8.986 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.028 * * * [progress]: [2/2] Setting up program. 0.031 * [progress]: [Phase 2 of 3] Improving. 0.031 * [simplify]: Simplifying using # : (- (atan (+ N 1.0)) (atan N)) 0.035 * * [simplify]: iteration 0 : 71 enodes (cost 7 ) 0.035 * * [simplify]: iteration 1 : 71 enodes (cost 7 ) 0.035 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.036 * * [progress]: iteration 1 / 4 0.036 * * * [progress]: picking best candidate 0.038 * * * * [pick]: Picked # 0.038 * * * [progress]: localizing error 0.047 * * * [progress]: generating rewritten candidates 0.047 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.051 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.052 * * * [progress]: generating series expansions 0.052 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.053 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.053 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.053 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.053 * [taylor]: Taking taylor expansion of (atan N) in N 0.053 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.053 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.053 * [taylor]: Taking taylor expansion of (atan N) in N 0.053 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.053 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.053 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.054 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.054 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.054 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.054 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.054 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.054 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.054 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.054 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.054 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.054 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.054 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.055 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.055 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.055 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.055 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.055 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.055 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.055 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.055 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.055 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.055 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.056 * * * [progress]: simplifying candidates 0.056 * [simplify]: Simplifying using # : (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)) (/ (exp (atan (+ N 1.0))) (exp (atan N))) (log (- (atan (+ N 1.0)) (atan N))) (exp (- (atan (+ N 1.0)) (atan N))) (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N)))) (cbrt (- (atan (+ N 1.0)) (atan N))) (* (* (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N))) (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1.0)) (atan (+ N 1.0))) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (atan N)))) (neg (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (atan (+ N 1.0)) (atan N)) (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)) 0.120 * * [simplify]: iteration 0 : 5349 enodes (cost 236 ) 0.122 * [simplify]: Simplified to: 1.0 (+ 1 (* N (+ N 1.0))) (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) (atan N)) (* (atan (+ N 1.0)) (+ (atan (+ N 1.0)) (atan N)))) (neg (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (atan (+ N 1.0)) (atan N)) (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)) 0.122 * * * [progress]: adding candidates to table 0.154 * * [progress]: iteration 2 / 4 0.154 * * * [progress]: picking best candidate 0.156 * * * * [pick]: Picked # 0.156 * * * [progress]: localizing error 0.162 * * * [progress]: generating rewritten candidates 0.162 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.163 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.169 * * * [progress]: generating series expansions 0.169 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.169 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.169 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.169 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.170 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.170 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.170 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.171 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.171 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.171 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.171 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.171 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 0.171 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.171 * [taylor]: Taking taylor expansion of N in N 0.171 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.171 * [taylor]: Taking taylor expansion of N in N 0.171 * [taylor]: Taking taylor expansion of 1.0 in N 0.171 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.171 * [taylor]: Taking taylor expansion of N in N 0.171 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.172 * [taylor]: Taking taylor expansion of N in N 0.172 * [taylor]: Taking taylor expansion of 1.0 in N 0.172 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 0.172 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.172 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.172 * [taylor]: Taking taylor expansion of N in N 0.172 * [taylor]: Taking taylor expansion of 1.0 in N 0.172 * [taylor]: Taking taylor expansion of N in N 0.172 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.172 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.172 * [taylor]: Taking taylor expansion of N in N 0.173 * [taylor]: Taking taylor expansion of 1.0 in N 0.173 * [taylor]: Taking taylor expansion of N in N 0.174 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 0.174 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.174 * [taylor]: Taking taylor expansion of -1 in N 0.174 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.174 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.174 * [taylor]: Taking taylor expansion of 1.0 in N 0.174 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.174 * [taylor]: Taking taylor expansion of N in N 0.174 * [taylor]: Taking taylor expansion of N in N 0.174 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.174 * [taylor]: Taking taylor expansion of -1 in N 0.174 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.174 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.174 * [taylor]: Taking taylor expansion of 1.0 in N 0.174 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.174 * [taylor]: Taking taylor expansion of N in N 0.174 * [taylor]: Taking taylor expansion of N in N 0.176 * * * [progress]: simplifying candidates 0.176 * [simplify]: Simplifying using # : (log (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (exp (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (* (cbrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (cbrt (atan2 1.0 (+ 1 (* N (+ N 1.0)))))) (cbrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (* (* (atan2 1.0 (+ 1 (* N (+ N 1.0)))) (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (sqrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (sqrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (* N (+ N 1.0)) (+ (log N) (log (+ N 1.0))) (log (* N (+ N 1.0))) (exp (* N (+ N 1.0))) (* (* (* N N) N) (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0))) (* (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0)))) (cbrt (* N (+ N 1.0))) (* (* (* N (+ N 1.0)) (* N (+ N 1.0))) (* N (+ N 1.0))) (sqrt (* N (+ N 1.0))) (sqrt (* N (+ N 1.0))) (* (sqrt N) (sqrt (+ N 1.0))) (* (sqrt N) (sqrt (+ N 1.0))) (* N N) (* N 1.0) (* N N) (* 1.0 N) (* N (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* N (sqrt (+ N 1.0))) (* N 1) (* N 1) (* (cbrt N) (+ N 1.0)) (* (sqrt N) (+ N 1.0)) (* N (+ N 1.0)) (* N (+ (pow N 3) (pow 1.0 3))) (* N (- (* N N) (* 1.0 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) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) 0.236 * * [simplify]: iteration 0 : 4907 enodes (cost 272 ) 0.236 * * [simplify]: iteration 1 : 4907 enodes (cost 272 ) 0.238 * [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))) (pow (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) (sqrt (+ 1.0 N))) (* (sqrt N) (sqrt (+ 1.0 N))) (* N N) (* 1.0 N) (* N N) (* 1.0 N) (* N (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (* N (sqrt (+ 1.0 N))) N N (* (+ 1.0 N) (cbrt N)) (* (+ 1.0 N) (sqrt N)) (* N (+ 1.0 N)) (+ (pow N 4) (* N (pow 1.0 3))) (- (pow N 3) (* 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)) 0.238 * * * [progress]: adding candidates to table 0.287 * * [progress]: iteration 3 / 4 0.287 * * * [progress]: picking best candidate 0.306 * * * * [pick]: Picked # 0.306 * * * [progress]: localizing error 0.317 * * * [progress]: generating rewritten candidates 0.317 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 0.321 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 0.325 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 0.330 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.331 * * * [progress]: generating series expansions 0.331 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 0.331 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.331 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.331 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.331 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.331 * [taylor]: Taking taylor expansion of 1/3 in N 0.331 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.331 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.331 * [taylor]: Taking taylor expansion of N in N 0.331 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.331 * [taylor]: Taking taylor expansion of N in N 0.331 * [taylor]: Taking taylor expansion of 1.0 in N 0.331 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.331 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.331 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.331 * [taylor]: Taking taylor expansion of 1/3 in N 0.331 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.332 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.332 * [taylor]: Taking taylor expansion of N in N 0.332 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.332 * [taylor]: Taking taylor expansion of N in N 0.332 * [taylor]: Taking taylor expansion of 1.0 in N 0.333 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.333 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.333 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.333 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.333 * [taylor]: Taking taylor expansion of 1/3 in N 0.333 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.334 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.334 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.334 * [taylor]: Taking taylor expansion of N in N 0.334 * [taylor]: Taking taylor expansion of 1.0 in N 0.334 * [taylor]: Taking taylor expansion of N in N 0.334 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.334 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.334 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.334 * [taylor]: Taking taylor expansion of 1/3 in N 0.334 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.334 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.334 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.334 * [taylor]: Taking taylor expansion of N in N 0.334 * [taylor]: Taking taylor expansion of 1.0 in N 0.334 * [taylor]: Taking taylor expansion of N in N 0.336 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.336 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.336 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.336 * [taylor]: Taking taylor expansion of -1 in N 0.336 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.336 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.336 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.336 * [taylor]: Taking taylor expansion of 1/3 in N 0.336 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.336 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.336 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.336 * [taylor]: Taking taylor expansion of 1.0 in N 0.336 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.336 * [taylor]: Taking taylor expansion of N in N 0.337 * [taylor]: Taking taylor expansion of N in N 0.337 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.337 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.337 * [taylor]: Taking taylor expansion of -1 in N 0.337 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.337 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.337 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.337 * [taylor]: Taking taylor expansion of 1/3 in N 0.337 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.337 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.337 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.337 * [taylor]: Taking taylor expansion of 1.0 in N 0.337 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.337 * [taylor]: Taking taylor expansion of N in N 0.337 * [taylor]: Taking taylor expansion of N in N 0.341 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 0.341 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.341 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.341 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.341 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.341 * [taylor]: Taking taylor expansion of 1/3 in N 0.341 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.341 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.341 * [taylor]: Taking taylor expansion of N in N 0.341 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.341 * [taylor]: Taking taylor expansion of N in N 0.341 * [taylor]: Taking taylor expansion of 1.0 in N 0.341 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.341 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.341 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.341 * [taylor]: Taking taylor expansion of 1/3 in N 0.341 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.341 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.341 * [taylor]: Taking taylor expansion of N in N 0.341 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.341 * [taylor]: Taking taylor expansion of N in N 0.341 * [taylor]: Taking taylor expansion of 1.0 in N 0.343 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.343 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.343 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.343 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.343 * [taylor]: Taking taylor expansion of 1/3 in N 0.343 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.343 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.343 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.343 * [taylor]: Taking taylor expansion of N in N 0.343 * [taylor]: Taking taylor expansion of 1.0 in N 0.343 * [taylor]: Taking taylor expansion of N in N 0.343 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.343 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.343 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.343 * [taylor]: Taking taylor expansion of 1/3 in N 0.343 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.343 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.344 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.344 * [taylor]: Taking taylor expansion of N in N 0.344 * [taylor]: Taking taylor expansion of 1.0 in N 0.344 * [taylor]: Taking taylor expansion of N in N 0.345 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.345 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.345 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.345 * [taylor]: Taking taylor expansion of -1 in N 0.345 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.345 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.346 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.346 * [taylor]: Taking taylor expansion of 1/3 in N 0.346 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.346 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.346 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.346 * [taylor]: Taking taylor expansion of 1.0 in N 0.346 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.346 * [taylor]: Taking taylor expansion of N in N 0.346 * [taylor]: Taking taylor expansion of N in N 0.346 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.346 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.346 * [taylor]: Taking taylor expansion of -1 in N 0.346 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.346 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.346 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.346 * [taylor]: Taking taylor expansion of 1/3 in N 0.346 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.346 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.346 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.346 * [taylor]: Taking taylor expansion of 1.0 in N 0.346 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.346 * [taylor]: Taking taylor expansion of N in N 0.346 * [taylor]: Taking taylor expansion of N in N 0.349 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 0.349 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.349 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.349 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.349 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.349 * [taylor]: Taking taylor expansion of 1/3 in N 0.349 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.349 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.349 * [taylor]: Taking taylor expansion of N in N 0.349 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.350 * [taylor]: Taking taylor expansion of N in N 0.350 * [taylor]: Taking taylor expansion of 1.0 in N 0.350 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.350 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.350 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.350 * [taylor]: Taking taylor expansion of 1/3 in N 0.350 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.350 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.350 * [taylor]: Taking taylor expansion of N in N 0.350 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.350 * [taylor]: Taking taylor expansion of N in N 0.350 * [taylor]: Taking taylor expansion of 1.0 in N 0.352 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.352 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.352 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.352 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.352 * [taylor]: Taking taylor expansion of 1/3 in N 0.352 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.352 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.352 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.352 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.352 * [taylor]: Taking taylor expansion of N in N 0.352 * [taylor]: Taking taylor expansion of 1.0 in N 0.352 * [taylor]: Taking taylor expansion of N in N 0.352 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.352 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.352 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.352 * [taylor]: Taking taylor expansion of 1/3 in N 0.352 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.352 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.352 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.352 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.352 * [taylor]: Taking taylor expansion of N in N 0.352 * [taylor]: Taking taylor expansion of 1.0 in N 0.352 * [taylor]: Taking taylor expansion of N in N 0.354 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.354 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.354 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.354 * [taylor]: Taking taylor expansion of -1 in N 0.354 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.354 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.354 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.354 * [taylor]: Taking taylor expansion of 1/3 in N 0.354 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.354 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.354 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.354 * [taylor]: Taking taylor expansion of 1.0 in N 0.354 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.354 * [taylor]: Taking taylor expansion of N in N 0.354 * [taylor]: Taking taylor expansion of N in N 0.354 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.355 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.355 * [taylor]: Taking taylor expansion of -1 in N 0.355 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.355 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.355 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.355 * [taylor]: Taking taylor expansion of 1/3 in N 0.355 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.355 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.355 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.355 * [taylor]: Taking taylor expansion of 1.0 in N 0.355 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.355 * [taylor]: Taking taylor expansion of N in N 0.355 * [taylor]: Taking taylor expansion of N in N 0.358 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.358 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.358 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.358 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.359 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.359 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.359 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.360 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in (N) around 0 0.360 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in N 0.360 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in N 0.361 * * * [progress]: simplifying candidates 0.362 * [simplify]: Simplifying using # : (log (cbrt (* N (+ 1.0 N)))) (exp (cbrt (* N (+ 1.0 N)))) (cbrt N) (cbrt (+ 1.0 N)) (cbrt (* N (+ (pow 1.0 3) (pow N 3)))) (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (cbrt (* N (- (* 1.0 1.0) (* N N)))) (cbrt (- 1.0 N)) (* (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) (cbrt (+ 1.0 N)) (cbrt (* N (+ (pow 1.0 3) (pow N 3)))) (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (cbrt (* N (- (* 1.0 1.0) (* N N)))) (cbrt (- 1.0 N)) (* (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) (cbrt (+ 1.0 N)) (cbrt (* N (+ (pow 1.0 3) (pow N 3)))) (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (cbrt (* N (- (* 1.0 1.0) (* N N)))) (cbrt (- 1.0 N)) (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N))))) (cbrt (cbrt (* N (+ 1.0 N)))) (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N)))) (log (atan2 1.0 (+ 1 (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N))))))) (exp (atan2 1.0 (+ 1 (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N))))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N))))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N)))))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N))))))) (* (* (atan2 1.0 (+ 1 (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N)))))) (atan2 1.0 (+ 1 (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N))))))) (atan2 1.0 (+ 1 (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N))))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N))))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N))))))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (pow N 2)))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (pow N 2)))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (pow N 2)))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.398 * * [simplify]: iteration 0 : 4927 enodes (cost 595 ) 0.398 * * [simplify]: iteration 1 : 4927 enodes (cost 595 ) 0.401 * [simplify]: Simplified to: (log (cbrt (* N (+ N 1.0)))) (exp (cbrt (* N (+ N 1.0)))) (cbrt N) (cbrt (+ N 1.0)) (cbrt (+ (* N (pow 1.0 3)) (pow N 4))) (cbrt (+ (* 1.0 1.0) (* N (- N 1.0)))) (cbrt (- (* N (* 1.0 1.0)) (pow N 3))) (cbrt (- 1.0 N)) (* (cbrt (cbrt (* N (+ N 1.0)))) (cbrt (cbrt (* N (+ N 1.0))))) (cbrt (cbrt (* N (+ N 1.0)))) (* N (+ N 1.0)) (sqrt (cbrt (* N (+ N 1.0)))) (sqrt (cbrt (* N (+ N 1.0)))) (log (cbrt (* N (+ N 1.0)))) (exp (cbrt (* N (+ N 1.0)))) (cbrt N) (cbrt (+ N 1.0)) (cbrt (+ (* N (pow 1.0 3)) (pow N 4))) (cbrt (+ (* 1.0 1.0) (* N (- N 1.0)))) (cbrt (- (* N (* 1.0 1.0)) (pow N 3))) (cbrt (- 1.0 N)) (* (cbrt (cbrt (* N (+ N 1.0)))) (cbrt (cbrt (* N (+ N 1.0))))) (cbrt (cbrt (* N (+ N 1.0)))) (* N (+ N 1.0)) (sqrt (cbrt (* N (+ N 1.0)))) (sqrt (cbrt (* N (+ N 1.0)))) (log (cbrt (* N (+ N 1.0)))) (exp (cbrt (* N (+ N 1.0)))) (cbrt N) (cbrt (+ N 1.0)) (cbrt (+ (* N (pow 1.0 3)) (pow N 4))) (cbrt (+ (* 1.0 1.0) (* N (- N 1.0)))) (cbrt (- (* N (* 1.0 1.0)) (pow N 3))) (cbrt (- 1.0 N)) (* (cbrt (cbrt (* N (+ N 1.0)))) (cbrt (cbrt (* N (+ N 1.0))))) (cbrt (cbrt (* N (+ N 1.0)))) (* N (+ N 1.0)) (sqrt (cbrt (* N (+ N 1.0)))) (sqrt (cbrt (* N (+ N 1.0)))) (log (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (exp (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (* (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (pow (atan2 1.0 (+ (* N (+ N 1.0)) 1)) 3) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (+ (* (+ (* N 0.3333333333333333) 1) (cbrt (* N 1.0))) (* (* N (* N (cbrt (* N 1.0)))) (- 0.05555555555555555 (/ 1/6 (* 1.0 1.0))))) (+ (pow N 2/3) (* (/ (pow N 2/3) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (* (cbrt -1) (cbrt (* N (neg N)))) (* (* (cbrt (* N (neg N))) (/ (cbrt -1) N)) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (* (+ (* N 0.3333333333333333) 1) (cbrt (* N 1.0))) (* (* N (* N (cbrt (* N 1.0)))) (- 0.05555555555555555 (/ 1/6 (* 1.0 1.0))))) (+ (pow N 2/3) (* (/ (pow N 2/3) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (* (cbrt -1) (cbrt (* N (neg N)))) (* (* (cbrt (* N (neg N))) (/ (cbrt -1) N)) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (* (+ (* N 0.3333333333333333) 1) (cbrt (* N 1.0))) (* (* N (* N (cbrt (* N 1.0)))) (- 0.05555555555555555 (/ 1/6 (* 1.0 1.0))))) (+ (pow N 2/3) (* (/ (pow N 2/3) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (* (cbrt -1) (cbrt (* N (neg N)))) (* (* (cbrt (* N (neg N))) (/ (cbrt -1) N)) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (atan2 1.0 (+ (* N (+ N 1.0)) 1)) (atan2 1.0 (+ (* N (+ N 1.0)) 1)) (atan2 1.0 (+ (* N (+ N 1.0)) 1)) 0.401 * * * [progress]: adding candidates to table 0.520 * * [progress]: iteration 4 / 4 0.520 * * * [progress]: picking best candidate 0.537 * * * * [pick]: Picked # 0.537 * * * [progress]: localizing error 0.549 * * * [progress]: generating rewritten candidates 0.549 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.550 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2) 0.553 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 1) 0.556 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2) 0.559 * * * [progress]: generating series expansions 0.559 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.560 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.560 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.560 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.560 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.560 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.561 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.561 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.561 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.561 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.562 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2) 0.562 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 0.562 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.562 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.562 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.562 * [taylor]: Taking taylor expansion of 1/3 in N 0.562 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.562 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.562 * [taylor]: Taking taylor expansion of N in N 0.562 * [taylor]: Taking taylor expansion of 1.0 in N 0.562 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.562 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.562 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.562 * [taylor]: Taking taylor expansion of 1/3 in N 0.562 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.562 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.562 * [taylor]: Taking taylor expansion of N in N 0.562 * [taylor]: Taking taylor expansion of 1.0 in N 0.564 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 0.564 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.564 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.564 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.564 * [taylor]: Taking taylor expansion of 1/3 in N 0.564 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.564 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.564 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.564 * [taylor]: Taking taylor expansion of N in N 0.564 * [taylor]: Taking taylor expansion of 1.0 in N 0.564 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.564 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.564 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.564 * [taylor]: Taking taylor expansion of 1/3 in N 0.564 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.564 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.564 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.564 * [taylor]: Taking taylor expansion of N in N 0.564 * [taylor]: Taking taylor expansion of 1.0 in N 0.566 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 0.566 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.566 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.566 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.566 * [taylor]: Taking taylor expansion of 1/3 in N 0.566 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.566 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.566 * [taylor]: Taking taylor expansion of 1.0 in N 0.566 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.566 * [taylor]: Taking taylor expansion of N in N 0.566 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.566 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.566 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.566 * [taylor]: Taking taylor expansion of 1/3 in N 0.566 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.566 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.566 * [taylor]: Taking taylor expansion of 1.0 in N 0.566 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.566 * [taylor]: Taking taylor expansion of N in N 0.568 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 1) 0.568 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 0.568 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.568 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.568 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.568 * [taylor]: Taking taylor expansion of 1/3 in N 0.568 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.568 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.568 * [taylor]: Taking taylor expansion of N in N 0.568 * [taylor]: Taking taylor expansion of 1.0 in N 0.568 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.568 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.568 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.568 * [taylor]: Taking taylor expansion of 1/3 in N 0.568 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.568 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.568 * [taylor]: Taking taylor expansion of N in N 0.568 * [taylor]: Taking taylor expansion of 1.0 in N 0.571 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 0.571 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.571 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.571 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.571 * [taylor]: Taking taylor expansion of 1/3 in N 0.571 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.571 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.571 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.571 * [taylor]: Taking taylor expansion of N in N 0.571 * [taylor]: Taking taylor expansion of 1.0 in N 0.572 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.572 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.572 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.572 * [taylor]: Taking taylor expansion of 1/3 in N 0.572 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.572 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.572 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.572 * [taylor]: Taking taylor expansion of N in N 0.572 * [taylor]: Taking taylor expansion of 1.0 in N 0.573 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 0.573 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.573 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.573 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.573 * [taylor]: Taking taylor expansion of 1/3 in N 0.573 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.573 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.573 * [taylor]: Taking taylor expansion of 1.0 in N 0.573 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.573 * [taylor]: Taking taylor expansion of N in N 0.574 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.574 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.574 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.574 * [taylor]: Taking taylor expansion of 1/3 in N 0.574 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.574 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.574 * [taylor]: Taking taylor expansion of 1.0 in N 0.574 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.574 * [taylor]: Taking taylor expansion of N in N 0.575 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2) 0.575 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 0.575 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.575 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.576 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.576 * [taylor]: Taking taylor expansion of 1/3 in N 0.576 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.576 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.576 * [taylor]: Taking taylor expansion of N in N 0.576 * [taylor]: Taking taylor expansion of 1.0 in N 0.576 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.576 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.576 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.576 * [taylor]: Taking taylor expansion of 1/3 in N 0.576 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.576 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.576 * [taylor]: Taking taylor expansion of N in N 0.576 * [taylor]: Taking taylor expansion of 1.0 in N 0.577 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 0.577 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.577 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.577 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.577 * [taylor]: Taking taylor expansion of 1/3 in N 0.577 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.577 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.577 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.577 * [taylor]: Taking taylor expansion of N in N 0.577 * [taylor]: Taking taylor expansion of 1.0 in N 0.577 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.578 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.578 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.578 * [taylor]: Taking taylor expansion of 1/3 in N 0.578 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.578 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.578 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.578 * [taylor]: Taking taylor expansion of N in N 0.578 * [taylor]: Taking taylor expansion of 1.0 in N 0.579 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 0.579 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.579 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.579 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.579 * [taylor]: Taking taylor expansion of 1/3 in N 0.579 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.579 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.579 * [taylor]: Taking taylor expansion of 1.0 in N 0.579 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.579 * [taylor]: Taking taylor expansion of N in N 0.579 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.579 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.580 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.580 * [taylor]: Taking taylor expansion of 1/3 in N 0.580 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.580 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.580 * [taylor]: Taking taylor expansion of 1.0 in N 0.580 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.580 * [taylor]: Taking taylor expansion of N in N 0.581 * * * [progress]: simplifying candidates 0.582 * [simplify]: Simplifying using # : (log (atan2 1.0 (+ 1 (* (* N (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (+ N 1.0)))))) (exp (atan2 1.0 (+ 1 (* (* N (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (+ N 1.0)))))) (* (cbrt (atan2 1.0 (+ 1 (* (* N (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (+ N 1.0)))))) (cbrt (atan2 1.0 (+ 1 (* (* N (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (+ N 1.0))))))) (cbrt (atan2 1.0 (+ 1 (* (* N (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (+ N 1.0)))))) (* (* (atan2 1.0 (+ 1 (* (* N (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (+ N 1.0))))) (atan2 1.0 (+ 1 (* (* N (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (+ N 1.0)))))) (atan2 1.0 (+ 1 (* (* N (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (+ N 1.0)))))) (sqrt (atan2 1.0 (+ 1 (* (* N (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (+ N 1.0)))))) (sqrt (atan2 1.0 (+ 1 (* (* N (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (+ N 1.0)))))) (log (cbrt (+ 1.0 N))) (exp (cbrt (+ 1.0 N))) (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (cbrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) (cbrt 1) (cbrt (+ 1.0 N)) (cbrt 1) (cbrt (+ 1.0 N)) (cbrt (+ (pow 1.0 3) (pow N 3))) (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (cbrt (- (* 1.0 1.0) (* N N))) (cbrt (- 1.0 N)) (* (cbrt (cbrt (+ 1.0 N))) (cbrt (cbrt (+ 1.0 N)))) (cbrt (cbrt (+ 1.0 N))) (* (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (cbrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N))) (log (cbrt (+ 1.0 N))) (exp (cbrt (+ 1.0 N))) (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (cbrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) (cbrt 1) (cbrt (+ 1.0 N)) (cbrt 1) (cbrt (+ 1.0 N)) (cbrt (+ (pow 1.0 3) (pow N 3))) (cbrt (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (cbrt (- (* 1.0 1.0) (* N N))) (cbrt (- 1.0 N)) (* (cbrt (cbrt (+ 1.0 N))) (cbrt (cbrt (+ 1.0 N)))) (cbrt (cbrt (+ 1.0 N))) (* (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (cbrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N))) (sqrt (cbrt (+ 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))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (pow N 2)))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N)))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N))))) (pow N 2)))) (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (pow N 2)))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N)))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N))))) (pow N 2)))) (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (pow N 2)))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N)))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log (neg 1)) (log (/ -1 N))))) (pow N 2)))) 0.626 * * [simplify]: iteration 0 : 4912 enodes (cost 574 ) 0.626 * * [simplify]: iteration 1 : 4912 enodes (cost 574 ) 0.629 * [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))))) (log (cbrt (+ 1.0 N))) (exp (cbrt (+ 1.0 N))) (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (cbrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) 1 (cbrt (+ 1.0 N)) 1 (cbrt (+ 1.0 N)) (cbrt (+ (pow 1.0 3) (pow N 3))) (cbrt (+ (* 1.0 1.0) (* N (- N 1.0)))) (cbrt (- (* 1.0 1.0) (* N N))) (cbrt (- 1.0 N)) (* (cbrt (cbrt (+ 1.0 N))) (cbrt (cbrt (+ 1.0 N)))) (cbrt (cbrt (+ 1.0 N))) (+ 1.0 N) (sqrt (cbrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N))) (log (cbrt (+ 1.0 N))) (exp (cbrt (+ 1.0 N))) (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (cbrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) 1 (cbrt (+ 1.0 N)) 1 (cbrt (+ 1.0 N)) (cbrt (+ (pow 1.0 3) (pow N 3))) (cbrt (+ (* 1.0 1.0) (* N (- N 1.0)))) (cbrt (- (* 1.0 1.0) (* N N))) (cbrt (- 1.0 N)) (* (cbrt (cbrt (+ 1.0 N))) (cbrt (cbrt (+ 1.0 N)))) (cbrt (cbrt (+ 1.0 N))) (+ 1.0 N) (sqrt (cbrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N))) (log (cbrt (+ 1.0 N))) (exp (cbrt (+ 1.0 N))) (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (cbrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) 1 (cbrt (+ 1.0 N)) 1 (cbrt (+ 1.0 N)) (cbrt (+ (pow 1.0 3) (pow N 3))) (cbrt (+ (* 1.0 1.0) (* N (- N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ 1.0 N))) (cbrt (cbrt (+ 1.0 N)))) (cbrt (cbrt (+ 1.0 N))) (+ 1.0 N) (sqrt (cbrt (+ 1.0 N))) (sqrt (cbrt (+ 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)))) (+ (* (cbrt 1.0) (+ 1 (* N (+ 0.3333333333333333 (* N 0.05555555555555555))))) (* N (* -1/6 (* N (cbrt (/ 1 (pow 1.0 5))))))) (+ (cbrt N) (* (/ (cbrt N) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (cbrt N) (* (/ (cbrt N) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (* (cbrt 1.0) (+ 1 (* N (+ 0.3333333333333333 (* N 0.05555555555555555))))) (* N (* -1/6 (* N (cbrt (/ 1 (pow 1.0 5))))))) (+ (cbrt N) (* (/ (cbrt N) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (cbrt N) (* (/ (cbrt N) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (* (cbrt 1.0) (+ 1 (* N (+ 0.3333333333333333 (* N 0.05555555555555555))))) (* N (* -1/6 (* N (cbrt (/ 1 (pow 1.0 5))))))) (+ (cbrt N) (* (/ (cbrt N) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (cbrt N) (* (/ (cbrt N) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) 0.629 * * * [progress]: adding candidates to table 0.741 * [progress]: [Phase 3 of 3] Extracting. 0.741 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 0.742 * * * [regime-changes]: Trying 2 branch expressions: ((- (atan (+ N 1.0)) (atan N)) N) 0.742 * * * * [regimes]: Trying to branch on (- (atan (+ N 1.0)) (atan N)) from (# # # # # # # # #) 0.792 * * * * [regimes]: Trying to branch on N from (# # # # # # # # #) 0.841 * * * [regime]: Found split indices: #