5.338 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.043 * * * [progress]: [2/2] Setting up program. 0.045 * [progress]: [Phase 2 of 3] Improving. 0.045 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.047 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.048 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.049 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.050 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.050 * * [progress]: iteration 1 / 4 0.050 * * * [progress]: picking best candidate 0.051 * * * * [pick]: Picked # 0.051 * * * [progress]: localizing error 0.058 * * * [progress]: generating rewritten candidates 0.058 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.065 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.069 * * * [progress]: generating series expansions 0.069 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.069 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.069 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.069 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.069 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.069 * [taylor]: Taking taylor expansion of N in N 0.069 * [taylor]: Taking taylor expansion of 1.0 in N 0.070 * [taylor]: Taking taylor expansion of (log N) in N 0.070 * [taylor]: Taking taylor expansion of N in N 0.071 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.071 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.071 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.071 * [taylor]: Taking taylor expansion of N in N 0.071 * [taylor]: Taking taylor expansion of 1.0 in N 0.071 * [taylor]: Taking taylor expansion of (log N) in N 0.071 * [taylor]: Taking taylor expansion of N in N 0.094 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.094 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.094 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.094 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.094 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.094 * [taylor]: Taking taylor expansion of N in N 0.094 * [taylor]: Taking taylor expansion of 1.0 in N 0.095 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.095 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.095 * [taylor]: Taking taylor expansion of N in N 0.095 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.095 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.095 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.096 * [taylor]: Taking taylor expansion of N in N 0.096 * [taylor]: Taking taylor expansion of 1.0 in N 0.096 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.096 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.096 * [taylor]: Taking taylor expansion of N in N 0.126 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.126 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.126 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.126 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.126 * [taylor]: Taking taylor expansion of 1.0 in N 0.126 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.126 * [taylor]: Taking taylor expansion of N in N 0.127 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.127 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.127 * [taylor]: Taking taylor expansion of -1 in N 0.127 * [taylor]: Taking taylor expansion of N in N 0.128 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.128 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.128 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.128 * [taylor]: Taking taylor expansion of 1.0 in N 0.128 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.128 * [taylor]: Taking taylor expansion of N in N 0.129 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.129 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.129 * [taylor]: Taking taylor expansion of -1 in N 0.129 * [taylor]: Taking taylor expansion of N in N 0.167 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.167 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.167 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.167 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.167 * [taylor]: Taking taylor expansion of N in N 0.167 * [taylor]: Taking taylor expansion of 1.0 in N 0.167 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.167 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.167 * [taylor]: Taking taylor expansion of N in N 0.167 * [taylor]: Taking taylor expansion of 1.0 in N 0.179 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.179 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.179 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.179 * [taylor]: Taking taylor expansion of N in N 0.179 * [taylor]: Taking taylor expansion of 1.0 in N 0.180 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.180 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.180 * [taylor]: Taking taylor expansion of N in N 0.180 * [taylor]: Taking taylor expansion of 1.0 in N 0.192 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.192 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.192 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.192 * [taylor]: Taking taylor expansion of 1.0 in N 0.192 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.192 * [taylor]: Taking taylor expansion of N in N 0.193 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.193 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.193 * [taylor]: Taking taylor expansion of 1.0 in N 0.193 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.193 * [taylor]: Taking taylor expansion of N in N 0.207 * * * [progress]: simplifying candidates 0.208 * [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)))) 0.212 * * [simplify]: iteration 0 : 277 enodes (cost 598 ) 0.217 * * [simplify]: iteration 1 : 837 enodes (cost 444 ) 0.234 * * [simplify]: iteration 2 : 3748 enodes (cost 347 ) 0.326 * * [simplify]: iteration 3 : 5001 enodes (cost 343 ) 0.328 * [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))))) 0.328 * * * [progress]: adding candidates to table 0.451 * * [progress]: iteration 2 / 4 0.451 * * * [progress]: picking best candidate 0.459 * * * * [pick]: Picked # 0.459 * * * [progress]: localizing error 0.463 * * * [progress]: generating rewritten candidates 0.463 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.467 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.476 * * * [progress]: generating series expansions 0.476 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.476 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.476 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.476 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.476 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.476 * [taylor]: Taking taylor expansion of N in N 0.476 * [taylor]: Taking taylor expansion of 1.0 in N 0.476 * [taylor]: Taking taylor expansion of N in N 0.478 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.478 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.478 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.478 * [taylor]: Taking taylor expansion of N in N 0.478 * [taylor]: Taking taylor expansion of 1.0 in N 0.478 * [taylor]: Taking taylor expansion of N in N 0.491 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.491 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.491 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.491 * [taylor]: Taking taylor expansion of N in N 0.491 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.491 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.491 * [taylor]: Taking taylor expansion of N in N 0.491 * [taylor]: Taking taylor expansion of 1.0 in N 0.493 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.493 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.493 * [taylor]: Taking taylor expansion of N in N 0.493 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.493 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.493 * [taylor]: Taking taylor expansion of N in N 0.493 * [taylor]: Taking taylor expansion of 1.0 in N 0.519 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.519 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.519 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.519 * [taylor]: Taking taylor expansion of -1 in N 0.519 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.519 * [taylor]: Taking taylor expansion of N in N 0.519 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.519 * [taylor]: Taking taylor expansion of 1.0 in N 0.519 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.519 * [taylor]: Taking taylor expansion of N in N 0.522 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.522 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.522 * [taylor]: Taking taylor expansion of -1 in N 0.522 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.522 * [taylor]: Taking taylor expansion of N in N 0.522 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.522 * [taylor]: Taking taylor expansion of 1.0 in N 0.522 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.522 * [taylor]: Taking taylor expansion of N in N 0.559 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.559 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.559 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.559 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.559 * [taylor]: Taking taylor expansion of N in N 0.559 * [taylor]: Taking taylor expansion of 1.0 in N 0.559 * [taylor]: Taking taylor expansion of N in N 0.560 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.560 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.560 * [taylor]: Taking taylor expansion of N in N 0.560 * [taylor]: Taking taylor expansion of 1.0 in N 0.560 * [taylor]: Taking taylor expansion of N in N 0.566 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.566 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.566 * [taylor]: Taking taylor expansion of N in N 0.566 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.566 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.566 * [taylor]: Taking taylor expansion of N in N 0.567 * [taylor]: Taking taylor expansion of 1.0 in N 0.567 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.567 * [taylor]: Taking taylor expansion of N in N 0.567 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.567 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.567 * [taylor]: Taking taylor expansion of N in N 0.567 * [taylor]: Taking taylor expansion of 1.0 in N 0.581 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.581 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.581 * [taylor]: Taking taylor expansion of -1 in N 0.581 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.581 * [taylor]: Taking taylor expansion of N in N 0.581 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.581 * [taylor]: Taking taylor expansion of 1.0 in N 0.581 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.581 * [taylor]: Taking taylor expansion of N in N 0.581 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.581 * [taylor]: Taking taylor expansion of -1 in N 0.581 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.581 * [taylor]: Taking taylor expansion of N in N 0.581 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.581 * [taylor]: Taking taylor expansion of 1.0 in N 0.581 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.581 * [taylor]: Taking taylor expansion of N in N 0.604 * * * [progress]: simplifying candidates 0.605 * [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) 0.614 * * [simplify]: iteration 0 : 243 enodes (cost 383 ) 0.619 * * [simplify]: iteration 1 : 808 enodes (cost 358 ) 0.633 * * [simplify]: iteration 2 : 3663 enodes (cost 347 ) 0.711 * * [simplify]: iteration 3 : 5001 enodes (cost 344 ) 0.713 * [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) 0.714 * * * [progress]: adding candidates to table 0.829 * * [progress]: iteration 3 / 4 0.829 * * * [progress]: picking best candidate 0.837 * * * * [pick]: Picked # 0.837 * * * [progress]: localizing error 0.844 * * * [progress]: generating rewritten candidates 0.844 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.848 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.853 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.858 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.868 * * * [progress]: generating series expansions 0.868 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.868 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 0.868 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.868 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.868 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.868 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.868 * [taylor]: Taking taylor expansion of N in N 0.868 * [taylor]: Taking taylor expansion of 1.0 in N 0.868 * [taylor]: Taking taylor expansion of N in N 0.871 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.871 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.871 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.871 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.871 * [taylor]: Taking taylor expansion of N in N 0.871 * [taylor]: Taking taylor expansion of 1.0 in N 0.871 * [taylor]: Taking taylor expansion of N in N 0.894 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 0.895 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.895 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.895 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.895 * [taylor]: Taking taylor expansion of N in N 0.895 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.895 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.895 * [taylor]: Taking taylor expansion of N in N 0.895 * [taylor]: Taking taylor expansion of 1.0 in N 0.900 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.900 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.900 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.900 * [taylor]: Taking taylor expansion of N in N 0.900 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.900 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.900 * [taylor]: Taking taylor expansion of N in N 0.900 * [taylor]: Taking taylor expansion of 1.0 in N 0.938 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 0.938 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.938 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.938 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.938 * [taylor]: Taking taylor expansion of -1 in N 0.938 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.938 * [taylor]: Taking taylor expansion of N in N 0.938 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.938 * [taylor]: Taking taylor expansion of 1.0 in N 0.938 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.938 * [taylor]: Taking taylor expansion of N in N 0.946 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.946 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.946 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.946 * [taylor]: Taking taylor expansion of -1 in N 0.946 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.946 * [taylor]: Taking taylor expansion of N in N 0.946 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.946 * [taylor]: Taking taylor expansion of 1.0 in N 0.946 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.946 * [taylor]: Taking taylor expansion of N in N 0.993 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.993 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 0.993 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.993 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.993 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.993 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.993 * [taylor]: Taking taylor expansion of N in N 0.993 * [taylor]: Taking taylor expansion of 1.0 in N 0.993 * [taylor]: Taking taylor expansion of N in N 0.995 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.995 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.995 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.995 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.995 * [taylor]: Taking taylor expansion of N in N 0.995 * [taylor]: Taking taylor expansion of 1.0 in N 0.995 * [taylor]: Taking taylor expansion of N in N 1.014 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 1.014 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 1.014 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.014 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.014 * [taylor]: Taking taylor expansion of N in N 1.014 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.014 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.014 * [taylor]: Taking taylor expansion of N in N 1.015 * [taylor]: Taking taylor expansion of 1.0 in N 1.020 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 1.020 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.020 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.020 * [taylor]: Taking taylor expansion of N in N 1.020 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.020 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.020 * [taylor]: Taking taylor expansion of N in N 1.020 * [taylor]: Taking taylor expansion of 1.0 in N 1.063 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 1.063 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.063 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.063 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.063 * [taylor]: Taking taylor expansion of -1 in N 1.063 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.063 * [taylor]: Taking taylor expansion of N in N 1.063 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.063 * [taylor]: Taking taylor expansion of 1.0 in N 1.063 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.063 * [taylor]: Taking taylor expansion of N in N 1.071 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.071 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.071 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.071 * [taylor]: Taking taylor expansion of -1 in N 1.071 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.071 * [taylor]: Taking taylor expansion of N in N 1.071 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.071 * [taylor]: Taking taylor expansion of 1.0 in N 1.071 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.071 * [taylor]: Taking taylor expansion of N in N 1.114 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.114 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 1.114 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.114 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.114 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.114 * [taylor]: Taking taylor expansion of N in N 1.114 * [taylor]: Taking taylor expansion of 1.0 in N 1.114 * [taylor]: Taking taylor expansion of N in N 1.116 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.116 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.116 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.116 * [taylor]: Taking taylor expansion of N in N 1.116 * [taylor]: Taking taylor expansion of 1.0 in N 1.116 * [taylor]: Taking taylor expansion of N in N 1.129 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.129 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.129 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.129 * [taylor]: Taking taylor expansion of N in N 1.129 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.129 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.129 * [taylor]: Taking taylor expansion of N in N 1.129 * [taylor]: Taking taylor expansion of 1.0 in N 1.134 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.134 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.134 * [taylor]: Taking taylor expansion of N in N 1.134 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.134 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.134 * [taylor]: Taking taylor expansion of N in N 1.134 * [taylor]: Taking taylor expansion of 1.0 in N 1.143 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.143 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.143 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.143 * [taylor]: Taking taylor expansion of -1 in N 1.143 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.143 * [taylor]: Taking taylor expansion of N in N 1.143 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.143 * [taylor]: Taking taylor expansion of 1.0 in N 1.143 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.143 * [taylor]: Taking taylor expansion of N in N 1.151 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.151 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.151 * [taylor]: Taking taylor expansion of -1 in N 1.151 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.151 * [taylor]: Taking taylor expansion of N in N 1.151 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.151 * [taylor]: Taking taylor expansion of 1.0 in N 1.151 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.151 * [taylor]: Taking taylor expansion of N in N 1.163 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.163 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 1.163 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.163 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.163 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.163 * [taylor]: Taking taylor expansion of N in N 1.163 * [taylor]: Taking taylor expansion of 1.0 in N 1.163 * [taylor]: Taking taylor expansion of N in N 1.165 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.165 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.165 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.165 * [taylor]: Taking taylor expansion of N in N 1.165 * [taylor]: Taking taylor expansion of 1.0 in N 1.165 * [taylor]: Taking taylor expansion of N in N 1.172 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.172 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.172 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.172 * [taylor]: Taking taylor expansion of N in N 1.172 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.172 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.172 * [taylor]: Taking taylor expansion of N in N 1.172 * [taylor]: Taking taylor expansion of 1.0 in N 1.177 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.177 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.177 * [taylor]: Taking taylor expansion of N in N 1.177 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.177 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.177 * [taylor]: Taking taylor expansion of N in N 1.178 * [taylor]: Taking taylor expansion of 1.0 in N 1.186 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.186 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.186 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.186 * [taylor]: Taking taylor expansion of -1 in N 1.186 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.186 * [taylor]: Taking taylor expansion of N in N 1.186 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.186 * [taylor]: Taking taylor expansion of 1.0 in N 1.186 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.186 * [taylor]: Taking taylor expansion of N in N 1.194 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.194 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.194 * [taylor]: Taking taylor expansion of -1 in N 1.194 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.194 * [taylor]: Taking taylor expansion of N in N 1.194 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.194 * [taylor]: Taking taylor expansion of 1.0 in N 1.194 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.194 * [taylor]: Taking taylor expansion of N in N 1.211 * * * [progress]: simplifying candidates 1.213 * [simplify]: Simplifying using # : (expm1 (log (sqrt (/ (+ N 1.0) N)))) (log1p (log (sqrt (/ (+ N 1.0) N)))) (log (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (sqrt (/ (cbrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) 1))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt 1)) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log 1) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt N)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (/ (+ N 1.0) N)))) (exp (log (sqrt (/ (+ N 1.0) N)))) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (* (* (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (expm1 (log (sqrt (/ (+ N 1.0) N)))) (log1p (log (sqrt (/ (+ N 1.0) N)))) (log (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (sqrt (/ (cbrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) 1))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt 1)) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log 1) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt N)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (/ (+ N 1.0) N)))) (exp (log (sqrt (/ (+ N 1.0) N)))) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (* (* (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (expm1 (sqrt (/ (+ N 1.0) N))) (log1p (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (exp (sqrt (/ (+ N 1.0) N))) (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))) (cbrt (sqrt (/ (+ N 1.0) N))) (* (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))) (sqrt (/ (+ N 1.0) N))) (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (sqrt (/ (cbrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) 1)) (sqrt (/ (sqrt (+ N 1.0)) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ N 1.0) N)) (sqrt 1) (sqrt (/ (+ N 1.0) N)) (sqrt (+ N 1.0)) (sqrt (/ 1 N)) (sqrt (+ N 1.0)) (sqrt N) (/ 1 2) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (expm1 (sqrt (/ (+ N 1.0) N))) (log1p (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (exp (sqrt (/ (+ N 1.0) N))) (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))) (cbrt (sqrt (/ (+ N 1.0) N))) (* (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))) (sqrt (/ (+ N 1.0) N))) (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (sqrt (/ (cbrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) 1)) (sqrt (/ (sqrt (+ N 1.0)) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ N 1.0) N)) (sqrt 1) (sqrt (/ (+ N 1.0) N)) (sqrt (+ N 1.0)) (sqrt (/ 1 N)) (sqrt (+ N 1.0)) (sqrt N) (/ 1 2) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (- (log +nan.0) (+ (* +nan.0 (pow N 2)) (- (* +nan.0 N)))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) (- (log +nan.0) (+ (* +nan.0 (pow N 2)) (- (* +nan.0 N)))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 N) (- +nan.0))))) (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 N) (- +nan.0))))) (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 1.219 * * [simplify]: iteration 0 : 205 enodes (cost 1000 ) 1.222 * * [simplify]: iteration 1 : 482 enodes (cost 936 ) 1.231 * * [simplify]: iteration 2 : 1903 enodes (cost 904 ) 1.269 * * [simplify]: iteration 3 : 5001 enodes (cost 886 ) 1.274 * [simplify]: Simplified to: (expm1 (log (sqrt (/ (+ N 1.0) N)))) (log1p (log (sqrt (/ (+ N 1.0) N)))) (* 2 (log (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (sqrt (/ (cbrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) 1))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) 0 (log (sqrt (/ (+ N 1.0) N))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (pow N 1/2)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (/ (+ N 1.0) N)))) (sqrt (/ (+ N 1.0) N)) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (pow (log (sqrt (/ (+ N 1.0) N))) 3) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (expm1 (log (sqrt (/ (+ N 1.0) N)))) (log1p (log (sqrt (/ (+ N 1.0) N)))) (* 2 (log (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (sqrt (/ (cbrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) 1))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) 0 (log (sqrt (/ (+ N 1.0) N))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (pow N 1/2)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (/ (+ N 1.0) N)))) (sqrt (/ (+ N 1.0) N)) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (pow (log (sqrt (/ (+ N 1.0) N))) 3) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (expm1 (sqrt (/ (+ N 1.0) N))) (log1p (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (exp (sqrt (/ (+ N 1.0) N))) (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))) (cbrt (sqrt (/ (+ N 1.0) N))) (pow (sqrt (/ (+ N 1.0) N)) 3) (fabs (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (fabs (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))) (fabs (cbrt (+ N 1.0))) (sqrt (/ (cbrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) 1)) (sqrt (/ (sqrt (+ N 1.0)) N)) (fabs (/ 1 (cbrt N))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) 1 (sqrt (/ (+ N 1.0) N)) (fabs (/ 1 (cbrt N))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) 1 (sqrt (/ (+ N 1.0) N)) 1 (sqrt (/ (+ N 1.0) N)) (sqrt (+ N 1.0)) (sqrt (/ 1 N)) (sqrt (+ N 1.0)) (sqrt N) 1/2 (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (expm1 (sqrt (/ (+ N 1.0) N))) (log1p (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (exp (sqrt (/ (+ N 1.0) N))) (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))) (cbrt (sqrt (/ (+ N 1.0) N))) (pow (sqrt (/ (+ N 1.0) N)) 3) (fabs (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (fabs (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))) (fabs (cbrt (+ N 1.0))) (sqrt (/ (cbrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) 1)) (sqrt (/ (sqrt (+ N 1.0)) N)) (fabs (/ 1 (cbrt N))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) 1 (sqrt (/ (+ N 1.0) N)) (fabs (/ 1 (cbrt N))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) 1 (sqrt (/ (+ N 1.0) N)) 1 (sqrt (/ (+ N 1.0) N)) (sqrt (+ N 1.0)) (sqrt (/ 1 N)) (sqrt (+ N 1.0)) (sqrt N) 1/2 (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (fma (- +nan.0) (- (pow N 2) N) (log +nan.0)) (fma (/ 1 N) (- 0.5 (/ 0.25 N)) (/ 0.16666666666666666 (pow N 3))) (fma (/ 1 N) (- 0.5 (/ 0.25 N)) (/ 0.16666666666666666 (pow N 3))) (fma (- +nan.0) (- (pow N 2) N) (log +nan.0)) (fma (/ 1 N) (- 0.5 (/ 0.25 N)) (/ 0.16666666666666666 (pow N 3))) (fma (/ 1 N) (- 0.5 (/ 0.25 N)) (/ 0.16666666666666666 (pow N 3))) (fma (- (pow N 2)) +nan.0 (fma +nan.0 N (- +nan.0))) (fma (/ 1 N) (- 0.5 (/ 0.125 N)) 1) (fma (/ 1 N) (- 0.5 (/ 0.125 N)) 1) (fma (- (pow N 2)) +nan.0 (fma +nan.0 N (- +nan.0))) (fma (/ 1 N) (- 0.5 (/ 0.125 N)) 1) (fma (/ 1 N) (- 0.5 (/ 0.125 N)) 1) 1.275 * * * [progress]: adding candidates to table 1.600 * * [progress]: iteration 4 / 4 1.600 * * * [progress]: picking best candidate 1.609 * * * * [pick]: Picked # 1.609 * * * [progress]: localizing error 1.621 * * * [progress]: generating rewritten candidates 1.621 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 1.625 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1) 1.629 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 1.633 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.642 * * * [progress]: generating series expansions 1.642 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 1.642 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 1.642 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 1.642 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.642 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.642 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.642 * [taylor]: Taking taylor expansion of N in N 1.642 * [taylor]: Taking taylor expansion of 1.0 in N 1.642 * [taylor]: Taking taylor expansion of N in N 1.644 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 1.644 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.644 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.645 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.645 * [taylor]: Taking taylor expansion of N in N 1.645 * [taylor]: Taking taylor expansion of 1.0 in N 1.645 * [taylor]: Taking taylor expansion of N in N 1.664 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 1.664 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 1.664 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.664 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.664 * [taylor]: Taking taylor expansion of N in N 1.664 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.664 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.664 * [taylor]: Taking taylor expansion of N in N 1.664 * [taylor]: Taking taylor expansion of 1.0 in N 1.669 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 1.670 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.670 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.670 * [taylor]: Taking taylor expansion of N in N 1.670 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.670 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.670 * [taylor]: Taking taylor expansion of N in N 1.670 * [taylor]: Taking taylor expansion of 1.0 in N 1.713 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 1.713 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.713 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.713 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.713 * [taylor]: Taking taylor expansion of -1 in N 1.713 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.713 * [taylor]: Taking taylor expansion of N in N 1.713 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.713 * [taylor]: Taking taylor expansion of 1.0 in N 1.713 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.713 * [taylor]: Taking taylor expansion of N in N 1.721 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.721 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.721 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.721 * [taylor]: Taking taylor expansion of -1 in N 1.721 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.721 * [taylor]: Taking taylor expansion of N in N 1.721 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.721 * [taylor]: Taking taylor expansion of 1.0 in N 1.721 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.721 * [taylor]: Taking taylor expansion of N in N 1.770 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1) 1.770 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 1.770 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 1.770 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.770 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.770 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.770 * [taylor]: Taking taylor expansion of N in N 1.770 * [taylor]: Taking taylor expansion of 1.0 in N 1.770 * [taylor]: Taking taylor expansion of N in N 1.772 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 1.772 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.772 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.772 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.772 * [taylor]: Taking taylor expansion of N in N 1.772 * [taylor]: Taking taylor expansion of 1.0 in N 1.772 * [taylor]: Taking taylor expansion of N in N 1.791 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 1.791 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 1.791 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.791 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.791 * [taylor]: Taking taylor expansion of N in N 1.791 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.791 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.791 * [taylor]: Taking taylor expansion of N in N 1.792 * [taylor]: Taking taylor expansion of 1.0 in N 1.797 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 1.797 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.797 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.797 * [taylor]: Taking taylor expansion of N in N 1.797 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.797 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.797 * [taylor]: Taking taylor expansion of N in N 1.797 * [taylor]: Taking taylor expansion of 1.0 in N 1.840 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 1.840 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.840 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.840 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.840 * [taylor]: Taking taylor expansion of -1 in N 1.840 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.840 * [taylor]: Taking taylor expansion of N in N 1.840 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.840 * [taylor]: Taking taylor expansion of 1.0 in N 1.840 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.840 * [taylor]: Taking taylor expansion of N in N 1.849 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.849 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.849 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.849 * [taylor]: Taking taylor expansion of -1 in N 1.849 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.849 * [taylor]: Taking taylor expansion of N in N 1.849 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.849 * [taylor]: Taking taylor expansion of 1.0 in N 1.849 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.849 * [taylor]: Taking taylor expansion of N in N 1.891 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 1.891 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 1.891 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 1.891 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.891 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.891 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.891 * [taylor]: Taking taylor expansion of N in N 1.891 * [taylor]: Taking taylor expansion of 1.0 in N 1.891 * [taylor]: Taking taylor expansion of N in N 1.894 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 1.894 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.894 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.894 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.894 * [taylor]: Taking taylor expansion of N in N 1.894 * [taylor]: Taking taylor expansion of 1.0 in N 1.894 * [taylor]: Taking taylor expansion of N in N 1.913 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 1.913 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 1.913 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.913 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.913 * [taylor]: Taking taylor expansion of N in N 1.913 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.913 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.913 * [taylor]: Taking taylor expansion of N in N 1.919 * [taylor]: Taking taylor expansion of 1.0 in N 1.924 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 1.925 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.925 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.925 * [taylor]: Taking taylor expansion of N in N 1.925 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.925 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.925 * [taylor]: Taking taylor expansion of N in N 1.925 * [taylor]: Taking taylor expansion of 1.0 in N 1.962 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 1.962 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.963 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.963 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.963 * [taylor]: Taking taylor expansion of -1 in N 1.963 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.963 * [taylor]: Taking taylor expansion of N in N 1.963 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.963 * [taylor]: Taking taylor expansion of 1.0 in N 1.963 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.963 * [taylor]: Taking taylor expansion of N in N 1.971 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.971 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.971 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.971 * [taylor]: Taking taylor expansion of -1 in N 1.971 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.971 * [taylor]: Taking taylor expansion of N in N 1.971 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.971 * [taylor]: Taking taylor expansion of 1.0 in N 1.971 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.971 * [taylor]: Taking taylor expansion of N in N 2.019 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.019 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 2.019 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 2.019 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 2.019 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.019 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.019 * [taylor]: Taking taylor expansion of N in N 2.019 * [taylor]: Taking taylor expansion of 1.0 in N 2.019 * [taylor]: Taking taylor expansion of N in N 2.021 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 2.021 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 2.021 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.021 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.021 * [taylor]: Taking taylor expansion of N in N 2.021 * [taylor]: Taking taylor expansion of 1.0 in N 2.021 * [taylor]: Taking taylor expansion of N in N 2.040 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 2.040 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 2.040 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 2.040 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.040 * [taylor]: Taking taylor expansion of N in N 2.040 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.040 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.040 * [taylor]: Taking taylor expansion of N in N 2.041 * [taylor]: Taking taylor expansion of 1.0 in N 2.046 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 2.046 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 2.046 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.046 * [taylor]: Taking taylor expansion of N in N 2.046 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.046 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.046 * [taylor]: Taking taylor expansion of N in N 2.047 * [taylor]: Taking taylor expansion of 1.0 in N 2.090 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 2.090 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 2.090 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.090 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.090 * [taylor]: Taking taylor expansion of -1 in N 2.090 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.091 * [taylor]: Taking taylor expansion of N in N 2.091 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.091 * [taylor]: Taking taylor expansion of 1.0 in N 2.091 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.091 * [taylor]: Taking taylor expansion of N in N 2.099 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 2.099 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.099 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.099 * [taylor]: Taking taylor expansion of -1 in N 2.099 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.099 * [taylor]: Taking taylor expansion of N in N 2.099 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.099 * [taylor]: Taking taylor expansion of 1.0 in N 2.099 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.099 * [taylor]: Taking taylor expansion of N in N 2.141 * * * [progress]: simplifying candidates 2.143 * [simplify]: Simplifying using # : (expm1 (log (sqrt (/ (+ N 1.0) N)))) (log1p (log (sqrt (/ (+ N 1.0) N)))) (log (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (sqrt (/ (cbrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) 1))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt 1)) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log 1) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt N)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (/ (+ N 1.0) N)))) (exp (log (sqrt (/ (+ N 1.0) N)))) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (* (* (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (expm1 (log (sqrt (/ (+ N 1.0) N)))) (log1p (log (sqrt (/ (+ N 1.0) N)))) (log (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (sqrt (/ (cbrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) 1))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt 1)) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log 1) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt N)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (/ (+ N 1.0) N)))) (exp (log (sqrt (/ (+ N 1.0) N)))) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (* (* (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (expm1 (log (sqrt (/ (+ N 1.0) N)))) (log1p (log (sqrt (/ (+ N 1.0) N)))) (log (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (sqrt (/ (cbrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) 1))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt 1)) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log 1) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt N)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (/ (+ N 1.0) N)))) (exp (log (sqrt (/ (+ N 1.0) N)))) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (* (* (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (expm1 (log (sqrt (/ (+ N 1.0) N)))) (log1p (log (sqrt (/ (+ N 1.0) N)))) (log (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (sqrt (/ (cbrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) 1))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt 1)) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log 1) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt N)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (/ (+ N 1.0) N)))) (exp (log (sqrt (/ (+ N 1.0) N)))) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (* (* (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (- (log +nan.0) (+ (* +nan.0 (pow N 2)) (- (* +nan.0 N)))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) (- (log +nan.0) (+ (* +nan.0 (pow N 2)) (- (* +nan.0 N)))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) (- (log +nan.0) (+ (* +nan.0 (pow N 2)) (- (* +nan.0 N)))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) (- (log +nan.0) (+ (* +nan.0 (pow N 2)) (- (* +nan.0 N)))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 2.149 * * [simplify]: iteration 0 : 170 enodes (cost 1196 ) 2.152 * * [simplify]: iteration 1 : 375 enodes (cost 1128 ) 2.159 * * [simplify]: iteration 2 : 1496 enodes (cost 1088 ) 2.193 * * [simplify]: iteration 3 : 5001 enodes (cost 1076 ) 2.198 * [simplify]: Simplified to: (expm1 (log (sqrt (/ (+ N 1.0) N)))) (log1p (log (sqrt (/ (+ N 1.0) N)))) (* 2 (log (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (sqrt (/ (cbrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) 1))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) 0 (log (sqrt (/ (+ N 1.0) N))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (pow N 1/2)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (/ (+ N 1.0) N)))) (sqrt (/ (+ N 1.0) N)) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (pow (log (sqrt (/ (+ N 1.0) N))) 3) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (expm1 (log (sqrt (/ (+ N 1.0) N)))) (log1p (log (sqrt (/ (+ N 1.0) N)))) (* 2 (log (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (sqrt (/ (cbrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) 1))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) 0 (log (sqrt (/ (+ N 1.0) N))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (pow N 1/2)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (/ (+ N 1.0) N)))) (sqrt (/ (+ N 1.0) N)) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (pow (log (sqrt (/ (+ N 1.0) N))) 3) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (expm1 (log (sqrt (/ (+ N 1.0) N)))) (log1p (log (sqrt (/ (+ N 1.0) N)))) (* 2 (log (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (sqrt (/ (cbrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) 1))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) 0 (log (sqrt (/ (+ N 1.0) N))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (pow N 1/2)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (/ (+ N 1.0) N)))) (sqrt (/ (+ N 1.0) N)) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (pow (log (sqrt (/ (+ N 1.0) N))) 3) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (expm1 (log (sqrt (/ (+ N 1.0) N)))) (log1p (log (sqrt (/ (+ N 1.0) N)))) (* 2 (log (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (sqrt (/ (cbrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) 1))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) 0 (log (sqrt (/ (+ N 1.0) N))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (pow N 1/2)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (/ (+ N 1.0) N)))) (sqrt (/ (+ N 1.0) N)) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (pow (log (sqrt (/ (+ N 1.0) N))) 3) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (fma (- +nan.0) (- (pow N 2) N) (log +nan.0)) (fma (/ 1 N) (- 0.5 (/ 0.25 N)) (/ 0.16666666666666666 (pow N 3))) (fma (/ 1 N) (- 0.5 (/ 0.25 N)) (/ 0.16666666666666666 (pow N 3))) (fma (- +nan.0) (- (pow N 2) N) (log +nan.0)) (fma (/ 1 N) (- 0.5 (/ 0.25 N)) (/ 0.16666666666666666 (pow N 3))) (fma (/ 1 N) (- 0.5 (/ 0.25 N)) (/ 0.16666666666666666 (pow N 3))) (fma (- +nan.0) (- (pow N 2) N) (log +nan.0)) (fma (/ 1 N) (- 0.5 (/ 0.25 N)) (/ 0.16666666666666666 (pow N 3))) (fma (/ 1 N) (- 0.5 (/ 0.25 N)) (/ 0.16666666666666666 (pow N 3))) (fma (- +nan.0) (- (pow N 2) N) (log +nan.0)) (fma (/ 1 N) (- 0.5 (/ 0.25 N)) (/ 0.16666666666666666 (pow N 3))) (fma (/ 1 N) (- 0.5 (/ 0.25 N)) (/ 0.16666666666666666 (pow N 3))) 2.200 * * * [progress]: adding candidates to table 2.598 * [progress]: [Phase 3 of 3] Extracting. 2.599 * * [regime]: Finding splitpoints for: (# # # # #) 2.599 * * * [regime-changes]: Trying 1 branch expressions: (N) 2.599 * * * * [regimes]: Trying to branch on N from (# # # # #) 2.626 * * * [regime]: Found split indices: #