7.642 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.029 * * * [progress]: [2/2] Setting up program. 0.031 * [progress]: [Phase 2 of 3] Improving. 0.032 * [simplify]: Simplifying using # : (- (atan (+ N 1.0)) (atan N)) 0.034 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.035 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.036 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.036 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.036 * * [progress]: iteration 1 / 4 0.036 * * * [progress]: picking best candidate 0.043 * * * * [pick]: Picked # 0.043 * * * [progress]: localizing error 0.050 * * * [progress]: generating rewritten candidates 0.050 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.054 * * * [progress]: generating series expansions 0.054 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.054 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.054 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.054 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.054 * [taylor]: Taking taylor expansion of (atan N) in N 0.054 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.054 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.054 * [taylor]: Taking taylor expansion of (atan N) in N 0.055 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.055 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.055 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.055 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.055 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.055 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.055 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.056 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.056 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.056 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.056 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.056 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.056 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.056 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.056 * * * [progress]: simplifying candidates 0.057 * [simplify]: Simplifying using # : (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)) (/ (exp (atan (+ N 1.0))) (exp (atan N))) (log (- (atan (+ N 1.0)) (atan N))) (exp (- (atan (+ N 1.0)) (atan N))) (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N)))) (cbrt (- (atan (+ N 1.0)) (atan N))) (* (* (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N))) (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1.0)) (atan (+ N 1.0))) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (atan N)))) (neg (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (atan (+ N 1.0)) (atan N)) (neg (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) 0.060 * * [simplify]: iteration 0 : 72 enodes (cost 123 ) 0.061 * * [simplify]: iteration 1 : 142 enodes (cost 114 ) 0.064 * * [simplify]: iteration 2 : 286 enodes (cost 112 ) 0.069 * * [simplify]: iteration 3 : 678 enodes (cost 111 ) 0.082 * * [simplify]: iteration 4 : 2444 enodes (cost 111 ) 0.132 * * [simplify]: iteration 5 : 5002 enodes (cost 111 ) 0.133 * [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)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) 0.133 * * * [progress]: adding candidates to table 0.156 * * [progress]: iteration 2 / 4 0.156 * * * [progress]: picking best candidate 0.158 * * * * [pick]: Picked # 0.158 * * * [progress]: localizing error 0.164 * * * [progress]: generating rewritten candidates 0.164 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.165 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.172 * * * [progress]: generating series expansions 0.172 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.172 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.172 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.172 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.173 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.173 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.173 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.174 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.174 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.174 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.174 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.174 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 0.174 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.174 * [taylor]: Taking taylor expansion of N in N 0.174 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.174 * [taylor]: Taking taylor expansion of N in N 0.174 * [taylor]: Taking taylor expansion of 1.0 in N 0.174 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.174 * [taylor]: Taking taylor expansion of N in N 0.174 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.174 * [taylor]: Taking taylor expansion of N in N 0.174 * [taylor]: Taking taylor expansion of 1.0 in N 0.175 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 0.175 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.175 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.175 * [taylor]: Taking taylor expansion of N in N 0.175 * [taylor]: Taking taylor expansion of 1.0 in N 0.175 * [taylor]: Taking taylor expansion of N in N 0.175 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.175 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.175 * [taylor]: Taking taylor expansion of N in N 0.176 * [taylor]: Taking taylor expansion of 1.0 in N 0.176 * [taylor]: Taking taylor expansion of N in N 0.177 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 0.177 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.177 * [taylor]: Taking taylor expansion of -1 in N 0.177 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.177 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.177 * [taylor]: Taking taylor expansion of 1.0 in N 0.177 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.177 * [taylor]: Taking taylor expansion of N in N 0.177 * [taylor]: Taking taylor expansion of N in N 0.177 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.177 * [taylor]: Taking taylor expansion of -1 in N 0.177 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.177 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.177 * [taylor]: Taking taylor expansion of 1.0 in N 0.177 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.177 * [taylor]: Taking taylor expansion of N in N 0.177 * [taylor]: Taking taylor expansion of N in N 0.179 * * * [progress]: simplifying candidates 0.179 * [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)) 0.183 * * [simplify]: iteration 0 : 121 enodes (cost 151 ) 0.185 * * [simplify]: iteration 1 : 432 enodes (cost 127 ) 0.195 * * [simplify]: iteration 2 : 2321 enodes (cost 127 ) 0.233 * * [simplify]: iteration 3 : 5002 enodes (cost 127 ) 0.234 * [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) 0.235 * * * [progress]: adding candidates to table 0.277 * * [progress]: iteration 3 / 4 0.277 * * * [progress]: picking best candidate 0.285 * * * * [pick]: Picked # 0.285 * * * [progress]: localizing error 0.296 * * * [progress]: generating rewritten candidates 0.296 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 0.297 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2) 0.298 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 1) 0.300 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2) 0.307 * * * [progress]: generating series expansions 0.307 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 0.308 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 0.308 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.308 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.308 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.308 * [taylor]: Taking taylor expansion of 1/3 in N 0.308 * [taylor]: Taking taylor expansion of (log N) in N 0.308 * [taylor]: Taking taylor expansion of N in N 0.308 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.308 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.308 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.308 * [taylor]: Taking taylor expansion of 1/3 in N 0.308 * [taylor]: Taking taylor expansion of (log N) in N 0.308 * [taylor]: Taking taylor expansion of N in N 0.316 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 0.316 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.316 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.317 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.317 * [taylor]: Taking taylor expansion of 1/3 in N 0.317 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.317 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.317 * [taylor]: Taking taylor expansion of N in N 0.317 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.317 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.317 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.317 * [taylor]: Taking taylor expansion of 1/3 in N 0.317 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.317 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.317 * [taylor]: Taking taylor expansion of N in N 0.324 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 0.324 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.324 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.324 * [taylor]: Taking taylor expansion of -1 in N 0.324 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.324 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.324 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.324 * [taylor]: Taking taylor expansion of 1/3 in N 0.324 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.324 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.324 * [taylor]: Taking taylor expansion of N in N 0.324 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.324 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.324 * [taylor]: Taking taylor expansion of -1 in N 0.324 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.324 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.324 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.324 * [taylor]: Taking taylor expansion of 1/3 in N 0.324 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.324 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.324 * [taylor]: Taking taylor expansion of N in N 0.332 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2) 0.333 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 0.333 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.333 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.333 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.333 * [taylor]: Taking taylor expansion of 1/3 in N 0.333 * [taylor]: Taking taylor expansion of (log N) in N 0.333 * [taylor]: Taking taylor expansion of N in N 0.333 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.333 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.333 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.333 * [taylor]: Taking taylor expansion of 1/3 in N 0.333 * [taylor]: Taking taylor expansion of (log N) in N 0.333 * [taylor]: Taking taylor expansion of N in N 0.339 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 0.339 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.339 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.339 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.339 * [taylor]: Taking taylor expansion of 1/3 in N 0.339 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.339 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.339 * [taylor]: Taking taylor expansion of N in N 0.340 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.340 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.340 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.340 * [taylor]: Taking taylor expansion of 1/3 in N 0.340 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.340 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.340 * [taylor]: Taking taylor expansion of N in N 0.346 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 0.346 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.347 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.347 * [taylor]: Taking taylor expansion of -1 in N 0.347 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.347 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.347 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.347 * [taylor]: Taking taylor expansion of 1/3 in N 0.347 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.347 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.347 * [taylor]: Taking taylor expansion of N in N 0.347 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.347 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.347 * [taylor]: Taking taylor expansion of -1 in N 0.347 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.347 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.347 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.347 * [taylor]: Taking taylor expansion of 1/3 in N 0.347 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.347 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.347 * [taylor]: Taking taylor expansion of N in N 0.355 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 1) 0.356 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 0.356 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.356 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.356 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.356 * [taylor]: Taking taylor expansion of 1/3 in N 0.356 * [taylor]: Taking taylor expansion of (log N) in N 0.356 * [taylor]: Taking taylor expansion of N in N 0.356 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.356 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.356 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.356 * [taylor]: Taking taylor expansion of 1/3 in N 0.356 * [taylor]: Taking taylor expansion of (log N) in N 0.356 * [taylor]: Taking taylor expansion of N in N 0.362 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 0.362 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.362 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.362 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.362 * [taylor]: Taking taylor expansion of 1/3 in N 0.362 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.362 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.362 * [taylor]: Taking taylor expansion of N in N 0.362 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.362 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.362 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.362 * [taylor]: Taking taylor expansion of 1/3 in N 0.363 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.363 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.363 * [taylor]: Taking taylor expansion of N in N 0.369 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 0.369 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.369 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.369 * [taylor]: Taking taylor expansion of -1 in N 0.369 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.369 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.369 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.369 * [taylor]: Taking taylor expansion of 1/3 in N 0.369 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.369 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.369 * [taylor]: Taking taylor expansion of N in N 0.370 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.370 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.370 * [taylor]: Taking taylor expansion of -1 in N 0.370 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.370 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.370 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.370 * [taylor]: Taking taylor expansion of 1/3 in N 0.370 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.370 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.370 * [taylor]: Taking taylor expansion of N in N 0.378 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2) 0.378 * [approximate]: Taking taylor expansion of (pow (pow N 2) 1/3) in (N) around 0 0.378 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 0.378 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 0.378 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 0.378 * [taylor]: Taking taylor expansion of 1/3 in N 0.378 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 0.378 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.378 * [taylor]: Taking taylor expansion of N in N 0.378 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 0.378 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 0.378 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 0.378 * [taylor]: Taking taylor expansion of 1/3 in N 0.379 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 0.379 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.379 * [taylor]: Taking taylor expansion of N in N 0.385 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in (N) around 0 0.385 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 0.385 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 0.386 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 0.386 * [taylor]: Taking taylor expansion of 1/3 in N 0.386 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.386 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.386 * [taylor]: Taking taylor expansion of N in N 0.386 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 0.386 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 0.386 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 0.386 * [taylor]: Taking taylor expansion of 1/3 in N 0.386 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.386 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.386 * [taylor]: Taking taylor expansion of N in N 0.393 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)) in (N) around 0 0.393 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)) in N 0.393 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 0.393 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.393 * [taylor]: Taking taylor expansion of -1 in N 0.393 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 0.393 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 0.393 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 0.393 * [taylor]: Taking taylor expansion of 1/3 in N 0.393 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.393 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.393 * [taylor]: Taking taylor expansion of N in N 0.394 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)) in N 0.394 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 0.394 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.394 * [taylor]: Taking taylor expansion of -1 in N 0.394 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 0.394 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 0.394 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 0.394 * [taylor]: Taking taylor expansion of 1/3 in N 0.394 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 0.394 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.394 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.394 * [taylor]: Taking taylor expansion of N in N 0.406 * * * [progress]: simplifying candidates 0.407 * [simplify]: Simplifying using # : (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (+ 1/3 1/3) (+ 1 1) (* N N) (* (cbrt N) (cbrt N)) (+ 1 1) (+ (log (cbrt N)) (log (cbrt N))) (log (* (cbrt N) (cbrt N))) (exp (* (cbrt N) (cbrt N))) (* N N) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (* (cbrt N) (cbrt N)))) (cbrt (* (cbrt N) (cbrt N))) (* (* (* (cbrt N) (cbrt N)) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (sqrt (* (cbrt N) (cbrt N))) (sqrt (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (* (cbrt N) (cbrt N)))) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N)) (* (* (cbrt (cbrt N)) (cbrt (cbrt N))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (* (sqrt (cbrt N)) (sqrt (cbrt N))) (* (sqrt (cbrt N)) (sqrt (cbrt N))) (* 1 1) (* (cbrt N) (cbrt N)) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (sqrt (cbrt N))) (* (cbrt (sqrt N)) (sqrt (cbrt N))) (* (sqrt (cbrt N)) (cbrt (sqrt N))) (* (sqrt (cbrt N)) (cbrt (sqrt N))) (* (sqrt (cbrt N)) (sqrt (cbrt N))) (* (sqrt (cbrt N)) (sqrt (cbrt N))) (* 2 1/3) (* 2 1) (* (cbrt N) (cbrt (* (cbrt N) (cbrt N)))) (* (cbrt N) (cbrt (sqrt N))) (* (cbrt N) (cbrt 1)) (* (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (* (cbrt N) (sqrt (cbrt N))) (* (cbrt N) 1) (* (cbrt (cbrt N)) (cbrt N)) (* (cbrt (sqrt N)) (cbrt N)) (* (cbrt N) (cbrt N)) (* (cbrt (cbrt N)) (cbrt N)) (* (sqrt (cbrt N)) (cbrt N)) (* (cbrt N) (cbrt N)) (exp (* 1/3 (+ (log 1) (log N)))) (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 N)))))) (exp (* 1/3 (+ (log 1) (log N)))) (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 N)))))) (exp (* 1/3 (+ (log 1) (log N)))) (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 N)))))) (exp (* 1/3 (+ (log 1) (* 2 (log N))))) (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 N))))))) 0.411 * * [simplify]: iteration 0 : 148 enodes (cost 349 ) 0.414 * * [simplify]: iteration 1 : 471 enodes (cost 322 ) 0.426 * * [simplify]: iteration 2 : 2276 enodes (cost 265 ) 0.478 * * [simplify]: iteration 3 : 5002 enodes (cost 252 ) 0.480 * [simplify]: Simplified to: (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) 2/3 2 (* N N) (pow N 2/3) 2 (* 2 (log (cbrt N))) (* 2 (log (cbrt N))) (exp (* (cbrt N) (cbrt N))) (* N N) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (* (cbrt N) (cbrt N)))) (cbrt (* (cbrt N) (cbrt N))) (* N N) (fabs (cbrt N)) (fabs (cbrt N)) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (* (cbrt N) (cbrt N)))) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) 1 (pow N 2/3) (pow (cbrt (cbrt N)) 4) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt N) (cbrt N) 1 (pow N 2/3) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (sqrt (cbrt N))) (* (cbrt (sqrt N)) (sqrt (cbrt N))) (* (cbrt (sqrt N)) (sqrt (cbrt N))) (* (cbrt (sqrt N)) (sqrt (cbrt N))) (cbrt N) (cbrt N) 2/3 2 (* (cbrt N) (cbrt (* (cbrt N) (cbrt N)))) (* (cbrt N) (cbrt (sqrt N))) (cbrt N) (pow (cbrt (cbrt N)) 5) (pow (sqrt (cbrt N)) 3) (cbrt N) (pow (cbrt (cbrt N)) 4) (* (cbrt N) (cbrt (sqrt N))) (pow N 2/3) (pow (cbrt (cbrt N)) 4) (pow (sqrt (cbrt N)) 3) (pow N 2/3) (cbrt N) (cbrt N) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 N)))))) (cbrt N) (cbrt N) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 N)))))) (cbrt N) (cbrt N) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 N)))))) (pow N 2/3) (pow N 2/3) (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 N))))))) 0.481 * * * [progress]: adding candidates to table 0.569 * * [progress]: iteration 4 / 4 0.569 * * * [progress]: picking best candidate 0.575 * * * * [pick]: Picked # 0.575 * * * [progress]: localizing error 0.587 * * * [progress]: generating rewritten candidates 0.587 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 2) 0.590 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2) 0.591 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.591 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 0.601 * * * [progress]: generating series expansions 0.602 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 2) 0.602 * [approximate]: Taking taylor expansion of (pow (pow N 2) 1/3) in (N) around 0 0.602 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 0.602 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 0.602 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 0.602 * [taylor]: Taking taylor expansion of 1/3 in N 0.602 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 0.602 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.602 * [taylor]: Taking taylor expansion of N in N 0.602 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 0.602 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 0.602 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 0.602 * [taylor]: Taking taylor expansion of 1/3 in N 0.602 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 0.602 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.602 * [taylor]: Taking taylor expansion of N in N 0.612 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in (N) around 0 0.612 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 0.612 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 0.612 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 0.612 * [taylor]: Taking taylor expansion of 1/3 in N 0.612 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 0.612 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.612 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.612 * [taylor]: Taking taylor expansion of N in N 0.612 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 0.613 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 0.613 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 0.613 * [taylor]: Taking taylor expansion of 1/3 in N 0.613 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 0.613 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.613 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.613 * [taylor]: Taking taylor expansion of N in N 0.620 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in (N) around 0 0.620 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 0.620 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 0.620 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 0.620 * [taylor]: Taking taylor expansion of 1/3 in N 0.620 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 0.620 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.620 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.620 * [taylor]: Taking taylor expansion of N in N 0.620 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 0.620 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 0.620 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 0.620 * [taylor]: Taking taylor expansion of 1/3 in N 0.620 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 0.620 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.620 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.620 * [taylor]: Taking taylor expansion of N in N 0.627 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2) 0.627 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 0.627 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.627 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.627 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.627 * [taylor]: Taking taylor expansion of 1/3 in N 0.627 * [taylor]: Taking taylor expansion of (log N) in N 0.627 * [taylor]: Taking taylor expansion of N in N 0.627 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.627 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.627 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.627 * [taylor]: Taking taylor expansion of 1/3 in N 0.627 * [taylor]: Taking taylor expansion of (log N) in N 0.627 * [taylor]: Taking taylor expansion of N in N 0.634 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 0.634 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.634 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.634 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.634 * [taylor]: Taking taylor expansion of 1/3 in N 0.634 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.634 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.634 * [taylor]: Taking taylor expansion of N in N 0.634 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.634 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.634 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.634 * [taylor]: Taking taylor expansion of 1/3 in N 0.634 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.634 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.634 * [taylor]: Taking taylor expansion of N in N 0.641 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 0.641 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.641 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.641 * [taylor]: Taking taylor expansion of -1 in N 0.641 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.641 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.641 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.641 * [taylor]: Taking taylor expansion of 1/3 in N 0.641 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.641 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.641 * [taylor]: Taking taylor expansion of N in N 0.642 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.642 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.642 * [taylor]: Taking taylor expansion of -1 in N 0.642 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.642 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.642 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.642 * [taylor]: Taking taylor expansion of 1/3 in N 0.642 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.642 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.642 * [taylor]: Taking taylor expansion of N in N 0.651 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.651 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.651 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.651 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.652 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.652 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.652 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.652 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (cbrt -1) N)) 1) (/ (cbrt -1) (pow N 2)))) in (N) around 0 0.653 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (cbrt -1) N)) 1) (/ (cbrt -1) (pow N 2)))) in N 0.653 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (cbrt -1) N)) 1) (/ (cbrt -1) (pow N 2)))) in N 0.654 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 0.654 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 0.654 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.654 * [taylor]: Taking taylor expansion of N in N 0.654 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.654 * [taylor]: Taking taylor expansion of N in N 0.654 * [taylor]: Taking taylor expansion of 1.0 in N 0.654 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.654 * [taylor]: Taking taylor expansion of N in N 0.654 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.654 * [taylor]: Taking taylor expansion of N in N 0.654 * [taylor]: Taking taylor expansion of 1.0 in N 0.655 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 0.655 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.655 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.655 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.655 * [taylor]: Taking taylor expansion of N in N 0.655 * [taylor]: Taking taylor expansion of 1.0 in N 0.655 * [taylor]: Taking taylor expansion of N in N 0.655 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.655 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.655 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.655 * [taylor]: Taking taylor expansion of N in N 0.655 * [taylor]: Taking taylor expansion of 1.0 in N 0.655 * [taylor]: Taking taylor expansion of N in N 0.657 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (- 1.0 (/ 1 N))) N) in (N) around 0 0.657 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (- 1.0 (/ 1 N))) N) in N 0.657 * [taylor]: Taking taylor expansion of (* (cbrt -1) (- 1.0 (/ 1 N))) in N 0.657 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.657 * [taylor]: Taking taylor expansion of -1 in N 0.657 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.657 * [taylor]: Taking taylor expansion of 1.0 in N 0.657 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.657 * [taylor]: Taking taylor expansion of N in N 0.657 * [taylor]: Taking taylor expansion of N in N 0.657 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (- 1.0 (/ 1 N))) N) in N 0.657 * [taylor]: Taking taylor expansion of (* (cbrt -1) (- 1.0 (/ 1 N))) in N 0.657 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.657 * [taylor]: Taking taylor expansion of -1 in N 0.657 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.657 * [taylor]: Taking taylor expansion of 1.0 in N 0.657 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.657 * [taylor]: Taking taylor expansion of N in N 0.657 * [taylor]: Taking taylor expansion of N in N 0.661 * * * [progress]: simplifying candidates 0.662 * [simplify]: Simplifying using # : (log (cbrt (* N N))) (exp (cbrt (* N N))) (cbrt N) (cbrt N) (* (cbrt (cbrt (* N N))) (cbrt (cbrt (* N N)))) (cbrt (cbrt (* N N))) (* (* (cbrt (* N N)) (cbrt (* N N))) (cbrt (* N N))) (sqrt (cbrt (* N N))) (sqrt (cbrt (* N N))) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (log (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))))) (exp (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))))) (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))))) (* (* (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N)))) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))))) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))))) (sqrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))))) (sqrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))))) (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N)) (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N)) (+ (+ (log (+ N 1.0)) (log (cbrt (* N N)))) (log (cbrt N))) (+ (log (* (+ N 1.0) (cbrt (* N N)))) (log (cbrt N))) (log (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))) (exp (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))) (* (* (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* N N)) N) (* (* (* (* (+ N 1.0) (cbrt (* N N))) (* (+ N 1.0) (cbrt (* N N)))) (* (+ N 1.0) (cbrt (* N N)))) N) (* (cbrt (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))) (cbrt (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N)))) (cbrt (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))) (* (* (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N)) (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))) (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))) (sqrt (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))) (sqrt (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))) (* (* (+ N 1.0) (cbrt (* N N))) (cbrt (* (cbrt N) (cbrt N)))) (* (* (+ N 1.0) (cbrt (* N N))) (cbrt (sqrt N))) (* (* (+ N 1.0) (cbrt (* N N))) (cbrt 1)) (* (* (+ N 1.0) (cbrt (* N N))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (* (* (+ N 1.0) (cbrt (* N N))) (sqrt (cbrt N))) (* (* (+ N 1.0) (cbrt (* N N))) 1) (* (cbrt (* N N)) (cbrt N)) (* (* (+ (pow N 3) (pow 1.0 3)) (cbrt (* N N))) (cbrt N)) (* (* (- (* N N) (* 1.0 1.0)) (cbrt (* N N))) (cbrt N)) (exp (* 1/3 (+ (log 1) (* 2 (log N))))) (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 N)))))) (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 N)))))) (exp (* 1/3 (+ (log 1) (log N)))) (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 N)))))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (- 1 (+ (* 1.0 (* (cbrt -1) N)) (* (cbrt -1) (pow N 2))))) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) (neg (+ (* 1.0 (* (cbrt -1) N)) (* (cbrt -1) (pow N 2)))) 0.666 * * [simplify]: iteration 0 : 276 enodes (cost 408 ) 0.671 * * [simplify]: iteration 1 : 939 enodes (cost 362 ) 0.692 * * [simplify]: iteration 2 : 5001 enodes (cost 321 ) 0.694 * [simplify]: Simplified to: (log (cbrt (* N N))) (exp (cbrt (* N N))) (cbrt N) (cbrt N) (* (cbrt (cbrt (* N N))) (cbrt (cbrt (* N N)))) (cbrt (cbrt (* N N))) (pow N 2) (sqrt (cbrt (* N N))) (sqrt (cbrt (* N N))) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (log (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))))) (exp (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))))) (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))))) (pow (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N)))) 3) (sqrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))))) (sqrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))))) (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N)) (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N)) (log (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))) (log (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))) (log (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))) (exp (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))) (* (pow N 3) (pow (+ N 1.0) 3)) (* (pow N 3) (pow (+ N 1.0) 3)) (* (cbrt (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))) (cbrt (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N)))) (cbrt (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))) (* (pow N 3) (pow (+ N 1.0) 3)) (sqrt (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))) (sqrt (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))) (* (* (+ N 1.0) (cbrt (* N N))) (cbrt (* (cbrt N) (cbrt N)))) (* (* (+ N 1.0) (cbrt (* N N))) (cbrt (sqrt N))) (* (* (+ N 1.0) (cbrt (* N N))) (cbrt 1)) (* (* (+ N 1.0) (cbrt (* N N))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (* (* (+ N 1.0) (cbrt (* N N))) (sqrt (cbrt N))) (* (+ N 1.0) (cbrt (* N N))) (* (cbrt (* N N)) (cbrt N)) (* (* (+ (pow N 3) (pow 1.0 3)) (cbrt (* N N))) (cbrt N)) (* (* (- (* N N) (* 1.0 1.0)) (cbrt (* N N))) (cbrt N)) (pow N 2/3) (pow N 2/3) (exp (* 1/3 (* -2 (log (/ -1 N))))) (pow N 1/3) (pow N 1/3) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 N)))))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (- 1 (+ (* 1.0 (* (cbrt -1) N)) (* (cbrt -1) (pow N 2))))) (* N (+ N 1.0)) (* N (+ N 1.0)) (* (* (cbrt -1) N) (- (neg 1.0) N)) 0.695 * * * [progress]: adding candidates to table 0.777 * [progress]: [Phase 3 of 3] Extracting. 0.777 * * [regime]: Finding splitpoints for: (# # # # # # #) 0.778 * * * [regime-changes]: Trying 2 branch expressions: ((- (atan (+ N 1.0)) (atan N)) N) 0.778 * * * * [regimes]: Trying to branch on (- (atan (+ N 1.0)) (atan N)) from (# # # # # # #) 0.826 * * * * [regimes]: Trying to branch on N from (# # # # # # #) 0.871 * * * [regime]: Found split indices: #