5.299 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.050 * * * [progress]: [2/2] Setting up program. 0.053 * [progress]: [Phase 2 of 3] Improving. 0.053 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.055 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.056 * * [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)) 0.058 * * [progress]: iteration 1 / 4 0.058 * * * [progress]: picking best candidate 0.060 * * * * [pick]: Picked # 0.060 * * * [progress]: localizing error 0.066 * * * [progress]: generating rewritten candidates 0.067 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.070 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.078 * * * [progress]: generating series expansions 0.078 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.078 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.078 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.078 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.078 * [taylor]: Taking taylor expansion of N in N 0.078 * [taylor]: Taking taylor expansion of 1.0 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 0.090 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.091 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.091 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.091 * [taylor]: Taking taylor expansion of N in N 0.091 * [taylor]: Taking taylor expansion of 1.0 in N 0.091 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.091 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.091 * [taylor]: Taking taylor expansion of N in N 0.092 * [taylor]: Taking taylor expansion of 1.0 in N 0.104 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.104 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.104 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.104 * [taylor]: Taking taylor expansion of 1.0 in N 0.104 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.104 * [taylor]: Taking taylor expansion of N in N 0.105 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.105 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.105 * [taylor]: Taking taylor expansion of 1.0 in N 0.105 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.105 * [taylor]: Taking taylor expansion of N in N 0.124 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.124 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.124 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.124 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.125 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.125 * [taylor]: Taking taylor expansion of N in N 0.125 * [taylor]: Taking taylor expansion of 1.0 in N 0.125 * [taylor]: Taking taylor expansion of (log N) in N 0.125 * [taylor]: Taking taylor expansion of N in N 0.125 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.125 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.125 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.125 * [taylor]: Taking taylor expansion of N in N 0.125 * [taylor]: Taking taylor expansion of 1.0 in N 0.126 * [taylor]: Taking taylor expansion of (log N) in N 0.126 * [taylor]: Taking taylor expansion of N in N 0.145 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.145 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.145 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.145 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.145 * [taylor]: Taking taylor expansion of N in N 0.145 * [taylor]: Taking taylor expansion of 1.0 in N 0.145 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.145 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.146 * [taylor]: Taking taylor expansion of N in N 0.146 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.146 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.146 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.146 * [taylor]: Taking taylor expansion of N in N 0.146 * [taylor]: Taking taylor expansion of 1.0 in N 0.147 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.147 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.147 * [taylor]: Taking taylor expansion of N in N 0.177 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.177 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.177 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.177 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.177 * [taylor]: Taking taylor expansion of 1.0 in N 0.177 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.177 * [taylor]: Taking taylor expansion of N in N 0.178 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.178 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.178 * [taylor]: Taking taylor expansion of -1 in N 0.178 * [taylor]: Taking taylor expansion of N in N 0.179 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.179 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.179 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.179 * [taylor]: Taking taylor expansion of 1.0 in N 0.179 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.179 * [taylor]: Taking taylor expansion of N in N 0.180 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.180 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.180 * [taylor]: Taking taylor expansion of -1 in N 0.180 * [taylor]: Taking taylor expansion of N in N 0.220 * * * [progress]: simplifying candidates 0.221 * [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)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.225 * * [simplify]: iteration 0 : 212 enodes (cost 281 ) 0.229 * * [simplify]: iteration 1 : 547 enodes (cost 264 ) 0.237 * * [simplify]: iteration 2 : 1874 enodes (cost 250 ) 0.272 * * [simplify]: iteration 3 : 5001 enodes (cost 247 ) 0.274 * [simplify]: Simplified to: (* 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))) (/ (+ 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)) (- (+ (* 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))) (- (+ (* 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)) 0.274 * * * [progress]: adding candidates to table 0.363 * * [progress]: iteration 2 / 4 0.363 * * * [progress]: picking best candidate 0.368 * * * * [pick]: Picked # 0.368 * * * [progress]: localizing error 0.378 * * * [progress]: generating rewritten candidates 0.378 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 0.383 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.403 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2) 0.416 * * * [progress]: generating series expansions 0.416 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 0.416 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.416 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.416 * [taylor]: Taking taylor expansion of N in N 0.417 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.417 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.417 * [taylor]: Taking taylor expansion of N in N 0.424 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 0.424 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.424 * [taylor]: Taking taylor expansion of N in N 0.424 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.424 * [taylor]: Taking taylor expansion of N in N 0.428 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 0.428 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.428 * [taylor]: Taking taylor expansion of N in N 0.428 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.428 * [taylor]: Taking taylor expansion of N in N 0.432 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.432 * [approximate]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in (N) around 0 0.432 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in N 0.432 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.432 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.432 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.432 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.432 * [taylor]: Taking taylor expansion of N in N 0.432 * [taylor]: Taking taylor expansion of 0.5 in N 0.433 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.433 * [taylor]: Taking taylor expansion of N in N 0.434 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in N 0.434 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.434 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.434 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.434 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.434 * [taylor]: Taking taylor expansion of N in N 0.434 * [taylor]: Taking taylor expansion of 0.5 in N 0.434 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.434 * [taylor]: Taking taylor expansion of N in N 0.458 * [approximate]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in (N) around 0 0.458 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 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 (- (* 0.3333333333333333 N) 0.5) in N 0.458 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.458 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.458 * [taylor]: Taking taylor expansion of N in N 0.458 * [taylor]: Taking taylor expansion of 0.5 in N 0.458 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 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 (- (* 0.3333333333333333 N) 0.5) in N 0.458 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.458 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.458 * [taylor]: Taking taylor expansion of N in N 0.458 * [taylor]: Taking taylor expansion of 0.5 in N 0.485 * [approximate]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in (N) around 0 0.485 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in N 0.485 * [taylor]: Taking taylor expansion of -1 in N 0.485 * [taylor]: Taking taylor expansion of (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2)) in N 0.485 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.485 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.485 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.485 * [taylor]: Taking taylor expansion of N in N 0.485 * [taylor]: Taking taylor expansion of 0.5 in N 0.485 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.485 * [taylor]: Taking taylor expansion of N in N 0.486 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in N 0.486 * [taylor]: Taking taylor expansion of -1 in N 0.486 * [taylor]: Taking taylor expansion of (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2)) in N 0.486 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.486 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.486 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.486 * [taylor]: Taking taylor expansion of N in N 0.486 * [taylor]: Taking taylor expansion of 0.5 in N 0.486 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.486 * [taylor]: Taking taylor expansion of N in N 0.510 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2) 0.510 * [approximate]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in (N) around 0 0.511 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.511 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.511 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.511 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.511 * [taylor]: Taking taylor expansion of N in N 0.511 * [taylor]: Taking taylor expansion of 0.5 in N 0.511 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.511 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.511 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.511 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.511 * [taylor]: Taking taylor expansion of N in N 0.511 * [taylor]: Taking taylor expansion of 0.5 in N 0.524 * [approximate]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in (N) around 0 0.524 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.524 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.524 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.524 * [taylor]: Taking taylor expansion of N in N 0.524 * [taylor]: Taking taylor expansion of 0.5 in N 0.524 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.524 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.524 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.524 * [taylor]: Taking taylor expansion of N in N 0.524 * [taylor]: Taking taylor expansion of 0.5 in N 0.534 * [approximate]: Taking taylor expansion of (neg (+ (* 0.3333333333333333 N) 0.5)) in (N) around 0 0.534 * [taylor]: Taking taylor expansion of (neg (+ (* 0.3333333333333333 N) 0.5)) in N 0.534 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.534 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.534 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.534 * [taylor]: Taking taylor expansion of N in N 0.534 * [taylor]: Taking taylor expansion of 0.5 in N 0.534 * [taylor]: Taking taylor expansion of (neg (+ (* 0.3333333333333333 N) 0.5)) in N 0.534 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.534 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.534 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.534 * [taylor]: Taking taylor expansion of N in N 0.534 * [taylor]: Taking taylor expansion of 0.5 in N 0.544 * * * [progress]: simplifying candidates 0.547 * [simplify]: Simplifying using # : (neg 2) (neg (* (log N) 2)) (neg (* (log N) 2)) (neg (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))) (neg 1) (neg (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)) (+ (neg (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (neg (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (neg (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)) (neg 0.5)) (* (/ 1 (pow N 2)) (/ 0.3333333333333333 N)) (* (/ 1 (pow N 2)) (neg 0.5)) (* (/ 0.3333333333333333 N) (/ 1 (pow N 2))) (* (neg 0.5) (/ 1 (pow N 2))) (* (/ 0.3333333333333333 N) (/ 1 (pow N 2))) (* (neg 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 (/ 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))) (neg 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) (neg 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)))) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (- (* 0.3333333333333333 (/ 1 N)) 0.5) 0.559 * * [simplify]: iteration 0 : 459 enodes (cost 878 ) 0.568 * * [simplify]: iteration 1 : 2149 enodes (cost 718 ) 0.603 * * [simplify]: iteration 2 : 5001 enodes (cost 657 ) 0.609 * [simplify]: Simplified to: -2 (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log 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 (neg (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)) (/ (neg 0.5) (pow N 2)) (/ 0.3333333333333333 (pow N 3)) (/ (neg 0.5) (pow N 2)) (/ 0.3333333333333333 (pow N 3)) (/ (neg 0.5) (pow N 2)) (/ 0.3333333333333333 (pow N 3)) (/ (neg 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)) (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))) (neg 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) (neg 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)) (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5) 0.609 * * * [progress]: adding candidates to table 0.798 * * [progress]: iteration 3 / 4 0.798 * * * [progress]: picking best candidate 0.801 * * * * [pick]: Picked # 0.801 * * * [progress]: localizing error 0.805 * * * [progress]: generating rewritten candidates 0.805 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.813 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.821 * * * [progress]: generating series expansions 0.821 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.821 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.821 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.821 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.821 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.821 * [taylor]: Taking taylor expansion of N in N 0.821 * [taylor]: Taking taylor expansion of 1.0 in N 0.821 * [taylor]: Taking taylor expansion of N in N 0.822 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.822 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.822 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.822 * [taylor]: Taking taylor expansion of N in N 0.822 * [taylor]: Taking taylor expansion of 1.0 in N 0.822 * [taylor]: Taking taylor expansion of N in N 0.836 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.836 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.836 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.836 * [taylor]: Taking taylor expansion of N in N 0.836 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.836 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.836 * [taylor]: Taking taylor expansion of N in N 0.836 * [taylor]: Taking taylor expansion of 1.0 in N 0.838 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.838 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.838 * [taylor]: Taking taylor expansion of N in N 0.838 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.838 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.838 * [taylor]: Taking taylor expansion of N in N 0.838 * [taylor]: Taking taylor expansion of 1.0 in N 0.864 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.864 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.864 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.864 * [taylor]: Taking taylor expansion of -1 in N 0.864 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.864 * [taylor]: Taking taylor expansion of N in N 0.864 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.864 * [taylor]: Taking taylor expansion of 1.0 in N 0.864 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.864 * [taylor]: Taking taylor expansion of N in N 0.868 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.868 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.868 * [taylor]: Taking taylor expansion of -1 in N 0.868 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.868 * [taylor]: Taking taylor expansion of N in N 0.868 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.868 * [taylor]: Taking taylor expansion of 1.0 in N 0.868 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.868 * [taylor]: Taking taylor expansion of N in N 0.907 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.907 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.907 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.907 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.907 * [taylor]: Taking taylor expansion of N in N 0.907 * [taylor]: Taking taylor expansion of 1.0 in N 0.907 * [taylor]: Taking taylor expansion of N in N 0.908 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.908 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.908 * [taylor]: Taking taylor expansion of N in N 0.908 * [taylor]: Taking taylor expansion of 1.0 in N 0.908 * [taylor]: Taking taylor expansion of N in N 0.915 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.915 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.915 * [taylor]: Taking taylor expansion of N in N 0.915 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.915 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.915 * [taylor]: Taking taylor expansion of N in N 0.915 * [taylor]: Taking taylor expansion of 1.0 in N 0.915 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.915 * [taylor]: Taking taylor expansion of N in N 0.915 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.915 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.915 * [taylor]: Taking taylor expansion of N in N 0.916 * [taylor]: Taking taylor expansion of 1.0 in N 0.929 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.929 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.929 * [taylor]: Taking taylor expansion of -1 in N 0.929 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.929 * [taylor]: Taking taylor expansion of N in N 0.929 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.929 * [taylor]: Taking taylor expansion of 1.0 in N 0.929 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.929 * [taylor]: Taking taylor expansion of N in N 0.929 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.929 * [taylor]: Taking taylor expansion of -1 in N 0.930 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.930 * [taylor]: Taking taylor expansion of N in N 0.930 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.930 * [taylor]: Taking taylor expansion of 1.0 in N 0.930 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.930 * [taylor]: Taking taylor expansion of N in N 0.953 * * * [progress]: simplifying candidates 0.954 * [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))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.958 * * [simplify]: iteration 0 : 233 enodes (cost 373 ) 0.962 * * [simplify]: iteration 1 : 773 enodes (cost 351 ) 0.976 * * [simplify]: iteration 2 : 3489 enodes (cost 339 ) 1.052 * * [simplify]: iteration 3 : 5002 enodes (cost 339 ) 1.055 * [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))) (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (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 (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (+ N 1.0) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* (+ (* 1.0 (- 1.0 N)) (pow N 2)) N) (* N (- 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 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 1.055 * * * [progress]: adding candidates to table 1.146 * * [progress]: iteration 4 / 4 1.146 * * * [progress]: picking best candidate 1.147 * * * * [pick]: Picked # 1.147 * * * [progress]: localizing error 1.153 * * * [progress]: generating rewritten candidates 1.154 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.159 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.165 * * * [progress]: generating series expansions 1.165 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.165 * [approximate]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 N)) 1)) in (N) around 0 1.165 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 N)) 1)) in N 1.165 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) 1) in N 1.165 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 1.165 * [taylor]: Taking taylor expansion of 1.0 in N 1.165 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.165 * [taylor]: Taking taylor expansion of N in N 1.166 * [taylor]: Taking taylor expansion of 1 in N 1.167 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 N)) 1)) in N 1.167 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) 1) in N 1.167 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 1.167 * [taylor]: Taking taylor expansion of 1.0 in N 1.167 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.167 * [taylor]: Taking taylor expansion of N in N 1.167 * [taylor]: Taking taylor expansion of 1 in N 1.181 * [approximate]: Taking taylor expansion of (log (+ (* 1.0 N) 1)) in (N) around 0 1.181 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 N) 1)) in N 1.181 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 1.181 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 1.181 * [taylor]: Taking taylor expansion of 1.0 in N 1.181 * [taylor]: Taking taylor expansion of N in N 1.181 * [taylor]: Taking taylor expansion of 1 in N 1.182 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 N) 1)) in N 1.182 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 1.182 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 1.182 * [taylor]: Taking taylor expansion of 1.0 in N 1.182 * [taylor]: Taking taylor expansion of N in N 1.182 * [taylor]: Taking taylor expansion of 1 in N 1.205 * [approximate]: Taking taylor expansion of (log (- 1 (* 1.0 N))) in (N) around 0 1.205 * [taylor]: Taking taylor expansion of (log (- 1 (* 1.0 N))) in N 1.205 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 N)) in N 1.205 * [taylor]: Taking taylor expansion of 1 in N 1.205 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 1.206 * [taylor]: Taking taylor expansion of 1.0 in N 1.206 * [taylor]: Taking taylor expansion of N in N 1.207 * [taylor]: Taking taylor expansion of (log (- 1 (* 1.0 N))) in N 1.207 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 N)) in N 1.207 * [taylor]: Taking taylor expansion of 1 in N 1.207 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 1.207 * [taylor]: Taking taylor expansion of 1.0 in N 1.207 * [taylor]: Taking taylor expansion of N in N 1.238 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.238 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) 1) in (N) around 0 1.238 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) 1) in N 1.238 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 1.238 * [taylor]: Taking taylor expansion of 1.0 in N 1.238 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.238 * [taylor]: Taking taylor expansion of N in N 1.238 * [taylor]: Taking taylor expansion of 1 in N 1.238 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) 1) in N 1.238 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 1.238 * [taylor]: Taking taylor expansion of 1.0 in N 1.238 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.238 * [taylor]: Taking taylor expansion of N in N 1.239 * [taylor]: Taking taylor expansion of 1 in N 1.249 * [approximate]: Taking taylor expansion of (+ (* 1.0 N) 1) in (N) around 0 1.249 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 1.249 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 1.249 * [taylor]: Taking taylor expansion of 1.0 in N 1.249 * [taylor]: Taking taylor expansion of N in N 1.249 * [taylor]: Taking taylor expansion of 1 in N 1.249 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 1.249 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 1.249 * [taylor]: Taking taylor expansion of 1.0 in N 1.249 * [taylor]: Taking taylor expansion of N in N 1.249 * [taylor]: Taking taylor expansion of 1 in N 1.257 * [approximate]: Taking taylor expansion of (- 1 (* 1.0 N)) in (N) around 0 1.257 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 N)) in N 1.257 * [taylor]: Taking taylor expansion of 1 in N 1.257 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 1.257 * [taylor]: Taking taylor expansion of 1.0 in N 1.257 * [taylor]: Taking taylor expansion of N in N 1.257 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 N)) in N 1.257 * [taylor]: Taking taylor expansion of 1 in N 1.257 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 1.257 * [taylor]: Taking taylor expansion of 1.0 in N 1.257 * [taylor]: Taking taylor expansion of N in N 1.267 * * * [progress]: simplifying candidates 1.268 * [simplify]: Simplifying using # : (log (* (cbrt (+ (* 1.0 (/ 1 N)) 1)) (cbrt (+ (* 1.0 (/ 1 N)) 1)))) (log (cbrt (+ (* 1.0 (/ 1 N)) 1))) (log (sqrt (+ (* 1.0 (/ 1 N)) 1))) (log (sqrt (+ (* 1.0 (/ 1 N)) 1))) (log 1) (log (+ (* 1.0 (/ 1 N)) 1)) (log (+ (pow (* 1.0 (/ 1 N)) 3) (pow 1 3))) (log (+ (* (* 1.0 (/ 1 N)) (* 1.0 (/ 1 N))) (- (* 1 1) (* (* 1.0 (/ 1 N)) 1)))) (log (- (* (* 1.0 (/ 1 N)) (* 1.0 (/ 1 N))) (* 1 1))) (log (- (* 1.0 (/ 1 N)) 1)) (log (+ (* 1.0 (/ 1 N)) 1)) (log (log (+ (* 1.0 (/ 1 N)) 1))) (exp (log (+ (* 1.0 (/ 1 N)) 1))) (* (cbrt (log (+ (* 1.0 (/ 1 N)) 1))) (cbrt (log (+ (* 1.0 (/ 1 N)) 1)))) (cbrt (log (+ (* 1.0 (/ 1 N)) 1))) (* (* (log (+ (* 1.0 (/ 1 N)) 1)) (log (+ (* 1.0 (/ 1 N)) 1))) (log (+ (* 1.0 (/ 1 N)) 1))) (sqrt (log (+ (* 1.0 (/ 1 N)) 1))) (sqrt (log (+ (* 1.0 (/ 1 N)) 1))) (* (exp (* 1.0 (/ 1 N))) (exp 1)) (log (+ (* 1.0 (/ 1 N)) 1)) (exp (+ (* 1.0 (/ 1 N)) 1)) (* (cbrt (+ (* 1.0 (/ 1 N)) 1)) (cbrt (+ (* 1.0 (/ 1 N)) 1))) (cbrt (+ (* 1.0 (/ 1 N)) 1)) (* (* (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1)) (+ (* 1.0 (/ 1 N)) 1)) (sqrt (+ (* 1.0 (/ 1 N)) 1)) (sqrt (+ (* 1.0 (/ 1 N)) 1)) (+ (pow (* 1.0 (/ 1 N)) 3) (pow 1 3)) (+ (* (* 1.0 (/ 1 N)) (* 1.0 (/ 1 N))) (- (* 1 1) (* (* 1.0 (/ 1 N)) 1))) (- (* (* 1.0 (/ 1 N)) (* 1.0 (/ 1 N))) (* 1 1)) (- (* 1.0 (/ 1 N)) 1) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 1.271 * * [simplify]: iteration 0 : 159 enodes (cost 214 ) 1.275 * * [simplify]: iteration 1 : 750 enodes (cost 192 ) 1.289 * * [simplify]: iteration 2 : 3349 enodes (cost 184 ) 1.362 * * [simplify]: iteration 3 : 5002 enodes (cost 184 ) 1.363 * [simplify]: Simplified to: (* 2 (log (cbrt (+ (* 1.0 (/ 1 N)) 1)))) (log (cbrt (+ (* 1.0 (/ 1 N)) 1))) (log (sqrt (+ (* 1.0 (/ 1 N)) 1))) (log (sqrt (+ (* 1.0 (/ 1 N)) 1))) 0 (log (+ (* 1.0 (/ 1 N)) 1)) (log (+ (pow (* 1.0 (/ 1 N)) 3) 1)) (log (+ (* (* 1.0 (/ 1 N)) (* 1.0 (/ 1 N))) (- 1 (* (* 1.0 (/ 1 N)) 1)))) (log (- (* (* 1.0 (/ 1 N)) (* 1.0 (/ 1 N))) 1)) (log (- (* 1.0 (/ 1 N)) 1)) (log (+ (* 1.0 (/ 1 N)) 1)) (log (log (+ (* 1.0 (/ 1 N)) 1))) (+ (* 1.0 (/ 1 N)) 1) (* (cbrt (log (+ (* 1.0 (/ 1 N)) 1))) (cbrt (log (+ (* 1.0 (/ 1 N)) 1)))) (cbrt (log (+ (* 1.0 (/ 1 N)) 1))) (pow (log (+ (* 1.0 (/ 1 N)) 1)) 3) (sqrt (log (+ (* 1.0 (/ 1 N)) 1))) (sqrt (log (+ (* 1.0 (/ 1 N)) 1))) (exp (+ (* 1.0 (/ 1 N)) 1)) (log (+ (* 1.0 (/ 1 N)) 1)) (exp (+ (* 1.0 (/ 1 N)) 1)) (* (cbrt (+ (* 1.0 (/ 1 N)) 1)) (cbrt (+ (* 1.0 (/ 1 N)) 1))) (cbrt (+ (* 1.0 (/ 1 N)) 1)) (pow (+ (* 1.0 (/ 1 N)) 1) 3) (sqrt (+ (* 1.0 (/ 1 N)) 1)) (sqrt (+ (* 1.0 (/ 1 N)) 1)) (+ (pow (* 1.0 (/ 1 N)) 3) 1) (+ 1 (neg (* (/ 1 N) (- 1.0 (/ (* 1.0 1.0) N))))) (+ (/ (* (* 1.0 (/ 1 N)) 1.0) N) -1) (- (* 1.0 (/ 1 N)) 1) (- (+ (* 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 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 1.364 * * * [progress]: adding candidates to table 1.409 * [progress]: [Phase 3 of 3] Extracting. 1.409 * * [regime]: Finding splitpoints for: (# #) 1.409 * * * [regime-changes]: Trying 1 branch expressions: (N) 1.409 * * * * [regimes]: Trying to branch on N from (# #) 1.423 * * * [regime]: Found split indices: #