5.044 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.041 * * * [progress]: [2/2] Setting up program. 0.043 * [progress]: [Phase 2 of 3] Improving. 0.043 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.046 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.047 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.048 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.048 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.048 * * [progress]: iteration 1 / 4 0.049 * * * [progress]: picking best candidate 0.050 * * * * [pick]: Picked # 0.050 * * * [progress]: localizing error 0.057 * * * [progress]: generating rewritten candidates 0.057 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.060 * * * * [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 0.086 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.086 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.086 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.086 * [taylor]: Taking taylor expansion of N in N 0.086 * [taylor]: Taking taylor expansion of 1.0 in N 0.087 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.087 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.087 * [taylor]: Taking taylor expansion of N in N 0.087 * [taylor]: Taking taylor expansion of 1.0 in N 0.099 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.099 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.099 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.099 * [taylor]: Taking taylor expansion of 1.0 in N 0.099 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.099 * [taylor]: Taking taylor expansion of N in N 0.100 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.100 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.100 * [taylor]: Taking taylor expansion of 1.0 in N 0.100 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.100 * [taylor]: Taking taylor expansion of N in N 0.114 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.114 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.114 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.114 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.114 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.114 * [taylor]: Taking taylor expansion of N in N 0.114 * [taylor]: Taking taylor expansion of 1.0 in N 0.115 * [taylor]: Taking taylor expansion of (log N) in N 0.115 * [taylor]: Taking taylor expansion of N in N 0.115 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.115 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.115 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.115 * [taylor]: Taking taylor expansion of N in N 0.115 * [taylor]: Taking taylor expansion of 1.0 in N 0.116 * [taylor]: Taking taylor expansion of (log N) in N 0.116 * [taylor]: Taking taylor expansion of N in N 0.133 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.133 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.133 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.133 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.133 * [taylor]: Taking taylor expansion of N in N 0.134 * [taylor]: Taking taylor expansion of 1.0 in N 0.134 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.134 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.134 * [taylor]: Taking taylor expansion of N in N 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 0.135 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.135 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.135 * [taylor]: Taking taylor expansion of N in N 0.168 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.168 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.168 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.168 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.168 * [taylor]: Taking taylor expansion of 1.0 in N 0.168 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.168 * [taylor]: Taking taylor expansion of N in N 0.169 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.169 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.169 * [taylor]: Taking taylor expansion of -1 in N 0.169 * [taylor]: Taking taylor expansion of N in N 0.170 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.170 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.170 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.170 * [taylor]: Taking taylor expansion of 1.0 in N 0.170 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.170 * [taylor]: Taking taylor expansion of N in N 0.171 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.171 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.171 * [taylor]: Taking taylor expansion of -1 in N 0.171 * [taylor]: Taking taylor expansion of N in N 0.204 * * * [progress]: simplifying candidates 0.205 * [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)))) 0.209 * * [simplify]: iteration 0 : 277 enodes (cost 598 ) 0.214 * * [simplify]: iteration 1 : 837 enodes (cost 444 ) 0.231 * * [simplify]: iteration 2 : 3748 enodes (cost 347 ) 0.324 * * [simplify]: iteration 3 : 5001 enodes (cost 345 ) 0.326 * [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)) 0.326 * * * [progress]: adding candidates to table 0.452 * * [progress]: iteration 2 / 4 0.452 * * * [progress]: picking best candidate 0.456 * * * * [pick]: Picked # 0.456 * * * [progress]: localizing error 0.466 * * * [progress]: generating rewritten candidates 0.466 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.471 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.474 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.475 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.478 * * * [progress]: generating series expansions 0.478 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.478 * [approximate]: Taking taylor expansion of (- (expm1 (log1p (log (+ N 1.0)))) (log N)) in (N) around 0 0.478 * [taylor]: Taking taylor expansion of (- (expm1 (log1p (log (+ N 1.0)))) (log N)) in N 0.478 * [taylor]: Taking taylor expansion of (expm1 (log1p (log (+ N 1.0)))) in N 0.478 * [taylor]: Rewrote expression to (- (exp (log1p (log (+ N 1.0)))) 1) 0.478 * [taylor]: Taking taylor expansion of (exp (log1p (log (+ N 1.0)))) in N 0.478 * [taylor]: Taking taylor expansion of (log1p (log (+ N 1.0))) in N 0.478 * [taylor]: Rewrote expression to (log (+ 1 (log (+ N 1.0)))) 0.478 * [taylor]: Taking taylor expansion of (+ 1 (log (+ N 1.0))) in N 0.478 * [taylor]: Taking taylor expansion of 1 in N 0.478 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) 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 0.482 * [taylor]: Taking taylor expansion of 1 in N 0.482 * [taylor]: Taking taylor expansion of (log N) in N 0.482 * [taylor]: Taking taylor expansion of N in N 0.482 * [taylor]: Taking taylor expansion of (- (expm1 (log1p (log (+ N 1.0)))) (log N)) in N 0.483 * [taylor]: Taking taylor expansion of (expm1 (log1p (log (+ N 1.0)))) in N 0.483 * [taylor]: Rewrote expression to (- (exp (log1p (log (+ N 1.0)))) 1) 0.483 * [taylor]: Taking taylor expansion of (exp (log1p (log (+ N 1.0)))) in N 0.483 * [taylor]: Taking taylor expansion of (log1p (log (+ N 1.0))) in N 0.483 * [taylor]: Rewrote expression to (log (+ 1 (log (+ N 1.0)))) 0.483 * [taylor]: Taking taylor expansion of (+ 1 (log (+ N 1.0))) in N 0.483 * [taylor]: Taking taylor expansion of 1 in N 0.483 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.483 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.483 * [taylor]: Taking taylor expansion of N in N 0.483 * [taylor]: Taking taylor expansion of 1.0 in N 0.486 * [taylor]: Taking taylor expansion of 1 in N 0.486 * [taylor]: Taking taylor expansion of (log N) in N 0.486 * [taylor]: Taking taylor expansion of N in N 0.554 * [approximate]: Taking taylor expansion of (- (expm1 (log1p (log (+ (/ 1 N) 1.0)))) (log (/ 1 N))) in (N) around 0 0.554 * [taylor]: Taking taylor expansion of (- (expm1 (log1p (log (+ (/ 1 N) 1.0)))) (log (/ 1 N))) in N 0.554 * [taylor]: Taking taylor expansion of (expm1 (log1p (log (+ (/ 1 N) 1.0)))) in N 0.554 * [taylor]: Rewrote expression to (- (exp (log1p (log (+ (/ 1 N) 1.0)))) 1) 0.554 * [taylor]: Taking taylor expansion of (exp (log1p (log (+ (/ 1 N) 1.0)))) in N 0.554 * [taylor]: Taking taylor expansion of (log1p (log (+ (/ 1 N) 1.0))) in N 0.554 * [taylor]: Rewrote expression to (log (+ 1 (log (+ (/ 1 N) 1.0)))) 0.554 * [taylor]: Taking taylor expansion of (+ 1 (log (+ (/ 1 N) 1.0))) in N 0.554 * [taylor]: Taking taylor expansion of 1 in N 0.554 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.554 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.554 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.554 * [taylor]: Taking taylor expansion of N in N 0.554 * [taylor]: Taking taylor expansion of 1.0 in N 0.555 * [taylor]: Taking taylor expansion of 1 in N 0.555 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.555 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.555 * [taylor]: Taking taylor expansion of N in N 0.556 * [taylor]: Taking taylor expansion of (- (expm1 (log1p (log (+ (/ 1 N) 1.0)))) (log (/ 1 N))) in N 0.556 * [taylor]: Taking taylor expansion of (expm1 (log1p (log (+ (/ 1 N) 1.0)))) in N 0.556 * [taylor]: Rewrote expression to (- (exp (log1p (log (+ (/ 1 N) 1.0)))) 1) 0.556 * [taylor]: Taking taylor expansion of (exp (log1p (log (+ (/ 1 N) 1.0)))) in N 0.556 * [taylor]: Taking taylor expansion of (log1p (log (+ (/ 1 N) 1.0))) in N 0.556 * [taylor]: Rewrote expression to (log (+ 1 (log (+ (/ 1 N) 1.0)))) 0.556 * [taylor]: Taking taylor expansion of (+ 1 (log (+ (/ 1 N) 1.0))) in N 0.556 * [taylor]: Taking taylor expansion of 1 in N 0.556 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.556 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.556 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.556 * [taylor]: Taking taylor expansion of N in N 0.556 * [taylor]: Taking taylor expansion of 1.0 in N 0.557 * [taylor]: Taking taylor expansion of 1 in N 0.557 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.557 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.557 * [taylor]: Taking taylor expansion of N in N 0.601 * [approximate]: Taking taylor expansion of (- (expm1 (log1p (log (- 1.0 (/ 1 N))))) (log (/ -1 N))) in (N) around 0 0.602 * [taylor]: Taking taylor expansion of (- (expm1 (log1p (log (- 1.0 (/ 1 N))))) (log (/ -1 N))) in N 0.602 * [taylor]: Taking taylor expansion of (expm1 (log1p (log (- 1.0 (/ 1 N))))) in N 0.602 * [taylor]: Rewrote expression to (- (exp (log1p (log (- 1.0 (/ 1 N))))) 1) 0.602 * [taylor]: Taking taylor expansion of (exp (log1p (log (- 1.0 (/ 1 N))))) in N 0.602 * [taylor]: Taking taylor expansion of (log1p (log (- 1.0 (/ 1 N)))) in N 0.602 * [taylor]: Rewrote expression to (log (+ 1 (log (- 1.0 (/ 1 N))))) 0.602 * [taylor]: Taking taylor expansion of (+ 1 (log (- 1.0 (/ 1 N)))) in N 0.602 * [taylor]: Taking taylor expansion of 1 in N 0.602 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.602 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.602 * [taylor]: Taking taylor expansion of 1.0 in N 0.602 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.602 * [taylor]: Taking taylor expansion of N in N 0.608 * [taylor]: Taking taylor expansion of 1 in N 0.608 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.608 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.608 * [taylor]: Taking taylor expansion of -1 in N 0.608 * [taylor]: Taking taylor expansion of N in N 0.608 * [taylor]: Taking taylor expansion of (- (expm1 (log1p (log (- 1.0 (/ 1 N))))) (log (/ -1 N))) in N 0.608 * [taylor]: Taking taylor expansion of (expm1 (log1p (log (- 1.0 (/ 1 N))))) in N 0.608 * [taylor]: Rewrote expression to (- (exp (log1p (log (- 1.0 (/ 1 N))))) 1) 0.608 * [taylor]: Taking taylor expansion of (exp (log1p (log (- 1.0 (/ 1 N))))) in N 0.608 * [taylor]: Taking taylor expansion of (log1p (log (- 1.0 (/ 1 N)))) in N 0.608 * [taylor]: Rewrote expression to (log (+ 1 (log (- 1.0 (/ 1 N))))) 0.608 * [taylor]: Taking taylor expansion of (+ 1 (log (- 1.0 (/ 1 N)))) in N 0.608 * [taylor]: Taking taylor expansion of 1 in N 0.608 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.608 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.609 * [taylor]: Taking taylor expansion of 1.0 in N 0.609 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.609 * [taylor]: Taking taylor expansion of N in N 0.611 * [taylor]: Taking taylor expansion of 1 in N 0.611 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.612 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.612 * [taylor]: Taking taylor expansion of -1 in N 0.612 * [taylor]: Taking taylor expansion of N in N 0.692 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.692 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.692 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.692 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.692 * [taylor]: Taking taylor expansion of N in N 0.692 * [taylor]: Taking taylor expansion of 1.0 in N 0.693 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.693 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.693 * [taylor]: Taking taylor expansion of N in N 0.693 * [taylor]: Taking taylor expansion of 1.0 in N 0.704 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.704 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.704 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.704 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.704 * [taylor]: Taking taylor expansion of N in N 0.704 * [taylor]: Taking taylor expansion of 1.0 in N 0.705 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.705 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.705 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.705 * [taylor]: Taking taylor expansion of N in N 0.705 * [taylor]: Taking taylor expansion of 1.0 in N 0.717 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.717 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.717 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.717 * [taylor]: Taking taylor expansion of 1.0 in N 0.717 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.717 * [taylor]: Taking taylor expansion of N in N 0.718 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.718 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.718 * [taylor]: Taking taylor expansion of 1.0 in N 0.718 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.718 * [taylor]: Taking taylor expansion of N in N 0.732 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.732 * [approximate]: Taking taylor expansion of (expm1 (log1p (log (+ N 1.0)))) in (N) around 0 0.732 * [taylor]: Taking taylor expansion of (expm1 (log1p (log (+ N 1.0)))) in N 0.732 * [taylor]: Rewrote expression to (- (exp (log1p (log (+ N 1.0)))) 1) 0.732 * [taylor]: Taking taylor expansion of (exp (log1p (log (+ N 1.0)))) in N 0.732 * [taylor]: Taking taylor expansion of (log1p (log (+ N 1.0))) in N 0.732 * [taylor]: Rewrote expression to (log (+ 1 (log (+ N 1.0)))) 0.732 * [taylor]: Taking taylor expansion of (+ 1 (log (+ N 1.0))) in N 0.732 * [taylor]: Taking taylor expansion of 1 in N 0.732 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.732 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.732 * [taylor]: Taking taylor expansion of N in N 0.732 * [taylor]: Taking taylor expansion of 1.0 in N 0.736 * [taylor]: Taking taylor expansion of 1 in N 0.736 * [taylor]: Taking taylor expansion of (expm1 (log1p (log (+ N 1.0)))) in N 0.736 * [taylor]: Rewrote expression to (- (exp (log1p (log (+ N 1.0)))) 1) 0.736 * [taylor]: Taking taylor expansion of (exp (log1p (log (+ N 1.0)))) in N 0.736 * [taylor]: Taking taylor expansion of (log1p (log (+ N 1.0))) in N 0.736 * [taylor]: Rewrote expression to (log (+ 1 (log (+ N 1.0)))) 0.736 * [taylor]: Taking taylor expansion of (+ 1 (log (+ N 1.0))) in N 0.736 * [taylor]: Taking taylor expansion of 1 in N 0.736 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.736 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.736 * [taylor]: Taking taylor expansion of N in N 0.736 * [taylor]: Taking taylor expansion of 1.0 in N 0.740 * [taylor]: Taking taylor expansion of 1 in N 0.802 * [approximate]: Taking taylor expansion of (expm1 (log1p (log (+ (/ 1 N) 1.0)))) in (N) around 0 0.802 * [taylor]: Taking taylor expansion of (expm1 (log1p (log (+ (/ 1 N) 1.0)))) in N 0.802 * [taylor]: Rewrote expression to (- (exp (log1p (log (+ (/ 1 N) 1.0)))) 1) 0.802 * [taylor]: Taking taylor expansion of (exp (log1p (log (+ (/ 1 N) 1.0)))) in N 0.802 * [taylor]: Taking taylor expansion of (log1p (log (+ (/ 1 N) 1.0))) in N 0.802 * [taylor]: Rewrote expression to (log (+ 1 (log (+ (/ 1 N) 1.0)))) 0.802 * [taylor]: Taking taylor expansion of (+ 1 (log (+ (/ 1 N) 1.0))) in N 0.802 * [taylor]: Taking taylor expansion of 1 in N 0.802 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.802 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.802 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.802 * [taylor]: Taking taylor expansion of N in N 0.803 * [taylor]: Taking taylor expansion of 1.0 in N 0.804 * [taylor]: Taking taylor expansion of 1 in N 0.804 * [taylor]: Taking taylor expansion of (expm1 (log1p (log (+ (/ 1 N) 1.0)))) in N 0.804 * [taylor]: Rewrote expression to (- (exp (log1p (log (+ (/ 1 N) 1.0)))) 1) 0.804 * [taylor]: Taking taylor expansion of (exp (log1p (log (+ (/ 1 N) 1.0)))) in N 0.804 * [taylor]: Taking taylor expansion of (log1p (log (+ (/ 1 N) 1.0))) in N 0.804 * [taylor]: Rewrote expression to (log (+ 1 (log (+ (/ 1 N) 1.0)))) 0.804 * [taylor]: Taking taylor expansion of (+ 1 (log (+ (/ 1 N) 1.0))) in N 0.804 * [taylor]: Taking taylor expansion of 1 in N 0.804 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.804 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.804 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.804 * [taylor]: Taking taylor expansion of N in N 0.804 * [taylor]: Taking taylor expansion of 1.0 in N 0.805 * [taylor]: Taking taylor expansion of 1 in N 0.823 * [approximate]: Taking taylor expansion of (expm1 (log1p (log (- 1.0 (/ 1 N))))) in (N) around 0 0.823 * [taylor]: Taking taylor expansion of (expm1 (log1p (log (- 1.0 (/ 1 N))))) in N 0.823 * [taylor]: Rewrote expression to (- (exp (log1p (log (- 1.0 (/ 1 N))))) 1) 0.823 * [taylor]: Taking taylor expansion of (exp (log1p (log (- 1.0 (/ 1 N))))) in N 0.823 * [taylor]: Taking taylor expansion of (log1p (log (- 1.0 (/ 1 N)))) in N 0.823 * [taylor]: Rewrote expression to (log (+ 1 (log (- 1.0 (/ 1 N))))) 0.823 * [taylor]: Taking taylor expansion of (+ 1 (log (- 1.0 (/ 1 N)))) in N 0.823 * [taylor]: Taking taylor expansion of 1 in N 0.823 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.823 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.823 * [taylor]: Taking taylor expansion of 1.0 in N 0.823 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.823 * [taylor]: Taking taylor expansion of N in N 0.826 * [taylor]: Taking taylor expansion of 1 in N 0.826 * [taylor]: Taking taylor expansion of (expm1 (log1p (log (- 1.0 (/ 1 N))))) in N 0.827 * [taylor]: Rewrote expression to (- (exp (log1p (log (- 1.0 (/ 1 N))))) 1) 0.827 * [taylor]: Taking taylor expansion of (exp (log1p (log (- 1.0 (/ 1 N))))) in N 0.827 * [taylor]: Taking taylor expansion of (log1p (log (- 1.0 (/ 1 N)))) in N 0.827 * [taylor]: Rewrote expression to (log (+ 1 (log (- 1.0 (/ 1 N))))) 0.827 * [taylor]: Taking taylor expansion of (+ 1 (log (- 1.0 (/ 1 N)))) in N 0.827 * [taylor]: Taking taylor expansion of 1 in N 0.827 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.827 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.827 * [taylor]: Taking taylor expansion of 1.0 in N 0.827 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.827 * [taylor]: Taking taylor expansion of N in N 0.830 * [taylor]: Taking taylor expansion of 1 in N 0.859 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.859 * [approximate]: Taking taylor expansion of (log1p (log (+ N 1.0))) in (N) around 0 0.859 * [taylor]: Taking taylor expansion of (log1p (log (+ N 1.0))) in N 0.859 * [taylor]: Rewrote expression to (log (+ 1 (log (+ N 1.0)))) 0.859 * [taylor]: Taking taylor expansion of (+ 1 (log (+ N 1.0))) in N 0.859 * [taylor]: Taking taylor expansion of 1 in N 0.859 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.859 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.859 * [taylor]: Taking taylor expansion of N in N 0.859 * [taylor]: Taking taylor expansion of 1.0 in N 0.861 * [taylor]: Taking taylor expansion of (log1p (log (+ N 1.0))) in N 0.861 * [taylor]: Rewrote expression to (log (+ 1 (log (+ N 1.0)))) 0.861 * [taylor]: Taking taylor expansion of (+ 1 (log (+ N 1.0))) in N 0.861 * [taylor]: Taking taylor expansion of 1 in N 0.861 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.861 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.861 * [taylor]: Taking taylor expansion of N in N 0.861 * [taylor]: Taking taylor expansion of 1.0 in N 0.908 * [approximate]: Taking taylor expansion of (log1p (log (+ (/ 1 N) 1.0))) in (N) around 0 0.908 * [taylor]: Taking taylor expansion of (log1p (log (+ (/ 1 N) 1.0))) in N 0.908 * [taylor]: Rewrote expression to (log (+ 1 (log (+ (/ 1 N) 1.0)))) 0.908 * [taylor]: Taking taylor expansion of (+ 1 (log (+ (/ 1 N) 1.0))) in N 0.908 * [taylor]: Taking taylor expansion of 1 in N 0.908 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.908 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.908 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.908 * [taylor]: Taking taylor expansion of N in N 0.909 * [taylor]: Taking taylor expansion of 1.0 in N 0.909 * [taylor]: Taking taylor expansion of (log1p (log (+ (/ 1 N) 1.0))) in N 0.909 * [taylor]: Rewrote expression to (log (+ 1 (log (+ (/ 1 N) 1.0)))) 0.910 * [taylor]: Taking taylor expansion of (+ 1 (log (+ (/ 1 N) 1.0))) in N 0.910 * [taylor]: Taking taylor expansion of 1 in N 0.910 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.910 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.910 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.910 * [taylor]: Taking taylor expansion of N in N 0.910 * [taylor]: Taking taylor expansion of 1.0 in N 0.927 * [approximate]: Taking taylor expansion of (log1p (log (- 1.0 (/ 1 N)))) in (N) around 0 0.927 * [taylor]: Taking taylor expansion of (log1p (log (- 1.0 (/ 1 N)))) in N 0.927 * [taylor]: Rewrote expression to (log (+ 1 (log (- 1.0 (/ 1 N))))) 0.927 * [taylor]: Taking taylor expansion of (+ 1 (log (- 1.0 (/ 1 N)))) in N 0.927 * [taylor]: Taking taylor expansion of 1 in N 0.927 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.927 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.927 * [taylor]: Taking taylor expansion of 1.0 in N 0.927 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.927 * [taylor]: Taking taylor expansion of N in N 0.929 * [taylor]: Taking taylor expansion of (log1p (log (- 1.0 (/ 1 N)))) in N 0.929 * [taylor]: Rewrote expression to (log (+ 1 (log (- 1.0 (/ 1 N))))) 0.929 * [taylor]: Taking taylor expansion of (+ 1 (log (- 1.0 (/ 1 N)))) in N 0.929 * [taylor]: Taking taylor expansion of 1 in N 0.929 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.929 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.929 * [taylor]: Taking taylor expansion of 1.0 in N 0.929 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.930 * [taylor]: Taking taylor expansion of N in N 0.959 * * * [progress]: simplifying candidates 0.961 * [simplify]: Simplifying using # : (fma (* (cbrt (expm1 (log1p (log (+ N 1.0))))) (cbrt (expm1 (log1p (log (+ N 1.0)))))) (cbrt (expm1 (log1p (log (+ N 1.0))))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (expm1 (log1p (log (+ N 1.0))))) (cbrt (expm1 (log1p (log (+ N 1.0)))))) (cbrt (expm1 (log1p (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 (expm1 (log1p (log (+ N 1.0))))) (cbrt (expm1 (log1p (log (+ N 1.0)))))) (cbrt (expm1 (log1p (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 (expm1 (log1p (log (+ N 1.0))))) (cbrt (expm1 (log1p (log (+ N 1.0)))))) (cbrt (expm1 (log1p (log (+ N 1.0))))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (expm1 (log1p (log (+ N 1.0))))) (sqrt (expm1 (log1p (log (+ N 1.0))))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (expm1 (log1p (log (+ N 1.0))))) (sqrt (expm1 (log1p (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 (expm1 (log1p (log (+ N 1.0))))) (sqrt (expm1 (log1p (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 (expm1 (log1p (log (+ N 1.0))))) (sqrt (expm1 (log1p (log (+ N 1.0))))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (expm1 (log1p (log (+ N 1.0)))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (expm1 (log1p (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 (expm1 (log1p (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 (expm1 (log1p (log (+ N 1.0)))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (expm1 (log1p (log (+ N 1.0)))) (log N))) (log1p (- (expm1 (log1p (log (+ N 1.0)))) (log N))) (- (log N)) (- (log N)) (- (log N)) (/ (exp (expm1 (log1p (log (+ N 1.0))))) N) (log (- (expm1 (log1p (log (+ N 1.0)))) (log N))) (exp (- (expm1 (log1p (log (+ N 1.0)))) (log N))) (* (cbrt (- (expm1 (log1p (log (+ N 1.0)))) (log N))) (cbrt (- (expm1 (log1p (log (+ N 1.0)))) (log N)))) (cbrt (- (expm1 (log1p (log (+ N 1.0)))) (log N))) (* (* (- (expm1 (log1p (log (+ N 1.0)))) (log N)) (- (expm1 (log1p (log (+ N 1.0)))) (log N))) (- (expm1 (log1p (log (+ N 1.0)))) (log N))) (sqrt (- (expm1 (log1p (log (+ N 1.0)))) (log N))) (sqrt (- (expm1 (log1p (log (+ N 1.0)))) (log N))) (- (pow (expm1 (log1p (log (+ N 1.0)))) 3) (pow (log N) 3)) (+ (* (expm1 (log1p (log (+ N 1.0)))) (expm1 (log1p (log (+ N 1.0))))) (+ (* (log N) (log N)) (* (expm1 (log1p (log (+ N 1.0)))) (log N)))) (- (log N)) (- (* (expm1 (log1p (log (+ N 1.0)))) (expm1 (log1p (log (+ N 1.0))))) (* (log N) (log N))) (+ (expm1 (log1p (log (+ N 1.0)))) (log N)) (+ (sqrt (expm1 (log1p (log (+ N 1.0))))) (sqrt (log N))) (- (sqrt (expm1 (log1p (log (+ N 1.0))))) (sqrt (log N))) (- (expm1 (log1p (log (+ N 1.0)))) (log N)) (- (expm1 (log1p (log (+ N 1.0)))) (log N)) (- (expm1 (log1p (log (+ N 1.0)))) (log (* (cbrt N) (cbrt N)))) (- (expm1 (log1p (log (+ N 1.0)))) (log (sqrt N))) (- (expm1 (log1p (log (+ N 1.0)))) (log 1)) (+ 1 (log N)) (- (log N)) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (exp (log1p (log (+ N 1.0)))) (expm1 (expm1 (log1p (log (+ N 1.0))))) (log1p (expm1 (log1p (log (+ N 1.0))))) (log (expm1 (log1p (log (+ N 1.0))))) (exp (expm1 (log1p (log (+ N 1.0))))) (* (cbrt (expm1 (log1p (log (+ N 1.0))))) (cbrt (expm1 (log1p (log (+ N 1.0)))))) (cbrt (expm1 (log1p (log (+ N 1.0))))) (* (* (expm1 (log1p (log (+ N 1.0)))) (expm1 (log1p (log (+ N 1.0))))) (expm1 (log1p (log (+ N 1.0))))) (sqrt (expm1 (log1p (log (+ N 1.0))))) (sqrt (expm1 (log1p (log (+ N 1.0))))) (+ 1 (log (+ N 1.0))) (expm1 (log1p (log (+ N 1.0)))) (log1p (log1p (log (+ N 1.0)))) (log (log1p (log (+ N 1.0)))) (exp (log1p (log (+ N 1.0)))) (* (cbrt (log1p (log (+ N 1.0)))) (cbrt (log1p (log (+ N 1.0))))) (cbrt (log1p (log (+ N 1.0)))) (* (* (log1p (log (+ N 1.0))) (log1p (log (+ N 1.0)))) (log1p (log (+ N 1.0)))) (sqrt (log1p (log (+ N 1.0)))) (sqrt (log1p (log (+ N 1.0)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 1.0 (/ 1 N)) (+ (* 0.3333333333333333 (/ 1 (* (- 1 (log (/ 1 N))) (pow N 3)))) (* 5.551115123125783e-17 (/ (log (/ 1 N)) (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3)))))) (+ (* 5.551115123125783e-17 (/ 1 (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3)))) (+ (* 0.3333333333333333 (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))))) (- (+ (* 1.0 (/ 1 N)) (+ (* 0.3333333333333333 (/ 1 (* (pow N 3) (- (+ (log -1) 1) (log (/ -1 N)))))) (+ (* 5.551115123125783e-17 (/ (log (/ -1 N)) (* (pow N 3) (pow (- (+ (log -1) 1) (log (/ -1 N))) 3)))) (* 0.3333333333333333 (/ (log -1) (* (pow N 3) (- (+ (log -1) 1) (log (/ -1 N))))))))) (+ (* 0.3333333333333333 (/ (log (/ -1 N)) (* (pow N 3) (- (+ (log -1) 1) (log (/ -1 N)))))) (+ (* 5.551115123125783e-17 (/ (log -1) (* (pow N 3) (pow (- (+ (log -1) 1) (log (/ -1 N))) 3)))) (+ (* 5.551115123125783e-17 (/ 1 (* (pow N 3) (pow (- (+ (log -1) 1) (log (/ -1 N))) 3)))) (* 0.5 (/ 1 (pow N 2))))))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 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))) (log (+ (log 1.0) 1))) (+ (* 0.5 (/ (pow N 2) (pow (+ (log 1.0) 1) 2))) (* 1/2 (/ (pow N 2) (* (pow 1.0 2) (+ (log 1.0) 1)))))) (- (+ (* 1.0 (/ 1 (* (- 1 (log (/ 1 N))) N))) (log (- 1 (log (/ 1 N))))) (+ (* 0.5 (/ 1 (* (- 1 (log (/ 1 N))) (pow N 2)))) (* 0.5 (/ 1 (* (pow (- 1 (log (/ 1 N))) 2) (pow N 2)))))) (- (+ (* 1.0 (/ 1 (* N (- (+ (log -1) 1) (log (/ -1 N)))))) (log (- (+ (log -1) 1) (log (/ -1 N))))) (+ (* 0.5 (/ 1 (* (pow N 2) (- (+ (log -1) 1) (log (/ -1 N)))))) (* 0.5 (/ 1 (* (pow N 2) (pow (- (+ (log -1) 1) (log (/ -1 N))) 2)))))) 0.968 * * [simplify]: iteration 0 : 556 enodes (cost 870 ) 0.977 * * [simplify]: iteration 1 : 2211 enodes (cost 669 ) 1.013 * * [simplify]: iteration 2 : 5002 enodes (cost 649 ) 1.017 * [simplify]: Simplified to: (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N))) (- (log N) (log N)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N))) (- (log N) (log N)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N))) (- (log N) (log N)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N))) (- (log N) (log N)) (- (log (+ N 1.0)) (log N)) (- (log N) (log N)) (- (log (+ N 1.0)) (log N)) (- (log N) (log N)) (- (log (+ N 1.0)) (log N)) (- (log N) (log N)) (- (log (+ N 1.0)) (log N)) (- (log N) (log N)) (- (log (+ N 1.0)) (log N)) (- (log N) (log N)) (- (log (+ N 1.0)) (log N)) (- (log N) (log N)) (- (log (+ N 1.0)) (log N)) (- (log N) (log N)) (- (log (+ N 1.0)) (log N)) (- (log N) (log N)) (expm1 (- (expm1 (log1p (log (+ N 1.0)))) (log N))) (log1p (- (expm1 (log1p (log (+ N 1.0)))) (log N))) (log (/ 1 N)) (log (/ 1 N)) (log (/ 1 N)) (/ (+ N 1.0) N) (log (- (expm1 (log1p (log (+ N 1.0)))) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (expm1 (log1p (log (+ N 1.0)))) (log N))) (cbrt (- (expm1 (log1p (log (+ N 1.0)))) (log N)))) (cbrt (- (expm1 (log1p (log (+ N 1.0)))) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (expm1 (log1p (log (+ N 1.0)))) (log N))) (sqrt (- (expm1 (log1p (log (+ N 1.0)))) (log N))) (+ (- (pow (log N) 3)) (pow (log (+ N 1.0)) 3)) (fma (log N) (+ (log N) (log (+ N 1.0))) (* (log (+ N 1.0)) (log (+ N 1.0)))) (log (/ 1 N)) (fma (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 (* (cbrt N) (cbrt N))))) (+ (log (+ N 1.0)) (- (log (sqrt N)))) (+ (log (+ N 1.0)) (- (log 1))) (+ 1 (log N)) (log (/ 1 N)) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (exp (log1p (log (+ N 1.0)))) (expm1 (log (+ N 1.0))) (log1p (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))) (+ 1 (log (+ N 1.0))) (log (+ N 1.0)) (log1p (log1p (log (+ N 1.0)))) (log (log1p (log (+ N 1.0)))) (exp (log1p (log (+ N 1.0)))) (* (cbrt (log1p (log (+ N 1.0)))) (cbrt (log1p (log (+ N 1.0))))) (cbrt (log1p (log (+ N 1.0)))) (pow (log1p (log (+ N 1.0))) 3) (sqrt (log1p (log (+ N 1.0)))) (sqrt (log1p (log (+ N 1.0)))) (fma 1.0 N (- (log 1.0) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N)))) (fma 1.0 (/ 1 N) (- (fma 0.3333333333333333 (/ 1 (* (- 1 (log (/ 1 N))) (pow N 3))) (* 5.551115123125783e-17 (/ (log (/ 1 N)) (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3))))) (fma 5.551115123125783e-17 (/ 1 (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3))) (fma 0.3333333333333333 (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3))) (* 0.5 (/ 1 (pow N 2))))))) (fma 1.0 (/ 1 N) (- (fma 0.3333333333333333 (/ 1 (* (pow N 3) (- (+ (log -1) 1) (log (/ -1 N))))) (fma 5.551115123125783e-17 (/ (log (/ -1 N)) (* (pow N 3) (pow (- (+ (log -1) 1) (log (/ -1 N))) 3))) (* 0.3333333333333333 (/ (log -1) (* (pow N 3) (- (+ (log -1) 1) (log (/ -1 N)))))))) (fma 0.3333333333333333 (/ (log (/ -1 N)) (* (pow N 3) (- (+ (log -1) 1) (log (/ -1 N))))) (fma 5.551115123125783e-17 (/ (log -1) (* (pow N 3) (pow (- (+ (log -1) 1) (log (/ -1 N))) 3))) (fma 5.551115123125783e-17 (/ 1 (* (pow N 3) (pow (- (+ (log -1) 1) (log (/ -1 N))) 3))) (* 0.5 (/ 1 (pow N 2)))))))) (fma 1.0 N (- (log 1.0) (* 1/2 (/ (pow N 2) (pow 1.0 2))))) (fma 1.0 (/ 1 N) (- (fma 0.5 (/ 1 (pow N 2)) (log (/ 1 N))))) (fma 1.0 (/ 1 N) (- (log -1) (fma 0.5 (/ 1 (pow N 2)) (log (/ -1 N))))) (fma 1.0 N (- (log 1.0) (* 1/2 (/ (pow N 2) (pow 1.0 2))))) (fma 1.0 (/ 1 N) (- (fma 0.5 (/ 1 (pow N 2)) (log (/ 1 N))))) (fma 1.0 (/ 1 N) (- (log -1) (fma 0.5 (/ 1 (pow N 2)) (log (/ -1 N))))) (fma 1.0 (/ N (+ (log 1.0) 1)) (- (log (+ (log 1.0) 1)) (fma 0.5 (/ (pow N 2) (pow (+ (log 1.0) 1) 2)) (* 1/2 (/ (pow N 2) (* (pow 1.0 2) (+ (log 1.0) 1))))))) (fma (- 0.5) (+ (/ 1 (* (- 1 (log (/ 1 N))) (pow N 2))) (/ 1 (* (pow (- 1 (log (/ 1 N))) 2) (pow N 2)))) (fma 1.0 (/ (/ 1 N) (+ 1 (log N))) (log1p (log N)))) (fma (- 0.5) (+ (/ 1 (* (pow N 2) (- (+ (log -1) 1) (log (/ -1 N))))) (/ 1 (* (pow N 2) (pow (- (+ (log -1) 1) (log (/ -1 N))) 2)))) (fma 1.0 (/ 1 (* N (- (+ (log -1) 1) (log (/ -1 N))))) (log1p (- (log -1) (log (/ -1 N)))))) 1.017 * * * [progress]: adding candidates to table 1.221 * * [progress]: iteration 3 / 4 1.221 * * * [progress]: picking best candidate 1.226 * * * * [pick]: Picked # 1.226 * * * [progress]: localizing error 1.260 * * * [progress]: generating rewritten candidates 1.260 * * * * [progress]: [ 1 / 4 ] rewriting at (2 3) 1.264 * * * * [progress]: [ 2 / 4 ] rewriting at (2 3 2 3) 1.265 * * * * [progress]: [ 3 / 4 ] rewriting at (2 3 2 3 3 2) 1.270 * * * * [progress]: [ 4 / 4 ] rewriting at (2 3 2 2 2 1) 1.283 * * * [progress]: generating series expansions 1.283 * * * * [progress]: [ 1 / 4 ] generating series at (2 3) 1.284 * [approximate]: Taking taylor expansion of (- (fma 0.3333333333333333 (/ 1 (* (- 1 (log (/ 1 N))) (pow N 3))) (* 5.551115123125783e-17 (/ (log (/ 1 N)) (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3))))) (fma 5.551115123125783e-17 (/ 1 (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3))) (fma 0.3333333333333333 (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3))) (/ 0.5 (pow N 2))))) in (N) around 0 1.284 * [taylor]: Taking taylor expansion of (- (fma 0.3333333333333333 (/ 1 (* (- 1 (log (/ 1 N))) (pow N 3))) (* 5.551115123125783e-17 (/ (log (/ 1 N)) (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3))))) (fma 5.551115123125783e-17 (/ 1 (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3))) (fma 0.3333333333333333 (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3))) (/ 0.5 (pow N 2))))) in N 1.284 * [taylor]: Taking taylor expansion of (fma 0.3333333333333333 (/ 1 (* (- 1 (log (/ 1 N))) (pow N 3))) (* 5.551115123125783e-17 (/ (log (/ 1 N)) (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3))))) in N 1.284 * [taylor]: Rewrote expression to (+ (* 0.3333333333333333 (/ 1 (* (- 1 (log (/ 1 N))) (pow N 3)))) (* 5.551115123125783e-17 (/ (log (/ 1 N)) (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3))))) 1.284 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (* (- 1 (log (/ 1 N))) (pow N 3)))) in N 1.284 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.284 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1 (log (/ 1 N))) (pow N 3))) in N 1.284 * [taylor]: Taking taylor expansion of (* (- 1 (log (/ 1 N))) (pow N 3)) in N 1.284 * [taylor]: Taking taylor expansion of (- 1 (log (/ 1 N))) in N 1.284 * [taylor]: Taking taylor expansion of 1 in N 1.284 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.284 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.284 * [taylor]: Taking taylor expansion of N in N 1.285 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.285 * [taylor]: Taking taylor expansion of N in N 1.287 * [taylor]: Taking taylor expansion of (* 5.551115123125783e-17 (/ (log (/ 1 N)) (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3)))) in N 1.287 * [taylor]: Taking taylor expansion of 5.551115123125783e-17 in N 1.287 * [taylor]: Taking taylor expansion of (/ (log (/ 1 N)) (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3))) in N 1.287 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.287 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.287 * [taylor]: Taking taylor expansion of N in N 1.287 * [taylor]: Taking taylor expansion of (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3)) in N 1.287 * [taylor]: Taking taylor expansion of (pow (- 1 (log (/ 1 N))) 3) in N 1.287 * [taylor]: Taking taylor expansion of (- 1 (log (/ 1 N))) in N 1.287 * [taylor]: Taking taylor expansion of 1 in N 1.287 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.287 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.287 * [taylor]: Taking taylor expansion of N in N 1.288 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.288 * [taylor]: Taking taylor expansion of N in N 1.290 * [taylor]: Taking taylor expansion of (fma 5.551115123125783e-17 (/ 1 (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3))) (fma 0.3333333333333333 (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3))) (/ 0.5 (pow N 2)))) in N 1.290 * [taylor]: Rewrote expression to (+ (* 5.551115123125783e-17 (/ 1 (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3)))) (fma 0.3333333333333333 (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3))) (/ 0.5 (pow N 2)))) 1.290 * [taylor]: Taking taylor expansion of (* 5.551115123125783e-17 (/ 1 (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3)))) in N 1.290 * [taylor]: Taking taylor expansion of 5.551115123125783e-17 in N 1.290 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3))) in N 1.290 * [taylor]: Taking taylor expansion of (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3)) in N 1.290 * [taylor]: Taking taylor expansion of (pow (- 1 (log (/ 1 N))) 3) in N 1.290 * [taylor]: Taking taylor expansion of (- 1 (log (/ 1 N))) in N 1.290 * [taylor]: Taking taylor expansion of 1 in N 1.290 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.290 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.290 * [taylor]: Taking taylor expansion of N in N 1.291 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.291 * [taylor]: Taking taylor expansion of N in N 1.292 * [taylor]: Taking taylor expansion of (fma 0.3333333333333333 (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3))) (/ 0.5 (pow N 2))) in N 1.292 * [taylor]: Rewrote expression to (+ (* 0.3333333333333333 (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3)))) (/ 0.5 (pow N 2))) 1.292 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3)))) in N 1.292 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.292 * [taylor]: Taking taylor expansion of (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3))) in N 1.292 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.292 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.292 * [taylor]: Taking taylor expansion of N in N 1.292 * [taylor]: Taking taylor expansion of (* (- 1 (log (/ 1 N))) (pow N 3)) in N 1.292 * [taylor]: Taking taylor expansion of (- 1 (log (/ 1 N))) in N 1.292 * [taylor]: Taking taylor expansion of 1 in N 1.292 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.292 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.292 * [taylor]: Taking taylor expansion of N in N 1.293 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.293 * [taylor]: Taking taylor expansion of N in N 1.294 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 1.294 * [taylor]: Taking taylor expansion of 0.5 in N 1.294 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.294 * [taylor]: Taking taylor expansion of N in N 1.295 * [taylor]: Taking taylor expansion of (- (fma 0.3333333333333333 (/ 1 (* (- 1 (log (/ 1 N))) (pow N 3))) (* 5.551115123125783e-17 (/ (log (/ 1 N)) (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3))))) (fma 5.551115123125783e-17 (/ 1 (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3))) (fma 0.3333333333333333 (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3))) (/ 0.5 (pow N 2))))) in N 1.295 * [taylor]: Taking taylor expansion of (fma 0.3333333333333333 (/ 1 (* (- 1 (log (/ 1 N))) (pow N 3))) (* 5.551115123125783e-17 (/ (log (/ 1 N)) (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3))))) in N 1.295 * [taylor]: Rewrote expression to (+ (* 0.3333333333333333 (/ 1 (* (- 1 (log (/ 1 N))) (pow N 3)))) (* 5.551115123125783e-17 (/ (log (/ 1 N)) (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3))))) 1.295 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (* (- 1 (log (/ 1 N))) (pow N 3)))) in N 1.295 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.295 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1 (log (/ 1 N))) (pow N 3))) in N 1.295 * [taylor]: Taking taylor expansion of (* (- 1 (log (/ 1 N))) (pow N 3)) in N 1.295 * [taylor]: Taking taylor expansion of (- 1 (log (/ 1 N))) in N 1.295 * [taylor]: Taking taylor expansion of 1 in N 1.295 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.295 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.295 * [taylor]: Taking taylor expansion of N in N 1.296 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.296 * [taylor]: Taking taylor expansion of N in N 1.297 * [taylor]: Taking taylor expansion of (* 5.551115123125783e-17 (/ (log (/ 1 N)) (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3)))) in N 1.297 * [taylor]: Taking taylor expansion of 5.551115123125783e-17 in N 1.297 * [taylor]: Taking taylor expansion of (/ (log (/ 1 N)) (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3))) in N 1.297 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.297 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.297 * [taylor]: Taking taylor expansion of N in N 1.297 * [taylor]: Taking taylor expansion of (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3)) in N 1.297 * [taylor]: Taking taylor expansion of (pow (- 1 (log (/ 1 N))) 3) in N 1.297 * [taylor]: Taking taylor expansion of (- 1 (log (/ 1 N))) in N 1.297 * [taylor]: Taking taylor expansion of 1 in N 1.297 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.297 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.297 * [taylor]: Taking taylor expansion of N in N 1.298 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.298 * [taylor]: Taking taylor expansion of N in N 1.300 * [taylor]: Taking taylor expansion of (fma 5.551115123125783e-17 (/ 1 (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3))) (fma 0.3333333333333333 (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3))) (/ 0.5 (pow N 2)))) in N 1.300 * [taylor]: Rewrote expression to (+ (* 5.551115123125783e-17 (/ 1 (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3)))) (fma 0.3333333333333333 (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3))) (/ 0.5 (pow N 2)))) 1.300 * [taylor]: Taking taylor expansion of (* 5.551115123125783e-17 (/ 1 (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3)))) in N 1.300 * [taylor]: Taking taylor expansion of 5.551115123125783e-17 in N 1.300 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3))) in N 1.300 * [taylor]: Taking taylor expansion of (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3)) in N 1.300 * [taylor]: Taking taylor expansion of (pow (- 1 (log (/ 1 N))) 3) in N 1.300 * [taylor]: Taking taylor expansion of (- 1 (log (/ 1 N))) in N 1.300 * [taylor]: Taking taylor expansion of 1 in N 1.300 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.300 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.300 * [taylor]: Taking taylor expansion of N in N 1.301 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.301 * [taylor]: Taking taylor expansion of N in N 1.302 * [taylor]: Taking taylor expansion of (fma 0.3333333333333333 (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3))) (/ 0.5 (pow N 2))) in N 1.302 * [taylor]: Rewrote expression to (+ (* 0.3333333333333333 (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3)))) (/ 0.5 (pow N 2))) 1.302 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3)))) in N 1.302 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.302 * [taylor]: Taking taylor expansion of (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3))) in N 1.302 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.302 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.302 * [taylor]: Taking taylor expansion of N in N 1.302 * [taylor]: Taking taylor expansion of (* (- 1 (log (/ 1 N))) (pow N 3)) in N 1.303 * [taylor]: Taking taylor expansion of (- 1 (log (/ 1 N))) in N 1.303 * [taylor]: Taking taylor expansion of 1 in N 1.303 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.303 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.303 * [taylor]: Taking taylor expansion of N in N 1.303 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.303 * [taylor]: Taking taylor expansion of N in N 1.304 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 1.304 * [taylor]: Taking taylor expansion of 0.5 in N 1.305 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.305 * [taylor]: Taking taylor expansion of N in N 1.824 * [approximate]: Taking taylor expansion of (- (fma 0.3333333333333333 (/ (pow N 3) (- 1 (log N))) (* 5.551115123125783e-17 (/ (* (pow N 3) (log N)) (pow (- 1 (log N)) 3)))) (fma 5.551115123125783e-17 (/ (pow N 3) (pow (- 1 (log N)) 3)) (fma 0.3333333333333333 (/ (* (pow N 3) (log N)) (- 1 (log N))) (* 0.5 (pow N 2))))) in (N) around 0 1.824 * [taylor]: Taking taylor expansion of (- (fma 0.3333333333333333 (/ (pow N 3) (- 1 (log N))) (* 5.551115123125783e-17 (/ (* (pow N 3) (log N)) (pow (- 1 (log N)) 3)))) (fma 5.551115123125783e-17 (/ (pow N 3) (pow (- 1 (log N)) 3)) (fma 0.3333333333333333 (/ (* (pow N 3) (log N)) (- 1 (log N))) (* 0.5 (pow N 2))))) in N 1.824 * [taylor]: Taking taylor expansion of (fma 0.3333333333333333 (/ (pow N 3) (- 1 (log N))) (* 5.551115123125783e-17 (/ (* (pow N 3) (log N)) (pow (- 1 (log N)) 3)))) in N 1.824 * [taylor]: Rewrote expression to (+ (* 0.3333333333333333 (/ (pow N 3) (- 1 (log N)))) (* 5.551115123125783e-17 (/ (* (pow N 3) (log N)) (pow (- 1 (log N)) 3)))) 1.824 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (pow N 3) (- 1 (log N)))) in N 1.824 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.824 * [taylor]: Taking taylor expansion of (/ (pow N 3) (- 1 (log N))) in N 1.824 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.824 * [taylor]: Taking taylor expansion of N in N 1.824 * [taylor]: Taking taylor expansion of (- 1 (log N)) in N 1.824 * [taylor]: Taking taylor expansion of 1 in N 1.824 * [taylor]: Taking taylor expansion of (log N) in N 1.824 * [taylor]: Taking taylor expansion of N in N 1.825 * [taylor]: Taking taylor expansion of (* 5.551115123125783e-17 (/ (* (pow N 3) (log N)) (pow (- 1 (log N)) 3))) in N 1.825 * [taylor]: Taking taylor expansion of 5.551115123125783e-17 in N 1.825 * [taylor]: Taking taylor expansion of (/ (* (pow N 3) (log N)) (pow (- 1 (log N)) 3)) in N 1.825 * [taylor]: Taking taylor expansion of (* (pow N 3) (log N)) in N 1.825 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.825 * [taylor]: Taking taylor expansion of N in N 1.825 * [taylor]: Taking taylor expansion of (log N) in N 1.825 * [taylor]: Taking taylor expansion of N in N 1.826 * [taylor]: Taking taylor expansion of (pow (- 1 (log N)) 3) in N 1.826 * [taylor]: Taking taylor expansion of (- 1 (log N)) in N 1.826 * [taylor]: Taking taylor expansion of 1 in N 1.826 * [taylor]: Taking taylor expansion of (log N) in N 1.826 * [taylor]: Taking taylor expansion of N in N 1.827 * [taylor]: Taking taylor expansion of (fma 5.551115123125783e-17 (/ (pow N 3) (pow (- 1 (log N)) 3)) (fma 0.3333333333333333 (/ (* (pow N 3) (log N)) (- 1 (log N))) (* 0.5 (pow N 2)))) in N 1.827 * [taylor]: Rewrote expression to (+ (* 5.551115123125783e-17 (/ (pow N 3) (pow (- 1 (log N)) 3))) (fma 0.3333333333333333 (/ (* (pow N 3) (log N)) (- 1 (log N))) (* 0.5 (pow N 2)))) 1.827 * [taylor]: Taking taylor expansion of (* 5.551115123125783e-17 (/ (pow N 3) (pow (- 1 (log N)) 3))) in N 1.827 * [taylor]: Taking taylor expansion of 5.551115123125783e-17 in N 1.827 * [taylor]: Taking taylor expansion of (/ (pow N 3) (pow (- 1 (log N)) 3)) in N 1.827 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.827 * [taylor]: Taking taylor expansion of N in N 1.828 * [taylor]: Taking taylor expansion of (pow (- 1 (log N)) 3) in N 1.828 * [taylor]: Taking taylor expansion of (- 1 (log N)) in N 1.828 * [taylor]: Taking taylor expansion of 1 in N 1.828 * [taylor]: Taking taylor expansion of (log N) in N 1.828 * [taylor]: Taking taylor expansion of N in N 1.829 * [taylor]: Taking taylor expansion of (fma 0.3333333333333333 (/ (* (pow N 3) (log N)) (- 1 (log N))) (* 0.5 (pow N 2))) in N 1.829 * [taylor]: Rewrote expression to (+ (* 0.3333333333333333 (/ (* (pow N 3) (log N)) (- 1 (log N)))) (* 0.5 (pow N 2))) 1.829 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (* (pow N 3) (log N)) (- 1 (log N)))) in N 1.829 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.829 * [taylor]: Taking taylor expansion of (/ (* (pow N 3) (log N)) (- 1 (log N))) in N 1.829 * [taylor]: Taking taylor expansion of (* (pow N 3) (log N)) in N 1.829 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.829 * [taylor]: Taking taylor expansion of N in N 1.829 * [taylor]: Taking taylor expansion of (log N) in N 1.829 * [taylor]: Taking taylor expansion of N in N 1.830 * [taylor]: Taking taylor expansion of (- 1 (log N)) in N 1.830 * [taylor]: Taking taylor expansion of 1 in N 1.830 * [taylor]: Taking taylor expansion of (log N) in N 1.830 * [taylor]: Taking taylor expansion of N in N 1.831 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 1.831 * [taylor]: Taking taylor expansion of 0.5 in N 1.831 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.831 * [taylor]: Taking taylor expansion of N in N 1.831 * [taylor]: Taking taylor expansion of (- (fma 0.3333333333333333 (/ (pow N 3) (- 1 (log N))) (* 5.551115123125783e-17 (/ (* (pow N 3) (log N)) (pow (- 1 (log N)) 3)))) (fma 5.551115123125783e-17 (/ (pow N 3) (pow (- 1 (log N)) 3)) (fma 0.3333333333333333 (/ (* (pow N 3) (log N)) (- 1 (log N))) (* 0.5 (pow N 2))))) in N 1.831 * [taylor]: Taking taylor expansion of (fma 0.3333333333333333 (/ (pow N 3) (- 1 (log N))) (* 5.551115123125783e-17 (/ (* (pow N 3) (log N)) (pow (- 1 (log N)) 3)))) in N 1.831 * [taylor]: Rewrote expression to (+ (* 0.3333333333333333 (/ (pow N 3) (- 1 (log N)))) (* 5.551115123125783e-17 (/ (* (pow N 3) (log N)) (pow (- 1 (log N)) 3)))) 1.831 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (pow N 3) (- 1 (log N)))) in N 1.831 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.831 * [taylor]: Taking taylor expansion of (/ (pow N 3) (- 1 (log N))) in N 1.831 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.831 * [taylor]: Taking taylor expansion of N in N 1.831 * [taylor]: Taking taylor expansion of (- 1 (log N)) in N 1.831 * [taylor]: Taking taylor expansion of 1 in N 1.831 * [taylor]: Taking taylor expansion of (log N) in N 1.831 * [taylor]: Taking taylor expansion of N in N 1.832 * [taylor]: Taking taylor expansion of (* 5.551115123125783e-17 (/ (* (pow N 3) (log N)) (pow (- 1 (log N)) 3))) in N 1.832 * [taylor]: Taking taylor expansion of 5.551115123125783e-17 in N 1.833 * [taylor]: Taking taylor expansion of (/ (* (pow N 3) (log N)) (pow (- 1 (log N)) 3)) in N 1.833 * [taylor]: Taking taylor expansion of (* (pow N 3) (log N)) in N 1.833 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.833 * [taylor]: Taking taylor expansion of N in N 1.833 * [taylor]: Taking taylor expansion of (log N) in N 1.833 * [taylor]: Taking taylor expansion of N in N 1.833 * [taylor]: Taking taylor expansion of (pow (- 1 (log N)) 3) in N 1.833 * [taylor]: Taking taylor expansion of (- 1 (log N)) in N 1.833 * [taylor]: Taking taylor expansion of 1 in N 1.833 * [taylor]: Taking taylor expansion of (log N) in N 1.833 * [taylor]: Taking taylor expansion of N in N 1.834 * [taylor]: Taking taylor expansion of (fma 5.551115123125783e-17 (/ (pow N 3) (pow (- 1 (log N)) 3)) (fma 0.3333333333333333 (/ (* (pow N 3) (log N)) (- 1 (log N))) (* 0.5 (pow N 2)))) in N 1.835 * [taylor]: Rewrote expression to (+ (* 5.551115123125783e-17 (/ (pow N 3) (pow (- 1 (log N)) 3))) (fma 0.3333333333333333 (/ (* (pow N 3) (log N)) (- 1 (log N))) (* 0.5 (pow N 2)))) 1.835 * [taylor]: Taking taylor expansion of (* 5.551115123125783e-17 (/ (pow N 3) (pow (- 1 (log N)) 3))) in N 1.835 * [taylor]: Taking taylor expansion of 5.551115123125783e-17 in N 1.835 * [taylor]: Taking taylor expansion of (/ (pow N 3) (pow (- 1 (log N)) 3)) in N 1.835 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.835 * [taylor]: Taking taylor expansion of N in N 1.835 * [taylor]: Taking taylor expansion of (pow (- 1 (log N)) 3) in N 1.835 * [taylor]: Taking taylor expansion of (- 1 (log N)) in N 1.835 * [taylor]: Taking taylor expansion of 1 in N 1.835 * [taylor]: Taking taylor expansion of (log N) in N 1.835 * [taylor]: Taking taylor expansion of N in N 1.836 * [taylor]: Taking taylor expansion of (fma 0.3333333333333333 (/ (* (pow N 3) (log N)) (- 1 (log N))) (* 0.5 (pow N 2))) in N 1.836 * [taylor]: Rewrote expression to (+ (* 0.3333333333333333 (/ (* (pow N 3) (log N)) (- 1 (log N)))) (* 0.5 (pow N 2))) 1.836 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (* (pow N 3) (log N)) (- 1 (log N)))) in N 1.836 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.836 * [taylor]: Taking taylor expansion of (/ (* (pow N 3) (log N)) (- 1 (log N))) in N 1.836 * [taylor]: Taking taylor expansion of (* (pow N 3) (log N)) in N 1.836 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.836 * [taylor]: Taking taylor expansion of N in N 1.836 * [taylor]: Taking taylor expansion of (log N) in N 1.836 * [taylor]: Taking taylor expansion of N in N 1.837 * [taylor]: Taking taylor expansion of (- 1 (log N)) in N 1.837 * [taylor]: Taking taylor expansion of 1 in N 1.837 * [taylor]: Taking taylor expansion of (log N) in N 1.837 * [taylor]: Taking taylor expansion of N in N 1.838 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 1.838 * [taylor]: Taking taylor expansion of 0.5 in N 1.838 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.838 * [taylor]: Taking taylor expansion of N in N 2.170 * [approximate]: Taking taylor expansion of (- (fma 0.3333333333333333 (* -1 (/ (pow N 3) (- 1 (log (* -1 N))))) (* -5.551115123125783e-17 (/ (* (pow N 3) (log (* -1 N))) (pow (- 1 (log (* -1 N))) 3)))) (fma 5.551115123125783e-17 (* -1 (/ (pow N 3) (pow (- 1 (log (* -1 N))) 3))) (fma 0.3333333333333333 (* -1 (/ (* (pow N 3) (log (* -1 N))) (- 1 (log (* -1 N))))) (* 0.5 (pow N 2))))) in (N) around 0 2.170 * [taylor]: Taking taylor expansion of (- (fma 0.3333333333333333 (* -1 (/ (pow N 3) (- 1 (log (* -1 N))))) (* -5.551115123125783e-17 (/ (* (pow N 3) (log (* -1 N))) (pow (- 1 (log (* -1 N))) 3)))) (fma 5.551115123125783e-17 (* -1 (/ (pow N 3) (pow (- 1 (log (* -1 N))) 3))) (fma 0.3333333333333333 (* -1 (/ (* (pow N 3) (log (* -1 N))) (- 1 (log (* -1 N))))) (* 0.5 (pow N 2))))) in N 2.170 * [taylor]: Taking taylor expansion of (fma 0.3333333333333333 (* -1 (/ (pow N 3) (- 1 (log (* -1 N))))) (* -5.551115123125783e-17 (/ (* (pow N 3) (log (* -1 N))) (pow (- 1 (log (* -1 N))) 3)))) in N 2.170 * [taylor]: Rewrote expression to (+ (* 0.3333333333333333 (* -1 (/ (pow N 3) (- 1 (log (* -1 N)))))) (* -5.551115123125783e-17 (/ (* (pow N 3) (log (* -1 N))) (pow (- 1 (log (* -1 N))) 3)))) 2.170 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (* -1 (/ (pow N 3) (- 1 (log (* -1 N)))))) in N 2.170 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.170 * [taylor]: Taking taylor expansion of (* -1 (/ (pow N 3) (- 1 (log (* -1 N))))) in N 2.170 * [taylor]: Taking taylor expansion of -1 in N 2.170 * [taylor]: Taking taylor expansion of (/ (pow N 3) (- 1 (log (* -1 N)))) in N 2.171 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.171 * [taylor]: Taking taylor expansion of N in N 2.171 * [taylor]: Taking taylor expansion of (- 1 (log (* -1 N))) in N 2.171 * [taylor]: Taking taylor expansion of 1 in N 2.171 * [taylor]: Taking taylor expansion of (log (* -1 N)) in N 2.171 * [taylor]: Taking taylor expansion of (* -1 N) in N 2.171 * [taylor]: Taking taylor expansion of -1 in N 2.171 * [taylor]: Taking taylor expansion of N in N 2.173 * [taylor]: Taking taylor expansion of (* -5.551115123125783e-17 (/ (* (pow N 3) (log (* -1 N))) (pow (- 1 (log (* -1 N))) 3))) in N 2.173 * [taylor]: Taking taylor expansion of -5.551115123125783e-17 in N 2.174 * [taylor]: Taking taylor expansion of (/ (* (pow N 3) (log (* -1 N))) (pow (- 1 (log (* -1 N))) 3)) in N 2.174 * [taylor]: Taking taylor expansion of (* (pow N 3) (log (* -1 N))) in N 2.174 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.174 * [taylor]: Taking taylor expansion of N in N 2.174 * [taylor]: Taking taylor expansion of (log (* -1 N)) in N 2.174 * [taylor]: Taking taylor expansion of (* -1 N) in N 2.174 * [taylor]: Taking taylor expansion of -1 in N 2.174 * [taylor]: Taking taylor expansion of N in N 2.180 * [taylor]: Taking taylor expansion of (pow (- 1 (log (* -1 N))) 3) in N 2.180 * [taylor]: Taking taylor expansion of (- 1 (log (* -1 N))) in N 2.180 * [taylor]: Taking taylor expansion of 1 in N 2.180 * [taylor]: Taking taylor expansion of (log (* -1 N)) in N 2.180 * [taylor]: Taking taylor expansion of (* -1 N) in N 2.180 * [taylor]: Taking taylor expansion of -1 in N 2.180 * [taylor]: Taking taylor expansion of N in N 2.185 * [taylor]: Taking taylor expansion of (fma 5.551115123125783e-17 (* -1 (/ (pow N 3) (pow (- 1 (log (* -1 N))) 3))) (fma 0.3333333333333333 (* -1 (/ (* (pow N 3) (log (* -1 N))) (- 1 (log (* -1 N))))) (* 0.5 (pow N 2)))) in N 2.185 * [taylor]: Rewrote expression to (+ (* 5.551115123125783e-17 (* -1 (/ (pow N 3) (pow (- 1 (log (* -1 N))) 3)))) (fma 0.3333333333333333 (* -1 (/ (* (pow N 3) (log (* -1 N))) (- 1 (log (* -1 N))))) (* 0.5 (pow N 2)))) 2.185 * [taylor]: Taking taylor expansion of (* 5.551115123125783e-17 (* -1 (/ (pow N 3) (pow (- 1 (log (* -1 N))) 3)))) in N 2.185 * [taylor]: Taking taylor expansion of 5.551115123125783e-17 in N 2.185 * [taylor]: Taking taylor expansion of (* -1 (/ (pow N 3) (pow (- 1 (log (* -1 N))) 3))) in N 2.185 * [taylor]: Taking taylor expansion of -1 in N 2.185 * [taylor]: Taking taylor expansion of (/ (pow N 3) (pow (- 1 (log (* -1 N))) 3)) in N 2.186 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.186 * [taylor]: Taking taylor expansion of N in N 2.186 * [taylor]: Taking taylor expansion of (pow (- 1 (log (* -1 N))) 3) in N 2.186 * [taylor]: Taking taylor expansion of (- 1 (log (* -1 N))) in N 2.186 * [taylor]: Taking taylor expansion of 1 in N 2.186 * [taylor]: Taking taylor expansion of (log (* -1 N)) in N 2.186 * [taylor]: Taking taylor expansion of (* -1 N) in N 2.186 * [taylor]: Taking taylor expansion of -1 in N 2.186 * [taylor]: Taking taylor expansion of N in N 2.190 * [taylor]: Taking taylor expansion of (fma 0.3333333333333333 (* -1 (/ (* (pow N 3) (log (* -1 N))) (- 1 (log (* -1 N))))) (* 0.5 (pow N 2))) in N 2.190 * [taylor]: Rewrote expression to (+ (* 0.3333333333333333 (* -1 (/ (* (pow N 3) (log (* -1 N))) (- 1 (log (* -1 N)))))) (* 0.5 (pow N 2))) 2.190 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (* -1 (/ (* (pow N 3) (log (* -1 N))) (- 1 (log (* -1 N)))))) in N 2.190 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.190 * [taylor]: Taking taylor expansion of (* -1 (/ (* (pow N 3) (log (* -1 N))) (- 1 (log (* -1 N))))) in N 2.190 * [taylor]: Taking taylor expansion of -1 in N 2.190 * [taylor]: Taking taylor expansion of (/ (* (pow N 3) (log (* -1 N))) (- 1 (log (* -1 N)))) in N 2.190 * [taylor]: Taking taylor expansion of (* (pow N 3) (log (* -1 N))) in N 2.190 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.190 * [taylor]: Taking taylor expansion of N in N 2.190 * [taylor]: Taking taylor expansion of (log (* -1 N)) in N 2.190 * [taylor]: Taking taylor expansion of (* -1 N) in N 2.190 * [taylor]: Taking taylor expansion of -1 in N 2.190 * [taylor]: Taking taylor expansion of N in N 2.191 * [taylor]: Taking taylor expansion of (- 1 (log (* -1 N))) in N 2.191 * [taylor]: Taking taylor expansion of 1 in N 2.191 * [taylor]: Taking taylor expansion of (log (* -1 N)) in N 2.191 * [taylor]: Taking taylor expansion of (* -1 N) in N 2.191 * [taylor]: Taking taylor expansion of -1 in N 2.191 * [taylor]: Taking taylor expansion of N in N 2.195 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.195 * [taylor]: Taking taylor expansion of 0.5 in N 2.195 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.195 * [taylor]: Taking taylor expansion of N in N 2.195 * [taylor]: Taking taylor expansion of (- (fma 0.3333333333333333 (* -1 (/ (pow N 3) (- 1 (log (* -1 N))))) (* -5.551115123125783e-17 (/ (* (pow N 3) (log (* -1 N))) (pow (- 1 (log (* -1 N))) 3)))) (fma 5.551115123125783e-17 (* -1 (/ (pow N 3) (pow (- 1 (log (* -1 N))) 3))) (fma 0.3333333333333333 (* -1 (/ (* (pow N 3) (log (* -1 N))) (- 1 (log (* -1 N))))) (* 0.5 (pow N 2))))) in N 2.195 * [taylor]: Taking taylor expansion of (fma 0.3333333333333333 (* -1 (/ (pow N 3) (- 1 (log (* -1 N))))) (* -5.551115123125783e-17 (/ (* (pow N 3) (log (* -1 N))) (pow (- 1 (log (* -1 N))) 3)))) in N 2.195 * [taylor]: Rewrote expression to (+ (* 0.3333333333333333 (* -1 (/ (pow N 3) (- 1 (log (* -1 N)))))) (* -5.551115123125783e-17 (/ (* (pow N 3) (log (* -1 N))) (pow (- 1 (log (* -1 N))) 3)))) 2.195 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (* -1 (/ (pow N 3) (- 1 (log (* -1 N)))))) in N 2.195 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.195 * [taylor]: Taking taylor expansion of (* -1 (/ (pow N 3) (- 1 (log (* -1 N))))) in N 2.195 * [taylor]: Taking taylor expansion of -1 in N 2.195 * [taylor]: Taking taylor expansion of (/ (pow N 3) (- 1 (log (* -1 N)))) in N 2.195 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.195 * [taylor]: Taking taylor expansion of N in N 2.195 * [taylor]: Taking taylor expansion of (- 1 (log (* -1 N))) in N 2.195 * [taylor]: Taking taylor expansion of 1 in N 2.195 * [taylor]: Taking taylor expansion of (log (* -1 N)) in N 2.195 * [taylor]: Taking taylor expansion of (* -1 N) in N 2.195 * [taylor]: Taking taylor expansion of -1 in N 2.195 * [taylor]: Taking taylor expansion of N in N 2.198 * [taylor]: Taking taylor expansion of (* -5.551115123125783e-17 (/ (* (pow N 3) (log (* -1 N))) (pow (- 1 (log (* -1 N))) 3))) in N 2.198 * [taylor]: Taking taylor expansion of -5.551115123125783e-17 in N 2.198 * [taylor]: Taking taylor expansion of (/ (* (pow N 3) (log (* -1 N))) (pow (- 1 (log (* -1 N))) 3)) in N 2.198 * [taylor]: Taking taylor expansion of (* (pow N 3) (log (* -1 N))) in N 2.198 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.198 * [taylor]: Taking taylor expansion of N in N 2.198 * [taylor]: Taking taylor expansion of (log (* -1 N)) in N 2.198 * [taylor]: Taking taylor expansion of (* -1 N) in N 2.198 * [taylor]: Taking taylor expansion of -1 in N 2.198 * [taylor]: Taking taylor expansion of N in N 2.199 * [taylor]: Taking taylor expansion of (pow (- 1 (log (* -1 N))) 3) in N 2.199 * [taylor]: Taking taylor expansion of (- 1 (log (* -1 N))) in N 2.199 * [taylor]: Taking taylor expansion of 1 in N 2.199 * [taylor]: Taking taylor expansion of (log (* -1 N)) in N 2.199 * [taylor]: Taking taylor expansion of (* -1 N) in N 2.199 * [taylor]: Taking taylor expansion of -1 in N 2.199 * [taylor]: Taking taylor expansion of N in N 2.204 * [taylor]: Taking taylor expansion of (fma 5.551115123125783e-17 (* -1 (/ (pow N 3) (pow (- 1 (log (* -1 N))) 3))) (fma 0.3333333333333333 (* -1 (/ (* (pow N 3) (log (* -1 N))) (- 1 (log (* -1 N))))) (* 0.5 (pow N 2)))) in N 2.204 * [taylor]: Rewrote expression to (+ (* 5.551115123125783e-17 (* -1 (/ (pow N 3) (pow (- 1 (log (* -1 N))) 3)))) (fma 0.3333333333333333 (* -1 (/ (* (pow N 3) (log (* -1 N))) (- 1 (log (* -1 N))))) (* 0.5 (pow N 2)))) 2.205 * [taylor]: Taking taylor expansion of (* 5.551115123125783e-17 (* -1 (/ (pow N 3) (pow (- 1 (log (* -1 N))) 3)))) in N 2.205 * [taylor]: Taking taylor expansion of 5.551115123125783e-17 in N 2.205 * [taylor]: Taking taylor expansion of (* -1 (/ (pow N 3) (pow (- 1 (log (* -1 N))) 3))) in N 2.205 * [taylor]: Taking taylor expansion of -1 in N 2.205 * [taylor]: Taking taylor expansion of (/ (pow N 3) (pow (- 1 (log (* -1 N))) 3)) in N 2.205 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.205 * [taylor]: Taking taylor expansion of N in N 2.205 * [taylor]: Taking taylor expansion of (pow (- 1 (log (* -1 N))) 3) in N 2.205 * [taylor]: Taking taylor expansion of (- 1 (log (* -1 N))) in N 2.205 * [taylor]: Taking taylor expansion of 1 in N 2.205 * [taylor]: Taking taylor expansion of (log (* -1 N)) in N 2.205 * [taylor]: Taking taylor expansion of (* -1 N) in N 2.205 * [taylor]: Taking taylor expansion of -1 in N 2.205 * [taylor]: Taking taylor expansion of N in N 2.209 * [taylor]: Taking taylor expansion of (fma 0.3333333333333333 (* -1 (/ (* (pow N 3) (log (* -1 N))) (- 1 (log (* -1 N))))) (* 0.5 (pow N 2))) in N 2.209 * [taylor]: Rewrote expression to (+ (* 0.3333333333333333 (* -1 (/ (* (pow N 3) (log (* -1 N))) (- 1 (log (* -1 N)))))) (* 0.5 (pow N 2))) 2.209 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (* -1 (/ (* (pow N 3) (log (* -1 N))) (- 1 (log (* -1 N)))))) in N 2.209 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.209 * [taylor]: Taking taylor expansion of (* -1 (/ (* (pow N 3) (log (* -1 N))) (- 1 (log (* -1 N))))) in N 2.209 * [taylor]: Taking taylor expansion of -1 in N 2.209 * [taylor]: Taking taylor expansion of (/ (* (pow N 3) (log (* -1 N))) (- 1 (log (* -1 N)))) in N 2.209 * [taylor]: Taking taylor expansion of (* (pow N 3) (log (* -1 N))) in N 2.209 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.209 * [taylor]: Taking taylor expansion of N in N 2.209 * [taylor]: Taking taylor expansion of (log (* -1 N)) in N 2.209 * [taylor]: Taking taylor expansion of (* -1 N) in N 2.209 * [taylor]: Taking taylor expansion of -1 in N 2.209 * [taylor]: Taking taylor expansion of N in N 2.210 * [taylor]: Taking taylor expansion of (- 1 (log (* -1 N))) in N 2.210 * [taylor]: Taking taylor expansion of 1 in N 2.210 * [taylor]: Taking taylor expansion of (log (* -1 N)) in N 2.210 * [taylor]: Taking taylor expansion of (* -1 N) in N 2.210 * [taylor]: Taking taylor expansion of -1 in N 2.210 * [taylor]: Taking taylor expansion of N in N 2.214 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.214 * [taylor]: Taking taylor expansion of 0.5 in N 2.214 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.214 * [taylor]: Taking taylor expansion of N in N 2.688 * * * * [progress]: [ 2 / 4 ] generating series at (2 3 2 3) 2.688 * [approximate]: Taking taylor expansion of (fma 0.3333333333333333 (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3))) (/ 0.5 (pow N 2))) in (N) around 0 2.688 * [taylor]: Taking taylor expansion of (fma 0.3333333333333333 (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3))) (/ 0.5 (pow N 2))) in N 2.688 * [taylor]: Rewrote expression to (+ (* 0.3333333333333333 (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3)))) (/ 0.5 (pow N 2))) 2.688 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3)))) in N 2.688 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.688 * [taylor]: Taking taylor expansion of (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3))) in N 2.688 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.688 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.688 * [taylor]: Taking taylor expansion of N in N 2.689 * [taylor]: Taking taylor expansion of (* (- 1 (log (/ 1 N))) (pow N 3)) in N 2.689 * [taylor]: Taking taylor expansion of (- 1 (log (/ 1 N))) in N 2.689 * [taylor]: Taking taylor expansion of 1 in N 2.689 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.689 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.689 * [taylor]: Taking taylor expansion of N in N 2.689 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.690 * [taylor]: Taking taylor expansion of N in N 2.691 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 2.691 * [taylor]: Taking taylor expansion of 0.5 in N 2.691 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.691 * [taylor]: Taking taylor expansion of N in N 2.692 * [taylor]: Taking taylor expansion of (fma 0.3333333333333333 (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3))) (/ 0.5 (pow N 2))) in N 2.692 * [taylor]: Rewrote expression to (+ (* 0.3333333333333333 (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3)))) (/ 0.5 (pow N 2))) 2.692 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3)))) in N 2.692 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.692 * [taylor]: Taking taylor expansion of (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3))) in N 2.692 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.692 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.692 * [taylor]: Taking taylor expansion of N in N 2.692 * [taylor]: Taking taylor expansion of (* (- 1 (log (/ 1 N))) (pow N 3)) in N 2.692 * [taylor]: Taking taylor expansion of (- 1 (log (/ 1 N))) in N 2.692 * [taylor]: Taking taylor expansion of 1 in N 2.692 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.692 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.692 * [taylor]: Taking taylor expansion of N in N 2.693 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.693 * [taylor]: Taking taylor expansion of N in N 2.695 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 2.695 * [taylor]: Taking taylor expansion of 0.5 in N 2.695 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.695 * [taylor]: Taking taylor expansion of N in N 2.857 * [approximate]: Taking taylor expansion of (fma 0.3333333333333333 (/ (* (pow N 3) (log N)) (- 1 (log N))) (* 0.5 (pow N 2))) in (N) around 0 2.857 * [taylor]: Taking taylor expansion of (fma 0.3333333333333333 (/ (* (pow N 3) (log N)) (- 1 (log N))) (* 0.5 (pow N 2))) in N 2.857 * [taylor]: Rewrote expression to (+ (* 0.3333333333333333 (/ (* (pow N 3) (log N)) (- 1 (log N)))) (* 0.5 (pow N 2))) 2.857 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (* (pow N 3) (log N)) (- 1 (log N)))) in N 2.857 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.857 * [taylor]: Taking taylor expansion of (/ (* (pow N 3) (log N)) (- 1 (log N))) in N 2.857 * [taylor]: Taking taylor expansion of (* (pow N 3) (log N)) in N 2.857 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.857 * [taylor]: Taking taylor expansion of N in N 2.857 * [taylor]: Taking taylor expansion of (log N) in N 2.857 * [taylor]: Taking taylor expansion of N in N 2.858 * [taylor]: Taking taylor expansion of (- 1 (log N)) in N 2.858 * [taylor]: Taking taylor expansion of 1 in N 2.858 * [taylor]: Taking taylor expansion of (log N) in N 2.858 * [taylor]: Taking taylor expansion of N in N 2.859 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.859 * [taylor]: Taking taylor expansion of 0.5 in N 2.859 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.859 * [taylor]: Taking taylor expansion of N in N 2.859 * [taylor]: Taking taylor expansion of (fma 0.3333333333333333 (/ (* (pow N 3) (log N)) (- 1 (log N))) (* 0.5 (pow N 2))) in N 2.859 * [taylor]: Rewrote expression to (+ (* 0.3333333333333333 (/ (* (pow N 3) (log N)) (- 1 (log N)))) (* 0.5 (pow N 2))) 2.859 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (* (pow N 3) (log N)) (- 1 (log N)))) in N 2.859 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.859 * [taylor]: Taking taylor expansion of (/ (* (pow N 3) (log N)) (- 1 (log N))) in N 2.859 * [taylor]: Taking taylor expansion of (* (pow N 3) (log N)) in N 2.859 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.859 * [taylor]: Taking taylor expansion of N in N 2.859 * [taylor]: Taking taylor expansion of (log N) in N 2.859 * [taylor]: Taking taylor expansion of N in N 2.860 * [taylor]: Taking taylor expansion of (- 1 (log N)) in N 2.860 * [taylor]: Taking taylor expansion of 1 in N 2.860 * [taylor]: Taking taylor expansion of (log N) in N 2.860 * [taylor]: Taking taylor expansion of N in N 2.861 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.861 * [taylor]: Taking taylor expansion of 0.5 in N 2.861 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.861 * [taylor]: Taking taylor expansion of N in N 2.971 * [approximate]: Taking taylor expansion of (fma 0.3333333333333333 (* -1 (/ (* (pow N 3) (log (* -1 N))) (- 1 (log (* -1 N))))) (* 0.5 (pow N 2))) in (N) around 0 2.971 * [taylor]: Taking taylor expansion of (fma 0.3333333333333333 (* -1 (/ (* (pow N 3) (log (* -1 N))) (- 1 (log (* -1 N))))) (* 0.5 (pow N 2))) in N 2.971 * [taylor]: Rewrote expression to (+ (* 0.3333333333333333 (* -1 (/ (* (pow N 3) (log (* -1 N))) (- 1 (log (* -1 N)))))) (* 0.5 (pow N 2))) 2.971 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (* -1 (/ (* (pow N 3) (log (* -1 N))) (- 1 (log (* -1 N)))))) in N 2.971 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.971 * [taylor]: Taking taylor expansion of (* -1 (/ (* (pow N 3) (log (* -1 N))) (- 1 (log (* -1 N))))) in N 2.971 * [taylor]: Taking taylor expansion of -1 in N 2.971 * [taylor]: Taking taylor expansion of (/ (* (pow N 3) (log (* -1 N))) (- 1 (log (* -1 N)))) in N 2.971 * [taylor]: Taking taylor expansion of (* (pow N 3) (log (* -1 N))) in N 2.971 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.971 * [taylor]: Taking taylor expansion of N in N 2.971 * [taylor]: Taking taylor expansion of (log (* -1 N)) in N 2.971 * [taylor]: Taking taylor expansion of (* -1 N) in N 2.971 * [taylor]: Taking taylor expansion of -1 in N 2.971 * [taylor]: Taking taylor expansion of N in N 2.972 * [taylor]: Taking taylor expansion of (- 1 (log (* -1 N))) in N 2.972 * [taylor]: Taking taylor expansion of 1 in N 2.972 * [taylor]: Taking taylor expansion of (log (* -1 N)) in N 2.972 * [taylor]: Taking taylor expansion of (* -1 N) in N 2.972 * [taylor]: Taking taylor expansion of -1 in N 2.972 * [taylor]: Taking taylor expansion of N in N 2.976 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.976 * [taylor]: Taking taylor expansion of 0.5 in N 2.976 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.976 * [taylor]: Taking taylor expansion of N in N 2.976 * [taylor]: Taking taylor expansion of (fma 0.3333333333333333 (* -1 (/ (* (pow N 3) (log (* -1 N))) (- 1 (log (* -1 N))))) (* 0.5 (pow N 2))) in N 2.976 * [taylor]: Rewrote expression to (+ (* 0.3333333333333333 (* -1 (/ (* (pow N 3) (log (* -1 N))) (- 1 (log (* -1 N)))))) (* 0.5 (pow N 2))) 2.976 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (* -1 (/ (* (pow N 3) (log (* -1 N))) (- 1 (log (* -1 N)))))) in N 2.976 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.976 * [taylor]: Taking taylor expansion of (* -1 (/ (* (pow N 3) (log (* -1 N))) (- 1 (log (* -1 N))))) in N 2.976 * [taylor]: Taking taylor expansion of -1 in N 2.976 * [taylor]: Taking taylor expansion of (/ (* (pow N 3) (log (* -1 N))) (- 1 (log (* -1 N)))) in N 2.976 * [taylor]: Taking taylor expansion of (* (pow N 3) (log (* -1 N))) in N 2.976 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.976 * [taylor]: Taking taylor expansion of N in N 2.976 * [taylor]: Taking taylor expansion of (log (* -1 N)) in N 2.976 * [taylor]: Taking taylor expansion of (* -1 N) in N 2.976 * [taylor]: Taking taylor expansion of -1 in N 2.976 * [taylor]: Taking taylor expansion of N in N 2.977 * [taylor]: Taking taylor expansion of (- 1 (log (* -1 N))) in N 2.977 * [taylor]: Taking taylor expansion of 1 in N 2.977 * [taylor]: Taking taylor expansion of (log (* -1 N)) in N 2.977 * [taylor]: Taking taylor expansion of (* -1 N) in N 2.977 * [taylor]: Taking taylor expansion of -1 in N 2.977 * [taylor]: Taking taylor expansion of N in N 2.981 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.981 * [taylor]: Taking taylor expansion of 0.5 in N 2.981 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.981 * [taylor]: Taking taylor expansion of N in N 3.129 * * * * [progress]: [ 3 / 4 ] generating series at (2 3 2 3 3 2) 3.130 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 3.130 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.130 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.130 * [taylor]: Taking taylor expansion of N in N 3.130 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.130 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.130 * [taylor]: Taking taylor expansion of N in N 3.138 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 3.138 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.138 * [taylor]: Taking taylor expansion of N in N 3.138 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.138 * [taylor]: Taking taylor expansion of N in N 3.142 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 3.142 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.142 * [taylor]: Taking taylor expansion of N in N 3.142 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.142 * [taylor]: Taking taylor expansion of N in N 3.146 * * * * [progress]: [ 4 / 4 ] generating series at (2 3 2 2 2 1) 3.146 * [approximate]: Taking taylor expansion of (pow (- 1 (log (/ 1 N))) 3) in (N) around 0 3.146 * [taylor]: Taking taylor expansion of (pow (- 1 (log (/ 1 N))) 3) in N 3.146 * [taylor]: Taking taylor expansion of (- 1 (log (/ 1 N))) in N 3.146 * [taylor]: Taking taylor expansion of 1 in N 3.146 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.146 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.147 * [taylor]: Taking taylor expansion of N in N 3.147 * [taylor]: Taking taylor expansion of (pow (- 1 (log (/ 1 N))) 3) in N 3.147 * [taylor]: Taking taylor expansion of (- 1 (log (/ 1 N))) in N 3.147 * [taylor]: Taking taylor expansion of 1 in N 3.148 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.148 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.148 * [taylor]: Taking taylor expansion of N in N 3.195 * [approximate]: Taking taylor expansion of (pow (- 1 (log N)) 3) in (N) around 0 3.195 * [taylor]: Taking taylor expansion of (pow (- 1 (log N)) 3) in N 3.195 * [taylor]: Taking taylor expansion of (- 1 (log N)) in N 3.195 * [taylor]: Taking taylor expansion of 1 in N 3.195 * [taylor]: Taking taylor expansion of (log N) in N 3.195 * [taylor]: Taking taylor expansion of N in N 3.196 * [taylor]: Taking taylor expansion of (pow (- 1 (log N)) 3) in N 3.196 * [taylor]: Taking taylor expansion of (- 1 (log N)) in N 3.196 * [taylor]: Taking taylor expansion of 1 in N 3.196 * [taylor]: Taking taylor expansion of (log N) in N 3.196 * [taylor]: Taking taylor expansion of N in N 3.247 * [approximate]: Taking taylor expansion of (pow (- 1 (log (* -1 N))) 3) in (N) around 0 3.247 * [taylor]: Taking taylor expansion of (pow (- 1 (log (* -1 N))) 3) in N 3.248 * [taylor]: Taking taylor expansion of (- 1 (log (* -1 N))) in N 3.248 * [taylor]: Taking taylor expansion of 1 in N 3.248 * [taylor]: Taking taylor expansion of (log (* -1 N)) in N 3.248 * [taylor]: Taking taylor expansion of (* -1 N) in N 3.248 * [taylor]: Taking taylor expansion of -1 in N 3.248 * [taylor]: Taking taylor expansion of N in N 3.250 * [taylor]: Taking taylor expansion of (pow (- 1 (log (* -1 N))) 3) in N 3.250 * [taylor]: Taking taylor expansion of (- 1 (log (* -1 N))) in N 3.250 * [taylor]: Taking taylor expansion of 1 in N 3.250 * [taylor]: Taking taylor expansion of (log (* -1 N)) in N 3.250 * [taylor]: Taking taylor expansion of (* -1 N) in N 3.250 * [taylor]: Taking taylor expansion of -1 in N 3.250 * [taylor]: Taking taylor expansion of N in N 3.315 * * * [progress]: simplifying candidates 3.318 * [simplify]: Simplifying using # : (fma (* (cbrt (fma 0.3333333333333333 (/ 1 (* (- 1 (log (/ 1 N))) (pow N 3))) (* 5.551115123125783e-17 (/ (log (/ 1 N)) (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3)))))) (cbrt (fma 0.3333333333333333 (/ 1 (* (- 1 (log (/ 1 N))) (pow N 3))) (* 5.551115123125783e-17 (/ (log (/ 1 N)) (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3))))))) (cbrt (fma 0.3333333333333333 (/ 1 (* (- 1 (log (/ 1 N))) (pow N 3))) (* 5.551115123125783e-17 (/ (log (/ 1 N)) (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3)))))) (- (* (cbrt (fma 5.551115123125783e-17 (/ 1 (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3))) (fma 0.3333333333333333 (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3))) (* 0.5 (/ 1 (pow N 2)))))) (* (cbrt (fma 5.551115123125783e-17 (/ 1 (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3))) (fma 0.3333333333333333 (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3))) (* 0.5 (/ 1 (pow N 2)))))) (cbrt (fma 5.551115123125783e-17 (/ 1 (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3))) (fma 0.3333333333333333 (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3))) (* 0.5 (/ 1 (pow N 2)))))))))) (fma (- (cbrt (fma 5.551115123125783e-17 (/ 1 (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3))) (fma 0.3333333333333333 (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3))) (* 0.5 (/ 1 (pow N 2))))))) (* (cbrt (fma 5.551115123125783e-17 (/ 1 (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3))) (fma 0.3333333333333333 (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3))) (* 0.5 (/ 1 (pow N 2)))))) (cbrt (fma 5.551115123125783e-17 (/ 1 (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3))) (fma 0.3333333333333333 (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3))) (* 0.5 (/ 1 (pow N 2))))))) (* (cbrt (fma 5.551115123125783e-17 (/ 1 (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3))) (fma 0.3333333333333333 (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3))) (* 0.5 (/ 1 (pow N 2)))))) (* (cbrt (fma 5.551115123125783e-17 (/ 1 (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3))) (fma 0.3333333333333333 (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3))) (* 0.5 (/ 1 (pow N 2)))))) (cbrt (fma 5.551115123125783e-17 (/ 1 (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3))) (fma 0.3333333333333333 (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3))) (* 0.5 (/ 1 (pow N 2))))))))) (fma (* (cbrt (fma 0.3333333333333333 (/ 1 (* (- 1 (log (/ 1 N))) (pow N 3))) (* 5.551115123125783e-17 (/ (log (/ 1 N)) (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3)))))) (cbrt (fma 0.3333333333333333 (/ 1 (* (- 1 (log (/ 1 N))) (pow N 3))) (* 5.551115123125783e-17 (/ (log (/ 1 N)) (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3))))))) (cbrt (fma 0.3333333333333333 (/ 1 (* (- 1 (log (/ 1 N))) (pow N 3))) (* 5.551115123125783e-17 (/ (log (/ 1 N)) (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3)))))) (- (* (sqrt (fma 5.551115123125783e-17 (/ 1 (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3))) (fma 0.3333333333333333 (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3))) (* 0.5 (/ 1 (pow N 2)))))) (sqrt (fma 5.551115123125783e-17 (/ 1 (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3))) (fma 0.3333333333333333 (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3))) (* 0.5 (/ 1 (pow N 2))))))))) (fma (- (sqrt (fma 5.551115123125783e-17 (/ 1 (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3))) (fma 0.3333333333333333 (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3))) (* 0.5 (/ 1 (pow N 2))))))) (sqrt (fma 5.551115123125783e-17 (/ 1 (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3))) (fma 0.3333333333333333 (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3))) (* 0.5 (/ 1 (pow N 2)))))) (* (sqrt (fma 5.551115123125783e-17 (/ 1 (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3))) (fma 0.3333333333333333 (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3))) (* 0.5 (/ 1 (pow N 2)))))) (sqrt (fma 5.551115123125783e-17 (/ 1 (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3))) (fma 0.3333333333333333 (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3))) (* 0.5 (/ 1 (pow N 2)))))))) (fma (* (cbrt (fma 0.3333333333333333 (/ 1 (* (- 1 (log (/ 1 N))) (pow N 3))) (* 5.551115123125783e-17 (/ (log (/ 1 N)) (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3)))))) (cbrt (fma 0.3333333333333333 (/ 1 (* (- 1 (log (/ 1 N))) (pow N 3))) (* 5.551115123125783e-17 (/ (log (/ 1 N)) (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3))))))) (cbrt (fma 0.3333333333333333 (/ 1 (* (- 1 (log (/ 1 N))) (pow N 3))) (* 5.551115123125783e-17 (/ (log (/ 1 N)) (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3)))))) (- (* (fma 5.551115123125783e-17 (/ 1 (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3))) (fma 0.3333333333333333 (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3))) (* 0.5 (/ 1 (pow N 2))))) 1))) (fma (- (fma 5.551115123125783e-17 (/ 1 (* (pow (- 1 (log (/ 1 N))) 3) (pow N 3))) (fma 0.3333333333333333 (/ (log (/ 1 N)) (* (- 1 (log (/ 1 N))) (pow N 3))) (* 0.5 (/ 1 (pow N 2)))))) 1 (* (fma 5.551115123125783e-17 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N))) (/ (/ 0.5 N) N)) (fma 0.3333333333333333 (/ (/ (log (/ 1 N)) (pow N 3)) (+ 1 (log N))) (/ (/ 0.5 N) N)) (fma 0.3333333333333333 (+ (/ (log -1) (* (pow N 3) (- 1 (+ (log -1) (log (/ -1 N)))))) (/ (log (/ -1 N)) (* (pow N 3) (- 1 (+ (log -1) (log (/ -1 N))))))) (/ (/ 0.5 N) N)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (pow (+ 1 (log N)) 3) (pow (+ 1 (log N)) 3) (pow (- 1 (+ (log -1) (log (/ -1 N)))) 3) 3.427 * * * [progress]: adding candidates to table 3.965 * [progress]: [Phase 3 of 3] Extracting. 3.965 * * [regime]: Finding splitpoints for: (# #) 3.966 * * * [regime-changes]: Trying 1 branch expressions: (N) 3.966 * * * * [regimes]: Trying to branch on N from (# #) 3.987 * * * [regime]: Found split indices: #