5.929 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.051 * * * [progress]: [2/2] Setting up program. 0.053 * [progress]: [Phase 2 of 3] Improving. 0.054 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.056 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.057 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.058 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.058 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.059 * * [progress]: iteration 1 / 4 0.059 * * * [progress]: picking best candidate 0.060 * * * * [pick]: Picked # 0.060 * * * [progress]: localizing error 0.067 * * * [progress]: generating rewritten candidates 0.067 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.074 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.079 * * * [progress]: generating series expansions 0.079 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.079 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.079 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.079 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.079 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.079 * [taylor]: Taking taylor expansion of N in N 0.079 * [taylor]: Taking taylor expansion of 1.0 in N 0.080 * [taylor]: Taking taylor expansion of (log N) in N 0.080 * [taylor]: Taking taylor expansion of N in N 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 0.099 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.099 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.099 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.099 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.099 * [taylor]: Taking taylor expansion of N in N 0.099 * [taylor]: Taking taylor expansion of 1.0 in N 0.100 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.100 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.100 * [taylor]: Taking taylor expansion of N in N 0.100 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.100 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.100 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.100 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.101 * [taylor]: Taking taylor expansion of N in N 0.101 * [taylor]: Taking taylor expansion of 1.0 in N 0.101 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.101 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.101 * [taylor]: Taking taylor expansion of N in N 0.134 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.134 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.134 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.134 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.134 * [taylor]: Taking taylor expansion of 1.0 in N 0.134 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.134 * [taylor]: Taking taylor expansion of N in N 0.135 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.135 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.135 * [taylor]: Taking taylor expansion of -1 in N 0.135 * [taylor]: Taking taylor expansion of N in N 0.136 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.136 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.136 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.136 * [taylor]: Taking taylor expansion of 1.0 in N 0.136 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.136 * [taylor]: Taking taylor expansion of N in N 0.137 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.137 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.137 * [taylor]: Taking taylor expansion of -1 in N 0.137 * [taylor]: Taking taylor expansion of N in N 0.170 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.170 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.170 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.170 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.170 * [taylor]: Taking taylor expansion of N in N 0.170 * [taylor]: Taking taylor expansion of 1.0 in N 0.171 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.171 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.171 * [taylor]: Taking taylor expansion of N in N 0.171 * [taylor]: Taking taylor expansion of 1.0 in N 0.182 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.183 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.183 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.183 * [taylor]: Taking taylor expansion of N in N 0.183 * [taylor]: Taking taylor expansion of 1.0 in N 0.183 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.184 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.184 * [taylor]: Taking taylor expansion of N in N 0.184 * [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 0.216 * * * [progress]: simplifying candidates 0.217 * [simplify]: Simplifying using # : (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.221 * * [simplify]: iteration 0 : 212 enodes (cost 281 ) 0.225 * * [simplify]: iteration 1 : 547 enodes (cost 264 ) 0.233 * * [simplify]: iteration 2 : 1875 enodes (cost 250 ) 0.270 * * [simplify]: iteration 3 : 5001 enodes (cost 247 ) 0.272 * [simplify]: Simplified to: (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (+ (log N) (log (+ N 1.0)))) (* (log N) (log N))) (log (/ 1 N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (log (/ 1 N)) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) 0.272 * * * [progress]: adding candidates to table 0.358 * * [progress]: iteration 2 / 4 0.358 * * * [progress]: picking best candidate 0.361 * * * * [pick]: Picked # 0.361 * * * [progress]: localizing error 0.372 * * * [progress]: generating rewritten candidates 0.372 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 0.377 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.398 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.414 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 0.427 * * * [progress]: generating series expansions 0.428 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 0.428 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 0.428 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.428 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.428 * [taylor]: Taking taylor expansion of N in N 0.429 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.429 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.429 * [taylor]: Taking taylor expansion of N in N 0.435 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 0.435 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.435 * [taylor]: Taking taylor expansion of N in N 0.435 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.436 * [taylor]: Taking taylor expansion of N in N 0.439 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 0.439 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.439 * [taylor]: Taking taylor expansion of N in N 0.439 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.439 * [taylor]: Taking taylor expansion of N in N 0.443 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.443 * [approximate]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in (N) around 0 0.443 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in N 0.443 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.443 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.443 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.444 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.444 * [taylor]: Taking taylor expansion of N 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 0.445 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in N 0.445 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.445 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.445 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.445 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.445 * [taylor]: Taking taylor expansion of N in N 0.445 * [taylor]: Taking taylor expansion of 0.5 in N 0.445 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.445 * [taylor]: Taking taylor expansion of N in N 0.472 * [approximate]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in (N) around 0 0.473 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 0.473 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.473 * [taylor]: Taking taylor expansion of N in N 0.473 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.473 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.473 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.473 * [taylor]: Taking taylor expansion of N in N 0.473 * [taylor]: Taking taylor expansion of 0.5 in N 0.473 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 0.473 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.473 * [taylor]: Taking taylor expansion of N in N 0.473 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.473 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.473 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.473 * [taylor]: Taking taylor expansion of N in N 0.473 * [taylor]: Taking taylor expansion of 0.5 in N 0.493 * [approximate]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in (N) around 0 0.493 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in N 0.493 * [taylor]: Taking taylor expansion of -1 in N 0.493 * [taylor]: Taking taylor expansion of (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2)) in N 0.493 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.493 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.493 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.493 * [taylor]: Taking taylor expansion of N in N 0.493 * [taylor]: Taking taylor expansion of 0.5 in N 0.493 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.493 * [taylor]: Taking taylor expansion of N in N 0.493 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in N 0.493 * [taylor]: Taking taylor expansion of -1 in N 0.493 * [taylor]: Taking taylor expansion of (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2)) in N 0.493 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.493 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.493 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.493 * [taylor]: Taking taylor expansion of N in N 0.493 * [taylor]: Taking taylor expansion of 0.5 in N 0.493 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.493 * [taylor]: Taking taylor expansion of N in N 0.516 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.517 * [approximate]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 0.517 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 0.517 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 0.517 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 0.517 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.517 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 0.517 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.517 * [taylor]: Taking taylor expansion of N in N 0.518 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.518 * [taylor]: Taking taylor expansion of 1.0 in N 0.518 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.518 * [taylor]: Taking taylor expansion of N in N 0.518 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 0.518 * [taylor]: Taking taylor expansion of 0.5 in N 0.518 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.518 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.518 * [taylor]: Taking taylor expansion of N in N 0.519 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 0.519 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 0.519 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 0.519 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 0.519 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.519 * [taylor]: Taking taylor expansion of N in N 0.519 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.519 * [taylor]: Taking taylor expansion of 1.0 in N 0.519 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.519 * [taylor]: Taking taylor expansion of N in N 0.520 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 0.520 * [taylor]: Taking taylor expansion of 0.5 in N 0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.520 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.520 * [taylor]: Taking taylor expansion of N in N 0.528 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 0.528 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 0.528 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.528 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.528 * [taylor]: Taking taylor expansion of 1.0 in N 0.528 * [taylor]: Taking taylor expansion of N in N 0.528 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.529 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.529 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.529 * [taylor]: Taking taylor expansion of N in N 0.529 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.529 * [taylor]: Taking taylor expansion of 0.5 in N 0.529 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.529 * [taylor]: Taking taylor expansion of N in N 0.529 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 0.529 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.529 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.529 * [taylor]: Taking taylor expansion of 1.0 in N 0.529 * [taylor]: Taking taylor expansion of N in N 0.529 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.529 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.529 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.529 * [taylor]: Taking taylor expansion of N in N 0.529 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.529 * [taylor]: Taking taylor expansion of 0.5 in N 0.529 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.529 * [taylor]: Taking taylor expansion of N in N 0.536 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 0.536 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 0.536 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 0.536 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.536 * [taylor]: Taking taylor expansion of 0.5 in N 0.536 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.536 * [taylor]: Taking taylor expansion of N in N 0.536 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.537 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.537 * [taylor]: Taking taylor expansion of 1.0 in N 0.537 * [taylor]: Taking taylor expansion of N in N 0.537 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.537 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.537 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.537 * [taylor]: Taking taylor expansion of N in N 0.537 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 0.537 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 0.537 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.537 * [taylor]: Taking taylor expansion of 0.5 in N 0.537 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.537 * [taylor]: Taking taylor expansion of N in N 0.537 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.537 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.537 * [taylor]: Taking taylor expansion of 1.0 in N 0.537 * [taylor]: Taking taylor expansion of N in N 0.537 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.537 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.537 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.537 * [taylor]: Taking taylor expansion of N in N 0.551 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 0.551 * [approximate]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in (N) around 0 0.551 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.551 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.551 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.551 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.551 * [taylor]: Taking taylor expansion of N in N 0.552 * [taylor]: Taking taylor expansion of 0.5 in N 0.552 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.552 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.552 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.552 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.552 * [taylor]: Taking taylor expansion of N in N 0.552 * [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) 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) 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 0.573 * [approximate]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in (N) around 0 0.573 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in N 0.574 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.574 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.574 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.574 * [taylor]: Taking taylor expansion of N in N 0.574 * [taylor]: Taking taylor expansion of 0.5 in N 0.574 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in N 0.574 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.574 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.574 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.574 * [taylor]: Taking taylor expansion of N in N 0.574 * [taylor]: Taking taylor expansion of 0.5 in N 0.583 * * * [progress]: simplifying candidates 0.586 * [simplify]: Simplifying using # : (- 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) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (+ (- (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- 0 (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- 0 (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- 0 (log (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log 1) (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log 1) (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log 1) (log (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (log (/ 1 (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (exp (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (/ (* (* 1 1) 1) (* (* (pow N 2) (pow N 2)) (pow N 2))) (* (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)) (- (/ 0.3333333333333333 N) 0.5))) (* (* (* (/ 1 (pow N 2)) (/ 1 (pow N 2))) (/ 1 (pow N 2))) (* (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)) (- (/ 0.3333333333333333 N) 0.5))) (* (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)))) (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (* (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (sqrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (sqrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* 1 (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) (* (pow N 2) (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5)))) (* 1 (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) (* (pow N 2) (+ (/ 0.3333333333333333 N) 0.5)) (* (sqrt (/ 1 (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (sqrt (/ 1 (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (pow (sqrt N) 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (pow (sqrt N) 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) N) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) N) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (sqrt (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (sqrt (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (pow N (/ 2 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (pow N (/ 2 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow (sqrt N) 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow (sqrt N) 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 N) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 N) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (sqrt (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (sqrt (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N (/ 2 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N (/ 2 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N 2)) (/ 0.3333333333333333 N)) (* (/ 1 (pow N 2)) (- 0.5)) (* (/ 1 (pow N 2)) (/ 0.3333333333333333 N)) (* (/ 1 (pow N 2)) (- 0.5)) (* (/ 0.3333333333333333 N) (/ 1 (pow N 2))) (* (- 0.5) (/ 1 (pow N 2))) (* (/ 0.3333333333333333 N) (/ 1 (pow N 2))) (* (- 0.5) (/ 1 (pow N 2))) (* (/ 1 (pow N 2)) (* (cbrt (- (/ 0.3333333333333333 N) 0.5)) (cbrt (- (/ 0.3333333333333333 N) 0.5)))) (* (/ 1 (pow N 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N 2)) 1) (* (/ 1 (pow N 2)) (+ (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5))) (* (/ 1 (pow N 2)) (+ (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5))) (* (/ 1 (pow N 2)) 1) (* (cbrt (/ 1 (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (sqrt (/ 1 (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow (cbrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow (sqrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (cbrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (sqrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow N (/ 2 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow (cbrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow (sqrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (cbrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (sqrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow N (/ 2 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow (cbrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow (sqrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (cbrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (sqrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N (/ 2 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) (* (/ 1 (pow N 2)) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) (* 1 (- (/ 0.3333333333333333 N) 0.5)) (* (exp (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (exp (/ 1.0 N))) (log (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (exp (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (* (cbrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (cbrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)))) (cbrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (* (* (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (sqrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (sqrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (+ (* (* 1 (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N) (* (* (pow N 2) (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5)))) 1.0)) (* (* (pow N 2) (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5)))) N) (+ (* (* 1 (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) N) (* (* (pow N 2) (+ (/ 0.3333333333333333 N) 0.5)) 1.0)) (* (* (pow N 2) (+ (/ 0.3333333333333333 N) 0.5)) N) (+ (* (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N) (* (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5))) 1.0)) (* (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5))) N) (+ (* (* (/ 1 (pow N 2)) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) N) (* (+ (/ 0.3333333333333333 N) 0.5) 1.0)) (* (+ (/ 0.3333333333333333 N) 0.5) N) (+ (* (* 1 (- (/ 0.3333333333333333 N) 0.5)) N) (* (pow N 2) 1.0)) (* (pow N 2) N) (+ (pow (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) 3) (pow (/ 1.0 N) 3)) (+ (* (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (- (* (/ 1.0 N) (/ 1.0 N)) (* (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)))) (- (* (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1.0 N) (/ 1.0 N))) (- (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- 0.5)) (/ 1.0 N)) (+ (* (- 0.5) (/ 1 (pow N 2))) (/ 1.0 N)) (+ (* (- 0.5) (/ 1 (pow N 2))) (/ 1.0 N)) (/ (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)) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 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) 0.595 * * [simplify]: iteration 0 : 597 enodes (cost 1169 ) 0.607 * * [simplify]: iteration 1 : 2754 enodes (cost 978 ) 0.656 * * [simplify]: iteration 2 : 5001 enodes (cost 915 ) 0.662 * [simplify]: Simplified to: (- 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))) (pow (/ 1 (pow N 2)) 3) (* (cbrt (/ 1 (pow N 2))) (cbrt (/ 1 (pow N 2)))) (cbrt (/ 1 (pow N 2))) (pow (/ 1 (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) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (exp (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (pow (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) 3) (pow (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) 3) (* (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)))) (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (pow (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) 3) (sqrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (sqrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3)) (* (+ (* 0.5 (+ 0.5 (/ 0.3333333333333333 N))) (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N))) (pow N 2)) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5)) (* (pow N 2) (+ (/ 0.3333333333333333 N) 0.5)) (* (sqrt (/ 1 (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (sqrt (/ 1 (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (* (sqrt (- (/ 0.3333333333333333 N) 0.5)) 1) (fabs N)) (/ (* (sqrt (- (/ 0.3333333333333333 N) 0.5)) 1) (fabs N)) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (* (sqrt (- (/ 0.3333333333333333 N) 0.5)) 1) (fabs N)) (/ (* (sqrt (- (/ 0.3333333333333333 N) 0.5)) 1) (fabs N)) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ 0.3333333333333333 (pow N 3)) (/ (- 0.5) (pow N 2)) (/ 0.3333333333333333 (pow N 3)) (/ (- 0.5) (pow N 2)) (/ 0.3333333333333333 (pow N 3)) (/ (- 0.5) (pow N 2)) (/ 0.3333333333333333 (pow N 3)) (/ (- 0.5) (pow N 2)) (/ (/ (* (cbrt (- (/ 0.3333333333333333 N) 0.5)) (cbrt (- (/ 0.3333333333333333 N) 0.5))) N) N) (* (/ 1 (pow N 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (/ 1 (pow N 2)) (/ (/ (+ (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) N) N) (/ (/ (+ (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5)) N) N) (/ 1 (pow N 2)) (* (cbrt (/ 1 (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (sqrt (/ 1 (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (/ (- (/ 0.3333333333333333 N) 0.5) (pow (cbrt N) 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (cbrt (pow N 2))) (/ (- (/ 0.3333333333333333 N) 0.5) (sqrt (pow N 2))) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow (cbrt N) 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (cbrt (pow N 2))) (/ (- (/ 0.3333333333333333 N) 0.5) (sqrt (pow N 2))) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow (cbrt N) 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (cbrt (pow N 2))) (/ (- (/ 0.3333333333333333 N) 0.5) (sqrt (pow N 2))) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3)) (pow N 2)) (/ (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5)) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (exp (+ (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ 1.0 N))) (log (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (exp (+ (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ 1.0 N))) (* (cbrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (cbrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)))) (cbrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (pow (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2))) 3) (sqrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (sqrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (+ (* (* 1 (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N) (* (* (pow N 2) (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5)))) 1.0)) (* (pow N 3) (+ (* 0.5 (+ 0.5 (/ 0.3333333333333333 N))) (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)))) (+ (* (* 1 (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) N) (* (* (pow N 2) (+ (/ 0.3333333333333333 N) 0.5)) 1.0)) (* (pow N 3) (+ (/ 0.3333333333333333 N) 0.5)) (+ (* (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N) (* (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5))) 1.0)) (* N (+ (* 0.5 (+ 0.5 (/ 0.3333333333333333 N))) (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)))) (+ (* (* (/ 1 (pow N 2)) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) N) (* (+ (/ 0.3333333333333333 N) 0.5) 1.0)) (* (+ (/ 0.3333333333333333 N) 0.5) N) (+ (* (* 1 (- (/ 0.3333333333333333 N) 0.5)) N) (* (pow N 2) 1.0)) (pow N 3) (+ (pow (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) 3) (pow (/ 1.0 N) 3)) (- (* (/ 1.0 N) (/ 1.0 N)) (- (* (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2))) (* (/ 1 (pow N 4)) (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5))))) (+ (- (* (/ 1.0 N) (/ 1.0 N))) (* (/ 1 (pow N 4)) (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)))) (- (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (- (/ 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)) (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)) (+ (* 0.5 (+ 0.5 (/ 0.3333333333333333 N))) (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N))) (- 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)) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2))) (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2))) (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2))) (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5) 0.663 * * * [progress]: adding candidates to table 0.905 * * [progress]: iteration 3 / 4 0.905 * * * [progress]: picking best candidate 0.908 * * * * [pick]: Picked # 0.908 * * * [progress]: localizing error 0.913 * * * [progress]: generating rewritten candidates 0.913 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.919 * * * [progress]: generating series expansions 0.919 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.919 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.919 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.919 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.919 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.919 * [taylor]: Taking taylor expansion of N in N 0.919 * [taylor]: Taking taylor expansion of 1.0 in N 0.919 * [taylor]: Taking taylor expansion of N in N 0.920 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.920 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.920 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.920 * [taylor]: Taking taylor expansion of N in N 0.920 * [taylor]: Taking taylor expansion of 1.0 in N 0.920 * [taylor]: Taking taylor expansion of N in N 0.933 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.933 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.933 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.933 * [taylor]: Taking taylor expansion of N 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 0.935 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.935 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.935 * [taylor]: Taking taylor expansion of N in N 0.935 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.935 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.935 * [taylor]: Taking taylor expansion of N in N 0.936 * [taylor]: Taking taylor expansion of 1.0 in N 0.961 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.961 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.961 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.961 * [taylor]: Taking taylor expansion of -1 in N 0.961 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.961 * [taylor]: Taking taylor expansion of N in N 0.961 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.961 * [taylor]: Taking taylor expansion of 1.0 in N 0.961 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.961 * [taylor]: Taking taylor expansion of N in N 0.964 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.964 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.964 * [taylor]: Taking taylor expansion of -1 in N 0.964 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.964 * [taylor]: Taking taylor expansion of N in N 0.964 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.964 * [taylor]: Taking taylor expansion of 1.0 in N 0.964 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.964 * [taylor]: Taking taylor expansion of N in N 1.001 * * * [progress]: simplifying candidates 1.002 * [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))) (- (+ (* 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)))) 1.005 * * [simplify]: iteration 0 : 167 enodes (cost 209 ) 1.008 * * [simplify]: iteration 1 : 455 enodes (cost 196 ) 1.016 * * [simplify]: iteration 2 : 1964 enodes (cost 184 ) 1.057 * * [simplify]: iteration 3 : 5002 enodes (cost 184 ) 1.059 * [simplify]: Simplified to: (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) 1.059 * * * [progress]: adding candidates to table 1.101 * * [progress]: iteration 4 / 4 1.101 * * * [progress]: picking best candidate 1.107 * * * * [pick]: Picked # 1.107 * * * [progress]: localizing error 1.117 * * * [progress]: generating rewritten candidates 1.117 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.130 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.134 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 1.146 * * * [progress]: generating series expansions 1.146 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.146 * [approximate]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in (N) around 0 1.146 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in N 1.146 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 1.146 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.146 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.146 * [taylor]: Taking taylor expansion of N in N 1.146 * [taylor]: Taking taylor expansion of 1.0 in N 1.149 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 1.149 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 1.149 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.149 * [taylor]: Taking taylor expansion of N in N 1.149 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.149 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.149 * [taylor]: Taking taylor expansion of N in N 1.149 * [taylor]: Taking taylor expansion of 1.0 in N 1.152 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in N 1.152 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 1.152 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.152 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.152 * [taylor]: Taking taylor expansion of N in N 1.152 * [taylor]: Taking taylor expansion of 1.0 in N 1.154 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 1.154 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 1.154 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.154 * [taylor]: Taking taylor expansion of N in N 1.154 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.155 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.155 * [taylor]: Taking taylor expansion of N in N 1.155 * [taylor]: Taking taylor expansion of 1.0 in N 1.233 * [approximate]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in (N) around 0 1.233 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in N 1.233 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 1.233 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.233 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.233 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.233 * [taylor]: Taking taylor expansion of N in N 1.233 * [taylor]: Taking taylor expansion of 1.0 in N 1.235 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 1.235 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 1.235 * [taylor]: Taking taylor expansion of N in N 1.235 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.235 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.235 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.235 * [taylor]: Taking taylor expansion of N in N 1.235 * [taylor]: Taking taylor expansion of 1.0 in N 1.241 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in N 1.241 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 1.241 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.241 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.241 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.241 * [taylor]: Taking taylor expansion of N in N 1.242 * [taylor]: Taking taylor expansion of 1.0 in N 1.243 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 1.243 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 1.243 * [taylor]: Taking taylor expansion of N in N 1.243 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.243 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.243 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.243 * [taylor]: Taking taylor expansion of N in N 1.244 * [taylor]: Taking taylor expansion of 1.0 in N 1.301 * [approximate]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in (N) around 0 1.301 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in N 1.301 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 1.301 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.301 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.301 * [taylor]: Taking taylor expansion of 1.0 in N 1.301 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.301 * [taylor]: Taking taylor expansion of N in N 1.303 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 1.303 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 1.303 * [taylor]: Taking taylor expansion of -1 in N 1.303 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 1.303 * [taylor]: Taking taylor expansion of N in N 1.303 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.303 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.303 * [taylor]: Taking taylor expansion of 1.0 in N 1.303 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.303 * [taylor]: Taking taylor expansion of N in N 1.312 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in N 1.312 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 1.312 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.312 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.312 * [taylor]: Taking taylor expansion of 1.0 in N 1.312 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.312 * [taylor]: Taking taylor expansion of N in N 1.314 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 1.314 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 1.314 * [taylor]: Taking taylor expansion of -1 in N 1.314 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 1.314 * [taylor]: Taking taylor expansion of N in N 1.314 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.314 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.314 * [taylor]: Taking taylor expansion of 1.0 in N 1.315 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.315 * [taylor]: Taking taylor expansion of N in N 1.377 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.377 * [approximate]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in (N) around 0 1.377 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 1.377 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.377 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.377 * [taylor]: Taking taylor expansion of N in N 1.377 * [taylor]: Taking taylor expansion of 1.0 in N 1.379 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 1.380 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.380 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.380 * [taylor]: Taking taylor expansion of N in N 1.380 * [taylor]: Taking taylor expansion of 1.0 in N 1.409 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in (N) around 0 1.409 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 1.409 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.409 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.409 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.409 * [taylor]: Taking taylor expansion of N in N 1.409 * [taylor]: Taking taylor expansion of 1.0 in N 1.411 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 1.411 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.411 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.411 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.411 * [taylor]: Taking taylor expansion of N in N 1.411 * [taylor]: Taking taylor expansion of 1.0 in N 1.436 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in (N) around 0 1.436 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 1.436 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.436 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.436 * [taylor]: Taking taylor expansion of 1.0 in N 1.436 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.436 * [taylor]: Taking taylor expansion of N in N 1.438 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 1.438 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.438 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.438 * [taylor]: Taking taylor expansion of 1.0 in N 1.438 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.438 * [taylor]: Taking taylor expansion of N in N 1.457 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 1.457 * [approximate]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in (N) around 0 1.457 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 1.457 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.457 * [taylor]: Taking taylor expansion of N in N 1.458 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.458 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.458 * [taylor]: Taking taylor expansion of N in N 1.458 * [taylor]: Taking taylor expansion of 1.0 in N 1.459 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 1.459 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.459 * [taylor]: Taking taylor expansion of N in N 1.460 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.460 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.460 * [taylor]: Taking taylor expansion of N in N 1.460 * [taylor]: Taking taylor expansion of 1.0 in N 1.477 * [approximate]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in (N) around 0 1.477 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 1.477 * [taylor]: Taking taylor expansion of N in N 1.477 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.477 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.477 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.477 * [taylor]: Taking taylor expansion of N in N 1.477 * [taylor]: Taking taylor expansion of 1.0 in N 1.478 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 1.478 * [taylor]: Taking taylor expansion of N in N 1.478 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.478 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.479 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.479 * [taylor]: Taking taylor expansion of N in N 1.479 * [taylor]: Taking taylor expansion of 1.0 in N 1.496 * [approximate]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in (N) around 0 1.496 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 1.497 * [taylor]: Taking taylor expansion of -1 in N 1.497 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 1.497 * [taylor]: Taking taylor expansion of N in N 1.497 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.497 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.497 * [taylor]: Taking taylor expansion of 1.0 in N 1.497 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.497 * [taylor]: Taking taylor expansion of N in N 1.498 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 1.498 * [taylor]: Taking taylor expansion of -1 in N 1.498 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 1.498 * [taylor]: Taking taylor expansion of N in N 1.498 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.498 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.498 * [taylor]: Taking taylor expansion of 1.0 in N 1.498 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.498 * [taylor]: Taking taylor expansion of N in N 1.528 * * * [progress]: simplifying candidates 1.530 * [simplify]: Simplifying using # : (* (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N)) (log (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (exp (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (* (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))))) (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (* (* (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (sqrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (sqrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (- (* (log (/ (sqrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) N))) (* (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))))) (- (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (* (log (/ (sqrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) N)))) (- (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (* (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) N))))) (+ (log (sqrt (+ N 1.0))) (log (sqrt (/ (sqrt (+ N 1.0)) N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ 1 (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ 1 (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ 1 1))) (+ (log (sqrt (+ N 1.0))) (log 1)) (+ (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (+ (log (cbrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (cbrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (- (log (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (/ (sqrt (+ N 1.0)) N))) (- (log (sqrt (- N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (log (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))))) (log (cbrt (sqrt (+ N 1.0)))) (log (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (sqrt (cbrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt 1)) (log (sqrt (+ N 1.0))) (log (sqrt 1)) (log (sqrt (+ N 1.0))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log 1) (log (sqrt (+ N 1.0))) (log (sqrt (+ (pow N 3) (pow 1.0 3)))) (log (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (sqrt (- (* N N) (* 1.0 1.0)))) (log (sqrt (- N 1.0))) (log (+ N 1.0)) (log (sqrt (+ N 1.0))) (log (+ N 1.0)) (log (log (sqrt (+ N 1.0)))) (exp (log (sqrt (+ N 1.0)))) (* (cbrt (log (sqrt (+ N 1.0)))) (cbrt (log (sqrt (+ N 1.0))))) (cbrt (log (sqrt (+ N 1.0)))) (* (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) (sqrt (log (sqrt (+ N 1.0)))) (sqrt (log (sqrt (+ N 1.0)))) (- (log (sqrt (+ N 1.0))) (log N)) (log (/ (sqrt (+ N 1.0)) N)) (exp (/ (sqrt (+ N 1.0)) N)) (/ (* (* (sqrt (+ N 1.0)) (sqrt (+ N 1.0))) (sqrt (+ N 1.0))) (* (* N N) N)) (* (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) N))) (cbrt (/ (sqrt (+ N 1.0)) N)) (* (* (/ (sqrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) N)) (/ (sqrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) N)) (- (sqrt (+ N 1.0))) (- N) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt N) (cbrt N))) (/ (cbrt (sqrt (+ N 1.0))) (cbrt N)) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt N)) (/ (cbrt (sqrt (+ N 1.0))) (sqrt N)) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) 1) (/ (cbrt (sqrt (+ N 1.0))) N) (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt N) (cbrt N))) (/ (sqrt (cbrt (+ N 1.0))) (cbrt N)) (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt N)) (/ (sqrt (cbrt (+ N 1.0))) (sqrt N)) (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) 1) (/ (sqrt (cbrt (+ N 1.0))) N) (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (sqrt (sqrt (+ N 1.0))) (cbrt N)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (/ (sqrt (sqrt (+ N 1.0))) 1) (/ (sqrt (sqrt (+ N 1.0))) N) (/ (sqrt 1) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt 1) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt 1) 1) (/ (sqrt (+ N 1.0)) N) (/ (sqrt 1) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt 1) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt 1) 1) (/ (sqrt (+ N 1.0)) N) (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (sqrt (sqrt (+ N 1.0))) (cbrt N)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (/ (sqrt (sqrt (+ N 1.0))) 1) (/ (sqrt (sqrt (+ N 1.0))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ 1 1) (/ (sqrt (+ N 1.0)) N) (/ 1 N) (/ N (sqrt (+ N 1.0))) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ N (cbrt (sqrt (+ N 1.0)))) (/ N (sqrt (cbrt (+ N 1.0)))) (/ N (sqrt (sqrt (+ N 1.0)))) (/ N (sqrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (sqrt (sqrt (+ N 1.0)))) (/ N (sqrt (+ N 1.0))) (* N (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (* N (sqrt (- N 1.0))) (- (+ (* 2 (log (sqrt 1.0))) (/ N (pow (sqrt 1.0) 2))) (+ (* 1/2 (/ (pow N 2) (pow (sqrt 1.0) 4))) (log N))) (- (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 N)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ -1 N)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (log (sqrt 1.0)) (* 1/2 (/ N (pow (sqrt 1.0) 2)))) (* 1/4 (/ (pow N 2) (pow (sqrt 1.0) 4)))) (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) (- (+ (* 1/2 (/ 1 (sqrt 1.0))) (/ (sqrt 1.0) N)) (* 1/8 (/ N (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))))) 1.537 * * [simplify]: iteration 0 : 458 enodes (cost 1029 ) 1.544 * * [simplify]: iteration 1 : 1402 enodes (cost 938 ) 1.568 * * [simplify]: iteration 2 : 5001 enodes (cost 850 ) 1.573 * [simplify]: Simplified to: (/ (+ N 1.0) N) (log (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (/ (+ N 1.0) N) (* (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))))) (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (pow (- (* 2 (log (sqrt (+ N 1.0)))) (log N)) 3) (sqrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (sqrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (* (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 N))) (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))))) (* (log N) (- (* 2 (log (sqrt (+ N 1.0)))) (log N))) (log N) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (* 2 (log (cbrt (/ (sqrt (+ N 1.0)) N)))) (log (sqrt (+ N 1.0)))) (+ (log (sqrt (+ N 1.0))) (log (sqrt (/ (sqrt (+ N 1.0)) N)))) (+ (log (sqrt (+ N 1.0))) (* 2 (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt N))))) (- (+ (log (sqrt (+ N 1.0))) (* 2 (log (cbrt (sqrt (+ N 1.0)))))) (log (sqrt N))) (+ (log (sqrt (+ N 1.0))) (* 2 (log (cbrt (sqrt (+ N 1.0)))))) (- (+ (log (sqrt (+ N 1.0))) (log (/ (fabs (cbrt (+ N 1.0))) (cbrt N)))) (log (cbrt N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt N)))) (+ (log (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (sqrt (+ N 1.0)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) (- (log (sqrt (+ N 1.0))) (* 2 (log (cbrt N)))) (- (log (sqrt (+ N 1.0))) (log (sqrt N))) (log (sqrt (+ N 1.0))) (- (log (sqrt (+ N 1.0))) (* 2 (log (cbrt N)))) (- (log (sqrt (+ N 1.0))) (log (sqrt N))) (log (sqrt (+ N 1.0))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)))) (+ (log (sqrt (sqrt (+ N 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(* 1/8 (/ N (pow (sqrt 1.0) 3))))) (- (+ (/ (- +nan.0) (pow N 3)) (/ (/ +nan.0 N) N)) (/ +nan.0 N)) (- (+ (/ (- +nan.0) (pow N 3)) (/ (/ +nan.0 N) N)) (/ +nan.0 N)) 1.574 * * * [progress]: adding candidates to table 1.793 * [progress]: [Phase 3 of 3] Extracting. 1.793 * * [regime]: Finding splitpoints for: (# # # # #) 1.794 * * * [regime-changes]: Trying 1 branch expressions: (N) 1.794 * * * * [regimes]: Trying to branch on N from (# # # # #) 1.820 * * * [regime]: Found split indices: #