5.255 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.040 * * * [progress]: [2/2] Setting up program. 0.042 * [progress]: [Phase 2 of 3] Improving. 0.043 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.043 * [simplify]: Sending expressions to egg_math: (- (log (+ h0 h1)) (log h0)) 0.045 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.046 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.047 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.047 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.047 * * [progress]: iteration 1 / 4 0.047 * * * [progress]: picking best candidate 0.049 * * * * [pick]: Picked # 0.049 * * * [progress]: localizing error 0.056 * * * [progress]: generating rewritten candidates 0.056 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.067 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.073 * * * [progress]: generating series expansions 0.073 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.073 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.074 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.074 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.074 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.074 * [taylor]: Taking taylor expansion of N in N 0.074 * [taylor]: Taking taylor expansion of 1.0 in N 0.074 * [taylor]: Taking taylor expansion of (log N) in N 0.074 * [taylor]: Taking taylor expansion of N in N 0.075 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.075 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.075 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.075 * [taylor]: Taking taylor expansion of N in N 0.075 * [taylor]: Taking taylor expansion of 1.0 in N 0.075 * [taylor]: Taking taylor expansion of (log N) in N 0.075 * [taylor]: Taking taylor expansion of N in N 0.097 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.097 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.097 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.097 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.097 * [taylor]: Taking taylor expansion of N in N 0.097 * [taylor]: Taking taylor expansion of 1.0 in N 0.098 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.098 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.098 * [taylor]: Taking taylor expansion of N in N 0.098 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.098 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.098 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.098 * [taylor]: Taking taylor expansion of N in N 0.098 * [taylor]: Taking taylor expansion of 1.0 in N 0.099 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.099 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.099 * [taylor]: Taking taylor expansion of N in N 0.126 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.126 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.126 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.126 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.126 * [taylor]: Taking taylor expansion of 1.0 in N 0.126 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.126 * [taylor]: Taking taylor expansion of N in N 0.127 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.127 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.127 * [taylor]: Taking taylor expansion of -1 in N 0.127 * [taylor]: Taking taylor expansion of N in N 0.127 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.127 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.127 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.127 * [taylor]: Taking taylor expansion of 1.0 in N 0.127 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.127 * [taylor]: Taking taylor expansion of N in N 0.128 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.128 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.128 * [taylor]: Taking taylor expansion of -1 in N 0.128 * [taylor]: Taking taylor expansion of N in N 0.159 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.159 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.159 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.159 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.159 * [taylor]: Taking taylor expansion of N in N 0.159 * [taylor]: Taking taylor expansion of 1.0 in N 0.160 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.160 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.160 * [taylor]: Taking taylor expansion of N in N 0.160 * [taylor]: Taking taylor expansion of 1.0 in N 0.176 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.176 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.176 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.176 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.176 * [taylor]: Taking taylor expansion of N in N 0.176 * [taylor]: Taking taylor expansion of 1.0 in N 0.176 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.176 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.176 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.177 * [taylor]: Taking taylor expansion of N in N 0.177 * [taylor]: Taking taylor expansion of 1.0 in N 0.188 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.188 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.188 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.188 * [taylor]: Taking taylor expansion of 1.0 in N 0.188 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.188 * [taylor]: Taking taylor expansion of N in N 0.189 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.189 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.189 * [taylor]: Taking taylor expansion of 1.0 in N 0.189 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.189 * [taylor]: Taking taylor expansion of N in N 0.201 * * * [progress]: simplifying candidates 0.202 * [simplify]: Simplifying using # : (/ (+ 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)) (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))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 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)))) 0.202 * [simplify]: Sending expressions to egg_math: (/ (+ 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)) (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))) (- (+ (* 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 h0) (log h1)) (* 1/2 (/ (pow h0 2) (pow h1 2)))) (- (* h1 (/ 1 h0)) (+ (* h3 (/ 1 (pow h0 2))) (log (/ 1 h0)))) (- (+ (* h1 (/ 1 h0)) (log -1)) (+ (* h3 (/ 1 (pow h0 2))) (log (/ -1 h0)))) 0.206 * * [simplify]: iteration 0 : 212 enodes (cost 281 ) 0.209 * * [simplify]: iteration 1 : 547 enodes (cost 264 ) 0.217 * * [simplify]: iteration 2 : 1875 enodes (cost 250 ) 0.252 * * [simplify]: iteration 3 : 5001 enodes (cost 247 ) 0.253 * [simplify]: Simplified to: (/ (+ 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)) (* 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))) (- (+ (* 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 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))) 0.253 * * * [progress]: adding candidates to table 0.353 * * [progress]: iteration 2 / 4 0.353 * * * [progress]: picking best candidate 0.358 * * * * [pick]: Picked # 0.358 * * * [progress]: localizing error 0.362 * * * [progress]: generating rewritten candidates 0.362 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.368 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.387 * * * [progress]: generating series expansions 0.387 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.387 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 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 0.388 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.388 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.388 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.388 * [taylor]: Taking taylor expansion of N in N 0.388 * [taylor]: Taking taylor expansion of 1.0 in N 0.388 * [taylor]: Taking taylor expansion of N in N 0.401 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.401 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.401 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.401 * [taylor]: Taking taylor expansion of N in N 0.401 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.401 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.401 * [taylor]: Taking taylor expansion of N in N 0.401 * [taylor]: Taking taylor expansion of 1.0 in N 0.403 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.403 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.403 * [taylor]: Taking taylor expansion of N in N 0.403 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.403 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.403 * [taylor]: Taking taylor expansion of N in N 0.403 * [taylor]: Taking taylor expansion of 1.0 in N 0.431 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.431 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.431 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.431 * [taylor]: Taking taylor expansion of -1 in N 0.431 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.431 * [taylor]: Taking taylor expansion of N in N 0.431 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.431 * [taylor]: Taking taylor expansion of 1.0 in N 0.431 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.431 * [taylor]: Taking taylor expansion of N in N 0.434 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.434 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.434 * [taylor]: Taking taylor expansion of -1 in N 0.434 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.434 * [taylor]: Taking taylor expansion of N in N 0.434 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.434 * [taylor]: Taking taylor expansion of 1.0 in N 0.434 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.434 * [taylor]: Taking taylor expansion of N in N 0.464 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.464 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 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 0.464 * [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 0.471 * [taylor]: Taking taylor expansion of 1.0 in N 0.471 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.471 * [taylor]: Taking taylor expansion of N in N 0.471 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.471 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.471 * [taylor]: Taking taylor expansion of N in N 0.471 * [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 0.484 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.484 * [taylor]: Taking taylor expansion of -1 in N 0.484 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.484 * [taylor]: Taking taylor expansion of N in N 0.484 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.484 * [taylor]: Taking taylor expansion of 1.0 in N 0.484 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.484 * [taylor]: Taking taylor expansion of N in N 0.511 * * * [progress]: simplifying candidates 0.512 * [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) 0.512 * [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) 0.516 * * [simplify]: iteration 0 : 233 enodes (cost 373 ) 0.520 * * [simplify]: iteration 1 : 773 enodes (cost 351 ) 0.533 * * [simplify]: iteration 2 : 3489 enodes (cost 339 ) 0.607 * * [simplify]: iteration 3 : 5002 enodes (cost 339 ) 0.609 * [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) 0.609 * * * [progress]: adding candidates to table 0.719 * * [progress]: iteration 3 / 4 0.720 * * * [progress]: picking best candidate 0.724 * * * * [pick]: Picked # 0.724 * * * [progress]: localizing error 0.731 * * * [progress]: generating rewritten candidates 0.731 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.738 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.744 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.754 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.771 * * * [progress]: generating series expansions 0.771 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.771 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 0.771 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.771 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.771 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.771 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.771 * [taylor]: Taking taylor expansion of N in N 0.771 * [taylor]: Taking taylor expansion of 1.0 in N 0.771 * [taylor]: Taking taylor expansion of N in N 0.773 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.774 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.774 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.774 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.774 * [taylor]: Taking taylor expansion of N in N 0.774 * [taylor]: Taking taylor expansion of 1.0 in N 0.774 * [taylor]: Taking taylor expansion of N in N 0.792 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 0.792 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.792 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.792 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.792 * [taylor]: Taking taylor expansion of N in N 0.792 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.792 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.792 * [taylor]: Taking taylor expansion of N in N 0.792 * [taylor]: Taking taylor expansion of 1.0 in N 0.796 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.796 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.796 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.796 * [taylor]: Taking taylor expansion of N in N 0.796 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.796 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.796 * [taylor]: Taking taylor expansion of N in N 0.797 * [taylor]: Taking taylor expansion of 1.0 in N 0.832 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 0.832 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.832 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.832 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.832 * [taylor]: Taking taylor expansion of -1 in N 0.832 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.832 * [taylor]: Taking taylor expansion of N in N 0.832 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.832 * [taylor]: Taking taylor expansion of 1.0 in N 0.832 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.832 * [taylor]: Taking taylor expansion of N in N 0.845 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.845 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.845 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.845 * [taylor]: Taking taylor expansion of -1 in N 0.845 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.845 * [taylor]: Taking taylor expansion of N in N 0.845 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.845 * [taylor]: Taking taylor expansion of 1.0 in N 0.845 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.845 * [taylor]: Taking taylor expansion of N in N 0.884 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.884 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 0.884 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.884 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.884 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.884 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.884 * [taylor]: Taking taylor expansion of N in N 0.884 * [taylor]: Taking taylor expansion of 1.0 in N 0.884 * [taylor]: Taking taylor expansion of N in N 0.886 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.886 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.886 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.886 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.886 * [taylor]: Taking taylor expansion of N in N 0.886 * [taylor]: Taking taylor expansion of 1.0 in N 0.886 * [taylor]: Taking taylor expansion of N in N 0.903 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 0.904 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.904 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.904 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.904 * [taylor]: Taking taylor expansion of N in N 0.904 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.904 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.904 * [taylor]: Taking taylor expansion of N in N 0.904 * [taylor]: Taking taylor expansion of 1.0 in N 0.908 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.908 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.908 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.908 * [taylor]: Taking taylor expansion of N in N 0.909 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.909 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.909 * [taylor]: Taking taylor expansion of N in N 0.909 * [taylor]: Taking taylor expansion of 1.0 in N 0.948 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 0.948 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.948 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.948 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.948 * [taylor]: Taking taylor expansion of -1 in N 0.948 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.948 * [taylor]: Taking taylor expansion of N in N 0.948 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.948 * [taylor]: Taking taylor expansion of 1.0 in N 0.948 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.948 * [taylor]: Taking taylor expansion of N in N 0.955 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.955 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.955 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.955 * [taylor]: Taking taylor expansion of -1 in N 0.956 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.956 * [taylor]: Taking taylor expansion of N in N 0.956 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.956 * [taylor]: Taking taylor expansion of 1.0 in N 0.956 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.956 * [taylor]: Taking taylor expansion of N in N 0.994 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.994 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 0.994 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.994 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.994 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.994 * [taylor]: Taking taylor expansion of N in N 0.994 * [taylor]: Taking taylor expansion of 1.0 in N 0.994 * [taylor]: Taking taylor expansion of N in N 0.996 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.996 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.996 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.996 * [taylor]: Taking taylor expansion of N in N 0.996 * [taylor]: Taking taylor expansion of 1.0 in N 0.996 * [taylor]: Taking taylor expansion of N in N 1.008 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.008 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.008 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.008 * [taylor]: Taking taylor expansion of N in N 1.008 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.008 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.008 * [taylor]: Taking taylor expansion of N in N 1.008 * [taylor]: Taking taylor expansion of 1.0 in N 1.013 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.013 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.013 * [taylor]: Taking taylor expansion of N in N 1.013 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.013 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.013 * [taylor]: Taking taylor expansion of N in N 1.013 * [taylor]: Taking taylor expansion of 1.0 in N 1.020 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.020 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.020 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.020 * [taylor]: Taking taylor expansion of -1 in N 1.020 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.020 * [taylor]: Taking taylor expansion of N in N 1.020 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.020 * [taylor]: Taking taylor expansion of 1.0 in N 1.020 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.020 * [taylor]: Taking taylor expansion of N in N 1.027 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.027 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.027 * [taylor]: Taking taylor expansion of -1 in N 1.027 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.027 * [taylor]: Taking taylor expansion of N in N 1.027 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.027 * [taylor]: Taking taylor expansion of 1.0 in N 1.027 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.027 * [taylor]: Taking taylor expansion of N in N 1.038 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.038 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 1.038 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.038 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.038 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.038 * [taylor]: Taking taylor expansion of N in N 1.038 * [taylor]: Taking taylor expansion of 1.0 in N 1.038 * [taylor]: Taking taylor expansion of N in N 1.040 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.040 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.040 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.040 * [taylor]: Taking taylor expansion of N in N 1.040 * [taylor]: Taking taylor expansion of 1.0 in N 1.040 * [taylor]: Taking taylor expansion of N in N 1.046 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.046 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.046 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.046 * [taylor]: Taking taylor expansion of N in N 1.046 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.046 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.046 * [taylor]: Taking taylor expansion of N in N 1.047 * [taylor]: Taking taylor expansion of 1.0 in N 1.051 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.051 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.051 * [taylor]: Taking taylor expansion of N in N 1.051 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.051 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.051 * [taylor]: Taking taylor expansion of N in N 1.051 * [taylor]: Taking taylor expansion of 1.0 in N 1.058 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.058 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.058 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.058 * [taylor]: Taking taylor expansion of -1 in N 1.058 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.058 * [taylor]: Taking taylor expansion of N in N 1.058 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.058 * [taylor]: Taking taylor expansion of 1.0 in N 1.058 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.058 * [taylor]: Taking taylor expansion of N in N 1.065 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.065 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.065 * [taylor]: Taking taylor expansion of -1 in N 1.065 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.065 * [taylor]: Taking taylor expansion of N in N 1.066 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.066 * [taylor]: Taking taylor expansion of 1.0 in N 1.066 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.066 * [taylor]: Taking taylor expansion of N in N 1.076 * * * [progress]: simplifying candidates 1.078 * [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)))) 1.079 * [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)))) 1.089 * * [simplify]: iteration 0 : 196 enodes (cost 964 ) 1.092 * * [simplify]: iteration 1 : 456 enodes (cost 908 ) 1.100 * * [simplify]: iteration 2 : 1761 enodes (cost 868 ) 1.138 * * [simplify]: iteration 3 : 5002 enodes (cost 860 ) 1.143 * [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) 1.144 * * * [progress]: adding candidates to table 1.456 * * [progress]: iteration 4 / 4 1.456 * * * [progress]: picking best candidate 1.460 * * * * [pick]: Picked # 1.460 * * * [progress]: localizing error 1.470 * * * [progress]: generating rewritten candidates 1.470 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.477 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.482 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.492 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 1.516 * * * [progress]: generating series expansions 1.516 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.517 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 1.517 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 1.517 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.517 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.517 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.517 * [taylor]: Taking taylor expansion of N in N 1.517 * [taylor]: Taking taylor expansion of 1.0 in N 1.517 * [taylor]: Taking taylor expansion of N in N 1.519 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 1.519 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.519 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.519 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.519 * [taylor]: Taking taylor expansion of N in N 1.519 * [taylor]: Taking taylor expansion of 1.0 in N 1.519 * [taylor]: Taking taylor expansion of N in N 1.537 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 1.537 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 1.537 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.537 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.537 * [taylor]: Taking taylor expansion of N in N 1.537 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.537 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.537 * [taylor]: Taking taylor expansion of N in N 1.537 * [taylor]: Taking taylor expansion of 1.0 in N 1.542 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 1.542 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.542 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.542 * [taylor]: Taking taylor expansion of N in N 1.542 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.542 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.542 * [taylor]: Taking taylor expansion of N in N 1.542 * [taylor]: Taking taylor expansion of 1.0 in N 1.581 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 1.581 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.581 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.581 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.581 * [taylor]: Taking taylor expansion of -1 in N 1.581 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.581 * [taylor]: Taking taylor expansion of N in N 1.581 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.581 * [taylor]: Taking taylor expansion of 1.0 in N 1.581 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.581 * [taylor]: Taking taylor expansion of N in N 1.588 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.588 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.588 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.588 * [taylor]: Taking taylor expansion of -1 in N 1.588 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.588 * [taylor]: Taking taylor expansion of N in N 1.588 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.588 * [taylor]: Taking taylor expansion of 1.0 in N 1.588 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.588 * [taylor]: Taking taylor expansion of N in N 1.627 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.628 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.628 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.628 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.628 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.628 * [taylor]: Taking taylor expansion of N in N 1.628 * [taylor]: Taking taylor expansion of 1.0 in N 1.628 * [taylor]: Taking taylor expansion of N in N 1.628 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.628 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.628 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.629 * [taylor]: Taking taylor expansion of N in N 1.629 * [taylor]: Taking taylor expansion of 1.0 in N 1.629 * [taylor]: Taking taylor expansion of N in N 1.641 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.641 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.641 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.641 * [taylor]: Taking taylor expansion of N in N 1.641 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.641 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.641 * [taylor]: Taking taylor expansion of N in N 1.641 * [taylor]: Taking taylor expansion of 1.0 in N 1.643 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.643 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.643 * [taylor]: Taking taylor expansion of N in N 1.643 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.643 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.643 * [taylor]: Taking taylor expansion of N in N 1.643 * [taylor]: Taking taylor expansion of 1.0 in N 1.672 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.673 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.673 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.673 * [taylor]: Taking taylor expansion of -1 in N 1.673 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.673 * [taylor]: Taking taylor expansion of N in N 1.673 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.673 * [taylor]: Taking taylor expansion of 1.0 in N 1.673 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.673 * [taylor]: Taking taylor expansion of N in N 1.675 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.675 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.675 * [taylor]: Taking taylor expansion of -1 in N 1.675 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.675 * [taylor]: Taking taylor expansion of N in N 1.675 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.675 * [taylor]: Taking taylor expansion of 1.0 in N 1.675 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.675 * [taylor]: Taking taylor expansion of N in N 1.706 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.706 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 1.706 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.706 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.706 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.706 * [taylor]: Taking taylor expansion of N in N 1.706 * [taylor]: Taking taylor expansion of 1.0 in N 1.706 * [taylor]: Taking taylor expansion of N in N 1.707 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.707 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.707 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.707 * [taylor]: Taking taylor expansion of N in N 1.707 * [taylor]: Taking taylor expansion of 1.0 in N 1.707 * [taylor]: Taking taylor expansion of N in N 1.714 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.714 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.714 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.714 * [taylor]: Taking taylor expansion of N in N 1.714 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.714 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.714 * [taylor]: Taking taylor expansion of N in N 1.714 * [taylor]: Taking taylor expansion of 1.0 in N 1.719 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.719 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.719 * [taylor]: Taking taylor expansion of N in N 1.719 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.719 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.719 * [taylor]: Taking taylor expansion of N in N 1.719 * [taylor]: Taking taylor expansion of 1.0 in N 1.726 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.726 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.727 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.727 * [taylor]: Taking taylor expansion of -1 in N 1.727 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.727 * [taylor]: Taking taylor expansion of N in N 1.727 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.727 * [taylor]: Taking taylor expansion of 1.0 in N 1.727 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.727 * [taylor]: Taking taylor expansion of N in N 1.739 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.739 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.739 * [taylor]: Taking taylor expansion of -1 in N 1.739 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.739 * [taylor]: Taking taylor expansion of N in N 1.739 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.739 * [taylor]: Taking taylor expansion of 1.0 in N 1.739 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.739 * [taylor]: Taking taylor expansion of N in N 1.751 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 1.751 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 1.751 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.751 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.751 * [taylor]: Taking taylor expansion of N in N 1.751 * [taylor]: Taking taylor expansion of 1.0 in N 1.751 * [taylor]: Taking taylor expansion of N in N 1.752 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.752 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.752 * [taylor]: Taking taylor expansion of N in N 1.752 * [taylor]: Taking taylor expansion of 1.0 in N 1.752 * [taylor]: Taking taylor expansion of N in N 1.758 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 1.758 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.758 * [taylor]: Taking taylor expansion of N in N 1.758 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.758 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.758 * [taylor]: Taking taylor expansion of N in N 1.758 * [taylor]: Taking taylor expansion of 1.0 in N 1.758 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.758 * [taylor]: Taking taylor expansion of N in N 1.758 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.758 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.758 * [taylor]: Taking taylor expansion of N in N 1.758 * [taylor]: Taking taylor expansion of 1.0 in N 1.771 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 1.771 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.771 * [taylor]: Taking taylor expansion of -1 in N 1.771 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.771 * [taylor]: Taking taylor expansion of N in N 1.771 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.771 * [taylor]: Taking taylor expansion of 1.0 in N 1.771 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.771 * [taylor]: Taking taylor expansion of N in N 1.772 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.772 * [taylor]: Taking taylor expansion of -1 in N 1.772 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.772 * [taylor]: Taking taylor expansion of N in N 1.772 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.772 * [taylor]: Taking taylor expansion of 1.0 in N 1.772 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.772 * [taylor]: Taking taylor expansion of N in N 1.794 * * * [progress]: simplifying candidates 1.796 * [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 (/ (+ 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 (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 (+ 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)) (- (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)))) (- (+ (* 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)))) (- (+ (* +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)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 1.796 * [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 (/ (+ 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 (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 (+ 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)) (- (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)))) (- (+ (* h1 h0) (log h1)) (+ (* 1/2 (/ (pow h0 2) (pow h1 2))) (log h0))) (- (+ (* h6 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h4 (/ 1 (pow h0 2)))) (- (+ (* h6 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h4 (/ 1 (pow h0 2)))) (- (+ (* h2 (pow h0 2)) (- (+ (* h2 h0) (- h2))))) (- (+ (* h4 (/ 1 h0)) 1) (* h7 (/ 1 (pow h0 2)))) (- (+ (* h4 (/ 1 h0)) 1) (* h7 (/ 1 (pow h0 2)))) (+ (* h1 (/ 1 h0)) 1) (+ (* h1 (/ 1 h0)) 1) (+ (* h1 (/ 1 h0)) 1) 1.802 * * [simplify]: iteration 0 : 358 enodes (cost 855 ) 1.807 * * [simplify]: iteration 1 : 1064 enodes (cost 805 ) 1.826 * * [simplify]: iteration 2 : 4590 enodes (cost 773 ) 1.923 * * [simplify]: iteration 3 : 5002 enodes (cost 773 ) 1.926 * [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 (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)))) (sqrt (/ (+ N 1.0) N)) (* 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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)) (+ (- (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)) (- (+ (* 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)) (- (* (- +nan.0) (- (pow N 2) N)) +nan.0) (- 1 (- (/ (/ 0.125 N) N) (/ 0.5 N))) (- 1 (- (/ (/ 0.125 N) N) (/ 0.5 N))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 1.927 * * * [progress]: adding candidates to table 2.242 * [progress]: [Phase 3 of 3] Extracting. 2.242 * * [regime]: Finding splitpoints for: (# # #) 2.243 * * * [regime-changes]: Trying 1 branch expressions: (N) 2.243 * * * * [regimes]: Trying to branch on N from (# # #) 2.261 * * * [regime]: Found split indices: #