5.160 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.057 * * * [progress]: [2/2] Setting up program. 0.059 * [progress]: [Phase 2 of 3] Improving. 0.059 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.061 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.062 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.064 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.064 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.064 * * [progress]: iteration 1 / 4 0.064 * * * [progress]: picking best candidate 0.066 * * * * [pick]: Picked # 0.066 * * * [progress]: localizing error 0.073 * * * [progress]: generating rewritten candidates 0.073 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.080 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.084 * * * [progress]: generating series expansions 0.084 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.085 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.085 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.085 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.085 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.085 * [taylor]: Taking taylor expansion of N in N 0.085 * [taylor]: Taking taylor expansion of 1.0 in N 0.085 * [taylor]: Taking taylor expansion of (log N) in N 0.086 * [taylor]: Taking taylor expansion of N in N 0.086 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.086 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.086 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.086 * [taylor]: Taking taylor expansion of N in N 0.086 * [taylor]: Taking taylor expansion of 1.0 in N 0.086 * [taylor]: Taking taylor expansion of (log N) in N 0.086 * [taylor]: Taking taylor expansion of N in N 0.109 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.109 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.109 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.109 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.109 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.109 * [taylor]: Taking taylor expansion of N in N 0.110 * [taylor]: Taking taylor expansion of 1.0 in N 0.110 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.110 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.110 * [taylor]: Taking taylor expansion of N in N 0.111 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.111 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.111 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.111 * [taylor]: Taking taylor expansion of N in N 0.111 * [taylor]: Taking taylor expansion of 1.0 in N 0.111 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.111 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.112 * [taylor]: Taking taylor expansion of N in N 0.141 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.142 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.142 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.142 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.142 * [taylor]: Taking taylor expansion of 1.0 in N 0.142 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.142 * [taylor]: Taking taylor expansion of N in N 0.143 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.143 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.143 * [taylor]: Taking taylor expansion of -1 in N 0.143 * [taylor]: Taking taylor expansion of N in N 0.143 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.143 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.143 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.143 * [taylor]: Taking taylor expansion of 1.0 in N 0.143 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.143 * [taylor]: Taking taylor expansion of N in N 0.144 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.144 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.144 * [taylor]: Taking taylor expansion of -1 in N 0.144 * [taylor]: Taking taylor expansion of N in N 0.185 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.185 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.185 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.185 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.185 * [taylor]: Taking taylor expansion of N in N 0.185 * [taylor]: Taking taylor expansion of 1.0 in N 0.186 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.186 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.186 * [taylor]: Taking taylor expansion of N in N 0.186 * [taylor]: Taking taylor expansion of 1.0 in N 0.197 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.197 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.197 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 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 0.198 * [taylor]: Taking taylor expansion of 1.0 in N 0.198 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.198 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.198 * [taylor]: Taking taylor expansion of N in N 0.199 * [taylor]: Taking taylor expansion of 1.0 in N 0.211 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.211 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.211 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.211 * [taylor]: Taking taylor expansion of 1.0 in N 0.211 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.211 * [taylor]: Taking taylor expansion of N in N 0.212 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.212 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.212 * [taylor]: Taking taylor expansion of 1.0 in N 0.212 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.212 * [taylor]: Taking taylor expansion of N in N 0.226 * * * [progress]: simplifying candidates 0.227 * [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) (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)))) 0.231 * * [simplify]: iteration 0 : 277 enodes (cost 598 ) 0.236 * * [simplify]: iteration 1 : 837 enodes (cost 444 ) 0.253 * * [simplify]: iteration 2 : 3748 enodes (cost 347 ) 0.346 * * [simplify]: iteration 3 : 5001 enodes (cost 343 ) 0.348 * [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) (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 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 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))))) 0.348 * * * [progress]: adding candidates to table 0.472 * * [progress]: iteration 2 / 4 0.472 * * * [progress]: picking best candidate 0.477 * * * * [pick]: Picked # 0.477 * * * [progress]: localizing error 0.482 * * * [progress]: generating rewritten candidates 0.482 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.485 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.495 * * * [progress]: generating series expansions 0.495 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.495 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.495 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.495 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.495 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.495 * [taylor]: Taking taylor expansion of N in N 0.495 * [taylor]: Taking taylor expansion of 1.0 in N 0.495 * [taylor]: Taking taylor expansion of N in N 0.496 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.496 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.496 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.496 * [taylor]: Taking taylor expansion of N in N 0.496 * [taylor]: Taking taylor expansion of 1.0 in N 0.496 * [taylor]: Taking taylor expansion of N in N 0.510 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.510 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.510 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.510 * [taylor]: Taking taylor expansion of N in N 0.510 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 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 0.510 * [taylor]: Taking taylor expansion of 1.0 in N 0.512 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.512 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.512 * [taylor]: Taking taylor expansion of N in N 0.512 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.512 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.512 * [taylor]: Taking taylor expansion of N in N 0.512 * [taylor]: Taking taylor expansion of 1.0 in N 0.538 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.538 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.538 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.538 * [taylor]: Taking taylor expansion of -1 in N 0.538 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.538 * [taylor]: Taking taylor expansion of N in N 0.538 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.538 * [taylor]: Taking taylor expansion of 1.0 in N 0.538 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.538 * [taylor]: Taking taylor expansion of N in N 0.541 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.541 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.541 * [taylor]: Taking taylor expansion of -1 in N 0.541 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.541 * [taylor]: Taking taylor expansion of N in N 0.541 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.541 * [taylor]: Taking taylor expansion of 1.0 in N 0.541 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.541 * [taylor]: Taking taylor expansion of N in N 0.579 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.579 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.579 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.579 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.579 * [taylor]: Taking taylor expansion of N in N 0.579 * [taylor]: Taking taylor expansion of 1.0 in N 0.579 * [taylor]: Taking taylor expansion of N in N 0.579 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.579 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.579 * [taylor]: Taking taylor expansion of N in N 0.579 * [taylor]: Taking taylor expansion of 1.0 in N 0.579 * [taylor]: Taking taylor expansion of N in N 0.586 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.586 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.586 * [taylor]: Taking taylor expansion of N in N 0.586 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 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 0.586 * [taylor]: Taking taylor expansion of 1.0 in N 0.586 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.586 * [taylor]: Taking taylor expansion of N in N 0.586 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 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 0.587 * [taylor]: Taking taylor expansion of 1.0 in N 0.600 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.600 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.600 * [taylor]: Taking taylor expansion of -1 in N 0.600 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.600 * [taylor]: Taking taylor expansion of N in N 0.600 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.600 * [taylor]: Taking taylor expansion of 1.0 in N 0.600 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.600 * [taylor]: Taking taylor expansion of N in N 0.601 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.601 * [taylor]: Taking taylor expansion of -1 in N 0.601 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.601 * [taylor]: Taking taylor expansion of N in N 0.601 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.601 * [taylor]: Taking taylor expansion of 1.0 in N 0.601 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.601 * [taylor]: Taking taylor expansion of N in N 0.629 * * * [progress]: simplifying candidates 0.630 * [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) 0.634 * * [simplify]: iteration 0 : 243 enodes (cost 383 ) 0.638 * * [simplify]: iteration 1 : 808 enodes (cost 358 ) 0.653 * * [simplify]: iteration 2 : 3663 enodes (cost 347 ) 0.731 * * [simplify]: iteration 3 : 5001 enodes (cost 344 ) 0.733 * [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) 0.734 * * * [progress]: adding candidates to table 0.848 * * [progress]: iteration 3 / 4 0.848 * * * [progress]: picking best candidate 0.852 * * * * [pick]: Picked # 0.852 * * * [progress]: localizing error 0.862 * * * [progress]: generating rewritten candidates 0.862 * * * * [progress]: [ 1 / 3 ] rewriting at (2 3) 0.866 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.866 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.880 * * * [progress]: generating series expansions 0.880 * * * * [progress]: [ 1 / 3 ] generating series at (2 3) 0.880 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 0.880 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 0.880 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.880 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.880 * [taylor]: Taking taylor expansion of N in N 0.881 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 0.881 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.881 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.881 * [taylor]: Taking taylor expansion of N in N 0.896 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 0.896 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.896 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.896 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.896 * [taylor]: Taking taylor expansion of N in N 0.896 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.896 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.896 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.896 * [taylor]: Taking taylor expansion of N in N 0.908 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 0.908 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 0.908 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 0.908 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.908 * [taylor]: Taking taylor expansion of N in N 0.908 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 0.908 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 0.908 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.908 * [taylor]: Taking taylor expansion of N in N 0.919 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.919 * [approximate]: Taking taylor expansion of (fma (/ 1 N) (- 1.0 (* 0.5 (/ 1 N))) (/ 0.3333333333333333 (pow N 3))) in (N) around 0 0.920 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (- 1.0 (* 0.5 (/ 1 N))) (/ 0.3333333333333333 (pow N 3))) in N 0.920 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (- 1.0 (* 0.5 (/ 1 N)))) (/ 0.3333333333333333 (pow N 3))) 0.920 * [taylor]: Taking taylor expansion of (* (/ 1 N) (- 1.0 (* 0.5 (/ 1 N)))) in N 0.920 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.920 * [taylor]: Taking taylor expansion of N in N 0.920 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 0.920 * [taylor]: Taking taylor expansion of 1.0 in N 0.920 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 0.920 * [taylor]: Taking taylor expansion of 0.5 in N 0.920 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.920 * [taylor]: Taking taylor expansion of N in N 0.920 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 0.920 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.920 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.920 * [taylor]: Taking taylor expansion of N in N 0.921 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (- 1.0 (* 0.5 (/ 1 N))) (/ 0.3333333333333333 (pow N 3))) in N 0.921 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (- 1.0 (* 0.5 (/ 1 N)))) (/ 0.3333333333333333 (pow N 3))) 0.921 * [taylor]: Taking taylor expansion of (* (/ 1 N) (- 1.0 (* 0.5 (/ 1 N)))) in N 0.921 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.921 * [taylor]: Taking taylor expansion of N in N 0.922 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 0.922 * [taylor]: Taking taylor expansion of 1.0 in N 0.922 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 0.922 * [taylor]: Taking taylor expansion of 0.5 in N 0.922 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.922 * [taylor]: Taking taylor expansion of N in N 0.922 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 0.922 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.922 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.922 * [taylor]: Taking taylor expansion of N in N 0.932 * [approximate]: Taking taylor expansion of (fma N (- 1.0 (* 0.5 N)) (* 0.3333333333333333 (pow N 3))) in (N) around 0 0.932 * [taylor]: Taking taylor expansion of (fma N (- 1.0 (* 0.5 N)) (* 0.3333333333333333 (pow N 3))) in N 0.932 * [taylor]: Rewrote expression to (+ (* N (- 1.0 (* 0.5 N))) (* 0.3333333333333333 (pow N 3))) 0.932 * [taylor]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in N 0.932 * [taylor]: Taking taylor expansion of N in N 0.932 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 0.932 * [taylor]: Taking taylor expansion of 1.0 in N 0.932 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 0.932 * [taylor]: Taking taylor expansion of 0.5 in N 0.932 * [taylor]: Taking taylor expansion of N in N 0.932 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.932 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.932 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.932 * [taylor]: Taking taylor expansion of N in N 0.932 * [taylor]: Taking taylor expansion of (fma N (- 1.0 (* 0.5 N)) (* 0.3333333333333333 (pow N 3))) in N 0.932 * [taylor]: Rewrote expression to (+ (* N (- 1.0 (* 0.5 N))) (* 0.3333333333333333 (pow N 3))) 0.932 * [taylor]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in N 0.932 * [taylor]: Taking taylor expansion of N in N 0.932 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 0.932 * [taylor]: Taking taylor expansion of 1.0 in N 0.932 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 0.932 * [taylor]: Taking taylor expansion of 0.5 in N 0.932 * [taylor]: Taking taylor expansion of N in N 0.932 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.932 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.932 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.932 * [taylor]: Taking taylor expansion of N in N 0.944 * [approximate]: Taking taylor expansion of (fma (* -1 N) (+ (* 0.5 N) 1.0) (* -0.3333333333333333 (pow N 3))) in (N) around 0 0.944 * [taylor]: Taking taylor expansion of (fma (* -1 N) (+ (* 0.5 N) 1.0) (* -0.3333333333333333 (pow N 3))) in N 0.944 * [taylor]: Rewrote expression to (+ (* (* -1 N) (+ (* 0.5 N) 1.0)) (* -0.3333333333333333 (pow N 3))) 0.944 * [taylor]: Taking taylor expansion of (* (* -1 N) (+ (* 0.5 N) 1.0)) in N 0.944 * [taylor]: Taking taylor expansion of (* -1 N) in N 0.944 * [taylor]: Taking taylor expansion of -1 in N 0.944 * [taylor]: Taking taylor expansion of N in N 0.944 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 0.944 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 0.944 * [taylor]: Taking taylor expansion of 0.5 in N 0.944 * [taylor]: Taking taylor expansion of N in N 0.944 * [taylor]: Taking taylor expansion of 1.0 in N 0.944 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 0.944 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 0.944 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.944 * [taylor]: Taking taylor expansion of N in N 0.944 * [taylor]: Taking taylor expansion of (fma (* -1 N) (+ (* 0.5 N) 1.0) (* -0.3333333333333333 (pow N 3))) in N 0.944 * [taylor]: Rewrote expression to (+ (* (* -1 N) (+ (* 0.5 N) 1.0)) (* -0.3333333333333333 (pow N 3))) 0.944 * [taylor]: Taking taylor expansion of (* (* -1 N) (+ (* 0.5 N) 1.0)) in N 0.944 * [taylor]: Taking taylor expansion of (* -1 N) in N 0.944 * [taylor]: Taking taylor expansion of -1 in N 0.944 * [taylor]: Taking taylor expansion of N in N 0.944 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 0.944 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 0.944 * [taylor]: Taking taylor expansion of 0.5 in N 0.944 * [taylor]: Taking taylor expansion of N in N 0.944 * [taylor]: Taking taylor expansion of 1.0 in N 0.944 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 0.944 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 0.944 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.944 * [taylor]: Taking taylor expansion of N in N 0.957 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.957 * [approximate]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in (N) around 0 0.957 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 0.957 * [taylor]: Taking taylor expansion of 1.0 in N 0.957 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 0.957 * [taylor]: Taking taylor expansion of 0.5 in N 0.957 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.957 * [taylor]: Taking taylor expansion of N in N 0.957 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 0.957 * [taylor]: Taking taylor expansion of 1.0 in N 0.957 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 0.957 * [taylor]: Taking taylor expansion of 0.5 in N 0.957 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.957 * [taylor]: Taking taylor expansion of N in N 0.970 * [approximate]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in (N) around 0 0.970 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 0.970 * [taylor]: Taking taylor expansion of 1.0 in N 0.970 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 0.970 * [taylor]: Taking taylor expansion of 0.5 in N 0.970 * [taylor]: Taking taylor expansion of N in N 0.970 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 0.970 * [taylor]: Taking taylor expansion of 1.0 in N 0.970 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 0.970 * [taylor]: Taking taylor expansion of 0.5 in N 0.970 * [taylor]: Taking taylor expansion of N in N 0.985 * [approximate]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in (N) around 0 0.985 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 0.985 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 0.985 * [taylor]: Taking taylor expansion of 0.5 in N 0.985 * [taylor]: Taking taylor expansion of N in N 0.985 * [taylor]: Taking taylor expansion of 1.0 in N 0.985 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 0.985 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 0.985 * [taylor]: Taking taylor expansion of 0.5 in N 0.985 * [taylor]: Taking taylor expansion of N in N 0.985 * [taylor]: Taking taylor expansion of 1.0 in N 0.993 * * * [progress]: simplifying candidates 0.995 * [simplify]: Simplifying using # : (expm1 (/ 0.3333333333333333 (pow N 3))) (log1p (/ 0.3333333333333333 (pow N 3))) (- (log 0.3333333333333333) (* (log N) 3)) (- (log 0.3333333333333333) (* (log N) 3)) (- (log 0.3333333333333333) (log (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.3333333333333333 (pow N 3))) (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* (pow N 3) (pow N 3)) (pow N 3))) (* (cbrt (/ 0.3333333333333333 (pow N 3))) (cbrt (/ 0.3333333333333333 (pow N 3)))) (cbrt (/ 0.3333333333333333 (pow N 3))) (* (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (- 0.3333333333333333) (- (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow 1 3)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (cbrt 0.3333333333333333) (cbrt (pow N 3))) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow 1 3)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) (/ (cbrt 0.3333333333333333) (* N N)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt (pow N 3))) (/ (cbrt 0.3333333333333333) (sqrt (pow N 3))) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow N (/ 3 2))) (/ (cbrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.3333333333333333) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow 1 3)) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (sqrt 0.3333333333333333) (cbrt (pow N 3))) (/ (sqrt 0.3333333333333333) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow 1 3)) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) 1) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 0.3333333333333333 (pow N 3)) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 0.3333333333333333 (cbrt (pow N 3))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 0.3333333333333333 (pow N 3)) (/ 1 N) (/ 0.3333333333333333 (* N N)) (/ 1 (sqrt (pow N 3))) (/ 0.3333333333333333 (sqrt (pow N 3))) (/ 1 1) (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N (/ 3 2))) (/ 0.3333333333333333 (pow N (/ 3 2))) (/ 1 (pow N 3)) (/ (pow N 3) 0.3333333333333333) (/ 0.3333333333333333 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow 1 3)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 0.3333333333333333 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow 1 3)) (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) (/ 0.3333333333333333 1) (/ 0.3333333333333333 (pow N (/ 3 2))) (/ (pow N 3) (cbrt 0.3333333333333333)) (/ (pow N 3) (sqrt 0.3333333333333333)) (/ (pow N 3) 0.3333333333333333) (expm1 (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3)))) (log1p (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3)))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (log (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3)))) (exp (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3)))) (* (cbrt (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3)))) (cbrt (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3))))) (cbrt (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 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3)))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3)))) (sqrt (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3)))) (sqrt (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (/ 0.5 N)) (* (cbrt (/ 0.5 N)) (cbrt (/ 0.5 N)))))) (fma (- (cbrt (/ 0.5 N))) (* (cbrt (/ 0.5 N)) (cbrt (/ 0.5 N))) (* (cbrt (/ 0.5 N)) (* (cbrt (/ 0.5 N)) (cbrt (/ 0.5 N))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (/ 0.5 N)) (sqrt (/ 0.5 N))))) (fma (- (sqrt (/ 0.5 N))) (sqrt (/ 0.5 N)) (* (sqrt (/ 0.5 N)) (sqrt (/ 0.5 N)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ (cbrt 0.5) (cbrt N)) (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt N) (cbrt N)))))) (fma (- (/ (cbrt 0.5) (cbrt N))) (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt N) (cbrt N))) (* (/ (cbrt 0.5) (cbrt N)) (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt N) (cbrt N))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ (cbrt 0.5) (sqrt N)) (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt N))))) (fma (- (/ (cbrt 0.5) (sqrt N))) (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt N)) (* (/ (cbrt 0.5) (sqrt N)) (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt N)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) 1)))) (fma (- (/ (cbrt 0.5) N)) (/ (* (cbrt 0.5) (cbrt 0.5)) 1) (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) 1))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ (sqrt 0.5) (cbrt N)) (/ (sqrt 0.5) (* (cbrt N) (cbrt N)))))) (fma (- (/ (sqrt 0.5) (cbrt N))) (/ (sqrt 0.5) (* (cbrt N) (cbrt N))) (* (/ (sqrt 0.5) (cbrt N)) (/ (sqrt 0.5) (* (cbrt N) (cbrt N))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ (sqrt 0.5) (sqrt N)) (/ (sqrt 0.5) (sqrt N))))) (fma (- (/ (sqrt 0.5) (sqrt N))) (/ (sqrt 0.5) (sqrt N)) (* (/ (sqrt 0.5) (sqrt N)) (/ (sqrt 0.5) (sqrt N)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) 1)))) (fma (- (/ (sqrt 0.5) N)) (/ (sqrt 0.5) 1) (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) 1))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ 0.5 (cbrt N)) (/ 1 (* (cbrt N) (cbrt N)))))) (fma (- (/ 0.5 (cbrt N))) (/ 1 (* (cbrt N) (cbrt N))) (* (/ 0.5 (cbrt N)) (/ 1 (* (cbrt N) (cbrt N))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ 0.5 (sqrt N)) (/ 1 (sqrt N))))) (fma (- (/ 0.5 (sqrt N))) (/ 1 (sqrt N)) (* (/ 0.5 (sqrt N)) (/ 1 (sqrt N)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ 0.5 N) (/ 1 1)))) (fma (- (/ 0.5 N)) (/ 1 1) (* (/ 0.5 N) (/ 1 1))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ 0.5 N) 1))) (fma (- (/ 0.5 N)) 1 (* (/ 0.5 N) 1)) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ 1 N) 0.5))) (fma (- (/ 1 N)) 0.5 (* (/ 1 N) 0.5)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (/ 0.5 N)) (* (cbrt (/ 0.5 N)) (cbrt (/ 0.5 N)))))) (fma (- (cbrt (/ 0.5 N))) (* (cbrt (/ 0.5 N)) (cbrt (/ 0.5 N))) (* (cbrt (/ 0.5 N)) (* (cbrt (/ 0.5 N)) (cbrt (/ 0.5 N))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (/ 0.5 N)) (sqrt (/ 0.5 N))))) (fma (- (sqrt (/ 0.5 N))) (sqrt (/ 0.5 N)) (* (sqrt (/ 0.5 N)) (sqrt (/ 0.5 N)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (/ (cbrt 0.5) (cbrt N)) (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt N) (cbrt N)))))) (fma (- (/ (cbrt 0.5) (cbrt N))) (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt N) (cbrt N))) (* (/ (cbrt 0.5) (cbrt N)) (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt N) (cbrt N))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (/ (cbrt 0.5) (sqrt N)) (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt N))))) (fma (- (/ (cbrt 0.5) (sqrt N))) (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt N)) (* (/ (cbrt 0.5) (sqrt N)) (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt N)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) 1)))) (fma (- (/ (cbrt 0.5) N)) (/ (* (cbrt 0.5) (cbrt 0.5)) 1) (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) 1))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (/ (sqrt 0.5) (cbrt N)) (/ (sqrt 0.5) (* (cbrt N) (cbrt N)))))) (fma (- (/ (sqrt 0.5) (cbrt N))) (/ (sqrt 0.5) (* (cbrt N) (cbrt N))) (* (/ (sqrt 0.5) (cbrt N)) (/ (sqrt 0.5) (* (cbrt N) (cbrt N))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (/ (sqrt 0.5) (sqrt N)) (/ (sqrt 0.5) (sqrt N))))) (fma (- (/ (sqrt 0.5) (sqrt N))) (/ (sqrt 0.5) (sqrt N)) (* (/ (sqrt 0.5) (sqrt N)) (/ (sqrt 0.5) (sqrt N)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) 1)))) (fma (- (/ (sqrt 0.5) N)) (/ (sqrt 0.5) 1) (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) 1))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (/ 0.5 (cbrt N)) (/ 1 (* (cbrt N) (cbrt N)))))) (fma (- (/ 0.5 (cbrt N))) (/ 1 (* (cbrt N) (cbrt N))) (* (/ 0.5 (cbrt N)) (/ 1 (* (cbrt N) (cbrt N))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (/ 0.5 (sqrt N)) (/ 1 (sqrt N))))) (fma (- (/ 0.5 (sqrt N))) (/ 1 (sqrt N)) (* (/ 0.5 (sqrt N)) (/ 1 (sqrt N)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (/ 0.5 N) (/ 1 1)))) (fma (- (/ 0.5 N)) (/ 1 1) (* (/ 0.5 N) (/ 1 1))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (/ 0.5 N) 1))) (fma (- (/ 0.5 N)) 1 (* (/ 0.5 N) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (/ 1 N) 0.5))) (fma (- (/ 1 N)) 0.5 (* (/ 1 N) 0.5)) (fma 1 1.0 (- (* (cbrt (/ 0.5 N)) (* (cbrt (/ 0.5 N)) (cbrt (/ 0.5 N)))))) (fma (- (cbrt (/ 0.5 N))) (* (cbrt (/ 0.5 N)) (cbrt (/ 0.5 N))) (* (cbrt (/ 0.5 N)) (* (cbrt (/ 0.5 N)) (cbrt (/ 0.5 N))))) (fma 1 1.0 (- (* (sqrt (/ 0.5 N)) (sqrt (/ 0.5 N))))) (fma (- (sqrt (/ 0.5 N))) (sqrt (/ 0.5 N)) (* (sqrt (/ 0.5 N)) (sqrt (/ 0.5 N)))) (fma 1 1.0 (- (* (/ (cbrt 0.5) (cbrt N)) (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt N) (cbrt N)))))) (fma (- (/ (cbrt 0.5) (cbrt N))) (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt N) (cbrt N))) (* (/ (cbrt 0.5) (cbrt N)) (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt N) (cbrt N))))) (fma 1 1.0 (- (* (/ (cbrt 0.5) (sqrt N)) (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt N))))) (fma (- (/ (cbrt 0.5) (sqrt N))) (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt N)) (* (/ (cbrt 0.5) (sqrt N)) (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt N)))) (fma 1 1.0 (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) 1)))) (fma (- (/ (cbrt 0.5) N)) (/ (* (cbrt 0.5) (cbrt 0.5)) 1) (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) 1))) (fma 1 1.0 (- (* (/ (sqrt 0.5) (cbrt N)) (/ (sqrt 0.5) (* (cbrt N) (cbrt N)))))) (fma (- (/ (sqrt 0.5) (cbrt N))) (/ (sqrt 0.5) (* (cbrt N) (cbrt N))) (* (/ (sqrt 0.5) (cbrt N)) (/ (sqrt 0.5) (* (cbrt N) (cbrt N))))) (fma 1 1.0 (- (* (/ (sqrt 0.5) (sqrt N)) (/ (sqrt 0.5) (sqrt N))))) (fma (- (/ (sqrt 0.5) (sqrt N))) (/ (sqrt 0.5) (sqrt N)) (* (/ (sqrt 0.5) (sqrt N)) (/ (sqrt 0.5) (sqrt N)))) (fma 1 1.0 (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) 1)))) (fma (- (/ (sqrt 0.5) N)) (/ (sqrt 0.5) 1) (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) 1))) (fma 1 1.0 (- (* (/ 0.5 (cbrt N)) (/ 1 (* (cbrt N) (cbrt N)))))) (fma (- (/ 0.5 (cbrt N))) (/ 1 (* (cbrt N) (cbrt N))) (* (/ 0.5 (cbrt N)) (/ 1 (* (cbrt N) (cbrt N))))) (fma 1 1.0 (- (* (/ 0.5 (sqrt N)) (/ 1 (sqrt N))))) (fma (- (/ 0.5 (sqrt N))) (/ 1 (sqrt N)) (* (/ 0.5 (sqrt N)) (/ 1 (sqrt N)))) (fma 1 1.0 (- (* (/ 0.5 N) (/ 1 1)))) (fma (- (/ 0.5 N)) (/ 1 1) (* (/ 0.5 N) (/ 1 1))) (fma 1 1.0 (- (* (/ 0.5 N) 1))) (fma (- (/ 0.5 N)) 1 (* (/ 0.5 N) 1)) (fma 1 1.0 (- (* (/ 1 N) 0.5))) (fma (- (/ 1 N)) 0.5 (* (/ 1 N) 0.5)) (expm1 (- 1.0 (/ 0.5 N))) (log1p (- 1.0 (/ 0.5 N))) (- (/ 0.5 N)) (- (/ 0.5 N)) (- (/ 0.5 N)) (/ (exp 1.0) (exp (/ 0.5 N))) (log (- 1.0 (/ 0.5 N))) (exp (- 1.0 (/ 0.5 N))) (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (cbrt (- 1.0 (/ 0.5 N))) (* (* (- 1.0 (/ 0.5 N)) (- 1.0 (/ 0.5 N))) (- 1.0 (/ 0.5 N))) (sqrt (- 1.0 (/ 0.5 N))) (sqrt (- 1.0 (/ 0.5 N))) (- (pow 1.0 3) (pow (/ 0.5 N) 3)) (+ (* 1.0 1.0) (+ (* (/ 0.5 N) (/ 0.5 N)) (* 1.0 (/ 0.5 N)))) (- (/ 0.5 N)) (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N))) (+ 1.0 (/ 0.5 N)) (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (- (sqrt 1.0) (sqrt (/ 0.5 N))) (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (- 1.0 (/ 0.5 N)) (- (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 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 (* 0.5 (/ 1 N))) (- 1.0 (* 0.5 (/ 1 N))) (- 1.0 (* 0.5 (/ 1 N))) 1.003 * * [simplify]: iteration 0 : 575 enodes (cost 1382 ) 1.013 * * [simplify]: iteration 1 : 2489 enodes (cost 916 ) 1.059 * * [simplify]: iteration 2 : 5002 enodes (cost 841 ) 1.064 * [simplify]: Simplified to: (expm1 (/ 0.3333333333333333 (pow N 3))) (log1p (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.3333333333333333 (pow N 3))) (pow (/ 0.3333333333333333 (pow N 3)) 3) (* (cbrt (/ 0.3333333333333333 (pow N 3))) (cbrt (/ 0.3333333333333333 (pow N 3)))) (cbrt (/ 0.3333333333333333 (pow N 3))) (pow (/ 0.3333333333333333 (pow N 3)) 3) (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (- 0.3333333333333333) (- (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) (/ (cbrt 0.3333333333333333) (* N N)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt (pow N 3))) (/ (cbrt 0.3333333333333333) (sqrt (pow N 3))) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow N 3/2)) (/ (cbrt 0.3333333333333333) (pow N 3/2)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (pow N 3/2)) (/ (sqrt 0.3333333333333333) (pow N 3/2)) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 N) (/ 0.3333333333333333 (* N N)) (/ 1 (sqrt (pow N 3))) (/ 0.3333333333333333 (sqrt (pow N 3))) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N 3/2)) (/ 0.3333333333333333 (pow N 3/2)) (/ 1 (pow N 3)) (/ (pow N 3) 0.3333333333333333) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 0.3333333333333333 (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 0.3333333333333333 (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) 0.3333333333333333 (/ 0.3333333333333333 (pow N 3/2)) (/ (pow N 3) (cbrt 0.3333333333333333)) (/ (pow N 3) (sqrt 0.3333333333333333)) (/ (pow N 3) 0.3333333333333333) (expm1 (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3)))) (log1p (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3)))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (log (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3)))) (exp (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3)))) (* (cbrt (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3)))) (cbrt (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3))))) (cbrt (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3)))) (pow (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3))) 3) (sqrt (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3)))) (sqrt (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3)))) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (/ 0.5 N)) (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (/ 0.5 N)) (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (/ 0.5 N)) (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) (fma (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0)) (/ (- (/ 0.5 (sqrt N))) (sqrt N))) (* (/ 0.5 (sqrt N)) (+ (- (/ 1 (sqrt N))) (/ 1 (sqrt N)))) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (/ 0.5 N)) (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (/ 0.5 N)) (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) (fma (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0)) (/ (- (/ 0.5 (sqrt N))) (sqrt N))) (* (/ 0.5 (sqrt N)) (+ (- (/ 1 (sqrt N))) (/ 1 (sqrt N)))) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (/ 0.5 N)) (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (/ 0.5 N)) (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) (fma (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0)) (/ (- (/ 0.5 (sqrt N))) (sqrt N))) (* (/ 0.5 (sqrt N)) (+ (- (/ 1 (sqrt N))) (/ 1 (sqrt N)))) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (/ 0.5 N)) (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (/ 0.5 N)) (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (/ 0.5 N)) (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) (- 1.0 (/ 0.5 N)) (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) (- 1.0 (/ 0.5 N)) (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) (- 1.0 (/ 0.5 N)) (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) (- 1.0 (* (/ 0.5 (sqrt N)) (/ 1 (sqrt N)))) (* (/ 0.5 (sqrt N)) (+ (- (/ 1 (sqrt N))) (/ 1 (sqrt N)))) (- 1.0 (/ 0.5 N)) (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) (- 1.0 (/ 0.5 N)) (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) (- 1.0 (* (/ 0.5 (sqrt N)) (/ 1 (sqrt N)))) (* (/ 0.5 (sqrt N)) (+ (- (/ 1 (sqrt N))) (/ 1 (sqrt N)))) (- 1.0 (/ 0.5 N)) (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) (- 1.0 (/ 0.5 N)) (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) (- 1.0 (* (/ 0.5 (sqrt N)) (/ 1 (sqrt N)))) (* (/ 0.5 (sqrt N)) (+ (- (/ 1 (sqrt N))) (/ 1 (sqrt N)))) (- 1.0 (/ 0.5 N)) (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) (- 1.0 (/ 0.5 N)) (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) (- 1.0 (/ 0.5 N)) (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) (- 1.0 (/ 0.5 N)) (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) (- 1.0 (/ 0.5 N)) (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) (- 1.0 (/ 0.5 N)) (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) (- 1.0 (* (/ 0.5 (sqrt N)) (/ 1 (sqrt N)))) (* (/ 0.5 (sqrt N)) (+ (- (/ 1 (sqrt N))) (/ 1 (sqrt N)))) (- 1.0 (/ 0.5 N)) (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) (- 1.0 (/ 0.5 N)) (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) (- 1.0 (* (/ 0.5 (sqrt N)) (/ 1 (sqrt N)))) (* (/ 0.5 (sqrt N)) (+ (- (/ 1 (sqrt N))) (/ 1 (sqrt N)))) (- 1.0 (/ 0.5 N)) (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) (- 1.0 (/ 0.5 N)) (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) (- 1.0 (* (/ 0.5 (sqrt N)) (/ 1 (sqrt N)))) (* (/ 0.5 (sqrt N)) (+ (- (/ 1 (sqrt N))) (/ 1 (sqrt N)))) (- 1.0 (/ 0.5 N)) (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) (- 1.0 (/ 0.5 N)) (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) (- 1.0 (/ 0.5 N)) (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) (expm1 (- 1.0 (/ 0.5 N))) (log1p (- 1.0 (/ 0.5 N))) (- (/ 0.5 N)) (- (/ 0.5 N)) (- (/ 0.5 N)) (exp (- 1.0 (/ 0.5 N))) (log (- 1.0 (/ 0.5 N))) (exp (- 1.0 (/ 0.5 N))) (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (cbrt (- 1.0 (/ 0.5 N))) (pow (- 1.0 (/ 0.5 N)) 3) (sqrt (- 1.0 (/ 0.5 N))) (sqrt (- 1.0 (/ 0.5 N))) (- (pow 1.0 3) (pow (/ 0.5 N) 3)) (fma (/ 0.5 N) (+ 1.0 (/ 0.5 N)) (* 1.0 1.0)) (- (/ 0.5 N)) (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N))) (+ 1.0 (/ 0.5 N)) (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (- (sqrt 1.0) (sqrt (/ 0.5 N))) (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (- 1.0 (/ 0.5 N)) (- (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (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 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3))) (- 1.0 (/ 0.5 N)) (- 1.0 (/ 0.5 N)) (- 1.0 (/ 0.5 N)) 1.065 * * * [progress]: adding candidates to table 1.271 * * [progress]: iteration 4 / 4 1.271 * * * [progress]: picking best candidate 1.274 * * * * [pick]: Picked # 1.274 * * * [progress]: localizing error 1.284 * * * [progress]: generating rewritten candidates 1.284 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.297 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 1.299 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.301 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.307 * * * [progress]: generating series expansions 1.307 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.307 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 1.307 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 1.307 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.307 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.307 * [taylor]: Taking taylor expansion of N in N 1.307 * [taylor]: Taking taylor expansion of 1.0 in N 1.308 * [taylor]: Taking taylor expansion of (log N) in N 1.308 * [taylor]: Taking taylor expansion of N in N 1.308 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 1.308 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.308 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.308 * [taylor]: Taking taylor expansion of N in N 1.308 * [taylor]: Taking taylor expansion of 1.0 in N 1.309 * [taylor]: Taking taylor expansion of (log N) in N 1.309 * [taylor]: Taking taylor expansion of N in N 1.327 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 1.327 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 1.327 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.327 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.327 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.327 * [taylor]: Taking taylor expansion of N in N 1.327 * [taylor]: Taking taylor expansion of 1.0 in N 1.328 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.328 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.328 * [taylor]: Taking taylor expansion of N in N 1.328 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 1.328 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.328 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.328 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.328 * [taylor]: Taking taylor expansion of N in N 1.328 * [taylor]: Taking taylor expansion of 1.0 in N 1.329 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.329 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.329 * [taylor]: Taking taylor expansion of N in N 1.363 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 1.363 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 1.363 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.363 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.363 * [taylor]: Taking taylor expansion of 1.0 in N 1.363 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.363 * [taylor]: Taking taylor expansion of N in N 1.364 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 1.364 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.365 * [taylor]: Taking taylor expansion of -1 in N 1.365 * [taylor]: Taking taylor expansion of N in N 1.365 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 1.365 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.365 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.365 * [taylor]: Taking taylor expansion of 1.0 in N 1.365 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.365 * [taylor]: Taking taylor expansion of N in N 1.366 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 1.366 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.366 * [taylor]: Taking taylor expansion of -1 in N 1.366 * [taylor]: Taking taylor expansion of N in N 1.400 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 1.400 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 1.400 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.400 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.400 * [taylor]: Taking taylor expansion of N in N 1.400 * [taylor]: Taking taylor expansion of 1.0 in N 1.401 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.401 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.401 * [taylor]: Taking taylor expansion of N in N 1.401 * [taylor]: Taking taylor expansion of 1.0 in N 1.412 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 1.412 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.412 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.412 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.412 * [taylor]: Taking taylor expansion of N in N 1.413 * [taylor]: Taking taylor expansion of 1.0 in N 1.413 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.413 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.413 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.413 * [taylor]: Taking taylor expansion of N in N 1.413 * [taylor]: Taking taylor expansion of 1.0 in N 1.431 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 1.431 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.431 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.431 * [taylor]: Taking taylor expansion of 1.0 in N 1.431 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.431 * [taylor]: Taking taylor expansion of N in N 1.432 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.432 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.432 * [taylor]: Taking taylor expansion of 1.0 in N 1.432 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.432 * [taylor]: Taking taylor expansion of N in N 1.446 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.446 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 1.446 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.446 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.446 * [taylor]: Taking taylor expansion of N in N 1.446 * [taylor]: Taking taylor expansion of 1.0 in N 1.447 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.447 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.447 * [taylor]: Taking taylor expansion of N in N 1.447 * [taylor]: Taking taylor expansion of 1.0 in N 1.458 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 1.458 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.458 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.458 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.459 * [taylor]: Taking taylor expansion of N in N 1.459 * [taylor]: Taking taylor expansion of 1.0 in N 1.459 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.459 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.459 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.459 * [taylor]: Taking taylor expansion of N in N 1.460 * [taylor]: Taking taylor expansion of 1.0 in N 1.472 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 1.472 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.472 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.472 * [taylor]: Taking taylor expansion of 1.0 in N 1.472 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.472 * [taylor]: Taking taylor expansion of N in N 1.473 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.473 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.473 * [taylor]: Taking taylor expansion of 1.0 in N 1.473 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.473 * [taylor]: Taking taylor expansion of N in N 1.487 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.487 * [approximate]: Taking taylor expansion of (log (log (+ N 1.0))) in (N) around 0 1.487 * [taylor]: Taking taylor expansion of (log (log (+ N 1.0))) in N 1.487 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.487 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.487 * [taylor]: Taking taylor expansion of N in N 1.487 * [taylor]: Taking taylor expansion of 1.0 in N 1.488 * [taylor]: Taking taylor expansion of (log (log (+ N 1.0))) in N 1.488 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.488 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.489 * [taylor]: Taking taylor expansion of N in N 1.489 * [taylor]: Taking taylor expansion of 1.0 in N 1.531 * [approximate]: Taking taylor expansion of (log (log (+ (/ 1 N) 1.0))) in (N) around 0 1.531 * [taylor]: Taking taylor expansion of (log (log (+ (/ 1 N) 1.0))) in N 1.531 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.531 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.531 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.531 * [taylor]: Taking taylor expansion of N in N 1.531 * [taylor]: Taking taylor expansion of 1.0 in N 1.533 * [taylor]: Taking taylor expansion of (log (log (+ (/ 1 N) 1.0))) in N 1.533 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.533 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.533 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.533 * [taylor]: Taking taylor expansion of N in N 1.533 * [taylor]: Taking taylor expansion of 1.0 in N 1.550 * [approximate]: Taking taylor expansion of (log (log (- 1.0 (/ 1 N)))) in (N) around 0 1.550 * [taylor]: Taking taylor expansion of (log (log (- 1.0 (/ 1 N)))) in N 1.550 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.550 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.550 * [taylor]: Taking taylor expansion of 1.0 in N 1.550 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.550 * [taylor]: Taking taylor expansion of N in N 1.553 * [taylor]: Taking taylor expansion of (log (log (- 1.0 (/ 1 N)))) in N 1.553 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.553 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.553 * [taylor]: Taking taylor expansion of 1.0 in N 1.553 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.553 * [taylor]: Taking taylor expansion of N in N 1.576 * * * [progress]: simplifying candidates 1.578 * [simplify]: Simplifying using # : (fma (exp (log 1)) (exp (log (log (+ N 1.0)))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (exp (log 1)) (exp (log (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 (exp (log 1)) (exp (log (log (+ N 1.0)))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (exp (log 1)) (exp (log (log (+ N 1.0)))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (exp (log (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))))) (exp (log (cbrt (log (+ N 1.0))))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (exp (log (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))))) (exp (log (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 (exp (log (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))))) (exp (log (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 (exp (log (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))))) (exp (log (cbrt (log (+ N 1.0))))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (exp (log (sqrt (log (+ N 1.0))))) (exp (log (sqrt (log (+ N 1.0))))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (exp (log (sqrt (log (+ N 1.0))))) (exp (log (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 (exp (log (sqrt (log (+ N 1.0))))) (exp (log (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 (exp (log (sqrt (log (+ N 1.0))))) (exp (log (sqrt (log (+ N 1.0))))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (exp (log 1)) (exp (log (log (+ N 1.0)))) (- (* (log N) 1))) (fma (- 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[regime-changes]: Trying 1 branch expressions: (N) 1.836 * * * * [regimes]: Trying to branch on N from (# # #) 1.856 * * * [regime]: Found split indices: #