.0 N)) 2) (* (cbrt (+ 1.0 N)) (cbrt (+ (pow 1.0 3) (pow N 3)))) (* (cbrt (+ 1.0 N)) (cbrt (- (* 1.0 1.0) (* N N)))) (* (cbrt (+ 1.0 N)) (cbrt (+ (pow 1.0 3) (pow N 3)))) (* (cbrt (+ 1.0 N)) (cbrt (- (* 1.0 1.0) (* N N)))) (+ (* (cbrt 1.0) (+ (* N (+ 0.3333333333333333 (* N 0.05555555555555555))) 1)) (* N (* (* N (cbrt (/ 1 (pow 1.0 5)))) -1/6))) (+ (cbrt N) (* (/ (cbrt N) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (cbrt N) (* (/ (cbrt N) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (* (cbrt 1.0) (+ (* N (+ 0.3333333333333333 (* N 0.05555555555555555))) 1)) (* N (* (* N (cbrt (/ 1 (pow 1.0 5)))) -1/6))) (+ (cbrt N) (* (/ (cbrt N) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (cbrt N) (* (/ (cbrt N) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (* (cbrt 1.0) (+ (* N (+ 0.3333333333333333 (* N 0.05555555555555555))) 1)) (* N (* (* N (cbrt (/ 1 (pow 1.0 5)))) -1/6))) (+ (cbrt N) (* (/ (cbrt N) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (cbrt N) (* (/ (cbrt N) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (- (* (cbrt 1.0) (+ (* N (+ 0.6666666666666666 (* N 0.5555555555555556))) 1)) (* N (* N (* (cbrt (/ 1 (pow 1.0 5))) 0.6666666666666666)))) (+ (pow N 2/3) (* (/ (pow N 2/3) N) (- 0.6666666666666666 (/ 0.1111111111111111 N)))) (+ (pow N 2/3) (* (/ (pow N 2/3) N) (- 0.6666666666666666 (/ 0.1111111111111111 N)))) 0.761 * * * [progress]: adding candidates to table 1.146 * * [progress]: iteration 4 / 4 1.146 * * * [progress]: picking best candidate 1.177 * * * * [pick]: Picked # 1.177 * * * [progress]: localizing error 1.197 * * * [progress]: generating rewritten candidates 1.197 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 2) 1.199 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 1.201 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 1.204 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 1.218 * * * [progress]: generating series expansions 1.218 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 2) 1.218 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 1.218 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.218 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.218 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.218 * [taylor]: Taking taylor expansion of 1/3 in N 1.218 * [taylor]: Taking taylor expansion of (log N) in N 1.218 * [taylor]: Taking taylor expansion of N in N 1.218 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.218 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.218 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.218 * [taylor]: Taking taylor expansion of 1/3 in N 1.218 * [taylor]: Taking taylor expansion of (log N) in N 1.218 * [taylor]: Taking taylor expansion of N in N 1.228 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 1.228 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.228 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.228 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.229 * [taylor]: Taking taylor expansion of 1/3 in N 1.229 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.229 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.229 * [taylor]: Taking taylor expansion of N in N 1.229 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.229 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.229 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.229 * [taylor]: Taking taylor expansion of 1/3 in N 1.229 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.229 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.229 * [taylor]: Taking taylor expansion of N in N 1.242 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 1.242 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.242 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.242 * [taylor]: Taking taylor expansion of -1 in N 1.242 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.243 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.243 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.243 * [taylor]: Taking taylor expansion of 1/3 in N 1.243 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.243 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.243 * [taylor]: Taking taylor expansion of N in N 1.243 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.243 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.243 * [taylor]: Taking taylor expansion of -1 in N 1.243 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.243 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.243 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.243 * [taylor]: Taking taylor expansion of 1/3 in N 1.243 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.243 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.243 * [taylor]: Taking taylor expansion of N in N 1.260 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 1.260 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 1.260 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.260 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.260 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.260 * [taylor]: Taking taylor expansion of 1/3 in N 1.260 * [taylor]: Taking taylor expansion of (log N) in N 1.260 * [taylor]: Taking taylor expansion of N in N 1.260 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.260 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.260 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.260 * [taylor]: Taking taylor expansion of 1/3 in N 1.260 * [taylor]: Taking taylor expansion of (log N) in N 1.260 * [taylor]: Taking taylor expansion of N in N 1.271 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 1.271 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.271 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.271 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.271 * [taylor]: Taking taylor expansion of 1/3 in N 1.271 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.271 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.271 * [taylor]: Taking taylor expansion of N in N 1.271 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.271 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.271 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.271 * [taylor]: Taking taylor expansion of 1/3 in N 1.271 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.271 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.271 * [taylor]: Taking taylor expansion of N in N 1.283 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 1.283 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.283 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.283 * [taylor]: Taking taylor expansion of -1 in N 1.283 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.283 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.283 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.283 * [taylor]: Taking taylor expansion of 1/3 in N 1.283 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.283 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.283 * [taylor]: Taking taylor expansion of N in N 1.284 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.284 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.284 * [taylor]: Taking taylor expansion of -1 in N 1.284 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.284 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.284 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.284 * [taylor]: Taking taylor expansion of 1/3 in N 1.284 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.284 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.284 * [taylor]: Taking taylor expansion of N in N 1.298 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 1.298 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 1.298 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.298 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.298 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.298 * [taylor]: Taking taylor expansion of 1/3 in N 1.298 * [taylor]: Taking taylor expansion of (log N) in N 1.298 * [taylor]: Taking taylor expansion of N in N 1.298 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.298 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.298 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.298 * [taylor]: Taking taylor expansion of 1/3 in N 1.298 * [taylor]: Taking taylor expansion of (log N) in N 1.298 * [taylor]: Taking taylor expansion of N in N 1.309 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 1.309 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.309 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.309 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.309 * [taylor]: Taking taylor expansion of 1/3 in N 1.309 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.309 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.309 * [taylor]: Taking taylor expansion of N in N 1.309 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.309 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.309 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.309 * [taylor]: Taking taylor expansion of 1/3 in N 1.309 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.310 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.310 * [taylor]: Taking taylor expansion of N in N 1.321 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 1.321 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.321 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.321 * [taylor]: Taking taylor expansion of -1 in N 1.321 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.321 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.321 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.321 * [taylor]: Taking taylor expansion of 1/3 in N 1.321 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.321 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.321 * [taylor]: Taking taylor expansion of N in N 1.322 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.322 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.322 * [taylor]: Taking taylor expansion of -1 in N 1.322 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.322 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.322 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.322 * [taylor]: Taking taylor expansion of 1/3 in N 1.322 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.322 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.322 * [taylor]: Taking taylor expansion of N in N 1.336 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 1.336 * [approximate]: Taking taylor expansion of (pow (pow N 2) 1/3) in (N) around 0 1.336 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 1.337 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 1.337 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 1.337 * [taylor]: Taking taylor expansion of 1/3 in N 1.337 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 1.337 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.337 * [taylor]: Taking taylor expansion of N in N 1.337 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 1.337 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 1.337 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 1.337 * [taylor]: Taking taylor expansion of 1/3 in N 1.337 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 1.337 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.337 * [taylor]: Taking taylor expansion of N in N 1.349 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in (N) around 0 1.349 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 1.349 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 1.349 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 1.349 * [taylor]: Taking taylor expansion of 1/3 in N 1.349 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 1.349 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.349 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.349 * [taylor]: Taking taylor expansion of N in N 1.350 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 1.350 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 1.350 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 1.350 * [taylor]: Taking taylor expansion of 1/3 in N 1.350 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 1.350 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.350 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.350 * [taylor]: Taking taylor expansion of N in N 1.362 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)) in (N) around 0 1.362 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)) in N 1.362 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 1.362 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.362 * [taylor]: Taking taylor expansion of -1 in N 1.363 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 1.363 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 1.363 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 1.363 * [taylor]: Taking taylor expansion of 1/3 in N 1.363 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 1.363 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.363 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.363 * [taylor]: Taking taylor expansion of N in N 1.363 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)) in N 1.363 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 1.363 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.363 * [taylor]: Taking taylor expansion of -1 in N 1.363 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 1.363 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 1.363 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 1.363 * [taylor]: Taking taylor expansion of 1/3 in N 1.363 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 1.364 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.364 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.364 * [taylor]: Taking taylor expansion of N in N 1.381 * * * [progress]: simplifying candidates 1.383 * [simplify]: Simplifying using # : (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (+ 1/3 1/3) (+ 1 1) (* N N) (* (cbrt N) (cbrt N)) (+ 1 1) (+ (log (cbrt N)) (log (cbrt N))) (log (* (cbrt N) (cbrt N))) (exp (* (cbrt N) (cbrt N))) (* N N) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (* (cbrt N) (cbrt N)))) (cbrt (* (cbrt N) (cbrt N))) (* (* (* (cbrt N) (cbrt N)) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (sqrt (* (cbrt N) (cbrt N))) (sqrt (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (* (cbrt N) (cbrt N)))) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N)) (* (* (cbrt (cbrt N)) (cbrt (cbrt N))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (* (sqrt (cbrt N)) (sqrt (cbrt N))) (* (sqrt (cbrt N)) (sqrt (cbrt N))) (* 1 1) (* (cbrt N) (cbrt N)) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (sqrt (cbrt N))) (* (cbrt (sqrt N)) (sqrt (cbrt N))) (* (sqrt (cbrt N)) (cbrt (sqrt N))) (* (sqrt (cbrt N)) (cbrt (sqrt N))) (* (sqrt (cbrt N)) (sqrt (cbrt N))) (* (sqrt (cbrt N)) (sqrt (cbrt N))) (* 2 1/3) (* 2 1) (* (cbrt N) (cbrt (* (cbrt N) (cbrt N)))) (* (cbrt N) (cbrt (sqrt N))) (* (cbrt N) (cbrt 1)) (* (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (* (cbrt N) (sqrt (cbrt N))) (* (cbrt N) 1) (* (cbrt (cbrt N)) (cbrt N)) (* (cbrt (sqrt N)) (cbrt N)) (* (cbrt N) (cbrt N)) (* (cbrt (cbrt N)) (cbrt N)) (* (sqrt (cbrt N)) (cbrt N)) (* (cbrt N) (cbrt N)) (exp (* 1/3 (+ (log 1) (log N)))) (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 N)))))) (exp (* 1/3 (+ (log 1) (log N)))) (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 N)))))) (exp (* 1/3 (+ (log 1) (log N)))) (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 N)))))) (exp (* 1/3 (+ (log 1) (* 2 (log N))))) (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 N))))))) 1.461 * * [simplify]: iteration 0 : 5165 enodes (cost 356 ) 1.466 * [simplify]: Simplified to: (log (cbrt N)) (exp (cbrt N)) (cbrt (pow N 2/3)) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (pow (cbrt (cbrt N)) 2) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (pow N 2/3)) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (pow (cbrt (cbrt N)) 2) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (pow N 2/3)) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (pow (cbrt (cbrt N)) 2) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) 2/3 2 (* N N) (pow N 2/3) 2 (* 2/3 (log N)) (* 2/3 (log N)) (exp (pow N 2/3)) (* N N) (* (cbrt (pow N 2/3)) (cbrt (pow N 2/3))) (cbrt (pow N 2/3)) (* N N) (fabs (cbrt N)) (fabs (cbrt N)) (* (cbrt (pow N 2/3)) (cbrt (pow N 2/3))) (pow (cbrt (cbrt N)) 2) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) 1 (pow N 2/3) (pow (cbrt (cbrt N)) 4) (pow (cbrt (cbrt N)) 2) (cbrt N) (cbrt N) 1 (pow N 2/3) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (sqrt (cbrt N))) (* (cbrt (sqrt N)) (sqrt (cbrt N))) (* (cbrt (sqrt N)) (sqrt (cbrt N))) (* (cbrt (sqrt N)) (sqrt (cbrt N))) (cbrt N) (cbrt N) 2/3 2 (* (cbrt N) (cbrt (pow N 2/3))) (* (cbrt N) (cbrt (sqrt N))) (cbrt N) (pow (cbrt (cbrt N)) 5) (pow (sqrt (cbrt N)) 3) (cbrt N) (pow (cbrt (cbrt N)) 4) (* (cbrt N) (cbrt (sqrt N))) (pow N 2/3) (pow (cbrt (cbrt N)) 4) (pow (sqrt (cbrt N)) 3) (pow N 2/3) (cbrt N) (cbrt N) (* (cbrt -1) (cbrt (* N -1))) (cbrt N) (cbrt N) (* (cbrt -1) (cbrt (* N -1))) (cbrt N) (cbrt N) (* (cbrt -1) (cbrt (* N -1))) (pow N 2/3) (pow N 2/3) (* (pow N 2/3) (pow (cbrt -1) 2)) 1.467 * * * [progress]: adding candidates to table 1.639 * [progress]: [Phase 3 of 3] Extracting. 1.639 * * [regime]: Finding splitpoints for: (# # # # # # # #) 1.641 * * * [regime-changes]: Trying 2 branch expressions: ((- (atan (+ N 1.0)) (atan N)) N) 1.641 * * * * [regimes]: Trying to branch on (- (atan (+ N 1.0)) (atan N)) from (# # # # # # # #) 1.736 * * * * [regimes]: Trying to branch on N from (# # # # # # # #) 1.825 * * * [regime]: Found split indices: #