5.835 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.042 * * * [progress]: [2/2] Setting up program. 0.043 * [progress]: [Phase 2 of 3] Improving. 0.044 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.045 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.045 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.046 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.047 * * [simplify]: iteration done : 10 enodes (cost 7 ) 0.047 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.047 * * [progress]: iteration 1 / 4 0.047 * * * [progress]: picking best candidate 0.051 * * * * [pick]: Picked # 0.052 * * * [progress]: localizing error 0.058 * * * [progress]: generating rewritten candidates 0.058 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.061 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.070 * * * [progress]: generating series expansions 0.070 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.070 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.070 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.070 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.070 * [taylor]: Taking taylor expansion of N in N 0.070 * [taylor]: Taking taylor expansion of 1.0 in N 0.071 * [taylor]: Taking taylor expansion of (log (+ N 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 0.084 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.084 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.084 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.084 * [taylor]: Taking taylor expansion of N in N 0.084 * [taylor]: Taking taylor expansion of 1.0 in N 0.085 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.085 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.085 * [taylor]: Taking taylor expansion of N in N 0.085 * [taylor]: Taking taylor expansion of 1.0 in N 0.097 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.097 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.097 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.097 * [taylor]: Taking taylor expansion of 1.0 in N 0.097 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.097 * [taylor]: Taking taylor expansion of N in N 0.098 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.098 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.098 * [taylor]: Taking taylor expansion of 1.0 in N 0.098 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.098 * [taylor]: Taking taylor expansion of N in N 0.112 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.112 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.112 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.112 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.112 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.112 * [taylor]: Taking taylor expansion of N in N 0.112 * [taylor]: Taking taylor expansion of 1.0 in N 0.113 * [taylor]: Taking taylor expansion of (log N) in N 0.113 * [taylor]: Taking taylor expansion of N in N 0.113 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.113 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.113 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.113 * [taylor]: Taking taylor expansion of N in N 0.113 * [taylor]: Taking taylor expansion of 1.0 in N 0.114 * [taylor]: Taking taylor expansion of (log N) in N 0.114 * [taylor]: Taking taylor expansion of N in N 0.135 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.135 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.135 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.135 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.135 * [taylor]: Taking taylor expansion of N in N 0.135 * [taylor]: Taking taylor expansion of 1.0 in N 0.136 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.136 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.136 * [taylor]: Taking taylor expansion of N in N 0.136 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.136 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.136 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.136 * [taylor]: Taking taylor expansion of N in N 0.137 * [taylor]: Taking taylor expansion of 1.0 in N 0.137 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.137 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.137 * [taylor]: Taking taylor expansion of N in N 0.167 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.167 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.167 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.167 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.167 * [taylor]: Taking taylor expansion of 1.0 in N 0.167 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.167 * [taylor]: Taking taylor expansion of N in N 0.168 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.168 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.168 * [taylor]: Taking taylor expansion of -1 in N 0.168 * [taylor]: Taking taylor expansion of N in N 0.169 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.169 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.169 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.169 * [taylor]: Taking taylor expansion of 1.0 in N 0.169 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.169 * [taylor]: Taking taylor expansion of N in N 0.170 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.170 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.170 * [taylor]: Taking taylor expansion of -1 in N 0.170 * [taylor]: Taking taylor expansion of N in N 0.203 * * * [progress]: simplifying candidates 0.204 * [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)))) 0.211 * * [simplify]: iteration 0 : 127 enodes (cost 1052 ) 0.231 * * [simplify]: iteration 1 : 273 enodes (cost 855 ) 0.318 * * [simplify]: iteration 2 : 710 enodes (cost 705 ) 0.602 * * [simplify]: iteration 3 : 2289 enodes (cost 614 ) 1.340 * * [simplify]: iteration done : 5000 enodes (cost 614 ) 1.340 * [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 (fma N N (* 1.0 (- 1.0 N)))) (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 N)) 0 (- (pow (cbrt (log (+ N 1.0))) 3) (log N)) 0 (- (pow (cbrt (log (+ N 1.0))) 3) (log N)) 0 (- (pow (cbrt (log (+ N 1.0))) 3) (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 (- (log (+ N 1.0)) (log N)) 0 (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))) (/ (+ 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) (log N) (* (log (+ N 1.0)) (+ (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log N) (log (+ N 1.0))) (+ (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) (log (fma N N (* 1.0 (- 1.0 N))))) (+ (log (- N 1.0)) (log N)) (- (log N)) (fma -1/2 (/ (pow N 2) (pow 1.0 2)) (fma 1.0 N (log 1.0))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (log N))) (- (+ (/ 1.0 N) (- (log -1) (/ 0.5 (* N N)))) (log (/ -1 N))) (- (fma 1.0 N (log 1.0)) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) 1.341 * * * [progress]: adding candidates to table 1.464 * * [progress]: iteration 2 / 4 1.464 * * * [progress]: picking best candidate 1.469 * * * * [pick]: Picked # 1.469 * * * [progress]: localizing error 1.474 * * * [progress]: generating rewritten candidates 1.474 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.477 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.489 * * * [progress]: generating series expansions 1.490 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.490 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.490 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.490 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.490 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.490 * [taylor]: Taking taylor expansion of N in N 1.490 * [taylor]: Taking taylor expansion of 1.0 in N 1.490 * [taylor]: Taking taylor expansion of N in N 1.491 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.491 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.491 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.491 * [taylor]: Taking taylor expansion of N in N 1.491 * [taylor]: Taking taylor expansion of 1.0 in N 1.491 * [taylor]: Taking taylor expansion of N in N 1.504 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.504 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.504 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.505 * [taylor]: Taking taylor expansion of N in N 1.505 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.505 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.505 * [taylor]: Taking taylor expansion of N in N 1.505 * [taylor]: Taking taylor expansion of 1.0 in N 1.507 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.507 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.507 * [taylor]: Taking taylor expansion of N in N 1.507 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.507 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.507 * [taylor]: Taking taylor expansion of N in N 1.507 * [taylor]: Taking taylor expansion of 1.0 in N 1.533 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.533 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.533 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.533 * [taylor]: Taking taylor expansion of -1 in N 1.533 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.533 * [taylor]: Taking taylor expansion of N in N 1.533 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.533 * [taylor]: Taking taylor expansion of 1.0 in N 1.533 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.533 * [taylor]: Taking taylor expansion of N in N 1.537 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.537 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.537 * [taylor]: Taking taylor expansion of -1 in N 1.537 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.537 * [taylor]: Taking taylor expansion of N in N 1.537 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.537 * [taylor]: Taking taylor expansion of 1.0 in N 1.537 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.537 * [taylor]: Taking taylor expansion of N in N 1.573 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.573 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 1.573 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.573 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.573 * [taylor]: Taking taylor expansion of N in N 1.573 * [taylor]: Taking taylor expansion of 1.0 in N 1.573 * [taylor]: Taking taylor expansion of N in N 1.573 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.573 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.573 * [taylor]: Taking taylor expansion of N in N 1.573 * [taylor]: Taking taylor expansion of 1.0 in N 1.573 * [taylor]: Taking taylor expansion of N in N 1.580 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 1.580 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.580 * [taylor]: Taking taylor expansion of N in N 1.580 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.580 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.580 * [taylor]: Taking taylor expansion of N in N 1.581 * [taylor]: Taking taylor expansion of 1.0 in N 1.581 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.581 * [taylor]: Taking taylor expansion of N in N 1.581 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.581 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.581 * [taylor]: Taking taylor expansion of N in N 1.581 * [taylor]: Taking taylor expansion of 1.0 in N 1.595 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 1.595 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.595 * [taylor]: Taking taylor expansion of -1 in N 1.595 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.595 * [taylor]: Taking taylor expansion of N in N 1.595 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.595 * [taylor]: Taking taylor expansion of 1.0 in N 1.595 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.595 * [taylor]: Taking taylor expansion of N in N 1.595 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.595 * [taylor]: Taking taylor expansion of -1 in N 1.595 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.595 * [taylor]: Taking taylor expansion of N in N 1.595 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.595 * [taylor]: Taking taylor expansion of 1.0 in N 1.595 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.595 * [taylor]: Taking taylor expansion of N in N 1.618 * * * [progress]: simplifying candidates 1.620 * [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) 1.623 * * [simplify]: iteration 0 : 112 enodes (cost 749 ) 1.646 * * [simplify]: iteration 1 : 240 enodes (cost 708 ) 1.706 * * [simplify]: iteration 2 : 618 enodes (cost 660 ) 1.998 * * [simplify]: iteration 3 : 1864 enodes (cost 647 ) 2.625 * * [simplify]: iteration done : 5000 enodes (cost 647 ) 2.626 * [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))) (- (* 2 (log (cbrt (+ N 1.0)))) (log (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)) (- (* 2 (log (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (- (* 2 (log (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (- (log (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 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)) (+ 1.0 N) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (fma N N (* 1.0 (- 1.0 N)))) (* N (- N 1.0)) (- (fma 1.0 N (log 1.0)) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) 2.626 * * * [progress]: adding candidates to table 2.744 * * [progress]: iteration 3 / 4 2.744 * * * [progress]: picking best candidate 2.751 * * * * [pick]: Picked # 2.751 * * * [progress]: localizing error 2.761 * * * [progress]: generating rewritten candidates 2.761 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.785 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 2.798 * * * [progress]: generating series expansions 2.798 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.799 * [approximate]: Taking taylor expansion of (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) in (N) around 0 2.799 * [taylor]: Taking taylor expansion of (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) in N 2.799 * [taylor]: Taking taylor expansion of (log (* (sqrt (/ 1 N)) (+ N 1.0))) in N 2.799 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 2.799 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 2.799 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.799 * [taylor]: Taking taylor expansion of N in N 2.800 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.801 * [taylor]: Taking taylor expansion of N in N 2.801 * [taylor]: Taking taylor expansion of 1.0 in N 2.803 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 2.803 * [taylor]: Taking taylor expansion of (sqrt N) in N 2.803 * [taylor]: Taking taylor expansion of N in N 2.804 * [taylor]: Taking taylor expansion of (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) in N 2.804 * [taylor]: Taking taylor expansion of (log (* (sqrt (/ 1 N)) (+ N 1.0))) in N 2.804 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 2.804 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 2.804 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.804 * [taylor]: Taking taylor expansion of N in N 2.806 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.806 * [taylor]: Taking taylor expansion of N in N 2.806 * [taylor]: Taking taylor expansion of 1.0 in N 2.808 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 2.808 * [taylor]: Taking taylor expansion of (sqrt N) in N 2.808 * [taylor]: Taking taylor expansion of N in N 2.861 * [approximate]: Taking taylor expansion of (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) in (N) around 0 2.861 * [taylor]: Taking taylor expansion of (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) in N 2.861 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (+ (/ 1 N) 1.0))) in N 2.861 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 2.861 * [taylor]: Taking taylor expansion of (sqrt N) in N 2.861 * [taylor]: Taking taylor expansion of N in N 2.862 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.862 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.862 * [taylor]: Taking taylor expansion of N in N 2.862 * [taylor]: Taking taylor expansion of 1.0 in N 2.865 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 2.865 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 2.865 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.865 * [taylor]: Taking taylor expansion of N in N 2.866 * [taylor]: Taking taylor expansion of (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) in N 2.866 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (+ (/ 1 N) 1.0))) in N 2.866 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 2.866 * [taylor]: Taking taylor expansion of (sqrt N) in N 2.866 * [taylor]: Taking taylor expansion of N in N 2.867 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.867 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.867 * [taylor]: Taking taylor expansion of N in N 2.868 * [taylor]: Taking taylor expansion of 1.0 in N 2.870 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 2.870 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 2.870 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.870 * [taylor]: Taking taylor expansion of N in N 2.920 * [approximate]: Taking taylor expansion of (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) in (N) around 0 2.920 * [taylor]: Taking taylor expansion of (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) in N 2.920 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) in N 2.920 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 2.920 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.920 * [taylor]: Taking taylor expansion of 1.0 in N 2.920 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.920 * [taylor]: Taking taylor expansion of N in N 2.920 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.920 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.920 * [taylor]: Taking taylor expansion of -1 in N 2.920 * [taylor]: Taking taylor expansion of N in N 2.922 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 2.923 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.923 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.923 * [taylor]: Taking taylor expansion of -1 in N 2.923 * [taylor]: Taking taylor expansion of N in N 2.924 * [taylor]: Taking taylor expansion of (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) in N 2.924 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) in N 2.924 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 2.924 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.924 * [taylor]: Taking taylor expansion of 1.0 in N 2.924 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.924 * [taylor]: Taking taylor expansion of N in N 2.925 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.925 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.925 * [taylor]: Taking taylor expansion of -1 in N 2.925 * [taylor]: Taking taylor expansion of N in N 2.927 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 2.927 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.927 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.927 * [taylor]: Taking taylor expansion of -1 in N 2.927 * [taylor]: Taking taylor expansion of N in N 2.980 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 2.981 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in (N) around 0 2.981 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 2.981 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 2.981 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.981 * [taylor]: Taking taylor expansion of N in N 2.982 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.982 * [taylor]: Taking taylor expansion of N in N 2.982 * [taylor]: Taking taylor expansion of 1.0 in N 2.982 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 2.982 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 2.982 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.982 * [taylor]: Taking taylor expansion of N in N 2.984 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.984 * [taylor]: Taking taylor expansion of N in N 2.984 * [taylor]: Taking taylor expansion of 1.0 in N 2.997 * [approximate]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in (N) around 0 2.997 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 2.997 * [taylor]: Taking taylor expansion of (sqrt N) in N 2.997 * [taylor]: Taking taylor expansion of N in N 2.998 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.998 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.998 * [taylor]: Taking taylor expansion of N in N 2.998 * [taylor]: Taking taylor expansion of 1.0 in N 2.998 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 2.998 * [taylor]: Taking taylor expansion of (sqrt N) in N 2.998 * [taylor]: Taking taylor expansion of N in N 2.999 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.999 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.999 * [taylor]: Taking taylor expansion of N in N 3.000 * [taylor]: Taking taylor expansion of 1.0 in N 3.014 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in (N) around 0 3.014 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 3.014 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.014 * [taylor]: Taking taylor expansion of 1.0 in N 3.014 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.014 * [taylor]: Taking taylor expansion of N in N 3.014 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 3.014 * [taylor]: Taking taylor expansion of (/ -1 N) in N 3.014 * [taylor]: Taking taylor expansion of -1 in N 3.014 * [taylor]: Taking taylor expansion of N in N 3.016 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 3.016 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.016 * [taylor]: Taking taylor expansion of 1.0 in N 3.016 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.016 * [taylor]: Taking taylor expansion of N in N 3.017 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 3.017 * [taylor]: Taking taylor expansion of (/ -1 N) in N 3.017 * [taylor]: Taking taylor expansion of -1 in N 3.017 * [taylor]: Taking taylor expansion of N in N 3.036 * * * [progress]: simplifying candidates 3.038 * [simplify]: Simplifying using # : (expm1 (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (log1p (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (* (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N))) (* (exp (- (log (sqrt N)))) (/ (+ N 1.0) (sqrt N))) (log (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (exp (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (* (cbrt (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (cbrt (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))))) (cbrt (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (* (* (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (sqrt (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (sqrt (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (+ (pow (- (log (sqrt N))) 3) (pow (log (/ (+ N 1.0) (sqrt N))) 3)) (+ (* (- (log (sqrt N))) (- (log (sqrt N)))) (- (* (log (/ (+ N 1.0) (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (* (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))))) (- (* (- (log (sqrt N))) (- (log (sqrt N)))) (* (log (/ (+ N 1.0) (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (- (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))))) (+ (- (log (sqrt N))) (log (sqrt (/ (+ N 1.0) (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (* (cbrt N) (cbrt N)))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt 1)))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ N 1.0)) (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt (* (cbrt N) (cbrt N)))))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt 1)))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1))) (+ (- (log (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt (* (cbrt N) (cbrt N)))))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt 1)))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ 1 1))) (+ (- (log (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt (* (cbrt N) (cbrt N)))))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt 1)))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ 1 1))) (+ (- (log (sqrt N))) (log 1)) (+ (- (log (sqrt N))) (log (+ N 1.0))) (+ (- (log (cbrt (sqrt N)))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt (cbrt N)))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt (sqrt N)))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt (sqrt N)))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (+ N 1.0))) (- (log (sqrt N)) (log (/ (+ N 1.0) (sqrt N)))) (expm1 (/ (+ N 1.0) (sqrt N))) (log1p (/ (+ N 1.0) (sqrt N))) (- (log (+ N 1.0)) (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (exp (/ (+ N 1.0) (sqrt N))) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* (sqrt N) (sqrt N)) (sqrt N))) (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N))) (* (* (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) (sqrt N))) (/ (+ N 1.0) (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (- (+ N 1.0)) (- (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (cbrt (+ N 1.0)) (cbrt (sqrt N))) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (* (cbrt N) (cbrt N)))) (/ (cbrt (+ N 1.0)) (sqrt (cbrt N))) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (sqrt N))) (/ (cbrt (+ N 1.0)) (sqrt (sqrt N))) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt 1)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (sqrt N))) (/ (cbrt (+ N 1.0)) (sqrt (sqrt N))) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (sqrt (+ N 1.0)) (cbrt (sqrt N))) (/ (sqrt (+ N 1.0)) (sqrt (* (cbrt N) (cbrt N)))) (/ (sqrt (+ N 1.0)) (sqrt (cbrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (/ (sqrt (+ N 1.0)) (sqrt 1)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (+ N 1.0) (cbrt (sqrt N))) (/ 1 (sqrt (* (cbrt N) (cbrt N)))) (/ (+ N 1.0) (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) (/ 1 (sqrt 1)) (/ (+ N 1.0) (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) (/ 1 1) (/ (+ N 1.0) (sqrt N)) (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (+ N 1.0) (cbrt (sqrt N))) (/ 1 (sqrt (* (cbrt N) (cbrt N)))) (/ (+ N 1.0) (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) (/ 1 (sqrt 1)) (/ (+ N 1.0) (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) (/ 1 1) (/ (+ N 1.0) (sqrt N)) (/ 1 (sqrt N)) (/ (sqrt N) (+ N 1.0)) (/ (+ N 1.0) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (+ N 1.0) (sqrt (* (cbrt N) (cbrt N)))) (/ (+ N 1.0) (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt 1)) (/ (+ N 1.0) (sqrt (sqrt N))) (/ (+ N 1.0) 1) (/ (sqrt N) (cbrt (+ N 1.0))) (/ (sqrt N) (sqrt (+ N 1.0))) (/ (sqrt N) (+ N 1.0)) (/ (sqrt N) (+ N 1.0)) (* (sqrt N) (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* (sqrt N) (- N 1.0)) (- (log (- +nan.0)) (+ (* +nan.0 (pow N 2)) (- (+ (log +nan.0) (log N)) (* +nan.0 N)))) (- (log (- +nan.0)) (+ (* +nan.0 (/ 1 (pow N 2))) (- (log +nan.0) (* +nan.0 (/ 1 N))))) (- (+ (* +nan.0 (/ 1 N)) (- (log (/ -1 N)) (* +nan.0 (/ 1 (pow N 2)))))) (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 N) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 N) (- +nan.0))))) 3.043 * * [simplify]: iteration 0 : 185 enodes (cost 1533 ) 3.078 * * [simplify]: iteration 1 : 431 enodes (cost 1415 ) 3.185 * * [simplify]: iteration 2 : 1127 enodes (cost 1291 ) 3.804 * * [simplify]: iteration 3 : 3699 enodes (cost 1226 ) 4.814 * * [simplify]: iteration done : 5000 enodes (cost 1224 ) 4.815 * [simplify]: Simplified to: (expm1 (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (log1p (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (/ (+ 1.0 N) N) (/ (+ 1.0 N) N) (log (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (/ (+ 1.0 N) N) (* (cbrt (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (cbrt (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))))) (cbrt (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (pow (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) 3) (sqrt (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (sqrt (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (- (pow (log (/ (+ N 1.0) (sqrt N))) 3) (pow (log (sqrt N)) 3)) (fma (log (sqrt N)) (log (sqrt N)) (* (log (/ (+ N 1.0) (sqrt N))) (log (+ N 1.0)))) (* (- (log (sqrt N)) (log (/ (+ N 1.0) (sqrt N)))) (log (+ N 1.0))) (- (log (+ N 1.0))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (- (* 2 (log (cbrt (/ (+ N 1.0) (sqrt N))))) (log (sqrt N))) (- (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt N))) (- (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt (sqrt N))))) (log (sqrt N))) (- (* 2 (log (cbrt (+ N 1.0)))) (+ (log (sqrt N)) (log (fabs (cbrt N))))) (- (* 2 (log (cbrt (+ N 1.0)))) (+ (log (sqrt (sqrt N))) (log (sqrt N)))) (- (* 2 (log (cbrt (+ N 1.0)))) (log (sqrt N))) (- (* 2 (log (cbrt (+ N 1.0)))) (+ (log (sqrt (sqrt N))) (log (sqrt N)))) (- (* 2 (log (cbrt (+ N 1.0)))) (log (sqrt N))) (- (log (sqrt (+ N 1.0))) (+ (* 2 (log (cbrt (sqrt N)))) (log (sqrt N)))) (- (log (/ (sqrt (+ 1.0 N)) (fabs (cbrt N)))) (log (sqrt N))) (- (log (/ (sqrt (+ N 1.0)) (sqrt (sqrt N)))) (log (sqrt N))) (- (log (sqrt (+ N 1.0))) (log (sqrt N))) (- (log (/ (sqrt (+ N 1.0)) (sqrt (sqrt N)))) (log (sqrt N))) (- (log (sqrt (+ N 1.0))) (log (sqrt N))) (- (- (log (sqrt N))) (* 2 (log (cbrt (sqrt N))))) (- (- (log (fabs (cbrt N)))) (log (sqrt N))) (- (- (log (sqrt N))) (log (sqrt (sqrt N)))) (- (log (sqrt N))) (- (- (log (sqrt N))) (log (sqrt (sqrt N)))) (- (log (sqrt N))) (- (- (log (sqrt N))) (* 2 (log (cbrt (sqrt N))))) (- (- (log (fabs (cbrt N)))) (log (sqrt N))) (- (- (log (sqrt N))) (log (sqrt (sqrt N)))) (- (log (sqrt N))) (- (- (log (sqrt N))) (log (sqrt (sqrt N)))) (- (log (sqrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (- (log (/ (+ N 1.0) (sqrt N))) (log (cbrt (sqrt N)))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt (cbrt N)))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt (sqrt N)))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt (sqrt N)))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (- (log (sqrt N)) (log (/ (+ N 1.0) (sqrt N)))) (expm1 (/ (+ N 1.0) (sqrt N))) (log1p (/ (+ N 1.0) (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (exp (/ (+ N 1.0) (sqrt N))) (pow (/ (+ N 1.0) (sqrt N)) 3) (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N))) (pow (/ (+ N 1.0) (sqrt N)) 3) (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (- (+ N 1.0)) (- (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (cbrt (+ N 1.0)) (cbrt (sqrt N))) (/ (cbrt (+ N 1.0)) (/ (fabs (cbrt N)) (cbrt (+ N 1.0)))) (/ (cbrt (+ N 1.0)) (sqrt (cbrt N))) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (sqrt N))) (/ (cbrt (+ N 1.0)) (sqrt (sqrt N))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (sqrt N))) (/ (cbrt (+ N 1.0)) (sqrt (sqrt N))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (sqrt (+ N 1.0)) (cbrt (sqrt N))) (/ (sqrt (+ 1.0 N)) (fabs (cbrt N))) (/ (sqrt (+ N 1.0)) (sqrt (cbrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (sqrt (+ 1.0 N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (sqrt (+ 1.0 N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (+ N 1.0) (cbrt (sqrt N))) (/ 1 (fabs (cbrt N))) (/ (+ N 1.0) (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) 1 (/ (+ N 1.0) (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) 1 (/ (+ N 1.0) (sqrt N)) (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (+ N 1.0) (cbrt (sqrt N))) (/ 1 (fabs (cbrt N))) (/ (+ N 1.0) (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) 1 (/ (+ N 1.0) (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) 1 (/ (+ N 1.0) (sqrt N)) (/ 1 (sqrt N)) (/ (sqrt N) (+ 1.0 N)) (/ (+ N 1.0) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (+ 1.0 N) (fabs (cbrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) (+ 1.0 N) (/ (+ N 1.0) (sqrt (sqrt N))) (+ 1.0 N) (/ (sqrt N) (cbrt (+ N 1.0))) (/ (sqrt N) (sqrt (+ N 1.0))) (/ (sqrt N) (+ 1.0 N)) (/ (sqrt N) (+ 1.0 N)) (* (sqrt N) (fma N N (* 1.0 (- 1.0 N)))) (* (sqrt N) (- N 1.0)) (- (- (log (- +nan.0)) (log +nan.0)) (+ (log N) (* N (fma +nan.0 N (- +nan.0))))) (- (log (- +nan.0)) (- (log +nan.0) (- (/ +nan.0 N) (/ +nan.0 (* N N))))) (- (- (/ +nan.0 (* N N)) (/ +nan.0 N)) (log (/ -1 N))) (- (* N (fma +nan.0 (- N) +nan.0)) +nan.0) (- (- (/ +nan.0 (* N N)) +nan.0) (/ +nan.0 N)) (- (fma +nan.0 N (- +nan.0)) (/ +nan.0 N)) 4.816 * * * [progress]: adding candidates to table 5.076 * * [progress]: iteration 4 / 4 5.076 * * * [progress]: picking best candidate 5.081 * * * * [pick]: Picked # 5.081 * * * [progress]: localizing error 5.090 * * * [progress]: generating rewritten candidates 5.090 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 5.093 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 5.097 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 5.100 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 5.104 * * * [progress]: generating series expansions 5.104 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 5.104 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 5.104 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 5.104 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 5.104 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.104 * [taylor]: Taking taylor expansion of N in N 5.104 * [taylor]: Taking taylor expansion of 1.0 in N 5.104 * [taylor]: Taking taylor expansion of N in N 5.105 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 5.105 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 5.105 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.105 * [taylor]: Taking taylor expansion of N in N 5.105 * [taylor]: Taking taylor expansion of 1.0 in N 5.105 * [taylor]: Taking taylor expansion of N in N 5.119 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 5.119 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 5.119 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 5.119 * [taylor]: Taking taylor expansion of N in N 5.119 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.119 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.119 * [taylor]: Taking taylor expansion of N in N 5.119 * [taylor]: Taking taylor expansion of 1.0 in N 5.121 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 5.121 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 5.121 * [taylor]: Taking taylor expansion of N in N 5.121 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.121 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.121 * [taylor]: Taking taylor expansion of N in N 5.121 * [taylor]: Taking taylor expansion of 1.0 in N 5.148 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 5.148 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 5.148 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 5.148 * [taylor]: Taking taylor expansion of -1 in N 5.148 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 5.148 * [taylor]: Taking taylor expansion of N in N 5.148 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.148 * [taylor]: Taking taylor expansion of 1.0 in N 5.148 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.148 * [taylor]: Taking taylor expansion of N in N 5.151 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 5.151 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 5.151 * [taylor]: Taking taylor expansion of -1 in N 5.151 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 5.151 * [taylor]: Taking taylor expansion of N in N 5.151 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.151 * [taylor]: Taking taylor expansion of 1.0 in N 5.151 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.151 * [taylor]: Taking taylor expansion of N in N 5.189 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 5.189 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 5.190 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 5.190 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 5.190 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.190 * [taylor]: Taking taylor expansion of N in N 5.190 * [taylor]: Taking taylor expansion of 1.0 in N 5.190 * [taylor]: Taking taylor expansion of N in N 5.190 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 5.190 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 5.190 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.190 * [taylor]: Taking taylor expansion of N in N 5.191 * [taylor]: Taking taylor expansion of 1.0 in N 5.191 * [taylor]: Taking taylor expansion of N in N 5.204 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 5.204 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 5.204 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 5.204 * [taylor]: Taking taylor expansion of N in N 5.204 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.204 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.204 * [taylor]: Taking taylor expansion of N in N 5.204 * [taylor]: Taking taylor expansion of 1.0 in N 5.206 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 5.206 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 5.206 * [taylor]: Taking taylor expansion of N in N 5.206 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.206 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.206 * [taylor]: Taking taylor expansion of N in N 5.206 * [taylor]: Taking taylor expansion of 1.0 in N 5.238 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 5.238 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 5.238 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 5.238 * [taylor]: Taking taylor expansion of -1 in N 5.238 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 5.238 * [taylor]: Taking taylor expansion of N in N 5.238 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.238 * [taylor]: Taking taylor expansion of 1.0 in N 5.238 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.238 * [taylor]: Taking taylor expansion of N in N 5.242 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 5.242 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 5.242 * [taylor]: Taking taylor expansion of -1 in N 5.242 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 5.242 * [taylor]: Taking taylor expansion of N in N 5.242 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.242 * [taylor]: Taking taylor expansion of 1.0 in N 5.242 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.242 * [taylor]: Taking taylor expansion of N in N 5.275 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 5.275 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 5.275 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 5.275 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 5.275 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.275 * [taylor]: Taking taylor expansion of N in N 5.275 * [taylor]: Taking taylor expansion of 1.0 in N 5.275 * [taylor]: Taking taylor expansion of N in N 5.276 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 5.276 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 5.276 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.276 * [taylor]: Taking taylor expansion of N in N 5.276 * [taylor]: Taking taylor expansion of 1.0 in N 5.276 * [taylor]: Taking taylor expansion of N in N 5.289 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 5.289 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 5.289 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 5.289 * [taylor]: Taking taylor expansion of N in N 5.289 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.289 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.289 * [taylor]: Taking taylor expansion of N in N 5.290 * [taylor]: Taking taylor expansion of 1.0 in N 5.291 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 5.292 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 5.292 * [taylor]: Taking taylor expansion of N in N 5.292 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.292 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.292 * [taylor]: Taking taylor expansion of N in N 5.292 * [taylor]: Taking taylor expansion of 1.0 in N 5.325 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 5.325 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 5.325 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 5.325 * [taylor]: Taking taylor expansion of -1 in N 5.325 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 5.325 * [taylor]: Taking taylor expansion of N in N 5.325 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.325 * [taylor]: Taking taylor expansion of 1.0 in N 5.325 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.325 * [taylor]: Taking taylor expansion of N in N 5.328 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 5.328 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 5.328 * [taylor]: Taking taylor expansion of -1 in N 5.328 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 5.328 * [taylor]: Taking taylor expansion of N in N 5.328 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.328 * [taylor]: Taking taylor expansion of 1.0 in N 5.328 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.328 * [taylor]: Taking taylor expansion of N in N 5.361 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 5.362 * [approximate]: Taking taylor expansion of (pow (log (/ (+ N 1.0) N)) 1/3) in (N) around 0 5.362 * [taylor]: Taking taylor expansion of (pow (log (/ (+ N 1.0) N)) 1/3) in N 5.362 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (/ (+ N 1.0) N))))) in N 5.362 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (/ (+ N 1.0) N)))) in N 5.362 * [taylor]: Taking taylor expansion of 1/3 in N 5.362 * [taylor]: Taking taylor expansion of (log (log (/ (+ N 1.0) N))) in N 5.362 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 5.362 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 5.362 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.362 * [taylor]: Taking taylor expansion of N in N 5.362 * [taylor]: Taking taylor expansion of 1.0 in N 5.362 * [taylor]: Taking taylor expansion of N in N 5.365 * [taylor]: Taking taylor expansion of (pow (log (/ (+ N 1.0) N)) 1/3) in N 5.365 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (/ (+ N 1.0) N))))) in N 5.365 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (/ (+ N 1.0) N)))) in N 5.365 * [taylor]: Taking taylor expansion of 1/3 in N 5.365 * [taylor]: Taking taylor expansion of (log (log (/ (+ N 1.0) N))) in N 5.365 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 5.365 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 5.365 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.365 * [taylor]: Taking taylor expansion of N in N 5.365 * [taylor]: Taking taylor expansion of 1.0 in N 5.365 * [taylor]: Taking taylor expansion of N in N 5.394 * [approximate]: Taking taylor expansion of (pow (log (* N (+ (/ 1 N) 1.0))) 1/3) in (N) around 0 5.394 * [taylor]: Taking taylor expansion of (pow (log (* N (+ (/ 1 N) 1.0))) 1/3) in N 5.394 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (* N (+ (/ 1 N) 1.0)))))) in N 5.394 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (* N (+ (/ 1 N) 1.0))))) in N 5.394 * [taylor]: Taking taylor expansion of 1/3 in N 5.394 * [taylor]: Taking taylor expansion of (log (log (* N (+ (/ 1 N) 1.0)))) in N 5.394 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 5.394 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 5.394 * [taylor]: Taking taylor expansion of N in N 5.394 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.394 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.394 * [taylor]: Taking taylor expansion of N in N 5.394 * [taylor]: Taking taylor expansion of 1.0 in N 5.410 * [taylor]: Taking taylor expansion of (pow (log (* N (+ (/ 1 N) 1.0))) 1/3) in N 5.410 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (* N (+ (/ 1 N) 1.0)))))) in N 5.410 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (* N (+ (/ 1 N) 1.0))))) in N 5.410 * [taylor]: Taking taylor expansion of 1/3 in N 5.410 * [taylor]: Taking taylor expansion of (log (log (* N (+ (/ 1 N) 1.0)))) in N 5.410 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 5.410 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 5.410 * [taylor]: Taking taylor expansion of N in N 5.410 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.410 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.410 * [taylor]: Taking taylor expansion of N in N 5.410 * [taylor]: Taking taylor expansion of 1.0 in N 5.470 * [approximate]: Taking taylor expansion of (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 1/3) in (N) around 0 5.470 * [taylor]: Taking taylor expansion of (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 1/3) in N 5.470 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (* -1 (* N (- 1.0 (/ 1 N)))))))) in N 5.470 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (* -1 (* N (- 1.0 (/ 1 N))))))) in N 5.470 * [taylor]: Taking taylor expansion of 1/3 in N 5.470 * [taylor]: Taking taylor expansion of (log (log (* -1 (* N (- 1.0 (/ 1 N)))))) in N 5.470 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 5.470 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 5.470 * [taylor]: Taking taylor expansion of -1 in N 5.470 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 5.470 * [taylor]: Taking taylor expansion of N in N 5.470 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.470 * [taylor]: Taking taylor expansion of 1.0 in N 5.470 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.470 * [taylor]: Taking taylor expansion of N in N 5.482 * [taylor]: Taking taylor expansion of (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 1/3) in N 5.482 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (* -1 (* N (- 1.0 (/ 1 N)))))))) in N 5.482 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (* -1 (* N (- 1.0 (/ 1 N))))))) in N 5.482 * [taylor]: Taking taylor expansion of 1/3 in N 5.482 * [taylor]: Taking taylor expansion of (log (log (* -1 (* N (- 1.0 (/ 1 N)))))) in N 5.483 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 5.483 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 5.483 * [taylor]: Taking taylor expansion of -1 in N 5.483 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 5.483 * [taylor]: Taking taylor expansion of N in N 5.483 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.483 * [taylor]: Taking taylor expansion of 1.0 in N 5.483 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.483 * [taylor]: Taking taylor expansion of N in N 5.556 * * * [progress]: simplifying candidates 5.557 * [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 (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 (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 (cbrt (log (/ (+ N 1.0) N)))) (log1p (cbrt (log (/ (+ N 1.0) N)))) (log (cbrt (log (/ (+ N 1.0) N)))) (exp (cbrt (log (/ (+ N 1.0) N)))) (cbrt 1) (cbrt (log (/ (+ N 1.0) N))) (cbrt (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))) (cbrt (cbrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt 1) (cbrt (log (/ (+ N 1.0) N))) (* (cbrt (cbrt (log (/ (+ N 1.0) N)))) (cbrt (cbrt (log (/ (+ N 1.0) N))))) (cbrt (cbrt (log (/ (+ N 1.0) N)))) (* (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N)))) (sqrt (cbrt (log (/ (+ N 1.0) N)))) (sqrt (cbrt (log (/ (+ N 1.0) N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (pow (- (log 1.0) (log N)) 1/3) (* 0.3333333333333333 (* N (pow (/ 1 (pow (- (log 1.0) (log N)) 2)) 1/3)))) (+ (* 1/6 (* (/ (pow N 2) (pow 1.0 2)) (pow (/ 1 (pow (- (log 1.0) (log N)) 2)) 1/3))) (* 0.1111111111111111 (* (pow N 2) (pow (/ 1 (pow (- (log 1.0) (log N)) 5)) 1/3))))) (- (+ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (* 0.125 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (pow N 2)))) (+ (* 0.041666666666666664 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (* (pow N 2) (pow 1.0 2)))) (* 0.16666666666666666 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) N)))) (- (+ (exp (* 1/3 (+ (log -1.0) (log (/ -1 N))))) (* 0.125 (/ (exp (* 1/3 (+ (log -1.0) (log (/ -1 N))))) (pow N 2)))) (+ (* 0.16666666666666666 (/ (exp (* 1/3 (+ (log -1.0) (log (/ -1 N))))) N)) (* 0.041666666666666664 (/ (exp (* 1/3 (+ (log -1.0) (log (/ -1 N))))) (* (pow N 2) (pow -1.0 2)))))) 5.563 * * [simplify]: iteration 0 : 153 enodes (cost 1528 ) 5.596 * * [simplify]: iteration 1 : 344 enodes (cost 1445 ) 5.672 * * [simplify]: iteration 2 : 938 enodes (cost 1347 ) 6.113 * * [simplify]: iteration 3 : 3582 enodes (cost 1262 ) 6.816 * * [simplify]: iteration done : 5000 enodes (cost 1262 ) 6.822 * [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))) (- (* 2 (log (cbrt (+ N 1.0)))) (log (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)) (- (* 2 (log (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (- (* 2 (log (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (- (log (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 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 (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))) (- (* 2 (log (cbrt (+ N 1.0)))) (log (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)) (- (* 2 (log (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (- (* 2 (log (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (- (log (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 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 (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))) (- (* 2 (log (cbrt (+ N 1.0)))) (log (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)) (- (* 2 (log (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (- (* 2 (log (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (- (log (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 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 (cbrt (log (/ (+ N 1.0) N)))) (log1p (cbrt (log (/ (+ N 1.0) N)))) (log (cbrt (log (/ (+ N 1.0) N)))) (exp (cbrt (log (/ (+ N 1.0) N)))) 1 (cbrt (log (/ (+ N 1.0) N))) (cbrt (* (cbrt (log (/ (+ N 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(pow N 2)))) (- (* (cbrt (/ 1 (pow (- (log 1.0) (log N)) 2))) (- (* 0.3333333333333333 N) (* 1/6 (/ (pow N 2) (pow 1.0 2))))) (- (* (* 0.1111111111111111 (pow N 2)) (cbrt (/ 1 (pow (- (log 1.0) (log N)) 5)))) (cbrt (- (log 1.0) (log N))))) (- (* (/ (cbrt (/ (exp (log 1.0)) N)) (pow N 2)) (- 0.125 (/ 0.041666666666666664 (pow 1.0 2)))) (- (* (/ (cbrt (/ (exp (log 1.0)) N)) N) 0.16666666666666666) (cbrt (/ (exp (log 1.0)) N)))) (fma (pow -1.0 1/3) (pow (/ -1 N) 1/3) (- (* (/ (cbrt (exp (+ (log -1.0) (log (/ -1 N))))) (pow N 2)) (- 0.125 (/ 0.041666666666666664 (pow -1.0 2)))) (* (/ (cbrt (exp (+ (log -1.0) (log (/ -1 N))))) N) 0.16666666666666666))) 6.823 * * * [progress]: adding candidates to table 7.094 * [progress]: [Phase 3 of 3] Extracting. 7.094 * * [regime]: Finding splitpoints for: (# # # # #) 7.096 * * * [regime-changes]: Trying 1 branch expressions: (N) 7.096 * * * * [regimes]: Trying to branch on N from (# # # # #) 7.124 * * * [regime]: Found split indices: #