6.511 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.032 * * * [progress]: [2/2] Setting up program. 0.034 * [progress]: [Phase 2 of 3] Improving. 0.034 * [simplify]: Simplifying using # : (- (atan (+ N 1.0)) (atan N)) 0.037 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.038 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.039 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.039 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.039 * * [progress]: iteration 1 / 4 0.040 * * * [progress]: picking best candidate 0.041 * * * * [pick]: Picked # 0.041 * * * [progress]: localizing error 0.047 * * * [progress]: generating rewritten candidates 0.047 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.050 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.050 * * * [progress]: generating series expansions 0.051 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.051 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.051 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.051 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.052 * [taylor]: Taking taylor expansion of (atan N) in N 0.052 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.052 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.052 * [taylor]: Taking taylor expansion of (atan N) in N 0.055 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.055 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.055 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.055 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.055 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.055 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.055 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.058 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.058 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.058 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.059 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.059 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.059 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.059 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.062 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.062 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.062 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.062 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.062 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.062 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.062 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.062 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.062 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.062 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.063 * * * [progress]: simplifying candidates 0.063 * [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)))) (- (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)) (- (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)) 0.066 * * [simplify]: iteration 0 : 75 enodes (cost 154 ) 0.068 * * [simplify]: iteration 1 : 145 enodes (cost 145 ) 0.071 * * [simplify]: iteration 2 : 289 enodes (cost 143 ) 0.075 * * [simplify]: iteration 3 : 681 enodes (cost 142 ) 0.088 * * [simplify]: iteration 4 : 2491 enodes (cost 142 ) 0.137 * * [simplify]: iteration 5 : 5001 enodes (cost 142 ) 0.138 * [simplify]: Simplified to: 1.0 (+ 1 (* (+ N 1.0) N)) (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 1.0)) (+ (atan (+ N 1.0)) (atan N))) (* (atan N) (atan N))) (- 0 (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)) (- 0 (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)) 0.138 * * * [progress]: adding candidates to table 0.186 * * [progress]: iteration 2 / 4 0.187 * * * [progress]: picking best candidate 0.190 * * * * [pick]: Picked # 0.190 * * * [progress]: localizing error 0.196 * * * [progress]: generating rewritten candidates 0.196 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.196 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.207 * * * [progress]: generating series expansions 0.207 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.207 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.207 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.207 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.208 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.208 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.208 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.208 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.208 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.209 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.209 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.209 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 0.209 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.209 * [taylor]: Taking taylor expansion of N in N 0.209 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.209 * [taylor]: Taking taylor expansion of N in N 0.209 * [taylor]: Taking taylor expansion of 1.0 in N 0.209 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.209 * [taylor]: Taking taylor expansion of N in N 0.209 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.209 * [taylor]: Taking taylor expansion of N in N 0.209 * [taylor]: Taking taylor expansion of 1.0 in N 0.219 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 0.219 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.219 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.219 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.219 * [taylor]: Taking taylor expansion of N in N 0.219 * [taylor]: Taking taylor expansion of 1.0 in N 0.219 * [taylor]: Taking taylor expansion of N in N 0.219 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.219 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.219 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.220 * [taylor]: Taking taylor expansion of N in N 0.220 * [taylor]: Taking taylor expansion of 1.0 in N 0.220 * [taylor]: Taking taylor expansion of N in N 0.234 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 0.234 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.234 * [taylor]: Taking taylor expansion of -1 in N 0.234 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.234 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.234 * [taylor]: Taking taylor expansion of 1.0 in N 0.234 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.234 * [taylor]: Taking taylor expansion of N in N 0.234 * [taylor]: Taking taylor expansion of N in N 0.235 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.235 * [taylor]: Taking taylor expansion of -1 in N 0.235 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.235 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.235 * [taylor]: Taking taylor expansion of 1.0 in N 0.235 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.235 * [taylor]: Taking taylor expansion of N in N 0.235 * [taylor]: Taking taylor expansion of N in N 0.254 * * * [progress]: simplifying candidates 0.254 * [simplify]: Simplifying using # : (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)))) (* (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (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)) (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)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (+ N 1.0) (sqrt N)) (* (+ N 1.0) 1) (* (cbrt (+ N 1.0)) N) (* (sqrt (+ N 1.0)) N) (* (+ N 1.0) N) (* (+ N 1.0) N) (* (+ (pow N 3) (pow 1.0 3)) N) (* (- (* N N) (* 1.0 1.0)) N) (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)) 0.258 * * [simplify]: iteration 0 : 121 enodes (cost 151 ) 0.261 * * [simplify]: iteration 1 : 432 enodes (cost 127 ) 0.270 * * [simplify]: iteration 2 : 2321 enodes (cost 127 ) 0.307 * * [simplify]: iteration 3 : 5002 enodes (cost 127 ) 0.308 * [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)) (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 1.0)) (sqrt N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (+ N 1.0) (sqrt N)) (+ N 1.0) (* (cbrt (+ N 1.0)) N) (* (sqrt (+ N 1.0)) N) (* (+ N 1.0) N) (* (+ N 1.0) N) (* (+ (pow N 3) (pow 1.0 3)) N) (* (- (* N N) (* 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) 0.308 * * * [progress]: adding candidates to table 0.359 * * [progress]: iteration 3 / 4 0.359 * * * [progress]: picking best candidate 0.368 * * * * [pick]: Picked # 0.368 * * * [progress]: localizing error 0.378 * * * [progress]: generating rewritten candidates 0.378 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 0.378 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2) 0.379 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 1) 0.379 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2) 0.387 * * * [progress]: generating series expansions 0.387 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 0.387 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 0.387 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.387 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.387 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.387 * [taylor]: Taking taylor expansion of 1/3 in N 0.387 * [taylor]: Taking taylor expansion of (log N) in N 0.387 * [taylor]: Taking taylor expansion of N in N 0.388 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.388 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.388 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.388 * [taylor]: Taking taylor expansion of 1/3 in N 0.388 * [taylor]: Taking taylor expansion of (log N) in N 0.388 * [taylor]: Taking taylor expansion of N in N 0.438 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 0.438 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.439 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.439 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.439 * [taylor]: Taking taylor expansion of 1/3 in N 0.439 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.439 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.439 * [taylor]: Taking taylor expansion of N in N 0.439 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.439 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.440 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.440 * [taylor]: Taking taylor expansion of 1/3 in N 0.440 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.440 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.440 * [taylor]: Taking taylor expansion of N in N 0.496 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 0.496 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.496 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.496 * [taylor]: Taking taylor expansion of -1 in N 0.496 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.496 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.497 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.497 * [taylor]: Taking taylor expansion of 1/3 in N 0.497 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.497 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.497 * [taylor]: Taking taylor expansion of N in N 0.497 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.497 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.497 * [taylor]: Taking taylor expansion of -1 in N 0.498 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.498 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.498 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.498 * [taylor]: Taking taylor expansion of 1/3 in N 0.498 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.498 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.498 * [taylor]: Taking taylor expansion of N in N 0.565 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2) 0.565 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 0.565 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.565 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.565 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.565 * [taylor]: Taking taylor expansion of 1/3 in N 0.565 * [taylor]: Taking taylor expansion of (log N) in N 0.565 * [taylor]: Taking taylor expansion of N in N 0.566 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.566 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.566 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.566 * [taylor]: Taking taylor expansion of 1/3 in N 0.566 * [taylor]: Taking taylor expansion of (log N) in N 0.566 * [taylor]: Taking taylor expansion of N in N 0.612 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 0.612 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.612 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.612 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.612 * [taylor]: Taking taylor expansion of 1/3 in N 0.612 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.612 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.612 * [taylor]: Taking taylor expansion of N in N 0.613 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.613 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.613 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.613 * [taylor]: Taking taylor expansion of 1/3 in N 0.613 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.613 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.613 * [taylor]: Taking taylor expansion of N in N 0.669 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 0.669 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.669 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.669 * [taylor]: Taking taylor expansion of -1 in N 0.670 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.670 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.670 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.670 * [taylor]: Taking taylor expansion of 1/3 in N 0.670 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.670 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.670 * [taylor]: Taking taylor expansion of N in N 0.671 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.671 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.671 * [taylor]: Taking taylor expansion of -1 in N 0.671 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.671 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.671 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.671 * [taylor]: Taking taylor expansion of 1/3 in N 0.671 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.671 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.671 * [taylor]: Taking taylor expansion of N in N 0.738 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 1) 0.738 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 0.738 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.738 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.738 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.738 * [taylor]: Taking taylor expansion of 1/3 in N 0.738 * [taylor]: Taking taylor expansion of (log N) in N 0.738 * [taylor]: Taking taylor expansion of N in N 0.739 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.739 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.739 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.739 * [taylor]: Taking taylor expansion of 1/3 in N 0.739 * [taylor]: Taking taylor expansion of (log N) in N 0.739 * [taylor]: Taking taylor expansion of N in N 0.791 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 0.791 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.791 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.791 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.791 * [taylor]: Taking taylor expansion of 1/3 in N 0.791 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.791 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.791 * [taylor]: Taking taylor expansion of N in N 0.792 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.792 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.792 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.792 * [taylor]: Taking taylor expansion of 1/3 in N 0.792 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.792 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.792 * [taylor]: Taking taylor expansion of N in N 0.849 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 0.849 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.849 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.849 * [taylor]: Taking taylor expansion of -1 in N 0.849 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.849 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.849 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.849 * [taylor]: Taking taylor expansion of 1/3 in N 0.849 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.849 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.849 * [taylor]: Taking taylor expansion of N in N 0.850 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.850 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.850 * [taylor]: Taking taylor expansion of -1 in N 0.851 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.851 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.851 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.851 * [taylor]: Taking taylor expansion of 1/3 in N 0.851 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.851 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.851 * [taylor]: Taking taylor expansion of N in N 0.912 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2) 0.913 * [approximate]: Taking taylor expansion of (pow (pow N 2) 1/3) in (N) around 0 0.913 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 0.913 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 0.913 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 0.913 * [taylor]: Taking taylor expansion of 1/3 in N 0.913 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 0.913 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.913 * [taylor]: Taking taylor expansion of N in N 0.914 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 0.914 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 0.914 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 0.914 * [taylor]: Taking taylor expansion of 1/3 in N 0.914 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 0.914 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.914 * [taylor]: Taking taylor expansion of N in N 0.969 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in (N) around 0 0.970 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 0.970 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 0.970 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 0.970 * [taylor]: Taking taylor expansion of 1/3 in N 0.970 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 0.970 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.970 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.970 * [taylor]: Taking taylor expansion of N in N 0.971 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 0.971 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 0.971 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 0.971 * [taylor]: Taking taylor expansion of 1/3 in N 0.971 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 0.971 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.971 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.971 * [taylor]: Taking taylor expansion of N in N 1.032 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)) in (N) around 0 1.032 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)) in N 1.032 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 1.032 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.032 * [taylor]: Taking taylor expansion of -1 in N 1.033 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 1.033 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 1.033 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 1.033 * [taylor]: Taking taylor expansion of 1/3 in N 1.033 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 1.033 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.033 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.033 * [taylor]: Taking taylor expansion of N in N 1.034 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)) in N 1.034 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 1.034 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.034 * [taylor]: Taking taylor expansion of -1 in N 1.035 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 1.035 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 1.035 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 1.035 * [taylor]: Taking taylor expansion of 1/3 in N 1.035 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 1.035 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.035 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.035 * [taylor]: Taking taylor expansion of N in N 1.113 * * * [progress]: simplifying candidates 1.115 * [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)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (pow N 2/3) (pow (/ 1 N) -2/3) (* (pow (cbrt -1) 2) (pow (pow N 2) 1/3)) 1.118 * * [simplify]: iteration 0 : 115 enodes (cost 288 ) 1.122 * * [simplify]: iteration 1 : 472 enodes (cost 261 ) 1.136 * * [simplify]: iteration 2 : 2959 enodes (cost 238 ) 1.202 * * [simplify]: iteration 3 : 5003 enodes (cost 235 ) 1.204 * [simplify]: Simplified to: (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (pow N 1/3) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) 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)) 1 (pow N 1/3) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) 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)) 1 (pow N 1/3) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) 2/3 2 (pow N 2) (pow N 2/3) 2 (* 2/3 (log N)) (* 2/3 (log N)) (exp (pow N 2/3)) (pow N 2) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (* (cbrt N) (cbrt N)))) (cbrt (* (cbrt N) (cbrt N))) (pow N 2) (fabs (pow N 1/3)) (fabs (pow N 1/3)) (* (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))) 1 (pow N 2/3) (pow (cbrt (cbrt N)) 4) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (pow N 1/3) (pow N 1/3) 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))) (pow N 1/3) (pow N 1/3) 2/3 2 (* (cbrt N) (cbrt (* (cbrt N) (cbrt N)))) (* (cbrt N) (cbrt (sqrt N))) (pow N 1/3) (pow (cbrt (cbrt N)) 5) (pow (sqrt (cbrt N)) 3) (pow N 1/3) (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) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (pow N 2/3) (pow (/ 1 N) -2/3) (* (pow (cbrt -1) 2) (pow (pow N 2) 1/3)) 1.204 * * * [progress]: adding candidates to table 1.396 * * [progress]: iteration 4 / 4 1.396 * * * [progress]: picking best candidate 1.404 * * * * [pick]: Picked # 1.405 * * * [progress]: localizing error 1.417 * * * [progress]: generating rewritten candidates 1.417 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 2) 1.419 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2) 1.419 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 1.439 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.441 * * * [progress]: generating series expansions 1.441 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 2) 1.441 * [approximate]: Taking taylor expansion of (pow (pow N 2) 1/3) in (N) around 0 1.441 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 1.441 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 1.441 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 1.441 * [taylor]: Taking taylor expansion of 1/3 in N 1.441 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 1.441 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.441 * [taylor]: Taking taylor expansion of N in N 1.442 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 1.442 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 1.443 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 1.443 * [taylor]: Taking taylor expansion of 1/3 in N 1.443 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 1.443 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.443 * [taylor]: Taking taylor expansion of N in N 1.501 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in (N) around 0 1.501 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 1.501 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 1.501 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 1.501 * [taylor]: Taking taylor expansion of 1/3 in N 1.501 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 1.501 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.501 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.501 * [taylor]: Taking taylor expansion of N in N 1.502 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 1.502 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 1.502 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 1.502 * [taylor]: Taking taylor expansion of 1/3 in N 1.502 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 1.502 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.502 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.502 * [taylor]: Taking taylor expansion of N in N 1.563 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in (N) around 0 1.563 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 1.563 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 1.563 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 1.563 * [taylor]: Taking taylor expansion of 1/3 in N 1.563 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 1.563 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.563 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.563 * [taylor]: Taking taylor expansion of N in N 1.564 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 1.564 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 1.564 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 1.564 * [taylor]: Taking taylor expansion of 1/3 in N 1.564 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 1.564 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.564 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.564 * [taylor]: Taking taylor expansion of N in N 1.625 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2) 1.625 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 1.625 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.625 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.625 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.625 * [taylor]: Taking taylor expansion of 1/3 in N 1.625 * [taylor]: Taking taylor expansion of (log N) in N 1.625 * [taylor]: Taking taylor expansion of N in N 1.626 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.626 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.626 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.626 * [taylor]: Taking taylor expansion of 1/3 in N 1.626 * [taylor]: Taking taylor expansion of (log N) in N 1.626 * [taylor]: Taking taylor expansion of N in N 1.673 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 1.673 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.673 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.673 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.673 * [taylor]: Taking taylor expansion of 1/3 in N 1.673 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.673 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.673 * [taylor]: Taking taylor expansion of N in N 1.674 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.674 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.674 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.674 * [taylor]: Taking taylor expansion of 1/3 in N 1.674 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.674 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.674 * [taylor]: Taking taylor expansion of N in N 1.730 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 1.730 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.730 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.730 * [taylor]: Taking taylor expansion of -1 in N 1.730 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.730 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.731 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.731 * [taylor]: Taking taylor expansion of 1/3 in N 1.731 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.731 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.731 * [taylor]: Taking taylor expansion of N in N 1.731 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.731 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.731 * [taylor]: Taking taylor expansion of -1 in N 1.732 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.732 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.732 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.732 * [taylor]: Taking taylor expansion of 1/3 in N 1.732 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.732 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.732 * [taylor]: Taking taylor expansion of N in N 1.797 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 1.797 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 1.797 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.797 * [taylor]: Taking taylor expansion of N in N 1.797 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.797 * [taylor]: Taking taylor expansion of N in N 1.797 * [taylor]: Taking taylor expansion of 1.0 in N 1.797 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.797 * [taylor]: Taking taylor expansion of N in N 1.797 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.797 * [taylor]: Taking taylor expansion of N in N 1.797 * [taylor]: Taking taylor expansion of 1.0 in N 1.806 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 1.806 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.806 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.806 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.806 * [taylor]: Taking taylor expansion of N in N 1.806 * [taylor]: Taking taylor expansion of 1.0 in N 1.806 * [taylor]: Taking taylor expansion of N in N 1.807 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.807 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.807 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.807 * [taylor]: Taking taylor expansion of N in N 1.807 * [taylor]: Taking taylor expansion of 1.0 in N 1.807 * [taylor]: Taking taylor expansion of N in N 1.817 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (- 1.0 (/ 1 N))) N) in (N) around 0 1.817 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (- 1.0 (/ 1 N))) N) in N 1.817 * [taylor]: Taking taylor expansion of (* (cbrt -1) (- 1.0 (/ 1 N))) in N 1.817 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.817 * [taylor]: Taking taylor expansion of -1 in N 1.818 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.818 * [taylor]: Taking taylor expansion of 1.0 in N 1.818 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.818 * [taylor]: Taking taylor expansion of N in N 1.818 * [taylor]: Taking taylor expansion of N in N 1.820 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (- 1.0 (/ 1 N))) N) in N 1.820 * [taylor]: Taking taylor expansion of (* (cbrt -1) (- 1.0 (/ 1 N))) in N 1.820 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.820 * [taylor]: Taking taylor expansion of -1 in N 1.821 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.821 * [taylor]: Taking taylor expansion of 1.0 in N 1.821 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.821 * [taylor]: Taking taylor expansion of N in N 1.821 * [taylor]: Taking taylor expansion of N in N 1.856 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.856 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 1.857 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 1.857 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 1.858 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 1.858 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 1.858 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 1.859 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (cbrt -1) N)) 1) (/ (cbrt -1) (pow N 2)))) in (N) around 0 1.859 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (cbrt -1) N)) 1) (/ (cbrt -1) (pow N 2)))) in N 1.860 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (cbrt -1) N)) 1) (/ (cbrt -1) (pow N 2)))) in N 1.862 * * * [progress]: simplifying candidates 1.863 * [simplify]: Simplifying using # : (log (cbrt (pow N 2))) (exp (cbrt (pow N 2))) (cbrt (pow (* (cbrt N) (cbrt N)) 2)) (cbrt (pow (cbrt N) 2)) (cbrt (pow (sqrt N) 2)) (cbrt (pow (sqrt N) 2)) (cbrt (pow 1 2)) (cbrt (pow N 2)) (cbrt N) (cbrt N) (cbrt (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (cbrt (cbrt (pow N 2))) (cbrt (sqrt (pow N 2))) (cbrt (sqrt (pow N 2))) (cbrt 1) (cbrt (pow N 2)) (cbrt (pow N (/ 2 2))) (cbrt (pow N (/ 2 2))) (* (cbrt (cbrt (pow N 2))) (cbrt (cbrt (pow N 2)))) (cbrt (cbrt (pow N 2))) (* (* (cbrt (pow N 2)) (cbrt (pow N 2))) (cbrt (pow N 2))) (sqrt (cbrt (pow N 2))) (sqrt (cbrt (pow N 2))) (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)) (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt N)) (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt N)) (+ (+ (log (+ N 1.0)) (log (cbrt (pow N 2)))) (log (cbrt N))) (+ (log (* (+ N 1.0) (cbrt (pow N 2)))) (log (cbrt N))) (log (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt N))) (exp (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt N))) (* (* (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (pow N 2)) N) (* (* (* (* (+ N 1.0) (cbrt (pow N 2))) (* (+ N 1.0) (cbrt (pow N 2)))) (* (+ N 1.0) (cbrt (pow N 2)))) N) (* (cbrt (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt N))) (cbrt (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt N)))) (cbrt (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt N))) (* (* (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt N)) (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt N))) (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt N))) (sqrt (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt N))) (sqrt (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt N))) (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt (* (cbrt N) (cbrt N)))) (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt (sqrt N))) (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt 1)) (* (* (+ N 1.0) (cbrt (pow N 2))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (* (* (+ N 1.0) (cbrt (pow N 2))) (sqrt (cbrt N))) (* (* (+ N 1.0) (cbrt (pow N 2))) 1) (* (cbrt (pow N 2)) (cbrt N)) (* (* (+ (pow N 3) (pow 1.0 3)) (cbrt (pow N 2))) (cbrt N)) (* (* (- (* N N) (* 1.0 1.0)) (cbrt (pow N 2))) (cbrt N)) (log (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt N))))) (exp (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt N))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt N))))) (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt N))))) (* (* (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt N)))) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt N))))) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt N))))) (sqrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt N))))) (sqrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt N))))) (pow N 2/3) (pow (/ 1 N) -2/3) (pow (/ -1 N) -2/3) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) (- (+ (* 1.0 (* (cbrt -1) N)) (* (cbrt -1) (pow N 2)))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (- 1 (+ (* 1.0 (* (cbrt -1) N)) (* (cbrt -1) (pow N 2))))) 1.868 * * [simplify]: iteration 0 : 265 enodes (cost 418 ) 1.873 * * [simplify]: iteration 1 : 1012 enodes (cost 368 ) 1.896 * * [simplify]: iteration 2 : 5001 enodes (cost 342 ) 1.898 * [simplify]: Simplified to: (log (cbrt (pow N 2))) (exp (cbrt (pow N 2))) (cbrt (pow (* (cbrt N) (cbrt N)) 2)) (cbrt (pow (cbrt N) 2)) (pow N 1/3) (pow N 1/3) 1 (cbrt (pow N 2)) (pow N 1/3) (pow N 1/3) (cbrt (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (cbrt (cbrt (pow N 2))) (cbrt (sqrt (pow N 2))) (cbrt (sqrt (pow N 2))) 1 (cbrt (pow N 2)) (pow N 1/3) (pow N 1/3) (* (cbrt (cbrt (pow N 2))) (cbrt (cbrt (pow N 2)))) (cbrt (cbrt (pow N 2))) (pow N 2) (sqrt (cbrt (pow N 2))) (sqrt (cbrt (pow N 2))) (log (cbrt N)) (exp (cbrt N)) (cbrt (pow (cbrt N) 2)) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (pow N 1/3) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt N)) (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt N)) (log (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt N))) (log (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt N))) (log (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt N))) (exp (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt N))) (* (pow N 3) (pow (+ N 1.0) 3)) (* (pow N 3) (pow (+ N 1.0) 3)) (* (cbrt (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt N))) (cbrt (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt N)))) (cbrt (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt N))) (* (pow N 3) (pow (+ N 1.0) 3)) (sqrt (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt N))) (sqrt (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt N))) (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt (pow (cbrt N) 2))) (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt (sqrt N))) (* (+ N 1.0) (cbrt (pow N 2))) (* (* (+ N 1.0) (cbrt (pow N 2))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (* (* (+ N 1.0) (cbrt (pow N 2))) (sqrt (cbrt N))) (* (+ N 1.0) (cbrt (pow N 2))) (* (cbrt (pow N 2)) (cbrt N)) (* (* (+ (pow N 3) (pow 1.0 3)) (cbrt (pow N 2))) (cbrt N)) (* (* (- (* N N) (* 1.0 1.0)) (cbrt (pow N 2))) (cbrt N)) (log (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt N))))) (exp (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt N))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt N))))) (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt N))))) (pow (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt N)))) 3) (sqrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt N))))) (sqrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (pow N 2))) (cbrt N))))) (pow N 2/3) (pow (/ 1 N) -2/3) (pow (/ -1 N) -2/3) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (* N (+ N 1.0)) (* N (+ N 1.0)) (* (* (cbrt -1) N) (- (- 1.0) N)) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (- 1 (+ (* 1.0 (* (cbrt -1) N)) (* (cbrt -1) (pow N 2))))) 1.898 * * * [progress]: adding candidates to table 2.069 * [progress]: [Phase 3 of 3] Extracting. 2.069 * * [regime]: Finding splitpoints for: (# # # # # # # #) 2.070 * * * [regime-changes]: Trying 2 branch expressions: ((- (atan (+ N 1.0)) (atan N)) N) 2.070 * * * * [regimes]: Trying to branch on (- (atan (+ N 1.0)) (atan N)) from (# # # # # # # #) 2.099 * * * * [regimes]: Trying to branch on N from (# # # # # # # #) 2.123 * * * [regime]: Found split indices: #