16.849 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.032 * * * [progress]: [2/2] Setting up program. 0.035 * [progress]: [Phase 2 of 3] Improving. 0.035 * [simplify]: Simplifying using # : (- (atan (+ N 1.0)) (atan N)) 0.037 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.038 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.039 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.039 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.039 * * [progress]: iteration 1 / 4 0.039 * * * [progress]: picking best candidate 0.041 * * * * [pick]: Picked # 0.041 * * * [progress]: localizing error 0.047 * * * [progress]: generating rewritten candidates 0.047 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.050 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.051 * * * [progress]: generating series expansions 0.051 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.051 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.051 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.051 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.052 * [taylor]: Taking taylor expansion of (atan N) in N 0.052 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.052 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.052 * [taylor]: Taking taylor expansion of (atan N) in N 0.053 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 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 0.053 * [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 0.053 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.054 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.054 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.054 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.054 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.054 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.054 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.054 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.054 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.054 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.054 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.054 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.054 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.054 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.055 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.055 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.055 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.055 * * * [progress]: simplifying candidates 0.055 * [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)) 0.058 * * [simplify]: iteration 0 : 75 enodes (cost 154 ) 0.059 * * [simplify]: iteration 1 : 145 enodes (cost 145 ) 0.062 * * [simplify]: iteration 2 : 289 enodes (cost 143 ) 0.066 * * [simplify]: iteration 3 : 681 enodes (cost 142 ) 0.078 * * [simplify]: iteration 4 : 2447 enodes (cost 142 ) 0.123 * * [simplify]: iteration 5 : 5001 enodes (cost 142 ) 0.125 * [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)) 0.125 * * * [progress]: adding candidates to table 0.164 * * [progress]: iteration 2 / 4 0.164 * * * [progress]: picking best candidate 0.169 * * * * [pick]: Picked # 0.169 * * * [progress]: localizing error 0.175 * * * [progress]: generating rewritten candidates 0.175 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.176 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.182 * * * [progress]: generating series expansions 0.182 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.182 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.182 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.182 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.182 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.182 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.183 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.183 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.183 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.183 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.184 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.184 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 0.184 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.184 * [taylor]: Taking taylor expansion of N in N 0.184 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.184 * [taylor]: Taking taylor expansion of N in N 0.184 * [taylor]: Taking taylor expansion of 1.0 in N 0.184 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.184 * [taylor]: Taking taylor expansion of N in N 0.184 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.184 * [taylor]: Taking taylor expansion of N in N 0.184 * [taylor]: Taking taylor expansion of 1.0 in N 0.185 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 0.185 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.185 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.185 * [taylor]: Taking taylor expansion of N in N 0.185 * [taylor]: Taking taylor expansion of 1.0 in N 0.185 * [taylor]: Taking taylor expansion of N in N 0.185 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.185 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.185 * [taylor]: Taking taylor expansion of N in N 0.185 * [taylor]: Taking taylor expansion of 1.0 in N 0.185 * [taylor]: Taking taylor expansion of N in N 0.186 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 0.186 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.186 * [taylor]: Taking taylor expansion of -1 in N 0.186 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.186 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.186 * [taylor]: Taking taylor expansion of 1.0 in N 0.186 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.186 * [taylor]: Taking taylor expansion of N in N 0.186 * [taylor]: Taking taylor expansion of N in N 0.186 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.186 * [taylor]: Taking taylor expansion of -1 in N 0.186 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.186 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.186 * [taylor]: Taking taylor expansion of 1.0 in N 0.186 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.186 * [taylor]: Taking taylor expansion of N in N 0.186 * [taylor]: Taking taylor expansion of N in N 0.188 * * * [progress]: simplifying candidates 0.188 * [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)) 0.191 * * [simplify]: iteration 0 : 121 enodes (cost 151 ) 0.194 * * [simplify]: iteration 1 : 432 enodes (cost 127 ) 0.202 * * [simplify]: iteration 2 : 2321 enodes (cost 127 ) 0.243 * * [simplify]: iteration 3 : 5002 enodes (cost 127 ) 0.245 * [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) 0.245 * * * [progress]: adding candidates to table 0.323 * * [progress]: iteration 3 / 4 0.323 * * * [progress]: picking best candidate 0.340 * * * * [pick]: Picked # 0.340 * * * [progress]: localizing error 0.349 * * * [progress]: generating rewritten candidates 0.349 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.350 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1) 0.352 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2) 0.355 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1) 0.359 * * * [progress]: generating series expansions 0.359 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.359 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.359 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.359 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.361 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.362 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.362 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.362 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.362 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.363 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.363 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1) 0.363 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 0.363 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.363 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.363 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.363 * [taylor]: Taking taylor expansion of 1/3 in N 0.363 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.363 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.363 * [taylor]: Taking taylor expansion of N in N 0.363 * [taylor]: Taking taylor expansion of 1.0 in N 0.363 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.363 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.363 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.363 * [taylor]: Taking taylor expansion of 1/3 in N 0.363 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.363 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.363 * [taylor]: Taking taylor expansion of N in N 0.363 * [taylor]: Taking taylor expansion of 1.0 in N 0.365 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 0.365 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.365 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.365 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.365 * [taylor]: Taking taylor expansion of 1/3 in N 0.365 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.365 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.365 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.365 * [taylor]: Taking taylor expansion of N in N 0.365 * [taylor]: Taking taylor expansion of 1.0 in N 0.365 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.365 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.365 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.365 * [taylor]: Taking taylor expansion of 1/3 in N 0.365 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.365 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.365 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.365 * [taylor]: Taking taylor expansion of N in N 0.365 * [taylor]: Taking taylor expansion of 1.0 in N 0.367 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 0.367 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.367 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.367 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.367 * [taylor]: Taking taylor expansion of 1/3 in N 0.367 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.367 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.367 * [taylor]: Taking taylor expansion of 1.0 in N 0.367 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.367 * [taylor]: Taking taylor expansion of N in N 0.367 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.367 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.367 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.367 * [taylor]: Taking taylor expansion of 1/3 in N 0.367 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.367 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.367 * [taylor]: Taking taylor expansion of 1.0 in N 0.367 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.367 * [taylor]: Taking taylor expansion of N in N 0.369 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2) 0.369 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 0.369 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.369 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.369 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.369 * [taylor]: Taking taylor expansion of 1/3 in N 0.369 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.369 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.369 * [taylor]: Taking taylor expansion of N in N 0.369 * [taylor]: Taking taylor expansion of 1.0 in N 0.369 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.369 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.369 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.369 * [taylor]: Taking taylor expansion of 1/3 in N 0.369 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.369 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.369 * [taylor]: Taking taylor expansion of N in N 0.369 * [taylor]: Taking taylor expansion of 1.0 in N 0.371 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 0.371 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.371 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.371 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.371 * [taylor]: Taking taylor expansion of 1/3 in N 0.371 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.371 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.371 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.371 * [taylor]: Taking taylor expansion of N in N 0.371 * [taylor]: Taking taylor expansion of 1.0 in N 0.371 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.371 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.371 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.371 * [taylor]: Taking taylor expansion of 1/3 in N 0.371 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.371 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.371 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.371 * [taylor]: Taking taylor expansion of N in N 0.371 * [taylor]: Taking taylor expansion of 1.0 in N 0.373 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 0.373 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.373 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.373 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.373 * [taylor]: Taking taylor expansion of 1/3 in N 0.373 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.373 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.373 * [taylor]: Taking taylor expansion of 1.0 in N 0.373 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.373 * [taylor]: Taking taylor expansion of N in N 0.373 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.373 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.373 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.373 * [taylor]: Taking taylor expansion of 1/3 in N 0.373 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.373 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.373 * [taylor]: Taking taylor expansion of 1.0 in N 0.373 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.373 * [taylor]: Taking taylor expansion of N in N 0.375 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1) 0.375 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 0.375 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.375 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.375 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.375 * [taylor]: Taking taylor expansion of 1/3 in N 0.375 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.375 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.375 * [taylor]: Taking taylor expansion of N in N 0.375 * [taylor]: Taking taylor expansion of 1.0 in N 0.375 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.375 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.375 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.375 * [taylor]: Taking taylor expansion of 1/3 in N 0.375 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.375 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.375 * [taylor]: Taking taylor expansion of N in N 0.375 * [taylor]: Taking taylor expansion of 1.0 in N 0.376 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 0.376 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.376 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.376 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.376 * [taylor]: Taking taylor expansion of 1/3 in N 0.376 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.377 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.377 * [taylor]: Taking taylor expansion of N in N 0.377 * [taylor]: Taking taylor expansion of 1.0 in N 0.377 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.377 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.377 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.377 * [taylor]: Taking taylor expansion of 1/3 in N 0.377 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.377 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.377 * [taylor]: Taking taylor expansion of N in N 0.377 * [taylor]: Taking taylor expansion of 1.0 in N 0.378 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 0.378 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.378 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.378 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.378 * [taylor]: Taking taylor expansion of 1/3 in N 0.378 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.378 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.379 * [taylor]: Taking taylor expansion of 1.0 in N 0.379 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.379 * [taylor]: Taking taylor expansion of N in N 0.379 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.379 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.379 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.379 * [taylor]: Taking taylor expansion of 1/3 in N 0.379 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.379 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.379 * [taylor]: Taking taylor expansion of 1.0 in N 0.379 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.379 * [taylor]: Taking taylor expansion of N in N 0.380 * * * [progress]: simplifying candidates 0.381 * [simplify]: Simplifying using # : (log (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (exp (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (* (* (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (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 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (pow N 2)))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N)))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N))))) (pow N 2)))) (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (pow N 2)))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N)))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N))))) (pow N 2)))) (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (pow N 2)))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N)))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N))))) (pow N 2)))) 0.385 * * [simplify]: iteration 0 : 199 enodes (cost 537 ) 0.389 * * [simplify]: iteration 1 : 523 enodes (cost 493 ) 0.397 * * [simplify]: iteration 2 : 1698 enodes (cost 436 ) 0.429 * * [simplify]: iteration 3 : 5002 enodes (cost 394 ) 0.432 * [simplify]: Simplified to: (log (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (exp (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 3) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) 1 (cbrt (+ N 1.0)) 1 (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (+ N 1.0) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) 1 (cbrt (+ N 1.0)) 1 (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (+ N 1.0) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) 1 (cbrt (+ N 1.0)) 1 (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (+ N 1.0) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (+ (* (pow N 2) (- (* (pow 1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow 1.0 5)) 1/3) 1/6))) (* (+ (* 0.3333333333333333 N) 1) (pow 1.0 1/3))) (+ (* (pow N 1/3) (- 1 (/ 0.1111111111111111 (pow N 2)))) (/ (pow (exp 1/3) (+ 0 (log N))) (/ N 0.3333333333333333))) (+ (* (pow N 1/3) (- 1 (/ 0.1111111111111111 (pow N 2)))) (/ (pow (exp 1/3) (+ 0 (log N))) (/ N 0.3333333333333333))) (+ (* (pow N 2) (- (* (pow 1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow 1.0 5)) 1/3) 1/6))) (* (+ (* 0.3333333333333333 N) 1) (pow 1.0 1/3))) (+ (* (pow N 1/3) (- 1 (/ 0.1111111111111111 (pow N 2)))) (/ (pow (exp 1/3) (+ 0 (log N))) (/ N 0.3333333333333333))) (+ (* (pow N 1/3) (- 1 (/ 0.1111111111111111 (pow N 2)))) (/ (pow (exp 1/3) (+ 0 (log N))) (/ N 0.3333333333333333))) (+ (* (pow N 2) (- (* (pow 1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow 1.0 5)) 1/3) 1/6))) (* (+ (* 0.3333333333333333 N) 1) (pow 1.0 1/3))) (+ (* (pow N 1/3) (- 1 (/ 0.1111111111111111 (pow N 2)))) (/ (pow (exp 1/3) (+ 0 (log N))) (/ N 0.3333333333333333))) (+ (* (pow N 1/3) (- 1 (/ 0.1111111111111111 (pow N 2)))) (/ (pow (exp 1/3) (+ 0 (log N))) (/ N 0.3333333333333333))) 0.432 * * * [progress]: adding candidates to table 0.690 * * [progress]: iteration 4 / 4 0.690 * * * [progress]: picking best candidate 0.708 * * * * [pick]: Picked # 0.708 * * * [progress]: localizing error 0.724 * * * [progress]: generating rewritten candidates 0.724 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.725 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1 2) 0.728 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1 1 2) 0.731 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 1 1 1) 0.736 * * * [progress]: generating series expansions 0.736 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.736 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.736 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.737 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.737 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.737 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.737 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.738 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.738 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.738 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.739 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1 2) 0.739 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/9) in (N) around 0 0.739 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/9) in N 0.739 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (+ N 1.0)))) in N 0.739 * [taylor]: Taking taylor expansion of (* 1/9 (log (+ N 1.0))) in N 0.739 * [taylor]: Taking taylor expansion of 1/9 in N 0.739 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.739 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.739 * [taylor]: Taking taylor expansion of N in N 0.739 * [taylor]: Taking taylor expansion of 1.0 in N 0.739 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/9) in N 0.739 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (+ N 1.0)))) in N 0.739 * [taylor]: Taking taylor expansion of (* 1/9 (log (+ N 1.0))) in N 0.739 * [taylor]: Taking taylor expansion of 1/9 in N 0.739 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.739 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.739 * [taylor]: Taking taylor expansion of N in N 0.739 * [taylor]: Taking taylor expansion of 1.0 in N 0.741 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/9) in (N) around 0 0.741 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/9) in N 0.741 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (+ (/ 1 N) 1.0)))) in N 0.741 * [taylor]: Taking taylor expansion of (* 1/9 (log (+ (/ 1 N) 1.0))) in N 0.741 * [taylor]: Taking taylor expansion of 1/9 in N 0.741 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.741 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.741 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.741 * [taylor]: Taking taylor expansion of N in N 0.741 * [taylor]: Taking taylor expansion of 1.0 in N 0.741 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/9) in N 0.741 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (+ (/ 1 N) 1.0)))) in N 0.741 * [taylor]: Taking taylor expansion of (* 1/9 (log (+ (/ 1 N) 1.0))) in N 0.741 * [taylor]: Taking taylor expansion of 1/9 in N 0.741 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.741 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.741 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.741 * [taylor]: Taking taylor expansion of N in N 0.741 * [taylor]: Taking taylor expansion of 1.0 in N 0.743 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/9) in (N) around 0 0.743 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/9) in N 0.743 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (- 1.0 (/ 1 N))))) in N 0.743 * [taylor]: Taking taylor expansion of (* 1/9 (log (- 1.0 (/ 1 N)))) in N 0.743 * [taylor]: Taking taylor expansion of 1/9 in N 0.743 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.743 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.743 * [taylor]: Taking taylor expansion of 1.0 in N 0.743 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.743 * [taylor]: Taking taylor expansion of N in N 0.743 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/9) in N 0.743 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (- 1.0 (/ 1 N))))) in N 0.743 * [taylor]: Taking taylor expansion of (* 1/9 (log (- 1.0 (/ 1 N)))) in N 0.743 * [taylor]: Taking taylor expansion of 1/9 in N 0.743 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.743 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.743 * [taylor]: Taking taylor expansion of 1.0 in N 0.743 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.743 * [taylor]: Taking taylor expansion of N in N 0.745 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1 1 2) 0.745 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/9) in (N) around 0 0.745 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/9) in N 0.745 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (+ N 1.0)))) in N 0.745 * [taylor]: Taking taylor expansion of (* 1/9 (log (+ N 1.0))) in N 0.745 * [taylor]: Taking taylor expansion of 1/9 in N 0.745 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.745 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.745 * [taylor]: Taking taylor expansion of N in N 0.745 * [taylor]: Taking taylor expansion of 1.0 in N 0.745 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/9) in N 0.745 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (+ N 1.0)))) in N 0.745 * [taylor]: Taking taylor expansion of (* 1/9 (log (+ N 1.0))) in N 0.745 * [taylor]: Taking taylor expansion of 1/9 in N 0.746 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.746 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.746 * [taylor]: Taking taylor expansion of N in N 0.746 * [taylor]: Taking taylor expansion of 1.0 in N 0.747 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/9) in (N) around 0 0.747 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/9) in N 0.747 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (+ (/ 1 N) 1.0)))) in N 0.747 * [taylor]: Taking taylor expansion of (* 1/9 (log (+ (/ 1 N) 1.0))) in N 0.747 * [taylor]: Taking taylor expansion of 1/9 in N 0.747 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.747 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.747 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.747 * [taylor]: Taking taylor expansion of N in N 0.747 * [taylor]: Taking taylor expansion of 1.0 in N 0.748 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/9) in N 0.748 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (+ (/ 1 N) 1.0)))) in N 0.748 * [taylor]: Taking taylor expansion of (* 1/9 (log (+ (/ 1 N) 1.0))) in N 0.748 * [taylor]: Taking taylor expansion of 1/9 in N 0.748 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.748 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.748 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.748 * [taylor]: Taking taylor expansion of N in N 0.748 * [taylor]: Taking taylor expansion of 1.0 in N 0.749 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/9) in (N) around 0 0.749 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/9) in N 0.749 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (- 1.0 (/ 1 N))))) in N 0.749 * [taylor]: Taking taylor expansion of (* 1/9 (log (- 1.0 (/ 1 N)))) in N 0.749 * [taylor]: Taking taylor expansion of 1/9 in N 0.749 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.749 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.749 * [taylor]: Taking taylor expansion of 1.0 in N 0.749 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.749 * [taylor]: Taking taylor expansion of N in N 0.750 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/9) in N 0.750 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (- 1.0 (/ 1 N))))) in N 0.750 * [taylor]: Taking taylor expansion of (* 1/9 (log (- 1.0 (/ 1 N)))) in N 0.750 * [taylor]: Taking taylor expansion of 1/9 in N 0.750 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.750 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.750 * [taylor]: Taking taylor expansion of 1.0 in N 0.750 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.750 * [taylor]: Taking taylor expansion of N in N 0.751 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 1 1 1) 0.751 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/9) in (N) around 0 0.751 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/9) in N 0.751 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (+ N 1.0)))) in N 0.751 * [taylor]: Taking taylor expansion of (* 1/9 (log (+ N 1.0))) in N 0.751 * [taylor]: Taking taylor expansion of 1/9 in N 0.751 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.751 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.751 * [taylor]: Taking taylor expansion of N in N 0.751 * [taylor]: Taking taylor expansion of 1.0 in N 0.752 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/9) in N 0.752 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (+ N 1.0)))) in N 0.752 * [taylor]: Taking taylor expansion of (* 1/9 (log (+ N 1.0))) in N 0.752 * [taylor]: Taking taylor expansion of 1/9 in N 0.752 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.752 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.752 * [taylor]: Taking taylor expansion of N in N 0.752 * [taylor]: Taking taylor expansion of 1.0 in N 0.753 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/9) in (N) around 0 0.753 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/9) in N 0.753 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (+ (/ 1 N) 1.0)))) in N 0.753 * [taylor]: Taking taylor expansion of (* 1/9 (log (+ (/ 1 N) 1.0))) in N 0.753 * [taylor]: Taking taylor expansion of 1/9 in N 0.753 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.753 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.753 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.753 * [taylor]: Taking taylor expansion of N in N 0.753 * [taylor]: Taking taylor expansion of 1.0 in N 0.753 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/9) in N 0.753 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (+ (/ 1 N) 1.0)))) in N 0.753 * [taylor]: Taking taylor expansion of (* 1/9 (log (+ (/ 1 N) 1.0))) in N 0.753 * [taylor]: Taking taylor expansion of 1/9 in N 0.754 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.754 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.754 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.754 * [taylor]: Taking taylor expansion of N in N 0.754 * [taylor]: Taking taylor expansion of 1.0 in N 0.755 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/9) in (N) around 0 0.755 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/9) in N 0.755 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (- 1.0 (/ 1 N))))) in N 0.755 * [taylor]: Taking taylor expansion of (* 1/9 (log (- 1.0 (/ 1 N)))) in N 0.755 * [taylor]: Taking taylor expansion of 1/9 in N 0.755 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.755 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.755 * [taylor]: Taking taylor expansion of 1.0 in N 0.755 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.755 * [taylor]: Taking taylor expansion of N in N 0.756 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/9) in N 0.756 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (- 1.0 (/ 1 N))))) in N 0.756 * [taylor]: Taking taylor expansion of (* 1/9 (log (- 1.0 (/ 1 N)))) in N 0.756 * [taylor]: Taking taylor expansion of 1/9 in N 0.756 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.756 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.756 * [taylor]: Taking taylor expansion of 1.0 in N 0.756 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.756 * [taylor]: Taking taylor expansion of N in N 0.757 * * * [progress]: simplifying candidates 0.759 * [simplify]: Simplifying using # : (log (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0)))) N))))) (exp (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0)))) N))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0)))) N))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0)))) N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0)))) N))))) (* (* (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0)))) N)))) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0)))) N))))) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0)))) N))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0)))) N))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0)))) N))))) (log (cbrt (cbrt (+ N 1.0)))) (exp (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (cbrt (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (sqrt (+ N 1.0)))) (cbrt (cbrt (sqrt (+ N 1.0)))) (cbrt (cbrt 1)) (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt 1)) (cbrt (cbrt (+ N 1.0))) (cbrt (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0))))) (cbrt (cbrt (cbrt (+ N 1.0)))) (cbrt (sqrt (cbrt (+ N 1.0)))) (cbrt (sqrt (cbrt (+ N 1.0)))) (cbrt 1) (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ (pow N 3) (pow 1.0 3)))) (cbrt (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- N 1.0))) (* (cbrt (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (cbrt (+ N 1.0))))) (cbrt (cbrt (cbrt (+ N 1.0)))) (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0)))) (sqrt (cbrt (cbrt (+ N 1.0)))) (sqrt (cbrt (cbrt (+ N 1.0)))) (log (cbrt (cbrt (+ N 1.0)))) (exp (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (cbrt (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (sqrt (+ N 1.0)))) (cbrt (cbrt (sqrt (+ N 1.0)))) (cbrt (cbrt 1)) (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt 1)) (cbrt (cbrt (+ N 1.0))) (cbrt (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0))))) (cbrt (cbrt (cbrt (+ N 1.0)))) (cbrt (sqrt (cbrt (+ N 1.0)))) (cbrt (sqrt (cbrt (+ N 1.0)))) (cbrt 1) (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ (pow N 3) (pow 1.0 3)))) (cbrt (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- N 1.0))) (* (cbrt (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (cbrt (+ N 1.0))))) (cbrt (cbrt (cbrt (+ N 1.0)))) (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0)))) (sqrt (cbrt (cbrt (+ N 1.0)))) (sqrt (cbrt (cbrt (+ N 1.0)))) (log (cbrt (cbrt (+ N 1.0)))) (exp (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (cbrt (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (sqrt (+ N 1.0)))) (cbrt (cbrt (sqrt (+ N 1.0)))) (cbrt (cbrt 1)) (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt 1)) (cbrt (cbrt (+ N 1.0))) (cbrt (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0))))) (cbrt (cbrt (cbrt (+ N 1.0)))) (cbrt (sqrt (cbrt (+ N 1.0)))) (cbrt (sqrt (cbrt (+ N 1.0)))) (cbrt 1) (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ (pow N 3) (pow 1.0 3)))) (cbrt (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- N 1.0))) (* (cbrt (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (cbrt (+ N 1.0))))) (cbrt (cbrt (cbrt (+ N 1.0)))) (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0)))) (sqrt (cbrt (cbrt (+ N 1.0)))) (sqrt (cbrt (cbrt (+ N 1.0)))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (- (+ (* 0.1111111111111111 (* N (pow 1.0 1/9))) (+ (* 0.006172839506172839 (* (pow N 2) (pow 1.0 1/9))) (pow 1.0 1/9))) (* 1/18 (* (pow N 2) (pow (/ 1 (pow 1.0 17)) 1/9)))) (- (+ (exp (* 1/9 (- (log 1) (log (/ 1 N))))) (* 0.1111111111111111 (/ (exp (* 1/9 (- (log 1) (log (/ 1 N))))) N))) (* 0.04938271604938271 (/ (exp (* 1/9 (- (log 1) (log (/ 1 N))))) (pow N 2)))) (- (+ (exp (* 1/9 (- (log (neg 1)) (log (/ -1 N))))) (* 0.1111111111111111 (/ (exp (* 1/9 (- (log (neg 1)) (log (/ -1 N))))) N))) (* 0.04938271604938271 (/ (exp (* 1/9 (- (log (neg 1)) (log (/ -1 N))))) (pow N 2)))) (- (+ (* 0.1111111111111111 (* N (pow 1.0 1/9))) (+ (* 0.006172839506172839 (* (pow N 2) (pow 1.0 1/9))) (pow 1.0 1/9))) (* 1/18 (* (pow N 2) (pow (/ 1 (pow 1.0 17)) 1/9)))) (- (+ (exp (* 1/9 (- (log 1) (log (/ 1 N))))) (* 0.1111111111111111 (/ (exp (* 1/9 (- (log 1) (log (/ 1 N))))) N))) (* 0.04938271604938271 (/ (exp (* 1/9 (- (log 1) (log (/ 1 N))))) (pow N 2)))) (- (+ (exp (* 1/9 (- (log (neg 1)) (log (/ -1 N))))) (* 0.1111111111111111 (/ (exp (* 1/9 (- (log (neg 1)) (log (/ -1 N))))) N))) (* 0.04938271604938271 (/ (exp (* 1/9 (- (log (neg 1)) (log (/ -1 N))))) (pow N 2)))) (- (+ (* 0.1111111111111111 (* N (pow 1.0 1/9))) (+ (* 0.006172839506172839 (* (pow N 2) (pow 1.0 1/9))) (pow 1.0 1/9))) (* 1/18 (* (pow N 2) (pow (/ 1 (pow 1.0 17)) 1/9)))) (- (+ (exp (* 1/9 (- (log 1) (log (/ 1 N))))) (* 0.1111111111111111 (/ (exp (* 1/9 (- (log 1) (log (/ 1 N))))) N))) (* 0.04938271604938271 (/ (exp (* 1/9 (- (log 1) (log (/ 1 N))))) (pow N 2)))) (- (+ (exp (* 1/9 (- (log (neg 1)) (log (/ -1 N))))) (* 0.1111111111111111 (/ (exp (* 1/9 (- (log (neg 1)) (log (/ -1 N))))) N))) (* 0.04938271604938271 (/ (exp (* 1/9 (- (log (neg 1)) (log (/ -1 N))))) (pow N 2)))) 0.764 * * [simplify]: iteration 0 : 212 enodes (cost 765 ) 0.767 * * [simplify]: iteration 1 : 559 enodes (cost 697 ) 0.777 * * [simplify]: iteration 2 : 1847 enodes (cost 676 ) 0.813 * * [simplify]: iteration 3 : 5002 enodes (cost 628 ) 0.817 * [simplify]: Simplified to: (log (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0)))) N))))) (exp (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0)))) N))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0)))) N))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0)))) N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0)))) N))))) (pow (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0)))) N)))) 3) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0)))) N))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0)))) N))))) (log (cbrt (cbrt (+ N 1.0)))) (exp (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (cbrt (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (sqrt (+ N 1.0)))) (cbrt (cbrt (sqrt (+ N 1.0)))) (cbrt (cbrt 1)) (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt 1)) (cbrt (cbrt (+ N 1.0))) (cbrt (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0))))) (cbrt (cbrt (cbrt (+ N 1.0)))) (cbrt (sqrt (cbrt (+ N 1.0)))) (cbrt (sqrt (cbrt (+ N 1.0)))) (cbrt 1) (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ (pow N 3) (pow 1.0 3)))) (cbrt (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- N 1.0))) (* (cbrt (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (cbrt (+ N 1.0))))) (cbrt (cbrt (cbrt (+ N 1.0)))) (cbrt (+ N 1.0)) (sqrt (cbrt (cbrt (+ N 1.0)))) (sqrt (cbrt (cbrt (+ N 1.0)))) (log (cbrt (cbrt (+ N 1.0)))) (exp (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (cbrt (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (sqrt (+ N 1.0)))) (cbrt (cbrt (sqrt (+ N 1.0)))) (cbrt (cbrt 1)) (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt 1)) (cbrt (cbrt (+ N 1.0))) (cbrt (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0))))) (cbrt (cbrt (cbrt (+ N 1.0)))) (cbrt (sqrt (cbrt (+ N 1.0)))) (cbrt (sqrt (cbrt (+ N 1.0)))) (cbrt 1) (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ (pow N 3) (pow 1.0 3)))) (cbrt (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- N 1.0))) (* (cbrt (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (cbrt (+ N 1.0))))) (cbrt (cbrt (cbrt (+ N 1.0)))) (cbrt (+ N 1.0)) (sqrt (cbrt (cbrt (+ N 1.0)))) (sqrt (cbrt (cbrt (+ N 1.0)))) (log (cbrt (cbrt (+ N 1.0)))) (exp (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (cbrt (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (sqrt (+ N 1.0)))) (cbrt (cbrt (sqrt (+ N 1.0)))) (cbrt (cbrt 1)) (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt 1)) (cbrt (cbrt (+ N 1.0))) (cbrt (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0))))) (cbrt (cbrt (cbrt (+ N 1.0)))) (cbrt (sqrt (cbrt (+ N 1.0)))) (cbrt (sqrt (cbrt (+ N 1.0)))) (cbrt 1) (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ (pow N 3) (pow 1.0 3)))) (cbrt (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- N 1.0))) (* (cbrt (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (cbrt (+ N 1.0))))) (cbrt (cbrt (cbrt (+ N 1.0)))) (cbrt (+ N 1.0)) (sqrt (cbrt (cbrt (+ N 1.0)))) (sqrt (cbrt (cbrt (+ N 1.0)))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (+ (* (+ (* 0.1111111111111111 N) 1) (pow 1.0 1/9)) (* (pow N 2) (- (* (pow 1.0 1/9) 0.006172839506172839) (* (pow (/ 1 (pow 1.0 17)) 1/9) 1/18)))) (- (pow N 1/9) (- (* (/ (pow N 1/9) (pow N 3/2)) (/ 0.04938271604938271 (pow N 1/2))) (/ (pow (exp 1/9) (+ 0 (log N))) (/ N 0.1111111111111111)))) (- (pow N 1/9) (- (* (/ (pow N 1/9) (pow N 3/2)) (/ 0.04938271604938271 (pow N 1/2))) (/ (pow (exp 1/9) (+ 0 (log N))) (/ N 0.1111111111111111)))) (+ (* (+ (* 0.1111111111111111 N) 1) (pow 1.0 1/9)) (* (pow N 2) (- (* (pow 1.0 1/9) 0.006172839506172839) (* (pow (/ 1 (pow 1.0 17)) 1/9) 1/18)))) (- (pow N 1/9) (- (* (/ (pow N 1/9) (pow N 3/2)) (/ 0.04938271604938271 (pow N 1/2))) (/ (pow (exp 1/9) (+ 0 (log N))) (/ N 0.1111111111111111)))) (- (pow N 1/9) (- (* (/ (pow N 1/9) (pow N 3/2)) (/ 0.04938271604938271 (pow N 1/2))) (/ (pow (exp 1/9) (+ 0 (log N))) (/ N 0.1111111111111111)))) (+ (* (+ (* 0.1111111111111111 N) 1) (pow 1.0 1/9)) (* (pow N 2) (- (* (pow 1.0 1/9) 0.006172839506172839) (* (pow (/ 1 (pow 1.0 17)) 1/9) 1/18)))) (- (pow N 1/9) (- (* (/ (pow N 1/9) (pow N 3/2)) (/ 0.04938271604938271 (pow N 1/2))) (/ (pow (exp 1/9) (+ 0 (log N))) (/ N 0.1111111111111111)))) (- (pow N 1/9) (- (* (/ (pow N 1/9) (pow N 3/2)) (/ 0.04938271604938271 (pow N 1/2))) (/ (pow (exp 1/9) (+ 0 (log N))) (/ N 0.1111111111111111)))) 0.817 * * * [progress]: adding candidates to table 1.417 * [progress]: [Phase 3 of 3] Extracting. 1.417 * * [regime]: Finding splitpoints for: (# # # # # #) 1.418 * * * [regime-changes]: Trying 1 branch expressions: (N) 1.418 * * * * [regimes]: Trying to branch on N from (# # # # # #) 1.457 * * * [regime]: Found split indices: #