6.142 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.026 * * * [progress]: [2/2] Setting up program. 0.027 * [progress]: [Phase 2 of 3] Improving. 0.028 * [simplify]: Simplifying using # : (- (atan (+ N 1.0)) (atan N)) 0.028 * [simplify]: Sending expressions to egg_math: (- (atan (+ h0 h1)) (atan h0)) 0.030 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.031 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.032 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.032 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.032 * * [progress]: iteration 1 / 4 0.033 * * * [progress]: picking best candidate 0.034 * * * * [pick]: Picked # 0.034 * * * [progress]: localizing error 0.040 * * * [progress]: generating rewritten candidates 0.040 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.045 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.047 * * * [progress]: generating series expansions 0.047 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.047 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.047 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.047 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.047 * [taylor]: Taking taylor expansion of (atan N) in N 0.047 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.047 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.047 * [taylor]: Taking taylor expansion of (atan N) in N 0.050 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.050 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.050 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.050 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.050 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.050 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.050 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.053 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.053 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.053 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.053 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.053 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.053 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.053 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.056 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.056 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.056 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.056 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.057 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.057 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.057 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.057 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.057 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.057 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.057 * * * [progress]: simplifying candidates 0.058 * [simplify]: Simplifying using # : (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)) (/ (exp (atan (+ N 1.0))) (exp (atan N))) (log (- (atan (+ N 1.0)) (atan N))) (exp (- (atan (+ N 1.0)) (atan N))) (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N)))) (cbrt (- (atan (+ N 1.0)) (atan N))) (* (* (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N))) (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1.0)) (atan (+ N 1.0))) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (atan N)))) (- (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (atan (+ N 1.0)) (atan N)) (- (atan N)) (log (atan (+ N 1.0))) (exp (atan (+ N 1.0))) (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (* (* (atan (+ N 1.0)) (atan (+ N 1.0))) (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (atan (+ N 1.0)) (atan (+ N 1.0)) (atan (+ N 1.0)) 0.058 * [simplify]: Sending expressions to egg_math: (- (+ h0 h1) h0) (+ 1 (* (+ h0 h1) h0)) (/ (exp (atan (+ h0 h1))) (exp (atan h0))) (log (- (atan (+ h0 h1)) (atan h0))) (exp (- (atan (+ h0 h1)) (atan h0))) (* (cbrt (- (atan (+ h0 h1)) (atan h0))) (cbrt (- (atan (+ h0 h1)) (atan h0)))) (cbrt (- (atan (+ h0 h1)) (atan h0))) (* (* (- (atan (+ h0 h1)) (atan h0)) (- (atan (+ h0 h1)) (atan h0))) (- (atan (+ h0 h1)) (atan h0))) (sqrt (- (atan (+ h0 h1)) (atan h0))) (sqrt (- (atan (+ h0 h1)) (atan h0))) (- (pow (atan (+ h0 h1)) 3) (pow (atan h0) 3)) (+ (* (atan (+ h0 h1)) (atan (+ h0 h1))) (+ (* (atan h0) (atan h0)) (* (atan (+ h0 h1)) (atan h0)))) (- (atan h0)) (- (* (atan (+ h0 h1)) (atan (+ h0 h1))) (* (atan h0) (atan h0))) (+ (atan (+ h0 h1)) (atan h0)) (+ (sqrt (atan (+ h0 h1))) (sqrt (atan h0))) (- (sqrt (atan (+ h0 h1))) (sqrt (atan h0))) (- (atan (+ h0 h1)) (atan h0)) (- (atan h0)) (log (atan (+ h0 h1))) (exp (atan (+ h0 h1))) (* (cbrt (atan (+ h0 h1))) (cbrt (atan (+ h0 h1)))) (cbrt (atan (+ h0 h1))) (* (* (atan (+ h0 h1)) (atan (+ h0 h1))) (atan (+ h0 h1))) (sqrt (atan (+ h0 h1))) (sqrt (atan (+ h0 h1))) (- (atan (+ h0 h1)) (atan h0)) (- (atan (+ h0 h1)) (atan h0)) (- (atan (+ h0 h1)) (atan h0)) (atan (+ h0 h1)) (atan (+ h0 h1)) (atan (+ h0 h1)) 0.061 * * [simplify]: iteration 0 : 75 enodes (cost 154 ) 0.062 * * [simplify]: iteration 1 : 145 enodes (cost 145 ) 0.065 * * [simplify]: iteration 2 : 289 enodes (cost 143 ) 0.069 * * [simplify]: iteration 3 : 681 enodes (cost 142 ) 0.082 * * [simplify]: iteration 4 : 2491 enodes (cost 142 ) 0.130 * * [simplify]: iteration 5 : 5001 enodes (cost 142 ) 0.131 * [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)) 0.131 * * * [progress]: adding candidates to table 0.182 * * [progress]: iteration 2 / 4 0.182 * * * [progress]: picking best candidate 0.183 * * * * [pick]: Picked # 0.183 * * * [progress]: localizing error 0.189 * * * [progress]: generating rewritten candidates 0.189 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.189 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.212 * * * [progress]: generating series expansions 0.212 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.212 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.212 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.213 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.213 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.213 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.213 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.214 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.214 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.214 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.215 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.215 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 0.215 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.215 * [taylor]: Taking taylor expansion of N in N 0.215 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.215 * [taylor]: Taking taylor expansion of N in N 0.215 * [taylor]: Taking taylor expansion of 1.0 in N 0.215 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.215 * [taylor]: Taking taylor expansion of N in N 0.215 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.215 * [taylor]: Taking taylor expansion of N in N 0.215 * [taylor]: Taking taylor expansion of 1.0 in N 0.224 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 0.224 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.224 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.224 * [taylor]: Taking taylor expansion of N in N 0.224 * [taylor]: Taking taylor expansion of 1.0 in N 0.224 * [taylor]: Taking taylor expansion of N in N 0.225 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.225 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.225 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.225 * [taylor]: Taking taylor expansion of N in N 0.225 * [taylor]: Taking taylor expansion of 1.0 in N 0.225 * [taylor]: Taking taylor expansion of N in N 0.235 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 0.235 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.235 * [taylor]: Taking taylor expansion of -1 in N 0.235 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.235 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.235 * [taylor]: Taking taylor expansion of 1.0 in N 0.235 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.235 * [taylor]: Taking taylor expansion of N in N 0.235 * [taylor]: Taking taylor expansion of N in N 0.236 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.236 * [taylor]: Taking taylor expansion of -1 in N 0.236 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.236 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.236 * [taylor]: Taking taylor expansion of 1.0 in N 0.236 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.236 * [taylor]: Taking taylor expansion of N in N 0.236 * [taylor]: Taking taylor expansion of N in N 0.254 * * * [progress]: simplifying candidates 0.254 * [simplify]: Simplifying using # : (log (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (+ N 1.0) N) (+ (log (+ N 1.0)) (log N)) (log (* (+ N 1.0) N)) (exp (* (+ N 1.0) N)) (* (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)) (* (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (+ N 1.0) (sqrt N)) (* (+ N 1.0) 1) (* (cbrt (+ N 1.0)) N) (* (sqrt (+ N 1.0)) N) (* (+ N 1.0) N) (* (+ N 1.0) N) (* (+ (pow N 3) (pow 1.0 3)) N) (* (- (* N N) (* 1.0 1.0)) N) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) 0.254 * [simplify]: Sending expressions to egg_math: (log (atan2 h0 (+ 1 (* (+ h1 h0) h1)))) (exp (atan2 h0 (+ 1 (* (+ h1 h0) h1)))) (* (cbrt (atan2 h0 (+ 1 (* (+ h1 h0) h1)))) (cbrt (atan2 h0 (+ 1 (* (+ h1 h0) h1))))) (cbrt (atan2 h0 (+ 1 (* (+ h1 h0) h1)))) (* (* (atan2 h0 (+ 1 (* (+ h1 h0) h1))) (atan2 h0 (+ 1 (* (+ h1 h0) h1)))) (atan2 h0 (+ 1 (* (+ h1 h0) h1)))) (sqrt (atan2 h0 (+ 1 (* (+ h1 h0) h1)))) (sqrt (atan2 h0 (+ 1 (* (+ h1 h0) h1)))) (* (+ h1 h0) h1) (+ (log (+ h1 h0)) (log h1)) (log (* (+ h1 h0) h1)) (exp (* (+ h1 h0) h1)) (* (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0)) (* (* h1 h1) h1)) (* (cbrt (* (+ h1 h0) h1)) (cbrt (* (+ h1 h0) h1))) (cbrt (* (+ h1 h0) h1)) (* (* (* (+ h1 h0) h1) (* (+ h1 h0) h1)) (* (+ h1 h0) h1)) (sqrt (* (+ h1 h0) h1)) (sqrt (* (+ h1 h0) h1)) (* (sqrt (+ h1 h0)) (sqrt h1)) (* (sqrt (+ h1 h0)) (sqrt h1)) (* (+ h1 h0) (* (cbrt h1) (cbrt h1))) (* (+ h1 h0) (sqrt h1)) (* (+ h1 h0) 1) (* (cbrt (+ h1 h0)) h1) (* (sqrt (+ h1 h0)) h1) (* (+ h1 h0) h1) (* (+ h1 h0) h1) (* (+ (pow h1 3) (pow h0 3)) h1) (* (- (* h1 h1) (* h0 h0)) h1) (atan2 h0 (+ (pow h1 2) (+ (* h0 h1) 1))) (atan2 h0 (+ (pow h1 2) (+ (* h0 h1) 1))) (atan2 h0 (+ (pow h1 2) (+ (* h0 h1) 1))) (+ (pow h1 2) (* h0 h1)) (+ (pow h1 2) (* h0 h1)) (+ (pow h1 2) (* h0 h1)) 0.258 * * [simplify]: iteration 0 : 121 enodes (cost 151 ) 0.261 * * [simplify]: iteration 1 : 432 enodes (cost 127 ) 0.271 * * [simplify]: iteration 2 : 2321 enodes (cost 127 ) 0.309 * * [simplify]: iteration 3 : 5002 enodes (cost 127 ) 0.310 * [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) 0.310 * * * [progress]: adding candidates to table 0.370 * * [progress]: iteration 3 / 4 0.370 * * * [progress]: picking best candidate 0.380 * * * * [pick]: Picked # 0.380 * * * [progress]: localizing error 0.393 * * * [progress]: generating rewritten candidates 0.393 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 0.400 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 0.407 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 0.415 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 0.438 * * * [progress]: generating series expansions 0.438 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 0.438 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.438 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.438 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.438 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.438 * [taylor]: Taking taylor expansion of 1/3 in N 0.438 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.438 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.438 * [taylor]: Taking taylor expansion of N in N 0.438 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.438 * [taylor]: Taking taylor expansion of N in N 0.438 * [taylor]: Taking taylor expansion of 1.0 in N 0.442 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.442 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.442 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.442 * [taylor]: Taking taylor expansion of 1/3 in N 0.442 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.442 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.442 * [taylor]: Taking taylor expansion of N in N 0.442 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.442 * [taylor]: Taking taylor expansion of N in N 0.442 * [taylor]: Taking taylor expansion of 1.0 in N 0.474 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.474 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.474 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.474 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.474 * [taylor]: Taking taylor expansion of 1/3 in N 0.474 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.474 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.474 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.474 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.475 * [taylor]: Taking taylor expansion of N in N 0.475 * [taylor]: Taking taylor expansion of 1.0 in N 0.475 * [taylor]: Taking taylor expansion of N in N 0.476 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.476 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.476 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.476 * [taylor]: Taking taylor expansion of 1/3 in N 0.476 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.476 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.476 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.476 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.476 * [taylor]: Taking taylor expansion of N in N 0.476 * [taylor]: Taking taylor expansion of 1.0 in N 0.476 * [taylor]: Taking taylor expansion of N in N 0.496 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.496 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.496 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.496 * [taylor]: Taking taylor expansion of -1 in N 0.497 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.497 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.497 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.497 * [taylor]: Taking taylor expansion of 1/3 in N 0.497 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.497 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.497 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.497 * [taylor]: Taking taylor expansion of 1.0 in N 0.497 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.497 * [taylor]: Taking taylor expansion of N in N 0.497 * [taylor]: Taking taylor expansion of N in N 0.499 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.499 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.499 * [taylor]: Taking taylor expansion of -1 in N 0.500 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.500 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.500 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.500 * [taylor]: Taking taylor expansion of 1/3 in N 0.500 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.500 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.500 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.500 * [taylor]: Taking taylor expansion of 1.0 in N 0.500 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.500 * [taylor]: Taking taylor expansion of N in N 0.501 * [taylor]: Taking taylor expansion of N in N 0.531 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 0.531 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.531 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.531 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.531 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.531 * [taylor]: Taking taylor expansion of 1/3 in N 0.531 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.531 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.531 * [taylor]: Taking taylor expansion of N in N 0.531 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.531 * [taylor]: Taking taylor expansion of N in N 0.531 * [taylor]: Taking taylor expansion of 1.0 in N 0.534 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.534 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.534 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.534 * [taylor]: Taking taylor expansion of 1/3 in N 0.534 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.534 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.534 * [taylor]: Taking taylor expansion of N in N 0.534 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.534 * [taylor]: Taking taylor expansion of N in N 0.534 * [taylor]: Taking taylor expansion of 1.0 in N 0.568 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.568 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.568 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.568 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.568 * [taylor]: Taking taylor expansion of 1/3 in N 0.568 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.568 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.568 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 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 0.569 * [taylor]: Taking taylor expansion of 1.0 in N 0.569 * [taylor]: Taking taylor expansion of N in N 0.570 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.570 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.570 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.570 * [taylor]: Taking taylor expansion of 1/3 in N 0.570 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.570 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.570 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.570 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.570 * [taylor]: Taking taylor expansion of N in N 0.570 * [taylor]: Taking taylor expansion of 1.0 in N 0.570 * [taylor]: Taking taylor expansion of N in N 0.590 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.590 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.590 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.590 * [taylor]: Taking taylor expansion of -1 in N 0.590 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.590 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.590 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.591 * [taylor]: Taking taylor expansion of 1/3 in N 0.591 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.591 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.591 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.591 * [taylor]: Taking taylor expansion of 1.0 in N 0.591 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.591 * [taylor]: Taking taylor expansion of N in N 0.591 * [taylor]: Taking taylor expansion of N in N 0.593 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.593 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.593 * [taylor]: Taking taylor expansion of -1 in N 0.593 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.593 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.593 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.593 * [taylor]: Taking taylor expansion of 1/3 in N 0.593 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.593 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.593 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.594 * [taylor]: Taking taylor expansion of 1.0 in N 0.594 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.594 * [taylor]: Taking taylor expansion of N in N 0.594 * [taylor]: Taking taylor expansion of N in N 0.624 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 0.624 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.624 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.624 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.624 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.624 * [taylor]: Taking taylor expansion of 1/3 in N 0.624 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.624 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.624 * [taylor]: Taking taylor expansion of N in N 0.624 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.624 * [taylor]: Taking taylor expansion of N in N 0.624 * [taylor]: Taking taylor expansion of 1.0 in N 0.627 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.627 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.627 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.627 * [taylor]: Taking taylor expansion of 1/3 in N 0.627 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.627 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.627 * [taylor]: Taking taylor expansion of N in N 0.627 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.627 * [taylor]: Taking taylor expansion of N in N 0.627 * [taylor]: Taking taylor expansion of 1.0 in N 0.660 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.661 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.661 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.661 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.661 * [taylor]: Taking taylor expansion of 1/3 in N 0.661 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.661 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.661 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.661 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.661 * [taylor]: Taking taylor expansion of N in N 0.661 * [taylor]: Taking taylor expansion of 1.0 in N 0.661 * [taylor]: Taking taylor expansion of N in N 0.662 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.662 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.662 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.662 * [taylor]: Taking taylor expansion of 1/3 in N 0.662 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.662 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.662 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.662 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.662 * [taylor]: Taking taylor expansion of N in N 0.663 * [taylor]: Taking taylor expansion of 1.0 in N 0.663 * [taylor]: Taking taylor expansion of N in N 0.682 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.682 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.682 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.682 * [taylor]: Taking taylor expansion of -1 in N 0.683 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.683 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.683 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.683 * [taylor]: Taking taylor expansion of 1/3 in N 0.683 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.683 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.683 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.683 * [taylor]: Taking taylor expansion of 1.0 in N 0.683 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.683 * [taylor]: Taking taylor expansion of N in N 0.684 * [taylor]: Taking taylor expansion of N in N 0.685 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.685 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.685 * [taylor]: Taking taylor expansion of -1 in N 0.686 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.686 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.686 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.686 * [taylor]: Taking taylor expansion of 1/3 in N 0.686 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.686 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.686 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.686 * [taylor]: Taking taylor expansion of 1.0 in N 0.686 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.686 * [taylor]: Taking taylor expansion of N in N 0.687 * [taylor]: Taking taylor expansion of N in N 0.716 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 0.717 * [approximate]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in (N) around 0 0.717 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N 0.717 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N 0.717 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N 0.717 * [taylor]: Taking taylor expansion of 1/3 in N 0.717 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N 0.717 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N 0.717 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.717 * [taylor]: Taking taylor expansion of N in N 0.717 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 0.717 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.717 * [taylor]: Taking taylor expansion of N in N 0.717 * [taylor]: Taking taylor expansion of 1.0 in N 0.725 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N 0.725 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N 0.725 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N 0.725 * [taylor]: Taking taylor expansion of 1/3 in N 0.725 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N 0.725 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N 0.725 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.725 * [taylor]: Taking taylor expansion of N in N 0.725 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 0.725 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.725 * [taylor]: Taking taylor expansion of N in N 0.725 * [taylor]: Taking taylor expansion of 1.0 in N 0.760 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in (N) around 0 0.760 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 0.762 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 0.762 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 0.762 * [taylor]: Taking taylor expansion of 1/3 in N 0.762 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 0.762 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 0.762 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 0.762 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.762 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.762 * [taylor]: Taking taylor expansion of N in N 0.762 * [taylor]: Taking taylor expansion of 1.0 in N 0.763 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.763 * [taylor]: Taking taylor expansion of N in N 0.764 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 0.764 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 0.764 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 0.764 * [taylor]: Taking taylor expansion of 1/3 in N 0.764 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 0.764 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 0.764 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 0.764 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.764 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.764 * [taylor]: Taking taylor expansion of N in N 0.764 * [taylor]: Taking taylor expansion of 1.0 in N 0.764 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.764 * [taylor]: Taking taylor expansion of N in N 0.790 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in (N) around 0 0.790 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in N 0.790 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 0.790 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.790 * [taylor]: Taking taylor expansion of -1 in N 0.790 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 0.790 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 0.791 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 0.791 * [taylor]: Taking taylor expansion of 1/3 in N 0.791 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 0.791 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 0.791 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 0.791 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.791 * [taylor]: Taking taylor expansion of 1.0 in N 0.791 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.791 * [taylor]: Taking taylor expansion of N in N 0.791 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.791 * [taylor]: Taking taylor expansion of N in N 0.792 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in N 0.792 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 0.792 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.793 * [taylor]: Taking taylor expansion of -1 in N 0.793 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 0.793 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 0.793 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 0.793 * [taylor]: Taking taylor expansion of 1/3 in N 0.793 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 0.793 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 0.793 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 0.793 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.793 * [taylor]: Taking taylor expansion of 1.0 in N 0.793 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.793 * [taylor]: Taking taylor expansion of N in N 0.794 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.794 * [taylor]: Taking taylor expansion of N in N 0.839 * * * [progress]: simplifying candidates 0.840 * [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))) (+ 1/3 1/3) (+ 1 1) (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (+ 1 1) (+ (log (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N)))) (log (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (exp (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (cbrt (* (cbrt (* (+ N 1.0) N)) (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))) (* (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)) (cbrt (* (+ N 1.0) N)))) (sqrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) 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 1.0))))) (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- N 1.0))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (- N 1.0)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)) (* (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N))))) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N)))) (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N)))) (* 1 1) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N)))) (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N)))) (* 2 1/3) (* 2 1) (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (* (cbrt (* (+ N 1.0) N)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N))))) (* (cbrt (* (+ N 1.0) N)) (sqrt (cbrt (* (+ N 1.0) N)))) (* (cbrt (* (+ N 1.0) N)) 1) (* (cbrt N) (cbrt (* (+ N 1.0) N))) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (* (sqrt (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (- (* N N) (* 1.0 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)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (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)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (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)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (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)))) (- (+ (* 0.6666666666666666 (* N (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (+ (* 0.5555555555555556 (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (* 0.6666666666666666 (/ (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) (pow 1.0 2)))) (- (+ (* 0.6666666666666666 (pow N 1/3)) (pow (/ 1 N) -4/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))) (- (+ (* (pow (cbrt -1) 2) (pow (pow N 4) 1/3)) (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow N 1/3)))) (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)))) 0.841 * [simplify]: Sending expressions to egg_math: (log (cbrt (* (+ h0 h1) h0))) (exp (cbrt (* (+ h0 h1) h0))) (cbrt (+ h0 h1)) (cbrt h0) (cbrt (* (+ (pow h0 3) (pow h1 3)) h0)) (cbrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (cbrt (* (- (* h0 h0) (* h1 h1)) h0)) (cbrt (- h0 h1)) (* (cbrt (cbrt (* (+ h0 h1) h0))) (cbrt (cbrt (* (+ h0 h1) h0)))) (cbrt (cbrt (* (+ h0 h1) h0))) (* (* (cbrt (* (+ h0 h1) h0)) (cbrt (* (+ h0 h1) h0))) (cbrt (* (+ h0 h1) h0))) (sqrt (cbrt (* (+ h0 h1) h0))) (sqrt (cbrt (* (+ h0 h1) h0))) (log (cbrt (* (+ h0 h1) h0))) (exp (cbrt (* (+ h0 h1) h0))) (cbrt (+ h0 h1)) (cbrt h0) (cbrt (* (+ (pow h0 3) (pow h1 3)) h0)) (cbrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (cbrt (* (- (* h0 h0) (* h1 h1)) h0)) (cbrt (- h0 h1)) (* (cbrt (cbrt (* (+ h0 h1) h0))) (cbrt (cbrt (* (+ h0 h1) h0)))) (cbrt (cbrt (* (+ h0 h1) h0))) (* (* (cbrt (* (+ h0 h1) h0)) (cbrt (* (+ h0 h1) h0))) (cbrt (* (+ h0 h1) h0))) (sqrt (cbrt (* (+ h0 h1) h0))) (sqrt (cbrt (* (+ h0 h1) h0))) (log (cbrt (* (+ h0 h1) h0))) (exp (cbrt (* (+ h0 h1) h0))) (cbrt (+ h0 h1)) (cbrt h0) (cbrt (* (+ (pow h0 3) (pow h1 3)) h0)) (cbrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (cbrt (* (- (* h0 h0) (* h1 h1)) h0)) (cbrt (- h0 h1)) (* (cbrt (cbrt (* (+ h0 h1) h0))) (cbrt (cbrt (* (+ h0 h1) h0)))) (cbrt (cbrt (* (+ h0 h1) h0))) (* (* (cbrt (* (+ h0 h1) h0)) (cbrt (* (+ h0 h1) h0))) (cbrt (* (+ h0 h1) h0))) (sqrt (cbrt (* (+ h0 h1) h0))) (sqrt (cbrt (* (+ h0 h1) h0))) (+ 1/3 1/3) (+ 1 1) (* (* (+ h0 h1) h0) (* (+ h0 h1) h0)) (* (cbrt (* (+ h0 h1) h0)) (cbrt (* (+ h0 h1) h0))) (+ 1 1) (+ (log (cbrt (* (+ h0 h1) h0))) (log (cbrt (* (+ h0 h1) h0)))) (log (* (cbrt (* (+ h0 h1) h0)) (cbrt (* (+ h0 h1) h0)))) (exp (* (cbrt (* (+ h0 h1) h0)) (cbrt (* (+ h0 h1) h0)))) (* (* (+ h0 h1) h0) (* (+ h0 h1) h0)) (* (cbrt (* (cbrt (* (+ h0 h1) h0)) (cbrt (* (+ h0 h1) h0)))) (cbrt (* (cbrt (* (+ h0 h1) h0)) (cbrt (* (+ h0 h1) h0))))) (cbrt (* (cbrt (* (+ h0 h1) h0)) (cbrt (* (+ h0 h1) h0)))) (* (* (* (cbrt (* (+ h0 h1) h0)) (cbrt (* (+ h0 h1) h0))) (* (cbrt (* (+ h0 h1) h0)) (cbrt (* (+ h0 h1) h0)))) (* (cbrt (* (+ h0 h1) h0)) (cbrt (* (+ h0 h1) h0)))) (sqrt (* (cbrt (* (+ h0 h1) h0)) (cbrt (* (+ h0 h1) h0)))) (sqrt (* (cbrt (* (+ h0 h1) h0)) (cbrt (* (+ h0 h1) h0)))) (* (cbrt (* (+ (pow h0 3) (pow h1 3)) h0)) (cbrt (* (+ (pow h0 3) (pow h1 3)) h0))) (* (cbrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (cbrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1))))) (* (cbrt (* (+ (pow h0 3) (pow h1 3)) h0)) (cbrt (* (- (* h0 h0) (* h1 h1)) h0))) (* (cbrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (cbrt (- h0 h1))) (* (cbrt (* (- (* h0 h0) (* h1 h1)) h0)) (cbrt (* (+ (pow h0 3) (pow h1 3)) h0))) (* (cbrt (- h0 h1)) (cbrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1))))) (* (cbrt (* (- (* h0 h0) (* h1 h1)) h0)) (cbrt (* (- (* h0 h0) (* h1 h1)) h0))) (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h0) (cbrt h0)) (* (* (cbrt (cbrt (* (+ h0 h1) h0))) (cbrt (cbrt (* (+ h0 h1) h0)))) (* (cbrt (cbrt (* (+ h0 h1) h0))) (cbrt (cbrt (* (+ h0 h1) h0))))) (* (cbrt (cbrt (* (+ h0 h1) h0))) (cbrt (cbrt (* (+ h0 h1) h0)))) (* (sqrt (cbrt (* (+ h0 h1) h0))) (sqrt (cbrt (* (+ h0 h1) h0)))) (* (sqrt (cbrt (* (+ h0 h1) h0))) (sqrt (cbrt (* (+ h0 h1) h0)))) (* 1 1) (* (cbrt (* (+ h0 h1) h0)) (cbrt (* (+ h0 h1) h0))) (* (sqrt (cbrt (* (+ h0 h1) h0))) (sqrt (cbrt (* (+ h0 h1) h0)))) (* (sqrt (cbrt (* (+ h0 h1) h0))) (sqrt (cbrt (* (+ h0 h1) h0)))) (* 2 1/3) (* 2 1) (* (cbrt (* (+ h0 h1) h0)) (cbrt (+ h0 h1))) (* (cbrt (* (+ h0 h1) h0)) (* (cbrt (cbrt (* (+ h0 h1) h0))) (cbrt (cbrt (* (+ h0 h1) h0))))) (* (cbrt (* (+ h0 h1) h0)) (sqrt (cbrt (* (+ h0 h1) h0)))) (* (cbrt (* (+ h0 h1) h0)) 1) (* (cbrt h0) (cbrt (* (+ h0 h1) h0))) (* (cbrt (cbrt (* (+ h0 h1) h0))) (cbrt (* (+ h0 h1) h0))) (* (sqrt (cbrt (* (+ h0 h1) h0))) (cbrt (* (+ h0 h1) h0))) (* (cbrt (* (+ h0 h1) h0)) (cbrt (* (+ h0 h1) h0))) (* (cbrt (* (+ h0 h1) h0)) (cbrt (* (+ (pow h0 3) (pow h1 3)) h0))) (* (cbrt (* (+ h0 h1) h0)) (cbrt (* (- (* h0 h0) (* h1 h1)) h0))) (* (cbrt (* (+ (pow h0 3) (pow h1 3)) h0)) (cbrt (* (+ h0 h1) h0))) (* (cbrt (* (- (* h0 h0) (* h1 h1)) h0)) (cbrt (* (+ h0 h1) h0))) (- (+ (exp (* 1/3 (+ (log h1) (log h0)))) (+ (* h2 (* (exp (* 1/3 (+ (log h1) (log h0)))) (pow h0 2))) (* h3 (* (exp (* 1/3 (+ (log h1) (log h0)))) h0)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log h1) (log h0)))) (pow h0 2)) (pow h1 2)))) (- (+ (pow (/ 1 h0) -2/3) (* h3 (pow (/ 1 h0) 1/3))) (* h4 (pow (/ 1 (pow h0 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 h0))))))) (* h3 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 h0))))))) h0))) (* h4 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 h0))))))) (pow h0 2)))) (- (+ (exp (* 1/3 (+ (log h1) (log h0)))) (+ (* h2 (* (exp (* 1/3 (+ (log h1) (log h0)))) (pow h0 2))) (* h3 (* (exp (* 1/3 (+ (log h1) (log h0)))) h0)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log h1) (log h0)))) (pow h0 2)) (pow h1 2)))) (- (+ (pow (/ 1 h0) -2/3) (* h3 (pow (/ 1 h0) 1/3))) (* h4 (pow (/ 1 (pow h0 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 h0))))))) (* h3 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 h0))))))) h0))) (* h4 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 h0))))))) (pow h0 2)))) (- (+ (exp (* 1/3 (+ (log h1) (log h0)))) (+ (* h2 (* (exp (* 1/3 (+ (log h1) (log h0)))) (pow h0 2))) (* h3 (* (exp (* 1/3 (+ (log h1) (log h0)))) h0)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log h1) (log h0)))) (pow h0 2)) (pow h1 2)))) (- (+ (pow (/ 1 h0) -2/3) (* h3 (pow (/ 1 h0) 1/3))) (* h4 (pow (/ 1 (pow h0 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 h0))))))) (* h3 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 h0))))))) h0))) (* h4 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 h0))))))) (pow h0 2)))) (- (+ (* h5 (* h0 (exp (* 1/3 (+ (log h1) (* 2 (log h0))))))) (+ (* h6 (* (pow h0 2) (exp (* 1/3 (+ (log h1) (* 2 (log h0))))))) (exp (* 1/3 (+ (log h1) (* 2 (log h0))))))) (* h5 (/ (* (pow h0 2) (exp (* 1/3 (+ (log h1) (* 2 (log h0)))))) (pow h1 2)))) (- (+ (* h5 (pow h0 1/3)) (pow (/ 1 h0) -4/3)) (* h4 (pow (/ 1 (pow h0 2)) 1/3))) (- (+ (* (pow (cbrt -1) 2) (pow (pow h0 4) 1/3)) (* h5 (* (pow (cbrt -1) 2) (pow h0 1/3)))) (* h4 (* (pow (cbrt -1) 2) (pow (/ 1 (pow h0 2)) 1/3)))) 0.846 * * [simplify]: iteration 0 : 353 enodes (cost 803 ) 0.853 * * [simplify]: iteration 1 : 1280 enodes (cost 743 ) 0.879 * * [simplify]: iteration 2 : 5001 enodes (cost 669 ) 0.883 * [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))) 2/3 2 (pow (cbrt (* (+ N 1.0) N)) 6) (pow (sqrt (cbrt (* (+ N 1.0) N))) 4) 2 (* 2 (log (cbrt (* (+ N 1.0) N)))) (* 2 (log (cbrt (* (+ N 1.0) N)))) (pow (exp 1) (pow (sqrt (cbrt (* (+ N 1.0) N))) 4)) (pow (cbrt (* (+ N 1.0) N)) 6) (* (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))))) (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (pow (cbrt (* (+ N 1.0) N)) 6) (fabs (cbrt (* (+ N 1.0) N))) (fabs (cbrt (* (+ N 1.0) N))) (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) 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 1.0))))) (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- N 1.0))) (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- N 1.0))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (pow N 2/3) (pow (cbrt (cbrt (* (+ N 1.0) N))) 4) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)) 1 (pow (sqrt (cbrt (* (+ N 1.0) N))) 4) (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)) 2/3 2 (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (* (pow (cbrt (cbrt (* (+ N 1.0) N))) 4) (cbrt (cbrt (* (+ N 1.0) N)))) (pow (sqrt (cbrt (* (+ N 1.0) N))) 3) (cbrt (* (+ N 1.0) N)) (* (cbrt N) (cbrt (* (+ N 1.0) N))) (pow (cbrt (cbrt (* (+ N 1.0) N))) 4) (pow (sqrt (cbrt (* (+ N 1.0) N))) 3) (pow (sqrt (cbrt (* (+ N 1.0) N))) 4) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (- (* (* (pow N 1/3) (pow 1.0 1/3)) (+ (* N 0.3333333333333333) (* (pow N 2) 0.05555555555555555))) (- (* (/ 1/6 (/ 1.0 N)) (/ (* (pow N 1/3) (pow 1.0 1/3)) (/ 1.0 N))) (* (pow N 1/3) (pow 1.0 1/3)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (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)))) (- (* (* (pow N 1/3) (pow 1.0 1/3)) (+ (* N 0.3333333333333333) (* (pow N 2) 0.05555555555555555))) (- (* (/ 1/6 (/ 1.0 N)) (/ (* (pow N 1/3) (pow 1.0 1/3)) (/ 1.0 N))) (* (pow N 1/3) (pow 1.0 1/3)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (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)))) (- (* (* (pow N 1/3) (pow 1.0 1/3)) (+ (* N 0.3333333333333333) (* (pow N 2) 0.05555555555555555))) (- (* (/ 1/6 (/ 1.0 N)) (/ (* (pow N 1/3) (pow 1.0 1/3)) (/ 1.0 N))) (* (pow N 1/3) (pow 1.0 1/3)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (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)))) (+ (+ (/ (- (* 0.6666666666666666 (pow N 2))) (* (/ 1.0 (pow 1.0 1/3)) (/ 1.0 (pow N 2/3)))) (* (* (pow N 2/3) (pow 1.0 1/3)) (+ (* 0.5555555555555556 (pow N 2)) (* 0.6666666666666666 N)))) (* (pow N 2/3) (pow 1.0 1/3))) (- (+ (* 0.6666666666666666 (pow N 1/3)) (pow (/ 1 N) -4/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))) (- (+ (* (pow (cbrt -1) 2) (pow (pow N 4) 1/3)) (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow N 1/3)))) (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)))) 0.883 * * * [progress]: adding candidates to table 1.142 * * [progress]: iteration 4 / 4 1.142 * * * [progress]: picking best candidate 1.154 * * * * [pick]: Picked # 1.154 * * * [progress]: localizing error 1.172 * * * [progress]: generating rewritten candidates 1.172 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 1.179 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 1 1) 1.186 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2) 1.187 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 1.242 * * * [progress]: generating series expansions 1.242 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 1.242 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 1.242 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 1.242 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 1.242 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 1.242 * [taylor]: Taking taylor expansion of 1/3 in N 1.242 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 1.242 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.242 * [taylor]: Taking taylor expansion of N in N 1.242 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.242 * [taylor]: Taking taylor expansion of N in N 1.242 * [taylor]: Taking taylor expansion of 1.0 in N 1.246 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 1.246 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 1.246 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 1.246 * [taylor]: Taking taylor expansion of 1/3 in N 1.246 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 1.246 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.246 * [taylor]: Taking taylor expansion of N in N 1.246 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.246 * [taylor]: Taking taylor expansion of N in N 1.246 * [taylor]: Taking taylor expansion of 1.0 in N 1.275 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 1.275 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 1.275 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 1.275 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 1.275 * [taylor]: Taking taylor expansion of 1/3 in N 1.275 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 1.275 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.275 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.275 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.275 * [taylor]: Taking taylor expansion of N in N 1.275 * [taylor]: Taking taylor expansion of 1.0 in N 1.275 * [taylor]: Taking taylor expansion of N in N 1.276 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 1.276 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 1.276 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 1.276 * [taylor]: Taking taylor expansion of 1/3 in N 1.276 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 1.276 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.276 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.276 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.276 * [taylor]: Taking taylor expansion of N in N 1.277 * [taylor]: Taking taylor expansion of 1.0 in N 1.277 * [taylor]: Taking taylor expansion of N in N 1.297 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 1.297 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 1.297 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.297 * [taylor]: Taking taylor expansion of -1 in N 1.298 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 1.298 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 1.298 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 1.298 * [taylor]: Taking taylor expansion of 1/3 in N 1.298 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 1.298 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.298 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.298 * [taylor]: Taking taylor expansion of 1.0 in N 1.298 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.298 * [taylor]: Taking taylor expansion of N in N 1.298 * [taylor]: Taking taylor expansion of N in N 1.300 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 1.300 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.300 * [taylor]: Taking taylor expansion of -1 in N 1.301 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 1.301 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 1.301 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 1.301 * [taylor]: Taking taylor expansion of 1/3 in N 1.301 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 1.301 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.301 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.301 * [taylor]: Taking taylor expansion of 1.0 in N 1.301 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.301 * [taylor]: Taking taylor expansion of N in N 1.301 * [taylor]: Taking taylor expansion of N in N 1.338 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 1 1) 1.338 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 1.338 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 1.338 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 1.338 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 1.338 * [taylor]: Taking taylor expansion of 1/3 in N 1.338 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 1.338 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.338 * [taylor]: Taking taylor expansion of N in N 1.338 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.338 * [taylor]: Taking taylor expansion of N in N 1.338 * [taylor]: Taking taylor expansion of 1.0 in N 1.341 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 1.341 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 1.341 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 1.341 * [taylor]: Taking taylor expansion of 1/3 in N 1.341 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 1.341 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.341 * [taylor]: Taking taylor expansion of N in N 1.341 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.341 * [taylor]: Taking taylor expansion of N in N 1.341 * [taylor]: Taking taylor expansion of 1.0 in N 1.368 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 1.368 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 1.368 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 1.368 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 1.368 * [taylor]: Taking taylor expansion of 1/3 in N 1.368 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 1.368 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.368 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.369 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.369 * [taylor]: Taking taylor expansion of N in N 1.369 * [taylor]: Taking taylor expansion of 1.0 in N 1.369 * [taylor]: Taking taylor expansion of N in N 1.370 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 1.370 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 1.370 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 1.370 * [taylor]: Taking taylor expansion of 1/3 in N 1.370 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 1.370 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.370 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.370 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.370 * [taylor]: Taking taylor expansion of N in N 1.370 * [taylor]: Taking taylor expansion of 1.0 in N 1.370 * [taylor]: Taking taylor expansion of N in N 1.390 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 1.390 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 1.390 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.390 * [taylor]: Taking taylor expansion of -1 in N 1.391 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 1.391 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 1.391 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 1.391 * [taylor]: Taking taylor expansion of 1/3 in N 1.391 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 1.391 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.391 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.391 * [taylor]: Taking taylor expansion of 1.0 in N 1.391 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.391 * [taylor]: Taking taylor expansion of N in N 1.391 * [taylor]: Taking taylor expansion of N in N 1.393 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 1.393 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.393 * [taylor]: Taking taylor expansion of -1 in N 1.394 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 1.394 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 1.394 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 1.394 * [taylor]: Taking taylor expansion of 1/3 in N 1.394 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 1.394 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.394 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.394 * [taylor]: Taking taylor expansion of 1.0 in N 1.394 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.394 * [taylor]: Taking taylor expansion of N in N 1.394 * [taylor]: Taking taylor expansion of N in N 1.430 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2) 1.430 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 1.430 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.430 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.430 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.430 * [taylor]: Taking taylor expansion of 1/3 in N 1.430 * [taylor]: Taking taylor expansion of (log N) in N 1.430 * [taylor]: Taking taylor expansion of N in N 1.431 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.431 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.431 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.431 * [taylor]: Taking taylor expansion of 1/3 in N 1.431 * [taylor]: Taking taylor expansion of (log N) in N 1.431 * [taylor]: Taking taylor expansion of N in N 1.478 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 1.478 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.478 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.478 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.478 * [taylor]: Taking taylor expansion of 1/3 in N 1.478 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.478 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.478 * [taylor]: Taking taylor expansion of N in N 1.479 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.479 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.479 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.479 * [taylor]: Taking taylor expansion of 1/3 in N 1.479 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.479 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.479 * [taylor]: Taking taylor expansion of N in N 1.534 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 1.534 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.534 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.534 * [taylor]: Taking taylor expansion of -1 in N 1.535 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.535 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.535 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.535 * [taylor]: Taking taylor expansion of 1/3 in N 1.535 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.535 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.535 * [taylor]: Taking taylor expansion of N in N 1.536 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.536 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.536 * [taylor]: Taking taylor expansion of -1 in N 1.537 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.537 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.537 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.537 * [taylor]: Taking taylor expansion of 1/3 in N 1.537 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.537 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.537 * [taylor]: Taking taylor expansion of N in N 1.603 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 1.603 * [approximate]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in (N) around 0 1.603 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N 1.603 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N 1.603 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N 1.603 * [taylor]: Taking taylor expansion of 1/3 in N 1.603 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N 1.603 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N 1.603 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.603 * [taylor]: Taking taylor expansion of N in N 1.603 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 1.603 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.603 * [taylor]: Taking taylor expansion of N in N 1.603 * [taylor]: Taking taylor expansion of 1.0 in N 1.605 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N 1.605 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N 1.605 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N 1.605 * [taylor]: Taking taylor expansion of 1/3 in N 1.605 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N 1.605 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N 1.605 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.605 * [taylor]: Taking taylor expansion of N in N 1.605 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 1.605 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.605 * [taylor]: Taking taylor expansion of N in N 1.605 * [taylor]: Taking taylor expansion of 1.0 in N 1.639 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in (N) around 0 1.639 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 1.639 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 1.639 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 1.639 * [taylor]: Taking taylor expansion of 1/3 in N 1.639 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 1.639 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 1.639 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 1.639 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.639 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.639 * [taylor]: Taking taylor expansion of N in N 1.639 * [taylor]: Taking taylor expansion of 1.0 in N 1.640 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.640 * [taylor]: Taking taylor expansion of N in N 1.641 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 1.641 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 1.641 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 1.641 * [taylor]: Taking taylor expansion of 1/3 in N 1.641 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 1.641 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 1.641 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 1.641 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.641 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.641 * [taylor]: Taking taylor expansion of N in N 1.647 * [taylor]: Taking taylor expansion of 1.0 in N 1.647 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.647 * [taylor]: Taking taylor expansion of N in N 1.672 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in (N) around 0 1.672 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in N 1.672 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 1.672 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.672 * [taylor]: Taking taylor expansion of -1 in N 1.672 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 1.672 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 1.672 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 1.672 * [taylor]: Taking taylor expansion of 1/3 in N 1.672 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 1.672 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 1.672 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 1.672 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.672 * [taylor]: Taking taylor expansion of 1.0 in N 1.672 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.672 * [taylor]: Taking taylor expansion of N in N 1.673 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.673 * [taylor]: Taking taylor expansion of N in N 1.674 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in N 1.674 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 1.674 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.674 * [taylor]: Taking taylor expansion of -1 in N 1.675 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 1.675 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 1.675 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 1.675 * [taylor]: Taking taylor expansion of 1/3 in N 1.675 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 1.675 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 1.675 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 1.675 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.675 * [taylor]: Taking taylor expansion of 1.0 in N 1.675 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.675 * [taylor]: Taking taylor expansion of N in N 1.676 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.676 * [taylor]: Taking taylor expansion of N in N 1.714 * * * [progress]: simplifying candidates 1.715 * [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)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (* (* (* (+ N 1.0) N) (+ N 1.0)) N) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N)) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N)) (+ (+ (log (cbrt (* (+ N 1.0) N))) (log (cbrt (+ N 1.0)))) (log (cbrt N))) (+ (log (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0)))) (log (cbrt N))) (log (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N))) (exp (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N))) (* (* (* (+ N 1.0) N) (+ N 1.0)) N) (* (* (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0)))) (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0)))) N) (* (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N))) (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N)))) (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N))) (* (* (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N)) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N))) (sqrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N))) (sqrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt (* (cbrt N) (cbrt N)))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt (sqrt N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt 1)) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (sqrt (cbrt N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) 1) (* (cbrt (+ N 1.0)) (cbrt N)) (* (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (pow N 3) (pow 1.0 3)))) (cbrt N)) (* (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt N)) (* (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (+ (pow N 3) (pow 1.0 3)))) (cbrt N)) (* (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt N)) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ (pow N 3) (pow 1.0 3)))) (cbrt N)) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt N)) (* (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ N 1.0))) (cbrt N)) (* (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (+ N 1.0))) (cbrt 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)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (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)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (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)))) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (- (+ (* 0.6666666666666666 (* N (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (+ (* 0.5555555555555556 (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (* 0.6666666666666666 (/ (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) (pow 1.0 2)))) (- (+ (* 0.6666666666666666 (pow N 1/3)) (pow (/ 1 N) -4/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))) (- (+ (* (pow (cbrt -1) 2) (pow (pow N 4) 1/3)) (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow N 1/3)))) (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)))) 1.715 * [simplify]: Sending expressions to egg_math: (log (cbrt (* (+ h0 h1) h0))) (exp (cbrt (* (+ h0 h1) h0))) (cbrt (+ h0 h1)) (cbrt h0) (cbrt (* (+ (pow h0 3) (pow h1 3)) h0)) (cbrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (cbrt (* (- (* h0 h0) (* h1 h1)) h0)) (cbrt (- h0 h1)) (* (cbrt (cbrt (* (+ h0 h1) h0))) (cbrt (cbrt (* (+ h0 h1) h0)))) (cbrt (cbrt (* (+ h0 h1) h0))) (* (* (cbrt (* (+ h0 h1) h0)) (cbrt (* (+ h0 h1) h0))) (cbrt (* (+ h0 h1) h0))) (sqrt (cbrt (* (+ h0 h1) h0))) (sqrt (cbrt (* (+ h0 h1) h0))) (log (cbrt (* (+ h0 h1) h0))) (exp (cbrt (* (+ h0 h1) h0))) (cbrt (+ h0 h1)) (cbrt h0) (cbrt (* (+ (pow h0 3) (pow h1 3)) h0)) (cbrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (cbrt (* (- (* h0 h0) (* h1 h1)) h0)) (cbrt (- h0 h1)) (* (cbrt (cbrt (* (+ h0 h1) h0))) (cbrt (cbrt (* (+ h0 h1) h0)))) (cbrt (cbrt (* (+ h0 h1) h0))) (* (* (cbrt (* (+ h0 h1) h0)) (cbrt (* (+ h0 h1) h0))) (cbrt (* (+ h0 h1) h0))) (sqrt (cbrt (* (+ h0 h1) h0))) (sqrt (cbrt (* (+ h0 h1) h0))) (log (cbrt h0)) (exp (cbrt h0)) (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (cbrt h0)) (cbrt (sqrt h0)) (cbrt (sqrt h0)) (cbrt 1) (cbrt h0) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (cbrt (cbrt h0)) (* (* (cbrt h0) (cbrt h0)) (cbrt h0)) (sqrt (cbrt h0)) (sqrt (cbrt h0)) (* (* (* (+ h0 h1) h0) (+ h0 h1)) h0) (* (* (cbrt (* (+ h0 h1) h0)) (cbrt (+ h0 h1))) (cbrt h0)) (* (* (cbrt (* (+ h0 h1) h0)) (cbrt (+ h0 h1))) (cbrt h0)) (+ (+ (log (cbrt (* (+ h0 h1) h0))) (log (cbrt (+ h0 h1)))) (log (cbrt h0))) (+ (log (* (cbrt (* (+ h0 h1) h0)) (cbrt (+ h0 h1)))) (log (cbrt h0))) (log (* (* (cbrt (* (+ h0 h1) h0)) (cbrt (+ h0 h1))) (cbrt h0))) (exp (* (* (cbrt (* (+ h0 h1) h0)) (cbrt (+ h0 h1))) (cbrt h0))) (* (* (* (+ h0 h1) h0) (+ h0 h1)) h0) (* (* (* (* (cbrt (* (+ h0 h1) h0)) (cbrt (+ h0 h1))) (* (cbrt (* (+ h0 h1) h0)) (cbrt (+ h0 h1)))) (* (cbrt (* (+ h0 h1) h0)) (cbrt (+ h0 h1)))) h0) (* (cbrt (* (* (cbrt (* (+ h0 h1) h0)) (cbrt (+ h0 h1))) (cbrt h0))) (cbrt (* (* (cbrt (* (+ h0 h1) h0)) (cbrt (+ h0 h1))) (cbrt h0)))) (cbrt (* (* (cbrt (* (+ h0 h1) h0)) (cbrt (+ h0 h1))) (cbrt h0))) (* (* (* (* (cbrt (* (+ h0 h1) h0)) (cbrt (+ h0 h1))) (cbrt h0)) (* (* (cbrt (* (+ h0 h1) h0)) (cbrt (+ h0 h1))) (cbrt h0))) (* (* (cbrt (* (+ h0 h1) h0)) (cbrt (+ h0 h1))) (cbrt h0))) (sqrt (* (* (cbrt (* (+ h0 h1) h0)) (cbrt (+ h0 h1))) (cbrt h0))) (sqrt (* (* (cbrt (* (+ h0 h1) h0)) (cbrt (+ h0 h1))) (cbrt h0))) (* (* (cbrt (* (+ h0 h1) h0)) (cbrt (+ h0 h1))) (cbrt (* (cbrt h0) (cbrt h0)))) (* (* (cbrt (* (+ h0 h1) h0)) (cbrt (+ h0 h1))) (cbrt (sqrt h0))) (* (* (cbrt (* (+ h0 h1) h0)) (cbrt (+ h0 h1))) (cbrt 1)) (* (* (cbrt (* (+ h0 h1) h0)) (cbrt (+ h0 h1))) (* (cbrt (cbrt h0)) (cbrt (cbrt h0)))) (* (* (cbrt (* (+ h0 h1) h0)) (cbrt (+ h0 h1))) (sqrt (cbrt h0))) (* (* (cbrt (* (+ h0 h1) h0)) (cbrt (+ h0 h1))) 1) (* (cbrt (+ h0 h1)) (cbrt h0)) (* (* (cbrt (* (+ (pow h0 3) (pow h1 3)) h0)) (cbrt (+ (pow h0 3) (pow h1 3)))) (cbrt h0)) (* (* (cbrt (* (+ (pow h0 3) (pow h1 3)) h0)) (cbrt (- (* h0 h0) (* h1 h1)))) (cbrt h0)) (* (* (cbrt (* (- (* h0 h0) (* h1 h1)) h0)) (cbrt (+ (pow h0 3) (pow h1 3)))) (cbrt h0)) (* (* (cbrt (* (- (* h0 h0) (* h1 h1)) h0)) (cbrt (- (* h0 h0) (* h1 h1)))) (cbrt h0)) (* (* (cbrt (* (+ h0 h1) h0)) (cbrt (+ (pow h0 3) (pow h1 3)))) (cbrt h0)) (* (* (cbrt (* (+ h0 h1) h0)) (cbrt (- (* h0 h0) (* h1 h1)))) (cbrt h0)) (* (* (cbrt (* (+ (pow h0 3) (pow h1 3)) h0)) (cbrt (+ h0 h1))) (cbrt h0)) (* (* (cbrt (* (- (* h0 h0) (* h1 h1)) h0)) (cbrt (+ h0 h1))) (cbrt h0)) (- (+ (exp (* 1/3 (+ (log h1) (log h0)))) (+ (* h2 (* (exp (* 1/3 (+ (log h1) (log h0)))) (pow h0 2))) (* h3 (* (exp (* 1/3 (+ (log h1) (log h0)))) h0)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log h1) (log h0)))) (pow h0 2)) (pow h1 2)))) (- (+ (pow (/ 1 h0) -2/3) (* h3 (pow (/ 1 h0) 1/3))) (* h4 (pow (/ 1 (pow h0 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 h0))))))) (* h3 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 h0))))))) h0))) (* h4 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 h0))))))) (pow h0 2)))) (- (+ (exp (* 1/3 (+ (log h1) (log h0)))) (+ (* h2 (* (exp (* 1/3 (+ (log h1) (log h0)))) (pow h0 2))) (* h3 (* (exp (* 1/3 (+ (log h1) (log h0)))) h0)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log h1) (log h0)))) (pow h0 2)) (pow h1 2)))) (- (+ (pow (/ 1 h0) -2/3) (* h3 (pow (/ 1 h0) 1/3))) (* h4 (pow (/ 1 (pow h0 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 h0))))))) (* h3 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 h0))))))) h0))) (* h4 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 h0))))))) (pow h0 2)))) (pow h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) (- (+ (* h5 (* h0 (exp (* 1/3 (+ (log h1) (* 2 (log h0))))))) (+ (* h6 (* (pow h0 2) (exp (* 1/3 (+ (log h1) (* 2 (log h0))))))) (exp (* 1/3 (+ (log h1) (* 2 (log h0))))))) (* h5 (/ (* (pow h0 2) (exp (* 1/3 (+ (log h1) (* 2 (log h0)))))) (pow h1 2)))) (- (+ (* h5 (pow h0 1/3)) (pow (/ 1 h0) -4/3)) (* h4 (pow (/ 1 (pow h0 2)) 1/3))) (- (+ (* (pow (cbrt -1) 2) (pow (pow h0 4) 1/3)) (* h5 (* (pow (cbrt -1) 2) (pow h0 1/3)))) (* h4 (* (pow (cbrt -1) 2) (pow (/ 1 (pow h0 2)) 1/3)))) 1.721 * * [simplify]: iteration 0 : 444 enodes (cost 685 ) 1.729 * * [simplify]: iteration 1 : 1657 enodes (cost 644 ) 1.757 * * [simplify]: iteration 2 : 5002 enodes (cost 602 ) 1.759 * [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)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (pow N 1/3) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (* (* (* (+ N 1.0) N) (+ N 1.0)) N) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N)) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N)) (log (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N))) (log (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N))) (log (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N))) (exp (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N))) (* (* (* (+ N 1.0) N) (+ N 1.0)) N) (* (pow (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) 3) N) (* (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N))) (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N)))) (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N))) (* (pow (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) 3) N) (sqrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N))) (sqrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt (* (cbrt N) (cbrt N)))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt (sqrt N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt 1)) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (sqrt (cbrt N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) (cbrt N)) (* (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (pow N 3) (pow 1.0 3)))) (cbrt N)) (* (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt N)) (* (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (+ (pow N 3) (pow 1.0 3)))) (cbrt N)) (* (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt N)) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (+ (pow N 3) (pow 1.0 3)))) (cbrt N)) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt N)) (* (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ N 1.0))) (cbrt N)) (* (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (+ N 1.0))) (cbrt N)) (- (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* N 0.3333333333333333) (* (pow N 2) 0.05555555555555555))) (- (* (/ (* (/ (pow 1.0 1/3) (/ 1.0 N)) (/ (pow N 1/3) (/ 1.0 N))) 1) 1/6) (exp (* 1/3 (+ (log 1.0) (log N)))))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (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)))) (+ (* N 0.3333333333333333) (* (pow N 2) 0.05555555555555555))) (- (* (/ (* (/ (pow 1.0 1/3) (/ 1.0 N)) (/ (pow N 1/3) (/ 1.0 N))) 1) 1/6) (exp (* 1/3 (+ (log 1.0) (log N)))))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (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)))) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (+ (+ (/ (- (* 0.6666666666666666 (pow N 2))) (* (/ 1.0 (pow 1.0 1/3)) (/ 1.0 (pow N 2/3)))) (* (* (pow N 2/3) (pow 1.0 1/3)) (+ (* 0.5555555555555556 (pow N 2)) (* 0.6666666666666666 N)))) (* (pow N 2/3) (pow 1.0 1/3))) (- (+ (* 0.6666666666666666 (pow N 1/3)) (pow (/ 1 N) -4/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))) (- (+ (* (pow (cbrt -1) 2) (pow (pow N 4) 1/3)) (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow N 1/3)))) (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)))) 1.760 * * * [progress]: adding candidates to table 2.053 * [progress]: [Phase 3 of 3] Extracting. 2.053 * * [regime]: Finding splitpoints for: (# # # # # # #) 2.054 * * * [regime-changes]: Trying 1 branch expressions: (N) 2.054 * * * * [regimes]: Trying to branch on N from (# # # # # # #) 2.079 * * * [regime]: Found split indices: #