28.890 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.091 * * * [progress]: [2/2] Setting up program. 0.096 * [progress]: [Phase 2 of 3] Improving. 0.096 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.103 * * [simplify]: iteration 0 : 71 enodes (cost 7 ) 0.104 * * [simplify]: iteration 1 : 71 enodes (cost 7 ) 0.104 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.105 * * [progress]: iteration 1 / 4 0.105 * * * [progress]: picking best candidate 0.109 * * * * [pick]: Picked # 0.109 * * * [progress]: localizing error 0.123 * * * [progress]: generating rewritten candidates 0.123 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.130 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.146 * * * [progress]: generating series expansions 0.146 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.146 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.146 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.146 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.146 * [taylor]: Taking taylor expansion of N in N 0.146 * [taylor]: Taking taylor expansion of 1.0 in N 0.146 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.146 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.146 * [taylor]: Taking taylor expansion of N in N 0.146 * [taylor]: Taking taylor expansion of 1.0 in N 0.148 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.148 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.148 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.148 * [taylor]: Taking taylor expansion of N in N 0.148 * [taylor]: Taking taylor expansion of 1.0 in N 0.148 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.148 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.148 * [taylor]: Taking taylor expansion of N in N 0.148 * [taylor]: Taking taylor expansion of 1.0 in N 0.150 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.150 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.150 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.150 * [taylor]: Taking taylor expansion of 1.0 in N 0.150 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.150 * [taylor]: Taking taylor expansion of N in N 0.150 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.150 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.150 * [taylor]: Taking taylor expansion of 1.0 in N 0.150 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.150 * [taylor]: Taking taylor expansion of N in N 0.151 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.152 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.152 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.152 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.152 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.152 * [taylor]: Taking taylor expansion of N in N 0.152 * [taylor]: Taking taylor expansion of 1.0 in N 0.152 * [taylor]: Taking taylor expansion of (log N) in N 0.152 * [taylor]: Taking taylor expansion of N in N 0.152 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.152 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.152 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.152 * [taylor]: Taking taylor expansion of N in N 0.152 * [taylor]: Taking taylor expansion of 1.0 in N 0.152 * [taylor]: Taking taylor expansion of (log N) in N 0.152 * [taylor]: Taking taylor expansion of N in N 0.154 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.155 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.155 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.155 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.155 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.155 * [taylor]: Taking taylor expansion of N in N 0.155 * [taylor]: Taking taylor expansion of 1.0 in N 0.155 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.155 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.155 * [taylor]: Taking taylor expansion of N in N 0.155 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.155 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.155 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.155 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.155 * [taylor]: Taking taylor expansion of N in N 0.155 * [taylor]: Taking taylor expansion of 1.0 in N 0.155 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.155 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.155 * [taylor]: Taking taylor expansion of N in N 0.159 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.159 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.159 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.159 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.159 * [taylor]: Taking taylor expansion of 1.0 in N 0.159 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.159 * [taylor]: Taking taylor expansion of N in N 0.159 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.159 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.159 * [taylor]: Taking taylor expansion of -1 in N 0.159 * [taylor]: Taking taylor expansion of N in N 0.159 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.160 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.160 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.160 * [taylor]: Taking taylor expansion of 1.0 in N 0.160 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.160 * [taylor]: Taking taylor expansion of N in N 0.160 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.160 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.160 * [taylor]: Taking taylor expansion of -1 in N 0.160 * [taylor]: Taking taylor expansion of N in N 0.162 * * * [progress]: simplifying candidates 0.170 * [simplify]: Simplifying using # : (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (neg (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)) (neg (log N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log (neg 1))) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (log 1) (+ (* 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)))) (- (+ (* 1.0 (/ 1 N)) (log (neg 1))) (+ (* 0.5 (/ 1 (pow N 2))) (log -1))) 0.246 * * [simplify]: iteration 0 : 5481 enodes (cost 437 ) 0.250 * [simplify]: Simplified to: (* (log (cbrt (+ N 1.0))) 2) (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)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (+ (log (+ N 1.0)) (log N)))) (neg (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)) -2)) (- (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)))) (log N)) (+ (log (- N 1.0)) (log N)) (neg (log N)) (+ (* N 1.0) (+ (log 1.0) (* (* N N) (/ -1/2 (* 1.0 1.0))))) (+ (log N) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (log N) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (* N 1.0) (+ (log 1.0) (- (* (* N N) (/ -1/2 (* 1.0 1.0))) (log N)))) (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (- (/ 1.0 N) (/ 0.5 (* N N))) 0.251 * * * [progress]: adding candidates to table 0.399 * * [progress]: iteration 2 / 4 0.399 * * * [progress]: picking best candidate 0.406 * * * * [pick]: Picked # 0.406 * * * [progress]: localizing error 0.416 * * * [progress]: generating rewritten candidates 0.416 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.423 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.444 * * * [progress]: generating series expansions 0.444 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.444 * [approximate]: Taking taylor expansion of (/ 0.5 (pow N 2)) in (N) around 0 0.444 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 0.444 * [taylor]: Taking taylor expansion of 0.5 in N 0.444 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.444 * [taylor]: Taking taylor expansion of N in N 0.444 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 0.444 * [taylor]: Taking taylor expansion of 0.5 in N 0.444 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.444 * [taylor]: Taking taylor expansion of N in N 0.446 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 0.446 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.446 * [taylor]: Taking taylor expansion of 0.5 in N 0.446 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.446 * [taylor]: Taking taylor expansion of N in N 0.446 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.446 * [taylor]: Taking taylor expansion of 0.5 in N 0.446 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.446 * [taylor]: Taking taylor expansion of N in N 0.448 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 0.448 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.448 * [taylor]: Taking taylor expansion of 0.5 in N 0.448 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.448 * [taylor]: Taking taylor expansion of N in N 0.448 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.448 * [taylor]: Taking taylor expansion of 0.5 in N 0.448 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.448 * [taylor]: Taking taylor expansion of N in N 0.449 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.449 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 0.449 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in N 0.449 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.449 * [taylor]: Taking taylor expansion of 1.0 in N 0.450 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.450 * [taylor]: Taking taylor expansion of N in N 0.450 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 0.450 * [taylor]: Taking taylor expansion of 0.5 in N 0.450 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.450 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.450 * [taylor]: Taking taylor expansion of N in N 0.450 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in N 0.450 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.450 * [taylor]: Taking taylor expansion of 1.0 in N 0.450 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.450 * [taylor]: Taking taylor expansion of N in N 0.450 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 0.450 * [taylor]: Taking taylor expansion of 0.5 in N 0.450 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.450 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.450 * [taylor]: Taking taylor expansion of N in N 0.454 * [approximate]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in (N) around 0 0.454 * [taylor]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in N 0.454 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.454 * [taylor]: Taking taylor expansion of 1.0 in N 0.454 * [taylor]: Taking taylor expansion of N in N 0.454 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.454 * [taylor]: Taking taylor expansion of 0.5 in N 0.454 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.454 * [taylor]: Taking taylor expansion of N in N 0.454 * [taylor]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in N 0.454 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.454 * [taylor]: Taking taylor expansion of 1.0 in N 0.454 * [taylor]: Taking taylor expansion of N in N 0.454 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.454 * [taylor]: Taking taylor expansion of 0.5 in N 0.454 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.454 * [taylor]: Taking taylor expansion of N in N 0.457 * [approximate]: Taking taylor expansion of (neg (+ (* 0.5 (pow N 2)) (* 1.0 N))) in (N) around 0 0.457 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (pow N 2)) (* 1.0 N))) in N 0.457 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 1.0 N)) in N 0.457 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.457 * [taylor]: Taking taylor expansion of 0.5 in N 0.457 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.457 * [taylor]: Taking taylor expansion of N in N 0.457 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.457 * [taylor]: Taking taylor expansion of 1.0 in N 0.457 * [taylor]: Taking taylor expansion of N in N 0.457 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (pow N 2)) (* 1.0 N))) in N 0.457 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 1.0 N)) in N 0.457 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.457 * [taylor]: Taking taylor expansion of 0.5 in N 0.458 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.458 * [taylor]: Taking taylor expansion of N in N 0.458 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.458 * [taylor]: Taking taylor expansion of 1.0 in N 0.458 * [taylor]: Taking taylor expansion of N in N 0.460 * * * [progress]: simplifying candidates 0.461 * [simplify]: Simplifying using # : (- (log 0.5) (+ (log N) (log N))) (- (log 0.5) (log (* N N))) (log (/ 0.5 (* N N))) (exp (/ 0.5 (* N N))) (/ (* (* 0.5 0.5) 0.5) (* (* (* N N) N) (* (* N N) N))) (/ (* (* 0.5 0.5) 0.5) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (cbrt (/ 0.5 (* N N))) (* (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (neg 0.5) (neg (* N N)) (/ (* (cbrt 0.5) (cbrt 0.5)) N) (/ (cbrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ 1 N) (/ 0.5 N) (/ 1 (* N N)) (/ (* N N) 0.5) (/ 0.5 N) (/ (* N N) (cbrt 0.5)) (/ (* N N) (sqrt 0.5)) (/ (* N N) 0.5) (/ (exp (/ 1.0 N)) (exp (/ 0.5 (* N N)))) (log (- (/ 1.0 N) (/ 0.5 (* N N)))) (exp (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (- (* 1.0 (* N N)) (* N 0.5)) (* N (* N N)) (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N))))) (neg (/ 0.5 (* N N))) (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (+ (/ 1.0 N) (/ 0.5 (* N N))) (+ (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N)))) (- (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N)))) (+ (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)) (- (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)) (+ (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N)))) (- (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N)) (- (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N)) (- (/ 1.0 N) (/ 0.5 (* N N))) (neg (/ 0.5 (* N N))) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 0.563 * * [simplify]: iteration 0 : 4863 enodes (cost 442 ) 0.563 * * [simplify]: iteration 1 : 4863 enodes (cost 442 ) 0.567 * [simplify]: Simplified to: (log (/ 0.5 (* N N))) (log (/ 0.5 (* N N))) (log (/ 0.5 (* N N))) (exp (/ 0.5 (* N N))) (/ (pow 0.5 3) (pow N 6)) (/ (pow 0.5 3) (pow N 6)) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (cbrt (/ 0.5 (* N N))) (/ (pow 0.5 3) (pow N 6)) (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (neg 0.5) (* N (neg N)) (* (cbrt 0.5) (/ (cbrt 0.5) N)) (/ (cbrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ 1 N) (/ 0.5 N) (/ 1 (* N N)) (* N (/ N 0.5)) (/ 0.5 N) (* N (/ N (cbrt 0.5))) (* N (/ N (sqrt 0.5))) (* N (/ N 0.5)) (pow (exp (/ 1 N)) (- 1.0 (/ 0.5 N))) (+ (neg (log N)) (log (- 1.0 (/ 0.5 N)))) (pow (exp (/ 1 N)) (- 1.0 (/ 0.5 N))) (* (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (pow (- (/ 1.0 N) (/ 0.5 (* N N))) 3) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (* N (- (* N 1.0) 0.5)) (pow N 3) (- (pow (/ 1.0 N) 3) (/ (pow 0.5 3) (pow N 6))) (+ (* 0.5 (/ 0.5 (pow N 4))) (* (/ 1.0 (* N N)) (+ (/ 0.5 N) 1.0))) (/ (neg 0.5) (* N N)) (- (* 1.0 (/ 1.0 (* N N))) (* 0.5 (/ 0.5 (pow N 4)))) (+ (/ 0.5 (* N N)) (/ 1.0 N)) (+ (sqrt (/ 0.5 (* N N))) (sqrt (/ 1.0 N))) (- (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 0.5) N) (sqrt (/ 1.0 N))) (- (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)) (+ (sqrt (/ 0.5 (* N N))) (/ (sqrt 1.0) (sqrt N))) (- (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 0.5) N) (/ (sqrt 1.0) (sqrt N))) (- (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N)) (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (neg 0.5) (* N N)) (/ 0.5 (* N N)) (/ 0.5 (* N N)) (/ 0.5 (* N N)) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))) 0.568 * * * [progress]: adding candidates to table 0.655 * * [progress]: iteration 3 / 4 0.655 * * * [progress]: picking best candidate 0.664 * * * * [pick]: Picked # 0.664 * * * [progress]: localizing error 0.682 * * * [progress]: generating rewritten candidates 0.682 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.689 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.699 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.778 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.794 * * * [progress]: generating series expansions 0.794 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.794 * [approximate]: Taking taylor expansion of (/ (sqrt 0.5) N) in (N) around 0 0.795 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) N) in N 0.795 * [taylor]: Taking taylor expansion of (sqrt 0.5) in N 0.795 * [taylor]: Taking taylor expansion of 0.5 in N 0.795 * [taylor]: Taking taylor expansion of N in N 0.795 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) N) in N 0.795 * [taylor]: Taking taylor expansion of (sqrt 0.5) in N 0.795 * [taylor]: Taking taylor expansion of 0.5 in N 0.795 * [taylor]: Taking taylor expansion of N in N 0.797 * [approximate]: Taking taylor expansion of (* N (sqrt 0.5)) in (N) around 0 0.797 * [taylor]: Taking taylor expansion of (* N (sqrt 0.5)) in N 0.797 * [taylor]: Taking taylor expansion of N in N 0.797 * [taylor]: Taking taylor expansion of (sqrt 0.5) in N 0.797 * [taylor]: Taking taylor expansion of 0.5 in N 0.797 * [taylor]: Taking taylor expansion of (* N (sqrt 0.5)) in N 0.797 * [taylor]: Taking taylor expansion of N in N 0.797 * [taylor]: Taking taylor expansion of (sqrt 0.5) in N 0.797 * [taylor]: Taking taylor expansion of 0.5 in N 0.799 * [approximate]: Taking taylor expansion of (* -1 (* N (sqrt 0.5))) in (N) around 0 0.799 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt 0.5))) in N 0.799 * [taylor]: Taking taylor expansion of -1 in N 0.799 * [taylor]: Taking taylor expansion of (* N (sqrt 0.5)) in N 0.799 * [taylor]: Taking taylor expansion of N in N 0.799 * [taylor]: Taking taylor expansion of (sqrt 0.5) in N 0.799 * [taylor]: Taking taylor expansion of 0.5 in N 0.799 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt 0.5))) in N 0.799 * [taylor]: Taking taylor expansion of -1 in N 0.799 * [taylor]: Taking taylor expansion of (* N (sqrt 0.5)) in N 0.799 * [taylor]: Taking taylor expansion of N in N 0.799 * [taylor]: Taking taylor expansion of (sqrt 0.5) in N 0.799 * [taylor]: Taking taylor expansion of 0.5 in N 0.802 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.802 * [approximate]: Taking taylor expansion of (/ (sqrt 0.5) N) in (N) around 0 0.802 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) N) in N 0.802 * [taylor]: Taking taylor expansion of (sqrt 0.5) in N 0.802 * [taylor]: Taking taylor expansion of 0.5 in N 0.802 * [taylor]: Taking taylor expansion of N in N 0.803 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) N) in N 0.803 * [taylor]: Taking taylor expansion of (sqrt 0.5) in N 0.803 * [taylor]: Taking taylor expansion of 0.5 in N 0.803 * [taylor]: Taking taylor expansion of N in N 0.805 * [approximate]: Taking taylor expansion of (* N (sqrt 0.5)) in (N) around 0 0.805 * [taylor]: Taking taylor expansion of (* N (sqrt 0.5)) in N 0.805 * [taylor]: Taking taylor expansion of N in N 0.805 * [taylor]: Taking taylor expansion of (sqrt 0.5) in N 0.805 * [taylor]: Taking taylor expansion of 0.5 in N 0.805 * [taylor]: Taking taylor expansion of (* N (sqrt 0.5)) in N 0.805 * [taylor]: Taking taylor expansion of N in N 0.805 * [taylor]: Taking taylor expansion of (sqrt 0.5) in N 0.805 * [taylor]: Taking taylor expansion of 0.5 in N 0.807 * [approximate]: Taking taylor expansion of (* -1 (* N (sqrt 0.5))) in (N) around 0 0.807 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt 0.5))) in N 0.807 * [taylor]: Taking taylor expansion of -1 in N 0.807 * [taylor]: Taking taylor expansion of (* N (sqrt 0.5)) in N 0.807 * [taylor]: Taking taylor expansion of N in N 0.807 * [taylor]: Taking taylor expansion of (sqrt 0.5) in N 0.807 * [taylor]: Taking taylor expansion of 0.5 in N 0.807 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt 0.5))) in N 0.807 * [taylor]: Taking taylor expansion of -1 in N 0.807 * [taylor]: Taking taylor expansion of (* N (sqrt 0.5)) in N 0.807 * [taylor]: Taking taylor expansion of N in N 0.807 * [taylor]: Taking taylor expansion of (sqrt 0.5) in N 0.807 * [taylor]: Taking taylor expansion of 0.5 in N 0.810 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.810 * [approximate]: Taking taylor expansion of (* (- (* (sqrt (/ 1 N)) (sqrt 1.0)) (/ (sqrt 0.5) N)) (+ (* (sqrt (/ 1 N)) (sqrt 1.0)) (/ (sqrt 0.5) N))) in (N) around 0 0.810 * [taylor]: Taking taylor expansion of (* (- (* (sqrt (/ 1 N)) (sqrt 1.0)) (/ (sqrt 0.5) N)) (+ (* (sqrt (/ 1 N)) (sqrt 1.0)) (/ (sqrt 0.5) N))) in N 0.810 * [taylor]: Taking taylor expansion of (- (* (sqrt (/ 1 N)) (sqrt 1.0)) (/ (sqrt 0.5) N)) in N 0.810 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (sqrt 1.0)) in N 0.810 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 0.810 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.810 * [taylor]: Taking taylor expansion of N in N 0.811 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N 0.811 * [taylor]: Taking taylor expansion of 1.0 in N 0.811 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) N) in N 0.811 * [taylor]: Taking taylor expansion of (sqrt 0.5) in N 0.811 * [taylor]: Taking taylor expansion of 0.5 in N 0.811 * [taylor]: Taking taylor expansion of N in N 0.811 * [taylor]: Taking taylor expansion of (+ (* (sqrt (/ 1 N)) (sqrt 1.0)) (/ (sqrt 0.5) N)) in N 0.811 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (sqrt 1.0)) in N 0.811 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 0.811 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.811 * [taylor]: Taking taylor expansion of N in N 0.811 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N 0.811 * [taylor]: Taking taylor expansion of 1.0 in N 0.811 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) N) in N 0.811 * [taylor]: Taking taylor expansion of (sqrt 0.5) in N 0.811 * [taylor]: Taking taylor expansion of 0.5 in N 0.811 * [taylor]: Taking taylor expansion of N in N 0.812 * [taylor]: Taking taylor expansion of (* (- (* (sqrt (/ 1 N)) (sqrt 1.0)) (/ (sqrt 0.5) N)) (+ (* (sqrt (/ 1 N)) (sqrt 1.0)) (/ (sqrt 0.5) N))) in N 0.812 * [taylor]: Taking taylor expansion of (- (* (sqrt (/ 1 N)) (sqrt 1.0)) (/ (sqrt 0.5) N)) in N 0.812 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (sqrt 1.0)) in N 0.812 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 0.812 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.812 * [taylor]: Taking taylor expansion of N in N 0.812 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N 0.812 * [taylor]: Taking taylor expansion of 1.0 in N 0.812 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) N) in N 0.812 * [taylor]: Taking taylor expansion of (sqrt 0.5) in N 0.812 * [taylor]: Taking taylor expansion of 0.5 in N 0.812 * [taylor]: Taking taylor expansion of N in N 0.812 * [taylor]: Taking taylor expansion of (+ (* (sqrt (/ 1 N)) (sqrt 1.0)) (/ (sqrt 0.5) N)) in N 0.812 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (sqrt 1.0)) in N 0.812 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 0.812 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.812 * [taylor]: Taking taylor expansion of N in N 0.812 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N 0.812 * [taylor]: Taking taylor expansion of 1.0 in N 0.812 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) N) in N 0.812 * [taylor]: Taking taylor expansion of (sqrt 0.5) in N 0.813 * [taylor]: Taking taylor expansion of 0.5 in N 0.813 * [taylor]: Taking taylor expansion of N in N 0.824 * [approximate]: Taking taylor expansion of (* (- (* (sqrt N) (sqrt 1.0)) (* N (sqrt 0.5))) (+ (* (sqrt N) (sqrt 1.0)) (* N (sqrt 0.5)))) in (N) around 0 0.824 * [taylor]: Taking taylor expansion of (* (- (* (sqrt N) (sqrt 1.0)) (* N (sqrt 0.5))) (+ (* (sqrt N) (sqrt 1.0)) (* N (sqrt 0.5)))) in N 0.824 * [taylor]: Taking taylor expansion of (- (* (sqrt N) (sqrt 1.0)) (* N (sqrt 0.5))) in N 0.824 * [taylor]: Taking taylor expansion of (* (sqrt N) (sqrt 1.0)) in N 0.824 * [taylor]: Taking taylor expansion of (sqrt N) in N 0.824 * [taylor]: Taking taylor expansion of N in N 0.824 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N 0.824 * [taylor]: Taking taylor expansion of 1.0 in N 0.825 * [taylor]: Taking taylor expansion of (* N (sqrt 0.5)) in N 0.825 * [taylor]: Taking taylor expansion of N in N 0.825 * [taylor]: Taking taylor expansion of (sqrt 0.5) in N 0.825 * [taylor]: Taking taylor expansion of 0.5 in N 0.825 * [taylor]: Taking taylor expansion of (+ (* (sqrt N) (sqrt 1.0)) (* N (sqrt 0.5))) in N 0.825 * [taylor]: Taking taylor expansion of (* (sqrt N) (sqrt 1.0)) in N 0.825 * [taylor]: Taking taylor expansion of (sqrt N) in N 0.825 * [taylor]: Taking taylor expansion of N in N 0.825 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N 0.825 * [taylor]: Taking taylor expansion of 1.0 in N 0.825 * [taylor]: Taking taylor expansion of (* N (sqrt 0.5)) in N 0.825 * [taylor]: Taking taylor expansion of N in N 0.825 * [taylor]: Taking taylor expansion of (sqrt 0.5) in N 0.825 * [taylor]: Taking taylor expansion of 0.5 in N 0.825 * [taylor]: Taking taylor expansion of (* (- (* (sqrt N) (sqrt 1.0)) (* N (sqrt 0.5))) (+ (* (sqrt N) (sqrt 1.0)) (* N (sqrt 0.5)))) in N 0.825 * [taylor]: Taking taylor expansion of (- (* (sqrt N) (sqrt 1.0)) (* N (sqrt 0.5))) in N 0.825 * [taylor]: Taking taylor expansion of (* (sqrt N) (sqrt 1.0)) in N 0.825 * [taylor]: Taking taylor expansion of (sqrt N) in N 0.825 * [taylor]: Taking taylor expansion of N in N 0.825 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N 0.825 * [taylor]: Taking taylor expansion of 1.0 in N 0.826 * [taylor]: Taking taylor expansion of (* N (sqrt 0.5)) in N 0.826 * [taylor]: Taking taylor expansion of N in N 0.826 * [taylor]: Taking taylor expansion of (sqrt 0.5) in N 0.826 * [taylor]: Taking taylor expansion of 0.5 in N 0.826 * [taylor]: Taking taylor expansion of (+ (* (sqrt N) (sqrt 1.0)) (* N (sqrt 0.5))) in N 0.826 * [taylor]: Taking taylor expansion of (* (sqrt N) (sqrt 1.0)) in N 0.826 * [taylor]: Taking taylor expansion of (sqrt N) in N 0.826 * [taylor]: Taking taylor expansion of N in N 0.826 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N 0.826 * [taylor]: Taking taylor expansion of 1.0 in N 0.826 * [taylor]: Taking taylor expansion of (* N (sqrt 0.5)) in N 0.826 * [taylor]: Taking taylor expansion of N in N 0.826 * [taylor]: Taking taylor expansion of (sqrt 0.5) in N 0.826 * [taylor]: Taking taylor expansion of 0.5 in N 0.839 * [approximate]: Taking taylor expansion of (* (+ (sqrt (* -1.0 N)) (* N (sqrt 0.5))) (- (sqrt (* -1.0 N)) (* N (sqrt 0.5)))) in (N) around 0 0.839 * [taylor]: Taking taylor expansion of (* (+ (sqrt (* -1.0 N)) (* N (sqrt 0.5))) (- (sqrt (* -1.0 N)) (* N (sqrt 0.5)))) in N 0.839 * [taylor]: Taking taylor expansion of (+ (sqrt (* -1.0 N)) (* N (sqrt 0.5))) in N 0.839 * [taylor]: Taking taylor expansion of (sqrt (* -1.0 N)) in N 0.839 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 0.839 * [taylor]: Taking taylor expansion of -1.0 in N 0.839 * [taylor]: Taking taylor expansion of N in N 0.839 * [taylor]: Taking taylor expansion of (* N (sqrt 0.5)) in N 0.839 * [taylor]: Taking taylor expansion of N in N 0.839 * [taylor]: Taking taylor expansion of (sqrt 0.5) in N 0.839 * [taylor]: Taking taylor expansion of 0.5 in N 0.839 * [taylor]: Taking taylor expansion of (- (sqrt (* -1.0 N)) (* N (sqrt 0.5))) in N 0.839 * [taylor]: Taking taylor expansion of (sqrt (* -1.0 N)) in N 0.839 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 0.839 * [taylor]: Taking taylor expansion of -1.0 in N 0.839 * [taylor]: Taking taylor expansion of N in N 0.840 * [taylor]: Taking taylor expansion of (* N (sqrt 0.5)) in N 0.840 * [taylor]: Taking taylor expansion of N in N 0.840 * [taylor]: Taking taylor expansion of (sqrt 0.5) in N 0.840 * [taylor]: Taking taylor expansion of 0.5 in N 0.840 * [taylor]: Taking taylor expansion of (* (+ (sqrt (* -1.0 N)) (* N (sqrt 0.5))) (- (sqrt (* -1.0 N)) (* N (sqrt 0.5)))) in N 0.840 * [taylor]: Taking taylor expansion of (+ (sqrt (* -1.0 N)) (* N (sqrt 0.5))) in N 0.840 * [taylor]: Taking taylor expansion of (sqrt (* -1.0 N)) in N 0.840 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 0.840 * [taylor]: Taking taylor expansion of -1.0 in N 0.840 * [taylor]: Taking taylor expansion of N in N 0.840 * [taylor]: Taking taylor expansion of (* N (sqrt 0.5)) in N 0.840 * [taylor]: Taking taylor expansion of N in N 0.840 * [taylor]: Taking taylor expansion of (sqrt 0.5) in N 0.840 * [taylor]: Taking taylor expansion of 0.5 in N 0.840 * [taylor]: Taking taylor expansion of (- (sqrt (* -1.0 N)) (* N (sqrt 0.5))) in N 0.840 * [taylor]: Taking taylor expansion of (sqrt (* -1.0 N)) in N 0.840 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 0.840 * [taylor]: Taking taylor expansion of -1.0 in N 0.840 * [taylor]: Taking taylor expansion of N in N 0.840 * [taylor]: Taking taylor expansion of (* N (sqrt 0.5)) in N 0.840 * [taylor]: Taking taylor expansion of N in N 0.841 * [taylor]: Taking taylor expansion of (sqrt 0.5) in N 0.841 * [taylor]: Taking taylor expansion of 0.5 in N 0.848 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.848 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 N)) (sqrt 1.0)) in (N) around 0 0.848 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (sqrt 1.0)) in N 0.848 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 0.848 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.848 * [taylor]: Taking taylor expansion of N in N 0.848 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N 0.848 * [taylor]: Taking taylor expansion of 1.0 in N 0.848 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (sqrt 1.0)) in N 0.848 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 0.848 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.848 * [taylor]: Taking taylor expansion of N in N 0.849 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N 0.849 * [taylor]: Taking taylor expansion of 1.0 in N 0.851 * [approximate]: Taking taylor expansion of (* (sqrt N) (sqrt 1.0)) in (N) around 0 0.851 * [taylor]: Taking taylor expansion of (* (sqrt N) (sqrt 1.0)) in N 0.851 * [taylor]: Taking taylor expansion of (sqrt N) in N 0.851 * [taylor]: Taking taylor expansion of N in N 0.851 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N 0.851 * [taylor]: Taking taylor expansion of 1.0 in N 0.851 * [taylor]: Taking taylor expansion of (* (sqrt N) (sqrt 1.0)) in N 0.851 * [taylor]: Taking taylor expansion of (sqrt N) in N 0.851 * [taylor]: Taking taylor expansion of N in N 0.851 * [taylor]: Taking taylor expansion of (sqrt 1.0) in N 0.852 * [taylor]: Taking taylor expansion of 1.0 in N 0.854 * [approximate]: Taking taylor expansion of (sqrt (* -1.0 N)) in (N) around 0 0.854 * [taylor]: Taking taylor expansion of (sqrt (* -1.0 N)) in N 0.854 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 0.854 * [taylor]: Taking taylor expansion of -1.0 in N 0.854 * [taylor]: Taking taylor expansion of N in N 0.854 * [taylor]: Taking taylor expansion of (sqrt (* -1.0 N)) in N 0.854 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 0.854 * [taylor]: Taking taylor expansion of -1.0 in N 0.854 * [taylor]: Taking taylor expansion of N in N 0.856 * * * [progress]: simplifying candidates 0.860 * [simplify]: Simplifying using # : (- (log (sqrt 0.5)) (log N)) (log (/ (sqrt 0.5) N)) (exp (/ (sqrt 0.5) N)) (/ (* (* (sqrt 0.5) (sqrt 0.5)) (sqrt 0.5)) (* (* N N) N)) (* (cbrt (/ (sqrt 0.5) N)) (cbrt (/ (sqrt 0.5) N))) (cbrt (/ (sqrt 0.5) N)) (* (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N)) (/ (sqrt 0.5) N)) (sqrt (/ (sqrt 0.5) N)) (sqrt (/ (sqrt 0.5) N)) (neg (sqrt 0.5)) (neg N) (/ (* (cbrt (sqrt 0.5)) (cbrt (sqrt 0.5))) (* (cbrt N) (cbrt N))) (/ (cbrt (sqrt 0.5)) (cbrt N)) (/ (* (cbrt (sqrt 0.5)) (cbrt (sqrt 0.5))) (sqrt N)) (/ (cbrt (sqrt 0.5)) (sqrt N)) (/ (* (cbrt (sqrt 0.5)) (cbrt (sqrt 0.5))) 1) (/ (cbrt (sqrt 0.5)) N) (/ (sqrt (* (cbrt 0.5) (cbrt 0.5))) (* (cbrt N) (cbrt N))) (/ (sqrt (cbrt 0.5)) (cbrt N)) (/ (sqrt (* (cbrt 0.5) (cbrt 0.5))) (sqrt N)) (/ (sqrt (cbrt 0.5)) (sqrt N)) (/ (sqrt (* (cbrt 0.5) (cbrt 0.5))) 1) (/ (sqrt (cbrt 0.5)) N) (/ (sqrt (sqrt 0.5)) (* (cbrt N) (cbrt N))) (/ (sqrt (sqrt 0.5)) (cbrt N)) (/ (sqrt (sqrt 0.5)) (sqrt N)) (/ (sqrt (sqrt 0.5)) (sqrt N)) (/ (sqrt (sqrt 0.5)) 1) (/ (sqrt (sqrt 0.5)) N) (/ (sqrt 1) (* (cbrt N) (cbrt N))) (/ (sqrt 0.5) (cbrt N)) (/ (sqrt 1) (sqrt N)) (/ (sqrt 0.5) (sqrt N)) (/ (sqrt 1) 1) (/ (sqrt 0.5) N) (/ (sqrt (sqrt 0.5)) (* (cbrt N) (cbrt N))) (/ (sqrt (sqrt 0.5)) (cbrt N)) (/ (sqrt (sqrt 0.5)) (sqrt N)) (/ (sqrt (sqrt 0.5)) (sqrt N)) (/ (sqrt (sqrt 0.5)) 1) (/ (sqrt (sqrt 0.5)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt 0.5) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt 0.5) (sqrt N)) (/ 1 1) (/ (sqrt 0.5) N) (/ 1 N) (/ N (sqrt 0.5)) (/ (sqrt 0.5) (* (cbrt N) (cbrt N))) (/ (sqrt 0.5) (sqrt N)) (/ (sqrt 0.5) 1) (/ N (cbrt (sqrt 0.5))) (/ N (sqrt (cbrt 0.5))) (/ N (sqrt (sqrt 0.5))) (/ N (sqrt 0.5)) (/ N (sqrt (sqrt 0.5))) (/ N (sqrt 0.5)) (- (log (sqrt 0.5)) (log N)) (log (/ (sqrt 0.5) N)) (exp (/ (sqrt 0.5) N)) (/ (* (* (sqrt 0.5) (sqrt 0.5)) (sqrt 0.5)) (* (* N N) N)) (* (cbrt (/ (sqrt 0.5) N)) (cbrt (/ (sqrt 0.5) N))) (cbrt (/ (sqrt 0.5) N)) (* (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) N)) (/ (sqrt 0.5) N)) (sqrt (/ (sqrt 0.5) N)) (sqrt (/ (sqrt 0.5) N)) (neg (sqrt 0.5)) (neg N) (/ (* (cbrt (sqrt 0.5)) (cbrt (sqrt 0.5))) (* (cbrt N) (cbrt N))) (/ (cbrt (sqrt 0.5)) (cbrt N)) (/ (* (cbrt (sqrt 0.5)) (cbrt (sqrt 0.5))) (sqrt N)) (/ (cbrt (sqrt 0.5)) (sqrt N)) (/ (* (cbrt (sqrt 0.5)) (cbrt (sqrt 0.5))) 1) (/ (cbrt (sqrt 0.5)) N) (/ (sqrt (* (cbrt 0.5) (cbrt 0.5))) (* (cbrt N) (cbrt N))) (/ (sqrt (cbrt 0.5)) (cbrt N)) (/ (sqrt (* (cbrt 0.5) (cbrt 0.5))) (sqrt N)) (/ (sqrt (cbrt 0.5)) (sqrt N)) (/ (sqrt (* (cbrt 0.5) (cbrt 0.5))) 1) (/ (sqrt (cbrt 0.5)) N) (/ (sqrt (sqrt 0.5)) (* (cbrt N) (cbrt N))) (/ (sqrt (sqrt 0.5)) (cbrt N)) (/ (sqrt (sqrt 0.5)) (sqrt N)) (/ (sqrt (sqrt 0.5)) (sqrt N)) (/ (sqrt (sqrt 0.5)) 1) (/ (sqrt (sqrt 0.5)) N) (/ (sqrt 1) (* (cbrt N) (cbrt N))) (/ (sqrt 0.5) (cbrt N)) (/ (sqrt 1) (sqrt N)) (/ (sqrt 0.5) (sqrt N)) (/ (sqrt 1) 1) (/ (sqrt 0.5) N) (/ (sqrt (sqrt 0.5)) (* (cbrt N) (cbrt N))) (/ (sqrt (sqrt 0.5)) (cbrt N)) (/ (sqrt (sqrt 0.5)) (sqrt N)) (/ (sqrt (sqrt 0.5)) (sqrt N)) (/ (sqrt (sqrt 0.5)) 1) (/ (sqrt (sqrt 0.5)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt 0.5) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt 0.5) (sqrt N)) (/ 1 1) (/ (sqrt 0.5) N) (/ 1 N) (/ N (sqrt 0.5)) (/ (sqrt 0.5) (* (cbrt N) (cbrt N))) (/ (sqrt 0.5) (sqrt N)) (/ (sqrt 0.5) 1) (/ N (cbrt (sqrt 0.5))) (/ N (sqrt (cbrt 0.5))) (/ N (sqrt (sqrt 0.5))) (/ N (sqrt 0.5)) (/ N (sqrt (sqrt 0.5))) (/ N (sqrt 0.5)) (* (+ (/ (sqrt 0.5) N) (sqrt (/ 1.0 N))) (- (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N))) (+ (log (+ (/ (sqrt 0.5) N) (sqrt (/ 1.0 N)))) (log (- (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)))) (log (* (+ (/ (sqrt 0.5) N) (sqrt (/ 1.0 N))) (- (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)))) (exp (* (+ (/ (sqrt 0.5) N) (sqrt (/ 1.0 N))) (- (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)))) (* (* (* (+ (/ (sqrt 0.5) N) (sqrt (/ 1.0 N))) (+ (/ (sqrt 0.5) N) (sqrt (/ 1.0 N)))) (+ (/ (sqrt 0.5) N) (sqrt (/ 1.0 N)))) (* (* (- (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)) (- (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N))) (- (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)))) (* (cbrt (* (+ (/ (sqrt 0.5) N) (sqrt (/ 1.0 N))) (- (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)))) (cbrt (* (+ (/ (sqrt 0.5) 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N))))) (+ (/ 1.0 N) (* (/ (sqrt 0.5) N) (sqrt (/ 1.0 N)))) (* (/ (sqrt 0.5) N) (neg (+ (/ (sqrt 0.5) N) (sqrt (/ 1.0 N))))) (* (+ (/ (sqrt 0.5) N) (sqrt (/ 1.0 N))) (* (cbrt (- (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N))) (cbrt (- (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N))))) (* (+ (/ (sqrt 0.5) N) (sqrt (/ 1.0 N))) (sqrt (- (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)))) (+ (/ (sqrt 0.5) N) (sqrt (/ 1.0 N))) (* (+ (/ (sqrt 0.5) N) (sqrt (/ 1.0 N))) (+ (sqrt (/ (sqrt 0.5) N)) (sqrt (sqrt (/ 1.0 N))))) (* (+ (/ (sqrt 0.5) N) (sqrt (/ 1.0 N))) (+ (/ (sqrt (sqrt 0.5)) (sqrt N)) (sqrt (sqrt (/ 1.0 N))))) (* (+ (/ (sqrt 0.5) N) (sqrt (/ 1.0 N))) (+ (/ (sqrt (sqrt 0.5)) (sqrt N)) (sqrt (sqrt (/ 1.0 N))))) (* (+ (/ (sqrt 0.5) N) (sqrt (/ 1.0 N))) (+ (sqrt (/ (sqrt 0.5) N)) (sqrt (/ (sqrt 1.0) (sqrt N))))) (* (+ (/ (sqrt 0.5) N) (sqrt (/ 1.0 N))) (+ (/ (sqrt (sqrt 0.5)) (sqrt N)) (sqrt (/ (sqrt 1.0) (sqrt N))))) (* (+ (/ (sqrt 0.5) N) (sqrt (/ 1.0 N))) (+ (/ (sqrt (sqrt 0.5)) (sqrt N)) (sqrt (/ (sqrt 1.0) (sqrt N))))) (* 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3))) (* (- (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)) (- (/ 0.5 (* N N)) (/ 1.0 N))) (log (sqrt (/ 1.0 N))) (exp (sqrt (/ 1.0 N))) (* (cbrt (sqrt (/ 1.0 N))) (cbrt (sqrt (/ 1.0 N)))) (cbrt (sqrt (/ 1.0 N))) (pow (sqrt (/ 1.0 N)) 3) (fabs (cbrt (/ 1.0 N))) (sqrt (cbrt (/ 1.0 N))) (sqrt (sqrt (/ 1.0 N))) (sqrt (sqrt (/ 1.0 N))) (fabs (/ (cbrt 1.0) (cbrt N))) (sqrt (/ (cbrt 1.0) (cbrt N))) (sqrt (* (/ (cbrt 1.0) (sqrt N)) (cbrt 1.0))) (sqrt (/ (cbrt 1.0) (sqrt N))) (fabs (cbrt 1.0)) (sqrt (/ (cbrt 1.0) N)) (sqrt (/ (sqrt 1.0) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt 1.0) (cbrt N))) (sqrt (/ (sqrt 1.0) (sqrt N))) (sqrt (/ (sqrt 1.0) (sqrt N))) (sqrt (sqrt 1.0)) (sqrt (/ (sqrt 1.0) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ 1.0 (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ 1.0 (sqrt N))) 1 (sqrt (/ 1.0 N)) 1 (sqrt (/ 1.0 N)) (sqrt 1.0) (sqrt (/ 1 N)) (sqrt 1.0) (sqrt N) 1/2 (sqrt (sqrt (/ 1.0 N))) (sqrt (sqrt (/ 1.0 N))) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (- (* 1.0 (+ (* NAN NAN) (* 2 (* N (pow NAN 4))))) (/ 0.5 (* N N))) (+ (* (/ 1.0 N) (/ (* NAN NAN) N)) (+ (* 2 (* (/ (pow NAN 4) (pow N 3)) 1.0)) (- (* 3 (* (/ (pow NAN 6) (pow N 4)) 1.0)) (/ 0.5 (* N N))))) (+ (* 3 (/ (pow NAN 6) (pow N 4))) (+ (* (/ NAN N) (/ NAN N)) (- (* (/ (pow NAN 4) (pow N 3)) -2) (/ 0.5 (* N N))))) (* (sqrt 1.0) (+ NAN (* N (+ (pow NAN 3) (* (pow NAN 5) N))))) (+ (* (/ (sqrt 1.0) N) (/ (pow NAN 3) N)) (* (sqrt 1.0) (+ (/ (pow NAN 5) (pow N 3)) (/ NAN N)))) (- (/ (pow NAN 3) (* N N)) (+ (/ (pow NAN 5) (pow N 3)) (/ NAN N))) 0.918 * * * [progress]: adding candidates to table 1.566 * * [progress]: iteration 4 / 4 1.566 * * * [progress]: picking best candidate 1.573 * * * * [pick]: Picked # 1.573 * * * [progress]: localizing error 1.583 * * * [progress]: generating rewritten candidates 1.583 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.591 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.603 * * * [progress]: generating series expansions 1.603 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.603 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.603 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.603 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.603 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.603 * [taylor]: Taking taylor expansion of N in N 1.603 * [taylor]: Taking taylor expansion of 1.0 in N 1.604 * [taylor]: Taking taylor expansion of N in N 1.604 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.604 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.604 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.604 * [taylor]: Taking taylor expansion of N in N 1.604 * [taylor]: Taking taylor expansion of 1.0 in N 1.604 * [taylor]: Taking taylor expansion of N in N 1.605 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.605 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.605 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.605 * [taylor]: Taking taylor expansion of N in N 1.605 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.605 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.605 * [taylor]: Taking taylor expansion of N in N 1.605 * [taylor]: Taking taylor expansion of 1.0 in N 1.606 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.606 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.606 * [taylor]: Taking taylor expansion of N in N 1.606 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.606 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.606 * [taylor]: Taking taylor expansion of N in N 1.606 * [taylor]: Taking taylor expansion of 1.0 in N 1.607 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.607 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.607 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.607 * [taylor]: Taking taylor expansion of -1 in N 1.607 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.607 * [taylor]: Taking taylor expansion of N in N 1.607 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.607 * [taylor]: Taking taylor expansion of 1.0 in N 1.607 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.607 * [taylor]: Taking taylor expansion of N in N 1.608 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.608 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.608 * [taylor]: Taking taylor expansion of -1 in N 1.608 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.608 * [taylor]: Taking taylor expansion of N in N 1.608 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.608 * [taylor]: Taking taylor expansion of 1.0 in N 1.608 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.608 * [taylor]: Taking taylor expansion of N in N 1.609 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.610 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 1.610 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.610 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.610 * [taylor]: Taking taylor expansion of N in N 1.610 * [taylor]: Taking taylor expansion of 1.0 in N 1.610 * [taylor]: Taking taylor expansion of N in N 1.610 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.610 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.610 * [taylor]: Taking taylor expansion of N in N 1.610 * [taylor]: Taking taylor expansion of 1.0 in N 1.610 * [taylor]: Taking taylor expansion of N in N 1.615 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 1.615 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.615 * [taylor]: Taking taylor expansion of N in N 1.615 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.616 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.616 * [taylor]: Taking taylor expansion of N in N 1.616 * [taylor]: Taking taylor expansion of 1.0 in N 1.616 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.616 * [taylor]: Taking taylor expansion of N in N 1.616 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.616 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.616 * [taylor]: Taking taylor expansion of N in N 1.616 * [taylor]: Taking taylor expansion of 1.0 in N 1.618 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 1.618 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.619 * [taylor]: Taking taylor expansion of -1 in N 1.619 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.619 * [taylor]: Taking taylor expansion of N in N 1.619 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.619 * [taylor]: Taking taylor expansion of 1.0 in N 1.619 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.619 * [taylor]: Taking taylor expansion of N in N 1.619 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.619 * [taylor]: Taking taylor expansion of -1 in N 1.619 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.619 * [taylor]: Taking taylor expansion of N in N 1.619 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.619 * [taylor]: Taking taylor expansion of 1.0 in N 1.619 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.619 * [taylor]: Taking taylor expansion of N in N 1.622 * * * [progress]: simplifying candidates 1.624 * [simplify]: Simplifying using # : (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (neg (+ N 1.0)) (neg N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 1.690 * * [simplify]: iteration 0 : 4970 enodes (cost 619 ) 1.691 * * [simplify]: iteration 1 : 4970 enodes (cost 619 ) 1.696 * [simplify]: Simplified to: (* (log (cbrt (+ 1 (/ 1.0 N)))) 2) (log (cbrt (+ 1 (/ 1.0 N)))) (log (sqrt (+ 1 (/ 1.0 N)))) (log (sqrt (+ 1 (/ 1.0 N)))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (- (* 2 (log (cbrt (+ N 1.0)))) (log (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (+ (log (sqrt (+ N 1.0))) (* (log (cbrt N)) -2)) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (* (log (cbrt N)) -2) (log (/ (+ N 1.0) (cbrt N))) (neg (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log 1) (log (+ 1 (/ 1.0 N))) (* (log (cbrt N)) -2) (log (/ (+ N 1.0) (cbrt N))) (neg (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log 1) (log (+ 1 (/ 1.0 N))) (log 1) (log (+ 1 (/ 1.0 N))) (log (+ N 1.0)) (neg (log N)) (log (+ N 1.0)) (log N) (log (+ 1 (/ 1.0 N))) (log (log (+ 1 (/ 1.0 N)))) (+ 1 (/ 1.0 N)) (* (cbrt (log (+ 1 (/ 1.0 N)))) (cbrt (log (+ 1 (/ 1.0 N))))) (cbrt (log (+ 1 (/ 1.0 N)))) (pow (log (+ 1 (/ 1.0 N))) 3) (sqrt (log (+ 1 (/ 1.0 N)))) (sqrt (log (+ 1 (/ 1.0 N)))) (log (+ 1 (/ 1.0 N))) (log (+ 1 (/ 1.0 N))) (exp (+ 1 (/ 1.0 N))) (pow (+ 1 (/ 1.0 N)) 3) (* (cbrt (+ 1 (/ 1.0 N))) (cbrt (+ 1 (/ 1.0 N)))) (cbrt (+ 1 (/ 1.0 N))) (pow (+ 1 (/ 1.0 N)) 3) (sqrt (+ 1 (/ 1.0 N))) (sqrt (+ 1 (/ 1.0 N))) (- (neg N) 1.0) (neg N) (* (cbrt (+ N 1.0)) (/ (cbrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (/ (cbrt (+ N 1.0)) (cbrt N)) (* (cbrt (+ N 1.0)) (/ (cbrt (+ N 1.0)) (sqrt N))) (/ (cbrt (+ N 1.0)) (sqrt N)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (+ 1 (/ 1.0 N)) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (+ 1 (/ 1.0 N)) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (+ N 1.0) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (+ (pow N 3) (* N (* 1.0 (- 1.0 N)))) (* N (- N 1.0)) (+ (* N 1.0) (+ (log 1.0) (- (* (* (/ N 1.0) (/ N 1.0)) -1/2) (log N)))) (+ (log 1) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (log 1) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ 1 (/ 1.0 N)) (+ 1 (/ 1.0 N)) (+ 1 (/ 1.0 N)) 1.696 * * * [progress]: adding candidates to table 1.849 * [progress]: [Phase 3 of 3] Extracting. 1.849 * * [regime]: Finding splitpoints for: (# # #) 1.849 * * * [regime-changes]: Trying 1 branch expressions: (N) 1.849 * * * * [regimes]: Trying to branch on N from (# # #) 1.902 * * * [regime]: Found split indices: #