5.941 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.024 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.026 * [simplify]: Simplifying using # : (- (atan (+ N 1.0)) (atan N)) 0.028 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.029 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.031 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.031 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.031 * * [progress]: iteration 1 / 4 0.031 * * * [progress]: picking best candidate 0.033 * * * * [pick]: Picked # 0.033 * * * [progress]: localizing error 0.041 * * * [progress]: generating rewritten candidates 0.041 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.044 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.046 * * * [progress]: generating series expansions 0.046 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.046 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.046 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.046 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.046 * [taylor]: Taking taylor expansion of (atan N) in N 0.046 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.046 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.046 * [taylor]: Taking taylor expansion of (atan N) in N 0.050 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.050 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.050 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.050 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.050 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.050 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.050 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.053 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.053 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.053 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.053 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.053 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.053 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.053 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.056 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.056 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.056 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.057 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.057 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.057 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.057 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.057 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.057 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.057 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.058 * * * [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)) 0.061 * * [simplify]: iteration 0 : 75 enodes (cost 154 ) 0.063 * * [simplify]: iteration 1 : 145 enodes (cost 145 ) 0.066 * * [simplify]: iteration 2 : 289 enodes (cost 143 ) 0.070 * * [simplify]: iteration 3 : 681 enodes (cost 142 ) 0.083 * * [simplify]: iteration 4 : 2491 enodes (cost 142 ) 0.131 * * [simplify]: iteration 5 : 5001 enodes (cost 142 ) 0.132 * [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)) 0.133 * * * [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) 0.190 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.196 * * * [progress]: generating series expansions 0.196 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.196 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.196 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.196 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.197 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.197 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.197 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.198 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.198 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.198 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.199 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.199 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 0.199 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.199 * [taylor]: Taking taylor expansion of N in N 0.199 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.199 * [taylor]: Taking taylor expansion of N in N 0.199 * [taylor]: Taking taylor expansion of 1.0 in N 0.199 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.199 * [taylor]: Taking taylor expansion of N in N 0.199 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.199 * [taylor]: Taking taylor expansion of N in N 0.199 * [taylor]: Taking taylor expansion of 1.0 in N 0.208 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 0.208 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.208 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.208 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.208 * [taylor]: Taking taylor expansion of N in N 0.208 * [taylor]: Taking taylor expansion of 1.0 in N 0.209 * [taylor]: Taking taylor expansion of N in N 0.209 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.209 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.209 * [taylor]: Taking taylor expansion of N in N 0.209 * [taylor]: Taking taylor expansion of 1.0 in N 0.209 * [taylor]: Taking taylor expansion of N in N 0.220 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 0.221 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.221 * [taylor]: Taking taylor expansion of -1 in N 0.221 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.221 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.221 * [taylor]: Taking taylor expansion of 1.0 in N 0.221 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.221 * [taylor]: Taking taylor expansion of N in N 0.221 * [taylor]: Taking taylor expansion of N in N 0.222 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.222 * [taylor]: Taking taylor expansion of -1 in N 0.222 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.222 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.222 * [taylor]: Taking taylor expansion of 1.0 in N 0.222 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.222 * [taylor]: Taking taylor expansion of N in N 0.222 * [taylor]: Taking taylor expansion of N in N 0.240 * * * [progress]: simplifying candidates 0.241 * [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)) 0.249 * * [simplify]: iteration 0 : 121 enodes (cost 151 ) 0.251 * * [simplify]: iteration 1 : 432 enodes (cost 127 ) 0.261 * * [simplify]: iteration 2 : 2321 enodes (cost 127 ) 0.297 * * [simplify]: iteration 3 : 5002 enodes (cost 127 ) 0.298 * [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) 0.298 * * * [progress]: adding candidates to table 0.352 * * [progress]: iteration 3 / 4 0.352 * * * [progress]: picking best candidate 0.358 * * * * [pick]: Picked # 0.358 * * * [progress]: localizing error 0.367 * * * [progress]: generating rewritten candidates 0.367 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.368 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1) 0.371 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2) 0.374 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1) 0.378 * * * [progress]: generating series expansions 0.378 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.378 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.378 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.378 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.379 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.379 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.379 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.380 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.380 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.380 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.380 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1) 0.381 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 0.381 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.381 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.381 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.381 * [taylor]: Taking taylor expansion of 1/3 in N 0.381 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.381 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.381 * [taylor]: Taking taylor expansion of N in N 0.381 * [taylor]: Taking taylor expansion of 1.0 in N 0.383 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.383 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.383 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.383 * [taylor]: Taking taylor expansion of 1/3 in N 0.383 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.383 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.383 * [taylor]: Taking taylor expansion of N in N 0.383 * [taylor]: Taking taylor expansion of 1.0 in N 0.422 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 0.422 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.422 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.423 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.423 * [taylor]: Taking taylor expansion of 1/3 in N 0.423 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.423 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.423 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.423 * [taylor]: Taking taylor expansion of N in N 0.423 * [taylor]: Taking taylor expansion of 1.0 in N 0.424 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.424 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.424 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.424 * [taylor]: Taking taylor expansion of 1/3 in N 0.424 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.424 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.424 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.424 * [taylor]: Taking taylor expansion of N in N 0.424 * [taylor]: Taking taylor expansion of 1.0 in N 0.443 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 0.443 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.443 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.443 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.443 * [taylor]: Taking taylor expansion of 1/3 in N 0.443 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.443 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.443 * [taylor]: Taking taylor expansion of 1.0 in N 0.443 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.443 * [taylor]: Taking taylor expansion of N in N 0.445 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.445 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.445 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.445 * [taylor]: Taking taylor expansion of 1/3 in N 0.445 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.445 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.445 * [taylor]: Taking taylor expansion of 1.0 in N 0.445 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.445 * [taylor]: Taking taylor expansion of N in N 0.469 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2) 0.469 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 0.470 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.470 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.470 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.470 * [taylor]: Taking taylor expansion of 1/3 in N 0.470 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.470 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.470 * [taylor]: Taking taylor expansion of N in N 0.470 * [taylor]: Taking taylor expansion of 1.0 in N 0.472 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.472 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.472 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.472 * [taylor]: Taking taylor expansion of 1/3 in N 0.472 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.472 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.472 * [taylor]: Taking taylor expansion of N in N 0.472 * [taylor]: Taking taylor expansion of 1.0 in N 0.511 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 0.511 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.511 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.511 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.511 * [taylor]: Taking taylor expansion of 1/3 in N 0.511 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.511 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.511 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.511 * [taylor]: Taking taylor expansion of N in N 0.511 * [taylor]: Taking taylor expansion of 1.0 in N 0.512 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.512 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.512 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.512 * [taylor]: Taking taylor expansion of 1/3 in N 0.512 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.512 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.512 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.512 * [taylor]: Taking taylor expansion of N in N 0.512 * [taylor]: Taking taylor expansion of 1.0 in N 0.530 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 0.530 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.530 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.530 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.531 * [taylor]: Taking taylor expansion of 1/3 in N 0.531 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.531 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.531 * [taylor]: Taking taylor expansion of 1.0 in N 0.531 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.531 * [taylor]: Taking taylor expansion of N in N 0.533 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.533 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.533 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.533 * [taylor]: Taking taylor expansion of 1/3 in N 0.533 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.533 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.533 * [taylor]: Taking taylor expansion of 1.0 in N 0.533 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.533 * [taylor]: Taking taylor expansion of N in N 0.557 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1) 0.557 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 0.557 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.557 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.557 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.557 * [taylor]: Taking taylor expansion of 1/3 in N 0.557 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.557 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.557 * [taylor]: Taking taylor expansion of N in N 0.557 * [taylor]: Taking taylor expansion of 1.0 in N 0.559 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.559 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.559 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.559 * [taylor]: Taking taylor expansion of 1/3 in N 0.559 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.559 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.559 * [taylor]: Taking taylor expansion of N in N 0.559 * [taylor]: Taking taylor expansion of 1.0 in N 0.598 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 0.598 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.598 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.598 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.598 * [taylor]: Taking taylor expansion of 1/3 in N 0.598 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.598 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.598 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.598 * [taylor]: Taking taylor expansion of N in N 0.599 * [taylor]: Taking taylor expansion of 1.0 in N 0.600 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.600 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.600 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.600 * [taylor]: Taking taylor expansion of 1/3 in N 0.600 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.600 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.600 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.600 * [taylor]: Taking taylor expansion of N in N 0.600 * [taylor]: Taking taylor expansion of 1.0 in N 0.618 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 0.618 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.618 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.618 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.618 * [taylor]: Taking taylor expansion of 1/3 in N 0.618 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.619 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.619 * [taylor]: Taking taylor expansion of 1.0 in N 0.619 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.619 * [taylor]: Taking taylor expansion of N in N 0.621 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.621 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.621 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.621 * [taylor]: Taking taylor expansion of 1/3 in N 0.621 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.621 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.621 * [taylor]: Taking taylor expansion of 1.0 in N 0.621 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.621 * [taylor]: Taking taylor expansion of N in N 0.645 * * * [progress]: simplifying candidates 0.646 * [simplify]: Simplifying using # : (log (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (exp (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (* (* (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) 0.650 * * [simplify]: iteration 0 : 198 enodes (cost 498 ) 0.653 * * [simplify]: iteration 1 : 513 enodes (cost 454 ) 0.662 * * [simplify]: iteration 2 : 1617 enodes (cost 445 ) 0.694 * * [simplify]: iteration 3 : 5002 enodes (cost 430 ) 0.696 * [simplify]: Simplified to: (log (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (exp (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 3) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (+ N 1.0) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (+ N 1.0) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (+ N 1.0) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (+ (* (pow N 2) (- (* (pow 1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow 1.0 5)) 1/3) 1/6))) (* (+ (* 0.3333333333333333 N) 1) (pow 1.0 1/3))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (* (pow N 1/6) (pow N 1/6)) (- (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)))) (+ (* (pow N 2) (- (* (pow 1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow 1.0 5)) 1/3) 1/6))) (* (+ (* 0.3333333333333333 N) 1) (pow 1.0 1/3))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (* (pow N 1/6) (pow N 1/6)) (- (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)))) (+ (* (pow N 2) (- (* (pow 1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow 1.0 5)) 1/3) 1/6))) (* (+ (* 0.3333333333333333 N) 1) (pow 1.0 1/3))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (* (pow N 1/6) (pow N 1/6)) (- (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)))) 0.697 * * * [progress]: adding candidates to table 0.880 * * [progress]: iteration 4 / 4 0.880 * * * [progress]: picking best candidate 0.886 * * * * [pick]: Picked # 0.886 * * * [progress]: localizing error 0.903 * * * [progress]: generating rewritten candidates 0.903 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 2 1) 0.907 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.908 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 2) 0.911 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 1) 0.915 * * * [progress]: generating series expansions 0.915 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 2 1) 0.915 * [approximate]: Taking taylor expansion of (pow (- (pow N 2) 1.0) 1/3) in (N) around 0 0.915 * [taylor]: Taking taylor expansion of (pow (- (pow N 2) 1.0) 1/3) in N 0.915 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (pow N 2) 1.0)))) in N 0.915 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (pow N 2) 1.0))) in N 0.915 * [taylor]: Taking taylor expansion of 1/3 in N 0.915 * [taylor]: Taking taylor expansion of (log (- (pow N 2) 1.0)) in N 0.915 * [taylor]: Taking taylor expansion of (- (pow N 2) 1.0) in N 0.915 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.915 * [taylor]: Taking taylor expansion of N in N 0.915 * [taylor]: Taking taylor expansion of 1.0 in N 0.919 * [taylor]: Taking taylor expansion of (pow (- (pow N 2) 1.0) 1/3) in N 0.919 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (pow N 2) 1.0)))) in N 0.919 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (pow N 2) 1.0))) in N 0.919 * [taylor]: Taking taylor expansion of 1/3 in N 0.919 * [taylor]: Taking taylor expansion of (log (- (pow N 2) 1.0)) in N 0.919 * [taylor]: Taking taylor expansion of (- (pow N 2) 1.0) in N 0.919 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.919 * [taylor]: Taking taylor expansion of N in N 0.919 * [taylor]: Taking taylor expansion of 1.0 in N 0.993 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in (N) around 0 0.993 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in N 0.993 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1.0)))) in N 0.993 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1.0))) in N 0.993 * [taylor]: Taking taylor expansion of 1/3 in N 0.993 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1.0)) in N 0.993 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 0.993 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.993 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.993 * [taylor]: Taking taylor expansion of N in N 0.993 * [taylor]: Taking taylor expansion of 1.0 in N 0.994 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in N 0.994 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1.0)))) in N 0.994 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1.0))) in N 0.994 * [taylor]: Taking taylor expansion of 1/3 in N 0.994 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1.0)) in N 0.994 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 0.994 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.994 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.995 * [taylor]: Taking taylor expansion of N in N 0.995 * [taylor]: Taking taylor expansion of 1.0 in N 1.049 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in (N) around 0 1.050 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in N 1.050 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1.0)))) in N 1.050 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1.0))) in N 1.050 * [taylor]: Taking taylor expansion of 1/3 in N 1.050 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1.0)) in N 1.050 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 1.050 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.050 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.050 * [taylor]: Taking taylor expansion of N in N 1.050 * [taylor]: Taking taylor expansion of 1.0 in N 1.051 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in N 1.051 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1.0)))) in N 1.051 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1.0))) in N 1.051 * [taylor]: Taking taylor expansion of 1/3 in N 1.051 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1.0)) in N 1.051 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 1.051 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.051 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.051 * [taylor]: Taking taylor expansion of N in N 1.052 * [taylor]: Taking taylor expansion of 1.0 in N 1.106 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.106 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* (pow (/ (* (- (pow N 2) 1.0) (pow (+ N 1.0) 2)) (- N 1.0)) 1/3) N) 1)) in (N) around 0 1.106 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* (pow (/ (* (- (pow N 2) 1.0) (pow (+ N 1.0) 2)) (- N 1.0)) 1/3) N) 1)) in N 1.107 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* (pow (/ (* (- (pow N 2) 1.0) (pow (+ N 1.0) 2)) (- N 1.0)) 1/3) N) 1)) in N 1.109 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* (pow (/ (* (- (/ 1 (pow N 2)) 1.0) (pow (+ (/ 1 N) 1.0) 2)) (- (/ 1 N) 1.0)) 1/3) (/ 1 N)) 1)) in (N) around 0 1.109 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* (pow (/ (* (- (/ 1 (pow N 2)) 1.0) (pow (+ (/ 1 N) 1.0) 2)) (- (/ 1 N) 1.0)) 1/3) (/ 1 N)) 1)) in N 1.109 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* (pow (/ (* (- (/ 1 (pow N 2)) 1.0) (pow (+ (/ 1 N) 1.0) 2)) (- (/ 1 N) 1.0)) 1/3) (/ 1 N)) 1)) in N 1.111 * [approximate]: Taking taylor expansion of (atan2 1.0 (- 1 (* (/ 1 (* (cbrt -1) N)) (pow (/ (* (pow (- 1.0 (/ 1 N)) 2) (- (/ 1 (pow N 2)) 1.0)) (+ (/ 1 N) 1.0)) 1/3)))) in (N) around 0 1.111 * [taylor]: Taking taylor expansion of (atan2 1.0 (- 1 (* (/ 1 (* (cbrt -1) N)) (pow (/ (* (pow (- 1.0 (/ 1 N)) 2) (- (/ 1 (pow N 2)) 1.0)) (+ (/ 1 N) 1.0)) 1/3)))) in N 1.112 * [taylor]: Taking taylor expansion of (atan2 1.0 (- 1 (* (/ 1 (* (cbrt -1) N)) (pow (/ (* (pow (- 1.0 (/ 1 N)) 2) (- (/ 1 (pow N 2)) 1.0)) (+ (/ 1 N) 1.0)) 1/3)))) in N 1.114 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 2) 1.114 * [approximate]: Taking taylor expansion of (pow (- N 1.0) 1/3) in (N) around 0 1.114 * [taylor]: Taking taylor expansion of (pow (- N 1.0) 1/3) in N 1.114 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- N 1.0)))) in N 1.114 * [taylor]: Taking taylor expansion of (* 1/3 (log (- N 1.0))) in N 1.114 * [taylor]: Taking taylor expansion of 1/3 in N 1.114 * [taylor]: Taking taylor expansion of (log (- N 1.0)) in N 1.115 * [taylor]: Taking taylor expansion of (- N 1.0) in N 1.115 * [taylor]: Taking taylor expansion of N in N 1.115 * [taylor]: Taking taylor expansion of 1.0 in N 1.118 * [taylor]: Taking taylor expansion of (pow (- N 1.0) 1/3) in N 1.118 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- N 1.0)))) in N 1.118 * [taylor]: Taking taylor expansion of (* 1/3 (log (- N 1.0))) in N 1.118 * [taylor]: Taking taylor expansion of 1/3 in N 1.118 * [taylor]: Taking taylor expansion of (log (- N 1.0)) in N 1.118 * [taylor]: Taking taylor expansion of (- N 1.0) in N 1.118 * [taylor]: Taking taylor expansion of N in N 1.118 * [taylor]: Taking taylor expansion of 1.0 in N 1.157 * [approximate]: Taking taylor expansion of (pow (- (/ 1 N) 1.0) 1/3) in (N) around 0 1.157 * [taylor]: Taking taylor expansion of (pow (- (/ 1 N) 1.0) 1/3) in N 1.157 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 N) 1.0)))) in N 1.157 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 N) 1.0))) in N 1.157 * [taylor]: Taking taylor expansion of 1/3 in N 1.157 * [taylor]: Taking taylor expansion of (log (- (/ 1 N) 1.0)) in N 1.157 * [taylor]: Taking taylor expansion of (- (/ 1 N) 1.0) in N 1.157 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.157 * [taylor]: Taking taylor expansion of N in N 1.157 * [taylor]: Taking taylor expansion of 1.0 in N 1.158 * [taylor]: Taking taylor expansion of (pow (- (/ 1 N) 1.0) 1/3) in N 1.158 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 N) 1.0)))) in N 1.158 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 N) 1.0))) in N 1.158 * [taylor]: Taking taylor expansion of 1/3 in N 1.158 * [taylor]: Taking taylor expansion of (log (- (/ 1 N) 1.0)) in N 1.158 * [taylor]: Taking taylor expansion of (- (/ 1 N) 1.0) in N 1.158 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.158 * [taylor]: Taking taylor expansion of N in N 1.159 * [taylor]: Taking taylor expansion of 1.0 in N 1.186 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 N) 1.0) 1/3)) in (N) around 0 1.186 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 N) 1.0) 1/3)) in N 1.186 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.186 * [taylor]: Taking taylor expansion of -1 in N 1.187 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 1.187 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 1.187 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 1.187 * [taylor]: Taking taylor expansion of 1/3 in N 1.187 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.187 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.187 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.187 * [taylor]: Taking taylor expansion of N in N 1.187 * [taylor]: Taking taylor expansion of 1.0 in N 1.188 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 N) 1.0) 1/3)) in N 1.188 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.188 * [taylor]: Taking taylor expansion of -1 in N 1.189 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 1.189 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 1.189 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 1.189 * [taylor]: Taking taylor expansion of 1/3 in N 1.189 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.189 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.189 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.189 * [taylor]: Taking taylor expansion of N in N 1.189 * [taylor]: Taking taylor expansion of 1.0 in N 1.212 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 1) 1.212 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 1.212 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 1.212 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 1.212 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 1.212 * [taylor]: Taking taylor expansion of 1/3 in N 1.212 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.212 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.212 * [taylor]: Taking taylor expansion of N in N 1.212 * [taylor]: Taking taylor expansion of 1.0 in N 1.214 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 1.214 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 1.214 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 1.214 * [taylor]: Taking taylor expansion of 1/3 in N 1.214 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.214 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.214 * [taylor]: Taking taylor expansion of N in N 1.214 * [taylor]: Taking taylor expansion of 1.0 in N 1.247 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 1.247 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 1.247 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 1.247 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 1.247 * [taylor]: Taking taylor expansion of 1/3 in N 1.247 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.247 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.247 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.247 * [taylor]: Taking taylor expansion of N in N 1.247 * [taylor]: Taking taylor expansion of 1.0 in N 1.248 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 1.248 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 1.248 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 1.248 * [taylor]: Taking taylor expansion of 1/3 in N 1.248 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.248 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.248 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.248 * [taylor]: Taking taylor expansion of N in N 1.249 * [taylor]: Taking taylor expansion of 1.0 in N 1.273 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 1.273 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 1.273 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 1.273 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 1.273 * [taylor]: Taking taylor expansion of 1/3 in N 1.273 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.273 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.273 * [taylor]: Taking taylor expansion of 1.0 in N 1.273 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.273 * [taylor]: Taking taylor expansion of N in N 1.275 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 1.275 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 1.275 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 1.275 * [taylor]: Taking taylor expansion of 1/3 in N 1.276 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.276 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.276 * [taylor]: Taking taylor expansion of 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 1.300 * * * [progress]: simplifying candidates 1.301 * [simplify]: Simplifying using # : (log (cbrt (- (* N N) (* 1.0 1.0)))) (exp (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt 1) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (+ N 1.0)) (cbrt (- N 1.0)) (cbrt (- (pow (* N N) 3) (pow (* 1.0 1.0) 3))) (cbrt (+ (* (* N N) (* N N)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* N N) (* 1.0 1.0))))) (cbrt (- (* (* N N) (* N N)) (* (* 1.0 1.0) (* 1.0 1.0)))) (cbrt (+ (* N N) (* 1.0 1.0))) (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (* (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- (* N N) (* 1.0 1.0)))) (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (log (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (exp (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (* (* (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N)))) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (log (cbrt (- N 1.0))) (exp (cbrt (- N 1.0))) (cbrt (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (cbrt (cbrt (- N 1.0))) (cbrt (sqrt (- N 1.0))) (cbrt (sqrt (- N 1.0))) (cbrt 1) (cbrt (- N 1.0)) (cbrt (+ (sqrt N) (sqrt 1.0))) (cbrt (- (sqrt N) (sqrt 1.0))) (cbrt 1) (cbrt (- N 1.0)) (cbrt (- (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (+ (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (+ N 1.0)) (* (cbrt (cbrt (- N 1.0))) (cbrt (cbrt (- N 1.0)))) (cbrt (cbrt (- N 1.0))) (* (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (cbrt (- N 1.0))) (sqrt (cbrt (- N 1.0))) (sqrt (cbrt (- N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (- (+ (* 0.05555555555555555 (* (pow N 4) (pow -1.0 1/3))) (pow (- 1.0) 1/3)) (+ (* 1/6 (* (pow N 4) (pow (/ 1 (pow -1.0 5)) 1/3))) (* 0.3333333333333333 (* (pow N 2) (pow -1.0 1/3))))) (- (pow (/ 1 N) -2/3) (+ (* 0.3333333333333333 (pow (/ 1 (pow N 4)) 1/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 10)) 1/3)))) (- (pow (/ -1 N) -2/3) (+ (* 0.3333333333333333 (pow (/ 1 (pow N 4)) 1/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 10)) 1/3)))) (atan2 1.0 (+ (* (pow (/ (* (- (pow N 2) 1.0) (pow (+ N 1.0) 2)) (- N 1.0)) 1/3) N) 1)) (atan2 1.0 (+ (* (pow (/ (* (- (pow N 2) 1.0) (pow (+ N 1.0) 2)) (- N 1.0)) 1/3) N) 1)) (atan2 1.0 (+ (* (pow (/ (* (- (pow N 2) 1.0) (pow (+ N 1.0) 2)) (- 1.0 N)) 1/3) (/ N (cbrt -1))) 1)) (- (+ (pow (- 1.0) 1/3) (* 0.05555555555555555 (* (pow N 2) (pow -1.0 1/3)))) (+ (* 0.3333333333333333 (* N (pow -1.0 1/3))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow -1.0 5)) 1/3))))) (- (pow (/ 1 N) -1/3) (+ (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3)) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)))) (- (* (pow (* -1 N) 1/3) (cbrt -1)) (+ (* 0.1111111111111111 (* (pow (/ -1 (pow N 5)) 1/3) (cbrt -1))) (* 0.3333333333333333 (* (pow (/ -1 (pow N 2)) 1/3) (cbrt -1))))) (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) 1.307 * * [simplify]: iteration 0 : 481 enodes (cost 606 ) 1.315 * * [simplify]: iteration 1 : 1462 enodes (cost 551 ) 1.341 * * [simplify]: iteration 2 : 5001 enodes (cost 537 ) 1.344 * [simplify]: Simplified to: (log (cbrt (- (* N N) (* 1.0 1.0)))) (exp (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt 1) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (+ N 1.0)) (cbrt (- N 1.0)) (cbrt (- (pow (* N N) 3) (pow (* 1.0 1.0) 3))) (cbrt (+ (* (* N N) (* N N)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* N N) (* 1.0 1.0))))) (cbrt (- (* (* N N) (* N N)) (* (* 1.0 1.0) (* 1.0 1.0)))) (cbrt (+ (* N N) (* 1.0 1.0))) (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (- (* N N) (* 1.0 1.0)) (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (log (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (exp (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (pow (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N)))) 3) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (log (cbrt (- N 1.0))) (exp (cbrt (- N 1.0))) (cbrt (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (cbrt (cbrt (- N 1.0))) (cbrt (sqrt (- N 1.0))) (cbrt (sqrt (- N 1.0))) (cbrt 1) (cbrt (- N 1.0)) (cbrt (+ (sqrt N) (sqrt 1.0))) (cbrt (- (sqrt N) (sqrt 1.0))) (cbrt 1) (cbrt (- N 1.0)) (cbrt (- (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (+ (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (+ N 1.0)) (* (cbrt (cbrt (- N 1.0))) (cbrt (cbrt (- N 1.0)))) (cbrt (cbrt (- N 1.0))) (- N 1.0) (sqrt (cbrt (- N 1.0))) (sqrt (cbrt (- N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (+ N 1.0) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (+ (- (* (pow N 4) (- (* (pow -1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow -1.0 5)) 1/3) 1/6))) (* 0.3333333333333333 (* (pow N 2) (pow -1.0 1/3)))) (pow (- 1.0) 1/3)) (- (pow (/ 1 N) -2/3) (+ (* 0.3333333333333333 (pow (/ 1 (pow N 4)) 1/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 10)) 1/3)))) (- (pow (/ -1 N) -2/3) (+ (* 0.3333333333333333 (pow (/ 1 (pow N 4)) 1/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 10)) 1/3)))) (atan2 1.0 (+ (* (pow (/ (* (- (pow N 2) 1.0) (pow (+ N 1.0) 2)) (- N 1.0)) 1/3) N) 1)) (atan2 1.0 (+ (* (pow (/ (* (- (pow N 2) 1.0) (pow (+ N 1.0) 2)) (- N 1.0)) 1/3) N) 1)) (atan2 1.0 (+ (* (pow (/ (* (- (pow N 2) 1.0) (pow (+ N 1.0) 2)) (- 1.0 N)) 1/3) (/ N (cbrt -1))) 1)) (- (+ (pow (- 1.0) 1/3) (* (pow N 2) (- (* (pow -1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow -1.0 5)) 1/3) 1/6)))) (* 0.3333333333333333 (* N (pow -1.0 1/3)))) (- (pow (/ 1 N) -1/3) (+ (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3)) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)))) (* (cbrt -1) (- (- (pow (* -1 N) 1/3) (* 0.1111111111111111 (pow (/ -1 (pow N 5)) 1/3))) (* 0.3333333333333333 (pow (/ -1 (pow N 2)) 1/3)))) (+ (* (pow N 2) (- (* (pow 1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow 1.0 5)) 1/3) 1/6))) (* (+ (* 0.3333333333333333 N) 1) (pow 1.0 1/3))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) 1.345 * * * [progress]: adding candidates to table 1.593 * [progress]: [Phase 3 of 3] Extracting. 1.594 * * [regime]: Finding splitpoints for: (# # # # #) 1.595 * * * [regime-changes]: Trying 1 branch expressions: (N) 1.595 * * * * [regimes]: Trying to branch on N from (# # # # #) 1.616 * * * [regime]: Found split indices: #