11.414 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.027 * * * [progress]: [2/2] Setting up program. 0.029 * [progress]: [Phase 2 of 3] Improving. 0.029 * [simplify]: Simplifying using # : (- (atan (+ N 1.0)) (atan N)) 0.031 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.032 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.034 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.034 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.034 * * [progress]: iteration 1 / 4 0.034 * * * [progress]: picking best candidate 0.035 * * * * [pick]: Picked # 0.036 * * * [progress]: localizing error 0.041 * * * [progress]: generating rewritten candidates 0.041 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.045 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.046 * * * [progress]: generating series expansions 0.046 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.046 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.046 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.046 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.046 * [taylor]: Taking taylor expansion of (atan N) in N 0.046 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.046 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.046 * [taylor]: Taking taylor expansion of (atan N) in N 0.050 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.050 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.050 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.050 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.050 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.050 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.050 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.053 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.053 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.053 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.053 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.053 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.053 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.053 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.056 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.056 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.056 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.057 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.057 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.057 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.057 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.057 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.057 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.057 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.057 * * * [progress]: simplifying candidates 0.058 * [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)) 0.065 * * [simplify]: iteration 0 : 75 enodes (cost 154 ) 0.067 * * [simplify]: iteration 1 : 145 enodes (cost 145 ) 0.069 * * [simplify]: iteration 2 : 289 enodes (cost 143 ) 0.074 * * [simplify]: iteration 3 : 681 enodes (cost 142 ) 0.087 * * [simplify]: iteration 4 : 2447 enodes (cost 142 ) 0.134 * * [simplify]: iteration 5 : 5001 enodes (cost 142 ) 0.135 * [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)) 0.135 * * * [progress]: adding candidates to table 0.171 * * [progress]: iteration 2 / 4 0.171 * * * [progress]: picking best candidate 0.173 * * * * [pick]: Picked # 0.173 * * * [progress]: localizing error 0.179 * * * [progress]: generating rewritten candidates 0.179 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.179 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.186 * * * [progress]: generating series expansions 0.186 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.186 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.186 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.186 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.187 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.187 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.187 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.188 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.188 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.188 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.189 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.189 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 0.189 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.189 * [taylor]: Taking taylor expansion of N in N 0.189 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.189 * [taylor]: Taking taylor expansion of N in N 0.189 * [taylor]: Taking taylor expansion of 1.0 in N 0.189 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.189 * [taylor]: Taking taylor expansion of N in N 0.189 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.189 * [taylor]: Taking taylor expansion of N in N 0.189 * [taylor]: Taking taylor expansion of 1.0 in N 0.198 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 0.198 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.198 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.198 * [taylor]: Taking taylor expansion of N in N 0.199 * [taylor]: Taking taylor expansion of 1.0 in N 0.199 * [taylor]: Taking taylor expansion of N in N 0.199 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.199 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.199 * [taylor]: Taking taylor expansion of N in N 0.200 * [taylor]: Taking taylor expansion of 1.0 in N 0.200 * [taylor]: Taking taylor expansion of N in N 0.215 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 0.215 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.215 * [taylor]: Taking taylor expansion of -1 in N 0.215 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.215 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.215 * [taylor]: Taking taylor expansion of 1.0 in N 0.215 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.215 * [taylor]: Taking taylor expansion of N in N 0.215 * [taylor]: Taking taylor expansion of N in N 0.216 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.216 * [taylor]: Taking taylor expansion of -1 in N 0.216 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.216 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.216 * [taylor]: Taking taylor expansion of 1.0 in N 0.216 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.216 * [taylor]: Taking taylor expansion of N in N 0.216 * [taylor]: Taking taylor expansion of N in N 0.234 * * * [progress]: simplifying candidates 0.235 * [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)) 0.238 * * [simplify]: iteration 0 : 121 enodes (cost 151 ) 0.241 * * [simplify]: iteration 1 : 432 enodes (cost 127 ) 0.251 * * [simplify]: iteration 2 : 2321 enodes (cost 127 ) 0.288 * * [simplify]: iteration 3 : 5002 enodes (cost 127 ) 0.290 * [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) 0.290 * * * [progress]: adding candidates to table 0.338 * * [progress]: iteration 3 / 4 0.338 * * * [progress]: picking best candidate 0.346 * * * * [pick]: Picked # 0.346 * * * [progress]: localizing error 0.356 * * * [progress]: generating rewritten candidates 0.356 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 0.357 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2) 0.358 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 1) 0.360 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2) 0.367 * * * [progress]: generating series expansions 0.367 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 0.367 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 0.367 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.367 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.367 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.367 * [taylor]: Taking taylor expansion of 1/3 in N 0.367 * [taylor]: Taking taylor expansion of (log N) in N 0.367 * [taylor]: Taking taylor expansion of N in N 0.368 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.368 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.368 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.368 * [taylor]: Taking taylor expansion of 1/3 in N 0.368 * [taylor]: Taking taylor expansion of (log N) in N 0.368 * [taylor]: Taking taylor expansion of N in N 0.421 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 0.421 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.421 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.421 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.421 * [taylor]: Taking taylor expansion of 1/3 in N 0.421 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.421 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.421 * [taylor]: Taking taylor expansion of N in N 0.422 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.422 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.422 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.422 * [taylor]: Taking taylor expansion of 1/3 in N 0.422 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.422 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.422 * [taylor]: Taking taylor expansion of N in N 0.474 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 0.474 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.474 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.474 * [taylor]: Taking taylor expansion of -1 in N 0.481 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.481 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.481 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.481 * [taylor]: Taking taylor expansion of 1/3 in N 0.481 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.481 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.481 * [taylor]: Taking taylor expansion of N in N 0.482 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.482 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.482 * [taylor]: Taking taylor expansion of -1 in N 0.483 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.483 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.483 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.483 * [taylor]: Taking taylor expansion of 1/3 in N 0.483 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.483 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.483 * [taylor]: Taking taylor expansion of N in N 0.545 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2) 0.545 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 0.545 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.546 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.546 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.546 * [taylor]: Taking taylor expansion of 1/3 in N 0.546 * [taylor]: Taking taylor expansion of (log N) in N 0.546 * [taylor]: Taking taylor expansion of N in N 0.546 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.546 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.546 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.546 * [taylor]: Taking taylor expansion of 1/3 in N 0.546 * [taylor]: Taking taylor expansion of (log N) in N 0.546 * [taylor]: Taking taylor expansion of N in N 0.600 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 0.600 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.600 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.600 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.600 * [taylor]: Taking taylor expansion of 1/3 in N 0.600 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.600 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.600 * [taylor]: Taking taylor expansion of N in N 0.601 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.601 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.601 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.601 * [taylor]: Taking taylor expansion of 1/3 in N 0.601 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.601 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.601 * [taylor]: Taking taylor expansion of N in N 0.657 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 0.657 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.657 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.657 * [taylor]: Taking taylor expansion of -1 in N 0.658 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.658 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.658 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.658 * [taylor]: Taking taylor expansion of 1/3 in N 0.658 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.658 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.658 * [taylor]: Taking taylor expansion of N in N 0.659 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.659 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.659 * [taylor]: Taking taylor expansion of -1 in N 0.660 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.660 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.660 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.660 * [taylor]: Taking taylor expansion of 1/3 in N 0.660 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.660 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.660 * [taylor]: Taking taylor expansion of N in N 0.728 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 1) 0.728 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 0.728 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.728 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.728 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.728 * [taylor]: Taking taylor expansion of 1/3 in N 0.728 * [taylor]: Taking taylor expansion of (log N) in N 0.728 * [taylor]: Taking taylor expansion of N in N 0.729 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.729 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.729 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.729 * [taylor]: Taking taylor expansion of 1/3 in N 0.729 * [taylor]: Taking taylor expansion of (log N) in N 0.729 * [taylor]: Taking taylor expansion of N in N 0.776 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 0.776 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.776 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.776 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.776 * [taylor]: Taking taylor expansion of 1/3 in N 0.776 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.776 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.776 * [taylor]: Taking taylor expansion of N in N 0.777 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.777 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.777 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.777 * [taylor]: Taking taylor expansion of 1/3 in N 0.777 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.777 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.777 * [taylor]: Taking taylor expansion of N in N 0.832 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 0.832 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.832 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.832 * [taylor]: Taking taylor expansion of -1 in N 0.833 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.833 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.833 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.833 * [taylor]: Taking taylor expansion of 1/3 in N 0.833 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.833 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.833 * [taylor]: Taking taylor expansion of N in N 0.834 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.834 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.834 * [taylor]: Taking taylor expansion of -1 in N 0.835 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.835 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.835 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.835 * [taylor]: Taking taylor expansion of 1/3 in N 0.835 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.835 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.835 * [taylor]: Taking taylor expansion of N in N 0.900 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2) 0.900 * [approximate]: Taking taylor expansion of (pow (pow N 2) 1/3) in (N) around 0 0.900 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 0.900 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 0.900 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 0.900 * [taylor]: Taking taylor expansion of 1/3 in N 0.900 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 0.900 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.900 * [taylor]: Taking taylor expansion of N in N 0.901 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 0.901 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 0.901 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 0.901 * [taylor]: Taking taylor expansion of 1/3 in N 0.901 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 0.901 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.901 * [taylor]: Taking taylor expansion of N in N 0.957 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in (N) around 0 0.957 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 0.957 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 0.957 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 0.957 * [taylor]: Taking taylor expansion of 1/3 in N 0.957 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 0.957 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.957 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.957 * [taylor]: Taking taylor expansion of N in N 0.958 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 0.959 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 0.959 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 0.959 * [taylor]: Taking taylor expansion of 1/3 in N 0.959 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 0.959 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.959 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.959 * [taylor]: Taking taylor expansion of N in N 1.019 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)) in (N) around 0 1.019 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)) in N 1.020 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 1.020 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.020 * [taylor]: Taking taylor expansion of -1 in N 1.020 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 1.020 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 1.020 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 1.020 * [taylor]: Taking taylor expansion of 1/3 in N 1.020 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 1.020 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.020 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.020 * [taylor]: Taking taylor expansion of N in N 1.021 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)) in N 1.021 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 1.022 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.022 * [taylor]: Taking taylor expansion of -1 in N 1.022 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 1.022 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 1.022 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 1.022 * [taylor]: Taking taylor expansion of 1/3 in N 1.022 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 1.022 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.022 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.022 * [taylor]: Taking taylor expansion of N in N 1.099 * * * [progress]: simplifying candidates 1.100 * [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)) 1.104 * * [simplify]: iteration 0 : 115 enodes (cost 288 ) 1.107 * * [simplify]: iteration 1 : 472 enodes (cost 261 ) 1.121 * * [simplify]: iteration 2 : 2959 enodes (cost 238 ) 1.185 * * [simplify]: iteration 3 : 5003 enodes (cost 235 ) 1.187 * [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)) 1.188 * * * [progress]: adding candidates to table 1.394 * * [progress]: iteration 4 / 4 1.394 * * * [progress]: picking best candidate 1.399 * * * * [pick]: Picked # 1.399 * * * [progress]: localizing error 1.416 * * * [progress]: generating rewritten candidates 1.416 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 2 2) 1.422 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2) 1.423 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 2 1) 1.424 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2 1 2 1 2) 1.426 * * * [progress]: generating series expansions 1.426 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 2 2) 1.426 * [approximate]: Taking taylor expansion of (pow N 1/9) in (N) around 0 1.426 * [taylor]: Taking taylor expansion of (pow N 1/9) in N 1.426 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log N))) in N 1.426 * [taylor]: Taking taylor expansion of (* 1/9 (log N)) in N 1.426 * [taylor]: Taking taylor expansion of 1/9 in N 1.426 * [taylor]: Taking taylor expansion of (log N) in N 1.426 * [taylor]: Taking taylor expansion of N in N 1.427 * [taylor]: Taking taylor expansion of (pow N 1/9) in N 1.427 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log N))) in N 1.427 * [taylor]: Taking taylor expansion of (* 1/9 (log N)) in N 1.427 * [taylor]: Taking taylor expansion of 1/9 in N 1.427 * [taylor]: Taking taylor expansion of (log N) in N 1.427 * [taylor]: Taking taylor expansion of N in N 1.473 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/9) in (N) around 0 1.473 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/9) in N 1.473 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 N)))) in N 1.474 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 N))) in N 1.474 * [taylor]: Taking taylor expansion of 1/9 in N 1.474 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.474 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.474 * [taylor]: Taking taylor expansion of N in N 1.474 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/9) in N 1.474 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 N)))) in N 1.474 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 N))) in N 1.474 * [taylor]: Taking taylor expansion of 1/9 in N 1.474 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.474 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.475 * [taylor]: Taking taylor expansion of N in N 1.529 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ 1 N) 1/9)) in (N) around 0 1.529 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ 1 N) 1/9)) in N 1.529 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in N 1.530 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in N 1.530 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in N 1.530 * [taylor]: Taking taylor expansion of 1/3 in N 1.530 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in N 1.530 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.530 * [taylor]: Taking taylor expansion of -1 in N 1.533 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/9) in N 1.533 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 N)))) in N 1.533 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 N))) in N 1.533 * [taylor]: Taking taylor expansion of 1/9 in N 1.533 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.533 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.533 * [taylor]: Taking taylor expansion of N in N 1.534 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ 1 N) 1/9)) in N 1.534 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in N 1.534 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in N 1.534 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in N 1.534 * [taylor]: Taking taylor expansion of 1/3 in N 1.534 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in N 1.534 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.534 * [taylor]: Taking taylor expansion of -1 in N 1.538 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/9) in N 1.538 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 N)))) in N 1.538 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 N))) in N 1.538 * [taylor]: Taking taylor expansion of 1/9 in N 1.538 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.538 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.538 * [taylor]: Taking taylor expansion of N in N 1.660 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2) 1.660 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 1.660 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.660 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.660 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.660 * [taylor]: Taking taylor expansion of 1/3 in N 1.660 * [taylor]: Taking taylor expansion of (log N) in N 1.660 * [taylor]: Taking taylor expansion of N in N 1.661 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.661 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.661 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.661 * [taylor]: Taking taylor expansion of 1/3 in N 1.661 * [taylor]: Taking taylor expansion of (log N) in N 1.661 * [taylor]: Taking taylor expansion of N in N 1.713 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 1.713 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.713 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.713 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.713 * [taylor]: Taking taylor expansion of 1/3 in N 1.713 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.713 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.713 * [taylor]: Taking taylor expansion of N in N 1.714 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.714 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.714 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.714 * [taylor]: Taking taylor expansion of 1/3 in N 1.714 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.714 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.714 * [taylor]: Taking taylor expansion of N in N 1.763 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 1.763 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.763 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.763 * [taylor]: Taking taylor expansion of -1 in N 1.764 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.764 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.764 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.764 * [taylor]: Taking taylor expansion of 1/3 in N 1.764 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.764 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.764 * [taylor]: Taking taylor expansion of N in N 1.765 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.765 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.765 * [taylor]: Taking taylor expansion of -1 in N 1.766 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.766 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.766 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.766 * [taylor]: Taking taylor expansion of 1/3 in N 1.766 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.766 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.766 * [taylor]: Taking taylor expansion of N in N 1.832 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 2 1) 1.832 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 1.832 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.832 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.832 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.832 * [taylor]: Taking taylor expansion of 1/3 in N 1.832 * [taylor]: Taking taylor expansion of (log N) in N 1.832 * [taylor]: Taking taylor expansion of N in N 1.833 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.833 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.833 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.833 * [taylor]: Taking taylor expansion of 1/3 in N 1.833 * [taylor]: Taking taylor expansion of (log N) in N 1.833 * [taylor]: Taking taylor expansion of N in N 1.885 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 1.885 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.885 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.885 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.885 * [taylor]: Taking taylor expansion of 1/3 in N 1.885 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.885 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.885 * [taylor]: Taking taylor expansion of N in N 1.889 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.889 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.889 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.889 * [taylor]: Taking taylor expansion of 1/3 in N 1.889 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.889 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.889 * [taylor]: Taking taylor expansion of N in N 1.956 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 1.957 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.957 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.957 * [taylor]: Taking taylor expansion of -1 in N 1.957 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.957 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.957 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.957 * [taylor]: Taking taylor expansion of 1/3 in N 1.957 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.957 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.957 * [taylor]: Taking taylor expansion of N in N 1.958 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.958 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.958 * [taylor]: Taking taylor expansion of -1 in N 1.959 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.959 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.959 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.959 * [taylor]: Taking taylor expansion of 1/3 in N 1.959 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.959 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.959 * [taylor]: Taking taylor expansion of N in N 2.025 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2 1 2 1 2) 2.025 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 2.025 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 2.025 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 2.025 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 2.025 * [taylor]: Taking taylor expansion of 1/3 in N 2.025 * [taylor]: Taking taylor expansion of (log N) in N 2.025 * [taylor]: Taking taylor expansion of N in N 2.026 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 2.026 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 2.026 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 2.026 * [taylor]: Taking taylor expansion of 1/3 in N 2.026 * [taylor]: Taking taylor expansion of (log N) in N 2.026 * [taylor]: Taking taylor expansion of N in N 2.071 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 2.071 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.071 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.071 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.071 * [taylor]: Taking taylor expansion of 1/3 in N 2.071 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.071 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.071 * [taylor]: Taking taylor expansion of N in N 2.072 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.072 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.072 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.072 * [taylor]: Taking taylor expansion of 1/3 in N 2.072 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.072 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.072 * [taylor]: Taking taylor expansion of N in N 2.128 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 2.128 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 2.128 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.128 * [taylor]: Taking taylor expansion of -1 in N 2.129 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.129 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.129 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.129 * [taylor]: Taking taylor expansion of 1/3 in N 2.129 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.129 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.129 * [taylor]: Taking taylor expansion of N in N 2.130 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 2.130 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.130 * [taylor]: Taking taylor expansion of -1 in N 2.131 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.131 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.131 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.131 * [taylor]: Taking taylor expansion of 1/3 in N 2.131 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.131 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.131 * [taylor]: Taking taylor expansion of N in N 2.197 * * * [progress]: simplifying candidates 2.198 * [simplify]: Simplifying using # : (log (cbrt (cbrt N))) (exp (cbrt (cbrt N))) (cbrt (cbrt (* (cbrt N) (cbrt N)))) (cbrt (cbrt (cbrt N))) (cbrt (cbrt (sqrt N))) (cbrt (cbrt (sqrt N))) (cbrt (cbrt 1)) (cbrt (cbrt N)) (cbrt (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (cbrt (cbrt (cbrt N))) (cbrt (sqrt (cbrt N))) (cbrt (sqrt (cbrt N))) (cbrt 1) (cbrt (cbrt N)) (* (cbrt (cbrt (cbrt N))) (cbrt (cbrt (cbrt N)))) (cbrt (cbrt (cbrt N))) (* (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N))) (sqrt (cbrt (cbrt N))) (sqrt (cbrt (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)) (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)) (pow N 1/9) (pow (/ 1 N) -1/9) (* (pow (* -1 N) 1/9) (pow (cbrt -1) 1/3)) (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)) 2.201 * * [simplify]: iteration 0 : 71 enodes (cost 191 ) 2.203 * * [simplify]: iteration 1 : 141 enodes (cost 177 ) 2.206 * * [simplify]: iteration 2 : 357 enodes (cost 169 ) 2.213 * * [simplify]: iteration 3 : 1377 enodes (cost 169 ) 2.243 * * [simplify]: iteration 4 : 5001 enodes (cost 169 ) 2.245 * [simplify]: Simplified to: (log (cbrt (cbrt N))) (exp (cbrt (cbrt N))) (cbrt (cbrt (* (cbrt N) (cbrt N)))) (cbrt (cbrt (cbrt N))) (cbrt (cbrt (sqrt N))) (cbrt (cbrt (sqrt N))) (cbrt (cbrt 1)) (cbrt (cbrt N)) (cbrt (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (cbrt (cbrt (cbrt N))) (cbrt (sqrt (cbrt N))) (cbrt (sqrt (cbrt N))) (cbrt 1) (cbrt (cbrt N)) (* (cbrt (cbrt (cbrt N))) (cbrt (cbrt (cbrt N)))) (cbrt (cbrt (cbrt N))) (pow N 1/3) (sqrt (cbrt (cbrt N))) (sqrt (cbrt (cbrt N))) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 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)) (cbrt 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)) (cbrt 1) (pow N 1/3) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (pow N 1/9) (pow (/ 1 N) -1/9) (* (pow (* -1 N) 1/9) (pow (cbrt -1) 1/3)) (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)) 2.245 * * * [progress]: adding candidates to table 2.404 * [progress]: [Phase 3 of 3] Extracting. 2.404 * * [regime]: Finding splitpoints for: (# # # # # #) 2.405 * * * [regime-changes]: Trying 2 branch expressions: ((- (atan (+ N 1.0)) (atan N)) N) 2.405 * * * * [regimes]: Trying to branch on (- (atan (+ N 1.0)) (atan N)) from (# # # # # #) 2.430 * * * * [regimes]: Trying to branch on N from (# # # # # #) 2.447 * * * [regime]: Found split indices: #