7.360 * [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)) 0.040 * * [progress]: iteration 1 / 4 0.040 * * * [progress]: picking best candidate 0.042 * * * * [pick]: Picked # 0.042 * * * [progress]: localizing error 0.048 * * * [progress]: generating rewritten candidates 0.048 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.051 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.053 * * * [progress]: generating series expansions 0.053 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.053 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.053 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.053 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.053 * [taylor]: Taking taylor expansion of (atan N) in N 0.053 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.053 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.053 * [taylor]: Taking taylor expansion of (atan N) in N 0.054 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.054 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.054 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.054 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.054 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.054 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.054 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.054 * [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 0.055 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.055 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.055 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.055 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.055 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.055 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.055 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.055 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.055 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.055 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.056 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.056 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.056 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.056 * * * [progress]: simplifying candidates 0.056 * [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)) 0.059 * * [simplify]: iteration 0 : 75 enodes (cost 154 ) 0.061 * * [simplify]: iteration 1 : 145 enodes (cost 145 ) 0.064 * * [simplify]: iteration 2 : 289 enodes (cost 143 ) 0.068 * * [simplify]: iteration 3 : 681 enodes (cost 142 ) 0.081 * * [simplify]: iteration 4 : 2447 enodes (cost 142 ) 0.128 * * [simplify]: iteration 5 : 5001 enodes (cost 142 ) 0.130 * [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)) 0.130 * * * [progress]: adding candidates to table 0.165 * * [progress]: iteration 2 / 4 0.165 * * * [progress]: picking best candidate 0.167 * * * * [pick]: Picked # 0.167 * * * [progress]: localizing error 0.173 * * * [progress]: generating rewritten candidates 0.173 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.174 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.180 * * * [progress]: generating series expansions 0.180 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.180 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.180 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.180 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.180 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.180 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.181 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.181 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.181 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.181 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.182 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.182 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 0.182 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.182 * [taylor]: Taking taylor expansion of N in N 0.182 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.182 * [taylor]: Taking taylor expansion of N in N 0.182 * [taylor]: Taking taylor expansion of 1.0 in N 0.182 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.182 * [taylor]: Taking taylor expansion of N in N 0.182 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.182 * [taylor]: Taking taylor expansion of N in N 0.182 * [taylor]: Taking taylor expansion of 1.0 in N 0.183 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 0.183 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.183 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.183 * [taylor]: Taking taylor expansion of N in N 0.183 * [taylor]: Taking taylor expansion of 1.0 in N 0.183 * [taylor]: Taking taylor expansion of N in N 0.183 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.183 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.183 * [taylor]: Taking taylor expansion of N in N 0.183 * [taylor]: Taking taylor expansion of 1.0 in N 0.183 * [taylor]: Taking taylor expansion of N in N 0.184 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 0.184 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.184 * [taylor]: Taking taylor expansion of -1 in N 0.184 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.184 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.184 * [taylor]: Taking taylor expansion of 1.0 in N 0.184 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.184 * [taylor]: Taking taylor expansion of N in N 0.184 * [taylor]: Taking taylor expansion of N in N 0.184 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.184 * [taylor]: Taking taylor expansion of -1 in N 0.184 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.184 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.184 * [taylor]: Taking taylor expansion of 1.0 in N 0.184 * [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 N in N 0.186 * * * [progress]: simplifying candidates 0.187 * [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)) 0.190 * * [simplify]: iteration 0 : 121 enodes (cost 151 ) 0.192 * * [simplify]: iteration 1 : 432 enodes (cost 127 ) 0.202 * * [simplify]: iteration 2 : 2321 enodes (cost 127 ) 0.238 * * [simplify]: iteration 3 : 5002 enodes (cost 127 ) 0.240 * [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) 0.240 * * * [progress]: adding candidates to table 0.282 * * [progress]: iteration 3 / 4 0.282 * * * [progress]: picking best candidate 0.296 * * * * [pick]: Picked # 0.296 * * * [progress]: localizing error 0.306 * * * [progress]: generating rewritten candidates 0.306 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.306 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2) 0.307 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 2) 0.309 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2 1) 0.310 * * * [progress]: generating series expansions 0.310 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.311 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.311 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.311 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.311 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.311 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.312 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.312 * [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 0.312 * [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 0.313 * [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 0.313 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2) 0.313 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 0.313 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.313 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.313 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.314 * [taylor]: Taking taylor expansion of 1/3 in N 0.314 * [taylor]: Taking taylor expansion of (log N) in N 0.314 * [taylor]: Taking taylor expansion of N in N 0.314 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.314 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.314 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.314 * [taylor]: Taking taylor expansion of 1/3 in N 0.314 * [taylor]: Taking taylor expansion of (log N) in N 0.314 * [taylor]: Taking taylor expansion of N in N 0.320 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 0.320 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.320 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.320 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.320 * [taylor]: Taking taylor expansion of 1/3 in N 0.320 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.320 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.320 * [taylor]: Taking taylor expansion of N in N 0.320 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.320 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.320 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.320 * [taylor]: Taking taylor expansion of 1/3 in N 0.320 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.320 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.320 * [taylor]: Taking taylor expansion of N in N 0.326 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 0.326 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.326 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.326 * [taylor]: Taking taylor expansion of -1 in N 0.326 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.326 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.326 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.326 * [taylor]: Taking taylor expansion of 1/3 in N 0.326 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.326 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.326 * [taylor]: Taking taylor expansion of N in N 0.327 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.327 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.327 * [taylor]: Taking taylor expansion of -1 in N 0.327 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.327 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.327 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.327 * [taylor]: Taking taylor expansion of 1/3 in N 0.327 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.327 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.327 * [taylor]: Taking taylor expansion of N in N 0.334 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 2) 0.334 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 0.334 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.334 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.334 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.334 * [taylor]: Taking taylor expansion of 1/3 in N 0.334 * [taylor]: Taking taylor expansion of (log N) in N 0.334 * [taylor]: Taking taylor expansion of N in N 0.334 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.334 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.334 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.335 * [taylor]: Taking taylor expansion of 1/3 in N 0.335 * [taylor]: Taking taylor expansion of (log N) in N 0.335 * [taylor]: Taking taylor expansion of N in N 0.340 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 0.340 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.340 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.340 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.340 * [taylor]: Taking taylor expansion of 1/3 in N 0.340 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.340 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.340 * [taylor]: Taking taylor expansion of N in N 0.340 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.340 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.340 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.340 * [taylor]: Taking taylor expansion of 1/3 in N 0.340 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.340 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.340 * [taylor]: Taking taylor expansion of N in N 0.346 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 0.346 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.347 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.347 * [taylor]: Taking taylor expansion of -1 in N 0.347 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.347 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.347 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.347 * [taylor]: Taking taylor expansion of 1/3 in N 0.347 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.347 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.347 * [taylor]: Taking taylor expansion of N in N 0.347 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.347 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.347 * [taylor]: Taking taylor expansion of -1 in N 0.347 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.347 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.347 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.347 * [taylor]: Taking taylor expansion of 1/3 in N 0.347 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.347 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.347 * [taylor]: Taking taylor expansion of N in N 0.356 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2 1) 0.357 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 0.357 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.357 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.357 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.357 * [taylor]: Taking taylor expansion of 1/3 in N 0.357 * [taylor]: Taking taylor expansion of (log N) in N 0.357 * [taylor]: Taking taylor expansion of N in N 0.357 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.357 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.357 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.357 * [taylor]: Taking taylor expansion of 1/3 in N 0.357 * [taylor]: Taking taylor expansion of (log N) in N 0.357 * [taylor]: Taking taylor expansion of N in N 0.363 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 0.363 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.363 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.363 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.363 * [taylor]: Taking taylor expansion of 1/3 in N 0.363 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.363 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.363 * [taylor]: Taking taylor expansion of N in N 0.363 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.363 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.363 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.363 * [taylor]: Taking taylor expansion of 1/3 in N 0.363 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.363 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.363 * [taylor]: Taking taylor expansion of N in N 0.369 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 0.369 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.369 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.369 * [taylor]: Taking taylor expansion of -1 in N 0.369 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.369 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.369 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.369 * [taylor]: Taking taylor expansion of 1/3 in N 0.369 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.369 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.369 * [taylor]: Taking taylor expansion of N in N 0.370 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.370 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.370 * [taylor]: Taking taylor expansion of -1 in N 0.370 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.370 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.370 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.370 * [taylor]: Taking taylor expansion of 1/3 in N 0.370 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.370 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.370 * [taylor]: Taking taylor expansion of N in N 0.377 * * * [progress]: simplifying candidates 0.378 * [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))) (exp (* 1/3 (+ (log 1) (log N)))) (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 N)))))) (exp (* 1/3 (+ (log 1) (log N)))) (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 N)))))) (exp (* 1/3 (+ (log 1) (log N)))) (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 N)))))) 0.381 * * [simplify]: iteration 0 : 95 enodes (cost 268 ) 0.383 * * [simplify]: iteration 1 : 172 enodes (cost 237 ) 0.386 * * [simplify]: iteration 2 : 446 enodes (cost 207 ) 0.394 * * [simplify]: iteration 3 : 1754 enodes (cost 200 ) 0.440 * * [simplify]: iteration 4 : 5001 enodes (cost 200 ) 0.442 * [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))))) (* 1/3 (log 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)) (* 1/3 (log 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)) (* 1/3 (log 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 N 1/3) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 N)))))) (pow N 1/3) (pow N 1/3) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 N)))))) (pow N 1/3) (pow N 1/3) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 N)))))) 0.443 * * * [progress]: adding candidates to table 0.507 * * [progress]: iteration 4 / 4 0.507 * * * [progress]: picking best candidate 0.519 * * * * [pick]: Picked # 0.519 * * * [progress]: localizing error 0.529 * * * [progress]: generating rewritten candidates 0.529 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 0.533 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 0.537 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 0.542 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.543 * * * [progress]: generating series expansions 0.543 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 0.543 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.543 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.543 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.543 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.543 * [taylor]: Taking taylor expansion of 1/3 in N 0.543 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.543 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.543 * [taylor]: Taking taylor expansion of N in N 0.543 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.543 * [taylor]: Taking taylor expansion of N in N 0.543 * [taylor]: Taking taylor expansion of 1.0 in N 0.543 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.543 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.544 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.544 * [taylor]: Taking taylor expansion of 1/3 in N 0.544 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.544 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.544 * [taylor]: Taking taylor expansion of N in N 0.544 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.544 * [taylor]: Taking taylor expansion of N in N 0.544 * [taylor]: Taking taylor expansion of 1.0 in N 0.545 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.545 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.545 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.545 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.545 * [taylor]: Taking taylor expansion of 1/3 in N 0.546 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.546 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.546 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.546 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.546 * [taylor]: Taking taylor expansion of N in N 0.546 * [taylor]: Taking taylor expansion of 1.0 in N 0.546 * [taylor]: Taking taylor expansion of N in N 0.546 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.546 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.546 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.546 * [taylor]: Taking taylor expansion of 1/3 in N 0.546 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.546 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.546 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.546 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.546 * [taylor]: Taking taylor expansion of N in N 0.546 * [taylor]: Taking taylor expansion of 1.0 in N 0.546 * [taylor]: Taking taylor expansion of N in N 0.548 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.548 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.548 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.548 * [taylor]: Taking taylor expansion of -1 in N 0.548 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.548 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.548 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.548 * [taylor]: Taking taylor expansion of 1/3 in N 0.548 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.548 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.548 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.548 * [taylor]: Taking taylor expansion of 1.0 in N 0.548 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.548 * [taylor]: Taking taylor expansion of N in N 0.548 * [taylor]: Taking taylor expansion of N in N 0.548 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.548 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.548 * [taylor]: Taking taylor expansion of -1 in N 0.548 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.548 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.549 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.549 * [taylor]: Taking taylor expansion of 1/3 in N 0.549 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.549 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.549 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.549 * [taylor]: Taking taylor expansion of 1.0 in N 0.549 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.549 * [taylor]: Taking taylor expansion of N in N 0.549 * [taylor]: Taking taylor expansion of N in N 0.554 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 0.554 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.554 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.554 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.554 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.554 * [taylor]: Taking taylor expansion of 1/3 in N 0.554 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.554 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.554 * [taylor]: Taking taylor expansion of N in N 0.554 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.554 * [taylor]: Taking taylor expansion of N in N 0.554 * [taylor]: Taking taylor expansion of 1.0 in N 0.554 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.554 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.554 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.554 * [taylor]: Taking taylor expansion of 1/3 in N 0.554 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.554 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.554 * [taylor]: Taking taylor expansion of N in N 0.554 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.554 * [taylor]: Taking taylor expansion of N in N 0.554 * [taylor]: Taking taylor expansion of 1.0 in N 0.556 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.556 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.556 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.556 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.556 * [taylor]: Taking taylor expansion of 1/3 in N 0.556 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.556 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.556 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.556 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.556 * [taylor]: Taking taylor expansion of N in N 0.556 * [taylor]: Taking taylor expansion of 1.0 in N 0.556 * [taylor]: Taking taylor expansion of N in N 0.557 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.557 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.557 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.557 * [taylor]: Taking taylor expansion of 1/3 in N 0.557 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.557 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.557 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.557 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.557 * [taylor]: Taking taylor expansion of N in N 0.557 * [taylor]: Taking taylor expansion of 1.0 in N 0.557 * [taylor]: Taking taylor expansion of N in N 0.558 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.558 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.558 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.559 * [taylor]: Taking taylor expansion of -1 in N 0.559 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.559 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.559 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.559 * [taylor]: Taking taylor expansion of 1/3 in N 0.559 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.559 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.559 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.559 * [taylor]: Taking taylor expansion of 1.0 in N 0.559 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.559 * [taylor]: Taking taylor expansion of N in N 0.559 * [taylor]: Taking taylor expansion of N in N 0.559 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.559 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.559 * [taylor]: Taking taylor expansion of -1 in N 0.559 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.559 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.559 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.559 * [taylor]: Taking taylor expansion of 1/3 in N 0.559 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.559 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.559 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.559 * [taylor]: Taking taylor expansion of 1.0 in N 0.559 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.559 * [taylor]: Taking taylor expansion of N in N 0.559 * [taylor]: Taking taylor expansion of N in N 0.562 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 0.562 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.562 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.563 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.563 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.563 * [taylor]: Taking taylor expansion of 1/3 in N 0.563 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.563 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.563 * [taylor]: Taking taylor expansion of N in N 0.563 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.563 * [taylor]: Taking taylor expansion of N in N 0.563 * [taylor]: Taking taylor expansion of 1.0 in N 0.563 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.563 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.563 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.563 * [taylor]: Taking taylor expansion of 1/3 in N 0.563 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.563 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.563 * [taylor]: Taking taylor expansion of N in N 0.563 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.563 * [taylor]: Taking taylor expansion of N in N 0.563 * [taylor]: Taking taylor expansion of 1.0 in N 0.565 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.565 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.565 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.565 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.565 * [taylor]: Taking taylor expansion of 1/3 in N 0.565 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.565 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.565 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.565 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.565 * [taylor]: Taking taylor expansion of N in N 0.565 * [taylor]: Taking taylor expansion of 1.0 in N 0.565 * [taylor]: Taking taylor expansion of N in N 0.565 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.565 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.565 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.565 * [taylor]: Taking taylor expansion of 1/3 in N 0.565 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.565 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.565 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.565 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.565 * [taylor]: Taking taylor expansion of N in N 0.565 * [taylor]: Taking taylor expansion of 1.0 in N 0.565 * [taylor]: Taking taylor expansion of N in N 0.567 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.567 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.567 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.567 * [taylor]: Taking taylor expansion of -1 in N 0.567 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.567 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.567 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.567 * [taylor]: Taking taylor expansion of 1/3 in N 0.567 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.567 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.567 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.567 * [taylor]: Taking taylor expansion of 1.0 in N 0.567 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.567 * [taylor]: Taking taylor expansion of N in N 0.567 * [taylor]: Taking taylor expansion of N in N 0.568 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.568 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.568 * [taylor]: Taking taylor expansion of -1 in N 0.568 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.568 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.568 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.568 * [taylor]: Taking taylor expansion of 1/3 in N 0.568 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.568 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.568 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.568 * [taylor]: Taking taylor expansion of 1.0 in N 0.568 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.568 * [taylor]: Taking taylor expansion of N in N 0.568 * [taylor]: Taking taylor expansion of N in N 0.571 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.571 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.571 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.571 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.572 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.572 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.572 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.573 * [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 0.573 * [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 0.573 * [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 0.574 * * * [progress]: simplifying candidates 0.575 * [simplify]: Simplifying using # : (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (exp (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (* (* (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))) (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (pow N 2)))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (pow N 2)))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (pow N 2)))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.579 * * [simplify]: iteration 0 : 207 enodes (cost 623 ) 0.583 * * [simplify]: iteration 1 : 572 enodes (cost 575 ) 0.591 * * [simplify]: iteration 2 : 1929 enodes (cost 533 ) 0.626 * * [simplify]: iteration 3 : 5001 enodes (cost 525 ) 0.629 * [simplify]: Simplified to: (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (pow N 1/3) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (+ N 1.0) N) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (pow N 1/3) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (+ N 1.0) N) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (pow N 1/3) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (+ N 1.0) N) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (exp (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (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) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (+ (+ (/ -1/6 (* (/ 1.0 (pow N 2)) (/ 1.0 (* (pow N 1/3) (pow 1.0 1/3))))) (* (pow N 1/3) (pow 1.0 1/3))) (* (* (pow N 1/3) (pow 1.0 1/3)) (+ (* N 0.3333333333333333) (* (pow N 2) 0.05555555555555555)))) (- (+ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (pow N 2)))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (+ (+ (/ -1/6 (* (/ 1.0 (pow N 2)) (/ 1.0 (* (pow N 1/3) (pow 1.0 1/3))))) (* (pow N 1/3) (pow 1.0 1/3))) (* (* (pow N 1/3) (pow 1.0 1/3)) (+ (* N 0.3333333333333333) (* (pow N 2) 0.05555555555555555)))) (- (+ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (pow N 2)))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (+ (+ (/ -1/6 (* (/ 1.0 (pow N 2)) (/ 1.0 (* (pow N 1/3) (pow 1.0 1/3))))) (* (pow N 1/3) (pow 1.0 1/3))) (* (* (pow N 1/3) (pow 1.0 1/3)) (+ (* N 0.3333333333333333) (* (pow N 2) 0.05555555555555555)))) (- (+ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (pow N 2)))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.630 * * * [progress]: adding candidates to table 0.781 * [progress]: [Phase 3 of 3] Extracting. 0.781 * * [regime]: Finding splitpoints for: (# # # # # # #) 0.782 * * * [regime-changes]: Trying 1 branch expressions: (N) 0.782 * * * * [regimes]: Trying to branch on N from (# # # # # # #) 0.823 * * * [regime]: Found split indices: #