14.964 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.047 * * * [progress]: [2/2] Setting up program. 0.049 * [progress]: [Phase 2 of 3] Improving. 0.049 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.051 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.052 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.053 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.053 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.053 * * [progress]: iteration 1 / 4 0.053 * * * [progress]: picking best candidate 0.055 * * * * [pick]: Picked # 0.055 * * * [progress]: localizing error 0.064 * * * [progress]: generating rewritten candidates 0.064 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.067 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.075 * * * [progress]: generating series expansions 0.075 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.075 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.075 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.075 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.075 * [taylor]: Taking taylor expansion of N in N 0.075 * [taylor]: Taking taylor expansion of 1.0 in N 0.076 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.076 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.076 * [taylor]: Taking taylor expansion of N in N 0.076 * [taylor]: Taking taylor expansion of 1.0 in N 0.089 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.089 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.089 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.089 * [taylor]: Taking taylor expansion of N in N 0.089 * [taylor]: Taking taylor expansion of 1.0 in N 0.090 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.090 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.090 * [taylor]: Taking taylor expansion of N in N 0.090 * [taylor]: Taking taylor expansion of 1.0 in N 0.102 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.102 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.102 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.102 * [taylor]: Taking taylor expansion of 1.0 in N 0.102 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.102 * [taylor]: Taking taylor expansion of N in N 0.103 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.103 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.103 * [taylor]: Taking taylor expansion of 1.0 in N 0.103 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.103 * [taylor]: Taking taylor expansion of N in N 0.117 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.117 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.117 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.117 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.117 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.117 * [taylor]: Taking taylor expansion of N in N 0.117 * [taylor]: Taking taylor expansion of 1.0 in N 0.117 * [taylor]: Taking taylor expansion of (log N) in N 0.117 * [taylor]: Taking taylor expansion of N in N 0.118 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.118 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.118 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.118 * [taylor]: Taking taylor expansion of N in N 0.118 * [taylor]: Taking taylor expansion of 1.0 in N 0.118 * [taylor]: Taking taylor expansion of (log N) in N 0.118 * [taylor]: Taking taylor expansion of N in N 0.135 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.135 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.135 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.135 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.135 * [taylor]: Taking taylor expansion of N in N 0.136 * [taylor]: Taking taylor expansion of 1.0 in N 0.136 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.136 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.136 * [taylor]: Taking taylor expansion of N in N 0.137 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.137 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.137 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.137 * [taylor]: Taking taylor expansion of N in N 0.137 * [taylor]: Taking taylor expansion of 1.0 in N 0.138 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.138 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.138 * [taylor]: Taking taylor expansion of N in N 0.171 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.171 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.171 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.172 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.172 * [taylor]: Taking taylor expansion of 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 (log (/ -1 N)) in N 0.173 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.173 * [taylor]: Taking taylor expansion of -1 in N 0.173 * [taylor]: Taking taylor expansion of N in N 0.173 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.173 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.173 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.173 * [taylor]: Taking taylor expansion of 1.0 in N 0.173 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.173 * [taylor]: Taking taylor expansion of N in N 0.174 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.174 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.174 * [taylor]: Taking taylor expansion of -1 in N 0.174 * [taylor]: Taking taylor expansion of N in N 0.207 * * * [progress]: simplifying candidates 0.208 * [simplify]: Simplifying using # : (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (neg (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (neg (log N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.211 * * [simplify]: iteration 0 : 212 enodes (cost 281 ) 0.215 * * [simplify]: iteration 1 : 547 enodes (cost 264 ) 0.223 * * [simplify]: iteration 2 : 1874 enodes (cost 250 ) 0.257 * * [simplify]: iteration 3 : 5001 enodes (cost 247 ) 0.259 * [simplify]: Simplified to: (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (+ (log N) (log (+ N 1.0)))) (* (log N) (log N))) (log (/ 1 N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (log (/ 1 N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) 0.259 * * * [progress]: adding candidates to table 0.353 * * [progress]: iteration 2 / 4 0.353 * * * [progress]: picking best candidate 0.360 * * * * [pick]: Picked # 0.360 * * * [progress]: localizing error 0.364 * * * [progress]: generating rewritten candidates 0.364 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.368 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.376 * * * [progress]: generating series expansions 0.376 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.376 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.376 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.376 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.376 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.376 * [taylor]: Taking taylor expansion of N in N 0.376 * [taylor]: Taking taylor expansion of 1.0 in N 0.376 * [taylor]: Taking taylor expansion of N in N 0.377 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.377 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.377 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.377 * [taylor]: Taking taylor expansion of N in N 0.377 * [taylor]: Taking taylor expansion of 1.0 in N 0.377 * [taylor]: Taking taylor expansion of N in N 0.391 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.391 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.391 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.391 * [taylor]: Taking taylor expansion of N in N 0.391 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.391 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.391 * [taylor]: Taking taylor expansion of N in N 0.391 * [taylor]: Taking taylor expansion of 1.0 in N 0.393 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.393 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.393 * [taylor]: Taking taylor expansion of N in N 0.393 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.393 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.393 * [taylor]: Taking taylor expansion of N in N 0.393 * [taylor]: Taking taylor expansion of 1.0 in N 0.422 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.422 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.423 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.423 * [taylor]: Taking taylor expansion of -1 in N 0.423 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.423 * [taylor]: Taking taylor expansion of N in N 0.423 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.423 * [taylor]: Taking taylor expansion of 1.0 in N 0.423 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.423 * [taylor]: Taking taylor expansion of N in N 0.426 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.426 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.426 * [taylor]: Taking taylor expansion of -1 in N 0.426 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.426 * [taylor]: Taking taylor expansion of N in N 0.426 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.426 * [taylor]: Taking taylor expansion of 1.0 in N 0.426 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.426 * [taylor]: Taking taylor expansion of N in N 0.457 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.457 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.457 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.458 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.458 * [taylor]: Taking taylor expansion of N in N 0.458 * [taylor]: Taking taylor expansion of 1.0 in N 0.458 * [taylor]: Taking taylor expansion of N in N 0.458 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.458 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.458 * [taylor]: Taking taylor expansion of N in N 0.458 * [taylor]: Taking taylor expansion of 1.0 in N 0.458 * [taylor]: Taking taylor expansion of N in N 0.465 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.465 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.465 * [taylor]: Taking taylor expansion of N in N 0.465 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.465 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.465 * [taylor]: Taking taylor expansion of N in N 0.465 * [taylor]: Taking taylor expansion of 1.0 in N 0.465 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.465 * [taylor]: Taking taylor expansion of N in N 0.465 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.465 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.465 * [taylor]: Taking taylor expansion of N in N 0.465 * [taylor]: Taking taylor expansion of 1.0 in N 0.478 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.479 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.479 * [taylor]: Taking taylor expansion of -1 in N 0.479 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.479 * [taylor]: Taking taylor expansion of N in N 0.479 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.479 * [taylor]: Taking taylor expansion of 1.0 in N 0.479 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.479 * [taylor]: Taking taylor expansion of N in N 0.479 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.479 * [taylor]: Taking taylor expansion of -1 in N 0.479 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.479 * [taylor]: Taking taylor expansion of N in N 0.479 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.479 * [taylor]: Taking taylor expansion of 1.0 in N 0.479 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.479 * [taylor]: Taking taylor expansion of N in N 0.508 * * * [progress]: simplifying candidates 0.509 * [simplify]: Simplifying using # : (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ 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)) (neg (+ N 1.0)) (neg N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.513 * * [simplify]: iteration 0 : 233 enodes (cost 373 ) 0.517 * * [simplify]: iteration 1 : 773 enodes (cost 351 ) 0.530 * * [simplify]: iteration 2 : 3489 enodes (cost 339 ) 0.608 * * [simplify]: iteration 3 : 5002 enodes (cost 339 ) 0.611 * [simplify]: Simplified to: (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ 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)) (neg (+ N 1.0)) (neg N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (+ N 1.0) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* (+ (* 1.0 (- 1.0 N)) (pow N 2)) N) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.611 * * * [progress]: adding candidates to table 0.692 * * [progress]: iteration 3 / 4 0.692 * * * [progress]: picking best candidate 0.697 * * * * [pick]: Picked # 0.697 * * * [progress]: localizing error 0.705 * * * [progress]: generating rewritten candidates 0.705 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.708 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.717 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.722 * * * [progress]: generating series expansions 0.722 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.722 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.722 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.722 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.722 * [taylor]: Taking taylor expansion of N in N 0.722 * [taylor]: Taking taylor expansion of 1.0 in N 0.723 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.723 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.723 * [taylor]: Taking taylor expansion of N in N 0.723 * [taylor]: Taking taylor expansion of 1.0 in N 0.738 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.738 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.738 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.738 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.738 * [taylor]: Taking taylor expansion of N in N 0.738 * [taylor]: Taking taylor expansion of 1.0 in N 0.739 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.739 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.739 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.739 * [taylor]: Taking taylor expansion of N in N 0.739 * [taylor]: Taking taylor expansion of 1.0 in N 0.751 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.751 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.751 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.751 * [taylor]: Taking taylor expansion of 1.0 in N 0.751 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.751 * [taylor]: Taking taylor expansion of N in N 0.752 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.752 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.752 * [taylor]: Taking taylor expansion of 1.0 in N 0.752 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.752 * [taylor]: Taking taylor expansion of N in N 0.766 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.766 * [approximate]: Taking taylor expansion of (+ (log (+ N 1.0)) (log (/ 1 N))) in (N) around 0 0.766 * [taylor]: Taking taylor expansion of (+ (log (+ N 1.0)) (log (/ 1 N))) in N 0.766 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.766 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.766 * [taylor]: Taking taylor expansion of N in N 0.766 * [taylor]: Taking taylor expansion of 1.0 in N 0.767 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.767 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.767 * [taylor]: Taking taylor expansion of N in N 0.767 * [taylor]: Taking taylor expansion of (+ (log (+ N 1.0)) (log (/ 1 N))) in N 0.767 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.767 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.767 * [taylor]: Taking taylor expansion of N in N 0.767 * [taylor]: Taking taylor expansion of 1.0 in N 0.768 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.768 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.768 * [taylor]: Taking taylor expansion of N in N 0.787 * [approximate]: Taking taylor expansion of (+ (log (+ (/ 1 N) 1.0)) (log N)) in (N) around 0 0.787 * [taylor]: Taking taylor expansion of (+ (log (+ (/ 1 N) 1.0)) (log N)) in N 0.787 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.787 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.787 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.787 * [taylor]: Taking taylor expansion of N in N 0.787 * [taylor]: Taking taylor expansion of 1.0 in N 0.788 * [taylor]: Taking taylor expansion of (log N) in N 0.788 * [taylor]: Taking taylor expansion of N in N 0.788 * [taylor]: Taking taylor expansion of (+ (log (+ (/ 1 N) 1.0)) (log N)) in N 0.788 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.788 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.788 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.788 * [taylor]: Taking taylor expansion of N in N 0.788 * [taylor]: Taking taylor expansion of 1.0 in N 0.789 * [taylor]: Taking taylor expansion of (log N) in N 0.789 * [taylor]: Taking taylor expansion of N in N 0.821 * [approximate]: Taking taylor expansion of (+ (log (* -1 N)) (log (- 1.0 (/ 1 N)))) in (N) around 0 0.821 * [taylor]: Taking taylor expansion of (+ (log (* -1 N)) (log (- 1.0 (/ 1 N)))) in N 0.821 * [taylor]: Taking taylor expansion of (log (* -1 N)) in N 0.821 * [taylor]: Taking taylor expansion of (* -1 N) in N 0.821 * [taylor]: Taking taylor expansion of -1 in N 0.821 * [taylor]: Taking taylor expansion of N in N 0.822 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.822 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.822 * [taylor]: Taking taylor expansion of 1.0 in N 0.822 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.822 * [taylor]: Taking taylor expansion of N in N 0.823 * [taylor]: Taking taylor expansion of (+ (log (* -1 N)) (log (- 1.0 (/ 1 N)))) in N 0.823 * [taylor]: Taking taylor expansion of (log (* -1 N)) in N 0.823 * [taylor]: Taking taylor expansion of (* -1 N) in N 0.823 * [taylor]: Taking taylor expansion of -1 in N 0.823 * [taylor]: Taking taylor expansion of N in N 0.824 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.824 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.824 * [taylor]: Taking taylor expansion of 1.0 in N 0.824 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.824 * [taylor]: Taking taylor expansion of N in N 0.844 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.844 * [approximate]: Taking taylor expansion of (log (/ 1 N)) in (N) around 0 0.844 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.844 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.844 * [taylor]: Taking taylor expansion of N in N 0.844 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.844 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.844 * [taylor]: Taking taylor expansion of N in N 0.879 * [approximate]: Taking taylor expansion of (log N) in (N) around 0 0.879 * [taylor]: Taking taylor expansion of (log N) in N 0.879 * [taylor]: Taking taylor expansion of N in N 0.880 * [taylor]: Taking taylor expansion of (log N) in N 0.880 * [taylor]: Taking taylor expansion of N in N 0.916 * [approximate]: Taking taylor expansion of (log (* -1 N)) in (N) around 0 0.916 * [taylor]: Taking taylor expansion of (log (* -1 N)) in N 0.916 * [taylor]: Taking taylor expansion of (* -1 N) in N 0.916 * [taylor]: Taking taylor expansion of -1 in N 0.916 * [taylor]: Taking taylor expansion of N in N 0.917 * [taylor]: Taking taylor expansion of (log (* -1 N)) in N 0.917 * [taylor]: Taking taylor expansion of (* -1 N) in N 0.917 * [taylor]: Taking taylor expansion of -1 in N 0.917 * [taylor]: Taking taylor expansion of N in N 0.960 * * * [progress]: simplifying candidates 0.961 * [simplify]: Simplifying using # : (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (* (+ N 1.0) (/ 1 N)) (log (+ (log (+ N 1.0)) (log (/ 1 N)))) (exp (+ (log (+ N 1.0)) (log (/ 1 N)))) (* (cbrt (+ (log (+ N 1.0)) (log (/ 1 N)))) (cbrt (+ (log (+ N 1.0)) (log (/ 1 N))))) (cbrt (+ (log (+ N 1.0)) (log (/ 1 N)))) (* (* (+ (log (+ N 1.0)) (log (/ 1 N))) (+ (log (+ N 1.0)) (log (/ 1 N)))) (+ (log (+ N 1.0)) (log (/ 1 N)))) (sqrt (+ (log (+ N 1.0)) (log (/ 1 N)))) (sqrt (+ (log (+ N 1.0)) (log (/ 1 N)))) (+ (pow (log (+ N 1.0)) 3) (pow (log (/ 1 N)) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (- (* (log (/ 1 N)) (log (/ 1 N))) (* (log (+ N 1.0)) (log (/ 1 N))))) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (/ 1 N)) (log (/ 1 N)))) (- (log (+ N 1.0)) (log (/ 1 N))) (+ (log (+ N 1.0)) (log (/ 1 N))) (+ (log (+ N 1.0)) (log (/ 1 N))) (+ (log (+ N 1.0)) (log (/ 1 N))) (+ (log (+ N 1.0)) (log (/ 1 N))) (+ (log (+ N 1.0)) (log (* (cbrt (/ 1 N)) (cbrt (/ 1 N))))) (+ (log (+ N 1.0)) (log (sqrt (/ 1 N)))) (+ (log (+ N 1.0)) (log (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))))) (+ (log (+ N 1.0)) (log (/ (* (cbrt 1) (cbrt 1)) (sqrt N)))) (+ (log (+ N 1.0)) (log (/ (* (cbrt 1) (cbrt 1)) 1))) (+ (log (+ N 1.0)) (log (/ (sqrt 1) (* (cbrt N) (cbrt N))))) (+ (log (+ N 1.0)) (log (/ (sqrt 1) (sqrt N)))) (+ (log (+ N 1.0)) (log (/ (sqrt 1) 1))) (+ (log (+ N 1.0)) (log (/ 1 (* (cbrt N) (cbrt N))))) (+ (log (+ N 1.0)) (log (/ 1 (sqrt N)))) (+ (log (+ N 1.0)) (log (/ 1 1))) (+ (log (+ N 1.0)) (log 1)) (+ (log (+ N 1.0)) (log 1)) (+ (log (cbrt (+ N 1.0))) (log (/ 1 N))) (+ (log (sqrt (+ N 1.0))) (log (/ 1 N))) (+ (log (+ N 1.0)) (log (/ 1 N))) (+ (log (+ N 1.0)) (log (/ 1 N))) (+ (log (+ N 1.0)) (log 1)) (- (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (/ 1 N))) (- (log (- N 1.0)) (log (/ 1 N))) (log (* (cbrt (/ 1 N)) (cbrt (/ 1 N)))) (log (cbrt (/ 1 N))) (log (sqrt (/ 1 N))) (log (sqrt (/ 1 N))) (log (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N)))) (log (/ (cbrt 1) (cbrt N))) (log (/ (* (cbrt 1) (cbrt 1)) (sqrt N))) (log (/ (cbrt 1) (sqrt N))) (log (/ (* (cbrt 1) (cbrt 1)) 1)) (log (/ (cbrt 1) N)) (log (/ (sqrt 1) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) (cbrt N))) (log (/ (sqrt 1) (sqrt N))) (log (/ (sqrt 1) (sqrt N))) (log (/ (sqrt 1) 1)) (log (/ (sqrt 1) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ 1 (cbrt N))) (log (/ 1 (sqrt N))) (log (/ 1 (sqrt N))) (log (/ 1 1)) (log (/ 1 N)) (log 1) (log (/ 1 N)) (log 1) (log (/ 1 N)) (log 1) (log N) (log N) (log N) (log N) (log (/ 1 N)) (log (log (/ 1 N))) (exp (log (/ 1 N))) (* (cbrt (log (/ 1 N))) (cbrt (log (/ 1 N)))) (cbrt (log (/ 1 N))) (* (* (log (/ 1 N)) (log (/ 1 N))) (log (/ 1 N))) (sqrt (log (/ 1 N))) (sqrt (log (/ 1 N))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (* 2 (log -1))) (* 0.5 (/ 1 (pow N 2)))) (neg (log N)) (log (/ 1 N)) (+ (log -1) (log (/ -1 N))) 0.966 * * [simplify]: iteration 0 : 324 enodes (cost 495 ) 0.971 * * [simplify]: iteration 1 : 906 enodes (cost 452 ) 0.986 * * [simplify]: iteration 2 : 3587 enodes (cost 406 ) 1.052 * * [simplify]: iteration 3 : 5001 enodes (cost 387 ) 1.055 * [simplify]: Simplified to: (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ N 1.0) N) (log (+ (log (+ N 1.0)) (log (/ 1 N)))) (/ (+ N 1.0) N) (* (cbrt (+ (log (+ N 1.0)) (log (/ 1 N)))) (cbrt (+ (log (+ N 1.0)) (log (/ 1 N))))) (cbrt (+ (log (+ N 1.0)) (log (/ 1 N)))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (+ (log (+ N 1.0)) (log (/ 1 N)))) (sqrt (+ (log (+ N 1.0)) (log (/ 1 N)))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (+ (log N) (log (+ N 1.0)))) (* (log N) (log N))) (* (+ (log N) (log (+ N 1.0))) (- (log (+ N 1.0)) (log N))) (+ (log N) (log (+ N 1.0))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0))) (+ (log (+ N 1.0)) (log (sqrt (/ 1 N)))) (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (log (+ N 1.0)) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (log (+ N 1.0)) (+ (log N) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (+ (log N) (log (- N 1.0))) (* 2 (log (cbrt (/ 1 N)))) (log (cbrt (/ 1 N))) (log (sqrt (/ 1 N))) (log (sqrt (/ 1 N))) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ 1 (cbrt N))) (log (/ 1 (sqrt N))) (log (/ 1 (sqrt N))) 0 (log (/ 1 N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ 1 (cbrt N))) (log (/ 1 (sqrt N))) (log (/ 1 (sqrt N))) 0 (log (/ 1 N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ 1 (cbrt N))) (log (/ 1 (sqrt N))) (log (/ 1 (sqrt N))) 0 (log (/ 1 N)) 0 (log (/ 1 N)) 0 (log (/ 1 N)) 0 (log N) (log N) (log N) (log N) (log (/ 1 N)) (log (log (/ 1 N))) (/ 1 N) (* (cbrt (log (/ 1 N))) (cbrt (log (/ 1 N)))) (cbrt (log (/ 1 N))) (pow (log (/ 1 N)) 3) (sqrt (log (/ 1 N))) (sqrt (log (/ 1 N))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (+ (* (/ 1 N) (- 1.0 (/ 0.5 N))) (log N)) (- (+ (/ 1.0 N) (- (log -1) (log (/ -1 N)))) (/ (/ 0.5 N) N)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (- (* 2 (log -1)) (- (/ (/ 0.5 N) N) (/ 1.0 N))) (log (/ 1 N)) (log (/ 1 N)) (+ (log -1) (log (/ -1 N))) 1.055 * * * [progress]: adding candidates to table 1.179 * * [progress]: iteration 4 / 4 1.180 * * * [progress]: picking best candidate 1.188 * * * * [pick]: Picked # 1.188 * * * [progress]: localizing error 1.200 * * * [progress]: generating rewritten candidates 1.200 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.211 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.214 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.217 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1) 1.222 * * * [progress]: generating series expansions 1.222 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.222 * [approximate]: Taking taylor expansion of (+ (log (+ N 1.0)) (* 3 (log (pow (/ 1 N) 1/3)))) in (N) around 0 1.222 * [taylor]: Taking taylor expansion of (+ (log (+ N 1.0)) (* 3 (log (pow (/ 1 N) 1/3)))) in N 1.222 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.222 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.222 * [taylor]: Taking taylor expansion of N in N 1.222 * [taylor]: Taking taylor expansion of 1.0 in N 1.223 * [taylor]: Taking taylor expansion of (* 3 (log (pow (/ 1 N) 1/3))) in N 1.223 * [taylor]: Taking taylor expansion of 3 in N 1.223 * [taylor]: Taking taylor expansion of (log (pow (/ 1 N) 1/3)) in N 1.223 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.223 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.223 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.223 * [taylor]: Taking taylor expansion of 1/3 in N 1.223 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.223 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.223 * [taylor]: Taking taylor expansion of N in N 1.224 * [taylor]: Taking taylor expansion of (+ (log (+ N 1.0)) (* 3 (log (pow (/ 1 N) 1/3)))) in N 1.224 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.224 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.224 * [taylor]: Taking taylor expansion of N in N 1.224 * [taylor]: Taking taylor expansion of 1.0 in N 1.225 * [taylor]: Taking taylor expansion of (* 3 (log (pow (/ 1 N) 1/3))) in N 1.225 * [taylor]: Taking taylor expansion of 3 in N 1.225 * [taylor]: Taking taylor expansion of (log (pow (/ 1 N) 1/3)) in N 1.225 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.225 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.225 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.225 * [taylor]: Taking taylor expansion of 1/3 in N 1.225 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.225 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.225 * [taylor]: Taking taylor expansion of N in N 1.249 * [approximate]: Taking taylor expansion of (+ (log (+ (/ 1 N) 1.0)) (* 3 (log (pow N 1/3)))) in (N) around 0 1.249 * [taylor]: Taking taylor expansion of (+ (log (+ (/ 1 N) 1.0)) (* 3 (log (pow N 1/3)))) in N 1.249 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.249 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.249 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.249 * [taylor]: Taking taylor expansion of N in N 1.249 * [taylor]: Taking taylor expansion of 1.0 in N 1.249 * [taylor]: Taking taylor expansion of (* 3 (log (pow N 1/3))) in N 1.250 * [taylor]: Taking taylor expansion of 3 in N 1.250 * [taylor]: Taking taylor expansion of (log (pow N 1/3)) in N 1.250 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.250 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.250 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.250 * [taylor]: Taking taylor expansion of 1/3 in N 1.250 * [taylor]: Taking taylor expansion of (log N) in N 1.250 * [taylor]: Taking taylor expansion of N in N 1.250 * [taylor]: Taking taylor expansion of (+ (log (+ (/ 1 N) 1.0)) (* 3 (log (pow N 1/3)))) in N 1.250 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.250 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.250 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.250 * [taylor]: Taking taylor expansion of N in N 1.251 * [taylor]: Taking taylor expansion of 1.0 in N 1.251 * [taylor]: Taking taylor expansion of (* 3 (log (pow N 1/3))) in N 1.251 * [taylor]: Taking taylor expansion of 3 in N 1.251 * [taylor]: Taking taylor expansion of (log (pow N 1/3)) in N 1.251 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.251 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.251 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.251 * [taylor]: Taking taylor expansion of 1/3 in N 1.251 * [taylor]: Taking taylor expansion of (log N) in N 1.251 * [taylor]: Taking taylor expansion of N in N 1.276 * [approximate]: Taking taylor expansion of (+ (* 3 (log (* (cbrt -1) (pow N 1/3)))) (log (- 1.0 (/ 1 N)))) in (N) around 0 1.276 * [taylor]: Taking taylor expansion of (+ (* 3 (log (* (cbrt -1) (pow N 1/3)))) (log (- 1.0 (/ 1 N)))) in N 1.276 * [taylor]: Taking taylor expansion of (* 3 (log (* (cbrt -1) (pow N 1/3)))) in N 1.276 * [taylor]: Taking taylor expansion of 3 in N 1.276 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow N 1/3))) in N 1.276 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow N 1/3)) in N 1.276 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.276 * [taylor]: Taking taylor expansion of -1 in N 1.277 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.277 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.277 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.277 * [taylor]: Taking taylor expansion of 1/3 in N 1.277 * [taylor]: Taking taylor expansion of (log N) in N 1.277 * [taylor]: Taking taylor expansion of N in N 1.279 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.279 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.279 * [taylor]: Taking taylor expansion of 1.0 in N 1.279 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.279 * [taylor]: Taking taylor expansion of N in N 1.280 * [taylor]: Taking taylor expansion of (+ (* 3 (log (* (cbrt -1) (pow N 1/3)))) (log (- 1.0 (/ 1 N)))) in N 1.280 * [taylor]: Taking taylor expansion of (* 3 (log (* (cbrt -1) (pow N 1/3)))) in N 1.280 * [taylor]: Taking taylor expansion of 3 in N 1.280 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow N 1/3))) in N 1.280 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow N 1/3)) in N 1.280 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.280 * [taylor]: Taking taylor expansion of -1 in N 1.280 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.281 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.281 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.281 * [taylor]: Taking taylor expansion of 1/3 in N 1.281 * [taylor]: Taking taylor expansion of (log N) in N 1.281 * [taylor]: Taking taylor expansion of N in N 1.282 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.282 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.282 * [taylor]: Taking taylor expansion of 1.0 in N 1.282 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.282 * [taylor]: Taking taylor expansion of N in N 1.310 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.310 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 1.310 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.310 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.310 * [taylor]: Taking taylor expansion of N in N 1.310 * [taylor]: Taking taylor expansion of 1.0 in N 1.311 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.311 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.311 * [taylor]: Taking taylor expansion of N in N 1.311 * [taylor]: Taking taylor expansion of 1.0 in N 1.322 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 1.322 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.322 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.322 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.322 * [taylor]: Taking taylor expansion of N in N 1.322 * [taylor]: Taking taylor expansion of 1.0 in N 1.323 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.323 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.323 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.323 * [taylor]: Taking taylor expansion of N in N 1.323 * [taylor]: Taking taylor expansion of 1.0 in N 1.335 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 1.335 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.335 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.335 * [taylor]: Taking taylor expansion of 1.0 in N 1.335 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.335 * [taylor]: Taking taylor expansion of N in N 1.336 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.336 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.336 * [taylor]: Taking taylor expansion of 1.0 in N 1.336 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.336 * [taylor]: Taking taylor expansion of N in N 1.354 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.354 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 1.354 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.354 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.354 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.354 * [taylor]: Taking taylor expansion of 1/3 in N 1.354 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.354 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.354 * [taylor]: Taking taylor expansion of N in N 1.355 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.355 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.355 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.355 * [taylor]: Taking taylor expansion of 1/3 in N 1.355 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.355 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.355 * [taylor]: Taking taylor expansion of N in N 1.404 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 1.404 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.405 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.405 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.405 * [taylor]: Taking taylor expansion of 1/3 in N 1.405 * [taylor]: Taking taylor expansion of (log N) in N 1.405 * [taylor]: Taking taylor expansion of N in N 1.405 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.405 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.405 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.405 * [taylor]: Taking taylor expansion of 1/3 in N 1.405 * [taylor]: Taking taylor expansion of (log N) in N 1.405 * [taylor]: Taking taylor expansion of N in N 1.457 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow N 1/3)) in (N) around 0 1.457 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow N 1/3)) in N 1.457 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.457 * [taylor]: Taking taylor expansion of -1 in N 1.458 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.458 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.458 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.458 * [taylor]: Taking taylor expansion of 1/3 in N 1.458 * [taylor]: Taking taylor expansion of (log N) in N 1.458 * [taylor]: Taking taylor expansion of N in N 1.459 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow N 1/3)) in N 1.459 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.459 * [taylor]: Taking taylor expansion of -1 in N 1.459 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.459 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.459 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.459 * [taylor]: Taking taylor expansion of 1/3 in N 1.459 * [taylor]: Taking taylor expansion of (log N) in N 1.459 * [taylor]: Taking taylor expansion of N in N 1.522 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1) 1.522 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 1.522 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.522 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.522 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.522 * [taylor]: Taking taylor expansion of 1/3 in N 1.522 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.522 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.522 * [taylor]: Taking taylor expansion of N in N 1.523 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.523 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.523 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.523 * [taylor]: Taking taylor expansion of 1/3 in N 1.523 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.523 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.523 * [taylor]: Taking taylor expansion of N in N 1.577 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 1.577 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.577 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.577 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.577 * [taylor]: Taking taylor expansion of 1/3 in N 1.577 * [taylor]: Taking taylor expansion of (log N) in N 1.577 * [taylor]: Taking taylor expansion of N in N 1.578 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.578 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.578 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.578 * [taylor]: Taking taylor expansion of 1/3 in N 1.578 * [taylor]: Taking taylor expansion of (log N) in N 1.578 * [taylor]: Taking taylor expansion of N in N 1.625 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow N 1/3)) in (N) around 0 1.625 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow N 1/3)) in N 1.625 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.625 * [taylor]: Taking taylor expansion of -1 in N 1.626 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.626 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.626 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.626 * [taylor]: Taking taylor expansion of 1/3 in N 1.626 * [taylor]: Taking taylor expansion of (log N) in N 1.626 * [taylor]: Taking taylor expansion of N in N 1.627 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow N 1/3)) in N 1.627 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.627 * [taylor]: Taking taylor expansion of -1 in N 1.627 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.627 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.627 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.627 * [taylor]: Taking taylor expansion of 1/3 in N 1.627 * [taylor]: Taking taylor expansion of (log N) in N 1.627 * [taylor]: Taking taylor expansion of N in N 1.691 * * * [progress]: simplifying candidates 1.692 * [simplify]: Simplifying using # : (* (* (exp (* 2 (log (cbrt (/ 1 N))))) (+ N 1.0)) (cbrt (/ 1 N))) (* (exp (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0)))) (cbrt (/ 1 N))) (log (+ (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0))) (log (cbrt (/ 1 N))))) (exp (+ (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0))) (log (cbrt (/ 1 N))))) (* (cbrt (+ (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0))) (log (cbrt (/ 1 N))))) (cbrt (+ (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0))) (log (cbrt (/ 1 N)))))) (cbrt (+ (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0))) (log (cbrt (/ 1 N))))) (* (* (+ (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0))) (log (cbrt (/ 1 N)))) (+ (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0))) (log (cbrt (/ 1 N))))) (+ (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0))) (log (cbrt (/ 1 N))))) (sqrt (+ (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0))) (log (cbrt (/ 1 N))))) (sqrt (+ (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0))) (log (cbrt (/ 1 N))))) (+ (pow (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0))) 3) (pow (log (cbrt (/ 1 N))) 3)) (+ (* (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0))) (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0)))) (- (* (log (cbrt (/ 1 N))) (log (cbrt (/ 1 N)))) (* (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0))) (log (cbrt (/ 1 N)))))) (- (* (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0))) (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0)))) (* (log (cbrt (/ 1 N))) (log (cbrt (/ 1 N))))) (- (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0))) (log (cbrt (/ 1 N)))) (+ (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0))) (log (cbrt (/ 1 N)))) (+ (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0))) (log (cbrt (/ 1 N)))) (+ (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0))) (log (cbrt (* (cbrt (/ 1 N)) (cbrt (/ 1 N)))))) (+ (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0))) (log (cbrt (sqrt (/ 1 N))))) (+ (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0))) (log (cbrt (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N)))))) (+ (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0))) (log (cbrt (/ (* (cbrt 1) (cbrt 1)) (sqrt N))))) (+ (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0))) (log (cbrt (/ (* (cbrt 1) (cbrt 1)) 1)))) (+ (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0))) (log (cbrt (/ (sqrt 1) (* (cbrt N) (cbrt N)))))) (+ (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0))) (log (cbrt (/ (sqrt 1) (sqrt N))))) (+ (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0))) (log (cbrt (/ (sqrt 1) 1)))) (+ (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N)))))) (+ (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0))) (log (cbrt (/ 1 (sqrt N))))) (+ (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0))) (log (cbrt (/ 1 1)))) (+ (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0))) (log (cbrt 1))) (+ (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0))) (log (cbrt 1))) (+ (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0))) (log (* (cbrt (cbrt (/ 1 N))) (cbrt (cbrt (/ 1 N)))))) (+ (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0))) (log (sqrt (cbrt (/ 1 N))))) (+ (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0))) (log 1)) (+ (log (+ N 1.0)) (log (cbrt (/ 1 N)))) (+ (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0))) (log (cbrt 1))) (- (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (cbrt (/ 1 N)))) (- (log (- N 1.0)) (log (cbrt (/ 1 N)))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (cbrt (/ 1 N))) (exp (cbrt (/ 1 N))) (cbrt (* (cbrt (/ 1 N)) (cbrt (/ 1 N)))) (cbrt (cbrt (/ 1 N))) (cbrt (sqrt (/ 1 N))) (cbrt (sqrt (/ 1 N))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N)))) (cbrt (/ (cbrt 1) (cbrt N))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (sqrt N))) (cbrt (/ (cbrt 1) (sqrt N))) (cbrt (/ (* (cbrt 1) (cbrt 1)) 1)) (cbrt (/ (cbrt 1) N)) (cbrt (/ (sqrt 1) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt 1) (cbrt N))) (cbrt (/ (sqrt 1) (sqrt N))) (cbrt (/ (sqrt 1) (sqrt N))) (cbrt (/ (sqrt 1) 1)) (cbrt (/ (sqrt 1) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ 1 (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ 1 N)) (cbrt 1) (cbrt (/ 1 N)) (cbrt 1) (cbrt (/ 1 N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt (/ 1 N))) (cbrt (cbrt (/ 1 N)))) (cbrt (cbrt (/ 1 N))) (* (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (cbrt (/ 1 N))) (sqrt (cbrt (/ 1 N))) (sqrt (cbrt (/ 1 N))) (log (cbrt (/ 1 N))) (exp (cbrt (/ 1 N))) (cbrt (* (cbrt (/ 1 N)) (cbrt (/ 1 N)))) (cbrt (cbrt (/ 1 N))) (cbrt (sqrt (/ 1 N))) (cbrt (sqrt (/ 1 N))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N)))) (cbrt (/ (cbrt 1) (cbrt N))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (sqrt N))) (cbrt (/ (cbrt 1) (sqrt N))) (cbrt (/ (* (cbrt 1) (cbrt 1)) 1)) (cbrt (/ (cbrt 1) N)) (cbrt (/ (sqrt 1) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt 1) (cbrt N))) (cbrt (/ (sqrt 1) (sqrt N))) (cbrt (/ (sqrt 1) (sqrt N))) (cbrt (/ (sqrt 1) 1)) (cbrt (/ (sqrt 1) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ 1 (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ 1 N)) (cbrt 1) (cbrt (/ 1 N)) (cbrt 1) (cbrt (/ 1 N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt (/ 1 N))) (cbrt (cbrt (/ 1 N)))) (cbrt (cbrt (/ 1 N))) (* (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (cbrt (/ 1 N))) (sqrt (cbrt (/ 1 N))) (sqrt (cbrt (/ 1 N))) (- (+ (* 3 (log (pow N -1/3))) (+ (* 1.0 N) (log 1.0))) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (+ (* 1.0 (/ 1 N)) (* 3 (log (pow (/ 1 N) 1/3)))) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (+ (* 3 (log (* (pow (/ -1 N) 1/3) (cbrt -1)))) (log -1))) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (pow N -1/3) (pow (/ 1 N) 1/3) (* (pow (/ -1 N) 1/3) (cbrt -1)) (pow N -1/3) (pow (/ 1 N) 1/3) (* (pow (/ -1 N) 1/3) (cbrt -1)) 1.698 * * [simplify]: iteration 0 : 409 enodes (cost 879 ) 1.705 * * [simplify]: iteration 1 : 1266 enodes (cost 801 ) 1.727 * * [simplify]: iteration 2 : 5001 enodes (cost 731 ) 1.732 * [simplify]: Simplified to: (* (/ 1 N) (+ N 1.0)) (* (/ 1 N) (+ N 1.0)) (log (+ (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0))) (log (cbrt (/ 1 N))))) (* (/ 1 N) (+ N 1.0)) (* (cbrt (+ (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0))) (log (cbrt (/ 1 N))))) (cbrt (+ (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0))) (log (cbrt (/ 1 N)))))) (cbrt (+ (+ (* 2 (log (cbrt (/ 1 N)))) (log (+ N 1.0))) (log (cbrt (/ 1 N))))) (pow (+ (+ (log (+ N 1.0)) (log (cbrt (/ 1 N)))) (* 2/3 (log (/ 1 N)))) 3) (sqrt (+ (+ (* 2 (log (cbrt 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(log (/ 1 N)))) (+ (+ (log (+ N 1.0)) (log (cbrt (/ (* (cbrt 1) (cbrt 1)) 1)))) (* 2/3 (log (/ 1 N)))) (+ (+ (log (+ N 1.0)) (log (cbrt (/ 1 (* (cbrt N) (cbrt N)))))) (* 2/3 (log (/ 1 N)))) (+ (+ (log (+ N 1.0)) (log (cbrt (/ 1 (sqrt N))))) (* 2/3 (log (/ 1 N)))) (+ (+ (log (+ N 1.0)) (log (cbrt 1))) (* 2/3 (log (/ 1 N)))) (+ (+ (log (+ N 1.0)) (log (cbrt (/ 1 (* (cbrt N) (cbrt N)))))) (* 2/3 (log (/ 1 N)))) (+ (+ (log (+ N 1.0)) (log (cbrt (/ 1 (sqrt N))))) (* 2/3 (log (/ 1 N)))) (+ (+ (log (+ N 1.0)) (log (cbrt 1))) (* 2/3 (log (/ 1 N)))) (+ (+ (log (+ N 1.0)) (log (cbrt 1))) (* 2/3 (log (/ 1 N)))) (+ (+ (log (+ N 1.0)) (log (cbrt 1))) (* 2/3 (log (/ 1 N)))) (+ (* 2 (+ (* -1/3 (log N)) (log (cbrt (cbrt (/ 1 N)))))) (log (+ N 1.0))) (+ (+ (log (+ N 1.0)) (log (sqrt (cbrt (/ 1 N))))) (* 2/3 (log (/ 1 N)))) (+ (* 2/3 (log (/ 1 N))) (log (+ N 1.0))) (+ (log (+ N 1.0)) (* (log (/ 1 N)) 1/3)) (+ (+ (log (+ N 1.0)) (log (cbrt 1))) (* 2/3 (log (/ 1 N)))) (- (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (cbrt (/ 1 N)))) (- (log (- N 1.0)) (log (cbrt (/ 1 N)))) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (* -1/3 (log N)) (exp (cbrt (/ 1 N))) (cbrt (* (cbrt (/ 1 N)) (cbrt (/ 1 N)))) (cbrt (cbrt (/ 1 N))) (cbrt (sqrt (/ 1 N))) (cbrt (sqrt (/ 1 N))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N)))) (cbrt (/ (cbrt 1) (cbrt N))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (sqrt N))) (cbrt (/ (cbrt 1) (sqrt N))) (cbrt (/ (* (cbrt 1) (cbrt 1)) 1)) (cbrt (/ (cbrt 1) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ 1 (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ 1 (sqrt N))) (cbrt 1) (pow (/ 1 N) 1/3) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ 1 (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ 1 (sqrt N))) (cbrt 1) (pow (/ 1 N) 1/3) (cbrt 1) (pow (/ 1 N) 1/3) (cbrt 1) (pow (/ 1 N) 1/3) (cbrt 1) (cbrt N) (* (cbrt (cbrt (/ 1 N))) (cbrt (cbrt (/ 1 N)))) (cbrt (cbrt (/ 1 N))) (/ 1 N) (sqrt (cbrt (/ 1 N))) (sqrt (cbrt (/ 1 N))) (* -1/3 (log N)) (exp (cbrt (/ 1 N))) (cbrt (* (cbrt (/ 1 N)) (cbrt (/ 1 N)))) (cbrt (cbrt (/ 1 N))) (cbrt (sqrt (/ 1 N))) (cbrt (sqrt (/ 1 N))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N)))) (cbrt (/ (cbrt 1) (cbrt N))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (sqrt N))) (cbrt (/ (cbrt 1) (sqrt N))) (cbrt (/ (* (cbrt 1) (cbrt 1)) 1)) (cbrt (/ (cbrt 1) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ 1 (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ 1 (sqrt N))) (cbrt 1) (pow (/ 1 N) 1/3) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ 1 (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ 1 (sqrt N))) (cbrt 1) (pow (/ 1 N) 1/3) (cbrt 1) (pow (/ 1 N) 1/3) (cbrt 1) (pow (/ 1 N) 1/3) (cbrt 1) (cbrt N) (* (cbrt (cbrt (/ 1 N))) (cbrt (cbrt (/ 1 N)))) (cbrt (cbrt (/ 1 N))) (/ 1 N) (sqrt (cbrt (/ 1 N))) (sqrt (cbrt (/ 1 N))) (+ (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (* -1 (log N))) (+ (+ (log (/ 1 N)) (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (log N)) (- (+ (/ 1.0 N) (- (+ (* 3 (log (* (pow (/ -1 N) 1/3) (cbrt -1)))) (log -1)) (log (/ -1 N)))) (/ (/ 0.5 N) N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (+ (/ 1.0 N) (- (log -1) (log (/ -1 N)))) (/ (/ 0.5 N) N)) (pow N -1/3) (pow (/ 1 N) 1/3) (* (pow (/ -1 N) 1/3) (cbrt -1)) (pow N -1/3) (pow (/ 1 N) 1/3) (* (pow (/ -1 N) 1/3) (cbrt -1)) 1.732 * * * [progress]: adding candidates to table 1.990 * [progress]: [Phase 3 of 3] Extracting. 1.990 * * [regime]: Finding splitpoints for: (# # # #) 1.992 * * * [regime-changes]: Trying 1 branch expressions: (N) 1.992 * * * * [regimes]: Trying to branch on N from (# # # #) 2.017 * * * [regime]: Found split indices: #