5.242 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.046 * * * [progress]: [2/2] Setting up program. 0.047 * [progress]: [Phase 2 of 3] Improving. 0.048 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.048 * [simplify]: Sending expressions to egg_math: (- (log (+ h0 h1)) (log h0)) 0.050 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.051 * * [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 0.060 * * * [progress]: generating rewritten candidates 0.060 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.065 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.078 * * * [progress]: generating series expansions 0.078 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.078 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.078 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.078 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.078 * [taylor]: Taking taylor expansion of N in N 0.078 * [taylor]: Taking taylor expansion of 1.0 in N 0.079 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.079 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.079 * [taylor]: Taking taylor expansion of N in N 0.079 * [taylor]: Taking taylor expansion of 1.0 in N 0.090 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.090 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.090 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.090 * [taylor]: Taking taylor expansion of N in N 0.091 * [taylor]: Taking taylor expansion of 1.0 in N 0.091 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.091 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.091 * [taylor]: Taking taylor expansion of N in N 0.091 * [taylor]: Taking taylor expansion of 1.0 in N 0.103 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.103 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.103 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.103 * [taylor]: Taking taylor expansion of 1.0 in N 0.103 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.103 * [taylor]: Taking taylor expansion of N in N 0.104 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.104 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.104 * [taylor]: Taking taylor expansion of 1.0 in N 0.104 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.104 * [taylor]: Taking taylor expansion of N in N 0.117 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.117 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.117 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.117 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.117 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.117 * [taylor]: Taking taylor expansion of N in N 0.117 * [taylor]: Taking taylor expansion of 1.0 in N 0.121 * [taylor]: Taking taylor expansion of (log N) in N 0.121 * [taylor]: Taking taylor expansion of N in N 0.121 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.121 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.121 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.121 * [taylor]: Taking taylor expansion of N in N 0.121 * [taylor]: Taking taylor expansion of 1.0 in N 0.122 * [taylor]: Taking taylor expansion of (log N) in N 0.122 * [taylor]: Taking taylor expansion of N in N 0.138 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.138 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.138 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.138 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.138 * [taylor]: Taking taylor expansion of N in N 0.138 * [taylor]: Taking taylor expansion of 1.0 in N 0.139 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.139 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.139 * [taylor]: Taking taylor expansion of N in N 0.139 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.139 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.139 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.139 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.139 * [taylor]: Taking taylor expansion of N in N 0.139 * [taylor]: Taking taylor expansion of 1.0 in N 0.140 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.140 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.140 * [taylor]: Taking taylor expansion of N in N 0.168 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.169 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.169 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.169 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.169 * [taylor]: Taking taylor expansion of 1.0 in N 0.169 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.169 * [taylor]: Taking taylor expansion of N in N 0.169 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.170 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.170 * [taylor]: Taking taylor expansion of -1 in N 0.170 * [taylor]: Taking taylor expansion of N in N 0.170 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.170 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.170 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.170 * [taylor]: Taking taylor expansion of 1.0 in N 0.170 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.170 * [taylor]: Taking taylor expansion of N in N 0.171 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.171 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.171 * [taylor]: Taking taylor expansion of -1 in N 0.171 * [taylor]: Taking taylor expansion of N in N 0.206 * * * [progress]: simplifying candidates 0.206 * [simplify]: Simplifying using # : (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))) (/ (+ 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)))) 0.207 * [simplify]: Sending expressions to egg_math: (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))) (/ (+ 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)))) 0.210 * * [simplify]: iteration 0 : 212 enodes (cost 281 ) 0.213 * * [simplify]: iteration 1 : 547 enodes (cost 264 ) 0.221 * * [simplify]: iteration 2 : 1874 enodes (cost 250 ) 0.256 * * [simplify]: iteration 3 : 5001 enodes (cost 247 ) 0.257 * [simplify]: Simplified to: (* 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))) (/ (+ 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)) (+ (* (log (+ N 1.0)) (+ (log N) (log (+ N 1.0)))) (* (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)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 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)) 0.258 * * * [progress]: adding candidates to table 0.347 * * [progress]: iteration 2 / 4 0.347 * * * [progress]: picking best candidate 0.354 * * * * [pick]: Picked # 0.354 * * * [progress]: localizing error 0.361 * * * [progress]: generating rewritten candidates 0.361 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.367 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.386 * * * [progress]: generating series expansions 0.386 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.386 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.386 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.386 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.386 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.386 * [taylor]: Taking taylor expansion of N in N 0.386 * [taylor]: Taking taylor expansion of 1.0 in N 0.386 * [taylor]: Taking taylor expansion of N in N 0.387 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.387 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.387 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.387 * [taylor]: Taking taylor expansion of N in N 0.387 * [taylor]: Taking taylor expansion of 1.0 in N 0.387 * [taylor]: Taking taylor expansion of N in N 0.400 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.400 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.400 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.400 * [taylor]: Taking taylor expansion of N in N 0.400 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.400 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.400 * [taylor]: Taking taylor expansion of N in N 0.400 * [taylor]: Taking taylor expansion of 1.0 in N 0.402 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.402 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.402 * [taylor]: Taking taylor expansion of N in N 0.402 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.402 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.402 * [taylor]: Taking taylor expansion of N in N 0.402 * [taylor]: Taking taylor expansion of 1.0 in N 0.426 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.426 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.426 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.426 * [taylor]: Taking taylor expansion of -1 in N 0.427 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.427 * [taylor]: Taking taylor expansion of N in N 0.427 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.427 * [taylor]: Taking taylor expansion of 1.0 in N 0.427 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.427 * [taylor]: Taking taylor expansion of N in N 0.432 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.432 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.432 * [taylor]: Taking taylor expansion of -1 in N 0.432 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.432 * [taylor]: Taking taylor expansion of N in N 0.433 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.433 * [taylor]: Taking taylor expansion of 1.0 in N 0.433 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.433 * [taylor]: Taking taylor expansion of N in N 0.463 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.463 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.463 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.463 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.463 * [taylor]: Taking taylor expansion of N in N 0.463 * [taylor]: Taking taylor expansion of 1.0 in N 0.463 * [taylor]: Taking taylor expansion of N in N 0.464 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.464 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.464 * [taylor]: Taking taylor expansion of N in N 0.464 * [taylor]: Taking taylor expansion of 1.0 in N 0.464 * [taylor]: Taking taylor expansion of N in N 0.470 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.470 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.470 * [taylor]: Taking taylor expansion of N in N 0.470 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.470 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.470 * [taylor]: Taking taylor expansion of N in N 0.470 * [taylor]: Taking taylor expansion of 1.0 in N 0.470 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.470 * [taylor]: Taking taylor expansion of N in N 0.470 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.470 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.470 * [taylor]: Taking taylor expansion of N in N 0.470 * [taylor]: Taking taylor expansion of 1.0 in N 0.483 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.483 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.483 * [taylor]: Taking taylor expansion of -1 in N 0.483 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.483 * [taylor]: Taking taylor expansion of N in N 0.483 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.483 * [taylor]: Taking taylor expansion of 1.0 in N 0.483 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.483 * [taylor]: Taking taylor expansion of N in N 0.483 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.483 * [taylor]: Taking taylor expansion of -1 in N 0.483 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.483 * [taylor]: Taking taylor expansion of N in N 0.483 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.483 * [taylor]: Taking taylor expansion of 1.0 in N 0.483 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.483 * [taylor]: Taking taylor expansion of N in N 0.508 * * * [progress]: simplifying candidates 0.509 * [simplify]: Simplifying using # : (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))) (- (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) 0.509 * [simplify]: Sending expressions to egg_math: (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))) (- (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) 0.513 * * [simplify]: iteration 0 : 233 enodes (cost 373 ) 0.517 * * [simplify]: iteration 1 : 773 enodes (cost 351 ) 0.530 * * [simplify]: iteration 2 : 3489 enodes (cost 339 ) 0.604 * * [simplify]: iteration 3 : 5002 enodes (cost 339 ) 0.607 * [simplify]: Simplified to: (* 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))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (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))) (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)) (* (+ (* 1.0 (- 1.0 N)) (pow N 2)) N) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 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)) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.607 * * * [progress]: adding candidates to table 0.706 * * [progress]: iteration 3 / 4 0.707 * * * [progress]: picking best candidate 0.715 * * * * [pick]: Picked # 0.715 * * * [progress]: localizing error 0.722 * * * [progress]: generating rewritten candidates 0.722 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.729 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.735 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.744 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.757 * * * [progress]: generating series expansions 0.758 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.758 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 0.758 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.758 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.758 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.758 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.758 * [taylor]: Taking taylor expansion of N in N 0.758 * [taylor]: Taking taylor expansion of 1.0 in N 0.758 * [taylor]: Taking taylor expansion of N in N 0.760 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.760 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.760 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.760 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.760 * [taylor]: Taking taylor expansion of N in N 0.760 * [taylor]: Taking taylor expansion of 1.0 in N 0.760 * [taylor]: Taking taylor expansion of N in N 0.781 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 0.782 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.782 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.782 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.782 * [taylor]: Taking taylor expansion of N in N 0.782 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.782 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.782 * [taylor]: Taking taylor expansion of N in N 0.782 * [taylor]: Taking taylor expansion of 1.0 in N 0.786 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.786 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.786 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.786 * [taylor]: Taking taylor expansion of N in N 0.786 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.786 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.786 * [taylor]: Taking taylor expansion of N in N 0.787 * [taylor]: Taking taylor expansion of 1.0 in N 0.822 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 0.822 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.822 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.822 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.822 * [taylor]: Taking taylor expansion of -1 in N 0.822 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.822 * [taylor]: Taking taylor expansion of N in N 0.822 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.822 * [taylor]: Taking taylor expansion of 1.0 in N 0.822 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.822 * [taylor]: Taking taylor expansion of N in N 0.829 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.829 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.829 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.829 * [taylor]: Taking taylor expansion of -1 in N 0.829 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.829 * [taylor]: Taking taylor expansion of N in N 0.829 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.829 * [taylor]: Taking taylor expansion of 1.0 in N 0.829 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.829 * [taylor]: Taking taylor expansion of N in N 0.871 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.871 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 0.871 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.871 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.871 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.871 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.871 * [taylor]: Taking taylor expansion of N in N 0.871 * [taylor]: Taking taylor expansion of 1.0 in N 0.872 * [taylor]: Taking taylor expansion of N in N 0.873 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.873 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.873 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.873 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.873 * [taylor]: Taking taylor expansion of N in N 0.873 * [taylor]: Taking taylor expansion of 1.0 in N 0.873 * [taylor]: Taking taylor expansion of N in N 0.891 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 0.891 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.891 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.891 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.891 * [taylor]: Taking taylor expansion of N in N 0.891 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.891 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.891 * [taylor]: Taking taylor expansion of N in N 0.892 * [taylor]: Taking taylor expansion of 1.0 in N 0.896 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.896 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.896 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.896 * [taylor]: Taking taylor expansion of N in N 0.896 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.896 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.896 * [taylor]: Taking taylor expansion of N in N 0.897 * [taylor]: Taking taylor expansion of 1.0 in N 0.934 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 0.934 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.934 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.934 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.934 * [taylor]: Taking taylor expansion of -1 in N 0.934 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.934 * [taylor]: Taking taylor expansion of N in N 0.934 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.934 * [taylor]: Taking taylor expansion of 1.0 in N 0.934 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.934 * [taylor]: Taking taylor expansion of N in N 0.941 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.941 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.941 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.941 * [taylor]: Taking taylor expansion of -1 in N 0.941 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.942 * [taylor]: Taking taylor expansion of N in N 0.942 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.942 * [taylor]: Taking taylor expansion of 1.0 in N 0.942 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.942 * [taylor]: Taking taylor expansion of N in N 0.980 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.980 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 0.980 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.980 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.980 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.980 * [taylor]: Taking taylor expansion of N in N 0.980 * [taylor]: Taking taylor expansion of 1.0 in N 0.980 * [taylor]: Taking taylor expansion of N in N 0.982 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.982 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.982 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.982 * [taylor]: Taking taylor expansion of N in N 0.982 * [taylor]: Taking taylor expansion of 1.0 in N 0.982 * [taylor]: Taking taylor expansion of N in N 0.988 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.989 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.989 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.989 * [taylor]: Taking taylor expansion of N in N 0.989 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.989 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.989 * [taylor]: Taking taylor expansion of N in N 0.989 * [taylor]: Taking taylor expansion of 1.0 in N 0.993 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.993 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.993 * [taylor]: Taking taylor expansion of N in N 0.993 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.993 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.993 * [taylor]: Taking taylor expansion of N in N 0.993 * [taylor]: Taking taylor expansion of 1.0 in N 1.006 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.006 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.006 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.006 * [taylor]: Taking taylor expansion of -1 in N 1.006 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.006 * [taylor]: Taking taylor expansion of N in N 1.006 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.006 * [taylor]: Taking taylor expansion of 1.0 in N 1.006 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.006 * [taylor]: Taking taylor expansion of N in N 1.013 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.014 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.014 * [taylor]: Taking taylor expansion of -1 in N 1.014 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.014 * [taylor]: Taking taylor expansion of N in N 1.014 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.014 * [taylor]: Taking taylor expansion of 1.0 in N 1.014 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.014 * [taylor]: Taking taylor expansion of N in N 1.024 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.024 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 1.025 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.025 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.025 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.025 * [taylor]: Taking taylor expansion of N in N 1.025 * [taylor]: Taking taylor expansion of 1.0 in N 1.025 * [taylor]: Taking taylor expansion of N in N 1.026 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.026 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.026 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.026 * [taylor]: Taking taylor expansion of N in N 1.026 * [taylor]: Taking taylor expansion of 1.0 in N 1.026 * [taylor]: Taking taylor expansion of N in N 1.033 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.033 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.033 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.033 * [taylor]: Taking taylor expansion of N in N 1.033 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.033 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.033 * [taylor]: Taking taylor expansion of N in N 1.033 * [taylor]: Taking taylor expansion of 1.0 in N 1.037 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.037 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.037 * [taylor]: Taking taylor expansion of N in N 1.037 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.037 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.037 * [taylor]: Taking taylor expansion of N in N 1.038 * [taylor]: Taking taylor expansion of 1.0 in N 1.045 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.045 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.045 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.045 * [taylor]: Taking taylor expansion of -1 in N 1.045 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.045 * [taylor]: Taking taylor expansion of N in N 1.045 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.045 * [taylor]: Taking taylor expansion of 1.0 in N 1.045 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.045 * [taylor]: Taking taylor expansion of N in N 1.052 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.052 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.052 * [taylor]: Taking taylor expansion of -1 in N 1.052 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.052 * [taylor]: Taking taylor expansion of N in N 1.052 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.052 * [taylor]: Taking taylor expansion of 1.0 in N 1.052 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.052 * [taylor]: Taking taylor expansion of N in N 1.063 * * * [progress]: simplifying candidates 1.065 * [simplify]: Simplifying using # : (log (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (sqrt (/ (cbrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) 1))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt 1)) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log 1) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt N)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (/ (+ N 1.0) N)))) (exp (log (sqrt (/ (+ N 1.0) N)))) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (* (* (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (log (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (sqrt (/ (cbrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) 1))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt 1)) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log 1) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt N)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (/ (+ N 1.0) N)))) (exp (log (sqrt (/ (+ N 1.0) N)))) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (* (* (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (log (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 (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)))) 1.066 * [simplify]: Sending expressions to egg_math: (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 (/ (cbrt (+ h0 h1)) h0))) (log (sqrt (/ (sqrt (+ h0 h1)) (* (cbrt h0) (cbrt h0))))) (log (sqrt (/ (sqrt (+ h0 h1)) (cbrt h0)))) (log (sqrt (/ (sqrt (+ h0 h1)) (sqrt h0)))) (log (sqrt (/ (sqrt (+ h0 h1)) (sqrt h0)))) (log (sqrt (/ (sqrt (+ h0 h1)) 1))) (log (sqrt (/ (sqrt (+ h0 h1)) h0))) (log (sqrt (/ 1 (* (cbrt h0) (cbrt h0))))) (log (sqrt (/ (+ h0 h1) (cbrt h0)))) (log (sqrt (/ 1 (sqrt h0)))) (log (sqrt (/ (+ h0 h1) (sqrt h0)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ h0 h1) h0))) (log (sqrt (/ 1 (* (cbrt h0) (cbrt h0))))) (log (sqrt (/ (+ h0 h1) (cbrt h0)))) (log (sqrt (/ 1 (sqrt h0)))) (log (sqrt (/ (+ h0 h1) (sqrt h0)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ h0 h1) h0))) (log (sqrt 1)) (log (sqrt (/ (+ h0 h1) h0))) (log (sqrt (+ h0 h1))) (log (sqrt (/ 1 h0))) (log (sqrt (sqrt (/ (+ h0 h1) h0)))) (log (sqrt (sqrt (/ (+ h0 h1) h0)))) (log 1) (log (sqrt (/ (+ h0 h1) h0))) (log (sqrt (+ h0 h1))) (log (sqrt h0)) (log (/ (+ h0 h1) h0)) (log (sqrt (/ (+ h0 h1) h0))) (log (/ (+ h0 h1) h0)) (log (log (sqrt (/ (+ h0 h1) h0)))) (exp (log (sqrt (/ (+ h0 h1) h0)))) (* (cbrt (log (sqrt (/ (+ h0 h1) h0)))) (cbrt (log (sqrt (/ (+ h0 h1) h0))))) (cbrt (log (sqrt (/ (+ h0 h1) h0)))) (* (* (log (sqrt (/ (+ h0 h1) h0))) (log (sqrt (/ (+ h0 h1) h0)))) (log (sqrt (/ (+ h0 h1) h0)))) (sqrt (log (sqrt (/ (+ h0 h1) h0)))) (sqrt (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 (/ (cbrt (+ h0 h1)) h0))) (log (sqrt (/ (sqrt (+ h0 h1)) (* (cbrt h0) (cbrt h0))))) (log (sqrt (/ (sqrt (+ h0 h1)) (cbrt h0)))) (log (sqrt (/ (sqrt (+ h0 h1)) (sqrt h0)))) (log (sqrt (/ (sqrt (+ h0 h1)) (sqrt h0)))) (log (sqrt (/ (sqrt (+ h0 h1)) 1))) (log (sqrt (/ (sqrt (+ h0 h1)) h0))) (log (sqrt (/ 1 (* (cbrt h0) (cbrt h0))))) (log (sqrt (/ (+ h0 h1) (cbrt h0)))) (log (sqrt (/ 1 (sqrt h0)))) (log (sqrt (/ (+ h0 h1) (sqrt h0)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ h0 h1) h0))) (log (sqrt (/ 1 (* (cbrt h0) (cbrt h0))))) (log (sqrt (/ (+ h0 h1) (cbrt h0)))) (log (sqrt (/ 1 (sqrt h0)))) (log (sqrt (/ (+ h0 h1) (sqrt h0)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ h0 h1) h0))) (log (sqrt 1)) (log (sqrt (/ (+ h0 h1) h0))) (log (sqrt (+ h0 h1))) (log (sqrt (/ 1 h0))) (log (sqrt (sqrt (/ (+ h0 h1) h0)))) (log (sqrt (sqrt (/ (+ h0 h1) h0)))) (log 1) (log (sqrt (/ (+ h0 h1) h0))) (log (sqrt (+ h0 h1))) (log (sqrt h0)) (log (/ (+ h0 h1) h0)) (log (sqrt (/ (+ h0 h1) h0))) (log (/ (+ h0 h1) h0)) (log (log (sqrt (/ (+ h0 h1) h0)))) (exp (log (sqrt (/ (+ h0 h1) h0)))) (* (cbrt (log (sqrt (/ (+ h0 h1) h0)))) (cbrt (log (sqrt (/ (+ h0 h1) h0))))) (cbrt (log (sqrt (/ (+ h0 h1) h0)))) (* (* (log (sqrt (/ (+ h0 h1) h0))) (log (sqrt (/ (+ h0 h1) h0)))) (log (sqrt (/ (+ h0 h1) h0)))) (sqrt (log (sqrt (/ (+ h0 h1) h0)))) (sqrt (log (sqrt (/ (+ h0 h1) h0)))) (log (sqrt (/ (+ h0 h1) h0))) (exp (sqrt (/ (+ h0 h1) h0))) (* (cbrt (sqrt (/ (+ h0 h1) h0))) (cbrt (sqrt (/ (+ h0 h1) h0)))) (cbrt (sqrt (/ (+ h0 h1) h0))) (* (* (sqrt (/ (+ h0 h1) h0)) (sqrt (/ (+ h0 h1) h0))) (sqrt (/ (+ h0 h1) h0))) (sqrt (* (cbrt (/ (+ h0 h1) h0)) (cbrt (/ (+ h0 h1) h0)))) (sqrt (cbrt (/ (+ h0 h1) h0))) (sqrt (sqrt (/ (+ h0 h1) h0))) (sqrt (sqrt (/ (+ h0 h1) h0))) (sqrt (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h0) (cbrt h0)))) (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0))) (sqrt (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt h0))) (sqrt (/ (cbrt (+ h0 h1)) (sqrt h0))) (sqrt (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1)) (sqrt (/ (cbrt (+ h0 h1)) h0)) (sqrt (/ (sqrt (+ h0 h1)) (* (cbrt h0) (cbrt h0)))) (sqrt (/ (sqrt (+ h0 h1)) (cbrt h0))) (sqrt (/ (sqrt (+ h0 h1)) (sqrt h0))) (sqrt (/ (sqrt (+ h0 h1)) (sqrt h0))) (sqrt (/ (sqrt (+ h0 h1)) 1)) (sqrt (/ (sqrt (+ h0 h1)) h0)) (sqrt (/ 1 (* (cbrt h0) (cbrt h0)))) (sqrt (/ (+ h0 h1) (cbrt h0))) (sqrt (/ 1 (sqrt h0))) (sqrt (/ (+ h0 h1) (sqrt h0))) (sqrt (/ 1 1)) (sqrt (/ (+ h0 h1) h0)) (sqrt (/ 1 (* (cbrt h0) (cbrt h0)))) (sqrt (/ (+ h0 h1) (cbrt h0))) (sqrt (/ 1 (sqrt h0))) (sqrt (/ (+ h0 h1) (sqrt h0))) (sqrt (/ 1 1)) (sqrt (/ (+ h0 h1) h0)) (sqrt 1) (sqrt (/ (+ h0 h1) h0)) (sqrt (+ h0 h1)) (sqrt (/ 1 h0)) (sqrt (+ h0 h1)) (sqrt h0) (/ 1 2) (sqrt (sqrt (/ (+ h0 h1) h0))) (sqrt (sqrt (/ (+ h0 h1) h0))) (log (sqrt (/ (+ h0 h1) h0))) (exp (sqrt (/ (+ h0 h1) h0))) (* (cbrt (sqrt (/ (+ h0 h1) h0))) (cbrt (sqrt (/ (+ h0 h1) h0)))) (cbrt (sqrt (/ (+ h0 h1) h0))) (* (* (sqrt (/ (+ h0 h1) h0)) (sqrt (/ (+ h0 h1) h0))) (sqrt (/ (+ h0 h1) h0))) (sqrt (* (cbrt (/ (+ h0 h1) h0)) (cbrt (/ (+ h0 h1) h0)))) (sqrt (cbrt (/ (+ h0 h1) h0))) (sqrt (sqrt (/ (+ h0 h1) h0))) (sqrt (sqrt (/ (+ h0 h1) h0))) (sqrt (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h0) (cbrt h0)))) (sqrt (/ (cbrt (+ h0 h1)) (cbrt h0))) (sqrt (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt h0))) (sqrt (/ (cbrt (+ h0 h1)) (sqrt h0))) (sqrt (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1)) (sqrt (/ (cbrt (+ h0 h1)) h0)) (sqrt (/ (sqrt (+ h0 h1)) (* (cbrt h0) (cbrt h0)))) (sqrt (/ (sqrt (+ h0 h1)) (cbrt h0))) (sqrt (/ (sqrt (+ h0 h1)) (sqrt h0))) (sqrt (/ (sqrt (+ h0 h1)) (sqrt h0))) (sqrt (/ (sqrt (+ h0 h1)) 1)) (sqrt (/ (sqrt (+ h0 h1)) h0)) (sqrt (/ 1 (* (cbrt h0) (cbrt h0)))) (sqrt (/ (+ h0 h1) (cbrt h0))) (sqrt (/ 1 (sqrt h0))) (sqrt (/ (+ h0 h1) (sqrt h0))) (sqrt (/ 1 1)) (sqrt (/ (+ h0 h1) h0)) (sqrt (/ 1 (* (cbrt h0) (cbrt h0)))) (sqrt (/ (+ h0 h1) (cbrt h0))) (sqrt (/ 1 (sqrt h0))) (sqrt (/ (+ h0 h1) (sqrt h0))) (sqrt (/ 1 1)) (sqrt (/ (+ h0 h1) h0)) (sqrt 1) (sqrt (/ (+ h0 h1) h0)) (sqrt (+ h0 h1)) (sqrt (/ 1 h0)) (sqrt (+ h0 h1)) (sqrt h0) (/ 1 2) (sqrt (sqrt (/ (+ h0 h1) h0))) (sqrt (sqrt (/ (+ h0 h1) h0))) (- (log h2) (+ (* h2 (pow h0 2)) (- (* h2 h0)))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h4 (/ 1 h0))) (* h5 (/ 1 (pow h0 2)))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h4 (/ 1 h0))) (* h5 (/ 1 (pow h0 2)))) (- (log h2) (+ (* h2 (pow h0 2)) (- (* h2 h0)))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h4 (/ 1 h0))) (* h5 (/ 1 (pow h0 2)))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h4 (/ 1 h0))) (* h5 (/ 1 (pow h0 2)))) (- (+ (* h2 (pow h0 2)) (- (+ (* h2 h0) (- h2))))) (- (+ (* h4 (/ 1 h0)) 1) (* h6 (/ 1 (pow h0 2)))) (- (+ (* h4 (/ 1 h0)) 1) (* h6 (/ 1 (pow h0 2)))) (- (+ (* h2 (pow h0 2)) (- (+ (* h2 h0) (- h2))))) (- (+ (* h4 (/ 1 h0)) 1) (* h6 (/ 1 (pow h0 2)))) (- (+ (* h4 (/ 1 h0)) 1) (* h6 (/ 1 (pow h0 2)))) 1.070 * * [simplify]: iteration 0 : 196 enodes (cost 964 ) 1.073 * * [simplify]: iteration 1 : 456 enodes (cost 908 ) 1.081 * * [simplify]: iteration 2 : 1761 enodes (cost 868 ) 1.118 * * [simplify]: iteration 3 : 5002 enodes (cost 860 ) 1.122 * [simplify]: Simplified to: (* 2 (log (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (sqrt (/ (cbrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) 1))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) 0 (log (sqrt (/ (+ N 1.0) N))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (pow N 1/2)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (/ (+ N 1.0) N)))) (sqrt (/ (+ N 1.0) N)) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (pow (log (sqrt (/ (+ N 1.0) N))) 3) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (* 2 (log (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (sqrt (/ (cbrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) 1))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) 0 (log (sqrt (/ (+ N 1.0) N))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (pow N 1/2)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (/ (+ N 1.0) N)))) (sqrt (/ (+ N 1.0) N)) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (pow (log (sqrt (/ (+ N 1.0) N))) 3) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (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))) (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))) (+ (- (log +nan.0) (* +nan.0 (pow N 2))) (* +nan.0 N)) (+ (* (/ 1 (pow N 2)) (- (/ 0.16666666666666666 N) 0.25)) (/ 0.5 N)) (+ (* (/ 1 (pow N 2)) (- (/ 0.16666666666666666 N) 0.25)) (/ 0.5 N)) (+ (- (log +nan.0) (* +nan.0 (pow N 2))) (* +nan.0 N)) (+ (* (/ 1 (pow N 2)) (- (/ 0.16666666666666666 N) 0.25)) (/ 0.5 N)) (+ (* (/ 1 (pow N 2)) (- (/ 0.16666666666666666 N) 0.25)) (/ 0.5 N)) (- (* (- +nan.0) (- (pow N 2) N)) +nan.0) (+ (* (/ 1 N) (- 0.5 (/ 0.125 N))) 1) (+ (* (/ 1 N) (- 0.5 (/ 0.125 N))) 1) (- (* (- +nan.0) (- (pow N 2) N)) +nan.0) (+ (* (/ 1 N) (- 0.5 (/ 0.125 N))) 1) (+ (* (/ 1 N) (- 0.5 (/ 0.125 N))) 1) 1.123 * * * [progress]: adding candidates to table 1.418 * * [progress]: iteration 4 / 4 1.418 * * * [progress]: picking best candidate 1.429 * * * * [pick]: Picked # 1.429 * * * [progress]: localizing error 1.445 * * * [progress]: generating rewritten candidates 1.445 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.453 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.473 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.479 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1) 1.539 * * * [progress]: generating series expansions 1.539 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.539 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/6)) in (N) around 0 1.539 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/6)) in N 1.539 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/6) in N 1.539 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ (+ N 1.0) N)))) in N 1.539 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ (+ N 1.0) N))) in N 1.539 * [taylor]: Taking taylor expansion of 1/6 in N 1.539 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.539 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.539 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.539 * [taylor]: Taking taylor expansion of N in N 1.539 * [taylor]: Taking taylor expansion of 1.0 in N 1.539 * [taylor]: Taking taylor expansion of N in N 1.541 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/6)) in N 1.541 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/6) in N 1.541 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ (+ N 1.0) N)))) in N 1.542 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ (+ N 1.0) N))) in N 1.542 * [taylor]: Taking taylor expansion of 1/6 in N 1.542 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.542 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.542 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.542 * [taylor]: Taking taylor expansion of N in N 1.542 * [taylor]: Taking taylor expansion of 1.0 in N 1.542 * [taylor]: Taking taylor expansion of N in N 1.569 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/6)) in (N) around 0 1.569 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/6)) in N 1.569 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/6) in N 1.569 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (* N (+ (/ 1 N) 1.0))))) in N 1.569 * [taylor]: Taking taylor expansion of (* 1/6 (log (* N (+ (/ 1 N) 1.0)))) in N 1.569 * [taylor]: Taking taylor expansion of 1/6 in N 1.569 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.569 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.569 * [taylor]: Taking taylor expansion of N in N 1.569 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.569 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.569 * [taylor]: Taking taylor expansion of N in N 1.570 * [taylor]: Taking taylor expansion of 1.0 in N 1.578 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/6)) in N 1.578 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/6) in N 1.578 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (* N (+ (/ 1 N) 1.0))))) in N 1.578 * [taylor]: Taking taylor expansion of (* 1/6 (log (* N (+ (/ 1 N) 1.0)))) in N 1.578 * [taylor]: Taking taylor expansion of 1/6 in N 1.578 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.578 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.578 * [taylor]: Taking taylor expansion of N in N 1.578 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.578 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.578 * [taylor]: Taking taylor expansion of N in N 1.578 * [taylor]: Taking taylor expansion of 1.0 in N 1.649 * [approximate]: Taking taylor expansion of (log (* (sqrt (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/6))) in (N) around 0 1.649 * [taylor]: Taking taylor expansion of (log (* (sqrt (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/6))) in N 1.649 * [taylor]: Taking taylor expansion of (* (sqrt (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/6)) in N 1.649 * [taylor]: Taking taylor expansion of (sqrt (cbrt -1)) in N 1.649 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.649 * [taylor]: Taking taylor expansion of -1 in N 1.651 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/6) in N 1.651 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (* N (- 1.0 (/ 1 N)))))) in N 1.651 * [taylor]: Taking taylor expansion of (* 1/6 (log (* N (- 1.0 (/ 1 N))))) in N 1.651 * [taylor]: Taking taylor expansion of 1/6 in N 1.651 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.651 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.651 * [taylor]: Taking taylor expansion of N in N 1.651 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.651 * [taylor]: Taking taylor expansion of 1.0 in N 1.651 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.651 * [taylor]: Taking taylor expansion of N in N 1.658 * [taylor]: Taking taylor expansion of (log (* (sqrt (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/6))) in N 1.658 * [taylor]: Taking taylor expansion of (* (sqrt (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/6)) in N 1.658 * [taylor]: Taking taylor expansion of (sqrt (cbrt -1)) in N 1.658 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.658 * [taylor]: Taking taylor expansion of -1 in N 1.659 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/6) in N 1.659 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (* N (- 1.0 (/ 1 N)))))) in N 1.659 * [taylor]: Taking taylor expansion of (* 1/6 (log (* N (- 1.0 (/ 1 N))))) in N 1.659 * [taylor]: Taking taylor expansion of 1/6 in N 1.659 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.659 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.659 * [taylor]: Taking taylor expansion of N in N 1.659 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.659 * [taylor]: Taking taylor expansion of 1.0 in N 1.659 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.659 * [taylor]: Taking taylor expansion of N in N 1.741 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.742 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in (N) around 0 1.742 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 1.742 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 1.742 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 1.742 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 1.742 * [taylor]: Taking taylor expansion of 1/3 in N 1.742 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.742 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.742 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.742 * [taylor]: Taking taylor expansion of N in N 1.742 * [taylor]: Taking taylor expansion of 1.0 in N 1.742 * [taylor]: Taking taylor expansion of N in N 1.744 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 1.744 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 1.744 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 1.744 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 1.744 * [taylor]: Taking taylor expansion of 1/3 in N 1.744 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.744 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.744 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.744 * [taylor]: Taking taylor expansion of N in N 1.744 * [taylor]: Taking taylor expansion of 1.0 in N 1.744 * [taylor]: Taking taylor expansion of N in N 1.778 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in (N) around 0 1.778 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 1.778 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.778 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.778 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.778 * [taylor]: Taking taylor expansion of 1/3 in N 1.778 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.778 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.778 * [taylor]: Taking taylor expansion of N in N 1.778 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.778 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.778 * [taylor]: Taking taylor expansion of N in N 1.778 * [taylor]: Taking taylor expansion of 1.0 in N 1.786 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 1.786 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.786 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.786 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.786 * [taylor]: Taking taylor expansion of 1/3 in N 1.786 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.786 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.786 * [taylor]: Taking taylor expansion of N in N 1.786 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.787 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.787 * [taylor]: Taking taylor expansion of N in N 1.787 * [taylor]: Taking taylor expansion of 1.0 in N 1.857 * [approximate]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in (N) around 0 1.857 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 1.857 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.857 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.857 * [taylor]: Taking taylor expansion of -1 in N 1.858 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.858 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.858 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.858 * [taylor]: Taking taylor expansion of 1/3 in N 1.858 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.858 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.858 * [taylor]: Taking taylor expansion of N in N 1.858 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.858 * [taylor]: Taking taylor expansion of 1.0 in N 1.858 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.858 * [taylor]: Taking taylor expansion of N in N 1.864 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 1.864 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.864 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.864 * [taylor]: Taking taylor expansion of -1 in N 1.865 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.865 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.865 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.865 * [taylor]: Taking taylor expansion of 1/3 in N 1.865 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.865 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.865 * [taylor]: Taking taylor expansion of N in N 1.865 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.865 * [taylor]: Taking taylor expansion of 1.0 in N 1.865 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.865 * [taylor]: Taking taylor expansion of N in N 1.934 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.934 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 1.934 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 1.934 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.934 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.934 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.934 * [taylor]: Taking taylor expansion of N in N 1.934 * [taylor]: Taking taylor expansion of 1.0 in N 1.934 * [taylor]: Taking taylor expansion of N in N 1.941 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 1.942 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.942 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.942 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.942 * [taylor]: Taking taylor expansion of N in N 1.942 * [taylor]: Taking taylor expansion of 1.0 in N 1.942 * [taylor]: Taking taylor expansion of N in N 1.960 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 1.960 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 1.960 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.961 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.961 * [taylor]: Taking taylor expansion of N in N 1.961 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.961 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.961 * [taylor]: Taking taylor expansion of N in N 1.961 * [taylor]: Taking taylor expansion of 1.0 in N 1.965 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 1.965 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.965 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.965 * [taylor]: Taking taylor expansion of N in N 1.965 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.965 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.966 * [taylor]: Taking taylor expansion of N in N 1.966 * [taylor]: Taking taylor expansion of 1.0 in N 2.000 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 2.000 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 2.000 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.000 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.000 * [taylor]: Taking taylor expansion of -1 in N 2.000 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.001 * [taylor]: Taking taylor expansion of N in N 2.001 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.001 * [taylor]: Taking taylor expansion of 1.0 in N 2.001 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.001 * [taylor]: Taking taylor expansion of N in N 2.008 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 2.008 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.008 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.008 * [taylor]: Taking taylor expansion of -1 in N 2.008 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.008 * [taylor]: Taking taylor expansion of N in N 2.008 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.008 * [taylor]: Taking taylor expansion of 1.0 in N 2.008 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.008 * [taylor]: Taking taylor expansion of N in N 2.052 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1) 2.053 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ N 1.0) 2) (pow N 2)) 1/3) in (N) around 0 2.053 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ N 1.0) 2) (pow N 2)) 1/3) in N 2.053 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ N 1.0) 2) (pow N 2))))) in N 2.053 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ N 1.0) 2) (pow N 2)))) in N 2.053 * [taylor]: Taking taylor expansion of 1/3 in N 2.053 * [taylor]: Taking taylor expansion of (log (/ (pow (+ N 1.0) 2) (pow N 2))) in N 2.053 * [taylor]: Taking taylor expansion of (/ (pow (+ N 1.0) 2) (pow N 2)) in N 2.053 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 2.053 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.053 * [taylor]: Taking taylor expansion of N in N 2.053 * [taylor]: Taking taylor expansion of 1.0 in N 2.053 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.053 * [taylor]: Taking taylor expansion of N in N 2.055 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ N 1.0) 2) (pow N 2)) 1/3) in N 2.055 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ N 1.0) 2) (pow N 2))))) in N 2.055 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ N 1.0) 2) (pow N 2)))) in N 2.055 * [taylor]: Taking taylor expansion of 1/3 in N 2.055 * [taylor]: Taking taylor expansion of (log (/ (pow (+ N 1.0) 2) (pow N 2))) in N 2.055 * [taylor]: Taking taylor expansion of (/ (pow (+ N 1.0) 2) (pow N 2)) in N 2.055 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 2.055 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.055 * [taylor]: Taking taylor expansion of N in N 2.055 * [taylor]: Taking taylor expansion of 1.0 in N 2.055 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.055 * [taylor]: Taking taylor expansion of N in N 2.089 * [approximate]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ (/ 1 N) 1.0) 2)) 1/3) in (N) around 0 2.089 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ (/ 1 N) 1.0) 2)) 1/3) in N 2.089 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ (/ 1 N) 1.0) 2))))) in N 2.089 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ (/ 1 N) 1.0) 2)))) in N 2.089 * [taylor]: Taking taylor expansion of 1/3 in N 2.089 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ (/ 1 N) 1.0) 2))) in N 2.089 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ (/ 1 N) 1.0) 2)) in N 2.089 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.089 * [taylor]: Taking taylor expansion of N in N 2.090 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 2.090 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.090 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.090 * [taylor]: Taking taylor expansion of N in N 2.090 * [taylor]: Taking taylor expansion of 1.0 in N 2.097 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ (/ 1 N) 1.0) 2)) 1/3) in N 2.097 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ (/ 1 N) 1.0) 2))))) in N 2.097 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ (/ 1 N) 1.0) 2)))) in N 2.098 * [taylor]: Taking taylor expansion of 1/3 in N 2.098 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ (/ 1 N) 1.0) 2))) in N 2.098 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ (/ 1 N) 1.0) 2)) in N 2.098 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.098 * [taylor]: Taking taylor expansion of N in N 2.098 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 2.098 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.098 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.098 * [taylor]: Taking taylor expansion of N in N 2.098 * [taylor]: Taking taylor expansion of 1.0 in N 2.129 * [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 2.129 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (* (pow N 2) (pow (- 1.0 (/ 1 N)) 2)) 1/3)) in N 2.129 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 2.129 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.129 * [taylor]: Taking taylor expansion of -1 in N 2.130 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (- 1.0 (/ 1 N)) 2)) 1/3) in N 2.130 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (- 1.0 (/ 1 N)) 2))))) in N 2.130 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (- 1.0 (/ 1 N)) 2)))) in N 2.130 * [taylor]: Taking taylor expansion of 1/3 in N 2.130 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (- 1.0 (/ 1 N)) 2))) in N 2.130 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (- 1.0 (/ 1 N)) 2)) in N 2.130 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.130 * [taylor]: Taking taylor expansion of N in N 2.130 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 2.130 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.130 * [taylor]: Taking taylor expansion of 1.0 in N 2.130 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.130 * [taylor]: Taking taylor expansion of N in N 2.140 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (* (pow N 2) (pow (- 1.0 (/ 1 N)) 2)) 1/3)) in N 2.140 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 2.140 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.140 * [taylor]: Taking taylor expansion of -1 in N 2.140 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (- 1.0 (/ 1 N)) 2)) 1/3) in N 2.140 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (- 1.0 (/ 1 N)) 2))))) in N 2.140 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (- 1.0 (/ 1 N)) 2)))) in N 2.140 * [taylor]: Taking taylor expansion of 1/3 in N 2.140 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (- 1.0 (/ 1 N)) 2))) in N 2.140 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (- 1.0 (/ 1 N)) 2)) in N 2.140 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.140 * [taylor]: Taking taylor expansion of N in N 2.140 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 2.140 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.140 * [taylor]: Taking taylor expansion of 1.0 in N 2.141 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.141 * [taylor]: Taking taylor expansion of N in N 2.185 * * * [progress]: simplifying candidates 2.193 * [simplify]: Simplifying using # : (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))))) (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)))))) (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) 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(sqrt (cbrt -1)))) (- (/ (/ 0.08333333333333334 N) N) (/ 0.16666666666666666 N))) (- (+ (* 0.3333333333333333 N) (* 1/3 (- (log 1.0) (log N)))) (* 1/6 (/ (pow N 2) (pow 1.0 2)))) (- (* 0.3333333333333333 (/ 1 N)) (- (/ (/ 0.16666666666666666 N) N) (* 0.1111111111111111 (/ 1 (pow N 3))))) (- (* 2/3 (log -1)) (- (/ (/ 0.16666666666666666 N) N) (* 0.3333333333333333 (/ 1 N)))) (+ (- (log +nan.0) (* +nan.0 (pow N 2))) (* +nan.0 N)) (- (* 0.5 (/ 1 N)) (- (/ (/ 0.25 N) N) (* 0.16666666666666666 (/ 1 (pow N 3))))) (- (* 0.5 (/ 1 N)) (- (/ (/ 0.25 N) N) (* 0.16666666666666666 (/ 1 (pow N 3))))) (+ (* (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))))) (- 1 (- (/ (/ 0.1111111111111111 N) N) (* 0.6666666666666666 (/ 1 N)))) (- (pow -1 2/3) (- (/ (* (pow -1 2/3) 0.1111111111111111) (pow N 2)) (/ (* (pow -1 2/3) 0.6666666666666666) N))) 2.250 * * * [progress]: adding candidates to table 2.878 * [progress]: [Phase 3 of 3] Extracting. 2.878 * * [regime]: Finding splitpoints for: (# # # # # # #) 2.881 * * * [regime-changes]: Trying 2 branch expressions: ((- (log (+ N 1.0)) (log N)) N) 2.881 * * * * [regimes]: Trying to branch on (- (log (+ N 1.0)) (log N)) from (# # # # # # #) 2.923 * * * * [regimes]: Trying to branch on N from (# # # # # # #) 2.963 * * * [regime]: Found split indices: #