5.010 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.054 * * * [progress]: [2/2] Setting up program. 0.056 * [progress]: [Phase 2 of 3] Improving. 0.056 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.058 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.059 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.060 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.061 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.061 * * [progress]: iteration 1 / 4 0.061 * * * [progress]: picking best candidate 0.062 * * * * [pick]: Picked # 0.062 * * * [progress]: localizing error 0.069 * * * [progress]: generating rewritten candidates 0.069 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.072 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.085 * * * [progress]: generating series expansions 0.085 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.085 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.085 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.085 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.085 * [taylor]: Taking taylor expansion of N in N 0.085 * [taylor]: Taking taylor expansion of 1.0 in N 0.086 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.086 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.086 * [taylor]: Taking taylor expansion of N in N 0.086 * [taylor]: Taking taylor expansion of 1.0 in N 0.098 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 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) 1.0)) in N 0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.099 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.099 * [taylor]: Taking taylor expansion of N in N 0.099 * [taylor]: Taking taylor expansion of 1.0 in N 0.111 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.111 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.111 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.111 * [taylor]: Taking taylor expansion of 1.0 in N 0.111 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.111 * [taylor]: Taking taylor expansion of N in N 0.112 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.112 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.112 * [taylor]: Taking taylor expansion of 1.0 in N 0.112 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.112 * [taylor]: Taking taylor expansion of N in N 0.126 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.126 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.126 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.126 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.126 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.126 * [taylor]: Taking taylor expansion of N in N 0.126 * [taylor]: Taking taylor expansion of 1.0 in N 0.127 * [taylor]: Taking taylor expansion of (log N) in N 0.127 * [taylor]: Taking taylor expansion of N in N 0.127 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.127 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.127 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.127 * [taylor]: Taking taylor expansion of N in N 0.127 * [taylor]: Taking taylor expansion of 1.0 in N 0.127 * [taylor]: Taking taylor expansion of (log N) in N 0.127 * [taylor]: Taking taylor expansion of N in N 0.145 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.145 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.145 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.145 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.145 * [taylor]: Taking taylor expansion of N in N 0.145 * [taylor]: Taking taylor expansion of 1.0 in N 0.146 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.146 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.146 * [taylor]: Taking taylor expansion of N in N 0.146 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.146 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.146 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.146 * [taylor]: Taking taylor expansion of N in N 0.146 * [taylor]: Taking taylor expansion of 1.0 in N 0.147 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.147 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.147 * [taylor]: Taking taylor expansion of N in N 0.183 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.183 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.183 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.183 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.183 * [taylor]: Taking taylor expansion of 1.0 in N 0.183 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.183 * [taylor]: Taking taylor expansion of N in N 0.184 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.184 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.184 * [taylor]: Taking taylor expansion of -1 in N 0.184 * [taylor]: Taking taylor expansion of N in N 0.185 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.185 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.185 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.185 * [taylor]: Taking taylor expansion of 1.0 in N 0.185 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.185 * [taylor]: Taking taylor expansion of N in N 0.186 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.186 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.186 * [taylor]: Taking taylor expansion of -1 in N 0.186 * [taylor]: Taking taylor expansion of N in N 0.219 * * * [progress]: simplifying candidates 0.220 * [simplify]: Simplifying using # : (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.225 * * [simplify]: iteration 0 : 277 enodes (cost 598 ) 0.229 * * [simplify]: iteration 1 : 837 enodes (cost 444 ) 0.245 * * [simplify]: iteration 2 : 3748 enodes (cost 347 ) 0.340 * * [simplify]: iteration 3 : 5001 enodes (cost 345 ) 0.342 * [simplify]: Simplified to: (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (log (/ 1 N)) (log (/ 1 N)) (log (/ 1 N)) (log (/ 1 N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (fma (log (+ N 1.0)) (+ (log (+ N 1.0)) (log N)) (* (log N) (log N))) (log (/ 1 N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (log (/ 1 N)) (fma 1.0 N (- (log 1.0) (* 1/2 (/ (pow N 2) (pow 1.0 2))))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (log N)) (fma 1.0 (/ 1 N) (- (log -1) (fma 0.5 (/ 1 (pow N 2)) (log (/ -1 N))))) (fma 1.0 N (- (log 1.0) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N)))) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) 0.342 * * * [progress]: adding candidates to table 0.475 * * [progress]: iteration 2 / 4 0.475 * * * [progress]: picking best candidate 0.480 * * * * [pick]: Picked # 0.480 * * * [progress]: localizing error 0.484 * * * [progress]: generating rewritten candidates 0.484 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.488 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.498 * * * [progress]: generating series expansions 0.498 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.498 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.498 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.498 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.498 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.498 * [taylor]: Taking taylor expansion of N in N 0.498 * [taylor]: Taking taylor expansion of 1.0 in N 0.498 * [taylor]: Taking taylor expansion of N in N 0.499 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.499 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.499 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.499 * [taylor]: Taking taylor expansion of N in N 0.499 * [taylor]: Taking taylor expansion of 1.0 in N 0.499 * [taylor]: Taking taylor expansion of N in N 0.513 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.513 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.513 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.513 * [taylor]: Taking taylor expansion of N in N 0.513 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.513 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.513 * [taylor]: Taking taylor expansion of N in N 0.513 * [taylor]: Taking taylor expansion of 1.0 in N 0.515 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.515 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.515 * [taylor]: Taking taylor expansion of N in N 0.515 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.515 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.515 * [taylor]: Taking taylor expansion of N in N 0.515 * [taylor]: Taking taylor expansion of 1.0 in N 0.545 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.545 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.545 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.545 * [taylor]: Taking taylor expansion of -1 in N 0.545 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.545 * [taylor]: Taking taylor expansion of N in N 0.545 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.545 * [taylor]: Taking taylor expansion of 1.0 in N 0.545 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.545 * [taylor]: Taking taylor expansion of N in N 0.548 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.548 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.548 * [taylor]: Taking taylor expansion of -1 in N 0.548 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.548 * [taylor]: Taking taylor expansion of N in N 0.549 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.549 * [taylor]: Taking taylor expansion of 1.0 in N 0.549 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.549 * [taylor]: Taking taylor expansion of N in N 0.580 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.580 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.581 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.581 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.581 * [taylor]: Taking taylor expansion of N in N 0.581 * [taylor]: Taking taylor expansion of 1.0 in N 0.581 * [taylor]: Taking taylor expansion of N in N 0.581 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.581 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.581 * [taylor]: Taking taylor expansion of N in N 0.581 * [taylor]: Taking taylor expansion of 1.0 in N 0.581 * [taylor]: Taking taylor expansion of N in N 0.587 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.587 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.587 * [taylor]: Taking taylor expansion of N in N 0.588 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.588 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.588 * [taylor]: Taking taylor expansion of N in N 0.588 * [taylor]: Taking taylor expansion of 1.0 in N 0.588 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.588 * [taylor]: Taking taylor expansion of N in N 0.588 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.588 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.588 * [taylor]: Taking taylor expansion of N in N 0.588 * [taylor]: Taking taylor expansion of 1.0 in N 0.601 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.601 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.601 * [taylor]: Taking taylor expansion of -1 in N 0.601 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.601 * [taylor]: Taking taylor expansion of N in N 0.601 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.601 * [taylor]: Taking taylor expansion of 1.0 in N 0.601 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.601 * [taylor]: Taking taylor expansion of N in N 0.602 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.602 * [taylor]: Taking taylor expansion of -1 in N 0.602 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.602 * [taylor]: Taking taylor expansion of N in N 0.602 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.602 * [taylor]: Taking taylor expansion of 1.0 in N 0.602 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.602 * [taylor]: Taking taylor expansion of N in N 0.630 * * * [progress]: simplifying candidates 0.631 * [simplify]: Simplifying using # : (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ N 1.0) N)) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.635 * * [simplify]: iteration 0 : 243 enodes (cost 383 ) 0.639 * * [simplify]: iteration 1 : 808 enodes (cost 358 ) 0.653 * * [simplify]: iteration 2 : 3663 enodes (cost 347 ) 0.731 * * [simplify]: iteration 3 : 5001 enodes (cost 344 ) 0.734 * [simplify]: Simplified to: (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (fma 2 (log (cbrt (+ N 1.0))) (log (/ 1 (sqrt N)))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (+ N 1.0) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (fma N (* 1.0 (- 1.0 N)) (pow N 3)) (* N (- N 1.0)) (fma 1.0 N (- (log 1.0) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N)))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3))) (fma 1.0 (/ 1 N) 1) (fma 1.0 (/ 1 N) 1) (fma 1.0 (/ 1 N) 1) 0.734 * * * [progress]: adding candidates to table 0.851 * * [progress]: iteration 3 / 4 0.851 * * * [progress]: picking best candidate 0.854 * * * * [pick]: Picked # 0.855 * * * [progress]: localizing error 0.864 * * * [progress]: generating rewritten candidates 0.864 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.867 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.870 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.898 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.917 * * * [progress]: generating series expansions 0.917 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.917 * [approximate]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in (N) around 0 0.917 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 0.917 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.917 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.917 * [taylor]: Taking taylor expansion of N in N 0.917 * [taylor]: Taking taylor expansion of 1.0 in N 0.920 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 0.920 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.920 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.920 * [taylor]: Taking taylor expansion of N in N 0.920 * [taylor]: Taking taylor expansion of 1.0 in N 0.950 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in (N) around 0 0.951 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 0.951 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 0.951 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.951 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.951 * [taylor]: Taking taylor expansion of N in N 0.951 * [taylor]: Taking taylor expansion of 1.0 in N 0.953 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 0.953 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 0.953 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.953 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.953 * [taylor]: Taking taylor expansion of N in N 0.953 * [taylor]: Taking taylor expansion of 1.0 in N 0.978 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in (N) around 0 0.978 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 0.978 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 0.978 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.978 * [taylor]: Taking taylor expansion of 1.0 in N 0.978 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.978 * [taylor]: Taking taylor expansion of N in N 0.980 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 0.980 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 0.980 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.980 * [taylor]: Taking taylor expansion of 1.0 in N 0.980 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.980 * [taylor]: Taking taylor expansion of N in N 1.000 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.000 * [approximate]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in (N) around 0 1.000 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 1.000 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.000 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.000 * [taylor]: Taking taylor expansion of N in N 1.000 * [taylor]: Taking taylor expansion of 1.0 in N 1.003 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 1.003 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.003 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.003 * [taylor]: Taking taylor expansion of N in N 1.003 * [taylor]: Taking taylor expansion of 1.0 in N 1.034 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in (N) around 0 1.034 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 1.034 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.034 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.034 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.034 * [taylor]: Taking taylor expansion of N in N 1.034 * [taylor]: Taking taylor expansion of 1.0 in N 1.035 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 1.036 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.036 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.036 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.036 * [taylor]: Taking taylor expansion of N in N 1.036 * [taylor]: Taking taylor expansion of 1.0 in N 1.061 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in (N) around 0 1.061 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 1.061 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.061 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.061 * [taylor]: Taking taylor expansion of 1.0 in N 1.061 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.061 * [taylor]: Taking taylor expansion of N in N 1.063 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 1.063 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.063 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.063 * [taylor]: Taking taylor expansion of 1.0 in N 1.063 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.063 * [taylor]: Taking taylor expansion of N in N 1.083 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.083 * [approximate]: Taking taylor expansion of (- (* 2 (log (sqrt (+ N 1.0)))) (log N)) in (N) around 0 1.083 * [taylor]: Taking taylor expansion of (- (* 2 (log (sqrt (+ N 1.0)))) (log N)) in N 1.084 * [taylor]: Taking taylor expansion of (* 2 (log (sqrt (+ N 1.0)))) in N 1.084 * [taylor]: Taking taylor expansion of 2 in N 1.084 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 1.084 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.084 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.084 * [taylor]: Taking taylor expansion of N in N 1.084 * [taylor]: Taking taylor expansion of 1.0 in N 1.086 * [taylor]: Taking taylor expansion of (log N) in N 1.086 * [taylor]: Taking taylor expansion of N in N 1.086 * [taylor]: Taking taylor expansion of (- (* 2 (log (sqrt (+ N 1.0)))) (log N)) in N 1.086 * [taylor]: Taking taylor expansion of (* 2 (log (sqrt (+ N 1.0)))) in N 1.086 * [taylor]: Taking taylor expansion of 2 in N 1.086 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 1.086 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.086 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.086 * [taylor]: Taking taylor expansion of N in N 1.086 * [taylor]: Taking taylor expansion of 1.0 in N 1.088 * [taylor]: Taking taylor expansion of (log N) in N 1.088 * [taylor]: Taking taylor expansion of N in N 1.135 * [approximate]: Taking taylor expansion of (- (* 2 (log (sqrt (+ (/ 1 N) 1.0)))) (log (/ 1 N))) in (N) around 0 1.135 * [taylor]: Taking taylor expansion of (- (* 2 (log (sqrt (+ (/ 1 N) 1.0)))) (log (/ 1 N))) in N 1.135 * [taylor]: Taking taylor expansion of (* 2 (log (sqrt (+ (/ 1 N) 1.0)))) in N 1.135 * [taylor]: Taking taylor expansion of 2 in N 1.135 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 1.135 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.135 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.135 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.135 * [taylor]: Taking taylor expansion of N in N 1.135 * [taylor]: Taking taylor expansion of 1.0 in N 1.143 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.143 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.143 * [taylor]: Taking taylor expansion of N in N 1.143 * [taylor]: Taking taylor expansion of (- (* 2 (log (sqrt (+ (/ 1 N) 1.0)))) (log (/ 1 N))) in N 1.143 * [taylor]: Taking taylor expansion of (* 2 (log (sqrt (+ (/ 1 N) 1.0)))) in N 1.143 * [taylor]: Taking taylor expansion of 2 in N 1.143 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 1.143 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.143 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.143 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.143 * [taylor]: Taking taylor expansion of N in N 1.144 * [taylor]: Taking taylor expansion of 1.0 in N 1.145 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.145 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.145 * [taylor]: Taking taylor expansion of N in N 1.173 * [approximate]: Taking taylor expansion of (- (* 2 (log (sqrt (- 1.0 (/ 1 N))))) (log (/ -1 N))) in (N) around 0 1.173 * [taylor]: Taking taylor expansion of (- (* 2 (log (sqrt (- 1.0 (/ 1 N))))) (log (/ -1 N))) in N 1.173 * [taylor]: Taking taylor expansion of (* 2 (log (sqrt (- 1.0 (/ 1 N))))) in N 1.173 * [taylor]: Taking taylor expansion of 2 in N 1.173 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 1.173 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.173 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.173 * [taylor]: Taking taylor expansion of 1.0 in N 1.173 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.173 * [taylor]: Taking taylor expansion of N in N 1.175 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 1.175 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.175 * [taylor]: Taking taylor expansion of -1 in N 1.175 * [taylor]: Taking taylor expansion of N in N 1.176 * [taylor]: Taking taylor expansion of (- (* 2 (log (sqrt (- 1.0 (/ 1 N))))) (log (/ -1 N))) in N 1.176 * [taylor]: Taking taylor expansion of (* 2 (log (sqrt (- 1.0 (/ 1 N))))) in N 1.176 * [taylor]: Taking taylor expansion of 2 in N 1.176 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 1.176 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.176 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.176 * [taylor]: Taking taylor expansion of 1.0 in N 1.176 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.176 * [taylor]: Taking taylor expansion of N in N 1.178 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 1.178 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.178 * [taylor]: Taking taylor expansion of -1 in N 1.178 * [taylor]: Taking taylor expansion of N in N 1.207 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.207 * [approximate]: Taking taylor expansion of (- (log (sqrt (+ N 1.0))) (log N)) in (N) around 0 1.207 * [taylor]: Taking taylor expansion of (- (log (sqrt (+ N 1.0))) (log N)) in N 1.207 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 1.207 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.207 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.207 * [taylor]: Taking taylor expansion of N in N 1.207 * [taylor]: Taking taylor expansion of 1.0 in N 1.210 * [taylor]: Taking taylor expansion of (log N) in N 1.210 * [taylor]: Taking taylor expansion of N in N 1.210 * [taylor]: Taking taylor expansion of (- (log (sqrt (+ N 1.0))) (log N)) in N 1.210 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 1.210 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.210 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.210 * [taylor]: Taking taylor expansion of N in N 1.210 * [taylor]: Taking taylor expansion of 1.0 in N 1.212 * [taylor]: Taking taylor expansion of (log N) in N 1.212 * [taylor]: Taking taylor expansion of N in N 1.257 * [approximate]: Taking taylor expansion of (- (log (sqrt (+ (/ 1 N) 1.0))) (log (/ 1 N))) in (N) around 0 1.257 * [taylor]: Taking taylor expansion of (- (log (sqrt (+ (/ 1 N) 1.0))) (log (/ 1 N))) in N 1.257 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 1.257 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.257 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.257 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.257 * [taylor]: Taking taylor expansion of N in N 1.257 * [taylor]: Taking taylor expansion of 1.0 in N 1.259 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.259 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.259 * [taylor]: Taking taylor expansion of N in N 1.259 * [taylor]: Taking taylor expansion of (- (log (sqrt (+ (/ 1 N) 1.0))) (log (/ 1 N))) in N 1.259 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 1.259 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.259 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.259 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.259 * [taylor]: Taking taylor expansion of N in N 1.260 * [taylor]: Taking taylor expansion of 1.0 in N 1.261 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.261 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.261 * [taylor]: Taking taylor expansion of N in N 1.284 * [approximate]: Taking taylor expansion of (- (log (sqrt (- 1.0 (/ 1 N)))) (log (/ -1 N))) in (N) around 0 1.284 * [taylor]: Taking taylor expansion of (- (log (sqrt (- 1.0 (/ 1 N)))) (log (/ -1 N))) in N 1.284 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 1.284 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.284 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.284 * [taylor]: Taking taylor expansion of 1.0 in N 1.284 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.284 * [taylor]: Taking taylor expansion of N in N 1.287 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 1.287 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.287 * [taylor]: Taking taylor expansion of -1 in N 1.287 * [taylor]: Taking taylor expansion of N in N 1.287 * [taylor]: Taking taylor expansion of (- (log (sqrt (- 1.0 (/ 1 N)))) (log (/ -1 N))) in N 1.287 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 1.287 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.287 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.287 * [taylor]: Taking taylor expansion of 1.0 in N 1.287 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.287 * [taylor]: Taking taylor expansion of N in N 1.289 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 1.289 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.289 * [taylor]: Taking taylor expansion of -1 in N 1.289 * [taylor]: Taking taylor expansion of N in N 1.320 * * * [progress]: simplifying candidates 1.322 * [simplify]: Simplifying using # : (expm1 (log (sqrt (+ N 1.0)))) (log1p (log (sqrt (+ N 1.0)))) (log (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))))) (log (cbrt (sqrt (+ N 1.0)))) (log (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (sqrt (cbrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt 1)) (log (sqrt (+ N 1.0))) (log (sqrt 1)) (log (sqrt (+ N 1.0))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log 1) (log (sqrt (+ N 1.0))) (log (sqrt (+ (pow N 3) (pow 1.0 3)))) (log (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (sqrt (- (* N N) (* 1.0 1.0)))) (log (sqrt (- N 1.0))) (log (+ N 1.0)) (log (sqrt (+ N 1.0))) (log (+ N 1.0)) (log (log (sqrt (+ N 1.0)))) (exp (log (sqrt (+ N 1.0)))) (* (cbrt (log (sqrt (+ N 1.0)))) (cbrt (log (sqrt (+ N 1.0))))) (cbrt (log (sqrt (+ N 1.0)))) (* (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) (sqrt (log (sqrt (+ N 1.0)))) (sqrt (log (sqrt (+ N 1.0)))) (expm1 (log (sqrt (+ N 1.0)))) (log1p (log (sqrt (+ N 1.0)))) (log (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))))) (log (cbrt (sqrt (+ N 1.0)))) (log (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (sqrt (cbrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt 1)) (log (sqrt (+ N 1.0))) (log (sqrt 1)) (log (sqrt (+ N 1.0))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log 1) (log (sqrt (+ N 1.0))) (log (sqrt (+ (pow N 3) (pow 1.0 3)))) (log (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (sqrt (- (* N N) (* 1.0 1.0)))) (log (sqrt (- N 1.0))) (log (+ N 1.0)) (log (sqrt (+ N 1.0))) (log (+ N 1.0)) (log (log (sqrt (+ N 1.0)))) (exp (log (sqrt (+ N 1.0)))) (* (cbrt (log (sqrt (+ N 1.0)))) (cbrt (log (sqrt (+ N 1.0))))) (cbrt (log (sqrt (+ N 1.0)))) (* (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) (sqrt (log (sqrt (+ N 1.0)))) (sqrt (log (sqrt (+ N 1.0)))) (expm1 (+ (log (sqrt (+ N 1.0))) (- (log (sqrt (+ N 1.0))) (log N)))) (log1p (+ (log (sqrt (+ N 1.0))) (- (log (sqrt (+ N 1.0))) (log N)))) (* (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N)) (* (sqrt (+ N 1.0)) (exp (- (log (sqrt (+ N 1.0))) (log N)))) (log (+ (log (sqrt (+ N 1.0))) (- (log (sqrt (+ N 1.0))) (log N)))) (exp (+ (log (sqrt (+ N 1.0))) (- (log (sqrt (+ N 1.0))) (log N)))) (* (cbrt (+ (log (sqrt (+ N 1.0))) (- (log (sqrt (+ N 1.0))) (log N)))) (cbrt (+ (log (sqrt (+ N 1.0))) (- (log (sqrt (+ N 1.0))) (log N))))) (cbrt (+ (log (sqrt (+ N 1.0))) (- (log (sqrt (+ N 1.0))) (log N)))) (* (* (+ (log (sqrt (+ N 1.0))) (- (log (sqrt (+ N 1.0))) (log N))) (+ (log (sqrt (+ N 1.0))) (- (log (sqrt (+ N 1.0))) (log N)))) (+ (log (sqrt (+ N 1.0))) (- (log (sqrt (+ N 1.0))) (log N)))) (sqrt (+ (log (sqrt (+ N 1.0))) (- (log (sqrt (+ N 1.0))) (log N)))) (sqrt (+ (log (sqrt (+ N 1.0))) (- (log (sqrt (+ N 1.0))) (log N)))) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (- (log (sqrt (+ N 1.0))) (log N)) 3)) (+ (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (- (* (- (log (sqrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N))) (* (log (sqrt (+ N 1.0))) (- (log (sqrt (+ N 1.0))) (log N))))) (- (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (* (- (log (sqrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)))) (- (log (sqrt (+ N 1.0))) (- (log (sqrt (+ N 1.0))) (log N))) (+ (log (sqrt (+ N 1.0))) (- (log (sqrt (+ N 1.0))) (log N))) (+ (log (sqrt (+ N 1.0))) (- (log (sqrt (+ N 1.0))) (log N))) (+ (log (sqrt (+ N 1.0))) (- (log (sqrt (+ N 1.0))) (log N))) (+ (log (sqrt (+ N 1.0))) (- (log (sqrt (+ N 1.0))) (log N))) (+ (log (sqrt (+ N 1.0))) (- (log (sqrt (+ N 1.0))) (log N))) (+ (log (sqrt (+ N 1.0))) (- (log (sqrt (+ N 1.0))) (log N))) (+ (log (sqrt (+ N 1.0))) (- (log (sqrt (+ N 1.0))) (log N))) (+ (log (sqrt (+ N 1.0))) (- (log (sqrt (+ N 1.0))) (log N))) (+ (log (sqrt (+ N 1.0))) (- (log (sqrt (+ N 1.0))) (log N))) (+ (log (sqrt (+ N 1.0))) (- (log (sqrt (+ N 1.0))) (log N))) (+ (log (sqrt (+ N 1.0))) (fma 1/2 (log (+ N 1.0)) (- (* (log N) 1)))) (+ (log (sqrt (+ N 1.0))) (fma 1/2 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))) (+ (log (sqrt (+ N 1.0))) (fma 1/2 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N)))))) (+ (log (sqrt (+ N 1.0))) (fma 1/2 (log (+ N 1.0)) (- (* (log N) 1)))) (+ (log (sqrt (+ N 1.0))) (fma 1 (log (sqrt (+ N 1.0))) (- (* (log N) 1)))) (+ (log (sqrt (+ N 1.0))) (fma 1 (log (sqrt (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))) (+ (log (sqrt (+ N 1.0))) (fma 1 (log (sqrt (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N)))))) (+ (log (sqrt (+ N 1.0))) (fma 1 (log (sqrt (+ N 1.0))) (- (* (log N) 1)))) (+ (log (sqrt (+ N 1.0))) (fma (/ 1 2) (log (+ N 1.0)) (- (* (log N) 1)))) (+ (log (sqrt (+ N 1.0))) (fma (/ 1 2) (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))) (+ (log (sqrt (+ N 1.0))) (fma (/ 1 2) (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N)))))) (+ (log (sqrt (+ N 1.0))) (fma (/ 1 2) (log (+ N 1.0)) (- (* (log N) 1)))) (+ (log (sqrt (+ N 1.0))) (fma (* (cbrt (log (sqrt (+ N 1.0)))) (cbrt (log (sqrt (+ N 1.0))))) (cbrt (log (sqrt (+ N 1.0)))) (- (* (log N) 1)))) (+ (log (sqrt (+ N 1.0))) (fma (* (cbrt (log (sqrt (+ N 1.0)))) (cbrt (log (sqrt (+ N 1.0))))) (cbrt (log (sqrt (+ N 1.0)))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))) (+ (log (sqrt (+ N 1.0))) (fma (* (cbrt (log (sqrt (+ N 1.0)))) (cbrt (log (sqrt (+ N 1.0))))) (cbrt (log (sqrt (+ N 1.0)))) (- (* (sqrt (log N)) (sqrt (log N)))))) (+ (log (sqrt (+ N 1.0))) (fma (* (cbrt (log (sqrt (+ N 1.0)))) (cbrt (log (sqrt (+ N 1.0))))) (cbrt (log (sqrt (+ N 1.0)))) (- (* (log N) 1)))) (+ (log (sqrt (+ N 1.0))) (fma (sqrt (log (sqrt (+ N 1.0)))) (sqrt (log (sqrt (+ N 1.0)))) (- (* (log N) 1)))) (+ (log (sqrt (+ N 1.0))) (fma (sqrt (log (sqrt (+ N 1.0)))) (sqrt (log (sqrt (+ N 1.0)))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))) (+ (log (sqrt (+ N 1.0))) (fma (sqrt (log (sqrt (+ N 1.0)))) (sqrt (log (sqrt (+ N 1.0)))) (- (* (sqrt (log N)) (sqrt (log N)))))) (+ (log (sqrt (+ N 1.0))) (fma (sqrt (log (sqrt (+ N 1.0)))) (sqrt (log (sqrt (+ N 1.0)))) (- (* (log N) 1)))) (+ (log (sqrt (+ N 1.0))) (fma 1 (log (sqrt (+ N 1.0))) (- (* (log N) 1)))) (+ (log (sqrt (+ N 1.0))) (fma 1 (log (sqrt (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))) (+ (log (sqrt (+ N 1.0))) (fma 1 (log (sqrt (+ N 1.0))) (- (* (sqrt 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(+ (log (sqrt (+ N 1.0))) (- (log (sqrt (+ N 1.0))) (log N))) (+ (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (- (log (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (- (log (sqrt (+ N 1.0))) (log N))) (- (log (sqrt (- N 1.0))) (- (log (sqrt (+ N 1.0))) (log N))) (fma 1/2 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1/2 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1/2 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1/2 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (sqrt (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (sqrt (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) 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(sqrt (+ N 1.0)))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log (sqrt (+ N 1.0)))) (cbrt (log (sqrt (+ N 1.0))))) (cbrt (log (sqrt (+ N 1.0)))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log (sqrt (+ N 1.0)))) (cbrt (log (sqrt (+ N 1.0))))) (cbrt (log (sqrt (+ N 1.0)))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (sqrt (+ N 1.0)))) (sqrt (log (sqrt (+ N 1.0)))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (sqrt (+ N 1.0)))) (sqrt (log (sqrt (+ N 1.0)))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log (sqrt (+ N 1.0)))) (sqrt (log (sqrt (+ N 1.0)))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log (sqrt (+ N 1.0)))) (sqrt (log (sqrt (+ N 1.0)))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (sqrt (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (sqrt (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (sqrt (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (sqrt (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log (sqrt (+ N 1.0))) (log N))) (log1p (- (log (sqrt (+ N 1.0))) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (sqrt (+ N 1.0)) N) (log (- (log (sqrt (+ N 1.0))) (log N))) (exp (- (log (sqrt (+ N 1.0))) (log N))) (* (cbrt (- (log (sqrt (+ N 1.0))) (log N))) (cbrt (- (log (sqrt (+ N 1.0))) (log N)))) (cbrt (- (log (sqrt (+ N 1.0))) (log N))) (* (* (- (log (sqrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N))) (- (log (sqrt (+ N 1.0))) (log N))) (sqrt (- (log (sqrt (+ N 1.0))) (log N))) (sqrt (- (log (sqrt (+ N 1.0))) (log N))) (- (pow (log (sqrt (+ N 1.0))) 3) (pow (log N) 3)) (+ (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (+ (* (log N) (log N)) (* (log (sqrt (+ N 1.0))) (log N)))) (- (log N)) (- (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (* (log N) (log N))) (+ (log (sqrt (+ N 1.0))) (log N)) (+ (sqrt (log (sqrt (+ N 1.0)))) (sqrt (log N))) (- (sqrt (log (sqrt (+ N 1.0)))) (sqrt (log N))) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log (* (cbrt N) (cbrt N)))) (- (log (sqrt (+ N 1.0))) (log (sqrt N))) (- (log (sqrt (+ N 1.0))) (log 1)) (- (log (cbrt (sqrt (+ N 1.0)))) (log N)) (- (log (sqrt (cbrt (+ N 1.0)))) (log N)) (- (log (sqrt (sqrt (+ N 1.0)))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (sqrt (sqrt (+ N 1.0)))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (+ (log (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log N)) (+ (log (sqrt (- N 1.0))) (log N)) (- (log N)) (- (+ (log (sqrt 1.0)) (* 1/2 (/ N (pow (sqrt 1.0) 2)))) (* 1/4 (/ (pow N 2) (pow (sqrt 1.0) 4)))) (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) (- (+ (log (sqrt 1.0)) (* 1/2 (/ N (pow (sqrt 1.0) 2)))) (* 1/4 (/ (pow N 2) (pow (sqrt 1.0) 4)))) (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) (- (+ (* 2 (log (sqrt 1.0))) (/ N (pow (sqrt 1.0) 2))) (+ (* 1/2 (/ (pow N 2) (pow (sqrt 1.0) 4))) (log N))) (- (+ (* 2 (log +nan.0)) (log (/ 1 N))) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) (- (+ (* 2 (log +nan.0)) (log (/ -1 N))) (+ (* +nan.0 (/ 1 N)) (- (log -1) (* +nan.0 (/ 1 (pow N 2)))))) (- (+ (log (sqrt 1.0)) (* 1/2 (/ N (pow (sqrt 1.0) 2)))) (+ (* 1/4 (/ (pow N 2) (pow (sqrt 1.0) 4))) (log N))) (- (+ (log +nan.0) (log (/ 1 N))) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) (- (+ (log +nan.0) (log (/ -1 N))) (+ (* +nan.0 (/ 1 N)) (- (log -1) (* +nan.0 (/ 1 (pow N 2)))))) 1.330 * * [simplify]: iteration 0 : 482 enodes (cost 1801 ) 1.338 * * [simplify]: iteration 1 : 1396 enodes (cost 1430 ) 1.365 * * [simplify]: iteration 2 : 5001 enodes (cost 1124 ) 1.370 * [simplify]: Simplified to: (expm1 (log (sqrt (+ N 1.0)))) (log1p (log (sqrt (+ N 1.0)))) (* 2 (log (cbrt (sqrt (+ N 1.0))))) (log (cbrt (sqrt (+ N 1.0)))) (log (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (sqrt (cbrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) 0 (log (sqrt (+ N 1.0))) 0 (log (sqrt (+ N 1.0))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) 0 (log (sqrt (+ N 1.0))) (log (sqrt (+ (pow N 3) (pow 1.0 3)))) (log (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (sqrt (- (* N N) (* 1.0 1.0)))) (log (sqrt (- N 1.0))) (log (+ N 1.0)) (log (sqrt (+ N 1.0))) (log (+ N 1.0)) (log (log (sqrt (+ N 1.0)))) (sqrt (+ N 1.0)) (* (cbrt (log (sqrt (+ N 1.0)))) (cbrt (log (sqrt (+ N 1.0))))) (cbrt (log (sqrt (+ N 1.0)))) (pow (log (sqrt (+ N 1.0))) 3) (sqrt (log (sqrt (+ N 1.0)))) (sqrt (log (sqrt (+ N 1.0)))) (expm1 (log (sqrt (+ N 1.0)))) (log1p (log (sqrt (+ N 1.0)))) (* 2 (log (cbrt (sqrt (+ N 1.0))))) (log (cbrt (sqrt (+ N 1.0)))) (log (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (sqrt (cbrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) 0 (log (sqrt (+ N 1.0))) 0 (log (sqrt (+ N 1.0))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) 0 (log (sqrt (+ N 1.0))) (log (sqrt (+ (pow N 3) (pow 1.0 3)))) (log (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (sqrt (- (* N N) (* 1.0 1.0)))) (log (sqrt (- N 1.0))) (log (+ N 1.0)) (log (sqrt (+ N 1.0))) (log (+ N 1.0)) (log (log (sqrt (+ N 1.0)))) (sqrt (+ N 1.0)) (* (cbrt (log (sqrt (+ N 1.0)))) (cbrt (log (sqrt (+ N 1.0))))) (cbrt (log (sqrt (+ N 1.0)))) (pow (log (sqrt (+ N 1.0))) 3) (sqrt (log (sqrt (+ N 1.0)))) (sqrt (log (sqrt (+ N 1.0)))) (expm1 (+ (log (sqrt (+ N 1.0))) (- (log (sqrt (+ N 1.0))) (log N)))) (log1p (+ (log (sqrt (+ N 1.0))) (- (log (sqrt (+ N 1.0))) (log N)))) (/ (+ N 1.0) N) (/ (+ N 1.0) N) (log (+ (log (sqrt (+ N 1.0))) (- (log (sqrt (+ N 1.0))) (log N)))) (/ (+ N 1.0) N) (* (cbrt (+ (log (sqrt (+ N 1.0))) (- (log (sqrt (+ N 1.0))) (log N)))) (cbrt (+ (log (sqrt (+ N 1.0))) (- (log (sqrt (+ N 1.0))) (log N))))) (cbrt (+ (log (sqrt (+ N 1.0))) (- (log (sqrt (+ N 1.0))) (log N)))) (pow (- (* 2 (log (sqrt (+ N 1.0)))) (log N)) 3) (sqrt (+ (log (sqrt (+ N 1.0))) (- (log (sqrt (+ N 1.0))) (log N)))) (sqrt (+ (log (sqrt (+ N 1.0))) (- (log (sqrt (+ N 1.0))) (log N)))) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (- (log (sqrt (+ N 1.0))) (log N)) 3)) (+ (* (- (log (sqrt (+ N 1.0))) (log N)) (log (/ 1 N))) (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))))) (* (- (* 2 (log (sqrt (+ N 1.0)))) (log N)) (log N)) (log N) (- (+ (log (+ N 1.0)) 0) (log N)) (- (+ (log (+ N 1.0)) 0) (log N)) (- (+ (log (+ N 1.0)) 0) (log N)) (- (+ (log (+ N 1.0)) 0) (log N)) (- (+ (log (+ N 1.0)) 0) (log N)) (- (+ (log (+ N 1.0)) 0) (log N)) (- (+ (log (+ N 1.0)) 0) (log N)) (- (+ (log (+ N 1.0)) 0) (log N)) (- (+ (log (+ N 1.0)) 0) (log N)) (- (+ (log (+ N 1.0)) 0) (log N)) (- (+ (log (+ N 1.0)) 0) (log N)) (- (+ (log (+ N 1.0)) 0) (log N)) (- (+ (log (+ N 1.0)) 0) (log N)) (- (+ (log (+ N 1.0)) 0) (log N)) (- (+ (log (+ N 1.0)) 0) (log N)) (- (+ (log (+ N 1.0)) 0) (log N)) (- (+ (log (+ N 1.0)) 0) (log N)) (- (+ (log (+ N 1.0)) 0) (log N)) (- (+ (log (+ N 1.0)) 0) (log N)) (- (+ (log (+ N 1.0)) 0) (log N)) (- (+ (log (+ N 1.0)) 0) (log N)) (- (+ (log (+ N 1.0)) 0) (log N)) (+ (- (log (sqrt (+ N 1.0))) (log N)) (pow (cbrt (log (sqrt (+ N 1.0)))) 3)) (+ (- (log (sqrt (+ N 1.0))) (log N)) (pow (cbrt (log (sqrt (+ N 1.0)))) 3)) (+ (- (log (sqrt (+ N 1.0))) (log N)) (pow (cbrt (log (sqrt (+ N 1.0)))) 3)) (+ (- (log (sqrt (+ N 1.0))) (log N)) (pow (cbrt (log (sqrt (+ N 1.0)))) 3)) (- (+ (log (+ N 1.0)) 0) (log N)) (- (+ (log (+ N 1.0)) 0) (log N)) (- (+ (log (+ N 1.0)) 0) (log N)) (- (+ (log (+ N 1.0)) 0) (log N)) (- (+ (log (+ N 1.0)) 0) (log N)) (- (+ (log (+ N 1.0)) 0) (log N)) (- (+ (log (+ N 1.0)) 0) (log N)) (- (+ (log (+ N 1.0)) 0) (log N)) (log (+ N 1.0)) (fma 2 (log (cbrt (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) (+ (log (sqrt (+ N 1.0))) (log (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))))) (+ (log (sqrt (+ N 1.0))) (log (sqrt (sqrt (+ N 1.0))))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (+ (log (sqrt (+ N 1.0))) (log (sqrt (sqrt (+ N 1.0))))) (log (sqrt (+ N 1.0))) (log (+ N 1.0)) (+ (log (cbrt (sqrt (+ N 1.0)))) (- (log (sqrt (+ N 1.0))) (log N))) (+ (log (sqrt (cbrt (+ N 1.0)))) (- (log (sqrt (+ N 1.0))) (log N))) (+ (log (sqrt (sqrt (+ N 1.0)))) (- (log (sqrt (+ N 1.0))) (log N))) (- (+ (log (+ N 1.0)) 0) (log N)) (- (+ (log (+ N 1.0)) 0) (log N)) (+ (log (sqrt (sqrt (+ N 1.0)))) (- (log (sqrt (+ N 1.0))) (log N))) (- (+ (log (+ N 1.0)) 0) (log N)) (log (+ N 1.0)) (- (log (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (- (log (sqrt (+ N 1.0))) (log N))) (- (log (sqrt (- N 1.0))) (- (log (sqrt (+ N 1.0))) (log N))) (- (log (sqrt (+ N 1.0))) (log N)) 0 (- (log (sqrt (+ N 1.0))) (log N)) 0 (- (log (sqrt (+ N 1.0))) (log N)) 0 (- (log (sqrt (+ N 1.0))) (log N)) 0 (- (log (sqrt (+ N 1.0))) (log N)) 0 (- (log (sqrt (+ N 1.0))) (log N)) 0 (- (log (sqrt (+ N 1.0))) (log N)) 0 (- (log (sqrt (+ N 1.0))) (log N)) 0 (- (log (sqrt (+ N 1.0))) (log N)) 0 (- (log (sqrt (+ N 1.0))) (log N)) 0 (- (log (sqrt (+ N 1.0))) (log N)) 0 (- (log (sqrt (+ N 1.0))) (log N)) 0 (+ (pow (cbrt (log (sqrt (+ N 1.0)))) 3) (log (/ 1 N))) 0 (+ (pow (cbrt (log (sqrt (+ N 1.0)))) 3) (log (/ 1 N))) 0 (+ (pow (cbrt (log (sqrt (+ N 1.0)))) 3) (log (/ 1 N))) 0 (+ (pow (cbrt (log (sqrt (+ N 1.0)))) 3) (log (/ 1 N))) 0 (- (log (sqrt (+ N 1.0))) (log N)) 0 (- (log (sqrt (+ N 1.0))) (log N)) 0 (- (log (sqrt (+ N 1.0))) (log N)) 0 (- (log (sqrt (+ N 1.0))) (log N)) 0 (- (log (sqrt (+ N 1.0))) (log N)) 0 (- (log (sqrt (+ N 1.0))) (log N)) 0 (- (log (sqrt (+ N 1.0))) (log N)) 0 (- (log (sqrt (+ N 1.0))) (log N)) 0 (expm1 (- (log (sqrt (+ N 1.0))) (log N))) (log1p (- (log (sqrt (+ N 1.0))) (log N))) (log (/ 1 N)) (log (/ 1 N)) (log (/ 1 N)) (log (/ 1 N)) (log (/ 1 N)) (log (/ 1 N)) (/ (sqrt (+ N 1.0)) N) (log (- (log (sqrt (+ N 1.0))) (log N))) (/ (sqrt (+ N 1.0)) N) (* (cbrt (- (log (sqrt (+ N 1.0))) (log N))) (cbrt (- (log (sqrt (+ N 1.0))) (log N)))) (cbrt (- (log (sqrt (+ N 1.0))) (log N))) (pow (- (log (sqrt (+ N 1.0))) (log N)) 3) (sqrt (- (log (sqrt (+ N 1.0))) (log N))) (sqrt (- (log (sqrt (+ N 1.0))) (log N))) (- (pow (log (sqrt (+ N 1.0))) 3) (pow (log N) 3)) (+ (* (log (sqrt (+ N 1.0))) (+ (log (sqrt (+ N 1.0))) (log N))) (* (log N) (log N))) (log (/ 1 N)) (- (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (* (log N) (log N))) (+ (log (sqrt (+ N 1.0))) (log N)) (+ (sqrt (log (sqrt (+ N 1.0)))) (sqrt (log N))) (- (sqrt (log (sqrt (+ N 1.0)))) (sqrt (log N))) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (* 2 (log (cbrt N)))) (- (log (sqrt (+ N 1.0))) (log (sqrt N))) (log (sqrt (+ N 1.0))) (- (log (cbrt (sqrt (+ N 1.0)))) (log N)) (- (log (sqrt (cbrt (+ N 1.0)))) (log N)) (- (log (sqrt (sqrt (+ N 1.0)))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (sqrt (sqrt (+ N 1.0)))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (+ (log (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log N)) (+ (log (sqrt (- N 1.0))) (log N)) (log (/ 1 N)) (fma 1/2 (/ N 1.0) (- (log (sqrt 1.0)) (* (/ 1/4 1.0) (/ (pow N 2) 1.0)))) (- (log +nan.0) (- (/ +nan.0 N) (/ (/ +nan.0 N) N))) (- (log +nan.0) (- (/ +nan.0 N) (/ (/ +nan.0 N) N))) (fma 1/2 (/ N 1.0) (- (log (sqrt 1.0)) (* (/ 1/4 1.0) (/ (pow N 2) 1.0)))) (- (log +nan.0) (- (/ +nan.0 N) (/ (/ +nan.0 N) N))) (- (log +nan.0) (- (/ +nan.0 N) (/ (/ +nan.0 N) N))) (- (/ N 1.0) (- (fma (/ 1/2 1.0) (/ (pow N 2) 1.0) (log N)) (* 2 (log (sqrt 1.0))))) (- (fma 2 (log +nan.0) (log (/ 1 N))) (- (/ +nan.0 N) (/ (/ +nan.0 N) N))) (- (- (fma 2 (log +nan.0) (log (/ -1 N))) (log -1)) (* (/ 1 N) (- +nan.0 (/ +nan.0 N)))) (fma 1/2 (/ N 1.0) (- (log (sqrt 1.0)) (fma 1/4 (/ (pow N 2) (pow (sqrt 1.0) 4)) (log N)))) (- (- (log +nan.0) (log N)) (- (/ +nan.0 N) (/ (/ +nan.0 N) N))) (+ (+ (log +nan.0) (- (log (/ -1 N)) (fma +nan.0 (/ 1 N) (log -1)))) (/ (/ +nan.0 N) N)) 1.371 * * * [progress]: adding candidates to table 1.711 * * [progress]: iteration 4 / 4 1.711 * * * [progress]: picking best candidate 1.713 * * * * [pick]: Picked # 1.713 * * * [progress]: localizing error 1.722 * * * [progress]: generating rewritten candidates 1.722 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 1.727 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.780 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.835 * * * [progress]: generating series expansions 1.835 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 1.836 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 1.836 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.836 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.836 * [taylor]: Taking taylor expansion of N in N 1.836 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.836 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.836 * [taylor]: Taking taylor expansion of N in N 1.843 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 1.843 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.843 * [taylor]: Taking taylor expansion of N in N 1.843 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.843 * [taylor]: Taking taylor expansion of N in N 1.847 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 1.847 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.847 * [taylor]: Taking taylor expansion of N in N 1.847 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.847 * [taylor]: Taking taylor expansion of N in N 1.851 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.851 * [approximate]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in (N) around 0 1.851 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in N 1.851 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 1.851 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 1.852 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.852 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.852 * [taylor]: Taking taylor expansion of N in N 1.852 * [taylor]: Taking taylor expansion of 0.5 in N 1.852 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.852 * [taylor]: Taking taylor expansion of N in N 1.853 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in N 1.853 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 1.853 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 1.853 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.853 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.853 * [taylor]: Taking taylor expansion of N in N 1.853 * [taylor]: Taking taylor expansion of 0.5 in N 1.853 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.853 * [taylor]: Taking taylor expansion of N in N 1.876 * [approximate]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in (N) around 0 1.876 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 1.876 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.876 * [taylor]: Taking taylor expansion of N in N 1.876 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 1.876 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 1.876 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.876 * [taylor]: Taking taylor expansion of N in N 1.877 * [taylor]: Taking taylor expansion of 0.5 in N 1.877 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 1.877 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.877 * [taylor]: Taking taylor expansion of N in N 1.877 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 1.877 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 1.877 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.877 * [taylor]: Taking taylor expansion of N in N 1.877 * [taylor]: Taking taylor expansion of 0.5 in N 1.897 * [approximate]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in (N) around 0 1.897 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in N 1.897 * [taylor]: Taking taylor expansion of -1 in N 1.897 * [taylor]: Taking taylor expansion of (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2)) in N 1.897 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 1.897 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 1.897 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.897 * [taylor]: Taking taylor expansion of N in N 1.897 * [taylor]: Taking taylor expansion of 0.5 in N 1.897 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.897 * [taylor]: Taking taylor expansion of N in N 1.897 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in N 1.897 * [taylor]: Taking taylor expansion of -1 in N 1.897 * [taylor]: Taking taylor expansion of (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2)) in N 1.897 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 1.897 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 1.897 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.897 * [taylor]: Taking taylor expansion of N in N 1.897 * [taylor]: Taking taylor expansion of 0.5 in N 1.897 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.897 * [taylor]: Taking taylor expansion of N in N 1.927 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.927 * [approximate]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 1.927 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 1.927 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 1.927 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 1.927 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.927 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 1.927 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.927 * [taylor]: Taking taylor expansion of N in N 1.928 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 1.928 * [taylor]: Taking taylor expansion of 1.0 in N 1.928 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.928 * [taylor]: Taking taylor expansion of N in N 1.928 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 1.928 * [taylor]: Taking taylor expansion of 0.5 in N 1.928 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.928 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.928 * [taylor]: Taking taylor expansion of N in N 1.929 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 1.929 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 1.929 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 1.929 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.929 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 1.929 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.929 * [taylor]: Taking taylor expansion of N in N 1.930 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 1.930 * [taylor]: Taking taylor expansion of 1.0 in N 1.930 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.930 * [taylor]: Taking taylor expansion of N in N 1.930 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 1.930 * [taylor]: Taking taylor expansion of 0.5 in N 1.930 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.930 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.930 * [taylor]: Taking taylor expansion of N in N 1.939 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 1.939 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 1.939 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 1.939 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 1.939 * [taylor]: Taking taylor expansion of 1.0 in N 1.939 * [taylor]: Taking taylor expansion of N in N 1.939 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 1.939 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.939 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.939 * [taylor]: Taking taylor expansion of N in N 1.939 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 1.939 * [taylor]: Taking taylor expansion of 0.5 in N 1.939 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.939 * [taylor]: Taking taylor expansion of N in N 1.939 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 1.939 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 1.939 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 1.939 * [taylor]: Taking taylor expansion of 1.0 in N 1.939 * [taylor]: Taking taylor expansion of N in N 1.939 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 1.939 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.939 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.939 * [taylor]: Taking taylor expansion of N in N 1.939 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 1.939 * [taylor]: Taking taylor expansion of 0.5 in N 1.939 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.939 * [taylor]: Taking taylor expansion of N in N 1.947 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 1.947 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 1.947 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 1.947 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 1.947 * [taylor]: Taking taylor expansion of 0.5 in N 1.947 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.947 * [taylor]: Taking taylor expansion of N in N 1.947 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 1.947 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 1.947 * [taylor]: Taking taylor expansion of 1.0 in N 1.947 * [taylor]: Taking taylor expansion of N in N 1.947 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 1.947 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.947 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.947 * [taylor]: Taking taylor expansion of N in N 1.947 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 1.947 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 1.947 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 1.947 * [taylor]: Taking taylor expansion of 0.5 in N 1.947 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.947 * [taylor]: Taking taylor expansion of N in N 1.947 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 1.948 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 1.948 * [taylor]: Taking taylor expansion of 1.0 in N 1.948 * [taylor]: Taking taylor expansion of N in N 1.948 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 1.948 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.948 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.948 * [taylor]: Taking taylor expansion of N in N 1.956 * * * [progress]: simplifying candidates 1.962 * [simplify]: Simplifying using # : (expm1 (/ 1 (pow N 2))) (log1p (/ 1 (pow N 2))) (- 2) (- (* (log N) 2)) (- (* (log N) 2)) (- (log (pow N 2))) (- 0 (* (log N) 2)) (- 0 (* (log N) 2)) (- 0 (log (pow N 2))) (- (log 1) (* (log N) 2)) (- (log 1) (* (log N) 2)) (- (log 1) (log (pow N 2))) (log (/ 1 (pow N 2))) (exp (/ 1 (pow N 2))) (/ (* (* 1 1) 1) (* (* (pow N 2) (pow N 2)) (pow N 2))) (* (cbrt (/ 1 (pow N 2))) (cbrt (/ 1 (pow N 2)))) (cbrt (/ 1 (pow N 2))) (* (* (/ 1 (pow N 2)) (/ 1 (pow N 2))) (/ 1 (pow N 2))) (sqrt (/ 1 (pow N 2))) (sqrt (/ 1 (pow N 2))) (- 1) (- (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt N) (cbrt N)) 2)) (/ (cbrt 1) (pow (cbrt N) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt N) 2)) (/ (cbrt 1) (pow (sqrt N) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 2)) (/ (cbrt 1) (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) N) (/ (cbrt 1) N) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ (cbrt 1) (cbrt (pow N 2))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow N 2))) (/ (cbrt 1) (sqrt (pow N 2))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) (pow N (/ 2 2))) (/ (cbrt 1) (pow N (/ 2 2))) (/ (sqrt 1) (pow (* (cbrt N) (cbrt N)) 2)) (/ (sqrt 1) (pow (cbrt N) 2)) (/ (sqrt 1) (pow (sqrt N) 2)) (/ (sqrt 1) (pow (sqrt N) 2)) (/ (sqrt 1) (pow 1 2)) (/ (sqrt 1) (pow N 2)) (/ (sqrt 1) N) (/ (sqrt 1) N) (/ (sqrt 1) (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ (sqrt 1) (cbrt (pow N 2))) (/ (sqrt 1) (sqrt (pow N 2))) (/ (sqrt 1) (sqrt (pow N 2))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow N 2)) (/ (sqrt 1) (pow N (/ 2 2))) (/ (sqrt 1) (pow N (/ 2 2))) (/ 1 (pow (* (cbrt N) (cbrt N)) 2)) (/ 1 (pow (cbrt N) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow 1 2)) (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (sqrt (pow N 2))) (/ 1 (sqrt (pow N 2))) (/ 1 1) (/ 1 (pow N 2)) (/ 1 (pow N (/ 2 2))) (/ 1 (pow N (/ 2 2))) (/ 1 (pow N 2)) (/ (pow N 2) 1) (/ 1 (pow (* (cbrt N) (cbrt N)) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow 1 2)) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (sqrt (pow N 2))) (/ 1 1) (/ 1 (pow N (/ 2 2))) (/ (pow N 2) (cbrt 1)) (/ (pow N 2) (sqrt 1)) (/ (pow N 2) 1) (expm1 (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log1p (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (+ (- (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- 0 (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- 0 (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- 0 (log (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log 1) (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log 1) (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log 1) (log (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (log (/ 1 (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (exp (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (/ (* (* 1 1) 1) (* (* (pow N 2) (pow N 2)) (pow N 2))) (* (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)) (- (/ 0.3333333333333333 N) 0.5))) (* (* (* (/ 1 (pow N 2)) (/ 1 (pow N 2))) (/ 1 (pow N 2))) (* (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)) (- (/ 0.3333333333333333 N) 0.5))) (* (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)))) (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (* (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (sqrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (sqrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* 1 (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) (* (pow N 2) (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5)))) (* 1 (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) (* (pow N 2) (+ (/ 0.3333333333333333 N) 0.5)) (* (sqrt (/ 1 (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (sqrt (/ 1 (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (pow (sqrt N) 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (pow (sqrt N) 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) N) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) N) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (sqrt (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (sqrt (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (pow N (/ 2 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (pow N (/ 2 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow (sqrt N) 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow (sqrt N) 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 N) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 N) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (sqrt (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (sqrt (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N (/ 2 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N (/ 2 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N 2)) (fma (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) (cbrt (/ 0.3333333333333333 N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))))) (* (/ 1 (pow N 2)) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (* (/ 1 (pow N 2)) (fma (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) (cbrt (/ 0.3333333333333333 N)) (- (* (sqrt 0.5) (sqrt 0.5))))) (* (/ 1 (pow N 2)) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5)))) (* (/ 1 (pow N 2)) (fma (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) (cbrt (/ 0.3333333333333333 N)) (- (* 0.5 1)))) (* (/ 1 (pow N 2)) (fma (- 0.5) 1 (* 0.5 1))) (* (/ 1 (pow N 2)) (fma (sqrt (/ 0.3333333333333333 N)) (sqrt (/ 0.3333333333333333 N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))))) (* (/ 1 (pow N 2)) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (* (/ 1 (pow N 2)) (fma (sqrt (/ 0.3333333333333333 N)) (sqrt (/ 0.3333333333333333 N)) (- (* (sqrt 0.5) (sqrt 0.5))))) (* (/ 1 (pow N 2)) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5)))) (* (/ 1 (pow N 2)) (fma (sqrt (/ 0.3333333333333333 N)) (sqrt (/ 0.3333333333333333 N)) (- (* 0.5 1)))) (* (/ 1 (pow N 2)) (fma (- 0.5) 1 (* 0.5 1))) (* (/ 1 (pow N 2)) (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt N) (cbrt N))) (/ (cbrt 0.3333333333333333) (cbrt N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))))) (* (/ 1 (pow N 2)) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (* (/ 1 (pow N 2)) (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt N) (cbrt N))) (/ (cbrt 0.3333333333333333) (cbrt N)) (- (* (sqrt 0.5) (sqrt 0.5))))) (* (/ 1 (pow N 2)) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5)))) (* (/ 1 (pow N 2)) (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt N) (cbrt N))) (/ (cbrt 0.3333333333333333) (cbrt N)) (- (* 0.5 1)))) (* (/ 1 (pow N 2)) (fma (- 0.5) 1 (* 0.5 1))) (* (/ 1 (pow N 2)) (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt N)) (/ (cbrt 0.3333333333333333) (sqrt N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))))) (* (/ 1 (pow N 2)) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (* (/ 1 (pow N 2)) (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt N)) (/ (cbrt 0.3333333333333333) (sqrt N)) (- (* (sqrt 0.5) (sqrt 0.5))))) (* (/ 1 (pow N 2)) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5)))) (* (/ 1 (pow N 2)) (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt N)) (/ (cbrt 0.3333333333333333) (sqrt N)) (- (* 0.5 1)))) (* (/ 1 (pow N 2)) (fma (- 0.5) 1 (* 0.5 1))) (* (/ 1 (pow N 2)) (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) (/ (cbrt 0.3333333333333333) N) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))))) (* (/ 1 (pow N 2)) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (* (/ 1 (pow N 2)) (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) (/ (cbrt 0.3333333333333333) N) (- (* (sqrt 0.5) (sqrt 0.5))))) (* (/ 1 (pow N 2)) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5)))) (* (/ 1 (pow N 2)) (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) (/ (cbrt 0.3333333333333333) N) (- (* 0.5 1)))) (* (/ 1 (pow N 2)) (fma (- 0.5) 1 (* 0.5 1))) (* (/ 1 (pow N 2)) (fma (/ (sqrt 0.3333333333333333) (* (cbrt N) (cbrt N))) (/ (sqrt 0.3333333333333333) (cbrt N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))))) (* (/ 1 (pow N 2)) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (* (/ 1 (pow N 2)) (fma (/ (sqrt 0.3333333333333333) (* (cbrt N) (cbrt N))) (/ (sqrt 0.3333333333333333) (cbrt N)) (- (* (sqrt 0.5) (sqrt 0.5))))) (* (/ 1 (pow N 2)) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5)))) (* (/ 1 (pow N 2)) (fma (/ (sqrt 0.3333333333333333) (* (cbrt N) (cbrt N))) (/ (sqrt 0.3333333333333333) (cbrt N)) (- (* 0.5 1)))) (* (/ 1 (pow N 2)) (fma (- 0.5) 1 (* 0.5 1))) (* (/ 1 (pow N 2)) (fma (/ (sqrt 0.3333333333333333) (sqrt N)) (/ (sqrt 0.3333333333333333) (sqrt N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))))) (* (/ 1 (pow N 2)) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (* (/ 1 (pow N 2)) (fma (/ (sqrt 0.3333333333333333) (sqrt N)) (/ (sqrt 0.3333333333333333) (sqrt N)) (- (* (sqrt 0.5) (sqrt 0.5))))) (* (/ 1 (pow N 2)) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5)))) (* (/ 1 (pow N 2)) (fma (/ (sqrt 0.3333333333333333) (sqrt N)) (/ (sqrt 0.3333333333333333) (sqrt N)) (- (* 0.5 1)))) (* (/ 1 (pow N 2)) (fma (- 0.5) 1 (* 0.5 1))) (* (/ 1 (pow N 2)) (fma (/ (sqrt 0.3333333333333333) 1) (/ (sqrt 0.3333333333333333) N) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))))) (* (/ 1 (pow N 2)) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (* (/ 1 (pow N 2)) (fma (/ (sqrt 0.3333333333333333) 1) (/ (sqrt 0.3333333333333333) N) (- (* (sqrt 0.5) (sqrt 0.5))))) (* (/ 1 (pow N 2)) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5)))) (* (/ 1 (pow N 2)) (fma (/ (sqrt 0.3333333333333333) 1) (/ (sqrt 0.3333333333333333) N) (- (* 0.5 1)))) (* (/ 1 (pow N 2)) (fma (- 0.5) 1 (* 0.5 1))) (* (/ 1 (pow N 2)) (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 0.3333333333333333 (cbrt N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))))) (* (/ 1 (pow N 2)) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (* (/ 1 (pow N 2)) (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 0.3333333333333333 (cbrt N)) (- (* (sqrt 0.5) (sqrt 0.5))))) (* (/ 1 (pow N 2)) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5)))) (* (/ 1 (pow N 2)) (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 0.3333333333333333 (cbrt N)) (- (* 0.5 1)))) (* (/ 1 (pow N 2)) (fma (- 0.5) 1 (* 0.5 1))) (* (/ 1 (pow N 2)) (fma (/ 1 (sqrt N)) (/ 0.3333333333333333 (sqrt N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))))) (* (/ 1 (pow N 2)) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (* (/ 1 (pow N 2)) (fma (/ 1 (sqrt N)) (/ 0.3333333333333333 (sqrt N)) (- (* (sqrt 0.5) (sqrt 0.5))))) (* (/ 1 (pow N 2)) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5)))) (* (/ 1 (pow N 2)) (fma (/ 1 (sqrt N)) (/ 0.3333333333333333 (sqrt N)) (- (* 0.5 1)))) (* (/ 1 (pow N 2)) (fma (- 0.5) 1 (* 0.5 1))) (* (/ 1 (pow N 2)) (fma (/ 1 1) (/ 0.3333333333333333 N) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))))) (* (/ 1 (pow N 2)) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (* (/ 1 (pow N 2)) (fma (/ 1 1) (/ 0.3333333333333333 N) (- (* (sqrt 0.5) (sqrt 0.5))))) (* (/ 1 (pow N 2)) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5)))) (* (/ 1 (pow N 2)) (fma (/ 1 1) (/ 0.3333333333333333 N) (- (* 0.5 1)))) (* (/ 1 (pow N 2)) (fma (- 0.5) 1 (* 0.5 1))) (* (/ 1 (pow N 2)) (fma 1 (/ 0.3333333333333333 N) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))))) (* (/ 1 (pow N 2)) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (* (/ 1 (pow N 2)) (fma 1 (/ 0.3333333333333333 N) (- (* (sqrt 0.5) (sqrt 0.5))))) (* (/ 1 (pow N 2)) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5)))) (* (/ 1 (pow N 2)) (fma 1 (/ 0.3333333333333333 N) (- (* 0.5 1)))) (* (/ 1 (pow N 2)) (fma (- 0.5) 1 (* 0.5 1))) (* (/ 1 (pow N 2)) (fma 0.3333333333333333 (/ 1 N) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))))) (* (/ 1 (pow N 2)) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (* (/ 1 (pow N 2)) (fma 0.3333333333333333 (/ 1 N) (- (* (sqrt 0.5) (sqrt 0.5))))) (* (/ 1 (pow N 2)) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5)))) (* (/ 1 (pow N 2)) (fma 0.3333333333333333 (/ 1 N) (- (* 0.5 1)))) (* (/ 1 (pow N 2)) (fma (- 0.5) 1 (* 0.5 1))) (* (/ 1 (pow N 2)) (/ 0.3333333333333333 N)) (* (/ 1 (pow N 2)) (- 0.5)) (* (/ 1 (pow N 2)) (/ 0.3333333333333333 N)) (* (/ 1 (pow N 2)) (- 0.5)) (* (fma (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) (cbrt (/ 0.3333333333333333 N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (/ 1 (pow N 2))) (* (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (/ 1 (pow N 2))) (* (fma (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) (cbrt (/ 0.3333333333333333 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(pow N 2)) (/ 1.0 N)) (fma (fma (- 0.5) 1 0.5) (/ 1 (pow N 2)) (/ 1.0 N)) (fma (fma (- 0.5) 1 0.5) (/ 1 (pow N 2)) (/ 1.0 N)) (fma (fma (- 0.5) 1 0.5) (/ 1 (pow N 2)) (/ 1.0 N)) (fma (fma (- 0.5) 1 0.5) (/ 1 (pow N 2)) (/ 1.0 N)) (fma (fma (- 0.5) 1 0.5) (/ 1 (pow N 2)) (/ 1.0 N)) (fma (fma (- 0.5) 1 0.5) (/ 1 (pow N 2)) (/ 1.0 N)) (fma (fma (- 0.5) 1 0.5) (/ 1 (pow N 2)) (/ 1.0 N)) (- (/ 1.0 N) (/ 0.5 (pow N 2))) (- (/ 1.0 N) (/ 0.5 (pow N 2))) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) 2.077 * * * [progress]: adding candidates to table 2.734 * [progress]: [Phase 3 of 3] Extracting. 2.734 * * [regime]: Finding splitpoints for: (# # # #) 2.735 * * * [regime-changes]: Trying 1 branch expressions: (N) 2.735 * * * * [regimes]: Trying to branch on N from (# # # #) 2.759 * * * [regime]: Found split indices: #