8.597 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.041 * * * [progress]: [2/2] Setting up program. 0.043 * [progress]: [Phase 2 of 3] Improving. 0.043 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.046 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.047 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.049 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.049 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.049 * * [progress]: iteration 1 / 4 0.049 * * * [progress]: picking best candidate 0.051 * * * * [pick]: Picked # 0.051 * * * [progress]: localizing error 0.061 * * * [progress]: generating rewritten candidates 0.061 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.069 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.074 * * * [progress]: generating series expansions 0.074 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.074 * [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 0.075 * [taylor]: Taking taylor expansion of (log N) in N 0.075 * [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 0.076 * [taylor]: Taking taylor expansion of (log N) in N 0.076 * [taylor]: Taking taylor expansion of N in N 0.094 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.094 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.094 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.094 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.094 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.094 * [taylor]: Taking taylor expansion of N in N 0.095 * [taylor]: Taking taylor expansion of 1.0 in N 0.095 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.095 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.095 * [taylor]: Taking taylor expansion of N in N 0.096 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.096 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.096 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.096 * [taylor]: Taking taylor expansion of N in N 0.096 * [taylor]: Taking taylor expansion of 1.0 in N 0.097 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.097 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.097 * [taylor]: Taking taylor expansion of N in N 0.127 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 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 0.129 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.129 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.129 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.129 * [taylor]: Taking taylor expansion of 1.0 in N 0.129 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.129 * [taylor]: Taking taylor expansion of N in N 0.130 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.130 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.130 * [taylor]: Taking taylor expansion of -1 in N 0.130 * [taylor]: Taking taylor expansion of N in N 0.167 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.168 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.168 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.168 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.168 * [taylor]: Taking taylor expansion of N in N 0.168 * [taylor]: Taking taylor expansion of 1.0 in N 0.168 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.168 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.168 * [taylor]: Taking taylor expansion of N in N 0.168 * [taylor]: Taking taylor expansion of 1.0 in N 0.180 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.180 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.180 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.180 * [taylor]: Taking taylor expansion of N in N 0.180 * [taylor]: Taking taylor expansion of 1.0 in N 0.181 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.181 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.181 * [taylor]: Taking taylor expansion of N in N 0.181 * [taylor]: Taking taylor expansion of 1.0 in N 0.193 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.193 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.194 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.194 * [taylor]: Taking taylor expansion of 1.0 in N 0.194 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.194 * [taylor]: Taking taylor expansion of N in N 0.195 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.195 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.195 * [taylor]: Taking taylor expansion of 1.0 in N 0.195 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.195 * [taylor]: Taking taylor expansion of N in N 0.209 * * * [progress]: simplifying candidates 0.210 * [simplify]: Simplifying using # : (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)) (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))) (- (+ (* 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)))) 0.215 * * [simplify]: iteration 0 : 277 enodes (cost 598 ) 0.220 * * [simplify]: iteration 1 : 837 enodes (cost 444 ) 0.237 * * [simplify]: iteration 2 : 3748 enodes (cost 347 ) 0.334 * * [simplify]: iteration 3 : 5001 enodes (cost 343 ) 0.340 * [simplify]: Simplified to: (- (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)) (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))) (fma 1.0 N (- (log 1.0) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log 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)) (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))))) 0.340 * * * [progress]: adding candidates to table 0.454 * * [progress]: iteration 2 / 4 0.454 * * * [progress]: picking best candidate 0.461 * * * * [pick]: Picked # 0.461 * * * [progress]: localizing error 0.466 * * * [progress]: generating rewritten candidates 0.466 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.471 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.481 * * * [progress]: generating series expansions 0.482 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.482 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.482 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.482 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.482 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.482 * [taylor]: Taking taylor expansion of N in N 0.482 * [taylor]: Taking taylor expansion of 1.0 in N 0.482 * [taylor]: Taking taylor expansion of N in N 0.483 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.483 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.483 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.483 * [taylor]: Taking taylor expansion of N in N 0.483 * [taylor]: Taking taylor expansion of 1.0 in N 0.483 * [taylor]: Taking taylor expansion of N in N 0.497 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.497 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.497 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.497 * [taylor]: Taking taylor expansion of N in N 0.497 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.497 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.497 * [taylor]: Taking taylor expansion of N in N 0.498 * [taylor]: Taking taylor expansion of 1.0 in N 0.499 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.499 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.499 * [taylor]: Taking taylor expansion of N in N 0.500 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.500 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.500 * [taylor]: Taking taylor expansion of N in N 0.500 * [taylor]: Taking taylor expansion of 1.0 in N 0.526 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.526 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.526 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.526 * [taylor]: Taking taylor expansion of -1 in N 0.526 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.526 * [taylor]: Taking taylor expansion of N in N 0.526 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.526 * [taylor]: Taking taylor expansion of 1.0 in N 0.526 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.526 * [taylor]: Taking taylor expansion of N in N 0.529 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.529 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.529 * [taylor]: Taking taylor expansion of -1 in N 0.529 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.529 * [taylor]: Taking taylor expansion of N in N 0.529 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.529 * [taylor]: Taking taylor expansion of 1.0 in N 0.529 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.529 * [taylor]: Taking taylor expansion of N in N 0.565 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.565 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.565 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.565 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.565 * [taylor]: Taking taylor expansion of N in N 0.565 * [taylor]: Taking taylor expansion of 1.0 in N 0.565 * [taylor]: Taking taylor expansion of N in N 0.566 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.566 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.566 * [taylor]: Taking taylor expansion of N in N 0.566 * [taylor]: Taking taylor expansion of 1.0 in N 0.566 * [taylor]: Taking taylor expansion of N in N 0.572 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.572 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.572 * [taylor]: Taking taylor expansion of N in N 0.572 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.572 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.572 * [taylor]: Taking taylor expansion of N in N 0.573 * [taylor]: Taking taylor expansion of 1.0 in N 0.573 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.573 * [taylor]: Taking taylor expansion of N in N 0.573 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.573 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.573 * [taylor]: Taking taylor expansion of N in N 0.573 * [taylor]: Taking taylor expansion of 1.0 in N 0.587 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.587 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.587 * [taylor]: Taking taylor expansion of -1 in N 0.587 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.587 * [taylor]: Taking taylor expansion of N in N 0.587 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.587 * [taylor]: Taking taylor expansion of 1.0 in N 0.587 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.587 * [taylor]: Taking taylor expansion of N in N 0.587 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.587 * [taylor]: Taking taylor expansion of -1 in N 0.587 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.587 * [taylor]: Taking taylor expansion of N in N 0.587 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.587 * [taylor]: Taking taylor expansion of 1.0 in N 0.587 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.587 * [taylor]: Taking taylor expansion of N in N 0.611 * * * [progress]: simplifying candidates 0.612 * [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) 0.617 * * [simplify]: iteration 0 : 243 enodes (cost 383 ) 0.621 * * [simplify]: iteration 1 : 808 enodes (cost 358 ) 0.636 * * [simplify]: iteration 2 : 3663 enodes (cost 347 ) 0.716 * * [simplify]: iteration 3 : 5001 enodes (cost 344 ) 0.719 * [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) 0.720 * * * [progress]: adding candidates to table 0.821 * * [progress]: iteration 3 / 4 0.821 * * * [progress]: picking best candidate 0.829 * * * * [pick]: Picked # 0.829 * * * [progress]: localizing error 0.838 * * * [progress]: generating rewritten candidates 0.838 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.852 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.856 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.862 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.874 * * * [progress]: generating series expansions 0.875 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.875 * [approximate]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in (N) around 0 0.875 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in N 0.875 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 0.875 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.875 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.875 * [taylor]: Taking taylor expansion of N in N 0.875 * [taylor]: Taking taylor expansion of 1.0 in N 0.878 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 0.878 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 0.878 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.878 * [taylor]: Taking taylor expansion of N in N 0.878 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.878 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.878 * [taylor]: Taking taylor expansion of N in N 0.878 * [taylor]: Taking taylor expansion of 1.0 in N 0.881 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in N 0.881 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 0.881 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.881 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.881 * [taylor]: Taking taylor expansion of N in N 0.881 * [taylor]: Taking taylor expansion of 1.0 in N 0.883 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 0.883 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 0.883 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.883 * [taylor]: Taking taylor expansion of N in N 0.884 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) 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 0.963 * [approximate]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in (N) around 0 0.964 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in N 0.964 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 0.964 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 0.964 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.964 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.964 * [taylor]: Taking taylor expansion of N in N 0.964 * [taylor]: Taking taylor expansion of 1.0 in N 0.966 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 0.966 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 0.966 * [taylor]: Taking taylor expansion of N in N 0.966 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 0.966 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.966 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.966 * [taylor]: Taking taylor expansion of N in N 0.966 * [taylor]: Taking taylor expansion of 1.0 in N 0.979 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in N 0.979 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 0.979 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 0.979 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.979 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.979 * [taylor]: Taking taylor expansion of N in N 0.979 * [taylor]: Taking taylor expansion of 1.0 in N 0.981 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 0.981 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 0.981 * [taylor]: Taking taylor expansion of N in N 0.981 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 0.981 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.981 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.981 * [taylor]: Taking taylor expansion of N in N 0.981 * [taylor]: Taking taylor expansion of 1.0 in N 1.034 * [approximate]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in (N) around 0 1.034 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in N 1.034 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 1.034 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.034 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.034 * [taylor]: Taking taylor expansion of 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 1.036 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 1.036 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 1.036 * [taylor]: Taking taylor expansion of -1 in N 1.036 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 1.036 * [taylor]: Taking taylor expansion of N in N 1.036 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.036 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.036 * [taylor]: Taking taylor expansion of 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 1.046 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in N 1.046 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 1.046 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.046 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.046 * [taylor]: Taking taylor expansion of 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 1.048 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 1.048 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 1.048 * [taylor]: Taking taylor expansion of -1 in N 1.048 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 1.048 * [taylor]: Taking taylor expansion of N in N 1.048 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.048 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.048 * [taylor]: Taking taylor expansion of 1.0 in N 1.048 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.048 * [taylor]: Taking taylor expansion of N in N 1.113 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.113 * [approximate]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in (N) around 0 1.113 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 1.113 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.113 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.113 * [taylor]: Taking taylor expansion of N in N 1.113 * [taylor]: Taking taylor expansion of 1.0 in N 1.115 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 1.115 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.116 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.116 * [taylor]: Taking taylor expansion of N in N 1.116 * [taylor]: Taking taylor expansion of 1.0 in N 1.153 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in (N) around 0 1.153 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 1.153 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.153 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.154 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.154 * [taylor]: Taking taylor expansion of N in N 1.154 * [taylor]: Taking taylor expansion of 1.0 in N 1.155 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 1.155 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.155 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.155 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.155 * [taylor]: Taking taylor expansion of N in N 1.156 * [taylor]: Taking taylor expansion of 1.0 in N 1.175 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in (N) around 0 1.175 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 1.175 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.175 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.175 * [taylor]: Taking taylor expansion of 1.0 in N 1.175 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.175 * [taylor]: Taking taylor expansion of N in N 1.177 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 1.177 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.177 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.177 * [taylor]: Taking taylor expansion of 1.0 in N 1.177 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.177 * [taylor]: Taking taylor expansion of N in N 1.197 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.197 * [approximate]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in (N) around 0 1.197 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 1.197 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.197 * [taylor]: Taking taylor expansion of N in N 1.197 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.197 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.197 * [taylor]: Taking taylor expansion of N in N 1.197 * [taylor]: Taking taylor expansion of 1.0 in N 1.199 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 1.199 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.199 * [taylor]: Taking taylor expansion of N in N 1.199 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.199 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.199 * [taylor]: Taking taylor expansion of N in N 1.199 * [taylor]: Taking taylor expansion of 1.0 in N 1.218 * [approximate]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in (N) around 0 1.218 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 1.218 * [taylor]: Taking taylor expansion of N in N 1.218 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.218 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.218 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.218 * [taylor]: Taking taylor expansion of N in N 1.218 * [taylor]: Taking taylor expansion of 1.0 in N 1.219 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 1.220 * [taylor]: Taking taylor expansion of N in N 1.220 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.220 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.220 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.220 * [taylor]: Taking taylor expansion of N in N 1.220 * [taylor]: Taking taylor expansion of 1.0 in N 1.244 * [approximate]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in (N) around 0 1.244 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 1.244 * [taylor]: Taking taylor expansion of -1 in N 1.244 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 1.244 * [taylor]: Taking taylor expansion of N in N 1.244 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.244 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.244 * [taylor]: Taking taylor expansion of 1.0 in N 1.244 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.244 * [taylor]: Taking taylor expansion of N in N 1.246 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 1.246 * [taylor]: Taking taylor expansion of -1 in N 1.246 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 1.246 * [taylor]: Taking taylor expansion of N in N 1.246 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.246 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.246 * [taylor]: Taking taylor expansion of 1.0 in N 1.246 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.246 * [taylor]: Taking taylor expansion of N in N 1.271 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.271 * [approximate]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in (N) around 0 1.271 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 1.271 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 1.271 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.271 * [taylor]: Taking taylor expansion of N in N 1.271 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.271 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.271 * [taylor]: Taking taylor expansion of N in N 1.271 * [taylor]: Taking taylor expansion of 1.0 in N 1.274 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 1.274 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 1.274 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.274 * [taylor]: Taking taylor expansion of N in N 1.274 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.274 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.274 * [taylor]: Taking taylor expansion of N in N 1.274 * [taylor]: Taking taylor expansion of 1.0 in N 1.324 * [approximate]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in (N) around 0 1.324 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 1.324 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 1.324 * [taylor]: Taking taylor expansion of N in N 1.324 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.324 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.324 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.324 * [taylor]: Taking taylor expansion of N in N 1.325 * [taylor]: Taking taylor expansion of 1.0 in N 1.331 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 1.331 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 1.331 * [taylor]: Taking taylor expansion of N in N 1.331 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.331 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.331 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.331 * [taylor]: Taking taylor expansion of N in N 1.332 * [taylor]: Taking taylor expansion of 1.0 in N 1.364 * [approximate]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in (N) around 0 1.364 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 1.365 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 1.365 * [taylor]: Taking taylor expansion of -1 in N 1.365 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 1.365 * [taylor]: Taking taylor expansion of N in N 1.365 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.365 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.365 * [taylor]: Taking taylor expansion of 1.0 in N 1.365 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.365 * [taylor]: Taking taylor expansion of N in N 1.374 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 1.374 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 1.374 * [taylor]: Taking taylor expansion of -1 in N 1.374 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 1.374 * [taylor]: Taking taylor expansion of N in N 1.374 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.374 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.374 * [taylor]: Taking taylor expansion of 1.0 in N 1.374 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.374 * [taylor]: Taking taylor expansion of N in N 1.422 * * * [progress]: simplifying candidates 1.424 * [simplify]: Simplifying using # : (expm1 (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (log1p (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (* (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N)) (log (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (exp (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (* (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))))) (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (* (* (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (sqrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (sqrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (- (* (log (/ (sqrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) N))) (* (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))))) (- (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (* (log (/ (sqrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) N)))) (- (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (* (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) N))))) (+ (log (sqrt (+ N 1.0))) (log (sqrt (/ (sqrt (+ N 1.0)) N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ 1 (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ 1 (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ 1 1))) (+ (log (sqrt (+ N 1.0))) (log 1)) (+ (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (+ (log (cbrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (cbrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) 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)) N))) (- (log (sqrt (- N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (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 (/ (sqrt (+ N 1.0)) N)) (log1p (/ (sqrt (+ N 1.0)) N)) (- (log (sqrt (+ N 1.0))) (log N)) (log (/ (sqrt (+ N 1.0)) N)) (exp (/ (sqrt (+ N 1.0)) N)) (/ (* (* (sqrt (+ N 1.0)) (sqrt (+ N 1.0))) (sqrt (+ N 1.0))) (* (* N N) 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 (/ (sqrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) N)) (- (sqrt (+ N 1.0))) (- N) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt N) (cbrt N))) (/ (cbrt (sqrt (+ N 1.0))) (cbrt N)) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt N)) (/ (cbrt (sqrt (+ N 1.0))) (sqrt N)) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) 1) (/ (cbrt (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 (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) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ 1 1) (/ (sqrt (+ N 1.0)) N) (/ 1 N) (/ N (sqrt (+ N 1.0))) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ N (cbrt (sqrt (+ N 1.0)))) (/ N (sqrt (cbrt (+ N 1.0)))) (/ N (sqrt (sqrt (+ N 1.0)))) (/ N (sqrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (sqrt (sqrt (+ N 1.0)))) (/ N (sqrt (+ N 1.0))) (* N (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (* N (sqrt (- N 1.0))) (expm1 (log (/ (sqrt (+ N 1.0)) N))) (log1p (log (/ (sqrt (+ N 1.0)) N))) (log (* (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) N)))) (log (cbrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt N))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt N))) (log (/ (cbrt (sqrt (+ N 1.0))) (sqrt N))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) 1)) (log (/ (cbrt (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 (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 (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ 1 1)) (log (/ (sqrt (+ N 1.0)) N)) (log 1) (log (/ (sqrt (+ N 1.0)) N)) (log (sqrt (+ N 1.0))) (log (/ 1 N)) (log (sqrt (+ N 1.0))) (log N) (log (/ (sqrt (+ 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))) (- (+ (* 2 (log (sqrt 1.0))) (/ N (pow (sqrt 1.0) 2))) (+ (* 1/2 (/ (pow N 2) (pow (sqrt 1.0) 4))) (log N))) (- (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 N)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ -1 N)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 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)))))) (- (+ (* 1/2 (/ 1 (sqrt 1.0))) (/ (sqrt 1.0) N)) (* 1/8 (/ N (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))))) (- (+ (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 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (log (- +nan.0)) (log (/ -1 N))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 1.433 * * [simplify]: iteration 0 : 528 enodes (cost 1419 ) 1.441 * * [simplify]: iteration 1 : 1596 enodes (cost 1318 ) 1.469 * * [simplify]: iteration 2 : 5002 enodes (cost 1212 ) 1.476 * [simplify]: Simplified to: (expm1 (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (log1p (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (/ (+ N 1.0) N) (log (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (/ (+ N 1.0) N) (* (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))))) (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (pow (- (* 2 (log (sqrt (+ N 1.0)))) (log N)) 3) (sqrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (sqrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (fma (log (/ (sqrt (+ N 1.0)) N)) (- (log (/ (sqrt (+ N 1.0)) N)) (log (sqrt (+ N 1.0)))) (* (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)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (fma 2 (log (cbrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (+ N 1.0)))) (+ (log (sqrt (+ N 1.0))) (log (sqrt (/ (sqrt (+ N 1.0)) N)))) (+ (log (sqrt (+ N 1.0))) (* 2 (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt N))))) (- (fma 2 (log (cbrt (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) (log (sqrt N))) (fma 2 (log (cbrt (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) (- (+ (log (sqrt (+ N 1.0))) (log (/ (fabs (cbrt (+ N 1.0))) (cbrt N)))) (log (cbrt N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt N)))) (+ (log (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (sqrt (+ N 1.0)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) (- (log (sqrt (+ N 1.0))) (* 2 (log (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (- (log (sqrt (+ N 1.0))) (* 2 (log (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) (- (log (sqrt (+ N 1.0))) (* 2 (log (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (+ N 1.0)) (+ (log (cbrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (cbrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (- (log (+ N 1.0)) (log N)) (log (+ N 1.0)) (- (log (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (/ (sqrt (+ N 1.0)) N))) (- (log (sqrt (- N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (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 (/ (sqrt (+ N 1.0)) N)) (log1p (/ (sqrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) N)) (exp (/ (sqrt (+ N 1.0)) N)) (pow (/ (sqrt (+ N 1.0)) N) 3) (* (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) (sqrt (/ (sqrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) N)) (- (sqrt (+ N 1.0))) (- N) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt N) (cbrt N))) (/ (cbrt (sqrt (+ N 1.0))) (cbrt N)) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt N)) (/ (cbrt (sqrt (+ N 1.0))) (sqrt N)) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (/ (cbrt (sqrt (+ N 1.0))) N) (/ (/ (fabs (cbrt (+ N 1.0))) (cbrt N)) (cbrt N)) (/ (sqrt (cbrt (+ N 1.0))) (cbrt N)) (/ (fabs (cbrt (+ N 1.0))) (* (sqrt N) 1)) (/ (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))) (/ (sqrt (sqrt (+ N 1.0))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) 1 (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) 1 (/ (sqrt (+ 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))) (/ (sqrt (sqrt (+ N 1.0))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) 1 (/ (sqrt (+ N 1.0)) N) (/ 1 N) (/ N (sqrt (+ N 1.0))) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (sqrt N)) (sqrt (+ N 1.0)) (/ N (cbrt (sqrt (+ N 1.0)))) (/ N (sqrt (cbrt (+ N 1.0)))) (/ N (sqrt (sqrt (+ N 1.0)))) (/ N (sqrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (sqrt (sqrt (+ N 1.0)))) (/ N (sqrt (+ N 1.0))) (* N (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (* N (sqrt (- N 1.0))) (expm1 (log (/ (sqrt (+ N 1.0)) N))) (log1p (log (/ (sqrt (+ N 1.0)) N))) (* 2 (log (cbrt (/ (sqrt (+ N 1.0)) N)))) (log (cbrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (* 2 (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt N))) (fma 2 (log (cbrt (sqrt (+ N 1.0)))) (log (/ 1 (sqrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (sqrt N))) (* 2 (log (cbrt (sqrt (+ N 1.0))))) (log (/ (cbrt (sqrt (+ N 1.0))) N)) (- (log (/ (fabs (cbrt (+ N 1.0))) (cbrt N))) (log (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))))) (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)))) (log (/ (sqrt (sqrt (+ N 1.0))) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) 0 (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) 0 (log (/ (sqrt (+ 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)))) (log (/ (sqrt (sqrt (+ N 1.0))) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ 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 (/ 1 N)) (log (sqrt (+ N 1.0))) (log N) (log (/ (sqrt (+ 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))) (- (/ N 1.0) (- (fma (/ 1/2 1.0) (/ (pow N 2) 1.0) (log N)) (* 2 (log (sqrt 1.0))))) (fma +nan.0 (- (/ 1 N) (/ 1 (pow N 2))) (- (+ (log (- +nan.0)) (log +nan.0)) (log N))) (fma +nan.0 (- (/ 1 N) (/ 1 (pow N 2))) (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ -1 N))))) (fma 1/2 (/ N 1.0) (- (log (sqrt 1.0)) (* (/ 1/4 1.0) (/ (pow N 2) 1.0)))) (fma +nan.0 (- (/ 1 (pow N 2)) (/ 1 N)) (log +nan.0)) (fma +nan.0 (- (/ 1 (pow N 2)) (/ 1 N)) (log +nan.0)) (fma 1/2 (/ 1 (sqrt 1.0)) (- (/ (sqrt 1.0) N) (* 1/8 (/ N (pow (sqrt 1.0) 3))))) (fma +nan.0 (- (/ 1 (pow N 2)) (/ 1 N)) (/ (- +nan.0) (pow N 3))) (fma +nan.0 (- (/ 1 (pow N 2)) (/ 1 N)) (/ (- +nan.0) (pow N 3))) (fma 1/2 (/ N 1.0) (- (log (sqrt 1.0)) (fma 1/4 (/ (pow N 2) (pow (sqrt 1.0) 4)) (log N)))) (fma +nan.0 (- (/ 1 N) (/ 1 (pow N 2))) (- (log (- +nan.0)) (log N))) (fma +nan.0 (- (/ 1 N) (/ 1 (pow N 2))) (+ (log (- +nan.0)) (log (/ -1 N)))) 1.477 * * * [progress]: adding candidates to table 1.814 * * [progress]: iteration 4 / 4 1.814 * * * [progress]: picking best candidate 1.826 * * * * [pick]: Picked # 1.826 * * * [progress]: localizing error 1.845 * * * [progress]: generating rewritten candidates 1.845 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.863 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 3 2) 1.867 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 3 1) 1.871 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2) 1.882 * * * [progress]: generating series expansions 1.882 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.883 * [approximate]: Taking taylor expansion of (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (* (/ 1 N) (sqrt (+ N 1.0)))) 3)) in (N) around 0 1.883 * [taylor]: Taking taylor expansion of (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (* (/ 1 N) (sqrt (+ N 1.0)))) 3)) in N 1.883 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ N 1.0))) 3) in N 1.883 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 1.883 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.883 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.883 * [taylor]: Taking taylor expansion of N in N 1.883 * [taylor]: Taking taylor expansion of 1.0 in N 1.885 * [taylor]: Taking taylor expansion of (pow (log (* (/ 1 N) (sqrt (+ N 1.0)))) 3) in N 1.885 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 1.885 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 1.885 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.885 * [taylor]: Taking taylor expansion of N in N 1.886 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.886 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.886 * [taylor]: Taking taylor expansion of N in N 1.886 * [taylor]: Taking taylor expansion of 1.0 in N 1.889 * [taylor]: Taking taylor expansion of (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (* (/ 1 N) (sqrt (+ N 1.0)))) 3)) in N 1.890 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ N 1.0))) 3) in N 1.890 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 1.890 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.890 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.890 * [taylor]: Taking taylor expansion of N in N 1.890 * [taylor]: Taking taylor expansion of 1.0 in N 1.892 * [taylor]: Taking taylor expansion of (pow (log (* (/ 1 N) (sqrt (+ N 1.0)))) 3) in N 1.892 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 1.892 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 1.892 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.892 * [taylor]: Taking taylor expansion of N in N 1.892 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.892 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.892 * [taylor]: Taking taylor expansion of N in N 1.892 * [taylor]: Taking taylor expansion of 1.0 in N 2.086 * [approximate]: Taking taylor expansion of (+ (pow (log (* N (sqrt (+ (/ 1 N) 1.0)))) 3) (pow (log (sqrt (+ (/ 1 N) 1.0))) 3)) in (N) around 0 2.086 * [taylor]: Taking taylor expansion of (+ (pow (log (* N (sqrt (+ (/ 1 N) 1.0)))) 3) (pow (log (sqrt (+ (/ 1 N) 1.0))) 3)) in N 2.086 * [taylor]: Taking taylor expansion of (pow (log (* N (sqrt (+ (/ 1 N) 1.0)))) 3) in N 2.086 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 2.086 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 2.086 * [taylor]: Taking taylor expansion of N in N 2.086 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.086 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.086 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.086 * [taylor]: Taking taylor expansion of N in N 2.086 * [taylor]: Taking taylor expansion of 1.0 in N 2.093 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 N) 1.0))) 3) in N 2.093 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 2.093 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.093 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.093 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.093 * [taylor]: Taking taylor expansion of N in N 2.094 * [taylor]: Taking taylor expansion of 1.0 in N 2.095 * [taylor]: Taking taylor expansion of (+ (pow (log (* N (sqrt (+ (/ 1 N) 1.0)))) 3) (pow (log (sqrt (+ (/ 1 N) 1.0))) 3)) in N 2.095 * [taylor]: Taking taylor expansion of (pow (log (* N (sqrt (+ (/ 1 N) 1.0)))) 3) in N 2.095 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 2.095 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 2.095 * [taylor]: Taking taylor expansion of N in N 2.095 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.095 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.095 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.095 * [taylor]: Taking taylor expansion of N in N 2.096 * [taylor]: Taking taylor expansion of 1.0 in N 2.103 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 N) 1.0))) 3) in N 2.103 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 2.103 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.103 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.103 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.103 * [taylor]: Taking taylor expansion of N in N 2.103 * [taylor]: Taking taylor expansion of 1.0 in N 2.232 * [approximate]: Taking taylor expansion of (+ (pow (log (sqrt (- 1.0 (/ 1 N)))) 3) (pow (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) 3)) in (N) around 0 2.233 * [taylor]: Taking taylor expansion of (+ (pow (log (sqrt (- 1.0 (/ 1 N)))) 3) (pow (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) 3)) in N 2.233 * [taylor]: Taking taylor expansion of (pow (log (sqrt (- 1.0 (/ 1 N)))) 3) in N 2.233 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 2.233 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.233 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.233 * [taylor]: Taking taylor expansion of 1.0 in N 2.233 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.233 * [taylor]: Taking taylor expansion of N in N 2.235 * [taylor]: Taking taylor expansion of (pow (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) 3) in N 2.235 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 2.235 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 2.235 * [taylor]: Taking taylor expansion of -1 in N 2.235 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 2.235 * [taylor]: Taking taylor expansion of N in N 2.235 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.235 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.235 * [taylor]: Taking taylor expansion of 1.0 in N 2.235 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.235 * [taylor]: Taking taylor expansion of N in N 2.244 * [taylor]: Taking taylor expansion of (+ (pow (log (sqrt (- 1.0 (/ 1 N)))) 3) (pow (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) 3)) in N 2.245 * [taylor]: Taking taylor expansion of (pow (log (sqrt (- 1.0 (/ 1 N)))) 3) in N 2.245 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 2.245 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.245 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.245 * [taylor]: Taking taylor expansion of 1.0 in N 2.245 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.245 * [taylor]: Taking taylor expansion of N in N 2.247 * [taylor]: Taking taylor expansion of (pow (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) 3) in N 2.247 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 2.247 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 2.247 * [taylor]: Taking taylor expansion of -1 in N 2.247 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 2.247 * [taylor]: Taking taylor expansion of N in N 2.247 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.247 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.247 * [taylor]: Taking taylor expansion of 1.0 in N 2.247 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.247 * [taylor]: Taking taylor expansion of N in N 2.389 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 3 2) 2.389 * [approximate]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in (N) around 0 2.389 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 2.389 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 2.389 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.389 * [taylor]: Taking taylor expansion of N in N 2.389 * [taylor]: Taking taylor expansion of 1.0 in N 2.391 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 2.392 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 2.392 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.392 * [taylor]: Taking taylor expansion of N in N 2.392 * [taylor]: Taking taylor expansion of 1.0 in N 2.421 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in (N) around 0 2.421 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 2.421 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.421 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.421 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.421 * [taylor]: Taking taylor expansion of N in N 2.422 * [taylor]: Taking taylor expansion of 1.0 in N 2.423 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 2.423 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.423 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.423 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.423 * [taylor]: Taking taylor expansion of N in N 2.424 * [taylor]: Taking taylor expansion of 1.0 in N 2.442 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in (N) around 0 2.442 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 2.442 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.442 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.442 * [taylor]: Taking taylor expansion of 1.0 in N 2.442 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.442 * [taylor]: Taking taylor expansion of N in N 2.444 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 2.444 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.444 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.444 * [taylor]: Taking taylor expansion of 1.0 in N 2.444 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.444 * [taylor]: Taking taylor expansion of N in N 2.469 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 3 1) 2.469 * [approximate]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in (N) around 0 2.469 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 2.469 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 2.469 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.469 * [taylor]: Taking taylor expansion of N in N 2.469 * [taylor]: Taking taylor expansion of 1.0 in N 2.472 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 2.472 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 2.472 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.472 * [taylor]: Taking taylor expansion of N in N 2.472 * [taylor]: Taking taylor expansion of 1.0 in N 2.502 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in (N) around 0 2.502 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 2.502 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.502 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.502 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.502 * [taylor]: Taking taylor expansion of N in N 2.502 * [taylor]: Taking taylor expansion of 1.0 in N 2.504 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 2.504 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.504 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.504 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.504 * [taylor]: Taking taylor expansion of N in N 2.504 * [taylor]: Taking taylor expansion of 1.0 in N 2.523 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in (N) around 0 2.523 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 2.523 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.523 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.523 * [taylor]: Taking taylor expansion of 1.0 in N 2.523 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.523 * [taylor]: Taking taylor expansion of N in N 2.525 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 2.525 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.525 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.525 * [taylor]: Taking taylor expansion of 1.0 in N 2.525 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.525 * [taylor]: Taking taylor expansion of N in N 2.550 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2) 2.550 * [approximate]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in (N) around 0 2.550 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 2.550 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 2.550 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.550 * [taylor]: Taking taylor expansion of N in N 2.550 * [taylor]: Taking taylor expansion of 1.0 in N 2.552 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 2.552 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 2.552 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.552 * [taylor]: Taking taylor expansion of N in N 2.552 * [taylor]: Taking taylor expansion of 1.0 in N 2.582 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in (N) around 0 2.582 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 2.582 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.583 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.583 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.583 * [taylor]: Taking taylor expansion of N in N 2.583 * [taylor]: Taking taylor expansion of 1.0 in N 2.584 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 2.584 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 2.584 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.584 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.584 * [taylor]: Taking taylor expansion of N in N 2.585 * [taylor]: Taking taylor expansion of 1.0 in N 2.603 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in (N) around 0 2.603 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 2.603 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.603 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.603 * [taylor]: Taking taylor expansion of 1.0 in N 2.603 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.603 * [taylor]: Taking taylor expansion of N in N 2.605 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 2.605 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 2.606 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.606 * [taylor]: Taking taylor expansion of 1.0 in N 2.606 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.606 * [taylor]: Taking taylor expansion of N in N 2.631 * * * [progress]: simplifying candidates 2.633 * [simplify]: Simplifying using # : (expm1 (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3))) (log1p (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3))) (* (exp (pow (log (sqrt (+ N 1.0))) 3)) (exp (pow (log (/ (sqrt (+ N 1.0)) N)) 3))) (log (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3))) (exp (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3))) (* (cbrt (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3))) (cbrt (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)))) (cbrt (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3))) (* (* (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3))) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3))) (sqrt (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3))) (sqrt (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3))) (+ (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (- (* (log (/ (sqrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) N))) (* (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (pow (pow (log (sqrt (+ N 1.0))) 3) 3) (pow (pow (log (/ (sqrt (+ N 1.0)) N)) 3) 3)) (+ (* (pow (log (sqrt (+ N 1.0))) 3) (pow (log (sqrt (+ N 1.0))) 3)) (- (* (pow (log (/ (sqrt (+ N 1.0)) N)) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (* (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)))) (- (* (pow (log (sqrt (+ N 1.0))) 3) (pow (log (sqrt (+ N 1.0))) 3)) (* (pow (log (/ (sqrt (+ N 1.0)) N)) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3))) (- (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (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)))) (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)))) (- (+ (* 2 (pow (log (sqrt 1.0)) 3)) (+ (* 3/2 (/ (* (log (sqrt 1.0)) (pow N 2)) (pow (sqrt 1.0) 4))) (+ (* 3/2 (/ (* N (pow (log N) 2)) (pow (sqrt 1.0) 2))) (+ (* 3 (/ (* (pow (log (sqrt 1.0)) 2) N) (pow (sqrt 1.0) 2))) (+ (* 3 (* (log (sqrt 1.0)) (pow (log N) 2))) (* 3/2 (/ (* (log (sqrt 1.0)) (* (pow N 2) (log N))) (pow (sqrt 1.0) 4)))))))) (+ (* 3 (/ (* (log (sqrt 1.0)) (* N (log N))) (pow (sqrt 1.0) 2))) (+ (* 3 (* (pow (log (sqrt 1.0)) 2) (log N))) (+ (pow (log N) 3) (+ (* 3/4 (/ (* (pow N 2) (log N)) (pow (sqrt 1.0) 4))) (+ (* 3/2 (/ (* (pow (log (sqrt 1.0)) 2) (pow N 2)) (pow (sqrt 1.0) 4))) (* 3/4 (/ (* (pow N 2) (pow (log N) 2)) (pow (sqrt 1.0) 4))))))))) (- (+ (* 3 (* (log (- +nan.0)) (pow (log (/ 1 N)) 2))) (+ (pow (log +nan.0) 3) (+ (pow (log (/ 1 N)) 3) (+ (* 3 (* (pow (log (- +nan.0)) 2) (log (/ 1 N)))) (pow (log (- +nan.0)) 3))))) (+ (* +nan.0 (/ (* (log (- +nan.0)) (log (/ 1 N))) (pow N 2))) (- (+ (* +nan.0 (/ (pow (log (- +nan.0)) 2) (pow N 2))) (- (+ (* +nan.0 (/ (pow (log +nan.0) 2) (pow N 2))) (- (+ (* +nan.0 (/ (pow (log +nan.0) 2) N)) (- (+ (* +nan.0 (/ (pow (log (- +nan.0)) 2) N)) (- (+ (* +nan.0 (/ (log +nan.0) (pow N 2))) (- (+ (* +nan.0 (/ (log (/ 1 N)) (pow N 2))) (- (+ (* +nan.0 (/ (* (log (- +nan.0)) (log (/ 1 N))) N)) (- (+ (* +nan.0 (/ (pow (log (/ 1 N)) 2) N)) (- (+ (* +nan.0 (/ (log (- +nan.0)) (pow N 2))) (- (* +nan.0 (/ (pow (log (/ 1 N)) 2) (pow N 2)))))))))))))))))))))))) (- (+ (pow (log +nan.0) 3) (+ (pow (log (/ -1 N)) 3) (+ (* 3 (* (pow (log (- +nan.0)) 2) (log (/ -1 N)))) (+ (pow (log (- +nan.0)) 3) (* 3 (* (log (- +nan.0)) (pow (log (/ -1 N)) 2))))))) (+ (* +nan.0 (/ (pow (log (- +nan.0)) 2) (pow N 2))) (- (+ (* +nan.0 (/ (pow (log +nan.0) 2) (pow N 2))) (- (+ (* +nan.0 (/ (pow (log +nan.0) 2) N)) (- (+ (* +nan.0 (/ (pow (log (- +nan.0)) 2) N)) (- (+ (* +nan.0 (/ (* (log (- +nan.0)) (log (/ -1 N))) (pow N 2))) (- (+ (* +nan.0 (/ (log +nan.0) (pow N 2))) (- (+ (* +nan.0 (/ (* (log (- +nan.0)) (log (/ -1 N))) N)) (- (+ (* +nan.0 (/ (pow (log (/ -1 N)) 2) (pow N 2))) (- (+ (* +nan.0 (/ (log (- +nan.0)) (pow N 2))) (- (+ (* +nan.0 (/ (pow (log (/ -1 N)) 2) N)) (- (* +nan.0 (/ (log (/ -1 N)) (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)))))) (- (+ (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)))))) 2.641 * * [simplify]: iteration 0 : 751 enodes (cost 1151 ) 2.654 * * [simplify]: iteration 1 : 2990 enodes (cost 1080 ) 2.696 * * [simplify]: iteration 2 : 5001 enodes (cost 1069 ) 2.701 * [simplify]: Simplified to: (expm1 (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3))) (log1p (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3))) (exp (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3))) (log (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3))) (exp (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3))) (* (cbrt (+ (pow (log 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6)) (- (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 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1/4 1.0) (/ (pow N 2) 1.0)))) (- (- (log +nan.0) (/ (- +nan.0) (pow N 2))) (* +nan.0 (/ 1 N))) (- (- (log +nan.0) (/ (- +nan.0) (pow N 2))) (* +nan.0 (/ 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) (pow N 2))) (* +nan.0 (/ 1 N))) (- (- (log +nan.0) (/ (- +nan.0) (pow N 2))) (* +nan.0 (/ 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) (pow N 2))) (* +nan.0 (/ 1 N))) (- (- (log +nan.0) (/ (- +nan.0) (pow N 2))) (* +nan.0 (/ 1 N))) 2.702 * * * [progress]: adding candidates to table 3.090 * [progress]: [Phase 3 of 3] Extracting. 3.090 * * [regime]: Finding splitpoints for: (# # # # # #) 3.092 * * * [regime-changes]: Trying 1 branch expressions: (N) 3.092 * * * * [regimes]: Trying to branch on N from (# # # # # #) 3.124 * * * [regime]: Found split indices: #