5.169 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.052 * * * [progress]: [2/2] Setting up program. 0.054 * [progress]: [Phase 2 of 3] Improving. 0.054 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.057 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.058 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.059 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.059 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.059 * * [progress]: iteration 1 / 4 0.059 * * * [progress]: picking best candidate 0.061 * * * * [pick]: Picked # 0.061 * * * [progress]: localizing error 0.068 * * * [progress]: generating rewritten candidates 0.068 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.075 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.080 * * * [progress]: generating series expansions 0.080 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.080 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.080 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.080 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.080 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.080 * [taylor]: Taking taylor expansion of N in N 0.080 * [taylor]: Taking taylor expansion of 1.0 in N 0.081 * [taylor]: Taking taylor expansion of (log N) in N 0.081 * [taylor]: Taking taylor expansion of N in N 0.082 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.082 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.082 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.082 * [taylor]: Taking taylor expansion of N in N 0.082 * [taylor]: Taking taylor expansion of 1.0 in N 0.082 * [taylor]: Taking taylor expansion of (log N) in N 0.082 * [taylor]: Taking taylor expansion of N in N 0.104 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.104 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.104 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.104 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.104 * [taylor]: Taking taylor expansion of N in N 0.105 * [taylor]: Taking taylor expansion of 1.0 in N 0.105 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.105 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.105 * [taylor]: Taking taylor expansion of N in N 0.106 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.106 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.106 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.106 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.106 * [taylor]: Taking taylor expansion of N in N 0.106 * [taylor]: Taking taylor expansion of 1.0 in N 0.106 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.106 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.107 * [taylor]: Taking taylor expansion of N in N 0.137 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.137 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.137 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.137 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.137 * [taylor]: Taking taylor expansion of 1.0 in N 0.137 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.137 * [taylor]: Taking taylor expansion of N in N 0.138 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.138 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.138 * [taylor]: Taking taylor expansion of -1 in N 0.138 * [taylor]: Taking taylor expansion of N in N 0.139 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.139 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.139 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.139 * [taylor]: Taking taylor expansion of 1.0 in N 0.139 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.139 * [taylor]: Taking taylor expansion of N in N 0.140 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.140 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.140 * [taylor]: Taking taylor expansion of -1 in N 0.140 * [taylor]: Taking taylor expansion of N in N 0.174 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.174 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.174 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.174 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.174 * [taylor]: Taking taylor expansion of N in N 0.174 * [taylor]: Taking taylor expansion of 1.0 in N 0.174 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.174 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.174 * [taylor]: Taking taylor expansion of N in N 0.174 * [taylor]: Taking taylor expansion of 1.0 in N 0.189 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.189 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.189 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.189 * [taylor]: Taking taylor expansion of N in N 0.189 * [taylor]: Taking taylor expansion of 1.0 in N 0.190 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.190 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.190 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.190 * [taylor]: Taking taylor expansion of N in N 0.190 * [taylor]: Taking taylor expansion of 1.0 in N 0.202 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.202 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.202 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.202 * [taylor]: Taking taylor expansion of 1.0 in N 0.202 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.202 * [taylor]: Taking taylor expansion of N in N 0.203 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.203 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.203 * [taylor]: Taking taylor expansion of 1.0 in N 0.203 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.203 * [taylor]: Taking taylor expansion of N in N 0.218 * * * [progress]: simplifying candidates 0.219 * [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)))) 0.224 * * [simplify]: iteration 0 : 277 enodes (cost 598 ) 0.229 * * [simplify]: iteration 1 : 837 enodes (cost 444 ) 0.246 * * [simplify]: iteration 2 : 3748 enodes (cost 347 ) 0.340 * * [simplify]: iteration 3 : 5001 enodes (cost 343 ) 0.343 * [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))))) 0.344 * * * [progress]: adding candidates to table 0.455 * * [progress]: iteration 2 / 4 0.455 * * * [progress]: picking best candidate 0.459 * * * * [pick]: Picked # 0.459 * * * [progress]: localizing error 0.468 * * * [progress]: generating rewritten candidates 0.468 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.473 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.474 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.488 * * * [progress]: generating series expansions 0.488 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.488 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.488 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.488 * [taylor]: Taking taylor expansion of N in N 0.489 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.489 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.489 * [taylor]: Taking taylor expansion of N in N 0.497 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 0.497 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.497 * [taylor]: Taking taylor expansion of N in N 0.497 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.497 * [taylor]: Taking taylor expansion of N in N 0.501 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 0.501 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.501 * [taylor]: Taking taylor expansion of N in N 0.501 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.501 * [taylor]: Taking taylor expansion of N in N 0.505 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.505 * [approximate]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N)) in (N) around 0 0.505 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N)) in N 0.505 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) (/ 1.0 N)) 0.505 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) in N 0.505 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.505 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.505 * [taylor]: Taking taylor expansion of N in N 0.506 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.506 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.506 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.506 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.506 * [taylor]: Taking taylor expansion of N in N 0.506 * [taylor]: Taking taylor expansion of 0.5 in N 0.506 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 0.506 * [taylor]: Taking taylor expansion of 1.0 in N 0.506 * [taylor]: Taking taylor expansion of N in N 0.507 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N)) in N 0.507 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) (/ 1.0 N)) 0.507 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) in N 0.507 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.507 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.507 * [taylor]: Taking taylor expansion of N in N 0.507 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.507 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.507 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.507 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.507 * [taylor]: Taking taylor expansion of N in N 0.508 * [taylor]: Taking taylor expansion of 0.5 in N 0.508 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 0.508 * [taylor]: Taking taylor expansion of 1.0 in N 0.508 * [taylor]: Taking taylor expansion of N in N 0.520 * [approximate]: Taking taylor expansion of (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N)) in (N) around 0 0.521 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N)) in N 0.521 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) (* 1.0 N)) 0.521 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 0.521 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.521 * [taylor]: Taking taylor expansion of N in N 0.521 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.521 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.521 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.521 * [taylor]: Taking taylor expansion of N in N 0.521 * [taylor]: Taking taylor expansion of 0.5 in N 0.521 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.521 * [taylor]: Taking taylor expansion of 1.0 in N 0.521 * [taylor]: Taking taylor expansion of N in N 0.521 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N)) in N 0.521 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) (* 1.0 N)) 0.521 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 0.521 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.521 * [taylor]: Taking taylor expansion of N in N 0.521 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.521 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.521 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.521 * [taylor]: Taking taylor expansion of N in N 0.521 * [taylor]: Taking taylor expansion of 0.5 in N 0.521 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.521 * [taylor]: Taking taylor expansion of 1.0 in N 0.521 * [taylor]: Taking taylor expansion of N in N 0.530 * [approximate]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N)) in (N) around 0 0.530 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N)) in N 0.530 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) (* -1.0 N)) 0.530 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) in N 0.530 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.530 * [taylor]: Taking taylor expansion of N in N 0.530 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in N 0.530 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.530 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.530 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.530 * [taylor]: Taking taylor expansion of N in N 0.530 * [taylor]: Taking taylor expansion of 0.5 in N 0.530 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 0.530 * [taylor]: Taking taylor expansion of -1.0 in N 0.530 * [taylor]: Taking taylor expansion of N in N 0.530 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N)) in N 0.530 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) (* -1.0 N)) 0.530 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) in N 0.530 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.530 * [taylor]: Taking taylor expansion of N in N 0.530 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in N 0.530 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.530 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.530 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.530 * [taylor]: Taking taylor expansion of N in N 0.530 * [taylor]: Taking taylor expansion of 0.5 in N 0.530 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 0.530 * [taylor]: Taking taylor expansion of -1.0 in N 0.530 * [taylor]: Taking taylor expansion of N in N 0.541 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.541 * [approximate]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in (N) around 0 0.541 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.541 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.541 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.541 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.541 * [taylor]: Taking taylor expansion of N in N 0.541 * [taylor]: Taking taylor expansion of 0.5 in N 0.541 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.541 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.541 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.541 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.542 * [taylor]: Taking taylor expansion of N in N 0.542 * [taylor]: Taking taylor expansion of 0.5 in N 0.554 * [approximate]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in (N) around 0 0.554 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.554 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.554 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.554 * [taylor]: Taking taylor expansion of N in N 0.554 * [taylor]: Taking taylor expansion of 0.5 in N 0.554 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.554 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.554 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.554 * [taylor]: Taking taylor expansion of N in N 0.554 * [taylor]: Taking taylor expansion of 0.5 in N 0.564 * [approximate]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in (N) around 0 0.564 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in N 0.564 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.564 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.564 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.564 * [taylor]: Taking taylor expansion of N in N 0.564 * [taylor]: Taking taylor expansion of 0.5 in N 0.564 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in N 0.564 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.564 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.564 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.564 * [taylor]: Taking taylor expansion of N in N 0.564 * [taylor]: Taking taylor expansion of 0.5 in N 0.574 * * * [progress]: simplifying candidates 0.576 * [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 (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (log1p (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (log (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (exp (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (* (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (cbrt (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))) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (fma (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) (cbrt (/ 0.3333333333333333 N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (fma (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) (cbrt (/ 0.3333333333333333 N)) (- (* (sqrt 0.5) (sqrt 0.5)))) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (fma (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) (cbrt (/ 0.3333333333333333 N)) (- (* 0.5 1))) (fma (- 0.5) 1 (* 0.5 1)) (fma (sqrt (/ 0.3333333333333333 N)) (sqrt (/ 0.3333333333333333 N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (fma (sqrt (/ 0.3333333333333333 N)) (sqrt (/ 0.3333333333333333 N)) (- (* (sqrt 0.5) (sqrt 0.5)))) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (fma (sqrt (/ 0.3333333333333333 N)) (sqrt (/ 0.3333333333333333 N)) (- (* 0.5 1))) (fma (- 0.5) 1 (* 0.5 1)) (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))))) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt N) (cbrt N))) (/ (cbrt 0.3333333333333333) (cbrt N)) (- (* (sqrt 0.5) (sqrt 0.5)))) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt N) (cbrt N))) (/ (cbrt 0.3333333333333333) (cbrt N)) (- (* 0.5 1))) (fma (- 0.5) 1 (* 0.5 1)) (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt N)) (/ (cbrt 0.3333333333333333) (sqrt N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt N)) (/ (cbrt 0.3333333333333333) (sqrt N)) (- (* (sqrt 0.5) (sqrt 0.5)))) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt N)) (/ (cbrt 0.3333333333333333) (sqrt N)) (- (* 0.5 1))) (fma (- 0.5) 1 (* 0.5 1)) (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) (/ (cbrt 0.3333333333333333) N) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) (/ (cbrt 0.3333333333333333) N) (- (* (sqrt 0.5) (sqrt 0.5)))) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) (/ (cbrt 0.3333333333333333) N) (- (* 0.5 1))) (fma (- 0.5) 1 (* 0.5 1)) (fma (/ (sqrt 0.3333333333333333) (* (cbrt N) (cbrt N))) (/ (sqrt 0.3333333333333333) (cbrt N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (fma (/ (sqrt 0.3333333333333333) (* (cbrt N) (cbrt N))) (/ (sqrt 0.3333333333333333) (cbrt N)) (- (* (sqrt 0.5) (sqrt 0.5)))) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (fma (/ (sqrt 0.3333333333333333) (* (cbrt N) (cbrt N))) (/ (sqrt 0.3333333333333333) (cbrt N)) (- (* 0.5 1))) (fma (- 0.5) 1 (* 0.5 1)) (fma (/ (sqrt 0.3333333333333333) (sqrt N)) (/ (sqrt 0.3333333333333333) (sqrt N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (fma (/ (sqrt 0.3333333333333333) (sqrt N)) (/ (sqrt 0.3333333333333333) (sqrt N)) (- (* (sqrt 0.5) (sqrt 0.5)))) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (fma (/ (sqrt 0.3333333333333333) (sqrt N)) (/ (sqrt 0.3333333333333333) (sqrt N)) (- (* 0.5 1))) (fma (- 0.5) 1 (* 0.5 1)) (fma (/ (sqrt 0.3333333333333333) 1) (/ (sqrt 0.3333333333333333) N) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (fma (/ (sqrt 0.3333333333333333) 1) (/ (sqrt 0.3333333333333333) N) (- (* (sqrt 0.5) (sqrt 0.5)))) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (fma (/ (sqrt 0.3333333333333333) 1) (/ (sqrt 0.3333333333333333) N) (- (* 0.5 1))) (fma (- 0.5) 1 (* 0.5 1)) (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 0.3333333333333333 (cbrt N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 0.3333333333333333 (cbrt N)) (- (* (sqrt 0.5) (sqrt 0.5)))) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 0.3333333333333333 (cbrt N)) (- (* 0.5 1))) (fma (- 0.5) 1 (* 0.5 1)) (fma (/ 1 (sqrt N)) (/ 0.3333333333333333 (sqrt N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (fma (/ 1 (sqrt N)) (/ 0.3333333333333333 (sqrt N)) (- (* (sqrt 0.5) (sqrt 0.5)))) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (fma (/ 1 (sqrt N)) (/ 0.3333333333333333 (sqrt N)) (- (* 0.5 1))) (fma (- 0.5) 1 (* 0.5 1)) (fma (/ 1 1) (/ 0.3333333333333333 N) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (fma (/ 1 1) (/ 0.3333333333333333 N) (- (* (sqrt 0.5) (sqrt 0.5)))) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (fma (/ 1 1) (/ 0.3333333333333333 N) (- (* 0.5 1))) (fma (- 0.5) 1 (* 0.5 1)) (fma 1 (/ 0.3333333333333333 N) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (fma 1 (/ 0.3333333333333333 N) (- (* (sqrt 0.5) (sqrt 0.5)))) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (fma 1 (/ 0.3333333333333333 N) (- (* 0.5 1))) (fma (- 0.5) 1 (* 0.5 1)) (fma 0.3333333333333333 (/ 1 N) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (fma 0.3333333333333333 (/ 1 N) (- (* (sqrt 0.5) (sqrt 0.5)))) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (fma 0.3333333333333333 (/ 1 N) (- (* 0.5 1))) (fma (- 0.5) 1 (* 0.5 1)) (expm1 (- (/ 0.3333333333333333 N) 0.5)) (log1p (- (/ 0.3333333333333333 N) 0.5)) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (/ (exp (/ 0.3333333333333333 N)) (exp 0.5)) (log (- (/ 0.3333333333333333 N) 0.5)) (exp (- (/ 0.3333333333333333 N) 0.5)) (* (cbrt (- (/ 0.3333333333333333 N) 0.5)) (cbrt (- (/ 0.3333333333333333 N) 0.5))) (cbrt (- (/ 0.3333333333333333 N) 0.5)) (* (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)) (- (/ 0.3333333333333333 N) 0.5)) (sqrt (- (/ 0.3333333333333333 N) 0.5)) (sqrt (- (/ 0.3333333333333333 N) 0.5)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3)) (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5))) (- 0.5) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5)) (+ (/ 0.3333333333333333 N) 0.5) (+ (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) (- (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) (+ (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5)) (- (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5)) (- (/ 0.3333333333333333 N) 0.5) (- 0.5) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 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)))) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (- (* 0.3333333333333333 (/ 1 N)) 0.5) 0.584 * * [simplify]: iteration 0 : 425 enodes (cost 1067 ) 0.591 * * [simplify]: iteration 1 : 1442 enodes (cost 713 ) 0.619 * * [simplify]: iteration 2 : 5001 enodes (cost 631 ) 0.624 * [simplify]: Simplified to: (expm1 (/ 1 (pow N 2))) (log1p (/ 1 (pow N 2))) (- 2) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (exp (/ 1 (pow N 2))) (/ 1 (pow (pow N 2) 3)) (* (cbrt (/ 1 (pow N 2))) (cbrt (/ 1 (pow N 2)))) (cbrt (/ 1 (pow N 2))) (/ 1 (pow (pow N 2) 3)) (fabs (/ 1 N)) (fabs (/ 1 N)) (- 1) (- (pow N 2)) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (pow N 2)) (pow N 2) (/ 1 (pow (cbrt N) 4)) (/ 1 N) 1 (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (fabs N)) 1 (/ 1 N) (pow N 2) (pow N 2) (pow N 2) (expm1 (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (log1p (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N) (log (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (exp (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (* (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (pow (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) 3) (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (- (* (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) (cbrt (/ 0.3333333333333333 N))) 0.5) (fma (- 0.5) 1 0.5) (- (* (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) (cbrt (/ 0.3333333333333333 N))) 0.5) (fma (- 0.5) 1 0.5) (- (* (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) (cbrt (/ 0.3333333333333333 N))) 0.5) (fma (- 0.5) 1 0.5) (- (/ 0.3333333333333333 N) 0.5) (fma (- 0.5) 1 0.5) (- (/ 0.3333333333333333 N) 0.5) (fma (- 0.5) 1 0.5) (- (/ 0.3333333333333333 N) 0.5) (fma (- 0.5) 1 0.5) (- (* (/ (cbrt 0.3333333333333333) (cbrt N)) (/ (cbrt 0.3333333333333333) (/ (pow (cbrt N) 2) (cbrt 0.3333333333333333)))) 0.5) (fma (- 0.5) 1 0.5) (- (* (/ (cbrt 0.3333333333333333) (cbrt N)) (/ (cbrt 0.3333333333333333) (/ (pow (cbrt N) 2) (cbrt 0.3333333333333333)))) 0.5) (fma (- 0.5) 1 0.5) (- (* (/ (cbrt 0.3333333333333333) (cbrt N)) (/ (cbrt 0.3333333333333333) (/ (pow (cbrt N) 2) (cbrt 0.3333333333333333)))) 0.5) (fma (- 0.5) 1 0.5) (- (* (cbrt 0.3333333333333333) (* (cbrt 0.3333333333333333) (/ (cbrt 0.3333333333333333) N))) 0.5) (fma (- 0.5) 1 0.5) (- (* (cbrt 0.3333333333333333) (* (cbrt 0.3333333333333333) (/ (cbrt 0.3333333333333333) N))) 0.5) (fma (- 0.5) 1 0.5) (- (* (cbrt 0.3333333333333333) (* (cbrt 0.3333333333333333) (/ (cbrt 0.3333333333333333) N))) 0.5) (fma (- 0.5) 1 0.5) (- (* (cbrt 0.3333333333333333) (* (cbrt 0.3333333333333333) (/ (cbrt 0.3333333333333333) N))) 0.5) (fma (- 0.5) 1 0.5) (- (* (cbrt 0.3333333333333333) (* (cbrt 0.3333333333333333) (/ (cbrt 0.3333333333333333) N))) 0.5) (fma (- 0.5) 1 0.5) (- (* (cbrt 0.3333333333333333) (* (cbrt 0.3333333333333333) (/ (cbrt 0.3333333333333333) N))) 0.5) (fma (- 0.5) 1 0.5) (- (/ (* (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (cbrt N))) (pow (cbrt N) 2)) 0.5) (fma (- 0.5) 1 0.5) (- (/ (* (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (cbrt N))) (pow (cbrt N) 2)) 0.5) (fma (- 0.5) 1 0.5) (- (/ (* (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (cbrt N))) (pow (cbrt N) 2)) 0.5) (fma (- 0.5) 1 0.5) (- (/ 0.3333333333333333 N) 0.5) (fma (- 0.5) 1 0.5) (- (/ 0.3333333333333333 N) 0.5) (fma (- 0.5) 1 0.5) (- (/ 0.3333333333333333 N) 0.5) (fma (- 0.5) 1 0.5) (- (/ 0.3333333333333333 N) 0.5) (fma (- 0.5) 1 0.5) (- (/ 0.3333333333333333 N) 0.5) (fma (- 0.5) 1 0.5) (- (/ 0.3333333333333333 N) 0.5) (fma (- 0.5) 1 0.5) (- (/ (* (/ 1 (pow (cbrt N) 2)) 0.3333333333333333) (cbrt N)) 0.5) (fma (- 0.5) 1 0.5) (- (/ (* (/ 1 (pow (cbrt N) 2)) 0.3333333333333333) (cbrt N)) 0.5) (fma (- 0.5) 1 0.5) (- (/ (* (/ 1 (pow (cbrt N) 2)) 0.3333333333333333) (cbrt N)) 0.5) (fma (- 0.5) 1 0.5) (- (/ 0.3333333333333333 N) 0.5) (fma (- 0.5) 1 0.5) (- (/ 0.3333333333333333 N) 0.5) (fma (- 0.5) 1 0.5) (- (/ 0.3333333333333333 N) 0.5) (fma (- 0.5) 1 0.5) (- (/ 0.3333333333333333 N) 0.5) (fma (- 0.5) 1 0.5) (- (/ 0.3333333333333333 N) 0.5) (fma (- 0.5) 1 0.5) (- (/ 0.3333333333333333 N) 0.5) (fma (- 0.5) 1 0.5) (- (/ 0.3333333333333333 N) 0.5) (fma (- 0.5) 1 0.5) (- (/ 0.3333333333333333 N) 0.5) (fma (- 0.5) 1 0.5) (- (/ 0.3333333333333333 N) 0.5) (fma (- 0.5) 1 0.5) (- (/ 0.3333333333333333 N) 0.5) (fma (- 0.5) 1 0.5) (- (/ 0.3333333333333333 N) 0.5) (fma (- 0.5) 1 0.5) (- (/ 0.3333333333333333 N) 0.5) (fma (- 0.5) 1 0.5) (expm1 (- (/ 0.3333333333333333 N) 0.5)) (log1p (- (/ 0.3333333333333333 N) 0.5)) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (exp (- (/ 0.3333333333333333 N) 0.5)) (log (- (/ 0.3333333333333333 N) 0.5)) (exp (- (/ 0.3333333333333333 N) 0.5)) (* (cbrt (- (/ 0.3333333333333333 N) 0.5)) (cbrt (- (/ 0.3333333333333333 N) 0.5))) (cbrt (- (/ 0.3333333333333333 N) 0.5)) (pow (- (/ 0.3333333333333333 N) 0.5) 3) (sqrt (- (/ 0.3333333333333333 N) 0.5)) (sqrt (- (/ 0.3333333333333333 N) 0.5)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3)) (fma (/ 0.3333333333333333 N) (/ 0.3333333333333333 N) (fma 0.5 0.5 (* (/ 0.3333333333333333 N) 0.5))) (- 0.5) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5)) (+ (/ 0.3333333333333333 N) 0.5) (+ (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) (- (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) (+ (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5)) (- (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5)) (- (/ 0.3333333333333333 N) 0.5) (- 0.5) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (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)) (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5) 0.625 * * * [progress]: adding candidates to table 0.794 * * [progress]: iteration 3 / 4 0.794 * * * [progress]: picking best candidate 0.798 * * * * [pick]: Picked # 0.798 * * * [progress]: localizing error 0.808 * * * [progress]: generating rewritten candidates 0.808 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.809 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.812 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.815 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.819 * * * [progress]: generating series expansions 0.819 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.820 * [approximate]: Taking taylor expansion of (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N))) in (N) around 0 0.820 * [taylor]: Taking taylor expansion of (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N))) in N 0.820 * [taylor]: Rewrote expression to (+ (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (log (/ 1 N))) 0.820 * [taylor]: Taking taylor expansion of (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) in N 0.820 * [taylor]: Taking taylor expansion of (sqrt (log (+ N 1.0))) in N 0.820 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.820 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.820 * [taylor]: Taking taylor expansion of N in N 0.820 * [taylor]: Taking taylor expansion of 1.0 in N 0.826 * [taylor]: Taking taylor expansion of (sqrt (log (+ N 1.0))) in N 0.826 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.826 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.826 * [taylor]: Taking taylor expansion of N in N 0.826 * [taylor]: Taking taylor expansion of 1.0 in N 0.832 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.832 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.832 * [taylor]: Taking taylor expansion of N in N 0.832 * [taylor]: Taking taylor expansion of (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N))) in N 0.832 * [taylor]: Rewrote expression to (+ (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (log (/ 1 N))) 0.832 * [taylor]: Taking taylor expansion of (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) in N 0.832 * [taylor]: Taking taylor expansion of (sqrt (log (+ N 1.0))) in N 0.832 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.832 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.832 * [taylor]: Taking taylor expansion of N in N 0.832 * [taylor]: Taking taylor expansion of 1.0 in N 0.841 * [taylor]: Taking taylor expansion of (sqrt (log (+ N 1.0))) in N 0.841 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.841 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.841 * [taylor]: Taking taylor expansion of N in N 0.841 * [taylor]: Taking taylor expansion of 1.0 in N 0.847 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.847 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.847 * [taylor]: Taking taylor expansion of N in N 0.911 * [approximate]: Taking taylor expansion of (fma (sqrt (log (+ (/ 1 N) 1.0))) (sqrt (log (+ (/ 1 N) 1.0))) (log N)) in (N) around 0 0.911 * [taylor]: Taking taylor expansion of (fma (sqrt (log (+ (/ 1 N) 1.0))) (sqrt (log (+ (/ 1 N) 1.0))) (log N)) in N 0.911 * [taylor]: Rewrote expression to (+ (* (sqrt (log (+ (/ 1 N) 1.0))) (sqrt (log (+ (/ 1 N) 1.0)))) (log N)) 0.911 * [taylor]: Taking taylor expansion of (* (sqrt (log (+ (/ 1 N) 1.0))) (sqrt (log (+ (/ 1 N) 1.0)))) in N 0.911 * [taylor]: Taking taylor expansion of (sqrt (log (+ (/ 1 N) 1.0))) in N 0.911 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.911 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.911 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.911 * [taylor]: Taking taylor expansion of N in N 0.911 * [taylor]: Taking taylor expansion of 1.0 in N 0.917 * [taylor]: Taking taylor expansion of (sqrt (log (+ (/ 1 N) 1.0))) in N 0.917 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.917 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.917 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.917 * [taylor]: Taking taylor expansion of N in N 0.917 * [taylor]: Taking taylor expansion of 1.0 in N 0.926 * [taylor]: Taking taylor expansion of (log N) in N 0.927 * [taylor]: Taking taylor expansion of N in N 0.927 * [taylor]: Taking taylor expansion of (fma (sqrt (log (+ (/ 1 N) 1.0))) (sqrt (log (+ (/ 1 N) 1.0))) (log N)) in N 0.927 * [taylor]: Rewrote expression to (+ (* (sqrt (log (+ (/ 1 N) 1.0))) (sqrt (log (+ (/ 1 N) 1.0)))) (log N)) 0.927 * [taylor]: Taking taylor expansion of (* (sqrt (log (+ (/ 1 N) 1.0))) (sqrt (log (+ (/ 1 N) 1.0)))) in N 0.927 * [taylor]: Taking taylor expansion of (sqrt (log (+ (/ 1 N) 1.0))) in N 0.927 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.927 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.927 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.927 * [taylor]: Taking taylor expansion of N in N 0.928 * [taylor]: Taking taylor expansion of 1.0 in N 0.933 * [taylor]: Taking taylor expansion of (sqrt (log (+ (/ 1 N) 1.0))) in N 0.933 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.933 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.933 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.933 * [taylor]: Taking taylor expansion of N in N 0.934 * [taylor]: Taking taylor expansion of 1.0 in N 0.939 * [taylor]: Taking taylor expansion of (log N) in N 0.939 * [taylor]: Taking taylor expansion of N in N 0.959 * [approximate]: Taking taylor expansion of (fma (sqrt (log (- 1.0 (/ 1 N)))) (sqrt (log (- 1.0 (/ 1 N)))) (log (* -1 N))) in (N) around 0 0.959 * [taylor]: Taking taylor expansion of (fma (sqrt (log (- 1.0 (/ 1 N)))) (sqrt (log (- 1.0 (/ 1 N)))) (log (* -1 N))) in N 0.959 * [taylor]: Rewrote expression to (+ (* (sqrt (log (- 1.0 (/ 1 N)))) (sqrt (log (- 1.0 (/ 1 N))))) (log (* -1 N))) 0.959 * [taylor]: Taking taylor expansion of (* (sqrt (log (- 1.0 (/ 1 N)))) (sqrt (log (- 1.0 (/ 1 N))))) in N 0.959 * [taylor]: Taking taylor expansion of (sqrt (log (- 1.0 (/ 1 N)))) in N 0.959 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.959 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.959 * [taylor]: Taking taylor expansion of 1.0 in N 0.959 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.959 * [taylor]: Taking taylor expansion of N in N 0.967 * [taylor]: Taking taylor expansion of (sqrt (log (- 1.0 (/ 1 N)))) in N 0.967 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.967 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.967 * [taylor]: Taking taylor expansion of 1.0 in N 0.967 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.967 * [taylor]: Taking taylor expansion of N in N 0.975 * [taylor]: Taking taylor expansion of (log (* -1 N)) in N 0.975 * [taylor]: Taking taylor expansion of (* -1 N) in N 0.975 * [taylor]: Taking taylor expansion of -1 in N 0.975 * [taylor]: Taking taylor expansion of N in N 0.976 * [taylor]: Taking taylor expansion of (fma (sqrt (log (- 1.0 (/ 1 N)))) (sqrt (log (- 1.0 (/ 1 N)))) (log (* -1 N))) in N 0.976 * [taylor]: Rewrote expression to (+ (* (sqrt (log (- 1.0 (/ 1 N)))) (sqrt (log (- 1.0 (/ 1 N))))) (log (* -1 N))) 0.976 * [taylor]: Taking taylor expansion of (* (sqrt (log (- 1.0 (/ 1 N)))) (sqrt (log (- 1.0 (/ 1 N))))) in N 0.976 * [taylor]: Taking taylor expansion of (sqrt (log (- 1.0 (/ 1 N)))) in N 0.976 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.976 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.976 * [taylor]: Taking taylor expansion of 1.0 in N 0.976 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.976 * [taylor]: Taking taylor expansion of N in N 0.984 * [taylor]: Taking taylor expansion of (sqrt (log (- 1.0 (/ 1 N)))) in N 0.984 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.984 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.984 * [taylor]: Taking taylor expansion of 1.0 in N 0.984 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.984 * [taylor]: Taking taylor expansion of N in N 0.992 * [taylor]: Taking taylor expansion of (log (* -1 N)) in N 0.992 * [taylor]: Taking taylor expansion of (* -1 N) in N 0.992 * [taylor]: Taking taylor expansion of -1 in N 0.992 * [taylor]: Taking taylor expansion of N in N 1.024 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.025 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 1.025 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.025 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.025 * [taylor]: Taking taylor expansion of N in N 1.025 * [taylor]: Taking taylor expansion of 1.0 in N 1.025 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.025 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.025 * [taylor]: Taking taylor expansion of N in N 1.025 * [taylor]: Taking taylor expansion of 1.0 in N 1.037 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 1.037 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.037 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.037 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.037 * [taylor]: Taking taylor expansion of N in N 1.037 * [taylor]: Taking taylor expansion of 1.0 in N 1.038 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.038 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.038 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.038 * [taylor]: Taking taylor expansion of N in N 1.038 * [taylor]: Taking taylor expansion of 1.0 in N 1.050 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 1.050 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.050 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.050 * [taylor]: Taking taylor expansion of 1.0 in N 1.050 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.050 * [taylor]: Taking taylor expansion of N in N 1.051 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.051 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.051 * [taylor]: Taking taylor expansion of 1.0 in N 1.051 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.051 * [taylor]: Taking taylor expansion of N in N 1.065 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.065 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 1.065 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.065 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.065 * [taylor]: Taking taylor expansion of N in N 1.065 * [taylor]: Taking taylor expansion of 1.0 in N 1.066 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.066 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.066 * [taylor]: Taking taylor expansion of N in N 1.066 * [taylor]: Taking taylor expansion of 1.0 in N 1.077 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 1.078 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.078 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.078 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.078 * [taylor]: Taking taylor expansion of N in N 1.078 * [taylor]: Taking taylor expansion of 1.0 in N 1.078 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.078 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.078 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.078 * [taylor]: Taking taylor expansion of N in N 1.079 * [taylor]: Taking taylor expansion of 1.0 in N 1.096 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 1.096 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.096 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.096 * [taylor]: Taking taylor expansion of 1.0 in N 1.096 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.096 * [taylor]: Taking taylor expansion of N in N 1.097 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.097 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.097 * [taylor]: Taking taylor expansion of 1.0 in N 1.097 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.097 * [taylor]: Taking taylor expansion of N in N 1.112 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.112 * [approximate]: Taking taylor expansion of (sqrt (log (+ N 1.0))) in (N) around 0 1.112 * [taylor]: Taking taylor expansion of (sqrt (log (+ N 1.0))) in N 1.112 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.112 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.112 * [taylor]: Taking taylor expansion of N in N 1.112 * [taylor]: Taking taylor expansion of 1.0 in N 1.117 * [taylor]: Taking taylor expansion of (sqrt (log (+ N 1.0))) in N 1.117 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.117 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.118 * [taylor]: Taking taylor expansion of N in N 1.118 * [taylor]: Taking taylor expansion of 1.0 in N 1.151 * [approximate]: Taking taylor expansion of (sqrt (log (+ (/ 1 N) 1.0))) in (N) around 0 1.151 * [taylor]: Taking taylor expansion of (sqrt (log (+ (/ 1 N) 1.0))) in N 1.151 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.151 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.151 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.151 * [taylor]: Taking taylor expansion of N in N 1.152 * [taylor]: Taking taylor expansion of 1.0 in N 1.157 * [taylor]: Taking taylor expansion of (sqrt (log (+ (/ 1 N) 1.0))) in N 1.157 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.157 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.157 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.157 * [taylor]: Taking taylor expansion of N in N 1.158 * [taylor]: Taking taylor expansion of 1.0 in N 1.177 * [approximate]: Taking taylor expansion of (sqrt (log (- 1.0 (/ 1 N)))) in (N) around 0 1.177 * [taylor]: Taking taylor expansion of (sqrt (log (- 1.0 (/ 1 N)))) in N 1.177 * [taylor]: Taking taylor expansion of (log (- 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 1.185 * [taylor]: Taking taylor expansion of (sqrt (log (- 1.0 (/ 1 N)))) in N 1.185 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.185 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.185 * [taylor]: Taking taylor expansion of 1.0 in N 1.185 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.185 * [taylor]: Taking taylor expansion of N in N 1.204 * * * [progress]: simplifying candidates 1.205 * [simplify]: Simplifying using # : (expm1 (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (log1p (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (log (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (exp (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (* (cbrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (cbrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N))))) (cbrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (* (* (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (sqrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (sqrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 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))) (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))) (expm1 (sqrt (log (+ N 1.0)))) (log1p (sqrt (log (+ N 1.0)))) (log (sqrt (log (+ N 1.0)))) (exp (sqrt (log (+ N 1.0)))) (* (cbrt (sqrt (log (+ N 1.0)))) (cbrt (sqrt (log (+ N 1.0))))) (cbrt (sqrt (log (+ N 1.0)))) (* (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (sqrt (log (+ N 1.0)))) (sqrt 1) (sqrt (log (+ N 1.0))) (sqrt (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0))))) (sqrt (cbrt (log (+ N 1.0)))) (sqrt (sqrt (log (+ N 1.0)))) (sqrt (sqrt (log (+ N 1.0)))) (sqrt 1) (sqrt (log (+ N 1.0))) (/ 1 2) (sqrt (sqrt (log (+ N 1.0)))) (sqrt (sqrt (log (+ N 1.0)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 1.0 (/ 1 N)) (+ (pow (sqrt (- (log (/ 1 N)))) 2) (log (/ 1 N)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (* 2 (log -1))) (* 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)))) (- (+ (* 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)))) (- (+ (* 0.5 (* N (sqrt (/ 1 (log 1.0))))) (sqrt (log 1.0))) (+ (* 0.125 (* (pow N 2) (sqrt (/ 1 (pow (log 1.0) 3))))) (* 1/4 (* (/ (pow N 2) (pow 1.0 2)) (sqrt (/ 1 (log 1.0))))))) (- (+ (* 0.5 (/ 1 (* N (sqrt (- (log (/ 1 N))))))) (sqrt (- (log (/ 1 N))))) (+ (* 0.25 (/ 1 (* (pow N 2) (sqrt (- (log (/ 1 N))))))) (* 0.125 (/ 1 (* (pow N 2) (pow (sqrt (- (log (/ 1 N)))) 3)))))) (- (+ (sqrt (- (log -1) (log (/ -1 N)))) (* 0.5 (* (/ 1 N) (sqrt (/ 1 (- (log -1) (log (/ -1 N)))))))) (+ (* 0.125 (* (/ 1 (pow N 2)) (sqrt (/ 1 (pow (- (log -1) (log (/ -1 N))) 3))))) (* 0.25 (* (/ 1 (pow N 2)) (sqrt (/ 1 (- (log -1) (log (/ -1 N))))))))) 1.210 * * [simplify]: iteration 0 : 332 enodes (cost 511 ) 1.215 * * [simplify]: iteration 1 : 1034 enodes (cost 456 ) 1.233 * * [simplify]: iteration 2 : 4431 enodes (cost 417 ) 1.314 * * [simplify]: iteration 3 : 5001 enodes (cost 412 ) 1.317 * [simplify]: Simplified to: (expm1 (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (log1p (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (log (+ N 1.0)) (log (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (/ (+ N 1.0) (exp (log N))) (* (cbrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (cbrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N))))) (cbrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (sqrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (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))) (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))) (expm1 (sqrt (log (+ N 1.0)))) (log1p (sqrt (log (+ N 1.0)))) (log (sqrt (log (+ N 1.0)))) (exp (sqrt (log (+ N 1.0)))) (* (cbrt (sqrt (log (+ N 1.0)))) (cbrt (sqrt (log (+ N 1.0))))) (cbrt (sqrt (log (+ N 1.0)))) (pow (sqrt (log (+ N 1.0))) 3) (sqrt 1) (sqrt (log (+ N 1.0))) (fabs (cbrt (log (+ N 1.0)))) (sqrt (cbrt (log (+ N 1.0)))) (sqrt (sqrt (log (+ N 1.0)))) (sqrt (sqrt (log (+ N 1.0)))) (sqrt 1) (sqrt (log (+ N 1.0))) 1/2 (sqrt (sqrt (log (+ N 1.0)))) (sqrt (sqrt (log (+ N 1.0)))) (fma 1.0 N (- (log 1.0) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N)))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (fma (log -1) 2 (* (/ 1 N) (- 1.0 (/ 0.5 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 N) (- 1.0 (/ 0.5 N)) (log 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 N) (- 1.0 (/ 0.5 N)) (log N)) (fma (* 0.5 N) (sqrt (/ 1 (log 1.0))) (- (sqrt (log 1.0)) (fma 0.125 (* (pow N 2) (sqrt (/ 1 (pow (log 1.0) 3)))) (* 1/4 (* (/ (pow N 2) (pow 1.0 2)) (sqrt (/ 1 (log 1.0)))))))) (+ (- (* (/ 1 (sqrt (- (log (/ 1 N))))) (- (/ 0.5 N) (/ 0.25 (pow N 2)))) (/ (/ 0.125 (pow (sqrt (- (log (/ 1 N)))) 3)) (pow N 2))) (sqrt (- (log (/ 1 N))))) (- (+ (sqrt (- (log -1) (log (/ -1 N)))) (* (sqrt (/ 1 (- (log -1) (log (/ -1 N))))) (- (/ 0.5 N) (/ 0.25 (pow N 2))))) (/ (* 0.125 (sqrt (/ 1 (pow (- (log -1) (log (/ -1 N))) 3)))) (pow N 2))) 1.317 * * * [progress]: adding candidates to table 1.503 * * [progress]: iteration 4 / 4 1.503 * * * [progress]: picking best candidate 1.508 * * * * [pick]: Picked # 1.508 * * * [progress]: localizing error 1.523 * * * [progress]: generating rewritten candidates 1.523 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.524 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 1.525 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.526 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 1.530 * * * [progress]: generating series expansions 1.530 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.530 * [approximate]: Taking taylor expansion of (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N))) in (N) around 0 1.530 * [taylor]: Taking taylor expansion of (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N))) in N 1.530 * [taylor]: Rewrote expression to (+ (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (log (/ 1 N))) 1.530 * [taylor]: Taking taylor expansion of (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) in N 1.530 * [taylor]: Taking taylor expansion of (sqrt (log (+ N 1.0))) in N 1.530 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.530 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.530 * [taylor]: Taking taylor expansion of N in N 1.530 * [taylor]: Taking taylor expansion of 1.0 in N 1.536 * [taylor]: Taking taylor expansion of (sqrt (log (+ N 1.0))) in N 1.536 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.537 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.537 * [taylor]: Taking taylor expansion of N in N 1.537 * [taylor]: Taking taylor expansion of 1.0 in N 1.542 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.542 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.542 * [taylor]: Taking taylor expansion of N in N 1.543 * [taylor]: Taking taylor expansion of (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N))) in N 1.543 * [taylor]: Rewrote expression to (+ (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (log (/ 1 N))) 1.543 * [taylor]: Taking taylor expansion of (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) in N 1.543 * [taylor]: Taking taylor expansion of (sqrt (log (+ N 1.0))) in N 1.543 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.543 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.543 * [taylor]: Taking taylor expansion of N in N 1.543 * [taylor]: Taking taylor expansion of 1.0 in N 1.549 * [taylor]: Taking taylor expansion of (sqrt (log (+ N 1.0))) in N 1.549 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.549 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.549 * [taylor]: Taking taylor expansion of N in N 1.549 * [taylor]: Taking taylor expansion of 1.0 in N 1.555 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.555 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.555 * [taylor]: Taking taylor expansion of N in N 1.625 * [approximate]: Taking taylor expansion of (fma (sqrt (log (+ (/ 1 N) 1.0))) (sqrt (log (+ (/ 1 N) 1.0))) (log N)) in (N) around 0 1.625 * [taylor]: Taking taylor expansion of (fma (sqrt (log (+ (/ 1 N) 1.0))) (sqrt (log (+ (/ 1 N) 1.0))) (log N)) in N 1.625 * [taylor]: Rewrote expression to (+ (* (sqrt (log (+ (/ 1 N) 1.0))) (sqrt (log (+ (/ 1 N) 1.0)))) (log N)) 1.625 * [taylor]: Taking taylor expansion of (* (sqrt (log (+ (/ 1 N) 1.0))) (sqrt (log (+ (/ 1 N) 1.0)))) in N 1.625 * [taylor]: Taking taylor expansion of (sqrt (log (+ (/ 1 N) 1.0))) in N 1.625 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.625 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.625 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.625 * [taylor]: Taking taylor expansion of N in N 1.625 * [taylor]: Taking taylor expansion of 1.0 in N 1.631 * [taylor]: Taking taylor expansion of (sqrt (log (+ (/ 1 N) 1.0))) in N 1.631 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.631 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.631 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.631 * [taylor]: Taking taylor expansion of N in N 1.631 * [taylor]: Taking taylor expansion of 1.0 in N 1.637 * [taylor]: Taking taylor expansion of (log N) in N 1.637 * [taylor]: Taking taylor expansion of N in N 1.637 * [taylor]: Taking taylor expansion of (fma (sqrt (log (+ (/ 1 N) 1.0))) (sqrt (log (+ (/ 1 N) 1.0))) (log N)) in N 1.637 * [taylor]: Rewrote expression to (+ (* (sqrt (log (+ (/ 1 N) 1.0))) (sqrt (log (+ (/ 1 N) 1.0)))) (log N)) 1.637 * [taylor]: Taking taylor expansion of (* (sqrt (log (+ (/ 1 N) 1.0))) (sqrt (log (+ (/ 1 N) 1.0)))) in N 1.638 * [taylor]: Taking taylor expansion of (sqrt (log (+ (/ 1 N) 1.0))) in N 1.638 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.638 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.638 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.638 * [taylor]: Taking taylor expansion of N in N 1.638 * [taylor]: Taking taylor expansion of 1.0 in N 1.644 * [taylor]: Taking taylor expansion of (sqrt (log (+ (/ 1 N) 1.0))) in N 1.644 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.644 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.644 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.644 * [taylor]: Taking taylor expansion of N in N 1.644 * [taylor]: Taking taylor expansion of 1.0 in N 1.650 * [taylor]: Taking taylor expansion of (log N) in N 1.650 * [taylor]: Taking taylor expansion of N in N 1.677 * [approximate]: Taking taylor expansion of (fma (sqrt (log (- 1.0 (/ 1 N)))) (sqrt (log (- 1.0 (/ 1 N)))) (log (* -1 N))) in (N) around 0 1.677 * [taylor]: Taking taylor expansion of (fma (sqrt (log (- 1.0 (/ 1 N)))) (sqrt (log (- 1.0 (/ 1 N)))) (log (* -1 N))) in N 1.677 * [taylor]: Rewrote expression to (+ (* (sqrt (log (- 1.0 (/ 1 N)))) (sqrt (log (- 1.0 (/ 1 N))))) (log (* -1 N))) 1.677 * [taylor]: Taking taylor expansion of (* (sqrt (log (- 1.0 (/ 1 N)))) (sqrt (log (- 1.0 (/ 1 N))))) in N 1.677 * [taylor]: Taking taylor expansion of (sqrt (log (- 1.0 (/ 1 N)))) in N 1.677 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.677 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.677 * [taylor]: Taking taylor expansion of 1.0 in N 1.677 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.678 * [taylor]: Taking taylor expansion of N in N 1.686 * [taylor]: Taking taylor expansion of (sqrt (log (- 1.0 (/ 1 N)))) in N 1.686 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.686 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.686 * [taylor]: Taking taylor expansion of 1.0 in N 1.686 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.686 * [taylor]: Taking taylor expansion of N in N 1.694 * [taylor]: Taking taylor expansion of (log (* -1 N)) in N 1.694 * [taylor]: Taking taylor expansion of (* -1 N) in N 1.694 * [taylor]: Taking taylor expansion of -1 in N 1.694 * [taylor]: Taking taylor expansion of N in N 1.695 * [taylor]: Taking taylor expansion of (fma (sqrt (log (- 1.0 (/ 1 N)))) (sqrt (log (- 1.0 (/ 1 N)))) (log (* -1 N))) in N 1.695 * [taylor]: Rewrote expression to (+ (* (sqrt (log (- 1.0 (/ 1 N)))) (sqrt (log (- 1.0 (/ 1 N))))) (log (* -1 N))) 1.695 * [taylor]: Taking taylor expansion of (* (sqrt (log (- 1.0 (/ 1 N)))) (sqrt (log (- 1.0 (/ 1 N))))) in N 1.695 * [taylor]: Taking taylor expansion of (sqrt (log (- 1.0 (/ 1 N)))) in N 1.695 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.695 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.695 * [taylor]: Taking taylor expansion of 1.0 in N 1.695 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.695 * [taylor]: Taking taylor expansion of N in N 1.703 * [taylor]: Taking taylor expansion of (sqrt (log (- 1.0 (/ 1 N)))) in N 1.703 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.703 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.703 * [taylor]: Taking taylor expansion of 1.0 in N 1.703 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.703 * [taylor]: Taking taylor expansion of N in N 1.711 * [taylor]: Taking taylor expansion of (log (* -1 N)) in N 1.711 * [taylor]: Taking taylor expansion of (* -1 N) in N 1.711 * [taylor]: Taking taylor expansion of -1 in N 1.711 * [taylor]: Taking taylor expansion of N in N 1.740 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 1.740 * [approximate]: Taking taylor expansion of (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N))) in (N) around 0 1.740 * [taylor]: Taking taylor expansion of (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N))) in N 1.740 * [taylor]: Rewrote expression to (+ (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (log (/ 1 N))) 1.740 * [taylor]: Taking taylor expansion of (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) in N 1.740 * [taylor]: Taking taylor expansion of (sqrt (log (+ N 1.0))) in N 1.740 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.740 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.740 * [taylor]: Taking taylor expansion of N in N 1.740 * [taylor]: Taking taylor expansion of 1.0 in N 1.746 * [taylor]: Taking taylor expansion of (sqrt (log (+ N 1.0))) in N 1.746 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.746 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.746 * [taylor]: Taking taylor expansion of N in N 1.746 * [taylor]: Taking taylor expansion of 1.0 in N 1.758 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.758 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.758 * [taylor]: Taking taylor expansion of N in N 1.758 * [taylor]: Taking taylor expansion of (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N))) in N 1.758 * [taylor]: Rewrote expression to (+ (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (log (/ 1 N))) 1.758 * [taylor]: Taking taylor expansion of (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) in N 1.758 * [taylor]: Taking taylor expansion of (sqrt (log (+ N 1.0))) in N 1.758 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.758 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.758 * [taylor]: Taking taylor expansion of N in N 1.758 * [taylor]: Taking taylor expansion of 1.0 in N 1.764 * [taylor]: Taking taylor expansion of (sqrt (log (+ N 1.0))) in N 1.764 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.764 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.764 * [taylor]: Taking taylor expansion of N in N 1.764 * [taylor]: Taking taylor expansion of 1.0 in N 1.770 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.770 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.770 * [taylor]: Taking taylor expansion of N in N 1.843 * [approximate]: Taking taylor expansion of (fma (sqrt (log (+ (/ 1 N) 1.0))) (sqrt (log (+ (/ 1 N) 1.0))) (log N)) in (N) around 0 1.844 * [taylor]: Taking taylor expansion of (fma (sqrt (log (+ (/ 1 N) 1.0))) (sqrt (log (+ (/ 1 N) 1.0))) (log N)) in N 1.844 * [taylor]: Rewrote expression to (+ (* (sqrt (log (+ (/ 1 N) 1.0))) (sqrt (log (+ (/ 1 N) 1.0)))) (log N)) 1.844 * [taylor]: Taking taylor expansion of (* (sqrt (log (+ (/ 1 N) 1.0))) (sqrt (log (+ (/ 1 N) 1.0)))) in N 1.844 * [taylor]: Taking taylor expansion of (sqrt (log (+ (/ 1 N) 1.0))) in N 1.844 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.844 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.844 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.844 * [taylor]: Taking taylor expansion of N in N 1.844 * [taylor]: Taking taylor expansion of 1.0 in N 1.850 * [taylor]: Taking taylor expansion of (sqrt (log (+ (/ 1 N) 1.0))) in N 1.850 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.850 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.850 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.850 * [taylor]: Taking taylor expansion of N in N 1.851 * [taylor]: Taking taylor expansion of 1.0 in N 1.856 * [taylor]: Taking taylor expansion of (log N) in N 1.856 * [taylor]: Taking taylor expansion of N in N 1.857 * [taylor]: Taking taylor expansion of (fma (sqrt (log (+ (/ 1 N) 1.0))) (sqrt (log (+ (/ 1 N) 1.0))) (log N)) in N 1.857 * [taylor]: Rewrote expression to (+ (* (sqrt (log (+ (/ 1 N) 1.0))) (sqrt (log (+ (/ 1 N) 1.0)))) (log N)) 1.857 * [taylor]: Taking taylor expansion of (* (sqrt (log (+ (/ 1 N) 1.0))) (sqrt (log (+ (/ 1 N) 1.0)))) in N 1.857 * [taylor]: Taking taylor expansion of (sqrt (log (+ (/ 1 N) 1.0))) in N 1.857 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.857 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.857 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.857 * [taylor]: Taking taylor expansion of N in N 1.857 * [taylor]: Taking taylor expansion of 1.0 in N 1.863 * [taylor]: Taking taylor expansion of (sqrt (log (+ (/ 1 N) 1.0))) in N 1.863 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.863 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.863 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.863 * [taylor]: Taking taylor expansion of N in N 1.863 * [taylor]: Taking taylor expansion of 1.0 in N 1.869 * [taylor]: Taking taylor expansion of (log N) in N 1.869 * [taylor]: Taking taylor expansion of N in N 1.889 * [approximate]: Taking taylor expansion of (fma (sqrt (log (- 1.0 (/ 1 N)))) (sqrt (log (- 1.0 (/ 1 N)))) (log (* -1 N))) in (N) around 0 1.889 * [taylor]: Taking taylor expansion of (fma (sqrt (log (- 1.0 (/ 1 N)))) (sqrt (log (- 1.0 (/ 1 N)))) (log (* -1 N))) in N 1.890 * [taylor]: Rewrote expression to (+ (* (sqrt (log (- 1.0 (/ 1 N)))) (sqrt (log (- 1.0 (/ 1 N))))) (log (* -1 N))) 1.890 * [taylor]: Taking taylor expansion of (* (sqrt (log (- 1.0 (/ 1 N)))) (sqrt (log (- 1.0 (/ 1 N))))) in N 1.890 * [taylor]: Taking taylor expansion of (sqrt (log (- 1.0 (/ 1 N)))) in N 1.890 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.890 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.890 * [taylor]: Taking taylor expansion of 1.0 in N 1.890 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.890 * [taylor]: Taking taylor expansion of N in N 1.897 * [taylor]: Taking taylor expansion of (sqrt (log (- 1.0 (/ 1 N)))) in N 1.897 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.897 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.898 * [taylor]: Taking taylor expansion of 1.0 in N 1.898 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.898 * [taylor]: Taking taylor expansion of N in N 1.905 * [taylor]: Taking taylor expansion of (log (* -1 N)) in N 1.905 * [taylor]: Taking taylor expansion of (* -1 N) in N 1.905 * [taylor]: Taking taylor expansion of -1 in N 1.905 * [taylor]: Taking taylor expansion of N in N 1.906 * [taylor]: Taking taylor expansion of (fma (sqrt (log (- 1.0 (/ 1 N)))) (sqrt (log (- 1.0 (/ 1 N)))) (log (* -1 N))) in N 1.906 * [taylor]: Rewrote expression to (+ (* (sqrt (log (- 1.0 (/ 1 N)))) (sqrt (log (- 1.0 (/ 1 N))))) (log (* -1 N))) 1.906 * [taylor]: Taking taylor expansion of (* (sqrt (log (- 1.0 (/ 1 N)))) (sqrt (log (- 1.0 (/ 1 N))))) in N 1.907 * [taylor]: Taking taylor expansion of (sqrt (log (- 1.0 (/ 1 N)))) in N 1.907 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.907 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.907 * [taylor]: Taking taylor expansion of 1.0 in N 1.907 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.907 * [taylor]: Taking taylor expansion of N in N 1.915 * [taylor]: Taking taylor expansion of (sqrt (log (- 1.0 (/ 1 N)))) in N 1.915 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.915 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.915 * [taylor]: Taking taylor expansion of 1.0 in N 1.915 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.915 * [taylor]: Taking taylor expansion of N in N 1.923 * [taylor]: Taking taylor expansion of (log (* -1 N)) in N 1.923 * [taylor]: Taking taylor expansion of (* -1 N) in N 1.923 * [taylor]: Taking taylor expansion of -1 in N 1.923 * [taylor]: Taking taylor expansion of N in N 1.959 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.959 * [approximate]: Taking taylor expansion of (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N))) in (N) around 0 1.959 * [taylor]: Taking taylor expansion of (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N))) in N 1.959 * [taylor]: Rewrote expression to (+ (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (log (/ 1 N))) 1.959 * [taylor]: Taking taylor expansion of (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) in N 1.959 * [taylor]: Taking taylor expansion of (sqrt (log (+ N 1.0))) in N 1.959 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.959 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.959 * [taylor]: Taking taylor expansion of N in N 1.959 * [taylor]: Taking taylor expansion of 1.0 in N 1.965 * [taylor]: Taking taylor expansion of (sqrt (log (+ N 1.0))) in N 1.965 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.965 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.965 * [taylor]: Taking taylor expansion of N in N 1.965 * [taylor]: Taking taylor expansion of 1.0 in N 1.971 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.971 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.971 * [taylor]: Taking taylor expansion of N in N 1.971 * [taylor]: Taking taylor expansion of (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N))) in N 1.972 * [taylor]: Rewrote expression to (+ (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (log (/ 1 N))) 1.972 * [taylor]: Taking taylor expansion of (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) in N 1.972 * [taylor]: Taking taylor expansion of (sqrt (log (+ N 1.0))) in N 1.972 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.972 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.972 * [taylor]: Taking taylor expansion of N in N 1.972 * [taylor]: Taking taylor expansion of 1.0 in N 1.977 * [taylor]: Taking taylor expansion of (sqrt (log (+ N 1.0))) in N 1.977 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.977 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.978 * [taylor]: Taking taylor expansion of N in N 1.978 * [taylor]: Taking taylor expansion of 1.0 in N 1.983 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.983 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.983 * [taylor]: Taking taylor expansion of N in N 2.055 * [approximate]: Taking taylor expansion of (fma (sqrt (log (+ (/ 1 N) 1.0))) (sqrt (log (+ (/ 1 N) 1.0))) (log N)) in (N) around 0 2.056 * [taylor]: Taking taylor expansion of (fma (sqrt (log (+ (/ 1 N) 1.0))) (sqrt (log (+ (/ 1 N) 1.0))) (log N)) in N 2.056 * [taylor]: Rewrote expression to (+ (* (sqrt (log (+ (/ 1 N) 1.0))) (sqrt (log (+ (/ 1 N) 1.0)))) (log N)) 2.056 * [taylor]: Taking taylor expansion of (* (sqrt (log (+ (/ 1 N) 1.0))) (sqrt (log (+ (/ 1 N) 1.0)))) in N 2.056 * [taylor]: Taking taylor expansion of (sqrt (log (+ (/ 1 N) 1.0))) in N 2.056 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.056 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.056 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.056 * [taylor]: Taking taylor expansion of N in N 2.056 * [taylor]: Taking taylor expansion of 1.0 in N 2.062 * [taylor]: Taking taylor expansion of (sqrt (log (+ (/ 1 N) 1.0))) in N 2.062 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.062 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.062 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.062 * [taylor]: Taking taylor expansion of N in N 2.062 * [taylor]: Taking taylor expansion of 1.0 in N 2.068 * [taylor]: Taking taylor expansion of (log N) in N 2.068 * [taylor]: Taking taylor expansion of N in N 2.068 * [taylor]: Taking taylor expansion of (fma (sqrt (log (+ (/ 1 N) 1.0))) (sqrt (log (+ (/ 1 N) 1.0))) (log N)) in N 2.069 * [taylor]: Rewrote expression to (+ (* (sqrt (log (+ (/ 1 N) 1.0))) (sqrt (log (+ (/ 1 N) 1.0)))) (log N)) 2.069 * [taylor]: Taking taylor expansion of (* (sqrt (log (+ (/ 1 N) 1.0))) (sqrt (log (+ (/ 1 N) 1.0)))) in N 2.069 * [taylor]: Taking taylor expansion of (sqrt (log (+ (/ 1 N) 1.0))) in N 2.069 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.069 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.069 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.069 * [taylor]: Taking taylor expansion of N in N 2.069 * [taylor]: Taking taylor expansion of 1.0 in N 2.075 * [taylor]: Taking taylor expansion of (sqrt (log (+ (/ 1 N) 1.0))) in N 2.075 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.075 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.075 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.075 * [taylor]: Taking taylor expansion of N in N 2.075 * [taylor]: Taking taylor expansion of 1.0 in N 2.081 * [taylor]: Taking taylor expansion of (log N) in N 2.081 * [taylor]: Taking taylor expansion of N in N 2.108 * [approximate]: Taking taylor expansion of (fma (sqrt (log (- 1.0 (/ 1 N)))) (sqrt (log (- 1.0 (/ 1 N)))) (log (* -1 N))) in (N) around 0 2.108 * [taylor]: Taking taylor expansion of (fma (sqrt (log (- 1.0 (/ 1 N)))) (sqrt (log (- 1.0 (/ 1 N)))) (log (* -1 N))) in N 2.108 * [taylor]: Rewrote expression to (+ (* (sqrt (log (- 1.0 (/ 1 N)))) (sqrt (log (- 1.0 (/ 1 N))))) (log (* -1 N))) 2.109 * [taylor]: Taking taylor expansion of (* (sqrt (log (- 1.0 (/ 1 N)))) (sqrt (log (- 1.0 (/ 1 N))))) in N 2.109 * [taylor]: Taking taylor expansion of (sqrt (log (- 1.0 (/ 1 N)))) in N 2.109 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.109 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.109 * [taylor]: Taking taylor expansion of 1.0 in N 2.109 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.109 * [taylor]: Taking taylor expansion of N in N 2.117 * [taylor]: Taking taylor expansion of (sqrt (log (- 1.0 (/ 1 N)))) in N 2.117 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.117 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.117 * [taylor]: Taking taylor expansion of 1.0 in N 2.117 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.117 * [taylor]: Taking taylor expansion of N in N 2.125 * [taylor]: Taking taylor expansion of (log (* -1 N)) in N 2.125 * [taylor]: Taking taylor expansion of (* -1 N) in N 2.125 * [taylor]: Taking taylor expansion of -1 in N 2.125 * [taylor]: Taking taylor expansion of N in N 2.126 * [taylor]: Taking taylor expansion of (fma (sqrt (log (- 1.0 (/ 1 N)))) (sqrt (log (- 1.0 (/ 1 N)))) (log (* -1 N))) in N 2.126 * [taylor]: Rewrote expression to (+ (* (sqrt (log (- 1.0 (/ 1 N)))) (sqrt (log (- 1.0 (/ 1 N))))) (log (* -1 N))) 2.126 * [taylor]: Taking taylor expansion of (* (sqrt (log (- 1.0 (/ 1 N)))) (sqrt (log (- 1.0 (/ 1 N))))) in N 2.126 * [taylor]: Taking taylor expansion of (sqrt (log (- 1.0 (/ 1 N)))) in N 2.126 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.126 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.126 * [taylor]: Taking taylor expansion of 1.0 in N 2.126 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.126 * [taylor]: Taking taylor expansion of N in N 2.134 * [taylor]: Taking taylor expansion of (sqrt (log (- 1.0 (/ 1 N)))) in N 2.134 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.134 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.134 * [taylor]: Taking taylor expansion of 1.0 in N 2.134 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.134 * [taylor]: Taking taylor expansion of N in N 2.142 * [taylor]: Taking taylor expansion of (log (* -1 N)) in N 2.142 * [taylor]: Taking taylor expansion of (* -1 N) in N 2.142 * [taylor]: Taking taylor expansion of -1 in N 2.142 * [taylor]: Taking taylor expansion of N in N 2.172 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 2.172 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 2.172 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.172 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.172 * [taylor]: Taking taylor expansion of N in N 2.172 * [taylor]: Taking taylor expansion of 1.0 in N 2.173 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.173 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.173 * [taylor]: Taking taylor expansion of N in N 2.173 * [taylor]: Taking taylor expansion of 1.0 in N 2.184 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 2.184 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.184 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.184 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.184 * [taylor]: Taking taylor expansion of N in N 2.185 * [taylor]: Taking taylor expansion of 1.0 in N 2.185 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.185 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.185 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.185 * [taylor]: Taking taylor expansion of N in N 2.186 * [taylor]: Taking taylor expansion of 1.0 in N 2.205 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 2.205 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.205 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.205 * [taylor]: Taking taylor expansion of 1.0 in N 2.205 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.205 * [taylor]: Taking taylor expansion of N in N 2.206 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.206 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.206 * [taylor]: Taking taylor expansion of 1.0 in N 2.206 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.206 * [taylor]: Taking taylor expansion of N in N 2.221 * * * [progress]: simplifying candidates 2.222 * [simplify]: Simplifying using # : (expm1 (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (log1p (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (log (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (exp (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (* (cbrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (cbrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N))))) (cbrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (* (* (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (sqrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (sqrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (expm1 (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (log1p (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (log (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (exp (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (* (cbrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (cbrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N))))) (cbrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (* (* (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (sqrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (sqrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (expm1 (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (log1p (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (log (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (exp (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (* (cbrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (cbrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N))))) (cbrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (* (* (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (sqrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (sqrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 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))) (- (+ (* 1.0 (/ 1 N)) (+ (pow (sqrt (- (log (/ 1 N)))) 2) (log (/ 1 N)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (* 2 (log -1))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 1.0 (/ 1 N)) (+ (pow (sqrt (- (log (/ 1 N)))) 2) (log (/ 1 N)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (* 2 (log -1))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 1.0 (/ 1 N)) (+ (pow (sqrt (- (log (/ 1 N)))) 2) (log (/ 1 N)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (* 2 (log -1))) (* 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)))) 2.226 * * [simplify]: iteration 0 : 181 enodes (cost 564 ) 2.230 * * [simplify]: iteration 1 : 534 enodes (cost 466 ) 2.238 * * [simplify]: iteration 2 : 1926 enodes (cost 419 ) 2.277 * * [simplify]: iteration 3 : 5002 enodes (cost 411 ) 2.279 * [simplify]: Simplified to: (expm1 (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (log1p (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (log (+ N 1.0)) (log (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (/ (+ N 1.0) (exp (log N))) (* (cbrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (cbrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N))))) (cbrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (sqrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (expm1 (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (log1p (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (log (+ N 1.0)) (log (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (/ (+ N 1.0) (exp (log N))) (* (cbrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (cbrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N))))) (cbrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (sqrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (expm1 (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (log1p (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (log (+ N 1.0)) (log (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (/ (+ N 1.0) (exp (log N))) (* (cbrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (cbrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N))))) (cbrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (sqrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (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)))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (fma (log -1) 2 (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (fma 1.0 N (- (log 1.0) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N)))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (fma (log -1) 2 (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (fma 1.0 N (- (log 1.0) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N)))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (fma (log -1) 2 (* (/ 1 N) (- 1.0 (/ 0.5 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 N) (- 1.0 (/ 0.5 N)) (log N)) 2.280 * * * [progress]: adding candidates to table 2.495 * [progress]: [Phase 3 of 3] Extracting. 2.495 * * [regime]: Finding splitpoints for: (# # # #) 2.496 * * * [regime-changes]: Trying 1 branch expressions: (N) 2.496 * * * * [regimes]: Trying to branch on N from (# # # #) 2.523 * * * [regime]: Found split indices: #