13.340 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.047 * * * [progress]: [2/2] Setting up program. 0.049 * [progress]: [Phase 2 of 3] Improving. 0.049 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.051 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.053 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.054 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.054 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.054 * * [progress]: iteration 1 / 4 0.054 * * * [progress]: picking best candidate 0.056 * * * * [pick]: Picked # 0.056 * * * [progress]: localizing error 0.062 * * * [progress]: generating rewritten candidates 0.063 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.066 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.075 * * * [progress]: generating series expansions 0.075 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.075 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.075 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.075 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.075 * [taylor]: Taking taylor expansion of N in N 0.075 * [taylor]: Taking taylor expansion of 1.0 in N 0.076 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.076 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.076 * [taylor]: Taking taylor expansion of N in N 0.076 * [taylor]: Taking taylor expansion of 1.0 in N 0.092 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.092 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.092 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.092 * [taylor]: Taking taylor expansion of N in N 0.092 * [taylor]: Taking taylor expansion of 1.0 in N 0.093 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.093 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.093 * [taylor]: Taking taylor expansion of N in N 0.093 * [taylor]: Taking taylor expansion of 1.0 in N 0.105 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.105 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.105 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.105 * [taylor]: Taking taylor expansion of 1.0 in N 0.105 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.105 * [taylor]: Taking taylor expansion of N in N 0.106 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.106 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.106 * [taylor]: Taking taylor expansion of 1.0 in N 0.106 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.106 * [taylor]: Taking taylor expansion of N in N 0.120 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.120 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.120 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.120 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.120 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.120 * [taylor]: Taking taylor expansion of N in N 0.120 * [taylor]: Taking taylor expansion of 1.0 in N 0.120 * [taylor]: Taking taylor expansion of (log N) in N 0.120 * [taylor]: Taking taylor expansion of N in N 0.121 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.121 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.121 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.121 * [taylor]: Taking taylor expansion of N in N 0.121 * [taylor]: Taking taylor expansion of 1.0 in N 0.121 * [taylor]: Taking taylor expansion of (log N) in N 0.121 * [taylor]: Taking taylor expansion of N in N 0.139 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.139 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.139 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.139 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.139 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.139 * [taylor]: Taking taylor expansion of N in N 0.139 * [taylor]: Taking taylor expansion of 1.0 in N 0.140 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.140 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.140 * [taylor]: Taking taylor expansion of N in N 0.140 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.140 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.140 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.140 * [taylor]: Taking taylor expansion of N in N 0.141 * [taylor]: Taking taylor expansion of 1.0 in N 0.141 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.141 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.141 * [taylor]: Taking taylor expansion of N in N 0.177 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.177 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.177 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.177 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.177 * [taylor]: Taking taylor expansion of 1.0 in N 0.177 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.177 * [taylor]: Taking taylor expansion of N in N 0.178 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.178 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.178 * [taylor]: Taking taylor expansion of -1 in N 0.178 * [taylor]: Taking taylor expansion of N in N 0.179 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.179 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.179 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.179 * [taylor]: Taking taylor expansion of 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 0.180 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.180 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.180 * [taylor]: Taking taylor expansion of -1 in N 0.180 * [taylor]: Taking taylor expansion of N in N 0.212 * * * [progress]: simplifying candidates 0.213 * [simplify]: Simplifying using # : (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.218 * * [simplify]: iteration 0 : 277 enodes (cost 598 ) 0.223 * * [simplify]: iteration 1 : 837 enodes (cost 444 ) 0.240 * * [simplify]: iteration 2 : 3748 enodes (cost 347 ) 0.334 * * [simplify]: iteration 3 : 5001 enodes (cost 345 ) 0.337 * [simplify]: Simplified to: (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (log (/ 1 N)) (log (/ 1 N)) (log (/ 1 N)) (log (/ 1 N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (fma (log (+ N 1.0)) (+ (log (+ N 1.0)) (log N)) (* (log N) (log N))) (log (/ 1 N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (log (/ 1 N)) (fma 1.0 N (- (log 1.0) (* 1/2 (/ (pow N 2) (pow 1.0 2))))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (log N)) (fma 1.0 (/ 1 N) (- (log -1) (fma 0.5 (/ 1 (pow N 2)) (log (/ -1 N))))) (fma 1.0 N (- (log 1.0) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N)))) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) 0.337 * * * [progress]: adding candidates to table 0.456 * * [progress]: iteration 2 / 4 0.456 * * * [progress]: picking best candidate 0.461 * * * * [pick]: Picked # 0.461 * * * [progress]: localizing error 0.466 * * * [progress]: generating rewritten candidates 0.466 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.470 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.477 * * * [progress]: generating series expansions 0.477 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.478 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 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 0.479 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.479 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.479 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.479 * [taylor]: Taking taylor expansion of N in N 0.479 * [taylor]: Taking taylor expansion of 1.0 in N 0.479 * [taylor]: Taking taylor expansion of N in N 0.493 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 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 0.495 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.495 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.495 * [taylor]: Taking taylor expansion of N in N 0.495 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.495 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.495 * [taylor]: Taking taylor expansion of N in N 0.495 * [taylor]: Taking taylor expansion of 1.0 in N 0.525 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.525 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.525 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.525 * [taylor]: Taking taylor expansion of -1 in N 0.525 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.525 * [taylor]: Taking taylor expansion of N in N 0.525 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.525 * [taylor]: Taking taylor expansion of 1.0 in N 0.525 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.525 * [taylor]: Taking taylor expansion of N in N 0.528 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.528 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.528 * [taylor]: Taking taylor expansion of -1 in N 0.528 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.528 * [taylor]: Taking taylor expansion of N in N 0.528 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.528 * [taylor]: Taking taylor expansion of 1.0 in N 0.528 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.528 * [taylor]: Taking taylor expansion of N in N 0.560 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.560 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 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 0.561 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.561 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.561 * [taylor]: Taking taylor expansion of N in N 0.561 * [taylor]: Taking taylor expansion of 1.0 in N 0.561 * [taylor]: Taking taylor expansion of N in N 0.567 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 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 0.568 * [taylor]: Taking taylor expansion of 1.0 in N 0.568 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.568 * [taylor]: Taking taylor expansion of N in N 0.568 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.568 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.568 * [taylor]: Taking taylor expansion of N in N 0.568 * [taylor]: Taking taylor expansion of 1.0 in N 0.587 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.587 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.587 * [taylor]: Taking taylor expansion of -1 in N 0.587 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.587 * [taylor]: Taking taylor expansion of N in N 0.587 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.587 * [taylor]: Taking taylor expansion of 1.0 in N 0.587 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.587 * [taylor]: Taking taylor expansion of N in N 0.587 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.588 * [taylor]: Taking taylor expansion of -1 in N 0.588 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.588 * [taylor]: Taking taylor expansion of N in N 0.588 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.588 * [taylor]: Taking taylor expansion of 1.0 in N 0.588 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.588 * [taylor]: Taking taylor expansion of N in N 0.610 * * * [progress]: simplifying candidates 0.611 * [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) 0.616 * * [simplify]: iteration 0 : 243 enodes (cost 383 ) 0.620 * * [simplify]: iteration 1 : 808 enodes (cost 358 ) 0.634 * * [simplify]: iteration 2 : 3663 enodes (cost 347 ) 0.712 * * [simplify]: iteration 3 : 5001 enodes (cost 344 ) 0.715 * [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) 0.716 * * * [progress]: adding candidates to table 0.811 * * [progress]: iteration 3 / 4 0.812 * * * [progress]: picking best candidate 0.821 * * * * [pick]: Picked # 0.821 * * * [progress]: localizing error 0.828 * * * [progress]: generating rewritten candidates 0.828 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.833 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.838 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.843 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.853 * * * [progress]: generating series expansions 0.853 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.853 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 0.853 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.853 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.853 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.853 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.853 * [taylor]: Taking taylor expansion of N in N 0.853 * [taylor]: Taking taylor expansion of 1.0 in N 0.853 * [taylor]: Taking taylor expansion of N in N 0.856 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.856 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.856 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.856 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.856 * [taylor]: Taking taylor expansion of N in N 0.856 * [taylor]: Taking taylor expansion of 1.0 in N 0.856 * [taylor]: Taking taylor expansion of N in N 0.875 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 0.875 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.875 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.875 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.875 * [taylor]: Taking taylor expansion of N in N 0.875 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.875 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.875 * [taylor]: Taking taylor expansion of N in N 0.876 * [taylor]: Taking taylor expansion of 1.0 in N 0.881 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.881 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.881 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.881 * [taylor]: Taking taylor expansion of N in N 0.881 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.881 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.881 * [taylor]: Taking taylor expansion of N in N 0.881 * [taylor]: Taking taylor expansion of 1.0 in N 0.924 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 0.924 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.924 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.924 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.924 * [taylor]: Taking taylor expansion of -1 in N 0.924 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.924 * [taylor]: Taking taylor expansion of N in N 0.924 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.924 * [taylor]: Taking taylor expansion of 1.0 in N 0.924 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.924 * [taylor]: Taking taylor expansion of N in N 0.932 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.932 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.932 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.932 * [taylor]: Taking taylor expansion of -1 in N 0.932 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.932 * [taylor]: Taking taylor expansion of N in N 0.932 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.933 * [taylor]: Taking taylor expansion of 1.0 in N 0.933 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.933 * [taylor]: Taking taylor expansion of N in N 0.974 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.974 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 0.974 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.974 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.974 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.974 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.974 * [taylor]: Taking taylor expansion of N in N 0.974 * [taylor]: Taking taylor expansion of 1.0 in N 0.974 * [taylor]: Taking taylor expansion of N in N 0.976 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.976 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.976 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.976 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.976 * [taylor]: Taking taylor expansion of N in N 0.976 * [taylor]: Taking taylor expansion of 1.0 in N 0.976 * [taylor]: Taking taylor expansion of N in N 1.002 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 1.002 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 1.002 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.002 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.002 * [taylor]: Taking taylor expansion of N in N 1.002 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.002 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.002 * [taylor]: Taking taylor expansion of N in N 1.002 * [taylor]: Taking taylor expansion of 1.0 in N 1.007 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 1.007 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.007 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.007 * [taylor]: Taking taylor expansion of N in N 1.007 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.007 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.007 * [taylor]: Taking taylor expansion of N in N 1.007 * [taylor]: Taking taylor expansion of 1.0 in N 1.044 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 1.044 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.044 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.044 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.044 * [taylor]: Taking taylor expansion of -1 in N 1.044 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.044 * [taylor]: Taking taylor expansion of N in N 1.044 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.044 * [taylor]: Taking taylor expansion of 1.0 in N 1.044 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.044 * [taylor]: Taking taylor expansion of N in N 1.052 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.052 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.052 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.052 * [taylor]: Taking taylor expansion of -1 in N 1.052 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.052 * [taylor]: Taking taylor expansion of N in N 1.052 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.052 * [taylor]: Taking taylor expansion of 1.0 in N 1.052 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.052 * [taylor]: Taking taylor expansion of N in N 1.099 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.100 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 1.100 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.100 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.100 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.100 * [taylor]: Taking taylor expansion of N in N 1.100 * [taylor]: Taking taylor expansion of 1.0 in N 1.100 * [taylor]: Taking taylor expansion of N in N 1.101 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.101 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.101 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.101 * [taylor]: Taking taylor expansion of N in N 1.101 * [taylor]: Taking taylor expansion of 1.0 in N 1.101 * [taylor]: Taking taylor expansion of N in N 1.109 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.109 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.109 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.109 * [taylor]: Taking taylor expansion of N in N 1.109 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.109 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.109 * [taylor]: Taking taylor expansion of N in N 1.109 * [taylor]: Taking taylor expansion of 1.0 in N 1.114 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.114 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.114 * [taylor]: Taking taylor expansion of N in N 1.114 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.114 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.114 * [taylor]: Taking taylor expansion of N in N 1.114 * [taylor]: Taking taylor expansion of 1.0 in N 1.122 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.122 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.122 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.122 * [taylor]: Taking taylor expansion of -1 in N 1.122 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.122 * [taylor]: Taking taylor expansion of N in N 1.122 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.122 * [taylor]: Taking taylor expansion of 1.0 in N 1.122 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.122 * [taylor]: Taking taylor expansion of N in N 1.130 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.130 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.130 * [taylor]: Taking taylor expansion of -1 in N 1.130 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.130 * [taylor]: Taking taylor expansion of N in N 1.130 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.130 * [taylor]: Taking taylor expansion of 1.0 in N 1.130 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.130 * [taylor]: Taking taylor expansion of N in N 1.149 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.149 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 1.149 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.149 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.149 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.149 * [taylor]: Taking taylor expansion of N in N 1.149 * [taylor]: Taking taylor expansion of 1.0 in N 1.149 * [taylor]: Taking taylor expansion of N in N 1.151 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.151 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.151 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.151 * [taylor]: Taking taylor expansion of N in N 1.151 * [taylor]: Taking taylor expansion of 1.0 in N 1.151 * [taylor]: Taking taylor expansion of N in N 1.158 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.158 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.158 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.158 * [taylor]: Taking taylor expansion of N in N 1.158 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.158 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.158 * [taylor]: Taking taylor expansion of N in N 1.158 * [taylor]: Taking taylor expansion of 1.0 in N 1.163 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.163 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.163 * [taylor]: Taking taylor expansion of N in N 1.163 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.163 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.163 * [taylor]: Taking taylor expansion of N in N 1.163 * [taylor]: Taking taylor expansion of 1.0 in N 1.171 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.171 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.172 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.172 * [taylor]: Taking taylor expansion of -1 in N 1.172 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.172 * [taylor]: Taking taylor expansion of N in N 1.172 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.172 * [taylor]: Taking taylor expansion of 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 1.179 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.179 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.179 * [taylor]: Taking taylor expansion of -1 in N 1.179 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.179 * [taylor]: Taking taylor expansion of N in N 1.180 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.180 * [taylor]: Taking taylor expansion of 1.0 in N 1.180 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.180 * [taylor]: Taking taylor expansion of N in N 1.191 * * * [progress]: simplifying candidates 1.193 * [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)))) 1.199 * * [simplify]: iteration 0 : 205 enodes (cost 1000 ) 1.203 * * [simplify]: iteration 1 : 482 enodes (cost 936 ) 1.212 * * [simplify]: iteration 2 : 1903 enodes (cost 904 ) 1.252 * * [simplify]: iteration 3 : 5001 enodes (cost 886 ) 1.257 * [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) 1.258 * * * [progress]: adding candidates to table 1.541 * * [progress]: iteration 4 / 4 1.541 * * * [progress]: picking best candidate 1.548 * * * * [pick]: Picked # 1.548 * * * [progress]: localizing error 1.563 * * * [progress]: generating rewritten candidates 1.563 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.570 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.576 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.582 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1) 1.592 * * * [progress]: generating series expansions 1.592 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.592 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in (N) around 0 1.592 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in N 1.592 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in N 1.593 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (+ N 1.0) N)))) in N 1.593 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (+ N 1.0) N))) in N 1.593 * [taylor]: Taking taylor expansion of 1/4 in N 1.593 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.593 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.593 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.593 * [taylor]: Taking taylor expansion of N in N 1.593 * [taylor]: Taking taylor expansion of 1.0 in N 1.593 * [taylor]: Taking taylor expansion of N in N 1.595 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in N 1.596 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in N 1.596 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (+ N 1.0) N)))) in N 1.596 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (+ N 1.0) N))) in N 1.596 * [taylor]: Taking taylor expansion of 1/4 in N 1.596 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.596 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.596 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.596 * [taylor]: Taking taylor expansion of N in N 1.596 * [taylor]: Taking taylor expansion of 1.0 in N 1.596 * [taylor]: Taking taylor expansion of N in N 1.625 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in (N) around 0 1.625 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in N 1.626 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in N 1.626 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* N (+ (/ 1 N) 1.0))))) in N 1.626 * [taylor]: Taking taylor expansion of (* 1/4 (log (* N (+ (/ 1 N) 1.0)))) in N 1.626 * [taylor]: Taking taylor expansion of 1/4 in N 1.626 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.626 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.626 * [taylor]: Taking taylor expansion of N in N 1.626 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.626 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.626 * [taylor]: Taking taylor expansion of N in N 1.626 * [taylor]: Taking taylor expansion of 1.0 in N 1.635 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in N 1.635 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in N 1.635 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* N (+ (/ 1 N) 1.0))))) in N 1.635 * [taylor]: Taking taylor expansion of (* 1/4 (log (* N (+ (/ 1 N) 1.0)))) in N 1.635 * [taylor]: Taking taylor expansion of 1/4 in N 1.635 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.635 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.635 * [taylor]: Taking taylor expansion of N in N 1.635 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.635 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.635 * [taylor]: Taking taylor expansion of N in N 1.635 * [taylor]: Taking taylor expansion of 1.0 in N 1.709 * [approximate]: Taking taylor expansion of (log (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N))))))) in (N) around 0 1.709 * [taylor]: Taking taylor expansion of (log (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N))))))) in N 1.709 * [taylor]: Taking taylor expansion of (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.709 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.709 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.709 * [taylor]: Taking taylor expansion of -1 in N 1.709 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.709 * [taylor]: Taking taylor expansion of N in N 1.709 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.709 * [taylor]: Taking taylor expansion of 1.0 in N 1.709 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.709 * [taylor]: Taking taylor expansion of N in N 1.718 * [taylor]: Taking taylor expansion of (log (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N))))))) in N 1.718 * [taylor]: Taking taylor expansion of (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.718 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.718 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.719 * [taylor]: Taking taylor expansion of -1 in N 1.719 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.719 * [taylor]: Taking taylor expansion of N in N 1.719 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.719 * [taylor]: Taking taylor expansion of 1.0 in N 1.719 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.719 * [taylor]: Taking taylor expansion of N in N 1.772 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.772 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in (N) around 0 1.772 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in N 1.772 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in N 1.772 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (+ N 1.0) N)))) in N 1.772 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (+ N 1.0) N))) in N 1.772 * [taylor]: Taking taylor expansion of 1/4 in N 1.772 * [taylor]: Taking taylor expansion of (log (/ (+ 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 1.774 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in N 1.774 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in N 1.774 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (+ N 1.0) N)))) in N 1.774 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (+ N 1.0) N))) in N 1.774 * [taylor]: Taking taylor expansion of 1/4 in N 1.774 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.774 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.774 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.774 * [taylor]: Taking taylor expansion of N in N 1.774 * [taylor]: Taking taylor expansion of 1.0 in N 1.774 * [taylor]: Taking taylor expansion of N in N 1.810 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in (N) around 0 1.810 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in N 1.810 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in N 1.810 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* N (+ (/ 1 N) 1.0))))) in N 1.810 * [taylor]: Taking taylor expansion of (* 1/4 (log (* N (+ (/ 1 N) 1.0)))) in N 1.810 * [taylor]: Taking taylor expansion of 1/4 in N 1.810 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.810 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.810 * [taylor]: Taking taylor expansion of N in N 1.810 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.810 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.810 * [taylor]: Taking taylor expansion of N in N 1.810 * [taylor]: Taking taylor expansion of 1.0 in N 1.819 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in N 1.819 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in N 1.819 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* N (+ (/ 1 N) 1.0))))) in N 1.819 * [taylor]: Taking taylor expansion of (* 1/4 (log (* N (+ (/ 1 N) 1.0)))) in N 1.819 * [taylor]: Taking taylor expansion of 1/4 in N 1.819 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.819 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.819 * [taylor]: Taking taylor expansion of N in N 1.819 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.819 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.819 * [taylor]: Taking taylor expansion of N in N 1.820 * [taylor]: Taking taylor expansion of 1.0 in N 1.893 * [approximate]: Taking taylor expansion of (log (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N))))))) in (N) around 0 1.893 * [taylor]: Taking taylor expansion of (log (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N))))))) in N 1.893 * [taylor]: Taking taylor expansion of (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.893 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.893 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.893 * [taylor]: Taking taylor expansion of -1 in N 1.893 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.893 * [taylor]: Taking taylor expansion of N in N 1.893 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.893 * [taylor]: Taking taylor expansion of 1.0 in N 1.894 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.894 * [taylor]: Taking taylor expansion of N in N 1.902 * [taylor]: Taking taylor expansion of (log (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N))))))) in N 1.902 * [taylor]: Taking taylor expansion of (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.902 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.902 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.902 * [taylor]: Taking taylor expansion of -1 in N 1.902 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.903 * [taylor]: Taking taylor expansion of N in N 1.903 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.903 * [taylor]: Taking taylor expansion of 1.0 in N 1.903 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.903 * [taylor]: Taking taylor expansion of N in N 1.949 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.949 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 1.949 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 1.949 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.949 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.949 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.949 * [taylor]: Taking taylor expansion of N in N 1.949 * [taylor]: Taking taylor expansion of 1.0 in N 1.949 * [taylor]: Taking taylor expansion of N in N 1.951 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 1.951 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.951 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.951 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.951 * [taylor]: Taking taylor expansion of N in N 1.951 * [taylor]: Taking taylor expansion of 1.0 in N 1.951 * [taylor]: Taking taylor expansion of N in N 1.977 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 1.977 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 1.977 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.977 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.977 * [taylor]: Taking taylor expansion of N in N 1.977 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.977 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.977 * [taylor]: Taking taylor expansion of N in N 1.977 * [taylor]: Taking taylor expansion of 1.0 in N 1.983 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 1.983 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.983 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.983 * [taylor]: Taking taylor expansion of N in N 1.983 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.983 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.983 * [taylor]: Taking taylor expansion of N in N 1.983 * [taylor]: Taking taylor expansion of 1.0 in N 2.019 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 2.019 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 2.019 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.019 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.019 * [taylor]: Taking taylor expansion of -1 in N 2.019 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.020 * [taylor]: Taking taylor expansion of N in N 2.020 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.020 * [taylor]: Taking taylor expansion of 1.0 in N 2.020 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.020 * [taylor]: Taking taylor expansion of N in N 2.027 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 2.027 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.028 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.028 * [taylor]: Taking taylor expansion of -1 in N 2.028 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.028 * [taylor]: Taking taylor expansion of N in N 2.028 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.028 * [taylor]: Taking taylor expansion of 1.0 in N 2.028 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.028 * [taylor]: Taking taylor expansion of N in N 2.076 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1) 2.076 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 2.076 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 2.076 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.076 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.076 * [taylor]: Taking taylor expansion of N in N 2.076 * [taylor]: Taking taylor expansion of 1.0 in N 2.076 * [taylor]: Taking taylor expansion of N in N 2.078 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 2.078 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.078 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.078 * [taylor]: Taking taylor expansion of N in N 2.078 * [taylor]: Taking taylor expansion of 1.0 in N 2.078 * [taylor]: Taking taylor expansion of N in N 2.085 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 2.085 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 2.085 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.086 * [taylor]: Taking taylor expansion of N in N 2.086 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.086 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.086 * [taylor]: Taking taylor expansion of N in N 2.086 * [taylor]: Taking taylor expansion of 1.0 in N 2.091 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 2.091 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.091 * [taylor]: Taking taylor expansion of N in N 2.091 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 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 2.091 * [taylor]: Taking taylor expansion of 1.0 in N 2.099 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 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 2.107 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.107 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.107 * [taylor]: Taking taylor expansion of -1 in N 2.107 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.107 * [taylor]: Taking taylor expansion of N in N 2.107 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.107 * [taylor]: Taking taylor expansion of 1.0 in N 2.107 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.107 * [taylor]: Taking taylor expansion of N in N 2.119 * * * [progress]: simplifying candidates 2.122 * [simplify]: Simplifying using # : (expm1 (log (sqrt (sqrt (/ (+ N 1.0) N))))) (log1p (log (sqrt (sqrt (/ (+ N 1.0) N))))) (log (* (cbrt (sqrt (sqrt (/ (+ N 1.0) N)))) (cbrt (sqrt (sqrt (/ (+ N 1.0) N)))))) (log (cbrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))))) (log (sqrt (cbrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))))) (log (sqrt (sqrt (cbrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (sqrt (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))))) (log (sqrt (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) N)))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) 1)))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) N)))) (log (sqrt (sqrt (/ 1 (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (+ N 1.0) (cbrt N))))) (log (sqrt (sqrt (/ 1 (sqrt N))))) (log (sqrt (sqrt (/ (+ N 1.0) (sqrt N))))) (log (sqrt (sqrt (/ 1 1)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ 1 (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (+ N 1.0) (cbrt N))))) (log (sqrt (sqrt (/ 1 (sqrt N))))) (log (sqrt (sqrt (/ (+ N 1.0) (sqrt N))))) (log (sqrt (sqrt (/ 1 1)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt 1))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (/ 1 N)))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt 1)) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log 1) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (sqrt (/ (+ N 1.0) N))))) (exp (log (sqrt (sqrt (/ (+ N 1.0) N))))) (* (cbrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (sqrt (/ (+ N 1.0) N)))))) (cbrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (* (* (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (/ (+ N 1.0) N))))) (sqrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (sqrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (expm1 (log (sqrt (sqrt (/ (+ N 1.0) N))))) (log1p (log (sqrt (sqrt (/ (+ N 1.0) N))))) (log (* (cbrt (sqrt (sqrt (/ (+ N 1.0) N)))) (cbrt (sqrt (sqrt (/ (+ N 1.0) N)))))) (log (cbrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))))) (log (sqrt (cbrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))))) (log (sqrt (sqrt (cbrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (sqrt (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))))) (log (sqrt (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) N)))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) 1)))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) N)))) (log (sqrt (sqrt (/ 1 (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (+ N 1.0) (cbrt N))))) (log (sqrt (sqrt (/ 1 (sqrt N))))) (log (sqrt (sqrt (/ (+ N 1.0) (sqrt N))))) (log (sqrt (sqrt (/ 1 1)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ 1 (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (+ N 1.0) (cbrt N))))) (log (sqrt (sqrt (/ 1 (sqrt N))))) (log (sqrt (sqrt (/ (+ N 1.0) (sqrt N))))) (log (sqrt (sqrt (/ 1 1)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt 1))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (/ 1 N)))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt 1)) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log 1) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (sqrt (/ (+ N 1.0) N))))) (exp (log (sqrt (sqrt (/ (+ N 1.0) N))))) (* (cbrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (sqrt (/ (+ N 1.0) N)))))) (cbrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (* (* (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (/ (+ N 1.0) N))))) (sqrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (sqrt (log (sqrt (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))) (- (+ (* 0.25 N) (* 1/4 (log 1.0))) (+ (* 1/8 (/ (pow N 2) (pow 1.0 2))) (* 1/4 (log N)))) (- (+ (* 0.08333333333333333 (/ 1 (pow N 3))) (* 0.25 (/ 1 N))) (* 0.125 (/ 1 (pow N 2)))) (- (+ (* 0.08333333333333333 (/ 1 (pow N 3))) (* 0.25 (/ 1 N))) (* 0.125 (/ 1 (pow N 2)))) (- (+ (* 0.25 N) (* 1/4 (log 1.0))) (+ (* 1/8 (/ (pow N 2) (pow 1.0 2))) (* 1/4 (log N)))) (- (+ (* 0.08333333333333333 (/ 1 (pow N 3))) (* 0.25 (/ 1 N))) (* 0.125 (/ 1 (pow N 2)))) (- (+ (* 0.08333333333333333 (/ 1 (pow N 3))) (* 0.25 (/ 1 N))) (* 0.125 (/ 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)))) 2.136 * * [simplify]: iteration 0 : 317 enodes (cost 1298 ) 2.140 * * [simplify]: iteration 1 : 700 enodes (cost 1226 ) 2.152 * * [simplify]: iteration 2 : 2524 enodes (cost 1180 ) 2.202 * * [simplify]: iteration 3 : 5002 enodes (cost 1167 ) 2.208 * [simplify]: Simplified to: (expm1 (log (sqrt (sqrt (/ (+ N 1.0) N))))) (log1p (log (sqrt (sqrt (/ (+ N 1.0) N))))) (* 2 (log (cbrt (sqrt (sqrt (/ (+ N 1.0) N)))))) (log (cbrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))))) (log (sqrt (cbrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))))) (log (sqrt (sqrt (cbrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (sqrt (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))))) (log (sqrt (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) N)))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) 1)))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) N)))) (log (sqrt (sqrt (/ 1 (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (+ N 1.0) (cbrt N))))) (log (sqrt (sqrt (/ 1 (sqrt N))))) (log (sqrt (sqrt (/ (+ N 1.0) (sqrt N))))) 0 (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ 1 (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (+ N 1.0) (cbrt N))))) (log (sqrt (sqrt (/ 1 (sqrt N))))) (log (sqrt (sqrt (/ (+ N 1.0) (sqrt N))))) 0 (log (sqrt (sqrt (/ (+ N 1.0) N)))) 0 (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (/ 1 N)))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) 0 (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) 0 (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (sqrt (/ (+ N 1.0) N))))) (sqrt (sqrt (/ (+ N 1.0) N))) (* (cbrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (sqrt (/ (+ N 1.0) N)))))) (cbrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (pow (log (sqrt (sqrt (/ (+ N 1.0) N)))) 3) (sqrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (sqrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (expm1 (log (sqrt (sqrt (/ (+ N 1.0) N))))) (log1p (log (sqrt (sqrt (/ (+ N 1.0) N))))) (* 2 (log (cbrt (sqrt (sqrt (/ (+ N 1.0) N)))))) (log (cbrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))))) (log (sqrt (cbrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))))) (log (sqrt (sqrt (cbrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (sqrt (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))))) (log (sqrt (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) N)))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) 1)))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) N)))) (log (sqrt (sqrt (/ 1 (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (+ N 1.0) (cbrt N))))) (log (sqrt (sqrt (/ 1 (sqrt N))))) (log (sqrt (sqrt (/ (+ N 1.0) (sqrt N))))) 0 (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ 1 (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (+ N 1.0) (cbrt N))))) (log (sqrt (sqrt (/ 1 (sqrt N))))) (log (sqrt (sqrt (/ (+ N 1.0) (sqrt N))))) 0 (log (sqrt (sqrt (/ (+ N 1.0) N)))) 0 (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (/ 1 N)))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) 0 (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) 0 (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (sqrt (/ (+ N 1.0) N))))) (sqrt (sqrt (/ (+ N 1.0) N))) (* (cbrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (sqrt (/ (+ N 1.0) N)))))) (cbrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (pow (log (sqrt (sqrt (/ (+ N 1.0) N)))) 3) (sqrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (sqrt (log (sqrt (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)))) (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))) (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 N 0.25 (- (* 1/4 (log 1.0)) (fma 1/8 (/ (pow N 2) (pow 1.0 2)) (* 1/4 (log N))))) (fma (/ 1 N) (- 0.25 (/ 0.125 N)) (/ 0.08333333333333333 (pow N 3))) (fma (/ 1 N) (- 0.25 (/ 0.125 N)) (/ 0.08333333333333333 (pow N 3))) (fma N 0.25 (- (* 1/4 (log 1.0)) (fma 1/8 (/ (pow N 2) (pow 1.0 2)) (* 1/4 (log N))))) (fma (/ 1 N) (- 0.25 (/ 0.125 N)) (/ 0.08333333333333333 (pow N 3))) (fma (/ 1 N) (- 0.25 (/ 0.125 N)) (/ 0.08333333333333333 (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) 2.210 * * * [progress]: adding candidates to table 2.607 * [progress]: [Phase 3 of 3] Extracting. 2.607 * * [regime]: Finding splitpoints for: (# # #) 2.607 * * * [regime-changes]: Trying 1 branch expressions: (N) 2.607 * * * * [regimes]: Trying to branch on N from (# # #) 2.629 * * * [regime]: Found split indices: #