5.196 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.067 * * * [progress]: [2/2] Setting up program. 0.069 * [progress]: [Phase 2 of 3] Improving. 0.069 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.071 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.073 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.074 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.074 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.074 * * [progress]: iteration 1 / 4 0.074 * * * [progress]: picking best candidate 0.076 * * * * [pick]: Picked # 0.076 * * * [progress]: localizing error 0.087 * * * [progress]: generating rewritten candidates 0.087 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.089 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.099 * * * [progress]: generating series expansions 0.099 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.099 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.099 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.099 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.099 * [taylor]: Taking taylor expansion of N in N 0.099 * [taylor]: Taking taylor expansion of 1.0 in N 0.100 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.100 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.100 * [taylor]: Taking taylor expansion of N in N 0.100 * [taylor]: Taking taylor expansion of 1.0 in N 0.113 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.113 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.113 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.113 * [taylor]: Taking taylor expansion of N in N 0.113 * [taylor]: Taking taylor expansion of 1.0 in N 0.113 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.114 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.114 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.114 * [taylor]: Taking taylor expansion of N in N 0.114 * [taylor]: Taking taylor expansion of 1.0 in N 0.127 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.127 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.127 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.127 * [taylor]: Taking taylor expansion of 1.0 in N 0.127 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.127 * [taylor]: Taking taylor expansion of 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 0.142 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.143 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.143 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.143 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.143 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.143 * [taylor]: Taking taylor expansion of N in N 0.143 * [taylor]: Taking taylor expansion of 1.0 in N 0.143 * [taylor]: Taking taylor expansion of (log N) in N 0.143 * [taylor]: Taking taylor expansion of N in N 0.144 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.144 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.144 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.144 * [taylor]: Taking taylor expansion of N in N 0.144 * [taylor]: Taking taylor expansion of 1.0 in N 0.144 * [taylor]: Taking taylor expansion of (log N) in N 0.144 * [taylor]: Taking taylor expansion of N in N 0.162 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.162 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.162 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.162 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.162 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.162 * [taylor]: Taking taylor expansion of N in N 0.163 * [taylor]: Taking taylor expansion of 1.0 in N 0.169 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.169 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.170 * [taylor]: Taking taylor expansion of N in N 0.170 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.170 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.170 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.170 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.170 * [taylor]: Taking taylor expansion of N in N 0.170 * [taylor]: Taking taylor expansion of 1.0 in N 0.171 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.171 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.171 * [taylor]: Taking taylor expansion of N in N 0.203 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.203 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.203 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.203 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.203 * [taylor]: Taking taylor expansion of 1.0 in N 0.203 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.203 * [taylor]: Taking taylor expansion of N in N 0.204 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.204 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.204 * [taylor]: Taking taylor expansion of -1 in N 0.204 * [taylor]: Taking taylor expansion of N in N 0.205 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.205 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.205 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.205 * [taylor]: Taking taylor expansion of 1.0 in N 0.205 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.205 * [taylor]: Taking taylor expansion of N in N 0.206 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.206 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.206 * [taylor]: Taking taylor expansion of -1 in N 0.206 * [taylor]: Taking taylor expansion of N in N 0.241 * * * [progress]: simplifying candidates 0.242 * [simplify]: Simplifying using # : (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))) (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) (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)) (- (+ (* 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)))) 0.246 * * [simplify]: iteration 0 : 277 enodes (cost 598 ) 0.251 * * [simplify]: iteration 1 : 837 enodes (cost 444 ) 0.268 * * [simplify]: iteration 2 : 3748 enodes (cost 347 ) 0.361 * * [simplify]: iteration 3 : 5001 enodes (cost 345 ) 0.368 * [simplify]: Simplified to: (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))) (- (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) (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)) (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))))) (fma 1.0 N (- (log 1.0) (fma 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)) 0.368 * * * [progress]: adding candidates to table 0.504 * * [progress]: iteration 2 / 4 0.504 * * * [progress]: picking best candidate 0.513 * * * * [pick]: Picked # 0.513 * * * [progress]: localizing error 0.518 * * * [progress]: generating rewritten candidates 0.518 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.522 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.532 * * * [progress]: generating series expansions 0.532 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.532 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.532 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.532 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.532 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.532 * [taylor]: Taking taylor expansion of N in N 0.532 * [taylor]: Taking taylor expansion of 1.0 in N 0.532 * [taylor]: Taking taylor expansion of N in N 0.533 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.533 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.533 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.533 * [taylor]: Taking taylor expansion of N in N 0.533 * [taylor]: Taking taylor expansion of 1.0 in N 0.533 * [taylor]: Taking taylor expansion of N in N 0.547 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.547 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.547 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.547 * [taylor]: Taking taylor expansion of N in N 0.547 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.547 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.547 * [taylor]: Taking taylor expansion of N in N 0.548 * [taylor]: Taking taylor expansion of 1.0 in N 0.550 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.550 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.550 * [taylor]: Taking taylor expansion of N in N 0.550 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.550 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.550 * [taylor]: Taking taylor expansion of N in N 0.550 * [taylor]: Taking taylor expansion of 1.0 in N 0.582 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.582 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.582 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.582 * [taylor]: Taking taylor expansion of -1 in N 0.582 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.582 * [taylor]: Taking taylor expansion of N in N 0.582 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.582 * [taylor]: Taking taylor expansion of 1.0 in N 0.582 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.582 * [taylor]: Taking taylor expansion of N in N 0.586 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.586 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.586 * [taylor]: Taking taylor expansion of -1 in N 0.586 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.586 * [taylor]: Taking taylor expansion of N in N 0.586 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.586 * [taylor]: Taking taylor expansion of 1.0 in N 0.586 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.586 * [taylor]: Taking taylor expansion of N in N 0.621 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.621 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.621 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.621 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.621 * [taylor]: Taking taylor expansion of N in N 0.621 * [taylor]: Taking taylor expansion of 1.0 in N 0.621 * [taylor]: Taking taylor expansion of N in N 0.621 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.622 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.622 * [taylor]: Taking taylor expansion of N in N 0.622 * [taylor]: Taking taylor expansion of 1.0 in N 0.622 * [taylor]: Taking taylor expansion of N in N 0.629 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.629 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.629 * [taylor]: Taking taylor expansion of N in N 0.629 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.629 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.629 * [taylor]: Taking taylor expansion of N in N 0.629 * [taylor]: Taking taylor expansion of 1.0 in N 0.629 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.629 * [taylor]: Taking taylor expansion of N in N 0.629 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.629 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.629 * [taylor]: Taking taylor expansion of N in N 0.629 * [taylor]: Taking taylor expansion of 1.0 in N 0.644 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.644 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.644 * [taylor]: Taking taylor expansion of -1 in N 0.644 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.644 * [taylor]: Taking taylor expansion of N in N 0.644 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.644 * [taylor]: Taking taylor expansion of 1.0 in N 0.644 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.644 * [taylor]: Taking taylor expansion of N in N 0.644 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.644 * [taylor]: Taking taylor expansion of -1 in N 0.644 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.644 * [taylor]: Taking taylor expansion of N in N 0.644 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.644 * [taylor]: Taking taylor expansion of 1.0 in N 0.644 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.644 * [taylor]: Taking taylor expansion of N in N 0.675 * * * [progress]: simplifying candidates 0.676 * [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) 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) 0.681 * * [simplify]: iteration 0 : 243 enodes (cost 383 ) 0.685 * * [simplify]: iteration 1 : 808 enodes (cost 358 ) 0.699 * * [simplify]: iteration 2 : 3663 enodes (cost 347 ) 0.777 * * [simplify]: iteration 3 : 5001 enodes (cost 344 ) 0.779 * [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) 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) 0.779 * * * [progress]: adding candidates to table 0.910 * * [progress]: iteration 3 / 4 0.910 * * * [progress]: picking best candidate 0.922 * * * * [pick]: Picked # 0.923 * * * [progress]: localizing error 0.931 * * * [progress]: generating rewritten candidates 0.931 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 0.934 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.936 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.938 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.952 * * * [progress]: generating series expansions 0.952 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 0.952 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 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 0.954 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.954 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.954 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.954 * [taylor]: Taking taylor expansion of N in N 0.954 * [taylor]: Taking taylor expansion of 1.0 in N 0.954 * [taylor]: Taking taylor expansion of N in N 0.968 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.968 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.968 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.968 * [taylor]: Taking taylor expansion of N in N 0.968 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.968 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.968 * [taylor]: Taking taylor expansion of N in N 0.969 * [taylor]: Taking taylor expansion of 1.0 in N 0.971 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.971 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.971 * [taylor]: Taking taylor expansion of N in N 0.971 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.971 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.971 * [taylor]: Taking taylor expansion of N in N 0.971 * [taylor]: Taking taylor expansion of 1.0 in N 0.998 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 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 0.998 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.998 * [taylor]: Taking taylor expansion of N in N 1.001 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.001 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.001 * [taylor]: Taking taylor expansion of -1 in N 1.001 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.001 * [taylor]: Taking taylor expansion of N in N 1.001 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.001 * [taylor]: Taking taylor expansion of 1.0 in N 1.001 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.001 * [taylor]: Taking taylor expansion of N in N 1.041 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.042 * [approximate]: Taking taylor expansion of (pow (log (/ (+ N 1.0) N)) 3) in (N) around 0 1.042 * [taylor]: Taking taylor expansion of (pow (log (/ (+ N 1.0) N)) 3) in N 1.042 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.042 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.042 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.042 * [taylor]: Taking taylor expansion of N in N 1.042 * [taylor]: Taking taylor expansion of 1.0 in N 1.042 * [taylor]: Taking taylor expansion of N in N 1.043 * [taylor]: Taking taylor expansion of (pow (log (/ (+ N 1.0) N)) 3) in N 1.043 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.043 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.043 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.043 * [taylor]: Taking taylor expansion of N in N 1.043 * [taylor]: Taking taylor expansion of 1.0 in N 1.043 * [taylor]: Taking taylor expansion of N in N 1.082 * [approximate]: Taking taylor expansion of (pow (log (* N (+ (/ 1 N) 1.0))) 3) in (N) around 0 1.082 * [taylor]: Taking taylor expansion of (pow (log (* N (+ (/ 1 N) 1.0))) 3) in N 1.082 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.082 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.082 * [taylor]: Taking taylor expansion of N in N 1.082 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 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 1.083 * [taylor]: Taking taylor expansion of 1.0 in N 1.091 * [taylor]: Taking taylor expansion of (pow (log (* N (+ (/ 1 N) 1.0))) 3) in N 1.091 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.091 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.091 * [taylor]: Taking taylor expansion of N in N 1.091 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.091 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.091 * [taylor]: Taking taylor expansion of N in N 1.091 * [taylor]: Taking taylor expansion of 1.0 in N 1.133 * [approximate]: Taking taylor expansion of (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 3) in (N) around 0 1.133 * [taylor]: Taking taylor expansion of (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 3) in N 1.133 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.133 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.133 * [taylor]: Taking taylor expansion of -1 in N 1.133 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.133 * [taylor]: Taking taylor expansion of N in N 1.133 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.133 * [taylor]: Taking taylor expansion of 1.0 in N 1.133 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.133 * [taylor]: Taking taylor expansion of N in N 1.145 * [taylor]: Taking taylor expansion of (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 3) in N 1.145 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.145 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.145 * [taylor]: Taking taylor expansion of -1 in N 1.145 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.145 * [taylor]: Taking taylor expansion of N in N 1.145 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.145 * [taylor]: Taking taylor expansion of 1.0 in N 1.145 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.145 * [taylor]: Taking taylor expansion of N in N 1.187 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.187 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.187 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.187 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.187 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.187 * [taylor]: Taking taylor expansion of N in N 1.187 * [taylor]: Taking taylor expansion of 1.0 in N 1.187 * [taylor]: Taking taylor expansion of N in N 1.188 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.188 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.188 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.188 * [taylor]: Taking taylor expansion of N in N 1.188 * [taylor]: Taking taylor expansion of 1.0 in N 1.188 * [taylor]: Taking taylor expansion of N in N 1.208 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.209 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.209 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.209 * [taylor]: Taking taylor expansion of N in N 1.209 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.209 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.209 * [taylor]: Taking taylor expansion of N in N 1.209 * [taylor]: Taking taylor expansion of 1.0 in N 1.211 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.211 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.211 * [taylor]: Taking taylor expansion of N in N 1.211 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.211 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.211 * [taylor]: Taking taylor expansion of N in N 1.211 * [taylor]: Taking taylor expansion of 1.0 in N 1.239 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.239 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.239 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.239 * [taylor]: Taking taylor expansion of -1 in N 1.239 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.239 * [taylor]: Taking taylor expansion of N in N 1.239 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.239 * [taylor]: Taking taylor expansion of 1.0 in N 1.239 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.239 * [taylor]: Taking taylor expansion of N in N 1.243 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.243 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.243 * [taylor]: Taking taylor expansion of -1 in N 1.243 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.243 * [taylor]: Taking taylor expansion of N in N 1.243 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.243 * [taylor]: Taking taylor expansion of 1.0 in N 1.243 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.243 * [taylor]: Taking taylor expansion of N in N 1.277 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.277 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 1.277 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.277 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.277 * [taylor]: Taking taylor expansion of N in N 1.277 * [taylor]: Taking taylor expansion of 1.0 in N 1.277 * [taylor]: Taking taylor expansion of N in N 1.278 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.278 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.278 * [taylor]: Taking taylor expansion of N in N 1.278 * [taylor]: Taking taylor expansion of 1.0 in N 1.278 * [taylor]: Taking taylor expansion of N in N 1.291 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 1.292 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.292 * [taylor]: Taking taylor expansion of N in N 1.292 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.292 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.292 * [taylor]: Taking taylor expansion of N in N 1.292 * [taylor]: Taking taylor expansion of 1.0 in N 1.292 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.292 * [taylor]: Taking taylor expansion of N in N 1.292 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.292 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.292 * [taylor]: Taking taylor expansion of N in N 1.292 * [taylor]: Taking taylor expansion of 1.0 in N 1.306 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 1.306 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.306 * [taylor]: Taking taylor expansion of -1 in N 1.306 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.306 * [taylor]: Taking taylor expansion of N in N 1.306 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.306 * [taylor]: Taking taylor expansion of 1.0 in N 1.307 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.307 * [taylor]: Taking taylor expansion of N in N 1.307 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.307 * [taylor]: Taking taylor expansion of -1 in N 1.307 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.307 * [taylor]: Taking taylor expansion of N in N 1.307 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.307 * [taylor]: Taking taylor expansion of 1.0 in N 1.307 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.307 * [taylor]: Taking taylor expansion of N in N 1.331 * * * [progress]: simplifying candidates 1.333 * [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) 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 (pow (log (/ (+ N 1.0) N)) 3)) (log1p (pow (log (/ (+ N 1.0) N)) 3)) (* (log (log (/ (+ N 1.0) N))) 3) (* (log (log (/ (+ N 1.0) N))) 3) (* 1 3) (pow (log (/ (+ N 1.0) N)) (* (cbrt 3) (cbrt 3))) (pow (log (/ (+ N 1.0) N)) (sqrt 3)) (pow (log (/ (+ N 1.0) N)) 1) (pow 1 3) (pow (log (/ (+ N 1.0) N)) 3) (pow (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) 3) (pow (cbrt (log (/ (+ N 1.0) N))) 3) (pow (sqrt (log (/ (+ N 1.0) N))) 3) (pow (sqrt (log (/ (+ N 1.0) N))) 3) (pow 1 3) (pow (log (/ (+ N 1.0) N)) 3) (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (pow (log (/ (+ N 1.0) N)) 3)) (exp (pow (log (/ (+ N 1.0) N)) 3)) (* (cbrt (pow (log (/ (+ N 1.0) N)) 3)) (cbrt (pow (log (/ (+ N 1.0) N)) 3))) (cbrt (pow (log (/ (+ N 1.0) N)) 3)) (* (* (pow (log (/ (+ N 1.0) N)) 3) (pow (log (/ (+ N 1.0) N)) 3)) (pow (log (/ (+ N 1.0) N)) 3)) (pow 1 3) (pow (log (/ (+ N 1.0) N)) 3) (pow (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) 3) (pow (cbrt (log (/ (+ N 1.0) N))) 3) (pow (sqrt (log (/ (+ N 1.0) N))) 3) (pow (sqrt (log (/ (+ N 1.0) N))) 3) (pow 1 3) (pow (log (/ (+ N 1.0) N)) 3) (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (sqrt (pow (log (/ (+ N 1.0) N)) 3)) (sqrt (pow (log (/ (+ N 1.0) N)) 3)) (pow (log (/ (+ N 1.0) N)) (/ 3 2)) (pow (log (/ (+ N 1.0) N)) (/ 3 2)) (expm1 (cbrt (pow (log (/ (+ N 1.0) N)) 3))) (log1p (cbrt (pow (log (/ (+ N 1.0) N)) 3))) (log (cbrt (pow (log (/ (+ N 1.0) N)) 3))) (exp (cbrt (pow (log (/ (+ N 1.0) N)) 3))) (cbrt (pow 1 3)) (cbrt (pow (log (/ (+ N 1.0) N)) 3)) (cbrt (pow (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) 3)) (cbrt (pow (cbrt (log (/ (+ N 1.0) N))) 3)) (cbrt (pow (sqrt (log (/ (+ N 1.0) N))) 3)) (cbrt (pow (sqrt (log (/ (+ N 1.0) N))) 3)) (cbrt (pow 1 3)) (cbrt (pow (log (/ (+ N 1.0) N)) 3)) (cbrt (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (cbrt (* (cbrt (pow (log (/ (+ N 1.0) N)) 3)) (cbrt (pow (log (/ (+ N 1.0) N)) 3)))) (cbrt (cbrt (pow (log (/ (+ N 1.0) N)) 3))) (cbrt (pow 1 3)) (cbrt (pow (log (/ (+ N 1.0) N)) 3)) (cbrt (pow (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) 3)) (cbrt (pow (cbrt (log (/ (+ N 1.0) N))) 3)) (cbrt (pow (sqrt (log (/ (+ N 1.0) N))) 3)) (cbrt (pow (sqrt (log (/ (+ N 1.0) N))) 3)) (cbrt (pow 1 3)) (cbrt (pow (log (/ (+ N 1.0) N)) 3)) (cbrt (log (/ (+ N 1.0) N))) (cbrt (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)))) (cbrt (sqrt (pow (log (/ (+ N 1.0) N)) 3))) (cbrt (sqrt (pow (log (/ (+ N 1.0) N)) 3))) (cbrt 1) (cbrt (pow (log (/ (+ N 1.0) N)) 3)) (cbrt (pow (log (/ (+ N 1.0) N)) (/ 3 2))) (cbrt (pow (log (/ (+ N 1.0) N)) (/ 3 2))) (* (cbrt (cbrt (pow (log (/ (+ N 1.0) N)) 3))) (cbrt (cbrt (pow (log (/ (+ N 1.0) N)) 3)))) (cbrt (cbrt (pow (log (/ (+ N 1.0) N)) 3))) (* (* (cbrt (pow (log (/ (+ N 1.0) N)) 3)) (cbrt (pow (log (/ (+ N 1.0) N)) 3))) (cbrt (pow (log (/ (+ N 1.0) N)) 3))) (sqrt (cbrt (pow (log (/ (+ N 1.0) N)) 3))) (sqrt (cbrt (pow (log (/ (+ N 1.0) N)) 3))) (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)))) (- (+ (* 3.0 (* N (pow (log N) 2))) (+ (* 3.0 (* (pow N 2) (log 1.0))) (+ (* 3.0 (* N (pow (log 1.0) 2))) (+ (* 3 (/ (* (pow N 2) (* (log 1.0) (log N))) (pow 1.0 2))) (+ (* 3 (* (log 1.0) (pow (log N) 2))) (pow (log 1.0) 3)))))) (+ (* 3.0 (* (pow N 2) (log N))) (+ (pow (log N) 3) (+ (* 6.0 (* N (* (log 1.0) (log N)))) (+ (* 3 (* (pow (log 1.0) 2) (log N))) (+ (* 3/2 (/ (* (pow N 2) (pow (log 1.0) 2)) (pow 1.0 2))) (* 3/2 (/ (* (pow N 2) (pow (log N) 2)) (pow 1.0 2))))))))) (- (+ (* 1.0 (/ 1 (pow N 3))) (* 1.7499999999999998 (/ 1 (pow N 5)))) (* 1.5 (/ 1 (pow N 4)))) (- (+ (* 1.0 (/ 1 (pow N 3))) (* 1.7499999999999998 (/ 1 (pow N 5)))) (* 1.5 (/ 1 (pow N 4)))) (- (+ (* 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) 1.340 * * [simplify]: iteration 0 : 502 enodes (cost 790 ) 1.349 * * [simplify]: iteration 1 : 2219 enodes (cost 746 ) 1.385 * * [simplify]: iteration 2 : 5002 enodes (cost 735 ) 1.390 * [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))) (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)))) (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)) (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 (pow (log (/ (+ N 1.0) N)) 3)) (log1p (pow (log (/ (+ N 1.0) N)) 3)) (log (pow (log (/ (+ N 1.0) N)) 3)) (log (pow (log (/ (+ N 1.0) N)) 3)) 3 (pow (log (/ (+ N 1.0) N)) (* (cbrt 3) (cbrt 3))) (pow (log (/ (+ N 1.0) N)) (sqrt 3)) (log (/ (+ N 1.0) N)) 1 (pow (log (/ (+ N 1.0) N)) 3) (pow (log (/ (+ N 1.0) N)) 2) (log (/ (+ N 1.0) N)) (pow (log (/ (+ N 1.0) N)) 3/2) (pow (log (/ (+ N 1.0) N)) 3/2) 1 (pow (log (/ (+ N 1.0) N)) 3) (pow (log (/ (+ N 1.0) N)) 2) (log (pow (log (/ (+ N 1.0) N)) 3)) (exp (pow (log (/ (+ N 1.0) N)) 3)) (pow (log (/ (+ N 1.0) N)) 2) (log (/ (+ N 1.0) N)) (pow (pow (log (/ (+ N 1.0) N)) 3) 3) 1 (pow (log (/ (+ N 1.0) N)) 3) (pow (log (/ (+ N 1.0) N)) 2) (log (/ (+ N 1.0) N)) (pow (log (/ (+ N 1.0) N)) 3/2) (pow (log (/ (+ N 1.0) N)) 3/2) 1 (pow (log (/ (+ N 1.0) N)) 3) (pow (log (/ (+ N 1.0) N)) 2) (sqrt (pow (log (/ (+ N 1.0) N)) 3)) (sqrt (pow (log (/ (+ N 1.0) N)) 3)) (pow (log (/ (+ N 1.0) N)) 3/2) (pow (log (/ (+ N 1.0) N)) 3/2) (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) 1 (log (/ (+ N 1.0) N)) (cbrt (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) 1 (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)) (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) 1 (log (/ (+ N 1.0) N)) (cbrt (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) 1 (log (/ (+ N 1.0) N)) (cbrt (log (/ (+ N 1.0) N))) (cbrt (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)))) (cbrt (sqrt (pow (log (/ (+ N 1.0) N)) 3))) (cbrt (sqrt (pow (log (/ (+ N 1.0) N)) 3))) 1 (log (/ (+ N 1.0) N)) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (cbrt (* (log (/ (+ N 1.0) N)) (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 (- 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 3.0 (* N (pow (log N) 2)) (fma 3.0 (* (pow N 2) (log 1.0)) (fma 3.0 (* N (pow (log 1.0) 2)) (fma 3 (/ (* (pow N 2) (* (log 1.0) (log N))) (pow 1.0 2)) (fma 3 (* (log 1.0) (pow (log N) 2)) (pow (log 1.0) 3)))))) (fma (* 3.0 (pow N 2)) (log N) (pow (log N) 3))) (fma 6.0 (* N (* (log 1.0) (log N))) (fma 3 (* (pow (log 1.0) 2) (log N)) (fma 3/2 (/ (* (pow N 2) (pow (log 1.0) 2)) (pow 1.0 2)) (* 3/2 (/ (* (pow N 2) (pow (log N) 2)) (pow 1.0 2))))))) (fma 1.0 (/ 1 (pow N 3)) (- (* 1.7499999999999998 (/ 1 (pow N 5))) (* 1.5 (/ 1 (pow N 4))))) (fma 1.0 (/ 1 (pow N 3)) (- (* 1.7499999999999998 (/ 1 (pow N 5))) (* 1.5 (/ 1 (pow 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 (/ 1 N) 1) (fma 1.0 (/ 1 N) 1) (fma 1.0 (/ 1 N) 1) 1.390 * * * [progress]: adding candidates to table 1.642 * * [progress]: iteration 4 / 4 1.642 * * * [progress]: picking best candidate 1.659 * * * * [pick]: Picked # 1.659 * * * [progress]: localizing error 1.679 * * * [progress]: generating rewritten candidates 1.679 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 1.682 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.684 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.687 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.732 * * * [progress]: generating series expansions 1.732 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 1.732 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 1.732 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.732 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.732 * [taylor]: Taking taylor expansion of N in N 1.732 * [taylor]: Taking taylor expansion of 1.0 in N 1.733 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.733 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.733 * [taylor]: Taking taylor expansion of N in N 1.733 * [taylor]: Taking taylor expansion of 1.0 in N 1.751 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 1.751 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.751 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.751 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.751 * [taylor]: Taking taylor expansion of N in N 1.751 * [taylor]: Taking taylor expansion of 1.0 in N 1.751 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.751 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.752 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.752 * [taylor]: Taking taylor expansion of N in N 1.752 * [taylor]: Taking taylor expansion of 1.0 in N 1.764 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 1.765 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.765 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.765 * [taylor]: Taking taylor expansion of 1.0 in N 1.765 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.765 * [taylor]: Taking taylor expansion of N in N 1.766 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.766 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.766 * [taylor]: Taking taylor expansion of 1.0 in N 1.766 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.766 * [taylor]: Taking taylor expansion of N in N 1.780 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.780 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 1.780 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.780 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.780 * [taylor]: Taking taylor expansion of N in N 1.780 * [taylor]: Taking taylor expansion of 1.0 in N 1.781 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.781 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.781 * [taylor]: Taking taylor expansion of N in N 1.781 * [taylor]: Taking taylor expansion of 1.0 in N 1.793 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 1.793 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.793 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.793 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.793 * [taylor]: Taking taylor expansion of N in N 1.794 * [taylor]: Taking taylor expansion of 1.0 in N 1.794 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.794 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.794 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.794 * [taylor]: Taking taylor expansion of N in N 1.795 * [taylor]: Taking taylor expansion of 1.0 in N 1.807 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 1.807 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.807 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.807 * [taylor]: Taking taylor expansion of 1.0 in N 1.807 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.807 * [taylor]: Taking taylor expansion of N in N 1.808 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.808 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.808 * [taylor]: Taking taylor expansion of 1.0 in N 1.808 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.808 * [taylor]: Taking taylor expansion of N in N 1.823 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.823 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 1.823 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.823 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.823 * [taylor]: Taking taylor expansion of N in N 1.823 * [taylor]: Taking taylor expansion of 1.0 in N 1.824 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.824 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.824 * [taylor]: Taking taylor expansion of N in N 1.824 * [taylor]: Taking taylor expansion of 1.0 in N 1.841 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 1.841 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.841 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.841 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.841 * [taylor]: Taking taylor expansion of N in N 1.841 * [taylor]: Taking taylor expansion of 1.0 in N 1.842 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.842 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.842 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.842 * [taylor]: Taking taylor expansion of N in N 1.842 * [taylor]: Taking taylor expansion of 1.0 in N 1.855 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 1.855 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.855 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.855 * [taylor]: Taking taylor expansion of 1.0 in N 1.855 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.855 * [taylor]: Taking taylor expansion of N in N 1.856 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.856 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.856 * [taylor]: Taking taylor expansion of 1.0 in N 1.856 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.856 * [taylor]: Taking taylor expansion of N in N 1.870 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.870 * [approximate]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in (N) around 0 1.871 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in N 1.871 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 3) in N 1.871 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.871 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.871 * [taylor]: Taking taylor expansion of N in N 1.871 * [taylor]: Taking taylor expansion of 1.0 in N 1.871 * [taylor]: Taking taylor expansion of (pow (log N) 3) in N 1.871 * [taylor]: Taking taylor expansion of (log N) in N 1.871 * [taylor]: Taking taylor expansion of N in N 1.872 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in N 1.872 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 3) in N 1.872 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.872 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.872 * [taylor]: Taking taylor expansion of N in N 1.872 * [taylor]: Taking taylor expansion of 1.0 in N 1.872 * [taylor]: Taking taylor expansion of (pow (log N) 3) in N 1.873 * [taylor]: Taking taylor expansion of (log N) in N 1.873 * [taylor]: Taking taylor expansion of N in N 1.931 * [approximate]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in (N) around 0 1.931 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in N 1.931 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 3) in N 1.931 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.931 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.931 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.931 * [taylor]: Taking taylor expansion of N in N 1.932 * [taylor]: Taking taylor expansion of 1.0 in N 1.933 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N 1.933 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.933 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.933 * [taylor]: Taking taylor expansion of N in N 1.933 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in N 1.933 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 3) in N 1.934 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.934 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 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 1.934 * [taylor]: Taking taylor expansion of 1.0 in N 1.935 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N 1.935 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.935 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.935 * [taylor]: Taking taylor expansion of N in N 1.979 * [approximate]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in (N) around 0 1.979 * [taylor]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in N 1.979 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 3) in N 1.979 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.979 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.979 * [taylor]: Taking taylor expansion of 1.0 in N 1.979 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.979 * [taylor]: Taking taylor expansion of N in N 1.980 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 3) in N 1.981 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 1.981 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.981 * [taylor]: Taking taylor expansion of -1 in N 1.981 * [taylor]: Taking taylor expansion of N in N 1.982 * [taylor]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in N 1.982 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 3) in N 1.982 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.982 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.982 * [taylor]: Taking taylor expansion of 1.0 in N 1.982 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.982 * [taylor]: Taking taylor expansion of N in N 1.983 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 3) in N 1.983 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 1.983 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.983 * [taylor]: Taking taylor expansion of -1 in N 1.983 * [taylor]: Taking taylor expansion of N in N 2.073 * * * [progress]: simplifying candidates 2.079 * [simplify]: Simplifying using # : (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))) (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))) (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))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (log N) 3) (pow 1 3)))) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (log N) 3) (pow 1 3)))) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (log N) (* (log N) (log N))))) (fma (- (log N)) (* (log N) (log N)) (* (log N) (* (log N) (log N)))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3)))))) (fma (- (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (log N) 3) (pow 1 3)))) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (log N) 3) (pow 1 3)))) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (* (log N) (log N)) (log N)))) (fma (- (* (log N) (log N))) (log N) (* (* (log N) (log N)) (log N))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3))))) (fma (- (sqrt (pow (log N) 3))) (sqrt (pow (log N) 3)) (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3)))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (log N) 3) 1))) (fma (- (pow (log N) 3)) 1 (* (pow (log N) 3) 1)) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (log N) (/ 3 2)) (pow (log N) (/ 3 2))))) (fma (- (pow (log N) (/ 3 2))) (pow (log N) (/ 3 2)) (* (pow (log N) (/ 3 2)) (pow (log N) (/ 3 2)))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (pow (log N) 3) (pow 1 3)))) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (pow (log N) 3) (pow 1 3)))) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (log N) (* (log N) (log N))))) (fma (- (log N)) (* (log N) (log N)) (* (log N) (* (log N) (log N)))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3)))))) (fma (- (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (pow (log N) 3) (pow 1 3)))) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (pow (log N) 3) (pow 1 3)))) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (* (log N) (log N)) (log N)))) (fma (- (* (log N) (log N))) (log N) (* (* (log N) (log N)) (log N))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3))))) (fma (- (sqrt (pow (log N) 3))) (sqrt (pow (log N) 3)) (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3)))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (pow (log N) 3) 1))) (fma (- (pow (log N) 3)) 1 (* (pow (log N) 3) 1)) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (pow (log N) (/ 3 2)) (pow (log N) (/ 3 2))))) (fma (- (pow (log N) (/ 3 2))) (pow (log N) (/ 3 2)) (* (pow (log N) (/ 3 2)) (pow (log N) (/ 3 2)))) (fma (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log (+ N 1.0))) 3) (- (* (pow (log N) 3) (pow 1 3)))) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) (fma (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log (+ N 1.0))) 3) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) (fma (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log (+ N 1.0))) 3) (- (* (pow (sqrt (log N)) 3) (pow 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2))))) (fma 1.0 (/ 1 N) (- (fma 0.5 (/ 1 (pow N 2)) (log (/ 1 N))))) (fma 1.0 (/ 1 N) (- (log -1) (fma 0.5 (/ 1 (pow N 2)) (log (/ -1 N))))) (fma 1.0 N (- (log 1.0) (* 1/2 (/ (pow N 2) (pow 1.0 2))))) (fma 1.0 (/ 1 N) (- (fma 0.5 (/ 1 (pow N 2)) (log (/ 1 N))))) (fma 1.0 (/ 1 N) (- (log -1) (fma 0.5 (/ 1 (pow N 2)) (log (/ -1 N))))) (fma (* 3.0 (pow N 2)) (log 1.0) (- (fma 3.0 (* N (pow (log 1.0) 2)) (pow (log 1.0) 3)) (fma 3/2 (/ (* (pow N 2) (pow (log 1.0) 2)) (pow 1.0 2)) (pow (log N) 3)))) (fma 1.0 (/ 1 (pow N 3)) (- (fma 3.0 (/ (pow (log (/ 1 N)) 2) N) (fma 1.0 (/ (pow (log (/ 1 N)) 2) (pow N 3)) (* 3.0 (/ (log (/ 1 N)) (pow N 3))))) (fma 1.5 (/ (pow (log (/ 1 N)) 2) (pow N 2)) (* 3.0 (/ (log (/ 1 N)) (pow N 2)))))) (fma 3.0 (/ (pow (log -1) 2) N) (- (fma 3.0 (/ (log (/ -1 N)) (pow N 3)) (fma 1.0 (/ (pow (log -1) 2) (pow N 3)) (fma 3.0 (/ (pow (log (/ -1 N)) 2) N) (fma 1.0 (/ 1 (pow N 3)) (fma 3.0 (/ (* (log -1) (log (/ -1 N))) (pow N 2)) (fma 1.0 (/ (pow (log (/ -1 N)) 2) (pow N 3)) (* 3.0 (/ (log -1) (pow N 2))))))))) (fma 2.0 (/ (* (log -1) (log (/ -1 N))) (pow N 3)) (fma 1.5 (/ (pow (log -1) 2) (pow N 2)) (fma 3.0 (/ (log -1) (pow N 3)) (fma 6.0 (/ (* (log -1) (log (/ -1 N))) N) (fma 1.5 (/ (pow (log (/ -1 N)) 2) (pow N 2)) (* 3.0 (/ (log (/ -1 N)) (pow N 2)))))))))) 2.198 * * * [progress]: adding candidates to table 2.586 * [progress]: [Phase 3 of 3] Extracting. 2.586 * * [regime]: Finding splitpoints for: (# # # # # # #) 2.589 * * * [regime-changes]: Trying 2 branch expressions: ((- (log (+ N 1.0)) (log N)) N) 2.589 * * * * [regimes]: Trying to branch on (- (log (+ N 1.0)) (log N)) from (# # # # # # #) 2.628 * * * * [regimes]: Trying to branch on N from (# # # # # # #) 2.668 * * * [regime]: Found split indices: #