11.648 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.029 * * * [progress]: [2/2] Setting up program. 0.031 * [progress]: [Phase 2 of 3] Improving. 0.032 * [simplify]: Simplifying using # : (- (atan (+ N 1.0)) (atan N)) 0.034 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.035 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.036 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.036 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.037 * * [progress]: iteration 1 / 4 0.037 * * * [progress]: picking best candidate 0.038 * * * * [pick]: Picked # 0.038 * * * [progress]: localizing error 0.044 * * * [progress]: generating rewritten candidates 0.044 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.047 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.049 * * * [progress]: generating series expansions 0.049 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.049 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.049 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.049 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.049 * [taylor]: Taking taylor expansion of (atan N) in N 0.049 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.049 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.049 * [taylor]: Taking taylor expansion of (atan N) in N 0.052 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.052 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.052 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.053 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.053 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.053 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.053 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.056 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.056 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.056 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.056 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.056 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.056 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.056 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.059 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.059 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.059 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.059 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.060 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.060 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.060 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.060 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.060 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.060 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.060 * * * [progress]: simplifying candidates 0.061 * [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)) 0.064 * * [simplify]: iteration 0 : 75 enodes (cost 154 ) 0.066 * * [simplify]: iteration 1 : 145 enodes (cost 145 ) 0.068 * * [simplify]: iteration 2 : 289 enodes (cost 143 ) 0.073 * * [simplify]: iteration 3 : 681 enodes (cost 142 ) 0.086 * * [simplify]: iteration 4 : 2491 enodes (cost 142 ) 0.133 * * [simplify]: iteration 5 : 5001 enodes (cost 142 ) 0.134 * [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)) 0.134 * * * [progress]: adding candidates to table 0.174 * * [progress]: iteration 2 / 4 0.174 * * * [progress]: picking best candidate 0.178 * * * * [pick]: Picked # 0.178 * * * [progress]: localizing error 0.184 * * * [progress]: generating rewritten candidates 0.184 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.184 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.191 * * * [progress]: generating series expansions 0.191 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.191 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.191 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.191 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.192 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.192 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.192 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.193 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.193 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.193 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.193 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.194 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 0.194 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.194 * [taylor]: Taking taylor expansion of N in N 0.194 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.194 * [taylor]: Taking taylor expansion of N in N 0.194 * [taylor]: Taking taylor expansion of 1.0 in N 0.194 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.194 * [taylor]: Taking taylor expansion of N in N 0.194 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.194 * [taylor]: Taking taylor expansion of N in N 0.194 * [taylor]: Taking taylor expansion of 1.0 in N 0.203 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 0.203 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.203 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.203 * [taylor]: Taking taylor expansion of N in N 0.203 * [taylor]: Taking taylor expansion of 1.0 in N 0.203 * [taylor]: Taking taylor expansion of N in N 0.204 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.204 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.204 * [taylor]: Taking taylor expansion of N in N 0.204 * [taylor]: Taking taylor expansion of 1.0 in N 0.204 * [taylor]: Taking taylor expansion of N in N 0.214 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 0.214 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.214 * [taylor]: Taking taylor expansion of -1 in N 0.214 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.214 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.214 * [taylor]: Taking taylor expansion of 1.0 in N 0.214 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.214 * [taylor]: Taking taylor expansion of N in N 0.215 * [taylor]: Taking taylor expansion of N in N 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 0.216 * [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 0.237 * * * [progress]: simplifying candidates 0.238 * [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)) 0.241 * * [simplify]: iteration 0 : 121 enodes (cost 151 ) 0.243 * * [simplify]: iteration 1 : 432 enodes (cost 127 ) 0.253 * * [simplify]: iteration 2 : 2321 enodes (cost 127 ) 0.288 * * [simplify]: iteration 3 : 5002 enodes (cost 127 ) 0.289 * [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 0.329 * * [progress]: iteration 3 / 4 0.329 * * * [progress]: picking best candidate 0.338 * * * * [pick]: Picked # 0.338 * * * [progress]: localizing error 0.350 * * * [progress]: generating rewritten candidates 0.350 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.351 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2) 0.352 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 2) 0.353 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2 1) 0.355 * * * [progress]: generating series expansions 0.355 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.355 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.355 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.356 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.356 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.356 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.356 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.358 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in (N) around 0 0.358 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in N 0.359 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in N 0.361 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2) 0.361 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 0.361 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.361 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.361 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.361 * [taylor]: Taking taylor expansion of 1/3 in N 0.361 * [taylor]: Taking taylor expansion of (log N) in N 0.361 * [taylor]: Taking taylor expansion of N in N 0.362 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.362 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.362 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.362 * [taylor]: Taking taylor expansion of 1/3 in N 0.362 * [taylor]: Taking taylor expansion of (log N) in N 0.362 * [taylor]: Taking taylor expansion of N in N 0.409 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 0.409 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.409 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.409 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.409 * [taylor]: Taking taylor expansion of 1/3 in N 0.409 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.409 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.409 * [taylor]: Taking taylor expansion of N in N 0.410 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.410 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.410 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.410 * [taylor]: Taking taylor expansion of 1/3 in N 0.410 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.410 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.410 * [taylor]: Taking taylor expansion of N in N 0.462 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 0.462 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.462 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.462 * [taylor]: Taking taylor expansion of -1 in N 0.463 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.463 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.463 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.463 * [taylor]: Taking taylor expansion of 1/3 in N 0.463 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.463 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.463 * [taylor]: Taking taylor expansion of N in N 0.464 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.464 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.464 * [taylor]: Taking taylor expansion of -1 in N 0.465 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.465 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.465 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.465 * [taylor]: Taking taylor expansion of 1/3 in N 0.465 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.465 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.465 * [taylor]: Taking taylor expansion of N in N 0.534 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 2) 0.534 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 0.534 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.534 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.534 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.534 * [taylor]: Taking taylor expansion of 1/3 in N 0.534 * [taylor]: Taking taylor expansion of (log N) in N 0.534 * [taylor]: Taking taylor expansion of N in N 0.535 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.535 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.535 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.535 * [taylor]: Taking taylor expansion of 1/3 in N 0.535 * [taylor]: Taking taylor expansion of (log N) in N 0.535 * [taylor]: Taking taylor expansion of N in N 0.610 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 0.610 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.610 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.610 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.610 * [taylor]: Taking taylor expansion of 1/3 in N 0.610 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.610 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.610 * [taylor]: Taking taylor expansion of N in N 0.611 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.611 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.611 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.611 * [taylor]: Taking taylor expansion of 1/3 in N 0.611 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.611 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.611 * [taylor]: Taking taylor expansion of N in N 0.661 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 0.661 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.661 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.661 * [taylor]: Taking taylor expansion of -1 in N 0.667 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.667 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.667 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.667 * [taylor]: Taking taylor expansion of 1/3 in N 0.667 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.667 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.667 * [taylor]: Taking taylor expansion of N in N 0.668 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.668 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.668 * [taylor]: Taking taylor expansion of -1 in N 0.668 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.668 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.668 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.668 * [taylor]: Taking taylor expansion of 1/3 in N 0.668 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.668 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.668 * [taylor]: Taking taylor expansion of N in N 0.728 * * * * [progress]: [ 4 / 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 0.781 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 0.781 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.781 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.781 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.781 * [taylor]: Taking taylor expansion of 1/3 in N 0.781 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.781 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.781 * [taylor]: Taking taylor expansion of N in N 0.782 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.782 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.782 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.782 * [taylor]: Taking taylor expansion of 1/3 in N 0.782 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.782 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.782 * [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 0.850 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.850 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.850 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.850 * [taylor]: Taking taylor expansion of 1/3 in N 0.850 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.850 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.850 * [taylor]: Taking taylor expansion of N in N 0.851 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.851 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.851 * [taylor]: Taking taylor expansion of -1 in N 0.852 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.852 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.852 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.852 * [taylor]: Taking taylor expansion of 1/3 in N 0.852 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.852 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.852 * [taylor]: Taking taylor expansion of N in N 0.917 * * * [progress]: simplifying candidates 0.918 * [simplify]: Simplifying using # : (log (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))) (exp (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))) (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))) (* (* (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N)))) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))) (sqrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))) (sqrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (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)) (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 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)) 0.921 * * [simplify]: iteration 0 : 75 enodes (cost 232 ) 0.923 * * [simplify]: iteration 1 : 164 enodes (cost 204 ) 0.926 * * [simplify]: iteration 2 : 533 enodes (cost 198 ) 0.938 * * [simplify]: iteration 3 : 2411 enodes (cost 194 ) 0.999 * * [simplify]: iteration 4 : 5001 enodes (cost 191 ) 1.000 * [simplify]: Simplified to: (log (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))) (exp (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))) (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 3) (sqrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))) (sqrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (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)) (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)) (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 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)) 1.001 * * * [progress]: adding candidates to table 1.100 * * [progress]: iteration 4 / 4 1.100 * * * [progress]: picking best candidate 1.115 * * * * [pick]: Picked # 1.115 * * * [progress]: localizing error 1.128 * * * [progress]: generating rewritten candidates 1.128 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.129 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 2 1) 1.130 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1 1 2) 1.132 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 1 1 1) 1.133 * * * [progress]: generating series expansions 1.133 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.134 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 1.134 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 1.134 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 1.135 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 1.135 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 1.135 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 1.136 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in (N) around 0 1.136 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in N 1.138 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in N 1.140 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 2 1) 1.140 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 1.140 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.140 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.140 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.140 * [taylor]: Taking taylor expansion of 1/3 in N 1.140 * [taylor]: Taking taylor expansion of (log N) in N 1.140 * [taylor]: Taking taylor expansion of N in N 1.141 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.141 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.141 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.141 * [taylor]: Taking taylor expansion of 1/3 in N 1.141 * [taylor]: Taking taylor expansion of (log N) in N 1.141 * [taylor]: Taking taylor expansion of N in N 1.191 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 1.191 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.191 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.191 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.191 * [taylor]: Taking taylor expansion of 1/3 in N 1.191 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.191 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.191 * [taylor]: Taking taylor expansion of N in N 1.192 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.192 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.192 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.192 * [taylor]: Taking taylor expansion of 1/3 in N 1.192 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.192 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.192 * [taylor]: Taking taylor expansion of N in N 1.241 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 1.241 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.241 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.241 * [taylor]: Taking taylor expansion of -1 in N 1.242 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.242 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.242 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.242 * [taylor]: Taking taylor expansion of 1/3 in N 1.242 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.242 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.242 * [taylor]: Taking taylor expansion of N in N 1.243 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.243 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.243 * [taylor]: Taking taylor expansion of -1 in N 1.244 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.244 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.244 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.244 * [taylor]: Taking taylor expansion of 1/3 in N 1.244 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.244 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.244 * [taylor]: Taking taylor expansion of N in N 1.308 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1 1 2) 1.309 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 1.309 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.309 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.309 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.309 * [taylor]: Taking taylor expansion of 1/3 in N 1.309 * [taylor]: Taking taylor expansion of (log N) in N 1.309 * [taylor]: Taking taylor expansion of N in N 1.309 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.309 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.309 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.309 * [taylor]: Taking taylor expansion of 1/3 in N 1.309 * [taylor]: Taking taylor expansion of (log N) in N 1.309 * [taylor]: Taking taylor expansion of N in N 1.363 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 1.363 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.363 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.363 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.363 * [taylor]: Taking taylor expansion of 1/3 in N 1.363 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.363 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.363 * [taylor]: Taking taylor expansion of N in N 1.365 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.365 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.365 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.365 * [taylor]: Taking taylor expansion of 1/3 in N 1.365 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.365 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.365 * [taylor]: Taking taylor expansion of N in N 1.450 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 1.450 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.450 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.450 * [taylor]: Taking taylor expansion of -1 in N 1.451 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.451 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.451 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.451 * [taylor]: Taking taylor expansion of 1/3 in N 1.451 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.451 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.451 * [taylor]: Taking taylor expansion of N in N 1.452 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.452 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.452 * [taylor]: Taking taylor expansion of -1 in N 1.452 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.452 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.452 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.452 * [taylor]: Taking taylor expansion of 1/3 in N 1.452 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.452 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.452 * [taylor]: Taking taylor expansion of N in N 1.521 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 1 1 1) 1.522 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 1.522 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.522 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.522 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.522 * [taylor]: Taking taylor expansion of 1/3 in N 1.522 * [taylor]: Taking taylor expansion of (log N) in N 1.522 * [taylor]: Taking taylor expansion of N in N 1.523 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.523 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.523 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.523 * [taylor]: Taking taylor expansion of 1/3 in N 1.523 * [taylor]: Taking taylor expansion of (log N) in N 1.523 * [taylor]: Taking taylor expansion of N in N 1.580 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 1.580 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.580 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.580 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.580 * [taylor]: Taking taylor expansion of 1/3 in N 1.580 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.580 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.580 * [taylor]: Taking taylor expansion of N in N 1.581 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.581 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.581 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.581 * [taylor]: Taking taylor expansion of 1/3 in N 1.581 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.581 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.581 * [taylor]: Taking taylor expansion of N in N 1.638 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 1.638 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.638 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.639 * [taylor]: Taking taylor expansion of -1 in N 1.639 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.639 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.639 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.639 * [taylor]: Taking taylor expansion of 1/3 in N 1.639 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.639 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.639 * [taylor]: Taking taylor expansion of N in N 1.640 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.640 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.640 * [taylor]: Taking taylor expansion of -1 in N 1.641 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.641 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.641 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.641 * [taylor]: Taking taylor expansion of 1/3 in N 1.641 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.641 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.641 * [taylor]: Taking taylor expansion of N in N 1.710 * * * [progress]: simplifying candidates 1.710 * [simplify]: Simplifying using # : (log (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N))))))) (exp (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N))))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N))))))) (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)))))))) (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N))))))) (* (* (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)))))) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N))))))) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N))))))) (sqrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N))))))) (sqrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (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)) (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 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)) 1.714 * * [simplify]: iteration 0 : 80 enodes (cost 292 ) 1.716 * * [simplify]: iteration 1 : 184 enodes (cost 252 ) 1.721 * * [simplify]: iteration 2 : 664 enodes (cost 246 ) 1.737 * * [simplify]: iteration 3 : 3409 enodes (cost 246 ) 1.829 * * [simplify]: iteration 4 : 5001 enodes (cost 243 ) 1.831 * [simplify]: Simplified to: (log (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N))))))) (exp (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N))))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N))))))) (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)))))))) (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N))))))) (pow (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)))))) 3) (sqrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N))))))) (sqrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (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)) (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)) (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 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)) 1.831 * * * [progress]: adding candidates to table 1.959 * [progress]: [Phase 3 of 3] Extracting. 1.960 * * [regime]: Finding splitpoints for: (# # # # # # #) 1.961 * * * [regime-changes]: Trying 1 branch expressions: (N) 1.961 * * * * [regimes]: Trying to branch on N from (# # # # # # #) 1.986 * * * [regime]: Found split indices: #