18.045 * [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 : 10 enodes (cost 7 ) 0.056 * * [simplify]: iteration 1 : 10 enodes (cost 7 ) 0.056 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.056 * * [progress]: iteration 1 / 4 0.056 * * * [progress]: picking best candidate 0.058 * * * * [pick]: Picked # 0.058 * * * [progress]: localizing error 0.065 * * * [progress]: generating rewritten candidates 0.065 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.068 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.075 * * * [progress]: generating series expansions 0.075 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.075 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.075 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.075 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.075 * [taylor]: Taking taylor expansion of N in N 0.075 * [taylor]: Taking taylor expansion of 1.0 in N 0.075 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.076 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.076 * [taylor]: Taking taylor expansion of N in N 0.076 * [taylor]: Taking taylor expansion of 1.0 in N 0.077 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.077 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.077 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.077 * [taylor]: Taking taylor expansion of N in N 0.077 * [taylor]: Taking taylor expansion of 1.0 in N 0.077 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.077 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.077 * [taylor]: Taking taylor expansion of N in N 0.077 * [taylor]: Taking taylor expansion of 1.0 in N 0.078 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.078 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.078 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.078 * [taylor]: Taking taylor expansion of 1.0 in N 0.078 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.078 * [taylor]: Taking taylor expansion of N in N 0.078 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.078 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.078 * [taylor]: Taking taylor expansion of 1.0 in N 0.078 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.078 * [taylor]: Taking taylor expansion of N in N 0.079 * * * * [progress]: [ 2 / 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 0.079 * [taylor]: Taking taylor expansion of (log N) in N 0.079 * [taylor]: Taking taylor expansion of N in N 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 0.079 * [taylor]: Taking taylor expansion of (log N) in N 0.079 * [taylor]: Taking taylor expansion of N in N 0.081 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.081 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.081 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.081 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.081 * [taylor]: Taking taylor expansion of N in N 0.081 * [taylor]: Taking taylor expansion of 1.0 in N 0.081 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.081 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.081 * [taylor]: Taking taylor expansion of N in N 0.081 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.081 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.081 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.081 * [taylor]: Taking taylor expansion of N in N 0.081 * [taylor]: Taking taylor expansion of 1.0 in N 0.081 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.081 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.081 * [taylor]: Taking taylor expansion of N in N 0.083 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.083 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.083 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.083 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.083 * [taylor]: Taking taylor expansion of 1.0 in N 0.083 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.083 * [taylor]: Taking taylor expansion of N in N 0.083 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.083 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.083 * [taylor]: Taking taylor expansion of -1 in N 0.083 * [taylor]: Taking taylor expansion of N in N 0.083 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.083 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.083 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.083 * [taylor]: Taking taylor expansion of 1.0 in N 0.083 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.083 * [taylor]: Taking taylor expansion of N in N 0.083 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.083 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.083 * [taylor]: Taking taylor expansion of -1 in N 0.083 * [taylor]: Taking taylor expansion of N in N 0.085 * * * [progress]: simplifying candidates 0.085 * [simplify]: Simplifying using # : (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (neg (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (neg (log N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log (neg 1))) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (log 1) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (log (neg 1))) (+ (* 0.5 (/ 1 (pow N 2))) (log -1))) 0.131 * * [simplify]: iteration 0 : 5335 enodes (cost 437 ) 0.133 * [simplify]: Simplified to: (* (log (cbrt (+ N 1.0))) 2) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (* 1.0 (- 1.0 N)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (+ 1 (/ 1.0 N)) (log (- (log (+ N 1.0)) (log N))) (+ 1 (/ 1.0 N)) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (+ (log (+ N 1.0)) (log N)))) (neg (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ N 1.0)) (* (log (cbrt N)) -2)) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (* 1.0 (- 1.0 N)))) (log N)) (+ (log (- N 1.0)) (log N)) (neg (log N)) (+ (* N 1.0) (+ (log 1.0) (* (* N N) (/ -1/2 (* 1.0 1.0))))) (+ (log N) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (log N) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (* N 1.0) (+ (log 1.0) (- (* (* N N) (/ -1/2 (* 1.0 1.0))) (log N)))) (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (- (/ 1.0 N) (/ 0.5 (* N N))) 0.133 * * * [progress]: adding candidates to table 0.209 * * [progress]: iteration 2 / 4 0.209 * * * [progress]: picking best candidate 0.216 * * * * [pick]: Picked # 0.216 * * * [progress]: localizing error 0.220 * * * [progress]: generating rewritten candidates 0.220 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.226 * * * [progress]: generating series expansions 0.226 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.226 * [approximate]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 N)) 1)) in (N) around 0 0.226 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 N)) 1)) in N 0.226 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) 1) in N 0.226 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.226 * [taylor]: Taking taylor expansion of 1.0 in N 0.226 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.226 * [taylor]: Taking taylor expansion of N in N 0.226 * [taylor]: Taking taylor expansion of 1 in N 0.226 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 N)) 1)) in N 0.226 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) 1) in N 0.226 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.226 * [taylor]: Taking taylor expansion of 1.0 in N 0.226 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.226 * [taylor]: Taking taylor expansion of N in N 0.226 * [taylor]: Taking taylor expansion of 1 in N 0.227 * [approximate]: Taking taylor expansion of (log (+ (* 1.0 N) 1)) in (N) around 0 0.227 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 N) 1)) in N 0.227 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 0.227 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.227 * [taylor]: Taking taylor expansion of 1.0 in N 0.227 * [taylor]: Taking taylor expansion of N in N 0.227 * [taylor]: Taking taylor expansion of 1 in N 0.227 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 N) 1)) in N 0.227 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 0.227 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.227 * [taylor]: Taking taylor expansion of 1.0 in N 0.227 * [taylor]: Taking taylor expansion of N in N 0.228 * [taylor]: Taking taylor expansion of 1 in N 0.228 * [approximate]: Taking taylor expansion of (log (- 1 (* 1.0 N))) in (N) around 0 0.228 * [taylor]: Taking taylor expansion of (log (- 1 (* 1.0 N))) in N 0.228 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 N)) in N 0.228 * [taylor]: Taking taylor expansion of 1 in N 0.228 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.228 * [taylor]: Taking taylor expansion of 1.0 in N 0.228 * [taylor]: Taking taylor expansion of N in N 0.228 * [taylor]: Taking taylor expansion of (log (- 1 (* 1.0 N))) in N 0.228 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 N)) in N 0.228 * [taylor]: Taking taylor expansion of 1 in N 0.228 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.228 * [taylor]: Taking taylor expansion of 1.0 in N 0.228 * [taylor]: Taking taylor expansion of N in N 0.229 * * * [progress]: simplifying candidates 0.229 * [simplify]: Simplifying using # : (log (* (cbrt (+ 1 (/ 1.0 N))) (cbrt (+ 1 (/ 1.0 N))))) (log (cbrt (+ 1 (/ 1.0 N)))) (log (sqrt (+ 1 (/ 1.0 N)))) (log (sqrt (+ 1 (/ 1.0 N)))) (log 1) (log (+ 1 (/ 1.0 N))) (log 1) (log (+ 1 (/ 1.0 N))) (log (+ (pow 1 3) (pow (/ 1.0 N) 3))) (log (+ (* 1 1) (- (* (/ 1.0 N) (/ 1.0 N)) (* 1 (/ 1.0 N))))) (log (- (* 1 1) (* (/ 1.0 N) (/ 1.0 N)))) (log (- 1 (/ 1.0 N))) (log (+ 1 (/ 1.0 N))) (log (log (+ 1 (/ 1.0 N)))) (exp (log (+ 1 (/ 1.0 N)))) (* (cbrt (log (+ 1 (/ 1.0 N)))) (cbrt (log (+ 1 (/ 1.0 N))))) (cbrt (log (+ 1 (/ 1.0 N)))) (* (* (log (+ 1 (/ 1.0 N))) (log (+ 1 (/ 1.0 N)))) (log (+ 1 (/ 1.0 N)))) (sqrt (log (+ 1 (/ 1.0 N)))) (sqrt (log (+ 1 (/ 1.0 N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) 0.266 * * [simplify]: iteration 0 : 4994 enodes (cost 183 ) 0.266 * * [simplify]: iteration 1 : 4994 enodes (cost 183 ) 0.267 * [simplify]: Simplified to: (* (log (cbrt (+ 1 (/ 1.0 N)))) 2) (log (cbrt (+ 1 (/ 1.0 N)))) (log (sqrt (+ 1 (/ 1.0 N)))) (log (sqrt (+ 1 (/ 1.0 N)))) (log 1) (log (+ 1 (/ 1.0 N))) (log 1) (log (+ 1 (/ 1.0 N))) (log (+ 1 (pow (/ 1.0 N) 3))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))) (log (- 1 (* 1.0 (/ 1.0 (* N N))))) (log (- 1 (/ 1.0 N))) (log (+ 1 (/ 1.0 N))) (log (log (+ 1 (/ 1.0 N)))) (+ 1 (/ 1.0 N)) (* (cbrt (log (+ 1 (/ 1.0 N)))) (cbrt (log (+ 1 (/ 1.0 N))))) (cbrt (log (+ 1 (/ 1.0 N)))) (pow (log (+ 1 (/ 1.0 N))) 3) (sqrt (log (+ 1 (/ 1.0 N)))) (sqrt (log (+ 1 (/ 1.0 N)))) (+ (* 1.0 N) (+ (log 1.0) (- (* (* N N) (/ -1/2 (* 1.0 1.0))) (log N)))) (+ (log 1) (/ (- 1.0 (/ 0.5 N)) N)) (+ (log 1) (/ (- 1.0 (/ 0.5 N)) N)) 0.267 * * * [progress]: adding candidates to table 0.291 * * [progress]: iteration 3 / 4 0.291 * * * [progress]: picking best candidate 0.295 * * * * [pick]: Picked # 0.295 * * * [progress]: localizing error 0.300 * * * [progress]: generating rewritten candidates 0.300 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.304 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.314 * * * [progress]: generating series expansions 0.314 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.314 * [approximate]: Taking taylor expansion of (/ 0.5 (pow N 2)) in (N) around 0 0.314 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 0.314 * [taylor]: Taking taylor expansion of 0.5 in N 0.314 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.314 * [taylor]: Taking taylor expansion of N in N 0.314 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 0.314 * [taylor]: Taking taylor expansion of 0.5 in N 0.314 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.314 * [taylor]: Taking taylor expansion of N in N 0.315 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 0.315 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.315 * [taylor]: Taking taylor expansion of 0.5 in N 0.315 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.315 * [taylor]: Taking taylor expansion of N in N 0.315 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.315 * [taylor]: Taking taylor expansion of 0.5 in N 0.315 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.315 * [taylor]: Taking taylor expansion of N in N 0.316 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 0.316 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.316 * [taylor]: Taking taylor expansion of 0.5 in N 0.316 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.316 * [taylor]: Taking taylor expansion of N in N 0.316 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.317 * [taylor]: Taking taylor expansion of 0.5 in N 0.317 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.317 * [taylor]: Taking taylor expansion of N in N 0.317 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.317 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 0.317 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in N 0.317 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.317 * [taylor]: Taking taylor expansion of 1.0 in N 0.317 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.317 * [taylor]: Taking taylor expansion of N in N 0.317 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 0.317 * [taylor]: Taking taylor expansion of 0.5 in N 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.317 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.317 * [taylor]: Taking taylor expansion of N in N 0.318 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in N 0.318 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.318 * [taylor]: Taking taylor expansion of 1.0 in N 0.318 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.318 * [taylor]: Taking taylor expansion of N in N 0.318 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 0.318 * [taylor]: Taking taylor expansion of 0.5 in N 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.318 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.318 * [taylor]: Taking taylor expansion of N in N 0.320 * [approximate]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in (N) around 0 0.320 * [taylor]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in N 0.320 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.320 * [taylor]: Taking taylor expansion of 1.0 in N 0.320 * [taylor]: Taking taylor expansion of N in N 0.320 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.320 * [taylor]: Taking taylor expansion of 0.5 in N 0.320 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.320 * [taylor]: Taking taylor expansion of N in N 0.320 * [taylor]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in N 0.320 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.320 * [taylor]: Taking taylor expansion of 1.0 in N 0.320 * [taylor]: Taking taylor expansion of N in N 0.320 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.320 * [taylor]: Taking taylor expansion of 0.5 in N 0.320 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.320 * [taylor]: Taking taylor expansion of N in N 0.321 * [approximate]: Taking taylor expansion of (neg (+ (* 0.5 (pow N 2)) (* 1.0 N))) in (N) around 0 0.321 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (pow N 2)) (* 1.0 N))) in N 0.321 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 1.0 N)) in N 0.321 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.321 * [taylor]: Taking taylor expansion of 0.5 in N 0.321 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.321 * [taylor]: Taking taylor expansion of N in N 0.321 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.321 * [taylor]: Taking taylor expansion of 1.0 in N 0.321 * [taylor]: Taking taylor expansion of N in N 0.321 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (pow N 2)) (* 1.0 N))) in N 0.321 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 1.0 N)) in N 0.321 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.321 * [taylor]: Taking taylor expansion of 0.5 in N 0.321 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.321 * [taylor]: Taking taylor expansion of N in N 0.321 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.321 * [taylor]: Taking taylor expansion of 1.0 in N 0.321 * [taylor]: Taking taylor expansion of N in N 0.323 * * * [progress]: simplifying candidates 0.323 * [simplify]: Simplifying using # : (- (log 0.5) (+ (log N) (log N))) (- (log 0.5) (log (* N N))) (log (/ 0.5 (* N N))) (exp (/ 0.5 (* N N))) (/ (* (* 0.5 0.5) 0.5) (* (* (* N N) N) (* (* N N) N))) (/ (* (* 0.5 0.5) 0.5) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (cbrt (/ 0.5 (* N N))) (* (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (neg 0.5) (neg (* N N)) (/ (* (cbrt 0.5) (cbrt 0.5)) N) (/ (cbrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ 1 N) (/ 0.5 N) (/ 1 (* N N)) (/ (* N N) 0.5) (/ 0.5 N) (/ (* N N) (cbrt 0.5)) (/ (* N N) (sqrt 0.5)) (/ (* N N) 0.5) (/ (exp (/ 1.0 N)) (exp (/ 0.5 (* N N)))) (log (- (/ 1.0 N) (/ 0.5 (* N N)))) (exp (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (- (* 1.0 (* N N)) (* N 0.5)) (* N (* N N)) (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N))))) (neg (/ 0.5 (* N N))) (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (+ (/ 1.0 N) (/ 0.5 (* N N))) (+ (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N)))) (- (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N)))) (+ (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)) (- (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)) (+ (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N)))) (- (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N)) (- (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N)) (- (/ 1.0 N) (/ 0.5 (* N N))) (neg (/ 0.5 (* N N))) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 0.352 * * [simplify]: iteration 0 : 4971 enodes (cost 442 ) 0.352 * * [simplify]: iteration 1 : 4971 enodes (cost 442 ) 0.354 * [simplify]: Simplified to: (log (/ 0.5 (* N N))) (log (/ 0.5 (* N N))) (log (/ 0.5 (* N N))) (exp (/ 0.5 (* N N))) (/ (pow 0.5 3) (pow N 6)) (/ (pow 0.5 3) (pow N 6)) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (cbrt (/ 0.5 (* N N))) (/ (pow 0.5 3) (pow N 6)) (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (neg 0.5) (* N (neg N)) (* (cbrt 0.5) (/ (cbrt 0.5) N)) (/ (cbrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ 1 N) (/ 0.5 N) (/ 1 (* N N)) (* N (/ N 0.5)) (/ 0.5 N) (* N (/ N (cbrt 0.5))) (* N (/ N (sqrt 0.5))) (* N (/ N 0.5)) (pow (exp (/ 1 N)) (- 1.0 (/ 0.5 N))) (+ (neg (log N)) (log (- 1.0 (/ 0.5 N)))) (pow (exp (/ 1 N)) (- 1.0 (/ 0.5 N))) (* (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (pow (- (/ 1.0 N) (/ 0.5 (* N N))) 3) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (* N (- (* N 1.0) 0.5)) (pow N 3) (- (pow (/ 1.0 N) 3) (/ (pow 0.5 3) (pow N 6))) (+ (* 0.5 (/ 0.5 (pow N 4))) (* (/ 1.0 (* N N)) (+ (/ 0.5 N) 1.0))) (/ (neg 0.5) (* N N)) (- (* 1.0 (/ 1.0 (* N N))) (* 0.5 (/ 0.5 (pow N 4)))) (+ (/ 0.5 (* N N)) (/ 1.0 N)) (+ (sqrt (/ 0.5 (* N N))) (sqrt (/ 1.0 N))) (- (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 0.5) N) (sqrt (/ 1.0 N))) (- (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)) (+ (sqrt (/ 0.5 (* N N))) (/ (sqrt 1.0) (sqrt N))) (- (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 0.5) N) (/ (sqrt 1.0) (sqrt N))) (- (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N)) (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (neg 0.5) (* N N)) (/ 0.5 (* N N)) (/ 0.5 (* N N)) (/ 0.5 (* N N)) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))) 0.354 * * * [progress]: adding candidates to table 0.400 * * [progress]: iteration 4 / 4 0.400 * * * [progress]: picking best candidate 0.402 * * * * [pick]: Picked # 0.403 * * * [progress]: localizing error 0.416 * * * [progress]: generating rewritten candidates 0.416 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.426 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.428 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.442 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 0.451 * * * [progress]: generating series expansions 0.451 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.451 * [approximate]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 (pow N 3))) 1)) in (N) around 0 0.451 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 (pow N 3))) 1)) in N 0.451 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (pow N 3))) 1) in N 0.451 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow N 3))) in N 0.451 * [taylor]: Taking taylor expansion of 1.0 in N 0.451 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 0.451 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.451 * [taylor]: Taking taylor expansion of N in N 0.451 * [taylor]: Taking taylor expansion of 1 in N 0.451 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 (pow N 3))) 1)) in N 0.451 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (pow N 3))) 1) in N 0.451 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow N 3))) in N 0.451 * [taylor]: Taking taylor expansion of 1.0 in N 0.451 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 0.452 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.452 * [taylor]: Taking taylor expansion of N in N 0.452 * [taylor]: Taking taylor expansion of 1 in N 0.456 * [approximate]: Taking taylor expansion of (log (+ (* 1.0 (pow N 3)) 1)) in (N) around 0 0.456 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (pow N 3)) 1)) in N 0.456 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow N 3)) 1) in N 0.456 * [taylor]: Taking taylor expansion of (* 1.0 (pow N 3)) in N 0.456 * [taylor]: Taking taylor expansion of 1.0 in N 0.456 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.456 * [taylor]: Taking taylor expansion of N in N 0.456 * [taylor]: Taking taylor expansion of 1 in N 0.456 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (pow N 3)) 1)) in N 0.456 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow N 3)) 1) in N 0.456 * [taylor]: Taking taylor expansion of (* 1.0 (pow N 3)) in N 0.456 * [taylor]: Taking taylor expansion of 1.0 in N 0.456 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.456 * [taylor]: Taking taylor expansion of N in N 0.456 * [taylor]: Taking taylor expansion of 1 in N 0.460 * [approximate]: Taking taylor expansion of (log (- 1 (* 1.0 (pow N 3)))) in (N) around 0 0.460 * [taylor]: Taking taylor expansion of (log (- 1 (* 1.0 (pow N 3)))) in N 0.460 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (pow N 3))) in N 0.460 * [taylor]: Taking taylor expansion of 1 in N 0.460 * [taylor]: Taking taylor expansion of (* 1.0 (pow N 3)) in N 0.460 * [taylor]: Taking taylor expansion of 1.0 in N 0.460 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.460 * [taylor]: Taking taylor expansion of N in N 0.460 * [taylor]: Taking taylor expansion of (log (- 1 (* 1.0 (pow N 3)))) in N 0.460 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (pow N 3))) in N 0.460 * [taylor]: Taking taylor expansion of 1 in N 0.460 * [taylor]: Taking taylor expansion of (* 1.0 (pow N 3)) in N 0.460 * [taylor]: Taking taylor expansion of 1.0 in N 0.460 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.460 * [taylor]: Taking taylor expansion of N in N 0.463 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.464 * [approximate]: Taking taylor expansion of (log (- (+ (* 1.0 (/ 1 (pow N 2))) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.464 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 (/ 1 (pow N 2))) 1) (* 1.0 (/ 1 N)))) in N 0.464 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 (pow N 2))) 1) (* 1.0 (/ 1 N))) in N 0.464 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (pow N 2))) 1) in N 0.464 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow N 2))) in N 0.464 * [taylor]: Taking taylor expansion of 1.0 in N 0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.464 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.464 * [taylor]: Taking taylor expansion of N in N 0.464 * [taylor]: Taking taylor expansion of 1 in N 0.464 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.464 * [taylor]: Taking taylor expansion of 1.0 in N 0.464 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.464 * [taylor]: Taking taylor expansion of N in N 0.464 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 (/ 1 (pow N 2))) 1) (* 1.0 (/ 1 N)))) in N 0.464 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 (pow N 2))) 1) (* 1.0 (/ 1 N))) in N 0.464 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (pow N 2))) 1) in N 0.464 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow N 2))) in N 0.464 * [taylor]: Taking taylor expansion of 1.0 in N 0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.464 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.464 * [taylor]: Taking taylor expansion of N in N 0.464 * [taylor]: Taking taylor expansion of 1 in N 0.464 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.464 * [taylor]: Taking taylor expansion of 1.0 in N 0.464 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.464 * [taylor]: Taking taylor expansion of N in N 0.465 * [approximate]: Taking taylor expansion of (log (- (+ (* 1.0 (pow N 2)) 1) (* 1.0 N))) in (N) around 0 0.465 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 (pow N 2)) 1) (* 1.0 N))) in N 0.465 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (pow N 2)) 1) (* 1.0 N)) in N 0.465 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow N 2)) 1) in N 0.465 * [taylor]: Taking taylor expansion of (* 1.0 (pow N 2)) in N 0.465 * [taylor]: Taking taylor expansion of 1.0 in N 0.465 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.465 * [taylor]: Taking taylor expansion of N in N 0.465 * [taylor]: Taking taylor expansion of 1 in N 0.465 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.465 * [taylor]: Taking taylor expansion of 1.0 in N 0.466 * [taylor]: Taking taylor expansion of N in N 0.466 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 (pow N 2)) 1) (* 1.0 N))) in N 0.466 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (pow N 2)) 1) (* 1.0 N)) in N 0.466 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow N 2)) 1) in N 0.466 * [taylor]: Taking taylor expansion of (* 1.0 (pow N 2)) in N 0.466 * [taylor]: Taking taylor expansion of 1.0 in N 0.466 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.466 * [taylor]: Taking taylor expansion of N in N 0.466 * [taylor]: Taking taylor expansion of 1 in N 0.466 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.466 * [taylor]: Taking taylor expansion of 1.0 in N 0.466 * [taylor]: Taking taylor expansion of N in N 0.466 * [approximate]: Taking taylor expansion of (log (+ (* 1.0 (pow N 2)) (+ (* 1.0 N) 1))) in (N) around 0 0.467 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (pow N 2)) (+ (* 1.0 N) 1))) in N 0.467 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow N 2)) (+ (* 1.0 N) 1)) in N 0.467 * [taylor]: Taking taylor expansion of (* 1.0 (pow N 2)) in N 0.467 * [taylor]: Taking taylor expansion of 1.0 in N 0.467 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.467 * [taylor]: Taking taylor expansion of N in N 0.467 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 0.467 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.467 * [taylor]: Taking taylor expansion of 1.0 in N 0.467 * [taylor]: Taking taylor expansion of N in N 0.467 * [taylor]: Taking taylor expansion of 1 in N 0.467 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (pow N 2)) (+ (* 1.0 N) 1))) in N 0.467 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow N 2)) (+ (* 1.0 N) 1)) in N 0.467 * [taylor]: Taking taylor expansion of (* 1.0 (pow N 2)) in N 0.467 * [taylor]: Taking taylor expansion of 1.0 in N 0.467 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.467 * [taylor]: Taking taylor expansion of N in N 0.467 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 0.467 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.467 * [taylor]: Taking taylor expansion of 1.0 in N 0.467 * [taylor]: Taking taylor expansion of N in N 0.467 * [taylor]: Taking taylor expansion of 1 in N 0.468 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.468 * [approximate]: Taking taylor expansion of (- (log (+ (* 1.0 (/ 1 (pow N 3))) 1)) (log (- (+ (* 1.0 (/ 1 (pow N 2))) 1) (* 1.0 (/ 1 N))))) in (N) around 0 0.468 * [taylor]: Taking taylor expansion of (- (log (+ (* 1.0 (/ 1 (pow N 3))) 1)) (log (- (+ (* 1.0 (/ 1 (pow N 2))) 1) (* 1.0 (/ 1 N))))) in N 0.468 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 (pow N 3))) 1)) in N 0.468 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (pow N 3))) 1) in N 0.468 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow N 3))) in N 0.468 * [taylor]: Taking taylor expansion of 1.0 in N 0.468 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 0.468 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.468 * [taylor]: Taking taylor expansion of N in N 0.468 * [taylor]: Taking taylor expansion of 1 in N 0.468 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 (/ 1 (pow N 2))) 1) (* 1.0 (/ 1 N)))) in N 0.468 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 (pow N 2))) 1) (* 1.0 (/ 1 N))) in N 0.468 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (pow N 2))) 1) in N 0.468 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow N 2))) in N 0.468 * [taylor]: Taking taylor expansion of 1.0 in N 0.468 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.468 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.468 * [taylor]: Taking taylor expansion of N in N 0.468 * [taylor]: Taking taylor expansion of 1 in N 0.468 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.468 * [taylor]: Taking taylor expansion of 1.0 in N 0.468 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.468 * [taylor]: Taking taylor expansion of N in N 0.468 * [taylor]: Taking taylor expansion of (- (log (+ (* 1.0 (/ 1 (pow N 3))) 1)) (log (- (+ (* 1.0 (/ 1 (pow N 2))) 1) (* 1.0 (/ 1 N))))) in N 0.468 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 (pow N 3))) 1)) in N 0.468 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (pow N 3))) 1) in N 0.468 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow N 3))) in N 0.468 * [taylor]: Taking taylor expansion of 1.0 in N 0.468 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 0.468 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.468 * [taylor]: Taking taylor expansion of N in N 0.468 * [taylor]: Taking taylor expansion of 1 in N 0.469 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 (/ 1 (pow N 2))) 1) (* 1.0 (/ 1 N)))) in N 0.469 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 (pow N 2))) 1) (* 1.0 (/ 1 N))) in N 0.469 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (pow N 2))) 1) in N 0.469 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow N 2))) in N 0.469 * [taylor]: Taking taylor expansion of 1.0 in N 0.469 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.469 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.469 * [taylor]: Taking taylor expansion of N in N 0.469 * [taylor]: Taking taylor expansion of 1 in N 0.469 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.469 * [taylor]: Taking taylor expansion of 1.0 in N 0.469 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.469 * [taylor]: Taking taylor expansion of N in N 0.471 * [approximate]: Taking taylor expansion of (- (log (+ (* 1.0 (pow N 3)) 1)) (log (- (+ (* 1.0 (pow N 2)) 1) (* 1.0 N)))) in (N) around 0 0.471 * [taylor]: Taking taylor expansion of (- (log (+ (* 1.0 (pow N 3)) 1)) (log (- (+ (* 1.0 (pow N 2)) 1) (* 1.0 N)))) in N 0.471 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (pow N 3)) 1)) in N 0.471 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow N 3)) 1) in N 0.471 * [taylor]: Taking taylor expansion of (* 1.0 (pow N 3)) in N 0.471 * [taylor]: Taking taylor expansion of 1.0 in N 0.471 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.471 * [taylor]: Taking taylor expansion of N in N 0.471 * [taylor]: Taking taylor expansion of 1 in N 0.471 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 (pow N 2)) 1) (* 1.0 N))) in N 0.471 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (pow N 2)) 1) (* 1.0 N)) in N 0.471 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow N 2)) 1) in N 0.471 * [taylor]: Taking taylor expansion of (* 1.0 (pow N 2)) in N 0.471 * [taylor]: Taking taylor expansion of 1.0 in N 0.471 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.471 * [taylor]: Taking taylor expansion of N in N 0.471 * [taylor]: Taking taylor expansion of 1 in N 0.471 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.471 * [taylor]: Taking taylor expansion of 1.0 in N 0.471 * [taylor]: Taking taylor expansion of N in N 0.471 * [taylor]: Taking taylor expansion of (- (log (+ (* 1.0 (pow N 3)) 1)) (log (- (+ (* 1.0 (pow N 2)) 1) (* 1.0 N)))) in N 0.471 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (pow N 3)) 1)) in N 0.471 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow N 3)) 1) in N 0.471 * [taylor]: Taking taylor expansion of (* 1.0 (pow N 3)) in N 0.471 * [taylor]: Taking taylor expansion of 1.0 in N 0.471 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.471 * [taylor]: Taking taylor expansion of N in N 0.471 * [taylor]: Taking taylor expansion of 1 in N 0.471 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 (pow N 2)) 1) (* 1.0 N))) in N 0.471 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (pow N 2)) 1) (* 1.0 N)) in N 0.471 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow N 2)) 1) in N 0.471 * [taylor]: Taking taylor expansion of (* 1.0 (pow N 2)) in N 0.471 * [taylor]: Taking taylor expansion of 1.0 in N 0.471 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.471 * [taylor]: Taking taylor expansion of N in N 0.471 * [taylor]: Taking taylor expansion of 1 in N 0.471 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.471 * [taylor]: Taking taylor expansion of 1.0 in N 0.471 * [taylor]: Taking taylor expansion of N in N 0.474 * [approximate]: Taking taylor expansion of (- (log (- 1 (* 1.0 (pow N 3)))) (log (+ (* 1.0 (pow N 2)) (+ (* 1.0 N) 1)))) in (N) around 0 0.474 * [taylor]: Taking taylor expansion of (- (log (- 1 (* 1.0 (pow N 3)))) (log (+ (* 1.0 (pow N 2)) (+ (* 1.0 N) 1)))) in N 0.474 * [taylor]: Taking taylor expansion of (log (- 1 (* 1.0 (pow N 3)))) in N 0.474 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (pow N 3))) in N 0.474 * [taylor]: Taking taylor expansion of 1 in N 0.474 * [taylor]: Taking taylor expansion of (* 1.0 (pow N 3)) in N 0.474 * [taylor]: Taking taylor expansion of 1.0 in N 0.474 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.474 * [taylor]: Taking taylor expansion of N in N 0.474 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (pow N 2)) (+ (* 1.0 N) 1))) in N 0.474 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow N 2)) (+ (* 1.0 N) 1)) in N 0.474 * [taylor]: Taking taylor expansion of (* 1.0 (pow N 2)) in N 0.474 * [taylor]: Taking taylor expansion of 1.0 in N 0.474 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.474 * [taylor]: Taking taylor expansion of N in N 0.474 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 0.474 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.474 * [taylor]: Taking taylor expansion of 1.0 in N 0.474 * [taylor]: Taking taylor expansion of N in N 0.474 * [taylor]: Taking taylor expansion of 1 in N 0.474 * [taylor]: Taking taylor expansion of (- (log (- 1 (* 1.0 (pow N 3)))) (log (+ (* 1.0 (pow N 2)) (+ (* 1.0 N) 1)))) in N 0.474 * [taylor]: Taking taylor expansion of (log (- 1 (* 1.0 (pow N 3)))) in N 0.474 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (pow N 3))) in N 0.474 * [taylor]: Taking taylor expansion of 1 in N 0.474 * [taylor]: Taking taylor expansion of (* 1.0 (pow N 3)) in N 0.474 * [taylor]: Taking taylor expansion of 1.0 in N 0.474 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.474 * [taylor]: Taking taylor expansion of N in N 0.474 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (pow N 2)) (+ (* 1.0 N) 1))) in N 0.474 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow N 2)) (+ (* 1.0 N) 1)) in N 0.474 * [taylor]: Taking taylor expansion of (* 1.0 (pow N 2)) in N 0.474 * [taylor]: Taking taylor expansion of 1.0 in N 0.474 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.474 * [taylor]: Taking taylor expansion of N in N 0.474 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 0.474 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.474 * [taylor]: Taking taylor expansion of 1.0 in N 0.474 * [taylor]: Taking taylor expansion of N in N 0.474 * [taylor]: Taking taylor expansion of 1 in N 0.476 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 0.476 * [approximate]: Taking taylor expansion of (pow (/ 1.0 N) 3) in (N) around 0 0.476 * [taylor]: Taking taylor expansion of (pow (/ 1.0 N) 3) in N 0.476 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 0.476 * [taylor]: Taking taylor expansion of 1.0 in N 0.476 * [taylor]: Taking taylor expansion of N in N 0.476 * [taylor]: Taking taylor expansion of (pow (/ 1.0 N) 3) in N 0.476 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 0.476 * [taylor]: Taking taylor expansion of 1.0 in N 0.476 * [taylor]: Taking taylor expansion of N in N 0.477 * [approximate]: Taking taylor expansion of (pow (* 1.0 N) 3) in (N) around 0 0.477 * [taylor]: Taking taylor expansion of (pow (* 1.0 N) 3) in N 0.477 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.477 * [taylor]: Taking taylor expansion of 1.0 in N 0.477 * [taylor]: Taking taylor expansion of N in N 0.477 * [taylor]: Taking taylor expansion of (pow (* 1.0 N) 3) in N 0.477 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.477 * [taylor]: Taking taylor expansion of 1.0 in N 0.477 * [taylor]: Taking taylor expansion of N in N 0.478 * [approximate]: Taking taylor expansion of (pow (* -1.0 N) 3) in (N) around 0 0.478 * [taylor]: Taking taylor expansion of (pow (* -1.0 N) 3) in N 0.478 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 0.478 * [taylor]: Taking taylor expansion of -1.0 in N 0.478 * [taylor]: Taking taylor expansion of N in N 0.479 * [taylor]: Taking taylor expansion of (pow (* -1.0 N) 3) in N 0.479 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 0.479 * [taylor]: Taking taylor expansion of -1.0 in N 0.479 * [taylor]: Taking taylor expansion of N in N 0.480 * * * [progress]: simplifying candidates 0.481 * [simplify]: Simplifying using # : (log (* (cbrt (+ 1 (pow (/ 1.0 N) 3))) (cbrt (+ 1 (pow (/ 1.0 N) 3))))) (log (cbrt (+ 1 (pow (/ 1.0 N) 3)))) (log (sqrt (+ 1 (pow (/ 1.0 N) 3)))) (log (sqrt (+ 1 (pow (/ 1.0 N) 3)))) (log 1) (log (+ 1 (pow (/ 1.0 N) 3))) (log 1) (log (+ 1 (pow (/ 1.0 N) 3))) (log (+ (pow 1 3) (pow (pow (/ 1.0 N) 3) 3))) (log (+ (* 1 1) (- (* (pow (/ 1.0 N) 3) (pow (/ 1.0 N) 3)) (* 1 (pow (/ 1.0 N) 3))))) (log (- (* 1 1) (* (pow (/ 1.0 N) 3) (pow (/ 1.0 N) 3)))) (log (- 1 (pow (/ 1.0 N) 3))) (log (+ 1 (pow (/ 1.0 N) 3))) (log (log (+ 1 (pow (/ 1.0 N) 3)))) (exp (log (+ 1 (pow (/ 1.0 N) 3)))) (* (cbrt (log (+ 1 (pow (/ 1.0 N) 3)))) (cbrt (log (+ 1 (pow (/ 1.0 N) 3))))) (cbrt (log (+ 1 (pow (/ 1.0 N) 3)))) (* (* (log (+ 1 (pow (/ 1.0 N) 3))) (log (+ 1 (pow (/ 1.0 N) 3)))) (log (+ 1 (pow (/ 1.0 N) 3)))) (sqrt (log (+ 1 (pow (/ 1.0 N) 3)))) (sqrt (log (+ 1 (pow (/ 1.0 N) 3)))) (log (* (cbrt (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))) (cbrt (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))))) (log (cbrt (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (log (sqrt (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (log (sqrt (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (log 1) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))) (log (+ (pow 1 3) (pow (* 1.0 (/ (+ (/ 1.0 N) -1) N)) 3))) (log (+ (* 1 1) (- (* (* 1.0 (/ (+ (/ 1.0 N) -1) N)) (* 1.0 (/ (+ (/ 1.0 N) -1) N))) (* 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))))) (log (- (* 1 1) (* (* 1.0 (/ (+ (/ 1.0 N) -1) N)) (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (log (- 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))) (log (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (exp (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (* (cbrt (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (cbrt (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))))) (cbrt (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (* (* (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (sqrt (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (sqrt (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (/ (+ 1 (pow (/ 1.0 N) 3)) (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))) (log (- (log (+ 1 (pow (/ 1.0 N) 3))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))))) (exp (- (log (+ 1 (pow (/ 1.0 N) 3))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))))) (* (cbrt (- (log (+ 1 (pow (/ 1.0 N) 3))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))))) (cbrt (- (log (+ 1 (pow (/ 1.0 N) 3))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))))) (cbrt (- (log (+ 1 (pow (/ 1.0 N) 3))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))))) (* (* (- (log (+ 1 (pow (/ 1.0 N) 3))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (- (log (+ 1 (pow (/ 1.0 N) 3))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))))) (- (log (+ 1 (pow (/ 1.0 N) 3))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))))) (sqrt (- (log (+ 1 (pow (/ 1.0 N) 3))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))))) (sqrt (- (log (+ 1 (pow (/ 1.0 N) 3))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))))) (- (pow (log (+ 1 (pow (/ 1.0 N) 3))) 3) (pow (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))) 3)) (+ (* (log (+ 1 (pow (/ 1.0 N) 3))) (log (+ 1 (pow (/ 1.0 N) 3)))) (+ (* (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (* (log (+ 1 (pow (/ 1.0 N) 3))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))))) (neg (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (- (* (log (+ 1 (pow (/ 1.0 N) 3))) (log (+ 1 (pow (/ 1.0 N) 3)))) (* (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))))) (+ (log (+ 1 (pow (/ 1.0 N) 3))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (+ (sqrt (log (+ 1 (pow (/ 1.0 N) 3)))) (sqrt (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))))) (- (sqrt (log (+ 1 (pow (/ 1.0 N) 3)))) (sqrt (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))))) (- (log (+ 1 (pow (/ 1.0 N) 3))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (- (log (+ 1 (pow (/ 1.0 N) 3))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (- (log (+ 1 (pow (/ 1.0 N) 3))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (- (log (+ 1 (pow (/ 1.0 N) 3))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (- (log (+ 1 (pow (/ 1.0 N) 3))) (log (* (cbrt (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))) (cbrt (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))))) (- (log (+ 1 (pow (/ 1.0 N) 3))) (log (sqrt (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))))) (- (log (+ 1 (pow (/ 1.0 N) 3))) (log 1)) (- (log (cbrt (+ 1 (pow (/ 1.0 N) 3)))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (- (log (sqrt (+ 1 (pow (/ 1.0 N) 3)))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (- (log (+ 1 (pow (/ 1.0 N) 3))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (- (log (+ 1 (pow (/ 1.0 N) 3))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (+ (log (+ (* 1 1) (- (* (pow (/ 1.0 N) 3) (pow (/ 1.0 N) 3)) (* 1 (pow (/ 1.0 N) 3))))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (+ (log (- 1 (pow (/ 1.0 N) 3))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (- (log (+ 1 (pow (/ 1.0 N) 3))) (log (+ (pow 1 3) (pow (* 1.0 (/ (+ (/ 1.0 N) -1) N)) 3)))) (- (log (+ 1 (pow (/ 1.0 N) 3))) (log (- (* 1 1) (* (* 1.0 (/ (+ (/ 1.0 N) -1) N)) (* 1.0 (/ (+ (/ 1.0 N) -1) N)))))) (neg (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (* (- (log 1.0) (log N)) 3) (* (log (/ 1.0 N)) 3) (* (log (/ 1.0 N)) 3) (* 1 3) (pow (/ 1.0 N) (* (cbrt 3) (cbrt 3))) (pow (/ 1.0 N) (sqrt 3)) (pow (/ 1.0 N) 1) (pow (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) 3) (pow (cbrt (/ 1.0 N)) 3) (pow (sqrt (/ 1.0 N)) 3) (pow (sqrt (/ 1.0 N)) 3) (pow (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt N) (cbrt N))) 3) (pow (/ (cbrt 1.0) (cbrt N)) 3) (pow (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt N)) 3) (pow (/ (cbrt 1.0) (sqrt N)) 3) (pow (/ (* (cbrt 1.0) (cbrt 1.0)) 1) 3) (pow (/ (cbrt 1.0) N) 3) (pow (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) 3) (pow (/ (sqrt 1.0) (cbrt N)) 3) (pow (/ (sqrt 1.0) (sqrt N)) 3) (pow (/ (sqrt 1.0) (sqrt N)) 3) (pow (/ (sqrt 1.0) 1) 3) (pow (/ (sqrt 1.0) N) 3) (pow (/ 1 (* (cbrt N) (cbrt N))) 3) (pow (/ 1.0 (cbrt N)) 3) (pow (/ 1 (sqrt N)) 3) (pow (/ 1.0 (sqrt N)) 3) (pow (/ 1 1) 3) (pow (/ 1.0 N) 3) (pow 1 3) (pow (/ 1.0 N) 3) (pow 1.0 3) (pow (/ 1 N) 3) (* (/ 1.0 N) (/ 1.0 N)) (log (pow (/ 1.0 N) 3)) (exp (pow (/ 1.0 N) 3)) (* (cbrt (pow (/ 1.0 N) 3)) (cbrt (pow (/ 1.0 N) 3))) (cbrt (pow (/ 1.0 N) 3)) (* (* (pow (/ 1.0 N) 3) (pow (/ 1.0 N) 3)) (pow (/ 1.0 N) 3)) (pow (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) 3) (pow (cbrt (/ 1.0 N)) 3) (pow (sqrt (/ 1.0 N)) 3) (pow (sqrt (/ 1.0 N)) 3) (pow (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt N) (cbrt N))) 3) (pow (/ (cbrt 1.0) (cbrt N)) 3) (pow (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt N)) 3) (pow (/ (cbrt 1.0) (sqrt N)) 3) (pow (/ (* (cbrt 1.0) (cbrt 1.0)) 1) 3) (pow (/ (cbrt 1.0) N) 3) (pow (/ (sqrt 1.0) (* (cbrt N) (cbrt N))) 3) (pow (/ (sqrt 1.0) (cbrt N)) 3) (pow (/ (sqrt 1.0) (sqrt N)) 3) (pow (/ (sqrt 1.0) (sqrt N)) 3) (pow (/ (sqrt 1.0) 1) 3) (pow (/ (sqrt 1.0) N) 3) (pow (/ 1 (* (cbrt N) (cbrt N))) 3) (pow (/ 1.0 (cbrt N)) 3) (pow (/ 1 (sqrt N)) 3) (pow (/ 1.0 (sqrt N)) 3) (pow (/ 1 1) 3) (pow (/ 1.0 N) 3) (pow 1 3) (pow (/ 1.0 N) 3) (pow 1.0 3) (pow (/ 1 N) 3) (pow 1.0 3) (pow N 3) (* (/ 1.0 N) (/ 1.0 N)) (sqrt (pow (/ 1.0 N) 3)) (sqrt (pow (/ 1.0 N) 3)) (pow (/ 1.0 N) (/ 3 2)) (pow (/ 1.0 N) (/ 3 2)) (- (+ (log 1.0) (* 1.0 (pow N 3))) (+ (* 1/2 (/ (pow N 6) (pow 1.0 2))) (* 3 (log N)))) (- (+ (* 1.0 (/ 1 (pow N 3))) (log 1)) (* 0.5 (/ 1 (pow N 6)))) (- (+ (* 1.0 (/ 1 (pow N 3))) (log 1)) (* 0.5 (/ 1 (pow N 6)))) (- (+ (* 1.0 (pow N 2)) (log 1.0)) (+ (* 1.0 N) (+ (* 0.5 (/ (pow N 2) (pow 1.0 2))) (* 2 (log N))))) (- (+ (log 1) (* 0.5 (/ 1 (pow N 2)))) (* 1.0 (/ 1 N))) (- (+ (log 1) (* 0.5 (/ 1 (pow N 2)))) (* 1.0 (/ 1 N))) (- (+ (* 1.0 N) (* 0.5 (/ (pow N 2) (pow 1.0 2)))) (+ (* 1.0 (pow N 2)) (log N))) (- (+ (* 0.33333333333333337 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.33333333333333337 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (/ 1.0 (pow N 3)) (/ 1.0 (pow N 3)) (/ 1.0 (pow N 3)) 0.522 * * [simplify]: iteration 0 : 5222 enodes (cost 1689 ) 0.528 * [simplify]: Simplified to: (* 2 (log (cbrt (+ 1 (pow (/ 1.0 N) 3))))) (log (cbrt (+ 1 (pow (/ 1.0 N) 3)))) (log (sqrt (+ 1 (pow (/ 1.0 N) 3)))) (log (sqrt (+ 1 (pow (/ 1.0 N) 3)))) (log 1) (log (+ 1 (pow (/ 1.0 N) 3))) (log 1) (log (+ 1 (pow (/ 1.0 N) 3))) (log (+ 1 (pow (pow (/ 1.0 N) 3) 3))) (log (+ 1 (- (pow (/ 1.0 N) 6) (pow (/ 1.0 N) 3)))) (log (- 1 (pow (/ 1.0 N) 6))) (log (- 1 (pow (/ 1.0 N) 3))) (log (+ 1 (pow (/ 1.0 N) 3))) (log (log (+ 1 (pow (/ 1.0 N) 3)))) (+ 1 (pow (/ 1.0 N) 3)) (* (cbrt (log (+ 1 (pow (/ 1.0 N) 3)))) (cbrt (log (+ 1 (pow (/ 1.0 N) 3))))) (cbrt (log (+ 1 (pow (/ 1.0 N) 3)))) (pow (log (+ 1 (pow (/ 1.0 N) 3))) 3) (sqrt (log (+ 1 (pow (/ 1.0 N) 3)))) (sqrt (log (+ 1 (pow (/ 1.0 N) 3)))) (* 2 (log (cbrt (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))))) (log (cbrt (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (log (sqrt (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (log (sqrt (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (log 1) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))) (log (+ 1 (pow (* 1.0 (/ (+ (/ 1.0 N) -1) N)) 3))) (log (+ 1 (* 1.0 (* (/ (+ (/ 1.0 N) -1) N) (+ (* 1.0 (/ (+ (/ 1.0 N) -1) N)) -1))))) (log (- 1 (* 1.0 (* (/ (+ (/ 1.0 N) -1) N) (* 1.0 (/ (+ (/ 1.0 N) -1) N)))))) (log (- 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))) (log (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))) (* (cbrt (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (cbrt (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))))) (cbrt (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (pow (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))) 3) (sqrt (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (sqrt (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (/ (+ 1 (pow (/ 1.0 N) 3)) (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))) (log (- (log (+ 1 (pow (/ 1.0 N) 3))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))))) (/ (+ 1 (pow (/ 1.0 N) 3)) (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))) (* (cbrt (- (log (+ 1 (pow (/ 1.0 N) 3))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))))) (cbrt (- (log (+ 1 (pow (/ 1.0 N) 3))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))))) (cbrt (- (log (+ 1 (pow (/ 1.0 N) 3))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))))) (pow (- (log (+ 1 (pow (/ 1.0 N) 3))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) 3) (sqrt (- (log (+ 1 (pow (/ 1.0 N) 3))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))))) (sqrt (- (log (+ 1 (pow (/ 1.0 N) 3))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))))) (- (pow (log (+ 1 (pow (/ 1.0 N) 3))) 3) (pow (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))) 3)) (+ (* (log (+ 1 (pow (/ 1.0 N) 3))) (log (+ 1 (pow (/ 1.0 N) 3)))) (* (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))) (+ (log (+ 1 (pow (/ 1.0 N) 3))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))))) (neg (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (- (* (log (+ 1 (pow (/ 1.0 N) 3))) (log (+ 1 (pow (/ 1.0 N) 3)))) (* (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))))) (+ (log (+ 1 (pow (/ 1.0 N) 3))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (+ (sqrt (log (+ 1 (pow (/ 1.0 N) 3)))) (sqrt (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))))) (- (sqrt (log (+ 1 (pow (/ 1.0 N) 3)))) (sqrt (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))))) (- (log (+ 1 (pow (/ 1.0 N) 3))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (- (log (+ 1 (pow (/ 1.0 N) 3))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (- (log (+ 1 (pow (/ 1.0 N) 3))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (- (log (+ 1 (pow (/ 1.0 N) 3))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (+ (log (+ 1 (pow (/ 1.0 N) 3))) (* -2 (log (cbrt (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))))) (- (log (+ 1 (pow (/ 1.0 N) 3))) (log (sqrt (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N)))))) (- (log (+ 1 (pow (/ 1.0 N) 3))) (log 1)) (- (log (cbrt (+ 1 (pow (/ 1.0 N) 3)))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (- (log (sqrt (+ 1 (pow (/ 1.0 N) 3)))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (- (log (+ 1 (pow (/ 1.0 N) 3))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (- (log (+ 1 (pow (/ 1.0 N) 3))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (+ (log (+ 1 (- (pow (/ 1.0 N) 6) (pow (/ 1.0 N) 3)))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (+ (log (- 1 (pow (/ 1.0 N) 3))) (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (- (log (+ 1 (pow (/ 1.0 N) 3))) (log (+ 1 (pow (* 1.0 (/ (+ (/ 1.0 N) -1) N)) 3)))) (- (log (+ 1 (pow (/ 1.0 N) 3))) (log (- 1 (* 1.0 (* (/ (+ (/ 1.0 N) -1) N) (* 1.0 (/ (+ (/ 1.0 N) -1) N))))))) (neg (log (+ 1 (* 1.0 (/ (+ (/ 1.0 N) -1) N))))) (* 3 (log (/ 1.0 N))) (* 3 (log (/ 1.0 N))) (* 3 (log (/ 1.0 N))) 3 (pow (/ 1.0 N) (* (cbrt 3) (cbrt 3))) (pow (/ 1.0 N) (sqrt 3)) (/ 1.0 N) (pow (/ 1.0 N) 2) (/ 1.0 N) (pow (/ 1.0 N) 3/2) (pow (/ 1.0 N) 3/2) (pow (/ 1.0 N) 2) (/ 1.0 N) (* (/ 1.0 (* N (sqrt N))) 1.0) (/ 1.0 (* N (sqrt N))) (* 1.0 1.0) (/ 1.0 (pow N 3)) (/ 1.0 (/ (* N N) (sqrt 1.0))) (/ 1.0 (/ N (sqrt 1.0))) (pow (/ (sqrt 1.0) (sqrt N)) 3) (pow (/ (sqrt 1.0) (sqrt N)) 3) (* 1.0 (sqrt 1.0)) (pow (/ (sqrt 1.0) N) 3) (/ 1 (* N N)) (/ (pow 1.0 3) N) (/ 1 (* N (sqrt N))) (pow (/ 1.0 (sqrt N)) 3) 1 (pow (/ 1.0 N) 3) 1 (pow (/ 1.0 N) 3) (pow 1.0 3) (/ 1 (pow N 3)) (pow (/ 1.0 N) 2) (* 3 (log (/ 1.0 N))) (exp (pow (/ 1.0 N) 3)) (pow (/ 1.0 N) 2) (/ 1.0 N) (pow (pow (/ 1.0 N) 3) 3) (pow (/ 1.0 N) 2) (/ 1.0 N) (pow (/ 1.0 N) 3/2) (pow (/ 1.0 N) 3/2) (pow (/ 1.0 N) 2) (/ 1.0 N) (* (/ 1.0 (* N (sqrt N))) 1.0) (/ 1.0 (* N (sqrt N))) (* 1.0 1.0) (/ 1.0 (pow N 3)) (/ 1.0 (/ (* N N) (sqrt 1.0))) (/ 1.0 (/ N (sqrt 1.0))) (pow (/ (sqrt 1.0) (sqrt N)) 3) (pow (/ (sqrt 1.0) (sqrt N)) 3) (* 1.0 (sqrt 1.0)) (pow (/ (sqrt 1.0) N) 3) (/ 1 (* N N)) (/ (pow 1.0 3) N) (/ 1 (* N (sqrt N))) (pow (/ 1.0 (sqrt N)) 3) 1 (pow (/ 1.0 N) 3) 1 (pow (/ 1.0 N) 3) (pow 1.0 3) (/ 1 (pow N 3)) (pow 1.0 3) (pow N 3) (pow (/ 1.0 N) 2) (sqrt (pow (/ 1.0 N) 3)) (sqrt (pow (/ 1.0 N) 3)) (pow (/ 1.0 N) 3/2) (pow (/ 1.0 N) 3/2) (+ (log 1.0) (+ (* 1.0 (pow N 3)) (+ (* (/ (pow N 6) (* 1.0 1.0)) -1/2) (* (log N) -3)))) (+ (log 1) (- (/ 1.0 (pow N 3)) (/ 0.5 (pow N 6)))) (+ (log 1) (- (/ 1.0 (pow N 3)) (/ 0.5 (pow N 6)))) (+ (log 1.0) (- (* 1.0 (- (* N N) N)) (+ (/ 0.5 (pow (/ 1.0 N) 2)) (* (log N) 2)))) (+ (log 1) (- (/ 0.5 (* N N)) (/ 1.0 N))) (+ (log 1) (- (/ 0.5 (* N N)) (/ 1.0 N))) (+ (/ 0.5 (pow (/ 1.0 N) 2)) (- (* 1.0 (- N (* N N))) (log N))) (+ (/ 1.0 N) (- (/ 0.33333333333333337 (pow N 3)) (/ 0.5 (* N N)))) (+ (/ 1.0 N) (- (/ 0.33333333333333337 (pow N 3)) (/ 0.5 (* N N)))) (/ 1.0 (pow N 3)) (/ 1.0 (pow N 3)) (/ 1.0 (pow N 3)) 0.529 * * * [progress]: adding candidates to table 0.717 * [progress]: [Phase 3 of 3] Extracting. 0.717 * * [regime]: Finding splitpoints for: (# # # #) 0.718 * * * [regime-changes]: Trying 1 branch expressions: (N) 0.718 * * * * [regimes]: Trying to branch on N from (# # # #) 0.757 * * * [regime]: Found split indices: #