5.135 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.044 * * * [progress]: [2/2] Setting up program. 0.046 * [progress]: [Phase 2 of 3] Improving. 0.047 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.047 * [simplify]: Sending expressions to egg_math: (- (log (+ h0 h1)) (log h0)) 0.049 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.050 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.052 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.052 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.052 * * [progress]: iteration 1 / 4 0.052 * * * [progress]: picking best candidate 0.054 * * * * [pick]: Picked # 0.054 * * * [progress]: localizing error 0.061 * * * [progress]: generating rewritten candidates 0.061 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.066 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.081 * * * [progress]: generating series expansions 0.081 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.081 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.081 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.081 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.081 * [taylor]: Taking taylor expansion of N in N 0.081 * [taylor]: Taking taylor expansion of 1.0 in N 0.082 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.082 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.082 * [taylor]: Taking taylor expansion of N in N 0.082 * [taylor]: Taking taylor expansion of 1.0 in N 0.095 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.095 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.095 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.095 * [taylor]: Taking taylor expansion of N in N 0.095 * [taylor]: Taking taylor expansion of 1.0 in N 0.096 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.096 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.096 * [taylor]: Taking taylor expansion of N in N 0.096 * [taylor]: Taking taylor expansion of 1.0 in N 0.113 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.113 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.113 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.113 * [taylor]: Taking taylor expansion of 1.0 in N 0.113 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.113 * [taylor]: Taking taylor expansion of N in N 0.114 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.114 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.114 * [taylor]: Taking taylor expansion of 1.0 in N 0.114 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.114 * [taylor]: Taking taylor expansion of N in N 0.128 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.128 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.128 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.128 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.128 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.128 * [taylor]: Taking taylor expansion of N in N 0.128 * [taylor]: Taking taylor expansion of 1.0 in N 0.128 * [taylor]: Taking taylor expansion of (log N) in N 0.128 * [taylor]: Taking taylor expansion of N in N 0.129 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.129 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.129 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.129 * [taylor]: Taking taylor expansion of N in N 0.129 * [taylor]: Taking taylor expansion of 1.0 in N 0.129 * [taylor]: Taking taylor expansion of (log N) in N 0.129 * [taylor]: Taking taylor expansion of N in N 0.147 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.147 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.147 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.147 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.147 * [taylor]: Taking taylor expansion of N in N 0.147 * [taylor]: Taking taylor expansion of 1.0 in N 0.147 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.147 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.147 * [taylor]: Taking taylor expansion of N in N 0.148 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.148 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.148 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.148 * [taylor]: Taking taylor expansion of N in N 0.148 * [taylor]: Taking taylor expansion of 1.0 in N 0.149 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.149 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.149 * [taylor]: Taking taylor expansion of N in N 0.179 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.179 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.179 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.179 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.179 * [taylor]: Taking taylor expansion of 1.0 in N 0.179 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.179 * [taylor]: Taking taylor expansion of N in N 0.180 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.180 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.180 * [taylor]: Taking taylor expansion of -1 in N 0.180 * [taylor]: Taking taylor expansion of N in N 0.180 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.180 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.180 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.180 * [taylor]: Taking taylor expansion of 1.0 in N 0.180 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.180 * [taylor]: Taking taylor expansion of N in N 0.181 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.181 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.181 * [taylor]: Taking taylor expansion of -1 in N 0.181 * [taylor]: Taking taylor expansion of N in N 0.221 * * * [progress]: simplifying candidates 0.222 * [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)))) 0.223 * [simplify]: Sending expressions to egg_math: (expm1 (log (+ h0 h1))) (log1p (log (+ h0 h1))) (log (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (log (cbrt (+ h0 h1))) (log (sqrt (+ h0 h1))) (log (sqrt (+ h0 h1))) (log 1) (log (+ h0 h1)) (log 1) (log (+ h0 h1)) (log (+ (pow h0 3) (pow h1 3))) (log (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (log (- (* h0 h0) (* h1 h1))) (log (- h0 h1)) (log (+ h0 h1)) (log (log (+ h0 h1))) (exp (log (+ h0 h1))) (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (* (* (log (+ h0 h1)) (log (+ h0 h1))) (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (fma 1 (log (+ h0 h1)) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (fma 1 (log (+ h0 h1)) (- (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0)))))) (fma (- (cbrt (log h0))) (* (cbrt (log h0)) (cbrt (log h0))) (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0))))) (fma 1 (log (+ h0 h1)) (- (* (sqrt (log h0)) (sqrt (log h0))))) (fma (- (sqrt (log h0))) (sqrt (log h0)) (* (sqrt (log h0)) (sqrt (log h0)))) (fma 1 (log (+ h0 h1)) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (fma (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (fma (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (- (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0)))))) (fma (- (cbrt (log h0))) (* (cbrt (log h0)) (cbrt (log h0))) (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0))))) (fma (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (- (* (sqrt (log h0)) (sqrt (log h0))))) (fma (- (sqrt (log h0))) (sqrt (log h0)) (* (sqrt (log h0)) (sqrt (log h0)))) (fma (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (fma (sqrt (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (fma (sqrt (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (- (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0)))))) (fma (- (cbrt (log h0))) (* (cbrt (log h0)) (cbrt (log h0))) (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0))))) (fma (sqrt (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (- (* (sqrt (log h0)) (sqrt (log h0))))) (fma (- (sqrt (log h0))) (sqrt (log h0)) (* (sqrt (log h0)) (sqrt (log h0)))) (fma (sqrt (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (fma 1 (log (+ h0 h1)) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (fma 1 (log (+ h0 h1)) (- (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0)))))) (fma (- (cbrt (log h0))) (* (cbrt (log h0)) (cbrt (log h0))) (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0))))) (fma 1 (log (+ h0 h1)) (- (* (sqrt (log h0)) (sqrt (log h0))))) (fma (- (sqrt (log h0))) (sqrt (log h0)) (* (sqrt (log h0)) (sqrt (log h0)))) (fma 1 (log (+ h0 h1)) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (expm1 (- (log (+ h0 h1)) (log h0))) (log1p (- (log (+ h0 h1)) (log h0))) (- (log h0)) (- (log h0)) (- (log h0)) (- (log h0)) (/ (+ h0 h1) h0) (log (- (log (+ h0 h1)) (log h0))) (exp (- (log (+ h0 h1)) (log h0))) (* (cbrt (- (log (+ h0 h1)) (log h0))) (cbrt (- (log (+ h0 h1)) (log h0)))) (cbrt (- (log (+ h0 h1)) (log h0))) (* (* (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0))) (- (log (+ h0 h1)) (log h0))) (sqrt (- (log (+ h0 h1)) (log h0))) (sqrt (- (log (+ h0 h1)) (log h0))) (- (pow (log (+ h0 h1)) 3) (pow (log h0) 3)) (+ (* (log (+ h0 h1)) (log (+ h0 h1))) (+ (* (log h0) (log h0)) (* (log (+ h0 h1)) (log h0)))) (- (log h0)) (- (* (log (+ h0 h1)) (log (+ h0 h1))) (* (log h0) (log h0))) (+ (log (+ h0 h1)) (log h0)) (+ (sqrt (log (+ h0 h1))) (sqrt (log h0))) (- (sqrt (log (+ h0 h1))) (sqrt (log h0))) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log (* (cbrt h0) (cbrt h0)))) (- (log (+ h0 h1)) (log (sqrt h0))) (- (log (+ h0 h1)) (log 1)) (- (log (cbrt (+ h0 h1))) (log h0)) (- (log (sqrt (+ h0 h1))) (log h0)) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0)) (+ (log (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (log h0)) (+ (log (- h0 h1)) (log h0)) (- (log h0)) (- (+ (* h1 h0) (log h1)) (* 1/2 (/ (pow h0 2) (pow h1 2)))) (- (* h1 (/ 1 h0)) (+ (* h2 (/ 1 (pow h0 2))) (log (/ 1 h0)))) (- (+ (* h1 (/ 1 h0)) (log -1)) (+ (* h2 (/ 1 (pow h0 2))) (log (/ -1 h0)))) (- (+ (* h1 h0) (log h1)) (+ (* 1/2 (/ (pow h0 2) (pow h1 2))) (log h0))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h2 (/ 1 (pow h0 2)))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h2 (/ 1 (pow h0 2)))) 0.227 * * [simplify]: iteration 0 : 277 enodes (cost 598 ) 0.232 * * [simplify]: iteration 1 : 837 enodes (cost 444 ) 0.248 * * [simplify]: iteration 2 : 3748 enodes (cost 347 ) 0.343 * * [simplify]: iteration 3 : 5001 enodes (cost 345 ) 0.345 * [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)) 0.345 * * * [progress]: adding candidates to table 0.478 * * [progress]: iteration 2 / 4 0.478 * * * [progress]: picking best candidate 0.487 * * * * [pick]: Picked # 0.487 * * * [progress]: localizing error 0.492 * * * [progress]: generating rewritten candidates 0.492 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.498 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.521 * * * [progress]: generating series expansions 0.521 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.521 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.521 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.521 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.521 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.521 * [taylor]: Taking taylor expansion of N in N 0.521 * [taylor]: Taking taylor expansion of 1.0 in N 0.521 * [taylor]: Taking taylor expansion of N in N 0.522 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.522 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.522 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.522 * [taylor]: Taking taylor expansion of N in N 0.522 * [taylor]: Taking taylor expansion of 1.0 in N 0.522 * [taylor]: Taking taylor expansion of N in N 0.536 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.536 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.536 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.536 * [taylor]: Taking taylor expansion of N in N 0.536 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.536 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.536 * [taylor]: Taking taylor expansion of N in N 0.536 * [taylor]: Taking taylor expansion of 1.0 in N 0.538 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.538 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.538 * [taylor]: Taking taylor expansion of N in N 0.538 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.538 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.538 * [taylor]: Taking taylor expansion of N in N 0.538 * [taylor]: Taking taylor expansion of 1.0 in N 0.565 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.565 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.565 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.565 * [taylor]: Taking taylor expansion of -1 in N 0.565 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.565 * [taylor]: Taking taylor expansion of N in N 0.565 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.565 * [taylor]: Taking taylor expansion of 1.0 in N 0.565 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.565 * [taylor]: Taking taylor expansion of N in N 0.568 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.568 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.568 * [taylor]: Taking taylor expansion of -1 in N 0.568 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.568 * [taylor]: Taking taylor expansion of N in N 0.568 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.568 * [taylor]: Taking taylor expansion of 1.0 in N 0.568 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.568 * [taylor]: Taking taylor expansion of N in N 0.606 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.606 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.607 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.607 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.607 * [taylor]: Taking taylor expansion of N in N 0.607 * [taylor]: Taking taylor expansion of 1.0 in N 0.607 * [taylor]: Taking taylor expansion of N in N 0.607 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.607 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.607 * [taylor]: Taking taylor expansion of N in N 0.607 * [taylor]: Taking taylor expansion of 1.0 in N 0.607 * [taylor]: Taking taylor expansion of N in N 0.614 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.614 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.614 * [taylor]: Taking taylor expansion of N in N 0.614 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.614 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.614 * [taylor]: Taking taylor expansion of N in N 0.614 * [taylor]: Taking taylor expansion of 1.0 in N 0.614 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.614 * [taylor]: Taking taylor expansion of N in N 0.614 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.614 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.614 * [taylor]: Taking taylor expansion of N in N 0.614 * [taylor]: Taking taylor expansion of 1.0 in N 0.628 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.628 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.628 * [taylor]: Taking taylor expansion of -1 in N 0.628 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.628 * [taylor]: Taking taylor expansion of N in N 0.628 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.628 * [taylor]: Taking taylor expansion of 1.0 in N 0.628 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.628 * [taylor]: Taking taylor expansion of N in N 0.629 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.629 * [taylor]: Taking taylor expansion of -1 in N 0.629 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.629 * [taylor]: Taking taylor expansion of N in N 0.629 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.629 * [taylor]: Taking taylor expansion of 1.0 in N 0.629 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.629 * [taylor]: Taking taylor expansion of N in N 0.652 * * * [progress]: simplifying candidates 0.653 * [simplify]: Simplifying using # : (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ N 1.0) N)) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.654 * [simplify]: Sending expressions to egg_math: (expm1 (log (/ (+ h0 h1) h0))) (log1p (log (/ (+ h0 h1) h0))) (log (* (cbrt (/ (+ h0 h1) h0)) (cbrt (/ (+ h0 h1) h0)))) (log (cbrt (/ (+ h0 h1) h0))) (log (sqrt (/ (+ h0 h1) h0))) (log (sqrt (/ (+ h0 h1) h0))) (log (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h0) (cbrt h0)))) (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt h0))) (log (/ (cbrt (+ h0 h1)) (sqrt h0))) (log (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1)) (log (/ (cbrt (+ h0 h1)) h0)) (log (/ (sqrt (+ h0 h1)) (* (cbrt h0) (cbrt h0)))) (log (/ (sqrt (+ h0 h1)) (cbrt h0))) (log (/ (sqrt (+ h0 h1)) (sqrt h0))) (log (/ (sqrt (+ h0 h1)) (sqrt h0))) (log (/ (sqrt (+ h0 h1)) 1)) (log (/ (sqrt (+ h0 h1)) h0)) (log (/ 1 (* (cbrt h0) (cbrt h0)))) (log (/ (+ h0 h1) (cbrt h0))) (log (/ 1 (sqrt h0))) (log (/ (+ h0 h1) (sqrt h0))) (log (/ 1 1)) (log (/ (+ h0 h1) h0)) (log (/ 1 (* (cbrt h0) (cbrt h0)))) (log (/ (+ h0 h1) (cbrt h0))) (log (/ 1 (sqrt h0))) (log (/ (+ h0 h1) (sqrt h0))) (log (/ 1 1)) (log (/ (+ h0 h1) h0)) (log 1) (log (/ (+ h0 h1) h0)) (log (+ h0 h1)) (log (/ 1 h0)) (log (+ h0 h1)) (log h0) (log (/ (+ h0 h1) h0)) (log (log (/ (+ h0 h1) h0))) (exp (log (/ (+ h0 h1) h0))) (* (cbrt (log (/ (+ h0 h1) h0))) (cbrt (log (/ (+ h0 h1) h0)))) (cbrt (log (/ (+ h0 h1) h0))) (* (* (log (/ (+ h0 h1) h0)) (log (/ (+ h0 h1) h0))) (log (/ (+ h0 h1) h0))) (sqrt (log (/ (+ h0 h1) h0))) (sqrt (log (/ (+ h0 h1) h0))) (expm1 (/ (+ h0 h1) h0)) (log1p (/ (+ h0 h1) h0)) (- (log (+ h0 h1)) (log h0)) (log (/ (+ h0 h1) h0)) (exp (/ (+ h0 h1) h0)) (/ (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* h0 h0) h0)) (* (cbrt (/ (+ h0 h1) h0)) (cbrt (/ (+ h0 h1) h0))) (cbrt (/ (+ h0 h1) h0)) (* (* (/ (+ h0 h1) h0) (/ (+ h0 h1) h0)) (/ (+ h0 h1) h0)) (sqrt (/ (+ h0 h1) h0)) (sqrt (/ (+ h0 h1) h0)) (- (+ h0 h1)) (- h0) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h0) (cbrt h0))) (/ (cbrt (+ h0 h1)) (cbrt h0)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt h0)) (/ (cbrt (+ h0 h1)) (sqrt h0)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1) (/ (cbrt (+ h0 h1)) h0) (/ (sqrt (+ h0 h1)) (* (cbrt h0) (cbrt h0))) (/ (sqrt (+ h0 h1)) (cbrt h0)) (/ (sqrt (+ h0 h1)) (sqrt h0)) (/ (sqrt (+ h0 h1)) (sqrt h0)) (/ (sqrt (+ h0 h1)) 1) (/ (sqrt (+ h0 h1)) h0) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (+ h0 h1) (cbrt h0)) (/ 1 (sqrt h0)) (/ (+ h0 h1) (sqrt h0)) (/ 1 1) (/ (+ h0 h1) h0) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (+ h0 h1) (cbrt h0)) (/ 1 (sqrt h0)) (/ (+ h0 h1) (sqrt h0)) (/ 1 1) (/ (+ h0 h1) h0) (/ 1 h0) (/ h0 (+ h0 h1)) (/ (+ h0 h1) (* (cbrt h0) (cbrt h0))) (/ (+ h0 h1) (sqrt h0)) (/ (+ h0 h1) 1) (/ h0 (cbrt (+ h0 h1))) (/ h0 (sqrt (+ h0 h1))) (/ h0 (+ h0 h1)) (/ h0 (+ h0 h1)) (* h0 (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* h0 (- h0 h1)) (- (+ (* h1 h0) (log h1)) (+ (* 1/2 (/ (pow h0 2) (pow h1 2))) (log h0))) (- (+ (* h2 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h3 (/ 1 (pow h0 2)))) (- (+ (* h2 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h3 (/ 1 (pow h0 2)))) (+ (* h1 (/ 1 h0)) 1) (+ (* h1 (/ 1 h0)) 1) (+ (* h1 (/ 1 h0)) 1) 0.658 * * [simplify]: iteration 0 : 243 enodes (cost 383 ) 0.662 * * [simplify]: iteration 1 : 808 enodes (cost 358 ) 0.677 * * [simplify]: iteration 2 : 3663 enodes (cost 347 ) 0.757 * * [simplify]: iteration 3 : 5001 enodes (cost 344 ) 0.759 * [simplify]: Simplified to: (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (fma 2 (log (cbrt (+ N 1.0))) (log (/ 1 (sqrt N)))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (+ N 1.0) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (fma N (* 1.0 (- 1.0 N)) (pow N 3)) (* N (- N 1.0)) (fma 1.0 N (- (log 1.0) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N)))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3))) (fma 1.0 (/ 1 N) 1) (fma 1.0 (/ 1 N) 1) (fma 1.0 (/ 1 N) 1) 0.760 * * * [progress]: adding candidates to table 0.890 * * [progress]: iteration 3 / 4 0.890 * * * [progress]: picking best candidate 0.902 * * * * [pick]: Picked # 0.902 * * * [progress]: localizing error 0.910 * * * [progress]: generating rewritten candidates 0.910 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.917 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.924 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.933 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.950 * * * [progress]: generating series expansions 0.950 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.950 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 0.950 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.950 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.950 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.950 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.951 * [taylor]: Taking taylor expansion of N in N 0.951 * [taylor]: Taking taylor expansion of 1.0 in N 0.951 * [taylor]: Taking taylor expansion of N in N 0.953 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.953 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.953 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.953 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.953 * [taylor]: Taking taylor expansion of N in N 0.953 * [taylor]: Taking taylor expansion of 1.0 in N 0.953 * [taylor]: Taking taylor expansion of N in N 0.973 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 0.973 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.973 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.973 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.973 * [taylor]: Taking taylor expansion of N in N 0.973 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.973 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.973 * [taylor]: Taking taylor expansion of N in N 0.973 * [taylor]: Taking taylor expansion of 1.0 in N 0.978 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.978 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.978 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.978 * [taylor]: Taking taylor expansion of N in N 0.978 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.978 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.978 * [taylor]: Taking taylor expansion of N in N 0.979 * [taylor]: Taking taylor expansion of 1.0 in N 1.016 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 1.016 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.016 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.017 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.017 * [taylor]: Taking taylor expansion of -1 in N 1.017 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.017 * [taylor]: Taking taylor expansion of N in N 1.017 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.017 * [taylor]: Taking taylor expansion of 1.0 in N 1.017 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.017 * [taylor]: Taking taylor expansion of N in N 1.024 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.024 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.024 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.024 * [taylor]: Taking taylor expansion of -1 in N 1.024 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.024 * [taylor]: Taking taylor expansion of N in N 1.024 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.024 * [taylor]: Taking taylor expansion of 1.0 in N 1.024 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.024 * [taylor]: Taking taylor expansion of N in N 1.074 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.074 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 1.074 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 1.074 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.074 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.074 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.074 * [taylor]: Taking taylor expansion of N in N 1.074 * [taylor]: Taking taylor expansion of 1.0 in N 1.075 * [taylor]: Taking taylor expansion of N in N 1.076 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 1.076 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.076 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.076 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.076 * [taylor]: Taking taylor expansion of N in N 1.076 * [taylor]: Taking taylor expansion of 1.0 in N 1.077 * [taylor]: Taking taylor expansion of N in N 1.096 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 1.096 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 1.096 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.096 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.096 * [taylor]: Taking taylor expansion of N in N 1.096 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.096 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.096 * [taylor]: Taking taylor expansion of N in N 1.096 * [taylor]: Taking taylor expansion of 1.0 in N 1.101 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 1.101 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.101 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.101 * [taylor]: Taking taylor expansion of N in N 1.101 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.101 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.101 * [taylor]: Taking taylor expansion of N in N 1.101 * [taylor]: Taking taylor expansion of 1.0 in N 1.146 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 1.147 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.147 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.147 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.147 * [taylor]: Taking taylor expansion of -1 in N 1.147 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.147 * [taylor]: Taking taylor expansion of N in N 1.147 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.147 * [taylor]: Taking taylor expansion of 1.0 in N 1.147 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.147 * [taylor]: Taking taylor expansion of N in N 1.154 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.154 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.154 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.154 * [taylor]: Taking taylor expansion of -1 in N 1.155 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.155 * [taylor]: Taking taylor expansion of N in N 1.155 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.155 * [taylor]: Taking taylor expansion of 1.0 in N 1.155 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.155 * [taylor]: Taking taylor expansion of N in N 1.197 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.197 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 1.197 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.197 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.197 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.197 * [taylor]: Taking taylor expansion of N in N 1.197 * [taylor]: Taking taylor expansion of 1.0 in N 1.197 * [taylor]: Taking taylor expansion of N in N 1.199 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.199 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.199 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.199 * [taylor]: Taking taylor expansion of N in N 1.199 * [taylor]: Taking taylor expansion of 1.0 in N 1.199 * [taylor]: Taking taylor expansion of N in N 1.206 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.206 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.206 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.206 * [taylor]: Taking taylor expansion of N in N 1.206 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.206 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.206 * [taylor]: Taking taylor expansion of N in N 1.206 * [taylor]: Taking taylor expansion of 1.0 in N 1.218 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.218 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.218 * [taylor]: Taking taylor expansion of N in N 1.218 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.218 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.218 * [taylor]: Taking taylor expansion of N in N 1.218 * [taylor]: Taking taylor expansion of 1.0 in N 1.226 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.227 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.227 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.227 * [taylor]: Taking taylor expansion of -1 in N 1.227 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.227 * [taylor]: Taking taylor expansion of N in N 1.227 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.227 * [taylor]: Taking taylor expansion of 1.0 in N 1.227 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.227 * [taylor]: Taking taylor expansion of N in N 1.234 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.234 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.234 * [taylor]: Taking taylor expansion of -1 in N 1.234 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.234 * [taylor]: Taking taylor expansion of N in N 1.234 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.234 * [taylor]: Taking taylor expansion of 1.0 in N 1.234 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.234 * [taylor]: Taking taylor expansion of N in N 1.246 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.246 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 1.246 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.246 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.246 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.246 * [taylor]: Taking taylor expansion of N in N 1.246 * [taylor]: Taking taylor expansion of 1.0 in N 1.246 * [taylor]: Taking taylor expansion of N in N 1.248 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.248 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.248 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.248 * [taylor]: Taking taylor expansion of N in N 1.248 * [taylor]: Taking taylor expansion of 1.0 in N 1.248 * [taylor]: Taking taylor expansion of N in N 1.255 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.255 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.255 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.255 * [taylor]: Taking taylor expansion of N in N 1.255 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.255 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.255 * [taylor]: Taking taylor expansion of N in N 1.256 * [taylor]: Taking taylor expansion of 1.0 in N 1.260 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.260 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.260 * [taylor]: Taking taylor expansion of N in N 1.260 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.260 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.260 * [taylor]: Taking taylor expansion of N in N 1.261 * [taylor]: Taking taylor expansion of 1.0 in N 1.269 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.269 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.269 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.269 * [taylor]: Taking taylor expansion of -1 in N 1.269 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.269 * [taylor]: Taking taylor expansion of N in N 1.269 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.269 * [taylor]: Taking taylor expansion of 1.0 in N 1.269 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.269 * [taylor]: Taking taylor expansion of N in N 1.277 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.277 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.277 * [taylor]: Taking taylor expansion of -1 in N 1.277 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.277 * [taylor]: Taking taylor expansion of N in N 1.277 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.277 * [taylor]: Taking taylor expansion of 1.0 in N 1.277 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.277 * [taylor]: Taking taylor expansion of N in N 1.289 * * * [progress]: simplifying candidates 1.291 * [simplify]: Simplifying using # : (expm1 (log (sqrt (/ (+ N 1.0) N)))) (log1p (log (sqrt (/ (+ N 1.0) N)))) (log (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (sqrt (/ (cbrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) 1))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt 1)) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log 1) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt N)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (/ (+ N 1.0) N)))) (exp (log (sqrt (/ (+ N 1.0) N)))) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (* (* (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (expm1 (log (sqrt (/ (+ N 1.0) N)))) (log1p (log (sqrt (/ (+ N 1.0) N)))) (log (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (sqrt (/ (cbrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) 1))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt 1)) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log 1) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt N)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (/ (+ N 1.0) N)))) (exp (log (sqrt (/ (+ N 1.0) N)))) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (* (* (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (expm1 (sqrt (/ (+ N 1.0) N))) (log1p (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (exp (sqrt (/ (+ N 1.0) N))) (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))) (cbrt (sqrt (/ (+ N 1.0) N))) (* (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))) (sqrt (/ (+ N 1.0) N))) (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (sqrt (/ (cbrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) 1)) (sqrt (/ (sqrt (+ N 1.0)) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ N 1.0) N)) (sqrt 1) (sqrt (/ (+ N 1.0) N)) (sqrt (+ N 1.0)) (sqrt (/ 1 N)) (sqrt (+ N 1.0)) (sqrt N) (/ 1 2) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (expm1 (sqrt (/ (+ N 1.0) N))) (log1p (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (exp (sqrt (/ (+ N 1.0) N))) (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))) (cbrt (sqrt (/ (+ N 1.0) N))) (* (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))) (sqrt (/ (+ N 1.0) N))) (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (sqrt (/ (cbrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) 1)) (sqrt (/ (sqrt (+ N 1.0)) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ N 1.0) N)) (sqrt 1) (sqrt (/ (+ N 1.0) N)) (sqrt (+ N 1.0)) (sqrt (/ 1 N)) (sqrt (+ N 1.0)) (sqrt N) (/ 1 2) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (- (log +nan.0) (+ (* +nan.0 (pow N 2)) (- (* +nan.0 N)))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) (- (log +nan.0) (+ (* +nan.0 (pow N 2)) (- (* +nan.0 N)))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 N) (- +nan.0))))) (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 N) (- +nan.0))))) (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 1.291 * [simplify]: Sending expressions to egg_math: (expm1 (log (sqrt (/ (+ h0 h1) h0)))) (log1p (log (sqrt (/ (+ h0 h1) h0)))) (log (* (cbrt (sqrt (/ (+ h0 h1) h0))) (cbrt (sqrt (/ (+ h0 h1) h0))))) (log (cbrt (sqrt (/ (+ h0 h1) h0)))) (log (sqrt (* (cbrt (/ (+ h0 h1) h0)) (cbrt (/ (+ h0 h1) h0))))) (log (sqrt (cbrt (/ (+ h0 h1) h0)))) (log (sqrt (sqrt (/ (+ h0 h1) h0)))) (log (sqrt (sqrt (/ (+ h0 h1) h0)))) (log (sqrt (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h0) (cbrt h0))))) (log (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0)))) (log (sqrt (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt h0)))) (log (sqrt (/ (cbrt (+ h0 h1)) (sqrt h0)))) (log (sqrt (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1))) (log (sqrt (/ 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[simplify]: iteration 0 : 205 enodes (cost 1000 ) 1.300 * * [simplify]: iteration 1 : 482 enodes (cost 936 ) 1.309 * * [simplify]: iteration 2 : 1903 enodes (cost 904 ) 1.349 * * [simplify]: iteration 3 : 5001 enodes (cost 886 ) 1.359 * [simplify]: Simplified to: (expm1 (log (sqrt (/ (+ N 1.0) N)))) (log1p (log (sqrt (/ (+ N 1.0) N)))) (* 2 (log (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (sqrt (/ (cbrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt 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1.0)) (sqrt (/ 1 N)) (sqrt (+ N 1.0)) (sqrt N) 1/2 (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (expm1 (sqrt (/ (+ N 1.0) N))) (log1p (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (exp (sqrt (/ (+ N 1.0) N))) (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))) (cbrt (sqrt (/ (+ N 1.0) N))) (pow (sqrt (/ (+ N 1.0) N)) 3) (fabs (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (fabs (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))) (fabs (cbrt (+ N 1.0))) (sqrt (/ (cbrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) 1)) (sqrt (/ (sqrt (+ N 1.0)) N)) (fabs (/ 1 (cbrt N))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) 1 (sqrt (/ (+ N 1.0) N)) (fabs (/ 1 (cbrt N))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) 1 (sqrt (/ (+ N 1.0) N)) 1 (sqrt (/ (+ N 1.0) N)) (sqrt (+ N 1.0)) (sqrt (/ 1 N)) (sqrt (+ N 1.0)) (sqrt N) 1/2 (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (fma (- +nan.0) (- (pow N 2) N) (log +nan.0)) (fma (/ 1 N) (- 0.5 (/ 0.25 N)) (/ 0.16666666666666666 (pow N 3))) (fma (/ 1 N) (- 0.5 (/ 0.25 N)) (/ 0.16666666666666666 (pow N 3))) (fma (- +nan.0) (- (pow N 2) N) (log +nan.0)) (fma (/ 1 N) (- 0.5 (/ 0.25 N)) (/ 0.16666666666666666 (pow N 3))) (fma (/ 1 N) (- 0.5 (/ 0.25 N)) (/ 0.16666666666666666 (pow N 3))) (fma (- (pow N 2)) +nan.0 (fma +nan.0 N (- +nan.0))) (fma (/ 1 N) (- 0.5 (/ 0.125 N)) 1) (fma (/ 1 N) (- 0.5 (/ 0.125 N)) 1) (fma (- (pow N 2)) +nan.0 (fma +nan.0 N (- +nan.0))) (fma (/ 1 N) (- 0.5 (/ 0.125 N)) 1) (fma (/ 1 N) (- 0.5 (/ 0.125 N)) 1) 1.360 * * * [progress]: adding candidates to table 1.703 * * [progress]: iteration 4 / 4 1.704 * * * [progress]: picking best candidate 1.717 * * * * [pick]: Picked # 1.718 * * * [progress]: localizing error 1.739 * * * [progress]: generating rewritten candidates 1.739 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.747 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.765 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.772 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1) 1.835 * * * [progress]: generating series expansions 1.835 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.836 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/6)) in (N) around 0 1.836 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/6)) in N 1.836 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/6) in N 1.836 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ (+ N 1.0) N)))) in N 1.836 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ (+ N 1.0) N))) in N 1.836 * [taylor]: Taking taylor expansion of 1/6 in N 1.836 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.836 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.836 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.836 * [taylor]: Taking taylor expansion of N in N 1.836 * [taylor]: Taking taylor expansion of 1.0 in N 1.836 * [taylor]: Taking taylor expansion of N in N 1.838 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/6)) in N 1.839 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/6) in N 1.839 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ (+ N 1.0) N)))) in N 1.839 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ (+ N 1.0) N))) in N 1.839 * [taylor]: Taking taylor expansion of 1/6 in N 1.839 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.839 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.839 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.839 * [taylor]: Taking taylor expansion of N in N 1.839 * [taylor]: Taking taylor expansion of 1.0 in N 1.839 * [taylor]: Taking taylor expansion of N in N 1.874 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/6)) in (N) around 0 1.875 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/6)) in N 1.875 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/6) in N 1.875 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (* N (+ (/ 1 N) 1.0))))) in N 1.875 * [taylor]: Taking taylor expansion of (* 1/6 (log (* N (+ (/ 1 N) 1.0)))) in N 1.875 * [taylor]: Taking taylor expansion of 1/6 in N 1.875 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.875 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.875 * [taylor]: Taking taylor expansion of N in N 1.875 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.875 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.875 * [taylor]: Taking taylor expansion of N in N 1.875 * [taylor]: Taking taylor expansion of 1.0 in N 1.884 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/6)) in N 1.885 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/6) in N 1.885 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (* N (+ (/ 1 N) 1.0))))) in N 1.885 * [taylor]: Taking taylor expansion of (* 1/6 (log (* N (+ (/ 1 N) 1.0)))) in N 1.885 * [taylor]: Taking taylor expansion of 1/6 in N 1.885 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.885 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.885 * [taylor]: Taking taylor expansion of N in N 1.885 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.885 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.885 * [taylor]: Taking taylor expansion of N in N 1.886 * [taylor]: Taking taylor expansion of 1.0 in N 1.963 * [approximate]: Taking taylor expansion of (log (* (sqrt (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/6))) in (N) around 0 1.963 * [taylor]: Taking taylor expansion of (log (* (sqrt (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/6))) in N 1.964 * [taylor]: Taking taylor expansion of (* (sqrt (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/6)) in N 1.964 * [taylor]: Taking taylor expansion of (sqrt (cbrt -1)) in N 1.964 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.964 * [taylor]: Taking taylor expansion of -1 in N 1.965 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/6) in N 1.966 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (* N (- 1.0 (/ 1 N)))))) in N 1.966 * [taylor]: Taking taylor expansion of (* 1/6 (log (* N (- 1.0 (/ 1 N))))) in N 1.966 * [taylor]: Taking taylor expansion of 1/6 in N 1.966 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.966 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.966 * [taylor]: Taking taylor expansion of N in N 1.966 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.966 * [taylor]: Taking taylor expansion of 1.0 in N 1.966 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.966 * [taylor]: Taking taylor expansion of N in N 1.972 * [taylor]: Taking taylor expansion of (log (* (sqrt (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/6))) in N 1.972 * [taylor]: Taking taylor expansion of (* (sqrt (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/6)) in N 1.973 * [taylor]: Taking taylor expansion of (sqrt (cbrt -1)) in N 1.973 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.973 * [taylor]: Taking taylor expansion of -1 in N 1.974 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/6) in N 1.974 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (* N (- 1.0 (/ 1 N)))))) in N 1.974 * [taylor]: Taking taylor expansion of (* 1/6 (log (* N (- 1.0 (/ 1 N))))) in N 1.974 * [taylor]: Taking taylor expansion of 1/6 in N 1.974 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.974 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.974 * [taylor]: Taking taylor expansion of N in N 1.974 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.974 * [taylor]: Taking taylor expansion of 1.0 in N 1.974 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.974 * [taylor]: Taking taylor expansion of N in N 2.064 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 2.064 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in (N) around 0 2.064 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 2.064 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 2.064 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 2.064 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 2.064 * [taylor]: Taking taylor expansion of 1/3 in N 2.064 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.064 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.064 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.064 * [taylor]: Taking taylor expansion of N in N 2.064 * [taylor]: Taking taylor expansion of 1.0 in N 2.064 * [taylor]: Taking taylor expansion of N in N 2.067 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 2.067 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 2.067 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 2.067 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 2.067 * [taylor]: Taking taylor expansion of 1/3 in N 2.067 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.067 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.067 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.067 * [taylor]: Taking taylor expansion of N in N 2.067 * [taylor]: Taking taylor expansion of 1.0 in N 2.067 * [taylor]: Taking taylor expansion of N in N 2.096 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in (N) around 0 2.096 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 2.096 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 2.096 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 2.096 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 2.096 * [taylor]: Taking taylor expansion of 1/3 in N 2.096 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.096 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.096 * [taylor]: Taking taylor expansion of N in N 2.096 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.096 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.096 * [taylor]: Taking taylor expansion of N in N 2.097 * [taylor]: Taking taylor expansion of 1.0 in N 2.105 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 2.106 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 2.106 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 2.106 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 2.106 * [taylor]: Taking taylor expansion of 1/3 in N 2.106 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.106 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.106 * [taylor]: Taking taylor expansion of N in N 2.106 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.106 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.106 * [taylor]: Taking taylor expansion of N in N 2.106 * [taylor]: Taking taylor expansion of 1.0 in N 2.183 * [approximate]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in (N) around 0 2.183 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 2.183 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 2.183 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.183 * [taylor]: Taking taylor expansion of -1 in N 2.183 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 2.183 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 2.184 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 2.184 * [taylor]: Taking taylor expansion of 1/3 in N 2.184 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 2.184 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.184 * [taylor]: Taking taylor expansion of N in N 2.184 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.184 * [taylor]: Taking taylor expansion of 1.0 in N 2.184 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.184 * [taylor]: Taking taylor expansion of N in N 2.190 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 2.190 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 2.190 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.190 * [taylor]: Taking taylor expansion of -1 in N 2.191 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 2.191 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 2.191 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 2.191 * [taylor]: Taking taylor expansion of 1/3 in N 2.191 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 2.191 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.191 * [taylor]: Taking taylor expansion of N in N 2.191 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.191 * [taylor]: Taking taylor expansion of 1.0 in N 2.191 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.191 * [taylor]: Taking taylor expansion of N in N 2.272 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.272 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 2.272 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 2.272 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 2.272 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.272 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.272 * [taylor]: Taking taylor expansion of N in N 2.272 * [taylor]: Taking taylor expansion of 1.0 in N 2.272 * [taylor]: Taking taylor expansion of N in N 2.274 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 2.274 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 2.274 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.274 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.274 * [taylor]: Taking taylor expansion of N in N 2.274 * [taylor]: Taking taylor expansion of 1.0 in N 2.274 * [taylor]: Taking taylor expansion of N in N 2.294 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 2.294 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 2.294 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 2.294 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.294 * [taylor]: Taking taylor expansion of N in N 2.294 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.294 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.294 * [taylor]: Taking taylor expansion of N in N 2.294 * [taylor]: Taking taylor expansion of 1.0 in N 2.299 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 2.299 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 2.299 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.299 * [taylor]: Taking taylor expansion of N in N 2.299 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.299 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.299 * [taylor]: Taking taylor expansion of N in N 2.300 * [taylor]: Taking taylor expansion of 1.0 in N 2.344 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 2.344 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 2.344 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.344 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.344 * [taylor]: Taking taylor expansion of -1 in N 2.344 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.344 * [taylor]: Taking taylor expansion of N in N 2.344 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.344 * [taylor]: Taking taylor expansion of 1.0 in N 2.344 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.344 * [taylor]: Taking taylor expansion of N in N 2.352 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 2.352 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.352 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.352 * [taylor]: Taking taylor expansion of -1 in N 2.352 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.352 * [taylor]: Taking taylor expansion of N in N 2.352 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.352 * [taylor]: Taking taylor expansion of 1.0 in N 2.352 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.352 * [taylor]: Taking taylor expansion of N in N 2.396 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1) 2.396 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ N 1.0) 2) (pow N 2)) 1/3) in (N) around 0 2.396 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ N 1.0) 2) (pow N 2)) 1/3) in N 2.396 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ N 1.0) 2) (pow N 2))))) in N 2.396 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ N 1.0) 2) (pow N 2)))) in N 2.396 * [taylor]: Taking taylor expansion of 1/3 in N 2.396 * [taylor]: Taking taylor expansion of (log (/ (pow (+ N 1.0) 2) (pow N 2))) in N 2.396 * [taylor]: Taking taylor expansion of (/ (pow (+ N 1.0) 2) (pow N 2)) in N 2.396 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 2.396 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.396 * [taylor]: Taking taylor expansion of N in N 2.396 * [taylor]: Taking taylor expansion of 1.0 in N 2.397 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.397 * [taylor]: Taking taylor expansion of N in N 2.399 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ N 1.0) 2) (pow N 2)) 1/3) in N 2.399 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ N 1.0) 2) (pow N 2))))) in N 2.399 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ N 1.0) 2) (pow N 2)))) in N 2.399 * [taylor]: Taking taylor expansion of 1/3 in N 2.399 * [taylor]: Taking taylor expansion of (log (/ (pow (+ N 1.0) 2) (pow N 2))) in N 2.399 * [taylor]: Taking taylor expansion of (/ (pow (+ N 1.0) 2) (pow N 2)) in N 2.399 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 2.399 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.399 * [taylor]: Taking taylor expansion of N in N 2.399 * [taylor]: Taking taylor expansion of 1.0 in N 2.399 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.399 * [taylor]: Taking taylor expansion of N in N 2.442 * [approximate]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ (/ 1 N) 1.0) 2)) 1/3) in (N) around 0 2.442 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ (/ 1 N) 1.0) 2)) 1/3) in N 2.442 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ (/ 1 N) 1.0) 2))))) in N 2.442 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ (/ 1 N) 1.0) 2)))) in N 2.442 * [taylor]: Taking taylor expansion of 1/3 in N 2.442 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ (/ 1 N) 1.0) 2))) in N 2.442 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ (/ 1 N) 1.0) 2)) in N 2.442 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.443 * [taylor]: Taking taylor expansion of N in N 2.443 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 2.443 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.443 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.443 * [taylor]: Taking taylor expansion of N in N 2.443 * [taylor]: Taking taylor expansion of 1.0 in N 2.451 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ (/ 1 N) 1.0) 2)) 1/3) in N 2.451 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ (/ 1 N) 1.0) 2))))) in N 2.451 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ (/ 1 N) 1.0) 2)))) in N 2.451 * [taylor]: Taking taylor expansion of 1/3 in N 2.451 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ (/ 1 N) 1.0) 2))) in N 2.451 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ (/ 1 N) 1.0) 2)) in N 2.451 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.451 * [taylor]: Taking taylor expansion of N in N 2.451 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 2.451 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.451 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.451 * [taylor]: Taking taylor expansion of N in N 2.452 * [taylor]: Taking taylor expansion of 1.0 in N 2.480 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (* (pow N 2) (pow (- 1.0 (/ 1 N)) 2)) 1/3)) in (N) around 0 2.480 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (* (pow N 2) (pow (- 1.0 (/ 1 N)) 2)) 1/3)) in N 2.480 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 2.480 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.480 * [taylor]: Taking taylor expansion of -1 in N 2.481 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (- 1.0 (/ 1 N)) 2)) 1/3) in N 2.481 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (- 1.0 (/ 1 N)) 2))))) in N 2.481 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (- 1.0 (/ 1 N)) 2)))) in N 2.481 * [taylor]: Taking taylor expansion of 1/3 in N 2.481 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (- 1.0 (/ 1 N)) 2))) in N 2.481 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (- 1.0 (/ 1 N)) 2)) in N 2.481 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.481 * [taylor]: Taking taylor expansion of N in N 2.481 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 2.481 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.481 * [taylor]: Taking taylor expansion of 1.0 in N 2.481 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.481 * [taylor]: Taking taylor expansion of N in N 2.491 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (* (pow N 2) (pow (- 1.0 (/ 1 N)) 2)) 1/3)) in N 2.491 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 2.491 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.491 * [taylor]: Taking taylor expansion of -1 in N 2.492 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (- 1.0 (/ 1 N)) 2)) 1/3) in N 2.492 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (- 1.0 (/ 1 N)) 2))))) in N 2.492 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (- 1.0 (/ 1 N)) 2)))) in N 2.492 * [taylor]: Taking taylor expansion of 1/3 in N 2.492 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (- 1.0 (/ 1 N)) 2))) in N 2.492 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (- 1.0 (/ 1 N)) 2)) in N 2.492 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.492 * [taylor]: Taking taylor expansion of N in N 2.492 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 2.492 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.492 * [taylor]: Taking taylor expansion of 1.0 in N 2.492 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.492 * [taylor]: Taking taylor expansion of N in N 2.546 * * * [progress]: simplifying candidates 2.550 * [simplify]: Simplifying using # : (expm1 (log (sqrt (cbrt (/ (+ N 1.0) N))))) (log1p (log (sqrt (cbrt (/ (+ N 1.0) N))))) (log (* (cbrt (sqrt (cbrt (/ (+ N 1.0) N)))) (cbrt (sqrt (cbrt (/ (+ N 1.0) N)))))) (log (cbrt (sqrt (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))))) (log (sqrt (cbrt (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))))) (log (sqrt (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (sqrt (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))))) (log (sqrt (cbrt (/ (cbrt (+ N 1.0)) (sqrt N))))) (log (sqrt (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)))) (log (sqrt (cbrt (/ (cbrt (+ N 1.0)) N)))) (log (sqrt (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))))) (log (sqrt (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))))) (log (sqrt (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))))) (log (sqrt (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))))) (log (sqrt (cbrt (/ (sqrt (+ N 1.0)) 1)))) (log (sqrt (cbrt (/ (sqrt (+ N 1.0)) N)))) (log (sqrt (cbrt (/ 1 (* (cbrt N) (cbrt N)))))) (log (sqrt (cbrt (/ (+ N 1.0) (cbrt N))))) (log (sqrt (cbrt (/ 1 (sqrt N))))) (log (sqrt (cbrt (/ (+ N 1.0) (sqrt N))))) (log (sqrt (cbrt (/ 1 1)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ 1 (* (cbrt N) (cbrt N)))))) (log (sqrt (cbrt (/ (+ N 1.0) (cbrt N))))) (log (sqrt (cbrt (/ 1 (sqrt N))))) (log (sqrt (cbrt (/ (+ N 1.0) (sqrt N))))) (log (sqrt (cbrt (/ 1 1)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt 1))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (+ N 1.0)))) (log (sqrt (cbrt (/ 1 N)))) (log (sqrt (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))))) (log (sqrt (cbrt (cbrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (cbrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (cbrt (/ (+ N 1.0) N))))) (log (sqrt 1)) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (cbrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (cbrt (/ (+ N 1.0) N))))) (log 1) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (+ N 1.0)))) (log (sqrt (cbrt N))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (/ (+ N 1.0) N)) (log (cbrt (/ (+ N 1.0) N))) (log (log (sqrt (cbrt (/ (+ N 1.0) N))))) (exp (log (sqrt (cbrt (/ (+ N 1.0) N))))) (* (cbrt (log (sqrt (cbrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (cbrt (/ (+ N 1.0) N)))))) (cbrt (log (sqrt (cbrt (/ (+ N 1.0) N))))) (* (* (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (/ (+ N 1.0) N))))) (sqrt (log (sqrt (cbrt (/ (+ N 1.0) N))))) (sqrt (log (sqrt (cbrt (/ (+ N 1.0) N))))) (expm1 (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))))) (log1p (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))))) (log (* (cbrt (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (cbrt (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))))) (log (cbrt (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))))) (log (sqrt (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))))) (log 1) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (sqrt (* (cbrt N) (cbrt N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0))))) (log (sqrt (cbrt N))) (log (sqrt (* (cbrt (+ N 1.0)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (/ (+ N 1.0) N)) (log (cbrt (/ (+ N 1.0) N))) (log (* (/ (+ N 1.0) N) (/ (+ N 1.0) N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (/ (+ N 1.0) N)) (log (cbrt (/ (+ N 1.0) N))) (log (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))))) (exp (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))))) (* (cbrt (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))))) (cbrt (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))))) (cbrt (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))))) (* (* (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))))) (sqrt (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))))) (sqrt (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))))) (expm1 (log (sqrt (/ (+ N 1.0) N)))) (log1p (log (sqrt (/ (+ N 1.0) N)))) (log (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (sqrt (/ (cbrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) 1))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt 1)) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log 1) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt N)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (/ (+ N 1.0) N)))) (exp (log (sqrt (/ (+ N 1.0) N)))) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (* (* (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (expm1 (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log1p (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (+ 1/3 1/3) (+ 1 1) (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (+ 1 1) (+ (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N)))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (exp (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (* (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (* (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)) (* (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))) (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))) (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))) (* (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (* (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (* (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (* (cbrt (/ (cbrt (+ N 1.0)) (sqrt N))) (cbrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (* (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (* (cbrt (/ (cbrt (+ N 1.0)) N)) (cbrt (/ (cbrt (+ N 1.0)) N))) (* (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (* (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (* (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (* (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (* (cbrt (/ (sqrt (+ N 1.0)) 1)) (cbrt (/ (sqrt (+ N 1.0)) 1))) (* (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) N))) (* (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (* (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ (+ N 1.0) (cbrt N)))) (* (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (* (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ (+ N 1.0) (cbrt N)))) (* (cbrt (/ 1 (sqrt N))) (cbrt (/ 1 (sqrt N)))) (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (* (cbrt (/ 1 (sqrt N))) (cbrt (/ 1 (sqrt N)))) (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (* (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (* (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ (+ N 1.0) (cbrt N)))) (* (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (* (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ (+ N 1.0) (cbrt N)))) (* (cbrt (/ 1 (sqrt N))) (cbrt (/ 1 (sqrt N)))) (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (* (cbrt (/ 1 (sqrt N))) (cbrt (/ 1 (sqrt N)))) (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (* (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))) (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N))))) (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))) (* (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N)))) (* (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N)))) (* 1 1) (* (cbrt (/ (+ N 1.0) N)) (cbrt 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N))) (cbrt (/ (+ N 1.0) N))) (* (cbrt (/ (cbrt (+ N 1.0)) N)) (cbrt (/ (+ N 1.0) N))) (* (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (+ N 1.0) N))) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (* (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ (+ N 1.0) N))) (* (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ (+ N 1.0) N))) (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) N))) (pow (sqrt (cbrt (/ (+ N 1.0) N))) 4) (* (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ (+ N 1.0) N))) (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) N))) (pow (sqrt (cbrt (/ (+ N 1.0) N))) 4) (pow (sqrt (cbrt (/ (+ N 1.0) N))) 4) (* (cbrt (/ 1 N)) (cbrt (/ (+ N 1.0) N))) (pow (cbrt (cbrt (/ (+ N 1.0) N))) 4) (pow (sqrt (cbrt (/ (+ N 1.0) N))) 3) (pow (sqrt (cbrt (/ (+ N 1.0) N))) 4) (* (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0))) (* (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0))) (fma N 0.16666666666666666 (- (* 1/6 (log 1.0)) (fma 1/12 (/ (pow N 2) (pow 1.0 2)) (* 1/6 (log N))))) (fma (- 0.08333333333333334) (/ 1 (pow N 2)) (fma 0.05555555555555555 (/ 1 (pow N 3)) (/ 0.16666666666666666 N))) (- (log (* (pow -1 1/6) (sqrt (cbrt -1)))) (- (/ (/ 0.08333333333333334 N) N) (/ 0.16666666666666666 N))) (fma N 0.3333333333333333 (- (* 1/3 (log 1.0)) (fma 1/6 (/ (pow N 2) (pow 1.0 2)) (* 1/3 (log N))))) (fma 0.1111111111111111 (/ 1 (pow N 3)) (- (* 0.3333333333333333 (/ 1 N)) (* 0.16666666666666666 (/ 1 (pow N 2))))) (- (* 2/3 (log -1)) (- (/ (/ 0.16666666666666666 N) N) (* 0.3333333333333333 (/ 1 N)))) (+ (- (log +nan.0) (* +nan.0 (pow N 2))) (* +nan.0 N)) (fma 0.16666666666666666 (/ 1 (pow N 3)) (- (* 0.5 (/ 1 N)) (* 0.25 (/ 1 (pow N 2))))) (fma 0.16666666666666666 (/ 1 (pow N 3)) (- (* 0.5 (/ 1 N)) (* 0.25 (/ 1 (pow N 2))))) (fma (exp (* 1/3 (- (log 1.0) (* 2 (log N))))) (+ (* 0.5555555555555556 (pow N 2)) (* 0.6666666666666666 N)) (- (exp (* 1/3 (- (log 1.0) (* 2 (log N))))) (* 0.6666666666666666 (/ (* (pow N 2) (exp (* 1/3 (- (log 1.0) (* 2 (log N)))))) (pow 1.0 2))))) (fma 0.6666666666666666 (/ 1 N) (- 1 (* 0.1111111111111111 (/ 1 (pow N 2))))) (- (pow -1 2/3) (- (/ (* (pow -1 2/3) 0.1111111111111111) (pow N 2)) (/ (* (pow -1 2/3) 0.6666666666666666) N))) 2.609 * * * [progress]: adding candidates to table 3.308 * [progress]: [Phase 3 of 3] Extracting. 3.308 * * [regime]: Finding splitpoints for: (# # # # # # # #) 3.310 * * * [regime-changes]: Trying 2 branch expressions: ((- (log (+ N 1.0)) (log N)) N) 3.310 * * * * [regimes]: Trying to branch on (- (log (+ N 1.0)) (log N)) from (# # # # # # # #) 3.357 * * * * [regimes]: Trying to branch on N from (# # # # # # # #) 3.403 * * * [regime]: Found split indices: #