22.502 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.082 * * * [progress]: [2/2] Setting up program.
0.085 * [progress]: [Phase 2 of 3] Improving.
0.085 * [simplify]: Simplifying:
  (- (log (+ N 1.0)) (log N))
0.085 * * [simplify]: iteration 0: 6 enodes
0.086 * * [simplify]: iteration 1: 9 enodes
0.087 * * [simplify]: iteration 2: 10 enodes
0.088 * * [simplify]: iteration complete: 10 enodes
0.088 * * [simplify]: Extracting #0: cost 1 inf + 0
0.088 * * [simplify]: Extracting #1: cost 4 inf + 0
0.088 * * [simplify]: Extracting #2: cost 6 inf + 0
0.088 * * [simplify]: Extracting #3: cost 6 inf + 1
0.088 * * [simplify]: Extracting #4: cost 0 inf + 560
0.088 * [simplify]: Simplified to:
  (- (log (+ 1.0 N)) (log N))
0.089 * * [progress]: iteration 1 / 4
0.089 * * * [progress]: picking best candidate
0.092 * * * * [pick]: Picked  #<alt (λ (N) (- (log (+ N 1.0)) (log N)))>
0.092 * * * [progress]: localizing error
0.127 * * * [progress]: generating rewritten candidates
0.127 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1)
0.136 * * * * [progress]: [ 2 / 2 ] rewriting at (2)
0.162 * * * [progress]: generating series expansions
0.162 * * * * [progress]: [ 1 / 2 ] generating series at (2 1)
0.167 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0))
0.167 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0
0.168 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N
0.168 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.168 * [taylor]: Taking taylor expansion of N in N
0.169 * [backup-simplify]: Simplify 0 into 0
0.169 * [backup-simplify]: Simplify 1 into 1
0.169 * [taylor]: Taking taylor expansion of 1.0 in N
0.169 * [backup-simplify]: Simplify 1.0 into 1.0
0.170 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.170 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
0.170 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N
0.170 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.170 * [taylor]: Taking taylor expansion of N in N
0.170 * [backup-simplify]: Simplify 0 into 0
0.170 * [backup-simplify]: Simplify 1 into 1
0.170 * [taylor]: Taking taylor expansion of 1.0 in N
0.170 * [backup-simplify]: Simplify 1.0 into 1.0
0.170 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.171 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
0.171 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
0.172 * [backup-simplify]: Simplify (+ 1 0) into 1
0.176 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0
0.176 * [backup-simplify]: Simplify 1.0 into 1.0
0.177 * [backup-simplify]: Simplify (+ 0 0) into 0
0.185 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2))
0.186 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2))
0.187 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2))))
0.187 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0))
0.187 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0
0.187 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N
0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.188 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.188 * [taylor]: Taking taylor expansion of N in N
0.188 * [backup-simplify]: Simplify 0 into 0
0.188 * [backup-simplify]: Simplify 1 into 1
0.188 * [backup-simplify]: Simplify (/ 1 1) into 1
0.188 * [taylor]: Taking taylor expansion of 1.0 in N
0.188 * [backup-simplify]: Simplify 1.0 into 1.0
0.188 * [backup-simplify]: Simplify (+ 1 0) into 1
0.189 * [backup-simplify]: Simplify (log 1) into 0
0.189 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N
0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.189 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.189 * [taylor]: Taking taylor expansion of N in N
0.189 * [backup-simplify]: Simplify 0 into 0
0.189 * [backup-simplify]: Simplify 1 into 1
0.189 * [backup-simplify]: Simplify (/ 1 1) into 1
0.189 * [taylor]: Taking taylor expansion of 1.0 in N
0.189 * [backup-simplify]: Simplify 1.0 into 1.0
0.189 * [backup-simplify]: Simplify (+ 1 0) into 1
0.190 * [backup-simplify]: Simplify (log 1) into 0
0.190 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
0.190 * [backup-simplify]: Simplify (- (log N)) into (- (log N))
0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.191 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.194 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
0.194 * [backup-simplify]: Simplify 1.0 into 1.0
0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.195 * [backup-simplify]: Simplify (+ 0 0) into 0
0.205 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5
0.205 * [backup-simplify]: Simplify -0.5 into -0.5
0.205 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 N)) (- (log (/ 1 N))))) into (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N))))
0.205 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N)))
0.205 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0
0.205 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N
0.205 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.205 * [taylor]: Taking taylor expansion of 1.0 in N
0.205 * [backup-simplify]: Simplify 1.0 into 1.0
0.205 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.205 * [taylor]: Taking taylor expansion of N in N
0.205 * [backup-simplify]: Simplify 0 into 0
0.205 * [backup-simplify]: Simplify 1 into 1
0.206 * [backup-simplify]: Simplify (/ 1 1) into 1
0.206 * [backup-simplify]: Simplify (- 1) into -1
0.206 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.206 * [backup-simplify]: Simplify (log -1) into (log -1)
0.206 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N
0.206 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.206 * [taylor]: Taking taylor expansion of 1.0 in N
0.206 * [backup-simplify]: Simplify 1.0 into 1.0
0.206 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.207 * [taylor]: Taking taylor expansion of N in N
0.207 * [backup-simplify]: Simplify 0 into 0
0.207 * [backup-simplify]: Simplify 1 into 1
0.207 * [backup-simplify]: Simplify (/ 1 1) into 1
0.207 * [backup-simplify]: Simplify (- 1) into -1
0.207 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.207 * [backup-simplify]: Simplify (log -1) into (log -1)
0.208 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
0.208 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N))
0.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.209 * [backup-simplify]: Simplify (- 0) into 0
0.209 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.213 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0
0.213 * [backup-simplify]: Simplify -1.0 into -1.0
0.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.214 * [backup-simplify]: Simplify (- 0) into 0
0.214 * [backup-simplify]: Simplify (+ 0 0) into 0
0.557 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5
0.557 * [backup-simplify]: Simplify -0.5 into -0.5
0.558 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 (- N)) 2)) (+ (* -1.0 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N))))
0.558 * * * * [progress]: [ 2 / 2 ] generating series at (2)
0.558 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N))
0.558 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0
0.558 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N
0.558 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N
0.558 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.558 * [taylor]: Taking taylor expansion of N in N
0.558 * [backup-simplify]: Simplify 0 into 0
0.558 * [backup-simplify]: Simplify 1 into 1
0.558 * [taylor]: Taking taylor expansion of 1.0 in N
0.558 * [backup-simplify]: Simplify 1.0 into 1.0
0.558 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.559 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
0.559 * [taylor]: Taking taylor expansion of (log N) in N
0.559 * [taylor]: Taking taylor expansion of N in N
0.559 * [backup-simplify]: Simplify 0 into 0
0.559 * [backup-simplify]: Simplify 1 into 1
0.559 * [backup-simplify]: Simplify (log 1) into 0
0.559 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N
0.559 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N
0.559 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.559 * [taylor]: Taking taylor expansion of N in N
0.559 * [backup-simplify]: Simplify 0 into 0
0.559 * [backup-simplify]: Simplify 1 into 1
0.559 * [taylor]: Taking taylor expansion of 1.0 in N
0.559 * [backup-simplify]: Simplify 1.0 into 1.0
0.559 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.559 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
0.559 * [taylor]: Taking taylor expansion of (log N) in N
0.560 * [taylor]: Taking taylor expansion of N in N
0.560 * [backup-simplify]: Simplify 0 into 0
0.560 * [backup-simplify]: Simplify 1 into 1
0.560 * [backup-simplify]: Simplify (log 1) into 0
0.560 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N)
0.560 * [backup-simplify]: Simplify (- (log N)) into (- (log N))
0.560 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N))
0.561 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N))
0.561 * [backup-simplify]: Simplify (+ 1 0) into 1
0.564 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0
0.565 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
0.565 * [backup-simplify]: Simplify (- 0) into 0
0.565 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.565 * [backup-simplify]: Simplify 1.0 into 1.0
0.565 * [backup-simplify]: Simplify (+ 0 0) into 0
0.571 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2))
0.572 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
0.573 * [backup-simplify]: Simplify (- 0) into 0
0.574 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2))))
0.575 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2))))
0.577 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N)))
0.578 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N)))
0.578 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0
0.578 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N
0.578 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N
0.578 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.578 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.578 * [taylor]: Taking taylor expansion of N in N
0.578 * [backup-simplify]: Simplify 0 into 0
0.578 * [backup-simplify]: Simplify 1 into 1
0.578 * [backup-simplify]: Simplify (/ 1 1) into 1
0.578 * [taylor]: Taking taylor expansion of 1.0 in N
0.578 * [backup-simplify]: Simplify 1.0 into 1.0
0.578 * [backup-simplify]: Simplify (+ 1 0) into 1
0.578 * [backup-simplify]: Simplify (log 1) into 0
0.579 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
0.579 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.579 * [taylor]: Taking taylor expansion of N in N
0.579 * [backup-simplify]: Simplify 0 into 0
0.579 * [backup-simplify]: Simplify 1 into 1
0.579 * [backup-simplify]: Simplify (/ 1 1) into 1
0.579 * [backup-simplify]: Simplify (log 1) into 0
0.579 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N
0.579 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N
0.579 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.579 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.579 * [taylor]: Taking taylor expansion of N in N
0.579 * [backup-simplify]: Simplify 0 into 0
0.579 * [backup-simplify]: Simplify 1 into 1
0.579 * [backup-simplify]: Simplify (/ 1 1) into 1
0.579 * [taylor]: Taking taylor expansion of 1.0 in N
0.579 * [backup-simplify]: Simplify 1.0 into 1.0
0.580 * [backup-simplify]: Simplify (+ 1 0) into 1
0.580 * [backup-simplify]: Simplify (log 1) into 0
0.580 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N
0.580 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.580 * [taylor]: Taking taylor expansion of N in N
0.580 * [backup-simplify]: Simplify 0 into 0
0.580 * [backup-simplify]: Simplify 1 into 1
0.580 * [backup-simplify]: Simplify (/ 1 1) into 1
0.580 * [backup-simplify]: Simplify (log 1) into 0
0.581 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
0.581 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
0.581 * [backup-simplify]: Simplify (- (- (log N))) into (log N)
0.581 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0
0.581 * [backup-simplify]: Simplify 0 into 0
0.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.582 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.585 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
0.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.587 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
0.587 * [backup-simplify]: Simplify (- 0) into 0
0.587 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.587 * [backup-simplify]: Simplify 1.0 into 1.0
0.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.588 * [backup-simplify]: Simplify (+ 0 0) into 0
0.598 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5
0.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.602 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
0.602 * [backup-simplify]: Simplify (- 0) into 0
0.603 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5)
0.603 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
0.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.605 * [backup-simplify]: Simplify (+ 0 0) into 0
0.620 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333
0.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.623 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
0.624 * [backup-simplify]: Simplify (- 0) into 0
0.624 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333
0.624 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.625 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))
0.625 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N)))
0.625 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0
0.625 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N
0.625 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N
0.625 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.625 * [taylor]: Taking taylor expansion of 1.0 in N
0.625 * [backup-simplify]: Simplify 1.0 into 1.0
0.625 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.625 * [taylor]: Taking taylor expansion of N in N
0.625 * [backup-simplify]: Simplify 0 into 0
0.625 * [backup-simplify]: Simplify 1 into 1
0.625 * [backup-simplify]: Simplify (/ 1 1) into 1
0.625 * [backup-simplify]: Simplify (- 1) into -1
0.626 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.626 * [backup-simplify]: Simplify (log -1) into (log -1)
0.626 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N
0.626 * [taylor]: Taking taylor expansion of (/ -1 N) in N
0.626 * [taylor]: Taking taylor expansion of -1 in N
0.626 * [backup-simplify]: Simplify -1 into -1
0.626 * [taylor]: Taking taylor expansion of N in N
0.626 * [backup-simplify]: Simplify 0 into 0
0.626 * [backup-simplify]: Simplify 1 into 1
0.626 * [backup-simplify]: Simplify (/ -1 1) into -1
0.627 * [backup-simplify]: Simplify (log -1) into (log -1)
0.627 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N
0.627 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N
0.627 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.627 * [taylor]: Taking taylor expansion of 1.0 in N
0.627 * [backup-simplify]: Simplify 1.0 into 1.0
0.627 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.627 * [taylor]: Taking taylor expansion of N in N
0.627 * [backup-simplify]: Simplify 0 into 0
0.627 * [backup-simplify]: Simplify 1 into 1
0.627 * [backup-simplify]: Simplify (/ 1 1) into 1
0.627 * [backup-simplify]: Simplify (- 1) into -1
0.628 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.628 * [backup-simplify]: Simplify (log -1) into (log -1)
0.628 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N
0.628 * [taylor]: Taking taylor expansion of (/ -1 N) in N
0.628 * [taylor]: Taking taylor expansion of -1 in N
0.628 * [backup-simplify]: Simplify -1 into -1
0.628 * [taylor]: Taking taylor expansion of N in N
0.628 * [backup-simplify]: Simplify 0 into 0
0.628 * [backup-simplify]: Simplify 1 into 1
0.628 * [backup-simplify]: Simplify (/ -1 1) into -1
0.628 * [backup-simplify]: Simplify (log -1) into (log -1)
0.629 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
0.629 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
0.630 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1))
0.630 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0
0.630 * [backup-simplify]: Simplify 0 into 0
0.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.631 * [backup-simplify]: Simplify (- 0) into 0
0.631 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.635 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0
0.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.636 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
0.637 * [backup-simplify]: Simplify (- 0) into 0
0.637 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0)
0.637 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.638 * [backup-simplify]: Simplify (- 0) into 0
0.638 * [backup-simplify]: Simplify (+ 0 0) into 0
0.644 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5
0.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.648 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
0.648 * [backup-simplify]: Simplify (- 0) into 0
0.649 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5)
0.649 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
0.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.651 * [backup-simplify]: Simplify (- 0) into 0
0.651 * [backup-simplify]: Simplify (+ 0 0) into 0
0.667 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -0.3333333333333333
0.668 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.671 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0
0.671 * [backup-simplify]: Simplify (- 0) into 0
0.671 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333)
0.672 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333)
0.673 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))
0.673 * * * [progress]: simplifying candidates
0.674 * [simplify]: Simplifying:
  (expm1 (log (+ N 1.0)))
  (log1p (log (+ N 1.0)))
  (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)))
  (fma 1 (log (+ N 1.0)) (- (* (log N) 1)))
  (fma (- (log N)) 1 (* (log N) 1))
  (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))
  (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))
  (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N)))))
  (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N))))
  (fma 1 (log (+ N 1.0)) (- (* (log N) 1)))
  (fma (- (log N)) 1 (* (log N) 1))
  (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1)))
  (fma (- (log N)) 1 (* (log N) 1))
  (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))
  (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))
  (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N)))))
  (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N))))
  (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1)))
  (fma (- (log N)) 1 (* (log N) 1))
  (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1)))
  (fma (- (log N)) 1 (* (log N) 1))
  (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))
  (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))
  (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N)))))
  (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N))))
  (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1)))
  (fma (- (log N)) 1 (* (log N) 1))
  (fma 1 (log (+ N 1.0)) (- (* (log N) 1)))
  (fma (- (log N)) 1 (* (log N) 1))
  (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))
  (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))
  (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N)))))
  (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N))))
  (fma 1 (log (+ N 1.0)) (- (* (log N) 1)))
  (fma (- (log N)) 1 (* (log N) 1))
  (expm1 (- (log (+ N 1.0)) (log N)))
  (log1p (- (log (+ N 1.0)) (log N)))
  (- (log N))
  (- (log N))
  (- (log N))
  (- (log N))
  (/ (+ N 1.0) N)
  (log (- (log (+ N 1.0)) (log N)))
  (exp (- (log (+ N 1.0)) (log N)))
  (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N))))
  (cbrt (- (log (+ N 1.0)) (log N)))
  (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N)))
  (sqrt (- (log (+ N 1.0)) (log N)))
  (sqrt (- (log (+ N 1.0)) (log N)))
  (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))
  (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N))))
  (- (log N))
  (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))
  (+ (log (+ N 1.0)) (log N))
  (+ (sqrt (log (+ N 1.0))) (sqrt (log N)))
  (- (sqrt (log (+ N 1.0))) (sqrt (log N)))
  (- (log (+ N 1.0)) (log N))
  (- (log (+ N 1.0)) (log N))
  (- (log (+ N 1.0)) (log N))
  (- (log (+ N 1.0)) (log N))
  (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N))))
  (- (log (+ N 1.0)) (log (sqrt N)))
  (- (log (+ N 1.0)) (log 1))
  (- (log (cbrt (+ N 1.0))) (log N))
  (- (log (sqrt (+ N 1.0))) (log N))
  (- (log (+ N 1.0)) (log N))
  (- (log (+ N 1.0)) (log N))
  (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N))
  (+ (log (- N 1.0)) (log N))
  (- (log N))
  (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2))))
  (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N))))
  (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N))))
  (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N)))
  (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))
  (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))
0.675 * * [simplify]: iteration 0: 127 enodes
0.702 * * [simplify]: iteration 1: 287 enodes
0.831 * * [simplify]: iteration 2: 1090 enodes
1.727 * * [simplify]: iteration complete: 5001 enodes
1.727 * * [simplify]: Extracting #0: cost 45 inf + 0
1.730 * * [simplify]: Extracting #1: cost 853 inf + 1
1.734 * * [simplify]: Extracting #2: cost 1499 inf + 1417
1.745 * * [simplify]: Extracting #3: cost 1056 inf + 74499
1.780 * * [simplify]: Extracting #4: cost 262 inf + 227569
1.827 * * [simplify]: Extracting #5: cost 39 inf + 285451
1.884 * * [simplify]: Extracting #6: cost 4 inf + 293803
1.953 * * [simplify]: Extracting #7: cost 0 inf + 294815
2.010 * [simplify]: Simplified to:
  (expm1 (log (+ N 1.0)))
  (log1p (log (+ N 1.0)))
  (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))
  (log (cbrt (+ N 1.0)))
  (log (sqrt (+ N 1.0)))
  (log (sqrt (+ N 1.0)))
  0
  (log (+ N 1.0))
  0
  (log (+ N 1.0))
  (log (fma (* 1.0 1.0) 1.0 (* N (* N N))))
  (log (fma 1.0 (- 1.0 N) (* N N)))
  (log (* (+ N 1.0) (- N 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)))
  (* (log (+ N 1.0)) (* (log (+ N 1.0)) (log (+ N 1.0))))
  (sqrt (log (+ N 1.0)))
  (sqrt (log (+ N 1.0)))
  (- (log (+ N 1.0)) (log N))
  0
  (- (log (+ N 1.0)) (log N))
  0
  (- (log (+ N 1.0)) (log N))
  0
  (- (log (+ N 1.0)) (log N))
  0
  (- (* (cbrt (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0))))) (log N))
  0
  (- (* (cbrt (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0))))) (log N))
  0
  (- (* (cbrt (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0))))) (log N))
  0
  (- (* (cbrt (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0))))) (log N))
  0
  (- (log (+ N 1.0)) (log N))
  0
  (- (log (+ N 1.0)) (log N))
  0
  (- (log (+ N 1.0)) (log N))
  0
  (- (log (+ N 1.0)) (log N))
  0
  (- (log (+ N 1.0)) (log N))
  0
  (- (log (+ N 1.0)) (log N))
  0
  (- (log (+ N 1.0)) (log N))
  0
  (- (log (+ N 1.0)) (log N))
  0
  (expm1 (- (log (+ N 1.0)) (log N)))
  (log1p (- (log (+ N 1.0)) (log N)))
  (- (log N))
  (- (log N))
  (- (log N))
  (- (log N))
  (/ (+ 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)))
  (* (- (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)))
  (- (* (log (+ N 1.0)) (* (log (+ N 1.0)) (log (+ N 1.0)))) (* (* (log N) (log N)) (log N)))
  (fma (log N) (+ (log (+ N 1.0)) (log N)) (* (log (+ N 1.0)) (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)) (sqrt (log (+ N 1.0))))
  (- (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)) (log (cbrt N))))
  (- (log (+ N 1.0)) (log (sqrt N)))
  (log (+ N 1.0))
  (- (log (cbrt (+ N 1.0))) (log N))
  (- (log (sqrt (+ N 1.0))) (log N))
  (- (log (+ N 1.0)) (log N))
  (- (log (+ N 1.0)) (log N))
  (+ (log N) (log (fma 1.0 (- 1.0 N) (* N N))))
  (+ (log N) (log (- N 1.0)))
  (- (log N))
  (fma (* (/ N 1.0) (/ N 1.0)) -1/2 (fma 1.0 N (log 1.0)))
  (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N)))
  (- (fma (/ 1 N) 1.0 (log -1)) (fma 0.5 (/ (/ 1 N) N) (- (log -1) (log N))))
  (- (fma (* (/ N 1.0) (/ N 1.0)) -1/2 (fma 1.0 N (log 1.0))) (log N))
  (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)))
  (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)))
2.014 * * * [progress]: adding candidates to table
2.278 * * [progress]: iteration 2 / 4
2.278 * * * [progress]: picking best candidate
2.284 * * * * [pick]: Picked  #<alt (λ (N) (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))))>
2.284 * * * [progress]: localizing error
2.299 * * * [progress]: generating rewritten candidates
2.300 * * * * [progress]: [ 1 / 3 ] rewriting at (2 3 1)
2.321 * * * * [progress]: [ 2 / 3 ] rewriting at (2 3)
2.423 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
2.445 * * * [progress]: generating series expansions
2.445 * * * * [progress]: [ 1 / 3 ] generating series at (2 3 1)
2.446 * [backup-simplify]: Simplify (/ (/ 1 N) N) into (/ 1 (pow N 2))
2.446 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0
2.446 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
2.446 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.446 * [taylor]: Taking taylor expansion of N in N
2.446 * [backup-simplify]: Simplify 0 into 0
2.446 * [backup-simplify]: Simplify 1 into 1
2.447 * [backup-simplify]: Simplify (* 1 1) into 1
2.447 * [backup-simplify]: Simplify (/ 1 1) into 1
2.447 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
2.447 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.447 * [taylor]: Taking taylor expansion of N in N
2.447 * [backup-simplify]: Simplify 0 into 0
2.447 * [backup-simplify]: Simplify 1 into 1
2.448 * [backup-simplify]: Simplify (* 1 1) into 1
2.448 * [backup-simplify]: Simplify (/ 1 1) into 1
2.448 * [backup-simplify]: Simplify 1 into 1
2.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.450 * [backup-simplify]: Simplify 0 into 0
2.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.451 * [backup-simplify]: Simplify 0 into 0
2.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.453 * [backup-simplify]: Simplify 0 into 0
2.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.456 * [backup-simplify]: Simplify 0 into 0
2.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
2.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.458 * [backup-simplify]: Simplify 0 into 0
2.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
2.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.461 * [backup-simplify]: Simplify 0 into 0
2.461 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2))
2.462 * [backup-simplify]: Simplify (/ (/ 1 (/ 1 N)) (/ 1 N)) into (pow N 2)
2.462 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0
2.462 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.462 * [taylor]: Taking taylor expansion of N in N
2.462 * [backup-simplify]: Simplify 0 into 0
2.462 * [backup-simplify]: Simplify 1 into 1
2.462 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.462 * [taylor]: Taking taylor expansion of N in N
2.462 * [backup-simplify]: Simplify 0 into 0
2.462 * [backup-simplify]: Simplify 1 into 1
2.462 * [backup-simplify]: Simplify (* 1 1) into 1
2.462 * [backup-simplify]: Simplify 1 into 1
2.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.463 * [backup-simplify]: Simplify 0 into 0
2.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.464 * [backup-simplify]: Simplify 0 into 0
2.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.465 * [backup-simplify]: Simplify 0 into 0
2.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.466 * [backup-simplify]: Simplify 0 into 0
2.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
2.468 * [backup-simplify]: Simplify 0 into 0
2.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
2.470 * [backup-simplify]: Simplify 0 into 0
2.470 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2))
2.470 * [backup-simplify]: Simplify (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))) into (pow N 2)
2.470 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0
2.470 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.470 * [taylor]: Taking taylor expansion of N in N
2.470 * [backup-simplify]: Simplify 0 into 0
2.470 * [backup-simplify]: Simplify 1 into 1
2.470 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.470 * [taylor]: Taking taylor expansion of N in N
2.470 * [backup-simplify]: Simplify 0 into 0
2.470 * [backup-simplify]: Simplify 1 into 1
2.471 * [backup-simplify]: Simplify (* 1 1) into 1
2.471 * [backup-simplify]: Simplify 1 into 1
2.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.471 * [backup-simplify]: Simplify 0 into 0
2.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.472 * [backup-simplify]: Simplify 0 into 0
2.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.473 * [backup-simplify]: Simplify 0 into 0
2.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.475 * [backup-simplify]: Simplify 0 into 0
2.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
2.476 * [backup-simplify]: Simplify 0 into 0
2.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
2.478 * [backup-simplify]: Simplify 0 into 0
2.478 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2))
2.478 * * * * [progress]: [ 2 / 3 ] generating series at (2 3)
2.478 * [backup-simplify]: Simplify (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)) into (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2))
2.478 * [approximate]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in (N) around 0
2.478 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in N
2.478 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N
2.478 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N
2.478 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N
2.478 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.479 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.479 * [taylor]: Taking taylor expansion of N in N
2.479 * [backup-simplify]: Simplify 0 into 0
2.479 * [backup-simplify]: Simplify 1 into 1
2.479 * [backup-simplify]: Simplify (/ 1 1) into 1
2.479 * [taylor]: Taking taylor expansion of 0.5 in N
2.479 * [backup-simplify]: Simplify 0.5 into 0.5
2.479 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.479 * [taylor]: Taking taylor expansion of N in N
2.479 * [backup-simplify]: Simplify 0 into 0
2.479 * [backup-simplify]: Simplify 1 into 1
2.480 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
2.481 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333
2.481 * [backup-simplify]: Simplify (* 1 1) into 1
2.481 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333
2.482 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in N
2.482 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N
2.482 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N
2.482 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N
2.482 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.482 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.482 * [taylor]: Taking taylor expansion of N in N
2.482 * [backup-simplify]: Simplify 0 into 0
2.482 * [backup-simplify]: Simplify 1 into 1
2.482 * [backup-simplify]: Simplify (/ 1 1) into 1
2.482 * [taylor]: Taking taylor expansion of 0.5 in N
2.482 * [backup-simplify]: Simplify 0.5 into 0.5
2.483 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.483 * [taylor]: Taking taylor expansion of N in N
2.483 * [backup-simplify]: Simplify 0 into 0
2.483 * [backup-simplify]: Simplify 1 into 1
2.483 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
2.484 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333
2.484 * [backup-simplify]: Simplify (* 1 1) into 1
2.485 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333
2.485 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.487 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0
2.487 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
2.488 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5)
2.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.492 * [backup-simplify]: Simplify (- (/ (- 0.5) 1) (+ (* 0.3333333333333333 (/ 0 1)))) into (- 0.5)
2.492 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
2.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.494 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0
2.494 * [backup-simplify]: Simplify (- 0) into 0
2.495 * [backup-simplify]: Simplify (+ 0 0) into 0
2.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)))) into 0
2.497 * [backup-simplify]: Simplify 0 into 0
2.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.499 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.499 * [backup-simplify]: Simplify (- 0) into 0
2.500 * [backup-simplify]: Simplify (+ 0 0) into 0
2.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.502 * [backup-simplify]: Simplify 0 into 0
2.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.505 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.505 * [backup-simplify]: Simplify (- 0) into 0
2.505 * [backup-simplify]: Simplify (+ 0 0) into 0
2.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.508 * [backup-simplify]: Simplify 0 into 0
2.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.510 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
2.511 * [backup-simplify]: Simplify (- 0) into 0
2.511 * [backup-simplify]: Simplify (+ 0 0) into 0
2.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
2.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.514 * [backup-simplify]: Simplify 0 into 0
2.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.517 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
2.517 * [backup-simplify]: Simplify (- 0) into 0
2.518 * [backup-simplify]: Simplify (+ 0 0) into 0
2.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
2.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.521 * [backup-simplify]: Simplify 0 into 0
2.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.524 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0
2.524 * [backup-simplify]: Simplify (- 0) into 0
2.524 * [backup-simplify]: Simplify (+ 0 0) into 0
2.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0
2.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.532 * [backup-simplify]: Simplify 0 into 0
2.532 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2))))
2.532 * [backup-simplify]: Simplify (* (/ (/ 1 (/ 1 N)) (/ 1 N)) (- (/ 0.3333333333333333 (/ 1 N)) 0.5)) into (* (pow N 2) (- (* 0.3333333333333333 N) 0.5))
2.532 * [approximate]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in (N) around 0
2.532 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N
2.532 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.532 * [taylor]: Taking taylor expansion of N in N
2.532 * [backup-simplify]: Simplify 0 into 0
2.532 * [backup-simplify]: Simplify 1 into 1
2.532 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N
2.532 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N
2.532 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N
2.532 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.532 * [taylor]: Taking taylor expansion of N in N
2.532 * [backup-simplify]: Simplify 0 into 0
2.532 * [backup-simplify]: Simplify 1 into 1
2.532 * [taylor]: Taking taylor expansion of 0.5 in N
2.532 * [backup-simplify]: Simplify 0.5 into 0.5
2.533 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N
2.533 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.533 * [taylor]: Taking taylor expansion of N in N
2.533 * [backup-simplify]: Simplify 0 into 0
2.533 * [backup-simplify]: Simplify 1 into 1
2.533 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N
2.533 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N
2.533 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N
2.533 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.533 * [taylor]: Taking taylor expansion of N in N
2.533 * [backup-simplify]: Simplify 0 into 0
2.533 * [backup-simplify]: Simplify 1 into 1
2.533 * [taylor]: Taking taylor expansion of 0.5 in N
2.533 * [backup-simplify]: Simplify 0.5 into 0.5
2.533 * [backup-simplify]: Simplify (* 1 1) into 1
2.533 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0
2.534 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
2.534 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5)
2.535 * [backup-simplify]: Simplify (* 1 (- 0.5)) into -0.5
2.535 * [backup-simplify]: Simplify -0.5 into -0.5
2.535 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333
2.536 * [backup-simplify]: Simplify (- 0) into 0
2.536 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333
2.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.537 * [backup-simplify]: Simplify (+ (* 1 0.3333333333333333) (* 0 (- 0.5))) into 0.3333333333333333
2.537 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.538 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 1) (* 0 0))) into 0
2.538 * [backup-simplify]: Simplify (- 0) into 0
2.538 * [backup-simplify]: Simplify (+ 0 0) into 0
2.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5)))) into 0
2.540 * [backup-simplify]: Simplify 0 into 0
2.540 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
2.541 * [backup-simplify]: Simplify (- 0) into 0
2.541 * [backup-simplify]: Simplify (+ 0 0) into 0
2.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5))))) into 0
2.542 * [backup-simplify]: Simplify 0 into 0
2.543 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
2.543 * [backup-simplify]: Simplify (- 0) into 0
2.543 * [backup-simplify]: Simplify (+ 0 0) into 0
2.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5)))))) into 0
2.545 * [backup-simplify]: Simplify 0 into 0
2.546 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
2.546 * [backup-simplify]: Simplify (- 0) into 0
2.546 * [backup-simplify]: Simplify (+ 0 0) into 0
2.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
2.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5))))))) into 0
2.548 * [backup-simplify]: Simplify 0 into 0
2.549 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
2.549 * [backup-simplify]: Simplify (- 0) into 0
2.550 * [backup-simplify]: Simplify (+ 0 0) into 0
2.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
2.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5)))))))) into 0
2.552 * [backup-simplify]: Simplify 0 into 0
2.553 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
2.553 * [backup-simplify]: Simplify (- 0) into 0
2.553 * [backup-simplify]: Simplify (+ 0 0) into 0
2.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0
2.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5))))))))) into 0
2.555 * [backup-simplify]: Simplify 0 into 0
2.556 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (* -0.5 (pow (/ 1 N) 2))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2))))
2.556 * [backup-simplify]: Simplify (* (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))) (- (/ 0.3333333333333333 (/ 1 (- N))) 0.5)) into (* -1 (* (pow N 2) (+ (* 0.3333333333333333 N) 0.5)))
2.556 * [approximate]: Taking taylor expansion of (* -1 (* (pow N 2) (+ (* 0.3333333333333333 N) 0.5))) in (N) around 0
2.556 * [taylor]: Taking taylor expansion of (* -1 (* (pow N 2) (+ (* 0.3333333333333333 N) 0.5))) in N
2.556 * [taylor]: Taking taylor expansion of -1 in N
2.556 * [backup-simplify]: Simplify -1 into -1
2.556 * [taylor]: Taking taylor expansion of (* (pow N 2) (+ (* 0.3333333333333333 N) 0.5)) in N
2.556 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.556 * [taylor]: Taking taylor expansion of N in N
2.556 * [backup-simplify]: Simplify 0 into 0
2.556 * [backup-simplify]: Simplify 1 into 1
2.556 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N
2.556 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N
2.556 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N
2.556 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.556 * [taylor]: Taking taylor expansion of N in N
2.556 * [backup-simplify]: Simplify 0 into 0
2.556 * [backup-simplify]: Simplify 1 into 1
2.556 * [taylor]: Taking taylor expansion of 0.5 in N
2.556 * [backup-simplify]: Simplify 0.5 into 0.5
2.556 * [taylor]: Taking taylor expansion of (* -1 (* (pow N 2) (+ (* 0.3333333333333333 N) 0.5))) in N
2.556 * [taylor]: Taking taylor expansion of -1 in N
2.556 * [backup-simplify]: Simplify -1 into -1
2.556 * [taylor]: Taking taylor expansion of (* (pow N 2) (+ (* 0.3333333333333333 N) 0.5)) in N
2.556 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.556 * [taylor]: Taking taylor expansion of N in N
2.556 * [backup-simplify]: Simplify 0 into 0
2.556 * [backup-simplify]: Simplify 1 into 1
2.556 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N
2.556 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N
2.556 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N
2.556 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.556 * [taylor]: Taking taylor expansion of N in N
2.556 * [backup-simplify]: Simplify 0 into 0
2.556 * [backup-simplify]: Simplify 1 into 1
2.556 * [taylor]: Taking taylor expansion of 0.5 in N
2.556 * [backup-simplify]: Simplify 0.5 into 0.5
2.557 * [backup-simplify]: Simplify (* 1 1) into 1
2.557 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0
2.557 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5
2.558 * [backup-simplify]: Simplify (* 1 0.5) into 0.5
2.558 * [backup-simplify]: Simplify (* -1 0.5) into -0.5
2.558 * [backup-simplify]: Simplify -0.5 into -0.5
2.560 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333
2.560 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333
2.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.562 * [backup-simplify]: Simplify (+ (* 1 0.3333333333333333) (* 0 0.5)) into 0.3333333333333333
2.564 * [backup-simplify]: Simplify (+ (* -1 0.3333333333333333) (* 0 0.5)) into (- 0.3333333333333333)
2.564 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333)
2.565 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 1) (* 0 0))) into 0
2.566 * [backup-simplify]: Simplify (+ 0 0) into 0
2.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0.3333333333333333) (* 0 0.5))) into 0
2.569 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0.3333333333333333) (* 0 0.5))) into 0
2.569 * [backup-simplify]: Simplify 0 into 0
2.570 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
2.570 * [backup-simplify]: Simplify (+ 0 0) into 0
2.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))) into 0
2.574 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))) into 0
2.574 * [backup-simplify]: Simplify 0 into 0
2.575 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
2.576 * [backup-simplify]: Simplify (+ 0 0) into 0
2.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5))))) into 0
2.580 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5))))) into 0
2.580 * [backup-simplify]: Simplify 0 into 0
2.581 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
2.582 * [backup-simplify]: Simplify (+ 0 0) into 0
2.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
2.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))))) into 0
2.586 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))))) into 0
2.586 * [backup-simplify]: Simplify 0 into 0
2.588 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
2.588 * [backup-simplify]: Simplify (+ 0 0) into 0
2.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
2.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5))))))) into 0
2.594 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5))))))) into 0
2.594 * [backup-simplify]: Simplify 0 into 0
2.596 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
2.596 * [backup-simplify]: Simplify (+ 0 0) into 0
2.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0
2.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))))))) into 0
2.602 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))))))) into 0
2.602 * [backup-simplify]: Simplify 0 into 0
2.603 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (* -0.5 (pow (/ 1 (- N)) 2))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2))))
2.603 * * * * [progress]: [ 3 / 3 ] generating series at (2)
2.604 * [backup-simplify]: Simplify (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))) into (fma (/ 1 N) 1.0 (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)))
2.604 * [approximate]: Taking taylor expansion of (fma (/ 1 N) 1.0 (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2))) in (N) around 0
2.604 * [taylor]: Taking taylor expansion of (fma (/ 1 N) 1.0 (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2))) in N
2.606 * [taylor]: Rewrote expression to (+ (* (/ 1 N) 1.0) (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)))
2.606 * [taylor]: Taking taylor expansion of (* (/ 1 N) 1.0) in N
2.606 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.606 * [taylor]: Taking taylor expansion of N in N
2.606 * [backup-simplify]: Simplify 0 into 0
2.606 * [backup-simplify]: Simplify 1 into 1
2.606 * [backup-simplify]: Simplify (/ 1 1) into 1
2.606 * [taylor]: Taking taylor expansion of 1.0 in N
2.606 * [backup-simplify]: Simplify 1.0 into 1.0
2.606 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in N
2.607 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N
2.607 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N
2.607 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N
2.607 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.607 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.607 * [taylor]: Taking taylor expansion of N in N
2.607 * [backup-simplify]: Simplify 0 into 0
2.607 * [backup-simplify]: Simplify 1 into 1
2.607 * [backup-simplify]: Simplify (/ 1 1) into 1
2.607 * [taylor]: Taking taylor expansion of 0.5 in N
2.607 * [backup-simplify]: Simplify 0.5 into 0.5
2.607 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.607 * [taylor]: Taking taylor expansion of N in N
2.607 * [backup-simplify]: Simplify 0 into 0
2.607 * [backup-simplify]: Simplify 1 into 1
2.608 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
2.608 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333
2.608 * [backup-simplify]: Simplify (* 1 1) into 1
2.609 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333
2.609 * [taylor]: Taking taylor expansion of (fma (/ 1 N) 1.0 (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2))) in N
2.609 * [taylor]: Rewrote expression to (+ (* (/ 1 N) 1.0) (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)))
2.609 * [taylor]: Taking taylor expansion of (* (/ 1 N) 1.0) in N
2.609 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.609 * [taylor]: Taking taylor expansion of N in N
2.609 * [backup-simplify]: Simplify 0 into 0
2.609 * [backup-simplify]: Simplify 1 into 1
2.610 * [backup-simplify]: Simplify (/ 1 1) into 1
2.610 * [taylor]: Taking taylor expansion of 1.0 in N
2.610 * [backup-simplify]: Simplify 1.0 into 1.0
2.610 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in N
2.610 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N
2.610 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N
2.610 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N
2.610 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.610 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.610 * [taylor]: Taking taylor expansion of N in N
2.610 * [backup-simplify]: Simplify 0 into 0
2.610 * [backup-simplify]: Simplify 1 into 1
2.610 * [backup-simplify]: Simplify (/ 1 1) into 1
2.610 * [taylor]: Taking taylor expansion of 0.5 in N
2.610 * [backup-simplify]: Simplify 0.5 into 0.5
2.610 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.610 * [taylor]: Taking taylor expansion of N in N
2.610 * [backup-simplify]: Simplify 0 into 0
2.610 * [backup-simplify]: Simplify 1 into 1
2.611 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
2.611 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333
2.612 * [backup-simplify]: Simplify (* 1 1) into 1
2.612 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333
2.613 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333
2.613 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.614 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0
2.615 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
2.616 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5)
2.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.619 * [backup-simplify]: Simplify (- (/ (- 0.5) 1) (+ (* 0.3333333333333333 (/ 0 1)))) into (- 0.5)
2.620 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5)
2.620 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
2.621 * [backup-simplify]: Simplify (* 1 1.0) into 1.0
2.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.623 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0
2.623 * [backup-simplify]: Simplify (- 0) into 0
2.624 * [backup-simplify]: Simplify (+ 0 0) into 0
2.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.626 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)))) into 0
2.626 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
2.626 * [backup-simplify]: Simplify 1.0 into 1.0
2.627 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3)))) into (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2))))
2.628 * [backup-simplify]: Simplify (fma (/ 1 (/ 1 N)) 1.0 (* (/ (/ 1 (/ 1 N)) (/ 1 N)) (- (/ 0.3333333333333333 (/ 1 N)) 0.5))) into (fma N 1.0 (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)))
2.628 * [approximate]: Taking taylor expansion of (fma N 1.0 (* (pow N 2) (- (* 0.3333333333333333 N) 0.5))) in (N) around 0
2.628 * [taylor]: Taking taylor expansion of (fma N 1.0 (* (pow N 2) (- (* 0.3333333333333333 N) 0.5))) in N
2.628 * [taylor]: Rewrote expression to (+ (* N 1.0) (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)))
2.628 * [taylor]: Taking taylor expansion of (* N 1.0) in N
2.628 * [taylor]: Taking taylor expansion of N in N
2.628 * [backup-simplify]: Simplify 0 into 0
2.628 * [backup-simplify]: Simplify 1 into 1
2.628 * [taylor]: Taking taylor expansion of 1.0 in N
2.628 * [backup-simplify]: Simplify 1.0 into 1.0
2.628 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N
2.628 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.628 * [taylor]: Taking taylor expansion of N in N
2.628 * [backup-simplify]: Simplify 0 into 0
2.628 * [backup-simplify]: Simplify 1 into 1
2.628 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N
2.628 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N
2.629 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N
2.629 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.629 * [taylor]: Taking taylor expansion of N in N
2.629 * [backup-simplify]: Simplify 0 into 0
2.629 * [backup-simplify]: Simplify 1 into 1
2.629 * [taylor]: Taking taylor expansion of 0.5 in N
2.629 * [backup-simplify]: Simplify 0.5 into 0.5
2.629 * [taylor]: Taking taylor expansion of (fma N 1.0 (* (pow N 2) (- (* 0.3333333333333333 N) 0.5))) in N
2.629 * [taylor]: Rewrote expression to (+ (* N 1.0) (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)))
2.629 * [taylor]: Taking taylor expansion of (* N 1.0) in N
2.629 * [taylor]: Taking taylor expansion of N in N
2.629 * [backup-simplify]: Simplify 0 into 0
2.629 * [backup-simplify]: Simplify 1 into 1
2.629 * [taylor]: Taking taylor expansion of 1.0 in N
2.629 * [backup-simplify]: Simplify 1.0 into 1.0
2.629 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N
2.629 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.629 * [taylor]: Taking taylor expansion of N in N
2.629 * [backup-simplify]: Simplify 0 into 0
2.629 * [backup-simplify]: Simplify 1 into 1
2.630 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N
2.630 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N
2.630 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N
2.630 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.630 * [taylor]: Taking taylor expansion of N in N
2.630 * [backup-simplify]: Simplify 0 into 0
2.630 * [backup-simplify]: Simplify 1 into 1
2.630 * [taylor]: Taking taylor expansion of 0.5 in N
2.630 * [backup-simplify]: Simplify 0.5 into 0.5
2.630 * [backup-simplify]: Simplify (* 0 1.0) into 0
2.631 * [backup-simplify]: Simplify (+ 0 0) into 0
2.631 * [backup-simplify]: Simplify 0 into 0
2.632 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1.0)) into 1.0
2.633 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
2.633 * [backup-simplify]: Simplify 1.0 into 1.0
2.634 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 1.0))) into 0
2.634 * [backup-simplify]: Simplify (* 1 1) into 1
2.635 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0
2.635 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
2.636 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5)
2.637 * [backup-simplify]: Simplify (* 1 (- 0.5)) into -0.5
2.637 * [backup-simplify]: Simplify (+ 0 -0.5) into (- 0.5)
2.638 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
2.639 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 1.0)))) into 0
2.640 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333
2.641 * [backup-simplify]: Simplify (- 0) into 0
2.641 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333
2.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.644 * [backup-simplify]: Simplify (+ (* 1 0.3333333333333333) (* 0 (- 0.5))) into 0.3333333333333333
2.644 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333
2.644 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.645 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))
2.646 * [backup-simplify]: Simplify (fma (/ 1 (/ 1 (- N))) 1.0 (* (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))) (- (/ 0.3333333333333333 (/ 1 (- N))) 0.5))) into (fma (* -1 N) 1.0 (* -1 (* (pow N 2) (+ (* 0.3333333333333333 N) 0.5))))
2.646 * [approximate]: Taking taylor expansion of (fma (* -1 N) 1.0 (* -1 (* (pow N 2) (+ (* 0.3333333333333333 N) 0.5)))) in (N) around 0
2.646 * [taylor]: Taking taylor expansion of (fma (* -1 N) 1.0 (* -1 (* (pow N 2) (+ (* 0.3333333333333333 N) 0.5)))) in N
2.646 * [taylor]: Rewrote expression to (+ (* (* -1 N) 1.0) (* -1 (* (pow N 2) (+ (* 0.3333333333333333 N) 0.5))))
2.646 * [taylor]: Taking taylor expansion of (* (* -1 N) 1.0) in N
2.646 * [taylor]: Taking taylor expansion of (* -1 N) in N
2.646 * [taylor]: Taking taylor expansion of -1 in N
2.646 * [backup-simplify]: Simplify -1 into -1
2.646 * [taylor]: Taking taylor expansion of N in N
2.646 * [backup-simplify]: Simplify 0 into 0
2.646 * [backup-simplify]: Simplify 1 into 1
2.646 * [taylor]: Taking taylor expansion of 1.0 in N
2.646 * [backup-simplify]: Simplify 1.0 into 1.0
2.646 * [taylor]: Taking taylor expansion of (* -1 (* (pow N 2) (+ (* 0.3333333333333333 N) 0.5))) in N
2.646 * [taylor]: Taking taylor expansion of -1 in N
2.646 * [backup-simplify]: Simplify -1 into -1
2.646 * [taylor]: Taking taylor expansion of (* (pow N 2) (+ (* 0.3333333333333333 N) 0.5)) in N
2.646 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.646 * [taylor]: Taking taylor expansion of N in N
2.646 * [backup-simplify]: Simplify 0 into 0
2.646 * [backup-simplify]: Simplify 1 into 1
2.646 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N
2.646 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N
2.646 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N
2.646 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.646 * [taylor]: Taking taylor expansion of N in N
2.646 * [backup-simplify]: Simplify 0 into 0
2.646 * [backup-simplify]: Simplify 1 into 1
2.647 * [taylor]: Taking taylor expansion of 0.5 in N
2.647 * [backup-simplify]: Simplify 0.5 into 0.5
2.647 * [taylor]: Taking taylor expansion of (fma (* -1 N) 1.0 (* -1 (* (pow N 2) (+ (* 0.3333333333333333 N) 0.5)))) in N
2.647 * [taylor]: Rewrote expression to (+ (* (* -1 N) 1.0) (* -1 (* (pow N 2) (+ (* 0.3333333333333333 N) 0.5))))
2.647 * [taylor]: Taking taylor expansion of (* (* -1 N) 1.0) in N
2.647 * [taylor]: Taking taylor expansion of (* -1 N) in N
2.647 * [taylor]: Taking taylor expansion of -1 in N
2.647 * [backup-simplify]: Simplify -1 into -1
2.647 * [taylor]: Taking taylor expansion of N in N
2.647 * [backup-simplify]: Simplify 0 into 0
2.647 * [backup-simplify]: Simplify 1 into 1
2.647 * [taylor]: Taking taylor expansion of 1.0 in N
2.647 * [backup-simplify]: Simplify 1.0 into 1.0
2.647 * [taylor]: Taking taylor expansion of (* -1 (* (pow N 2) (+ (* 0.3333333333333333 N) 0.5))) in N
2.647 * [taylor]: Taking taylor expansion of -1 in N
2.647 * [backup-simplify]: Simplify -1 into -1
2.647 * [taylor]: Taking taylor expansion of (* (pow N 2) (+ (* 0.3333333333333333 N) 0.5)) in N
2.647 * [taylor]: Taking taylor expansion of (pow N 2) in N
2.647 * [taylor]: Taking taylor expansion of N in N
2.647 * [backup-simplify]: Simplify 0 into 0
2.647 * [backup-simplify]: Simplify 1 into 1
2.647 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N
2.647 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N
2.647 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N
2.647 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
2.647 * [taylor]: Taking taylor expansion of N in N
2.647 * [backup-simplify]: Simplify 0 into 0
2.647 * [backup-simplify]: Simplify 1 into 1
2.647 * [taylor]: Taking taylor expansion of 0.5 in N
2.647 * [backup-simplify]: Simplify 0.5 into 0.5
2.648 * [backup-simplify]: Simplify (* -1 0) into 0
2.648 * [backup-simplify]: Simplify (* 0 1.0) into 0
2.649 * [backup-simplify]: Simplify (+ 0 0) into 0
2.649 * [backup-simplify]: Simplify 0 into 0
2.650 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1
2.651 * [backup-simplify]: Simplify (+ (* 0 0) (* -1 1.0)) into (- 1.0)
2.652 * [backup-simplify]: Simplify (+ (- 1.0) 0) into (- 1.0)
2.655 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
2.656 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0
2.657 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* -1 0) (* 0 1.0))) into 0
2.657 * [backup-simplify]: Simplify (* 1 1) into 1
2.658 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0
2.658 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5
2.659 * [backup-simplify]: Simplify (* 1 0.5) into 0.5
2.659 * [backup-simplify]: Simplify (* -1 0.5) into -0.5
2.660 * [backup-simplify]: Simplify (+ 0 -0.5) into (- 0.5)
2.660 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
2.661 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
2.662 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* -1 0) (+ (* 0 0) (* 0 1.0)))) into 0
2.664 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333
2.664 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333
2.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.666 * [backup-simplify]: Simplify (+ (* 1 0.3333333333333333) (* 0 0.5)) into 0.3333333333333333
2.668 * [backup-simplify]: Simplify (+ (* -1 0.3333333333333333) (* 0 0.5)) into (- 0.3333333333333333)
2.669 * [backup-simplify]: Simplify (+ 0 (- 0.3333333333333333)) into (- 0.3333333333333333)
2.669 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333)
2.671 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))
2.671 * * * [progress]: simplifying candidates
2.682 * [simplify]: Simplifying:
  (expm1 (/ (/ 1 N) N))
  (log1p (/ (/ 1 N) N))
  (- -1 1)
  (- (- 1) 1)
  (- (- (log N)) (log N))
  (- (- 0 (log N)) (log N))
  (- (- (log 1) (log N)) (log N))
  (- (log (/ 1 N)) (log N))
  (log (/ (/ 1 N) N))
  (exp (/ (/ 1 N) N))
  (/ (/ (* (* 1 1) 1) (* (* N N) N)) (* (* N N) N))
  (/ (* (* (/ 1 N) (/ 1 N)) (/ 1 N)) (* (* N N) N))
  (* (cbrt (/ (/ 1 N) N)) (cbrt (/ (/ 1 N) N)))
  (cbrt (/ (/ 1 N) N))
  (* (* (/ (/ 1 N) N) (/ (/ 1 N) N)) (/ (/ 1 N) N))
  (sqrt (/ (/ 1 N) N))
  (sqrt (/ (/ 1 N) N))
  (- (/ 1 N))
  (- N)
  (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (* (cbrt N) (cbrt N)))
  (/ (cbrt (/ 1 N)) (cbrt N))
  (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (sqrt N))
  (/ (cbrt (/ 1 N)) (sqrt N))
  (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) 1)
  (/ (cbrt (/ 1 N)) N)
  (/ (sqrt (/ 1 N)) (* (cbrt N) (cbrt N)))
  (/ (sqrt (/ 1 N)) (cbrt N))
  (/ (sqrt (/ 1 N)) (sqrt N))
  (/ (sqrt (/ 1 N)) (sqrt N))
  (/ (sqrt (/ 1 N)) 1)
  (/ (sqrt (/ 1 N)) N)
  (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N)))
  (/ (/ (cbrt 1) (cbrt N)) (cbrt N))
  (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) (sqrt N))
  (/ (/ (cbrt 1) (cbrt N)) (sqrt N))
  (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) 1)
  (/ (/ (cbrt 1) (cbrt N)) N)
  (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) (* (cbrt N) (cbrt N)))
  (/ (/ (cbrt 1) (sqrt N)) (cbrt N))
  (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) (sqrt N))
  (/ (/ (cbrt 1) (sqrt N)) (sqrt N))
  (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) 1)
  (/ (/ (cbrt 1) (sqrt N)) N)
  (/ (/ (* (cbrt 1) (cbrt 1)) 1) (* (cbrt N) (cbrt N)))
  (/ (/ (cbrt 1) N) (cbrt N))
  (/ (/ (* (cbrt 1) (cbrt 1)) 1) (sqrt N))
  (/ (/ (cbrt 1) N) (sqrt N))
  (/ (/ (* (cbrt 1) (cbrt 1)) 1) 1)
  (/ (/ (cbrt 1) N) N)
  (/ (/ (sqrt 1) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N)))
  (/ (/ (sqrt 1) (cbrt N)) (cbrt N))
  (/ (/ (sqrt 1) (* (cbrt N) (cbrt N))) (sqrt N))
  (/ (/ (sqrt 1) (cbrt N)) (sqrt N))
  (/ (/ (sqrt 1) (* (cbrt N) (cbrt N))) 1)
  (/ (/ (sqrt 1) (cbrt N)) N)
  (/ (/ (sqrt 1) (sqrt N)) (* (cbrt N) (cbrt N)))
  (/ (/ (sqrt 1) (sqrt N)) (cbrt N))
  (/ (/ (sqrt 1) (sqrt N)) (sqrt N))
  (/ (/ (sqrt 1) (sqrt N)) (sqrt N))
  (/ (/ (sqrt 1) (sqrt N)) 1)
  (/ (/ (sqrt 1) (sqrt N)) N)
  (/ (/ (sqrt 1) 1) (* (cbrt N) (cbrt N)))
  (/ (/ (sqrt 1) N) (cbrt N))
  (/ (/ (sqrt 1) 1) (sqrt N))
  (/ (/ (sqrt 1) N) (sqrt N))
  (/ (/ (sqrt 1) 1) 1)
  (/ (/ (sqrt 1) N) N)
  (/ (/ 1 (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N)))
  (/ (/ 1 (cbrt N)) (cbrt N))
  (/ (/ 1 (* (cbrt N) (cbrt N))) (sqrt N))
  (/ (/ 1 (cbrt N)) (sqrt N))
  (/ (/ 1 (* (cbrt N) (cbrt N))) 1)
  (/ (/ 1 (cbrt N)) N)
  (/ (/ 1 (sqrt N)) (* (cbrt N) (cbrt N)))
  (/ (/ 1 (sqrt N)) (cbrt N))
  (/ (/ 1 (sqrt N)) (sqrt N))
  (/ (/ 1 (sqrt N)) (sqrt N))
  (/ (/ 1 (sqrt N)) 1)
  (/ (/ 1 (sqrt N)) N)
  (/ (/ 1 1) (* (cbrt N) (cbrt N)))
  (/ (/ 1 N) (cbrt N))
  (/ (/ 1 1) (sqrt N))
  (/ (/ 1 N) (sqrt N))
  (/ (/ 1 1) 1)
  (/ (/ 1 N) N)
  (/ 1 (* (cbrt N) (cbrt N)))
  (/ (/ 1 N) (cbrt N))
  (/ 1 (sqrt N))
  (/ (/ 1 N) (sqrt N))
  (/ 1 1)
  (/ (/ 1 N) N)
  (/ 1 (* (cbrt N) (cbrt N)))
  (/ (/ 1 N) (cbrt N))
  (/ 1 (sqrt N))
  (/ (/ 1 N) (sqrt N))
  (/ 1 1)
  (/ (/ 1 N) N)
  (/ 1 N)
  (/ N (/ 1 N))
  (/ (/ 1 N) (* (cbrt N) (cbrt N)))
  (/ (/ 1 N) (sqrt N))
  (/ (/ 1 N) 1)
  (/ N (cbrt (/ 1 N)))
  (/ N (sqrt (/ 1 N)))
  (/ N (/ (cbrt 1) (cbrt N)))
  (/ N (/ (cbrt 1) (sqrt N)))
  (/ N (/ (cbrt 1) N))
  (/ N (/ (sqrt 1) (cbrt N)))
  (/ N (/ (sqrt 1) (sqrt N)))
  (/ N (/ (sqrt 1) N))
  (/ N (/ 1 (cbrt N)))
  (/ N (/ 1 (sqrt N)))
  (/ N (/ 1 N))
  (/ N (/ 1 N))
  (/ N (/ 1 N))
  (* N N)
  (expm1 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)))
  (log1p (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)))
  (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))
  (+ (- (- (log N)) (log N)) (log (- (/ 0.3333333333333333 N) 0.5)))
  (+ (- (- 0 (log N)) (log N)) (log (- (/ 0.3333333333333333 N) 0.5)))
  (+ (- (- (log 1) (log N)) (log N)) (log (- (/ 0.3333333333333333 N) 0.5)))
  (+ (- (log (/ 1 N)) (log N)) (log (- (/ 0.3333333333333333 N) 0.5)))
  (+ (log (/ (/ 1 N) N)) (log (- (/ 0.3333333333333333 N) 0.5)))
  (log (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)))
  (exp (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)))
  (* (/ (/ (* (* 1 1) 1) (* (* N N) N)) (* (* N N) N)) (* (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)) (- (/ 0.3333333333333333 N) 0.5)))
  (* (/ (* (* (/ 1 N) (/ 1 N)) (/ 1 N)) (* (* N N) N)) (* (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)) (- (/ 0.3333333333333333 N) 0.5)))
  (* (* (* (/ (/ 1 N) N) (/ (/ 1 N) N)) (/ (/ 1 N) N)) (* (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)) (- (/ 0.3333333333333333 N) 0.5)))
  (* (cbrt (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))) (cbrt (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))))
  (cbrt (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)))
  (* (* (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))) (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)))
  (sqrt (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)))
  (sqrt (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)))
  (* (/ 1 N) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3)))
  (* N (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5))))
  (* (/ 1 N) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5)))
  (* N (+ (/ 0.3333333333333333 N) 0.5))
  (* (sqrt (/ (/ 1 N) N)) (sqrt (- (/ 0.3333333333333333 N) 0.5)))
  (* (sqrt (/ (/ 1 N) N)) (sqrt (- (/ 0.3333333333333333 N) 0.5)))
  (* (/ (sqrt (/ 1 N)) (sqrt N)) (sqrt (- (/ 0.3333333333333333 N) 0.5)))
  (* (/ (sqrt (/ 1 N)) (sqrt N)) (sqrt (- (/ 0.3333333333333333 N) 0.5)))
  (* (/ (/ (sqrt 1) (sqrt N)) (sqrt N)) (sqrt (- (/ 0.3333333333333333 N) 0.5)))
  (* (/ (/ (sqrt 1) (sqrt N)) (sqrt N)) (sqrt (- (/ 0.3333333333333333 N) 0.5)))
  (* (/ (/ 1 (sqrt N)) (sqrt N)) (sqrt (- (/ 0.3333333333333333 N) 0.5)))
  (* (/ (/ 1 (sqrt N)) (sqrt N)) (sqrt (- (/ 0.3333333333333333 N) 0.5)))
  (* (/ 1 N) (sqrt (- (/ 0.3333333333333333 N) 0.5)))
  (* (/ 1 N) (sqrt (- (/ 0.3333333333333333 N) 0.5)))
  (* (/ (/ 1 N) N) (fma (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) (cbrt (/ 0.3333333333333333 N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))))
  (* (/ (/ 1 N) N) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))))
  (* (/ (/ 1 N) N) (fma (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) (cbrt (/ 0.3333333333333333 N)) (- (* (sqrt 0.5) (sqrt 0.5)))))
  (* (/ (/ 1 N) N) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))))
  (* (/ (/ 1 N) N) (fma (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) (cbrt (/ 0.3333333333333333 N)) (- (* 0.5 1))))
  (* (/ (/ 1 N) N) (fma (- 0.5) 1 (* 0.5 1)))
  (* (/ (/ 1 N) N) (fma (sqrt (/ 0.3333333333333333 N)) (sqrt (/ 0.3333333333333333 N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))))
  (* (/ (/ 1 N) N) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))))
  (* (/ (/ 1 N) N) (fma (sqrt (/ 0.3333333333333333 N)) (sqrt (/ 0.3333333333333333 N)) (- (* (sqrt 0.5) (sqrt 0.5)))))
  (* (/ (/ 1 N) N) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))))
  (* (/ (/ 1 N) N) (fma (sqrt (/ 0.3333333333333333 N)) (sqrt (/ 0.3333333333333333 N)) (- (* 0.5 1))))
  (* (/ (/ 1 N) N) (fma (- 0.5) 1 (* 0.5 1)))
  (* (/ (/ 1 N) N) (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt N) (cbrt N))) (/ (cbrt 0.3333333333333333) (cbrt N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))))
  (* (/ (/ 1 N) N) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))))
  (* (/ (/ 1 N) N) (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt N) (cbrt N))) (/ (cbrt 0.3333333333333333) (cbrt N)) (- (* (sqrt 0.5) (sqrt 0.5)))))
  (* (/ (/ 1 N) N) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))))
  (* (/ (/ 1 N) N) (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt N) (cbrt N))) (/ (cbrt 0.3333333333333333) (cbrt N)) (- (* 0.5 1))))
  (* (/ (/ 1 N) N) (fma (- 0.5) 1 (* 0.5 1)))
  (* (/ (/ 1 N) N) (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt N)) (/ (cbrt 0.3333333333333333) (sqrt N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))))
  (* (/ (/ 1 N) N) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))))
  (* (/ (/ 1 N) N) (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt N)) (/ (cbrt 0.3333333333333333) (sqrt N)) (- (* (sqrt 0.5) (sqrt 0.5)))))
  (* (/ (/ 1 N) N) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))))
  (* (/ (/ 1 N) N) (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt N)) (/ (cbrt 0.3333333333333333) (sqrt N)) (- (* 0.5 1))))
  (* (/ (/ 1 N) N) (fma (- 0.5) 1 (* 0.5 1)))
  (* (/ (/ 1 N) N) (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) (/ (cbrt 0.3333333333333333) N) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))))
  (* (/ (/ 1 N) N) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))))
  (* (/ (/ 1 N) N) (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) (/ (cbrt 0.3333333333333333) N) (- (* (sqrt 0.5) (sqrt 0.5)))))
  (* (/ (/ 1 N) N) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))))
  (* (/ (/ 1 N) N) (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) (/ (cbrt 0.3333333333333333) N) (- (* 0.5 1))))
  (* (/ (/ 1 N) N) (fma (- 0.5) 1 (* 0.5 1)))
  (* (/ (/ 1 N) N) (fma (/ (sqrt 0.3333333333333333) (* (cbrt N) (cbrt N))) (/ (sqrt 0.3333333333333333) (cbrt N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))))
  (* (/ (/ 1 N) N) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))))
  (* (/ (/ 1 N) N) (fma (/ (sqrt 0.3333333333333333) (* (cbrt N) (cbrt N))) (/ (sqrt 0.3333333333333333) (cbrt N)) (- (* (sqrt 0.5) (sqrt 0.5)))))
  (* (/ (/ 1 N) N) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))))
  (* (/ (/ 1 N) N) (fma (/ (sqrt 0.3333333333333333) (* (cbrt N) (cbrt N))) (/ (sqrt 0.3333333333333333) (cbrt N)) (- (* 0.5 1))))
  (* (/ (/ 1 N) N) (fma (- 0.5) 1 (* 0.5 1)))
  (* (/ (/ 1 N) N) (fma (/ (sqrt 0.3333333333333333) (sqrt N)) (/ (sqrt 0.3333333333333333) (sqrt N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))))
  (* (/ (/ 1 N) N) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))))
  (* (/ (/ 1 N) N) (fma (/ (sqrt 0.3333333333333333) (sqrt N)) (/ (sqrt 0.3333333333333333) (sqrt N)) (- (* (sqrt 0.5) (sqrt 0.5)))))
  (* (/ (/ 1 N) N) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))))
  (* (/ (/ 1 N) N) (fma (/ (sqrt 0.3333333333333333) (sqrt N)) (/ (sqrt 0.3333333333333333) (sqrt N)) (- (* 0.5 1))))
  (* (/ (/ 1 N) N) (fma (- 0.5) 1 (* 0.5 1)))
  (* (/ (/ 1 N) N) (fma (/ (sqrt 0.3333333333333333) 1) (/ (sqrt 0.3333333333333333) N) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))))
  (* (/ (/ 1 N) N) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))))
  (* (/ (/ 1 N) N) (fma (/ (sqrt 0.3333333333333333) 1) (/ (sqrt 0.3333333333333333) N) (- (* (sqrt 0.5) (sqrt 0.5)))))
  (* (/ (/ 1 N) N) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))))
  (* (/ (/ 1 N) N) (fma (/ (sqrt 0.3333333333333333) 1) (/ (sqrt 0.3333333333333333) N) (- (* 0.5 1))))
  (* (/ (/ 1 N) N) (fma (- 0.5) 1 (* 0.5 1)))
  (* (/ (/ 1 N) N) (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 0.3333333333333333 (cbrt N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))))
  (* (/ (/ 1 N) N) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))))
  (* (/ (/ 1 N) N) (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 0.3333333333333333 (cbrt N)) (- (* (sqrt 0.5) (sqrt 0.5)))))
  (* (/ (/ 1 N) N) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))))
  (* (/ (/ 1 N) N) (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 0.3333333333333333 (cbrt N)) (- (* 0.5 1))))
  (* (/ (/ 1 N) N) (fma (- 0.5) 1 (* 0.5 1)))
  (* (/ (/ 1 N) N) (fma (/ 1 (sqrt N)) (/ 0.3333333333333333 (sqrt N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))))
  (* (/ (/ 1 N) N) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))))
  (* (/ (/ 1 N) N) (fma (/ 1 (sqrt N)) (/ 0.3333333333333333 (sqrt N)) (- (* (sqrt 0.5) (sqrt 0.5)))))
  (* (/ (/ 1 N) N) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))))
  (* (/ (/ 1 N) N) (fma (/ 1 (sqrt N)) (/ 0.3333333333333333 (sqrt N)) (- (* 0.5 1))))
  (* (/ (/ 1 N) N) (fma (- 0.5) 1 (* 0.5 1)))
  (* (/ (/ 1 N) N) (fma (/ 1 1) (/ 0.3333333333333333 N) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))))
  (* (/ (/ 1 N) N) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))))
  (* (/ (/ 1 N) N) (fma (/ 1 1) (/ 0.3333333333333333 N) (- (* (sqrt 0.5) (sqrt 0.5)))))
  (* (/ (/ 1 N) N) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))))
  (* (/ (/ 1 N) N) (fma (/ 1 1) (/ 0.3333333333333333 N) (- (* 0.5 1))))
  (* (/ (/ 1 N) N) (fma (- 0.5) 1 (* 0.5 1)))
  (* (/ (/ 1 N) N) (fma 1 (/ 0.3333333333333333 N) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))))
  (* (/ (/ 1 N) N) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))))
  (* (/ (/ 1 N) N) (fma 1 (/ 0.3333333333333333 N) (- (* (sqrt 0.5) (sqrt 0.5)))))
  (* (/ (/ 1 N) N) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))))
  (* (/ (/ 1 N) N) (fma 1 (/ 0.3333333333333333 N) (- (* 0.5 1))))
  (* (/ (/ 1 N) N) (fma (- 0.5) 1 (* 0.5 1)))
  (* (/ (/ 1 N) N) (fma 0.3333333333333333 (/ 1 N) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))))
  (* (/ (/ 1 N) N) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))))
  (* (/ (/ 1 N) N) (fma 0.3333333333333333 (/ 1 N) (- (* (sqrt 0.5) (sqrt 0.5)))))
  (* (/ (/ 1 N) N) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))))
  (* (/ (/ 1 N) N) (fma 0.3333333333333333 (/ 1 N) (- (* 0.5 1))))
  (* (/ (/ 1 N) N) (fma (- 0.5) 1 (* 0.5 1)))
  (* (/ (/ 1 N) N) (/ 0.3333333333333333 N))
  (* (/ (/ 1 N) N) (- 0.5))
  (* (/ (/ 1 N) N) (/ 0.3333333333333333 N))
  (* (/ (/ 1 N) N) (- 0.5))
  (* (fma (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) (cbrt (/ 0.3333333333333333 N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (/ (/ 1 N) N))
  (* (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (/ (/ 1 N) N))
  (* (fma (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) (cbrt (/ 0.3333333333333333 N)) (- (* (sqrt 0.5) (sqrt 0.5)))) (/ (/ 1 N) N))
  (* (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (/ (/ 1 N) N))
  (* (fma (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) (cbrt (/ 0.3333333333333333 N)) (- (* 0.5 1))) (/ (/ 1 N) N))
  (* (fma (- 0.5) 1 (* 0.5 1)) (/ (/ 1 N) N))
  (* (fma (sqrt (/ 0.3333333333333333 N)) (sqrt (/ 0.3333333333333333 N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (/ (/ 1 N) N))
  (* (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (/ (/ 1 N) N))
  (* (fma (sqrt (/ 0.3333333333333333 N)) (sqrt (/ 0.3333333333333333 N)) (- (* (sqrt 0.5) (sqrt 0.5)))) (/ (/ 1 N) N))
  (* (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (/ (/ 1 N) N))
  (* (fma (sqrt (/ 0.3333333333333333 N)) (sqrt (/ 0.3333333333333333 N)) (- (* 0.5 1))) (/ (/ 1 N) N))
  (* (fma (- 0.5) 1 (* 0.5 1)) (/ (/ 1 N) N))
  (* (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt N) (cbrt N))) (/ (cbrt 0.3333333333333333) (cbrt N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (/ (/ 1 N) N))
  (* (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (/ (/ 1 N) N))
  (* (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt N) (cbrt N))) (/ (cbrt 0.3333333333333333) (cbrt N)) (- (* (sqrt 0.5) (sqrt 0.5)))) (/ (/ 1 N) N))
  (* (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (/ (/ 1 N) N))
  (* (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt N) (cbrt N))) (/ (cbrt 0.3333333333333333) (cbrt N)) (- (* 0.5 1))) (/ (/ 1 N) N))
  (* (fma (- 0.5) 1 (* 0.5 1)) (/ (/ 1 N) N))
  (* (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt N)) (/ (cbrt 0.3333333333333333) (sqrt N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (/ (/ 1 N) N))
  (* (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (/ (/ 1 N) N))
  (* (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt N)) (/ (cbrt 0.3333333333333333) (sqrt N)) (- (* (sqrt 0.5) (sqrt 0.5)))) (/ (/ 1 N) N))
  (* (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (/ (/ 1 N) N))
  (* (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt N)) (/ (cbrt 0.3333333333333333) (sqrt N)) (- (* 0.5 1))) (/ (/ 1 N) N))
  (* (fma (- 0.5) 1 (* 0.5 1)) (/ (/ 1 N) N))
  (* (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) (/ (cbrt 0.3333333333333333) N) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (/ (/ 1 N) N))
  (* (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (/ (/ 1 N) N))
  (* (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) (/ (cbrt 0.3333333333333333) N) (- (* (sqrt 0.5) (sqrt 0.5)))) (/ (/ 1 N) N))
  (* (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (/ (/ 1 N) N))
  (* (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) (/ (cbrt 0.3333333333333333) N) (- (* 0.5 1))) (/ (/ 1 N) N))
  (* (fma (- 0.5) 1 (* 0.5 1)) (/ (/ 1 N) N))
  (* (fma (/ (sqrt 0.3333333333333333) (* (cbrt N) (cbrt N))) (/ (sqrt 0.3333333333333333) (cbrt N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (/ (/ 1 N) N))
  (* (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (/ (/ 1 N) N))
  (* (fma (/ (sqrt 0.3333333333333333) (* (cbrt N) (cbrt N))) (/ (sqrt 0.3333333333333333) (cbrt N)) (- (* (sqrt 0.5) (sqrt 0.5)))) (/ (/ 1 N) N))
  (* (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (/ (/ 1 N) N))
  (* (fma (/ (sqrt 0.3333333333333333) (* (cbrt N) (cbrt N))) (/ (sqrt 0.3333333333333333) (cbrt N)) (- (* 0.5 1))) (/ (/ 1 N) N))
  (* (fma (- 0.5) 1 (* 0.5 1)) (/ (/ 1 N) N))
  (* (fma (/ (sqrt 0.3333333333333333) (sqrt N)) (/ (sqrt 0.3333333333333333) (sqrt N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (/ (/ 1 N) N))
  (* (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (/ (/ 1 N) N))
  (* (fma (/ (sqrt 0.3333333333333333) (sqrt N)) (/ (sqrt 0.3333333333333333) (sqrt N)) (- (* (sqrt 0.5) (sqrt 0.5)))) (/ (/ 1 N) N))
  (* (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (/ (/ 1 N) N))
  (* (fma (/ (sqrt 0.3333333333333333) (sqrt N)) (/ (sqrt 0.3333333333333333) (sqrt N)) (- (* 0.5 1))) (/ (/ 1 N) N))
  (* (fma (- 0.5) 1 (* 0.5 1)) (/ (/ 1 N) N))
  (* (fma (/ (sqrt 0.3333333333333333) 1) (/ (sqrt 0.3333333333333333) N) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (/ (/ 1 N) N))
  (* (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (/ (/ 1 N) N))
  (* (fma (/ (sqrt 0.3333333333333333) 1) (/ (sqrt 0.3333333333333333) N) (- (* (sqrt 0.5) (sqrt 0.5)))) (/ (/ 1 N) N))
  (* (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (/ (/ 1 N) N))
  (* (fma (/ (sqrt 0.3333333333333333) 1) (/ (sqrt 0.3333333333333333) N) (- (* 0.5 1))) (/ (/ 1 N) N))
  (* (fma (- 0.5) 1 (* 0.5 1)) (/ (/ 1 N) N))
  (* (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 0.3333333333333333 (cbrt N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (/ (/ 1 N) N))
  (* (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (/ (/ 1 N) N))
  (* (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 0.3333333333333333 (cbrt N)) (- (* (sqrt 0.5) (sqrt 0.5)))) (/ (/ 1 N) N))
  (* (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (/ (/ 1 N) N))
  (* (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 0.3333333333333333 (cbrt N)) (- (* 0.5 1))) (/ (/ 1 N) N))
  (* (fma (- 0.5) 1 (* 0.5 1)) (/ (/ 1 N) N))
  (* (fma (/ 1 (sqrt N)) (/ 0.3333333333333333 (sqrt N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (/ (/ 1 N) N))
  (* (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (/ (/ 1 N) N))
  (* (fma (/ 1 (sqrt N)) (/ 0.3333333333333333 (sqrt N)) (- (* (sqrt 0.5) (sqrt 0.5)))) (/ (/ 1 N) N))
  (* (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (/ (/ 1 N) N))
  (* (fma (/ 1 (sqrt N)) (/ 0.3333333333333333 (sqrt N)) (- (* 0.5 1))) (/ (/ 1 N) N))
  (* (fma (- 0.5) 1 (* 0.5 1)) (/ (/ 1 N) N))
  (* (fma (/ 1 1) (/ 0.3333333333333333 N) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (/ (/ 1 N) N))
  (* (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (/ (/ 1 N) N))
  (* (fma (/ 1 1) (/ 0.3333333333333333 N) (- (* (sqrt 0.5) (sqrt 0.5)))) (/ (/ 1 N) N))
  (* (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (/ (/ 1 N) N))
  (* (fma (/ 1 1) (/ 0.3333333333333333 N) (- (* 0.5 1))) (/ (/ 1 N) N))
  (* (fma (- 0.5) 1 (* 0.5 1)) (/ (/ 1 N) N))
  (* (fma 1 (/ 0.3333333333333333 N) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (/ (/ 1 N) N))
  (* (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (/ (/ 1 N) N))
  (* (fma 1 (/ 0.3333333333333333 N) (- (* (sqrt 0.5) (sqrt 0.5)))) (/ (/ 1 N) N))
  (* (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (/ (/ 1 N) N))
  (* (fma 1 (/ 0.3333333333333333 N) (- (* 0.5 1))) (/ (/ 1 N) N))
  (* (fma (- 0.5) 1 (* 0.5 1)) (/ (/ 1 N) N))
  (* (fma 0.3333333333333333 (/ 1 N) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (/ (/ 1 N) N))
  (* (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (/ (/ 1 N) N))
  (* (fma 0.3333333333333333 (/ 1 N) (- (* (sqrt 0.5) (sqrt 0.5)))) (/ (/ 1 N) N))
  (* (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (/ (/ 1 N) N))
  (* (fma 0.3333333333333333 (/ 1 N) (- (* 0.5 1))) (/ (/ 1 N) N))
  (* (fma (- 0.5) 1 (* 0.5 1)) (/ (/ 1 N) N))
  (* (/ 0.3333333333333333 N) (/ (/ 1 N) N))
  (* (- 0.5) (/ (/ 1 N) N))
  (* (/ 0.3333333333333333 N) (/ (/ 1 N) N))
  (* (- 0.5) (/ (/ 1 N) N))
  (* (/ (/ 1 N) N) (* (cbrt (- (/ 0.3333333333333333 N) 0.5)) (cbrt (- (/ 0.3333333333333333 N) 0.5))))
  (* (/ (/ 1 N) N) (sqrt (- (/ 0.3333333333333333 N) 0.5)))
  (* (/ (/ 1 N) N) 1)
  (* (/ (/ 1 N) N) (+ (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)))
  (* (/ (/ 1 N) N) (+ (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5)))
  (* (/ (/ 1 N) N) 1)
  (* (cbrt (/ (/ 1 N) N)) (- (/ 0.3333333333333333 N) 0.5))
  (* (sqrt (/ (/ 1 N) N)) (- (/ 0.3333333333333333 N) 0.5))
  (* (/ (cbrt (/ 1 N)) (cbrt N)) (- (/ 0.3333333333333333 N) 0.5))
  (* (/ (cbrt (/ 1 N)) (sqrt N)) (- (/ 0.3333333333333333 N) 0.5))
  (* (/ (cbrt (/ 1 N)) N) (- (/ 0.3333333333333333 N) 0.5))
  (* (/ (sqrt (/ 1 N)) (cbrt N)) (- (/ 0.3333333333333333 N) 0.5))
  (* (/ (sqrt (/ 1 N)) (sqrt N)) (- (/ 0.3333333333333333 N) 0.5))
  (* (/ (sqrt (/ 1 N)) N) (- (/ 0.3333333333333333 N) 0.5))
  (* (/ (/ (cbrt 1) (cbrt N)) (cbrt N)) (- (/ 0.3333333333333333 N) 0.5))
  (* (/ (/ (cbrt 1) (cbrt N)) (sqrt N)) (- (/ 0.3333333333333333 N) 0.5))
  (* (/ (/ (cbrt 1) (cbrt N)) N) (- (/ 0.3333333333333333 N) 0.5))
  (* (/ (/ (cbrt 1) (sqrt N)) (cbrt N)) (- (/ 0.3333333333333333 N) 0.5))
  (* (/ (/ (cbrt 1) (sqrt N)) (sqrt N)) (- (/ 0.3333333333333333 N) 0.5))
  (* (/ (/ (cbrt 1) (sqrt N)) N) (- (/ 0.3333333333333333 N) 0.5))
  (* (/ (/ (cbrt 1) N) (cbrt N)) (- (/ 0.3333333333333333 N) 0.5))
  (* (/ (/ (cbrt 1) N) (sqrt N)) (- (/ 0.3333333333333333 N) 0.5))
  (* (/ (/ (cbrt 1) N) N) (- (/ 0.3333333333333333 N) 0.5))
  (* (/ (/ (sqrt 1) (cbrt N)) (cbrt N)) (- (/ 0.3333333333333333 N) 0.5))
  (* (/ (/ (sqrt 1) (cbrt N)) (sqrt N)) (- (/ 0.3333333333333333 N) 0.5))
  (* (/ (/ (sqrt 1) (cbrt N)) N) (- (/ 0.3333333333333333 N) 0.5))
  (* (/ (/ (sqrt 1) (sqrt N)) (cbrt N)) (- (/ 0.3333333333333333 N) 0.5))
  (* (/ (/ (sqrt 1) (sqrt N)) (sqrt N)) (- (/ 0.3333333333333333 N) 0.5))
  (* (/ (/ (sqrt 1) (sqrt N)) N) (- (/ 0.3333333333333333 N) 0.5))
  (* (/ (/ (sqrt 1) N) (cbrt N)) (- (/ 0.3333333333333333 N) 0.5))
  (* (/ (/ (sqrt 1) N) (sqrt N)) (- (/ 0.3333333333333333 N) 0.5))
  (* (/ (/ (sqrt 1) N) N) (- (/ 0.3333333333333333 N) 0.5))
  (* (/ (/ 1 (cbrt N)) (cbrt N)) (- (/ 0.3333333333333333 N) 0.5))
  (* (/ (/ 1 (cbrt N)) (sqrt N)) (- (/ 0.3333333333333333 N) 0.5))
  (* (/ (/ 1 (cbrt N)) N) (- (/ 0.3333333333333333 N) 0.5))
  (* (/ (/ 1 (sqrt N)) (cbrt N)) (- (/ 0.3333333333333333 N) 0.5))
  (* (/ (/ 1 (sqrt N)) (sqrt N)) (- (/ 0.3333333333333333 N) 0.5))
  (* (/ (/ 1 (sqrt N)) N) (- (/ 0.3333333333333333 N) 0.5))
  (* (/ (/ 1 N) (cbrt N)) (- (/ 0.3333333333333333 N) 0.5))
  (* (/ (/ 1 N) (sqrt N)) (- (/ 0.3333333333333333 N) 0.5))
  (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))
  (* (/ (/ 1 N) (cbrt N)) (- (/ 0.3333333333333333 N) 0.5))
  (* (/ (/ 1 N) (sqrt N)) (- (/ 0.3333333333333333 N) 0.5))
  (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))
  (* (/ (/ 1 N) (cbrt N)) (- (/ 0.3333333333333333 N) 0.5))
  (* (/ (/ 1 N) (sqrt N)) (- (/ 0.3333333333333333 N) 0.5))
  (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))
  (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))
  (* (/ 1 N) (- (/ 0.3333333333333333 N) 0.5))
  (* (/ (/ 1 N) N) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3)))
  (* (/ (/ 1 N) N) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5)))
  (* (/ 1 N) (- (/ 0.3333333333333333 N) 0.5))
  (expm1 (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))))
  (log1p (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))))
  (* (/ 1 N) 1.0)
  (log (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))))
  (exp (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))))
  (* (cbrt (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)))) (cbrt (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)))))
  (cbrt (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))))
  (* (* (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))) (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)))) (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))))
  (sqrt (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))))
  (sqrt (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))))
  (/ 1 (pow N 2))
  (/ 1 (pow N 2))
  (/ 1 (pow N 2))
  (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2))))
  (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2))))
  (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2))))
  (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2))))
  (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))
  (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))
2.689 * * [simplify]: iteration 0: 416 enodes
2.850 * * [simplify]: iteration 1: 1227 enodes
3.310 * * [simplify]: iteration complete: 5001 enodes
3.310 * * [simplify]: Extracting #0: cost 124 inf + 0
3.316 * * [simplify]: Extracting #1: cost 1476 inf + 2
3.324 * * [simplify]: Extracting #2: cost 2173 inf + 6440
3.347 * * [simplify]: Extracting #3: cost 1617 inf + 91139
3.403 * * [simplify]: Extracting #4: cost 507 inf + 314419
3.485 * * [simplify]: Extracting #5: cost 185 inf + 407969
3.592 * * [simplify]: Extracting #6: cost 27 inf + 463648
3.690 * * [simplify]: Extracting #7: cost 0 inf + 473759
3.805 * [simplify]: Simplified to:
  (expm1 (/ 1 (* N N)))
  (log1p (/ 1 (* N N)))
  -2
  -2
  (- (+ (log N) (log N)))
  (- (+ (log N) (log N)))
  (- (+ (log N) (log N)))
  (- (+ (log N) (log N)))
  (- (+ (log N) (log N)))
  (exp (/ 1 (* N N)))
  (/ 1 (* (* (* N N) (* N N)) (* N N)))
  (* (/ (/ 1 (* N N)) (* N N)) (/ 1 (* N N)))
  (* (cbrt (/ 1 (* N N))) (cbrt (/ 1 (* N N))))
  (cbrt (/ 1 (* N N)))
  (* (/ 1 (* N N)) (* (/ 1 (* N N)) (/ 1 (* N N))))
  (sqrt (/ 1 (* N N)))
  (sqrt (/ 1 (* N N)))
  (/ -1 N)
  (- N)
  (* (/ (cbrt (/ 1 N)) (cbrt N)) (/ (cbrt (/ 1 N)) (cbrt N)))
  (/ (cbrt (/ 1 N)) (cbrt N))
  (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (sqrt N))
  (/ (cbrt (/ 1 N)) (sqrt N))
  (* (cbrt (/ 1 N)) (cbrt (/ 1 N)))
  (/ (cbrt (/ 1 N)) N)
  (/ (sqrt (/ 1 N)) (* (cbrt N) (cbrt N)))
  (/ (sqrt (/ 1 N)) (cbrt N))
  (/ (sqrt (/ 1 N)) (sqrt N))
  (/ (sqrt (/ 1 N)) (sqrt N))
  (sqrt (/ 1 N))
  (/ (sqrt (/ 1 N)) N)
  (* (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 (cbrt N)) (cbrt N)))
  (/ (/ 1 (cbrt N)) (cbrt N))
  (/ 1 (* (sqrt N) (* (cbrt N) (cbrt N))))
  (/ (/ 1 (cbrt N)) (sqrt N))
  (/ (/ 1 (cbrt N)) (cbrt N))
  (/ 1 (* N (cbrt N)))
  (/ (/ (/ 1 (sqrt N)) (cbrt N)) (cbrt N))
  (/ (/ 1 (sqrt N)) (cbrt N))
  (/ 1 N)
  (/ 1 N)
  (/ 1 (sqrt N))
  (/ (/ 1 (sqrt N)) N)
  (/ (/ 1 (cbrt N)) (cbrt N))
  (/ (/ 1 N) (cbrt N))
  (/ 1 (sqrt N))
  (/ 1 (* (sqrt N) N))
  1
  (/ 1 (* N N))
  (* (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 (cbrt N)) (cbrt N)))
  (/ (/ 1 (cbrt N)) (cbrt N))
  (/ 1 (* (sqrt N) (* (cbrt N) (cbrt N))))
  (/ (/ 1 (cbrt N)) (sqrt N))
  (/ (/ 1 (cbrt N)) (cbrt N))
  (/ 1 (* N (cbrt N)))
  (/ (/ (/ 1 (sqrt N)) (cbrt N)) (cbrt N))
  (/ (/ 1 (sqrt N)) (cbrt N))
  (/ 1 N)
  (/ 1 N)
  (/ 1 (sqrt N))
  (/ (/ 1 (sqrt N)) N)
  (/ (/ 1 (cbrt N)) (cbrt N))
  (/ (/ 1 N) (cbrt N))
  (/ 1 (sqrt N))
  (/ 1 (* (sqrt N) N))
  1
  (/ 1 (* N N))
  (* (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 (cbrt N)) (cbrt N)))
  (/ (/ 1 (cbrt N)) (cbrt N))
  (/ 1 (* (sqrt N) (* (cbrt N) (cbrt N))))
  (/ (/ 1 (cbrt N)) (sqrt N))
  (/ (/ 1 (cbrt N)) (cbrt N))
  (/ 1 (* N (cbrt N)))
  (/ (/ (/ 1 (sqrt N)) (cbrt N)) (cbrt N))
  (/ (/ 1 (sqrt N)) (cbrt N))
  (/ 1 N)
  (/ 1 N)
  (/ 1 (sqrt N))
  (/ (/ 1 (sqrt N)) N)
  (/ (/ 1 (cbrt N)) (cbrt N))
  (/ (/ 1 N) (cbrt N))
  (/ 1 (sqrt N))
  (/ 1 (* (sqrt N) N))
  1
  (/ 1 (* N N))
  (/ (/ 1 (cbrt N)) (cbrt N))
  (/ (/ 1 N) (cbrt N))
  (/ 1 (sqrt N))
  (/ 1 (* (sqrt N) N))
  1
  (/ 1 (* N N))
  (/ (/ 1 (cbrt N)) (cbrt N))
  (/ (/ 1 N) (cbrt N))
  (/ 1 (sqrt N))
  (/ 1 (* (sqrt N) N))
  1
  (/ 1 (* N N))
  (/ 1 N)
  (* N N)
  (/ 1 (* (cbrt N) (* (cbrt N) N)))
  (/ 1 (* (sqrt N) N))
  (/ 1 N)
  (/ N (cbrt (/ 1 N)))
  (/ N (sqrt (/ 1 N)))
  (* N (cbrt N))
  (* N (sqrt N))
  (* N N)
  (* N (cbrt N))
  (* N (sqrt N))
  (* N N)
  (* N (cbrt N))
  (* N (sqrt N))
  (* N N)
  (* N N)
  (* N N)
  (* N N)
  (expm1 (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N))
  (log1p (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N))
  (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)
  (log (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N))
  (log (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N))
  (log (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N))
  (log (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N))
  (log (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N))
  (log (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N))
  (exp (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N))
  (* (/ 1 (* (* (* N N) (* N N)) (* N N))) (* (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)) (- (/ 0.3333333333333333 N) 0.5)))
  (* (* (* (/ (/ 1 (* N N)) (* N N)) (/ 1 (* N N))) (- (/ 0.3333333333333333 N) 0.5)) (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)))
  (* (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)) (* (- (/ 0.3333333333333333 N) 0.5) (* (/ 1 (* N N)) (* (/ 1 (* N N)) (/ 1 (* N N))))))
  (* (cbrt (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)) (cbrt (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)))
  (cbrt (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N))
  (* (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N) (* (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)))
  (sqrt (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N))
  (sqrt (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N))
  (/ (- (* (/ 0.3333333333333333 N) (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N))) (* (* 0.5 0.5) 0.5)) N)
  (* N (fma (/ 0.3333333333333333 N) (/ 0.3333333333333333 N) (* 0.5 (+ 0.5 (/ 0.3333333333333333 N)))))
  (/ (* (+ (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)) N)
  (* (+ (/ 0.3333333333333333 N) 0.5) N)
  (* (sqrt (/ 1 (* N N))) (sqrt (- (/ 0.3333333333333333 N) 0.5)))
  (* (sqrt (/ 1 (* N N))) (sqrt (- (/ 0.3333333333333333 N) 0.5)))
  (* (sqrt (- (/ 0.3333333333333333 N) 0.5)) (/ (sqrt (/ 1 N)) (sqrt N)))
  (* (sqrt (- (/ 0.3333333333333333 N) 0.5)) (/ (sqrt (/ 1 N)) (sqrt N)))
  (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N)
  (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N)
  (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N)
  (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N)
  (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N)
  (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N)
  (/ (* (/ 1 N) (fma (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) (cbrt (/ 0.3333333333333333 N)) (- 0.5))) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (* (/ 1 N) (fma (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) (cbrt (/ 0.3333333333333333 N)) (- 0.5))) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (* (/ 1 N) (fma (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) (cbrt (/ 0.3333333333333333 N)) (- 0.5))) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (* (fma (* (/ (cbrt 0.3333333333333333) (cbrt N)) (/ (cbrt 0.3333333333333333) (cbrt N))) (/ (cbrt 0.3333333333333333) (cbrt N)) (- 0.5)) (/ 1 N)) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (* (fma (* (/ (cbrt 0.3333333333333333) (cbrt N)) (/ (cbrt 0.3333333333333333) (cbrt N))) (/ (cbrt 0.3333333333333333) (cbrt N)) (- 0.5)) (/ 1 N)) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (* (fma (* (/ (cbrt 0.3333333333333333) (cbrt N)) (/ (cbrt 0.3333333333333333) (cbrt N))) (/ (cbrt 0.3333333333333333) (cbrt N)) (- 0.5)) (/ 1 N)) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (* (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt N)) (/ (cbrt 0.3333333333333333) (sqrt N)) (- 0.5)) (/ 1 (* N N)))
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (* (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt N)) (/ (cbrt 0.3333333333333333) (sqrt N)) (- 0.5)) (/ 1 (* N N)))
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (* (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt N)) (/ (cbrt 0.3333333333333333) (sqrt N)) (- 0.5)) (/ 1 (* N N)))
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (* (/ 1 (* N N)) (fma (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) N) (- 0.5)))
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (* (/ 1 (* N N)) (fma (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) N) (- 0.5)))
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (* (/ 1 (* N N)) (fma (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) N) (- 0.5)))
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (* (fma (/ (sqrt 0.3333333333333333) (* (cbrt N) (cbrt N))) (/ (sqrt 0.3333333333333333) (cbrt N)) (- 0.5)) (/ 1 N)) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (* (fma (/ (sqrt 0.3333333333333333) (* (cbrt N) (cbrt N))) (/ (sqrt 0.3333333333333333) (cbrt N)) (- 0.5)) (/ 1 N)) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (* (fma (/ (sqrt 0.3333333333333333) (* (cbrt N) (cbrt N))) (/ (sqrt 0.3333333333333333) (cbrt N)) (- 0.5)) (/ 1 N)) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (* (fma (/ (sqrt 0.3333333333333333) (sqrt N)) (/ (sqrt 0.3333333333333333) (sqrt N)) (- 0.5)) 1) (* N N))
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (* (fma (/ (sqrt 0.3333333333333333) (sqrt N)) (/ (sqrt 0.3333333333333333) (sqrt N)) (- 0.5)) 1) (* N N))
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (* (fma (/ (sqrt 0.3333333333333333) (sqrt N)) (/ (sqrt 0.3333333333333333) (sqrt N)) (- 0.5)) 1) (* N N))
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (* (fma (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) N) (- 0.5)) (/ 1 (* N N)))
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (* (fma (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) N) (- 0.5)) (/ 1 (* N N)))
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (* (fma (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) N) (- 0.5)) (/ 1 (* N N)))
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (* (fma (/ (/ 1 (cbrt N)) (cbrt N)) (/ 0.3333333333333333 (cbrt N)) (- 0.5)) (/ 1 (* N N)))
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (* (fma (/ (/ 1 (cbrt N)) (cbrt N)) (/ 0.3333333333333333 (cbrt N)) (- 0.5)) (/ 1 (* N N)))
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (* (fma (/ (/ 1 (cbrt N)) (cbrt N)) (/ 0.3333333333333333 (cbrt N)) (- 0.5)) (/ 1 (* N N)))
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (* (fma (/ 1 (sqrt N)) (/ 0.3333333333333333 (sqrt N)) (- 0.5)) (/ 1 N)) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (* (fma (/ 1 (sqrt N)) (/ 0.3333333333333333 (sqrt N)) (- 0.5)) (/ 1 N)) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (* (fma (/ 1 (sqrt N)) (/ 0.3333333333333333 (sqrt N)) (- 0.5)) (/ 1 N)) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (* (fma 0.3333333333333333 (/ 1 N) (- 0.5)) (/ 1 N)) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (* (fma 0.3333333333333333 (/ 1 N) (- 0.5)) (/ 1 N)) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (* (fma 0.3333333333333333 (/ 1 N) (- 0.5)) (/ 1 N)) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)
  (* 0.5 (- (/ 1 (* N N))))
  (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)
  (* 0.5 (- (/ 1 (* N N))))
  (/ (* (fma (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) (cbrt (/ 0.3333333333333333 N)) (- 0.5)) (/ 1 N)) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (* (fma (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) (cbrt (/ 0.3333333333333333 N)) (- 0.5)) (/ 1 N)) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (* (fma (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) (cbrt (/ 0.3333333333333333 N)) (- 0.5)) (/ 1 N)) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (* (fma (* (/ (cbrt 0.3333333333333333) (cbrt N)) (/ (cbrt 0.3333333333333333) (cbrt N))) (/ (cbrt 0.3333333333333333) (cbrt N)) (- 0.5)) (/ 1 N)) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (* (fma (* (/ (cbrt 0.3333333333333333) (cbrt N)) (/ (cbrt 0.3333333333333333) (cbrt N))) (/ (cbrt 0.3333333333333333) (cbrt N)) (- 0.5)) (/ 1 N)) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (* (fma (* (/ (cbrt 0.3333333333333333) (cbrt N)) (/ (cbrt 0.3333333333333333) (cbrt N))) (/ (cbrt 0.3333333333333333) (cbrt N)) (- 0.5)) (/ 1 N)) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (* (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt N)) (/ (cbrt 0.3333333333333333) (sqrt N)) (- 0.5)) (/ 1 (* N N)))
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (* (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt N)) (/ (cbrt 0.3333333333333333) (sqrt N)) (- 0.5)) (/ 1 (* N N)))
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (* (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt N)) (/ (cbrt 0.3333333333333333) (sqrt N)) (- 0.5)) (/ 1 (* N N)))
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (* (fma (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) N) (- 0.5)) 1) (* N N))
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (* (fma (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) N) (- 0.5)) 1) (* N N))
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (* (fma (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) N) (- 0.5)) 1) (* N N))
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (* (fma (/ (sqrt 0.3333333333333333) (* (cbrt N) (cbrt N))) (/ (sqrt 0.3333333333333333) (cbrt N)) (- 0.5)) (/ 1 N)) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (* (fma (/ (sqrt 0.3333333333333333) (* (cbrt N) (cbrt N))) (/ (sqrt 0.3333333333333333) (cbrt N)) (- 0.5)) (/ 1 N)) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (* (fma (/ (sqrt 0.3333333333333333) (* (cbrt N) (cbrt N))) (/ (sqrt 0.3333333333333333) (cbrt N)) (- 0.5)) (/ 1 N)) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (* (fma (/ (sqrt 0.3333333333333333) (sqrt N)) (/ (sqrt 0.3333333333333333) (sqrt N)) (- 0.5)) 1) (* N N))
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (* (fma (/ (sqrt 0.3333333333333333) (sqrt N)) (/ (sqrt 0.3333333333333333) (sqrt N)) (- 0.5)) 1) (* N N))
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (* (fma (/ (sqrt 0.3333333333333333) (sqrt N)) (/ (sqrt 0.3333333333333333) (sqrt N)) (- 0.5)) 1) (* N N))
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (* (fma (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) N) (- 0.5)) (/ 1 (* N N)))
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (* (fma (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) N) (- 0.5)) (/ 1 (* N N)))
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (* (fma (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) N) (- 0.5)) (/ 1 (* N N)))
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (* (fma (/ (/ 1 (cbrt N)) (cbrt N)) (/ 0.3333333333333333 (cbrt N)) (- 0.5)) (/ 1 N)) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (* (fma (/ (/ 1 (cbrt N)) (cbrt N)) (/ 0.3333333333333333 (cbrt N)) (- 0.5)) (/ 1 N)) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (* (fma (/ (/ 1 (cbrt N)) (cbrt N)) (/ 0.3333333333333333 (cbrt N)) (- 0.5)) (/ 1 N)) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (* (/ 1 (* N N)) (fma (/ 1 (sqrt N)) (/ 0.3333333333333333 (sqrt N)) (- 0.5)))
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (* (/ 1 (* N N)) (fma (/ 1 (sqrt N)) (/ 0.3333333333333333 (sqrt N)) (- 0.5)))
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (* (/ 1 (* N N)) (fma (/ 1 (sqrt N)) (/ 0.3333333333333333 (sqrt N)) (- 0.5)))
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (* (fma 0.3333333333333333 (/ 1 N) (- 0.5)) (/ 1 N)) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (* (fma 0.3333333333333333 (/ 1 N) (- 0.5)) (/ 1 N)) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (* (fma 0.3333333333333333 (/ 1 N) (- 0.5)) (/ 1 N)) N)
  (/ (* (fma 0.5 -1 0.5) 1) (* N N))
  (/ (/ (* 0.3333333333333333 (/ 1 N)) N) N)
  (* 0.5 (- (/ 1 (* N N))))
  (/ (/ (* 0.3333333333333333 (/ 1 N)) N) N)
  (* 0.5 (- (/ 1 (* N N))))
  (/ (* (* (/ 1 N) (cbrt (- (/ 0.3333333333333333 N) 0.5))) (cbrt (- (/ 0.3333333333333333 N) 0.5))) N)
  (/ (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) N)
  (/ 1 (* N N))
  (* (+ (sqrt 0.5) (sqrt (/ 0.3333333333333333 N))) (/ 1 (* N N)))
  (* (+ (sqrt 0.5) (/ (sqrt 0.3333333333333333) (sqrt N))) (/ 1 (* N N)))
  (/ 1 (* N N))
  (* (- (/ 0.3333333333333333 N) 0.5) (cbrt (/ 1 (* N N))))
  (* (sqrt (/ 1 (* N N))) (- (/ 0.3333333333333333 N) 0.5))
  (* (- (/ 0.3333333333333333 N) 0.5) (/ (cbrt (/ 1 N)) (cbrt N)))
  (* (/ (cbrt (/ 1 N)) (sqrt N)) (- (/ 0.3333333333333333 N) 0.5))
  (/ (* (cbrt (/ 1 N)) (- (/ 0.3333333333333333 N) 0.5)) N)
  (/ (* (- (/ 0.3333333333333333 N) 0.5) (sqrt (/ 1 N))) (cbrt N))
  (* (- (/ 0.3333333333333333 N) 0.5) (/ (sqrt (/ 1 N)) (sqrt N)))
  (* (/ (sqrt (/ 1 N)) N) (- (/ 0.3333333333333333 N) 0.5))
  (/ (* (- (/ 0.3333333333333333 N) 0.5) 1) (* (cbrt N) (cbrt N)))
  (/ (* (- (/ 0.3333333333333333 N) 0.5) 1) (* (sqrt N) (cbrt N)))
  (/ (* (- (/ 0.3333333333333333 N) 0.5) (/ 1 (cbrt N))) N)
  (/ (* (- (/ 0.3333333333333333 N) 0.5) (/ 1 (sqrt N))) (cbrt N))
  (/ (- (/ 0.3333333333333333 N) 0.5) N)
  (/ (* (- (/ 0.3333333333333333 N) 0.5) (/ 1 (sqrt N))) N)
  (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) (cbrt N))
  (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) (sqrt N))
  (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)
  (/ (* (- (/ 0.3333333333333333 N) 0.5) (/ 1 (cbrt N))) (cbrt N))
  (/ (* (- (/ 0.3333333333333333 N) 0.5) 1) (* (sqrt N) (cbrt N)))
  (/ (* (- (/ 0.3333333333333333 N) 0.5) (/ 1 (cbrt N))) N)
  (/ (* (- (/ 0.3333333333333333 N) 0.5) (/ 1 (sqrt N))) (cbrt N))
  (/ (- (/ 0.3333333333333333 N) 0.5) N)
  (/ (* (- (/ 0.3333333333333333 N) 0.5) (/ 1 (sqrt N))) N)
  (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) (cbrt N))
  (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) (sqrt N))
  (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)
  (/ (* (- (/ 0.3333333333333333 N) 0.5) (/ 1 (cbrt N))) (cbrt N))
  (/ (* (- (/ 0.3333333333333333 N) 0.5) 1) (* (sqrt N) (cbrt N)))
  (/ (* (- (/ 0.3333333333333333 N) 0.5) (/ 1 (cbrt N))) N)
  (/ (* (- (/ 0.3333333333333333 N) 0.5) (/ 1 (sqrt N))) (cbrt N))
  (/ (- (/ 0.3333333333333333 N) 0.5) N)
  (/ (* (- (/ 0.3333333333333333 N) 0.5) (/ 1 (sqrt N))) N)
  (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) (cbrt N))
  (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) (sqrt N))
  (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)
  (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) (cbrt N))
  (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) (sqrt N))
  (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)
  (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) (cbrt N))
  (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) (sqrt N))
  (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)
  (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)
  (/ (- (/ 0.3333333333333333 N) 0.5) N)
  (/ (* (/ 1 N) (- (* (/ 0.3333333333333333 N) (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N))) (* (* 0.5 0.5) 0.5))) N)
  (* (/ 1 (* N N)) (* (+ (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)))
  (/ (- (/ 0.3333333333333333 N) 0.5) N)
  (expm1 (+ (/ 1.0 N) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)))
  (log1p (+ (/ 1.0 N) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)))
  (/ 1.0 N)
  (log (+ (/ 1.0 N) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)))
  (exp (+ (/ 1.0 N) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)))
  (* (cbrt (+ (/ 1.0 N) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N))) (cbrt (+ (/ 1.0 N) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N))))
  (cbrt (+ (/ 1.0 N) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)))
  (* (+ (/ 1.0 N) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)) (* (+ (/ 1.0 N) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)) (+ (/ 1.0 N) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N))))
  (sqrt (+ (/ 1.0 N) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)))
  (sqrt (+ (/ 1.0 N) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)))
  (/ 1 (* N N))
  (/ 1 (* N N))
  (/ 1 (* N N))
  (- (/ 0.3333333333333333 (* (* N N) N)) (/ 0.5 (* N N)))
  (- (/ 0.3333333333333333 (* (* N N) N)) (/ 0.5 (* N N)))
  (- (/ 0.3333333333333333 (* (* N N) N)) (/ 0.5 (* N N)))
  (+ (/ 0.3333333333333333 (* (* N N) N)) (- (/ 1.0 N) (/ 0.5 (* N N))))
  (+ (/ 0.3333333333333333 (* (* N N) N)) (- (/ 1.0 N) (/ 0.5 (* N N))))
  (+ (/ 0.3333333333333333 (* (* N N) N)) (- (/ 1.0 N) (/ 0.5 (* N N))))
3.858 * * * [progress]: adding candidates to table
5.212 * * [progress]: iteration 3 / 4
5.212 * * * [progress]: picking best candidate
5.215 * * * * [pick]: Picked  #<alt (λ (N) (log (/ (+ N 1.0) N)))>
5.215 * * * [progress]: localizing error
5.222 * * * [progress]: generating rewritten candidates
5.222 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
5.233 * * * [progress]: generating series expansions
5.233 * * * * [progress]: [ 1 / 1 ] generating series at (2)
5.233 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N))
5.233 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0
5.233 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N
5.233 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N
5.233 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
5.233 * [taylor]: Taking taylor expansion of N in N
5.233 * [backup-simplify]: Simplify 0 into 0
5.233 * [backup-simplify]: Simplify 1 into 1
5.233 * [taylor]: Taking taylor expansion of 1.0 in N
5.233 * [backup-simplify]: Simplify 1.0 into 1.0
5.233 * [taylor]: Taking taylor expansion of N in N
5.233 * [backup-simplify]: Simplify 0 into 0
5.233 * [backup-simplify]: Simplify 1 into 1
5.234 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
5.235 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0
5.235 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
5.235 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N
5.235 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N
5.235 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
5.235 * [taylor]: Taking taylor expansion of N in N
5.235 * [backup-simplify]: Simplify 0 into 0
5.235 * [backup-simplify]: Simplify 1 into 1
5.235 * [taylor]: Taking taylor expansion of 1.0 in N
5.235 * [backup-simplify]: Simplify 1.0 into 1.0
5.235 * [taylor]: Taking taylor expansion of N in N
5.235 * [backup-simplify]: Simplify 0 into 0
5.235 * [backup-simplify]: Simplify 1 into 1
5.236 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
5.236 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0
5.236 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
5.237 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N))
5.238 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N))
5.238 * [backup-simplify]: Simplify (+ 1 0) into 1
5.239 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1
5.245 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0
5.245 * [backup-simplify]: Simplify 1.0 into 1.0
5.246 * [backup-simplify]: Simplify (+ 0 0) into 0
5.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0
5.257 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2))
5.258 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2))
5.264 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N)))
5.264 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0)))
5.264 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0
5.264 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N
5.264 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N
5.264 * [taylor]: Taking taylor expansion of N in N
5.264 * [backup-simplify]: Simplify 0 into 0
5.264 * [backup-simplify]: Simplify 1 into 1
5.264 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
5.264 * [taylor]: Taking taylor expansion of (/ 1 N) in N
5.264 * [taylor]: Taking taylor expansion of N in N
5.264 * [backup-simplify]: Simplify 0 into 0
5.264 * [backup-simplify]: Simplify 1 into 1
5.265 * [backup-simplify]: Simplify (/ 1 1) into 1
5.265 * [taylor]: Taking taylor expansion of 1.0 in N
5.265 * [backup-simplify]: Simplify 1.0 into 1.0
5.266 * [backup-simplify]: Simplify (+ 1 0) into 1
5.266 * [backup-simplify]: Simplify (* 0 1) into 0
5.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.267 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
5.268 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1
5.268 * [backup-simplify]: Simplify (log 1) into 0
5.268 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N
5.269 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N
5.269 * [taylor]: Taking taylor expansion of N in N
5.269 * [backup-simplify]: Simplify 0 into 0
5.269 * [backup-simplify]: Simplify 1 into 1
5.269 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
5.269 * [taylor]: Taking taylor expansion of (/ 1 N) in N
5.269 * [taylor]: Taking taylor expansion of N in N
5.269 * [backup-simplify]: Simplify 0 into 0
5.269 * [backup-simplify]: Simplify 1 into 1
5.269 * [backup-simplify]: Simplify (/ 1 1) into 1
5.269 * [taylor]: Taking taylor expansion of 1.0 in N
5.269 * [backup-simplify]: Simplify 1.0 into 1.0
5.269 * [backup-simplify]: Simplify (+ 1 0) into 1
5.270 * [backup-simplify]: Simplify (* 0 1) into 0
5.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.270 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
5.271 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1
5.271 * [backup-simplify]: Simplify (log 1) into 0
5.271 * [backup-simplify]: Simplify 0 into 0
5.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.272 * [backup-simplify]: Simplify (+ 0 0) into 0
5.273 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0
5.277 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0
5.277 * [backup-simplify]: Simplify 1.0 into 1.0
5.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.278 * [backup-simplify]: Simplify (+ 0 0) into 0
5.278 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0
5.284 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5
5.284 * [backup-simplify]: Simplify -0.5 into -0.5
5.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.285 * [backup-simplify]: Simplify (+ 0 0) into 0
5.286 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0
5.296 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333
5.296 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
5.296 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* -0.5 (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))
5.296 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N)))))
5.296 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0
5.296 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N
5.296 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N
5.296 * [taylor]: Taking taylor expansion of -1 in N
5.296 * [backup-simplify]: Simplify -1 into -1
5.296 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N
5.296 * [taylor]: Taking taylor expansion of N in N
5.296 * [backup-simplify]: Simplify 0 into 0
5.296 * [backup-simplify]: Simplify 1 into 1
5.296 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
5.296 * [taylor]: Taking taylor expansion of 1.0 in N
5.296 * [backup-simplify]: Simplify 1.0 into 1.0
5.296 * [taylor]: Taking taylor expansion of (/ 1 N) in N
5.296 * [taylor]: Taking taylor expansion of N in N
5.296 * [backup-simplify]: Simplify 0 into 0
5.296 * [backup-simplify]: Simplify 1 into 1
5.297 * [backup-simplify]: Simplify (/ 1 1) into 1
5.297 * [backup-simplify]: Simplify (- 1) into -1
5.297 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.297 * [backup-simplify]: Simplify (* 0 -1) into 0
5.298 * [backup-simplify]: Simplify (* -1 0) into 0
5.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.298 * [backup-simplify]: Simplify (- 0) into 0
5.299 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
5.299 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1
5.299 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1
5.300 * [backup-simplify]: Simplify (log 1) into 0
5.300 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N
5.300 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N
5.300 * [taylor]: Taking taylor expansion of -1 in N
5.300 * [backup-simplify]: Simplify -1 into -1
5.300 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N
5.300 * [taylor]: Taking taylor expansion of N in N
5.300 * [backup-simplify]: Simplify 0 into 0
5.300 * [backup-simplify]: Simplify 1 into 1
5.300 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
5.300 * [taylor]: Taking taylor expansion of 1.0 in N
5.300 * [backup-simplify]: Simplify 1.0 into 1.0
5.300 * [taylor]: Taking taylor expansion of (/ 1 N) in N
5.300 * [taylor]: Taking taylor expansion of N in N
5.300 * [backup-simplify]: Simplify 0 into 0
5.300 * [backup-simplify]: Simplify 1 into 1
5.300 * [backup-simplify]: Simplify (/ 1 1) into 1
5.300 * [backup-simplify]: Simplify (- 1) into -1
5.301 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.301 * [backup-simplify]: Simplify (* 0 -1) into 0
5.301 * [backup-simplify]: Simplify (* -1 0) into 0
5.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.302 * [backup-simplify]: Simplify (- 0) into 0
5.303 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
5.304 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1
5.304 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1
5.305 * [backup-simplify]: Simplify (log 1) into 0
5.305 * [backup-simplify]: Simplify 0 into 0
5.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.306 * [backup-simplify]: Simplify (- 0) into 0
5.307 * [backup-simplify]: Simplify (+ 0 0) into 0
5.310 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0
5.312 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0)
5.320 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0
5.320 * [backup-simplify]: Simplify -1.0 into -1.0
5.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.321 * [backup-simplify]: Simplify (- 0) into 0
5.322 * [backup-simplify]: Simplify (+ 0 0) into 0
5.323 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0
5.324 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0
5.337 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5
5.337 * [backup-simplify]: Simplify -0.5 into -0.5
5.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.338 * [backup-simplify]: Simplify (- 0) into 0
5.338 * [backup-simplify]: Simplify (+ 0 0) into 0
5.339 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0
5.340 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0
5.350 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- 1.0)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- 1.0)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -0.3333333333333333
5.350 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333
5.350 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.5 (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))
5.351 * * * [progress]: simplifying candidates
5.351 * [simplify]: Simplifying:
  (expm1 (log (/ (+ N 1.0) N)))
  (log1p (log (/ (+ N 1.0) N)))
  (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 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N)))
  (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))
  (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2))))
5.352 * * [simplify]: iteration 0: 86 enodes
5.371 * * [simplify]: iteration 1: 173 enodes
5.423 * * [simplify]: iteration 2: 467 enodes
5.633 * * [simplify]: iteration 3: 1934 enodes
6.275 * * [simplify]: iteration complete: 5001 enodes
6.275 * * [simplify]: Extracting #0: cost 33 inf + 0
6.277 * * [simplify]: Extracting #1: cost 507 inf + 1
6.297 * * [simplify]: Extracting #2: cost 1450 inf + 3378
6.322 * * [simplify]: Extracting #3: cost 946 inf + 62168
6.368 * * [simplify]: Extracting #4: cost 377 inf + 167615
6.426 * * [simplify]: Extracting #5: cost 73 inf + 257865
6.487 * * [simplify]: Extracting #6: cost 10 inf + 271843
6.575 * * [simplify]: Extracting #7: cost 0 inf + 274583
6.645 * [simplify]: Simplified to:
  (expm1 (log (/ (+ 1.0 N) N)))
  (log1p (log (/ (+ 1.0 N) N)))
  (log (* (cbrt (/ (+ 1.0 N) N)) (cbrt (/ (+ 1.0 N) N))))
  (log (cbrt (/ (+ 1.0 N) N)))
  (log (sqrt (/ (+ 1.0 N) N)))
  (log (sqrt (/ (+ 1.0 N) N)))
  (log (* (/ (cbrt (+ 1.0 N)) (cbrt N)) (/ (cbrt (+ 1.0 N)) (cbrt N))))
  (log (/ (cbrt (+ 1.0 N)) (cbrt N)))
  (log (* (cbrt (+ 1.0 N)) (/ (cbrt (+ 1.0 N)) (sqrt N))))
  (log (/ (cbrt (+ 1.0 N)) (sqrt N)))
  (+ (log (cbrt (+ 1.0 N))) (log (cbrt (+ 1.0 N))))
  (log (/ (cbrt (+ 1.0 N)) N))
  (log (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N))))
  (log (/ (sqrt (+ 1.0 N)) (cbrt N)))
  (log (/ (sqrt (+ 1.0 N)) (sqrt N)))
  (log (/ (sqrt (+ 1.0 N)) (sqrt N)))
  (log (sqrt (+ 1.0 N)))
  (log (/ (sqrt (+ 1.0 N)) N))
  (- (- (log (cbrt N))) (log (cbrt N)))
  (log (/ (+ 1.0 N) (cbrt N)))
  (- (log (sqrt N)))
  (log (/ (+ 1.0 N) (sqrt N)))
  0
  (log (/ (+ 1.0 N) N))
  (- (- (log (cbrt N))) (log (cbrt N)))
  (log (/ (+ 1.0 N) (cbrt N)))
  (- (log (sqrt N)))
  (log (/ (+ 1.0 N) (sqrt N)))
  0
  (log (/ (+ 1.0 N) N))
  0
  (log (/ (+ 1.0 N) N))
  (log (+ 1.0 N))
  (- (log N))
  (log (+ 1.0 N))
  (log N)
  (log (/ (+ 1.0 N) N))
  (log (log (/ (+ 1.0 N) N)))
  (/ (+ 1.0 N) N)
  (* (cbrt (log (/ (+ 1.0 N) N))) (cbrt (log (/ (+ 1.0 N) N))))
  (cbrt (log (/ (+ 1.0 N) N)))
  (* (* (log (/ (+ 1.0 N) N)) (log (/ (+ 1.0 N) N))) (log (/ (+ 1.0 N) N)))
  (sqrt (log (/ (+ 1.0 N) N)))
  (sqrt (log (/ (+ 1.0 N) N)))
  (- (fma (* (/ N 1.0) (/ N 1.0)) -1/2 (fma N 1.0 (log 1.0))) (log N))
  (fma (/ 1 (* N N)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))
  (fma (/ 1 (* N N)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))
6.647 * * * [progress]: adding candidates to table
6.818 * * [progress]: iteration 4 / 4
6.818 * * * [progress]: picking best candidate
6.821 * * * * [pick]: Picked  #<alt (λ (N) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))))>
6.822 * * * [progress]: localizing error
6.848 * * * [progress]: generating rewritten candidates
6.848 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
6.893 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1)
6.908 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1)
6.916 * * * [progress]: generating series expansions
6.916 * * * * [progress]: [ 1 / 3 ] generating series at (2)
6.916 * [backup-simplify]: Simplify (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) into (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N)))
6.916 * [approximate]: Taking taylor expansion of (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) in (N) around 0
6.916 * [taylor]: Taking taylor expansion of (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) in N
6.916 * [taylor]: Taking taylor expansion of (log (* (sqrt (/ 1 N)) (+ N 1.0))) in N
6.916 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N
6.916 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N
6.917 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.917 * [taylor]: Taking taylor expansion of N in N
6.917 * [backup-simplify]: Simplify 0 into 0
6.917 * [backup-simplify]: Simplify 1 into 1
6.917 * [backup-simplify]: Simplify (/ 1 1) into 1
6.918 * [backup-simplify]: Simplify (sqrt 0) into 0
6.919 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.919 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
6.919 * [taylor]: Taking taylor expansion of N in N
6.920 * [backup-simplify]: Simplify 0 into 0
6.920 * [backup-simplify]: Simplify 1 into 1
6.920 * [taylor]: Taking taylor expansion of 1.0 in N
6.920 * [backup-simplify]: Simplify 1.0 into 1.0
6.920 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
6.921 * [backup-simplify]: Simplify (* 0 1.0) into 0
6.921 * [backup-simplify]: Simplify (+ 1 0) into 1
6.923 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 1.0)) into (- +nan.0)
6.923 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0))
6.923 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N
6.923 * [taylor]: Taking taylor expansion of (sqrt N) in N
6.923 * [taylor]: Taking taylor expansion of N in N
6.924 * [backup-simplify]: Simplify 0 into 0
6.924 * [backup-simplify]: Simplify 1 into 1
6.924 * [backup-simplify]: Simplify (sqrt 0) into 0
6.925 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.926 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0)
6.926 * [taylor]: Taking taylor expansion of (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) in N
6.926 * [taylor]: Taking taylor expansion of (log (* (sqrt (/ 1 N)) (+ N 1.0))) in N
6.926 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N
6.926 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N
6.926 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.926 * [taylor]: Taking taylor expansion of N in N
6.926 * [backup-simplify]: Simplify 0 into 0
6.926 * [backup-simplify]: Simplify 1 into 1
6.926 * [backup-simplify]: Simplify (/ 1 1) into 1
6.927 * [backup-simplify]: Simplify (sqrt 0) into 0
6.928 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.928 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
6.928 * [taylor]: Taking taylor expansion of N in N
6.928 * [backup-simplify]: Simplify 0 into 0
6.928 * [backup-simplify]: Simplify 1 into 1
6.928 * [taylor]: Taking taylor expansion of 1.0 in N
6.928 * [backup-simplify]: Simplify 1.0 into 1.0
6.929 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
6.929 * [backup-simplify]: Simplify (* 0 1.0) into 0
6.930 * [backup-simplify]: Simplify (+ 1 0) into 1
6.931 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 1.0)) into (- +nan.0)
6.936 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0))
6.937 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N
6.937 * [taylor]: Taking taylor expansion of (sqrt N) in N
6.937 * [taylor]: Taking taylor expansion of N in N
6.937 * [backup-simplify]: Simplify 0 into 0
6.937 * [backup-simplify]: Simplify 1 into 1
6.937 * [backup-simplify]: Simplify (sqrt 0) into 0
6.938 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.939 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0)
6.940 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log +nan.0)) into (+ (log N) (log +nan.0))
6.940 * [backup-simplify]: Simplify (- (+ (log N) (log +nan.0))) into (- (+ (log N) (log +nan.0)))
6.942 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (- (+ (log N) (log +nan.0)))) into (- (log (- +nan.0)) (+ (log N) (log +nan.0)))
6.943 * [backup-simplify]: Simplify (- (log (- +nan.0)) (+ (log N) (log +nan.0))) into (- (log (- +nan.0)) (+ (log N) (log +nan.0)))
6.943 * [backup-simplify]: Simplify (+ 0 0) into 0
6.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.948 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.950 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1) (* +nan.0 1.0))) into (- +nan.0)
6.959 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0
6.962 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.969 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0
6.969 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.970 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0)
6.970 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.970 * [backup-simplify]: Simplify (+ 0 0) into 0
6.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.975 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
6.980 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1) (* +nan.0 1.0)))) into (- +nan.0)
6.997 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0
7.001 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
7.014 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0
7.014 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
7.015 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0)
7.015 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
7.017 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 2)) (+ (* (- +nan.0) N) (- (log (- +nan.0)) (+ (log N) (log +nan.0))))) into (- (log (- +nan.0)) (+ (* +nan.0 N) (- (+ (log N) (log +nan.0)) (* +nan.0 (pow N 2)))))
7.017 * [backup-simplify]: Simplify (+ (- (log (sqrt (/ 1 N)))) (log (/ (+ (/ 1 N) 1.0) (sqrt (/ 1 N))))) into (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N))))
7.017 * [approximate]: Taking taylor expansion of (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) in (N) around 0
7.017 * [taylor]: Taking taylor expansion of (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) in N
7.017 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (+ (/ 1 N) 1.0))) in N
7.017 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N
7.017 * [taylor]: Taking taylor expansion of (sqrt N) in N
7.017 * [taylor]: Taking taylor expansion of N in N
7.017 * [backup-simplify]: Simplify 0 into 0
7.017 * [backup-simplify]: Simplify 1 into 1
7.017 * [backup-simplify]: Simplify (sqrt 0) into 0
7.018 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.018 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
7.018 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.018 * [taylor]: Taking taylor expansion of N in N
7.018 * [backup-simplify]: Simplify 0 into 0
7.018 * [backup-simplify]: Simplify 1 into 1
7.018 * [backup-simplify]: Simplify (/ 1 1) into 1
7.018 * [taylor]: Taking taylor expansion of 1.0 in N
7.018 * [backup-simplify]: Simplify 1.0 into 1.0
7.019 * [backup-simplify]: Simplify (+ 1 0) into 1
7.019 * [backup-simplify]: Simplify (* 0 1) into 0
7.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.020 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
7.020 * [backup-simplify]: Simplify (+ (* 0 1.0) (* +nan.0 1)) into (- +nan.0)
7.021 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0))
7.021 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N
7.021 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N
7.021 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.021 * [taylor]: Taking taylor expansion of N in N
7.021 * [backup-simplify]: Simplify 0 into 0
7.021 * [backup-simplify]: Simplify 1 into 1
7.021 * [backup-simplify]: Simplify (/ 1 1) into 1
7.021 * [backup-simplify]: Simplify (sqrt 0) into 0
7.022 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.023 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0)
7.023 * [taylor]: Taking taylor expansion of (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) in N
7.023 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (+ (/ 1 N) 1.0))) in N
7.023 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N
7.023 * [taylor]: Taking taylor expansion of (sqrt N) in N
7.023 * [taylor]: Taking taylor expansion of N in N
7.023 * [backup-simplify]: Simplify 0 into 0
7.023 * [backup-simplify]: Simplify 1 into 1
7.023 * [backup-simplify]: Simplify (sqrt 0) into 0
7.024 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.024 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
7.024 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.024 * [taylor]: Taking taylor expansion of N in N
7.024 * [backup-simplify]: Simplify 0 into 0
7.024 * [backup-simplify]: Simplify 1 into 1
7.024 * [backup-simplify]: Simplify (/ 1 1) into 1
7.024 * [taylor]: Taking taylor expansion of 1.0 in N
7.024 * [backup-simplify]: Simplify 1.0 into 1.0
7.024 * [backup-simplify]: Simplify (+ 1 0) into 1
7.024 * [backup-simplify]: Simplify (* 0 1) into 0
7.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.025 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
7.026 * [backup-simplify]: Simplify (+ (* 0 1.0) (* +nan.0 1)) into (- +nan.0)
7.027 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0))
7.027 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N
7.027 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N
7.027 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.027 * [taylor]: Taking taylor expansion of N in N
7.027 * [backup-simplify]: Simplify 0 into 0
7.027 * [backup-simplify]: Simplify 1 into 1
7.027 * [backup-simplify]: Simplify (/ 1 1) into 1
7.027 * [backup-simplify]: Simplify (sqrt 0) into 0
7.028 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.028 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0)
7.029 * [backup-simplify]: Simplify (- (log +nan.0)) into (- (log +nan.0))
7.030 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (- (log +nan.0))) into (- (log (- +nan.0)) (log +nan.0))
7.031 * [backup-simplify]: Simplify (- (log (- +nan.0)) (log +nan.0)) into (- (log (- +nan.0)) (log +nan.0))
7.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.032 * [backup-simplify]: Simplify (+ 0 0) into 0
7.034 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.035 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1.0) (* +nan.0 1))) into (- +nan.0)
7.040 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0
7.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.042 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.046 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0
7.047 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
7.048 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0)
7.048 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
7.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.049 * [backup-simplify]: Simplify (+ 0 0) into 0
7.056 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
7.060 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1.0) (* +nan.0 1)))) into (- +nan.0)
7.076 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0
7.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.079 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
7.087 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0
7.087 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
7.087 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0)
7.088 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
7.089 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (- (log (- +nan.0)) (log +nan.0)))) into (- (log (- +nan.0)) (+ (* +nan.0 (/ 1 (pow N 2))) (- (log +nan.0) (* +nan.0 (/ 1 N)))))
7.089 * [backup-simplify]: Simplify (+ (- (log (sqrt (/ 1 (- N))))) (log (/ (+ (/ 1 (- N)) 1.0) (sqrt (/ 1 (- N)))))) into (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N))))
7.089 * [approximate]: Taking taylor expansion of (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) in (N) around 0
7.090 * [taylor]: Taking taylor expansion of (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) in N
7.090 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) in N
7.090 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N
7.090 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
7.090 * [taylor]: Taking taylor expansion of 1.0 in N
7.090 * [backup-simplify]: Simplify 1.0 into 1.0
7.090 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.090 * [taylor]: Taking taylor expansion of N in N
7.090 * [backup-simplify]: Simplify 0 into 0
7.090 * [backup-simplify]: Simplify 1 into 1
7.090 * [backup-simplify]: Simplify (/ 1 1) into 1
7.090 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N
7.090 * [taylor]: Taking taylor expansion of (/ -1 N) in N
7.090 * [taylor]: Taking taylor expansion of -1 in N
7.090 * [backup-simplify]: Simplify -1 into -1
7.090 * [taylor]: Taking taylor expansion of N in N
7.090 * [backup-simplify]: Simplify 0 into 0
7.090 * [backup-simplify]: Simplify 1 into 1
7.090 * [backup-simplify]: Simplify (/ -1 1) into -1
7.091 * [backup-simplify]: Simplify (sqrt 0) into 0
7.091 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
7.092 * [backup-simplify]: Simplify (- 1) into -1
7.092 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.092 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0
7.092 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0)
7.092 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N
7.092 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N
7.092 * [taylor]: Taking taylor expansion of (/ -1 N) in N
7.092 * [taylor]: Taking taylor expansion of -1 in N
7.092 * [backup-simplify]: Simplify -1 into -1
7.092 * [taylor]: Taking taylor expansion of N in N
7.092 * [backup-simplify]: Simplify 0 into 0
7.092 * [backup-simplify]: Simplify 1 into 1
7.093 * [backup-simplify]: Simplify (/ -1 1) into -1
7.093 * [backup-simplify]: Simplify (sqrt 0) into 0
7.094 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
7.094 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0)
7.094 * [taylor]: Taking taylor expansion of (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) in N
7.094 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) in N
7.094 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N
7.094 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
7.094 * [taylor]: Taking taylor expansion of 1.0 in N
7.094 * [backup-simplify]: Simplify 1.0 into 1.0
7.094 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.094 * [taylor]: Taking taylor expansion of N in N
7.094 * [backup-simplify]: Simplify 0 into 0
7.094 * [backup-simplify]: Simplify 1 into 1
7.094 * [backup-simplify]: Simplify (/ 1 1) into 1
7.094 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N
7.094 * [taylor]: Taking taylor expansion of (/ -1 N) in N
7.094 * [taylor]: Taking taylor expansion of -1 in N
7.094 * [backup-simplify]: Simplify -1 into -1
7.094 * [taylor]: Taking taylor expansion of N in N
7.094 * [backup-simplify]: Simplify 0 into 0
7.094 * [backup-simplify]: Simplify 1 into 1
7.095 * [backup-simplify]: Simplify (/ -1 1) into -1
7.095 * [backup-simplify]: Simplify (sqrt 0) into 0
7.096 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
7.096 * [backup-simplify]: Simplify (- 1) into -1
7.096 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.096 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0
7.097 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0)
7.097 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N
7.097 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N
7.097 * [taylor]: Taking taylor expansion of (/ -1 N) in N
7.097 * [taylor]: Taking taylor expansion of -1 in N
7.097 * [backup-simplify]: Simplify -1 into -1
7.097 * [taylor]: Taking taylor expansion of N in N
7.097 * [backup-simplify]: Simplify 0 into 0
7.097 * [backup-simplify]: Simplify 1 into 1
7.097 * [backup-simplify]: Simplify (/ -1 1) into -1
7.097 * [backup-simplify]: Simplify (sqrt 0) into 0
7.098 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
7.098 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0)
7.099 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log +nan.0)) into (- (log +nan.0) (log N))
7.099 * [backup-simplify]: Simplify (- (log +nan.0)) into (- (log +nan.0))
7.100 * [backup-simplify]: Simplify (+ (- (log +nan.0) (log N)) (- (log +nan.0))) into (- (log N))
7.100 * [backup-simplify]: Simplify (- (log N)) into (- (log N))
7.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.101 * [backup-simplify]: Simplify (- 0) into 0
7.101 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
7.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.105 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.108 * [backup-simplify]: Simplify (- (/ 1.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
7.116 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow +nan.0 1)))) 1) into +nan.0
7.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.119 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.122 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0
7.123 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
7.123 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0)
7.123 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
7.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.124 * [backup-simplify]: Simplify (- 0) into 0
7.124 * [backup-simplify]: Simplify (+ 0 0) into 0
7.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.127 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
7.130 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
7.139 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow +nan.0 1)))) 2) into +nan.0
7.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.142 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
7.152 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0
7.152 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
7.153 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0)
7.153 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
7.154 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (- (log (/ 1 (- N)))))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (log (/ -1 N)) (* +nan.0 (/ 1 N)))))
7.155 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1)
7.155 * [backup-simplify]: Simplify (/ (+ N 1.0) (sqrt N)) into (* (sqrt (/ 1 N)) (+ N 1.0))
7.155 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in (N) around 0
7.155 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N
7.155 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N
7.155 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.155 * [taylor]: Taking taylor expansion of N in N
7.155 * [backup-simplify]: Simplify 0 into 0
7.155 * [backup-simplify]: Simplify 1 into 1
7.155 * [backup-simplify]: Simplify (/ 1 1) into 1
7.156 * [backup-simplify]: Simplify (sqrt 0) into 0
7.157 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.157 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
7.157 * [taylor]: Taking taylor expansion of N in N
7.157 * [backup-simplify]: Simplify 0 into 0
7.157 * [backup-simplify]: Simplify 1 into 1
7.157 * [taylor]: Taking taylor expansion of 1.0 in N
7.157 * [backup-simplify]: Simplify 1.0 into 1.0
7.157 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N
7.157 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N
7.157 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.157 * [taylor]: Taking taylor expansion of N in N
7.157 * [backup-simplify]: Simplify 0 into 0
7.157 * [backup-simplify]: Simplify 1 into 1
7.158 * [backup-simplify]: Simplify (/ 1 1) into 1
7.158 * [backup-simplify]: Simplify (sqrt 0) into 0
7.159 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.159 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
7.159 * [taylor]: Taking taylor expansion of N in N
7.159 * [backup-simplify]: Simplify 0 into 0
7.159 * [backup-simplify]: Simplify 1 into 1
7.159 * [taylor]: Taking taylor expansion of 1.0 in N
7.159 * [backup-simplify]: Simplify 1.0 into 1.0
7.160 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
7.160 * [backup-simplify]: Simplify (* 0 1.0) into 0
7.160 * [backup-simplify]: Simplify 0 into 0
7.161 * [backup-simplify]: Simplify (+ 1 0) into 1
7.162 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 1.0)) into (- +nan.0)
7.162 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
7.162 * [backup-simplify]: Simplify (+ 0 0) into 0
7.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.164 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.166 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1) (* +nan.0 1.0))) into (- +nan.0)
7.166 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
7.166 * [backup-simplify]: Simplify (+ 0 0) into 0
7.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.169 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
7.172 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1) (* +nan.0 1.0)))) into (- +nan.0)
7.172 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
7.173 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 2)) (+ (* (- +nan.0) N) (- +nan.0))) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0)))))
7.173 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (sqrt (/ 1 N))) into (* (sqrt N) (+ (/ 1 N) 1.0))
7.173 * [approximate]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in (N) around 0
7.174 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N
7.174 * [taylor]: Taking taylor expansion of (sqrt N) in N
7.174 * [taylor]: Taking taylor expansion of N in N
7.174 * [backup-simplify]: Simplify 0 into 0
7.174 * [backup-simplify]: Simplify 1 into 1
7.174 * [backup-simplify]: Simplify (sqrt 0) into 0
7.175 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.175 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
7.175 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.175 * [taylor]: Taking taylor expansion of N in N
7.175 * [backup-simplify]: Simplify 0 into 0
7.175 * [backup-simplify]: Simplify 1 into 1
7.175 * [backup-simplify]: Simplify (/ 1 1) into 1
7.175 * [taylor]: Taking taylor expansion of 1.0 in N
7.175 * [backup-simplify]: Simplify 1.0 into 1.0
7.175 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N
7.175 * [taylor]: Taking taylor expansion of (sqrt N) in N
7.175 * [taylor]: Taking taylor expansion of N in N
7.175 * [backup-simplify]: Simplify 0 into 0
7.175 * [backup-simplify]: Simplify 1 into 1
7.175 * [backup-simplify]: Simplify (sqrt 0) into 0
7.176 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.176 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
7.176 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.176 * [taylor]: Taking taylor expansion of N in N
7.176 * [backup-simplify]: Simplify 0 into 0
7.176 * [backup-simplify]: Simplify 1 into 1
7.176 * [backup-simplify]: Simplify (/ 1 1) into 1
7.176 * [taylor]: Taking taylor expansion of 1.0 in N
7.176 * [backup-simplify]: Simplify 1.0 into 1.0
7.177 * [backup-simplify]: Simplify (+ 1 0) into 1
7.177 * [backup-simplify]: Simplify (* 0 1) into 0
7.177 * [backup-simplify]: Simplify 0 into 0
7.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.178 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
7.179 * [backup-simplify]: Simplify (+ (* 0 1.0) (* +nan.0 1)) into (- +nan.0)
7.179 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
7.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.180 * [backup-simplify]: Simplify (+ 0 0) into 0
7.182 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.183 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1.0) (* +nan.0 1))) into (- +nan.0)
7.184 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
7.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.184 * [backup-simplify]: Simplify (+ 0 0) into 0
7.187 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
7.189 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1.0) (* +nan.0 1)))) into (- +nan.0)
7.189 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
7.190 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0)))))
7.190 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (sqrt (/ 1 (- N)))) into (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))
7.191 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in (N) around 0
7.191 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N
7.191 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
7.191 * [taylor]: Taking taylor expansion of 1.0 in N
7.191 * [backup-simplify]: Simplify 1.0 into 1.0
7.191 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.191 * [taylor]: Taking taylor expansion of N in N
7.191 * [backup-simplify]: Simplify 0 into 0
7.191 * [backup-simplify]: Simplify 1 into 1
7.191 * [backup-simplify]: Simplify (/ 1 1) into 1
7.191 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N
7.191 * [taylor]: Taking taylor expansion of (/ -1 N) in N
7.191 * [taylor]: Taking taylor expansion of -1 in N
7.191 * [backup-simplify]: Simplify -1 into -1
7.191 * [taylor]: Taking taylor expansion of N in N
7.191 * [backup-simplify]: Simplify 0 into 0
7.191 * [backup-simplify]: Simplify 1 into 1
7.191 * [backup-simplify]: Simplify (/ -1 1) into -1
7.191 * [backup-simplify]: Simplify (sqrt 0) into 0
7.192 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
7.193 * [backup-simplify]: Simplify (- 1) into -1
7.193 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.193 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0
7.193 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N
7.193 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
7.193 * [taylor]: Taking taylor expansion of 1.0 in N
7.193 * [backup-simplify]: Simplify 1.0 into 1.0
7.193 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.193 * [taylor]: Taking taylor expansion of N in N
7.193 * [backup-simplify]: Simplify 0 into 0
7.194 * [backup-simplify]: Simplify 1 into 1
7.194 * [backup-simplify]: Simplify (/ 1 1) into 1
7.194 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N
7.194 * [taylor]: Taking taylor expansion of (/ -1 N) in N
7.194 * [taylor]: Taking taylor expansion of -1 in N
7.194 * [backup-simplify]: Simplify -1 into -1
7.194 * [taylor]: Taking taylor expansion of N in N
7.194 * [backup-simplify]: Simplify 0 into 0
7.194 * [backup-simplify]: Simplify 1 into 1
7.195 * [backup-simplify]: Simplify (/ -1 1) into -1
7.195 * [backup-simplify]: Simplify (sqrt 0) into 0
7.197 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
7.197 * [backup-simplify]: Simplify (- 1) into -1
7.197 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.198 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0
7.198 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.199 * [backup-simplify]: Simplify (- 0) into 0
7.199 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
7.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.203 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.206 * [backup-simplify]: Simplify (- (/ 1.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
7.206 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
7.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.208 * [backup-simplify]: Simplify (- 0) into 0
7.208 * [backup-simplify]: Simplify (+ 0 0) into 0
7.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.213 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
7.217 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
7.218 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
7.219 * [backup-simplify]: Simplify (+ (* (- +nan.0) (/ 1 (- N))) (+ (- +nan.0) (* +nan.0 (/ 1 (/ 1 (- N)))))) into (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 N) (- +nan.0)))))
7.219 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1)
7.219 * [backup-simplify]: Simplify (log (sqrt N)) into (log (sqrt N))
7.219 * [approximate]: Taking taylor expansion of (log (sqrt N)) in (N) around 0
7.219 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N
7.219 * [taylor]: Taking taylor expansion of (sqrt N) in N
7.219 * [taylor]: Taking taylor expansion of N in N
7.219 * [backup-simplify]: Simplify 0 into 0
7.219 * [backup-simplify]: Simplify 1 into 1
7.219 * [backup-simplify]: Simplify (sqrt 0) into 0
7.221 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.221 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0)
7.221 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N
7.221 * [taylor]: Taking taylor expansion of (sqrt N) in N
7.221 * [taylor]: Taking taylor expansion of N in N
7.221 * [backup-simplify]: Simplify 0 into 0
7.221 * [backup-simplify]: Simplify 1 into 1
7.222 * [backup-simplify]: Simplify (sqrt 0) into 0
7.223 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.223 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0)
7.224 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log +nan.0)) into (+ (log N) (log +nan.0))
7.225 * [backup-simplify]: Simplify (+ (log N) (log +nan.0)) into (+ (log N) (log +nan.0))
7.226 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.230 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0
7.230 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.233 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
7.240 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0
7.240 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.241 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (+ (log N) (log +nan.0)))) into (- (+ (log N) (log +nan.0)) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2)))))
7.241 * [backup-simplify]: Simplify (log (sqrt (/ 1 N))) into (log (sqrt (/ 1 N)))
7.241 * [approximate]: Taking taylor expansion of (log (sqrt (/ 1 N))) in (N) around 0
7.241 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N
7.241 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N
7.241 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.241 * [taylor]: Taking taylor expansion of N in N
7.241 * [backup-simplify]: Simplify 0 into 0
7.241 * [backup-simplify]: Simplify 1 into 1
7.241 * [backup-simplify]: Simplify (/ 1 1) into 1
7.241 * [backup-simplify]: Simplify (sqrt 0) into 0
7.242 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.242 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0)
7.242 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N
7.242 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N
7.242 * [taylor]: Taking taylor expansion of (/ 1 N) in N
7.242 * [taylor]: Taking taylor expansion of N in N
7.242 * [backup-simplify]: Simplify 0 into 0
7.243 * [backup-simplify]: Simplify 1 into 1
7.243 * [backup-simplify]: Simplify (/ 1 1) into 1
7.243 * [backup-simplify]: Simplify (sqrt 0) into 0
7.244 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.244 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0)
7.244 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0)
7.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.246 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.252 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0
7.252 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.256 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
7.267 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0
7.268 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.268 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N)))))
7.268 * [backup-simplify]: Simplify (log (sqrt (/ 1 (- N)))) into (log (sqrt (/ -1 N)))
7.268 * [approximate]: Taking taylor expansion of (log (sqrt (/ -1 N))) in (N) around 0
7.268 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N
7.268 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N
7.268 * [taylor]: Taking taylor expansion of (/ -1 N) in N
7.268 * [taylor]: Taking taylor expansion of -1 in N
7.268 * [backup-simplify]: Simplify -1 into -1
7.268 * [taylor]: Taking taylor expansion of N in N
7.268 * [backup-simplify]: Simplify 0 into 0
7.268 * [backup-simplify]: Simplify 1 into 1
7.269 * [backup-simplify]: Simplify (/ -1 1) into -1
7.269 * [backup-simplify]: Simplify (sqrt 0) into 0
7.270 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
7.270 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0)
7.270 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N
7.270 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N
7.270 * [taylor]: Taking taylor expansion of (/ -1 N) in N
7.270 * [taylor]: Taking taylor expansion of -1 in N
7.270 * [backup-simplify]: Simplify -1 into -1
7.270 * [taylor]: Taking taylor expansion of N in N
7.270 * [backup-simplify]: Simplify 0 into 0
7.270 * [backup-simplify]: Simplify 1 into 1
7.270 * [backup-simplify]: Simplify (/ -1 1) into -1
7.270 * [backup-simplify]: Simplify (sqrt 0) into 0
7.271 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
7.271 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0)
7.272 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0)
7.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.274 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.277 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0
7.278 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.281 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
7.288 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0
7.288 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.289 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N)))))
7.289 * * * [progress]: simplifying candidates
7.291 * [simplify]: Simplifying:
  (expm1 (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))))
  (log1p (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))))
  (* (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)))
  (* (exp (- (log (sqrt N)))) (/ (+ N 1.0) (sqrt N)))
  (log (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))))
  (exp (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))))
  (* (cbrt (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (cbrt (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))))
  (cbrt (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))))
  (* (* (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))))
  (sqrt (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))))
  (sqrt (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))))
  (+ (pow (- (log (sqrt N))) 3) (pow (log (/ (+ N 1.0) (sqrt N))) 3))
  (+ (* (- (log (sqrt N))) (- (log (sqrt N)))) (- (* (log (/ (+ N 1.0) (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (* (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))))
  (- (* (- (log (sqrt N))) (- (log (sqrt N)))) (* (log (/ (+ N 1.0) (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))))
  (- (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))
  (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))
  (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))
  (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))
  (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))
  (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))
  (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))
  (+ (- (log (sqrt N))) (log (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))))))
  (+ (- (log (sqrt N))) (log (sqrt (/ (+ N 1.0) (sqrt N)))))
  (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (sqrt N)) (cbrt (sqrt N))))))
  (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (* (cbrt N) (cbrt N))))))
  (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (sqrt N)))))
  (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt 1))))
  (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (sqrt N)))))
  (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)))
  (+ (- (log (sqrt N))) (log (/ (sqrt (+ N 1.0)) (* (cbrt (sqrt N)) (cbrt (sqrt N))))))
  (+ (- (log (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt (* (cbrt N) (cbrt N))))))
  (+ (- (log (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt (sqrt N)))))
  (+ (- (log (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt 1))))
  (+ (- (log (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt (sqrt N)))))
  (+ (- (log (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)))
  (+ (- (log (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N))))))
  (+ (- (log (sqrt N))) (log (/ 1 (sqrt (* (cbrt N) (cbrt N))))))
  (+ (- (log (sqrt N))) (log (/ 1 (sqrt (sqrt N)))))
  (+ (- (log (sqrt N))) (log (/ 1 (sqrt 1))))
  (+ (- (log (sqrt N))) (log (/ 1 (sqrt (sqrt N)))))
  (+ (- (log (sqrt N))) (log (/ 1 1)))
  (+ (- (log (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N))))))
  (+ (- (log (sqrt N))) (log (/ 1 (sqrt (* (cbrt N) (cbrt N))))))
  (+ (- (log (sqrt N))) (log (/ 1 (sqrt (sqrt N)))))
  (+ (- (log (sqrt N))) (log (/ 1 (sqrt 1))))
  (+ (- (log (sqrt N))) (log (/ 1 (sqrt (sqrt N)))))
  (+ (- (log (sqrt N))) (log (/ 1 1)))
  (+ (- (log (sqrt N))) (log 1))
  (+ (- (log (sqrt N))) (log (+ N 1.0)))
  (+ (- (log (cbrt (sqrt N)))) (log (/ (+ N 1.0) (sqrt N))))
  (+ (- (log (sqrt (cbrt N)))) (log (/ (+ N 1.0) (sqrt N))))
  (+ (- (log (sqrt (sqrt N)))) (log (/ (+ N 1.0) (sqrt N))))
  (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))
  (+ (- (log (sqrt (sqrt N)))) (log (/ (+ N 1.0) (sqrt N))))
  (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))
  (+ (- (log (sqrt N))) (log (+ N 1.0)))
  (- (log (sqrt N)) (log (/ (+ N 1.0) (sqrt N))))
  (expm1 (/ (+ N 1.0) (sqrt N)))
  (log1p (/ (+ N 1.0) (sqrt N)))
  (- (log (+ N 1.0)) (log (sqrt N)))
  (log (/ (+ N 1.0) (sqrt N)))
  (exp (/ (+ N 1.0) (sqrt N)))
  (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* (sqrt N) (sqrt N)) (sqrt N)))
  (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))))
  (cbrt (/ (+ N 1.0) (sqrt N)))
  (* (* (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) (sqrt N))) (/ (+ N 1.0) (sqrt N)))
  (sqrt (/ (+ N 1.0) (sqrt N)))
  (sqrt (/ (+ N 1.0) (sqrt N)))
  (- (+ N 1.0))
  (- (sqrt N))
  (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (sqrt N)) (cbrt (sqrt N))))
  (/ (cbrt (+ N 1.0)) (cbrt (sqrt N)))
  (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (* (cbrt N) (cbrt N))))
  (/ (cbrt (+ N 1.0)) (sqrt (cbrt N)))
  (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (sqrt N)))
  (/ (cbrt (+ N 1.0)) (sqrt (sqrt N)))
  (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt 1))
  (/ (cbrt (+ N 1.0)) (sqrt N))
  (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (sqrt N)))
  (/ (cbrt (+ N 1.0)) (sqrt (sqrt N)))
  (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)
  (/ (cbrt (+ N 1.0)) (sqrt N))
  (/ (sqrt (+ N 1.0)) (* (cbrt (sqrt N)) (cbrt (sqrt N))))
  (/ (sqrt (+ N 1.0)) (cbrt (sqrt N)))
  (/ (sqrt (+ N 1.0)) (sqrt (* (cbrt N) (cbrt N))))
  (/ (sqrt (+ N 1.0)) (sqrt (cbrt N)))
  (/ (sqrt (+ N 1.0)) (sqrt (sqrt N)))
  (/ (sqrt (+ N 1.0)) (sqrt (sqrt N)))
  (/ (sqrt (+ N 1.0)) (sqrt 1))
  (/ (sqrt (+ N 1.0)) (sqrt N))
  (/ (sqrt (+ N 1.0)) (sqrt (sqrt N)))
  (/ (sqrt (+ N 1.0)) (sqrt (sqrt N)))
  (/ (sqrt (+ N 1.0)) 1)
  (/ (sqrt (+ N 1.0)) (sqrt N))
  (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N))))
  (/ (+ N 1.0) (cbrt (sqrt N)))
  (/ 1 (sqrt (* (cbrt N) (cbrt N))))
  (/ (+ N 1.0) (sqrt (cbrt N)))
  (/ 1 (sqrt (sqrt N)))
  (/ (+ N 1.0) (sqrt (sqrt N)))
  (/ 1 (sqrt 1))
  (/ (+ N 1.0) (sqrt N))
  (/ 1 (sqrt (sqrt N)))
  (/ (+ N 1.0) (sqrt (sqrt N)))
  (/ 1 1)
  (/ (+ N 1.0) (sqrt N))
  (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N))))
  (/ (+ N 1.0) (cbrt (sqrt N)))
  (/ 1 (sqrt (* (cbrt N) (cbrt N))))
  (/ (+ N 1.0) (sqrt (cbrt N)))
  (/ 1 (sqrt (sqrt N)))
  (/ (+ N 1.0) (sqrt (sqrt N)))
  (/ 1 (sqrt 1))
  (/ (+ N 1.0) (sqrt N))
  (/ 1 (sqrt (sqrt N)))
  (/ (+ N 1.0) (sqrt (sqrt N)))
  (/ 1 1)
  (/ (+ N 1.0) (sqrt N))
  (/ 1 (sqrt N))
  (/ (sqrt N) (+ N 1.0))
  (/ (+ N 1.0) (* (cbrt (sqrt N)) (cbrt (sqrt N))))
  (/ (+ N 1.0) (sqrt (* (cbrt N) (cbrt N))))
  (/ (+ N 1.0) (sqrt (sqrt N)))
  (/ (+ N 1.0) (sqrt 1))
  (/ (+ N 1.0) (sqrt (sqrt N)))
  (/ (+ N 1.0) 1)
  (/ (sqrt N) (cbrt (+ N 1.0)))
  (/ (sqrt N) (sqrt (+ N 1.0)))
  (/ (sqrt N) (+ N 1.0))
  (/ (sqrt N) (+ N 1.0))
  (* (sqrt N) (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))
  (* (sqrt N) (- N 1.0))
  (expm1 (log (sqrt N)))
  (log1p (log (sqrt N)))
  (log (* (cbrt (sqrt N)) (cbrt (sqrt N))))
  (log (cbrt (sqrt N)))
  (log (sqrt (* (cbrt N) (cbrt N))))
  (log (sqrt (cbrt N)))
  (log (sqrt (sqrt N)))
  (log (sqrt (sqrt N)))
  (log (sqrt 1))
  (log (sqrt N))
  (log (sqrt (sqrt N)))
  (log (sqrt (sqrt N)))
  (log 1)
  (log (sqrt N))
  (log N)
  (log (sqrt N))
  (log N)
  (log (log (sqrt N)))
  (exp (log (sqrt N)))
  (* (cbrt (log (sqrt N))) (cbrt (log (sqrt N))))
  (cbrt (log (sqrt N)))
  (* (* (log (sqrt N)) (log (sqrt N))) (log (sqrt N)))
  (sqrt (log (sqrt N)))
  (sqrt (log (sqrt N)))
  (- (log (- +nan.0)) (+ (* +nan.0 N) (- (+ (log N) (log +nan.0)) (* +nan.0 (pow N 2)))))
  (- (log (- +nan.0)) (+ (* +nan.0 (/ 1 (pow N 2))) (- (log +nan.0) (* +nan.0 (/ 1 N)))))
  (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (log (/ -1 N)) (* +nan.0 (/ 1 N)))))
  (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0)))))
  (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0)))))
  (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 N) (- +nan.0)))))
  (- (+ (log N) (log +nan.0)) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2)))))
  (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N)))))
  (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N)))))
7.293 * * [simplify]: iteration 0: 205 enodes
7.347 * * [simplify]: iteration 1: 486 enodes
7.577 * * [simplify]: iteration 2: 1976 enodes
8.365 * * [simplify]: iteration complete: 5000 enodes
8.365 * * [simplify]: Extracting #0: cost 98 inf + 0
8.367 * * [simplify]: Extracting #1: cost 607 inf + 2
8.379 * * [simplify]: Extracting #2: cost 1453 inf + 3160
8.395 * * [simplify]: Extracting #3: cost 1034 inf + 98100
8.456 * * [simplify]: Extracting #4: cost 163 inf + 305479
8.537 * * [simplify]: Extracting #5: cost 7 inf + 351060
8.625 * * [simplify]: Extracting #6: cost 0 inf + 353936
8.709 * [simplify]: Simplified to:
  (expm1 (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))))
  (log1p (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))))
  (/ (/ (+ N 1.0) (sqrt N)) (sqrt N))
  (/ (/ (+ N 1.0) (sqrt N)) (sqrt N))
  (log (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))))
  (/ (/ (+ N 1.0) (sqrt N)) (sqrt N))
  (* (cbrt (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (cbrt (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))))
  (cbrt (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))))
  (* (* (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))))
  (sqrt (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))))
  (sqrt (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))))
  (- (* (* (log (/ (+ N 1.0) (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (log (/ (+ N 1.0) (sqrt N)))) (* (* (log (sqrt N)) (log (sqrt N))) (log (sqrt N))))
  (fma (log (/ (+ N 1.0) (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (fma (log (sqrt N)) (log (/ (+ N 1.0) (sqrt N))) (* (log (sqrt N)) (log (sqrt N)))))
  (- (* (log (sqrt N)) (log (sqrt N))) (* (log (/ (+ N 1.0) (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))))
  (- 0 (log (+ N 1.0)))
  (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))
  (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))
  (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))
  (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))
  (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))
  (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))
  (- (+ (log (cbrt (/ (+ N 1.0) (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N))))) (log (sqrt N)))
  (- (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt N)))
  (- (+ (log (/ (cbrt (+ N 1.0)) (cbrt (sqrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt (sqrt N))))) (log (sqrt N)))
  (- (log (* (/ (cbrt (+ N 1.0)) (fabs (cbrt N))) (cbrt (+ N 1.0)))) (log (sqrt N)))
  (- (log (/ (cbrt (+ N 1.0)) (/ (sqrt (sqrt N)) (cbrt (+ N 1.0))))) (log (sqrt N)))
  (- (+ (log (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0)))) (log (sqrt N)))
  (- (log (/ (cbrt (+ N 1.0)) (/ (sqrt (sqrt N)) (cbrt (+ N 1.0))))) (log (sqrt N)))
  (- (+ (log (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0)))) (log (sqrt N)))
  (- (log (/ (sqrt (+ N 1.0)) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (log (sqrt N)))
  (- (log (/ (sqrt (+ N 1.0)) (fabs (cbrt N)))) (log (sqrt N)))
  (- (log (/ (sqrt (+ N 1.0)) (sqrt (sqrt N)))) (log (sqrt N)))
  (- (log (sqrt (+ N 1.0))) (log (sqrt N)))
  (- (log (/ (sqrt (+ N 1.0)) (sqrt (sqrt N)))) (log (sqrt N)))
  (- (log (sqrt (+ N 1.0))) (log (sqrt N)))
  (- (fma 2 (log (cbrt (sqrt N))) (log (sqrt N))))
  (- (+ (log (sqrt N)) (log (fabs (cbrt N)))))
  (- (+ (log (sqrt N)) (log (sqrt (sqrt N)))))
  (- (log (sqrt N)))
  (- (+ (log (sqrt N)) (log (sqrt (sqrt N)))))
  (- (log (sqrt N)))
  (- (fma 2 (log (cbrt (sqrt N))) (log (sqrt N))))
  (- (+ (log (sqrt N)) (log (fabs (cbrt N)))))
  (- (+ (log (sqrt N)) (log (sqrt (sqrt N)))))
  (- (log (sqrt N)))
  (- (+ (log (sqrt N)) (log (sqrt (sqrt N)))))
  (- (log (sqrt N)))
  (- (log (sqrt N)))
  (log (/ (+ N 1.0) (sqrt N)))
  (- (log (/ (+ N 1.0) (sqrt N))) (log (cbrt (sqrt N))))
  (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt (cbrt N))))
  (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt (sqrt N))))
  (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))
  (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt (sqrt N))))
  (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))
  (log (/ (+ N 1.0) (sqrt N)))
  (- (log (sqrt N)) (log (/ (+ N 1.0) (sqrt N))))
  (expm1 (/ (+ N 1.0) (sqrt N)))
  (log1p (/ (+ N 1.0) (sqrt N)))
  (log (/ (+ N 1.0) (sqrt N)))
  (log (/ (+ N 1.0) (sqrt N)))
  (exp (/ (+ N 1.0) (sqrt N)))
  (* (* (/ (+ N 1.0) (sqrt N)) (+ N 1.0)) (/ (+ N 1.0) N))
  (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))))
  (cbrt (/ (+ N 1.0) (sqrt N)))
  (* (/ (+ N 1.0) (sqrt N)) (* (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) (sqrt N))))
  (sqrt (/ (+ N 1.0) (sqrt N)))
  (sqrt (/ (+ N 1.0) (sqrt N)))
  (- (+ N 1.0))
  (- (sqrt N))
  (* (/ (cbrt (+ N 1.0)) (cbrt (sqrt N))) (/ (cbrt (+ N 1.0)) (cbrt (sqrt N))))
  (/ (cbrt (+ N 1.0)) (cbrt (sqrt N)))
  (* (/ (cbrt (+ N 1.0)) (fabs (cbrt N))) (cbrt (+ N 1.0)))
  (/ (cbrt (+ N 1.0)) (sqrt (cbrt N)))
  (/ (cbrt (+ N 1.0)) (/ (sqrt (sqrt N)) (cbrt (+ N 1.0))))
  (/ (cbrt (+ N 1.0)) (sqrt (sqrt N)))
  (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))
  (/ (cbrt (+ N 1.0)) (sqrt N))
  (/ (cbrt (+ N 1.0)) (/ (sqrt (sqrt N)) (cbrt (+ N 1.0))))
  (/ (cbrt (+ N 1.0)) (sqrt (sqrt N)))
  (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))
  (/ (cbrt (+ N 1.0)) (sqrt N))
  (/ (sqrt (+ N 1.0)) (* (cbrt (sqrt N)) (cbrt (sqrt N))))
  (/ (sqrt (+ N 1.0)) (cbrt (sqrt N)))
  (/ (sqrt (+ N 1.0)) (fabs (cbrt N)))
  (/ (sqrt (+ N 1.0)) (sqrt (cbrt N)))
  (/ (sqrt (+ N 1.0)) (sqrt (sqrt N)))
  (/ (sqrt (+ N 1.0)) (sqrt (sqrt N)))
  (sqrt (+ N 1.0))
  (/ (sqrt (+ N 1.0)) (sqrt N))
  (/ (sqrt (+ N 1.0)) (sqrt (sqrt N)))
  (/ (sqrt (+ N 1.0)) (sqrt (sqrt N)))
  (sqrt (+ N 1.0))
  (/ (sqrt (+ N 1.0)) (sqrt N))
  (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N))))
  (/ (+ N 1.0) (cbrt (sqrt N)))
  (/ 1 (fabs (cbrt N)))
  (/ (+ N 1.0) (sqrt (cbrt N)))
  (/ 1 (sqrt (sqrt N)))
  (/ (+ N 1.0) (sqrt (sqrt N)))
  1
  (/ (+ N 1.0) (sqrt N))
  (/ 1 (sqrt (sqrt N)))
  (/ (+ N 1.0) (sqrt (sqrt N)))
  1
  (/ (+ N 1.0) (sqrt N))
  (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N))))
  (/ (+ N 1.0) (cbrt (sqrt N)))
  (/ 1 (fabs (cbrt N)))
  (/ (+ N 1.0) (sqrt (cbrt N)))
  (/ 1 (sqrt (sqrt N)))
  (/ (+ N 1.0) (sqrt (sqrt N)))
  1
  (/ (+ N 1.0) (sqrt N))
  (/ 1 (sqrt (sqrt N)))
  (/ (+ N 1.0) (sqrt (sqrt N)))
  1
  (/ (+ N 1.0) (sqrt N))
  (/ 1 (sqrt N))
  (/ (sqrt N) (+ N 1.0))
  (/ (+ N 1.0) (* (cbrt (sqrt N)) (cbrt (sqrt N))))
  (/ (+ N 1.0) (fabs (cbrt N)))
  (/ (+ N 1.0) (sqrt (sqrt N)))
  (+ N 1.0)
  (/ (+ N 1.0) (sqrt (sqrt N)))
  (+ N 1.0)
  (/ (sqrt N) (cbrt (+ N 1.0)))
  (/ (sqrt N) (sqrt (+ N 1.0)))
  (/ (sqrt N) (+ N 1.0))
  (/ (sqrt N) (+ N 1.0))
  (* (sqrt N) (fma N N (* 1.0 (- 1.0 N))))
  (* (sqrt N) (- N 1.0))
  (expm1 (log (sqrt N)))
  (log1p (log (sqrt N)))
  (log (* (cbrt (sqrt N)) (cbrt (sqrt N))))
  (log (cbrt (sqrt N)))
  (log (fabs (cbrt N)))
  (log (sqrt (cbrt N)))
  (log (sqrt (sqrt N)))
  (log (sqrt (sqrt N)))
  0
  (log (sqrt N))
  (log (sqrt (sqrt N)))
  (log (sqrt (sqrt N)))
  0
  (log (sqrt N))
  (log N)
  (log (sqrt N))
  (log N)
  (log (log (sqrt N)))
  (sqrt N)
  (* (cbrt (log (sqrt N))) (cbrt (log (sqrt N))))
  (cbrt (log (sqrt N)))
  (* (* (log (sqrt N)) (log (sqrt N))) (log (sqrt N)))
  (sqrt (log (sqrt N)))
  (sqrt (log (sqrt N)))
  (- (log (- +nan.0)) (+ (+ (log +nan.0) (log N)) (* +nan.0 (- N (* N N)))))
  (- (log (- +nan.0)) (fma (/ +nan.0 N) (/ 1 N) (- (log +nan.0) (/ +nan.0 N))))
  (- (+ (fma +nan.0 (/ -1 N) (log (/ -1 N))) (/ +nan.0 (* N N))))
  (- (fma +nan.0 (- N (* N N)) +nan.0))
  (fma +nan.0 (/ -1 (* N N)) (- (/ +nan.0 N) +nan.0))
  (fma +nan.0 (/ -1 N) (- (* +nan.0 N) +nan.0))
  (- (+ (log +nan.0) (log N)) (* +nan.0 (- N (* N N))))
  (+ (- (log +nan.0) (/ +nan.0 (* N N))) (/ +nan.0 N))
  (+ (- (log +nan.0) (/ +nan.0 (* N N))) (/ +nan.0 N))
8.723 * * * [progress]: adding candidates to table
9.393 * [progress]: [Phase 3 of 3] Extracting.
9.393 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (exp (log (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))))))> #<alt (λ (N) (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))))> #<alt (λ (N) (log (/ (+ N 1.0) N)))>)
9.395 * * * [regime-changes]: Trying 1 branch expressions: (N)
9.395 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (exp (log (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))))))> #<alt (λ (N) (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))))> #<alt (λ (N) (log (/ (+ N 1.0) N)))>)
9.456 * * * [regime]: Found split indices: #<option (#s(si 2 122) #s(si 1 255))>
9.457 * [binary-search]: Improving bounds with binary search for N and (#<alt (λ (N) (exp (log (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))))))> #<alt (λ (N) (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))))> #<alt (λ (N) (log (/ (+ N 1.0) N)))>)
9.488 * [regimes]: Found splitpoints: (#s(sp 2 N 8915.293301236256) #s(sp 1 N +nan.0)) , with alts (#<alt (λ (N) (exp (log (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))))))> #<alt (λ (N) (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))))> #<alt (λ (N) (log (/ (+ N 1.0) N)))>)
9.488 * [simplify]: Simplifying:
  (if (<= N 8915.293301236256) (log (/ (+ N 1.0) N)) (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))))
9.489 * * [simplify]: iteration 0: 17 enodes
9.489 * * [simplify]: iteration 1: 21 enodes
9.490 * * [simplify]: iteration complete: 21 enodes
9.490 * * [simplify]: Extracting #0: cost 1 inf + 0
9.490 * * [simplify]: Extracting #1: cost 4 inf + 0
9.490 * * [simplify]: Extracting #2: cost 10 inf + 0
9.490 * * [simplify]: Extracting #3: cost 11 inf + 3
9.490 * * [simplify]: Extracting #4: cost 9 inf + 195
9.490 * * [simplify]: Extracting #5: cost 6 inf + 472
9.490 * * [simplify]: Extracting #6: cost 3 inf + 598
9.491 * * [simplify]: Extracting #7: cost 1 inf + 1062
9.491 * * [simplify]: Extracting #8: cost 0 inf + 1603
9.491 * [simplify]: Simplified to:
  (if (<= N 8915.293301236256) (log (/ (+ 1.0 N) N)) (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))))
12.950 * [regime-testing]: Baseline error score: 31.91192967090762
12.960 * [regime-testing]: Oracle error score: 0.05157180781238075
12.981 * [regime-testing]: End program error score: 0.053342271167626125