14.436 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.040 * * * [progress]: [2/2] Setting up program. 0.042 * [progress]: [Phase 2 of 3] Improving. 0.042 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.044 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.046 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.047 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.047 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.047 * * [progress]: iteration 1 / 4 0.047 * * * [progress]: picking best candidate 0.049 * * * * [pick]: Picked # 0.049 * * * [progress]: localizing error 0.055 * * * [progress]: generating rewritten candidates 0.055 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.064 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.070 * * * [progress]: generating series expansions 0.070 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.070 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.070 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.070 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.070 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.070 * [taylor]: Taking taylor expansion of N in N 0.070 * [taylor]: Taking taylor expansion of 1.0 in N 0.071 * [taylor]: Taking taylor expansion of (log N) in N 0.071 * [taylor]: Taking taylor expansion of N in N 0.071 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.071 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.071 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.071 * [taylor]: Taking taylor expansion of N in N 0.071 * [taylor]: Taking taylor expansion of 1.0 in N 0.072 * [taylor]: Taking taylor expansion of (log N) in N 0.072 * [taylor]: Taking taylor expansion of N in N 0.095 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.095 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.095 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.095 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.095 * [taylor]: Taking taylor expansion of N in N 0.095 * [taylor]: Taking taylor expansion of 1.0 in N 0.096 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.096 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.096 * [taylor]: Taking taylor expansion of N in N 0.096 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.096 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.096 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.096 * [taylor]: Taking taylor expansion of N in N 0.097 * [taylor]: Taking taylor expansion of 1.0 in N 0.097 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.097 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.097 * [taylor]: Taking taylor expansion of N in N 0.128 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.128 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.128 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.128 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.128 * [taylor]: Taking taylor expansion of 1.0 in N 0.128 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.128 * [taylor]: Taking taylor expansion of N in N 0.129 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.130 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.130 * [taylor]: Taking taylor expansion of -1 in N 0.130 * [taylor]: Taking taylor expansion of N in N 0.130 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.130 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.130 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.130 * [taylor]: Taking taylor expansion of 1.0 in N 0.130 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.130 * [taylor]: Taking taylor expansion of N in N 0.131 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.131 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.131 * [taylor]: Taking taylor expansion of -1 in N 0.131 * [taylor]: Taking taylor expansion of N in N 0.169 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.169 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.169 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.169 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.169 * [taylor]: Taking taylor expansion of N in N 0.169 * [taylor]: Taking taylor expansion of 1.0 in N 0.170 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.170 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.170 * [taylor]: Taking taylor expansion of N in N 0.170 * [taylor]: Taking taylor expansion of 1.0 in N 0.182 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.182 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.182 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.182 * [taylor]: Taking taylor expansion of N in N 0.182 * [taylor]: Taking taylor expansion of 1.0 in N 0.183 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.183 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.183 * [taylor]: Taking taylor expansion of N in N 0.183 * [taylor]: Taking taylor expansion of 1.0 in N 0.196 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.196 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.196 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.196 * [taylor]: Taking taylor expansion of 1.0 in N 0.196 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.196 * [taylor]: Taking taylor expansion of N in N 0.197 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.197 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.197 * [taylor]: Taking taylor expansion of 1.0 in N 0.197 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.197 * [taylor]: Taking taylor expansion of N in N 0.211 * * * [progress]: simplifying candidates 0.213 * [simplify]: Simplifying using # : (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ N 1.0) N) (/ (+ N 1.0) (exp (log N))) (/ (exp (log (+ N 1.0))) N) (/ (exp (log (+ N 1.0))) (exp (log 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)))) (- (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)) (- (log N)) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (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))) (- (+ (* 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 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)))) 0.218 * * [simplify]: iteration 0 : 276 enodes (cost 601 ) 0.223 * * [simplify]: iteration 1 : 839 enodes (cost 450 ) 0.239 * * [simplify]: iteration 2 : 3608 enodes (cost 355 ) 0.332 * * [simplify]: iteration 3 : 5001 enodes (cost 351 ) 0.334 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (log (/ 1 N)) (log (/ 1 N)) (log (/ 1 N)) (log (/ 1 N)) (/ (+ N 1.0) N) (/ (+ N 1.0) N) (/ (+ N 1.0) N) (/ (+ 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)) (fma (log (+ N 1.0)) (+ (log (+ N 1.0)) (log N)) (* (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)) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (* 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))) (fma 1.0 N (- (log 1.0) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N)))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (fma 1.0 N (- (log 1.0) (* 1/2 (/ (pow N 2) (pow 1.0 2))))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (log N)) (fma 1.0 (/ 1 N) (- (log -1) (fma 0.5 (/ 1 (pow N 2)) (log (/ -1 N))))) 0.335 * * * [progress]: adding candidates to table 0.435 * * [progress]: iteration 2 / 4 0.435 * * * [progress]: picking best candidate 0.441 * * * * [pick]: Picked # 0.441 * * * [progress]: localizing error 0.446 * * * [progress]: generating rewritten candidates 0.446 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.454 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.462 * * * [progress]: generating series expansions 0.462 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.463 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.463 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.463 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.463 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.463 * [taylor]: Taking taylor expansion of N in N 0.463 * [taylor]: Taking taylor expansion of 1.0 in N 0.463 * [taylor]: Taking taylor expansion of N in N 0.464 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.464 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.464 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.464 * [taylor]: Taking taylor expansion of N in N 0.464 * [taylor]: Taking taylor expansion of 1.0 in N 0.464 * [taylor]: Taking taylor expansion of N in N 0.478 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.478 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.478 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.478 * [taylor]: Taking taylor expansion of N in N 0.478 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.478 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.478 * [taylor]: Taking taylor expansion of N in N 0.478 * [taylor]: Taking taylor expansion of 1.0 in N 0.480 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.480 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.480 * [taylor]: Taking taylor expansion of N in N 0.480 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.480 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.480 * [taylor]: Taking taylor expansion of N in N 0.480 * [taylor]: Taking taylor expansion of 1.0 in N 0.506 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.507 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.507 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.507 * [taylor]: Taking taylor expansion of -1 in N 0.507 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.507 * [taylor]: Taking taylor expansion of N in N 0.507 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.507 * [taylor]: Taking taylor expansion of 1.0 in N 0.507 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.507 * [taylor]: Taking taylor expansion of N in N 0.510 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.510 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.510 * [taylor]: Taking taylor expansion of -1 in N 0.510 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.510 * [taylor]: Taking taylor expansion of N in N 0.510 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.510 * [taylor]: Taking taylor expansion of 1.0 in N 0.510 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.510 * [taylor]: Taking taylor expansion of N in N 0.547 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.548 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.548 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.548 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.548 * [taylor]: Taking taylor expansion of N in N 0.548 * [taylor]: Taking taylor expansion of 1.0 in N 0.548 * [taylor]: Taking taylor expansion of N in N 0.548 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.548 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.548 * [taylor]: Taking taylor expansion of N in N 0.548 * [taylor]: Taking taylor expansion of 1.0 in N 0.548 * [taylor]: Taking taylor expansion of N in N 0.555 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.555 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.555 * [taylor]: Taking taylor expansion of N in N 0.555 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.555 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.555 * [taylor]: Taking taylor expansion of N in N 0.555 * [taylor]: Taking taylor expansion of 1.0 in N 0.555 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.555 * [taylor]: Taking taylor expansion of N in N 0.555 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.555 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.555 * [taylor]: Taking taylor expansion of N in N 0.556 * [taylor]: Taking taylor expansion of 1.0 in N 0.569 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.569 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.569 * [taylor]: Taking taylor expansion of -1 in N 0.569 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.569 * [taylor]: Taking taylor expansion of N in N 0.569 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.569 * [taylor]: Taking taylor expansion of 1.0 in N 0.569 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.569 * [taylor]: Taking taylor expansion of N in N 0.570 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.570 * [taylor]: Taking taylor expansion of -1 in N 0.570 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.570 * [taylor]: Taking taylor expansion of N in N 0.570 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.570 * [taylor]: Taking taylor expansion of 1.0 in N 0.570 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.570 * [taylor]: Taking taylor expansion of N in N 0.594 * * * [progress]: simplifying candidates 0.598 * [simplify]: Simplifying using # : (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (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))) (log (- N)) (log 1) (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) (* (cbrt N) (cbrt N)))) (log (cbrt N)) (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)) (log (/ (+ N 1.0) 1)) (log N) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (/ N (cbrt (+ N 1.0)))) (log (sqrt (+ N 1.0))) (log (/ N (sqrt (+ N 1.0)))) (log 1) (log (/ N (+ N 1.0))) (log 1) (log (/ N (+ N 1.0))) (log (+ (pow N 3) (pow 1.0 3))) (log (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (- (* N N) (* 1.0 1.0))) (log (* N (- N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (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))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ 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)) (- (+ N 1.0)) (- 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) 0.603 * * [simplify]: iteration 0 : 275 enodes (cost 462 ) 0.608 * * [simplify]: iteration 1 : 907 enodes (cost 429 ) 0.624 * * [simplify]: iteration 2 : 3899 enodes (cost 419 ) 0.706 * * [simplify]: iteration 3 : 5001 enodes (cost 417 ) 0.709 * [simplify]: Simplified to: (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (* 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))) (fma 2 (log (cbrt (+ N 1.0))) (log (/ 1 (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))) (log (- N)) 0 (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) (* (cbrt N) (cbrt N)))) (log (cbrt N)) (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)) (log (+ N 1.0)) (log N) (* 2 (log (cbrt (+ N 1.0)))) (log (/ N (cbrt (+ N 1.0)))) (log (sqrt (+ N 1.0))) (log (/ N (sqrt (+ N 1.0)))) 0 (log (/ N (+ N 1.0))) 0 (log (/ N (+ N 1.0))) (log (+ (pow N 3) (pow 1.0 3))) (log (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (- (* N N) (* 1.0 1.0))) (log (* N (- N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (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))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ 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)) (- (+ N 1.0)) (- 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)) (fma N (* 1.0 (- 1.0 N)) (pow N 3)) (* N (- N 1.0)) (fma 1.0 N (- (log 1.0) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N)))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3))) (fma 1.0 (/ 1 N) 1) (fma 1.0 (/ 1 N) 1) (fma 1.0 (/ 1 N) 1) 0.710 * * * [progress]: adding candidates to table 0.815 * * [progress]: iteration 3 / 4 0.815 * * * [progress]: picking best candidate 0.819 * * * * [pick]: Picked # 0.819 * * * [progress]: localizing error 0.828 * * * [progress]: generating rewritten candidates 0.828 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.834 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 0.840 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.847 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.861 * * * [progress]: generating series expansions 0.861 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.863 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.863 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.864 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.864 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.864 * [taylor]: Taking taylor expansion of N in N 0.864 * [taylor]: Taking taylor expansion of 1.0 in N 0.864 * [taylor]: Taking taylor expansion of N in N 0.865 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.865 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.865 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.865 * [taylor]: Taking taylor expansion of N in N 0.865 * [taylor]: Taking taylor expansion of 1.0 in N 0.865 * [taylor]: Taking taylor expansion of N in N 0.880 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.880 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.880 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.880 * [taylor]: Taking taylor expansion of N in N 0.880 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.880 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.880 * [taylor]: Taking taylor expansion of N in N 0.880 * [taylor]: Taking taylor expansion of 1.0 in N 0.882 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.882 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.882 * [taylor]: Taking taylor expansion of N in N 0.882 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.882 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.882 * [taylor]: Taking taylor expansion of N in N 0.882 * [taylor]: Taking taylor expansion of 1.0 in N 0.910 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.910 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.910 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.910 * [taylor]: Taking taylor expansion of -1 in N 0.910 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.910 * [taylor]: Taking taylor expansion of N in N 0.910 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.910 * [taylor]: Taking taylor expansion of 1.0 in N 0.910 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.910 * [taylor]: Taking taylor expansion of N in N 0.913 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.913 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.913 * [taylor]: Taking taylor expansion of -1 in N 0.913 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.913 * [taylor]: Taking taylor expansion of N in N 0.913 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.913 * [taylor]: Taking taylor expansion of 1.0 in N 0.913 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.913 * [taylor]: Taking taylor expansion of N in N 0.951 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 0.951 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.951 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.951 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.951 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.951 * [taylor]: Taking taylor expansion of N in N 0.951 * [taylor]: Taking taylor expansion of 1.0 in N 0.952 * [taylor]: Taking taylor expansion of N in N 0.952 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.952 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.952 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.952 * [taylor]: Taking taylor expansion of N in N 0.952 * [taylor]: Taking taylor expansion of 1.0 in N 0.952 * [taylor]: Taking taylor expansion of N in N 0.966 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.966 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.966 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.966 * [taylor]: Taking taylor expansion of N in N 0.966 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.966 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.966 * [taylor]: Taking taylor expansion of N in N 0.967 * [taylor]: Taking taylor expansion of 1.0 in N 0.969 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.969 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.969 * [taylor]: Taking taylor expansion of N in N 0.969 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.969 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.969 * [taylor]: Taking taylor expansion of N in N 0.969 * [taylor]: Taking taylor expansion of 1.0 in N 0.995 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.995 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.995 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.995 * [taylor]: Taking taylor expansion of -1 in N 0.995 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.995 * [taylor]: Taking taylor expansion of N in N 0.995 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.995 * [taylor]: Taking taylor expansion of 1.0 in N 0.995 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.995 * [taylor]: Taking taylor expansion of N in N 0.998 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.998 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.998 * [taylor]: Taking taylor expansion of -1 in N 0.998 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.998 * [taylor]: Taking taylor expansion of N in N 0.998 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.998 * [taylor]: Taking taylor expansion of 1.0 in N 0.999 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.999 * [taylor]: Taking taylor expansion of N in N 1.035 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.035 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.035 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.035 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.035 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.035 * [taylor]: Taking taylor expansion of N in N 1.035 * [taylor]: Taking taylor expansion of 1.0 in N 1.035 * [taylor]: Taking taylor expansion of N in N 1.036 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.036 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.036 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.036 * [taylor]: Taking taylor expansion of N in N 1.036 * [taylor]: Taking taylor expansion of 1.0 in N 1.036 * [taylor]: Taking taylor expansion of N in N 1.049 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.049 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.049 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.049 * [taylor]: Taking taylor expansion of N in N 1.049 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.049 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.049 * [taylor]: Taking taylor expansion of N in N 1.050 * [taylor]: Taking taylor expansion of 1.0 in N 1.051 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.052 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.052 * [taylor]: Taking taylor expansion of N in N 1.052 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.052 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.052 * [taylor]: Taking taylor expansion of N in N 1.052 * [taylor]: Taking taylor expansion of 1.0 in N 1.078 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.078 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.078 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.078 * [taylor]: Taking taylor expansion of -1 in N 1.078 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.078 * [taylor]: Taking taylor expansion of N in N 1.078 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.078 * [taylor]: Taking taylor expansion of 1.0 in N 1.078 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.079 * [taylor]: Taking taylor expansion of N in N 1.082 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.082 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.082 * [taylor]: Taking taylor expansion of -1 in N 1.082 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.082 * [taylor]: Taking taylor expansion of N in N 1.082 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.082 * [taylor]: Taking taylor expansion of 1.0 in N 1.082 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.082 * [taylor]: Taking taylor expansion of N in N 1.118 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.118 * [approximate]: Taking taylor expansion of (pow (pow (log (/ (+ N 1.0) N)) 2) 1/3) in (N) around 0 1.118 * [taylor]: Taking taylor expansion of (pow (pow (log (/ (+ N 1.0) N)) 2) 1/3) in N 1.119 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (/ (+ N 1.0) N)) 2)))) in N 1.119 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (/ (+ N 1.0) N)) 2))) in N 1.119 * [taylor]: Taking taylor expansion of 1/3 in N 1.119 * [taylor]: Taking taylor expansion of (log (pow (log (/ (+ N 1.0) N)) 2)) in N 1.119 * [taylor]: Taking taylor expansion of (pow (log (/ (+ N 1.0) N)) 2) in N 1.119 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.119 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.119 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.119 * [taylor]: Taking taylor expansion of N in N 1.119 * [taylor]: Taking taylor expansion of 1.0 in N 1.119 * [taylor]: Taking taylor expansion of N in N 1.123 * [taylor]: Taking taylor expansion of (pow (pow (log (/ (+ N 1.0) N)) 2) 1/3) in N 1.123 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (/ (+ N 1.0) N)) 2)))) in N 1.123 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (/ (+ N 1.0) N)) 2))) in N 1.123 * [taylor]: Taking taylor expansion of 1/3 in N 1.123 * [taylor]: Taking taylor expansion of (log (pow (log (/ (+ N 1.0) N)) 2)) in N 1.123 * [taylor]: Taking taylor expansion of (pow (log (/ (+ N 1.0) N)) 2) in N 1.123 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.123 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.123 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.123 * [taylor]: Taking taylor expansion of N in N 1.123 * [taylor]: Taking taylor expansion of 1.0 in N 1.123 * [taylor]: Taking taylor expansion of N in N 1.182 * [approximate]: Taking taylor expansion of (pow (pow (log (* N (+ (/ 1 N) 1.0))) 2) 1/3) in (N) around 0 1.182 * [taylor]: Taking taylor expansion of (pow (pow (log (* N (+ (/ 1 N) 1.0))) 2) 1/3) in N 1.182 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (* N (+ (/ 1 N) 1.0))) 2)))) in N 1.182 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (* N (+ (/ 1 N) 1.0))) 2))) in N 1.182 * [taylor]: Taking taylor expansion of 1/3 in N 1.182 * [taylor]: Taking taylor expansion of (log (pow (log (* N (+ (/ 1 N) 1.0))) 2)) in N 1.182 * [taylor]: Taking taylor expansion of (pow (log (* N (+ (/ 1 N) 1.0))) 2) in N 1.182 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.182 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.182 * [taylor]: Taking taylor expansion of N in N 1.182 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.182 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.182 * [taylor]: Taking taylor expansion of N in N 1.182 * [taylor]: Taking taylor expansion of 1.0 in N 1.192 * [taylor]: Taking taylor expansion of (pow (pow (log (* N (+ (/ 1 N) 1.0))) 2) 1/3) in N 1.192 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (* N (+ (/ 1 N) 1.0))) 2)))) in N 1.192 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (* N (+ (/ 1 N) 1.0))) 2))) in N 1.192 * [taylor]: Taking taylor expansion of 1/3 in N 1.192 * [taylor]: Taking taylor expansion of (log (pow (log (* N (+ (/ 1 N) 1.0))) 2)) in N 1.192 * [taylor]: Taking taylor expansion of (pow (log (* N (+ (/ 1 N) 1.0))) 2) in N 1.192 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.192 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.192 * [taylor]: Taking taylor expansion of N in N 1.192 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.192 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.192 * [taylor]: Taking taylor expansion of N in N 1.192 * [taylor]: Taking taylor expansion of 1.0 in N 1.261 * [approximate]: Taking taylor expansion of (pow (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 2) 1/3) in (N) around 0 1.261 * [taylor]: Taking taylor expansion of (pow (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 2) 1/3) in N 1.261 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 2)))) in N 1.261 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 2))) in N 1.261 * [taylor]: Taking taylor expansion of 1/3 in N 1.261 * [taylor]: Taking taylor expansion of (log (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 2)) in N 1.261 * [taylor]: Taking taylor expansion of (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 2) in N 1.261 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.261 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.261 * [taylor]: Taking taylor expansion of -1 in N 1.261 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.261 * [taylor]: Taking taylor expansion of N in N 1.261 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.261 * [taylor]: Taking taylor expansion of 1.0 in N 1.261 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.261 * [taylor]: Taking taylor expansion of N in N 1.274 * [taylor]: Taking taylor expansion of (pow (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 2) 1/3) in N 1.274 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 2)))) in N 1.274 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 2))) in N 1.274 * [taylor]: Taking taylor expansion of 1/3 in N 1.274 * [taylor]: Taking taylor expansion of (log (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 2)) in N 1.274 * [taylor]: Taking taylor expansion of (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 2) in N 1.274 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.275 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.275 * [taylor]: Taking taylor expansion of -1 in N 1.275 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.275 * [taylor]: Taking taylor expansion of N in N 1.275 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.275 * [taylor]: Taking taylor expansion of 1.0 in N 1.275 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.275 * [taylor]: Taking taylor expansion of N in N 1.337 * * * [progress]: simplifying candidates 1.340 * [simplify]: Simplifying using # : (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (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))) (log (- N)) (log 1) (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) (* (cbrt N) (cbrt N)))) (log (cbrt N)) (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)) (log (/ (+ N 1.0) 1)) (log N) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (/ N (cbrt (+ N 1.0)))) (log (sqrt (+ N 1.0))) (log (/ N (sqrt (+ N 1.0)))) (log 1) (log (/ N (+ N 1.0))) (log 1) (log (/ N (+ N 1.0))) (log (+ (pow N 3) (pow 1.0 3))) (log (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (- (* N N) (* 1.0 1.0))) (log (* N (- N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (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))) (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (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))) (log (- N)) (log 1) (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) (* (cbrt N) (cbrt N)))) (log (cbrt N)) (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)) (log (/ (+ N 1.0) 1)) (log N) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (/ N (cbrt (+ N 1.0)))) (log (sqrt (+ N 1.0))) (log (/ N (sqrt (+ N 1.0)))) (log 1) (log (/ N (+ N 1.0))) (log 1) (log (/ N (+ N 1.0))) (log (+ (pow N 3) (pow 1.0 3))) (log (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (- (* N N) (* 1.0 1.0))) (log (* N (- N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (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))) (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (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))) (log (- N)) (log 1) (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) (* (cbrt N) (cbrt N)))) (log (cbrt N)) (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)) (log (/ (+ N 1.0) 1)) (log N) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (/ N (cbrt (+ N 1.0)))) (log (sqrt (+ N 1.0))) (log (/ N (sqrt (+ N 1.0)))) (log 1) (log (/ N (+ N 1.0))) (log 1) (log (/ N (+ N 1.0))) (log (+ (pow N 3) (pow 1.0 3))) (log (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (- (* N N) (* 1.0 1.0))) (log (* N (- N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (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))) (expm1 (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))) (log1p (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))) (+ 1/3 1/3) (+ 1 1) (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (+ 1 1) (+ (log (cbrt (log (/ (+ N 1.0) N)))) (log (cbrt (log (/ (+ N 1.0) N))))) (log (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))) (exp (* (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)) (* (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (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))) (* (* (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N)))) (* (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))))) (* (cbrt (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))) (cbrt (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))))) (cbrt (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))) (* (* (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))) (sqrt (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))) (sqrt (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))) (* (cbrt 1) (cbrt 1)) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (* (cbrt (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))) (cbrt (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))))) (* (cbrt (cbrt (log (/ (+ N 1.0) N)))) (cbrt (cbrt (log (/ (+ N 1.0) N))))) (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N))))) (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N))))) (* (cbrt 1) (cbrt 1)) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (* (* (cbrt (cbrt (log (/ (+ N 1.0) N)))) (cbrt (cbrt (log (/ (+ N 1.0) N))))) (* (cbrt (cbrt (log (/ (+ N 1.0) N)))) (cbrt (cbrt (log (/ (+ N 1.0) N)))))) (* (cbrt (cbrt (log (/ (+ N 1.0) N)))) (cbrt (cbrt (log (/ (+ N 1.0) N))))) (* (sqrt (cbrt (log (/ (+ N 1.0) N)))) (sqrt (cbrt (log (/ (+ N 1.0) N))))) (* (sqrt (cbrt (log (/ (+ N 1.0) N)))) (sqrt (cbrt (log (/ (+ N 1.0) N))))) (* 1 1) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N))))) (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N))))) (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (cbrt (log (/ (+ N 1.0) N))))) (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (cbrt (log (/ (+ N 1.0) N))))) (* (sqrt (cbrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N))))) (* (sqrt (cbrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N))))) (* (sqrt (cbrt (log (/ (+ N 1.0) N)))) (sqrt (cbrt (log (/ (+ N 1.0) N))))) (* (sqrt (cbrt (log (/ (+ N 1.0) N)))) (sqrt (cbrt (log (/ (+ N 1.0) N))))) (* 2 1/3) (* 2 1) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt 1)) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (sqrt (log (/ (+ N 1.0) N))))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt 1)) (* (cbrt (log (/ (+ N 1.0) N))) (* (cbrt (cbrt (log (/ (+ N 1.0) N)))) (cbrt (cbrt (log (/ (+ N 1.0) N)))))) (* (cbrt (log (/ (+ N 1.0) N))) (sqrt (cbrt (log (/ (+ N 1.0) N))))) (* (cbrt (log (/ (+ N 1.0) N))) 1) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (* (cbrt (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N)))) (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N)))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (* (cbrt (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N)))) (* (sqrt (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N)))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) 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)))) (- (+ (* 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 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)))) (- (+ (* 0.3333333333333333 (* (pow N 2) (pow (/ 1 (pow (- (log 1.0) (log N)) 4)) 1/3))) (+ (* 0.8888888888888888 (* (* (pow N 2) (* (log 1.0) (log N))) (pow (/ 1 (pow (- (log 1.0) (log N)) 10)) 1/3))) (+ (* 1/3 (* (/ (* (pow N 2) (log N)) (pow 1.0 2)) (pow (/ 1 (pow (- (log 1.0) (log N)) 4)) 1/3))) (+ (pow (pow (- (log 1.0) (log N)) 2) 1/3) (* 0.6666666666666666 (* (* N (log 1.0)) (pow (/ 1 (pow (- (log 1.0) (log N)) 4)) 1/3))))))) (+ (* 0.4444444444444444 (* (* (pow N 2) (pow (log 1.0) 2)) (pow (/ 1 (pow (- (log 1.0) (log N)) 10)) 1/3))) (+ (* 0.4444444444444444 (* (* (pow N 2) (pow (log N) 2)) (pow (/ 1 (pow (- (log 1.0) (log N)) 10)) 1/3))) (+ (* 0.6666666666666666 (* (* N (log N)) (pow (/ 1 (pow (- (log 1.0) (log N)) 4)) 1/3))) (* 1/3 (* (/ (* (pow N 2) (log 1.0)) (pow 1.0 2)) (pow (/ 1 (pow (- (log 1.0) (log N)) 4)) 1/3))))))) (- (+ (exp (* 1/3 (+ (log 1.0) (* 2 (log (/ 1 N)))))) (* 0.36111111111111105 (/ (exp (* 1/3 (+ (log 1.0) (* 2 (log (/ 1 N)))))) (pow N 2)))) (+ (* 0.3333333333333333 (/ (exp (* 1/3 (+ (log 1.0) (* 2 (log (/ 1 N)))))) N)) (* 0.16666666666666666 (/ (exp (* 1/3 (+ (log 1.0) (* 2 (log (/ 1 N)))))) (* (pow N 2) (pow 1.0 2)))))) (- (+ (exp (* 1/3 (+ (log 1.0) (* 2 (log (/ -1 N)))))) (* 0.1944444444444444 (/ (exp (* 1/3 (+ (log 1.0) (* 2 (log (/ -1 N)))))) (pow N 2)))) (* 0.3333333333333333 (/ (exp (* 1/3 (+ (log 1.0) (* 2 (log (/ -1 N)))))) N))) 1.349 * * [simplify]: iteration 0 : 554 enodes (cost 1611 ) 1.358 * * [simplify]: iteration 1 : 2061 enodes (cost 1468 ) 1.393 * * [simplify]: iteration 2 : 5002 enodes (cost 1328 ) 1.401 * [simplify]: Simplified to: (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (* 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))) (fma 2 (log (cbrt (+ N 1.0))) (log (/ 1 (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))) (log (- N)) 0 (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) (* (cbrt N) (cbrt N)))) (log (cbrt N)) (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)) (log (+ N 1.0)) (log N) (* 2 (log (cbrt (+ N 1.0)))) (log (/ N (cbrt (+ N 1.0)))) (log (sqrt (+ N 1.0))) (log (/ N (sqrt (+ N 1.0)))) 0 (log (/ N (+ N 1.0))) 0 (log (/ N (+ N 1.0))) (log (+ (pow N 3) (pow 1.0 3))) (log (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (- (* N N) (* 1.0 1.0))) (log (* N (- N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (pow (sqrt (cbrt (log (/ (+ N 1.0) N)))) 4) (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))) (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (* 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))) (fma 2 (log (cbrt (+ N 1.0))) (log (/ 1 (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))) (log (- N)) 0 (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) (* (cbrt N) (cbrt N)))) (log (cbrt N)) (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)) (log (+ N 1.0)) (log N) (* 2 (log (cbrt (+ N 1.0)))) (log (/ N (cbrt (+ N 1.0)))) (log (sqrt (+ N 1.0))) (log (/ N (sqrt (+ N 1.0)))) 0 (log (/ N (+ N 1.0))) 0 (log (/ N (+ N 1.0))) (log (+ (pow N 3) (pow 1.0 3))) (log (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (- (* N N) (* 1.0 1.0))) (log (* N (- N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (pow (sqrt (cbrt (log (/ (+ N 1.0) N)))) 4) (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))) (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (* 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))) (fma 2 (log (cbrt (+ N 1.0))) (log (/ 1 (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))) (log (- N)) 0 (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) (* (cbrt N) (cbrt N)))) (log (cbrt N)) (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)) (log (+ N 1.0)) (log N) (* 2 (log (cbrt (+ N 1.0)))) (log (/ N (cbrt (+ N 1.0)))) (log (sqrt (+ N 1.0))) (log (/ N (sqrt (+ N 1.0)))) 0 (log (/ N (+ N 1.0))) 0 (log (/ N (+ N 1.0))) (log (+ (pow N 3) (pow 1.0 3))) (log (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (- (* N N) (* 1.0 1.0))) (log (* N (- N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (pow (sqrt (cbrt (log (/ (+ N 1.0) N)))) 4) (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))) (expm1 (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))) (log1p (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))) 2/3 2 (pow (cbrt (log (/ (+ N 1.0) N))) 6) (pow (sqrt (cbrt (log (/ (+ N 1.0) N)))) 4) 2 (* 2 (log (cbrt (log (/ (+ N 1.0) N))))) (* 2 (log (cbrt (log (/ (+ N 1.0) N))))) (pow (exp 1) (pow (sqrt (cbrt (log (/ (+ N 1.0) N)))) 4)) (pow (cbrt (log (/ (+ N 1.0) N))) 6) (pow (cbrt (log (/ (+ N 1.0) N))) 6) (pow (cbrt (log (/ (+ N 1.0) N))) 6) (pow (cbrt (log (/ (+ N 1.0) N))) 6) (* (cbrt (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))) (cbrt (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))))) (cbrt (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))) (pow (cbrt (log (/ (+ N 1.0) N))) 6) (fabs (cbrt (log (/ (+ N 1.0) N)))) (fabs (cbrt (log (/ (+ N 1.0) N)))) 1 (pow (sqrt (cbrt (log (/ (+ N 1.0) N)))) 4) 1 (pow (sqrt (cbrt (log (/ (+ N 1.0) N)))) 4) (* (cbrt (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))) (cbrt (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))))) (* (cbrt (cbrt (log (/ (+ N 1.0) N)))) (cbrt (cbrt (log (/ (+ N 1.0) N))))) (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N))))) (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N))))) 1 (pow (sqrt (cbrt (log (/ (+ N 1.0) N)))) 4) 1 (pow (sqrt (cbrt (log (/ (+ N 1.0) N)))) 4) (pow (cbrt (cbrt (log (/ (+ N 1.0) N)))) 4) (* (cbrt (cbrt (log (/ (+ N 1.0) N)))) (cbrt (cbrt (log (/ (+ N 1.0) N))))) (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))) 1 (pow (sqrt (cbrt (log (/ (+ N 1.0) N)))) 4) (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N))))) (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N))))) (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (cbrt (log (/ (+ N 1.0) N))))) (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (cbrt (log (/ (+ N 1.0) N))))) (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (cbrt (log (/ (+ N 1.0) N))))) (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (cbrt (log (/ (+ N 1.0) N))))) (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))) 2/3 2 (cbrt (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (sqrt (log (/ (+ N 1.0) N))))) (cbrt (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (* (cbrt (cbrt (log (/ (+ N 1.0) N)))) (cbrt (cbrt (log (/ (+ N 1.0) N)))))) (pow (sqrt (cbrt (log (/ (+ N 1.0) N)))) 3) (cbrt (log (/ (+ N 1.0) N))) (pow (sqrt (cbrt (log (/ (+ N 1.0) N)))) 4) (pow (cbrt (cbrt (log (/ (+ N 1.0) N)))) 4) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (sqrt (log (/ (+ N 1.0) N))))) (pow (sqrt (cbrt (log (/ (+ N 1.0) N)))) 4) (pow (cbrt (cbrt (log (/ (+ N 1.0) N)))) 4) (pow (sqrt (cbrt (log (/ (+ N 1.0) N)))) 3) (pow (sqrt (cbrt (log (/ (+ N 1.0) N)))) 4) (fma 1.0 N (- (log 1.0) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N)))) (fma (- 0.5) (/ 1 (pow N 2)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (fma (- 0.5) (/ 1 (pow N 2)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (fma 1.0 N (- (log 1.0) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N)))) (fma (- 0.5) (/ 1 (pow N 2)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (fma (- 0.5) (/ 1 (pow N 2)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (fma 1.0 N (- (log 1.0) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N)))) (fma (- 0.5) (/ 1 (pow N 2)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (fma (- 0.5) (/ 1 (pow N 2)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (+ (+ (+ (+ (* (pow N 2) (+ (* (pow (/ 1 (pow (- (log 1.0) (log N)) 4)) 1/3) 0.3333333333333333) (* (* (* (log 1.0) (log N)) (pow (/ 1 (pow (- (log 1.0) (log N)) 10)) 1/3)) 0.8888888888888888))) (* (pow (/ 1 (pow (- (log 1.0) (log N)) 4)) 1/3) (+ (* 1/3 (/ (* (pow N 2) (log N)) (pow 1.0 2))) (* 0.6666666666666666 (* N (log 1.0)))))) (pow (pow (- (log 1.0) (log N)) 2) 1/3)) (* (- (pow (/ 1 (pow (- (log 1.0) (log N)) 10)) 1/3)) (fma (* 0.4444444444444444 (pow (log 1.0) 2)) (pow N 2) (* 0.4444444444444444 (* (pow N 2) (pow (log N) 2)))))) (* (- (pow (/ 1 (pow (- (log 1.0) (log N)) 4)) 1/3)) (fma (* 0.6666666666666666 (log N)) N (* 1/3 (/ (* (pow N 2) (log 1.0)) (pow 1.0 2)))))) (+ (+ (fma (/ 0.36111111111111105 N) (/ (pow (exp (fma (log (/ 1 N)) 2 (log 1.0))) 1/3) N) (pow (exp (fma (log (/ 1 N)) 2 (log 1.0))) 1/3)) (* (- 0.16666666666666666) (* (/ (pow 1.0 1/3) (pow 1.0 2)) (/ (pow (/ 1 N) 2/3) (pow N 2))))) (* (- 0.3333333333333333) (/ (pow (exp (fma (log (/ 1 N)) 2 (log 1.0))) 1/3) N))) (+ (+ (/ (* (- (* (pow (/ -1 N) 2/3) (pow 1.0 1/3))) 0.3333333333333333) N) (* (/ 0.1944444444444444 N) (/ (pow (exp (fma (log (/ -1 N)) 2 (log 1.0))) 1/3) N))) (* (pow (/ -1 N) 2/3) (pow 1.0 1/3))) 1.402 * * * [progress]: adding candidates to table 1.750 * * [progress]: iteration 4 / 4 1.750 * * * [progress]: picking best candidate 1.755 * * * * [pick]: Picked # 1.755 * * * [progress]: localizing error 1.767 * * * [progress]: generating rewritten candidates 1.767 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.773 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1 1) 1.780 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1 1) 1.789 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1 1) 1.802 * * * [progress]: generating series expansions 1.802 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.802 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.802 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.802 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.802 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.802 * [taylor]: Taking taylor expansion of N in N 1.802 * [taylor]: Taking taylor expansion of 1.0 in N 1.802 * [taylor]: Taking taylor expansion of N in N 1.803 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.803 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.803 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.803 * [taylor]: Taking taylor expansion of N in N 1.803 * [taylor]: Taking taylor expansion of 1.0 in N 1.803 * [taylor]: Taking taylor expansion of N in N 1.817 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.817 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.817 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.817 * [taylor]: Taking taylor expansion of N in N 1.817 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.817 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.817 * [taylor]: Taking taylor expansion of N in N 1.818 * [taylor]: Taking taylor expansion of 1.0 in N 1.820 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.820 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.820 * [taylor]: Taking taylor expansion of N in N 1.820 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.820 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.820 * [taylor]: Taking taylor expansion of N in N 1.820 * [taylor]: Taking taylor expansion of 1.0 in N 1.847 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.847 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.847 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.847 * [taylor]: Taking taylor expansion of -1 in N 1.847 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.847 * [taylor]: Taking taylor expansion of N in N 1.847 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.847 * [taylor]: Taking taylor expansion of 1.0 in N 1.847 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.847 * [taylor]: Taking taylor expansion of N in N 1.850 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.850 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.850 * [taylor]: Taking taylor expansion of -1 in N 1.850 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.850 * [taylor]: Taking taylor expansion of N in N 1.850 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.850 * [taylor]: Taking taylor expansion of 1.0 in N 1.850 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.850 * [taylor]: Taking taylor expansion of N in N 1.888 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1 1) 1.888 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.888 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.888 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.888 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.888 * [taylor]: Taking taylor expansion of N in N 1.888 * [taylor]: Taking taylor expansion of 1.0 in N 1.888 * [taylor]: Taking taylor expansion of N in N 1.889 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.889 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.889 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.889 * [taylor]: Taking taylor expansion of N in N 1.889 * [taylor]: Taking taylor expansion of 1.0 in N 1.889 * [taylor]: Taking taylor expansion of N in N 1.904 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.904 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.904 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.904 * [taylor]: Taking taylor expansion of N in N 1.904 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.904 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.904 * [taylor]: Taking taylor expansion of N in N 1.904 * [taylor]: Taking taylor expansion of 1.0 in N 1.906 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.906 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.906 * [taylor]: Taking taylor expansion of N in N 1.906 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.906 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.906 * [taylor]: Taking taylor expansion of N in N 1.906 * [taylor]: Taking taylor expansion of 1.0 in N 1.933 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.933 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.933 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.933 * [taylor]: Taking taylor expansion of -1 in N 1.933 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.933 * [taylor]: Taking taylor expansion of N in N 1.933 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.934 * [taylor]: Taking taylor expansion of 1.0 in N 1.934 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.934 * [taylor]: Taking taylor expansion of N in N 1.940 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.940 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.940 * [taylor]: Taking taylor expansion of -1 in N 1.940 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.940 * [taylor]: Taking taylor expansion of N in N 1.940 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.940 * [taylor]: Taking taylor expansion of 1.0 in N 1.940 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.940 * [taylor]: Taking taylor expansion of N in N 1.974 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1 1) 1.974 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.974 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.974 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.974 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.974 * [taylor]: Taking taylor expansion of N in N 1.974 * [taylor]: Taking taylor expansion of 1.0 in N 1.974 * [taylor]: Taking taylor expansion of N in N 1.975 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.975 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.975 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.975 * [taylor]: Taking taylor expansion of N in N 1.975 * [taylor]: Taking taylor expansion of 1.0 in N 1.975 * [taylor]: Taking taylor expansion of N in N 1.988 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.989 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.989 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.989 * [taylor]: Taking taylor expansion of N in N 1.989 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.989 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.989 * [taylor]: Taking taylor expansion of N in N 1.989 * [taylor]: Taking taylor expansion of 1.0 in N 1.991 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.991 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.991 * [taylor]: Taking taylor expansion of N in N 1.991 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.991 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.991 * [taylor]: Taking taylor expansion of N in N 1.991 * [taylor]: Taking taylor expansion of 1.0 in N 2.020 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 2.020 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.020 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.020 * [taylor]: Taking taylor expansion of -1 in N 2.020 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.020 * [taylor]: Taking taylor expansion of N in N 2.020 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.020 * [taylor]: Taking taylor expansion of 1.0 in N 2.020 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.020 * [taylor]: Taking taylor expansion of N in N 2.024 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.024 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.024 * [taylor]: Taking taylor expansion of -1 in N 2.024 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.024 * [taylor]: Taking taylor expansion of N in N 2.024 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.024 * [taylor]: Taking taylor expansion of 1.0 in N 2.024 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.024 * [taylor]: Taking taylor expansion of N in N 2.058 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1 1) 2.058 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 2.058 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.058 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.058 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.058 * [taylor]: Taking taylor expansion of N in N 2.058 * [taylor]: Taking taylor expansion of 1.0 in N 2.058 * [taylor]: Taking taylor expansion of N in N 2.059 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.059 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.059 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.059 * [taylor]: Taking taylor expansion of N in N 2.059 * [taylor]: Taking taylor expansion of 1.0 in N 2.059 * [taylor]: Taking taylor expansion of N in N 2.073 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 2.073 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.073 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.073 * [taylor]: Taking taylor expansion of N in N 2.073 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.073 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.073 * [taylor]: Taking taylor expansion of N in N 2.073 * [taylor]: Taking taylor expansion of 1.0 in N 2.075 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.075 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.075 * [taylor]: Taking taylor expansion of N in N 2.075 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.075 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.075 * [taylor]: Taking taylor expansion of N in N 2.075 * [taylor]: Taking taylor expansion of 1.0 in N 2.106 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 2.106 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.106 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.106 * [taylor]: Taking taylor expansion of -1 in N 2.106 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.106 * [taylor]: Taking taylor expansion of N in N 2.106 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.106 * [taylor]: Taking taylor expansion of 1.0 in N 2.106 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.106 * [taylor]: Taking taylor expansion of N in N 2.109 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.109 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.109 * [taylor]: Taking taylor expansion of -1 in N 2.109 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.109 * [taylor]: Taking taylor expansion of N in N 2.109 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.109 * [taylor]: Taking taylor expansion of 1.0 in N 2.109 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.109 * [taylor]: Taking taylor expansion of N in N 2.142 * * * [progress]: simplifying candidates 2.144 * [simplify]: Simplifying using # : (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (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))) (log (- N)) (log 1) (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) (* (cbrt N) (cbrt N)))) (log (cbrt N)) (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)) (log (/ (+ N 1.0) 1)) (log N) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (/ N (cbrt (+ N 1.0)))) (log (sqrt (+ N 1.0))) (log (/ N (sqrt (+ N 1.0)))) (log 1) (log (/ N (+ N 1.0))) (log 1) (log (/ N (+ N 1.0))) (log (+ (pow N 3) (pow 1.0 3))) (log (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (- (* N N) (* 1.0 1.0))) (log (* N (- N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (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))) (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (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))) (log (- N)) (log 1) (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) (* (cbrt N) (cbrt N)))) (log (cbrt N)) (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)) (log (/ (+ N 1.0) 1)) (log N) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (/ N (cbrt (+ N 1.0)))) (log (sqrt (+ N 1.0))) (log (/ N (sqrt (+ N 1.0)))) (log 1) (log (/ N (+ N 1.0))) (log 1) (log (/ N (+ N 1.0))) (log (+ (pow N 3) (pow 1.0 3))) (log (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (- (* N N) (* 1.0 1.0))) (log (* N (- N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (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))) (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (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))) (log (- N)) (log 1) (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) (* (cbrt N) (cbrt N)))) (log (cbrt N)) (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)) (log (/ (+ N 1.0) 1)) (log N) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (/ N (cbrt (+ N 1.0)))) (log (sqrt (+ N 1.0))) (log (/ N (sqrt (+ N 1.0)))) (log 1) (log (/ N (+ N 1.0))) (log 1) (log (/ N (+ N 1.0))) (log (+ (pow N 3) (pow 1.0 3))) (log (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (- (* N N) (* 1.0 1.0))) (log (* N (- N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (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))) (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (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))) (log (- N)) (log 1) (log (/ N (+ N 1.0))) (log (/ (+ N 1.0) (* (cbrt N) (cbrt N)))) (log (cbrt N)) (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)) (log (/ (+ N 1.0) 1)) (log N) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (/ N (cbrt (+ N 1.0)))) (log (sqrt (+ N 1.0))) (log (/ N (sqrt (+ N 1.0)))) (log 1) (log (/ N (+ N 1.0))) (log 1) (log (/ N (+ N 1.0))) (log (+ (pow N 3) (pow 1.0 3))) (log (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (- (* N N) (* 1.0 1.0))) (log (* N (- N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (log (/ N (+ N 1.0))) (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))) (- (+ (* 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 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 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 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)))) 2.151 * * [simplify]: iteration 0 : 236 enodes (cost 1176 ) 2.155 * * [simplify]: iteration 1 : 668 enodes (cost 1084 ) 2.167 * * [simplify]: iteration 2 : 2741 enodes (cost 1056 ) 2.223 * * [simplify]: iteration 3 : 5002 enodes (cost 1040 ) 2.230 * [simplify]: Simplified to: (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt 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N 3))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3))) (fma 1.0 N (- (log 1.0) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N)))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3))) (fma 1.0 N (- (log 1.0) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N)))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3))) (fma 1.0 N (- (log 1.0) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N)))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3))) 2.232 * * * [progress]: adding candidates to table 2.703 * [progress]: [Phase 3 of 3] Extracting. 2.703 * * [regime]: Finding splitpoints for: (# # #) 2.703 * * * [regime-changes]: Trying 1 branch expressions: (N) 2.703 * * * * [regimes]: Trying to branch on N from (# # #) 2.723 * * * [regime]: Found split indices: #