10.105 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.041 * * * [progress]: [2/2] Setting up program. 0.044 * [progress]: [Phase 2 of 3] Improving. 0.044 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.048 * * [simplify]: iteration 0 : 71 enodes (cost 7 ) 0.048 * * [simplify]: iteration 1 : 71 enodes (cost 7 ) 0.048 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.049 * * [progress]: iteration 1 / 4 0.049 * * * [progress]: picking best candidate 0.051 * * * * [pick]: Picked # 0.051 * * * [progress]: localizing error 0.057 * * * [progress]: generating rewritten candidates 0.057 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.069 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.073 * * * [progress]: generating series expansions 0.073 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.073 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.073 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.073 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.073 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.073 * [taylor]: Taking taylor expansion of N in N 0.073 * [taylor]: Taking taylor expansion of 1.0 in N 0.073 * [taylor]: Taking taylor expansion of (log N) in N 0.073 * [taylor]: Taking taylor expansion of N in N 0.073 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.073 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.073 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.073 * [taylor]: Taking taylor expansion of N in N 0.073 * [taylor]: Taking taylor expansion of 1.0 in N 0.073 * [taylor]: Taking taylor expansion of (log N) in N 0.073 * [taylor]: Taking taylor expansion of N in N 0.074 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.074 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.074 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.074 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.074 * [taylor]: Taking taylor expansion of N in N 0.074 * [taylor]: Taking taylor expansion of 1.0 in N 0.075 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.075 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.075 * [taylor]: Taking taylor expansion of N in N 0.075 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.075 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.075 * [taylor]: Taking taylor expansion of (/ 1 N) 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 (/ 1 N)) in N 0.075 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.075 * [taylor]: Taking taylor expansion of N in N 0.077 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.077 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.077 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.077 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.077 * [taylor]: Taking taylor expansion of 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 (log (/ -1 N)) in N 0.077 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.077 * [taylor]: Taking taylor expansion of -1 in N 0.077 * [taylor]: Taking taylor expansion of N in N 0.077 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.077 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.077 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.077 * [taylor]: Taking taylor expansion of 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 (log (/ -1 N)) in N 0.077 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.077 * [taylor]: Taking taylor expansion of -1 in N 0.077 * [taylor]: Taking taylor expansion of N in N 0.079 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.079 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 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 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 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.079 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.079 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.079 * [taylor]: Taking taylor expansion of N in N 0.080 * [taylor]: Taking taylor expansion of 1.0 in N 0.080 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.080 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.080 * [taylor]: Taking taylor expansion of N in N 0.080 * [taylor]: Taking taylor expansion of 1.0 in N 0.080 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.080 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.080 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.080 * [taylor]: Taking taylor expansion of 1.0 in N 0.080 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.080 * [taylor]: Taking taylor expansion of N in N 0.081 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.081 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.081 * [taylor]: Taking taylor expansion of 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 * * * [progress]: simplifying candidates 0.082 * [simplify]: Simplifying using # : (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (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)) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (+ (* 1.0 N) (log 1.0)) (+ (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))) (- (+ (* 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)))) 0.120 * * [simplify]: iteration 0 : 5481 enodes (cost 434 ) 0.122 * [simplify]: Simplified to: (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log N) (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) (log (+ (* N N) (* 1.0 (- 1.0 N))))) (+ (log N) (log (- N 1.0))) (* (log (cbrt (+ N 1.0))) 2) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (* 1.0 (- 1.0 N)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (+ (* N 1.0) (+ (log 1.0) (- (* (* N N) (/ -1/2 (* 1.0 1.0))) (log N)))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N 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) (/ 0.5 (* N N)))) (+ (log N) (- (/ 1.0 N) (/ 0.5 (* N N)))) 0.122 * * * [progress]: adding candidates to table 0.190 * * [progress]: iteration 2 / 4 0.190 * * * [progress]: picking best candidate 0.194 * * * * [pick]: Picked # 0.194 * * * [progress]: localizing error 0.199 * * * [progress]: generating rewritten candidates 0.199 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.203 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.213 * * * [progress]: generating series expansions 0.214 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.214 * [approximate]: Taking taylor expansion of (/ 0.5 (pow N 2)) in (N) around 0 0.214 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 0.214 * [taylor]: Taking taylor expansion of 0.5 in N 0.214 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.214 * [taylor]: Taking taylor expansion of N in N 0.214 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 0.214 * [taylor]: Taking taylor expansion of 0.5 in N 0.214 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.214 * [taylor]: Taking taylor expansion of N in N 0.215 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 0.215 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.215 * [taylor]: Taking taylor expansion of 0.5 in N 0.215 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.215 * [taylor]: Taking taylor expansion of N in N 0.215 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.215 * [taylor]: Taking taylor expansion of 0.5 in N 0.215 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.215 * [taylor]: Taking taylor expansion of N in N 0.216 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 0.216 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.216 * [taylor]: Taking taylor expansion of 0.5 in N 0.216 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.216 * [taylor]: Taking taylor expansion of N in N 0.216 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.216 * [taylor]: Taking taylor expansion of 0.5 in N 0.216 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.216 * [taylor]: Taking taylor expansion of N in N 0.216 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.216 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 0.216 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in N 0.216 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.216 * [taylor]: Taking taylor expansion of 1.0 in N 0.216 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.216 * [taylor]: Taking taylor expansion of N in N 0.217 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 0.217 * [taylor]: Taking taylor expansion of 0.5 in N 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.217 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.217 * [taylor]: Taking taylor expansion of N in N 0.217 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in N 0.217 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.217 * [taylor]: Taking taylor expansion of 1.0 in N 0.217 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.217 * [taylor]: Taking taylor expansion of N in N 0.217 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 0.217 * [taylor]: Taking taylor expansion of 0.5 in N 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.217 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.217 * [taylor]: Taking taylor expansion of N in N 0.219 * [approximate]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in (N) around 0 0.219 * [taylor]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in N 0.219 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.219 * [taylor]: Taking taylor expansion of 1.0 in N 0.219 * [taylor]: Taking taylor expansion of N in N 0.219 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.219 * [taylor]: Taking taylor expansion of 0.5 in N 0.219 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.219 * [taylor]: Taking taylor expansion of N in N 0.219 * [taylor]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in N 0.219 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.219 * [taylor]: Taking taylor expansion of 1.0 in N 0.219 * [taylor]: Taking taylor expansion of N in N 0.219 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.219 * [taylor]: Taking taylor expansion of 0.5 in N 0.219 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.219 * [taylor]: Taking taylor expansion of N in N 0.220 * [approximate]: Taking taylor expansion of (neg (+ (* 0.5 (pow N 2)) (* 1.0 N))) in (N) around 0 0.220 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (pow N 2)) (* 1.0 N))) in N 0.220 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 1.0 N)) in N 0.220 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.220 * [taylor]: Taking taylor expansion of 0.5 in N 0.220 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.220 * [taylor]: Taking taylor expansion of N in N 0.220 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.220 * [taylor]: Taking taylor expansion of 1.0 in N 0.220 * [taylor]: Taking taylor expansion of N in N 0.220 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (pow N 2)) (* 1.0 N))) in N 0.220 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 1.0 N)) in N 0.220 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.220 * [taylor]: Taking taylor expansion of 0.5 in N 0.220 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.220 * [taylor]: Taking taylor expansion of N in N 0.220 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.221 * [taylor]: Taking taylor expansion of 1.0 in N 0.221 * [taylor]: Taking taylor expansion of N in N 0.222 * * * [progress]: simplifying candidates 0.222 * [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))) (/ 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)))) 0.282 * * [simplify]: iteration 0 : 4863 enodes (cost 436 ) 0.282 * * [simplify]: iteration 1 : 4863 enodes (cost 436 ) 0.284 * [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))) (/ 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))) 0.284 * * * [progress]: adding candidates to table 0.329 * * [progress]: iteration 3 / 4 0.329 * * * [progress]: picking best candidate 0.335 * * * * [pick]: Picked # 0.335 * * * [progress]: localizing error 0.345 * * * [progress]: generating rewritten candidates 0.345 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.368 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.372 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 0.376 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.391 * * * [progress]: generating series expansions 0.391 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.391 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 0.391 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in N 0.391 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.392 * [taylor]: Taking taylor expansion of 1.0 in N 0.392 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.392 * [taylor]: Taking taylor expansion of N in N 0.392 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 0.392 * [taylor]: Taking taylor expansion of 0.5 in N 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.392 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.392 * [taylor]: Taking taylor expansion of N in N 0.392 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in N 0.392 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.392 * [taylor]: Taking taylor expansion of 1.0 in N 0.392 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.392 * [taylor]: Taking taylor expansion of N in N 0.392 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 0.392 * [taylor]: Taking taylor expansion of 0.5 in N 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.392 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.392 * [taylor]: Taking taylor expansion of N in N 0.394 * [approximate]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in (N) around 0 0.394 * [taylor]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in N 0.394 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.394 * [taylor]: Taking taylor expansion of 1.0 in N 0.394 * [taylor]: Taking taylor expansion of N in N 0.394 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.394 * [taylor]: Taking taylor expansion of 0.5 in N 0.394 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.394 * [taylor]: Taking taylor expansion of N in N 0.394 * [taylor]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in N 0.394 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.394 * [taylor]: Taking taylor expansion of 1.0 in N 0.394 * [taylor]: Taking taylor expansion of N in N 0.394 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.394 * [taylor]: Taking taylor expansion of 0.5 in N 0.394 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.394 * [taylor]: Taking taylor expansion of N in N 0.396 * [approximate]: Taking taylor expansion of (pow (sqrt (neg (+ (* 0.5 (pow N 2)) (* 1.0 N)))) 2) in (N) around 0 0.396 * [taylor]: Taking taylor expansion of (pow (sqrt (neg (+ (* 0.5 (pow N 2)) (* 1.0 N)))) 2) in N 0.396 * [taylor]: Taking taylor expansion of (sqrt (neg (+ (* 0.5 (pow N 2)) (* 1.0 N)))) in N 0.396 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (pow N 2)) (* 1.0 N))) in N 0.396 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 1.0 N)) in N 0.396 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.396 * [taylor]: Taking taylor expansion of 0.5 in N 0.396 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.396 * [taylor]: Taking taylor expansion of N in N 0.396 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.396 * [taylor]: Taking taylor expansion of 1.0 in N 0.396 * [taylor]: Taking taylor expansion of N in N 0.396 * [taylor]: Taking taylor expansion of (pow (sqrt (neg (+ (* 0.5 (pow N 2)) (* 1.0 N)))) 2) in N 0.396 * [taylor]: Taking taylor expansion of (sqrt (neg (+ (* 0.5 (pow N 2)) (* 1.0 N)))) in N 0.396 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (pow N 2)) (* 1.0 N))) in N 0.396 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 1.0 N)) in N 0.396 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.396 * [taylor]: Taking taylor expansion of 0.5 in N 0.396 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.396 * [taylor]: Taking taylor expansion of N in N 0.396 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.396 * [taylor]: Taking taylor expansion of 1.0 in N 0.396 * [taylor]: Taking taylor expansion of N in N 0.399 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.399 * [approximate]: Taking taylor expansion of (/ 0.5 (pow N 2)) in (N) around 0 0.399 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 0.399 * [taylor]: Taking taylor expansion of 0.5 in N 0.399 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.399 * [taylor]: Taking taylor expansion of N in N 0.399 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 0.399 * [taylor]: Taking taylor expansion of 0.5 in N 0.399 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.399 * [taylor]: Taking taylor expansion of N in N 0.400 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 0.400 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.400 * [taylor]: Taking taylor expansion of 0.5 in N 0.400 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.400 * [taylor]: Taking taylor expansion of N in N 0.400 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.400 * [taylor]: Taking taylor expansion of 0.5 in N 0.400 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.400 * [taylor]: Taking taylor expansion of N in N 0.401 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 0.401 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.401 * [taylor]: Taking taylor expansion of 0.5 in N 0.401 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.401 * [taylor]: Taking taylor expansion of N in N 0.401 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.401 * [taylor]: Taking taylor expansion of 0.5 in N 0.401 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.401 * [taylor]: Taking taylor expansion of N in N 0.401 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 0.401 * [approximate]: Taking taylor expansion of (/ 0.5 (pow N 2)) in (N) around 0 0.401 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 0.401 * [taylor]: Taking taylor expansion of 0.5 in N 0.402 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.402 * [taylor]: Taking taylor expansion of N in N 0.402 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 0.402 * [taylor]: Taking taylor expansion of 0.5 in N 0.402 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.402 * [taylor]: Taking taylor expansion of N in N 0.402 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 0.402 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.402 * [taylor]: Taking taylor expansion of 0.5 in N 0.402 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.402 * [taylor]: Taking taylor expansion of N in N 0.403 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.403 * [taylor]: Taking taylor expansion of 0.5 in N 0.403 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.403 * [taylor]: Taking taylor expansion of N in N 0.403 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 0.403 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.403 * [taylor]: Taking taylor expansion of 0.5 in N 0.403 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.403 * [taylor]: Taking taylor expansion of N in N 0.403 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.403 * [taylor]: Taking taylor expansion of 0.5 in N 0.403 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.403 * [taylor]: Taking taylor expansion of N in N 0.404 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.404 * [approximate]: Taking taylor expansion of (sqrt (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2))))) in (N) around 0 0.404 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2))))) in N 0.404 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in N 0.404 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.404 * [taylor]: Taking taylor expansion of 1.0 in N 0.404 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.404 * [taylor]: Taking taylor expansion of N in N 0.404 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 0.404 * [taylor]: Taking taylor expansion of 0.5 in N 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.404 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.404 * [taylor]: Taking taylor expansion of N in N 0.404 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2))))) in N 0.405 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in N 0.405 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.405 * [taylor]: Taking taylor expansion of 1.0 in N 0.405 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.405 * [taylor]: Taking taylor expansion of N in N 0.405 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 0.405 * [taylor]: Taking taylor expansion of 0.5 in N 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.405 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.405 * [taylor]: Taking taylor expansion of N in N 0.405 * [approximate]: Taking taylor expansion of (sqrt (- (* 1.0 N) (* 0.5 (pow N 2)))) in (N) around 0 0.405 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 N) (* 0.5 (pow N 2)))) in N 0.406 * [taylor]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in N 0.406 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.406 * [taylor]: Taking taylor expansion of 1.0 in N 0.406 * [taylor]: Taking taylor expansion of N in N 0.406 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.406 * [taylor]: Taking taylor expansion of 0.5 in N 0.406 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.406 * [taylor]: Taking taylor expansion of N in N 0.406 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 N) (* 0.5 (pow N 2)))) in N 0.406 * [taylor]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in N 0.406 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.406 * [taylor]: Taking taylor expansion of 1.0 in N 0.406 * [taylor]: Taking taylor expansion of N in N 0.406 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.406 * [taylor]: Taking taylor expansion of 0.5 in N 0.406 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.406 * [taylor]: Taking taylor expansion of N in N 0.407 * [approximate]: Taking taylor expansion of (sqrt (neg (+ (* 0.5 (pow N 2)) (* 1.0 N)))) in (N) around 0 0.407 * [taylor]: Taking taylor expansion of (sqrt (neg (+ (* 0.5 (pow N 2)) (* 1.0 N)))) in N 0.407 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (pow N 2)) (* 1.0 N))) in N 0.407 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 1.0 N)) in N 0.407 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.407 * [taylor]: Taking taylor expansion of 0.5 in N 0.407 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.407 * [taylor]: Taking taylor expansion of N in N 0.407 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.407 * [taylor]: Taking taylor expansion of 1.0 in N 0.407 * [taylor]: Taking taylor expansion of N in N 0.407 * [taylor]: Taking taylor expansion of (sqrt (neg (+ (* 0.5 (pow N 2)) (* 1.0 N)))) in N 0.407 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (pow N 2)) (* 1.0 N))) in N 0.407 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 1.0 N)) in N 0.407 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.407 * [taylor]: Taking taylor expansion of 0.5 in N 0.407 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.407 * [taylor]: Taking taylor expansion of N in N 0.408 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.408 * [taylor]: Taking taylor expansion of 1.0 in N 0.408 * [taylor]: Taking taylor expansion of N in N 0.409 * * * [progress]: simplifying candidates 0.414 * [simplify]: Simplifying using # : (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (- (/ 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) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ 1 1) (+ (log (sqrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (log (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))))) (log (* (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))))) (exp (* (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))))) (* (* (* (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (* (* (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))))) (* (cbrt (* (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))))) (cbrt (* (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N))))))) (cbrt (* (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))))) (* (* (* (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (* (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (- (/ 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) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (* (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))))) (sqrt (* (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))))) (* (sqrt (- (* 1.0 (* N N)) (* N 0.5))) (sqrt (- (* 1.0 (* N N)) (* N 0.5)))) (* (sqrt (* N (* N N))) (sqrt (* N (* N N)))) (* (sqrt (- (* 1.0 (* N N)) (* N 0.5))) (sqrt (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)))) (* (sqrt (* N (* N N))) (sqrt (+ (* (/ 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 N)) (* N 0.5))) (sqrt (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))))) (* (sqrt (* N (* N N))) (sqrt (+ (/ 1.0 N) (/ 0.5 (* N N))))) (* (sqrt (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3))) (sqrt (- (* 1.0 (* N N)) (* N 0.5)))) (* (sqrt (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N)))))) (sqrt (* N (* N N)))) (* (sqrt (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3))) (sqrt (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)))) (* (sqrt (+ (* (/ 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) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N))))))) (* (sqrt (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3))) (sqrt (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))))) (* (sqrt (+ (* (/ 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) (/ 0.5 (* N N))))) (* (sqrt (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N))))) (sqrt (- (* 1.0 (* N N)) (* N 0.5)))) (* (sqrt (+ (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (* N (* N N)))) (* (sqrt (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N))))) (sqrt (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)))) (* (sqrt (+ (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (+ (* (/ 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) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N))))) (sqrt (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))))) (* (sqrt (+ (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (+ (/ 1.0 N) (/ 0.5 (* N N))))) (* (* (cbrt (sqrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))))) (* (cbrt (sqrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (sqrt (- (/ 1.0 N) (/ 0.5 (* N N))))))) (* (cbrt (sqrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))))) (* (sqrt (* (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))))) (sqrt (* (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))))) (* (sqrt (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (sqrt (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))))) (* (sqrt (sqrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (sqrt (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))))) (* (sqrt (sqrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (sqrt (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))))) (* (sqrt (sqrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (sqrt (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))))) (* (sqrt (sqrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (sqrt (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (* (sqrt (+ (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N))))) (sqrt (+ (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N)))))) (* (sqrt (- (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N))))) (sqrt (- (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N)))))) (* (sqrt (+ (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N))) (sqrt (+ (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)))) (* (sqrt (- (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N))) (sqrt (- (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)))) (* (sqrt (+ (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N))))) (sqrt (+ (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N)))))) (* (sqrt (- (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N))))) (sqrt (- (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N)))))) (* (sqrt (+ (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N))) (sqrt (+ (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N)))) (* (sqrt (- (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N))) (sqrt (- (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (* (sqrt (sqrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (sqrt (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))))) (* (sqrt (sqrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (sqrt (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))))) (* (sqrt (sqrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (sqrt (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))))) (* (sqrt (sqrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (sqrt (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))))) (* 1 1) (* (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (* (sqrt (sqrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (sqrt (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))))) (* (sqrt (sqrt (- (/ 1.0 N) (/ 0.5 (* N 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N N)) (* (/ N 0.5) N) (/ 0.5 N) (* (/ N (cbrt 0.5)) N) (* (/ N (sqrt 0.5)) N) (* (/ N 0.5) N) (log (sqrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (exp (sqrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (* (cbrt (sqrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))))) (cbrt (sqrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (pow (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) 3) (fabs (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (sqrt (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (sqrt (sqrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (sqrt (sqrt (- (/ 1.0 N) (/ 0.5 (* N N))))) 1 (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (+ (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N))))) (sqrt (- (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N))))) (sqrt (+ (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N))) (sqrt (- (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N))) (sqrt (+ (sqrt (/ 0.5 (* N N))) (/ (sqrt 1.0) (sqrt N)))) (sqrt (- (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N))))) (sqrt (+ (/ (sqrt 0.5) N) (/ (sqrt 1.0) (sqrt N)))) (sqrt (- (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N))) 1 (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (* N (- (* 1.0 N) 0.5))) (sqrt (pow N 3)) (sqrt (- (pow (/ 1.0 N) 3) (/ (pow 0.5 3) (pow N 6)))) (sqrt (+ (/ 0.5 (/ (pow N 4) 0.5)) (* (/ 1.0 N) (+ (/ 1.0 N) (/ 0.5 (* N N)))))) (sqrt (- (* (/ 1.0 N) (/ 1.0 N)) (/ 0.5 (/ (pow N 4) 0.5)))) (sqrt (+ (/ 1.0 N) (/ 0.5 (* N N)))) 1/2 (sqrt (sqrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (sqrt (sqrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))) (+ (* 5 (/ (pow NAN 6) (pow N 4))) (+ (* 3.0 (/ (pow NAN 4) (pow N 4))) (+ (* (+ (/ 0.25 (* N N)) 1) (* (/ NAN N) (/ NAN N))) (- (* (/ (pow NAN 4) (pow N 3)) -2) (* 1.0 (/ NAN (/ (pow N 3) NAN))))))) (/ 0.5 (* N N)) (/ 0.5 (* N N)) (/ 0.5 (* N N)) (/ 0.5 (* N N)) (/ 0.5 (* N N)) (/ 0.5 (* N N)) (+ (/ 0.5 (sqrt (neg 0.5))) (- (/ (sqrt (neg 0.5)) N) (* 0.125 (/ N (pow (sqrt (neg 0.5)) 3))))) (+ (/ (pow NAN 3) (* N N)) (+ (* 2 (/ (pow NAN 5) (pow N 3))) (+ (* (+ (/ 0.5 N) 1) (/ NAN N)) (* 1.0 (pow (/ NAN N) 3))))) (+ (* (/ NAN N) (+ (/ NAN (/ N NAN)) (/ 0.5 N))) (- (* (/ (pow NAN 5) (pow N 3)) -2) (+ (* 1.0 (pow (/ NAN N) 3)) (/ NAN N)))) 0.445 * * * [progress]: adding candidates to table 0.644 * * [progress]: iteration 4 / 4 0.645 * * * [progress]: picking best candidate 0.648 * * * * [pick]: Picked # 0.649 * * * [progress]: localizing error 0.653 * * * [progress]: generating rewritten candidates 0.653 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.659 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.666 * * * [progress]: generating series expansions 0.666 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.666 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.666 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.666 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.666 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.666 * [taylor]: Taking taylor expansion of N in N 0.666 * [taylor]: Taking taylor expansion of 1.0 in N 0.666 * [taylor]: Taking taylor expansion of N in N 0.666 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.666 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.666 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.666 * [taylor]: Taking taylor expansion of N in N 0.666 * [taylor]: Taking taylor expansion of 1.0 in N 0.666 * [taylor]: Taking taylor expansion of N in N 0.667 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.667 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.667 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.667 * [taylor]: Taking taylor expansion of N in N 0.667 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.667 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.667 * [taylor]: Taking taylor expansion of N in N 0.667 * [taylor]: Taking taylor expansion of 1.0 in N 0.667 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.667 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.667 * [taylor]: Taking taylor expansion of N in N 0.667 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.667 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.667 * [taylor]: Taking taylor expansion of N in N 0.667 * [taylor]: Taking taylor expansion of 1.0 in N 0.668 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.668 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.668 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.668 * [taylor]: Taking taylor expansion of -1 in N 0.668 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.668 * [taylor]: Taking taylor expansion of N in N 0.668 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.668 * [taylor]: Taking taylor expansion of 1.0 in N 0.668 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.668 * [taylor]: Taking taylor expansion of N in N 0.668 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.668 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.668 * [taylor]: Taking taylor expansion of -1 in N 0.668 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.668 * [taylor]: Taking taylor expansion of N in N 0.669 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.669 * [taylor]: Taking taylor expansion of 1.0 in N 0.669 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.669 * [taylor]: Taking taylor expansion of N in N 0.669 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.669 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.669 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.670 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.670 * [taylor]: Taking taylor expansion of N in N 0.670 * [taylor]: Taking taylor expansion of 1.0 in N 0.670 * [taylor]: Taking taylor expansion of N in N 0.670 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.670 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.670 * [taylor]: Taking taylor expansion of N in N 0.670 * [taylor]: Taking taylor expansion of 1.0 in N 0.670 * [taylor]: Taking taylor expansion of N in N 0.670 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.670 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.670 * [taylor]: Taking taylor expansion of N in N 0.670 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.670 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.670 * [taylor]: Taking taylor expansion of N in N 0.670 * [taylor]: Taking taylor expansion of 1.0 in N 0.670 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.671 * [taylor]: Taking taylor expansion of N in N 0.671 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.671 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.671 * [taylor]: Taking taylor expansion of N in N 0.671 * [taylor]: Taking taylor expansion of 1.0 in N 0.672 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.672 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.672 * [taylor]: Taking taylor expansion of -1 in N 0.672 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.672 * [taylor]: Taking taylor expansion of N in N 0.672 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.672 * [taylor]: Taking taylor expansion of 1.0 in N 0.672 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.672 * [taylor]: Taking taylor expansion of N in N 0.672 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.672 * [taylor]: Taking taylor expansion of -1 in N 0.672 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.672 * [taylor]: Taking taylor expansion of N in N 0.672 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.672 * [taylor]: Taking taylor expansion of 1.0 in N 0.672 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.672 * [taylor]: Taking taylor expansion of N in N 0.674 * * * [progress]: simplifying candidates 0.674 * [simplify]: Simplifying using # : (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (neg (+ N 1.0)) (neg N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.710 * * [simplify]: iteration 0 : 4970 enodes (cost 619 ) 0.710 * * [simplify]: iteration 1 : 4970 enodes (cost 619 ) 0.713 * [simplify]: Simplified to: (* (log (cbrt (+ 1 (/ 1.0 N)))) 2) (log (cbrt (+ 1 (/ 1.0 N)))) (log (sqrt (+ 1 (/ 1.0 N)))) (log (sqrt (+ 1 (/ 1.0 N)))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (- (* 2 (log (cbrt (+ N 1.0)))) (log (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (+ (log (sqrt (+ N 1.0))) (* (log (cbrt N)) -2)) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (* (log (cbrt N)) -2) (log (/ (+ N 1.0) (cbrt N))) (neg (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log 1) (log (+ 1 (/ 1.0 N))) (* (log (cbrt N)) -2) (log (/ (+ N 1.0) (cbrt N))) (neg (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log 1) (log (+ 1 (/ 1.0 N))) (log 1) (log (+ 1 (/ 1.0 N))) (log (+ N 1.0)) (neg (log N)) (log (+ N 1.0)) (log N) (log (+ 1 (/ 1.0 N))) (log (log (+ 1 (/ 1.0 N)))) (+ 1 (/ 1.0 N)) (* (cbrt (log (+ 1 (/ 1.0 N)))) (cbrt (log (+ 1 (/ 1.0 N))))) (cbrt (log (+ 1 (/ 1.0 N)))) (pow (log (+ 1 (/ 1.0 N))) 3) (sqrt (log (+ 1 (/ 1.0 N)))) (sqrt (log (+ 1 (/ 1.0 N)))) (log (+ 1 (/ 1.0 N))) (log (+ 1 (/ 1.0 N))) (exp (+ 1 (/ 1.0 N))) (pow (+ 1 (/ 1.0 N)) 3) (* (cbrt (+ 1 (/ 1.0 N))) (cbrt (+ 1 (/ 1.0 N)))) (cbrt (+ 1 (/ 1.0 N))) (pow (+ 1 (/ 1.0 N)) 3) (sqrt (+ 1 (/ 1.0 N))) (sqrt (+ 1 (/ 1.0 N))) (- (neg N) 1.0) (neg N) (* (cbrt (+ N 1.0)) (/ (cbrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (/ (cbrt (+ N 1.0)) (cbrt N)) (* (cbrt (+ N 1.0)) (/ (cbrt (+ N 1.0)) (sqrt N))) (/ (cbrt (+ N 1.0)) (sqrt N)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (+ 1 (/ 1.0 N)) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (+ 1 (/ 1.0 N)) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (+ N 1.0) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (+ (pow N 3) (* N (* 1.0 (- 1.0 N)))) (* N (- N 1.0)) (+ (* N 1.0) (+ (log 1.0) (- (* (* (/ N 1.0) (/ N 1.0)) -1/2) (log N)))) (+ (log 1) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (log 1) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ 1 (/ 1.0 N)) (+ 1 (/ 1.0 N)) (+ 1 (/ 1.0 N)) 0.713 * * * [progress]: adding candidates to table 0.786 * [progress]: [Phase 3 of 3] Extracting. 0.786 * * [regime]: Finding splitpoints for: (# # # # # #) 0.787 * * * [regime-changes]: Trying 1 branch expressions: (N) 0.787 * * * * [regimes]: Trying to branch on N from (# # # # # #) 0.826 * * * [regime]: Found split indices: #